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Reactor Safety Design and Safety Analysis
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1. ga Ke bs Is 4 INCH i EXPERIMENTAL EAD ing HOLE OOR JOA Kot 2 INCH L EXPERIMENTAL HOLE THERMAL SHIELOS NORTH SOUTH ELEVATION an eer EAST WEST ELEVATION aa Figure 14 NRX elevation The 12 rods were divided into six groups or banks of rods ranging from one to four rods per bank Normally a safeguard bank was held in reserve that is bank 1 containing four rods was Reactor Safety Design and Safety Analysis 38 The Essential CANDU the first to be removed during a start up and was designed to overcome any reactivity added if the reactor should go inadvertently critical on removal of any of the remaining banks of rods Removal of the safeguard bank was prohibited by limit switches on each rod unless all other rods were down however the switches had been giving trouble and had been disabled To ensure fast start up after a shutdown and avoid xenon poison out it was possible to drive up the first four rods worth 30 mk in a few seconds There were four pushbuttons on the control panel Pushbutton 4 charged air to the heads of the shut off rods release of this air drove the rods down Pushbutton 3 temporarily increased the current in the electromagnet and ensured that the rods were properly seated Pushbutton 1 raised the safeguard bank and Pushbutton 2 raised the remaining banks in automatic se quence Normal operation was to press Pushbutton 3 along with 4 1 and 2
2. 4 A nuclear regulator is considering a high level safety goal for new nuclear power plants in Canada He proposes two requirements a The risk to an individual close to the nuclear power plant of dying immediately from an accident must be less than 10 per year b The risk to an individual close to the nuclear power plant of getting cancer from an accident must be less than 10 per year Two nuclear power plants apply for a licence Each has done an accident analysis and the results are as follows 1 For plant 1 no significant releases occur for any accident above a frequency of 10 per year However there is a core melt at that frequency which fails con tainment and gives a dose of 10 Sv to each individual in the nearby population 2 For plant 2 two accidents are the major contributors to risk One causes severe fuel damage but prevents core melt It occurs at a frequency of 10 per year and gives a dose of 0 25 Sv to a number of individuals in the nearby population The other is a core melt but it is contained it occurs at a frequency of 10 per year and gives a dose of 1 Sv to a number of individuals in the nearby population Determine numerically whether these plants meet either or both safety goals or neither one Hint consider converting average dose to risk 2 Design Basis Accidents In Section 1 8 the concept of stylized accidents design basis accidents that could be used in designing parts of the plant w
3. A S V3 Top event A B S V3 S P1 S V1 S P2 S V2 V3 S P1 V1 e S P2 V2 because S S V3 Se S P2 V2 P1e S P2 V2 V10 S P2 V2 V3 P1eP2 P1eV2 P2eV1 V1eV2 using SeS S S S S and Se S x S We can see immediately as is obvious from the diagram that S and V3 are single points of failure for this poorly designed system Now we can plug in the numbers Top event 0 001 0 01 4 0 01 0 0114 4 2 3 5 Event trees The companion to a fault tree is an event tree While a fault tree answers the question what is the unavailability or failure rate of this system an event tree answers the question what happens after the system fails The end result of an event tree is that the plant ends up in one of three main states stable core damage or large release in practice these states are often subdivided Unlike fault trees which are written from the top to the bottom of the page event trees are written from left to right Here are the steps e Start at left from the undesired initiating event e g loss of feed water loss of coolant e List the relevant mitigating systems along the top from left to right in approximate order of actuation e At each branch where a mitigating system is called on assign the probability of suc cess or failure e Develop each branch logically to a stable end state core damage or a large release e Calculate the frequency of each end point
4. 10 Sometimes it is hard to ensure that redundant systems are completely independent b As above but what is the probability that either will fail in an accident Answer We can use the rare events approximation because P A and P A2 are lt lt 1 Here we want P A Aj P A A2 P A1 P A 10 10 2 x 10 c Now consider two independent diesel generators each with a probability of failure to start of 15 What is the probability that either will fail to start Answer Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 59 We cannot really use the rare events approximation here so P A1 A2 P A1 P Az P A1A2 0 15 0 15 0 15 0 15 0 28 4 2 2 Bayes equation The Bayes equation is typically used in nuclear power applications to predict the likelihood of a rare event given the history of few or no such events We will prove it first and then give some examples which make it clearer Given an event or hypothesis B and A mutually exclusive events or hypotheses n 1 2 N P A B P A P BIA P B P A B 5 P BIA P A B P A EBT 6 P B Because the events A are mutually exclusive N gt P A B 1 7 n l Multiplying by P B P B PCB PCA B PCA P B A n l pal 8 Substituting 8 into 6 P A 1p ZAPELA gt P A P BIA m 1 9 This is Bayes theorem Therefore if we
5. 9 Water pipelines 10 Fuel element cladding control system 11 Upper biological shield 12 Lateral biological shield 13 Lower biological shield 14 Cooling pond 15 Unloading loading machine ULM 16 Bridge crane SAAR GNAD i Ln t gt eet ITT A sectional view of the RBMK 1000 reactor With an electrical power of 1000 MW the reactor s thermal power is 3140 MW the coolant flow is 37 5 X 10 t h and steam capacity 5 4 X 10 t h The reactor inlet water temperature is 270 C and the saturated steam temperature 284 C with a pressure in the separator of 70 kg cm The initial fuel enrichment is 1 8 Figure 16 RBMK reactor Reactor Safety Design and Safety Analysis 43 44 The Essential CANDU In terms of health effects UNSCEAR 2000 UNSCEAR 2008 28 prompt deaths occurred among the reactor j j operators and the firefighters called gi 4 4G in to extinguish fires on the turbine 66 ie J hall roof arising from the ejected e Z fuel Some increase in leukemia has 600 H O been observed among the members 5 l i ty of the clean up crew Among the soo i public approximately 6 000 excess A thyroid cancers have been observed s 1 pe H H in children almost all of which are 3 Sa lo curable No other cancers have been b l i observed at statistically significant 2 200 levels in the population 100 3 1 3 3 Lessons learned 1 The effectiveness of shutdow
6. Acceptable limits are defined broadly with respect to the event frequency For example frequent occurrences minor faults such as loss of electrical power should not stress the system damage fuel or invoke protective systems Very infrequent events like a large loss of coolant are permitted to push the physical systems into plastic deformation or damage fuel but not to allow radioactive release beyond a prescribed limit Severe accidents may damage the core but should not fail the containment building This approach may but does not necessarily address the direct economic costs of a severe accident which can be huge even if the public safety impact is minimal e g Fukushima This framework implies that 1 We have to know what the possible accidents are 2 We have to be able to predict their frequency 3 We have to be able to predict their consequences Safety analysis is carried out at several stages in the plant life cycle e During preliminary design design assist to ensure that the design concepts meet safety requirements e During final design to confirm that safety requirements are met and to include the re sults as part of the applications for the licences required to construct and operate the plant see Chapter 16 e For an operating plant to incorporate the effects of any changes in the plant in funda mental knowledge in operating experience and in safety analysis methodology Three safety analysis metho
7. Consider the fastest reactivity accident in PWR i e rapid ejection of the largest worth control rod in a PWR Using the value of 7 5 mk for worst rod worth the reactor pe riod can be estimated of the order of a hundredth of a second following rod ejection It is not practically possible for engineered shutdown systems to stop such a fast rate of rise in power For PWRs it is not necessary to have such fast shutdown system because of a strong negative fuel temperature coefficient Hence PWRs can partly mitigate this event through negative feedback but engineered shutdown is still required after the ini tial transient Consider now the fastest reactivity accident in CANDU the large LOCA Since there are inherent physical limits to the speed and extent of channel voiding the net result is that the maximum rate of reactivity addition is approximately 4 mk sec and the reactor pe riod is about one second or so At that rate of reactivity insertion engineered shutdown systems can be reliably designed to terminate the power rise Current CANDU safety analysis does not predict prompt criticality for a large LOCA but even if it did the period would not change dramatically Prompt criticality is not the threshold of a sudden change in behaviour for a CANDU Reactor Safety Design and Safety Analysis 122 The Essential CANDU 0 01 7 0 008 ROD EJECTION i LWR 0 006 LLOCA CANDU Reactivity p 0 004 OTHER EVENT
8. For further information a detailed and quantitative comparison of power transients in LWRs and CANDUs has been given by Meneley and Muzumdar in two papers The first Meneley 2009 gives an overview comparison of positive reactivity insertion accidents whereas the second Muzumdar 2009 looks specifically at large LOCA events in CANDU These papers are recommended reading for those wishing to understand further the safety differences and similarities between the two reactor concepts 6 7 Accident Walk Through Small LOCA 6 7 1 Initiating event A CANDU has much more small diameter piping than large diameter piping because of the large number of parallel channels each served by an inlet and outlet feeder A break in any of these pipes or a similar sized break in the larger pipes is considered a small LOCA This includes a Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 125 break in a steam generator tube 6 7 2 Event sequence simplified Generally the event sequence is similar to a large LOCA but much extended in time The rate of rise of void reactivity is slow enough to be compensated for by the control system and therefore shutdown systems are triggered on process trips see Table 8 rather than neutronic trips Typical time scales are a few minutes before the ECC set points are reached and similarly the high pressure and medium pressure ECC phases are prolonged For a steam generator tu
9. In general N N 11 N P A A Ay J P Ay gt gt P A A CDT P A A Ay 66 n 1 n m n 1 If events are independent N 1 P A 4 Ay I P Ay I 67 n l 13 4 3 Rare independent events Assuming as is often but not always the case for nuclear failure probabilities that the events are both independent and rare or P Ay lt lt 1 then P A A Ay gt P Ay 68 n l Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 177 14 Appendix 2 Common Cause Failures An Example Consider two shut off rods each of which has a probability of failure of 0 001 per demand What is the probability that they both fail when required If they are independent then P A1A2 P A1 P A2 0 001 10 per demand Suppose that a common cause CC failure occurs 10 of the time That is P A1 P A2 0 0009 random 0 0001 CC and therefore the probability of one rod failing given that the other has failed is 90 random and 10 common cause with probability 1 P A1 A2 0 9 0 001 0 1 1 0 1009 or P A1A2 P A Az P Az 0 1009 0 001 0 0001009 10 Therefore a 10 common cause probability has increased the combined probability of failure by a factor of 100 15 Appendix 3 Why a Reactor Cannot Explode Like an Atomic Bomb This Appendix provides further technical detail on the difference between a nuclear weapon and a
10. It follows that the fundamental safety functions that must be carried out after an accident are e Control the fission reaction and shut down the reactor e Cool the fuel remove the decay heat e Contain any release of radioactive material e Monitor the state of the plant In summary control cool contain monitor is the essence of safety design 1 8 Risk Safety concerns are ultimately expressed in terms of risk The risk of a system which must be specified e g risk of a component failure of an activity of a nuclear reactor of the nuclear fuel cycle is customarily defined as Risk Se Rg 2 where f is the expected frequency of event i and c is its consequence the summation is over all events Like the risk of betting money this summation makes sense only for a large number of systems over a long period of time it does not apply to a single machine or a single bet for which the event outcome is binary e g for one bet you either win or lose In nuclear safety probabilistic risk analysis can be used to quantify the risk posed by a nuclear power plant more typically it calculates risk indicators such as severe core damage frequency or large off site release frequency Such indicators can identify potential plant improvements to reduce risk where practical Sample problem The frequency of a fully contained core damage accident in a certain 1000 MWe nuclear power plant is 10 per year If your insurance
11. The last three initiating events listed above behave like a small LOCA as far as the heat transport system is concerned The safety systems shutdown ECC and containment are triggered on small LOCA signals Flow blockage may not result in a channel failure for blockages up to about 95 of the channel flow area the fuel in the channel may fail and could be badly damaged but the pressure tube will not fail For more severe blockages the fuel will melt and the channel will fail Each type of single channel event has certain unique characteristics in addition to those of a small LOCA These characteristics are the focus of the safety analysis for these events e A break in an inlet feeder of exactly the right size to cause the flow to stagnate tempo Reactor Safety Design and Safety Analysis 126 The Essential CANDU rarily in a channel can result in channel overheating and failure e Any event which leads to channel failure will cause a discharge of the HTS into the mod erator Besides pressurizing the calandria the discharge can dilute any poison in the moderator used for reactivity suppression as discussed in Section 5 2 3 e The jet and pipe whip forces from an in core break can damage a limited number of shut off rod guide tubes as discussed in Section 5 2 7 e A severe flow blockage or feeder stagnation break can also cause discharge of molten fuel into the moderator e Anend fitting failure can cause discharge of the fuel in th
12. The requirement that two channels must both vote for a trip reduces the likelihood of spurious trips due to a single component failure On the other hand the reactor will still trip if required even if one channel is unavailable failed unsafe Finally a single channel can be tested without tripping the reactor Reactor Safety Design and Safety Analysis 86 The Essential CANDU The shut off rods are designed to be partially dropped individually in a test In other words shortly after the clutch has released and the rod begins to fall the clutch can be re energized and the rod caught before it enters the core This proves that the rod is not stuck in the first part of its travel Typically each rod is partially dropped about once a week For Shutdown System 2 Figure 36 shows one way of testing each logic channel and each valve without firing the system while any two channels which trip will fire the system Testing any single logic channel opens two valves but does not allow much poison to leak into the mod erator Performance testing is usually done by measuring the speed of actuation of one or ral p more components Therefore on a partial a ra rod drop one can determine how long it takes the rod to reach the point when it is caught or one can test the valve opening times on SDS2 Before a scheduled shut down a full actuation test of the shutdown system measures the rod drop versus time and the actual power rund
13. We borrow heavily from lecture notes by D Meneley J T Rogers and W Garland We focus on the large LOCA because it covers most of the disciplines used 7 1 Reactor Physics The fundamental equations in reactor physics have been presented in Chapters 3 to 5 The main aspects of physics used in safety analysis are reactor kinetics and diffusion theory For the kinetics of a point reactor dN t _k P P dt l P N DAC 32 where N t is the number of neutrons as a function of time t kis the multiplication factor for an infinite reactor p is the reactivity is the total delayed neutron fraction lp is the prompt neutron lifetime M is the number of delayed neutron groups chosen by the analyst typically 6 A is the decay constant of the ith delayed neutron group C is the number of neutrons of the ith delayed neutron group and for each delayed neutron group dC _ AN roa 33 dt 1 0 p where 6 is the delayed neutron fraction of each group i However a CANDU cannot be considered a point reactor in accidents Strong spatial effects result from flux tilts especially for a large LOCA if only half the core is voided insertion of shut off rods from the top of the reactor or other events Therefore in practice one must use three dimensional diffusion equations in conjunction with point kinetics The diffusion model tracks the neutrons as a flow through a medium subject to scattering absorption
14. depending on the break size and location The design must provide sufficient pres sure and water volume that flow of water out of the injection point at or near the break is accounted for e the feeder pipe to each channel is fairly small in diameter and contains a large amount of stored heat and the injection water may have to flow countercurrent to the steam exiting the channel as it refills Light water injection also ensures long term shutdown in CANDU but is not credited with this function in safety analysis ECC High Pressure Operation Q Valve Normally Open d Pressurizer Gas Tank Valve Normally Closed 1 5 Isolation Isolation FO Pump Valve S check Valve m Low Pressure cums Medium Pressure From mm High Pressure Dousing ea Heat H Exchanger Outlet Header Reactor Building Floor 5 RS Re BT WR SRD Figure 40 ECC layout 5 4 3 Injection pressure and flow rate The current design using CANDU 6 as a model is a three stage ECC Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 93 A high pressure initial injection phase limits fuel overheating for small breaks and forces early cooling for large breaks to limit pressure tube deformation and early fuel damage Typical injection pressure is 5 3 MPa In CANDU 6 high pressure injection comes from two water tanks which are pressurized by gas at the time of a LOCA signal In some multi unit CANDU plants t
15. 2013 Sanderson 2003 B Sanderson Fuel Channel Behaviour presented to U S Nuclear Regulatory Commission May 6 7 2003 USNRC accession ML031340404 Reactor Safety Design and Safety Analysis 166 The Essential CANDU Santamaura 1998 P A Santamaura J G Tielemans T H Nguyen H S Shapiro R E B Henderson and B A duQuesnay Severe Core Damage Frequency and Insights from CANDU 6 Level 1 Probabilistic Safety Assessment Pacific Basin Nuclear Conference PBNC98 Banff Alberta Canada May 1998 Semonov 1983 B A Semonov Nuclear Power in the Soviet Union IAEA Bulletin Vol 25 No 2 June 1983 Siddall 1981 E Siddall Risk Fear and Public Safety Atomic Energy of Canada Limited Report AECL 7404 April 1981 Simpson 1996 L A Simpson P M Mathew A P Muzumdar D B Sanderson and V G Snell Severe Accident Phenomena and Research for CANDU Reactors Proc 10th Pacific Ba sin Nuclear Conference October 20 21 1996 Kobe Japan Slovic 1987 P Slovic Perception of Risk Science Vol 236 No 4799 pp 280 285 April 1987 Smithsonian 2004 Smithsonian National Museum of American History Three Mile Island The Inside Story 2004 Snell 1978 V G Snell Evolution of CANDU Safety Philosophy Proceedings Canadian Nu clear Society Symposium on CANDU Reactor Safety Design November 1978 Snell 1988 V G Snell S Alikhan G Frescura J Q Howieson
16. Coolability of Severely Degraded CANDU Cores ICHMT International Seminar on Heat and Mass Transfer in Severe Reactor Accidents Cesme Turkey May 21 26 1995 Also Atomic En ergy of Canada Ltd Report AECL 11110 Rogers 2002 J T Rogers and M L Lamari Application of the CANDU Molten Core Model DEBRIS MLT to RASPLAV Test Results 22nd Nuclear Simulation Symposium Canadian Nuclear Society Ottawa November 2002 Rogers 2004 J T Rogers Options For Coal Fired Power Plants in Ontario monograph at Canadian Nuclear Society http www cns snc ca cns_media September 27 2004 Rogers 2004a J T Rogers CANDU Power Reactor Behavior Following Reactor Trip Presenta tion at Panel Discussion on Islanding Cogeneration Conference Ottawa October 26 2004 Rogovin 1980 M Rogovin and G T Frampton Three Mile Island A Report to the Commis sioners and to the Public Nuclear Regulatory Commission Special Inquiry Group January 1980 Roy 2004 R Roy et al Reactor Core Simulations in Canada PHYSOR 2004 The Physics of Fuel Cycles and Advanced Nuclear Systems Global Developments Chicago Illinois April 25 29 2004 American Nuclear Society Lagrange Park IL 2004 Rzentkowski 2013 G Rzentkowski Y Akl and S Yalaoui Application of Probabilistic Safety Goals to Regulation of Nuclear Power Plants in Canada 34th Annual Conference of the Canadian Nuclear Society Toronto June 9 12
17. Core collapse sae asvestessvesed casei ooeeent as Ss eee eS ase AS ee ee 131 Figure 62 Mechanistic model of channel Collapse ccssscccesssecececseneeecssseeeecesseeeeeeeseaeeeeeees 132 Figure 63 Debris heating transient cc ccccccccccsssssssssececececessesseaesececeescsessaeaeseeeesesssesssaeeeeeeeens 133 Figure 64 Heat flux on Calandria Wall cccccccccccssssssssececececessesseseseceeeescseseaeaeeeeeesesesessaaeeeeeeeens 133 Figure 65 Temperature distribution across a fuel pin oo eee ceeessscececeeecsessnseaeeeeeescessessaeseeeeeens 139 Figure 66 Node link structure sods cadcceueasvecsnernraieai ree teateatus omen nar elu oaienateema atest 142 Figure 67 Heat transfer to pressure tUDG cccccesssssssececeeecessesssaecececeesceeseasaeseeeesesssessaaseeeeeeens 143 Figure 68 Atmospheric dispersion csccccceceeecsessssesececeescsssesseaesececeesceeseaeaeseeeesenssesssaeseeeeeens 148 Figure 69 AND Sate innein EA EEEa EE E EAE S AEE sieved da vavelevas asedeccuakeset 171 Figure 7O OR Zate aaae iaa aaa a R A sd a ak ERa EN EE AE a A R E A R aes 171 Figure 71 NOT Sate eranan si iaaa aaa laaa aa A aa A E ataa r E aaa a iia Eaa AEAEE 171 Figure 72 Probability of both of two events cccesessceceeecsssesseaeceeeeeescsesssaeaeseeeesenssnsssaeeeeeeeess 175 Figure 73 Probability of either Of two events cccccsccccccecessesssecececeescsessaeaeseeeesceesessaaeeeeeeeess 176 Reactor Safety Design and
18. Describe how you derived these lessons learned Do not just copy official lessons learned Comment on the robustness of the facility design and operation and indicate whether design or operating changes should have been considered and why Reactor Safety Design and Safety Analysis 54 The Essential CANDU 4 Safety Goals and Risk Assessment In this section we expand on the concept of risk introduced in Section 1 8 We start off by defining numerical safety goals which are a means of quantifying risk and then present some probabilistic safety assessment tools that can be used to calculate whether or not the plant meets the safety goals 4 1 Safety Goals A safety goal partially answers the question how safe is safe enough In this sub section we will develop a worked example of how a safety goal might be derived and then compare it to safety goals adopted by other organizations We shall also point out some of the pitfalls of using a safety goal as the only safety criterion The intent of this section is that the reader should be able to understand how safety goals are derived what their limitations are and how they are used in design To enable meaningful decisions a safety goal should be expressed in quantitative terms A safety goal such as Make the reactor as safe as possible will mean different things to different people and provides no guidance to the designer or operator A goal such as The reactor must never ha
19. Event SDS1 SDS2 ECC Containment P3 Small ae 1 P3 Damage LOCA i Large Release gt Core Damage Large Release P2 1 P2 Core Damage P4 Large Release PO ONO HOI Figure 29 Simple event tree 4 2 3 6 Dormant vs active systems So far we have focused on systems that are normally dormant and are required to operate on demand Safety systems generally fall into this category However some systems like the Emergency Core Cooling System ECCS are required to activate on demand and to continue to function for some defined mission time The normal response of the ECCS to a heat transport system HTS break loss of coolant accident or LOCA is for the ECCS to detect the event and initiate the injection of high pressure HP cooling water strictly speaking the water injection Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 73 function of ECC is called ECI or Emergency Coolant Injection because ECC also has other functions such as steam generator cooldown and loop isolation Then after the HTS has been depressurized medium pressure and finally low pressure water is injected The HP water is supplied for example from a water tank accumulator pressurized by huge gas cylinders Medium pressure cooling water can be supplied from a water tank by ECC pumps and low pressure water is retrieved from the sumps in the reactor
20. FUEL RODS HEAVY WATER MODERATOR HEAVY WATER DUMP TANKS HEAVY WATER PUMP DUMP VALVES FILLING VALVES DRAIN VALVES THESE VALVES CONTROL THE HEAVY WATER LEVEL IN THE CALANDRIA Figure 9 ZED 2 cutaway AECL 2011 Reactor Safety Design and Safety Analysis 30 The Essential CANDU Figure 10 ZED 2 top view Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 31 3 Experience Current power reactor safety design has been powerfully influenced by accidents that hap pened during the development of the technology In this Section we describe a few of them space constraints do not permit an exhaustive study Real accidents almost never follow the simple assumptions in design basis safety analysis Most real accidents tend to be very complex have more than one contributing factor have a high component of human error and extraordinary human recovery and often leave one wondering How did all these things happen together The answer is of course that if they didn t happen together there would be no accident It isa poorly designed nuclear power plant where a single failure or error causes a catastrophic accident Most accidents are the end point of a chain of events prevention of any one of which would have stopped the accident from happening We will discuss this later in Section 5 1 Defence in depth Unidentified failure modes entified failure modes 1e jad sainjr
21. If 3 was not pressed with 4 air might leak from the head system if 3 was not pressed with 1 and 2 the shut off rods might not be drawn fully home and the safety circuits would prevent start up from proceeding The void reactivity was positive and large that is removal of all the light water coolant would result in an increase in reactivity of 25 mk 3 1 2 2 The event At the time of the accident the reactivity of certain fuel rods was being measured at low power The cooling to these rods was reduced and one was being cooled only by air The following sequence of events is taken from Cross 1980 The accident occurred during a start up procedure Just as the first group of shut off rods was about to be removed an operator in the basement of the building who had nothing to do with the start up mistakenly turned some air valves which caused several shut off rods to rise This was immediately shown by the indicator lights in the control room The reactor supervisor phoned the operator to stop and went down to the base ment himself to make sure that the valves were properly reset When this was done the rods should have gone down into the reactor In fact they went down only partway but far enough that the lights in the control room indicated that they were down This failure to reinsert is not explained in any of the published reports Cross continues The supervisor in the basement phoned the control room and told his
22. Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 175 occurred Figure 72 shows this graphically yellow represents all events green those events with outcome Ai blue with outcome Aj red with outcome both A and Ap PIAT amp 2 PIAt A2 PIAZ Figure 72 Probability of both of two events If the events are independent P A2 Ai P A2 62 In general P AA Ay P A P A A P Ay A Ay_1 63 If events are independent P A A Ay P A P A P Ay 64 13 4 2 Probability of either event occurring The union of two events A and Aj is denoted as Ai U A or Ay A or Ai OR Ad This means the cases where either event occurs including cases where both events occur Note that P A Az P A1 P A2 P AiAz 65 Reactor Safety Design and Safety Analysis 176 The Essential CANDU Total area PiA1 P A2 PiAl AA Figure 73 Probability of either of two events as shown in Figure 73 Note that the sign on the left of this equation is not the same as the sign on the right the former refers to the union of two sets the latter to arithmetic addition The reason for subtracting P A A2 is that what you want is the total area encompassed by the combination of the blue and green ovals in the diagram If you simply add P A and P A2 you count the intersection where both events occur in red twice Therefore you have to subtract one of them away
23. Staff Reports to the President s Commission on the Accident at Three Mile Island Reports of the Technical Assessment Task Force Volume Il 1979 Japan 2011 Government of Japan Nuclear Emergency Response Headquarters Report of the Japanese Government to the IAEA Ministerial Conference on Nuclear Safety The Acci dent at TEPCO s Fukushima Nuclear Power Stations June 2011 JNTI 2011 Japan Nuclear Technology Institute Examination Committee on Accident at Fuku shima Daiichi Nuclear Power Station Examination of Accident at Tokyo Electric Power Co Inc s Fukushima Daiichi Nuclear Power Station and Proposal for Countermeasures October 2011 there are many more similar reports from IAEA and others Kaplan 1979 S Kaplan and B J Garrick On the Use of Bayesian Reasoning in Safety and Reliability Three Examples Nuclear Technology Vol 44 231 1979 Kemeny 1979 J G Kemeny Report of the President s Commission on the Accident at TMI 1979 Krause 2007 M Krause Hydrogen Program at AECL 2 European Review Meeting on Severe Accident Research ERMSAR 2007 Forschungszentrum Karlsruhe GmbH FZK Germany June 12 14 2007 LANL 2000 Los Alamos National Laboratory A Review of Criticality Accidents report LA 13638 2000 See page 74 Larson 1961 E A G Larson A General Description of the NRX Reactor Atomic Energy of Canada Report AECL 1377 1961 Lewis 1953 W B Lewis The Accident t
24. containing electrically heated coolant at high pressure and high temperature inside a calandria tube but still nominally zero nuclear power control through moderator level pump up and drain pump up speed limited by pump capacity manual start up and shutdown three redundant dump valves which open to trigger a heavy water dump on high neutron power or high log rate no emergency core cooling system and no containment A cover provides shielding of operators when the reactor is critical a Develop a set of design basis accidents for this reactor It is important to show how you did this not whether you get the same answer as the designer did there is not really enough information given in the exercise to get the right answer it s your thinking process that counts Start from a long list developed using at least two of the techniques discussed in this Chapter and then suggest which accidents you would consider too rare to design against and why Provide details e g it is not enough to say increase in power list all the ways that this could occur b If you wanted to reduce the risk from this reactor based on your list of design basis acci dents and a judgment about probability what design changes would you make first Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 29 ALUMINIUM TANK CALANDRIA SHIELDING CONTROL ROOM TOP SHIELD DOORS MOVEABLE BEAM EXPERIMENTAL
25. often denoted by the numbers 1 and O respectively So for example A 0 means that the statement A is false For example let A represent the statement the sun is the centre of the universe Then A 0 13 1 Operators Several operators can act on these statements AND is an operator which gives the answer C 1 only if both of its inputs are 1 and O otherwise It should be represented as A B or AB or A B or AX B or A AND B or graphically as in Figure 69 C It can be thought of as the intersection of sets A and B Examples fno If A is true and B is true then AM B should be true If A 1 and B 0 then A B 0 AB OR is an operator which gives the answer C 1 only if either or both of its inputs Figure 69 AND gate are 1 and 0 otherwise It is represented as A B or AUB or A OR B or graphically as in Figure 70 c It can be thought of as the union of sets A and B Examples If A is true and B is false then A U B is true If A 1 and B 0 then A B 1 A B NOT is an operator which inverts the input Figure 70 OR gate It is represented as NOT The output of NOT A is denoted as A or A It is represented graphically as in Figure 71 A NO A It can be thought of as the opposite of or the complement of set A Examples Figure 71 NOT gate If A is true then NOT A is false Reactor Safety Design and Safety Analysis 172 The Essential CANDU There are also four lesser used operators NAND
26. 110 The Essential CANDU Figure 50 Large scale containment facility Figure 51 Large scale vented combustion facility Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 111 Figure 52 Containment test facility 6 5 Selection of Initial Conditions A number of key parameters are chosen in a conservative direction for licensing analysis These include fundamental core property parameters initial plant conditions system perform ance measures and assumptions on the unavailability of portions of mitigating systems There is no magic formula for doing this too much conservatism may require unnecessary design changes or severely limit operation too little may not cover uncertainties in the models used or the station parameters This dilemma is largely resolved by a BEAU approach discussed later in which all parameters are set at their best estimate values and the uncertainties are combined and propagated through the calculation Table 11 gives a sample list of parameters and assumptions and how they might be chosen conservatively Note that what is conservative in one application e g minimizing the num ber of containment coolers credited in calculating peak containment pressure may be non conservative in another calculating high containment pressure trip effectiveness Note also that whatever safety analysis assumptions are made become limits to operation Reactor Safety Design an
27. 5 Look up e g from the USNRC web site the design of either the EPR or AP1000 decay heat removal systems Summarize them and discuss advantages and disadvantages compared Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 99 to the CANDU decay heat removal systems choose one CANDU plant for your comparison If you do not have access to CANDU information simply compare EPR and AP1000 decay heat removal systems 6 What are the options for heat removal from containment after a severe accident core damage What are the pros and cons of each of these options Feel free to look up what choices have been made by modern designs Reactor Safety Design and Safety Analysis 100 The Essential CANDU 6 Safety Analysis Accident Phenomenology This Section provides a high level discussion of accident phenomena in CANDUs and how the results are judged The technical capabilities that computer codes used in CANDU safety analysis should possess are then described Severe accident phenomena and analysis are summarized followed by a discussion on uncertainty analysis 6 1 Accidents by Phenomena In Section 1 4 we described the hazards posed by a nuclear power plant and the broad classes of events that could cause a release of radioactive material In Section 2 we discussed how design basis accidents are identified and selected Based on these concepts we can describe accidents by major phenomena as follows
28. Design and Safety Analysis Reactor Safety Design and Safety Analysis 91 Table 10 Operating pressure of decay heat removal systems Operating Advantages Disadvantages Pressure High Can be brought in at any stage of an More stringent requirements on code accident class of piping and components Components tend to be smaller due Need to ensure that it is tolerant if to more efficient heat removal brought on line when system is at low larger AT pressure e g risk of pump cavitation More easily automated Low Can be simpler and cheaper Requires previous depressurization of Can be made more passive the system i e depends on another system 5 3 5 Reliability Unlike the case of shutdown systems the mission time of decay heat removal systems can extend to days or months and therefore we need to determine both the demand availability reliability to start and the running reliability once the system has started A typical active decay heat removal system consists of pumps which require electrical power and heat ex changers which require a source of cooling water which in turn requires electrical power Unavailabilities in the range of 107 to 10 to start and 10 to 10 over a specified mission time are typical Therefore redundancy in decay heat removal systems is necessary 5 4 Emergency Core Cooling System The functions of the ECCS are to refill the core and to remove decay heat after a LOCA We now discuss high level de
29. Nuclear Reactor for Building Heating and Cooling at Carleton University Study for AECL November 1985 Currie 1986 T C Currie and J T Rogers Heat Transfer between Rough Surfaces in Contact over a Highly Elliptical Contour Area Comparison of Experimental and Numerical Re sults Proceedings of Eighth International Heat Transfer Conference San Francisco Au gust 1986 Cuttler 2009 J M Cuttler and M Pollycove Nuclear Energy and Health The Benefits of Low Dose Radiation Hormesis Dose Response Vol 7 No 1 pp 52 89 2009 EPA 1993 K F Eckerman and J C Ryman Federal Guidance Report No 12 External Exposure to Radionuclides in Air Water and Soil Environmental Protection Agency report EPA 402 R 93 081 September 1993 Glasstone 1994 S Glasstone and A Sesonske Nuclear Reactor Engineering 4 Edition Chapman amp Hall 1994 Gonzales 2013 A J Gonzalez et al Radiological Protection Issues Arising During and After the Fukushima Nuclear Reactor Accident J Radiol Prot Vol 33 pp 497 571 2013 Grandjean 2008 C Grandjean and G Hache A State of the Art Review of Past Programmes Devoted to Fuel Behaviour Under Loss of Coolant Conditions Part 3 Cladding Oxidation Resistance to Quench and Post Quench Loads Institut de Radioprotection et de S ret Nucl aire IRSN report DPAM SEMCA 2008 093 2008 Hanna 1998 B N Hanna CATHENA A Thermal Hydraulic Code for CA
30. OF fw boun O mugire ouine AX PRESSURE TUBE FALED TEST NUMBERS CORRESPOND TO TABLE V7 SUBOOOUING OF WATER POOL C PRESSURE TURE CONTACT TEMPERATURE C Figure 49 Heat transfer regimes on outside of calandria tube 6 4 6 Containment thermo hydraulics Three large scale facilities have been used to validate containment codes particularly hydrogen behaviour combustion and detonation characteristics and limits Krause 2007 The Large Scale Containment Facility at Chalk River Laboratories has a room height of 10 metres with a total volume of 1 575 m It is used for studying hydrogen mixing behavior at high temperature and high humidity using helium as a hydrogen simulant It is also used to study the behaviour of wet aerosols Figure 50 The Large Scale Vented Combustion Facility at Whiteshell Figure 51 is a rectangular enclosure with an internal volume of 120 m used for studying hydrogen burning in air steam mixtures at various temperatures The combustion chamber can be subdivided into two or three compart ments with vent openings of various sizes between the compartments and the outside The Containment Test Facility at Whiteshell has also been used to investigate combustion phenomena in single and interconnected vessels including detonation and the transition to detonation It consists of a 6 m sphere and a 10 m cylinder which can be connected by ducts Figure 52 Reactor Safety Design and Safety Analysis
31. Reactor Safety Division Forschungsbericht 2004 McCormick 1981 N J McCormick Reliability and Risk Analysis Academic Press 1981 ISBN 0 12 482360 2 Meneley 2003 D A Meneley Nuclear Safety and Reliability Lecture notes for a course at the University of New Brunswick available at the CANTEACH repository https canteach candu org Pages Welcome aspx 2003 Meneley 2009 D A Meneley and A Muzumdar Power Reactor Safety Comparison A Limited Review Proceedings CNS 30th Annual Conference Calgary AB May 31 June 3 2009 Morison 1987 W G Morison et al Containment Systems Capability Nuclear Journal of Canada Vol 1 No 1 pp 53 68 1987 from CANTEACH Muzumdar 2009 A J Muzumdar and D A Meneley Large LOCA Margins in CANDU Reactors An Overview of the COG Report Proceedings CNS 30th Annual Conference Calgary AB May 31 June 3 2009 NISA 2011 Nuclear and Industrial Safety Agency NISA and Japan Nuclear Energy Safety Organization JNES The 2011 Pacific Earthquake off the Pacific Coast of Tohoku and the Seismic Damage to the NPPs April 4 2011 OMSC 1981 Ontario Ministry of the Solicitor General The Mississauga Evacuation Final Report November 1981 Ott 1981 K O Ott and J F Marchaterre Statistical Evaluation of Design Error Related Nu clear Reactor Accidents Nuclear Technology Vol 52 No 2 179 188 1981 Page 1972 R D Page
32. Safety Analysis Reactor Safety Design and Safety Analysis 5 List of Tables Table 1 Single dual failure limits idessasescev dds eleset sadeddataedeace tannin dasha sede scdatdatdadeasceslgdcdas ccveattabedaddtas 23 Table 2 Consultative document C 6 limits 2ticsiet uc etontcieyiedin einer lads aatateldaneeadseecntadaeies 24 Table 3 Dose limits asioina Eo aE A EE EA EEEE EEE E E S 24 Tables Slelehronolo gyr aa i a evades EA EE Hint dbs keen beans 35 Table 5 Bayes theorem example niecne iaai a aa a a aa aa aa e aa 62 Table 6 Reliability terms and relationships ccccesssccececeesesesseseeeceeeesssessaeeeceeeessessessaeeeeeeeens 65 Table 7 Lev ls of detencein de pthiiicessacccecczcscsy toesiesscen a A S RS 77 Table 8 Typical trip signals for CANDU ccccccccsssssssecececeeecseseseeseeeceeseessesssaeseseesesseesesssaeseeeeeees 83 Table 9 Grouping and separation example ccceessssscececececseseeeseeeceeecessessaeeeceesesseesessaeeeeeeeens 85 Table 10 Operating pressure of decay heat removal systems c cccccccccesssssssceceeeescesssssaeseeeeeens 91 Table 11 Some conservative assumptions and PArAMEtelS cccccccccccescssssssseceeeessessesssteeeeeeeens 112 Table 12 Reactivity effects in PWR and CANDU c cccccccccssssssssececeeececsessssseeeeeeseessssseaeeeeeeeens 123 Table 13 Examples of reactivity response to accidents for PWR and CANDU c ccccceeeees 124 Table 14 Typical core inventory of v
33. Section showing location of the fuel ceramic or free between the fuel and the sheath fission products These exist in the ratio of about 9 1 for the highest powered fuel element in a CANDU reactor as shown in lonescu 2009 Therefore accidents which cause perforation of the fuel sheath but which do not damage the UO gt have the potential to release only somewhat less than 10 of the gaseous fission prod ucts Sheaths can be damaged mechanically in fuel handling accidents or by overheating if the sheath overheats from its normal temperature of 300 C to about 600 C 800 C it will plastically deform because of the pressure of the fission product gases it contains and eventu ally rupture To drive out the remaining gaseous fission products and the solid fission products such as cesium and strontium the fuel temperature has to be raised to close to the melting point 2840 C or the fuel itself must be heavily oxidized by direct exposure to air or steam Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 15 Therefore accidents which release significant amounts of radioactive material are initiated by e overheating the fuel in the core due to a mismatch between power and cooling e leaks or pipe breaks in the coolant or moderator e mechanical damage to the fuel e overheating of the spent fuel in storage due to a power cooling mismatch All accident analyses reduce to these categories of failures
34. Transport System see also RCS International Atomic Energy Agency International Nuclear Event Scale Institute of Nuclear Power Operations International Nuclear Safety Advisory Group Large Loss of Coolant Accident Loss of Coolant Accident Low Pressure ECC Light Water Reactor Main Control Room Medium Pressure ECC Main Steam Safety Valve Reactor Safety Design and Safety Analysis 170 MWe OPG PRV PSA PWR R amp D RBMK RCS ROP S C SCA SCDF SDS SG SOE SOR Sv TMI USNRC The Essential CANDU Megawatt electric Ontario Power Generation Pressure Relief Valve Probabilistic Safety Analysis Pressurized Water Reactor Research and Development Peaktop Bonbwo MouwHoctu KaHanbHbi High Power Channel Type Reactor Reactor Coolant System see also HTS Regional Overpower Protection System Suppression Chamber Secondary Control Area Severe Core damage Frequency Shutdown System Steam Generator Safe Operating Envelope Shut Off Rod Sievert a unit of radiation dose Three Mile Island United States Nuclear Regulatory Commission Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 171 13 Appendix 1 Basic Rules of Boolean Algebra This is a quick refresher in the basics of Boolean logic Boolean algebra is a set of laws formulated by the British mathematician George Boole It deals with statements here represented by A B C etc which can be either true or false and are
35. a a a a a a 77 Reactor Safety Design and Safety Analysis 8 9 10 11 12 13 The Essential CANDU 5 37 He atRemoval Systeri S escridan n a avin a a a e daia 86 5 4 Emergency Core Cooling SYStem cccccccccccccssssssssceeeceeecsssesseaeeeseesescsessasaeeeesesseeseessaeess 91 5 9 CONLAINIMENE rea a aR waives ciehh es Abas E acide T ERa O zeta Atte 94 5 6 MONILOMING snini ua na dee tead toasts tteceweagedad cates i a ae a a a A a aaa 98 5 7 Probl MS nirera ne a n a a a a a a a a a ectldeeed 98 Safety Analysis Accident Phenomenology sssessesssssssseseessssssesertesessssesererersssseserereesessns 100 6 1 Accidents by PhenomenAa esssssssesseeesrssssesererrrsssseseerrrsssssseerreesessssesrrernesssseserereesessno 100 6 2 gt Margin S anaandaa aa aaa aara o alaaa reed ana aa AA ioa Eaa aAA AAEREN CO PaRaS 101 6 3 Major Computer Analysis Tools Required for DBAS sssssssssssssssssssssssserresseeeeerssressssreee 103 6 4 Code Validation and R amp D oeer inin orsi reri a EE E AEAEE A E E EAE Ee 105 6 5 Selection of Initial Conditions jesAeacstrcctharetiendccatadtess edeatecauh cue A aaicwcthebea cataatet Sebo 111 6 6 Accident Walk Through Large LOCA cceceesesssceceeeeecsesssseseeeeeeseessesssaeaeeeeeesessseeeaeees 115 6 7 Accident Walk Through Small LOCA 00 0 0 ccccecsssscececeeecsesssseaeeeeeeeesssessaeeeeeeeeseneseeseaeees 124 6 8 Accident Walk Through Single Channel EVent ccccccessss
36. a function of exposure time to an ambient radiation level Internal dose is a function of radiation uptake and residence time in the body 131 For example the dose from I can be delivered through the following route e released from containment e deposits on grass e eaten by cows e excreted in milk e drunk by people 131 can deposit on plants which are eaten directly by people The external direct 131 can also be significant Alternatively dose from atmospheric release of Detailed tables have been prepared for each radioisotope which make it possible to convert from external concentration inhalation and ingestion to dose See ICRP 2010 for the most recent tables However these are given by type of radiation rather than by radionuclide for an older report that does give the conversion factors by radionuclide see EPA 1993 Sample Problem Consider a major release of radioactive Ar causing an air concentration y of 10 Bq m A person is immersed in this cloud for an hour What is his external dose Answer From EPA 1993 Table Ill 1 we see that the effective dose coefficient hp for air immersion in Ar is 6 5x10 Sv Bg s m Hence the dose D for an immersion of t seconds is D h xt 6 5x10 Sv Bq s m x 10 Bq m x 3600sec 0 23Sv 58 Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 149 Note that this assumes a continuous release becau
37. and leakage The continuity equation for uniform systems with a single neutron velocity v becomes the neutron diffusion equation 1 DV L p ts 4 34 v t where D is the diffusion coefficient Reactor Safety Design and Safety Analysis 136 The Essential CANDU a is the absorption cross section vis the neutron velocity f r t is the neutron flux s r t is the source distribution function i e the number of neutrons emitted per unit volume per unit time by sources at point rand time t This is very similar to the diffusion of heat through a medium with the addition of a source term due to fission Transient neutron diffusion plus kinetics is the basis of many of the physics codes used in accident analysis These equations are solved using spatial finite difference methods with the reactor core broken up into many nodes in each of which the diffusion equation is applied at each time step For a LOCA for example time dependent cross sections representing coolant voiding transient fuel temperature transient reactor control system action and shut off rod movement are the driving functions for the transient in the flux The average power transient for the reactor is extracted from the calculation along with peaking factors for the hot channel hot bundle and hot element in the loop being analyzed The system reactivity as a function of importance weighted void fraction is also calculated These data are used as
38. and the reactor is depressurized and cold i e 100 C or less Therefore in addition to removing the decay heat from the fuel as it is generated there must be some additional heat removal capability to cool the reactor down Reactor Safety Design and Safety Analysis 88 The Essential CANDU 5 3 2 Location of heat removal Heat can be removed from the secondary cooling system and from the primary cooling system 5 3 2 1 1 00E 06 1 00E 05 1 00E 04 1 00E 03 1 00E 02 1 00E 01 1 00E 00 1 00E 01 1E01 41E 01 1 03 1 05 1E 07 1 09 Time after shutdown sec Figure 37 Bundle power after shutdown Secondary side heat removal The secondary cooling system is used under the following conditions If all components and systems on the secondary side are working the main feed water pumps provide water to the steam generators The condenser removes heat from the steam and provides a continuous source of cooled water to the feed water pumps This relies on the availability of Class IV electrical power to run the main feed water pumps Alternatively the task can be undertaken by one or more auxiliary feed water pumps sized to remove decay heat These feed water pumps are typically powered by Class III electrical power or directly by a diesel engine or by a steam turbine connected to the steam generators It is not necessary to size them for 6 power because they are not needed until some of the water already in t
39. attempted to recover power but because of xenon decay had to raise the control rods so that most of them were out of the core In the end the reactor never reached the planned initial power level Key 1 graphite reactor core 2 fuel channel 3 in core instrumentation tube 4 feedwater pipe 5 steam separator drum 6 downcomer 7 intake header 8 main circulating pump 9 bypass 10 high pressure header 11 stop valve 12 distribution group header 13 steam header 14 steam dump valve 15 accident localization system 16 ECCS water reserve tank 17 pressure controller 18 turbogenerator 19 condenser 20 moisture separator reheater 21 condensate pump 22 preheater 23 deaerator 24 emergency electric feedwater pump 25 electric feedwater pump 26 mixing preheater 27 condensate collecting tank 28 moisture separator reheater condensate pump 29 level controller 30 ECCS hydraulic accumulator 31 ECCS pump 32 ECCS header 33 ECCS fast acting valve 34 leak limiter Figure 15 RBMK schematic diagram Reactor Safety Design and Safety Analysis 42 The Essential CANDU In the immediate aftermath of the accident the Soviets USSR 1986 placed much blame on the operators for not following test procedures and performing the test in an unauthorized reactor configuration The initial cause of the power rise was stated to be the increase in void reactivity as coolant boiling increased following pump trip It was implied
40. because of the complex geometry 7 7 Containment As far as fundamental equations are concerned containment behaviour is governed by the same physical phenomena as the heat transport system with a few complications e the containment volume is compartmentalized and the flow within the larger com partments is three dimensional e anumber of different fluids coexist air the normal contents of containment steam and water from a pipe break and hydrogen if the sheaths are heavily oxidized e heat is added by steam and hot water and also by radioactive decay of any fission products carried into the containment atmosphere by the discharging fluid heat is removed by water sprays condensation on containment and equipment surfaces containment air coolers and indirectly by ECC in recovery mode e pressure can also be influenced by use of the vacuum building in multi unit plants leakage from containment through cracks and deliberate venting through filters Containment codes usually have sub models for each of these phenomena Many containment codes also track the movement of fission products along with other fluids Fission products can exist as e noble gases which interact very little with water or surfaces e tritium oxide specifically the mixed oxide DTO from the coolant or moderator e iodine cesium strontium etc which interact strongly with water dissolve and ion ize and tend to plate out on surfaces Reactor Safet
41. building basement cooled and pumped back into the HTS For CANDU reactors an ECC mission time of one to three months has been set The ECCS is consequently divided into two separate fault trees for the purposes of analysis dormant ECC and long term ECC designated DECC and LTECC respectively The DECC fault tree focuses on failure to detect the LOCA event failure to initiate high pressure HP cooling water failure to distribute the flow and failure to provide medium and low pressure water The LTECC fault tree focuses on failure to provide long term low pressure cooling due to pump failure valve failure flow blockage loss of electrical power or loss of coolant supply 4 2 4 Typical results We have now summarized fault trees and event trees A PSA is the integrated collection of these across an entire plant There are three recognized levels of PSA which can be defined as follows see e g IAEA 2010 Level 1 identifies the sequences of events that can lead to core damage and calculates the core damage frequency Level 2 uses the information from Level 1 to calculate the magnitude and frequency of re leases to the environment of radioactive material Level 3 uses the information from Level 2 to calculate health effects and other consequences such as contamination of food and land In practice Level 1 is used to assess the design and operation of the plant Level 2 is used to assess the effectiveness of contai
42. bundle and pressure tube into smaller pieces calculate the view factor how much of the pressure tube or neighbouring fuel element each piece can see for each piece and calculate the radiation heat transfer piece by piece Heat can also be transferred from the calandria tube to the moderator which is significant after pressure tube contact see below The heat transfer characteristics follow a pool boiling curve Limited patches of film boiling can be tolerated for short periods after contact lengthy or extensive dryout will lead to calandria tube and pressure tube failure 7 5 2 Strain The pressure tube can be heated by conductive convective and radiative heat transfer from the coolant and the hot fuel If the pressure tube heats up beyond 800 C or so it will start to deform plastically If the channel pressure is high gt 6MPa the strain highly localized or both the pressure tube may burst if not it will either strain radially or sag under gravity to contact the calandria tube and transfer heat to the moderator water The equations for pressure tube strain are not surprisingly similar to those for sheath strain 7 5 3 Hydrogen At high temperatures Zircaloy oxidizes in steam to produce heat and hydrogen Zr 2H O ZrO 2H heat 50 This is a quadruple threat e hydrogen collects in containment significant amounts of hydrogen can be produced quickly only by a LOCA with ECC failure or in a severe core d
43. burnup In other words the reactivity worth of control devices is small the total worth for all devices together is 32 mk and each device is typically worth less than a mk see Chapters 4 and 5 Reactivity addition from control devices is inherently slow because they are not subject to pressure assisted ejection In PWRs fueling is done in batch mode about every 18 months and the excess initial reactivity after fueling is suppressed by a combination of poison in the coolant and fuel and insertion of control rods As a result control rods may have high individ ual reactivity worth A typical PWR has a total worth of all control rods of about 110 mk and the maximum worth of a single rod using the Westinghouse Advanced Passive 1000 AP 1000 PWR as an example can be of the order of 7 5 mk under the most pessimistic conditions hot zero power in a core just about to be refueled Westinghouse 2011 This is larger than the delayed neutron fraction and therefore rod ejection assisted by coolant pressure can result in prompt criticality This means that whereas in normal operation control rods add reactivity Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 121 slowly in an LWR accident reactivity can be added very quickly Fast reactivity changes are of interest in accidents These are induced by fast changes in pa rameters such as a coolant and moderator volume temperature or density b fuel te
44. by the calandria shell with melting possibly beginning in the interior of the bed about two hours after the start of bed upper crust shield tank water shield tank water lower crust a Debris bed b Molten pool and crusts gt Natural convection or nucleate boiling to shield tank water M Radiation gt Natural convection Figure 62 Mechanistic model of channel collapse heating The upper and lower surfaces of the debris remain well below the melting point Figure 63 and heat fluxes to the shield tank or reactor vault water are well below the critical heat flux of 200W cm under existing conditions Figure 64 The calandria vessel is protected by a solid crust of material on the inside and by water on the outside and therefore it can prevent the debris from escaping Should the shield tank or reactor vault water not be cooled or replenished it will boil off and the calandria vessel will eventually fail by melt through but this will not occur in less than about a day Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 133 Heat Flux W cm2 3000 2500 D 2000 w 5 f 1500 v E 1000 K 500 0 300 320 340 360 380 400 420 Time min Figure 63 Debris heating transient 16 A g bot 12 s 10 8 6 4 2 0 300 320 340 360 380 400 420 Time min Figure 64 Heat flux on calandria wall In short compared to a core melt in an LWR a severe core damage accident in CANDU is
45. codes the equation of state is used in the form of massive detailed tables of water and steam properties or is fitted by correlations 7 5 Fuel Channels When we look at the behaviour of fuel channels in accidents we emphasize three basic disci plines heat transfer stress strain behaviour and hydrogen chemistry 7 5 1 Heat transfer Heat can be transferred from the fluid to the pressure tube by conduction and convection and from the fuel to the pressure tube by conduction if the fuel sags into contact with the pressure tube Figure 67 Convection Radiation Conduction Figure 67 Heat transfer to pressure tube At high temperatures the fuel can transfer heat to the pressure tube by radiation as character ized by the Stefan Boltzmann law E 0 T Tpr 49 where is emissivity T is temperature in degrees Kelvin g is the Stefan Boltzmann constant 1 36 x 10 kilo calories per metre second K f refers to fuel and PT to pressure tube A similar equation would apply to radiation from the pressure tube and from the steam itself although these quantities tend to be small In practice radiation becomes important at sheath temperatures of approximately 800 C or more and is approximately equal to the decay power in the fuel around 1200 C 1400 C In practice the hard part is working out the geometry computer codes break the complex fuel Reactor Safety Design and Safety Analysis 144 The Essential CANDU
46. for example one could recognize that the failure of the signal affects all components and therefore could be in an OR gate just under the top event It is always safer however to follow the principle of immediate cause Having drawn the fault tree we now assign labels to each basic event V1 V2 V3 S P1 P2 as shown in Figure 28 We can also assign intermediate labels A B C to help in the calculations Now we can write out the Boolean algebra starting from the bottom It is important NOT to assign numerical values immediately to the basic events and work out the final answer before doing the Boolean algebra In many cases this will lead to double counting because terms such as S S will be counted twice Remember that in Boolean logic S S S not 2S and SeS S not s Insufficient flow to reactor No flow through valve V3 I i fe OS V3 No flow Closed A to v3 B No flow No flow ce ce C through V1 through V2 D y pees __ P1 v1 V2 P2 stopped Closed Closed stopped aS l N Va l N p N failed failed S P1 S v1 S V2 S P2 Figure 28 Sample fault tree with labels Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 71 Let us calculate the chain up to point C first C S P1 S V1 Similarly D S P2 S V2 B CeD S P1 S V1 S P1 S V1
47. grouped by primary or direct cause 1 Reactivity accidents e Bulk loss of reactivity control e Loss of reactivity control from distorted flux shapes 2 Decrease of reactor coolant flow e Loss of Class IV power e Partial loss of Class IV power e Single pump trip or single pump seizure 3 Increase of reactor coolant pressure e Loss of primary pressure and inventory control increase 4 Decrease of reactor coolant inventory e Large heat transport system LOCA e Small heat transport system LOCA Single channel events Single steam generator tube rupture Multiple steam generator tube rupture e Loss of primary pressure and inventory control decrease 5 Increase of secondary side pressure e Loss of secondary side pressure control increase 6 Loss of secondary side heat removal e Main steam line break e Feed water line break e Loss of feed water pumps e Spurious closure of feed water valves e Loss of secondary side pressure control decrease e Loss of shutdown heat sink 7 Moderator and shield cooling system failures e Pipe break e Loss of forced circulation e Loss of heat removal 8 Fuel handling accidents Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 101 e Fueling machine on reactor e Fueling machine off reactor e Accidents in the irradiated fuel bay e Loss of heat removal e Loss of water Severe core damage accidents involving an initiating event and failure of at least two mitigati
48. have to be identified and summed This might be challenging in the early phases of a design e Safety goals are meaningful only for events for which frequencies and consequences are reasonably calculable In practice this includes most internal events for which actual data exist for which the failure combinations can be calculated or for which a reason able extrapolation from the historical record can be made However if the design has innovative features with little operating experience it may be difficult to support the reliability values and hard to spot the cross links Passive safety systems pose a par ticular challenge in this regard because they can be difficult to test and therefore it is hard to build up a reliability database e Not all rare events can be assigned a frequency and consequence with confidence for example o massive structural failure o massive failure of pressure vessels o very low frequency high consequence external events such as earthquakes be yond historical record keeping o sabotage terrorism and war The approach to the first two is usually to design to accepted engineering codes and standards Then one can infer from experience the likelihood of sudden failure of structures and compo nents so designed Massive failure of a LWR pressure vessel would be a catastrophic event because it would lead to an immediate release of fission products and probably would damage containment at the same tim
49. is slower than heating of the core but if not addressed will eventually lead to uncovering of the fuel and fuel damage In Fukushima the spent fuel bays are located high in the reactor building to facilitate transfer of fuel assemblies from the core Spent fuel cooling was made more difficult by the elevation and inaccessibility of the spent fuel bays and concerns were voiced about their structural integrity following the earthquake In the early phases after the accident water was added manually to the bays initially from helicopters and later from cranes stable cooling has since been restored to all pools Inspec tion of the bays shows debris from the damaged reactor buildings TEPCO has stated Most spent fuels estimated to be undamaged based on the radioactive contents of the pool water and remote inspection As of December 2013 fuel in the Unit 4 pool is now being removed Fukushima II was not flooded nearly as severely as Fukushima and successfully achieved cold shutdown of all units The safety goal is to achieve cold stable shutdown with temperatures below 100 C and any releases of radioactive materials from containment under control The injection of sea water while presumably stopping further core melting led to a large accumulation of highly radioactive water in the basement of the buildings because cooling was essentially once through Some of this water intermittently leaked to the sea and to ground Once thr
50. leak rate High typically 2x to Maximize public dose 10x design leak rate Low Maximize containment pressure Containment by pass leakage Pre existing steam Maximize public dose generator tube leak Weather Least dispersive Maximize public dose weather occurring gt 10 of the time Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 115 Parameter Conservative Direction Rationale Operator actions Not credited before 15 Ensure adequate time minutes after a clear for diagnosis indication of the event for actions that can be done from the control room and not credited before 30 minutes for actions that must be done in the field 6 6 Accident Walk Through Large LOCA As an example we shall walk through the phenomena of a large HTS pipe break Then we will cover more briefly a few more accidents which are representative but not exhaustive 6 6 1 Initiating event A large LOCA in a CANDU is conventionally defined as one where the break area is larger than twice the cross sectional area of the largest feeder pipe Therefore a large LOCA can be located only in the large piping above the core There are three representative locations Figure 53 reactor inlet header RIH reactor outlet header ROH and pump suction line PSH Other possible locations are lines connected to the pressurizer the shutdown cooling lines and the header interconnect lines It is conventionally assumed t
51. of the branches starting from the fre quency of the initiating event and multiplying by the probabilities of success or fail ure at each branch e Sum these to obtain the frequencies for core damage and large release This is a very simplified explanation and in practice the methods are much more complex e g Reactor Safety Design and Safety Analysis 72 The Essential CANDU they have to account for a failure in the fault tree example loss of instrument air also occur ring in the event tree or a failure of a mitigating system e g loss of service water which is common to the failure of other mitigating systems This topic is well beyond the scope of this section For more on common cause failures see USNRC 1981 A simple example which should be self explanatory is shown in Figure 29 where P1 P2 P3 etc are the probabilities of success for each mitigating system Note that if the failure prob abilities 1 Pi are small the success probabilities can be assumed to be equal to one when calculating each success branch So for example the frequency of core damage in the se quence just below the box labelled Stable is Small LOCA frequency x 1 P3 x P4 and one could set P4 1 in calculating this branch as a good approximation Note also that even if ECC fails the moderator will maintain pressure tube integrity and prevent fuel melting by removing heat from the fuel channel as described in Section 5 3 2 3
52. over the fuel e to prevent containment failure due to over pressure e to control and release the hydrogen About 15 hours after the earthquake March 12 at 05 46 the operators managed to inject fresh water using fire pumps followed about 13 hours later March 12 19 00 20 00 by direct sea water injection To control containment pressure the primary containment vessel PCV was apparently vented on March 12 at 10 17 This appears to have allowed the hydrogen in con tainment to migrate to and accumulate in the reactor building it exploded at 15 36 on March 12 destroying much of the superstructure of the building It appears from analyses done with severe accident codes that the fuel in Units 1 2 and 3 melted a few hours after being uncovered and may have penetrated the reactor vessel and the primary containment This could also be deduced from fairly simple bounding calculations Reactor Safety Design and Safety Analysis 52 The Essential CANDU The current state and location of the core and the integrity of the reactor vessel and the pri mary containment are not known with certainty although damage to both is expected A further issue was the condition of the fuel in the spent fuel pools Normally the decay heat generated by the fuel bundles in the pools is removed by active systems which of course were lost when all AC power was lost In the absence of heat removal or if water is lost due to leakage heating of the spent fuel
53. paradox with this safety goal is that it would make nuclear power safer than natural background radiation This is not as useful a safety goal as the previous one because it does not tell us anything about the frequency distribution of accidents However it can likewise be validated by summing all the events in a PSA which cause a release of radioactive material At a more basic level summing low doses over large numbers of people is incorrect and a safety goal derived this way is fundamentally flawed 4 1 3 Safety goals in Canada The CNSC has recently published safety goals for new reactors built in Canada The rationale is similar to our sample case Specifically CNSC states CNSC 2008 A limit is placed on the societal risks posed by nuclear power plant operation For this purpose the following two qualitative safety goals have been established 1 Individual members of the public are provided a level of protection from the conse quences of nuclear power plant operation such that there is no significant additional risk to the life and health of individuals and 2 Societal risks to life and health from nuclear power plant operation are comparable to or less than the risks of generating electricity by viable competing technologies and should not significantly add to other societal risks These are developed into design goals 1 Core Damage Frequency The sum of frequencies of all event sequences that can lead to signi
54. plastically onto the pellet during irradiation due to the excess external coolant pressure The small enclosed gas space in the element results in high sensitivity of gas pressure to fuel sheath geometry A small amount of fill gas is added to this space on assembly to achieve the proper sheath stress distribution during operation As burnup increases gas pressure causes the sheath once again to lift off the fuel the gap heat transfer coefficient decreases because the sheath creeps away from the fuel pellet This decrease leads to higher peak fuel temperature greater fission gas release from the fuel and finally higher gas pressure A new equilibrium point is reached In an accident gas pressure is the driving force for sheath strain Gas pressure can be modelled using the ideal gas law The volume depends on the transient behaviour of the gas gap which results from com plex models of sheath and fuel behaviour and is beyond the scope of this Chapter 7 3 4 Sheath strain large LOCA example Consider a large LOCA as an example One of the objectives in LOCA analysis is to predict the number of fuel sheaths which fail this determines the amount of radioactive material released to the coolant and is input into the calculations of release into containment and public dose Because the fuel heats up quickly the gas pressure inside the sheath increases relative to the coolant pressure and can force the sheath to strain A uniform strain of at least
55. quickly goes sub atmospheric and remains so for several days after an accident meaning that leakage is inward not outward The single unit CANDU 6 also uses pressure suppression Figure 42 The sprays and the ele vated water tank are located in the reactor building There are six spray arms each with spray valves arranged as two valves in series on each spray arm to avoid a spurious douse The valves on three spray arms are pneumatically operated and for diversity the valves on the other three are electrically operated The containment building is made of pre stressed post tensioned concrete with an epoxy liner for leak tightness Dousing cycles on and off for small breaks but for large breaks it remains on until the dousing water is used up and is all on the basement floor of the reactor building Dousing does not control pressure in the long term because it is used up in the early part of an accident In the longer term heat can be removed by containment air coolers These require both water and electrical power Alternatively low flow sprays can also be used with heat being removed from the spray water by heat exchangers and the cooled water pumped back up to the spray arms 5 5 3 Isolation In normal operation containment is not a sealed system Many fluid lines penetrate the build ing e g steam lines feed water lines service water lines instrument lines For CANDUs the building is normally ventilated for atmospheric te
56. risky as hurtling down a narrow strip of levelled ground at 100 km h in a thin metal container containing 60 litres of explosive liquid towards someone else in a similar device using a painted strip as a guide to avoid collision Yet almost all people believe the benefits of driving are worth the risk Sometimes the decision is made on a societal basis if you live in a city you cannot easily choose to accept or reject risks such as being hit by a car even if you choose not to drive one breath ing polluted air or getting mugged Activities which pose an involuntary risk are often regulated by law In our three examples the respective regulatory devices would be traffic laws emission controls and the criminal laws The benefits of nuclear power include production of clean electricity In Ontario over half the electricity comes from nuclear power in countries such as France as much as 80 Other benefits of nuclear technology are medical and industrial applications insect control environ mental protection and scientific research Canada is the source of much of the world s produc tion of medical isotopes largely originating from the NRU reactor at Chalk River This chapter is concerned with risk to humans Many technologies also pose risk to other living organisms For nuclear technology in general if radiation risk to humans is acceptable the risk to other living things will also be acceptable because they are less susceptible to
57. start Steam generator rapid crash cooldown is also initiated automatically and the MSSVs open to discharge secondary side steam to atmosphere Fuel temperatures stabilize and fall as the headers and then the channels refill After the initial injection phase ECC switches to medium pressure and then to low pressure ECC in which the water from the break is recovered from the building sumps cooled and re injected This gives a stable end state which can last for months The time scale is shown in Figure 55 8 The percentage is twice the cross sectional area of the pipe hence a 100 break is twice the cross sectional area allowing for discharge of coolant from both ends of the broken pipe Note that other breaks may also stagnate at different times which one results in the highest fuel and sheath temperatures is determined by analysis Reactor Safety Design and Safety Analysis 118 The Essential CANDU IHD2 PASS 1 Intact loop PASS 2 Intact loop IHD4 HPECC SG crashcool IHD6 PASS 3 Broken loop IHD8 PASS 4 Broken loop LOCA and loop isolation analysis setpoints Pressure MPa a OV HT pump trip MPECC injection begins LPECC injection begins 0 0 100 0 200 0 300 0 400 0 500 0 600 0 700 0 800 0 900 0 1000 0 Time s Figure 55 Typical LBLOCA timescale A typical containment pressure transient for CANDU 6 is shown in Figure 56 The pressure rises rapidly an
58. survivors to low doses For large doses in the stochastic range the linear hypothesis states that ICRP 1990 100 person Sv will produce about 5 fatal cancers in the exposed general population Sample Problem Rank the magnitude of the following risks to a group of people express the answers numerically and explain your reasoning a A collective dose of 1000 person Sv given to 1 000 000 people b A collective dose of 1000 person Sv given to 100 000 people c A collective dose of 1000 person Sv given to 100 people d A collective dose of 1000 person Sv given to 5000 people Answer According to the linear hypothesis a collective dose of 1000 person Sv should result in 50 fatal cancers However one must be careful of the range of applicability For each case in turn a The average dose is 0 001 Sv which is so small that there is no evidence that the linear hypothesis applies Incidentally this is also less than the annual dose in North America from natural background radiation b The average dose is 0 01 Sv and therefore the linear hypothesis is likely inapplicable c The average dose is 10 Sv which would cause prompt injury or death and therefore the linear hypothesis is inapplicable d The average dose is 0 2 Sv and therefore the linear hypothesis may be used and would predict 50 fatal cancers over time in the exposed population 1 6 2 Hormesis The difficulty with the linear hypothesis is that the effects of radi
59. t Availability is the proportion of the time that a system is in a functioning condition If no repairs have been made it is the same as reliability If a system has been repaired then its availability will satisfy R t lt A t lt 1 Assume random failures This implies that A constant and therefore R t e reliability as illustrated in Figure 25 Eventually the reliability goes to zero for long times Conversely the failure probability is F t 1 R t 1 e as illustrated in Figure 25 and goes asymptotically to one for long times Reactor Safety Design and Safety Analysis 66 The Essential CANDU Let repair occur at some time interval t This resets the failure probability to zero each time the component is repaired assuming that the repair is perfect and restores the component to its original condition Then F t is a sawtooth curve as illustrated in Figure 26 If t lt lt then 2 F t 1 1 At Z At for t lt r in any interval 24 with t measured after the time of last repair Hence 4r F 2 25 i e the failure probability is half the test interval times the failure rate em Reliability Failure Probability Reliability Failure Probability Time m onths Figure 25 Reliability for constant A Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 67 Availability Failure Probability Availability Failure Prob
60. that because most of the dual control safety rods were withdrawn the reactor trip was ineffective in stopping the power rise Later analysis Chan 1987 and INSAG 1992 indicated that a major cause of the accident was the unexpected behaviour of the shut off rods which actually caused an increase in reactor power rather than shutting the reactor down This surprising design aspect requires more detailed explanation The absorber rods have graphite displacers or followers attached to their lower ends which are designed to increase the absorber reactivity worth As they are inserted the absorber rods move into the high flux region in the centre of the core which was previously occupied by the graphite so that the absorber rod effectiveness is enhanced see Figure 17 If no graphite were present the rod would displace water also an absorber in which case the change in reactivity with insertion would not be as great However during the accident most of the absorbers were well removed from the core which was an abnormal configuration The flux was peaked at the top and bottom where most of the reactor power was being generated Therefore when absorber insertion first started the water in the high flux region at the bottom of the core was first displaced by the graphite follower leading to a reactivity increase Therefore operating the plant in an abnormal condition re sulted in an unusually large hold up of void reactivity which combine
61. the control room it was decided to dump the moderator into a storage tank Within less than 30 seconds the power level metres were back on scale and the power dropped rapidly to zero The removal of the safeguard bank made the reactor supercritical by about 6 mk and started a power rise to about 100 kW The lone shut off rod started to fall in at this point but the power kept rising to about 17 MW Boiling then occurred in some of the temporarily cooled rods expelling the light water and increasing the reactivity by another 2 5 mk Power continued to rise to 60 90 MW when it was stopped by dumping the moderator The power surge melted a number of fuel rods and caused a number of calandria tubes to fail Eventually in a major operation the reactor calandria was removed and buried the building was decontaminated and the reactor was replaced 3 1 2 3 Lessons learned 1 Some negative reactivity should always be held in reserve safeguard bank Before a reactor is made critical the safeguard bank is removed and poised so that if anything goes wrong it can be quickly reinserted In CANDU both shutdown systems 1 and 2 are poised before the reactor is allowed to go critical using the control devices 2 The shut off rods must be of a simple design After NRX designers mistrusted shut off rods as a safety shutdown mechanism hence NPD and Douglas Point used moderator dump as their emergency shutdown system and had no safety rods Pickeri
62. the few most important are listed The reader should consult the refer ences for more detail 3 1 Criticality Accidents and Power Excursions The earliest accidents in nuclear reactors were criticality accidents This is not surprising because most early reactors were research reactors which were small enough that if the reactor was shut down the decay heat could be removed by the water and by structures surrounding the core for long periods of time Loss of heat sink was not a major issue There fore the main safety concern was avoiding unwanted criticality and shutting down quickly if it occurred This concern was emphasized by the large worth of some of the reactivity control devices because reactors were small space for control rods was limited and refueling was infrequent the control rods had to compensate for burnup and tended to have high reactivity worth A number of reactivity accidents have taken place when the reactor was supposed to be shut down An initially sub critical reactor is not as safe as it sounds The power is fairly constant and proportional to the number of source neutrons divided by the absolute value of the nega tive reactivity Cameron 1996 N 3 where Ny is the number of neutrons Se is the source term neutrons produced per unit of time either from spontaneous fis sion fission product decay photoneutrons or an artificial neutron source and p is the reactivity negative in this case
63. the other end of the scale real plant transients such as shutdowns are used to validate some aspects of CANDU kinetics at full scale 6 4 2 Thermo hydraulics The major integral facility used for validation of system thermo hydraulic codes is RD 14M shown in Figure 47 Buell 2003 It is a full elevation model of a typical figure of eight CANDU reactor heat transport system at full pressure and temperature conditions and with ten full length electrically heated channels All HTS components are simulated channels end fittings feeders headers and steam generators Mass flux transit times and pressure and enthalpy distributions are similar to CANDU Tests cover all phases of a large or small LOCA scenario including blowdown and refill natural circulation in single phase and two phase and loss of Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 107 shutdown cooling 6 4 3 Fuel Separate effects fuel testing is performed out of reactor For integral tests the NRU reactor has a vertical in core loop that can be loaded with CANDU fuel elements and subjected to a LOCA Blowdown Test Facility Fuel behaviour during extended post dryout operation has also been studied in the NRU loops Figure 47 RD 14M schematic 6 4 4 Moderator thermo hydraulics The moderator thermo hydraulic codes have been validated against a wide variety of tests ranging from pseudo two dimensional slices of a mod
64. time protect them against external events and provide recharging ca pability Maintain on site and off site communications 5 Provide facilities on site to deal with physical destruction and high radiation fields e g bulldozers to clear debris 6 Review lessons learned about institutional behaviour e g the role of the regulator See Chapter 16 for a case study 7 Examine the impact on accident evolution of having multiple units at one site 3 3 Problems 1 Browns Ferry Fire 1975 a Locate as a minimum the following source material try the USNRC web site Fire at Browns Ferry Nuclear Plant Tennessee Valley Authority March 22 1975 Final Report of Preliminary Investigating Committee May 7 1975 Assess the Browns Ferry fire in terms of threats to the ability to control cool contain and monitor Indicate lessons learned Describe how you derived these lessons learned Do not just copy official lessons learned Comment on the robustness of the design and indicate whether design or oper ating changes should have been considered and why 2 Tokai Mura 1999 a Locate as a minimum the following material International Atomic Energy Agency Report on the Preliminary Fact Finding Mission Following the Accident at the Nuclear Fuel Processing Facility in Tokaimura Japan IAEA report 1999 Assess the accident in terms of threats to the ability to control cool contain and monitor Indicate lessons learned
65. when the reactor was on power Because there was no heat sink for the primary coolant the coolant pressure began to rise and the pressurizer relief valve opened to limit the pressure as it was supposed to do following which the reactor tripped shut down automatically As the pressure fell the emergency core cooling system activated to make up for lost water again as designed The pressurizer relief valve should have re closed but did not This led to a small and continuing loss of coolant through the open valve which went unrecognized for hours The result was that the loss of inventory uncovered the core leading to a partial core melt hydro gen production from oxidation of the fuel sheaths at very high temperatures a hydrogen burn inside containment and a partial melt through of the pressure vessel wall at the bottom However the wall remained intact Finally the failed valve was recognized and then isolated by closing a blocking valve the main pumps were turned back on to re pressurize the system and high pressure make up water was added to refill it Figure 20 shows the end state of the core Smithsonian 2004 Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 47 A stuck open pressure relief valve PRV is uncommon but not rare What converted this operating transient into a partial core melt was that the operators did not realize that the valve had stuck open partly because the valve indica
66. which its extension is welded Figure 16 The small outlet pipes above the core are in an enclosure designed for a rupture of up to two channels or their outlet pipes because rupture of more than one was believed to be highly improbable As noted in INSAG 1992 Simultaneous failure of a greater number of fuel channels would generate a pressure high enough to fail the containment function by lifting the cover plate in the process severing the remainder of the fuel channels 3 1 3 2 The event The accident resulted from a test to show that after a main pump trip the small amounts of steam generated from the low residual reactor power could provide enough electricity through the turbine generators to extend the rundown time of the main coolant pumps The test was to be done while the reactor was critical However shortly after pump trip the reactor power started to increase rapidly could not be terminated and caused the violent destruction of the reactor The test was supposed to have been done at a starting power of 700 MW th However it was initiated at a power level of 200 MW th The reasons are somewhat lengthy but during the transfer from the local power control system to the main range automatic power an unplanned Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 41 drop to zero neutron power occurred and lasted for four to five minutes The operator instead of aborting the test then
67. x y and z are indeed chosen based on reasonableness likelihood but the historical database of hostile acts against nuclear power plants is sparse In any case the defences being built into new plants for severe accidents are also helpful against malevolent acts For these reasons those regulators that have safety goals use them in addition to whatever deterministic criteria they have developed This combination is called a risk informed approach in which the quantified risk provides a powerful rationality check 4 2 Risk Assessment This section summarizes the probabilistic safety assessment concepts and tools used to demon strate numerically that the plant meets its safety goals as well as for many other purposes For basic references see McCormick 1981 and USNRC 1981 4 2 1 The basics First you may want to refresh your memory by reading Appendix 1 Basic Rules of Boolean Algebra and the rules about the probability of multiple events The following text assumes you already know or have read all this material Sample Problems a A nuclear reactor has two fully independent shutdown systems The probability that a shutdown system will fail on demand is 1 in 1000 What is the probability that they will both fail in an accident Answer Let A be the event where shutdown system 1 fails and A2 be the event where shutdown system 2 fails These are stated to be independent events so P A A2 P A P A2 10 x 10
68. 0 NRX was Canada s first large research reactor built in 1947 with a thermal power of 30MW The moderator was heavy water contained in a cylindrical calandria Cool ing was once through light water taken from and returning to the Ottawa River Passing through the calandria were vertical tubes open to the air at top and bottom Each fuel rod made from metallic uranium sheathed in aluminum had its own cooling jacket Figure 13 each rod with its cooling jacket was located in one of the vertical tubes Figure 14 A stream of air passed between each fuel rod and its calandria tube Twelve boron shut off rods passed through 12 of these tubes Start up was achieved by removing half these rods after which the reactor was controlled by varying moderator level CROSS SECTION CALANDRIA TUBE OUTER SHEATH WATER ANNULUS INNER SHEATH Figure 13 NRX fuel cross section The shut off rods could be raised by compressed air and were then held up by an electromag net They could be driven back in using high pressure air although they would fall more slowly Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 37 under gravity if released VELOCITY SELECTOR lt H o HOLE UPPER HEADER ROOS CENTRA yo ramecetp UPEER A VENTILATION UPPER HEADER ROOM CONCRETE SHIELD E T Ne ea SRE 29 8 ea
69. 0 0005 0 005 2 10 to 10 0 005 0 05 3 10 to 10 0 03 0 3 4 10 to 10 0 1 1 5 lt 10 0 25 2 5 2 5 3 RD 337 As the nuclear industry has become more international and more competitive the Canadian Nuclear Safety Commission CNSC has understood the need to align its requirements espe cially for new builds more closely with international ones and has therefore developed top level design requirements CNSC 2008 which align more closely with IAEA standards IAEA 2000 and are less technology specific Events are divided into three classes anticipated operational occurrences AOOs which are expected to occur at least once in the plant lifetime design basis accidents and beyond design basis accidents BDBAs including event sequences that may lead to a severe accident The limits are from CNSC 2008 and CNSC 2008a Table 3 Dose limits Event Frequency Dose Limit Sv Anticipated Operational Occurrence gt 10 reactor year 0 0005 Design Basis Accident 10 to 10 reactor year 0 020 There are no dose limits for BDBAs but there are numerical safety goals and specific system design requirements see Section 4 Expected frequency ranges are not part of C 6 they were used by Ontario Hydro in the licensing of Darlington to classify events not listed in C 6 Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 25 2 6 Other Design Basis Events A complete list of design basis ac
70. 10 where p x is the probability density function If p x is a constant po then P X Po X Xmin as expected There are two types of systems 1 Those that operate on demand i e safety systems 2 Those that operate continuously i e process systems 4 2 3 1 Demand Systems We define Dn P Dn n demand probability of success on demand n P Dn probability of failure on demand n Wh What is the probability that it works for n 1 demands and fails on demand n case where system works for each demand up to and including demand n Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis PW P DD Dy4 _ P D W 1 P D IW DPW 1 Therefore P D D D _ D P D W _ P W _ P D D D D x P D D D D _ P D D x P D If all demands are alike and independent this reduces to P D D D D PIDI PID 4 2 3 2 Failure dynamics Failures can be time dependent Let f t dt probability of failure at time t in the time interval dt F t cumulative failure probability far Assuming that the device eventually fails the reliability R t is defined as R t 1 F t Therefore dR t dF t a 63 11 12 13 14 15 16 17 Let A t dt probability of failure at time t given successful operation up to time t i e the conditional failure rate then f dt A t dtR t or KOA
71. 5 will not lead to sheath failure however greater strains can lead to local instability ballooning and failure The strain rate equations are complex functions of material composition material state tem perature irradiation and transverse stress and are determined from experiments Typically their form is established as follows Define the transverse stress o across the sheath as Pr C w 44 Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 141 where P is the pressure differential across the tube ris the tube radius w is the tube thickness The strain rate is then expressed in terms similar to the following gt d 7 T Ao e Boe 45 t where eis strain A B k m n are determined by experiment and T is temperature 7 4 Heat Transport System The behaviour of the heat transport system is predicted by solving the equations of mass energy and momentum conservation for non equilibrium transient two phase flow in a network in one dimension Two phase means that we consider steam and water Non equilibrium means that the steam and water phases even in the same location can have different pres sures temperatures and flow rates Transient means that the desired behaviour is a function of time Current CANDU thermo hydraulic codes are one dimensional although sometimes phenomenological two or three dimensional models are used for components
72. 5 shows this whole process as a flowchart Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 105 Fission product transport in fuel and HTS Major codes in yellow Subsidiary codes in purple Barriers in red Hot channel analysis is part of the system thermohydraulics code Figure 45 Safety analysis codes 6 4 Code Validation and R amp D It is essential that the results of safety analysis codes reflect reality or at least a version of reality in which the predictive bias is understood Extensive R amp D is done to support safety analysis codes in facilities which range from small to full scale The purpose of R amp D is not to simulate an accident but to provide the fundamental scientific and engineering data against which the codes can be validated i e their results compared to experimental data Experi ments generate scientific knowledge relevant to the phenomena in a nuclear reactor accident This knowledge is used to build engineering models which in turn are used in digital computer codes The codes are then validated against the knowledge using different data from those used to develop the models The validation can include comparison against small scale and integral tests as well as real nuclear power plant transients where data are available The codes are also independently verified to confirm that the mathematical and engineering models have been represented correctly in the code languag
73. 8 The seven levels in the scale are shown in Table 16 The table is self explanatory but should be read carefully Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis Table 16 INES event scale Description People and the environ Radiological barriers and Defence in depth and INES ment controls at facilities Level Major Acci Major release of radioac dent Level7 tive material with wide spread health and envi ronmental effects requiring implementation of planned and extended countermeasures Serious Significant release of Accident Level radioactive material likely 6 to require implementa tion of planned counter measures Accident with wider conse quences Level 5 Limited release of radio active material likely to require implementation of some planned coun termeasures Several deaths radiation from Severe reactor damage Release of large quanti ties of radioactive mate rial within an installation with high probability of significant public expo sure This could arise from a major criticality accident or fire core Accident with local conse quences Level 4 Minor release of radioac tive material unlikely to result in implementation of planned countermea sures other than local food controls At least one death from radiation Fuel melt or damage to fuel resulting in more than 0 1 release of core inventory Release o
74. 986 Parts and Il August 1986 Also see In formation on the Accident at the Chernobyl Nuclear Power Station and its Consequences prepared for IAEA translation of Atomnaya Energiya Vol 61 No 5 pp 301 320 No vember 1986 Venart 2004 J E S Venart Flixborough the Explosion and its Aftermath Trans IChemE Part B March 2004 Process Safety and Environmental Protection Vol 82 Issue B2 pp 105 127 2004 Westinghouse 2011 Westinghouse AP1000 Design Control Document Tier 2 Revision 19 Section 15 4 8 2 1 7 USNRC Westinghouse 2011a Westinghouse AP1000 Design Control Document Tier 2 Revision 19 Section 15 6 5 2 USNRC Westinghouse 2011b Westinghouse AP1000 Design Control Document Tier 2 Revision 19 Section 1 USNRC Wren 1999 J C Wren J M Ball and G A Glowa The Chemistry of lodine in Containment Nuclear Technology Vol 129 No 3 pp 297 325 2000 Wren 2001 J C Wren and J M Ball LIRIC 3 2 An Updated Model for lodine Behaviour in the Presence of Organic Impurities Radiation Physics and Chemistry Vol 60 577 596 2001 Xu 1999 J Xu V S Krishnan P J Ingham B N Hanna and J R Buell Thermal Hydraulic Design Methods and Computer Codes China Journal of Nuclear Power Engineering Vol 20 No 6 1999 Yaremy 1979 E M Yaremy A Review of the Incident at the Three Mile Island Nuclear Power Plant presented to the Canadian Electr
75. Crash cooldown is part of the ECC signal however because of its importance recent designs have two independent crash cooldown signals 5 4 6 Reliability As a safety system the ECC must meet a demand unavailability of 10 or less A running unreliability of 10 over the three month mission time has been used as a design target Availability will be better because fuel will heat up more slowly in the longer term if interrup tions in ECC occur hence there may be time to repair the fault in ECC before further fuel damage occurs 5 5 Containment The important aspects of containment are the following 1 What is the design pressure What is the leak rate at design pressure How is pressure controlled How is heat removed How is containment isolation ensured What is the containment reliability What other functions must containment perform Oy Oe eS 5 5 1 Design pressure and leak rate Containment is an envelope around those systems containing or potentially containing signifi cant amounts of fission products and is designed to prevent their escape to the environment Of course any structure will leak and the leak rate will increase with internal pressure Typi cally containment surrounds at least the reactor core and the primary heat transport system The design pressure is chosen to be greater than the maximum pressure reached in any accident Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety An
76. DRO An and hence GRO A t R t dt 18 19 Reactor Safety Design and Safety Analysis 64 The Essential CANDU Solving and using the boundary condition R 0 1 A r dt R t e 20 If A is constant i e random failures R t e 21 A typical A t is shown in McCormick 1981 page 26 the bathtub curve Figure 24 A Random failure rate Typical mechanical equipment Sy mtr Typical electrical equipment aaa a TTET CT ELLLLLLTITITTTTLI m Burn in lt Life expectancy Wear out gt tr TIME gt Figure 24 Typical A t versus time Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 65 Table 6 summarizes the relationships among these quantities Table 6 Reliability terms and relationships Description Symbol Hazard rate A t 7 1 dR f t f R dt 1 F t R t Reliability R t r 1 F t facar J f c dr a Cumulative failure probability F t i 1 R t faar J fdr eee Failure probability density f t dF t _ R t A t R t dt dt 4 2 3 2 1 Mean time to failure MTTF This is simply the time weighted average over all time of the failure probability density efode MTTF _ _ f tf t dt f fdr 22 0 since f t dr 1 a component will eventually fail fs p y 0 If X is constant then MTTF Aer 23 J Fi 4 2 3 2 2 Availability A
77. F King J T Rogers and H Tamm CANDU Safety under Severe Accidents An Overview AEA OECD International Symposium on Severe Accidents in Nuclear Power Plants Sorrento Italy March 1988 Also Atomic Energy of Canada Ltd Report AECL 9802 Snell 1989 V G Snell J W Hilborn G F Lynch and S McAuley Safety Aspects of District Heating Reactors invited paper presented to the AEA Workshop on the Safety of Nu clear Installations of the Next Generation and Beyond Chicago August 1989 Stacy 2000 S M Stacy Proving the Principle daho Operations Office of the Department of Energy Idaho Falls Idaho report DOE ID 10799 2000 This is a history of Idaho Nuclear Laboratories See Chapters 15 and 16 for SL 1 StatsCan 2009 Leading Causes of Death Total Population by Age Group and Sex Statistics Canada 2009 Talbot 2003 E O Talbot A O Youk K P McHugh Pemu and J V Zborowski Long Term Follow Up of the Residents of the Three Mile Island Accident Area 1979 1998 Envi ronmental Health Perspectives Vol 111 No 3 March 2003 TEPCO 2011 Tokyo Electric Power Company Evaluation Status of Exposed Dose of Employees Engaged in Emergency Work in Fukushima Daiichi Nuclear Power Station Exhibit July 13 2011 TEPCO 2011a Tokyo Electric Power Company Effects of the Earthquake and Tsunami on the Fukushima Daiichi and Daini Nuclear Power Stations May 24 2011 Thompson 1965 T J Thomp
78. However the reactor is not under active control Detectors are insensitive and indications that the reactor might be near critical are not very obvious In some cases the reason for the shutdown is to do maintenance on the control or shutdown systems which means that they are not available Then safety depends on ensuring an adequate shutdown margin net negative reactivity by procedural means i e inserting a number of absorber rods or removing fuel or adding a liquid absorber to the moderator or coolant or removing the neutron reflector sur rounding the core Safety also depends on maintaining the shutdown margin over time This is the reason for the guaranteed shutdown state in CANDUs to have a large enough negative margin that the reactor is resistant to operator mistakes or equipment failures It is also good Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 33 practice as we shall see from the case studies to have an additional means of shutdown always poised even during shutdown You may want to think about whether it is safer to refuel a reactor while it is critical or during a shutdown 3 1 1 SL 1 3 1 1 1 Description This summary uses material from USAEC 1962 USAEC 1962a USAEC 1962b Stacy 2000 and Thompson 1965 The SL 1 Stationary Low Power Reactor No 1 was a natural recirculation pressurized boiling water military reactor with a thermal power of 3 MW I
79. NDU Analysis Nuclear Engineering and Design Vol 180 113 131 1998 Howieson 1987 J Q Howieson and V G Snell Chernobyl A Canadian Technical Perspective Atomic Energy of Canada Limited publication AECL 9334 January 1987 Also Nuclear Journal of Canada Vol 1 No 3 September 1987 HSE 2006 Health and Safety Executive United Kingdom Safety Assessment Principles for Nuclear Facilities Bootle 2006 Edition Revision 1 Hurst 1953 D G Hurst The Accident to the NRX Reactor Part II Atomic Energy of Canada Limited Report AECL 233 October 1953 Reactor Safety Design and Safety Analysis 162 The Essential CANDU Hurst 1972 D G Hurst and F C Boyd Reactor Licensing and Safety Requirements Paper 72 CNA 102 12th Annual Conference of the Canadian Nuclear Association Ottawa Ontario June 1972 Huterer 1984 J Huterer E C Ha D G Brown and P C Cheng Darlington GS Vacuum Build ing Containment Shell Nuclear Engineering and Design Vol 85 131 140 1985 IAEA 1991 International Atomic Energy Agency Safety Related Terms for Advanced Nuclear Plants AEA TECDOC 626 September 1991 IAEA 2000 International Atomic Energy Agency Safety of Nuclear Power Plants Design AEA report NS R 1 2000 IAEA 2002 International Atomic Energy Agency Safety Culture in Nuclear Installations AEA TECDOC 1329 December 2002 IAEA 2008 International Atomic Energy Agency Analysis of
80. NOR XOR and XNOR 13 2 Basic Principles A 0 or A 1 i e something can only be true or false not both If A 0 AO A 0 i e if A is false and because AM A A then AQ A is false Sometimes this is written as 0 0 0 If A 1 A U A 1 i e if A is true and because AU A A then AUA is true Sometimes this is written as 1 1 1 Remember you are not doing arithmetical addition If A 0 then A U A 0 This is obvious if you think of set theory as we did above Sometimes it is written 0 0 0 If A 1 then AA A 1 Again obvious from set theory also written 1 1 1 If A 1 and B 0 then AQB BQA 0 i e if A is true and B is false then the intersection of A and B can never be true and vice versa Sometimes this is written as 1 0 0 1 0 If A 1 and B 0 then AUB BUA 1 i e if either one of A or B is true then the union of A and B A OR B is always true This can be written 1 0 0 1 1 13 3 Theorems These sound abstract but are obvious once you draw Venn diagrams with set theory symbols You can substitute the mathematical symbols and for U and A if this is more intuitive for you Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis Commutative Law AUB BUA AQNB BOA Associative Law AUB UC AU BUC AQB YC AQ BOC Distributive Law AM BUC AMB U ANC AU BMC AUB AUC Identity Law ANA A AUA A Completeness ANB U AMB A ANB A AMB A
81. Nuclear Power Symposium Lecture No 5 Canadian Power Reactor Fuel Atomic Energy of Canada Limited 1972 from CANTEACH Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 165 Popov 2012 N K Popov and V G Snell Safety and Licensing Aspects of Power Reactor Reactivity Coefficients Proceedings 20th International Conference on Nuclear Engineer ing ICONE20 Anaheim California USA July 30 August 3 2012 Popov 2013 N Popov V Snell R Tran and G LeRoy Thermo Hydraulic Aspects of Reactivity Coefficients in CANDU 15th International Topical Meeting on Nuclear Reactor Thermal Hydraulics NURETH 15 Pisa Italy May 12 17 2013 Rizkalla 1984 S H Rizkalla S H Simmonds and J G MacGregor Pre Stressed Concrete Containment Model Journal of Structural Engineering Vol 110 No 4 pp 730 743 1984 Rizkalla 1986 S Rizkalla Limit States Behaviour of Pre Stressed Concrete Containment Structures Proceedings Second International Conference on Concrete Technology for Developing Countries Tripoli Libya Splaj October 27 30 1986 Vol 2 El Fateh Univer sity Civil Engineering Department 1986 Rogers 1987 J T Rogers Insights from Chernobyl on Severe Accident Assessment of CANDU Reactors Nuclear Journal of Canada Vol 1 No 2 pp 107 118 1987 Rogers 1995 J T Rogers D A Meneley C Blahnik V G Snell and S Nijhawan
82. ON vee o PUEL OMAT ASM e FEEDER rete T waT CANDU 6 Reactor Assembiy Figure 59 Sources of water near the fuel Blahnik Blahnik 1991 using the MAAP CANDU code has characterized the degradation of a CANDU core with no cooling and gradual boiling off of the moderator The uncovered channels heat up and slump under their own weight until they are held up by the underlying channels Eventually as successive layers of channels pile up the supporting channels still submerged collapse and the whole core slumps to the bottom of the calandria vessel Figure 60 Figure 61 See IAEA 2008 and Blahnik 2012 for further reading Details of the channel failure mode are as follows the axial creep rate of the pressure tube material Zr 2 5 Nb increases rapidly with temperature and excessive sagging of the channel is expected to occur above 1200 C In Blahnik s model a sagging channel comes into contact with the next lower row of channels The lower row of channels may or may not be cooled adequately by the moderator depending on whether it is submerged in the moderator Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 131 end shield channel stubs solid plane plane A B debris s a solid on a e o O J O O deformed O offO channels hollow Figure 60 Channel collapse in severe core damage accident Broken channles dissassembly Intact channels failu
83. Reactor Safety Design and Safety Analysis prepared by Dr Victor G Snell Summary The chapter covers safety design and safety analysis of nuclear reactors Topics include concepts of risk probability tools and techniques safety criteria design basis accidents risk assessment safety analysis safety system design general safety policy and principles and future trends It makes heavy use of case studies of actual accidents both in the text and in the exercises Table of Contents Ds lUntr d cti n nsten meaai a ae acid sachet ula ads Sad caculawauhe aa unt a deer sme nee a 6 L OVERVIOW cso cece hed ote eane ane e Wadd nate te edged ote es aged Mee jane aa e aea ee ee bene a aa 6 1 2 Learning QUECOMES iis cec 2 05 cusodeeecbeecs 68h aaa esta de dhscudvececi a a aa da fics Sdlees ceeec a a aana Jolt 2 8 T3 RIS Kunin ninun a Rta alarms weed aaa a nae a need eames ae ete ne eae ld 8 1 4 Hazards from a Nuclear Power Plant sccdiicsesecdcssestedgusadeesccavvadtecdeawedcsabatexbecodpiducachedeunteaerdant 10 1 5 Types of Radiation in a Nuclear Power Plant ccccecsessssecececeesseesseseceeeesceesssssaeseeeeeens 12 1 6 Effects of Radiation ses cccssecasusrcst oieri aE E E E analuentnensteacauetes 12 1 7 Sources OF Radiation ororen orir rini EA ERATE EEA TERE ERa 14 DS RISK Sorccossna cass oni caren tee aes EET EEE EEA TEE U EE a AATA a AN AE T Ea S 15 29 gt PrObBl EMS areaal amaa a a e a a a a a 17 2 Design Basis A ede S a s
84. Redundancy AU AMB A AM AUB A Mathematical 1 A 1 1 A A O A A 0 A 0 173 Reactor Safety Design and Safety Analysis 174 The Essential CANDU A AB A B A A B A B DeMorgan s Theorem A B A B A B A B These will be useful when you work out fault trees mathematically 13 4 Combining Probabilities If event A occurs x times out of n repeated experiments then P A Probability of event A lim n 59 Obviously 0 lt P A lt 1 P A P A 1 60 In other words an event must either occur or not occur there is no third possibility 13 4 1 Probability of both events occurring A1A2 means that both events occur and therefore P A4 A2 is the probability that both events occur The product rule for probabilities states that P A1A2 P Ax Az P Az P Az A1 P A3 61 For example if A is the probability that part 1 fails and A is the probability that part 2 fails then P A A gt probability that both part 1 fails and part 2 fails probability that part 2 fails x probability that part 1 fails given that part 2 fails probability that part 1 fails x probability that part 2 fails given that part 1 fails Because probabilities are numbers the x does mean simple multiplication in these equations It is conventionally omitted i e P A P A2 is understood to mean P A x P A The conditional probability P A Az means the probability of event A given that event A has
85. S LWR CANDU 0 002 0 0001 0 001 0 01 0 1 1 10 100 1000 Reactor period sec Ref Neutron generation time data provided from S Glasstone and A Sesonske Nuclear Reactor Engineering Van Nostrand Reinhold 1967 Figure 57 Response of PWR and CANDU to reactivity increase As for the third theme ideally all accidents would induce negative reactivity feedback How ever this is not possible because a large negative coefficient in one event can become a large positive one for the complementary event In other words for every physical change that produces a negative reactivity effect the opposite change produces positive reactivity For example insertion of a control rod produces negative reactivity withdrawal or ejection of a control rod produces positive reactivity Likewise for a reactor with a positive coolant void or density coefficient a decrease in coolant density produces a positive reactivity whereas void collapse gives a negative reactivity Conversely if the coolant void reactivity is negative a decrease in coolant density produces negative reactivity whereas void collapse gives positive reactivity Table 12 compares the size and sign of reactivity coefficients in PWR and CANDU Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis Table 12 Reactivity effects in PWR and CANDU A Coolant voids Large Negative Large Positive fom e a a 123 Coolant void collapses Pos
86. Severe Accidents in Pressurized Heavy Water Reactors IAEA TECDOC 1594 June 2008 IAEA 2010 International Atomic Energy Agency Development and Application of Level 1 Probabilistic Safety Assessment for Nuclear Power Plants AEA SSG 3 April 2010 IAEA 2011 International Atomic Energy Agency International Fact Finding Expert Mission of the Fukushima Dai Ichi NPP Accident Following the Great East Japan Earthquake and Tsunami AEA Report June 16 2011 IAEA 2011a International Atomic Energy Agency Safety of Nuclear Power Plants Commission ing and Operation Specific Safety Requirements IAEA report SSR 2 2 July 2011 IAEA 2012 International Atomic Energy Agency Safety of Nuclear Power Plants Design Specific Safety Requirements IAEA report SSR 2 1 January 2012 ICRP 1990 International Commission on Radiological Protection 1990 Recommendations of the ICRP report ICRP 60 table B ICRP 2010 International Commission on Radiological Protection Conversion Coefficients for Radiological Protection Quantities for External Radiation Exposures ICRP Publication 116 Ann ICRP 40 2 5 2010 ICRP 2012 International Commission on Radiological Protection Compendium of Dose Coeffi cients based on ICRP Publication 60 ICRP Publication 119 Ann ICRP 41 Suppl INES 2008 International Atomic Energy Agency and OECD Nuclear Energy Agency INES The International Nuclear and Radiological Event Scale User s Manu
87. Team Analyses of the Chernobyl 4 Atomic Energy Station Accident Sequence DOE NE 0076 November 1986 USNRC 1981 United States Nuclear Regulatory Commission Fault Tree Handbook Report NUREG 0492 January 1981 USNRC 2001 United States Nuclear Regulatory Commission Systematic Radiological Assess ment for Source and By Product Materials report NUREG 1717 June 2001 USNRC 2002 A Howell et al United States Nuclear Regulatory Commission Degradation of The Davis Besse Nuclear Power Station Reactor Pressure Vessel Head Lessons Learned Report USNRC report September 30 2002 USNRC 2011 United States Nuclear Regulatory Commission Recommendations for Enhancing Reactor Safety in the 21st Century The Near Term Task Force Review of Insights from the Fukushima Dai Ichi Accident USNRC report July 12 2011 USNRC 2011a United States Nuclear Regulatory Commission Final Safety Culture Policy Statement USNRC report NRC 2010 0282 see Federal Register Vol 76 No 114 Tuesday June 14 2011 Notices USNRC 2013 United States Nuclear Regulatory Commission Title 10 Code of Federal Regula tions Part 50 Appendix A Criterion 54 USSR 1986 USSR State Committee on the Utilization of Atomic Energy The Accident at the Chernobyl Nuclear Power Plant and its Consequences Information compiled for the IAEA Reactor Safety Design and Safety Analysis 168 The Essential CANDU Experts Meeting Vienna 25 29 August 1
88. The Essential CANDU shutdown system could stop it in time Many lessons were learned from SL 1 here we summarize the major ones concerning reactivity control 1 It should be impossible for a reactor to be made critical by withdrawing the single most effective rod Conversely it should always be possible to shut down a reactor with the single most effective rod stuck in its outermost position This so called single rod rule has been followed ever since in safe reactor design 2 It should not be possible to withdraw a high worth rod quickly It is still unknown why the operator withdrew the rod In any case the lesson is that if a reactor requires high worth rods there must be mechanical means to prevent their rapid withdrawal 3 In a reactor where large amounts of reactivity can be added in short times there must be inherently fast negative reactivity feedback for example from fuel temperature so that the transient is stopped short of reactor damage This lesson was later applied in commercial light water reactors Note that the total worth of reactivity devices in CANDU is quite low because on power refuel ing means that the movable control devices do not have to compensate for burnup Moreover the dispersed CANDU core enables the reactivity worth to be spread among many individual reactivity devices 3 1 2 NRX 3 1 2 1 Description This summary uses material from Lewis 1953 Hurst 1953 Larson 1961 and Cross 198
89. a A A E a a E A Se 18 2 1 Top Down Approach cccccccccccsssssssececeeecessesseseeeceeeesceesesseseseseesenesesaeaeseeeesenesessaaeseeeeeens 19 2 2 Bottom YP Appro hirea n a aS A a eaa a head anda aaa aa EnaA 20 2 3 Probabilistic Safety Analyysi Sisirin i aea EERE EE E Tia 21 24 EXpEr ENCE nia oa a E Aa TEA E A AAE EE aaa AE So 22 2 5 Canadian Approach to DBAS cc cccccccccecessessssececececscsessnseaeseeeescseseeaeeeceesesesessaaeeeeeeeens 22 2 6 Other Design Basis EV Nts cccccccsccecececsesessaecececececsessaeseseceescseseeseeeeeesenssessaeseeeeeens 25 27 Problem S ennenen ane a e a a a a a 25 3 Experience in a e a a dee A E es EA A EA A bse loaned es A boone aaia ae SE 31 3 1 Criticality Accidents and Power EXCUISiONS c ccccssssceceeessececeeneeeceeseeeecesseeaeeeseeaeeeenees 32 3 2 Loss of Cooling Heat Removal scxidecssveccdesaisedonstuescesaadeacansiataaesduansscaatedeteaadereaateyeczeanegecseus 45 Bud Problems nianieira tE Ta ii EAE EEA EAT meted A ATS 53 4 Safety Goals and Risk ASSESSMENT issiron oeri e EEA E aaa 54 41 Safety GOal Ss eia erea EE RE a bee E ou ak Bee Ges NEN N Faas Tn ts 54 4 2 RIS ASSOSSIMGIN scercicsts ant Zesusateneanatuy dusradh GRE EEEE E AEE TEE E A Ea EE A ERRA 58 AS PrOD EMS norena ean n a a n a ea n ai 74 5 Mitigate SV tE S e a e a a aaa o a E a e a aE aa E Ean aR AEE 76 5 1 D fencesn Depths oe a a a deste a a e a aa e e en N Tea 76 5 2 Shutdown Systems esince i a a
90. ability Time months Figure 26 Availability with repair For constant A but t not lt lt A the following applies T T T F F t dt be e 26 0 0 AT A common task is to design a system composed of components that have a known failure rate to meet some target unavailability 1 A or A Given a design the repair interval is the remain ing variable A frequent repair cycle low t gives a low A but such frequent repair may be impractical due to excessive cost radiation exposure or wearout i e repair does not restore the equipment to an as built state In such a situation alternative designs would have to be considered Often repair may not be required to return F to zero It may be sufficient simply to test the components to ensure that they are available This is usually the case for demand systems Sample Problem Consider the case of a single shut off rod SOR for a reactor Given a failure rate based on previous experience of A 0 002 year and a required unavailability of lt 10 what is the re quired test period t Answer A 0 0017 27 To meet the A target of 10 we solve for t FS yl year 28 Reactor Safety Design and Safety Analysis 68 The Essential CANDU 4 2 3 3 System Unavailability Of course a real shutdown system has many more rods say N in total Let E be the event where all rods except for n drop successfully The system as a whole is designed to meet it
91. al 2008 Edition AEA Vienna 2009 Inhaber 1978 H Inhaber Risk of Energy Production Atomic Energy Control Board report AECB 1119 March 1978 INPO 2010 Institute of Nuclear Power Operations Field Guidance Organizational Effective ness Evaluation and Assistance INPO report Revision 2 March 2010 INSAG 1986 International Nuclear Safety Advisory Group Summary Report on the Post Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 163 Accident Review Meeting on the Chernobyl Accident International Atomic Energy Agency Report 75 INSAG 1 Vienna 1986 INSAG 1991 International Nuclear Safety Advisory Group Safety Culture International Atomic Energy Agency Report 75 INSAG 4 1991 INSAG 1992 International Nuclear Safety Advisory Group The Chernobyl Accident Updating of INSAG 1 INSAG 7 International Atomic Energy Agency Report INSAG 7 1992 INSAG 1996 International Nuclear Safety Advisory Group Defence in Depth in Nuclear Safety International Atomic Energy Agency Report INSAG 10 1996 INSAG 1999 International Nuclear Safety Advisory Group Basic Safety Principles for Nuclear Power Plants International Atomic Energy Agency Report INSAG 12 1999 lonescu 2009 S lonescu O Uta M P rvan and D Oh i Pressurized Heavy Water Reactor Fuel Behaviour in Power Ramp Conditions Journal of Nuclear Materials Vol 385 387 391 2009 Jaffe 1979 L Jaffe
92. alysis 95 for which a predictable degree of containment leak tightness is a requirement To determine the design pressure all design basis accidents which release significant radioactive material into containment are analyzed and the peak pressure reached in any one plus some margin is chosen to be the design pressure The important aspect of design pressure is that the leak rate at the design pressure is known In addition for severe accidents CNSC 2008 Containment maintains its role as a leak tight barrier for a period that allows sufficient time for the implementation of off site emergency procedures following the onset of core damage Containment also prevents uncontrolled releases of radioactivity after this period This requirement may also affect the design pressure Leak rate is generally not selected independently in advance but results from the construction technique If very low leak rates are required lt 0 2 day at design pressure a steel liner is used To Ak Fitter Syston Fuel Trarater Charme Figure 42 Single unit containment For CANDU 6 for example Figure 42 the design pressure is 124 kPa g and the leak rate at the design pressure is 0 5 of the contained volume per day Vacuum containments have lower design pressures because the vacuum building terminates the pressure rise and after the initial short term overpressure leak rates are negative inward for several days see Sectio
93. amage accident and can under the right circumstances become flammable or detonate hydrogen can also be produced slowly over the long term by radiolysis radiolytic decomposition of ECC water as it circulates through the core e the heat generated by the chemical reaction increases fuel and pressure tube tem peratures e the presence of a non condensable gas in large quantities can impede ECC water if the operator tries to recover from an impairment of ECC by injecting water late and e the formation of zirconium dioxide may embrittle the sheaths so that they may fragment and block cooling flow if ECC is eventually restored Correlations of the reaction rate of steam and Zircaloy therefore form an essential part of fuel channel codes The reaction rate becomes autocatalytic around 1400 C 1500 C that is the heat it generates 1 This was the fear behind the gas bubble within the reactor vessel during the Three Mile Island accident The concern was not burning within the vessel because no oxygen was present The hydrogen which escaped to containment which did contain oxygen formed a flammable mixture of 9 hydrogen and did indeed burn without serious consequences Jaffe 1979 Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 145 keeps the chemical reaction going with no further heat input In light water reactors this is a major concern the fuel elements are close together so ther
94. and the most carefully written procedures will not help if staff does not place safety first in their thoughts and actions See IAEA 2002 and INSAG 1999 for more detail Other organizations have used variant definitions The U S Nuclear Regulatory Commission USNRC 2011a defines it as the core values and behaviors resulting from a collective com mitment by leaders and individuals to emphasize safety over competing goals to ensure protec tion of people and the environment Informal but revealing definitions include Safety culture is what you do when the boss isn t looking and Safety culture is the way we do things around here To assist in recognizing a lack of safety culture the IAEA has defined the stages of organizational decline as shown in Table 15 Reactor Safety Design and Safety Analysis 152 The Essential CANDU Table 15 Stages of organizational decline Name of stage Characteristic of stage 1 Over confidence Good past performance leading to self satisfaction 2 Complacency Occurrence of minor events that are subjected to minimum self assessment and delay in improvement programmes 3 Denial Number of minor events increases with possibly a more significant event These are treated as isolated events Findings from audits are considered invalid Root cause analysis not used 4 Danger Several potentially serious events occur but management and employees reject criticism from audits or regulators b
95. ant accident and also to act as a temporary or permanent heat sink for decay power in case the main heat removal mechanisms are unavailable If the suppression chamber S C is to act as a long term heat sink it must be cooled by an external circuit e g for Unit 1 which we shall use as the example the isolation condenser Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 49 Status 1 460 MWe Operating 2 784 MWe Operating 3 784 MWe Operating TEA 784 MWe Outage 5 784 MWe Outage 6 1 100 MWe Outage Figure 21 Fukushima Dai ichi before earthquake The containment vessel is surrounded by a reactor building which among other things con tains and supports the elevated spent fuel pool The reactor building is not designed to with stand significant pressure The IAEA IAEA 2011 notes that In Unit 1 the Isolation Condenser IC is designed to operate through gravity driven natural circulation of coolant from the reactor pressure vessel RPV through a heat ex changer immersed in a large tank of water in the reactor building at an elevation above the core The Unit 1 IC was designed to have a decay heat removal capacity of about eight hours A valve must be manipulated to bring the IC into service Reactor Safety Design and Safety Analysis 50 The Essential CANDU Containment vessel Reactor vessel Dry well Wet well suppression chamber Fi
96. as generated a list of accidents from which design basis accidents can be selected For a power reactor the top event could be taken as unwanted movement of radioactive materials Because most radioactive materials are in the fuel the coolant the moderator or the spent fuel bay we then ask how in each of these cases they could become mobile i e airborne or waterborne Radioactive material could be released from the fuel by overheating or mechanical damage from the coolant and moderator by pipe breaks or overheating which later then releases the liquid or steam through relief valves and from the spent fuel bay also by overheating Fuel overheating in the core power cooling mismatch can be caused by loss of heat removal from the coolant loss of heat sink loss of the coolant itself coolant flow impair ment or a loss of reactor reactivity control which causes the power to rise Figure 5 illustrates the event generation sequence graphically Events in ovals represent possi ble end points of the chain where further detailed decomposition would not add much more information i e the ovals are potential design basis accidents Once we have reached this reasonable level of resolution we can sort the events into design basis accidents and beyond design basis accidents BDBAs using expected likelihood and possibly consequences as criteria Note that the figure is both highly simplified and incomplete with a number of unde velo
97. as introduced This section shows how to go about defining these More specifically design basis accidents are the set of accidents for which the designer makes explicit provision defence while remembering that more severe or peculiar accidents can occur and ensuring that his her design has some capability to deal with them Unfortunately there is no way of identifying possible accidents beforehand in any large scale Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 19 engineering field that is guaranteed to be complete The history of any technology is replete with unpleasant surprises especially at the beginning just think of the Hindenburg disaster the Flixborough cyclohexane explosion Venart 2004 and of course the Titanic Technolo gies if we are fortunate have their accidents early on when the scale is small and the lessons learned can be applied to commercial applications The best way to obtain a nearly complete list of accidents apart from experience is to use more than one technique In the next few subsections we describe several such techniques 2 1 Top Down Approach One technique is called the top down approach which starts by specifying an undesired outcome and then asks what the direct and immediate causes of that outcome could be Then one looks at each cause in turn and asks what are its direct and immediate causes and so on After a few such cycles one h
98. assistant to press two numbered buttons He gave the wrong number for one of the buttons and when it was pressed instead of resetting the air pressure as was intended it raised four more shut off rods If the first group of shut off rods had been down as their lights indicated they were raising four rods was a reasonable thing to do so the mistake was not recog nized Specifically the supervisor asked the assistant to press buttons 4 and 1 This would charge the air to the heads and raises the safeguard bank He had meant to say 4 and 3 which charges the air to the heads and seats the rods However because button 3 was not pressed the air to the heads brought up by button 4 leaked away and the safeguard bank which appeared to have Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 39 been up already was raised The supervisor realized his mistake but the assistant in the control room had to leave the phone to use both hands to push the two buttons From Cross 1980 It was soon apparent from instruments in the control room that the reactor was above critical and the power level was rising This was surprising but not alarming since the reactor could easily be turned off by dropping the shut off rods just raised However when after 20 seconds the button was pressed to do this only one of the four rods ac tually went down The power level continued to climb and after some discussion in
99. ation on humans at low doses below 0 1 Sv are so small or even beneficial the hormesis hypothesis that the models are very difficult to validate At the moment for better or worse the linear hypothesis is used internationally as the basis for setting regulations for radiation protection However the Fukushima accident has led to a rethinking of overly conservative regulations because there is a real risk in evacuating people unnecessarily which may be greater in some cases than the risk of radiation exposure Moreover ICRP has taken great pains to distinguish a priori theoretical risks from a posteriori predictions of real health effects resulting from low radiation doses to many people see e g Gonzales 2013 from which the following is quoted Following exposure to low radiation doses below about 100 mSv an increase of cancer has not been convincingly or consistently observed in epidemiological or experimental studies and will probably never be observed because of overwhelming statistical and biasing factors Reactor Safety Design and Safety Analysis 14 The Essential CANDU For more details on hormesis see e g Cuttler 2009 As an example Chen 2007 steel containing Co was used in the construction of 1700 apartments in Taiwan resulting in an average dose of 0 4Sv to the 10 000 occupants What was observed was a significant decrease rather than an increase in cancer deaths 1 7 Sources of Radiation Beca
100. be break the radionuclides contained in the HTS coolant can be released outside containment The break must be isolated in the longer term because the water lost through the steam generator is unrecoverable Because the discharge is small the operator has enough action time to perform HTS cooldown and steam generator isolation Back flow of light water from the secondary side to the primary side after the latter has been cooled down and depressurized causes negative reactivity and is not a safety concern Recent CANDUs have manually operated main steam isolation valves which can be used as one of the means to isolate the affected steam generator in the longer term 6 7 3 Barrier protection Because a small LOCA may occur during the station lifetime the safety systems are designed to prevent fuel sheath failure both before reactor trip to limit the period of pre trip overheating due to dryout as the channels void and afterwards during ECC 6 8 Accident Walk Through Single Channel Event 6 8 1 Initiating event The channel nature of the CANDU design means that certain accidents can affect one channel only e g partial or complete flow blockage due to a foreign object in the HTS a pressure tube failure which may or may not lead to a calandria tube failure a break in an individual feeder pipe or assumed failure of the pressure tube to end fitting rolled joint which can cause an end fitting ejection 6 8 2 Event sequence simplified
101. categorize them as active or as passive categories A B C or D give reasons 9 Review This Chapter has summarized the basic concepts of safety for nuclear power plants Starting with the hazards inherent to nuclear power it has described tools to identify possible accidents in particular the top down and bottom up approaches Real experience has been a powerful driver in the approach to nuclear safety and the Chapter has described seminal historical accidents and lessons learned and as Fukushima has shown learning lessons is an ongoing process We presented risk assessment first in terms of safety goals for acceptable safety performance and then developing the probabilistic tools used to show that the goals have been achieved We then described for CANDUs mitigating systems to shut down the plant remove decay heat and contain fission products in response to the needs identified by both determinis tic and probabilistic analyses We looked at accident phenomenology using a large LOCA as a model and extended this discussion to CANDU characteristics in severe core damage accidents Then we described at a high level the mathematical models underlying the safety analysis codes used to predict plant behaviour in accidents Finally we looked all too briefly at the safety role of the plant operators and indicated the options for the safety characteristics of future designs 10 References Ader 1998 C Ader G Heusener and V G Sn
102. ccident CANDUs also have a primary side system to remove decay heat the shutdown cooling system It is a closed system connected to the reactor headers with its own pumps and heat exchangers Figure 38 It can be brought on line immediately after shutdown at high temperature and pressure STEAM HEAT TRANSPORT HEAT TRANSPORT STEAM GENERATOR at eet PUMP PUMP Se Bis GENERATOR oy ON NPT is y 4 NSO At l t rs z F Nat E 60 60 er d Le TO FROM Se PRESSURIZER P lt gt a C REACTOR OUTLET HEADER BO 3 P3 FES kN i td BLEED PURIFICATION CIRCUIT CONTAINMENT CONTAINMENT SHUTDOWN COOLING HEAT EXCHANGERS SHUTDOWN COOLING PUMPS Figure 38 Shutdown cooling system The emergency core cooling system can be viewed as a decay heat removal system for the special case of a break in the primary cooling system piping We shall cover this system later 5 3 2 3 Moderator and shield tank The moderator surrounding the fuel channels can be used in a severe accident LOCA with loss of ECC to remove decay heat This heat removal pathway is efficient enough to prevent fuel Reactor Safety Design and Safety Analysis 90 The Essential CANDU melting but will not prevent extensive fuel damage and distortion of the fuel channels Figure 39 The shield tank surrounding the calandria see also Figure 39 has its own heat removal system pumps and heat exchangers and can be used in a severe cor
103. ch accidents These design basis accidents DBA are covered in Section 2 As well much knowledge about the risk from nuclear reactors comes from actual experience in both small research and large power reactors Case histories of the most impor tant events which influenced the development of nuclear power reactor safety are covered in Section 3 Lessons learned from these were extracted in the form of specific deterministic requirements which described the accidents that had to be designed for and the assumptions used in showing the safety systems were effective These accidents also became design basis accidents This approach limits risk but does not lend itself to quantifying risk because the deterministic requirements and the design basis accidents were chosen conservatively i e to be worse than what would happen in reality and with little regard to frequency In addition descriptions of these accidents were not complete A parallel approach is to start off by setting numerical risk targets for the plant as a whole safety goals Possible accidents are identified and classi fied using a frequency based approach This probabilistic approach is covered in Section 4 It leads to another list of accidents which overlaps with but is different from the list of design basis accidents We bow to common practice in using this term The term was not used in Canada until recently but has been used for a long time in the United States I
104. chine will boil off the bundles will be uncovered and fuel may fail releasing fission products to containment 6 12 3 Barrier protection A fueling machine failure when off reactor cannot be mitigated by reactor shutdown or ECC the only relevant safety system is containment so that the safety analysis focuses on fission product release from the fuel bundles and containment effectiveness Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 129 6 13 Accident Walk Through Loss of Moderator Inventory or Heat Removal 6 13 1 Initiating event Moderator system failures include moderator pipe break loss of forced circulation and loss of heat removal 6 13 2 Event sequence simplified The moderator does not contain fission products but does contain activation products tritium Failures in the moderator system can therefore release tritium to containment and cause flux distortions if the moderator level falls leading potentially to excess power in some reactor fuel channels before the reactor is tripped 6 13 3 Barrier protection Fuel sheath failures must be prevented by tripping the reactor in case of excessive flux distor tion The containment capability is analyzed to show that it can limit dose to the public from tritium 6 14 Severe Accidents It is useful on CANDU to distinguish two categories of severe accidents 1 Severe fuel damage accidents in which the core geometry is preserved f
105. cidents includes external hazards earthquakes fires torna does tsunamis floods etc The magnitude and frequency of each hazard are site dependent The unique aspect of these hazards is that they can affect more than one system at the same time Design basis accidents also include man made hazards both internal operator error sabotage and external explosions from nearby industrial or transportation facilities terrorism Defining what should be the design basis and beyond design basis for malevolent acts is the respon sibility of the national government 2 7 Problems The reader should have read and understood Chapters 3 4 and 5 on reactor physics before proceeding 1 A laboratory experiment has been set up to determine the critical mass of enriched uranium Two hemispheres of U metal are supported in an unshielded facility by one scien tist Other scientists are in the same room observing A screwdriver is used to slowly push one hemisphere closer to the other while a neutron detector measures the increase in neutron flux as they approach each other Figure 7 This scenario is modelled on but is not quite the same as the Lewis Slotin accident in 1946 LANL 2000 Develop a safety approach using the con cept of design basis accidents as follows a Use both top down and bottom up approaches to define a set of accidents Specifi cally What is the top event that is to be avoided What coul
106. conglomerate were asked to insure the plant what premium would you have to charge to break even over the long term Answer We need to use a common measure of comparison in this case average cost year A contained core melt would require removal of the damaged core decontamination and replacement of the reactor This could take ten years In addition the electricity formerly generated by the plant would have to be replaced Since the accident is stated to be contained we do not add costs for off site decontamination evacuation relocation nor health effects for an accident resulting in a significant release these would have to be considered This means that the Reactor Safety Design and Safety Analysis 16 The Essential CANDU average cost year is using rough ballpark values the problem can easily be made very complex if greater sophistication and accuracy is needed 5 x 10 for decommissioning decontamination 5 x 10 for rebuilding the plant 10 kW x 0 06 kW hour x 24 hours day x 365 days year x 10 years x 10 year 1000 526 year or 1500 year Note the importance of the replacement electricity cost Because accidents cannot be prevented in any significant human endeavour the broad goals of reactor safety analysis are to e Show that the frequency and consequences of accidents are within acceptable limits and or e Show that the frequency of an accident is too small to consider
107. ction 2 e g large loss of coolant accident loss of reactivity control loss of Class IV power etc Each of these accidents contributes to answering the following questions and the limiting value in each case becomes a design requirement for the shutdown system e How is negative reactivity inserted into the core e How fast does the system have to act once it receives a signal e How much reactivity depth must it have how many negative milli k e How reliable must it be e What are the analysis limits that describe effectiveness e What sorts of signals are available and practical to trigger the shutdown system for each accident e What sort of environment must the shutdown system be designed to withstand e How do we ensure that a fault does not affect both the control system and a shut down system Or both shutdown systems e How do we know that the systems will work as designed e How does the operator know that the system has been required and that it has worked We shall cover these topics in turn Many of these questions are common to other safety systems and therefore we shall explore them in detail the first time and simply refer to them later 5 2 1 Mechanical design The most basic part of shutdown design is inserting a neutron absorber into the core Because modern power reactors are large a single absorbing device is generally not sufficient Almost all reactor types use some form of absorber rod multiples of whic
108. ctive on Analyses of Core Damage in CANDU Reactors 24th Nuclear Simulation Symposium Ot tawa Ontario Canada October 14 16 2012 Boss 2006 K Aydogdu and C R Boss Radiation Physics and Shielding Codes and Analyses Applied to Design Assist and Safety Analyses of CANDU and ACR Reactors PHYSOR 2006 ANS Topical Meeting on Reactor Physics Vancouver BC Canada September 10 14 2006 Brooks 1980 G L Brooks and E Siddall An Analysis of the Three Mile Island Accident presented at the CNS First Annual Conference Montreal Canada June 1980 Buell 2003 J Buell J D Dormuth P Ingham and R Swartz RD 14M Facility Description 153 112020 UM 001 2003 also USNRC MLO31690499 Cameron 1996 I Cameron Nuclear Physics and Reactor Theory 1 1 Module 9 Source Neu tron Effects Course given at Chulalongkorn University Thailand 1996 See CANTEACH https canteach candu org Chan 1987 P Chan et al The Chernobyl Accident Multidimensional Simulations to Identify the Role of Design and Operating Features of the RBMK 1000 Conference on Probabilis tic Safety Assessment and Risk Management Zurich Switzerland September 1987 Also Atomic Energy of Canada report AECL 9246 Charak 1995 I Charak and P H Kier CANDU Reactors Their Regulation in Canada and the Identification of Relevant NRC Safety Issues Argonne National Laboratory report NUREG CR 63 15 and ANL 9515 April 1995 prepared f
109. d ECC is connected through parallel paths to each header The reactor physics calculations must be coupled with the system thermo hydraulics code for a large LOCA because the voiding transient determines the power pulse which in turn has a second order effect on the voiding transient Current system thermo hydraulic codes used are CATHENA Hanna 1998 and TUF Liauw 1997 Fuel thermo mechanical models consist of a code for normal operation which predicts the initial fuel conditions before the accident sheath strain fuel to sheath heat transfer coefficient fission gas release initial fuel and sheath temperatures etc and a transient thermo mechanical code for accidents The latter includes sub models for fuel failure mechanisms due to fuel sheath strain beryllium braze penetration sheath embrittlement due to oxidation athermal strain and excessive fuel energy content Because of the need to predict the dose for each accident the models must be able to estimate the percentage of fuel sheaths that fail in Reactor Safety Design and Safety Analysis 104 The Essential CANDU an accident if any and the release of fission products to the fuel channel Codes used include ELESTRES IST for initial fuel conditions and ELOCA IST for transient behaviour Lewis 2009 Under certain circumstances such as a large LOCA combined with loss of ECC injection the pressure tube will overheat and depending on the internal pressure sag or strain into c
110. d Safety Analysis 112 The Essential CANDU Table 11 Some conservative assumptions and parameters Parameter Reactor thermal power Reactor regulating system Radionuclide operating load in the HTS Pressure tube radial creep Steam generators Steam generator tube leak rate Conservative Direction High Normal operation or inactive whichever is worse setback is generally not credited unless it tends to blind the trip Highest permissible operating iodine burden and associ ated noble gases plus any spiking at the time of reactor shut down and end of life tritium concentration Highest expected over the time scale over which the safety analysis is to be valid Clean and fouled cases Maximum permitted during operation plus assessment of any consequential effects due to the accident Rationale Minimize time to use up cooling water inventory minimize margins to critical heat flux etc Choose so as to delay reactor trip Maximize radionuclide release from station and public dose Reduce margin to critical heat flux due to flow by pass around the fuel bundle in a crept tube and increase value of void reactivity Reduce reactor trip effectiveness Increase radioactive material release Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis Parameter HTS flow HTS instrumented channel flow Coolant void reactivity coeffici
111. d Safety Analysis Reactor Safety Design and Safety Analysis 21 consequence if this component fails If systems exist which are supposed to protect the reactor against such a failure what are they and what happens if they also fail Eventually if the power plant is well designed one gets to a very low frequency and draws the boundary between design basis and beyond design basis accidents again This is called a bottom up approach Another term is FMEA which stands for failure modes and effects analysis although this approach tends to be more limited because it stops after the first failure Sample Problem Do a bottom up analysis of the feed water system in a nuclear power plant The reader is assumed to be familiar with CANDU design if not please consult the earlier Chapters in this book Answer The feed water system can fail in a number of ways power to the pumps may fail or a feed water line may break or the feed water valve s may inadvertently close Taking each feed water system component in turn and assuming that it fails we then identify the systems which are there to protect against such failures e g the auxiliary feed water system the shutdown cooling system and the emergency water system these are described in Section 5 We then look at the failure of each of these mitigating systems From these results using judgment to determine frequencies we can select likely candidates for DBAs shown in ovals in F
112. d cause the accidents b How fast do the accidents occur i e what physical process determines the time scale What inherently limits the consequences why don t you get a nuclear bomb c Compare the nature of the hazard to the scientists with that to the public d How could the consequence of an accident be prevented or mitigated e Without any further equipment i e just after it has occurred e With equipment installed beforehand Reactor Safety Design and Safety Analysis 26 The Essential CANDU 3 3 3 neutrons gamma rays EE Screwdriver BRS neutrons gamma rays Figure 7 Criticality experiment 2 Calculate the risk in Sv year to an individual at the site boundary from a not very good reactor designed and operated so it exactly meets the dose limits in a The two classes of accidents in the single dual failure approach b Event classes 1 to 5 inclusive from Consultative Document C 6 c The AOO and DBA limits from RD 337 What conclusions can you draw if you think the comparison is not meaningful explain What relative contribution do the more severe accidents make to the risk 3 Consider the small reactor for urban district heating shown in Figure 8 Snell 1989 Itis intended to be located in urban areas in buildings such as hospitals or universities Currie 1985 Salient safety related characteristics are e pool reactor natural circulation atmospheric pressure
113. d is suppressed by dousing sprays In the long term the air coolers and heat removal by ECC stabilize the pressure This is quite different behaviour from a vacuum containment which will go sub atmospheric once the valves to the vacuum building open and will stay sub atmospheric for days Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 119 6 6 3 100 S 80 d 60 2 s 40 Z 20 0 0 100 200 300 400 500 Time s Figure 56 Containment pressure transient for 100 ROH LOCA Barrier protection For a LBLOCA recall that some sheaths may fail but that the amount of failure must be limited The fuel barrier may be degraded but not to the extent that it jeopardizes the pressure tube barrier The pressure tube barrier and the containment barrier must not fail Further failures in the HTS barrier must be prevented Moreover systems which protect these barriers must not fail This gives rise to the following requirements simplified this is not a complete list for barrier protection which the safety analysis must demonstrate Fluid from the broken pipe will create jet forces and reaction forces can cause pipe whip The effect of these forces on other HTS pipes on the shutdown systems on ECC pipes and on containment must not lead to further barrier failures Continued fuel heating after reactor trip gives a potential for sheath failure due to exces sive sheath strain or sheath embrittlem
114. d safety defences in PWRs and CANDU is summarized for Reactor Safety Design and Safety Analysis 124 The Essential CANDU some typical accidents in Table 13 Relevant coefficients are shown in brackets Table 13 Examples of reactivity response to accidents for PWR and CANDU CANDU Large LOCA Power decrease ECC boration required in Rapid power increase medium term to ensure shutdown terminated by engi void reactivity coefficient fuel temperature neered shutdown reactivity coefficient void reactivity coefficient Cold Water Power increase terminated by a combination Power decrease Injection of inherent feedback and engineered shut coolant temperature down e g boron addition and void reactivity moderator coolant temperature and fuel coefficients temperature reactivity coefficients Main Steam Line Power increase terminated by a combination Power decrease Break of inherent feedback and engineered shut engineered shutdown down possible return to criticality termi required in medium nated by boron addition term moderator coolant temperature and fuel coolant temperature temperature reactivity coefficients and void reactivity coefficients Control Rod Rapid power increase with local power Not physically possi Ejection peaking terminated by combination of ble inherent feedback and engineered shutdown delayed neutron fraction moderator coolant temperature and fuel temperature reactivity coefficients
115. d with a deficient shut down system design led to the large power excursion and the resulting core damage INSAG 1992 indicates that this deficiency was known by designers before the event The power rise failed a number of fuel channels the resulting steam release blew off the top cover and severed the remaining fuel channels effectively exposing the core to the environ ment and by passing the containment The core damage rendered it subcritical although to make sure this was the case the Soviets used helicopters to dump boron into the open reactor structure The graphite moderator when exposed to air and heated by the fuel fragments began to burn and did so for several days until it was smothered by a combination of sand dropped onto the core pit and liquid nitrogen pumped in from underneath The core melted and flowed into the rooms below the reactor vault although this was not realized until some years afterwards when the reactor cavity was inspected remotely and found to be empty A temporary cover the sarcophagus was rapidly built over the damaged structure to prevent radioactive material from escaping and is currently being replaced by a more permanent cover Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 1 Reactor 2 Working channel routes 3 Steam to water pipes 4 Drum separator 5 Steam headers 6 Downcomers 7 Main circulation pumps MCP 8 Group dispensing headers GDH
116. deposited in tissue and the effectiveness of that particular form of radiation in causing damage to cells Chapter 15 provides more detail on this topic Figure 3 gives a perspective on the range of actual doses from normal activities to severe accidents Sources CNSC 2011 Talbot 2003 Lewis 1999 TEPCO 2011 UNSCEAR 2000 Most exposed firefighters Chernobyl Maximum individual staff Fukushima Air crews Canada year Natural background Canada year Maximum individual public dose F Three Mile Island z aSa B i AAEE J J D 7 Z Z 7 7 7 Living near typical CANDU 0 0000001 0 000001 0 00001 0 0001 0 001 0 01 0 1 1 10 100 Whole Body Dose Sv Figure 3 Examples of radiation dose Below about 0 1 Sv per person in a large human population there are no observable stochastic effects Therefore even the most exposed staff members at Fukushima during the accident are not expected to show symptoms of exposure One Sv individual dose marks the onset of acute symptoms and above 5 Sv as received by the firefighters at Chernobyl severe illness and death may ensue Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 13 1 6 1 Linear Hypothesis As discussed in Chapter 15 the linear hypothesis is used to extrapolate the observed effects on human populations exposed to high doses of radiation as in Japanese atomic bomb
117. dose limits were defined for each category of accident The limits were as follows sometimes this is called the Siting Guide Table 1 Single dual failure limits Accident Maximum Fre Individual Dose Limit Population Dose quency Limit Single Failure 1 per 3 years 0 005 Sv 107 Sv 0 03 Sv thyroid 10 Sv thyroid Dual Failure 1 per 3000 years 0 25 Sv 10 Sv 2 5 Sv thyroid 10 Sv thyroid For example loss of reactivity control loss of Class IV power and a loss of coolant accident are all single failures loss of coolant plus failure of the ECC or loss of coolant with failure of the containment isolation dampers to close are dual failures In this framework both single and dual failures are design basis accidents Safety system demand unavailability can be inferred from the frequency limits in this table because a dual failure is a single failure plus unavailability of a safety system and must occur no more often than one in 3000 years each safety system must fail no more often than 1 in 1000 times and therefore the demand unavailability is 0 001 This approach had a number of deficiencies such as lumping events with widely differing frequencies into the same class e g a large pipe break or a loss of coolant accident LOCA and loss of off site power both fell into the single failure category Combinations of higher frequency events were also not addressed 2 5 2 Consultative Document C 6 To address some of the deficienc
118. ds are used during some or all of these stages These are comple mentary not mutually exclusive and in practice all three are used 1 Rule e g use the ASME code for pressure vessel design It is implied that following the code or the standard reduces the likelihood of failure of the material to a very low level This is largely based on long experience testing and more recently analysis 2 Deterministic safety analysis i e assess a prescribed list of failures which are selected based on past experience and judgement Sometimes these are called design basis ac Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 17 cidents as discussed in Section Error Reference source not found Each accident se quence is chosen to be severe enough that the consequences of a real accident should be less this means that only a subset of possible accidents is analyzed For example the Emergency Core Cooling ECC system is sized to provide enough flow to refill the core after a break in the heat transport system that is up to twice the flow area of the largest pipe and on a time scale that prevents excessive fuel damage The consequences of these stylized accidents are predicted and compared against analysis limits Such analy sis limits can be loosely based on frequency 3 Probabilistic safety analysis i e assess the frequency and consequences of failures optimizing to deal with the high risk c
119. e As the reactor comes back to power again the iodine and therefore the xenon gradually build up and the poison can be chemically removed from the moderator or a burnable poison is used i e one which is made into a less absorptive species over time by neutron absorption typically gadolinium If a pressure tube break with assumed failure of the surrounding calandria tube occurs during start up then the poisoned heavy water moderator can be replaced by non poisoned heavy water coolant The amount of positive reactivity that can be added in say the first 15 minutes is dependent on e coolant void in the fuel channels from the fraction of coolant that is lost through the break e fuel temperature due to cooldown of the fuel after trip e clean coolant displacing poisoned moderator e increase in moderator temperature albeit small and slow due to mixing of the hot discharging coolant with cold moderator e decay after shutdown of any xenon that has been formed during on power opera tion Offsetting this is the negative reactivity due to the shutdown systems and eventually the very large negative reactivity due to injection of emergency coolant light water The last effect is not credited in licensing analysis for CANDU although in LWR licensing analysis the reactivity effect of borated ECC must be credited Westinghouse 2011a For CANDU the analysis of the reactivity balance is usually done 15 minutes after the f
120. e Calculations have been done to show that such massive failures are less frequent than 10 per year but such low frequencies must be treated with some skepticism Rare events can happen by unanticipated sneak paths for example a precursor to a pressure vessel boundary failure was the undetected almost through wall erosion of the reactor pressure vessel in the Davis Besse plant USNRC 2002 Similarly historical records make it possible to define the intensity of earthquakes down to about the ten thousand year return frequency which is taken as the design basis earthquake DBE in Canada More severe but rarer earthquakes are hard to characterize One can carry out a seismic margin analysis to calculate the likelihood of surviving an earthquake somewhat more severe than the DBE much beyond that about all one can say is that the effects of damage to the nuclear plant would be A cross link is a failure that affects more than one system or component e g a common supply of instrument air Reactor Safety Design and Safety Analysis 58 The Essential CANDU small compared to the havoc wreaked by such an earthquake on the rest of society as was the case for Fukushima Finally for events resulting from hostile human actions the approach has generally been to design according to rules e g the plant s inherent defences plus the local security force should be able to delay an attack of x people armed with y type of weapons for z minutes
121. e channel the pressure gradient from the pumps is offset by the pressure gradient due to the break The reactor is shut down by either shutdown system 2 sec Containment ventilation paths are isolated The fluid inventory in the channels decreases and flow remains low so that fuel and fuel sheaths continue to rise in temperature The rise is limited by steam cooling Pickering A and B CANDU 6 and Darlington Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 117 Flow kg s Fuel overheating increases the gas pressure inside the sheath relative to the coolant pressure which is falling and can force the sheath to strain Some fuel sheaths may fail The temperature excursion depends on the break size which is traditionally chosen to stagnate the flow in the downstream channels e g 30 40 RIH breaks in Figure 54 200 100 0 100 200 300 400 500 0 10 20 30 40 50 Time s 2090 RIF 2550 RIH 30 RIH 35 RIH 40 RIH ae 1006 RIA Figure 54 Core flow vs break size for a group of channels Containment dousing is initiated and starts to reduce containment pressure In multi unit sites with a common vacuum building valves to the vacuum building open and pressure starts to go sub atmospheric ECC injection is signaled at about 20 seconds Valves on the gas tanks open to drive wa ter from the accumulator tanks into the HTS or high pressure ECC pumps
122. e channel into the reactor vault i e directly into the containment 6 8 3 Barrier protection A fundamental safety requirement of a channel reactor is that a single channel failure must not propagate to other channels otherwise a relatively benign and moderate frequency initiating event could cascade to become a severe core damage accident This conclusion has been supported for CANDU by years of R amp D and code development Shutdown depth must remain adequate accounting for damaged shut off rod guide tubes Moderator pressure increases after an in core break due to the discharge of high enthalpy fluid into the moderator The pressure is relieved by discharge through the four calandria relief pipes which are designed to prevent structural failure of the calandria shell Recent work continues to support this conclusion even when significant amounts of molten fuel have been ejected into the moderator after a severe flow blockage 6 9 Accident Walk Through Loss of Reactivity Control 6 9 1 Initiating event A malfunction in the reactor regulating system RRS is assumed to drain zone controllers drive out absorber adjuster rods or both Two types of accidents are considered continued increase in reactivity at up to the maximum possible rate and to the maximum degree allowed by the physical configuration of the devices and a slow power increase from both normal and dis torted flux shapes that terminates just below the overpower trip se
123. e damage accident e g if a LOCA plus loss of ECC plus loss of moderator heat removal all occur In current CANDUs the shield tank does not have enough heat removal capability 0 3 to match that being generated by the fuel in addition the causes for the failure of ECC and moderator cooling may also have disabled the heat removal capability of the shield tank e g loss of electrical power loss of service water However several current CANDUs and all new ones have installed gravity driven makeup to the shield tank and or the calandria to provide a much longer term heat removal capability 5 3 3 Initiation of decay heat removal Decay heat removal systems can be either automatic or manual based on when they are needed Typically if they are not needed for 15 30 minutes they can be manually initiated e g shutdown cooling system EWS if they are needed sooner they must be automatic e g ECC auxiliary feed water system 5 3 4 Operating pressure A key design choice is the operating pressure of the heat removal system Table 10 summarizes the advantages and disadvantages of high vs low pressure In many cases the pressure is determined by the nature of the design e g the moderator CALANDSEA CALANDFEA END SHIELD SHUT OFF AND CONTROL POOS POISON BECTON FUEL CHANNEL ASSEMBLES FEEDER PIPES VART 2 3 5 6 CANDU 6 Reactor Assembly Figure 39 Moderator and shield cooling Reactor Safety
124. e double walled pool 350 000 litres with a purification system small pump and ion exchange resins outside the pool e 10 MWi th output e forced flow secondary side with a heat exchanger immersed in the pool e tertiary heat exchanger connected to the heating grid why e negative reactivity feedback from fuel temperature coolant temperature and cool ant void e g an increase in coolant temperature decreases the reactivity e active reactor control devices rods with limits on rate a few mk hour compared to say CANDU which can go up to several mk minute and worth no rod in excess of a couple of mk e low fuel temperatures so that there are no free fission products in the fuel e two shutdown systems one passive system actuated by a signal drops the control rods and one fully passive system rods within the core which are thermally acti vated the absorber material inside the rods normally above the core melts and fall Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 27 into the core on high coolant outlet temperature e a confinement boundary not shown in the figure covering the pool top however the building is conventional e no emergency core cooling system why e a licensed operator is not required to be in the control room Any upset sounds an alarm which notifies a local attendant who can shut the reactor down but not re start it Licensed operators can remotely m
125. e is no place to which the heat can radiate Regulatory practice in the United States sets a strict limit on sheath temperature in a design basis accident namely 1200 C which was chosen to allow little possibility of an autocatalytic reaction In CANDU the presence of the colder pressure tube less than a few centimetres from each fuel element moderates the reaction Embrittlement is still a concern but regulatory practice permits calculation of actual oxidation rates and thicknesses rather than setting a criterion based on temperature alone the particular criterion used in Canada is the oxygen concentration in the cladding must remain below 0 7 wt over at least half of the cladding thickness see Grandjean 2008 for a broad review 7 6 Moderator The modelling requirement for the moderator is to predict the transient local water tempera ture at each point The objective is to show that local moderator sub cooling at any location where the pressure tube contacts the calandria tube in an accident is sufficient to prevent prolonged film boiling on the outside of the calandria tube The physical problem is therefore solution of three dimensional fluid flow with heat addition in a porous medium the medium is not continuous because of the presence of fuel channels reactivity devices etc The mass momentum and energy equations described above are therefore generalized to three dimen sions Experimental validation is of course a must
126. e isolation system can be Category D e g a spring loaded valve which fails closed on loss of signal 8 3 3 3 2 Decay heat removal This is an extension of core thermo siphoning The idea is to move the heat into an elevated tank of water To achieve this heat exchangers can be placed in the building with the tube side connected to the tank and the shell side exposed to containment atmosphere This requires two natural convection loops one in the containment atmosphere transporting heat from the core e g steaming from a LOCA to the heat exchangers and one transporting heated water from the heat exchangers to the elevated tank One variation on this idea is used in the AP1000 the metal shell of the building becomes the heat exchanger and the elevated tank trickles water down the outside Westinghouse 2011b 8 3 3 3 3 Hydrogen removal Here passive autocatalytic recombiners can be used These simply offer a catalyst coated surface to the containment atmosphere and as the air steam hydrogen mixture flows through the hydrogen and oxygen are catalytically recombined An alternative is to inert the contain ment atmosphere inherently removing the possibility of hydrogen combustion since there will be no oxygen 8 3 4 Summary This Section has indicated the direction that safety may take in the future Passive safety is attractive because of its simplicity public appeal and aura of high reliability Evolutionary designs have also inc
127. e logic Finally the verified validated codes are used to prepare the safety and licensing analysis procedures for planned or operating plants or to assist in the design of advanced plants This process is shown schematically in Figure 46 Reactor Safety Design and Safety Analysis 106 The Essential CANDU Safety Research and Development Knowledge Plant Transients Figure 46 Code validation process Separate effects must be distinguished from integral tests The former tend to focus on one physical mechanism and are generally small scale Integral tests combine many phenomena expected in the reactor and are generally large scale however the interaction among the phenomena can be complex Hence integral tests are used in the later stages of validation of system models It is not possible within the scope of this Chapter to give a full accounting of all the R amp D facili ties that support CANDU safety technology A few of the major facilities are discussed briefly References are given to enable the student to follow up on any facilities of interest 6 4 1 Reactor physics The ZED 2 reactor AECL 2011 was described in the problem set in Section 2 7 It is a heavy water tank reactor used for fundamental physics experiments on natural uranium and advanced CANDU fuels and lattices It is used for measurements of reactivity coefficients such as coolant void and temperature and generates basic data for validation of physics codes At
128. e produced the number of neutrons in Equation 71 is accompanied by an energy release at 56ns of 1kT E 2 3x10 neutrons x 0 5 fissions neutron x180Mev fission x 2 6x10 MeV 8kT 72 where kT is kilotons of TNT equivalent This is 34 x 10 MJ The reaction is self limiting because the thermal energy causes the core to expand rapidly and stops the chain reaction By contrast in a thermal reactor such as CANDU the largest p 2 from a large LOCA is about 0 011 Z is about 0 001 sec The timescale is measured in tens of seconds rather than nanosec onds and the reaction is terminated by damage to the core lattice after about ten seconds with an energy input of 50 full power seconds The total energy produced for an 1800MWth reactor is therefore 9x104 MJ or more than two orders of magnitude smaller than the value for a bomb 16 Acknowledgments We gratefully thank the following reviewers for their hard work and excellent comments during the development of this Chapter Their feedback has much improved it Of course the responsibility for any errors or omissions is entirely the author s Glenn Archinoff Glen McGee Dan Meneley Terry Rogers We also thank Diana Bouchard for expertly editing and assembling the final copy Reactor Safety Design and Safety Analysis
129. e reactivity and power decrease and is not a safety concern The reactor will trip early in the accident on signals such as high containment pressure if applica ble low steam generator level or low feed water line pressure As the steam generators lose For Bruce and Darlington the steam line runs entirely outside the containment boundary Reactor Safety Design and Safety Analysis 128 The Essential CANDU inventory heat removal from the heat transport system degrades and the operator is required to initiate an alternate heat sink such as the shutdown cooling system Note that because the shutdown cooling system is a high pressure heat removal system the operator does not need to depressurize the HTS before initiating this alternate heat sink in emergencies 6 11 3 Barrier protection The safety assessment must demonstrate that three key requirements are met e The operator has enough time to initiate an alternate heat sink and maintain fuel sheath integrity e For main steam line breaks outside containment in the turbine hall one must assess the design to show that equipment which is required and assumed to mitigate the event if located in the turbine hall is not damaged by the forces the steam or the high tem perature caused by the break nor is there damage to the turbine hall structure e For main steam line breaks inside containment the containment pressure rises rapidly and an additional safety aspect is the preservati
130. e to all accidents and The annual risk of fatal cancer to the most exposed member of the public due to acci dents in a reactor should be small in comparison to his her total annual risk of fatal can cer due to all causes 4 1 1 Risk of prompt death In Canada in 2009 accidents were the fifth leading cause of death over the whole population at a rate of 30 4 deaths for every 100 000 people StatsCan 2009 This means that the average person s risk of death from an accident is 3 x 10 per year note that the rate for males is 50 higher than that for females We could then say that the risk from a nuclear power plant of premature death to an individual should be small compared to 3 x 10 per year say by a factor of 100 this may be too conservative but we will use it for illustration or 3 x 10 per year Because the only way of causing prompt fatalities to the public in a nuclear accident is through a core melt and failure of containment and even that will likely not cause prompt public fatalities given the experience of Chernobyl and Fukushima this suggests that our safety goal should be The likelihood of a large release from a nuclear power plant in an accident should be less than 3 per 10 reactor years Note that to risk prompt deaths a large release by itself is not sufficient it must also be sud den otherwise people can be evacuated beforehand These changes have yielded a goal that can be used i
131. e4 time New technology introduced Figure 11 Learning and forgetting The fact that such chains have occurred provides powerful lessons learned for future designs and current operation In general when any new technology is introduced its characteristics are not fully known and there is an early peak in the accident rate As people learn from mistakes in design and opera tion the accident rate declines as shown in Figure 11 See also Ott 1981 for a more detailed discussion The decline does not however account for organizational forgetting and if nothing is done to preserve corporate or industrial memory the rate will start to rise again One of the purposes of case studies is to ensure that past mistakes are not repeated What you are expected to obtain from this section is the ability to dissect an accident What Reactor Safety Design and Safety Analysis 32 The Essential CANDU was its nature What were the root causes What were the lessons learned for design For operation The exercises at the end of the chapter give you some additional actual incidents to assess You should have read and understood Chapters 3 4 and 5 on reactor physics before proceed ing Each of the case studies described below gives a brief description of the facility the event and lessons learned These are all of necessity very abbreviated In particular of the dozens of lessons learned only
132. eaced ods a raa dovbq vdel acndodsdeaneiehnndedeesdoote 10 Figure 3 Examples of radiation dose cccccccesssececesssecececseeaececssaeeecseseneececssasececsesueeeeeeseneeeeesaaes 12 Figure 4 Fuel element cross section showing location of fission products cccceeeesesteeeeeeeees 14 Figure 5 Simplified top down Approach csssccecesssecececsseececssseeecseseeeeceessaaececssueeecseseneeeseenaes 20 Figure 6 Simplified bottom up example 0 cecccessessssecececeeeceesesseseeececeessseseaeseeeesesseesesseaeeeeeeeens 21 Figure 7 Criticality Experiment aniren S E chaste dees ves ae eee aes es 26 Fig re 8 SES IO sonoran shee a E EEE atic RA tbem detonate ARRA R dette ae ae 27 Fig r 9 ZED 2 CUtAWAY e neaei taana erada oaaae aaa a aa o aAA rA duct a aa daa lanai 29 Figure 1O ZED 2O VIEW TEETE EE ET TEUTA TETA E 30 Figtire 11 Learning and forgettihg eenas nirani e EE ea EA EEEE AENT EA EES aS 31 AE A P E N CULAWAY EA A E E E E A A A tetaaseoeees 34 Figure 13 NRX fu lcr sssecti N manae eea aa Ea aa aa a A a a a i aaa Tai 36 Figure 14 NRX l vatioNn snie reene nei nenn n a a e E R e S 37 Figure 15 RBMK schematic diagram ccccccccccccsssessssecececeesceesesseaesesececsssesssaeseseesesenesnsseaseeeeeeens 41 Figure 16 RBM E reactor a a a aAa oles a a a iaia 43 Figure 17 Reverse shutdown in RBMK ccccccccessessssecececeescessesseaeeeceeeeessessaeseeeeeesseesesseaeeeeeeeens 44 Figure 18 RBMK building cross sectio
133. each failure mechanism e g Tue lt 2800 C is a parameter limit no fuel melting which will prevent one mechanism of failure of the pressure tube barrier through local strain More conservative surrogate criteria are chosen if the parameter limit is uncertain Analysis limits are chosen to ensure that the parameter limit or surrogate criterion is met This framework along with the use of conservative assumptions and data in the safety analysis gives the margin to the barrier failure point as shown in Figure 44 Reactor Safety Design and Safety Analysis 102 Safety Analysis Result The Essential CANDU Pc Surrogate Parameter Limit criterion Limit Note There is no a priori requirement for non zero margins if the parameter limits and surrogate criteria are chosen appropriately and the safety analysis uncertainty is known or bounded Figure 44 Margins Of necessity many assumptions about plant operation are made in safety analysis These are usually chosen to envelop actual or expected operation for example safety analysis will use a maximum bundle power that is greater than that expected in operation The plant must oper ate consistently with the assumptions in the safety analysis The operators therefore define a safe operating envelope SOE of parameters under operational control Operating the plant within this envelope ensures consistency with the safety analysis assumptions and incidentally provides another marg
134. eactor Safety Design and Safety Analysis 79 spring loaded which accelerates them over the first few feet of travel Mechanically the rod is suspended on a cable running over a pulley which is released by a clutch and wound back up by a motor The rod itself falls into a perforated guide tube within the moderator the purpose of the guide tube is to make sure that the rod falls straight in and does not tip over or snag Shutdown System Number 2 Shutdown System Number 1 Reactor Valve Normally Open Valve Normally Closed Figure 33 CANDU shutdown systems Shutdown System 2 consists of a liquid neutron absorber gadolinium nitrate which is injected directly into the moderator water through perforated metal tubes The liquid is accelerated by gas pressure from a common helium tank which pressurizes one poison tank per nozzle as shown in Figure 33 The system is actuated by opening the fast acting valves connecting the helium tank to the poison tanks A disadvantage of this system in case of a spurious trip is that because it injects poison into the moderator water the poison must all be removed chemically by ion exchange before the reactor can start up again a process that takes almost two days Note that there are no normally closed valves between the poison tanks and the moderator for reliability reasons As a consequence of this however poison gradually diffuses toward the core down the pipe and must be back flushed from time to ti
135. ec 34 msec Water slams against lid of vessel Maximum pressure 10 000 psi 700 atm Head shielding ejected Plugs ejected with velocity of 85 ft sec 26 m sec or less Vessel rises shearing connecting pipes Guide tubes collapse Nozzles and vessel expand 160 msec First plug hits ceiling Two thirds of water expelled 5 10 of fission products expelled Vessel hits ceiling Total kinetic energy involved 1 of total energy released Insulation ripped from vessel 2000 4000 Vessel comes to rest in support cylinder msec 3 1 1 3 Lessons learned The philosophy of reactivity design is vitally important The fuel in SL 1 had boron strips at tached to the fuel these were supposed to burn up with the fuel to keep the core reactivity within the control range of the control rods These strips had burned up faster than planned and in addition pieces of boron had fallen off the fuel during operation The net result was that the core became more reactive to the point that it could be made critical with four rods fully in the core and the central one partially withdrawn The criticality position of the central rod at the time of the accident was 16 7 inches withdrawn the extra 4 inches that the rod was with drawn above this value added more than four times the delayed neutron fraction giving a reactor period of 4 msec Clearly once the transient had started no operator action and no Reactor Safety Design and Safety Analysis 36
136. ececeeeesssessnseseeeeeesssssseseaees 125 6 9 Accident Walk Through Loss of Reactivity CONtIOl cc cccsccccecessessssececeeeesessssnseaeees 126 6 10 Accident Walk Through Loss of Forced Circulation cccccccccccccessesssseceeeeeeesessssseaeees 127 6 11 Accident Walk Through Loss of Secondary Side Heat Removal s cccccccssssssssreees 127 6 12 Accident Walk Through Fuel Handling Accident ccccccssececessseeeecseeeeeesesaeeeesssteeeees 128 6 13 Accident Walk Through Loss of Moderator Inventory or Heat Removal 00008 129 6 14 Severe Acidente ier actarradalaure wa EAE TEE A TEE 129 615 Problem Siinne ea aa aa EAE E a A AEA EA a EAE E 134 Safety Analysis Mathematical Models c c cccccccscsssessssecececeesssessneseseeseseessesssaeeeeeeeess 135 TAs LETeo A A NE AE EE E E TE E E A EESE 135 Te Decay POW iienaa a a eaae Te a a aa a a e a a eea aaa 136 Ta Felene saa EAS A SAKE AAS EE 137 74 Heat Transport System an a a a aa A e a a Ra 141 7 5 F elChannelS arant erretena anena rataan Sen AAE AAE EEAO EA aLa ue daregades 143 7 67 Moderator ah canes set eater tes T AA e ATE A T T S 145 TEP CONTAINIMGM bss ieina a a a r a a a 145 7 8 Fission Products Atmospheric Dispersion and DOSC cssccccessssteceeeesteeecseseeeeeeeeeaaes 146 WOY Proble mnSa iiare a ae ei EEE TERE Na PAE E EE TEE Eh 149 Safety OF Op ratiON teers aieisiecscevtededgeebinlateied a e a a an a a tele 150 Bel Safet
137. ecessessaecececeesceesesesececeeecesseseuseseseeeesseeseaeaeeeeeeeens 79 Figure 34 Xenon transient after shutdown and start up ceecesececeesseeeeecseaececessaeeeeessteeeeeeseaaes 81 Figure 352 3 108i Chanae a E a eae eee bien ten A E E EEA Aas 85 FIZUre S6 SDS2 testing aiaee aada aaaea Ea aae iaaa nE dees cdatstidadisdeatclaceelescsss 86 Reactor Safety Design and Safety Analysis 4 The Essential CANDU Figure 37 Bundle power after shutdown cccccecsessssecececececeesesnsecececeeeseeseuaeaeeeeeescesseseaeeeeeesens 88 Figure 38 Shutdown cooling system ccccccccccececsssessnecececeesceeseeaeeeseeeesseesssaeseseeeeseessesssaeeeeeeeens 89 Figure 39 Moderator and shield cooling ccccccccsesssscecececesessesneaeeecececessesssaeaeeeeeeseeesesssaeeeseeeens 90 Figuire 40 ECE layOUt mennaan a a cassia edetesatestad este ddcashdeteogsidedeseneta Taas 92 Figure 41 Three phases Of ECO nne ana n a a a a a a n a riaa 93 Figure 42 Singl nit ontainmenter sanea A aa 95 Figure 43 Vacuum containment concept sssssssssssrrrrssssssertrrrersssssstrrrerssssestrreeresssssrereereessssene 96 Fig re 44 MargiNS oipe enton agiia etiaai ta aaa adaa aeaa aCA Oaa CALA EAA A A CEA LEEREN 102 Figure 45 Safetysanalysis GOGGS saeccccser soeveeacun deed ena a EE E AEEA EE 105 Figure 46 Code Validation Process maisena aE Ea a O E E a aie 106 Figure 47 RD 14M SChe Matic cccccccsesssscececeeecsesesseseeeeeeecsssesseseseceeeesceu
138. ected and mixed with the moderator The reactivity depth requirement is set by the accident which inserts the greatest positive reactivity For CANDU this is not the large LOCA but a small LOCA specifically a pressure tube break followed by an assumed calandria tube rupture Why When a reactor is operating at full power nega tive reactivity load is present due to xenon a neutron absorber which is formed from the decay of iodine which in turn is formed from the fission product tellurium as follows Te gt lt 1min gt tI 5 6 7h gt Xe 99 2h gt Cs gt Ba stable where the times represent half lives The xenon load in a CANDU at full power is approximately 25 mk and has to be compensated for by positive reactivity from the fuel to keep the reactor critical When the reactor is suddenly shut down the xenon decays more slowly than the iodine so that the absorption due to xenon initially increases to about 40 mk then decreases as the iodine decays away Figure 34 es 100 30 ia Transients after shutdown from power ao and restart Powe gt e end a o i dete port Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 81 Figure 34 Xenon transient after shutdown and start up After a long shutdown the xenon load is small so that poison is added to the moderator to compensate for the absent xenon load because the normal control system does not have the required negative rang
139. ed as a back up to perform this safety function The shutdown mechanisms in CANDU act mostly within the moderator which protects them from some of the effects of accidents but not all For example we must design so that e no high energy pipes are within striking distance of the reactivity mechanisms deck on top of the reactor where the shut off rod clutches and pulleys are located e anin core break cannot disable shut off rods to the extent that the system does not meet its reactivity depth requirements it is not possible to protect all the guide tubes and rods from pipe whip and jet forces from an in core break e shutdown system cables and instruments are separated to the extent practical so that a local fire will not incapacitate both shutdown systems e steam high temperatures water and high radiation fields from an accident must not prevent a shutdown system from firing when needed once it has fired however such protection is no longer needed e shaking due to an earthquake must not prevent the shutdown system from actuating nor slow it down so severely that it cannot meet its analysis limits 5 2 8 Common cause failures We gave an example earlier where a single cause fire could disable more than one system This is a serious challenge to the protection provided by seemingly independent systems Known common cause failures can be designed out but to cover the possibility that we cannot anticipate them all a two gro
140. eir provi sions for both Design Basis Floods and Beyond Design Basis Floods We shall cover key historical events in more detail in Section 3 2 5 Canadian Approach to DBAs We do not have space to cover the entire historical development of the Canadian approach to DBAs See Snell 1978 for an overview Instead we shall describe the basis for selection of DBAs for currently operating CANDUs and planned future plants 2 5 1 Siting guide In 1972 D G Hurst and F C Boyd of the Atomic Energy Control Board AECB the name at the time of the nuclear regulator now CNSC laid the ground rules for the deterministic licensing guidelines under which all large operating CANDU plants up to but excluding Darling ton have been licensed Hurst 1972 The spectrum of possible design basis accidents was collapsed into two broad categories single failures or the failure of any one process system in the plant and dual failures a much less likely event defined as a single failure coupled with the unavailability of either a shutdown system or containment or the emergency core cooling Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 23 system these constituting the so called special safety systems For each category a frequency and a consequence limit was chosen that had to be satisfied In addition to deal with the siting of a reactor Pickering A next to a major population centre Toronto population
141. el calandria to in reactor probes The most sophisticated experiments have taken place at Chalk River Laboratories in the Moderator Test Facility which is a one quarter scale CANDU calandria containing 480 heaters to represent the 480 channels in the Bruce Darlington design The facility can measure a grid of local tem peratures and local flow velocities in three dimensions Reactor Safety Design and Safety Analysis 108 The Essential CANDU 6 4 5 Fuel channel thermo mechanical behaviour One of the advantages of the pressure tube concept is that channels can be tested at full diameter The phenomena exhibited during pressure tube strain to contact the calandria tube for large LOCA or LOCA LOECC have been examined using full diameter channels in which the pressure tube is internally heated and expands under pressure The entire pressure tube calandria tube assembly is immersed in a water environment which represents the moderator Figure 48 Sanderson 2003 Busbar t e E Busbar Figure 48 Contact boiling tests By controlling the internal pressure heating rate and moderator temperature a map can be derived of the regions of heat transfer on the outside of the calandria tube just after pressure tube contact Figure 49 which can be used to validate the channel thermo mechanical codes Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 109 ENTE Suet ACE m hm BOING Q PATCHES
142. ell Strategies for the Prevention and Mitigation of Severe Accidents AEA International Symposium on Evolutionary Water Cooled Reac tors Strategic Issues Technologies and Economic Viability IAEA Paper No IAEA SM 353 16 Korea 1998 AECB 1980 Atomic Energy Control Board Requirements for the Safety Analysis of CANDU Nuclear Power Plants Consultative Document C 6 Proposed Regulatory Guide June 1980 AECL 1976 R E Kay J W Hilborn and N B Poulsen The Self Limiting Power Excursion Behaviour of the Slowpoke Reactor Atomic Energy of Canada Limited Report AECL 4770 January 1976 AECL 2005 Atomic Energy of Canada Limited CANDU 6 Technical Summary May 2005 Primer on CANDU 6 design Reactor Safety Design and Safety Analysis 160 The Essential CANDU AECL 2011 ZED 2 User Facility Proposal Package AECL report ZED2 123110 REPT 001 Revision 0 May 2011 Andreani 2010 M Andreani and D Paladino Simulation of Gas Mixing and Transport in a Multi Compartment Geometry using the GOTHIC Containment Code and Relatively Coarse Meshes Nuclear Engineering and Design Vol 240 No 6 pp 1506 1527 2010 Blahnik 1991 C Blahnik et al Modular Accident Analysis Program for CANDU Reactors Proc 12th Annual Canadian Nuclear Society Conference Saskatoon Saskatchewan Can ada June 9 12 1991 pp 235 242 Blahnik 2012 C Blahnik M J Brown T Nitheanandan and S M Petoukhov Perspe
143. ence assuming a rapid shutdown after equilibrium operation In most cases the evolution of the accident because it is short does not materially change the decay power so that the results Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 137 from the fundamental calculation can be fitted using a series of exponentials and the curve fit is simply added to the fission power predicted by the physics codes In exceptional cases such as an accident occurring during power manoeuvring the result will not be very accurate but as with any analysis an upper bound can be assumed e g assuming the decay power appropriate to prolonged steady state operation at the maximum operating power level before the acci dent Such a trade off between simplified assumptions which give a conservative bound to an answer and more realistic assumptions which require more sophisticated analysis tools is very common in safety analysis Because safety analysis resources like all other resources are finite part of the art of safety analysis is in judging when to use bounding assumptions and when to use realistic complex models The difficulty is of course that bounding models may lead to unnecessary restrictions on operation as discussed in Section 6 2 7 3 Fuel The key safety parameters related to fuel are e fuel sheath integrity e fission product inventory in and release from the fuel and e fuel temperature Predict
144. ent Fuel loading Shutdown system SDS2 injection nozzles SDS1 shut off rods Maximum channel bundle power Conservative Direction Low High High Low Equilibrium Fresh Back up trip on less effective shutdown system using the last of three instrumenta tion channels to trip Most effective nozzle unavailable Two most effective rods unavailable High Rationale Reduce margins to critical heat flux Reduce low flow trip effectiveness Maximize overpower transient Delay HTS high pressure trip Maximize fuel tem peratures radioactive material releases Maximize overpower transient Delay shutdown system effectiveness Reduce shutdown system reactivity depth Reduce shutdown system reactivity bite and depth Earliest time to dryout and maximize fuel and sheath temperature 113 Reactor Safety Design and Safety Analysis 114 The Essential CANDU Parameter Conservative Direction Rationale Reactor decay power High Minimize time to use up cooling water inventory Initial flux tilt High Maximize fuel and sheath temperatures Moderator initial local maximum Low Minimize margin to sub cooling critical heat flux on calandria tube Number of operating containment Low Maximize containment air coolers and other heat sinks pressure High Delay high pressure trip and maximize likelihood of hydrogen combustion due to rapid condensation of steam Containment
145. ent and for channel flow area reduction due to sheath strain Sheath failures must be limited to meet public dose limits sheath failure modes such as embrittlement or severe channel flow blockage must be prevented to protect the pressure tube barrier i e to maintain coolable bundle geometry Fuel melting must be prevented to protect the pressure tube barrier Pressure tubes may overheat and strain or sag until they contact the calandria tube Failure of the pressure tube before contact with the calandria tube must be prevented After contact heat transfer to the moderator must be sufficient to prevent failure of the channel barrier The containment barrier and its internal structures must not be jeopardized by excessive internal pressure Reactor Safety Design and Safety Analysis 120 The Essential CANDU These requirements for barrier protection can be translated into analysis limits as discussed earlier A detailed list of analysis limits is outside the scope of this Chapter 6 6 4 Anote on reactivity coefficients A large LOCA is the limiting accident in terms of shutdown system speed This is due to the positive void coefficient and more specifically to the rapidity with which void is produced in a large LOCA CANDU has sometimes been criticized for its positive void coefficient by contrast a LOCA in an LWR shuts the reactor down due to loss of the common coolant moderator How ever a broader perspective is more useful The follo
146. ents such as large LOCAs contribute very little and hence are much less risk significant Loss of feedwater Pressure Tube Rupture Loss of Instrument Air General Transient Small Steam Line Failure End Shield Cooling Failure Figure 30 Contributors to SCDF for CANDU 6 4 3 Problems 1 What can you say quantitatively about the probability of a pressure tube calandria tube failure in a CANDU based on that fact that only one has occurred You will need to calculate the number of reactor years of experience with CANDU operation Use Bayes Theorem 2 Two 100 electrical motor driven auxiliary feed water pumps are located in the turbine building and depend on recirculated cooling water and two independent power supplies They have the flow capability to mitigate steam and feed water line breaks Identify common mode and common cause failures The utility wants to extend the life of the plant and is planning refurbishment What mitigation features or modifications would you include to reduce or eliminate these failures 3 Develop a set of high level safety goals for a military use nuclear submarine They can be but do not have to be numerical The most important part of your answer is to explain and justify it not whether or not it matches someone else s official goals Consider any differ ences due to docked versus at sea and peacetime versus war 4 Small reactors could be used in remote northern communities for
147. er struc containment by check valve tural parts For many passive designs even those for which the execution is passive the actuation may involve an electrical signal Part of the justification for this is that such signals are highly reliable and can use backup power from batteries if main power fails Note that even some valves can be actuated on battery power However details of how this is implemented are being revisited after Fukushima 8 3 3 Passive safety desiderata A passive design strives to ensure that the three major safety functions other than monitoring Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 157 can be carried out in a passive or pseudo passive manner Recall that these functions are to shut down the reactor to remove decay heat and to contain any fission products We describe in general terms how each of these might be accomplished 8 3 3 1 Shut down the reactor CANDU shutdown systems are passive in the sense that once they are actuated by a signal the devices themselves are inserted into the core by gravity shut off rods or stored energy spring assist to the shut off rods and gas driven poison injection This places them into IAEA Category D above More passive approaches could be developed based on change in material properties with temperature e g a shutdown system consisting of tubes inserted into the reactor with a low melting point neutron absorber wi
148. es 5 2 7 Operating environment A safety system must be able to function in or be protected from the conditions caused by an Typical Trip Signals High neutron flux High log rate of neutron flux High heat transport system pressure Low heat transport system flow Low core pressure drop High heat transport system pressure High neutron flux High neutron flux High log rate of neutron flux High containment pressure Low heat transport system flow Low heat transport system pressure Low pressurizer level Low heat transport system flow High containment pressure High moderator level Low heat transport system pressure High heat transport system pressure Low feed water flow Low steam generator level Low HTS pressure Low pressurizer level Low steam generator level Low feed water pressure High containment pressure For plants where portions of the steam mains are within containment Reactor Safety Design and Safety Analysis 84 The Essential CANDU accident If it is not possible to meet this requirement then a redundant system is needed For example a major fire in or near the main control room would require shutdown because it could affect the control computers and at the same time would possibly damage some of the components of Shutdown System 1 so that it would not respond although it would very likely fail safe and therefore SDS2 which does not depend on the integrity of the main control room is us
149. ety Analysis 82 The Essential CANDU e the number of tests that would be needed to establish such an unavailability e the suspicion that unknown cross link effects and common cause failures impose a lower limit on the unavailability of a single system If each shutdown system has an unavailability of 10 per demand then one is tempted to say that the unavailability of both systems together is 10 per demand This is true only if the systems are sufficiently independent and diverse that they are not subject to common cause failures See Section 13 Recent CANDUs have used software for both SDS1 and SDS2 Software can be more reliable than relay logic but its failure modes can be subtle so that while testing in operation is impor tant much more emphasis must be placed on software design to avoid subtle and common cause failures Methods include a rigorous development process diversity in development tools and platforms simple programming logic and strict independence between the software engineers responsible for designing each shutdown system In CANDU the control system software is completely independent of and separate from the shutdown systems software and in current CANDUs they run on independent hardware platforms 5 2 5 Analysis limits Analysis limits are used to judge the effectiveness of shutdown Trip signals are chosen to reduce the challenge to the fuel and to downstream safety systems in other words to prevent or pos
150. exposed to air at moderate temperatures in this case oxidation to higher states takes place and the grain structure is destroyed Much of the fission products are then released Such a circumstance could occur after failure of an end fitting and ejection of the channel contents into the reactor vault As temperature and fuel burnup increase the amount of fission gas in the gap increases Reactor Safety Design and Safety Analysis 138 The Essential CANDU to a maximum of about 10 for typical CANDU operating conditions Lewis 1990 At any given burnup a larger fraction of the fission product gases is released near the centre of the pellet where the temperature is highest All volatile fission products tend to migrate down the temperature gradient toward the outside of the pellet Their diffusion is assisted by the fact that the pellet cracks under the influence of the temperature gradient this cracking increases with fuel burnup and pellet centre temperature In summary a at low burnup or temperature nearly all fission products are trapped in fuel grains b fission products trapped at grain boundaries increase with temperature and burnup c the gas gap inventory increases steadily with fuel temperature and burnup 7 3 2 Fuel temperatures Consider three dimensional steady state heat conduction in a medium Assuming that energy is being produced in the medium at a volumetric rate H energy conservation can be stated as Rate
151. f significant quantities of radioactive material within an installation with high probability of significant public exposure Reactor Safety Design and Safety Analysis 154 The Essential CANDU Description People and the environ Radiological barriers and Defence in depth and INES ment controls at facilities Level Serious Exposure in excess of ten Exposure rates of more Near accident at a Incident Level times the statutory than 1 SV h in an operat nuclear power plant with 3 annual limit for workers ling area no safety provisions Non lethal deterministic Severe contamination in remaining health effect e g burns an area not expected by Lost or stolen highly from radiation design with a low prob radioactive sealed ability of significant public source exposure Misdelivered highly radioactive sealed source without adequate radiation procedures to handle Incident Exposure of a member of Radiation levels in an Significant failures in Level 2 the public in excess of 10 operating area of more safety provisions but mSv than 50 mSv h with no actual conse Exposure of a worker in Significant contamination quences excess of the statutory within the facility into an Found highly radioactive annual limits area not expected by sealed orphan source design device or transport package with safety provisions intact Inadequate packaging of a highly radioactive sealed source Anomaly Overexposure
152. ficant core degradation is less than 10 per reactor year 2 Low Release Frequency The sum of frequencies of all event sequences that can lead to a release to the environment of more than 10 Becquerel of iodine 131 is less than 10 per reactor year A greater release may require temporary evacuation of the local popu lation 3 High Release Frequency The sum of frequencies of all event sequences that can lead to a release to the environment of more than 10 Becquerel of cesium 137 is less than 10 per reactor year A greater release may require long term relocation of the local popula tion Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 57 This is largely consistent with international practice for new reactors with one new concept the low release frequency It is intended to address those accident scenarios which may result in small but significant releases These accidents may require emergency measures such as sheltering or short term evacuation of an area around the plant and the low release frequency sets a limit on these Rzentkowski 2013 An approach to safety based only on a safety goal has both benefits and limitations The greatest benefit is that risk based decisions require greater levels of protection on those areas of greatest risk and conversely i e they optimize safety resources Some limitations are e To determine compliance with a risk target all significant events
153. gure 22 BWR Mark 1 containment 3 2 3 2 The event At 14 46 on Friday March 11 2011 a magnitude 9 earthquake took place off the eastern coast of Japan The earthquake occurred at a depth of 24 km and initiated a tsunami which was estimated to be 14 m high when it hit Fukushima approximately 40 minutes later followed by multiple additional waves The measured on site accelerations due to the earthquake were greater than the design basis for Fukushima but less than the design basis for Fukushima II Although the earthquake caused significant on site damage and loss of all off site electrical power in both stations all operating units were automatically shut down and the emergency diesel generators started and functioned until the tsunami hit The design basis tsunami for Fukushima was O P base level 5 7m the actual height was O P 14 15 metres Figure 23 shows a cross section of the station and the flood level Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 51 Ocean side Main building area area Assumed highest Safety measures has Inundation height Reactor building tsunami water level taken against 5 7m apx O P 14 15m O P 5 7m Tsunami height Turbine building Site level O P 4m Di pump Water intake Site level O P 10m Units 1 4 Site level on Units 5 and 6 is O P 13m Figure 23 Design basis versus actual flood level The emergenc
154. h active or passive means usually the first line of defence is assumed to function properly in determining the grace period Therefore the grace period for loss of feed water in first generation CANDUs is about 30 minutes because after this period the operator must manually valve in an alternate heat sink For new CANDU designs the grace period is extended to days through use of automatic steam generator depressurization followed by automatic connection of the elevated reserve water tank to the steam generators For modern reactor designs evolutionary or passive a grace period of three days for most single failures is expected 8 3 2 Categories of Passive Safety Very few systems are totally passively safe To recognize the range of possibilities the IAEA IAEA 1991 defined four categories of passivity as summarized in Table 17 Table 17 Categories of passive safety characteristics Characteristic Category A Category B Category C Category D Signal Inputs of Intelli No No No Yes gence External power sources No No No No or forces Moving mechanical No No Yes Either parts Moving working fluid No Yes Yes Either Example Barriers such Heat removal Rupture disk Shutdown as fuel clad by natural or spring Systems 1 and containment circulation to loaded valve 2 in CANDU core cooling heat exchang for overpres relying only on ers in water sure protec radiation or pools from tion accumu conduction to the core or lator isolated out
155. h are inserted vertically into the core In most reactors in the world the rods do double duty being driven in and out of the core for control purposes and being driven or dropped in rapidly for shutdown purposes CANDU however separates the control rods from the shut off rods as one of the lessons learned from the NRX accident The first CANDU shutdown system was moderator dump large valves at the base of the calan dria would open and the moderator would drain out of the calandria vessel under the action of gravity somewhat like the ZED 2 design The system would be re poised by closing the valves and pumping the moderator back into the calandria NPD Douglas Point and Pickering A used this system Pickering A also used a few shut off rods which fell in by gravity The moderator dump system was and is highly reliable but is somewhat slow compared to shut off rods especially for larger cores and in addition removes a source of water surrounding the fuel channels which could be used in an emergency we will discuss this later Modern CANDUs have two separate shutdown systems rods and poison injection Figure 33 from AECL 2005 Specifically Shutdown System 1 for CANDU consists of 26 or 28 shut off rods normally suspended above the core and released on a signal They act in the moderator between the rows of pressure tubes as can be seen in Figure 33 They fall in by gravity and are Reactor Safety Design and Safety Analysis R
156. hat the pipe break is instantaneous an assumption which bears little relationship to reality but is selected to ensure conservatism in that it maximizes the predicted coolant voiding rate and hence the coolant void reactivity insertion and reactor power pulse This in turn presents the greatest challenge to shutdown system effectiveness Reactor Safety Design and Safety Analysis 116 HTS Pumps 1 Pump Suction 2 Inlet Header 6 6 2 The Essential CANDU Steam Generators Feeders Reactor Fuel Channels Figure 53 HTS layout Event sequence simplified A large HTS pipe break is postulated to occur instantaneously Steam discharges to containment causing a rise in containment pressure and tempera ture HTS pressure drops rapidly causing a rapid decrease in local saturation temperature Fuel channels downstream of the break experience flashing rapid boiling Fuel sheaths may dry out The reactor power rises quickly due to the positive void coefficient causing a rapid in crease in fuel and sheath temperatures Note that there are inherent limits to the speed of voiding which are set by the subdivision of some CANDUs into two separate PHTS loops by the fluid inertia in the fuel channels and by the arrangement of each loop of the PHTS in a figure of eight configuration For further reading on this topic see Popov 2013 Flow in the downstream channels falls due to the change in pressure drop across th
157. have more than two inputs In more detail the steps in drawing and then calculating a fault tree are e Start at the top from the undesired event e g loss of feed water e Carefully define the boundaries of the system to be evaluated e Using the principle of immediate cause draw the tree downwards using AND OR etc Boolean logic e Stop at basic events for which we can no longer decompose the event or when we arrive at a point where we know the probability of failure e g failure of a relay e Assign probabilities to each event in the tree e Calculate the Boolean algebra to determine the numerical probability of failure of the top event Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 69 The last step is not conceptually difficult but the amount of arithmetic can be huge It is almost always done using special purpose codes for all but the simplest of fault trees One test of a properly drawn fault tree is that causality cannot pass through an OR gate if it does an AND gate is missing For an OR gate the input faults are never the causes of the output fault they are identical to the output but more specifically defined as to cause For an AND gate there is a causal relationship between the inputs and the output the input faults collectively represent the causes of the output fault There are additional types of gates which we will not cover here The U S Nuclear Regulatory Com
158. he steam generators has boiled away This takes about half an hour so that the heat removal capability of the auxiliary feed water pumps is typically about 4 Note that if Class IV power is unavailable the steam cannot be condensed and the heat is removed by steaming to atmosphere from the steam generators either through the atmospheric steam discharge valves ASDVs with a ca pacity of about 10 of full power steam flow or through the main steam safety valves MSSVs with a capacity of about 115 of full power steam flow After an hour or more the water in the feed water train will be used up and the operator will have to establish another heat sink In some CANDUs the dousing tank located in the top portion of the containment can supply a long term source of water by gravity to the steam generators In others an ele vated tank outside containment the boiler emergency cooling system or BECS per Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 89 forms this function e Most recent CANDUs have a seismically qualified source of water e g a large pond for use after an earthquake This emergency water system EWS has its own seismically qualified power and pumps and can supply water independently to the steam genera tors for about three days 5 3 2 2 Primary side heat removal Because many of the options for secondary side heat removal are valid only for a limited period of time after an a
159. heating and electricity production They would replace very expensive diesel generators the fuel for which has to be flown in whereas the reactor could be designed to be refueled once in twenty years Small reactors have also been used for powering unattended remote military installations Propose Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 75 safety goals for each case with reasons 5 Assuming that the small LOCA frequency is 10 per year work out the frequency of core damage in Figure 29 Use P1 P2 P3 10 6 Simple fault tree a A system consists of two redundant trains as shown in Figure 31 i e 2 x 100 connected in parallel If the probability that each component P1 P2 V1 V2 works successfully is 0 9 what is the reliability of the system Write out the Boo lean algebra in full To achieve a reliability of 0 99 what would the reliability of each component assumed to be all the same have to be List any assumptions b Now do the same calculation without the cross tie c The cross tie looks like an obvious thing to do Think of some engineering disad vantages to the cross tie Hint what might happen if one pump fails to start How would you fix the design What impact would your fix have on reliability Figure 31 Simple fault tree exercise Reactor Safety Design and Safety Analysis 76 The Essential CANDU 5 Mitigating systems In previous sections we have referred t
160. his high pressure phase is supplied by electrically driven pumps because the reliability of Class IV power tends to be very high it can be obtained from other operating units as well as the grid Medium pressure injection takes over when the high pressure water tanks are nearly empty It uses medium pressure 1 MPa pumps and draws cold water from the dousing tank or a similar reservoir It pumps this water into the same locations all headers as the high pressure ECC The medium pressure phase ensures that enough water has collected in the basement of the containment building before the next recovery phase starts In recovery injection the medium pressure ECC pumps are switched over to take water from the sump in the basement They pump this water through dedicated ECC heat exchangers before returning it to the heat transport system This phase is the long term heat sink Figure 41 shows the three phases schematically for a large LOCA 1600 1400 1200 So o So HTS Pressure psia 400 200 Time min Figure 41 Three phases of ECC 5 4 4 Other Functions There are two further functions that ECC must perform loop isolation and crash cooldown Loop isolation simply closes the valves connecting the two heat transport system loops for some CANDUs which have two loops It limits most of a LOCA to one loop In addition for a LOCA with loss of ECC injection loop isolation which is an i
161. ic Bomb Most people do not think of a nuclear power plant as posing a chemical hazard but thermal power plants need a large supply of cooling water Approximately one half to two thirds of the energy produced by any thermal power plant is wasted because of the second law of thermo dynamics the waste energy is rejected to a lake river sea or the atmosphere For many sites near large bodies of water most of the cooling water is used in once through mode in the main condenser and in many plants fossil fuel as well as nuclear it is chlorinated to avoid growth of biological material such as zebra mussels in the plant equipment It follows that such plants have relatively large tanks of chlorine somewhere on site The consequences of rupture of these tanks can be severe off site contamination as in the Mississauga train derailment in 1979 Liverman 1979 OMSC 1981 There is no biological hazard associated with a nuclear plant because these plants do not contain or produce bacteria or viruses A summary of radiological hazards is provided in Chapter 15 Key points will be summarized here The effects can be somatic affecting the living individual who is exposed to radiation or genetic appearing in the yet to be conceived offspring of that person or in later genera tions e Somatic effects can occur o soon after the exposure acute or prompt or early or non stochastic effects these terms all mean the same thing or o late
162. ical Association Thermal and Nuclear Power Sec tion Meeting Calgary Alberta October 1979 11 Further Reading Duderstadt 1976 J J Duderstadt and L J Hamilton Nuclear Reactor Analysis New York NY Wiley 1976 ISBN 9780471223634 IAEA 2001 International Atomic Energy Agency Thermo Hydraulic Relationships for Advanced Water Cooled Reactors IAEA TECDOC 1203 April 2001 OECD NEA CSNI 1989 Thermo Hydraulics of Emergency Core Cooling in Light Water Reactors a State of the Art Report SOAR by a Group of Experts of the NEA Committee on the Safety of Nuclear Installations OECD NEA report Rep No 161 Paris Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 169 12 Glossary AECB AECL AOO BDBA BEAU BECS BWR CHF CNSC DBA DBE DSA ECC ECI EPR EWS FMEA HPECC HTS IAEA INES INPO INSAG LLOCA LOCA LPECC LWR MCR MPECC MSSV Atomic Energy Control Board Atomic Energy of Canada Limited Anticipated Operational Occurrence Beyond Design Basis Accident Best Estimate with Analysis of Uncertainties Boiler Emergency Cooling System Boiling Water Reactor Critical Heat Flux Canadian Nuclear Safety Commission Design Basis Accident Design Basis Earthquake Deterministic Safety Analysis Emergency Core Cooling Emergency Coolant Injection a subsystem of ECC European Pressurized Reactor Emergency Water System Failure Modes and Effects Analysis High Pressure ECC Heat
163. ies in the single dual failure methodology for design basis accidents the AECB issued document C 6 in June 1980 AECB 1980 This retained the concept of classes of events five in this case As with the Siting Guide the classes roughly grouped events based on frequency but the assignment of events to classes was done by AECB staff based on their beliefs about the likelihood of the event Design basis accidents included for example Class 1 failure of reactivity or pressure control failure of normal electrical power loss of feed water flow loss of service water flow loss of instrument air and a number of other events that one might expect to occur occasionally Class 2 feeder pipe failure pressure tube failure channel flow blockage pump seal failure other events that would not be expected to occur more than once if that in a plant lifetime Class 3 large LOCA earthquakes and other events that are rare and could damage the fuel or Reactor Safety Design and Safety Analysis 24 The Essential CANDU portions of the plant Class 4 Class 1 events unavailability of a special safety system Class 5 Class 2 or 3 events unavailability of a special safety system e g LOCA plus ECC impairment Dose limits were defined for individual members of the public only see Table 2 Table 2 Consultative document C 6 limits Expected Frequency Whole Body Dose Sv Thyroid Dose Sv per reactor y Charak 1995 1 gt 10
164. igure 6 The un terminated arrows represent further development of the diagram Failures in Feedwater System Inadvertent feedwater valve closure j Feedwater line break Loss of power to main feedwater pumps y Failure of auxiliary feedwater pump Failure of Group 2 EWS Failure of shutdown cooling system Figure 6 Simplified bottom up example A combination of the top down and the bottom up methods will give a large number of acci dents which cover most possible events However the treatment of frequency is not very precise 2 3 Probabilistic Safety Analysis Probabilistic safety analysis PSA is a rigorous tool for identifying accidents and assigning Reactor Safety Design and Safety Analysis 22 The Essential CANDU frequencies to them PSA uses a top down approach to generate the failure frequencies of operating systems and the failure probabilities of safety systems fault trees It then combines failure of each operating system with successive failures of the required safety systems to obtain a long list of accidents and their frequencies event trees One can also select design basis accidents from this list if they have not already been picked up by other techniques This topic is covered in more detail in Section 4 2 4 Experience Design basis accidents may also be added because of experience For example Canadian practice req
165. ill mitigate the event e the system or component is protected by a barrier e the system or component is fail safe e the component is designed to withstand the hazard Table 9 shows an example of how grouping and separation were implemented on CANDU 6 Table 9 Grouping and separation example Safety Function Group 1 Group 2 Shutdown Reactor Control System Shutdown System 2 Shutdown System 1 Heat Removal From Fuel Heat Transport System Emergency Water System Steam amp Feedwater Systems Shutdown Cooling System ECC Moderator Contain Radioactive Material Reactor building air coolers Containment amp containment subsystems Monitoring amp Control Main Control Centre Secondary Control Area Most safety systems need services such as air water and power These must also be grouped and separated 5 2 9 Testing Section 4 2 3 3 discussed the link between testing and avail ability It is not practical to test safety systems fully during on power operation instead they are designed to have their components tested in such a way as to preclude actual system operation Specifically the testing of the logic is separated pemn from that of the final mechanism and the mechanism is pian tested in stages not all at once Tro Spal Channel 3 All safety systems in CANDU have three logic channels with two out of three being sufficient to initiate the trip or safety Figure 35 2 3 logic system action Figure 35
166. in to the results of safety analysis It is important that the safety analyst not make assumptions that are too restrictive because this will unnecessarily limit operation Other methods of safety analysis are best estimate with analysis of uncertainties BEAU which we will cover later and best estimate analysis which is used for severe accidents In other countries a set of Technical Specifications serves a similar purpose Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 103 6 3 Major Computer Analysis Tools Required for DBAs CANDU safety analysis requires a comprehensive suite of physical models The mathematical foundations of these models are presented in simplified form in Section 7 This section lists the capabilities that these codes should have A detailed description of individual codes is well beyond the scope of this chapter references are given to enable the student to investigate further any codes of interest Reactor physics analysis requires a transient three dimensional model especially for larger CANDU cores The most demanding application is a large LOCA because the positive void coefficient leads to relatively fast kinetics and because of the spatial effects associated with flux tilts and shut off rod or liquid absorber insertion Three dimensional effects are also impor tant in slow loss of reactivity control starting from distorted flux shapes Current codes used Roy 2004 inc
167. ing system does not also impair it Section 4 It uses Boolean algebra to determine the frequencies of initiating events given the fre quency of component failures and mathematically combines these with the reliability of mitigating systems to determine the frequency of severe accidents thereby showing that the safety goals have been achieved Deterministic safety analysis or simply safety analysis which drives design requirements for and verifies the performance of mitigating systems It uses mathematical models of all the key systems in a plant to predict ultimately how much radioactive material will Reactor Safety Design and Safety Analysis 8 The Essential CANDU escape from the fuel and where it will be transported It shows that the deterministic requirements have been met Section 6 describes the phenomenology of accidents and Section 7 summarizes the mathematical tools used to predict how they evolve Ultimately the safety of a plant however well designed depends on the people who run it Section 8 covers safety aspects of operation including safety culture A brief summary of innovative designs which promise to deliver increased safety wraps up Section 8 Section 9 summarizes the key points of the Chapter Section 10 gives the references used in this Chapter and Section 11 lists other sources of information on reactor safety A Glossary in Section 12 is a ready reference for the abbreviations used in this Chapter Each s
168. inherently Slow because of all the passive heat sinks around the core Incoherent because the channels fail individually over time forming a coarse debris rather than rapid candling In a favourable geometry either retained in the calandria shell or should the shell Reactor Safety Design and Safety Analysis 134 The Essential CANDU fail in the shield tank reactor vault Only if these also fail will debris be in contact with the containment boundary e Subcritical e Amenable to mitigation by adding water to either the moderator or the reactor vault shield tank Some validation of CANDU severe accident phenomena has been carried out at both large and small scales Results obtained from the RASPLAV facility in Moscow have been used to support heat transfer through vessel walls and retention of debris in a vessel see Ader 1998 and Rogers 2002 See Mathew 2004 for a summary 6 15 Problems 1 Consider loss of cooling of the spent fuel bay due to loss of electrical power to the cooling system What operating parameters would have the most influence on the outcome and how would you select conservative values What tools would you need to analyze the accident i e what capabilities would they have to have 2 Estimate the evolution using hand calculations if necessary of the following severe accident in CANDU small loss of coolant plus loss of ECC assume that crash cooldown is available because it is on a red
169. input to a system thermo hydraulics code This code calculates the distribution of coolant void as a function of time from the pipe break for each pass of the coolant loop The importance weighted average void fraction calculated by the thermo hydraulics code is combined with the previously calculated reactivity function and the cycle is iterated as necessary The thermo hydraulics code and the physics code are combined into one calculation so that manual iteration is not necessary 7 2 Decay Power We indicated in Section 3 2 that shutting down a reactor was not sufficient to remove all safety concerns the decay heat must be removed This heat comes from the radioactive decay of fission fragments and obviously cannot be controlled In principle it can be calculated from the power history the composition of fission products can be predicted at any time and their half lives and decay chains are known so that P gt n OE 35 where P t is the power produced by all decaying fission products at time t ni t is the number of atoms decaying per unit time of fission product i at time t E is the average energy produced by the decay of each atom of fission product i This is more complex than it seems because n t will depend on the irradiation history each fission product may have more than one decay chain with different energies and many fission products are generated In practice such a fundamental calculation is done as a refer
170. ion of accident progression and and accident management mitigation of the consequences of severe accidents Level 5 Mitigation of radiological consequences of Off site emergency response significant releases of radioactive materi als Defence in depth is fundamental to the achievement of nuclear safety try Problem 1 in this section 5 2 Shutdown Systems Typically a reactor has one or more systems for each of the four safety functions control cool contain monitor Defence in depth influences the amount of redundancy provided For each system its performance is specified by design requirements These in turn arise from listing and evaluating the challenges that the system must overcome which make up the design basis Shutdown is one of the most important safety functions in a reactor because it reduces the amount of energy that has to be removed from the fuel after an accident Itis usually accom plished through rapid insertion of a neutron absorbing material into the core Another way is to remove from the core material which is essential to the chain reaction e g the moderator More radical engineered concepts are possible in principle such as removing fuel or changing the core geometry but they are not in widespread use for fast shutdown The design bases of the shutdown systems are typically set by those accidents developed using Reactor Safety Design and Safety Analysis 78 The Essential CANDU the various approaches in Se
171. ion of fuel temperature in CANDU is important because e it drives sheath temperature and hence sheath integrity e high fuel temperatures drive pressure tube deformation rates e limited fuel melting can lead directly to fuel sheath failure e extensive melting can lead to pressure tube failure e release of fission products from the fuel increases with fuel temperature e reactivity feedback from fuel temperature does occur although it is small in CANDU 7 3 1 Fission products in the fuel During normal operating conditions all fission products are formed within the fuel grains they are trapped there with the exception of a few which recoil directly into inter grain and gas gaps until they are released from the grains by diffusion Those volatile fission products which are released form a gas mixture inside the fuel sheath It is therefore useful to categorize fission products into three groups a bound inventory b grain boundary inventory and c gap inventory recall Section 1 7 The gap inventory includes the fission product gases in the pellet dishes in the pellet sheath gap and in the sheath end cap If the fuel sheath fails the gap inventory escapes quickly the grain boundary inventory much more slowly and the bound inventory even more slowly At relatively low fuel temperatures these diffusion processes are very slow so that almost all isotopes remain in the grains An exception to this occurs when uranium dioxide is
172. irst clear signal of a pressure tube break when the operator can be assumed to supplement the shutdown system reactivity e g by manual poison addition One then designs the shutdown depth of the shutdown system to achieve an adequate shutdown margin the net result of the reactivity balance using conserva tive assumptions Physically one achieves greater shutdown depth by adding more rods new designs by putting rods preferentially in the high flux region of the core etc There is a practi cal space limit however on the number and location of rods The typical shutdown depth for existing CANDU shutdown systems is 70 mk for the shut off rods and lt 200 mk for poison injection Hence shutdown margins for the rods are smaller 5 to 10 mk for existing CANDUs under the most pessimistic conditions e g assuming that the two most effective rods are unavailable 5 2 4 Availability Demand unavailability is expressed in dimensionless units although it is also written as hours year or years year The required unavailability is set primarily by the safety goals applied to the reactor by the regulator and for current CANDUs it is at most one failure per 1000 demands 10 per demand for safety systems Experience has shown that the shutdown systems normally meet approximately 10 per demand Unavailability values much lower than this are possible but are usually not credited for a single system because of Reactor Safety Design and Saf
173. itive Negative 2 5 mk void 0 15 mk void Coolant temperature Negative Small Positive increases 0 09 mk C at BOC to 0 04 mk C 0 54 mk C at EOC Coolant temperature Positive Small Negative decreases 0 09 mk C at BOC to 0 04 mk C 0 54 mk C at EOC We can now summarize the impact on safety of the speed of reactivity feedback and the size and sign of reactivity coeffi cients Only reactivity coefficients driven by fast phenomena are highly im portant to safety if the phe nomenon driving a coefficient acts slowly whatever its sign or size its impact can easily be com pensated for by reliably engi Figure 58 Importance of reactivity effects Positive Negative Size neered reactivity control and shutdown mechanisms The size of the reactivity coefficient is clearly important to safety because it determines the magnitude of inherent effects and the performance of the engineered systems that must control or compensate for them Generally a small reactivity coefficient is not im portant because the amount of compensation needed is also small regardless of the sign or speed Conversely a large reactivity coefficient is important regardless of the sign The sign of a reactivity coefficient is less important to safety because the physical mechanism can almost always be reversed as discussed above This concept is illustrated in Figure 58 The use of inherent and engineere
174. know P B A we can calculate P A B A couple of examples will make this clearer Sample Problems Pipe Inspection Suppose that you are radiographing a Class pipe for a defect You know from past experience that the likelihood of a defect is one per 100 000 radiographs You also know that the likelihood that the instrument indicates a defect when there is no defect false positive is 1 and the likelihood that the instrument indicates a defect when a defect in fact exists is 99 Your test indicates a defect What is the probability that the pipe actually has a defect when the instru ment says it does Answer Apply Bayes theorem to two events Reactor Safety Design and Safety Analysis 60 The Essential CANDU A pipe has a defect therefore P A 0 00001 B instrument says that pipe has a defect therefore P B 0 01 B A instrument says pipe has a defect when it has a defect therefore P B A 0 99 What we want is P A B the probability that the pipe actually has a defect when the instrument says it has one Using Bayes theorem P A B P B A P A P B 0 99 x 0 00001 0 01 0 00099 because the denominator in Equation 9 is just P B which in this case is known The result seems counterintuitive and suggests that the test is not very good in detecting defects despite the instrument s high accuracy rate However the fact that the defect is so rare we need about a hundred thousand samples before we ha
175. lant design is so safe that it cannot be damaged by incom petent operation this is why plant safety is fundamentally the responsibility of the plant opera tor not the designer and not the regulator It is even more important that an unforgiving design requires cautious operation which in case of uncertainty always opts for the prudent course of action In this framework Chernobyl was an unforgiving design run by an organization deficient Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 151 in safety culture The difficulty with safety culture was that it was hard to get hold of like personal character one could sense when it was deficient but it was hard to measure INSAG therefore hastened to elaborate on the term in a subsequent report INSAG 1991 entitled Safety Culture The term was redefined as Safety culture is that assembly of characteristics and attitudes in organizations and in dividuals which establishes that as an overriding priority nuclear plant safety issues re ceive the attention warranted by their significance The three concepts in this definition are that safety culture is attitudinal as well as structural that it relates both to organizations and individuals and that it matches all safety requirements with appropriate perceptions and action Note that it gives safety a priority to the extent warranted it is not an absolute In simpler terms the best design
176. leaching from the rocks For natural gas plants there is a local acute hazard due to explosion and a global delayed hazard due to climate change from the release of combustion products greenhouse gases to the atmosphere Coal plants are likewise a major source of greenhouse gases and in addition can cause respiratory disease from the combustion and release of toxic chemicals in the coal see Inhaber 1978 and Rogers 2004 for Canadian examples Some coal plants emit more radioactive material to atmosphere in normal operation Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 9 than a nuclear power plant For a nuclear power plant the hazard of most interest is the release of radioactive material in accidents Unlike a coal plant an inadvertent rise in power in a nuclear plant if it is not stopped can both drive the release of radioactive material out of the fuel and rapidly cause damage to the reactor and its containment structure We accept hazards of technologies when they have a benefit which is perceived to offset the risk Sometimes this decision is made on an individual basis you may go sky diving an activity so objectively risky that you cannot get insurance coverage for it because you believe that the unique thrill is worth the risk You accept the hazards of electrical shock and fires for the convenience of using electric lights and appliances Nothing that we do on a day to day basis is as
177. lectrical power signals or forces It does rely on natural laws properties of materials and internally stored energy Therefore heat removal from a reactor by thermo siphoning to an elevated tank of water is passive at least until the water runs out In practice most passive designs do allow active signals because there is usually a need to switch from the active heat removal systems used in full power operation to passive decay heat removal systems after an accident CANDU shutdown systems are passive in this respect once they receive a signal they actuate by gravity or stored energy An active component or system is one which is not passive Fail safe means that a given failure leads to a safe condition the component or system is then fail safe with respect to that condition The fail safe characteristic is specific to the failure mode for example Shutdown System 2 in CANDU is fail safe with respect to loss of electrical power to the valves but not to loss of gas pressure Reactor Safety Design and Safety Analysis 156 The Essential CANDU Grace period is the period of time during which a safety function is ensured after an accident without the necessity for human intervention Colloquially it used to be called walk away safe for whatever grace period was involved this term has unfortunate connotations opera tors are not expected to walk away from an accident and is best not used A grace period can be achieved throug
178. lude e WIMS IST a two dimensional lattice cell code e RFSP IST a reactor code for CANDU full core 3 D static and dynamic analysis e MCNP a Monte Carlo code which tracks large numbers of individual neutron his tories to achieve an answer The accuracy of the answer is limited only by the num ber of histories and the quality of the input data from experiments which measure nuclear cross sections The system thermo hydraulics code is typically a two fluid one dimensional non equilibrium network code The two fluids are water and steam recent codes also incorporate a third non interacting fluid e g hydrogen as produced in severe accidents One spatial dimension suf fices for CANDU because the system consists largely of linear flow in pipes feeders channels large pipes above the core and there are no vessels in which complex three dimensional behaviour occurs However the flow in the headers can be quite complex and tools based on visualization tests are being developed to model it more accurately The thermo dynamic non equilibrium aspect is important in modelling fuel rewetting and channel refilling after a LOCA because the flow can be stratified steam and water flowing separately due to the effect of gravity during that time and each phase can have its own temperature and flow Finally a network capability is clearly a necessity in CANDU with its multiple parallel paths e g many channels are connected to one header an
179. m the Gaussian dispersion model CSA 2008 2 a 57 where Figure 68 x is the sector averaged long term concentration in Bq m at a distance of x metres from the source and will be uniform through the sector Q is the release rate in Bq s from a source of height h metres oz is the vertical diffusion coefficient in metres Gis the angle subtended by the sector in radians f is the fraction of the time that the wind blows into the sector u is the mean wind velocity in m s Table 14 Typical core inventory of volatile fission products Nuclide Half life Fission yield Curies x10 sai 44h 0 0133 0 24 Kr 10 76 y 0 00285 0 0056 87Kr 76m 0 0237 0 47 Bkr 2 79 h 0 0364 0 68 133Xe 5 27d 0 0677 1 7 13 gt Xe 9 2 h 0 0672 0 34 Pa 8 04 d 0 0277 0 85 132 2 28 h 0 0413 1 2 1331 20 8 h 0 0676 1 7 s4 52 3 m 0 0718 1 9 a 6 7h 0 0639 1 5 Superscript m refers to a nuclide in an isomeric state see Section 2 8 Reactor Safety Design and Safety Analysis 148 The Essential CANDU Reactor Concentration E i Distance x Figure 68 Atmospheric dispersion 7 8 3 Dose Release of radioactive material from containment leads to an external dose to humans often called cloud dose which depends on the ambient radiation level and an internal dose which depends on inhaled species and in the longer term ingestion of contaminated foods External dose is
180. makes it possible to dump the steam directly to the condenser by passing the turbine Because unlike steam dump to atmosphere the secondary water is recycled from the con denser back to the steam generators it is possible to do this for considerable periods of time This is a big advantage in the case of a prolonged loss of electrical grid power if the reactor can avoid a trip when the grid is lost e g through stepback to 60 power and is kept running it remains ready to supply power as soon as grid stability is restored This capability was demonstrated after the power blackout of Thursday August 14 2003 When the grid failed at 16 10 all operating reactors in Ontario tripped The four Bruce Power units and Darlington unit 3 were quickly put into poison prevent mode operating at about 60 of full reactor power and by passing steam to the condensers These reactors were able to start providing power within a few hours as grid restoration began For details see Rogers 2004a The maximum decay heat immediately after shutdown is approximately 6 However we can sometimes design to remove less if the heat sink can be brought on line later Figure 37 shows the variation of decay heat with time after shutdown The desired end point of an accident is a stable cold shutdown i e the reactor is well sub critical the decay heat generated by the fuel is being removed no further release of radioactive material from the fuel is taking place
181. me to drive the diffusion front away from the moderator Reactor Safety Design and Safety Analysis 80 The Essential CANDU 5 2 2 Speed The required speed is set by the fastest accident In CANDU this is the large loss of coolant accident where the break is assumed to grow to full size instantaneously a very pessimistic assumption and inconsistent with what we know of pipe dynamics Tregoning 2008 Core voiding for such a case inserts positive reactivity at a rate of approximately 4 mk sec One of the main safety requirements during this phase is to prevent melting of the central part of any fuel pin due to overpower because significant amounts of molten fuel could risk failure of the nearby pressure tube As long as the net positive reactivity is kept below approximately 6 mk depending on the design and the assumptions the energy is not sufficient to melt the centre of the fuel This then suggests that the shutdown system has to start to bite insert negative reactivity in approximately one second and that the initial reactivity insertion rate has to overcome the 6 mk already inserted as well as turning the transient over by 1 5 seconds in other words tens of negative mk sec 5 2 3 Reactivity depth Reactivity depth means the total negative reactivity inserted once the shutdown system has fully operated For shut off rods this occurs when the rods have been fully inserted for poison injection when the poison has been fully inj
182. mission Fault Tree Handbook USNRC 1981 is a superb source for learning fault tree analysis Sample Problem Figure 27 Simple pumped system Consider a simple and rather badly designed pumped system as shown in Figure 27 Each pump can supply 100 of the necessary flow The demand failure probabilities for each com ponent are Pump P 0 01 Valve V 0 01 Signal S 0 001 What is the unavailability of the system Answer The first step is to define the system boundaries carefully For this example we will exclude the water tank and the reactor That means that we will not consider failure modes for the tank e g water freezing tank drained line opening blocked in a real application these would need to be covered We also have to define the failure criterion less than 100 flow to the reactor We can then draw the fault tree It may help to think the problem through in words first Immediate cause of insufficient flow to reactor no flow through valve V3 Immediate cause of no flow through valve V3 no flow through valves V1 OR no flow through valve V2 OR valve V3 closed Immediate cause of no flow through valve V2 pump P2 fails OR valve V2 fails to open Immediate cause of valve V2 fails to open valve V2 mechanically fails OR signal S fails Reactor Safety Design and Safety Analysis 70 The Essential CANDU etc This results in the fault tree shown in Figure 28 Note that there are many ways of drawing this
183. mpera ture c location of reactivity devices or d reactor core geometry As discussed in Chapters 4 and 5 and in our lessons learned from the SL 1 accident Section 3 1 1 3 the response to a large and fast reactivity addition depends on 1 the reactivity added compared to the delayed neutron fraction 2 and 2 the prompt neutron lifetime PWRs and CANDUs have similar delayed neutron fractions from 0 0054 to 0 0073 mk in a PWR depending on core burnup and 0 0053 for an equilibrium core CANDU However the prompt neutron lifetimes are very differ ent For a PWR lp is typically 20 30 us for a CANDU l is about 900 us or 30 45 times longer than in a PWR because heavy water does not absorb neutrons as much as light water neutron lifetime in CANDU reactors is much longer Figure 57 shows the relationship between reactivity p and reactor period for various values of prompt neutron lifetime adapted from Glasstone 1994 For p lt lt p the period for CANDU and PWR reactors for the same reactivity insertion is approximately the same As p approaches A the period for PWR reactors decreases sharply whereas for CANDU it also decreases but fairly smoothly For p gt the period for PWR reactors is about 40 times shorter i e faster than for CANDU Figure 57 also shows typical values of reactivity changes during certain acci dent classes for a PWR and a CANDU reactor as shown by the coloured areas From Popov 2012
184. mperature control especially because person nel access to parts of the building is possible and required during operation Some penetra tions particularly ventilation could be pathways for release of radioactive material if an acci dent should occur and therefore on an accident signal these are automatically isolated Steam feed water and service water lines are not isolated immediately in CANDU practice because continuing to use a running system is more reliable than stopping it and starting up another one For LWRs the opposite approach is taken due to a different philosophy of con tainment isolation USNRC 2013 and partly due to the reactivity increase on a steam line break in LWRs However main steam isolating valves MSIVs are used in recent CANDUs to prevent leakage to the environment through a pre existing steam generator tube failure after an acci dent but they are manually operated and slow Feed water and service water are not normally isolated 5 5 4 Reliability As a special safety system the containment must meet a demand unavailability of 10 years year or less Containment leak tightness is tested every few years by pressurizing the building and measuring the leak rate This is an invasive and expensive test and if the leak rate exceeds the requirement one must assume that a containment impairment has existed for half the interval between tests Therefore on line leakage monitoring systems are being deployed in exi
185. n sssssssssesssesssrrssssrrsssrrtttteteettestrersstterssettensereenessrenessentt 45 Fig re 19 TMl schematica a a S 46 Figure 20 TMl c reend staten oino iii sriain E a AE EAE TEEGA EE EA 47 Figure 21 Fukushima Dai ichi before earthquake c cccccccccsssssssececeeeeecsessceseeeeeesesessssaeeeeeeeens 49 Figure 22 BWR Mark 1 CONtAINITIONE 2 ccc secauedeade aelaescadeudeldoeed asaetdeteasidiadadedeadeeasbieihacldoen 50 Figure 23 Design basis versus actual flood level nnsnssnsnnseeeeessssoseeereessssssesrreesessssesrrereesssssseeee 51 Figure 24 Typical A t versus time nss nnnsennnnsesnesseseessoornsanserrrssererssereessosrrssssrrnnsserressereessssrnnnnsenea 64 Figure 25 Reliability for constant Narri ao eaa aaa ea Ea a A eataa ai a aaaea 66 Figure 26 Availability With repair serris ae EEO AET O Ee 67 Figure 27 Simple PUMPEd systemo i a E A E Aa a aaea 69 Figure 28 Sample fault tree with labels cccccsessssscececeesesesesseaeeeceeeesseessaeaeeeeseseessesseaeeeeeeeens 70 Fig re 29 Simple event trenin na e ee e iae a a eaaa aae a das dds a a aa aaa a Tb Ea 72 Figure 30 Contributors to SCDF for CANDU 6 ccccscsccccceessessesseaeeeceeeesssesssaeaeeeeeeseessesseaeeeeeeeens 74 Figure 31 Simple fault tree exerci Enae a a A E E Ra 75 Figure 32 Defence in depth Darriers ccccccccccccsssessnsscecececscessesseaesececeessseseaeaeseeseseeesesaeeeeeesens 76 Figure 33 CANDU shutdown SYStEMS cccccccccec
186. n 5 5 2 For the Darlington containment for example the design pressure is 96 kPa g The normal operating pressure for the vacuum building is 96 kPa g Huterer 1984 Typically the design pressure is set by the large LOCA because this both causes high short term pressure and has the potential to release fission products into the containment The leakage rate at design pressure is confirmed by proof testing before the plant is operational and by periodic testing thereafter Reactor Safety Design and Safety Analysis 96 The Essential CANDU Should the pressure exceed the design pressure the building will not explode typical safety margins on massive failure of the building are a factor of about three over the design pressure see Rizkalla 1984 Rizkalla 1986 However the leak rate is harder to predict because the leak area may increase In particular the leak tightness of any penetrations and seals above design pressure is dependent on their detailed design and will need to be determined on a case by case basis In any event for an epoxy lined containment leakage would increase through penetrations and cracks before the internal pressure reached failure pressure and therefore it would be very unlikely for the building to fail catastrophically 5 5 2 Pressure control and heat removal Without some means of removing heat the containment pressure in an accident such as a pipe break will rise rapidly as the broken system discharges s
187. n and effects on the environment such as on animals and plants The assumption in this safety goal is that protection of the most exposed individual member of the public also provides sufficient protection for society at large and for the environ ment e The goal refers to members of the public not workers in the plant It is generally ac Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 55 cepted that people will implicitly accept a somewhat higher risk to life and limb if it comes as part of their job i e if a direct benefit is obtained Attempts have been made e g in the United Kingdom see HSE 2006 to set nuclear safety goals for plant workers in nuclear power plants but the risk to such workers is dominated by conven tional industrial risk which itself turns out to be less than in comparable non nuclear in dustries e The goal refers to the risk of nuclear power in isolation Just as there is a risk to having nuclear power there is also a risk to not having it because the electricity would then have to be generated from other sources with greater or lesser risk The goal does not distinguish between prompt and delayed risk of death We can break down the safety goal proposed above into two sub goals The annual risk of prompt death to the most exposed member of the public due to ac cidents in a reactor should be small in comparison to his her total annual risk of prompt death du
188. n design it is relatively straightforward using PSA to calculate the likelihood of a large rapid release core melt plus early failure of containment to see if the goal is exceeded where the dominant contributors are and to fix them if needed to meet the safety goal 4 1 2 Risk of delayed death Cancer fatalities can be considered in a similar fashion In the same year in Canada 2009 malignant neoplasms were the leading cause of death over the whole population at a rate of Reactor Safety Design and Safety Analysis 56 The Essential CANDU 211 deaths per 100 000 people Therefore the average person s risk of dying from cancer is 2 1 x 10 per year or about 16 over a 75 year lifetime Recall from Chapter 1 that 100 person Sv will produce about five fatal cancers in the exposed population or a risk of 5 x 10 fatal cancers per Sv Therefore using the linear dose effect hypothesis 211 cancer deaths per 100 000 people would be induced by a collective dose D calculated as follows D Sv x 5 x 107 cancers Sv 211 cancer fatalities 4 which means that D 4220 Sv or an average individual dose of 42 mSv However the linear dose effect hypothesis is not applicable to such low doses Regardless if we divide by 100 again then the maximum time averaged individual dose from accidents should be less than 0 4 mSv per year averaged over a group of people or about 25 of natural background radiation in Toronto 1 6 mSv year The
189. n o 1 0 2 0 3 0 systems should never be impaired Relative thermal neutron flux by the operating state of the reac B Boron carbide absorber D Graphite displacer tor The shutdown systems as should be fast enough and inde pendent enough to overcome any power Figure 17 Reverse shutdown in RBMK transient even from an abnormal operat ing state 2 The concept of safety culture was used to address inadequacies in the processes of design operations and regulation in the USSR which contributed to the accident We shall cover this in Section 8 Briefly INSAG 1991 Safety culture is that assembly of characteris tics and attitudes in organizations and individuals which establishes that as an overriding priority nuclear plant safety issues receive the attention warranted by their significance 3 Some discussion took place about the role of the containment Figure 18 It is possible that a complete containment envelope as used in Western PWRs and CANDUs even if not de signed for a reactor runaway would have mitigated the release of radioactive material but this has not been demonstrated At the very least one can conclude that the upper con finement design basis rupture of two channels was not robust in terms of defence in depth Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 45 Reactor building Steam and water from core Steam Steam i Steam to sepa
190. nable upper limit to a frequency in a probabil istic safety analysis when no such events have actually occurred and all we have is the number of reactor years of experience Note that one of the criticisms of Bayes Theorem when used this way is that the answer depends on the appropriateness of the initial hypotheses If few data are available and you put in strange hypotheses you get back strange answers Note also that if no events have occurred Bayes Theorem does not give information about the lower limit of the frequency Reactor Safety Design and Safety Analysis 62 The Essential CANDU Table 5 Bayes theorem example n 1 2 3 4 5 6 An 10 year 10 year 10 year 10 year 10 year 10 year P B An 2 5x10 8 7x10 0 2276 0 8624 0 9853 0 9985 Uniform Prior P A 0 1667 0 1667 0 1667 0 1667 0 1667 0 1667 P A B 8 14x 10 1 20x10 0 0741 0 281 0 321 0 325 Non Uniform Prior P A 0 001 0 01 0 1 0 4 0 4 0 089 P A B 2 27 x 10 B 36x10 0 0251 0 358 0 394 0 0808 4 2 3 Probability distributions We will now develop the theory behind failure probabilities failure rates and reliability Let p x dx be the probability that an event occurs in an interval x to x dx the probability density function between Xmin and X Then X Xmin P X f p x dx P x lt X Let P X be the cumulative probability that the event occurs somewhere
191. nations Because safety remains the responsibility of each country the Guides have no legal force internationally but tend to be incorporated informally or adopted formally as part of each country s safety regulations Chernobyl caused a fundamental rethinking of the effectiveness of the guidance that the IAEA was offering The first action taken was by an international group of independent experts who provided advice to the Director General of the IAEA the International Safety Advisory Group or INSAG They produced a number of key documents which gained widespread international acceptance and have strongly influenced the development of safety since then INSAG 1 INSAG 1986 initiated safety culture as a meme however this report was withdrawn because of deficiencies in the Soviet account of Chernobyl on which it relied INSAG 1992 entitled Basic Safety Principles for Nuclear Power Plants tried to set down in one place what its title implied what were the underlying and fundamental safety principles of nuclear power plants Five levels of safety principles were defined in a hierarchy going from the general and all encompassing to specific technical practices The document was written in the present tense as if all reactors followed the safety principles a clear message that if they did not they should be modifying at least their operating practices Details are beyond the scope of this Section INSAG recognized implicitly that no p
192. ndependent signal limits the possible source of hydrogen Reactor Safety Design and Safety Analysis 94 The Essential CANDU Crash cooldown is more significant If a break is small less than say a feeder failure it is not able to depressurize the heat transport system down to ECC pressure or to keep it below ECC pressure once injection begins Crash cooldown opens all the MSSVs on all the steam lines and blows down the steam generator secondary side to near atmospheric pressure over about 15 minutes Because the steam generators are still a heat sink for the primary coolant in a small LOCA this forces the primary side pressure down over the same time scale Therefore it ensures that ECC is not blocked by the heat transport pressure hanging up at secondary side pressure and that the unfailed loop will also be refilled by ECC Some CANDUs Darlington use high pressure pumps for a small LOCA and are not as dependent on crash cooldown for this purpose 5 4 5 Initiation Signals Clearly ECC initiation must be automated The basic signal is low heat transport system pres sure By itself this is not unique to a LOCA and a spurious injection is costly due to heavy water downgrading and therefore it is conditioned ANDed by one or more of high building pressure sustained low heat transport system pressure and high moderator level the last is for an in core break A separate signal isolates the loops in some designs on low pressure
193. ng systems fall into a separate category because the phenomena of severe core damage are not strongly coupled to the initiating event We will cover these later Safety analysis is the method by which we can show that the predicted consequences of a postulated accident meet regulatory and design goals It involves mathematical modelling of the major systems in the plant to predict the behaviour of their components in an accident Typically the focus is on e Demonstrating that the physical barriers to release of radioactive material are not further damaged or have sustained only limited damage beyond the initiating fail ure e Predicting on site doses to ensure that credited operator actions are feasible in the post accident environment e Predicting dose to the public In general in traditional safety analysis for CANDU the mathematical models are best estimate and pessimism is introduced by means of conservative assumptions and data This raises the issue of margins 6 2 Margins A discussion of margins must start by defining the essential physical barriers that need to be preserved or their degradation limited to meet regulatory dose limits with confidence Typically these barriers are the fuel matrix the fuel sheath and the heat transport system including the pressure tube the calandria tube and the calandria shell To prevent failure of an essential barrier physically based quantitative parameter limits are chosen for
194. ng had a few safety rods which acted in conjunction with the moderator dump Only by the time of Bruce A were shut off rods restored as a primary shutdown mechanism They were of course very dif ferent from those in NRX they consisted of a rod on a cable which was wound around a pulley and held in place by an electromagnetic clutch On a shutdown signal current to the clutch was cut off and a spring assisted the rod to drop by gravity It was and is a simple and reliable design with large clearances 3 The control and shutdown systems should be separated and independent with the latter devices being used only for shutdown and held outside the reactor during critical operation 4 An accident even with a shutdown failure should not be a public health disaster This meant that either the reactor containment had to withstand the energy released or much later on two shutdown systems would have to be provided so that failure to shut down af ter an accident would be a very low probability event Reactor Safety Design and Safety Analysis 40 The Essential CANDU 3 1 3 Chernobyl This summary uses material from USSR 1986 USDOE 1986 Howieson 1987 Chan 1987 Rogers 1987 and INSAG 1992 3 1 3 1 Description Chernobyl unit 4 was of the RBMK type Peaktop Bonbwo MoujHoctu KaHabHbin or High Power Channel Type Reactor and the most recent of the 1 000 MW e series It was a graphite moderated boiling light water co
195. nment and Level 3 is used in off site emergency planning As an example we summarize the results of a Level 1 PSA done for an operating CANDU 6 plant Santamaura 1998 The summed severe core damage frequency SCDF was predicted to be 6 1 x 10 per year We have already discussed the underlying reasons that this number is low redundant shutdown systems mean that accidents with failure to shut down occur at very low frequency and the moderator if available is effective in preventing or arresting severe core damage Moreover a severe core damage accident after shutdown at high pressure is not possible because failure of a limited number of pressure tubes converts the event inherently to a low pressure accident Note that Santamaura 1998 covered internal events only typically inclusion of external events doubles this value Also note that accidents in shutdown states such a distinction is made in Canada but most other places just use ECC The mission time is defined here as the time beyond which the decay heat can be removed from the fuel to the moderator without any water in the fuel channel so as to prevent any further fuel failures due to overheating It is a calculated number Reactor Safety Design and Safety Analysis 74 The Essential CANDU were excluded The contributors to the SCDF are shown in Figure 30 Note that it is the high frequency initiat ing events including many AOOs that dominate the SCDF the bounding accid
196. ns that initiates the explosion is located at the centre and is triggered at the right time and 3 using pure fissile material U or Pu so that the mass goes critical on fast neu trons Fast neutrons have very short lifetimes The basic time unit that bomb designers use is a shake or 10 seconds It takes only about 50 chain reaction generations of neutrons to produce enormous nuclear energies in the few shakes before the mass 239 Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 11 blows apart and the chain reaction stops Most power reactors however slow down the neutrons to thermal energies and thermal neutrons have lifetimes of milliseconds In fact as covered in Chapter 4 a power plant is critical on delayed thermal neutrons with lifetimes of the order of tenths of seconds to several seconds This means that if you somehow made a power reactor e g a CANDU supercritical the energy doubling time would be the order of hundreds of milliseconds This is slow enough to stop with mechanical or hydraulic devices but if these failed the thermal energy build up would destroy the fuel and the reactor geometry before the power rose above perhaps ten times normal ending the chain reaction The result is not minor as at Chernobyl but is not a nuclear bomb For further detail assuming you have read the physics Chapter see Appendix 3 Why a Reactor Cannot Explode Like an Atom
197. nt state is monitored from the main control room MCR and the safety functions of shutdown heat removal and containment can be performed from there Some accidents however can render the MCR uninhabitable or inoperable for example earthquakes fire in the MCR hostile takeover aircraft strikes and high radiation fields A secondary control area SCA is provided for such eventualities the operators relocate to the SCA and can perform the required safety functions from there 5 7 Problems 1 Select an accident from the case studies discussed in Section 3 and analyze it in terms of the five levels of defence in depth both barriers and objectives Which aspects were present Which were missing 2 Consider the ZED 2 reactor described in Section 2 7 What elements of defence in depth are present in this design What elements are missing Why might it be acceptable to have missing or weak levels of defence in depth 3 Using the SLOWPOKE 10MW heating reactor described in Section 2 7 describe the possible shutdown system requirements in terms of design rate depth signals margins environment and independence Give reasons do not simply copy existing material 4 Using the ZED 2 zero power research reactor described in Section 2 7 describe the possible shutdown system moderator dump requirements in terms of design rate depth signals margins environment and independence Give reasons do not simply copy existing material
198. ntact pressure and temperature and is determined by experiment The relationship between sheath and coolant temperature can be again derived from q h T J Jy 41 where q is the heat flux per unit area to the coolant Tc is the coolant temperature and h is the convective heat transfer coefficient At steady state all the heat produced in the fuel is trans ferred to the coolant so that for a length of element Hral q _ 42 2m a b l so that H 2 2 43 ToT o Qh a b Reactor Safety Design and Safety Analysis 140 The Essential CANDU Typical values in CANDU fuel are see Page 1972 for a summary ke 0 004 kW m C ks 0 017 kW m C hg 7 60 kW m7 C a 6 07 mm b 0 42 mm Heat capacity c does not enter the steady state equations but is important in transients The values for uranium dioxide and Zircaloy 4 are respectively 0 5 and 0 4 J g C The corresponding heats of fusion are 27 and 42 J g The relatively large value of c and the high melting point 2840 C for UO represent important safety characteristics typically one can almost double the stored energy relative to the normal operating point inside UO before it melts Metal fuel on the other hand has little heat capacity and melts at a lower temperature but has much higher thermal conductivity typically ten times more than UO 7 3 3 Internal gas pressure CANDU fuel has a collapsible fuel sheath which creeps down
199. o the NRX Reactor on December 12 1952 Atomic Energy of Canada Limited Report AECL 232 July 1953 Lewis 1990 B J Lewis C E L Hunt and F C Iglesias Source Term of lodine and Noble Gas Fission Products in the Fuel to Sheath Gap of Intact Operating Nuclear Fuel Elements Reactor Safety Design and Safety Analysis 164 The Essential CANDU Journal of Nuclear Materials Vol 172 197 205 1990 Lewis 1999 B J Lewis P Tume L G Bennett M Pierre A R Green T Cousins B E Hoffarth T A Jones and J R Brisson Cosmic Radiation Exposure on Canadian Based Commercial Airline Routes Radiat Prot Dosim Vol 86 No 1 pp 7 24 1999 Lewis 2009 B J Lewis F C Iglesias R S Dickson and A Williams Overview of High Temperature Fuel Behaviour with Relevance to CANDU Fuel Journal of Nuclear Materi als Vol 394 pp 67 86 2009 Liauw 1997 W K Liauw W S Liu R Y Chan TUF Validation against Reactor Trip Data at Darlington NGS Canadian Nuclear Society Conference Powering Canada s Future To ronto Canada June 8 11 1997 Liverman 1979 D M Liverman and J P Wilson The Mississauga Train Derailment and Evacuation 10 16 November 1979 Canadian Geographer Vol 25 No 4 pp 365 375 1981 Mathew 2004 M Mathew T Nitheanandan and S J Bushby Severe Core Damage Accident Progression within a CANDU Calandria Vessel AECL Chalk River Laboratories
200. o the four safety functions required in a nuclear reactor e shut down the reactor e remove decay heat e contain any radioactive material e monitor the state of the plant In this section we shall describe the major systems that perform these functions We shall concentrate on CANDU for our examples although other reactor types have similar systems First however we need to ask how much redundancy and independence we need for each safety function This concept is called defence in depth and is a fundamental underpinning of nuclear safety 5 1 Defence in Depth The concept of defence in depth was developed for military purposes At one level it consists of a series of physical barriers so that breaching any one barrier or even more does not lead to disaster The Krak Castle in Syria is one such example where an ancient intruder would have to breach the moat the outer wall the inner wall and the keep to capture the ruler More generally defence in depth requires that a defender deploy his resources such as fortifications field works and military units both at and well behind the front line so that a breach in the front line does not lead directly to defeat Exdiusion ares Figure 32 Defence in depth barriers The analogy for a nuclear power plant involves the physical barriers to release of radioactive material from the fuel namely the fuel matrix itself which we have seen is highly resistant to release of fission p
201. of a Level 1 member of the public above statutory limits Minor problems with safety components with significant defence in depth remaining Low activity lost or stolen radioactive source device or transport package No safety significance Below scale Level 0 8 3 Safety Aspects of Future Designs In the final part of this Section we shall be discussing some of the safety characteristics of modern advanced designs These designs fall into two categories evolutionary and advanced Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 155 1 Evolutionary designs as their name suggests build on operating experience in current plants and add those improvements which are warranted by experience 2 Advanced designs use passive concepts in their operation and particularly with respect to safety The original ideas behind the use of passive safety was to e simplify the design and make it cheaper to build operate and maintain e increase the real safety of the plant through systems which were less complex and more reliable because they used natural forces e increase the perceived safety of the plant for the same reasons In its broadest sense passive safety emphasizes the use of natural forces gravity self correcting neutronic feedback and de emphasizes systems which require large amounts of electricity pumps rapid automatic response complex logic
202. of change of internal energy rate of energy release into medium rate of en ergy loss from conduction or at any point peZ H kVT 36 where T is temperature k thermal conductivity p the density and c the specific heat Note the similarity to the neutron diffusion Equation 34 Consider one dimensional steady state heat conduction in a cylindrical fuel pin In cylindrical co ordinates dT 1dr H z 37 dr rdr ky where kris the fuel thermal conductivity Integrating H 2 T r T 0 38 4k giving the typical parabolic radial distribution of temperatures within an oxide fuel element as shown in Figure 65 Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 139 UO Gas gap Sheath Coolant Figure 65 Temperature distribution across a fuel pin We can apply the same method to the temperature drop ATs across the sheath for which the internally generated heat H 0 _ Ha log a b a 2ks a AT Tyi To where the indices i and o refer to the inner and outer surfaces of the sheath respectively It would be tempting to conclude that the temperature drop from the fuel centreline to the outer part of the sheath is simply AT ATs Not so the gap between fuel and sheath provides a further thermal resistance so we can write q h T Tg 40 where h is the gap heat transfer coefficient which is a very complex function of surface rough ness co
203. olatile fission Products ccccccccesseeecesseteeeeeeeneeeeeees 147 Table 15 Stages of organizational decline ccccceessssececeeecsesessaecececeescnesesasaeeeeeeseessesssaseeeeeeens 152 Table TE INESevent scaleminor a e a aa a a aaa cel duatad ive neant 153 Table 17 Categories of passive safety characteristics ccccesesscececeeecsesssseeeeeeeeseessessaeeeeeeeens 156 Reactor Safety Design and Safety Analysis 6 The Essential CANDU 1 Introduction The purpose of this chapter is to describe the safety characteristics of nuclear reactors and how their safety performance is predicted and verified 1 1 Overview Figure 1 summarizes the chapter concepts and their logical relationship We describe each box in turn Section 0 this section defines risk The type of risk depends on the activity Most people want their activities and surroundings to be safe However this is a meaningless ideal and impos sible to achieve in absolute terms because every activity imposes some risk Fortunately risk can be quantified Then society can set acceptable levels of risk in a reasonably objective manner The risk from nuclear reactors comes from accidental release of radioactive material Most of the radioactive material is in the reactor fuel Therefore one can postulate accidents which might allow radioactivity to escape and then design systems called mitigating systems or safety systems to prevent or control su
204. oled vertical pressure tube design using enriched 2 U UO fuel with on power refueling It used a direct cycle to produce electricity from twin tur bines Figure 15 from INSAG 1992 The reactor cutaway is shown in Figure 16 from Se monov 1983 There are two independent primary coolant circuits each containing about 830 fuel channels two steam separators and four pumps with one normally on stand by Refueling is done during operation from the top of the core A containment structure encloses the inlet piping in the lower portion of the reactor and provides pressure relief to a water pool located beneath the reactor Figure 18 Control and shutdown are performed by movable absorbing rods in lattice positions Emergency core cooling is provided for pipe breaks through a system consist ing of a combination of pressurized water accumulators and electric pumps The reactor has a void coefficient which varies from negative to positive according to the operating state It is limited in normal operation through control of operating conditions The containment is a pressure suppression type see Section 5 and is compartmentalized Figure 18 All inlet pipes are enclosed in leak tight compartments which connect to a bubbler pond or suppression pool below the reactor Steam discharged from a pipe break is directed to the bubbler pond where it condenses Each channel is accessible for refueling from the top through a large cover plate to
205. on of building integrity including the in tegrity of reactor building internal structural walls For new reactor designs it is a re quirement that the peak containment pressure be below design pressure Large steam line breaks are limiting in terms of early containment peak pressure and time available to introduce an alternate heat sink Small steam line breaks test the trip coverage and for designs where part of the steam line is within containment can lead to long term contain ment pressurization after the containment dousing water has been exhausted 6 12 Accident Walk Through Fuel Handling Accident 6 12 1 Initiating event A fueling machine carrying spent fuel may be either on the reactor attached to a channel or off the reactor in transit to the spent fuel port or attached to the spent fuel port and discharg ing fuel The spent fuel must be kept cooled and hoses are attached to the fueling machine through which high pressure D20 cooling water is pumped Should one or more hoses fail the integrity of the contained fuel is threatened The consequences to the reactor of a failure of a fueling machine on reactor e g spurious detachment from a channel are broadly similar to those of a single channel event except that more fuel bundles may fail 6 12 2 Event sequence simplified Assume that the fueling machine is off reactor Following loss of coolant through severance of one or more hoses the D20 inventory in the fueling ma
206. onitor the reactor but not control it Develop a set of design basis accidents for this reactor It is important to show how you did this not whether you get the same answer as the designer did there is not really enough informa tion given in the exercise to get the right answer it s your thinking process that counts If you are getting design basis accidents which seem inconsistent with an urban location how could they be made impossible SLOWPOKE ENERGY SYSTEM E HEAT EXCHANGER 12 metres 1 lt NATURAL CIRCULATION Figure 8 SES 10 Reactor Safety Design and Safety Analysis 28 The Essential CANDU 4 Consider a low energy research reactor used to determine fundamental physics parame ters It consists of a vertical cylindrical heavy water tank in which are suspended fuel assem blies Figure 9 and Figure 10 Salient safety related characteristics are somewhat simplified pool reactor natural circulation atmospheric pressure nominal zero energy a few watts no engineered heat removal systems low fuel temperatures with very few fission products in the fuel fuel rods suspended from hangars which can be arranged manually into different lat tice pitches and geometries Fuel rods are stored beside the pool capability to use fuel with a large range of enrichment ratios but not highly irradi ated fuel provision for insertion of a few channels consisting of fuel inside a pressure tube
207. ontact with the calandria tube This requires models of the pressure tube thermal mechanical tran sient behaviour to predict the extent of deformation and the pressure tube temperature and internal pressure when or if it contacts the calandria tube Such models are now part of the system thermo hydraulics code The behaviour of a channel subsequent to such contact depends on the heat transfer from the calandria tube to the moderator Further deformation will not occur if the calandria tube outer surface does not dry out or at least does not go into widespread film boiling This in turn depends on the heat transfer coefficient between the pressure tube and the calandria tube and the local moderator sub cooling For the first there are theoretical models and comparisons with experiment see e g Currie 1984 and Currie 1986 For the second a two or three dimensional prediction of moderator temperatures and hence flows is required Of most interest is the steady state distribution at the time of contact although transient calculations are required for in core breaks The current industry code is MODTURC CLAS See Xu 1999 for a brief description of MODTURC CLAS and a good summary of thermo hydraulic codes used in CANDU Following the release of fission products from the fuel their movement through the heat transport system to containment and then within containment should be predicted To date CANDU safety analysis has not used model
208. ontributors PSAs therefore proceed using the fol lowing methodology a define risk based criteria b generate a set of accidents to consider c predict the frequency and consequences of each event d show that the criteria are met Much of the rest of this Chapter covers these three methods 1 9 Problems 1 International bodies set limits for the dose an individual should receive from all man made sources A number of issues exist behind this framework Discuss the following four questions and draw reasoned conclusions a How should exposure from radiation used for medical purposes be controlled i e what factors should determine whether or not and how much radiation should be used b Should large power reactors have the same dose limits as small research reactors such as the McMaster Nuclear Reactor which also produces medical isotopes Why c You are a safety expert and have been asked to approve a smoke detector As sume that the smoke detectors give a whole body dose USNRC 2001 of 10 mSv per year to each of the 35 000 000 people in Canada What would your de cision be and why What factors would you look at in normal operation of the detector What is the most severe accidental exposure that can happen with a smoke detector and how would you assess its acceptability on a risk basis d What dose would you accept for voluntary lifesaving i e your colleague is trapped in a very high radiation field and you a
209. or U S Nuclear Regulatory Com mission Chen 2007 W L Chen et al Effects of Cobalt 60 Exposure on Health of Taiwan Residents Suggest New Approach Needed in Radiation Protection Dose Response Vol 5 No 1 pp 63 75 2007 CNSC 2008 Canadian Nuclear Safety Commission Design of New Nuclear Power Plants Regulatory Document RD 337 November 2008 CNSC 2008a Canadian Nuclear Safety Commission Safety Analysis for Nuclear Power Plants Regulatory Document RD 310 February 2008 CNSC 2011 Canadian Nuclear Safety Commission CNSC Staff Integrated Safety Assessment of Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 161 Canadian Nuclear Power Plants for 2010 INFO 0823 September 2011 CSA 2008 Canadian Standards Association Guidelines for Calculating Derived Release Limits for Radioactive Material in Airborne and Liquid Effluents for Normal Operation of Nu clear Facilities CSA N288 1 08 2011 Cross 1980 W G Cross The Chalk River Accident in 1952 Historical Perspective on Reactor Accidents Seattle Washington July 1980 Currie 1984 T Currie and J T Rogers Experimental and Numerical Studies of Heat Transfer Through Contact Areas of High Ellipticity ASWE National Heat Transfer Conference Pa per 84 HT 85 1984 Currie 1985 T C Currie J T Rogers and J C Atkinson A Study of the Technical and Economic Feasibility of Using a SSOWPOKE 3
210. or high energy A clear under standing of the meaning of terms such as passive and inherent is essential we shall follow IAEA 1991 8 3 1 Definitions Inherent safety refers to the achievement of safety through the elimination or exclusion of inherent hazards through the fundamental conceptual design choices made for the nuclear plant This is impossible for practical reactor sizes because it requires elimination of systems because they would not be needed to remove or compensate for decay heat excess reactivity and high energy releases It is possible to have inherent safety for low energy pool reactors such as the 20kW th SLOWPOKE 2 research reactor AECL 1976 the total potential reactivity addition can all be compensated for without fuel damage by the inherent negative feedback from fuel and coolant temperatures and the power at which this compensation is achieved can be absorbed indefinitely by the pool and the surroundings For larger reactors elimination of one or more of these hazards does however give a reactor an inherently safe characteristic Note that the hazard must be eliminated deterministically not probabilistically for example a plant is inherently safe against fires if it has no combustible material An ideal passive component does not need an external input to operate a passive system is composed of passive components and structures Ideally a passive system has no reliance on external mechanical or e
211. orporated safety enhancements while both remaining economical and posing less of an innovation risk to owners and operators Once adequate or even more than adequate safety is achieved factors such as economics and proven performance may become the determinants of the choice of technology particularly as electricity markets become more deregulated 8 4 Problems 1 Place the following accidents on the International Nuclear and Radiological Event Scale with brief reasons for your choice You may need to research some of these if they are not covered in the text NRX accident 1952 SL 1 accident Pressure tube failure in Pickering A G 16 Fire in Narora plant in India Chernobyl accident power runaway Three Mile Island accident core melt Fukushima tsunami induced accident pl 20 01 BN Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 159 8 Erosion corrosion of Davis Besse vessel head 2 If you work for a design organization or a regulator or a nuclear power plant evaluate its safety culture in terms of the safety culture framework defined by one or more of INSAG IAEA INPO etc Give reasons and evidence not just opinion 3 Look up information on any two modern designs e g Enhanced CANDU 6 Westing house AP1000 EPR Compare and contrast them as follows for each of the systems performing the fundamental safety functions shut down cool contain radioactive ma terial
212. ough cooling was later converted to closed loop cooling and continuously decontami nated using on line filtration In addition to prevent further release of airborne radioactive material from debris or leakage to ground or sea from rain the reactor buildings are being covered by weatherproof covers Finally the large amounts of highly contaminated water on site have to be treated and securely stored 3 2 3 3 Lessons learned Although it is still early after the accident to formulate complete lessons learned it seems reasonable that they will include the following issues 1 Ensure completeness of design basis accidents especially external events and in par ticular those with a cliff edge effect like flooding dramatic worsening of consequences for a small change in the severity of the event 2 Ensure that resources are available in the long term after a severe event to control cool and maintain for example portable generators with pre designed hookups to key equipment flexible hoses that can be run to sources of water 3 Ensure prolonged core cooling in the absence of off site power and failure of on site die sel generators 4 Ensure prolonged spent fuel bay cooling or make up and monitoring after a prolonged Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 53 loss of power 5 Prevent loss of monitoring e g design the station emergency batteries to last for a sig nificant length of
213. own gt ChannelG Channel H gt Channel J 5 2 10 Human interface An operator must Figure 36 SDS2 testing e Be notified that the shutdown system has tripped e Be able to confirm that it has actuated correctly e Have procedures to follow in case it has not Normally notification consists of an alarm window on the SDS panel showing for each chan nel that a trip parameter has passed its trip set point and a window showing that the SDS has fired The latter is not sufficient to establish that the system has indeed worked and an opera tor will have supplementary information available such as shut off rod position he will also check the neutron power measurement to ensure that it is consistent with a shut down reactor Finally should these latter measurements suggest that the system has not fired he will have and will follow backup procedures such as manually tripping the shutdown system manually firing the second shutdown system or dropping the mechanical control absorbers manual stepback We have now covered all the high level design requirements and design bases of the shutdown systems Our in depth example can be extended to the systems responsible for heat removal containment and monitoring but we will cover these more briefly 5 3 Heat Removal Systems The high level design requirements of the heat removal systems are determined by the answers to the following Reactor Safety Design and Safety Analy
214. ped branches Reactor Safety Design and Safety Analysis The Essential CANDU Unwanted movement of radioactive material From the core ris ae From the Enie spent fuel bay TORA y Mechanical Loss of Loss of Moderator damage heat removal moderator pip heat removal ro Dropped Earthquake y load Pump Loss of failure cooling water Fuel Mechanical overheating damage Increase Decrease in C Earthquake End fitting Damage in in power cooling ejection refuelling Loss of Loss of Loss of coolant flow heat sink coolant Large RCS pipe break Boiler tube rupture Small RCS Pipe break Single channel event Flow Loss of blockage Class IV power 2 T Loss of Loss of feedwater flow steam flow Feesdwater TRR Steam line line break pump failure break Figure 5 Simplified top down approach 2 2 Bottom Up Approach Another approach is to look at each component of the nuclear power plant and ask what is the Reactor Safety Design an
215. r A gt LBLOCA probability 10 year A3 LBLOCA probability 10 year A LBLOCA probability 10 year As LBLOCA probability 10 year Ag LBLOCA probability 10 year If A were true then P B A 1 107 2 5 x 10 Because we can assume that each reactor year of experience is independent the probability of each reactor year without a LBLOCA is 1 107 and P B A is just the intersection of 14 800 events Likewise we find that P BJA gt 1 10 8 3 7 x 10 P B A3 1 10 0 2276 P B A4 1 10 8 0 8624 P BJAs 1 10 8 0 9853 P B Ag 1 107 0 9985 If we knew P A P Ac we could calculate P A B or the probability that our statement A is actually true But we don t know Instead we can make an assumption called an a priori probability let s just assume that P A 1 N 1 6 which is the case labelled uniform prior in Table 5 i e that each hypothesis is equally likely Then using Bayes theorem we find that P A B 8 14 x 10 i e A1 is not very likely From Table 5 we see that A is more likely than A but that A to As are even more likely If we use these results to postulate a more likely series of P A labelled non uniform prior in the table we can see that P A B is further adjusted and we can conclude that the LLOCA frequency is significantly less than 10 The practical application of this is in assigning a reaso
216. r delayed or latent or stochastic effects The word stochastic means random and reflects the fact that if many individuals are exposed to a moderately high dose of radiation above about 0 2 Sv each one can predict the number of such individuals who will one day get cancer as a result of the exposure but one can not predict which individuals will be affected o inthe fetus of a woman who is exposed while pregnant teratogenic e Genetic or hereditary effects have been observed in animals but not in people There could be a small biological hazard if the plant uses cooling towers and does not keep them clean in which case they could become a source of bacterial growth Reactor Safety Design and Safety Analysis 12 The Essential CANDU UNSCEAR 2001 1 5 Types of Radiation in a Nuclear Power Plant The radiation in a nuclear power plant comes from fission fragments and from the activation of non radioactive material It therefore includes e alpha rays or helium nuclei e beta rays or electrons and e gamma rays or photons Neutrons are not normally a concern to the public in reactor accidents because they slow down very rapidly in the reactor structures however they can be a concern to workers if local shield ing is inadequate or in non reactor facilities in case of inadvertent criticality 1 6 Effects of Radiation The biological effect of radiation is measured in Sieverts Sv a unit which combines the energy
217. r mismatch also causes void formation in the channels leading to an increase in reactor power This initial phase is terminated by a reactor trip In the long term the fuel decay heat is removed by thermo siphoning to the steam gen erators until an alternate heat sink such as shutdown cooling can be initiated 6 10 3 Barrier protection Because this is an event that is expected to occur during the station lifetime the shutdown systems are designed to prevent sheath failure and to limit the stress levels in the HTS due to overpressure Ideally the fuel temperature excursion should be limited enough that plant operation can be resumed without the need for a fuel inspection 6 11 Accident Walk Through Loss of Secondary Side Heat Removal 6 11 1 Initiating event We give a particular case as an example failure of one of the main steam lines inside or outside the reactor building or the steam balance header on the secondary side This accident is more limiting than feed water line failures or loss of feed water pumps 6 11 2 Event sequence simplified A large steam line break causes a rapid depressurization of the affected steam generator and of the remaining steam generators as well because they are connected at the balance header Initially depressurization of the secondary side causes a corresponding depressurization and cooling of the primary side because of enhanced heat transfer through the steam generator tubes this causes negativ
218. radiation e g they do not live as long and therefore do not develop cancer as easily or are inherently more resistant to radiation damage e g insects Radioactive elements and compounds can be concentrated as they move up the food chain and therefore these pathways must be modelled to provide a scientific basis to show that humans are limiting this risk Safety can be thought of as the complement to risk however usually it is risk that is quantified and we shall focus on risk in this Chapter Because risk cannot be eliminated it must ideally be optimized This means a cost benefit analysis although such an analysis often looks only at the risk of a technology without factoring in benefits At a risk optimum the additional resources used to provide additional risk reduc tion would come at a disproportionate cost and any resources removed from risk reduction would cause a disproportionate increase in risk This situation is shown in Figure 2 This opti mum is never achieved in practice This is partly because the risk from nuclear power is per ceived to be greater than that of other technologies even if the numerical risk is the same due to social factors such as unfamiliarity with the technology and its association with atomic weapons and cancer Hence regulation of nuclear power often includes a penalty on the Reactor Safety Design and Safety Analysis 10 The Essential CANDU allowed risk called risk aversion Such a topic i
219. rator ce turbine tity Reactor i Generator Turbine WN ga me I ens yA J j LL Water to core a Water from turbine Figure 18 RBMK building cross section 3 2 Loss of Cooling Heat Removal Shutting down a power reactor does not eliminate the hazard the decay heat in the fuel if not removed will eventually cause the fuel to melt We now look at two such events Three Mile Island and Fukushima Dai ichi 3 2 1 Three Mile Island This summary uses material from Kemeny 1979 Yaremy 1979 Rogovin 1980 and Brooks 1980 3 2 1 1 Description The Three Mile Island reactor was a conventional pressurized water reactor a flow sheet is shown in Figure 19 The reactor core is inside a large pressure vessel unlike most CANDUs and BWRs the coolant is highly sub cooled and kept so by a pressurizer connected to the pressure vessel A pressure relief valve on top of the pressurizer provides overpressure protection for the reactor coolant system RCS Reactor Safety Design and Safety Analysis 46 The Essential CANDU relief valve ECC reflood tank pressurizer ECC drain tank storage tank generator turbine itl reactor AFW pump hold up tank Figure 19 TMI schematic 3 2 2 The event On March 28 1979 a maintenance error resulted in loss of feed water to the steam generators
220. re Terminal debris properties and coolability Figure 61 Core collapse As the moderator level continues to decrease the lower row of channels is uncovered and sags Reactor Safety Design and Safety Analysis 132 The Essential CANDU under its own weight as well as that of the supported channels Simpson 1996 This process continues as more channels are uncovered As sagging increases channel segments separate near the bundle junctions by sag induced local strain A suspended debris bed is thus formed which moves downward with the falling moderator level Because a submerged channel can support only a certain number of channels the ends of those channels are expected to fail by shear This process will increase the loading on the channels below leading to progressive failure of the channels and resulting ultimately in the collapse of the reactor core into the water pool in the bottom of the calandria vessel To address the plant state once the debris has collapsed to the bottom of the calandria Rogers et al Rogers 1995 developed an empirically based mechanistic model Figure 62 of the collapse process which showed assuming that the reactor vault is kept full of water that the end state consists of a bed of dry solid coarse debris irrespective of the initiating event and the core collapse process Heating of the debris bed is relatively slow because of the low power density of the mixed debris and the spatial dispersion provided
221. re asked to go in and save him Give reasons 2 A nuclear designer is trying to optimize his design He knows of an accident with a frequency of 10 per year which leads to a contained core melt and causes the following effects a Permanent damage to the plant i e cannot be recovered b Evacuation of nearby people 5 000 for three days Reactor Safety Design and Safety Analysis 18 The Essential CANDU c No prompt fatalities d Acollective dose to the closest population of 100 Sv He can reduce the frequency but not the consequences of this accident by a factor of ten by putting in an extra heat removal system costing M 10 in capital costs and an extra 100 000 per year in maintenance and operating costs How would you make this decision in a quantitative way Hint Consider expressing all accident consequences in terms of dollars Then calculate the total average annual costs in each scenario Some organizations assign a cost per Sv of dose find out typical values This problem will take you some time 3 A massive spontaneous failure i e due to a material flaw not as a result of a core melt in an LWR pressure vessel would simultaneously breach all the physical barriers which prevent radioactive material from escaping the fuel the primary coolant pressure boundary and the containment Research and describe the approach taken by LWR designers to show that this is incredible Does this issue apply in any way to CANDU
222. reactor power excursion that is not shut down It assumes that you have read the reactor physics Chapter Some material is taken from Meneley 2003 All material is in the public domain Assume a pure plutonium core surrounded by a shaped charge of high explosive The core is initially subcritical and is rendered supercritical by compression from the explosive The neu tron kinetics follows the familiar equation delayed neutrons are irrelevant here dN t aN p P N t 69 dt where N t is the neutron density p is the reactivity Gis the delayed neutron fraction and is the prompt neutron generation time Solving PP N t NO e 70 For a weapon a typical value of p fis 1 7 so that Gis pretty well irrelevant Because critical ity is achieved by fast not thermal fission is about 10 seconds or one shake The e folding time when the population of neutrons increases by a factor of 2 7 is therefore 1 7 shakes After 33 shakes the number of neutrons is Reactor Safety Design and Safety Analysis 178 The Essential CANDU N 33x 10 x e 033x10 2 3x10 71 Using very crude assumptions such as not adding in the contribution of previous generations of neutrons and not counting energy losses and core expansion we can estimate the order of magnitude of the energy produced If each fission event generates 180MeV of usable energy and if for each incident neutron absorbed in Pu two fast neutrons ar
223. roducts except at melting temperatures the fuel sheath which prevents the gaseous fission products in the fuel sheath gap from escaping the heat transport system the containment and the exclusion zone which provides dilution rather than a physical barrier see Figure 32 A complementary approach to defence in depth is to define a series of five successive levels e Prevent abnormal operation and system failures Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 77 Control abnormal operation and detect further failures Control accidents within the design basis Control severe accidents Apply off site emergency response These are objectives rather than physical barriers Note that the last is largely independent of reactor design There are various formulations of these concepts see INSAG 1996 from which the following summary Table 7 is extracted Table 7 Levels of defence in depth Levels of defence Objective Essential means in depth Level 1 Prevention of abnormal operation and Conservative design and high failures quality in construction and operation Level 2 Control of abnormal operation and detec Control limiting and protec tion of failures tion systems and other surveillance features Level 3 Control of accidents within the design Engineered safety features basis and accident procedures Level 4 Control of severe plant conditions includ Complementary measures ing prevent
224. ry shield mixture instrument well control rod core structure gravel dry shield mixture thermal shield pressure vessel insulation air space support cylinder lead thermal shield and cooling coils feed water spray ring separator return line purification purge line feed water inlet boron spray ring steam line control rod drive motor control rod drive boral shield hme eS eee a et scale of feet The Essential CANDU gaa a a a a cane ee 1 2 0 2 3 4 6 4 operatin float lev N fe ii lh 7 f ET PEES i aa 7 If G K E Z ae 6 Pare cee TE 2 2 active core Hees aa eens uit sae sA pey n Figure 12 SL 1 cutaway Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 35 Table 4 SL 1 chronology 500 msec Central control rod withdrawal starts 120 msec Reactor goes critical with rod at 16 7 in 40 6 cm Central rod at 20 in 50 8 cm period 3 9 0 5 msec 2 4 0 3 Ak 0 Peak power burst 1 9 0 4 x 10 MW 2 msec Prompt nuclear energy release ends total nuclear energy of excursion 133 10 MW sec 24 10 MW sec in metal water reaction 20 of plate area destroyed centre 16 elements 50 melted central shroud and control blade ejected from core Water column above core accelerated by average pressure 500 psi or 35 atm to a velocity of 160 ft sec 49 m s
225. s requirements for the cases of Fo E1 E2 i e if zero one or two rods fail to drop Hence the system unavailability A is the sum of all the failure probabilities N 2 A P E 1 P E 29 k 3 k 0 The conversion to the second term makes the calculation much easier because there are fewer terms to sum Assuming that the rods fail independently and that the failure rate is A then the probability of a given rod failing on average is lt F gt x Z p for conciseness 30 as before The success probability is 1 p In general the probability of event Exis P E E N 1 n k _ k 31 E pm p p 31 The factor gives the number of possible ways for the event to happen the factor N N k k 1 p is the probability that N k rods all successfully drop and the factor p is the probability that k all fail to drop 4 2 3 4 Fault trees A more systematic way of calculating system unavailability is through fault trees One starts at the top with the event of interest usually a system failure Then one determines each and every immediate cause of such an outcome If either of several immediate causes is sufficient to cause the top event then they are joined by an OR gate please review Appendix 1 Basic Rules of Boolean Algebra for a refresher on probability theory Conversely if all of several immediate causes must occur to cause the top event then they are joined by an AND gate Both AND and OR gates can
226. s beyond the scope of this Chapter see Slovic 1987 or Siddall 1981 for examples However we still need an objective means of quantifying risk in terms of frequency and consequences We start with the latter what are the conse quences of a nuclear accident Total cost Cost optimum zero slope Cost of risk Cost to society Cost of risk mitigation Risk Figure 2 Risk optimization 1 4 Hazards from a Nuclear Power Plant Most of this chapter covers radiological hazards However we will start by systematically listing possible hazards to make sure not to miss one A hazard in a broad sense can be physical chemical biological or radiological Nuclear power plants do not pose a physical hazard due to the nuclear process there is no risk of off site injury due to a nuclear explosion the explosion at Chernobyl was a steam explosion and that at Fukushima a hydrogen one both with far less energy than a nuclear explosion would have generated A simple explanation for this is the following an atomic or nuclear bomb works by making a mass of fissile material supercritical and holding it together long enough to reach very large energies The hard part is holding it together which requires three things 1 banging two sub critical masses together very fast so that the supercritical mass formed does not disintegrate due to heating as the pieces approach each other and 2 ensuring that the source of neutro
227. s conservation equation for node i is dM W 46 k where the W are all the mass flows into and out of node i along links k The conservation of momentum equation is applied to link k and is ignoring gravity M Aler Ae i Me 47 d L D 2g PA where for the link W is the mass flow in link k in Figure 66 between nodes i and j A is the flow area P is the pressure in the nodes connected to the link Lis the length D is the hydraulic diameter fis the friction factor fL D k is a pressure loss coefficient which accommodates changes in flow area en trance effects etc The first term is simply Newton s law applied to a fluid to which a pressure difference is applied the second term is the loss due to friction plus other effects that cause pressure loss Terms for pumps and gravity can be added Conservation of energy is applied to each node i as follows dU ae X Wren YW lont Q 1 48 where U is the internal energy of node i Q is the heat generated in node i The summations are the rates of energies coming into and out of node i due to mass transfer These three equations are applied to each phase There are four unknowns e g mass mo mentum temperature and pressure The fourth equation needed is the equation of state for Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 143 each fluid typically in the form pHs Pat In safety analysis
228. s for fission product transport within the HTS and for deposition on surfaces such as end fittings and feeder piping although this is clearly an area which could be included and has been the subject of intensive R amp D over a number of years However the partitioning of fission products between steam and water phases at the break and within containment has been modelled as has long term formation and transport of organic iodides within and from the water pool See Wren 1999 and Wren 2001 The containment pressure transient calculation uses the transient energy release from the break and includes sub models for dousing containment air coolers fission products hydrogen transport and natural and forced circulation Multi node multi fluid water steam air hydro gen three dimensional containment models are used for this analysis The GOTHIC interna tional code is used for CANDU see e g Andreani 2010 The final step is calculation of dose to the public The atmospheric dispersion model typically uses a Gaussian plume model to predict exposure as a function of distance from the station the input is the predicted transient release of radionuclides from containment for each accident See Boss 2006 for an example The weather assumed is traditionally the worst weather occurring more than 10 of the time at the site Exposure to dose calculations use standard ICRP recommended conversion factors ICRP 2010 ICRP 2012 Figure 4
229. se we have not accounted for decay the half life of Ar is 1 83 hours 7 9 Problems 1 Calculate the dose to a person due to the release of 1000 Ci hour of xenon 133 from a CANDU Assume that the release point is 20 m high and the receptor is 1 km distant Assume further that the person stays in that location for 15 minutes Consult CSA N288 1 for any models you need You should be able to find dispersion factors in the public annual environ mental monitoring reports issued e g by OPG 2 How many grams does 1000 Ci of iodine 131 represent Hint remember or look up the half life 3 Calculate the average volumetric heat generation of the fuel in a GOOMW CANDU at 100 power At what percentage power assuming the same heat removal from the fuel as in normal operation would the centre of the average pin melt 4 Do the following a Calculate the amount of hydrogen produced by oxidation of 25 of the Zircaloy in the sheaths in a CANDU this is not atypical of a severe accident such as a LOCA LOECC b Calculate the amount of energy released you will need to look up the heat of reaction c Assume that this energy is released starting from 30 minutes after the accident and ending two hours afterwards Compare the energy to the decay heat produced in the same time d Now assume that the hydrogen is transported into containment and burns Calculate the energy produced by the burn Reactor Safety Design and Safety Anal
230. sesaeaeseeeesesssessaaeeeeeeeens 107 Figure 48 Contact boiling tests aaisa n a a a T a a aaae aat 108 Figure 49 Heat transfer regimes on outside of calandria tube sssssssssssssssssssserresresrssssrrersses 109 Figure 50 Large scale containment facility cccccsccccccccessesseececeeeescsessaeaeseceesenssesssaeeeeeeeens 110 Figure 51 Large scale vented combustion facility sososseeeeesessssesreesersssesrrersessssesrrereesssssserne 110 Figure 52 Containment test facility cccccccccccssssssssececeeecessesseaeseceeeescsesssaeseseesesenssnsssaeeeeeeeens 111 Figure 53 a E ENE E EEEE A A E E A A 116 Figure 54 Core flow vs break size for a group Of Channels c cccccccccscsssssssececeeeeessessaeeeeeeeens 117 Figure 55 Typical LBLOCA timescale ccccccccccccscsssssssececeeccsssesseaesececeescsesesaeaeseeeesenssnsseaseeeeeeens 118 Figure 56 Containment pressure transient for 100 ROH LOCA wu eeesceeeseseeeeeeseeeeeeseeaeeeeeees 119 Figure 57 Response of PWR and CANDU to reactivity increase ccceesessssececeeecessessseeeeeeeens 122 Figure 58 Importance of reactivity effects ececcescssccccececessesssececeeeesceessasaeseceesenssesssaeeeeeeeens 123 Figure 59 Sources of water near the fUEl ce ceceessssececececsssesseaececeeeeeceessaeseseeeeseessessaaseeeeeeens 130 Figure 60 Channel collapse in severe core damage accident ccccccccsssessssececeessessesssseeeeeeeens 131 Figure 61
231. sign requirements 5 4 1 Performance requirements Sudden large primary pipe breaks have never occurred in a Western nuclear reactor the prob ability is less than 10 per reactor year A modern CANDU reactor has between 360 and 480 fuel channels and therefore 720 and 960 feeder pipes The probability of a small pipe break is about 107 per reactor year based on experience which is an issue not only for safety but also for plant investment protection Therefore the ECCS has safety requirements for both large and small breaks and in addition investment protection requirements for small breaks only The ECC safety requirements for all breaks are to e meet public dose limits by limiting the extent of fuel damage e prevent pressure tube failure e ensure that the fuel in the fuel channels retains a coolable geometry and for small breaks in addition to e prevent sheath failure Reactor Safety Design and Safety Analysis 92 The Essential CANDU 5 4 2 Location of water injection The CANDU ECC injects light water into the reactor inlet and outlet headers in both heat transport system loops for reactors which have two loops eight headers in all in CANDU 6 Figure 40 Because each channel is connected to two headers and the headers are above the core this provides a water pathway to every channel in the core The disadvantages of this scheme are e water injected near or at the break discharges without removing heat from the fuel
232. sis Reactor Safety Design and Safety Analysis 87 e How much heat must they remove full power decay heat decay heat after x min utes etc e Where are they connected primary side secondary side etc e How are they initiated e Under what conditions can they operate pressure temperature e What is their reliability 5 3 1 Heat removal capability Heat removal at high power is performed by the primary coolant flowing through the fuel channels and transporting the fuel heat to the steam generators Coolant is transferred across the steam generator tubes to the main steam and feed water systems The case of a sudden loss of heat removal from the secondary side e g turbine trip with loss of condenser vacuum must be provided for so that a capability for 100 steam dump to atmosphere is provided This is accomplished by banks of main steam safety valves MSSVs on the main steam lines Full steam flow is needed only until shortly after the reactor has tripped For economic reasons another subsystem is provided which can dump up to 60 steam directly from the steam generators to the condenser This is used for poison prevention that is if the turbine trips but the operator thinks that he can restart it reasonably soon instead of shutting the reactor down he can set back the reactor power to a level just sufficient to prevent a poison out due to xenon build up The heat must still be removed however and therefore the design
233. son and J G Beckerley The Technology of Nuclear Reactor Safety MIT Press 1965 Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 167 Tregoning 2008 R Tregoning L Abramson and P Scott Estimating Loss of Coolant Accident LOCA Frequencies through the Elicitation Process United States Nuclear Regulatory Commission report NUREG 1829 April 2008 UNSCEAR 2000 United Nations Scientific Committee on the Effects of Atomic Radiation ANNEX J Exposures and Effects of the Chernobyl Accident UNSCEAR 2000 Report to the General Assembly 2000 UNSCEAR 2001 United Nations Scientific Committee on the Effects of Atomic Radiation Hereditary Effects of Radiation UNSCEAR 2001 Report to the General Assembly with Scientific Annex 2001 UNSCEAR 2008 United Nations Scientific Committee on the Effects of Atomic Radiation ANNEX D Health Effects due to Radiation from the Chernobyl Accident UNSCEAR 2008 Report to the General Assembly 2008 USAEC 1962 U S Atomic Energy Commission Idaho Operations Office Nuclear Incident at the SL 1 Reactor report IDO 19302 January 1962 USAEC 1962a U S Atomic Energy Commission Final Report of SL 1 Recovery Operation report IDO 19311 July 1962 USAEC 1962b U S Atomic Energy Commission Additional Analysis of the SL 1 Excursion report IDO 19313 November 1962 USDOE 1986 U S Department of Energy Report of the U S Department of Energy s
234. sting reactors The containment isolation system is likewise tested during operation to prove that its unavailability target is not being exceeded Reactor Safety Design and Safety Analysis 98 The Essential CANDU 5 5 5 Other functions Containment also acts as a barrier to protect reactor systems from external events tornadoes turbine missiles aircraft crashes and malevolent acts These may impose additional design requirements on the structure Hydrogen can build up in containment after an accident After a LOCA hydrogen is formed slowly by radiolysis of the water circulating through the core A severe accident such as a LOCA plus loss of emergency core cooling can also produce hydrogen early on because of the chemi cal reaction between the hot fuel sheaths and the steam in the fuel channels cf Sections 3 2 2 and 3 2 3 2 The containment building promotes some mixing of hydrogen due to natural circulation Air cooler fans provide forced mixing In addition igniters are placed in various rooms to burn any local hydrogen concentration before it can detonate Passive autocatalytic recombiners can be used for long term hydrogen control they do not need electrical power or controls They present a catalyst bed to the containment atmosphere on which the hydrogen recombines with oxygen The heat of reaction causes a convection flow through the device which helps mix the containment atmosphere 5 6 Monitoring For most accidents the pla
235. such as headers and channels Network means that we model parallel paths e g fuel channels ECC and several components connected together at the same point e g at the headers Codes that model the heat transport system cover e equations of state for the various phases e component models for steam generators fuel channels fuel headers secondary side valves pumps etc e correlations for pressure drop heat transfer including critical heat flux CHF flow regimes e constitutive relationships these are equations describing transfers of mass momen tum and energy between the phases The sets of constitutive relationships depend on the flow regime e efficient numerical solution schemes e plant controllers Most thermo hydraulic simulation codes for reactors break the circuit up into nodes containing mass and therefore energy and links joining the nodes which are characterized by flow length roughness diameter etc Mass and energy conservation equations are written for the nodes and the momentum conservation equation is written for the links We shall show simplified examples here one dimensional flow in a level pipe Figure 66 shows two nodes i and j connected by a link k Reactor Safety Design and Safety Analysis 142 The Essential CANDU Wi Lis Ax f D 0 ete Mi Pis Pis i Qi ees Mi Pj Ej ejs Q etc etc Link Node Node Figure 66 Node link structure The mas
236. t originally implied that as long as the plant was designed to withstand design basis accidents all would be well The accidents at Three Mile Island and Chernobyl showed the weakness of this concept At Fukushima the design basis was wrong and was known to be see IAEA 2011 p 75 This means that design basis accidents do not define a strong boundary between possible and incredible Beyond design basis accidents are now of much interest indeed although infrequent they are the only ones which could have significant consequences Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis The mitigating systems must be able to handle both design basis accidents and accidents Introduction Section I Mitigating _ Systems Design Basis Accidents Analysis Sections 6 amp 7 Section 2 Plant safety as designed Section 8 Plant safety as operated Future Trends Section 9 Figure 1 Chapter concept map Safety Culture Good Operating Practice identified by the probabilistic approach They are described in Section 5 The methods to confirm that the mitigating systems are effective are Probabilistic safety analysis PSA which drives design requirements for and verifies the reliability of normal and mitigating systems It also ensures to the extent practical that an accident which requires a mitigat
237. t points 6 9 2 Event sequence simplified An increase in reactor power causes a flow power mismatch which has the potential to damage the fuel If the ramp is continuous shutdown system bulk overpower trips can be designed to prevent fuel damage However an increase in power from a distorted flux shape which is either very slow or stops at an elevated power could permit fuel to remain in a dryout condition even if the bulk reactor power is below the average overpower trip set point Analysis of such events determines the trip set points for the spatially distributed regional overpower ROP flux detectors on each shutdown system Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 127 6 9 3 Barrier protection As with a small LOCA because loss of reactivity control may occur during the station lifetime the shutdown systems are designed to prevent sheath failure 6 10 Accident Walk Through Loss of Forced Circulation 6 10 1 Initiating event Loss of Class IV electrical power to the HTS pumps causes them to run down and eventually stop Partial loss of forced circulation is also possible particular cases include a partial loss of Class IV power to two HTS pumps a single HTS pump shaft seizure and a single pump trip 6 10 2 Event sequence simplified The flow reduction causes a mismatch between reactor power and coolant flow that can lead to fuel overheating and HTS pressurization The powe
238. t was located at the Atomic Energy Commission National Reactor Testing Station in Idaho Falls Idaho Figure 12 shows a cutaway of the reactor vessel At the time of the accident on January 3 1961 there were 40 fuel assem blies and 5 control rods in the core 3 1 1 2 The event Three operators were engaged in reassembling one of the control rod drive mechanisms while the reactor was shut down Part of the assembly process required raising the shaft of the rod a limited amount by hand This was done by unclamping the rod and raising it the rod was then re clamped and the only remaining task was to unclamp and lower the rod For some unknown reason the rod was instead raised rapidly making the reactor super prompt critical The pressure vessel jumped up nine feet with the chain reaction being compensated for probably initially by the negative feedback due to heating of the fuel and moderator and then by the melting and vaporization of the fuel itself Two operators were standing on the lid at the moment of the accident One was thrown to one side as the vessel rose The other was impaled on a shield plug ejected from the top of the reactor and was carried up to the roof of the reactor room where he remained suspended The third man was killed by radiation and flying debris Table 4 gives a chronology of the events Reactor Safety Design and Safety Analysis 34 WONAUAWN gt 0 Legend laminated top shield concrete shield d
239. team and empties then more slowly as the decay heat is steamed into containment It is possible to build a high pressure containment to withstand this at least for some time To date CANDU containments have had some means of short term pressure suppression and or some means of long term heat removal to provide for these two phases of an accident the addition of pressure suppression enables a lower containment design pressure Dousing tank Self actuated dousing system Self actuated relief valve stream Reactor building Vacuum building Figure 43 Vacuum containment concept Large nuclear stations in Ontario use multi unit containment in which parts of the containment envelope are shared among four or eight units The individual reactor containment buildings are all connected to a common vacuum building kept at very low pressure Inside the vacuum building is an elevated water tank when a LOCA occurs the vacuum valves open self actuated on pressure differential thereby connecting the vacuum building to the reactor building s and the contents of the water tank are sprayed over the vacuum building volume Figure 43 from Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 97 Morison 1987 The sprays are likewise self actuated on the pressure differential caused by the LOCA The water sprays condense the steam and reduce the internal pressure The con tainment pressure
240. ted to prevent recriticality and therefore is an active means of shutdown 8 3 3 2 Remove decay heat In passive designs removal of decay heat from the fuel is normally done by thermo siphoning to an elevated heat sink usually a heat exchanger in a large supply of water high up in the build ing Alternatively the entire core and its surroundings can be flooded by pouring water by gravity from an elevated supply the core heat is then turned to steam which flows to and is removed passively from containment In some but not all passive designs decay heat is removed at low pressure therefore some means of depressurizing the heat transport system is required first This is done using a Category D device CANDU offers inherent characteristics for passive heat removal in severe accidents as discussed in Section 6 14 Existing and future CANDUs therefore incorporate the features desired in next generation reactors spreading of core debris so it can be easily cooled the calandria shell and or the reactor vault shield tank and passive cooling of the damaged core moderator and or reactor vault water 8 3 3 3 Contain radioactive material The containment structure is already passive category A However for a number of other Reactor Safety Design and Safety Analysis 158 The Essential CANDU containment functions a passive approach can be taken 8 3 3 3 1 Ventilation isolation The building can simply be sealed during operation or th
241. the opportunity to interact with quantities of water in the reactor vessel and containment This is in contrast to Chernobyl where the moderator caught fire Fission products such as iodine and cesium combine when released from overheated fuel to form cesium iodide an aerosol However when Csl meets water it dissociates CsI gt Cst r and is thereafter very difficult to remove compare this to trying to remove chlorine after dissolving table salt NaCl in water TMI taught that in terms of public safety wetter is better The lifetime health effects on the surrounding population were predicted to be effectively zero 3 2 2 1 Lessons learned 1 A number of obvious improvements were needed to valve position indicators event log ging and alarm prioritization the printers were swamped by the number of alarms Reactor Safety Design and Safety Analysis 48 The Essential CANDU running far behind the event as well as provision of diagnostic aids to the operators 2 The prescriptive approach to reactor safety in the United States which was based on regulatory driven lists of design basis accidents had focused attention on too narrow a range of accidents not just because it omitted severe accidents but also because it fo cused on bounding design basis accidents and treated superficially the supposedly less severe DBAs such as a small LOCA 3 PSA became far more important and more widely used to define and therefore pre
242. thin them initially located above the core and which would melt and insert into the core on increasing temperature This system needs no external intelligence but does have a moving fluid placing it in Category B Even more basic fuel with a strong negative temperature feedback coefficient is certainly a passive form of reactivity compensation If it truly shut down the reactor it would be in Category A However negative feedback does not shut down the reactor after say an inadvertent insertion of positive reactiv ity control rod withdrawal it simply allows the power to rise and then equilibrate at a level where the negative reactivity due to the higher fuel temperature offsets the reactivity addition of the control rod One still needs to be sure that the power can be removed somehow by passive means and that the fuel is not damaged A strong negative coolant temperature feedback works the same way but raises the added concern that fast insertion of cold water could cause a rapid power increase before the negative fuel or coolant temperature had time to compensate for it The SLOWPOKE 2 reactor dealt with this problem by physically limiting the amount of reactivity that it was possible to add an alternative is to limit physically the rate at which it can be added so that negative feedback has time to take effect Removal of moderator in LWRs after a LOCA is an example of passive shutdown but the ECC water that replaces it must be bora
243. to the pressure boundary or at least no risk in addition to that from the initiating event 5 2 6 Signals A shutdown system must detect an accident soon enough that the analysis limits are met Some of the commonly used trip signals are listed in Table 8 this list is illustrative rather than complete Manual trip is credited if the time scales are long typically fifteen minutes from the first clear Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis signal of the accident in the main control room and if there is no practical alternative Accident Loss of reactor power control Loss of forced circulation Medium to large loss of coolant Small loss of coolant Loss of feed water Large steam main failure Table 8 Typical trip signals for CANDU Symptoms Reactor power rises Reactor power rises rapidly Heat transport system pressure rises Coolant flow drops HTS pressure rises Reactor power rises Reactor power rises Reactor power rises rapidly Containment pressure rises Coolant flow drops Coolant pressure drops Pressurizer level drops Coolant flow drops Containment pressure rises Moderator level rises in core break Coolant pressure drops HTS pressure rises Feed water flow drops Steam generator level falls HTS pressure falls Pressurizer level falls Steam generator level falls Feed water pressure falls Reactor power decreases Containment pressure ris
244. tor in the control room was derived from the valve actuating signal not the actual valve stem position and partly because the pressurizer level was rising due to the loss of coolant from the top the opposite of what one would expect for loss of coolant elsewhere in the RCS The operators had been trained when operating a solid system no boiling to use pressurizer level as a measure of circuit inventory and they came to the erroneous conclusion that there was too much water in the system If water is added to a sub cooled system the pressure can rise very fast indeed when the steam Figure 20 TMI core end state space in the pressurizer is filled up and the operators were trying to avoid this Their actions over the next several hours were complex and confused clearly indicating that they did not understand what was happening and did not have the training or the tools to do so Loose debris Crust Solidified molten material Remaining fuel rods 20 tons of melted fuel The containment did its job Small amounts of noble gases and iodine were released through a leakage recovery system which could not be isolated because that would also stop primary pump seal cooling and by venting the make up tank to control its pressure It is a credit to the containment design concept that a partial core melt resulted only in very small releases In addition this was a wet accident i e the radioactive material had
245. tpone consequences For example for accidents which are expected to happen perhaps once or more in the plant lifetime i e anticipated operational occurrences or AOOs the shutdown systems should act early enough to prevent fuel sheath failure thus avoiding any challenge to the HTS and containment as well as the cost of clean up This category includes among others loss of Class IV power a very small LOCA or a failure in the reactivity control system In turn prevention of fuel sheath failure generates a number of secondary criteria which we will cover in Section 6 For loss of heat sink accidents a subsidiary requirement is that the shutdown systems should act soon enough to give the operator adequate time to bring in a backup heat sink typically 15 to 30 minutes although new designs aim for at least eight hours before operator action is required For rare accidents such as a large LOCA one should limit but not necessarily prevent fuel damage to reduce the challenge to containment and ensure that the fuel is not made so brittle from the Zircaloy steam reaction that it forms debris and cannot be cooled by ECC see Section 6 Limiting fuel damage in a large LOCA is a task shared between shutdown and ECC the job of the shutdown system is to deliver the fuel to the ECC in reasonable condition so that ECC can remove decay heat from a known fuel geometry Finally in any accident shutdown systems should act early enough so that there is no risk
246. ts short lived precursors is y atoms per fission then the rate of production of this nuclide is Rate of production 3 13x10 Py atoms sec 52 The activity at time t of that fission product while in the core of the reactor is a 3 13x10 Py e disintegrations sec 53 or in Curies 1Ci a 3 13x10 Py 1 e Bq x 54 i 7 q 3 7x10 Bq If the activity is saturated that is if A gt gt 1 Equation 54 reduces to a 8 46x10 Py Ci 55 Table 14 gives the inventories of the most important noble gases and iodine fission products computed for a typical 1000 MWe PWR plant at the end of a fuel cycle This example is illustrative the time average inventory would be different in a 1000 MWe CANDU partly be cause of on power fueling and lower burnup Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 147 7 8 2 Atmospheric dispersion Consider a reactor containment after an accident in which the concentration of a particular nuclide is C Bq m Assume a leak rate of V m s into the atmosphere at a height of h metres as shown in Figure 68 The release rate Q is given by O Bq Sec C Bq m xV m sec 56 This release is dispersed into the surrounding area by the release plume For given weather conditions with wind velocity u and other data the concentration of radioactive material at some distance and direction from the source can be calculated fro
247. ubsection includes problems for further self study and the occasional worked example 1 2 Learning Outcomes The goal of this Chapter is for the student to develop e An understanding of the approach to nuclear reactor safety concepts and safety de sign e Familiarity with the hazards involved in nuclear power reactors e Knowledge of the concepts of risk risk quantification and risk optimization e An understanding of the root causes of key real world accidents leading to respect for the reactor core e The ability to develop systematically a list of credible accidents for a nuclear power plant design e The ability to understand and create simple fault trees and event sequence diagrams e Familiarity at an overview level with the physical and mathematical models used in safety analysis It is assumed that the reader is generally familiar with the material in prior chapters 1 3 Risk Risk involves three key ideas e all technologies involve risk e every endeavour involves a risk benefit trade off and e risk can be quantified and reduced to an acceptably low level Nuclear reactors hydro dams and fossil fuel electrical generating stations are all inherently dangerous The nature of the hazard in each case is quite different Hazards can be sudden acute or delayed For hydro dams an acute hazard is rupture of the dam causing massive floods downstream A delayed hazard is build up of toxic mercury in the water behind the dam due to
248. uel may be damaged but remains inside intact pressure tubes Decay heat is removed from the channels to the moderator Example loss of coolant plus loss of ECC with moderator cooling available A variant on this is limited core damage in which one or a few fuel channels fail but the others remain intact Either configuration is unique to a channel reactor where the heat can be removed by the moderator there is no analogy to this half way point in LWRs in which a severe accident implies loss of core geometry 2 Severe core damage accidents in which the fuel channels fail and collapse to the bot tom of the calandria i e the moderator heat sink is ineffective Example loss of cool ant plus loss of ECC plus loss of moderator heat removal Analyses of accidents in the first category use similar tools to those for design basis accidents and will not be discussed further CANDU is characterized by large volumes of water around the core consisting of the moderator and the reactor vault or shield tank Figure 59 Even with no active heat removal from either system it takes about 20 hours for the water to boil off and for the debris to end up on the vault floor Snell 1988 Reactor Safety Design and Safety Analysis 130 The Essential CANDU Continuous Time to heat up Heat Removal and bailoff no Capability heat removal full power Shield Tank 0 4 10 to 20 hours OADM ENO SHEL 2 welt CO NOCONA AOO POON MUED
249. uires that each design basis accident be analyzed assuming complete failure of one shutdown system no matter how low the frequency The reason goes back to 1952 when the core of the NRX research reactor in Chalk River Ontario was damaged in an accident Lewis 1953 Hurst 1953 in which the power increased and the shutdown system was impaired One of the causes was a complex control shutdown system design the shut off rods were hydraulically driven and their performance was sensitive to dirt in the system The accident resulted in a large subsequent emphasis on shutdown system reliability testability and robustness to the extent that even though the shutdown systems in CANDU bear no resemblance to those in NRX lessons having since been learned about shutdown system design the CANDU reactor had to be designed to survive an accident even if the shutdown system failed Although one could show that the most severe accident without shutdown a large LOCA would not release enough energy to break containment the designers decided eventually to add another fully independent shutdown system so that even if one shutdown system failed completely the other could be credited The accident at Fukushima in 2011 JNTI 2011 is a recent example of a poor choice of the parameters for a design basis accident Although the plant had a Design Basis Flood level it was clearly inadequate and since the accident all operating plants have had to change th
250. undant signal plus loss of moderator cooling Write down the expected event sequence based on the list below and estimate the approximate time of e reactor trip e start of fuel overheating e failure of first channel e core collapse e shield tank failure e containment behaviour Only an approximate answer is sought to do this accurately could take weeks If you cannot obtain the physical data in some cases especially for the last item use symbols to show how you would do the calculation One approach is to use heat balance 3 Consider a CANDU that has undergone a severe core damage accident Assume that the core has collapsed into a debris bed at the bottom of the calandria and is being cooled by boiling of the shield tank water Calculate the depth of the debris bed in the calandria assum ing zero porosity and the average heat flux through the calandria wall Do the calculation at 12 hours after the event You will need to look up typical CANDU geometry AECL 2005 and calculate the core decay heat Do not strive for high accuracy Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 135 7 Safety Analysis Mathematical Models In this Section we describe the basic science underlying safety analysis and present in simplified form the types of models used We shall not derive each model from first principles The reader is referred to numerous textbooks and reports for details see Section 11
251. up philosophy is followed in CANDU In summary this philosophy is e for each failure ensure that there are at least two ways of performing the required safety function e separate these two ways geometrically so that they are not subject to local damag ing hazards such as fire turbine missiles or aircraft crash e use diverse equipment and diverse means of operation e protect equipment against the environmental results of the failure e qualify or protect at least one of the two systems against plant wide external events such as tornadoes and earthquakes The practical application involves many trade offs diversity is not always possible and there is only so much space within which systems can be separated Whereas ideally one would like to route control system cables separate from SDS1 cables and SDS2 cables it would be almost impossible from a plant layout point of view and therefore grouping of control system and SDS1 cables is allowed but they must be separated from SDS2 However all three logic channels see Section 5 2 9 within any given group must be separated so that a local cable fire cannot Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 85 generally disable all three channels of any one system If a compromise in separation must be made then one must show that one or more of the following applies e there is no credible hazard in the area e another system outside the area w
252. use this chapter will now focus on the radiological hazards of nuclear power plants we need to know where the radioactive material is normally and how it can escape There are several repositories of radioactive material we use CANDU here as an example e Most of the radioactive material fission products is in the fuel in the core e Large quantities of long lived radioactive isotopes are in the spent fuel located either in wet pools or in dry shielded concrete containers e Tritium T is produced in the heavy water moderator and coolant about twenty times more in the former through activation of deuterium D by neutrons 12 yr D n p n gt T 2n p gt He n 2p e 1 Tritium is radioactive with a half life of about 12 years and decays to helium with emission of an electron It is hazardous if inhaled or ingested or if it comes in contact with skin but little shielding is needed to protect a person beta particles can be stopped by a sheet of plastic e Carbon 14 is produced by neutron bombardment of dissolved nitrogen in the moderator In terms of public safety the fission products in the fuel are by far the most significant hazard due to their quantity and their potential to be made mobile or volatile In normal operation the radioactive material in the fuel consists of e fission products trapped within the ceramic UO and Figure 4 Fuel element cross e fission product gases in bubbles or interlinked spaces within
253. ve a good chance of seeing a real positive magnifies the small false positive rate so that most positive tests are false positives This is quite important in medical tests even a very accurate test for a rare cancer will often give far more false positives than real ones 4 2 2 1 Failure rate estimation when no failures have occurred We can use Bayes equation to glean information from non events as well Kaplan 1979 Large LOCA There have been 14 800 reactor years of experience without a large break LOCA What is an upper estimate of the frequency Answer Let B 14 800 reactor years of experience without a large break LOCA LBLOCA What we do now is take say six cases in each of which we hypothesize the value of the LLOCA frequency We then use Bayes theorem to test how good our hypotheses are i e calculate the probability that each hypotheses is correct We label our hypotheses A to Ag 1 This is a slight simplification using the fact that P A is small Actually P B P B A P A P B A P A 0 99x 00001 0 01 0 99999 0 0100098 or approximately 0 01 as stated In words the first term is the 99 chance of detecting the defect in the one pipe in 100 000 that has the defect the second term is the 1 chance of indicating a false positive in the remaining 99 999 pipes out of 100 000 Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 61 A LBLOCA probability 10 yea
254. ve a severe accident is probably physically impossible and sets up expectations that cannot be met It is not easy to define a safety goal Here is a possible starting point for a safety goal which has numerical requirements and which is often used as the basis for regulatory decision making The annual risk of death to the most exposed member of the public due to accidents in a reactor should be small in comparison to his her total risk of premature death Some of the aspects of this safety goal are e t uses a common risk measure annual risk of death Although this is objective it may not be all that relevant to nuclear accidents experience has shown that significant pub lic dose from a severe accident develops slowly giving time to move people out of harm s way The results of real events have shown few public health effects e It compares the risk from a nuclear reactor to all other risks of premature death This is not at all obvious One could set up the comparison to all other risks of electricity gen eration or all energy generation or all average industrial activity In fact the first two would be much more logical because they compare risks of producing the same product energy e Norelative benefits are mentioned e The safety goal in this example is for the most exposed individual It does not consider social effects such as radiation exposure to a large number of individuals evacuation land contaminatio
255. vent possible severe accidents 4 Sharing of prior experience with other plants was poor TMI led to the establishment of the Institute of Nuclear Power Operations INPO for industry wide cooperation in op erations and training 3 2 3 Fukushima Dai ichi Much of this material is taken from official reports or presentations by the Japanese Govern ment Japan 2011 the Tokyo Electric Power Company TEPCO TEPCO 2011a the Japan Nuclear and Industrial Safety Agency NISA NISA 2011 the International Atomic Energy Agency IAEA IAEA 2011 and the United States Nuclear Regulatory Commission USNRC USNRC 2011 Vast amounts of detailed material exist on this event it is probably the most photographed accident in history and many details are still unclear or unknown e g the exact state of the cores in Units 1 2 and 3 and the containment status 3 2 3 1 Description There are six nuclear power reactors at the Fukushima Dai Ichi site All are boiling water reactors BWRs There are four more BWR reactors nearby at Fukushima II Dai Ini Figure 21 from USNRC 2011 shows the overall station layout of Fukushima Dai Ichi Mark 1 type BWRs have an inverted light bulb containment the drywell connected to a toroidal suppression pool or chamber the wetwell as can be seen in Figure 22 The purpose of the suppression pool is to condense any steam released inside the containment in an acci dent such as a loss of cool
256. wing discussion is taken from Popov 2012 and Popov 2013 As discussed in Chapters 4 and 5 reactivity coefficients measure the amount of change in reactivity per unit of change in the parameter of interest while other parameters are kept unchanged We shall develop three themes e all reactors have mechanisms to add positive reactivity e reactivity changes can be slow or fast e the reactivity changes of most interest to safety are those that are large and fast The sign of a reactivity coefficient is less important because the parameter can al ways be reversed The first theme is readily apparent addition of positive and negative reactivity through control rods for example is essential in power reactor operation Inherent reactivity feedback from fuel temperature coolant density moderator density etc see Chapters 4 and 5 can also introduce positive reactivity with the details depending on the reactor design and the direction in which the particular parameter is changing As for the second theme the speed of reactivity feedback in an accident determines the re quired countermeasures Slow reactivity changes are relevant for normal operation in different reactor states and are introduced in the reactor core by a burnup and refueling b planned control device movement and c xenon changes in the core during operation In CANDU fueling is done on line and therefore the control system does not have to compensate for fuel
257. y considering their views biased The oversight function is afraid to confront management 5 Collapse Regulator intervenes to implement special evaluations Management is overwhelmed and may need to be re placed Major and very costly improvements need to be implemented Audits by organizations such as INPO Institute of Nuclear Power Plant Operations an associa tion of operating organizations have distilled through auditing utilities which were subse quently forced into extended plant outages due to management deficiencies a list of symp toms of a poor safety culture INPO 2010 It is the rare organization which does not recognize at least part of itself in the list Finally IAEA Safety Guides are being rewritten to make them more detailed so that they state the increased safety expectations of the 21 Century Requirements on both design IAEA 2012 and operations IAEA 2011a are becoming the de facto minimum standard for nuclear power plants Indeed the IAEA design requirements report is the basis of the current Cana dian top level design requirements for new builds CNSC 2008 8 2 International Nuclear and Radiological Event Scale No discussion of safety would be complete without a summary of the International Nuclear and Radiological Event Scale INES This is a ranking of accidents so that the safety significance of events in nuclear power plants is reported in a consistent way all over the world INES 200
258. y Culture sss snn aE T EA AR TN ode A A ES 150 8 2 International Nuclear and Radiological Event Scale cccssccccssssseceesssseeeesssneeeeseeeaaes 152 8 3 Safety Aspects of FUtUre DesiEnS enaere ate on iaai a iaaa iaaa Tea a aaa 154 SA PrO bE MS eierniie i nE EEEE EET TE TATER EE 158 REVIEW os ccsrss ninin E EERE NEER E EE NE EEN R EEE 159 Reference Ss aeania raa E ERS RAAE AE E aaa AAEE EE ERA E ATEEN 159 IALA T o aN EENE A ETETA E E bade AE T AA 168 Glossae a a a a a a R a a a a a a a a a 169 Appendix 1 Basic Rules of Boolean Algebra ccccccccccccecssssssceeeceesesssessaseeceesessesseeseaeens 171 ERRON R S AA A T AE E ET E E AT 171 13 2 BASIC PRINCI DIOS ve EN E E E O E E EE A 172 Reactor Safety Design and Safety Analysis Reactor Safety Design and Safety Analysis 3 T33 Theorems 4 ies cock sai edat aaea e as a OTAS Eaa a A A Aa AA e aLa a els ese aveheasascaudevaadtatacedee 172 13 4 Combining Probabilities nesrodni iiai aE EEE E E TEE 174 14 Appendix 2 Common Cause Failures An Example c cccccccccccssssssssececeescssssssseseeeesens 177 15 Appendix 3 Why a Reactor Cannot Explode Like an Atomic Bomb ceccesessseeeeeeees 177 16 AcknowledemMmeNntS n raina a e a a a e a a eaaa anaa aT 178 Figure 1 Chapter concept MAP ccccecsesssscceceeecessessaececeeeeeceeseeaeeeeeesseeseeseeeseeseeseeseaaseeeeeeesseeees 7 Figure 2 Riskoptimi zatioM s efses ccc cchescstedessecedelesgse nosis veedet
259. y Design and Safety Analysis 146 The Essential CANDU e actinides such as plutonium These are released from the fuel in quantity only if the core is massively destroyed Generally iodine 131 is the significant radioisotope of concern because of its short half life 8 1 days high energy gamma emission and ability to get into the food chain as described in Section 7 8 3 As long as the pH of water inside containment is high iodine will stay dissolved in the water High pH can be engineered through storage of chemicals such as tri sodium phosphate in areas likely to flood in an accident However a fraction of the iodine will react with organic material in containment and form methyl iodide which is volatile not very soluble and hard to capture on filters In an accident any iodine 131 which does leak from containment is therefore likely to be in this chemical form 7 8 Fission Products Atmospheric Dispersion and Dose 7 8 1 Fission product source term The fission product inventory in an operating reactor can be estimated as follows Suppose that the reactor has been operating at a power of P MW th If the recoverable energy per fission is assumed to be 200 MeV the total number of fissions occurring per second is 10 joule fissions MeV Fission rate P MW x SETS Tae MW sec 200MeV 1 60x10 joule 51 If the cumulative yield of the ith fission product the yield of the fission product itself plus the yields of all i
260. y diesel generators at Fukushima which are cooled by sea water were all disabled by the flood because off site AC power was already lost the result was a total loss of all AC power at Fukushima units 1 through 5 hence all motor operated pumps became inoperable In addition lighting in the main control room was lost The sea water system used to reject heat to the ultimate heat sink was likewise inoperable Unit 6 had one functioning air cooled diesel generator which was cross tied after the flood with some effort to Unit 5 and was instrumental in achieving cold shutdown in those units with no fuel damage In addition because the emergency batteries could no longer be charged control and instrumentation power in Units 1 4 was eventually also lost crippling the ability to monitor the reactor state or to operate motorized valves Taking Unit 1 as an example the sequence of events in other units was similar but the timing was somewhat prolonged the isolation condenser was initially used to remove decay heat However the isolation condenser stopped operating fairly soon thereafter With no core heat sink the water in the vessel began to boil away with the steam condensing in and heating up the suppression pool and the level in the reactor vessel falling eventually exposing fuel As the fuel overheated in a steam environment the zirconium cladding oxidized and produced hydro gen The challenges were then e to restore water
261. ysis 150 The Essential CANDU 8 Safety of Operation In this section we shall touch briefly on some high level aspects of safety in operation No matter how well a plant is designed in the end its safety strongly depends on how and by whom it is operated We shall then touch briefly on future trends in safety notably use of passive systems 8 1 Safety Culture The International Atomic Energy Agency IAEA was set up in 1957 as the world s Atoms for Peace organization within the United Nations family It had a dual mandate if nations would eschew the path of nuclear weapons development those countries which already had nuclear weapons would assist them in developing a civilian nuclear power programme The objectives were thus safeguards aimed at preventing the proliferation of nuclear weapons and promo tion including safety aimed at assisting non nuclear weapons states The promotional side of the IAEA has been increasingly focussed on safety especially since the Chernobyl accident Early on the IAEA developed a series of Safety Guides which enunciated good safety practices in all areas of the nuclear fuel cycle from design to waste management These Guides were prepared in a collaborative and consensual manner by IAEA members Because of this they tended to contain useful advice but they were not specific enough to affect design and operation in a fundamental way They were generally adopted by both purchaser and vendor
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