RISØ-M-2257 USER MANUAL For the Probabilistic Fuel
Contents
1. BB VO 0 200080 000000 200008 QOOC COO 6060000000000 OOOC OOO COV ppo ir die C0206 OO O O OO OOO OO 7 7 OOOOO0C CO GC OX CC OCC OC C0000 OO QOC OCC COC OC X420 OOC Woo 9 0 600 20 0 2 2 6 Oe QUCCC O CC 00 0 OO CU C COCOOQO0C P w PRPC CUA PAA VAGA COS USC UU VAR ARRON uU P UMMA oS CA Gn non or med ed med md rn od d y mir dog n4 Tr ce 29 20 PbPbPpbPPPbPPbPbPPPPbPPPbbilPbi bPbbbbibpbbbhbbhiibbpPhhPpPbb i ooo 0000 QOOCOC COK COCO OGCQO OUO OOOCOCGOGO E E ZE nt ede ote lt EGG REGE GGG lt E E lt K 4 4 0 lt lt lt lt lt lt HEC CC lt 709 p o P eR Ro adi oft Gori uat al Labia CE OCC 0 0 0 0 O 0 0 0 0 9 O O 0 9 0 00 00 00 9 OC 0 0 00 CC COC lO OO CLM 0008000009000 000008 2000000000000 00 00000 000000088 O Ven nu n P EY S Sh YD Vio Q9 der xU B GA 282 DO OWA O SOU gt Ue RAS amp Or dr OO OB ED AS da hal bathe L etl Latha ub eias PIROPO IRA2. ODP POH PAID qhaq c qq qe OS de q 297097409 909978 WI 2979909709009 0 4 9 9 9 9 eC9n9 9 12 21 2121 ata 1 PIAR IE OAE 480 ESAS REGA RARA ITA OP o GRADE Pr POD OS Su o eq eqq SS mque SPS PEARL DAA APDO Q 60006 COSYO OCO COVBOCOCO AMINO OO0o200000 00002000000009000000000000 p p d ORG lt 02 2 lt lt 2 eO 249 00B000090000080 00000000000009000900 2 FBS OSS SESS OE GSS OD 4 84 e ic EA OS GOW di ta P 9 3 9 AAA DAA 3 P Don Jom Yr Y 3 5 D 9 9 AAPP TTr OOOJ30O p AR dat a aH TM lt lt lt lt S lt AMAA EM lt A d pa PP jefa uuu uu Profra usas Qe Pager Par ono uin fur rato po Paha Bu Er pjs P PRAT AITOR PERA 9 303 ryryrar ry gt gt y gt gt e dee race qe ae IIA N M a s 0000 eoooocoooDOoOoooooooooooooQgooon OOF ec bet OG EPS POCORN RONDA
3. lt SER b AAA RACED PGE ES lt QI UU PETERS LE EPRI ED PEEL DEPP A A A 00 0900 020 90099009092900200990922000000209009000906 0290 099 060 gt AE LE lt BO BITRATE AA ESAS dr SEP PLIES Gidbab di Qui POPE PS EEE qutd DAD RE PL FO BREE AAR ER Ba PASEOS Y AO TOA DADAS 50909990094 uoa4 OoO0t y2s2059090554500208 SRAARNPAAMARASFAAHDSOOS SADA EY lt auo PEDANTE OST SAI gt DERE ss LADA PAR POR 12S E Cire aa RO EE DAFO DARA pa QF Quo BO AAN DE cM Pa FOP GP S TD PED gt lt Br PRTC GPS AA Qh SAAB Ds QMSOE E Caf ATA SPARE DER dieto GAR DA di ARO GAP PGS E DEA F Pbro Di Aun den RA SUR POG PPE ese eR lt UA SZ ddr e qp qi qus dn p Edna uet du DADA ED UU D Pen I viri pO ARRE ABRAS orsa uec POR E RR crua Dee DIDI C b OW PEU Got TO C SRP AGO ad IVO EVE AOC GAS ATE EY QUO are TADA n qm HGD 0G TP QU mem PEPE SB lp eer CHE OQ HOP OO HO qHOHEPC HOPED BUND HOO OUO Ou 8 CHO OCHO ORO ODO OOOO AAA 908000
4. OOOOOOGOOO000000O000000000Q900Q00O00OOO00 OO0OO000090n One ev oO 99 GH AA Pr Ps Pr Pu P Pr Br DO AE eI EIE qi AA i TR PARDO De ARGA AMI Oh ERIS ena Pip AAA O PEPE pap apup Gp PP meten m meme up ap qp Sp Far ww eed uU OO O Occ Furor A ar fs P Px Fa 2 2 ARA Gui oae RADO Do met OER BO Bo PPV E FV BO GK POV i APDO quu wan DO ooo OOP ecconeaes FACS Sol AR eos s1 Pno 000 0237 PLAST TOPPLAS ove ALFA C Slet 8668 60906 14 1 9 09 0700 0 00 0 00 0 0 verge 0 00 ARAGAO E DADAS BA ADO AAA AAA A A A PREG ie dier ibd AA PD EA DA RPP PO BABA PRADA APRA PRO Sd P WP DP o 4 s LEB Lp PARR TID qup DSSS amp ap Be BLEED AD d en gt lt A DORA OP PAU ARAYA SIDA SEEGERS E G qu 5 5 5 lt 7 SUERTE EDADES TEARS SITO DS PS RAT YOR ERRE ESTRENA
5. 1902 0 7221 60026 003 0 60030 234L 03 0 80835 165 02 0 9631 11E 02 0 0169 601E 02 0 0966 5660E 702 0 1763 79 4849 02 0 2560 807 02 0 3357 3653 702 0 4133 335C 02 0 4930 308E 02 0 5747 e2 SE a2 0 0544 2892E 02 0 341 2106 02 9 0137 7254149 02 6 89534 9 9731 772 02 6 0169 9595C 02 0 0966 7 8002 02 0 1763 gt 3Y1 0 0 2560 316 92 0 3357 lt 267 02 0 0193 2800 02 0 4990 214 702 0 51 1450 702 0 0509 e 120 02 0 341 7 631 03 0 0137 0264 03 099934 e227 02 0 9731 VALUES FOR 789 702 0 0249 673 02 0 166 354 02 021963 4498E 92 0 2059 200t 02 023456 362 92 09 8253 331 702 9 3030 a 308E 02 5 5947 269 02 0 664 280 702 0 7450 213 792 0 0237 1590 702 0 9934 377E 703 0 9931 VALUES For 6684 02 0 0249 951 02 0 1066 94499 02 0 1903 3636702 0 2059 313E 02 0 3856 285E 02 0 0253 23eE 02 0 5350 e213 E 02 0 5047 350 7023 0 0643 2 120C 02 CHAIT 6318203 0 0237 0 399 793 0 9334 e293 92 0 9831 EPSSL 740E 02 0 0369 9 657702 0 1165 510 02 0 1962 887 E 02 0 2759 v 93E 7942 0 3556 e 301E 02 6 48353 lt 320 02 0 5149 304 02 0 5946 259 7902 8 07
6. G00 JOO Oe amp O OQ v w QO Z 2 ad O O OY OA 2262 lt Q 2 So OS O O Oe en Cee en eee o E CODO O 4992894996 9 70 d 3 144 0 6 e hd 660000000000600000000000000600066006 606 000060 6606600 GG OG OCC COCC OY CEG OIDO OOOO DIO e DOE DS CE SO C 00009290 666606666067060666606868660806600 0 8 8835575906860 t GOOG BO OSLO 00000090900 00009909 9 9 9 2 0999 99 22960 9690 a eave lt NOOO 9 00 0 7474 4 0 OM LA 6 B Ca pf JAI emo OOOO OOOO OBO MEY p 0 0 p 02 4 ADD 8 e ODF BUH COP Y hi Q PN ae DO Cu PAN OP WG 4 b O dde ONO EDGE O WO DYR o0 4740 A d Loo 5004 OUO OVAN OD O h 0 OM DAA SOON BAR SOV CPI he sagas peda qus Ged BaP mo Repeal GEA Gud Bal at fjar ar b Qi Pas Qo Geh Gael pajam Bus inga guae Go ib b i h b hp b UWTUR RPAUUDUNURRUDUDUIUIURUL UNUS AO Ceo ns Fotetw O DD O Gr PAPA aM B d IDO GB O NAO e OS CWA Ae Y VE amp d OA 50 89 PJAR ON Q 2 AI OP 0899 04 266290 10022 petuo puo det A Grit por Qua SS Qu AIN
7. pue Plat imi Qualis Gi O ar pat pr bro BB IIA MAA AA ves OQ f f uw i APO O 747990 6 O00 OF ERIN 8 OU MACS qq wp Gp AJ PD EI UD e S AR 0 0 AS OP o OUI DA O o p ESPIAS UR RV WEN 92 9 9 09 6096 o000c00000000000000000000000C 00000000 0O0000000000000 1 lt 05 02809000 000 9 90 9200 09700099 20900080 9000009 22 CAS m upa AAA SORA IO IO IN IN SER OOOO CASAS OED PO PROA ID RIA ISA IRIRI NIP FOROAS PIPIRIRDA IA FOROR AM ee pe b k OO FPA UR B VINA amp D BAD p t amp amp BANDA Gef AIRIS ADS 290 lt G ee lt lt lt lt 900 lt oO00000000000000000000000Q 0O0O0O0O0O0O0O0O00O0 OOO 0000000000500 O o0000000O000000O000cO0O000O0O000O0OO0OO0O0OO00O0000 OCO 20000000 of CO e Qus sui ma A AP AMX ADD a a at GP ia p Pb ee P R B amp cp O Qe ia lar amp WO 474p DO As OC HAs P UO DO VO e EUA
8. 100 02 0 7739 52050 0 0536 997 70 3 0 9333 7023t 02 0 0067 94E 02 0 1109 503 02 0 2261 e4823 02 0 3058 377t 02 0 3055 339 02 0 4651 310 02 0 5800 e 2836 02 0 0205 2489t 02 04 7042 228 02 0 7039 9170t 02 0 0035 122 502 0 9432 0 70t 02 0 0860 520 02 0 1069 00126 027 0 2201 320E 02 9 3058 290034 6 3059 2091 02 0 8091 216 02 0 5400 9170 02 0 0309 149 02 0 7002 9891 03 097939 9099 203 0 0039 e 09 03 0 9032 06 0 1 0229 683 02 0 0787 lt 566 702 9 1564 e 900 702 0 2361 8923E702 0 335 375 lt 02 9 3954 330 O2 0 4751 e 315E702 0 3546 e 277E702 0 6385 2006 02 0 7181 2 9 02 9 7936 16 02 0 0735 e 1016 02 0 9532 1 0329 23771 02 0 0767 590 702 0 1564 e 391E702 9 2381 e 3420 702 0 3157 I S j 9 3958 e 2011 02 0 0751 27 02 9 5540 lt 09 02 0 0345 e 139 702 0 7141 s 0828501 0 7930 379 03 9 0739 19 04 0 9532 1 0329 819 01 9 0070 838 01 0 00647 109 00 16563 1 20 200 0 2450 2316 000 8 3257 METIERS i 0 0054 32900 0 8051 1021 00 0 5097 101900 0 0004 197t 99 7241 223t o 0 8030 2601900 0 0035 660 09 0 9651 109001 0 9070 209900 0 0067 11019099 0 1003 399 09 0 2050 ed1
9. MEPSSL RELFG SIGDAM PKDAM P OF F 20 Maximum stress without stress concentrations Maximum stress with stress concentration Stress corrosion damage index with stress concentration Maximum center temperature Midpellet EOL strain Interface EOL strain Released fission gas Eqvivalent SCC damage stress without stress concentration Eqvivalent SCC damage stress with stress concentration Probability of failure Calcu lated based on the assumption that PKDAM is normally distrib uted The failure criteria is 225 15 MPa P of F P PKDAM gt 225 15 MPa 3 2 Descripticn of the output special for CASE 1 and 4 Fuel state Y 1 Page STEPNO Printed for OUT gt 1 The actual step number END TIME DURATION TYPE POWER BURNUP FRATE MIDDEL TCY TCI TSURF TCENT TBRIDGE RBRIDGE 21 The accumulated time from the starting point hours The duration of the present step hours 1 of 3 possible power states RAMP STEADY or FALL which mean increasing steady or decreasing power The power of the end of the time step W cm The fuel burnup measured in Darts per million The mean fission rate in the fuel during the time step PPM hour Outer temperature of the cladding Inner temperature of the cladding c Surface temperature of the fuel 9c Centre temperiture of the fuel C The bridge temperature
10. s 2 4 CA CO O Ov vr e OPO AJ Giie D VO 0 O Ce ICRA i feq De 4 OPB LR CP AAA o lt 0 0 2262 MAM ALIS qii Y 4s 45 b do A IAS ONE O O OO OOO C OO O O O OO O 6 69 260 amp h BNO D OOS OBOE Or BOO HUMUM A OEA JA UR at OP DAD mms AA PDD W UU EP D AO IAAF PP 2 74 9 Vu Put QOO WO w CO O CO RJAJ WA 99s 9 C OCO C C O C C C CC GO COG CC OC C 60006 O lt co O lt lt 9 B v 00040 47400000 AUNO DAI Bb POO O OOOOODOOOOO QC OOS O00 RIO OO OCAPRQUO OD UA PANA C000 OO O COO OOO p D OO O OO O CC lt CO C OCC RAIA ow B Vue x0 lt 0 lt lt lt 0 9 G O lt lt lt 0 EO B OOO 100 p u OOO OO CO O OO O C00 QV i Dui OPI A E 4 HHO O00 000000 00000 006 OOO OO bOu NO ID ds MDI OG Qtoearvectgantan EXAMPLE 1 cece94292292992990992090900909099099 6059 949 EPSMAX MEPSN 1GMAX PKSTRS AXSCD MTCENT EPSSL MEPSSL RELFO 516DAM PRDAN OF fF 1 PIN X CAL 271E 03 953 lt 03 230E 09 3335409 87 02 16lE o
11. lt Jl1aL 03 3160t 03 0 3257 0 3397 0 3456 0 3550 0 3055 0 3735 023855 0 3954 s326E 03 360 50 06 388E Q3 3485C703 1534150 2359 703 368 03 372 0 0 1084 0 0193 0 4253 0 4353 0 4a 2 0 4552 054651 0 8751 309050 426603 06450E 03 8638 03j 469E703 0 741 03 46 05 03 0 1851 0 0950 0 3350 0 5149 05289 025389 Us5448 9 5548 505003 526 03 5 44C 03 547E703 565 03 57465071 507503 646016703 0 5647 045747 0 534 0 59a6 0 6046 0 6105 0 6205 9 6345 612E 03 616 03 633E 93 638 703 055 0 057 9 659 03 072 0 0 6888 0 6588 0 26063 0 6713 0 6841 066962 0 7002 9 7141 19603 PigE 03 720 03 735C 03 2759 9093 763E 03 TaE 03 0845E 0 0 7281 027341 0 7090 540 0 7639 0 7739 0 7839 0 7930 066103 072C 3 08842203 0840203 099603 91605037 961t 03 964t 03 0 6038 0 013 0 0237 0 8337 0 6436 0 0536 0 0635 0 0735 971E703 978E 03 993 03 9940 03 21000202 103 92 122 02 134 702 0 8035 0 6934 0 9338 0 9133 0 9233 0 9333 0 032 9 9532 135 02 10402 55 02 177E 02 0 0 0 0 009631 0 9731 0 9631 029930 1 0039 1 0129 1 0229 1 0329 VALUES FOR nEPSH 300 03 197E 703 lt 72 03 711004 POVE 00 95 619E 04 017 06 884 E 04 0 0070 0 0169 0 0269 0 0369 0 048060 020565 0 066 020767 119003 1410503 144203 150003 1 4 03 21405072 230 03 22946203 0 067 0 0966 09 1266 041165 0 126 2 1365 0
12. 1845 gt 04 0 0867 s191 08 0 1663 1505809 9 2060 156 404 0 3287 360 94 0 0084 1615 00 0 0893 160L 904 0 5047 ele E 04 0 6944 e1 3 9 04 0 7241 0 8030 ei 6S 08 bd 0 8035 Petr a7 0 9631 VALUES FOR ede1aE 702 0 0966 el e 01 051763 317E 01 0 2360 182 02 0 3357 32 462 0 1153 620E 02 0 9990 e964 02 0 574 221 03 0 6594 713004 0 341 P a 85 0 8137 e215 0 0 0934 e379 09 0 9731 0 0249 671E 02 0 1066 109 01 0 100 613 0 0 2059 10P o02 0 3356 390 0 0 0233 e6 495E902 0 5050 s108E 903 0 544 269 03 9 6043 1200 0 8906 150 906 0 0237 260 3600 0 9934 400 lt 0 0 9831 VALUES Fon e139 08 0 0109 186 04 0 0966 152L0094 0 1763 015e 08 0 2500 61502049 09339 160 94 0 1193 01626908 024990 165004 0 5747 e168 904 0 0384 170604 9 7381 7004 0 0137 046 0 0 0934 1961000 0 9731 138 900 0 0209 03866 200 0 1966 192 04 0 1563 159 04 0 2059 150 08 0 3056 1606 990 0 0283 1626704 0 5980 160 04 0 3047 169C 994 0 6983 e1 9 994 9 7440 190 94 0 0237 105 994 0 9934 201 994 0 9031 maxSCo 183 710 0 0369 185 01 0 1165 293E 01 0 1942 6081E gt 01 0 2759 210E9 32 0 3556 360 02 0 0353
13. 195 000 0 7992 ed19g 00 0 7019 231E 00 0 0039 o 329E 99 0 9032 lt 67 909 g 06607 110968 oto 0 1469 elec 09 0 2291 e202 09 0 3050 0 230 09 0 3099 edat 009 0 0051 871C 009 9 5508 v290L 009 0 6245 3030 069 0 7008 9332f 299 0 7039 3426 069 0 0035 e 380 09 0 9832 94 9797 1e c700 0 1564 9 2361 1296 00 9 3137 1010 0 9 3950 1 1 00 0 8751 161 00 ats go 0 6385 el SPE 0 0 7101 d2H 00 9 7936 20 99 9 0735 334 22 0 9334 1 0329 01600 0 0767 11351909 0 1304 1601 999 0 2301 2005 09 0 3157 o231 909 0 3930 TrA 09 0 0785 270909 8 5399 2921909 0 6349 290 990 0 7141 dN 09 0 7936 320 0 0735 T 389 900 0 9332 3 0329 v ul FR PAON 106201 196001 1936 91 539006 06 66 96ige00 280938008 19 07 0 3076 9 0109 9 3409 0 9399 9 0006 9 0300 0 000 01006 1118909 ll12 o09 Co99 99 0 1901000 313026 2440609 9 004 0 0006 041940 0 1149 9 1309 0 1349 0 1460 0 196 29119049 23928000 235950 09 26900 2 66599 2740 22 377029 367 000 0 100 041763 9 100 0 1003 9 2004 0 2101 0429291 0 2301 2900090 30002090 303266 31066509 329 00 324169 3301 00 3011000 0 2440 0 1940 0 2099 0 3799 0 2091 9 14 0 3090 9 319 92440906 3430209 34030299 946099 604100 20939C 09 3071 0 Jogot 3247 0 3357 0 349
14. DO Au w O 9 9 eo eo e 9 9 9 lt 4 2 lt lt lt lt lt lt lt O lt lt 9 lt D O 9 9 lt lt IA MANO WE OOO OO 90 0 DE WO PQ D RAN QUIODAP Cuin e MINA FY 0 0 WO ip 1409999009 AI OO AIO VAR Qus QOO du HADISU 0 4315 29 00 0 4N321 30 3501881 An 02S VN 43X YM 979 NO113 V831S1 NnulxYyu M ls 0114 3 3 eSVv9S1j 60230046 tK 1 134 E0 3090 K NId viva lt v9 BOO OE 6889899998 DS VV USA SPP APP POPP MAMA A NV WS wie O ww wr Pu gt O DO APA Y OOS WHS W iLL Lt 800880565000 090 00909989 099909 90900909 0990 p VEG 2 p p CPC uy BIO DIA il DY PO MR OL OO Oe GP 9 0 0 9 2 774009 4 18 OO EO OOO SPP Olai ls CM De DoD B OINARQD amp Lv a BOO OC CGO C GO OOO O OO OO COOC OO OOOOOQOCOOC ooooococ 99 9 6 SE 009909000900 OOCO 0 2000090900900 0000000 ODO C OO AS O O OOG uU Q C wu opu O De OCU RRA
15. Fa Fare r 8 6668 09 9 E E Oo co Oto uo C oo Par ooo cDO0o0o00000 e ep 13221094 401416 91441 10 JNIA NV3M euva 40 4309 vivi WWWIYILVH pd OO 70 VS opp ppaki ep ue EE 9700970979999 9 9 IB DD y OOO Y MP X rr G 1722829729 L y O Df e 39 2029 AS 0 sh pre HO WAS OOG Cu Coo 9 6 PRA 0000 Oos oo 00090000 rP es 40 4 106090 co 0050000 gt QOQ 99 493 00 3002 00 306 8011n81u 1 10 13 1w viva N9753 uv 40 1304 do do o do EP AAA chad Lodel f gt ran gt YN PISO DIO P duum COPIE UR AS CoD PAUSA PLDI ODD camper BAD oa DORA HILO DO GAIA OO 4 PUMA INIA MAT w TA TA 44 64 SOR SER SERO A A EBD PUR
16. MEAN The mean value STDEV Standard deviation 24 MY2 2nd order moment around mean the variance MY3 3rd order moment around mean Skewness of the distribution MY4 4th order moment around mean the kurtosis COEFV Coefficient of variation SQB1 The skewness relative to the degree of spread 52 The relative measure Of kurtosis For all Z the calculated values of 2 are written in ascending order If NBGR gt 1 the values are grouped with NBGR in each group and the group avarage value is written LOOPS NBGR must be an integer Below each value or group the corresponding fractile is given 3 4 Description of the output special for CASE 3 For all the variables 2 explained for CASE 1 the following are calculated VAR DF Dx 2 Lowest order contribution to the variance The variance mul tiplied by the lst derivative of the state variable VAR D2F DX2 The second order term in the mean value The variance multi plied by the 2nd derivative of the state variable VAR 2 LED DFDX D2FDX2 STDEV F MEAN X 3 ORD VAR COEFV 8081 82 un 1 Tne seconc order contribution to the variance 3rd order moment around mean skewness of the distribution 4th order moment around mean the kurtosis The Ist derivative of the state variable The 2nd derivative of the state variable Mean value Standard deviation The lowest order approximation to the mean value The dete
17. With this input a deterministic calculation is performed the mean value is used for all stochastic variables CASE 1 If one of the other 3 cases are wanted the only necessary chanqe is to insert a specification of the case in the namelist GEOTID 170 E 04 400 E 02 a 4 a gt ei a of 4 4 Uu a 4 4 3 vu 4 oo o o ses A a 4 4 4 4 a a 4 a 4 n OO o ed e 9 4 O Ou ooo e e OOOINNNON NON m O 4 06005000000 eee o ei O a so 4 Pan Poe oe mn V enm BOD r v e 000 OOTO 969 o e 6064 00 99 90099 8 g en NA VN URAURA ul eo Uu Oboes Sooo wo oss ea ee e MO 2 22 O 2 C D J Ue pO O ww a e e 9X9 OO 0000 o0 v 0 0 n e T eOOOWe OOOO 8 e e Pen vtod 499 94909 5 ux a wee e e amp lt O o 8 O O a o o e M e 4 o lt Gan api wo OSAMA OP DADAS e o 6 o bh O a eoo a Qa RUZ e OOM minn oF 400000 4 ebfed est um vot GO AO PEM PION OCO AND EV Oh ORO eaf My p u e det ct edet esci M AIM NICE CAAP P n rn n n rn rno 34 lt APPENDIX C Complete output from a deterministic c
18. c The radius of the bridge mm 2 Page STEPNO EPSEL EPSTH PLAST TOTPLAST DVS RELFG HG CA SIGTH SGEN KONPRE GAB 22 The present step number Elastic strain 0 00 Permanent tangential strain 0 00 71614 and primary creep defor mation in the present step 0 00 Plastic deformation giving the position in the yield diagram strain hardening 0 00 Relative Uo volume increases by swelling densification and relocation 0 00 Fission gas release 0 0 Thermal conductivity between fuel and cladding The contact area between fuel and cladding Fraction of total area Tangential stress MPa The generalized stress MPa The contact pressure between fuel and cladding MPa The gab between fuel and cladding um un 3 Page Calculation with maximum interaction STEPNO The actual step number MSIGTH Maximal tangential stress MPa MAXSCD Maximal stress corrosion damage index MAXEPS Maximal permanent tangential strain 0 00 TCENT Centre temperature c TBRIDGE Bridge radius mm KONPRE Contact pressure between fuel and cladding MPa GAB The gab between fuel and cladding um Exp No Gas data HELIUM The amount of helium in the pin 3 FISGAS The amount of released fission gas in the pin m 3 3 Description of the output special for CASE 2 For all of the variables 21 explained for CASE 1 the following are calculated
19. 04 347 6002 7 230g 02 14290 249E909 94920 PIE 500003 150 02 e1P0E094 24900002 7 300 703 150 00 1 44 APPENDIX D Complete output from a Monte Carlo simulation Only CASE is changed relative to the input given in Appendix B 40 4309 JO NVIN NOT 4 01U1 10 3 70v1uv ON VIVO 051 30 NANI 00410005 16 04200051 091000 94 10018 4 g Em rien En iom i i dai 6 GNI 454111 Vest 14 43 493443 0114N15 VNq315 AMO4S1M VIMOS NANI Ns 1 egeo y E d P 20 3903 i ti GEL R 030009 P A ERE al ER UVA 40 4309 INTA NVIN 0 400 510 3 00vfuvA ON 110 NIISI AUT 1lVu3N39 10930 xU 1 0314 T E NUES rs es SE need iene ee B EE 01100 90030 4S1NV1SNO03 1 1 4Nv4SN023 ICON NOTLVMLSTNTHOV 011039 1 3 vu VIA Ov3U 52141008 3 08 NQ 99999990999909099992099990990999999969 1 340911 s 70977909009 0 090 090 04 J D Gp IDU IO RP AD IIS O OA A A OD UR Bl Qi Up DO OR Se ee IN NOD D TEO TE AMMO Y ayayay DC x yap NAUN OO BE Xooornr 5 gt gt Or AOON cmn REA E
20. 66 67 68 69 70 71 TSC SIGN PSC SIGFAC ECCENT MALFAF MTGAB RAMPST PFAC2 PFACI TFAC FFAC TAUREL N m LQ pa we Not used Not used Poisson s ratio for zircaloy Parameters in FFRS Saturation pressure of fission gas with respect to stress corrosion Temperature difference corresponding to one decade shift in time to failure for stress corrosion Normalization stress for stress corrosion Factor containing the uncertainty for the stress corrosion failure criterion Stress concentration in the cladding Eccentricity of the pellet s location in the cladding Factors used in determining the maxi mum interaction See definition of MAXBER The first time step in the ramp Scaling factors in the power history The power from step 0 to step 111 15 multiplied by PFACI The power from step IXl l to step IX2 is multiplied by PFAC2 The power from Step IX2 1 to step IX3 is multiplied by PFAC3 The power from step IX341 is unchanged Temperature factor the cladding sur face temperature 18 multiplied by TFAC Flux factor the fast flux is multi plied by FFAC Time constant in the transient fission gas release 72 73 74 75 76 77 78 79 80 Name IXi IX IX3 RELOPT KPOR RINNER DUMMY3 DUMMY 2 DUMMYI 15 Unit The release in a time step is 1 exp TAUREL x AT multiplied by the steady state release Separating points in the power history Se
21. 700 902 0 5149 12001 0 35986 399 903 0 6793 101 05 0 75480 10 E 06 0 8337 37 3 9 0 9133 337E 913 0 9930 NTCENT 139 904 0 0309 100 900 0 1105 e1528 08 0 1962 1935 994 0 2759 150858904 0 3556 e160 94 9 6353 1062 900 9 5149 166 04 0 5946 17058904 0 0703 0 7540 e180 06 0 8337 e105 04 0 9133 02316908 9 9930 365E 05 0 0068 025 01 9 1262 281 01 0 206 905E 01 0 205 213 02 0 3655 e 399E 02 0 9852 782k 02 0 5249 1990 0 6086 000 03 0 0943 1805C 05 9 763 e1 9 06 9 8430 126 09 0 9232 1 0030 1396000 0 0068 01496008 0 1205 152 00 0 2064 155 09 0 2059 0 3055 360 90 0 8482 01900 0 5209 03660008 0 6049 10 0 9 0003 ed e o08 0 7639 180 065 0 8836 196005 0 9233 14 0039 2 3906 08 0 0304 JO7E 900 9 1365 JOGE 1 0 2161 eye 0 255 2105 900 0 3755 d03L 902 0 4554 s762 02 0 5349 116 83 0 6145 el27C 0a 0 6992 40 0 7739 233006 0 053 ed 548C 08 0 9333 1 0129 13908 0 0508 40604 0 1305 53 04 0 2161 155 gt 04 04 2950 1959808 0 3755 00 16004 0 0352 103E 04 9 5309 01668908 0 6185 s 1720808 0 6982 ol TeloOe 0 7739 eS BIE SOS 0 8536 s 1099508 0 9333 1 0129 5316 03 0 06
22. Adry OS MODA 2 b qut amo O O G 0 09 VUA DB P PAL O ba amp WP O ID PD 0 Oe E OD Y OV OQ CO 7 7 7 DO 9 9 9 9 9 lt lt lt lt 9 9 lt 9 p lt lt P 9 O lt 9 BB O D O lt OOOCOCOOQCOCCCCOCOCOCOOOCCOCCOQOGOOC OC GC OOOCOcCCOvowo 020000000 20000 0000000 wo BOOS 0 0 0 009 0 900040 9 0 00 0 OS 0 0 00 0 4040490000460 oO hed UA la a ate Lat at Cab Cables Gabi Lep la Gab GP GED P CO MO SMA A UP IS IVA 6 978 60 BAIA FOR POR Ps 2 lt 2 lt 2 lt n AA UNICA LALA CA A e eo 9 e 9 eo e e sss 9 O lt lt 9 9 O e q 6 B 9 9 o O 9 e e e v rta tala oid uius Lethal de la La Lai etes lt 2 s hadiae od aiio tao PI RIOT PA
23. COEF Vs 10 Vs 0249C6 00 10E vs 06306900 10 ve e35308 00 sTOEVe 39712900 sTOEVe 9997 01 sTOE Va 93286701 sTOC ve e 5901 00 sTOEVe 9 21 26 00 sTOE ve 4302 00 510 vu 4051L 00 sTOC ve 3638E 00 240183803 sadis 6694L 00 1219 02 50412 91406 00 09124008 59019 1053900 142396 e098 soyjs 3949 01 6337228 12 sobre 98490 01 153206201 50815 4454 600 22078E 02 50016 1874E 01 e23989E 02 50019 7821 00 3207 01 59010 091 0 00 9031 08 081 6028 00 121185009 50010 8B6c2E 00 3382C 01 9219901 4302L 01 3346E 9 01 9801802 3049 0 1031 02 6301 01 3340 01 2606 01 4009 01 Lt VALUES FoR EPSMAx 301 703 7 197 03 169 03 95 04 880 0 003E 04 700E 04 217E 0 0 0070 0 0169 0 0249 0 036 0 0404 0 0569 050647 0 076 23 05 190 04 46310204 466004 9306 09 90508C 04 0 02 07 03 0 986 0 0966 0 1766 0 1165 0 1252 0 1365 Useless 0 1504 1095 03 11060503 18284093 1230 03 135 03 188E 03 167E 03 160t 03 0 1663 002763 0 1353 0 1962 0 2052 0 2161 0 2261 0 2361 187 03 191E 703 193E 03 235 03 2410 03 1 250E 03 260 03 4 2626 03 0 2460 0 2580 9 2659 0 2759 0 2859 0 275 0 3058 0 3157 26 E703 27 03 289 03 28YE 03 Ivol 91 3090 0373
24. EDITI L gt wm x T cm IC OCT V UE AERE 20 ER y A pr Y pe r na ww r w r rw OPPER 4 00 28 9 997929 lt 29 94 waw OU EME E EME Tr xx IMER 23224 313 35 39 207 gt gt 2 3 x gt gt gt gt gt gt O gt 2 v gt XZa3tvcGHHRGXGCXCCC SESH 33 A c r 9 lt 9 9 9 9 9 9 9 9 O 9 SE 002090 00000 OO 0000090000909 00 06006 00000 COC w 9 9400 0000 OGG n nir gp FC CHEE PP ECP MPR PAP PE 0 0 0 0909 0090000000 OOOO O00 O 00000 XO O OQ QOO OO 9 Q OGO 9 gt CRI by Ae O y Qai PS Ia Fe COPI CHR HOD aene lt lt lt AY prandio A gt ooo OOOO 000 o too E 9 9 9 9 9 9p O 9 9 LU 000 00 L D 9 p O O O O 9 9 IRA AAA he PRPS Oto dodi bs eren er UA QM i 00000 eon lt VAR 000 wu 00 QOO o o co 00 oo ooo FF rara ra
25. MEAN 112 WEAN 0720 MEAN 720 MEAN 112 MEAN hY22 MEAN MY2e MEAN HY2a MEAN MY2s MEAN 2 MEAN MY20 PIN x AND STOEV FOR 1598 06 AND STOEV FOR 17 gt 18t 05 AND STOEV FOR 786485 916 AND STOEV FOR 2013E 1 AND STOEV FOR 11266926 AND STOEV FOR 023260005 AND STOEV FOR o48266 05 AND STOEV FIR 569 PE 05 AND STDEV FOR 5300 0 AND STOEV FOR 093921616 AND STOEV FOR 1454E 17 tasse C A b E 2 ortos stereo CASE 2 MONTE CARLO CALCULATEO MEAN EPSMAX ME ANG MY3s 827QE 10 MEPSH MEANS WY3e 2060 08 SIGMAXI MEANS lt 127960246 PKSTHS MEANS MY3a 1128 24 45600 MEANS MY3s 37210 35 MTCENTI MEANS 0736 1580E 0 EPSSL t MEANS 832 1986 07 MEPSSLI 6440 MY3a 10630 7 RELFG 1 MEAN MY3e 3446E 7923 51004 MEANS 135 2424 924 PKQAM t MEAN 11730 1518 25 MY 42 1111 742 MY amp a MY4a MY G MYas MT amp 6sS ANO HIGHER MOMENTS 48709E 03 8643E 13 132655 02 e948dE911 232466 09 2710 33 33909009 0133566034 0337 3a4 11 012426049 16833804 1630E 10 9 3 4916E702 2409 500 3 61 02 20456 09 17016 00 9402 08 239541 09 9226455313 33212 09 647113 COEF Ve COEF ya COEF va CUEF va COEF va COEF ya COLES Vs COEF Vs COEF yo COEF va
26. October 1980 Department or group Title and author s USER MANUAL For the probabilistic fuel performance code FRP Department of Reac or Technology by Rise M 2257 Group s own registration number s John Friis Jensen Ib Misfeldt pages tables illustrations Abstract Copies to This report describes the use of the probabilis tic fuel performance code FRP Detailed descrip tions of both input to and output from the program are given The use o the program is illustrated by an example i Availasle on request from Ris Library Ris National Laboratory Ris Bibliotek Fors gsanl g Ris DK 4000 Roskilde Denmark Telephone 02 37 12 12 ext 2262 Telex 43116 A II O a
27. PY tyre E ye 22352230 BONN Twa F ww UA AP Ry 3 lt tte gt 4 qe L bre cde n e a B er te S 4 e d sss CamurammooOnmmmonrmooonmmeoonmmmoooor ev2o a oe oe O Jp 4 4 4 4 18 1528 SOOO DBS 39 3 029 29 0 39 PPU E rw PUERERCCUNARIECCUWAXZZIXOCZEZEZZZZEEEEXCCWAEECEEZCCVWAREZXOE lt gt p 39 39 29 39 Ip gt gt 2939 gt X 29 39 X gt gt p X Ta p pr C C gt PP gt 2039 39 gt gt X gt DDL gt gt gt P AR RE e e Saag Bieta huu SO Jr dp OO qa OOE66606 OS PQ G w Po OVCAAL COV CO Ww rr tos oO000COOO0O00000000000uU00000000wOwuvOoOOO OO OO O CUM OOO 000 00QO00u p ce de qe d p d pe ae e t e de e t d PD c PDP AP y D P P P i dp b pe Ad i t dp de bn e e je a e Qe pe p b ee 4 PAPA EPA go gr wr oque P Te d gr 0 99949999 9 9 99990 9 989 9 49 9999 319 90000 000 OO ONG 0 000 CO OO 000 00
28. Qe Pa 09090099 990999 22 2 2 lt 6 lt 2 Y h EO 0 RAR O DOO Q E Ob Pe e e as Pe N 00 YY emm en m eme ren im mn op mon mem erac q e 20O0U 00o 09 0 00 0 0 0 O P O ORO D OO Meek EN eral E ara A cr rt quib qui aci qud ect A ome adios raf p lest a SOS fh en rr wara raya mm enm eme mim nmm mmm meenen emm meme vemos 0 00 000 0 O OO0OOOOOOoOooOOOooOooOOoOoO0oo0OoOOoOOQoooocoo nmeeeo 0000000000 0000000000000000o00o00000o00 ooo c 0000000 000 0656 090000000000 0090000 40 IO O 99399900 0009 099 00000200000 0000 000 00m 00 re O e O QO 2000000909000 0000009909099 00000000009 4000 Q O 806908690 6660000000008 006000 005080096 60 ran OOO O 9 29 0 29 6 2 2 9 0000000 086000 DP BORD RB ANAND OF FMR GYO 2000 Dr Po CS NOE Mie pO O C G NANON 80 F STV VIVO OS gi OE W Qu Po Po quy OPP O O O 0 2 an GOFOOOWM NS H V 64 9 94 94949 lt lt 0 9 9 9 2 lt Ob lt 6 O EM oet
29. corrosion failure criterion has been derived The failure criterion is based on data from out of reactor stress corrosion experiments performed on un irradiated and irradiated zircaloy with iodine present Figure l illustrates the general layout of the system Based on the applied load H t the design and material data X the program calculates the fuel state Y t distribution of temperature strain stress etc in pellet and cladding as functions of time and the failure probability for different failure criteria as a function of time W t In the following chapters the detailed input specifications are given together with some explanation of the output Finally the use of the program is illustrated by an example STATISTICAL FUEL MODEL DETERMINISTIC FUEL MODEL FFRS STATISTICAL CLAD FAILURE MODEL FAILURE MODEL ZDAM wit X design and material data stochastic variables Hit applied load on the fuel power flux etc stochastic process or a deterministic function of time Yit fuel state stress strain etc stochastic process Wit clad failures stress Corrosion overstrain etc stochastic process Figure 1 The Fuel Reliability Predictor 2 INPUT SPECIFICATION The syntax of the input is illustrated in Figure 2 Each bracket corresponds to a logical unit which is described in this chapter 0620 1 card text information Data for he whole Namelist GE
30. 0 0 3990 0 3099 0 3799 0 3099 0 3994 3e00 09 340 00 Co 34902409 39060294 3 90299 73990664 933673 0 00 0 019 0 0493 0 039 0 0493 0 0993 9 0091 9 0791 333260 36409 990999 356569 33530299 93996506 2900909 0 0091 0 0090 0 340 0 109 0 909 0 3309 3648 0 5960 3300909 35005969 3395099 399 09 399029 3996000 97360029 36900569 0 360 3747 0 404 049940 0 6000 0 6104 0 6909 8 6348 364906 3090909 07609 3 C 09 370009 3011009 dde apr 0 0044 0 0944 8 6063 0 676 0 094 0 0993 6 7041 71644 399096909 390 09 6260 9 62600209 46400209 410 00 011 000 42190 269 0 4 047341 041 440 0 7940 0 76 o Fr g 0 70 9 0 79 8 136209 46210299 42960209 Co 431025604 634699 OQ CeO 04001009 0 0010 0 01 9 04 0 0337 9 00 0 0 09360 0 0039 0 0739 04370209 900909 661009 4690209 626790204 400 909 04 069 06000 0 0039 0 0920 049234 0 013 0 0333 0 0333 049423 9 9033 3901999 3218009 22699 36509 9 01 0 9031 0 9731 0 9033 0 0930 1 00 y 1 0129 1 0919 1 0339 9e9 9099 990990909 86006 0 00000000000000000090000000000229 CPaSnAR Coda SIGKHAR TAS 11111 211111 43 HEP 11 aro Slovan PUDAM P 7 1 PIN X CAL 607003 15931 62 2930609 3990609 33 641 16605606 370608 2990 91 4 Mi cM bd cnn REED Wees cutem matre Rise National Laboratory Ris M 2257 Date
31. 0 9731 9 9031 SIGMAX e52C 00 0 0369 1 3 09 0 1165 3190 gt 09 0 12 211 gt 09 0 2759 o221E 09 0 31556 e232E 09 0 0353 209E 99 0 5199 270009 0 5946 301 09 0 6793 e310 9 09 0 7540 0333 09 0 0337 353E 09 0 9133 65466509 0 9930 PKSTRS 66055 00 0 0369 92006000 0 1169 025aleg 021962 e277 09 0 2759 306 09 0 3956 e331 09 0 435 351 09 0 5149 3976 09 0 5986 0923 09 0 6783 860L 909 0 7540 2496 0 0 0337 554L909 0 9133 sPi8E 08 0 0448 7 4 0 y 1265 192 09 0 2064 0128237 0 285 e228 o 29 0 3655 lt 232 0 064452 249 909 0 5249 760209 0 6086 e302 90 0 6843 a 3206909 0 7639 330E 07 0 0430 e35et 50 0 923 e107E 90 0 0068 209 00 0 1265 250to09P 0 2062 277Eo09 0 205 e 307690 0 3655 e337 90 0 9452 e 357E 90 0 524 e398 90 0 6006 e 827 o 0 0 684 663 09 0 7639 s503 07 0 0030 557L 00 0 923 790 209 9 0 9930 1 003 118 99 0 0564 5172909 0 1305 195 09 0 2161 2121 09 0 2958 2201 09 0 3795 2351909 0 4352 2550 09 0 5349 228i ede 0 6145 2 303 09 0 6942 3236999 0 7739 2 348206909 0 0536 3500 09 0 9333 1 0129 32370209 0 0568 2160 09 0 1365 2038 09 0 2163 279 gt 09 0 2959 300 909 0 3755 33
32. 00 DAY raras rr AA EES Ua MA PE RS MO e o gt rr LJ aoe Roce ooo ooc o 6 6 ho 222 QoS 2 00 Seooo oo 0000000 000 coo oo ooo o ra wa van rm mm m 4 6 659 ae 99 1469 90 oo de bol 200200000 02000 oo eu wasa oo e OO OO JIOVINVA i n INA NYjM NVA 40 1303 v4vO 2v14031VMH PAD uo inb ogee anb qb 000 PE DO LAA DIO O UD APRA v FO 0 ZEER e eel ok ot DOO Di Y 4 3 4 8 4 6 rin mr K EEE P gt 1 2 2 gt 1 20 39 2 gt gt gt gt lt IVKVON e e pm 10 LAT Lo ON 0 OGC OG AOOO APA o CL C oooooovo EORR RADO 00000000 mmm em eee 9t 9 106 090 122 oooocooco doe PAX C O OQA h heu ti cocoa ooo OOo 99 oooo 9 o 000 m ma rr 4 t e ooo eo 90000000 ooo o o 33941078 011 01 1510 INTA NIN Vivo 51530 UVA 40 4129 MEAN 0728
33. 090000990000000000909000009000090000009000000008099000 D Ye ga ea PEGS SPE AP SRAM 8 PEAS 5 GS 08 OF IP EID HO HOO ap mu GOS OSS SC SOSH 1S OTC HORS 00090000 00009090900090909999090999929000909009909990960900996900 SFE OEA qup DPP DONA e SPP ufa qr BP DAYA SPF PD PASA DO Y PGR IAEA A ARS SEO PCD TEED GP q Gp d dV JP V 20 MAME MAO COO OOS OO000000000 Cove OOO 2 Vm O q O 0202 O 000000000 20 00M a OQ O OO DON s 0 9 e IAS MP QO O O OOO ODS COOSA IS ac O 0000 000 000 OO g 08 O uw UD UV Dr NAO voo0ooodwmoomemo C 0000 000000000 DOOR COMME GOO COR Osere 9mo o o QO OO QOO 000000 000 Ot gt UN OK VY OO COS mo ooo PCN OR Y NOD OB MO O cum epi OD OO GD 00 qD 4 and e O CO GMs p EN p s OO OCNLOOM OP O O9 lt 2 2 lt lt 2 O 0000000000000 CG GMs rte OC FTES OEE FF OD CULES COCO CNS CCR DIO TI 4 BOGE OP Fr OND lt 4 QO Qu Os v9 0 00 0 000000 QU
34. 0f 00 0 7548 237900 0 0337 0 913 9126925006 0 9930 e 3999 00 0 9349 e100 999 0 1105 220909 0 1962 e109 909 0 2759 sd2169 09 0 3956 lt 292 09 0 0353 20509 0 5109 0160909 0 5900 2951009 0 1703 220009 0 7540 390 9909 0 0337 307009 0 9133 s eS1E 09 0 9930 730 91 0 0460 0 1203 sllato09 0 42064 12762099 0 2059 13J0L 003 0 365 12142 0 4434 150L 04 0 3209 o8 F3 eee 0 0940 190 oes 0 0600 o2OTE Cee 0 76 39 e 242Lod0 84230 eJ17Lo94J 0 9233 1 0030 e 75 900 0 0060 111 099 0 1205 120 99 0 20964 8096 00 0 2059 220 09 0 3095 207T009 0 0052 2040009 0 5209 2087099 0 0000 298099 0 6863 o 9236909 0 7039 340909 0 0030 e 3470009 0 1233 5 0033 Pa ak Sod 0 0566 99 9 0 1305 silet ee 0 2141 12PC q 0 21 130 99 0 3755 100 du 0 4533 157 589 0 5349 ol TIE ete 0 0195 942 21M 00 0 7739 SC 90 0 0 326 2 0 9333 0 1 0129 092 99 0 0960 TS 909 0 1305 13M 99 0 2101 0 215 220 909 6 2 39 287E oop 0 0952 2697 ety 0 5309 e 499 999 056195 e 302 009 0 0942 e 3420 09 0 7739 o 3 0 09 0 0536 o 387 9 09 0 9333 023 01 0 060 1011 00 0 1008 118 000 932201 e12 NX 99 0 3050 o laot 00 0 30535 56 00 0 0051 139 000 0 541 ol T2E 900 0 6245
35. 1464 0 1564 380 03 355 03 358 03 363 03 382t 03 397 93 009 0 409 0 0 1653 0 1763 021463 0 1962 0 2062 0 2161 0 2261 0 2361 423603 927E 03 636603 8376703 a492 03 633 07 270802903 28E 703 0 2460 0 2560 0 2059 0 2759 0 2859 0 2459 0 3058 053157 735 03 759 503 765C 03 1 700E 03 70990503 0828E 03 8596 03 8596 03 0 3257 0 3357 0 3056 0 3550 0 3055 0 3725 023655 0 3954 9109603 9230203 29380 03 970 03 981E 03 101 02 102 02 1060 02 0 4054 0 8143 004253 0 4352 0 0052 0 552 0 0051 9 0751 109 02 1190 02 e12PE 02 21200 02 61316 02 191 02 0 39 02 0 40851 0 8950 023950 0 3109 0 3249 0 5349 0 5486 045540 ei45E 02 147E 702 71861502 149002 1520504 154 02 25155202 1696 02 05647 0 5747 0 5047 0 5946 0 6040 0 6145 0 6245 0 6345 31791 02 180 702 10202702 196C 702 2060202 205 0 209202 28535 02 0 6094 0 6504 0 6693 0 6743 0 6843 0 6942 0 7942 0 710 e22 L 02 6 2266002 234002 235002 23535502 260 E 02 26 4 02 9 7201 0 7341 0 7405 0 7540 0 7639 027739 0 7839 09 7936 267002 268 02 277202 2970702 5 303602 310 02 73191202 320 02 0 6038 0 811 0 0237 0 0337 0 0036 0 0536 0 8035 0 9735 321002 50392 702 347 202 357L702 372E 0a 3700 92 03996902 406 02 0 0839 0 8934 059234 0 9133 0 9233 0 9333 0 1432 9 1532 0290 97 02 25200702 540 02 0 Ve Oe 0 9631 D 9731 0 9031 0 9930 1 0939 1 0129 1 022
36. 20005 O UMA VR O O00 000 600 00 Y 0 O w p OG COOCOO COO0OC Qe C AAM LA Fo O QG GC DG O OS C COCO OOO O OTO 6 6 PAD C dO U pun COOOCEOC COCC COGCCE SOLO OC OCC COCO cC c 80606980606606066000606001600000606000001600007000080 ROAD MAPA MAH AL MON FORI aate Que ppt parque po lt 9 9 b o s p 0540 6 2 4 0 nn O 2 42 LAW GI De dod AN NP O OD UNI POO OO RIA OG GG b OQ uA Qe Giai AD Cp PULR Gp GO Cb Qn O A CARP OU amp OG 46 P 4b BO by A FUP O Pu das Qo Cbar QD On GBP 474 Ule BU OB 40 o b e watu Q LILIA p DIO O OCU t Oo guo boo pud Quo Put fu Gp NV ip IO CCP Call P Lad HL ao LL a LC BUT GUB DDD OC Y OOO DI tmo 609 8599 5 99 50 PARIS SY CI Di A BRAD O VAIN O HO AD O w Q DO e 9 po pu ru detec Qu do Gun NO OC D Gb P amp amp P GOB OOO e A das A dora Las iade is ds OO CAAO DO bp b Oe
37. 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 Name PORR1 PORR2 PORR3 POR1 POR2 POR3 WEFF DUMMY 60 cl ALFAF ALFAC EC HOHE HOFISG HMEY ER KM CRS AO EO El E2 E3 E4 EFIS KMAX DELK NPL BFL FCLAD FUO2 KSW KHTSW MHTSWL Unit Ia W m W m W em C W em C Kg mm W m W m W m MeV MP MP K cm n FIMA pIMA The porosity in the fuel is assumed to have three typical radii PORRI PORR2 and PORR3 the porosity in each group is POR1 POR2 and POR3 Densification parameter Dummy variable lst and 2nd order terms in the thermal Conductivity of zircaloy Thermal expansion of the fuel U05 Thermal expansion of zircaloy Young s modulus for zircaloy Contact conductivity with helium gas Contact conductivity with fission gas The Meyer hardness of zircaloy Mean thermal conductivity of Uo and zircaloy Constant in the gap conductions equation Not used Factor in the porosity correction to the Uo thermal conductivity Constants in the UO thermal con ductivity equation Fission energy Constants in relation to plastic deformation of zircaloy Coefficient in the fluence hardening zircaloy creep 00 creep Solid swelling rate Constant in the hot gaseous swelling rate Maximum gaseous swelling fraction iS 52 53 54 55 56 57 58 59 60 61 62 63 64 65
38. 4 Oo wr PO VY o DORA NN ra IX OMOS GR WH 49 4 5 4 9 PPP Po Poe up OUS ur go O OPE O PAMPA isos ee OPE e sg ett 8 90 62 080 009 9199 9990 9099699499899909808 L 4 4 lt O NE BOO M UP 9 W089 OOO 2000000 90 20 OP O O OO 0008 p e ODO O00 000 O OIDO OO OOOwvwun 2 000 00 XO lt y se 909000090 99507 o O gt gt 920 00000 lt 6 eto e R AR A A O08 EOI OO e s DD K PSD MOR Me C 0 MIO A DR PW POE RED 2 o lt 9 1 0 4 9 O 9 9 9 9 9 o 9 G 9 e o lt 9 b o OO 00000 0000009 200000000000000000 00000000 C90 0404 x TR nen APG GO 4D 4D NIINDO PE AND INS APODO OO DO qd E E UD NDA PASANDO 4 OFPR N COD af OF e Go n O O Ore CEP DIN mr KN MD OQ Oc ENO PDE 4 ODM Qy yh IN os VO e 0 6 6 VV CAO O IAS NAS ANIOS IO INSIGNIA e q lt e hs e et 4 Wu Pu ANDAR DY h ni q rp
39. 43 23a 702 0 7540 200 u2 0 0337 lt 35 0 0 133 560C 03 0 9930 55 659 0 8 0309 33E 02 8 1165 10 02 0 1962 e 383C 02 0 2759 110 92 0 3550 201 02 0 0353 lt 2 4 02 0 3149 e q00 02 0 5946 19 02 0 6763 121 02 0 7500 625 03 0 0337 996 03 0 9133 e349 702 0 9930 V 733 02 0 0804 0498E 02 9 1265 s518C 02 0 2062 etaTE 02 0 2059 39u 02 0 365 351 02 0 8092 320E 704 0 5247 e 99 7902 0 6006 255 e2 0 6843 s 2298 02 0 7639 199 04 0 6830 e12SE e2 0 9233 0 1 0030 6005 02 0 0460 29C 704 0 1202 830 02 0 2004 302 02 0 2059 309s 2942 0 3059 lt 275 02 0 0052 249502 0 5249 10909 02 0 6000 1S2 02 0 6003 110 704 9 769 5398 03 0 0436 030SE 03 0 9233 0 120677 lt 7 0 lt 02 0 0568 6021E 702 0 1365 94 913 02 0 2161 2 931 02 0 295 347E 02 0 3755 34a 02 0 0352 e 310 799 0 5349 291 702 0 6145 25 E 02 0 6982 240502 0 7739 173 093 6 0535 1286202 0 9333 837 07 0 0569 327 02 0 1305 e 0929 702 0 2165 323 02 0 2958 lt 2 02 0 3755 7 0 3 02 0 0592 222 02 0 3359 lt 100 lt 02 0 6105 v 150 902 0 6982
40. 67 2666 00 0 1469 eJI21 01 0 2261 122 02 0 3050 265 e002 0 3055 811E 02 0 8631 796 002 0 5494 22903 0 6245 1371000 0 7052 9265905 0 7039 115 06 0 0035 450 905 0 9432 9241904 0 060 150 o 04 0 1409 e153 004 0 2261 135 004 0 3058 359E 008 0 3055 01616 008 0 0651 91666008 0 5040 1e 7E 994 0 6249 372 006 0 7942 eM etos 0 7039 102 00 0 8635 90 16004 9 9032 3 0229 0636 03 0 0767 T05C 909 0 1509 e3341 04 3 2361 s 133E 02 9 3157 3 3 02 9 3954 223 02 0 0751 810 02 0 5508 12 0 3 0 6345 1929 06 9 7141 3736 053 0 7938 0675 06 9 0735 2026009 9 9332 1 0329 e 43C 908 9 0767 190 004 0 1564 e193 09 0 2361 e195 09 0 3157 199 004 0 3954 161C 009 0 4751 TLL SAL 9 5308 ol b7E 06 0 6305 173C 999 9 7141 70604 9 7930 e193 904 0 0735 323935908 9 9332 157 01 0 0070 0049E 702 0 0847 971E702 0 1663 gt 8616 02 0 2440 10 02 0 3257 3605L 702 0 4054 336 lt 02 0 1031 3138 02 0 5647 275 02 0 6888 24 02 0 7281 2197 702 0 8038 166 02 2 2035 e9809 703 0 9631 211501 0 0070 590 02 0 0047 299 02 0 1663 3 gt 5 02 0 2940 320t 702 0 3287 2091 02 0 4054 250 9702 0 4851 010 702 0 5847 1606 O2 0 6049
41. 7 909 0 3257 2 12909 0 0058 2551o09 0 49051 ed02C 09 0 504 2920 020624 300 909 0 281 0 3396909 0 8032 3031909 0 0035 355809 0 9031 VALUES Fan 300 01 0 0149 001 01 0 0906 el11 9 00 0 170 120 00 0 2300 el 3a 00 0 3357 101900 0 0193 s 1538900 0 0950 1098 00 0 9747 s 102800 0 0504 107 gt 90 7361 231 900 0 0137 210 gt 00 6 0930 e 353 590 0 9731 56031 0 0249 e 9128 01 1266 ei 11 0 106 12X 00 0 2049 e 135 99 9 3150 143 00 0 0245 1 0t 00 0 3050 3 70 eee 09 984 e 106800 0 6663 s 200 90 0 7090 e232L 00 0 0237 o 298 90 0 9330 339 90 0 9851 VALUES FoR 100 01 0 0169 lt 109 00 0 0006 oi LOE Ses 0 176 e101 9 09 0 2560 217E 009 0 3357 s 239809 0 8193 230C gt 0 0 8996 202 00 0 5787 ed93 909 0 0584 38060 00 0 7351 e339C9 09 0 813 305 20 0 0936 o360 9 09 0 9751 01 OE cei 0 0249 10SE red 0 1966 e110 99 0 1063 102 a9 0 2059 e 220 999 9 3090 ed40 9 99 0 025 e Z60628 09 0 5050 020 3 9099 0 5860 056609 0 6093 s 3106809 0 7440 3396 99 0 0297 386 009 0 9330 e372Co09 0 9631 BELTS 002t 01 0 0349 e 9388 01 0 1105 114 90 0 1962 123X 00 0 2759 e1380 30 0 3556 193 00 0 0353 1354 90 0 5149 e170 090 0435946 ola tt eed 0 0743 20
42. 9 1 0329 153 07 0 0070 s1e2E 09 0 0867 oi BOE 09 0 1663 20309 0 2860 216 99 0 325 a229L gt 09 0 4054 s 239809 0 0051 202109 025647 e92C 09 0964448 s 308 09 0 72481 325 09 0 0039 eJa E 09 0 0835 e JOvE o9 0 9631 e153E 07 0 0070 179E 109 0 0047 21099 0 1663 ed 1E 09 092460 2290 09 0 2257 e322L 09 0 0058 345 09 0 0081 11909 025647 04136409 025408 08076709 0 7201 0 0 0 0 8030 020835 eb14L 09 629633 VALUES FoR 614600 1483E 900 0 0169 0 02469 el FOE C S 11712000 0 0966 0 1066 107009 109 09 0 1763 0 1463 eg0eC 09 206 09 0 2560 0 2059 2165099 217E 99 0 3357 0 3456 231009 231E 09 0 0153 0 8253 291009 246 09 0 4950 0 5350 26020209 269E 999 0 5747 0 584 e297C 09 300 0 0 6544 0 6643 3001909 110000 0 7341 0 7440 e325E 09 332E 09 0 8137 0 823 e3488 09 351 9 09 0 0934 0 9934 982E 09 451E 099 0 9731 0 9831 VALUES For 6140207 192600 9 0169 9 0209 e187E909 0 0966 9 10966 209999 249 0 0 1763 2 58603 e273E 09 2 20 0 2560 0 2059 30902509 300E999 0 3357 0 3086 32460209 325 09 09 4193 9 0293 369009 38490209 0 0950 0 5050 393009 3 395E 999 0 5787 9 5047 9196909 422 9 99 0 6544 9 0600 053 909 097L 09 0 7301 0 7440 4 20 20 497 599 0 0137 9 0237 325 09 536609 0 0954 0 9034 6016 09 632L 09
43. 96009 0 0992 363 gt 09 0 5389 399 09 0 6145 TELIS 056942 9067 9 09 0 7739 302909 0 0530 559 09 0 9333 1 0129 122 09 0 0667 179 009 0 1864 e198 0 9 0 2261 213 0 0 3090 220 09 0 3655 231558 09 0 4651 258 0 0 5948 209F 009 0 6245 308E 09 0 7942 3246 009 0 7839 3860009 0 8635 3596009 0 932 1 0229 150E 09 0 0667 0230 009 0 1468 2605 09 0 2261 e201E 09 0 3050 e308t 09 0 3855 342 09 024651 3635009 0 5490 4010009 0 6209 437 09 0 7042 e47 1009 0 7839 3513 009 0 0639 05770009 0 9432 1 0229 91600 90 076 180E 09 0 1564 200 09 0 2361 216 09 9 3157 2229 O9 0 3958 65235050 0 4751 ed58E 0v 2 5548 2290E 09 0 6345 397 509 9 7141 2 325E 09 0 7930 347 09 9 0735 2 egg 909 9 9532 4 0329 166009 0 0767 ed32E909 0 1568 00E909 0 2361 2 4 09 9 3157 2 3360 09 0 3959 0343 09 9 0751 201 90 0 5540 lt 904 09 0 6305 042L gt 09 v 7181 997E 09 0 7938 s918 9 09 9 0735 00 06000 0 9532 1 0329 lt 0 0 0070 ei FeE o2 0 086 102901 0 166 013ton1 0 2160 1062t 02 0 325 30 02 0 4054 3810909 0 0051 820t 02 g 0 854 159L 03 026464 324 04 0 7241 M 306 05 180 07 0 8035 1 33E 09 0 9631 e133 5 04 0 0070
44. A JdAl dNyna dM31 NY 4431213 4 eL rete reses jJ guVYX X NId 31715 304 Jel ah ANALNI ud SINIVA NYIN JHA 9N15n NOLAVINS twd 911 INIWU3130 3271 db dii As ne a A APRA ABAD DO R ST PIANO PUES REDES AA aou a tuit eredi CORPS BP R GR S FS gw SF te 9 9 9 O o 5 9 Oo OQORX OOOOOOOOOOOOOOOOOO rePMeretururergP ap ap NA a e 4o 2 DA 9 lt lt 9 C Ww 9 eee ese E FAA PODIA Marta APA pa wre op BBD PPP PPP Be lt lt n BSE 9 U 49090120 R amupa Conn CIO CORE Pe Weed CP Gb 2952S 5949929j220292529 9242954 9 2292529292922225949 92253532900 PND II IPUR TI TIA II III RN 5 DP SAGE f iei P RU OA SEAS E
45. A TRUE a file with the name FILES is generated The file con tains the complete input for a calculation with the WAPER code Should be used together with IROD 0 If IPOW 1 the stochastic variables in the power history are used If IPOW O0 the stochastic variables in the power history are neglected The heat transfer model proposed 3 by Ross and Stoute is used Selector for the 3 possible gas release models A model proposed by W B Lewis A modified pNwET model For fuel temperatures below 1000 4 a constant instead of the proposed equation is used The Loopy model developed at Studsvik The NRC correction for high burnup is incorporated in all three models Swelling model from ref 1 NKPSW TRUE Swelling model proposed by N Kjar 7 Petersen EPSILO R EPSH R EPSK R ANTITR 1 MAXTID R POWO R DGO R DRBRG MAXPST I NANULI 1 0 iE 1 0 1 1 0 1 1 100 800 0 2000 0 0 5E 5 0 5E 1 20 zi General accuracy used as stop cri teria in iterations Stop criterion for iterations on the gap conductance Stop criterion for iterations on the contact pressure Maximum number of iterations Maximum time step for constant power nours Maximum power scep during contact W m Constants used fcr the determina tion of the time step length Number of annuli used in the cal culation of gaseous sweliing NANULI 50 2 3 Stochastic variables in design and material da
46. Conference on Structural Mechanics in Reactor Technology San Francisco Calif 15 19 August 1977 Edited by T A Jaeger and B A Boley Vol D Commission of the European Communities Luxembourg Paper no p 1 3 2 Fuel 28 APPENDIX A A numerical example The use of the program is illustrated by an example which simu lates a control rod sequencing in a BWR where the power is returned to full power immediately after the control rod move ments A fuel rod in a high power position close to a control rod which was inserted a short period and then withdrawn is analysed For the design data values are chosen that are typical for BWR The power history design data and stochastic variables in the material data are described in the following The power as a function of time is shown in Fig A l The uncertainty of the individual pin powers as calculated by a reactor physics calculation is at least 153 71 standard deviation The three power levels P Pos and P3 can be con sidered as independent The uncertainties of the fast flux and the outer cladding temperature are assumed to be tss 51 stan dard deviation and 223 1 standard deviation respectively The power levels the outer cladding temperature and the fast flux are assumed to follow a normal distribution The irradiation conditions power history are summarized in Table 1 The used design data are shown in Table A 2 The nominal values are used as mean v
47. OTID run variables I x Stochastic variables in design and material data data Specific data for an experiment Can be repeated for up to 100 experiments H t Power history each card describes 1 time step X Design and material data spe Experiment name and experimental cific for this experiment Figure 2 Syntax of the input to FRP Head Text information about the run 1 card 2 2 Con A namelist GEOTID containing administrative variables and numerical constants 2 2 1 Miministrative variables Name Type Default CASE 1 1 Selector for calculational mode CASE 1 Deterministic calculation using the mean values of X CASE 2 Monte Carlo simulation Ff 3 Calculation by a second order Taylcr approximation CASE 4 Deterministic calculation using he mode values of X IROD I 0 Selector for experiment O lt IROD lt 100 IROD 0 Gives the result for all experiments specified in the input IROD 0 Gives the result for experiment number IROD LOOPS 1 100 Number of trials in a Monte Carlo Simulation 2 lt LOOPS lt 1000 RANDST 1 777 The starting point for the random generator RANDSTX0 NBGR 1 1 Grouping of the Monte Carlo output see p 23 POINTS 1 3 Describes the polynominal approxi mation used for the calculation of ORDER 1 1 the partial der vatives in the Taylor approximation A polynomial DEL R 0 5E 1 of order ORDER 15 fitted to POINTS sets of x F x where the value
48. RIS IO Pu RERA DIA PUERO RIAI SOSA kuupa PIDIFGPOPIPIS ORE AA 6000400600404 lt 2222 2 222 22 CUDASS EIA A SSA RUANO O OOO OO OUR BA wiwi f dr PRADO COCO 797474700 060 CAIDO CCE E amp EONS amp 44 Gp au D OD PON IP lt GA OS Den AO TP lU DEBRA b b BMRA APARATO O dr YI A 0 0 OOO te AJ a do E RAI OO IDO O IO ao 2 OF Dp Swe amp DI wo AMBAS OP OO p CF ALA AA us ANI diet pir e do pr Qd ero ARA A I Eo A Ln 5 RAMA PUR GI TJ TR ERARIO p Gp B d UA OO O AR aa DOGS e 5 lt v 9 9 o 9 9 e e OoOOOOO0OOOOOOOOO0OOOOOOOOOOO OOO OO OOO OOCO CO e O 9 9 O O lt O lt lt lt lt lt lt lt gt 0 INIA IRA EIRP FUGA IU A ED Rb IRA fO F pP ANIOS f D C SESH SESS E A IAN a PITO PIPAS 45 AUR 0 0 0 30 30 M Ndd dd NIZA 48331 39918484 MN 300 A54 130014 34v 4 134 34051 QN 411 N6011venQ 3 lt 05 3 YIND
49. RISQ M 2257 USER MANUAL For the Probabilistic Fuel Performance Code FRP John Friis Jensen and Ib Misfeldt Abstract This report describes the use of the probabilistic fuel performance code FRP Detailed descriptions of both input to and output from the program are given The use of the program is illustrated by an example INIS descriptors BWR TYPE REACTORS F CODES FAILURES FUEL PINS MANUALS PERFORMANCE PROBABILITY PWR TYPE REACTORS RELIABILITY UDC 621 039 548 519 283 681 3 06 Octok2r 1980 Riso National Laboratory DK 4000 Roskilde Denmark ISBN 87 550 0715 5 ISSN 0 418 6435 Riso Repro 1981 CONTENTS page l INTRODUCTION a R 5 2 INPUT SPECIFICATION cesiones 7 2 1 Heading ai 7 2 2 Control variables 7 2 2 1 Administrative variables 8 2 2 2 Model selectors DN ACE RUE q s 10 2 2 3 Numerical data 11 2 3 Stochastic variables in design and material data V 02 2 4 Experimental data EE noi 15 2 5 Power history Hit Es 2 6 Special design and material data X xd wel 16 3 OUTPUT SPECIFICATION o oc e O 3 1 Detailed description of the output common for all Cases ala 3 2 Description of th
50. alculation with FRP The output corresponds exactly to the job given in Appendix B CONTROLE vARIABLES ADMINISTRATION VARIABLE 35 EXAMPLE l 0 060009 00 00000000 MUDEL CONSTANTS READ YIA NAMELIST GEOTIO NUMERICAL CUNSTANTS UE Pad AKPSTe PSILUs PSN e ANTITRe GENERAL INPUT DESIGN DATA 0 h a 000 ttu 10937 d 159 y dor o1 NU VARIABLE DISTRIBUTION acl don BE ngneat DES 3 p GRAIN N dE ges HEN INPUT PJuER MISTORY STEPNR SLUTTID EFFEKT Tey uii d UB FP eeccooceceo wa PJN NEAN VALUE 03330702 1035 93 000 541 X lt Pi mj Die ab G00000000 00602400000 INPUT DESIGN DATA DISTRIBUTION MEAN VALUE COEF OF eo oo 0 0 350 00 ETT KAPPA 000000000 6 COEF OF VARe e m E yw RO 66646 OPTIONS Oe FIFAST 1 000 900 06 1 iB 1 000 DY q x 099000009 040 gt h Pu AI ule EIN AP 000 sp UB MID EE 1 ip PARO DO AD OCODE Danni 71970 SBE EI UA DA DUDO EF gt 3 A07 QOIS JA X a p pa gt CC Ceca o mme 5 A
51. alues the standard deviations are based on typical tolerances for BWR fuel All design variables are as sumed to be normally distributed For the material data the default values in FRP are used The mean value standard deviation and distribution type is shown in Table A 3 for the stochastic variables in the material equations POWER LEVEL 22 IRRADIATION TIME Fig A l Power history for the example Table A l Power history for the example period power fast flux outer cladding h w cm 101 45 c9 sec temperature 9c 0 24 0 360 0 1 0 295 24 15400 360 1 0 295 15400 15401 360 136 1 0 0 4 295 15401 17630 136 0 4 295 17630 17630 01 136 410 0 4 1 15 495 17630 01 17654 410 1 15 295 A A ST a l A 7 mean values Table A 2 Design data for the example Short Mean Standard Design parameter name value deviation Unit Inner cladding radius RCI 5 33 0 0075 008 Cladding thickness TCLAD 0 80 0 021 ma Rad al gap TGAB 0 11 0 011 mes DenSity TDEN 96 0 67 4 TD Equivalent length Lo 3 6 0 72 R Plenum volume 37 7 4 cn Pill jas volume RF 37 7 4 ca Cladding yield strength at 300 SIGMAF 300 15 MP Inverse neutron diffusion length KAPPA 80 16 1 Average grain size GRAIN 25 5 Cladding surface roughness RH1 130 26 Fuel surface roughness RM2 90 18 um Densification parameter WEFF 0 1x10 0 035x1074 Anisotropy factors YF 5 YH 75 YG 25 Porosity distribution 0 16 porosity with
52. e PFACI Parameters in the WAFER swelling model Inner fuel radius in the LOWI design Dummy variables The end of the material data list 15 indicated by a No gt largest valid number 80 2 4 Experimental data It is possible to specify the most important PIE data in connec tion with the experiment name these data are then printed in a table together with the corresponding calculated values 2 cards Experimental name col 1 6 Midpellet ramp strain EPSMAX col 11 20 Interface ramp strain MEPSM col 21 30 Max centre temperature MTCENT col 61 70 Midpellet EOL strain EPSSL col 71 80 Interface EOL strain MEPSSL col 1 10 Released fission gas RELFG col 11 20 Failure l failure O No failure col 31 40 5 6 uw 2 5 Power history H t Each card contains the following data in format 7G10 0 step end time hours step power W m step outer cladding temperature c i card step coolant pressure Pa step inverse neutron diffusion length KAPPA mi step fast flux n cm S The number of subdivisions of the step If for any step 7 step 1 the power the outer cladding tempera ture the coolant pressure KAPPA or the fast flux are 0 0 blank columns the value from the previous time step is used in the time step If KAPPA 0 0 in time step 1 KAPPA is assumed to be constant given by KAPPA in the design data The power history is terminated by a step end time 0 0 2 6 Special des
53. e output special for determinis tic calculations CASE 1 and 4 A 20 3 3 Description of the output special for Monte Carlo Calculation CASE 2 cisco 23 3 4 Description of the output special Taylor approxi mation CASE eene Wr tese 24 3 5 Additional output for OUT 2 Maximum output 26 4 REFERENCES lt lt 6 2 0909 909 09 0 0o P P P lt 27 APPENDIX A Specification of an example APPENDIX B Complete input for a calculation APPENDIX C Complete output from a deterministic calculation CASE 1 APPENDIX D Complete output from a Monte Carlo simulaticn CASE 2 O l INTRODUCTTON A computer system for the statistical evaluation of LWR fuel performance has been developed The computer code FRP Fue Reliability Predictor calculates the distributions for para meters characterizing the fuel performance and failure proba bility The statistical method employed are either Monte Carlo simula tions or a low order Taylor approximation Included in the computer system is a deterministic fuel perform 2 ance code FFRS which has been verified by comparison with data from irradiation experiments The distributions for all material data utilized in the fuel simulations are estimates from the best availarle information in the literature For the failure prediction a stress
54. ign and material data x The specific design and material data for each experiment are in the same format as X Even if no specific design and material data are present the logical unit specific must be termi nated by a card with no gt 80 I x 3 OUTPUT SPECIFICATION The general form of the output from FRP is illustrated in Fig 3 Each bracket corresponds to a logical item which is further described in the following The parameter OUT determines the amount of cutput on the Figure is specified for which values of OUT the individual logical items are printed Head Control variables x Experiment name H t X X Stochastic variables used for this l For each experiment X with the changes experiment specified by X OUT gt 1 CASE 1 and 4 failures xt Distribution of EOL and extreme CASE 2 and 3 pe and w t Fuel state and clad values ja 2 EOL and extreme values compared CASE 1 and 4 with experimental values probability compared with CASE 2 and 3 i EOL extreme values and failure experimental values Figure 3 Output from PRP 18 3 1 Detailed description of the output common for all Cases Head Control variables General input design Data x NO VARIABLE DISTRIBUTION MEAN VALUE COEF OF VAR Input power history H t STEPNR SLUTTID EFFEKT TCY PY Always printed Always printed Pr
55. intout cf the present variables Always printed The number of the variable The name of the variable The distribution used for the variable The mean value of the variable The coefficient of variation for the variable Printed for OUT gt 1 Step no in the power history The accumulated time hours at the end of the time step The pin power at the end of the time step W m The outer cladding temperature 0 C The outer pin pressure Pa FIPAST Design data X Material data X CASE X 19 The inverse diffusion length The fast flux energy gt 1 MeV Printed for OUT gt 1 Outprint of the design data including the default values Printed for OUT gt 1 Outprint of the material data including the default values Deterministic calculation using the mean values Monte Carlo simulation Taylor approximation Deterministic calculation using the mode values At last there is a comparison of some important calculated data and PIE data for each of the specified pins Where no PIE data is specified a question mark 15 printed Exp no Name EPSMAX MEPSM Experiment numbers in the input Experimental name Midpellet ramp strain Calcu lated from the time step given by RAMPST If RAMPST 0 the deformation between the EOL stra n and the minimum strain during the life is used As for EPSMAX with stress concentration SIGMAX PKSTRS MAXSCD MTCENT EPSSL
56. odd vr VI 08998080 009 990 99099949 09909 49990900990009900 O NOV OMR ANO io S OMON 0 19 VE NOUR DD RN lt HOODS ODS O KAR O O u ALADA moe omes Ow p y lt o OOO OOO O00 C9 OQ 0 e OG Phan m 0900 MOF won e PAREN NA AA NOAA s ue dein ves 0 9 0 9299 9 9 o CB O98 O00 602 66086509 OOOCOCOOOO SI 8 00602909 090 009 900999490990995909 A De DP rtu d I OO 9 a ch O gt o 0 NAPA GP M Pu OOS O Gb OQ ep A BARD p BB DD DDD DIAS IU IU G RO RER RA IAS 129 0 unap inb inb RA ARAS AA 06000666046060 800600060 0000 lt GNE GG qp qe go codi PDD ESS 00900 8900080098909990090999099996 20 90 9 Pt taa w Ps pU uUo DD CS BO O O Gy rar IR RAM Ma DI NES P O Veto SORA C A Pv O HOON UO 0020 ecoocoooooooooooocooooooocoooooooooooocococooooocoocooco 09 09009 290999999 999 9 90 2 0 9 9 9 OS OQ O GO OOO 060609 006 000058 60000 9 20 CO O08 ONOHOO Qc OR OQ 4 0002006
57. r 0 1 ym 1 6 porosity with r 0 6 um 2 24 porosity with r 6 yum 31 Table A J Stochastic variables in the material equations Material property U0 thermal expansion of uo and zircaloy constant in the gap conductance equation conductivity Fission energy Zircaloy creep UO creep Solid swelling Hot gaseous swelling Parameters in PPRS Short Distri Standard Unit name bution value deviation Zircaloy thermal conductivity CO K 13 5 1 01 w m ALFAF M 1x10 0 lxl0 5 Zircaloy thermal expansion ALFAC N 0 53x10 5 0 05x10 Youngs modulus zircaloy EC N 7 6x1019 0 5 1010 w m Mean thermal conductivity KM 6 5 0 98 W m CRS LN 1 2 0 42 Factor n the porosity correction to the UO thermal conductivity EO D 2 5 0 5 Constant in the UO thermal EI 8 056 0 3 EFIS H 200 20 MeV KMAX N 1 2x10 0 12x10 MP Zircaloy plastic deformat ion DELK K 1 4x10 0 22x10 MP K NPL N 0 1 0 012 BFL 0 4x107 0 08x10 21 can PCLAD LN 1 2 0 5 gt 2 LN 1 7 2 5 KSW 0 8 0 08 vina M 4 75x10 3 110 rima 1 1 MMT SWL N 0 1 0 02 Poissons ratio zircaloy NY N 0 3 0 07 QREP 20 x10 4 x10 QBURN 0 5x107 0 1x107 Stress concentration in the cladding SIGFAC M 1 25 0 2 Eccentricity of the pellet ECCEWT LN 0 5 0 2 N normal distribution LN lognormal distribution 32 APPENDIX B Complete input for the example described in Appendix A
58. r ministic value calculated using the mean value of all stochas tic vaciables 3rd order term in the approxi mation of the variance Coefficient of variation The skewness relative to the degree of spread The relative measure of kurtosis 26 3 5 Additional output for OUT 2 Maximum output For OUT 2 there is an output of the namelist GEOTID After the material data there is a complete outprint of the initialized data so it is possible to check the values in case of trouble In CASE 1 there is an outprint of a name list TESTUD containing global variables for FFRS In CASE 2 there is an outprint of the values of 2 for each Monte Carlo trial 4 6 Ta 2 REFERENCES MISFELDT IB Probabilistic Assessment of Light Water Reactor Fuel Performance Ris Report No 390 October 1978 63 p MISFELDT 1B FFRS A Computer Program for the Thermal and Mechanical Analysis of Fuel Rods Ris Reports No 373 February 1978 53 p ROSS A M STOUTE R L Heat Transfer Coefficient between UO and Zircaloy 2 AECL 1552 1962 67 p LEWIS V B Engineering for the Fission Gas in Nucl Appl Vol 2 April 1966 171 p BEYER C E CAPCON THERMAL 2 A Computer Program for Calculating the Thermal Behaviour of an Oxide Fuel Rod BNWL 1898 1976 JOON K et al Private communication KJER PEDERSEN N A New Version of the LWR Fuel Performance Model WAFER In Transactions of the 4th International
59. s of x are spaced by DEL x mean X for DEL gt 0 or by DEL x standard deviation X for DEL O 1 integer real and logical Name Type Default TRUE ALL FALSE IMPORT Integer array FILEUD I MAXBER 1 PAR R 1 00 FILEUD 0 PILEUD X MAXBER 1 All stochastic variables are used in the Taylor approximation Only the variables specified by IMPORT are used in the Taylor ap proximation If IMPORT i 1 variable no 1 is included in the taylor app ALL TRUE overwrites IMPORT IMPORT is initialized to all zeros Generation of data to plots No plot information The plot information is written on permanent files with the names FILEX where X is FILEUD PILEUD 1 for the experiments in the input 11 lt X lt 20 are valid file names No calculation with maximal inter action For MAXBER 1 the program performs 2 simulations the normal as for MAXBER 0 and a calculation with maximal interaction where the same time step and gas release as in the first is used but the thermal expansion of the fuel is ALFAF x MALFAF and the BOL cold gap is TGAB x MTGAB Factor for modification of the standard deviations All standard deviations are multiplied by PAR OUT I 0012 1 WDATA L IPOW 1 FALSE 2 2 2 Model selectors Name Type ROSST RELMOD I NKPSW Default TRUE FALSE RELMOD 1 RELMOD 2 RELMOD 3 10 Minimal output Normal output Maximal output Not used If WDAT
60. ta x Each card in X contains the following data Variable Distribution The mean value 1 card col 1 10 col 11 20 col 21 30 The coefficient of variation col 31 40 Defined as the standard deviation divided by the mean value If the mean value 15 0 0 the standard deviation is giver directly yos The remaining coiumns are not used Valid distributions are amp C e normal distribution lognormal distribution uniform distribution deterministic value The integers in cols 1 10 and 11 21 must be placed correctly and justified without any decimal point The variables need not follow in ascending order X 80 DESIGN DATA amp UU N F 0 O 11 12 13 14 15 16 17 Name LEQ RF RR SIGMAF KAPPA YF YH YG GRAIN RH2 cm cm 9 is terminated by a variable The pellet length not used Inner radius of the cladding Thickness of the cladding The radial gap The pellet density in per cent of the theoretical density The equivalent stack length Volume of plenum Volume of the fill gas helium Additional gas volume fission gas mixture Uniaxial yield strength at 300 C for unirradiated material The inverse diffusion length for thermal neutrons in the fuel Anisotropic factors for the cladding material Grain size in the pellets Surface roughness of the cladding Surface roughness of the pellet 18 19 20 21
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