ML20153E679
| ML20153E679 | |
| Person / Time | |
|---|---|
| Issue date: | 09/23/1998 |
| From: | Lyon W NRC (Affiliation Not Assigned) |
| To: | NRC (Affiliation Not Assigned) |
| Shared Package | |
| ML20153E672 | List: |
| References | |
| PROJECT-693 NUDOCS 9809280206 | |
| Download: ML20153E679 (33) | |
Text
_ -
9/23/98 NOTE TO: File 4
FROM: Warren C. Lyon, Sr. Reactor Systems Engineer Reactor Systems Branch, DSS A, NRR /'f <
SUBJECT:
PRELIMINARY ASSESSMENT OF B&W BORON DILUTION ISSUE
REFERENCE:
" Evaluation of Potential Boron Dilution Following Small Break Loss-of-Coolant Accident," The B&W Owners Group Analysis Committee, Framatome Technologies, 77-5002260-00, September 1998 We have written an Excel model to calculate the Reference small break loss of coolant accident event tree (Ref Page 5-11)(with minor modifications) and have extended it to cover reaching prompt critical and core damage conditions. This allows rapid assessment of variations in key parameters.
The following table illustrates variations and predicted results. Note these are illustrations and do not represent staff review or acceptance ofinput parameters, the modeled tree, or the results.
ILLUSTRATION OF B&W BORON DILUTION CALCULATION METIIODOLOGY C Events / reactor-year a Item ______________
s Criticality Prompt Core e
, Criticality Damage 1 FTI estimate of 1194 ppm deborate slug,85 p m to 8E-6 4E-6 0 move from criticality to prompt criticality, and WO ppm from prompt critical to core damage 2 Case I with FTI's estimate of model conservatisms 0 0 0 (1194 ppm goes to 1573 ppm) 3 Case 2 with uncertainty of 500 ppm subtracted from 2E-5 lE-5 2E-7 FTI predicted deborate slug boron concentration 4 Case 3 variation of reactivity insertion to cause core damage given prompt criticality: j 50 ppm 2E-5 IE-5 7E-6 l 100 ppm 2E-5 IE-5 5 E-6 t
300 ppm (FTl estimate for core damage) 2E-5 lE-5 2E-7 l
1 400 ppm 2E-5 IE-5 0 l 9809280206 980925 I PDR TOPRP ENVBW l C PDR Attachment l
I
g The model consists of five sheets:
L l INPUT (Page 3) All user input values are provided via Column B of this sheet. (Cell B15 is L calculated from Cells B6 through B14 and a value should not be entered into Cell B15.) Cell A3 provides a title that prints with each event tree.
Cells A8 - 17 may be input as well.
DATA (Page 4) The six number columns in tha top section list fixed values used to generate
! - the three curves shown in the center section. The critical boron concentration and xenon-equivalent boron were taken from the Reference.
(Points are the values read from the Reference and should not be taken as -
data.) The probability of natural circulation restart uses the Reference 0.9 -
at 22 hrs and uses postulated values of 0.8 at about 13 hrs and 0 at about 6 hrs. The equations are more readily read in the expanded illustrations of Pages 5,6, and 7.
The equations are used in the spread sheet calculations and the values i indicated in the lower right region of the sheet correspond to a selected calculation. The formulas used in this section of the sheet are provided in Pages 8, 9, and 10. Framatome assumed emergency diesel generator non- ,
recovery probability could be used for HPI non-recovery, and we assumed !
a curve fit from another project, as illustrated in Lines 45, 58, and 71, for l this behavior.
CALC (Pages 11,12) The formulas used for calculating the event trees are provided on this sheet.
TREE (Pages 13,14) This is the criticality event tree with references to value locations on other sheets. Page 14 reproduces sheet INPUT as part of the output.
TREEl (Pagesl5,16) This provides references to value locations on other sheets for the prompt-critical and core damage event trees.
i
~
1 1
6 INPUT A B 1
9/23/98 2 All input for Boron Dilution Study 3 FTl 9/11/98 REPORT TREE CASE 4 Input Data 5 Item ppm Boron 6 FTl prediction 1194 7 NRC acceptance margin to account for model uncertaintyj. value) 8 FTl adjustment for core axial boron distribution 9 FTl adjustment for radial core flow distribution 10 FTl adjustment for inner core mixing 11 FTl adjustment for mixing with entire downcomer and lower plenum 12 Ad,,iustment for .
13 Adjustment for . .
14 Adjustment for .
15 " Actual" boron slug without xenon adjustment (,otal t of above). 1194 16 FTl estimate of delta boron from critical to prompt-critical (- value) -85 17 FTl estimate of delta boron from prompt-critical to core damage,,,( value) -300 18
, 19 Item Value 20 0.005 - 0.05 sq ft LOCA freque,ncyjlOCAs where NC can be lost) 5.50E-04 21 2 HPlpump frequency 0.995 22 1 HPl pump frequency 0.004 23 Fraction of 2 HPI operation where NC can be lost 0.78 24 Time NC can be started following recovery of one HPl to achieve two HPI, hrs 8 25 A
l l i l l
l , DAVA '
l l -
CORRELATION DATA, CORRELATIONS, AND USE OF CORRELATIONS 9/23/98 1
Cntcal time aner' Delta ppm Twne aRerUkewood Deta comTrne after coron, . shtudown, menon shtudoet NC wil menon shtudown, R2m EFPO 4 hrs equrvalent Mrs restart equnalenthrs 0 350 _
6 0 475 7 1475 5 14 400 i to 07 450 11 1270 100 37 450 13 08 400 15 1 1090 200 7 475 18 0 87 350 18 2 930 300 11 450 22 09 300 20 3 765 400 15 1 400 46 0 91 250 25 7
.__ _._ 550 500 18 2 350 30 0 92 200 30 205 650 20 3 300 150 35 3 130 680 25 7 250 100 41 6 30 200 49 52 4 35 3 150 31 60 ~
41 6 100 24 65 52 4 49 22 70 60 31 1 65 /4 1 7'O 22 Crttical Boron Concentration versus Tirne 2 Probability or Natural L irculaUon Restart,2 HPl
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, ,ve.mNf518@Ca m 0 Soo 1000 1500 i e to 43 30 Seren Concerem som Tbne ames Shaadong ks l
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Xenon Equivalent Soron concentracon For calculation of criticality:
Erwer ppm m J, caic EFPO m K, Anal wth bac bounds m M 119411331327l 1331327 133 1327
' j 70 ^ 1. . ,. .a w - a - , a:. ; ;
ss*
- i I Enter tune m J, calc NC restart probatulity m K
,,, t saa0E42r# 4 12st4E*00s
- 9 0M25*01 20 2452 09002] l l
} So . I I l 4 Enter tune m Mrs m J. calcOG non-recocy m K ( from shutdown 12 24521 0 3003221 1 3
! I I I'20 Enter ppm m J. cae Xenon hours at K j ,, . 306l 20 24521 1 1 I I I'
- For calculation of prompt-criticality:
0 in 2m am em m Enter ppm m J caic EFPO m K,6nal with lo 2c bounds m M j *= Ca**'*** 88'" 12191 85 1391 85 1391 85 139 J I I I i
. . . .> . er tune m J. calc NC restart probatality m K i 28 11142 0 929432 l l 1 l l i i i i i i Note To 61 more closely wth the FTI repntt case the EFPO curve fit constant of Enter tune m hrt m J calcOG non-recovery e K (from shutdown r 145 6192 was changed to 738. the OG Ra 0 97093 to 0 932. and the NC restart 20 111421 0 2204911 I hom 6 851848 to 6 84291 OG nonrecovery aeso set to i for time < 0 5 hrs 1 I I
! I Enterp m J caic xenon hours n K i i f 2211 26 111421 I I i l
! . I 1 I i i
l :!
! For calculation of core damage: 1 1 -
1 i Enter ppm m J. calc EFPO m K. Anal eth bgc bounds in M T r i 150 T097 35191 O! O!
i .
4 i . ! ! I I i ! i i i IEnter tune m J cmc NC restagobabmty m K
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Enter time m hrs m J calcOG non-recovery n K (from shutaown r ~
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7 ' i 281 0 045376! i '
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i ; ! l 1 I - . - . - - . - l Enter p c enon hounK l
M
- a DATA Chart 8 Critical Boron Concentration versus Time 700
. y = 2.6055SE-10x* - 7.10081E47x' + 51506SE-04x2 - S 52780E-01x + 7.45619E+02 500 E 1 8-
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DATA Chart 7 -
Probability of Natural Circulation Restart,2 HPI 1
09 ; :
08 0.7
$ 06 B
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. DATA l J
37 For calculation of criticality:
34 Enter ppm in J, calc EFPD in K, final with logic bounds in M 39 = MIN ([DIL2.XLS]CALClB17,1500) 40 41 Enter time in J, calc NC restart probability in K 42 = MIN ([DIL2.XLS]CALCIE15,30) 43 44 Enter time in hrs in J, calcDG non-recovery in K ( from shutdown rule) 45 = MIN ([DIL2.XLS]CALCf H15,28) ,
46 47 Enter ppm in J, calc Xenon hours in K l l
48 =[DIL2.XLS]CALCfB15 49 so For calculation of prompt-criticality:
51 Enter ppm in J, calc EFPD in K, final with logic bounds in M 52 = MIN ([DIL2.XLS] CALC!B32,1500) 53 54 Enter time in J, calc NC restart probability in K 55 = MIN ([DIL2.XLSJCALC!E30,30) 56 57 Enter time in hrs in J, calcDG non-recovery in K (from shutdown rule) 58 = MIN ([DIL2.XLS]CALCtH30,28) 59 60 Enter ppm in J, calc Xenon hours in K 41 =[DIL2.XLS] CALC!B30 62 63 For calculation of core damage:
64 Enter ppm in J, calc EFPD in K, final with logic bounds in M 65 = MIN ([D!L2.XLS]CALClB48,1500) 66 67 Enter time in J, calc NC restart probability in K 48 = MIN ([DIL2.XLS] CALC!E46,30) 69 70 Enter time in hrs in J, calcDG non-recovery in K (from shutdown rule) 71 = MIN ([DIL2.XLS] CALC!H46.28) 72 73 Enter ppm in J, calc Xenon hours in K '
74 =[DIL2.XLS] CALC!B46 l
u
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37 38 39 =0 000000000260555'J39^44 000000710081*J39^3+0 000515066*J39^24 55278*J39+738 43 41 Y s6F(ulN(J42 5 98,0) 0,4 0000001346985'J42^6+0 0000165782*J42^54 0004 32281*J42^4+0 02181481*J42*34 3155759'J42^2+2 409432*J424 84291) 43 44 45 =lF(MIN (J45 0 SAO,4 0000048429'J45^4+0 0001914*J45^34 00025505*J45*?4 06827'J45+0 932) 48 47 40 alF(MIN (478-J48.0).0.0 00000000000019912*J48^64 00000000034837'J48*5+0 t 7)0002372*J48^44 000079681*J48*3+0 01388'J48*212914*J48+90 29 48 50 41 2
,,8_2 ;0 000000000260555*J52^44 000000710081*J52*3+0 000515066*J52^24 55278'J52+738 53 54 3 alF(MIN (J55-5 98.01.0.4 0000001346985'J5586+0 0000165782*J55^54 000832281*J55*4+0 02181481*J55^34 3155759*J55*2+2 409432*J55 6 84291) 58 67 Se 69
=IF(MIN (J584 5.0).0.4 0000048429'J58'4+0 0001914*J58^34 00025505*J58^24 06821*J58+0 932L to 61 *lF(MIN (47841.0) 0,0 00000000000019912*J61^64 00000000034837'J61'5+0 0000002372*J61'44 000079681*J6183+0 01388IJ61^2-12914*J61 +90 29 42 83 64 es *0 000000000260555*J65^44 000000710081*J65^3+0 000515066*J65^24 55278'ES+738 68 47 68 slF(MfN(J68-5 98.0) 0.4 0000001346985'J68^6+0 0000165782*J68^54 000832261*J68"4+0 02181481*J68*34 3155759*J68^2+2 409432*J684 84291) 69 10 3 slF(MIN (J714 5.0).0.4 0000048429'J71^4+0 0001914*JT1834 00025505'J71^24 06827'J71+0 932) 72 73 74 slF(MIN (478-J74 010 0 00rX)0000000019912*J74^6-0 00000000034837*J'1^5+0 0000002372*J74^44 000079681*J74^3+0 01 # 88* 1744212914*J74+90 29 7 -
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N3C ageptance margen to accasit foonodet !eiMft_._.__ __ ___ ._ _ ., ___.__. __._ _
=[DtL3.XLS)tNPUT!B9_
_ . . _ . =[DiL3.XLS]tNPUT!B10
=[DIL3 XLS]!NPUT!A8 ._____.__..._.__
=[DIL3.XLSpNDUT!B11
=lDtL3fLSjtNPUT!_A9. _ __
=[DIL3 XLSpNPUT'812
=[DIL3 XLS]tNPUT'A10
=[DiL3.XLS] INPUT!B13
=[D!L3 htSjfNPUT!A11
=[DIL3.XLSjlNPUT!B14
=[DiL3 XLS] INPUT'A12 =[DIL3.XLSpNPUT!B_5 1
=[DIL3 XLS]1NPUT'A13 =[DIL3.XLS] INPUT!B16
=[DIL3 XLSJINPUT!A14
={DIL3.XLS).lNPUT!G17
=PL3 XLS] INPUT!A15 ="DIL3.XLS' INPUT!B18
=[DIL3.XLS] INPUT!A16 _ _[ = ;0tL3.XLShlNPUT!B19
[DIL3.XLS] INPUT!A17 nem =jDIL3.XLSpNPUT[B_2_0
=[DtL3 XLSpNPUT!B21 0 005_- 0 05 sq ft LOCA freguency_(LOC _As where NC can be lost) =[DIL3.XLS] INPUT!B22
=[DIL3.XLS][NPUT!B23_
2_HDI pump frequency 1 HPl pump kequency =[DIL3.XLSpNPUT!B24 Fracton of 2 HPt operabon where ND~can be lost _ _ _
Time NC can be s5rted following recovery of one HPl to actveve two HPl. hrs
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Event trees corresponding to the cases summarized on Page 1 are as follows ILLUSTRATION OF B&W BORON DILUTION CALCULATION METIIODOLOGY Case Pages Item 1
FTI estimate of 1194 ppm deborate slug,85 ppm to move from criticality to 18, prompt criticality, and 300 ppm from prompt critical to core damage 19,20 2 Case I with FTI's estimate of mode: conservatisms (1194 ppm is increased to 21,22 1573 ppm) 3 Case 2 with postulated uncertainty of 500 ppm subtracted from FTI predicted 23,24 deborate slug boron concentration 4
Case 3 variation of reactivity insertion to cause core damage given prompt criticality:
50 ppm 25 -
100 ppm 34 200 ppm 300 ppm (FTI estimate for core damage) 400 ppm
o .
FTl 9/11/98 REPORT TREE CASE Criticality Event Tree l Input Data 9/23/98
- 5 >-
B E E.
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.:- 5 SE a: 3 z Item ppm soren e e a e i e FTl predictson 1194 l l l l 81E-06 ,$R"C acceptance margin to account for model uncertainty 0 l
8
- 5 0 l ; FTl adjustment for mixing wth entre h-s and tour plenum '
O i e s 0.73 8 0 90 Adjustment for ...
O l l Two! 1 OE-04 l 7.3E-05 idgusLTw4 for .. ^
0 l 0995 i e Adl ustment for .. 0
- O 22
' l l " Actual" boron slug wthout renon adjustment getal of abovej t194 l . e 2.3E-05 FTl estwnste of dema boron from cntical to prompt-cntical (- value) 7 45 l l ; ;
FTl esumate of dema boron from pmmpt-cnhcal to core damage (- value) 300
, e e a s O
S l l l l ! 2.9E-08 Item Vaeue l l l l 0 005 - 0 05 sq ft LOCA frequency (LOCAs where NC can be lost) 5.50E-04 e i a s 0.10 2 HP pump frequency 0.995 l l l ! 2 9E-07 1 HPI pump frecuency 0 004 l ' 1 OE-04 Frachon of 2 HPl operation where NC can be lost 0.78 s 8 0.70 0 90 Time NC can be started following recovery of one HPl to acNeve two HPt, hrs 8 l l 2.6E-07 "
l 119 e
1 0.30 l One 4 2E47 1.3E-07 l 0.004 5.5E-04: 0 0.81 None 1.0E-07 0.001 4.5E-04 '
Total 8.3E-06 5 4E-04
% calculation error 0 00
_ , - _ _ _ _ _ . . . _ _ _ _ _ _ . _ _ _ _ _ _ - - ~ - - - - - - - - ~- ^
- ~
FTl 9/11/98 REPORT TREE CASE sasso Prompt Criticathy Event Tree Core Damage Event Tree sf $ h a 8 E f k snb "i ! i ~te:ssia d, a 5 gr sriL ! "S ! <i
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l 0OE+00 0 004 . 0004 55E44; 0 5 5EN! G 0 88 1 00 None 6 7E48 Nnre C 0F+00 0 001 0 001 48E44 55E44 Totai 3.7E46 5 5E44 Total 0.0E+00 55E44
% calculaton emw 0 00 % eson error 0 00 i
-- 4 a. - . . . 4_-, 5.J- ,,,.-a.4: L 2---w 54334 - - ., m 4 ,*, ..-.--4A s & = h. Ai.uA_m u .ma e
CALC 9/23/98 Fracten of bfe Frequency appbcable HPl NC restart of not LOCA to Fracten HPl NC loot HPt restoration causes End result reaching result end; frequency a
frequency HPl flow frequency NClost frequencyrestored }i
[ frequency end result frequency end result CALCULATION FOR CRITICALTTY TREE 5,50E-04 019019 0 OM105 0 995 0.000104 0.78 812E45 0.0998 8.1 E-06 0.80981 0 9002 7.3081E-05 0 22 2.29E 05 2.2898E-05 0 004 4.18E-07 0699678 2.9276E-07 00998 2.92E-08 0.9002 2.6354E 07, 0300322 1.2566E47 1.26E-07 0.001 1.05E-07 0 0004454 Total 8 26E-06 0 00054164 Error 1.97E-14 1
Xenon time bmit Tirne avail Boron defcd to for to restore prevent crdicaldy HPl train crdicanty = 306 = 20.2452 = 12.2452 i
ppm boron = 1194i
~ CALCULATION FOR PROMPT CRITICALITY TREE 5 50E-04 0 121627 6 69E451 0 995T~6 66E-051 0.78 519E-05 1 0 070568 3.66E-06 0.878df3 ! 0.929432 4 8253E-05 i 0.22 1.46E 05 1.4643E 05 0 004 2 68E 07 0.779509 2.0858E-07 0 070568 1.47E-08 0.929432 1.9386E 07 0220491 5 8999E-08 5.9E 08 0.001 6 69E-08 0 00048311 Total 3.74E-06 0 0005462 Error 0 Xenon !
time hmit; Time avail l
Boron defied to! ! {for prompt' to restore I prevent prompt -
icnticality i HPi train I
entcaldy =
221f != 28 11142 = 20 11142 I i ! I ppm boron = ; 1279i j j
- _L_ ,
CALCULATION FOR CORE DAMAGE TREE i 5 50E-04i 0 0 0 995I O O 78 0 0.070947 0
^
l j 1 0929053 0 i On 0 0 0 004i 0 0 954624 0 0.070947 0 1
0 929053 0 1 i . O045376 0 0 i ! 0 001i 0 0.00055
' 1 i Total 0 0 00055
( ! I I i i i . Error Ol i~
i ! !
- i i i i
, i fXenon f Tir.w availf ) l Boron defc4 to, f , time hmit,, i to restore ; j
- - prevent cote! l jfor core! l lHPI train
- 1
. , damage = .
79l ! damage = ! 328 5828l 1 320 5828 ipm boron = 1579 , I
~
- e FTl 9/11/98 CASE WITH CONSERVATISMS REMOVED Criticality Event Tree input Data 9/23/98 g .G x o E? g g c o {3
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ppm eoron e a e i e i FTi predicton 1194 l l l l l l 0OE+00 ' ARC acceptance margMto account for model uncertaady 0 8 s l l l FTl adjustment for core axial boron distnbutaan 60 e i e s 8 0 07 FTl adjustment for radial core flow distribution 30 l l l e 0 0E+00s FTl adjustment for anner core mixmg 64
- i l ; FTI adjustment for rnixmg with entare downcomrs and lower p6enum 225 e i 8 0 78 l 0 93 AdpN for ~ 0 l Two! OOE+00 a 0 0E+00 Adjustment for .. 0 l l 0995 i e . Adjustment for .. 0
. . 0 22 '
Actual" boron slug without xenon adlustrnent (total of above) a 1573 l l l 0OE+00 (Tt estimate of dena baron from enhcal to prompte (- value) -85 s
l , ; j FTI eshmate of deta baron from prorrot-craical to core dammee (- value) -300
- e i e s i
0 l l l l 0OE+00 stem Value s
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5.50E-04 e e a
- O 07 2 HPI pump frequency 0995 l l l ! O DE+00 1 HPt pump frequency 0.004 l ' OOE+00 l Fracten of 2 HPt operabon where NC can be lost 0.78 e 8 0.95 0.93 Tune NC can be started following recovery of one HPl to achieve two HPl. hrs 8 l l 0.0E+00 l 0 00 e
1 0.05 l One 0OE+00 0.0E+00 l 0 004 5 5E-04e 0 1.00 None 0 0E+00 0 001 i
% calculaton error 0 00
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- a FTl 9/11/98 CASE. CONSERVATISMS REMOVED, NRC MARGIN ADDED Criticahty Event Tree input Data 9/23/98
% 5 :
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, e e e 019 FTi adrustmera for radial core flow distntx.tson 30 l l 13E-04! fit adiustrnent for inner core meang 64
- ' ; FTl adrustment for meang with entre (s w..i and lower Wmum l , 225 e *
- O 78 0 81 Adjustmers for ..
,8 O l l Two! 16E-04 . 1 OE-04 Adgustment for .. 0 l l 0995 l : Adrustment for . O 0.22 ' ' Actuar boron slug without zenon adeustment (total of above) 1073 l l 3.5E-05 Fil estrnate of detta baron from cntcal ta prompt <:racat (. value) -if5
- b ,a a
, ; i FTl estimate of data boron from prompt <:ntcal to core damage (. value) -300
. e e s 0
l l l l l 5 OE 08 item Value l l l 0 005 - 0 05 sq ft LOCA frequency (LOCAs where NC can be lost) 5 50E-04 e a e 8 0.19 2 HPI pump frequency 0.995 l l l ! 2.7E-07 1 HPi pump frequency 0.004
' 1.6E-04 l Frachon of 2 HPt operation where NC can be losi 0.78 8
3A1 0.81 Time NC can be star +ed followng recovery of one MPI to achieve two HPt. hrs ' 8 l l 2.2E47 l 0.29 e 1 0 59 l One 6.5E-07 3.8E 07 I 0 004 5 5E-048 0 0 71 None 16E-07 0 001 3.9E-04 Totat 2.4E-05 5.3E-04
% calculaton error 0 00
- e FTl 9/11/98 CASE CONSERVATISMS REMOVED, NRC MARGIN ADDED 9 ass 8 Prompt Criticality Event Tree Core Damage Event Tree E E 5 E o b
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4 3E44 5 5C44 Tots 1.1 E-05 5 4E44 Tote 1.6E-07 5 5E44 *
% cucuanyi enor 0 00 % cmcuation error o 00
O t FTl 9/11/98 CASE, CONSERVATISMS REMOVED, NRC MARGIN ADDED,50 ppm FROM PROMPT CRITICAL TO CORE DAMAGE Criticality Event Tree input Data 9/23/98
- E 3 EE g cg g c o
< 5 E . zg z e & 3 0 387o $ I Tu E!( f k 5 Tfi i :
il. 603 $ F.
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,E E# if E E O $ item ppm Boron e i i cctm 1194 l l l l l 2.3E-05 e 7: p isceptance margin to account for model uncettainty N5Cl -5dd l l l l FTl adjustment for core axial boron distnbute 60 e a e e 8 0 19 FTl adjustment for radial core tiow distnbutson 30 l l l e 1 3 E-04, FTl adjustment for inner core moong 64 8 8 l ; FTl adjustment for moong with entre downcomer and lower plenum 225 ,
i 0 78
- I 8 l , i j Detta boron from prompt-crascal to core damage (- value) -50 e a e a 0
l l l l 5 OE-08 trem Vasue
- 8
l 16E C4 l Fraction of 2 HPl operation where NC can be lost 0.78
. ' O 41 0.81 Trne NC can be started following recmery of one HPl to achaeve two HPI, hrs
- 8 l 22E-07 l 0 29 s
1 0.59 l One 6.5E-07 3.8E-07 l 0.004 I 5 SE-04' O 0.71 None 1.6E-07 0 001 3 9E-04 Total 2.4E-05 5.3E-04
% calculation error 0 00 l
- t FTI S/11198 CASE.CONSERVATISMS REMOVED, NRC MARGIN ADDED,50 ppm FROM PROMPT CRITICAL TO CORE DAhM s/23/98 Prompt Crtticainty Event Tree Core Damage Event Tree
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3 18 0 82 None 12E 47 None 9BE48 0 001 0 001 4SE44 45ECt Totas 1.1 E-05 S 4E44 Total 7.3 E-06 5 4E44
% calcula<en error 0 00 % caacuaron s
error 0 00
- t FTl 9/11/98 CASE CONSERVATISMS REMOVED. NRC MARGIN ADDED.100 ppm FROM PROMPT CRITICAL TO CORE DAMAGE Criticality Event Tree input Data 9/23/98
- E C
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FTi preccton item ppm scron 1194 l l l l' l l 2 3E-GS MRC acceptance margin to account for rnodel uncertamty -500 l l l l FTI adjustment for core axial boron distreubon 60 i e s j j 0,19 FTl adjustment for radial core flow distnbute 30 l l l e 1.3E-04, FTl adjustment for anner core moong 64 8
l l ; FT4 agustment for moang vnth entre h .e and lower piemr1 _
225 e a 8 0.78 8 0 81 Adjustment for .. 0 l l Twol 16E-04 1.0E-04 4~djustment for .-. 0 l l 0995 l e Adjustment for .. O e : 0 22 a Actual" boron slug wdnout xenon adystment (total of above) 1073
( l l l l 3 SE-05 fil estrnate of delta boron from cnbcal to prompt-crecal (- value) -85 l
8
, i i Delta boron from prompt-enbcal to core damage (- value) -100 a e a e s : O l l l l l 5.0E-08 ftem Value 8
l l l 0.005 - 0 05 sq ft LOCA frequency (LOCAs where NC can be lost) 5.50E-04 e a 8 8 0 19 2 MPI pump frequency 0 995 l l l 2.7E-07 1 HPt pump frequency 0.004 s
' 1.6E-01 Frachon of 2 HP1 operahon where NC cre be last 0.78 s '
O.41 0.81 Time NC can be startus following r-xowery of one HPI to actueve two HPi, hr 8 l l 2.2E-07 l 0.29 e 1 0 59 l One 6 SE-07 3 8E-07 l 0 004 5 5E-04! 0 0.71 None 1.6E-07 0 001 3 9E-04 Total 2 4E-05 5.3E-04
% calculatson error 0 00
- t FTl 9/11f98 CASE, CONSERVATESMS REMOVED, NRC MARGIN ADDED,100 ppm FROM PROMPT CRITICAL TO CORE DAMAGE s/23/98 Prompt criticality Event Tree Core Damage Event Tree D $ y D E
{" d c c t c &
$ kg3 h 3 e ! b I!8 h I Ils gl$ [ fa a T {t fI- % 5 {ftt1I [Is i s 3 FE" 1 * {i g "< - !
F -!
gE 3 Dw ?! ,! ?!II'c 3 e rga EF E EF Eg F[ iib ?!
i
$ O! SIS i gi ri 3I L 8g Eg ce g
j =a ulg[zm?w [3gg EI 8g b
i
- o h c o.
e d ~g zs. .
s
- s. e-r. t'3illi o..
s..
s = l. m gig j j.
23e45 *
- l l l l : : : : 4 8Ecs
- : : : ai2 : : l l 0 08 l l ' 9 4F 45' l l l ' 5 9E 45'
- ; l 3 7e l 3 88
- 0 78 : O s2
. Two' 1 2F -04 8 3E45 *
- Two* 7 6E 4 .
l l 5 4E45 e 8 09x e a 8 8 O M6 8 e l : 3 22 I a ! 0 22 . !
2 7E45
- 17E45 i ! : : :
l l :
t
. . . 37E48 s- l l : : : ; $ se48 x : : : a s2 l l l 0 08
. . . a 31E47 8 * *
- 2 3E47 l l 12E44 . 7 6E45 !
l l 0 65 0 88 0 77 0 82
. . 2 8E47 8 '
21E47 0 22 0 14
. l i 0 35 , i 0 23 One 4 9E47 17E47 l One 30E47 7 0E48
! 0004 0004 5SE44; o S SE44l
. O J 78 3 86 None 12E47 None 7 6F48 0 001 0 001 4 3E44 4TE44 Tam 1.1 E-05 5 4E44 Tas 4.9 E.06 55E44
% caicutation error 0 00 % calculaten error 0 00 e
- s FTl 9/11/98 CASE. CONSERVATISMS REMOVED. NRC MARGIN ADDED,203 ppm FROM PROMPT CRITICAL TO CORE DAMAGE Criticality Event Tree input Data 9/23/98 x E >
o T E o e o b U 8* E , z zc
- 3 o 3 pbeo _
d -8 Jp .R .w 8D h e E
3
$s F. 9w wE S E .E 65$
==o -E F -
M *Y 2
?8 0 $5 2 g5* N h
!! < 3 Y
[h ,j%~8$;! I" 5h h $N Bg *Ik b h item ppm Bmon 8 i s s 8
' ' l F Tt predctson_ _ 1194 l l l . 2 3E-05 NRC acceptance margin to account for model uncertauty -500 l l l l l FTLadjustmst tw cwe mi bwe estnten 60
. i e e a 0 19 FTl ad ustment for radial core flow estnbuton
- 30 l l l l 1.3E-04 fil adjustment for anner core moong 64 s 8 l ; FTl adjustment for mnang_ WW5 entire &, ,w,- and lower pienum 225
. e e 0 78 e 0 81 Adjustment for . 0 l l Twol 1 6E-04 l 1.OE44 Adjustment for .. 0 l l 0995 l. Adjustment tw _ 0 e a 0 22 a a
- Actuar boron slug witnout renon ad tustment (total of stxwe) 1073
% l l l l 3.5E-05 fil estrnate of detta boron from critcal to prompt <:racal (- value) -85 e *
} , ; i DeMa boron from prompt-cntcal to core damage (- value) -200
, e a e e 0
l l l l l S OE-08 Item Value a s l l 0.005 - 0 05 sq.ft LOCA frequency (LOCAs where NC can be lost) 5.50E-04 l e a 0 19 2 HPI pump frequency 0.995 l l l 2.7E-07 1 HPt pump frequmcy 0 004 l l 16E-04 l .Fracton of 2 HPI operaten where NC can be lost 0.78 g 0.41 0 81 Time NC can be started following recovery of one HPI to actueve two HPI, hrs 8 l 2.2E47 l 0.29 s
1 0.59 l One 6.5E-07 3.8E-07 l 0 004 5.5E-04! 0 0 71 None 16E-07 0 001 3 9E-04 Total 2.4E-05 5 3E44
% calculaton error 0 00
~ _ _ _ _ _ _
O. (
FTl 9/11198 CASE, COMERVATISMS RE, MOVED, NRC MARGIN ADLED,200 pom FROM PROMPT CRITICAL TO CORE DAMAGE s/23/98 Prorapt Criticainy Event T.ve Core Damage Event Tree I k k 5 5 3r f
" g=! E h 5 E
'l c h 8 Isa a j
{j gga g ! g a j { ggi i g f[ !! ! $l$!h, ! he fpnu
$ ! k _ e! ! !{!!!
a%
rga rs 3t : Yls; m ei Eg +s .
l~jI
- f. 8[
i b,3 E L*g, 305, 89 J, a=,*i!# Eu, dc p =c w[gEgew,
_ a EE 25, 8
a 9, mE n, l u , &, g g ,g l l l _
2 3E45 l 'l l l l '
19E46 l l l l ! 312 s 3 07 a
g a e g ap45e j .e ' 2 7F45' '
l l l l 3 78 e 1 88 e 0 78 :
30 93 l
8 Tm' 12F 44 '
82'45 l Two' 35E45 8 l 2 6E-05 0 .se . . . . Os* . .
l l n2 l l l l 0 22 l l
' 7E45 e e l l
_ 7 7E46 g g e 8 0 8 4 9 e
, , . e e s e e a e
\ 4 8 8 g g e 9 8 I 3
- e * ' 3 7E48
- l l l l 8
9 6E49
. , e a e e e s l l l l 0 12 e l l ! 00'
, e a e 31F47 a e e iaE47
, l 12e4a 3 5e o- -
l l 0 65 0 88 l 0 95 0 93 [
e e 2SE47 l 13E47
. 0 22 o os
' l 1 0 35 e 1 0 05 e One 49E47 17E47 l One 14F47 6 4E49 0 004
- O004 5 5E44' O 5SE44! 0 0 78 0 94 None 12E 47 None 35F48 0 001 0 001 4 3E44 51E44 Totae 1.1 E45 54E44 Totae 2.0 E-06 5 *?-04
% caeutate ...or 0 oo % cawaton enor 0 00
r; .- ,
O "'(. .
i FTl 9/11/98 CASE, CONSERVATISMS REMOVED NRC MARGIN ADDED 300 ppm FROM PROMPT CRITICAL TO CORE DAMAGE '
Criticality Event Tree inrat Data 9/23/98
% 5 3 ET R - , c
<t o
O c$
eo-3o E
g I
$ jR Tu 2.{g &
c
=
3 g
il; .
3 ota a g Ej zxB g g .
1 0 Ei
- 3. u g 3c 9 I
" e. st. 233 =
3 e c -
$ 5"6 $3 O $c . *rl 3 h N Item ppm Boron a e e e FTi predcton 1194 l l l l l l 2 3E-05 SMC acceptance marge to account for model uncertamry -506
-t l l l l FTl adjustment for core axial baron destnbuhon 60 e a a e : 0 19 FT1 adjustment for radial core flow destnbution 30 l l 1.3E-04', fTi adjustment for inner core mnang 64 l l l ; FTl adjustment for mbang wit 5 entre de.ww,-i and lower pWh 225 e a 8 0.78 ' 0 81 Adjustment for .. 0 l Two! 16E-04 l 1 GE-04 Adjustment for _. 0 l l 0995 l , Adguetmert for _ 0 e : 0.22 e e
'Actuar* baron slug without menon adjustment (total of above) 1073 b l l 3 SE-05 FTl esbmete of dena boron from critical to prompt-cnbcal (- value) -85 ;
'N
- l , ; ; Delta baron from prompt-crtcal to core damage (- value) -300
, , i e i O
l l l l l
~
5OE48 Item Value l l 0.005 - 0 05 sqft LOCA frequency (LOCAs where NC can be lost) 5.50E-04 e 8 ' O.19 2 i:Pt pump frequency i
0.995 !
l l l l 2.7E-0] 1 HPI pump fregtvey 0.004 ;
e 8 16E-04 l Fraction of 2 HPl operabon where NC can be lost 0.78 '
O.41 0.81 Time NC can be started following recovery of one HPl to achieve two HPI, hrs 8 !
l l 2.2E47 '
l 0.29 I i 1 0.59 l One 6 SE-07 3 8E-07 l 0004 5 SE-04' 0
}
0.71 None 1.6E 07 '
0 001 3.9E-04 Total 2.4E-05 5 3E-04
% calcataim error 0 00 l i
c v cm . (l FTl 9/11/98 CASE, CONSERVATISMS REMO'VED, NRC MARGW ADDED,300 ppm FROM PROMPT CRITICAL TO CORE DAMAGE 9erv98 Prompt Criticality Event Tree Core Damage Event Tree kg #
D- E 3 E $ D E 3h I [ i!$5tag !!I EE b !$3!s r ! EE
= r$
5 ! $
= i
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msu b E 5'
se h
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< u n{. e i.g hg cE{ s5etf8 o ~, ) c, 8 28, .i .h.fr $ $ a =. . aE j .3E E m ,
E 5
zs, 8g s
ih ge B
.j a, m _ a',
c 8 p .g l , l l 2 3E45 l. l l l l 8
15E 47
, e e i a e a . a .
l l e ! 0 12 l ! ! ! 0 07
' 9 4E 4*>' '
' 2 2E46' l l l l l 3 78 l 0 88 ! l 0 78 e 0 93 Teo' 12E 44 l 8 3E45 l Two' 2 8E4F '
20E46 l
l
, o ,93 . . . .' 0 995 . .
l l a 22 : : l 0 22 l l
. . ' 2 7E45 . . :
- l 61E47 l l l l l l l l l l t
t 3 7E48 s s e l l l l l 7 6E-10
} .
,y l l 212 ! 0 07
'. . . 3 ,E o7 . . .
. 11e48 l 12E44 --
l 2 SEM -!
l l 0 65 0 88 l l 0 95 0 93
. 2 8E47 a e i
I 10E46 0 22 0 01 l
8 1 0 35 . 1 0 05 One 4 9E47 17E47 . One 11E4e 51E-10 0 004 0004 5 SE4( . 0 55E44! 0 0 78 0 99 m 12E47 Nore 28E49 0 001 0 001 4 3E44 : .s 5
Tcts 1.1E45 5 4E44 Tots 1.6E47 5" s s caicuwon ency 0 00 % cak:utaten enor 0 oo
_ _ - - - - . _ _ . _ - - - - - - - _ _ _ _ _ - - - - - - - _ - . _ - _ _ - _ . . , - - - - _ _ _ _ _ _ _ _ - - - . _ _ - _ - -- _- -_ m
._ . ._ ,. ._ _ _ _ ~ . . . . - _ _ - - - - _ _ - - - _ _ _ - -
o .. (
FTl 9/11/98 CASE, CONSERVATISMS REMOVED, NRC MARGIN ADDED,400 ppm FROM PROMPT CRITICAL TO CORE DAMAGE
~
Criticality Event Tree input Data 9/23/98 B Eg & g c o F -
< 8 e zc C U
O gda s o _k I h3c W8f. .. 5 3 _
i
$.Nb9w I
E
$ h.5 b)h a=o -k Ia c *$8 a 3g 8 0 b se erg S N s; t a -h 38 $5C EE E s. ~ SR 80 5 8 C8 o 3 {:: zo az mI *2& O z Rem ppm Boron i e e a e a FTl predicton 1194 l l l l l 2 3E-05 sliC acceptance margin to account for moded uncertauty -500 l l l l FTl adrustment for core axial boron distnbulen 80 e e i 8 8 019 FTl adjustment for radial core flow destnbubon
~
30 l l l l 13E-04l - #Tl adjustment for inner core mbong 64
~
l FTI adjustment for monng with entire downcomer and lower pienum 225 i a e 0.78 8 0 81 Adgustment for - 0 l l Two! 16E-04 1.0E44 Adgustment for .. 0 l l 0995 l e Adjustment for .. 0 h *
- 0.22 e *
"Actuer boren slug wthout menon adjustmerit (total of above) 1073
, ~l l l 3.5E-05 iTi estimate of delta boren from cribcal to prompt-crtbeat (. weiue) -86 J
l l , j j Delta baron from prompt-crthcal to core damage ( value) -400 a
+ i e e 0 ,
l l l l l SSE-08 Item Value F 8 '
l l 0.005 - 0.05 sq ft LOCA 'requency (LOCAs where NC can be lost) 5.50E-04 a e 8 8 0.19 2 HPi pump frequency 0.995 l l l 2 7E-07 1 HPl pump frequency 0.004
' Frachon of 2 HPl opershon where NC can be lost l 16E-04 l 0.78 e ' O.41 0.81 Time NC can be started following recovery of one HPl to achieve two HPI, t rs
. 8 l -
2.2E-07
. 0 29 i
1 0.59 i One 6 SE-07 3 8E-07 l 0 0G4 5 5E-04! l 0
- t. 71 None 16E-07 0 001 ;
3.9E-04 Total 2.4E-05 5.3E-04 -
% calculatoon error 0 00 i
P r, -