ML19332B249

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Supplemental Small Break Analysis, Suppl to 790821 Analysis in Support of Early Reactor Coolant Pump Trip. Related Correspondence
ML19332B249
Person / Time
Site: Three Mile Island Constellation icon.png
Issue date: 09/12/1979
From:
BABCOCK & WILCOX CO.
To:
Shared Package
ML19332B231 List:
References
ISSUANCES-SP, NUDOCS 8009260359
Download: ML19332B249 (25)


Text

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. s Docket No. 50-289 O- .

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" Supplemental Small Break Analysis,"

Supplement to the August 21, 1979 Analysis in Support of an Early RC Pump Trip (September 12, 1979) 9909

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9 SUPPLEMEttTAL SMALL BREAK AtlALYSIS 9

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' Babcock & Wilcox has evaluated the effect of a delayed reactor coolant (RC) pump trip during the course of a small loss-of-coolant accident. The results of this evaluation are contained in Section II of the report entitled " Analysis Sum =ary in Support of an Early RC Pump Trip."1 (Letter R.B. Davis to B&W 177 Cwner's Group, " Responses to IE Bulletin 59-05C Action Items," dated August 21, 1979.)

The above letter demonstrated tihe following:

a. A delayed RC pump trip at the time that the reactor coolant system is at high void fractions will result in unaceeptable consequences when Appendix K evaluation techniques are used. Therefore, the RC pu=ps =ust be tripped be-fore the RC system evolves to high void fractions.

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b. A prompt reactor coolant pump trip upon receipt of the low pressure ESTAS signal provides acceptable LOCA consequences.

The following sections in this report are provided to supplement the information contained in reference 1. Specifically discussed in this report are:

a. The analyses to determine the time available for the operator to trip the reactor coolant pu=ps such that, under Appendix K assu=ptions, the criteria of 10 CFR 50.46 would not be violated.
b. The RC pump trip times for a spectrum of breaks for which the peak cladding temperature, evaluated with Appendix K assumptions, will exceed 10 CFR 50.46 limits.

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c. A realistic analysis of a typical worst case to demonstrate that the conse-quences of a RC pump trip at any time will not exceed the 10 CFR 50.46 limits.
2. Time Available for RC Pump Trip Under '

l Appendix K Assu=otions A spectrum of breaks was analyzed to determine the time available for RC pump trip under Appendix K assumptions. The breaks analy ed ranged from 0.025 to 0.3 ft2 As was demonstrated in reference 1, the system evolves to high void frac-tions early in time for the larger sized breaks. Values in excess of 90* void.

fraction were predicted as early as 300 seconds for the 0.2 ft 2 break. For the smaller breaks it t'akes much longer (hours) before the system evolves to high void fraction. Therefore, the time available to trip the RC pump is minimum for the larger breaks. Houever, as will be shown later, for the larger s=all breaks 2

(>0.3 ft ), a very rapid depressurization is cahieved upon the trip of RC pumps at high system void fraction. This results in early CFr and LPI actuation, and 1

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o cubs:qu:nt r:pid c ro refill. Thus, caly a small cara uncovsry ti=3 will ensue. Tha following paragraphs will discuss the available ti=e to trip the RC pumps for different break sizes. In performing this evaluation, only one 1 JI system was assumed available rather than the two RPI syste=s assumed in the ref-erence 1 analyses.

a. 0.3 ft2 Break - Figures 1 and 2 show the system void fraction and available liquid volume in the vessel versus time for RC pu=p trips at 95, 83, and 63%

void fractions for a 0.3 ft2 break at the RC pump discharge. For the pu=p trip at 95% void the system void fraction slowly decreases and then it drops faster following the CFT and LPI actuations. Following the RCP trip, the pressure drops rapidly and CFT is actuated at 250 seconds. The core begins to refill at this time and, with LPI actuation at 300 secocds, the core is flooded faster and is filled to a liquid level of 9 feet (equivalent to approximately 12 feet swelled mixture) at 370 seconds. The total core un-covery time is 170 seconds. Assuming an adiabatic heatup of 6.5'F/sec, as explained in reference 1, the consequences of a RC pump trip at 95% void will not exceed the 220Dilimit.

I l As seen in Figure 2 for the RC pump trip at 63% or lower void fractions, the available liquid in the core will keep the core covered above the 11 feet elevation for about 350 seconds, and above 12 feet elevation ac all other times. Therefore, tripping the RC pumps at void fractions s 63% will not result in une.cceptable consequences as the core will never uncover.

A RC pump trip at 83% void fraction demonstrates an uncoverf time of 350 seconds. However, previous detailed small break analysis (reference 2} have shown that a 10 ft of mixture height in the core vill provide sufficient core cooling to assure that the criteria of 10 CFR 50.46 is satisfied. For this case, the 10 feet of mixture height is provided by approximately 1600 ft3 liquid in the vessel. At this level in Figure 2, the core uncovery time is 220 seconds. Again, even with the assumption of adiabatic heatup over this period, the consequences are acceptable. It should be pointed 1, out that if credit is taken for steam cooling of the upper portion of the

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l fuel pin, the resulting PCT will be signi'* antly lower then that obtained l from the adiabatic heatup assumption. -

From Figure 2, it can be concluded that a RC pump trip at 120 seconds will result in little core uncovery. For RC pu=ps trip at system void fracticns i

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Y V high';r th:n 95% (ct 200 s:coada), th3 system vill b3 cc a lower prcssura and with tha CFT and LPI actuation there vill be little or no core uncoverf.

Although core uncoveries are predicted for trips at 8'3% and 95% system void fractions, as shown earlier, the consequences are acceptable. Thus, 2 de-layed RC pump trip at anytime for this break will provide acceptable 'conse-

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quences ev'en if Appendix K evaluation techniques are used.

For breaks larger than 0.3 ft2, a delayed RC pump trip at any time during the transient is also acceptable as the faster depressurization for these breaks vill result in smaller delays between the pu=p trip and CFT and LPI actuation. Therefore, core uncover / times vill be s= aller than that shown for the 0.3 ft2 break.

b. 0.2 ft2 Break - Figures 3 through 5 show the system void fraction and avail-able liquid volume in the vessel versus time for RC pump trips at 98, 73, 60 and 45% void fraction for a 0.2 ft2 break at the RC pump discharge. As seen in Figure 5, the RC pump trip at 45 and 60% void fraction does not re-sult in core uncovery. The available liquid volu=e is sufficient to keep the core covered above the 10 ft elevation at all ti=es. For the trip at 98% void fraction in Figure 4, the core is refilled very rapidly with the actuation of CFT and LPI at appro:cimately 420 and 450 seconds, respectively.

The core is refilled to an elevation of 9 feet at 460 seconds. The core un-covery time is in the order of 60 seconds, and the consequences are not sig-nificant.

The RC pu=p trip at 73% void fraction as seen in Figure 4, re-sults in a 450 seconds core uncovery time. Although a 450 seconds uncovery time seems to result in unacceptable consequences, if credit is taken for steam cooling and using the same rationale as that given for the RC pe=p trip at 83% system void in section 1.a, it is believed that the consequences vill not be significant.

Should the RC pumps be tripped at system voids less than 70%, there vill be little or no core uncoverf. However, for void fractions between 73" and 98%, there is a potential for a core uncover /

depth and time which might be unacceptable. Thus, a time region can be de-fined in which a RC pump trip, evaluated under Appendix K assu=ptions, could result in peak cladding temperatures exceeding the 10 CFR 50.46 cri-teria.

This vindow is narrow and extends from 180 seconds (73 void) to 400 seconds (98% void) after ESFAS. A RC pu=p trip at any other time vill not result in unacceptable consequences.

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c. 0.1 ft2 Bectk - Figurca 6,and 7 shows system void frcctions and available liquid 2

volume for trips at 90, 60, and 40% system void fractions for a 0.1 ft break at the RC. pump. discharge.

The same discussions as those presented in sections 2.a and 2.b can be applied here.

However, due to slower deprr.s-surization of the system for this break, complete core ' cooling is not pre-vided until the actuation of LPI's. As seen in Figure 7, the time co'crip the RC pumps without any core uncovery is approximately 250 seconds. In Figure 6, with the RC pumps operating the LPI's are actuated at approximately 2350 seconds.

Tripping the RC pumps at any time before 2350 seconds will actuate the LPIs earlier in time. Therefore, unacceptable consequences are predicted for a delayed RC pump trip in a time range of 250 seconds to 2350 seconds.

For any other time, all the consequences are acceptable.

d. 0.075, 0.05 and 0.025 ft2 Breaks - Figures 8 and 9 show a ecmparison of system void fractions for pumps running and pu=ps tripped 3 conditions. As seen in Figure 8, with the RC pumps tripped coincident with the reactor crip, in the short term, the evolved system void fraction is greater than that with the RC pumps operative.

The two curves cross at about 300 seconds.

Before this time, a RC pump trip uill not result in unacceptable consequences since the system is at a lower void fraction than RC pumps trip case. There-fore, the time available for RC pumps trip with acceptable results is esti-mated at 300 seconds.

As the system depressurizes and LPI's are actuated, the core will be flooded, and a RC pump trip after this time will have ac-ceptable consequences.

From the analyses performed, the LPI actuation ti=e is estimated at approxi=ately 3000 seconds.

Therefore, the region between 300 and 3000 seconds defines the time region in which a RC pump trip could result in unacceptable consequences.

  • For a 0.05 ft2 break, the same argument can be made using Figure 9. As seen from this figure, the time available to trip the RC pumps is approxi=stely 450 seconds.

The LPI actuation time for this break size is esti=ated at approximately 4350, seconds.

Therefore, the unacceptable times for RC pump trip is defined between 450 and 4350 seconds. '

As discussed in reference 1, the system evolves to high void fractions very slowly for 0.025 ft2 or smaller breaks.

The system depressurization is ver/

slow and it takes on the order of hours before the LPI's are actuated. A RC pu=p trip at 2400 seconds for the 0.025 ft 2 break results in a system

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void fr:cti:e b: low 50% and th3 caro remains compiccoly esvared. A study l l

if the 0.025 ft2 break with 2.HPI's available shows.with the RC pumps op- ,

erative the system void fraction never exceeds 61%. The CFI is actuated at approximately 4800 seconds and the system void starts to decrease and available liquid volume in the RV starts to increase. Thus, the core will remain completely covered for any RC pump trip time and, thus, will result in acceptable consequences. With one HPI available, a slower depressuriza-tion is expected but the system evolution to high void fraction will still be very slow. Thus, the conclusion that a RC pu=p trip at any ti=e yielcs acceptable consequences for the 0.025 ft2 break holds whether one or two HPI's are assumed available.

The LPI actuation time for the 0.025 ft2 break can be extrapolated using the available data of the other breaks. Figure 10 shows the extrapolated LPI actuation time at approximately 8000 seconds. Thus, a conservative unacceptable time region for pump trip can be defined between 2500 and 8000 seconds for the 0.025 ft2 break under Appendix K assumptions.

3. Critical Time Mindow for RC Pumos Trio As discussed in section 2, there is a time region for each break size in which the consequences of the RC pump trip could exceed the 10 CFR 50.46 LOCA limit.

These critical time windows were defined in section 2. Figure 11 shows a plot of the break size versus trip time RC pump which results in unacceptable conse-quences.

The region indicated by dashed lines represent a boundary in which unacceptable consequences may occur if the RC pumps are tripped. However, this region is defined using Appendix K assumptions. It should be recognizer'. that this region, even under Appendix K assumptions, is s= aller than what is shown in Figure 11 as the 0.2 and 0.025 ft2 breaks may not even have an unacceptable region. The time available to trip the RC pu=ps can be obtained from the lower bound of this region and is on the order of two to three minutes after ESFAS. i

4. " Realistic" Evaluation of Impact of Delayed RC '

Pump Trip for a Small LOCA l

a. Introduction As discussed in the previous sections, there ex.sts a combination of break sizes and RC pump trip times which will result in peak cladding temperatures in excess of 2000F if the conservative requirements of Appendix K are utilized in the analysis. The analysis discussed in this section was perfor=ed utill:1.;

" realistic" assumptions and demonstrates that a RC pump trip at any ti=e will not result in peak cladding te=peratures in excess of the 10 CFR 50.46 criteria.

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1 There are three overriding conservatisms in an Appendix K small break evalua- I tion which maximiz n cladding temperatures. These are:

(1) Decay heat must be based on 1.2 times the 1971 ANS decay heat curve for in-finite operation. ' ~

(2) Only one HPI pump and one LPI pump are assumed operable (single failure cri-terion).

(3) The axial peaking distribution is skewed towards the core outlet. The local heating rate for this power shape is assumed to be at the LOCA limit value.

In performing a realistic evaluation of the effect of a delayed RC pump trip following a small LOCK, the conservative assumptions described above were modi-fied. The evaluation described in this section utilized a decay heat based on 1.0 times the 1971 ANS standard and also assumed that both HPI and LPI systems were available. The axial peaking distribution was chosen to be representative of normal steady-state power operation.

Figures 12 and 13 show the axial peaking distributions utilized in this evalua-tion.

These axial distributions were obtained from a review of available core follow data and the results of manuvering analyses which have been performed for the operating plants. A radial peaking factor of 1.651, uhich is' the maxi-mum calculated radial (without uncertainty) pin peak during nor=al operation, was utilized with these axial shapes. As such, the ecmbination of radial and

' l worst axial peaking are expected to provide the maximum expected kw/ft values for the top half of the core for at least 90% of the core life. Since the worst case effect of a delayed RC pump trip is to result in total core uncovery with a subsequent bottom reflooding, maximum pin peaking towards the upper half of the core will produce the highest peak cladding temperatures. Thus, this evaluation is expected to bound all axial peaks encountered during steady-state power operation for at least 90% of core life. ~

The actual case eva}uated in this section is a 0.05 ft2 break in the pump dis-charge piping with the RC pump trip at the time the RC system average void fraction reaches 90%. As discussed in reference 1, RC pump trips at 90% system void fraction are expected to result in approximately the highest peak cladding temperatures.

T'.e CRAFT 2 results for this case and the evaluation techniques utilized are discussed in section II.B.5 of reference 1. A realistic peak

0 O cicdding temparatura evalu2tien of this ecso, which is discussed bslow, is ex-pected to yield roughly the highest peak cladding te=perature for any break size and RC pump trin time. As shown in reference 1, mav % core uncoverf ci=es of approximately 600 seconds occur over the break size range of 0.05 ft2 through 0.1 ft2 using 1.2 thes the ANS curve. Break sizes smaller than 0.05 ft2 and larger than 0.1 ft2 will yield smaller core uncovery times as de=onstrated in reference 1 and the preceeding. sections. Use of 1.0 times the ANS decay heat curve would result in a similar reduction in core uncovery time, approx 1=ately 200 seconds, for breaks in the 0.05 through 0.1 ft2 range. Thus, the core re-fill rate, uncovery time, and peak cladding temperatures for the 0.05 ft2 case is typical of the worst case values for the break, spectrum.

c. Results of Analysis Figure 4 shows the liquid volume in the reactor vessel for the 0.05 ft2 break with a RC pump trip at the time the system average void fraction reaches COL The core initially uncovers and recovers approximately 375 seconds later. Using the previously discussed realistic assu=ptions the peak cladding te=perature for this case is below1900F. Therefore, the criteria of 10 CFR 50.46 is cet.

The te=perature response given above was developed in a conservative =anner by comparing adiabatic heat up rates to maxi =um possible steady-state cladding temperatures. First, a temperature plot versus time is =ade up for each loca-tion on the hottest fuel assembly assuming that the assembly heats up adiabati-cally.

Second, a series of FOAM" runs are =ade to produce the max 1=um steady-state pin te=peratures at each location as a function of core liquid volu=e.

FOAM calculates the mixture level in the core and the steaming rate from the portion of the core which is covered. Both the mixture height and stea=ing rate calculations are based on aver:ge core power. Fluid temperatures in the uncovered portion of the fuel rod are obtained by using the calculated average core steaming rate and by assuming all. energy generated ir. the uncovered portien of the hot rod is transferred to the fluid. The surface heat transfer coeffi-cient is calculated, based on the Dittus-Boelter correlations , from the fluid temperature and steaming rate and the steady-state clad temperature is obtaine3.

The FOAM data are then combined with the core liquid inventory history (derived from Figure 14) to produce a =aximum possible cladding te=perature as a function of time. This graph might be ter=ed maximum steady-state cladding temperature as a function of ti=e and decreases in ,value with ti=c because the core liquid I

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inventary la increccing. By croca plotting tho adiabstic heat up curva with the maximum steady-state curve a conservative peak cl tdding temperature predic-tion is obtained.

~ 5. Conclusions From this analysis, and the results in reference 1, the following conclusions have been drawn:

a. Using Appendix K evaluation techniques, there exists a combination of break size and RC pu=p trip times which result in a violation of 10 CFR 50.46 limits. '
b. Prompt tripping of the RC pumps upon receipt of a low pressure ESFAS signal vill result in cladding temperatures which meet the criteria of 10 CFR 50.4y.

T*ce minimum time available for the operator to perform this function is 2 to 3 minutes.

c.

Umder raalistic assunptions, a delayed RC pump trip following a small break vill result in cladding temperatures in compliance with 10 CFR 50.46.

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, REFERENCES I

" Analysis' Summary in Support of an Early RC Pump Trip,"Section II of leti:e'r R.B. Davis to B&W 177 Owner's Group, Responses to IE Bulletin 79-05C Action Items, dated August 21, 1979. .

2 Letter J.H. Taylor (B&W) to Robert L. Baer, dated April 25, 1978.

3 Letter J.H. Taylor to S.A. Varga, dated July 18, 1978.

4 B.M. Dunn, C.D. Morgan, and L.R. Cartin, Multinode Analysis of Core Flooding Line Break for B&W's 2568 MRt Internals Vent Valve Plants, BAW-10064, Babcock

& Wilcox, April 1978.

5 R.H. Stoudt and K.C. Heck, THETAl-B - Computer Code for Nuclear Reactor Core Thermal Analysis - B&W Revisions to IN-1445, (Idaho Nuclear, C.J. Hocevar '

i and T.W. Wineinger), BAW-10094, Rev.1, Babcock & Wilcox, April 1975.

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