ML20209E777
| ML20209E777 | |
| Person / Time | |
|---|---|
| Site: | Zion File:ZionSolutions icon.png |
| Issue date: | 06/04/1999 |
| From: | Haksoo K COMMONWEALTH EDISON CO. |
| To: | |
| Shared Package | |
| ML20209E743 | List: |
| References | |
| PSA-Z-99-01, PSA-Z-99-01-R00, PSA-Z-99-1, PSA-Z-99-1-R, NUDOCS 9907150149 | |
| Download: ML20209E777 (20) | |
Text
{{#Wiki_filter:, 1 1 Attachment 4 l 1 l l l l l Calculation Number PSA-Z-99-01 Calculation of Decay Heat Load for l Zion Spent Fuel Pool June 4,1999 9907150149 990708 PDR ADOCK 05000295 F PDR t%JCf \ \5 U)L F-\
NEP-12-02 Revision 8 ATTACHMENT C (Page 1 of 2) l CALCULATION TITLE PAGE Page No. 1 Calculation No: PSA-Z-99-01 DGR STATION ION CODE (C018): N05 DISCIPLINE CODE (C011): N [ ] U1 [ ] U2 [ ] U3 [ X ] Unit 0 SYSTEM CODE (C011): N/A ELEVATION CODE (C016): N/A TITLE: Calculation of Decav Heat Load for Zion Spent Fuel Pool [ X ] Safety Related [ ] Augmented Quality Related [ ] Non-Safety Related REFERENCE NUMBERS: (C011 Panel) l Type Number l Type Number l l l COMPONENT EPN: (c014 Panel) EPN DOCUMENT NUMBERS:(C012 Panet)(Calc. References) 1 Component Type Doc Type Sub Type Document Number See Reference Section (page 9) REMARKS: l l REV. REVISING APPROVED (PRINT & SIGN) DATE ORGANIZATION g , l l 0 PSA/NFM Hak-Soo Kim/ h,gh. k f/l4[qq . l l l Page 51 of 59
NEP-12-02 Revision 8 ATTACHMENT C (Page 2 of 2) Comed CALCULATION REVISION PAGE CALCULATION NO: PSA-Z-99-01 PAGE NO.: 2 REVISION SUMMARIES l REV: 0 REVISION
SUMMARY
- Originalissue Electronic Calculation Data Files:
(Program Name, Version, File name ext / size /date/ hour /; min) l None Prepared by: Annie W. Wonal \ Print / Sign / Initial
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O Date Reviewed by: Jeffrey A. Dunlao/ Nb O Oh. - & /4 b9 PrinUSign/InitijkW G Date Type of Review [x ] Detailed [ ] Alternate [ ] Test [ ] By Repetitive Calc Review Supplemental Rbvi g Requ red i'es NEP-12-05 documentation attached) Supervisor c\ rf, Am \fL / b[/]tt fq )() No (Comed USE ONLY) DO ANY ASSUMfmONS IN mlS CALCULATON REQUIRE LATER VERIFICATON [ ] YES [x ) NO Tracked by: (NTS #, AT #, EWCS #) l REV: REVISION
SUMMARY
~ Electronic Calculation Data Files: (Program Name, Version. File name ext / size /date/ hour /: min) Prepared by: Print / Sign Date Reviewed by: Print / Sign Date Type of Review [] Detailed [ ] Alternate [ ] Test [ ] By Repetitive Calc Review Supplemental Review Required [ ] Yes (NEP-12-05 documentation attached) [ ] No Supervisor / (Comed USE ONLY) DO ANY ASSUMPTIONS IN m!S CALCULATON REQUIRE LATER VERIFICATON [ ] YES [ ] NO Tracked by: (NTS #, AT #, EWCS #) Page 52 of 59
COMMONWEALTH EDISON COMPANY l CALCULATION NUMBER l PSA-Z-99-01, Rev. 0 l Page 3 of 10 l Table of Contents TITLEPAGE..................................................................................................................1 S U M M A RY O F R EVI S I O N S ... ... .. . . .. ... . . . ..... . .... ... .. . . . . . ..... . . ..... . .. .. . .. . . ...... ......................... 2 TA B L E O F C O N T E N T S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
- 1. OBJECTIVE............................................................................................................4
- 2. METHODOLOGY AND ACCEPTANC'I CRITERIA................................................ 4
.................4 2.1, M ETH O D O L O GY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.1.1. Heat Loss to Walls and Floors ofthe Spent Fuel Pool.. .4 2.1.2. Heat Loss to Piping Connecting SFP and SF Heat Exchanger.. .. .4 2.1. 3. Heat Loss Due to Evaporation.. . .5 2.2. ACC EPTAN C E CRITERIA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
- 3. A S S U M P TI O N S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . .. . . . . . .
- 4. DESIGNINPUT...............................................................................
- 5. C A LC U LATlON S A N D R ES U LTS ......................................................................... . 8 5.1. HEAT LOSS TO WALLS AND FLOORS OF THE SPENT FUEL POOL ...... .................8 5.2. HEAT LOSS TO PIPING CONNECTING SFP A.ND SF HEAT EXCHANGER.. ...... . .......8
- 5. 3. H EAT LOS S D UE TO EVAPORATION . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
- 5. 4 . D E C AY H EAT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................9 ...................
- 6. C ON C LU S ION S A N D DI S C U S S IO N S .................................................................... 9
. 7. REFERENCES........................................................................................................9 ATTACHMENT A - ZION SFP HEAT EXCHANGER DRAWINGS.... ... . . . .... .. . . . . . . . . . . . . . A 1 -A-9 l
l l l
C -MMONWEALTH EDISON COMPANY l CALCULATION NUMBER l PSA-Z-99-01, Rev. 0 l Page 4 of 10 l
- 1. OBJECTIVE The purpose of this calculation is to determine the decay heat load for the spent fuel pool (SPF) at Zion station. The results are to be used in the calculation of the maximum zircaloy cladding temperature for spent fuel assemblies in the spent fuel pool at Zion under postulated conditions where all of the cooling water is lost and the fuel is exposed to an air environment. This calculation is performed for this specific application only.
- 2. METHODOLOGY AND ACCEPTANCE CR:TERIA 2.1. Methodology l
The amount of decay heat load for the spent fuel pool at Zion station is estimated using i the following method. Zion station measured the SPF cooling train heat load using both primary side (SFP) and secondary side (component cooling) calorimetrics. Heat losses to the walls and floor of the SFP, piping to and from the SF heat exchanger, and evaporation to the fuel handling building air are determined in this calculation. The decay heat is then the sum of all the above heat loads. The pump heat associated with I the SF pump is conservatively ignored. 2.1.1. Heat Loss to Walls and Floors of the Spent Fuel Pool Since the surface temperature of the spent fuel pool wall and floor is not known, the heat loss is determined using conduction heat transfer through the walls and floor: Q1 = k1
- A1
- AT1/ L1
~ Q1= heat loss, Btu /hr k 1= thermal conductivity of concrete, Blu/hr-ft- F A1 = total surface area of the SFP wall and floor where heat conduction takes place, ft2 AT1 = temperature difference between inner and outer surface, *F L1 = thickness of concrete walls, ft 2.1.2. Heat Loss to Piping Connecting SFP and SF Heat Exchanger The heat loss to piping connecting the SFP and SF heat exchanger is calculated using free convection heat transfer on a long horizontal cylinder and radiation heat transfer. The following equation is obtained from Reference 1 for free convection heat transfer (Equations 9.25 and G.33). h
- D / k2 = C
- Ra" Ra = g
- p
- AT2
- D / (v
- a)
COMMONWEALTH EDISON COMPANY l CALCULATION NUMBER l PSA-Z-99-01, Rev. 0 l Page 5 of 10 l Where:
' h = convective heat transfer coefficient, Btu /hr-ft2 ,.p
- D = diameter of pipe, ft k2 = thermal conductivity, Btu /hr-ft *F
~
g = gravitational acceleration, ft/sec 8 p = volumetric thermal expansion coefficient, K4 AT2 = temperature difference between piping surface and air, K v = kinematic viscosity, ft2/sec a = thermal diffusivity, ft2/sec C, n are constants which depend on the value of Ra Then, convect!ve heat loss is calculated as follows: l Q2,conv = h
- A2
- AT2 Where:
Q2,conv = convective heat loss, Btu /hr
. h = convection heat transfer coefficient calculated above, Btu /hr-ft2 *F l A2 = surface area of pipe, ft' AT2 = temperature difference between piping surface and air, *F For radiation heat loss:
l
- l. Q2, rad = c
- n *D
- L
- o * (T,* - T d) _
- - Where:
Q2, rad = radiation heat loss, Btu /hr L c = emissivity
- D = diameter of pipe, ft L = length of pipe, ft 2
a = Stefan-Boltzmann constant, Btu /hr-ft _.Rd - l .T. = surface temperature, *R T. = air temperature, *R The total heat loss from the piping is:
'Q2 = O2, cony + O2, rad 2.1.3. Heat Loss Due to Evaporation The heat loss due to evaporation is determined based on the makeup flow rate to the SFP. The following equation is used:
I g
I l l COMMONWEALTH EDISON COMPANY !' l CAi.CULATION NUMBER l PSA-Z-99-01, Rev. 0 l Page 6 of 10 l 1 Q3 = g * (h g+ Ab)
' Where:
03 = heat loss due to evaporation, Btu /hr 4 = SFP makeup flow rate, Ibm /hr h, = heat of vaporization, Btu /lbm Ah = difference in enthalpy between makeup and SFP water, Btu /lbm 2.2. Acceptance Criteria l There is no acceptance criterion for this calculation.
- 3. ASSUMPTIONS
- 1. Heat Loss to Walls and Floor of the Spent Fuel Pool Since the inner surface temperature for the spent fuel pool walls is not known, it is difficult to calculate heat loss using free convection heat transfer. The heat loss is calculated using conduction heat transfer assuming the inner surface l
temperature to be the same as the SFP temperature. The spent fuel pool is l partially under ground, exposed to soil temperature while portions are exposed to fuel handling building air. The outer surface temperature is conservatively assumed to be 32 F. The smallest thickness of all the walls is applied to all walls and the floor. ,
- 2. Heat Loss to Piping Connecting SFP and SF Heat Exchanger Based on the drawing provided in Attachment A, the diameter of the piping is assumed to be 10 inches. Per Crane's Technical Paper, a diameter of 10.75 inches is used for 10 inch pipe.
The length of the piping exposed to fuel handling air temperature is assumed to be: 40 feet - from SFP to suction of SF pump #2 60 feet - from SF pump # 2 to inlet of SF heat exchanger 100 feet - from # 2 SF heat exchanger to SFP The total length is conservatively assumed to be 220 feet.
COMMONWEALTH EDISON COMPANY 1 l CALCULATION NUMBER l PSA-Z-90-01, Rev. 0 l Page 7 of 10 l Note that the #2 SF pump and heat exchanger is used, consistent with the calorimetric measurement in Reference 2. AT2 is assumed to be the difference between the # 2 SF heat exchanger inlet I temperature and the fuel handling building air temperature.
- 3. tieat Loss Due to Evaporation The makeup water to the SFP is stored in a tank, where heaters keep the temperature above freezing. The temperature of the makeup water will vary depending on outdoor temperature. It is conservatively assumed to be 32 "F.
- 4. DESIGN INPUT
- 1. From Reference 2:
1 SFP cooling train heat load using SFP side calorimetric is 4.79E6 Btu /hr. SFP side calorimetric accuracy is approximately 10%. ,
# 2 SF heat exchanger inlet temperature is 78.4 *F. l SFP temperature is 79 *F.
{ Fuel handling building air temperature is 69 F. I i
- 2. k1 (for concrete) = 0.92 Btu /hr-ft *F (Reference 3) i
- 3. Dimensions of SFP: '
1 From Reference 4: Length = 63 ft ! Width = 33 ft i Nominal water height = 38 ft 4 in = 38.33 ft 1 From References 5 and 6: Pool wall thickness: l North wall 6 ft
. South wall 7 ft East wall 6 ft West wall 6 ft
- 4. Properties of air at 69 F (293.7 K) and atmospheric pressure, from Reference 1:
k2 = 25.796E-3W/m-K = 0.0149 Btu /hr-ft- F v = 15.33E-6 m2 /s = 1.65E-4 ft2/sec cx = 21.67E-6 m2 /s = 2.33E-4 ft2 /sec t L
)
l COMMONWEALTH EDISON COMPANY ! l CALCULATION NUMBER l PSA-Z-99-01, Rev. 0 l Page 8 of 10 - l l
- 5. c = 0.8 (Reference 1). This value is for stainless steel. As the results in section 5.2 show, the impact of changing this value to 1.0 is small.
- 6. Evaporation flow rate from SFP = 0.23 gpm (Reference 7)
- 7. From steam table, for saturated water at 79*F, 1
h, = 47 Btu /lbm h, = 1049 Btu /lbm p = 62.2 lbm/ft'
- 5. CALCULATIONS AND RESULTS 5.1. Heat Loss to Walls and Floors of the Spent Fuel Pool 2
A1 = 38.33 ft * (2*33 ft + 2*63 ft) + 33 ft
- 63 ft = 9439 ft AT1 = 79 'F - 32 F = 47 *F Q1 = 0.92 Btu /hr-ft *F
- 9439 ft2
- 47 *F / 6 ft
= 6.80E4 Btu /hr 5.2. Heat Loss to Piping Connecting SFP and SF Heat Exchanger l
Using perfect gas law and fuel handling building air temperature, )
= 1/T p
= 1/(5/9*(69-32)+273.16)
= 3.4E-3 K '
^
AT2 = 78.4 F - 69 F = 9.4*F
= 298.9K - 293.7K = 5.2K 2 2 Ra 2
= 32 ft/sec *3.4E-3 K'
- 5.2K * (10.75/12)' ft' /(1.65E-4 ft /sec
- 2.33E-4 ft /sec)
= 1.058E7 -
From Reference 1, C= 0.125, n=0.333 h = 0.0149 Btu /hr-ft- F
- 0.125 * (1.058E7)* ' /(10.75/12) ft
! = 0.46 Btu /hr-ft 2_op A2 =n*D*L
= n * (10.75/12) ft
- 220 ft
= 619 ft2 L_.
m COMMONWEALTH EDISON COMPANY l CALCULATION NUMBER l PSA-Z-99-01, Rev. 0 l Page 9 of 10 l O2,conv = 0.46 Btu /hr-ft2 ,op . 619 ft2 . 9,4.p_
= 2.68E3 Btu /hr 2 4 Q2, rad = 0.8
- n * (10.75/12) ft
- 220 ft
- 0.1714E-8 Btu /hr-ft - R' * (538.07 - 528.67d )
= 4.84E3 Btu /hr Q2 = 2.68E3 Btu /hr + 4.84E3 Btu /hr
= 7.52E3 Btu /hr 5.3. Heat loss Due to Evaporation ]
Q3 = 0.23gpm *0.13368ft3/ gallon *62.2 Ibm /ft3 *(1049 Btu /lbm + 47 Btu /lbm) *60 min /hr
= 1.26E5 Btu /hr 5.4. Decay Heat Decay heat = 4.79E6 Btu /hr *1.1 + 6.80E4 Btu /hr +7.52E3 Btu /hr + 1.26E5 Btu /hr
= 5.47E6 Btu /hr
- 6. CONCLUSIONS AND DISCUSSIONS l I
The decay heat load in the SFP, calculated using calorimetric data and estimated heat losses from the SFP, is 5.5E6 Btu /hr. It should be noted that the pump heat associated with the SF pump has been conservatively ignored in this calculation. According to Reference 7, the pump heat is 100 hp or 2.5E5 Btu /hr, which is more than the total heat losses estimated in this calculation. Therefore, the decay heat load of 5.5E6 Btu /hr is a conservative value for use in the calculation of the maximum zircaloy cladding temperature for spent fuel assemblies in the Zion spent fuel pool.
- 7. REFERENCES
- 1) Fundamentals of Heat Transfer, incropera, Frank and DeWitt, David, John Wiley &
Sons,1981.
- 2) " Determination of Spent Fuel Pool Cooling Train Heat Load Using Calorimetric,"
Zion ER9900257, May 1999.
- 3) Standard Review Plan Section 6.2.1.5, Table 2, " Heat Sink Thermophysical Properties," Revision 2, July 1981.
l 4) " Zion Decommissioning Spent Fuel Pool Heat Load and Time to Saturation i Calculation," Comed calculation 22N-0-110M-0058, Rev. O, April 1998. I l 5) Drawing B-115, Revision N," Fuel Handling Bullding Foundation Plan Elevation 592'-0" East Area Zion Station Units 1 and 2." j l
f COMMONWEALTH EDISON COMPANY l CALCULATION NUMBER l PSA-Z-99-01, Rev. 0 l Page 10 of 10 l
- 6) Drawing B-118, Revision L, " Fuel Handling Building Foundation Section A-A Zion i Station Units 1 and 2."
l
- 7) " Zion Spent Fuel Pool Related Data," letter SES 99-002, June 1,1999.
l l I
r COMMONWEALTH EDISON COMPANY l CALCULATION NUMBER l PSA-Z-99-01, Rev. 0 l Page A-1 of 9 l Attachment A -Zion SF Heat Exchanger Drawings
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