Text

Rev 1 to Room Temp Response During Station Blackout
	ML20082T184
Person / Time
Site:	San Onofre
Issue date:	05/21/1990
From:	Shlafman I, Sistos A, Wharton M; SOUTHERN CALIFORNIA EDISON CO.
To:	;
Shared Package
ML13302B426	List: ML20082T180; ML20082T184;
References
	M-73-116, M-73-116-R01, M-73-116-R1, NUDOCS 9109180142
	Download: ML20082T184 (110)
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. Room.. Temperature Response During suostet : ' Station Blackout CALC No. 14-73-116 aty, 1 J,0,wo'. 6711 MAD st : I .Shla fman oats: S-4-90 twtcrto si: 7 ' _ catt : I'2 7-W Table of Contents Section Page

1. . Purpose 3

2. Results/ Conclusion 4 3.- Assumptions 11

4. Methodology 13

5. Design Input 14 ;

6. References 15 j

7. Nomenclature 16 8.' Calculation 1

8.1 General Equations 17 8.2 Switchgear-Room 302A 21 ;

Distribution Room 310B 33

~

8.3 8.4 Computer Room 232 45 ,

8.5 AFW Pump Room 58 l 8.6 Control Room Cabinet Area 229 70 8.7 Contrtol Room 228 77 l Attachments: 84 1 ' Size of computer room cabinets-

2. Letter from A.P. Grande to A.D. Sistos,

Subject:

Station L

Blackout Scenario. Electrical Heat Loads. SONGS 1,2 & 3 dated [

-4/10/89 i l 3. E-mail from T.Ramos to Ilya Shlafman, subject : ' Station :

. Blackout- Lihgting Load for DAC Rooms Units 2/3. ,

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1. Purpose The purpose of this calculation is to determine the temperature rise in the following areas during Unit 2 blackout:

a) Station Blackout Coping Duration of four hours:

Switchgear Rooms (Room #302A was used)

Cot.puter Room (Room #232)

AW Pump Room Distribution Rooms (Room #310B was used) b) Station Blackout Coping Duration of one hour:

Control Room Cabinet Area (Room #229)

Control Room Area (Room #228)

Reason for revision: The reasons for the revision 1 are as follows:

1) Charging pump room, which was analyzed in rev 0, is completely deleted from Station Blackout analyses in rev.1.

2) The coping duration for Control Room Blackout was reduced from 4 hours4.62963e-5 days 0.00111 hours 6.613757e-6 weeks 1.522e-6 months to 1 hour1.157407e-5 days 2.777778e-4 hours 1.653439e-6 weeks 3.805e-7 months .

3) The additional conservatism (only floor and walls were used in rev.1 as the heat sinks per NUMARC 87-00 recommendation) was added in rev.1 calculation. Almost every room was effected by these changes.

Therefore,in order to avoid numerous deletions and additions in the process of revising calc., the new calculation rev.1 was developed which completely supersedes rev.0.

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(NGthitelhG DEPARTMENT CALCULATION SHEET Room Temperature Response During wester : Station Blackout , GLC No. M-7 3-116 arv. 1 J.o.no. 6711 w e er: I.Shlafman catt: 5-4-90 cnterto sr

A- catt : (-277d 2.0 Results/ Conclusion The results of these analyses are summarized in Table 1 below:

Table 1 Room Ambient Temperature After-Station-Blackout coping durations of 1 and 4 hours4.62963e-5 days 0.00111 hours 6.613757e-6 weeks 1.522e-6 months i_________________________i________________________jl

\ Initial Time after SBO

!____________"22"_U*$*____l_I'EE__"_!l_ LEE __ _

1. Switchgear Rm. 95 96.8 1 l l

95 '

118.5 l2. Distribution Rm.

3. Computer Rm. 72 163.9 l

4. AFW Pump Rm I 104 107.4 I 5. Control Rm. Cab. Area 75 111.1 I

6. Control Room Area 75 114.6 , !

Graphs on pages 5 thru 10 show the air temperature as function of time for the above subject rooms.

The results of this analyses have no effect on Technical Specificatons or Survellance Procedures.

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TEMP. RESPONSE DURING UNIT 2/3 BLACKOUT Switchgear Room El. 50 Unit. 2/3 96.9 96.8 p

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TIME AFTER STATION BLACKOUT (MIN) g Roorn Air Temp Wall Surface Temp

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TEMP. RESPONSE DURING UNIT 2/3 BLACKOUT Distribution Room El. 50 Unit 2/3 120 118 - - --- '

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Room Air Temp Wall Surface Temp

TEMP. RESPONSE DURING UNIT 2/3 BLACKOUT Computer Room Control Area 170 160 "

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u TEMP. RESPONSE DURING UNIT 2/3 BLACKOUT AFW Pump Room Unit 2/3 107.5 -- - - -- - - - - - -~ - - - - - - - - - - - - - - - - - - - - - --

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Room Air Temp -- -

Wall Surface Temp

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TEMP. RESPONSE DURING UNIT 2/3 BLACKOUT Cantre,1 Room Cabinet A en 115

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TEMP. RESPONSE DURING UNIT 2/3 BLACKOUT.

Control Room Unit 2/~3 l 115 g 9

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3. Assumptions:

The following assumptions were made in the calculations:

.1 All plant equipments are in their normal operating conditions prior to station blackout.

.2 Charges for betteries ace not operating. Batteries are supplying power to users.

.3 Heat transfer is due to convection and conduction through the walls and ceiling in one direction.

.4 Air temperature in surrounding rooms is not changed.

.5 For this analysis Distribution Room #310b and Switchgear Room #302A were analyzed as the rooms with highest heat load (ref. Attachment 2).

.6 Due ta the fact that no personnel expected in areas of concern but Control Room and emergency lighting load is relatively insignificant in these areas of concern (see Att.3),

it was assumed that heat loads from personnel and emergency lights are negligible for all rooms except control Room Area.

l

.7 The emergency chillers are aligned to the Unit experiencing blackout and it will take 1 hour1.157407e-5 days 2.777778e-4 hours 1.653439e-6 weeks 3.805e-7 months for the operator action to switch emergency chillers ESP buses froL one Unit to the other i

by using available Kirk-Key interlocks and realign CCW valves from the train A chillers to the train B chillers or visa versa. Therefore the Control Room and Control Room Cabinet l

Area vil) only have a one hour Station Blackout coping duration.

.8 The Station Blackout will, only occur at one U:.it with the other Unit having at least one Diesel Generator available and running.

l .9 The only walls,-ceiling and room air are considered as a l

heat sink in heat transfer analyses.

.10 Rear sides of the Control Room control panels are facing l Control Room Cabinet Area. Therefore for Control Room cabinet Area heat transfer analysis it was conservatively assumed that 50% of the heat losses from control Room panels are dissipated to Cortrol Room Cabinet Area.

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3. Assumptions (cont'd)

.11 For Control Room Area heat transfer analysis it was conservatively assumed that 100% of the heat loss from control panels is dissipated to control Room Area.

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4.0 Methodology The finite difference method was developed for transient -

heat transfer analyses and used to evaluate the ambient room temperature and wall temperature within concrete slab.

Convection, conduction and heat storage in the concrete-slab were considered in the analyses.

As result of drawings review (ref.10) and walkdowns, the walls,. ceiling, floor, cabinets, cable trays, ductwork and hangers support were identified as the heat sinks. However per NUMARC 87-00 (ref.14) recommendations the only walls and ceiling are considered in heat transfer analyses.

The heat transfer equations were entered into LOTUS 1-2-3 program to perform temperature response analyses-for va.i:us-rooms during station blackout.

The output results from I4TUS program were verified by performing sample calculations for each analyzed room - and compara results between manual calculation and computer output.

The LOTUS "Printgraph" program was used to develop graphs-

" Temperature Response During Station Blackout" for rooms listed under Table 1 Section 2.

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Lcho. M-73-116 aty. 1___

s.o.uo. s m wt er1 I . Shl AIA61LeAtt t 5-4-9 0 caterto eri e 2 CAtt! ?2I.*1o 6.0 References

1. Calculation # N-4090-4 rev 1, Thermal Response of Auxiliary Bldg. Control Area Rooms 229 and 310B on Station Blackout.

2. Calculation # N-4090-4 rev 1, Thermal 7 esponse of Auxiliary Bldg. Control Area Room 302A on Station Blackout.

3. Calculation # M-74-06 rev.1, AFW Pump Room Heat Load Calculation.

4. Calculation # M-73-51 r4v.1, El 50'-00" Battery Room Heat Load Calculation.

5. Calculation # M-73-64 rev.0, ESF Battery Room H2 Buildup.

6. Calculation # M-74-1 rev.2, Radwaste Area Normal Cooling System -Heat Load Calculation.

7 Cooling and Heating Load Calculation Manual. ASHRAE GRP158

8. Calculation # M-73-10 rev.0, HVAC Aux. Bldg. General Data.

9'. Calculation # M-73-41 rev.7, control Room Complex-Heat Load Calculaton.

10. Drawings for SONGS Units 2 & 3.

.1 10101-27, Aux. Bldg Control Area Fir. Plan El.3 '00"

.2 10119-26, Aux. Bldg. Finish Schedule

.3 10121-39, Aux. Bldg. Door Schedule

.4 53000-12, Main Control Room Panel Arrangment

.5 35648-3, Control Bldg. Equipment Arrangment

.6 41341-8, HVAC Plan El 50'-00"

.7 41342-10, HVAC Plan Area CA-7 El 30'-00"

.8-41357-10, HVAC Plan Area CA-9 El 30'-00"

.9 41350-9,- HVAC Plan Area CA-8 El 30'-00"

.10 41365-10, MV?C Plan Area CA-10 El 30'-00"

11. Fundamentals of Heat and Mass Transfer. Frank P. Inclopera and ' David De Witt- 2a Edition

12. ASHRAE Handbook-Fundamentals 1985

13. ASHRAE Handbook-Equipment 1988

14. NUMARC 87-00 Guidelines and Technical Bases for NUMARC Initiatives Addressing Station Blackout at Light Water Reactors.

o

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CALCULATION SHEET l Room Temperature Response During i susster : Station Blackout calc wo. M-7 3-110. tiv. 1 i s.o.no.am met av I . Shia f man cast : 5-4-90 cutetto av i cat: 3 T'U -%

i 7.0 Nomenclature A - area through which heat flows square feet V - volume cubic feet .

i L .- langth along a heat flow path feet !

P, - thermal conductivity stu/hr-ft-deg F j h - surface conductance Btu /hr-f t2 -degF l

Q - rate of heat generated / transferred Btu /hr or Kw U - heat transfer coefficient Btu /hr-f t 2 -dt.gF R - thermal resistance det F/ Btu-hr-ft i j -

interior node number l i

F. - Fourier number i

?

Bio - Biot number- l l

Tm - air temperature deg F T, - surrounding surface temperature deg F i - time minute .;

si - time gradient minute -

e, - specific heat at constant pressure Stu/lb mass-deg F !

m - mass lb "

at - temperat'are differenco deg F 4x - length increment ft i

, - density lb/ cubic ft t

Dwg drawing ;

'l UFSAR Updated Final Safety Analysis Report UFHA Updated Fire Hazards Analysis i;

.p sft 00 397 8 REV 10/34 (cv).

s ttt k l d fctI 4 sattes inci6ttei.c :teastat=t CALCULATION SHEET Room Temperature Response During susst et : Station. Blackout uit =0. M-73-ll6 siv, 1 a.o.no.flil_mAct et t 1,_1hlgf pap _catt :1di .19 cattato er t,2.y, -djati s f*2 7 "'/d 8.0 Calculation 8.1 General Equations:

a. Assume initially, that during the first minute af ter SBo event all heat generated by the electrical equipments, lights and people is absorbed by the room air, where:

Q a l " e . ,c, ,i,v,5, A T where: AT = T,5,,, - T. ,,5.i Let: Ft = Qai for i = 1 minute T.,,,i.t ,,,

= Fi / r.,,c , ,i,v ,,, +T.,,,;.a (Equation No.1)

b. Assume that heat energy transferred to the envelope (partitions) by natural convection will take effect two minutes after SB0 event. The following equation will be used to calculate the room temperature at i 2 2 minutes:

Q a 1 - h,i,Aa 1 (T. ,,3 3 - T., .t) = s5,c,,i,v.,aT To simplify the calculation, let:

F

s .5 Cp . ,V . , , and F = h,,,Aai 3

Therefore:

T.,,,,.2 =(F t -

F 3 (T,,,,.t - T .t)]/F2 + T.,,,,.i (Equation 2) 1 Sct OD 397.s aty 10/34 tcw) l

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(WGibittlWC DEPAATOut CALCULATION SHEET Room Temperature Response During susnCT : Station Blackout Lt wo. M-73-116 arv. 1 J.o.uo, e m w e er: I . ShigMCL,0Af t ![-4 "1Q CktCMD if ![ @# 9 Afi 1,(((1 O

c. Transient heat flow through the partition.

at different times after SBC event, To define the the finito difference metho temperature T'd 3 was applied (ref.11, section 5. 8.1) .

The concrete slab is divided into equal finite slices of thickness ax apart and separated by " nodes".

0 0 T, , 3 1 l ' -

I .s.

t T.*

I Hodes l 1 2 3 4 5 ax T. l4 T-f I %r.4 T,i,

Tsar 9"" =

l

E, t ,,4 m+ -

1 u __-_--

ax/2 _

ax/7 L _

ax l _

Analyzing the first Hode, O to 1 and considering a heat balance, the adjacent half slica gives:

M ( T,1,, s.3 -

T.,i.3) - M (T.,31 - T,33)/ax = 3 (Aax)(s, .c, ,,,,) ( To ,3,3 - T ,3,s.3) / 2 4 i For approximation, the temperature at Node 0.5 is replaced by that 2t the surface; T, , 3 - T ,,3 3 T. , , = 2 a i/ ,. .c, ,ma x ( h (T,,,,3 3 - T.,i.3) -

k/ a x ( T., g.t - T,33))+ T.,i.s 3

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1 Designating the dimensionless modulus:

i Bio = hax/k; F, = aal/ax 8 where a = k/sc and i

! 2hai/scax = 2BioF ; 2&ik/scax8 = 2F,

!=

i T .a = 2 F,( Biot.t,,t.t + Tt ,s.t) + (1 - 2 BieF. - 2F.) (T.,s.1) 3 (Equation No. 3)

j To retain stability of the solution to the above equation, it is required that (1 - 2Bior - 2F,) be greater than or equal to zero.

1 - 2 EloF, - 2 F, 2 0 F. (1 + Bio) 5 1/2 1.

'. 1

! F, 5 (Equation 4)

j. 2(1 + Bio)

[ d. Interior Nodes:

^

4~

x _r

e o o j-1 j j+1 Energy Equation, assuming one dimensional heat transfer 1/a x dT/dT = d T/dx 2 2 d*T/dx2 3= (dT/dx 3.g - dT/dx 3.g)/ax (ref.11 pg.144) dT/dx 3.g = (T .t - T )/ax ; dT/dx 3.g = (T - T .t)/ax 3 3 3 3 Substituting 8 8 d*T/dx 3

=

(T 3.3 -

2T 3 + T .1) / a x 3

, then the energy becomes:

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(1/a) (T3 ,i - T ,s.1 )/41 = (T ,3,s.3 + T .g,3.g - 2T )/ax 3 3 3 3 8

Therefore

{

T 3,3 = aai/ax (T .3,s.3 8

3 + T .1,3.3 t -

2T3 ,g.t )+ T3 ,3.t f

.i T 3,3 = F,(T3 .t,s.: + T .3,g.g) 3

+ (1 - 2 F,) T ,3 3 3 l l

Let F, = 1 - 2 F,, Then j i

T 3,3 = F, (T 3,3, 3.t + T .g, 3

$.i) + F. (T3,s.3) (Equation 5)

Equations 1. 2, 3 and 5_were entered into the LOTUS program and the results are tabulated in the computer printouts.

General Therar.1 Properties!

a concrete c,,,,,,= 0.21 Btu /lb F (ref.6) s ,,, , = 14 3 . 5 8 lb\ft' (ref.6) k,,, , = 1. 0 4 Btu /hr ft F (ref.7) e air c,,i,= 0.24 Btu /lb F (ref.7) s ,3, = 0.07 lb\ft 8

(ref.7) .

8 h,3,=1.47 Btu /hr ft F (ref.7) l l

l-SCE QD 397 8 REV 10/84 (Cb)

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Room Temperature Response During sus.t ct : Station Bl.ickout cAte wo. M-73-116 arv. 1 J.o.ho.E11_xA:t at : LShlafran_.catt : 5-4-90 encup sv Jestr : [23 W 8.2 SWITCHGEAR ROOM #302 Room Heat Transfer Areat Walls Areast a) 3/4" gypsum plaster wall (east and south)

A= (32+49+1.7) x 18.75= 1551 ft i b) 1" gypsum plaster wall (north)

A= 18.75 x 30.3= 568.1 ft #

c) 1 ft concrete wall (west)

A = 49 x 18.75= 919 ft 2 2

Asia rotat=15 51+ 5 6 8 +919 = 3 0 3 8 ft Ceiling Areat Actitler,= ( 4 9 x 3 2 ) -(11. 5 x 1. 5) =154 8 ft i 2

Area for fireprofing beam equal 364 fg (ref.2)

AgAt taAhssta crit.= 1548-364= 1184 ft Agorat gayria,5,gn=1184 + 3038 = 4222 ft 2 Room Volume:

Volume of empty room =1548 ft2 x 18,75 ft = 29,026 ft3 (ref.2)

Volume of electrical cabinets, pangersupports, cable trays and a/c ducts equal to 4808 ft (ref 2)

Vhti votet= 29026-4808= 24,218 ft3 Initial room ambient temperature = 95 deg F Initial wall temperature = 95 deg F Cor.cret e wall and slab thickness: For conesrvative approach, assuming that cast, south and north walls are concrete and thickness is equal to L = 1 ft.

Heat Gaits:

CittcT. '

2119 wt x 3.413 Btu /hr wt = 7232 Btu /hr (Ref. Att. 2) mrt n Kn?.n mn _wiw am _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

tucintratwo capaatatut l CAL.CULATION SHEET Room Temperature Response During svanct: S Atjon Blackout, caLe wo. M-73-116 ti v . __1 a o.no, pit =Act sv : I . Shla fmaLeait : 5-4-90 :>ttato sv : N att : F2 3 ~7d

_=_

Sample calculation From Equations 1 and 2, at i = 1 minute T,ir,i,3 =

Fi /F2 + T, i r , , ,4 where: (ref. Eq. 1 pg.17)

Fi = Qai = 7232/60 = 120.53 Btu / min, and F2" en trVeirenic = (0.07)(14218)(0.24) = 406.9 Btu /deg F T,ir,i,3 =

120.53/406.9 + 95 = 95.. 9eg F At i = 2 minutes:

Tele,tet = (F3 -

F3 (T,ir,4,3 - T ))/F2 + T,i r, i,i , ('re f . Eq. 2 pg.17) where: F3 = h.ir Aai = 1.47 x 4222 x 1/60 = 103.43 Btu /deg F T,te,i,2 = (120.53 - 103.43(95.3 - 95))/406.9+95.3 =95.52 deg F Bi =hax/k= 1.47x 0.0833/1.04= 0.117 say 0.12 F. =kat/pcax 2 = (1.04 x 1/ 60)/14 3. 58 x 0. 21 x 0. 08 3 32,

= 0.0828 stability criterion requires that the coefficient fcr T.,j., in equation 3 be creater than or equal to zero 1-2 Bi F, - 2 F, 2 0 or ( re f , pg . 19)

F. (1+ B i ) ~ $ 1/ 2 or F, 5 1/ 2 (1/1 + 0.12) 5 0.45 or 04t/*x 2 5 0.45 ; o = k/pc at 5 .045 x 6:4 /o2 or a t 5 0. 4 5x0. 08 3 3 x14 3. 58x0. 21/1. 04 j at5 0.0905 hr (5.4 min) ,

therefore, at=1 minute satisfies the stability criterion.

To calculate the wall temperature and interior " node" temperature we used equations 3 and 5 from general calculations, i=2 min, T ,2:= 4 2 x 0. 08 28 ( 0.12 x 9 5. 3 + 9 5 ) +

+ (1- 2 x 0.0828 x 0.12 -2 x 0.0828) x 95 = 95.01 F

SC1 00 397 8 try 10/64 (CV)

satstkdf_.es f.4 .settu thclhtitlhG OEPAnf* INT CALCULATION SHEET Room Temperature Response During sussett Station Blackout talc ho. M-73-116 aty. 1 s.o.ho. 6711 met av LdhlafaaILeait : 5-4 ~9 0 cutesto at

c' batt : P21-10 from equation 5, F4 = 1- 2 F, = 1 - 2 x 0. 08 2 8 = 0. 8 3 4 4 l T 3,3 =

0.0828 x (95 + 95) + 0.08344 x 95 = 95 F T.2= 0.0828 x (95 + 95) + 0.08344 x 95 = 95 F 2 ETC... l For this iterative culculations, the equations 1,2,3 and 5 were entered into LOTUS program and the results are tabulated on pages 24 thru 32. ,

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IncthlitthG DIH'I"I"I CALCULATION SHEET Room Temperature P.esponse During wencit St atior)_ Blackout catt no. M-7 3-11L esv. 1 J.o.no, e m =Att sv lJihl.3 fman eats t1.4-90 cutcrto er- h Q ats:_ M 3 " 7 o 8.3 Distribution Room ( 31 Q3.).

Room Heat Transfer Area Wall a) 3/4" plaster wall (north)

A,rtn .,g t = 18 (v) x19 = 342 f t 2 Ceiling a) l' concrete A,,it=18 x 14. 8 8 =2 7 6 f t !

Ai , .t n,., i r n. ,,e ,,,=342 + 607 =609 ft 2 Room Volume (ref.1)

V ,,,ir,,=14.52 x 17.375 x 18.75 = 4730 ft 3 V,i .e ,,,o+ V tray +Vut+Vhenser=2 07+18+12 5+8=3 58 f t 3 (ref1)

Vn,e coo.= 4730 - 350 =4372 ft 3 Initial temperature z 95 dog F Initial wall temperature z 95 deg F concrete wall and slab thickness: For conesrvative approach, 4

assuming that north wall is concrete and -thickness is equal to

. L = 1 ft.

Heat Gain:

Qattet, = 3914 wt x 3.413 Btu /hr wt = 13359 Btu /hr (Ref. Att. 2)

Sanole calculation From Equations 1 and 2, at i = 1 minute T,ir,i.i =

Fi /F + T,ir,i.o where:

Fi = Qai = 13359/60 = 222.65 Btu / min say 222.7 Btu / min F2" 8 s t rVairCpai, = (0.07) (4372) (0.24) = 73.4 Btu /deg F

)

T,ir,t.i = 222.7/73.4 + 95 = 98.03 deg F i

At i = 2 minutes:

Te t r. l 2 " (F1 -

F3 (T ir,s. - T,) ) / F2 + T,i r, i . i , where

set ao 397 s aty io/s4 (cw) w,--e- ,-w*,w - ,,,r +g-, * , v.,,-gy--y,,,, ,,,,,y--g, ,,,,,--4y---.----,,,+,-m-9-- ,---e wv.y w-y-- 1r -v +vwyy- T'

,,itt ai%!4 i.m . ,

thGlkt[ RING DtPattmthi )

CALCULATION SHEET !

Room Temperature Response During susaci t Station Blackcut _ CALC =o. M-7 3-116 erv. 1 s.o.mo. 6 m meet er: I . Shi a (nan _ cart t 5-4 -9 0 catcato se t _urs# '** att : P Z 3 'N i>

F3 = h.ir AAi = 1.47 x 609 x 1/60 = 14.9 Btu /deg F !

l Tair, s.2 = (222.7 - 14,9(98.03 - 95)]/406.9+98.03 =100.44 de F

{

l B3 =hax/k= 1.47x-0.0833/1.04= 0.117 say 0.12 !

)

F, =kat/pcax2= (1.04 x 1/60)/143.58 x 0.21 x 0.0833 3 *

{

= 0.0828 f i

Stability criterion requires that the coefficient for T,,j.3 in -l equation 3 be creater than or equal'to zero !

1-2 Bi F, - 2 F, 2: 0 or f

F. (1+ B i) 5 1/ 2 or F, 5 1/ 2 - ( 1/1 + 0.12 ) 5 0.45 l 2

or oat /ax 5 0.45 ; o = k/pc i 2 at 5 . 04 5 x ax /o or at 5. 0. 4 5x0. 08 3 3 x14 3. 58x0. 21/1. 04 s ats 0.0905 hr (5.4 min) , j therefore, at=1 minute satisfies the stability criterion. [

To calculate the wall temperature-and interior " node" temperature we used equations-3 and 5 from general calculations, r l

i=2. min, To.2= 2 x 0. 0828 (0.12 x 93. 03 + 95) +

+ (1- 2 x 0.0828 x 0.12 - 2 x 0.0828) x 95 = 95.06 .

j F !

from equation 5, F4

= 1- 2 F, = 1 - 2 x 0. 082 8 = 0. 8 3 4 4 )

l T g,g = 0.0228 x (95 + 95) + 0.08344 x 95 = 95 F l l f

l. T 2.2= 0.0828 x (95 + 95) + 0.08344 x 95 = 95 F ETC... j l l For-this iterative - calculations, tl'e equations 1,2,3 and-5 were i entered into-LOTUS program and the rtsults are tabulated on pages j

35thru g . l t

f l

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_ -. . ._.,, _. .fb . ,

N.I! . , _ _ _ _ . _ ~ . _ _ _ . . _ _ . . _ . _ . . . _ _ . _ . _ . _ . . _ , _ _ _ _ . . - . - . , _ . . . _ . . . _ _ . _ - _ _ . . _ _ _ . . .

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sleet Transfer Program touMTEMP 1

concrete akt saan vol.

Steedr state fesp.

A 4t k rho Cp O V ty sRspec 1

(ft*2) (br) (stu/hr-t-f t) ' (th/f t'3) (stu/ttrf) . (stuthr) (ft'3) Trummec= (0/a>'.75+t=ett= 1.382E+02 l INPuis 6.090E+02 1.66TE -02 1.040E+00 1.436E*02 2.100E-Of 1.336E+04 4.372E+03 3.914E+03 5.658E+01 eir Well Thick. steel 3.500E+01 Test dK rho Cp h E. Cp n (t) (ft) (th/ft'3) (stu/ t tr f ) (sturhr-t-f t 2) (ft) (st u/ t tr f ) (th)

lePuis 9.500E+01 8.333E-02 7.000E-02 2.400E-01 1.470E +03 1.000E+00 1.040E-01 0.000E+00

?

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CAtCULATED 3.449E -02 8.27TE - 02 1.178E-61 9.500E+01 l

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-(NGlkttRING DEPAffMENT' CALCULATION SHEET Room Temperature Response During sussect : S.j;A_

t ion Blackout calc uo. M-73-116 arv. 1 J.o.no. 6711 =Act av : 13.Shlafman catt: 5-4 -9 0 catexto av ' g deAtt: f 23 TD

8. 4 .CQEP1LtgI_ Room EL 3 0 '-00" (Room 2 32.1

-Roca Heat Transfer Areat Wall (ref 9 pg.17A) a) 3/4" plaster wall (west) 3 A..e ..t t= 290 ft I

b) 2 ft concrete wall (north) i An ,sn ..tt= 230 ft 3 ceiling a) 1 ft concrete slab

, A,. t=102 5 f t 3 As ,.t=290 + 230 + 1025 = 1545 ft 2 Room Volume (ref.9)

Vs , , ,1 , ,,,. = 19285 ft 3 (inluded suspended ceiling and raised floor volumes)

V,,n n,,, = 1519 ft 3 (ref. Att.1)

Assume 2% of total volume are taken by beams, suspended ceiling and

raised-floor structures.

V,, e ,,,= (19285 x.98) - 1519 = 17380 ft 3

( Initial temperature = 72 dag F (Reference 9)

Wall average temp. , T,,,u .ns.= ( T,,,,,.o+ T,,c, a,) / 2 (ref.14)

T u vrs.= (72+ 7 5)/2 = 73.5 F = 7 5.0 F Concrete wall and slab thickness: For conesrvative approach, assuming that west wall is concrete and thicknaass is equal to L=1 ft.

Heat Gain Qguet = 37.86kw x 3413 Btu /hr kw = 129212 Btu /hr (Ref. Att. 9) scE CD 397 8 R V 10/84 (cW) __ , , , ,, , _ ,

. _ . . . . ...--..._--._m . . . . . - - - . - - . _ _ - . _ _ _ _ _ . -

i i

$dttib Of

$Nettl twClktt'ING CEPAR'futst CALCULATION SHEET Room Temperature-Response During !

sussects _ Station Blachol:t ene no. M-7 3 -116_ arv._ _ 1 ;

g.o.wo.pu-notsv: -I.Shlafman cAtt:1_4_2.Q curetto sv : Att : P 2-3 @

i Samole Calculatio.D I From Equations 1 and 2, at 1 = 1-minute !

l t

T 1,,3 3 =

F /Ft

+ T,1,,1., where )

i F = QAi 3

= 129212/60 = 2153.5 Btu / min say 2154 Btu / min l F = s 3,v,3,c,,i, _ = (O.07)(17380)(0.24) =-292 Stu/deg F T,,,,,.g = 2154/292 +-72 = 79.37 deg F -!

At i = 2 minutes: l 1

T.tr.t 2 = (F - ~ F ( T,,,, i.t - T.) J / F2 3

+ T ,a.3, where {

F3 = .h ,3, AAi = 1.47 x 1545 x 1/60 = 37.85 Btu /deg F !

-T,i,,i. = (2154 - 37.85 (79.37 - 75) )/292+73. 37 =86.18 dog F Bt =hax/k= 1.47'.( 0.0833/1.04= 0.117 = 0.12 l 3

F =ka t/pcax .a = (1. 04 x 1/ 60)/14 3. 58 x 0. 21 x 0. 083 3 =

= 0.0828 f

1

stability criterion requires that the coefficient for T oa. in- .;

equat i on 3 be creater than or equal to zero t

1-2 Bt F, _ - 2 F, 2 O or F. (1+ B t ) - 5 1/ 2 or F, 5 1/ 2 (1/1 + 0.12) $.0.45 f i

or oat /*x2 5 0.45 ; a =-k/pc_ f f

2 2 4t 5 . 04 5 - x ax /a or . a t 5 0. 4 5x0. 08 3 3 x14 3. 58x0. 21/1. 04 l l

ts 0.0905'hr (5.4 min) , I L

L therefore, at=1 minute satisfies the stability criterion. j l- i l . To calculate the. wall-temperature and interior " node" temperature !

we used equations 3 and 5 from general calculations. ;

i=2 min ,- T o ,2= 2 x 0.0828(0.12 x 79.37 + 75] + (

l + (1- 2 x 0.0828 x 0.12 - 2 x 0.0828] x 75 = 75 F - j from equation 5, F. ; = 1- 2 F, = 1 - 2 x 0. 0 8 2 8 = 0. 8 3 4 4 l .

i. Set 00 397 8 REV 1o/84 (cw)

-, _n,

. , _~. _ .._ .___. . _ . . .--~_..-.._._._m___. _ . _ . - . . _ . . ...._ _ _ _ m ._ _ . . . _ . _ _ _ _ _ . . _ _ _

$Nitf D ~ I Cf $ d lat!TS (NCthtttihG CIPAttutki CALCULATION SHEET Room Temperature Response During susJECT 3 . Sj;Ation Blackout enc me. M-73-116 esv. 1 J.o.wo._6711 est at: I.Shlafman eaft: 5.-4-93 caterto av * / hatt : b23 T9 7 1.2

=

0.0828 x (75 + 75) + 0.08344 x 75 = 75 F' !

T 2 .2= 0.0828 x (75 + 75) + 0.08344 x 75 = 75 F ETC...

For this iterative calculations, the equations 1,2,3 and 5 were entered into LOTUS program and the results are tabulated on pages thru ,

1. '

. SCE OD 397 3 REV 10/84 (CW) , . ,

S-l SHEETR8- h 0F ST CALC. NO: M-WMb N. _

sy: EG *7*~6 t ATE: N CO@ UTER R0lDI UNII 2/3 gg- *1 7 p g h [$'ff) ,

f Heat Transfer Prograr ROOMTEMP concrete met Room vol.

Steady state Temp.

A dt k rho Cp G V ty utstARC (ft 2) (hr) (Stu/hr-t-ft) (tb/ft'3) (stu/tb-t) (stu/hr) (ft~3) inumarc= (44)~.75+ twet t = 1.928E+02 !

Inftlis 1.545E+03 1.667E -02 1.04CE*00 ~.436E+02 2.100E-01 1.292E*05 1. 738E + 04 3. 786E +04 1.435E +02 air Watt thick. steel 2.389E

01

iair dx rho Cp h L Cp M (f) (ft) (tb/ft 3) (Etuttb-f) (3tu/hr *-f t'2) (ft) (Stuttb-f) (tb)

IMPUTS 7.200E+01 8.335E 02 7.000E-02 2.400E-01 1.470E +00 1.000E+00 1.04EE -01 0.000E+00 alpha f(+=.415) Biot Twat 1(f) f1= f2s f3= f4=

......... ............... .......................... 2 154E+03, 2.920E+02 3.7est+01 .8.345E-01 CALCULATED 3.445E-02 8.277E-02 1.178E-01 7.500f*01 t (nin) fair Twatt (m60) 1 2 3 4 5 6 T 8 9 10 0.000E+00 7.200E + 01 7.500E*06 7.500f*01 7.530E+01 7.500E+01 7.500E+01 7.500E+01 7.500E+01 7.500E +01 7.500E+01 7.500E+0i 7.500E *01 1.000E+00 7.91SE+01 7.494E+01 7.500E +01 - 7.500E+01 7.500E*01 7.500E*01 7.500E +01 7.500E+01 7.500E*01 7.500E+01 7.500E+01 7.500E +01 -

2.000E+00 8.618E +01 7.Su(E*01 7.500E+01 7.500E+01 7.500E+01 7.500E*01 7.500E+01 7.500E+01 .'.500E *01 7.500E+01 7.500E +01 7.500E*01

SHEET W 4 9 op_ V4-CALC. NO: _ N kN REVISION:

By: T. . butnasj ATE:- U CHECKED /

TE-S2Vib COMPu1En ROOM tmli 2/3 3.000E+00 9.211E+01 T.525E+01 T.500E*01 T.500E+A1 T.500E+01 7.500E401 T.500E+01 T.500E+01 7.500E+S1 7.500E +01 7.500E+01 7.500E+01 4.000E+00 9.730E +01 7.554E+01 T.502E+01 F.500E+01 T.500E+01 7.590E+01 T.500E +01 7.500E+01 7.500E+01 7.500E+01 7.500E+01 7.500E+01 5.000E+00 1.019E+02 T.587E + 01 7.506E+01 7.500E+C1 7.500E*01 T.500E+01 7.500E +01 7.500E+01 7.500E+01 7.500E+01 7.500E +01 7.500E +01 0.000E+00 1 059E*02 T.625E+01 T.512E+01 T.501E*01 7.'200E +01 7.500E

01 7.500E+01 7.500E+01 7.500E+01 T.500E

01 7.500E+01 7.500E+01 7.000E*00 1.094E *02 T.664E+01 T.521E+01 7.502E+01 T.500E+01 7.500E+01 T.500E

01 7.500E*01 T.500E+01 7.500E +01 7.500E+01 T.500E +01 8.000E+00 1.125E*02 7.704E*01 7.531E

01 T.503E+01 7.500E+01 T.500E+01 T.500E+01 7.500E+01 7.500E+01 T.500E+01 7.500E *01 7.500E+01

~

9.000E*00 1.153E

02 T.744E+01 T.543E+01 T.505E+01 T.500E+01 7.500E*01 1.500E+01 7.500E+01 T.500E+01 T.500E+01 7.500E+01 7.500E+01 1.000E + 01 1.178E+02 7.785E+01 7.556E

0 s 7.508E*01 7.501E*01 7.500E+01 7.500E +01 7.500E+01 7.500E+01 7.500E+01 T.500E+01 7.500E+01 1.13E *01 1.200E+02 7.825E+01 7.571E+01 7.511E*01 7.541E*01 7.500E+01 7.500E*01 T.500E+01 T.500E+01 T.500E+01 7.500E +01 7.50nE*01 1.200E+01 1.219E*02 7.864E+01 7.58 7E

01 7.515E *01 T.502E+01 7.500E+01 T.500E*01 T.500E+01 7.500E+01 T.500E+01 7.500E*01 7.500E*01 1.300E+01 1.237E *02 T.905E + 01 T.604E*01 7.520E

01 7.503E+01 T.500E+01 7.500E + 01 7.500E+01 T.500E+01 T.500E+01 T.500E+01 T.500e+01 1.400E*01 1.253E*02 7.941E+01 7 622E

01 7.52M + 01 7.504E+01 7.501E+01 7.500E+01 T.500E+01 T.500E+01 7.500E+01 7.500E+01 7.500E +01 1.500E

01 1.267E*02 7.977E + 01 T.640E*01 7.532E*01 7.506E+01 7.501E+01 T.500E*01 7.500E +01 T.500E+01 7.500E+01 7.500E + 01 T.500E+01

1. 600E +01 1.280E+02 8.015E + 01 T.659E+01 7 539E+01 T.507E +01 7.501E +01 7.500E +01 7.500E+01 T.500E+01 T.500F+01 7.500E+01 7.500E+01 1.700E+01 1.292E+02 8.048E+01 7.679t+01 7.546E+01 7.510E*01 7.502E+01 7.500E+01 7.500E+01 7.50GE+01 T.500E+01 7.500E *01 7.' 00E

01 1.800E+01 1.302E*02 8.082E+01 7.693E + 01 7.554E+01 T.512E + 01 7.502E+01 T.500E+01 7.500E+01 7.500E*01 7.500E +01 7.500E+01 T.500E *01 1.900E+01 1.312E+02 8.115E

01 T.718E+01 7.563E+01 7.515E+01 7.503E 301 7.500E+01 a.500E*01 7.500E+0i 7.500E+01 7.500E+01 7.500E+C1 2.000E

01 1.321E+02 8.14 7E

01 T. 738E + 01 7.571E +01 T.518E*01 T.504E*01 7.501E

01 7.500E+01 7.500E+01 7.500E+01 7.500E +01 7.500E +01 2.1612+01 1.329E*02 8.178E + 01 T.758E+01 7.581E+01 7.52tt+01 7.504E + 01 7.501E+01 T.500E+01 T.500E+01 T.500E+01 7.500E +01 T.500E*01 2.200E+01 2.336E+02 8.208E+01 T.773E+01 7.590E*01 7.524E*01 7.506E*01 7.501E+01 7.500E+01 7.500E+01 T.500E+01 7.500E+01 7.500E+01 2.300E*01 1.343E+02 8.237E *01 7. 798E

01 7.601E+01 T.528E+01 7.50TE+01 7.%1E +01 7.500E +01 7.500E+01 7.500E

01 7.500E*01 7.500E + 01 2.600E +01 1.350E+02 8.266E

01 7.818E + 01 T.611E+01 T.533E+01 T.508E*01 7.502E 01 T.500E+01 T.500E*01 7.500E

01 7.500E+01 7.500E+01 2.500E+01 1.356E+02 8.294E*01 7.836E*01 7.622E +01 T.537E+01 T.510E+01 7.502E

01 7.500E+01 T.500E +01 T.500E+01 T.50CE+C1 7.500E +01 2.60G +01- 1.361E+02 8.321E*01 7.858E+01 T.632E+01 7.542E+01 7.511E+01 7.503E+01 7.501E+01 7.500E+01 7.500E*01 T.500E+01 7.500E *01 2.700E +01 1.366E+02 8.34TE*01 7.878E+01 7.644E+01 1.54TE+01 7.513E+01 T.503E+01 7.501E+01 7.500E+01 T.500E+01 7.500E+01 T.500E +01 2.C3G+01 1.371E*02 8.3 TIE *01 7.897E+01 T.655E *01 T.552E + 01 T.515E+01 7.504E+01 T.501E*01 7.500E *01 7.500E+01 7.500E+01 T.500E +01 2.9C3E

01 1.iT6E+02 8.399E+01 7.916E*0= ?.666E+01 7.557E + 01 7.51/E+01 7.504E+01 T.501t - al 7.500E+01 7.500E*Gt 7.500E

01 7.500E *01

a lsusarM- Coo p rt ,

Icacm M'1% hL :

REVISION:

B NNNDATE: b CHECKr -

ATE: ED N i COMPU1ER ROOM UNil 2/3 3.000E+01 1.36dE+02 8.423E+01 7.93M

01 7.6TM + 01 7.563E + 01 T.519E+01 7.505E+01 T.501E+01 7.500E+01 7.500E+01 7.500E+01 7.500E+01 3.100E*01 1.384E+02 8.44TE+01 7.955E*01 T.690E*01 7.569E+01 T.522E+01 T.506E+01 T.501E+01 7.500E +01 7.500E+01 7.500E+01 7.500E*01 3.200E+01 1.388E + 02 8.471E *01 7.974E +01 7.702E+01 7.575E*01 ' 524E+01 7.50TE+01 T.502E+01 7.500E+01 7.500E+01 T.500E+01 T.500E+01 3.300E+01 1.39?E*02 8.494E+01 T.992E

01 T.714E+01 7.581E+01 T.52TE + 01 7.508E*01 T.502E+01 7.500E+01 7.500E+01 7.500E+01 7.500E*01 3.60M*01 1.395E*02 8.51TE*01 8.011E*01 7. 72M + 01 7.589E+01 T.530E+01 7.509E *01 T.502E+01 7.501E*01 7.500E+01 7.50lA+01 7.50(K+01 3.500E+01 1.398E*02 8.539E+01 8.029E+01 7. 738E + 01 7.595E+01 T.533E+01 7.510E +01 7.503E+01 T.501E+01 7.500E+01 7.500E+01 T.500E

01 3.600E*01 1.402E+02 8.561E*01 8.04TE+01 7.750E+01 7.601E+01 T.53M +di '/.512E +01 7.503E+01 7.501E+01 7.500E+01 7.500E+01 7.500E *01 3.700E+01 1.435E+02 8.582E+01 S.065E*01 7.763E*01 7.608E+01 T.540E+01 7.513E *01 7.504E +0i 7.501E+01 7.500E +01 T.500E d1 7.500E+01 3.800E *01 1.40TE+02 8.603E + 01 8.083E*01 7.TT5E+01 7.615E*01 7.543E+01 7.514E+01 T.504E+01 7.501E*01 T.500E +01 7.500E +01 1.500E+01 3.900E*01 1.410E + 02 8.624E*01 8.1081+01 T.T87E*01 7.623E*01 7.54TE+01 7.516E +01 7.505E+C1 T.501E+01 T.500E+01 1.500E

01 1.500E *01 4.CDOE+01 1.413E +02 8.644E + 01 8.!1M*01 7.799E+01 T.630E+01 T.550E+01 T.51eX +01 T.505E+01 7.502E +0i 7.500E +01 7.500E *01 7.500E*01 4.100E +01 1.416E+02 8.664E*01 8.135E*01 7.812E +01 T.63M+01 T.554E+01 T.519E+01 T.506E

01 T.502E+01 T.500E+01 7.500E+01 7.500E +01 4.200E*01 1.418E +02 8.683E*01 8.152E*01 7.824E+01 T.645E*01 T.55M*01 T.521E+01 T.50TE+01 7.502E + 01 7.501E+01 7.500E+01 7.500E*01

4. 300E +01 1.421E+02 8.703E*01 8.169E+01 7.83M +01 T.653E + 01 7.562E+01 7.523E +01 T.508E+01 7.502E*01 T.501E+01 7.500E +01 1.500E *01 >

4.400E+01 1.423E+02 8. 722E

01 8.185E + 01 T.849E *01 T.660E+01 7.56TE + 01 T.52SE *01 7.508E+01 7.503E +01 T.501E+01 T.500E +01 T.500E +01 p 4.500E+01 1.425E+02 .8.740E+01 8.202E+01 7.861E*01 T.668E +01 7.571E + 01 T.52TE+01 T.509E +01 7.5035+01 T.501E+01 1.500E +01 T.500E+01 '

4.600E*01 1.428E

02 8.759E+01 8.21M +01 7.873E + 01 T.6TM + 01 7.575E *01 T.529E*01 T.510E+01 7.503E *01 7.501E+01 F.500E+01 7.500E *01 4.70"E+01 1.430E

02 8. TTIE + 01 8.234E*01 7.885E+01 7.684E+01 7.580E + 01 T.531E + 01 F.511E+01 7.504E+01 7.501E+01 7.500E+08 T.500E +01 4.800E+01 1.432E*02 8.795E+01 8.250E+01 T.898E +01 7.692E+01 T.584E+01 1.534E*01 7.512E +01 T.504E+01 7.501E+01 7.500E +01 T.500E+01 4.900E+01 1.434E*02 8. 812E + 01 8.266E+01 7.910E + 01 7.700E+01 T.589E*01 T.536E*01 T.515E+01 7.505E+01 T.501E +01 7.500E+01 I.500E +01 5.00E + 01 1.436E

02 8.830E+01 8.282E*01' T.922E+01 7. 708E + 01 T.594E+01 7.539E+01 T.515E+01 T.%5E+01 T.502E+01 7.500E+01 T.500E + 01 l

5.100E+01 1.4 38E

02 8.84TE+01 8. 298E

01 T.914E*01 7.71TE*01 T.599E*01 T.541E*01 7.516E+01 T.50M+01 T.502E+01 T.501E+01 T.500E*01 5.200E*01 1.440E+02 8.864E*01 8.313E + 01 7.94M

01 7.725E+01 ?.604E+01 7.544E+01 7.51TE+01 T 50M*01 *.502E+01 T.501E*01 T.500E *01 5.300E+01 1.442E+02 8.881E+01 8.328E+01 7.958E+01 7. 733E +01 7.609E+01 7.54TE*01 T.518E+01 7.50TE +01 T.502E+01 T.501E+01 7.% -01 5.400E *01 1.444E*02 8.897E

01 8.343E+01 7.970E+01 7.742E+01 7.614E +01 T.549E+01 7.520E+0' T.50TE+01 T.502E +01 7.5C1E+01 7.500E +01 5,500E+01 1.446E+02 8.914E+01 8.358E+01 7.982E

01 7.750E+01 T.619E*01 7.552E *01 7.521E +01 7.508t+01 7.503E+01 7.501E+01 T.50(X*01 5.600E

01 1.448E+02 8.930E*01 8.373E+01 7.994E+01 7.758E*04 7.625E+01 7.555E*01 7.523E*01 7.509E+01 T.503E+01 7.501E +e' T.500E+01

__ _ . _ . ~

's e r o 51 or M l CALC. NO: b flEVISION.

BY: bWN DATE: II -

A+

i CHECKEh MTE: 9 0 * *l0 CDePUTER ROUM UNI 1 2/3 T.55M +01 T.524E+01 7.509E +01 7.50M +01 7.501E+01 T.500E+01 8.94M

01 8.38M +01 8.006E +t31 T.76TE+01 7.630E *01

5. 700E +01 1.450E + 02 T.561E +01 T.52M

01 T.510E+01 T.504E+01 T.501E +01 T.500E*01 8.962f*01 8.402E+01 8.018E+01 T.TT5C+01 7.635E +01 5.800E+01 1.451t+02 7.500E+01 T.641E+01 7.565E+01 T.52 TE +01 7.5'1E+01 7.504E+01 T.501E+01 1.45M*02 8.977E*01 8.41TE*01 8.030E+01 T.7849 01 5.900E+01 7.501E*D1 T.500E *01 7.792E+01 T.64M +01 T.56M

01 T.529E +01 T.512E+01 7.504E+01 6.0ME *01 1.455E+02 8.99M + 01 8.431E*01 8.041E+01 T.571E*01 T .531E+01 T.512E+01 T.505E+01 T.502E+01 7.501E+01 1.457E+02 9. 008E *01 8.445E+01 8.053E+01 7.801E+01 T.652t+01 6.1t m 01 T.505E+01 T.502E *01 T.501E+01 8.065E+01 T.809E+01 T.65& *01 T.574E*01 T.535E*01 T.51M *01 6.290E +C1 1.458E*02 1.024E*01 8.460E+01 7.535E+01 T.514E*01 T.59M *01 T.502E*01 T.501E+01 8.474E+01 8.076E + 01 T.818E 401 7.66M *01 T.578E*01 6.300E+01 1.460E+02 9.039E*01 T.501E+01 T.581E

01 7.53M *01 T.515 E + 01 T.506E*01 T.502E +01 8.08&+01 7.82M +01 T.669E +01 6.400E +01 1.46'E+02 9.054E*01 6. 487E + 01 T.501E*01 T.6TM *01 T.58M *01 T.538E*01 T.516E+01 T.50M +01 7.502E*01 1.44 3E + 02 9.068E+01 8.501E + 01 8.099E*01 7.835E +0' 6.500E+01 T.503E+01 T.501E+01 7.844E+01 7.681E+01 T.58M

01 T.540E*01 7.51TE*01 T.50 TE +01 6.600E+01 1.465E+02 9.08M*01 8.515E +01 8.111E

01 T.542E+01 T.518E +01 T.50TE*01 T.503E +01 7.501E *01 8.52M +01 8.122E +01 7.852f+01 T.68M *01 T.592E*01 6.TCCI+01 1.46TE+02 9. 097E

01 7.59d *01 T.545E+01 T.519E*01 7.508E +01 T.50M

01 T.50lE*01 9.112E + 01 8.54tf*01 8.133E+01 T.861E *01 T.692E+01 6.C30E+01 1.468E *02 T.50M *01 T.501E*01 T.69M *01 T.600E+01 T.54TE+01 7.520E*01 T.508E +01 1.4 70E + 02 9.126E*01 8.555E 01 8.144E+01 T.869E+01 6.900E+01 T.509E+01 7.503E*01 T.501t+01 T.878C +01 T.704E*01 T.603E+01 T.549E+01 T.522E+01 T.000E+01 1.471E+CJ 9.140E

01 8.56M *01 8.156E+01 T.551E+01 T.523E+01 T.510E+01 T.504E+C1 i.501E*01 8.16TE +01 7.88TE+01 T. 710E +01 7.60TE + 01 T.100E+01 +.473E*02 9.154 E *01 8.582E*01 T.502E +01 T.6:1E+01 7.55M*01 7.524E +01 T 510E+01 T.504E +01 9.168E+01 8.595E+01 8.178E

01 7.89% +0? 7. 71M +01 T.2C' JE + 01 1.474E+02 T.504E*01 7.502E*01 T.722E+01 T.615E*01 T.556E*01 7.5255.+ 01 T.511E+01 9.182i+01 8.608E+01 8.189E +01 T.904E+01 7.300E+01 1.476E+02 T.505E*01 T.502f+01 T.T29t+01 T.619E +01 T.558E *01 7 32TE+0's T.511E+01 1.4 TTE *02 9.195E*01 8.621E*01 8.200E+01 7.912E +01 T.4CDE*01 T.512E+01 T.50M *01 T.502E+01 T.921E*01 T.735E*01 T.623E+01 T.561E+01 T.528E*01 1.479E*02 9.209E+ut 8.63 3E

01 8.211E

01 T.500E+01 T.51 M *01 T.50M +01 T.502E*01 T.930E*01 7.741E+01 T.62 rE + 01 T.563E+01 T.529E+01 T.600E +01 1.480E +02 9.222f*01 8.64M +01 8.222E*01 l T 5'1E +01 T.514E+01 7.506E+01 T 502E*01 8.23 M *01 T.938E+01 7.74TE+01 7.631E+01 T.56M

01 7.70CE*01 1.482t+02 9.23M *01 8.659E+01 T.502E+01 T.63M +01 T.56M +01 T.532E+0' T.514E+01 T.506E*01 8.671E + 01 8.244E+01 7.94TE*01 7. 75 M +01 T.800E+01 1.483E+02 9.249E+01 T.50M *01 T.50M +01 7.640E*01 7.5 71E +01 7.534E*01 7.515E+01 1.484F+02 9.262E+01 8.684E+01 8.25M +01 7.95M+01 T. 760E +C1 T.5Gu ,01 f T.900E+01 T.535E+01 T.51M +01 7.'07E+01 8.265E +01 7.964E*01 T. 76M + 01 T.644E+01 T.5 TM +01 8.00C1*01 1.486E*02 9.2 75E *01 8.696E+01 T.50 M *01 f T.972t+01 7.TT2t+01 T.64M+01 T.57e"+01 T.5371+G1 T.51TE+01 T.50TE*01 8.100E +01 1.487E+02 9.28M +01 8. 70M +01 8.2 TM +01 f 7.5 79E

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thGlhtitlhG DEPARTMENT CALCULATION SHEET ;

Room Temperature Response During !

sesatct : - Station Blackout- cAtc ho . M - 7 3_- 1 1 6 esv. 1 ;

a o.uo. 6m we sy: ,I . Shla fman oAtt : 5-4 9Q chtexto sv- a cAtt : b23 Yo 8.G AQXJLI ARY FEED WATER PUMP ROOM l Room Heat Transfer Area (ref.3) .

Walls Areas-(concrete wall):

2 Ascutu wAu= 903 ft l 2

A ,oern wa u = 9 0 3 ft l AtAsiswest wAu= 378 ft 2

f Ceiling (concrete slab): ,

Aegitinc= 1715. f t 2 Aoin=(903 t x 2) + (378 x 2) +1715 = 4277 ft 2 ,

Room Volume: t Volume of empty room =64.5 x 27 x 14 = 24381 ft 3 (ref.3) [

Assume that volume of equipment, pipe and hanger supports i equal to 5% of total volume l Vugt youg= 24381 x 0.95 = 23162 ft3 r

Initial room ambier.t temperature = 104 deg F .(ref.3) ;

conservately assume that initial wal'1 ambient temperature =104 F f Heat Gain (ref. 3 pg 15c) - !

Total heat dissipated to the room is equal to ;

i Q or.t t

=

13635 Btu /hr !

i Samole Calculation l From Equations 1 and 2, at i = 1 minute T.ir,i i =

Ft /F2 + T.ic,i.o where: l F3 = Qai = 13635.<u0 = 227.25 Btu / min, and F2

>.' Valecpetr = (0.07)(23162)(0.24) = 389.12 Btu /deg F Bil LG 297 0 0% 19K3 (UM __

surttTP5~Ior M sattis :

(NG!httRING CEPARTMENT CALCULATION SHEET Room Temperature Response During sussect : Station Blackout calc wo. M-7 3-116 arv. 1 J.o.ho. 6711 mact av: I.Shlafman DAtt: 5-4-90 caterto av: DAtt : NJ "ID T ir,i.i = 22../t/389.12 + 104 = 104.6 deg F At i =-2 minutesi Teir,1 2 = [F i - F (T,ir,s.i 3 - T,) )/F3 + T ir,i.3, where F3 = h ir Aai = 1.47 x 4277 x 1/60 = 142.57 Btu /deg F Tetr,1=2 = ( 227. 2 5 - 14 2. 57 (104. 6 - 104) )/ 3 89.12+104. 6 = 105 degF Bi =hax/k= 1.47x 0.0833/1.04= 0.117 = 0.12 F, =kat/pcax 2 =.(1.04 x.1/60)/143.58 x 0.21 x 0.0833 2 ,

= 0.0828 Stability criterion requires that tne coef*1cient for T., p i in equation 3 be creater than or equal to zero ;

i k2 Bi F, - 2 F 2: 0 or F. (1+ Bi ) $ 1/2 .or F 5 1/2 (1/1 + 0.12) 5 0.45 or oat /ax2 5 0.45 ; o = k/pc 2

at $ .045 x ax /a o at 5 0.45x0.0833 x143.58x0.21/1.04 2

ats 0.0I05 hr-(5.4 min) ,

therefore, at=1 minute satisfies the stability crite4 ion.

.To calculate the wall temperature and interior " node" temperature we used equaticns 3 ord 5 from general calculations.

i=2 min, T ,2=

o 2 x 0.0828(0.12 x 104.6 + 104] +

+ il- 2 x-0.0828 x 0.12 - 2 x 0.0828] x 104 = 104 F-from equation 5, F4 = 1- 2 F, = 1 - 2 x 0. 08 2 8 = 0. 8 3 4 4 T 1,2 = 0.0828 x (104 + 1 '. t ) + 0.08344 x 104 = 104 F T 2 .2= 0.0828 x -(104 + 104) + 0.08344 x 104 = 104 F ETC...

For this -iterative calculations, the equations 1,2,3 and 5 were entered into LOTUS program and the results are tabulated on pages 60thru g.

scR F0 E97 0 ROM 18 RlM

b cAu:.no: 14- B-Ilf, e ' '

REVISION- I l

BY: 2. hWMkTE If'}f3" cuecne 5 & oner-25 9c, L

b AfW Pts 4P 200m tatt 2/3 D OF N '

ent Transfer Program PmstfEW I concrete met Ruon vol.

, .............................~ .......... ...~ .......-

Steady state Temp.

A dt k rbo Cp G V ty armnac j (ft*2) (br) (stu/hr-F-ft) (th/ft'3) (stu/lb-F) (atu/hr) (ft 3) tramarc= (c/Al'.75+T= sit = 1.142E+02

( . . . . . . . . ~ . . . . . . . . . . . . . . . . . . . . . . . . . ~ .............. ~.... ................................... ;

1 turuts 4.2TTE+03 1.667E-02 1. E 0E+00 1.436E+02 2.100E-01 1.364E+ % 2.316E+04 3.995E+03 l 3.973E*02 eir Welt ihtch. steet 4.000E+C1 4

.......................... .... ...... ......-~......~ ~-.....

i Tair car rho Cp h L Cp m (F) (ft) (ib/ft 3) (Stu/lb-f) (stu/hr-i-ft'2) tit) (stu/tb-F) (tb) ;

. . . . . . . . . . . . . . . . . . . . . . ~ . . . . . . . . . . . . . . . - - . . . . . . . . . . ~ . . ~ . .............................--......---.-....--

luPU15 1.040E+02 E.333E-02 7.nnns-02 2.400E-01 1.470E+00 2.000E+00 1.040E-01 0.C W +00 alpha f(*=.415) siot i=ett(f) F1= F2= F3= t4=

+ . . . . . . . ~ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ~ . . - - - 2.273E+02 3.991E+02 1.048E+02 8.345E-C1 i CALC 11ATED 3.449E-02 8.277E-02 1.178E 01 1.040E+02 i

i !

6 7 8 9 10 4

t (cin) fair twett (s=0) 1 2 3 4 5 ;

, ..........................................~..........~...~......--.~.----~-------....--~...--.--..---------------------------------------------------"- e i

0.000E+00. 1.04W +02 1.04M +02 1.040E +02 1.040E +02 1.040E*02 1.040E+02 1.040E*42 1.040*+02 1.040E+02 1.040E +02 1.060E-02 1.0+0E+02 .t, 1.000E

00 1.0444+02 1.040E+02 1.040E+02. 1.040E+02 1.040E

02 1.040E+02 1.040E+02 1.04M+02 ' 1.040E +02 1.040E +02 1.040E+02 1.640E+02-1.040E+02 1.040E*02 1.040E +02 1.040E+s2 - 1.040E+02 1.040E +02 1.040E +02 1.040E +G2 1.040E +02 i 2.000E +00 1.05E +02 1.040E+02 1.040E *02 i

i 1

4

+w, n.,-,-mm-v -. ee- ..s,eetrwu-w,,w-..%-,,a s. v.-w-g.-- ww-ens . m w.. w * --ww-*e='e< ~ womew+--ew w t w-+--<v-- -

"-we- w e. - w----+----++.$r-pfr-,--+r '=-a ---t-.w w. v e--. - e i rw .w- we v -t - - w t ----~~y#+w u e 99 ~-

~

CALC. NO: b ~ 7bIlb HEVISION: l B f:

MM1M) DATE _

lb CHFCKE h&ggy.p 73 9 MW PtMP ROOM UNIT 2/3 _

NSHEETEI- Q og g n 3.000E +00 1.053E +02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.0(CE+02 1.040E+02 1.040E+02 1.040E +02 1.040E+02 ~~.040E+02 1

4.000E+00 1.05M + 02 .040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 5.000E+00 1.057E +02 1.041E+02 1.040E+02 1.040E +02 1.040E+02 1.040E + 02 1.040E+02 1.040E+02 1.040E*02 1.040E+02 1.040E+02 1.040E+02 6.000E+00 1.059E+02 1.041E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E +02 1.04M +02 1.040E+02 1.040E+02 1.E 0E+02 1.040E+02 7.000E +00 1.060E+02 1.041E*02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+Et 1.040E+02 1.040E+02 1.040E+02 8.000E+00 1.061E+02 1.041E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E +02 1.040E+02 1.040E+02 1.MOE +02 9.000E+00 1.061E+02 1.042E+02 1.040E+02 1.040E + 02 1.040E+02 1.040E+02 1.04M +02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E +c2 1.000E*01 1.062E+02 1.042E*02 1.040E+02 1.040E*02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E +02 i 1.100E+01 1.062E+02 1.042E+02 1.040E*02 1.040E*02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E +02 1.040E+02 1.040E+02 1.200E +01 1.063E +02 1.042E +02 1.041E+02 1.040E+02 1.040E+02 1.04CE +02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02

1. 300E *01 1.063E+02 1.042E+02 1.041E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E +W 1.040E+02 1.400E+01 1.063E +02 1.042E +02 1.041E +02 1.040E+02 1.040E +02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.500E+01 1.063E+02 1.042E+02 1.041E*02 1.040E+02 1.040E+02 1.040E+02

040E+02

. 1.040E+02 1.040E+02 1.040E+C2 1.040E+02 1.040E+02 1.600E*01 1.064E+02 1.043E+02 1.041E+02 1.040E+02 1.040E+02 1.040E+02 1.040E +02 1.040E+02 1.040E+02 1.040E+02 1.040E +02 1.040E+02 1.700E+01 1.064E +02 1.043E+02 1.041E+02 1.040E+02 1.040E +02 1.040E+02 1.000E *02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.800E+01 1.064E+02 1.043E+02 1.041E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.900E*01 1.064E+02 1.043E+02 1.041E+02 1.040E+02 1.040E +02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E*02 2.000E +01 1.064E+02 1.043E +02 1.041E+02 1.040E+02 1.040E+02 1.040E*02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+C2 2.100E+01 1.064E+02 1.043E+02 1.041E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E*02 1.040E+02 1.040E+02 3.200E +01 1.065E+02 1.043E+02 1.041E+02 1.041E+02 1.040E +02 1.040E+02 1.040E+02 1.040E*02 1.040E+02 1.040E+02 1.040E+02 1.040E *02 3.300E+01 1.065E+02 1.r43E+02 1.041E*02 1.041E*02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.046E+02 1.040E+02 1.040E+02 1.040E+02 2.40')E +01 1.065E+02 1.044E+02 1.042E +02 1.041F*02 1.040E+02 1.040E+02 1.040G:42 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E *02 2.500E+01 1.065E+02 1.044E+02 1.042E +02 1.041E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.440E+02 1.040E +02 1.040E+02 1.040E+02 3.600E*01 1.065E+02 1.044E+02 1.042E +02 1.041E*02 1.040E+02 1.040E +02 1. 340E *02 1.040E+02 1.040E +02 1.040E +02 1.040E+02 1.040E*02

2. 700E +01 1.065E+02 1.044E+02 1.042E+02 1.041E+02 1.040E+02 1.040E+02 1.040E*02 1.040E+02 1.040E +02 1.040E+02 1.040E+02 1.040E+02 2.800E +01 1.065E+02 1.044E*02 1.042E+02 1.041E+02 1.040E +02 1.040E +02 1.040E 02 1.040E*02 1.040E+02 1.040E+02 1.040E +02 1.0c0E+02 2.900E+01 1.065E+02 1.044E+C2 1.04?t*02 1.041E 02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.040E+02 1.060E +02

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t accel ll 2C154 1500.00 1024.57 28M3 21 2CSSI 1500.00 1028.57 l 1024.37 l 28084 02 2CR$7 1500.00 20048.M 2CRS4 .1500.00 1024.If l

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9eble 9 eant.

teos f 101 Neat Oletpetten Carrected Greeker 8 tot 8 Lead (VA) Lead in (VA) 701 5 1/34 3M 300.00 135.M Tutti I/34'3M 300.00 142.67 TCfAL 600.00 290.03 2Leetriset fumeLe meet Of stsetten Carrected Greater s tag # Lead (vA) good in gya) 70127 2rf.0031 1 100.00 li.M Y0827 3xt 4031 3 100.00 4f.M 70327 2xt E 1 3 100.00 43. 0 7 % 27 2rf*t031 4 100.00 H.31 70fAL 600.00 193.31 som # 311 meet OfetpetIen careested Beneset a f ag 8 Lead (VA) Lead in (WA)

Y0108 IL M2 10.00 3.18 70308 3*M2 10.00 4.76 ft208 IL*M2 30.00 13.15 70608 2L 062 30.00. 15.10 20065.D 2L M2 2M.00 2M.00 300613 23 2L*062 282.00 282.00 fvfAL 632.00 590.19

.as ;; as tota; aee it; 't ,eSt 8 e' '

_ MG O ws 1( 3_ g fl9

} }' ,

,O f

/ -s . . > . . 9 TeDLe f tent.

Reen f 3108 kost 01stpetten Brineter 8 fee i Lead (y&)

70307 2NV 7377 *(Rese) 3 308 0003 *ttupefuemic) -

33N 27003 ages.it BM5 2Y006 itse.00 fOfAk 3914.12 lose f 30BA keet Dieteetten Brooker a f ee # Lead (va) 019101 2AN 135.00 l 817108 2006 IN.00 01P1h 2L 344 903.00 TOTAL 1216.tP3 i

Olesel tullefre poet Olofpetten Breesse 8 fee 8 Lees (Ya)

, 01P111 ILeite 3900.00 l 03P111 34 141 1900.00 ,

T0tAL 7000.00 1~

l tems # 310A nest Dielsstlen trestor # Tee f Lead (VA) i 3 102 8001 'ttNDCTuem1C) 31M Y001 3M1.13 70fAL 3361.13

=48 ;i ic' ved 6(;=fts 6440 8.el

. 6 fW (k p $$

h - I.Y /-h

/ .- v g' \

N.,dv,. b fem e 9 coni. .

team f $100 east Ofstpetten Breater 8 fag # toed (yA)

Bact Doct *(tasetussult) 2 304 G; 3499.M TOTAL M99.M i

i Raum i 303A seet 0ielast(en ;

l -

Brooker i fog 8 tead 0 4) l l

0F101 2AN 125.00 !

039108 3BM 140.03 l- DP1M h 421 903.00 DFiN 3k.545 965.00

! TCtAL 3119.00 l

l' '

l l Rose # 310C Neet Olstaatten j- Brooker i Tag i Lead (VA) t Beat 8003 'tguettuttaIC)

[- B4M 7906 232$.33 l Be# 7907 1050.00 l

70fAL 33M.33 l

l l

i l

l:

i i.

l I

t

- . . - . ~ . . - . . . . __ . . _ . _ , , .~

=As ;; i* ;,:0; 04+- tt; atty 400 *.+6 1 P A+i'r 15' W M,,,, S w I

/4 ' .i N(

4 v/

f '1*~~N s %).. .

4' fatta 9 eamt.

j Raum 8334 Neet Ottiestlen Carrected Brooker 8 . 740 0 Leed (VA) Lead fm (v6) i atN13*08 2L of" 1375.00 1960.71 !

30613* M 2L*036 135.00 1960.F1 3e0618*10_ E 034 asN.00 3063.03

800612 13 . &

0M 30m.00 2221.71 an0612*Et 3L*033 B.00 37.77 2008 M h 034 1375.00 773.rF 30006 10 3L 036 1375.00 MS.27 '

N005'11 & 037 3000.00 1441.54 30048*12 2L 039 i.

fata( 13944.00 96M.83 i and Weste- nest Of6festion terrested treeter i fee f Lead (VA) - Lead IR (VA) 3e0413+17 FT810Y - 234.00 140.31

asede.II- &*033. 3d.00 30.77 09Plel -I/3L 3 0.M 0.2 DSPSee I/ 34. 5 1000.00 1000. 2 DSPS47 t/3L*22 0.00 0.00 0$P348 3/3L tal 0.00 0.00 0$PW9- 2/3L*1M 0.00 0.00 DSPfle 1/3La31 0.00 0.00 09PM1 EP19 0.00 0.00 09P352 ILpt - 3007.41 -3007.41

-DSP353 t/SL*130 0.00 0.00 00P304 ILP13 30007.00 30007.00 BSPSS 3/3L18 0.00 0.2 -

99PN7 t/3L146 - 0.00- 0.00 S$P369 ILP1 3007.41 3007.01 totel 37393,aa 37223.M

.as :: is.;,ta. 4,4 s t . . ? g ., , ; , :. e,;, !

PM4W.<?r 1 '

/

,m. 7J- // 6

,4. 2 f*/ * *s a .: . f Taste 9 cent.

9' Cetr$L Dwllstre meet 3fsipetten SPeekse f Tee f Lead (ya) 300612.!7 t/3uA93aA 34.00 300612*25 t/tatMaA 34.00 09#M4 he ?0 0.00 0$P544 h?0 0.00 DSf3W LO101 0.00 0$MF1 E* f0 603.M 0$MM A P6 0.00 DSM41 he ?0 643.30 D9 Mat 3/36076 0.00 dim 5 2/k 334 25.00 09MM t/h th 643.30 DSM91 h * ?0 443.30 DSM98 L0301 643.30 OSNf3 h.D B.0c 09MM h = 73 25.00 .

09MM h

T3 25.00 0$MM h FI 25.00 Tetel 2413.50 i

contelement- east Ofeipetien treeter # Tea # Lees tva) 0581N IL711 4255.M 997110 IL914 M79.53 DSpits 2LM 655.64 M0612 31 70Z7001 0 M .M 70Z7011 0 Totel 1&l90.M l

4.6 ,; .. .sia. co it; 's, . *t 8..; ~

gg4 p g )4

-3 p, , y y . .' 4 (2- v $

+ 2 lf4CkW

'este 9 eeet.

70' Centrol M isf 4 West Olelpetlen Corrected treeter 8 fee f Lead (VA) Loed fn (va) 380618 29 801 923 0.00 0.00 20068 27 2/3L d6 2000.00

20065.M 2000.00 uow 0.00 0.00 DW111 2514 0.00 0.00 Offitt 2A00 0.00 p$e114 0.00 2011 0.00 0.00 0W342 410 0.00 0.00' 0$p44 2A09 0.00 0.00 0$p448 ILpt 4200.00 6200.00 2/3e0F2 1 213L*433 N.00 A 2/3 eon 4 till.?O 2/3nv9de8A44' 10.00 A 557,85 1/3e03 9 2/3L446A&4 30.00 A 164.55 2/3e0T2 10 2/3L*444A4a 15.00 A $34. M Tetet 10443.08 508 centret M nei g nest afstpetteri preeaer #

fes i Leed (VA) 09MF5 1 alp 03 0.00 Om,47 2LPt3 4200.00 fatet 4200.00

_- .. - .. .-._. . .. _ . . . . .-- _~ .. . . _ - - - _ . ~ -

.* .. - 3.,. se . st.. t. .... .... p g 7 3

f

1. 77 u.

f .i f l A--i../,,.>1 2- l Tette 9 cet.

turtfee twildig heat 31stantlen koster a fee # Lead (vs)

} 3EN11 03 h* 009 3300.00 M8611 06 f837019 100.00 300611 00 h.906 10.00 300611 06 h 006 300.00 300611'07 h 100 10.00 4

3B0611 00 h 013 10.00 200611 09 h*199 10.00 200611 10 h 016 600.00 3e0611 11 IL195 300.00 3e0611 13 3L339 350.00 340611=15 IL510 10.00 200611+16 h*006 M0.00 l 998117 3010 0.00 09331 2A05 0.00 I- DW888 3003 0.00 -

09#333 3 07 0.00 09334 5 11 0.00 090330 mit 0.00 <

09#336 3013 0.00 09 51 3rrigae 337, P337 00.M 99P330 35710603 00.39 019039 h4 00.M OSPOO 31P10606, P076 to.M 999337 3 14 0.00 OleDa . 3xP9037019 00.31 09853 3xp!0mE336 00.M 09e236 A*U N.M 0$M70 ofWft006 0.00 a

00Mf7 3/3LO67 1375.00 4

00M00 IL*006 0.00 -

00M99 e98001, n M E005 0.00 00Mee 2*L330 0.00 DOMA3 3A07 0.00 3607- 37010 1500.06 j :IT013 37013- 15000.00

fetet 23647.45 5

a.* .. ....sico; s e e -- 6t;= g. .eo; 4.i:

{ W l% @ .f~

ll t-58

/

\

1 /s1. ~? 3 / o I

/hM

~

l

/?~ */ r , . .l ~

i l

! fatte 9 samt.

Demetretten Swlldi g West Ofelpetter l

Breaker f fag # Lead (yA)

HP101 1A01 #1 0.M i H8108 2001 0.00 l D4 pin - 2003 0.M

DW1M 2009' O.00 l- 9tP195 2A02 F1 - 0.M 9tP107 2LM &all.M DW113 3008 0.00 steile 2L710 3e47.73

l. striil h*316 0.00 l PrtM t0M 0.00 i

MP341- 2/k 303 0.00 L DW843 2/R*383 0.00 HP358 neus - 0.00 I Y11817 Alf 7057 1 100.M l~

L Tetel 8003.41 l

(~ . lef ty testysemt DWitelg meet Stat 0etten treasse f Te8 f Lead (va) pp110 3A00 499.M D9PM1 taug M1.M j, 09MM 3LPt 4300.00 l CSMN 3677 6300.M l

i Tetet 366144.M i

i l

h M. 4 lt. N *

)i i+ . ,3-.

AewY

- 4 ., *^ h A .

Table 9 tont.

Roau #263 teet O!sipett e Correct ed Br**ker 8 fog 8 Lees (va) toma in (va) 20071 1 2LD52 20.00

1093.12 29071 2 2LD51 44.00 2186.23 20071 3 2LOM 5.00 273.28 20071 4 2LD53 10.00 W.%

20071 5 2LD54 20.00 1093.12 20071 6 2LD57 10.00 W.M 20071 7 2uJI 00510 5.00 273.28 20071 8 2LD54 5.00 273.28 29071 10 2/2L424 2.00 109.31 20071 12 2WJi 0051A 5.00 273.2%

20071 13 2uJi 0051C 2 .00 3279.35 20071 14 2WJi 0051B 5.00 273.23 20071 15 2xt2cee0051 10.00 544.%

20071 17 2XC3JIS411 10.00 W.M 2/30C72*3 0xt2CITB26 10.00 W.M

. Totst 11840.32 toon s232 neat otsipett.m Breeter 8 Tag 8 Loed (VA) 2Y005 20060 30009.32 2006904 20083 10500.00 Total 40509.32 k m #307A Neet Olaipetion Bretter 8 fog 8 Load (VA) 2D507 2Y005 3000.00 ietat 3000.00 1 _ . _ _ . . _ _ _ _ _ . . . . . . . _ _ . . . . . . . . . . . . . . .. . .

=. ~ ~ .- -

. - - . . . . .., , _ , _ , . i H f $) so m$

40 i

fle ) 5 ' / ' .'

I Aw/

/14 . ad %

teos #107 mest Distpetten treeter f fee f Lead (VA)

D701 ZYO11 1500.00 fetet 1500.00 4

.. . . . . . . 1 If Ed T #d. l. *J AM r

f

k. ~}] /* b -

A/ ;

1 kb i *se . . .

i fate 7 cent.

r tmorter Lees meet 01elsetim (Wectores) tworter Leses (total Dr Poes) em 9 YW1 7003 YNI i 734 70m 7m7 foget !

. tas.H m .00 930.00 iM.m 130.00 31M.00 429.00 1H00.00 1M21.M h 145M.00 12283.00 40Mt.00 '

101.00 300.00 500.00 r

600.00 l Vi 100.00 100.00 100.00

?

100.00 600.00 !

311.00 10.00 *0.00 30.00 30.00 00.00 '

04 100.00 t 100.00 ?

3108 3eM.it 150.00 . M14.11 5

3100 1060.00 TOTAL 17000.00 19M1.00 I?ut.it 13443.00 1050.00 10$0 67076.12 'e t

L r

l t

I 5

k

+

m

. s.. .... e. ...; ...

g

/h a

))- F b C: - /

A&I<~~f 2-feste 9 cent.

laverter nest Stolpetfon Leed Pecter i

YD01 7004 7003 7004 Y006" T907" feten Vnfestereal 17030.C0 19M1.00 i?Mt.12 18683.00 1890.00 1230.00

.ses in (va) -

Invoeter Vetteee 105.C0 105.00 105.00 100.00 105.00 105.00 (vette)

!nverter twarent 115.00 133.00 101.00 82.00 10.00 10.00 (asse)

Inverter eewer 12075.00 12010.00 10605.00 9610.00 1050.00 1CSC.00 usage in (VA)

Inverter Effteney

0. 73 0. 73 0. F3 0.73 0.00 0.00 Caractes Irwrter 0013.47 9350.36 7740.00 4246.67 0.a0 0.00 Lead 'n (VA)

Inveeter Lead-

' Correstjanvalue' O.II 0.68 0.44- 0.50 1.00 1.00

- trwrter seet Ofstpetten (VA) 3461.13 3499 M 30M.13 D25.33 1950.00 10$0.00

Invoetoe (fflency celeuteted es per 0033 955 3 1 peregraan 6.6.2.6 to The enty teses en tnese invertece le ramme thersfere att of there steedPr state

_ current le aanvertee Inte heet.

e'

. _ . , . . . _ . . . - . - - . . -. _ .. . -... . . , _ . . . . - . . . ~_

t

.$.4 ; yev is,- 4. -

.. -2 .... ..

9 %< k O N D y}

i h . N /^[

.,#.8

}

$v/ i fhod ' yo ; . ,$

i r

Table 9 seret.' ;

leverter teede (tetel W

ten) ,

team # t001 Tact 70C3 Y0M 7004 Y007 fetal ,

i f

134.00 641.60 643.N M.M 65.41 1%4.31 I

339.00 8119.M 8MI.33 G71.e4 4153.77 N310.90 t

101.00 199.34 143.47 296.33 ;

W1 11.79 47.M 4.5 30.36 195.52 ;

311.00 5.18 4.74 13.15 15.10 N.19 {

C4 0.00 0.00 i

3084 1214.00 j 303A 2119.00 &

31M 3Mt.13 3341.13 310c DIS.33 1990.00 3375.13 31GB MSt.M 3459.M 0teset 7000.00 3464.13 1054.00 .3914.13 j 3105 7549.73 - Mtc.00 1990.00 1990.00 64497.17 :

70Tak 123?5.C4 18768.44 k

5 D

i

[

l' l

l . _ . . _ _

. _ _ _ . .. . . - . . - - . - ~. . , - - - - . . -

?Wm% U Y W *

~ Q Y.

e

/h.23-t/6 l

-v / j py 6. ,. / ' ,:

?

fatte 9 cent.- [

poet Olsipstion 5aumstlen fotsts

-t team 8

}

228 10515.03 c'.

r$ 1. f, j 229 63470.19 -*

I[ *

,, J 101 296.03' s Electrical fmts 173.52 311 590.19

{

304A 1214.00 f i

302A 2119.00 [

t 310A 3241.13 l 310C 3375.33 j

'310e 3459.66 i Oieset 7000.00 e

310s 3914.12 ;

234 9664.42 and weste 37223.90 9' Contrel.Switd!ns 2613.50 t

- Contairunent twiletrg 14590.M e

70' controt tulleing' 10&&3.88 .

50' Control Building 4200.00 furoine Battding. 22447.45 Penetration switdine 80c3.41 .

I tafty feuipment Switding 278642.04 .

264 11860.32 !

i 232 40509.32 307A 3000.00 f 107 1500.00 I

. -. . - . - . , . - . . . - - . . . _ . - . . ---.=.-.--,. - . . - - . . , . , .

~ . - . - _ - . _ _ - -_ - - . . . - - . - -

1 kTTWMM & Pkqy lw l DC' H0 (13) From:L.TONEE RAMOS at NESL4 3/15/90 3:09PM (1772 bytes: 30 in) I To: -ILYA SHLAFMAN at NESL3, AMBROSIO MATIONG

- cc:- RICK ALLEN *,- NESL3,- DENNIS EVANS at NESL3', ALLEN THIEL, HARRY GUPJ ALA , .

- j

.-TONEE.RAMOS,-ALAN KANEKO

Subject:

STATION' BLACKOUT-' LIGHTING LOAD FOR DAC ROOMS UNITS 2/3 ';

- ------------------------------ Message contents ------------------------------- ,

Ilya, Please see below-revised info on SBO lighting loads based on: additional info' gathered on the-3/14/90 meeting. Data shown are for'"The'first 90 minutes /After the first 90 minutes".~ Data for the control room area are'for Units 2 & 3 and is based on~the most desirable alternative of

. cross-tieing Unit 2 & 3 lighting panels 2LP35 and 3LP35 '

within the first hour.

Tonee 3/15/90

' ALLEN, IN-ORDER-TO COMPLETE THE CALCULATION FOR LOSS OF VENTILATION ^

IN THE DAC (DOMINANT AREAS OF CONCERN) DURING UNIT 2 BLACKOUT , I NEED TO KNOW LIGHTING LOAD FOR THE FOLLOWING AREAS:

~

1. Control'Rocm Area,_ Unit 2/3 - 5000 watts / 4850 watts--

2. Control Room Cabinet Area (Unit 2 only) - 422W/72W 3.-Battery Room EL.50 - None

'4. 1251VDC Distribution Room EL.50 - 24 watts / 24 watts cach !

for Rooms 2A, 2B, 2C, & 2D 5.- ESF Switchgear~ Room - 244W/144W each for'Rms. 2A & 2B PLEASE PROVIDE THE REQUESTED INFO NOT LATER THAN 3/12/90 TO MAINTAIN BLACKOUT SCHEDULE.

IF YOU:HAVE ANY QUESTIONS, PLEASE CALL ME AT PAX 51331.

ILYA L

L ll p

j.

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REVISION:

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.Un 2 StM5 BATE-- ii D CHECKE Ykg py4 CfW "4MP Roopt Duti 2/3

I

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2.190E+02 1.074E+02 1.052E*02 1.050E+02 1.04SE*02 1.046E+02 1.045E+02 1.043E +02 1.042E+02 1.042E+02 1.041E <J . 1.041E+02 1.041E+02 3.200E+02 1.074E*02 1.052E+02 1.050E+02 1.048E+02 1.04M +02 1.045E+02 1.04 M +02 1.042E+02 1.042E+02 1.041E.92 1.041E+02 1.041E+02 2.210E+02 1.OT4E+02 1.052E *02 1.050E+02 1.048E+02 1.046E+02 1.045E+02 1.04M +02 1.043E+02 1.042E+02 1.041E+02 1.041E+02 1.041E+02 2.220E+02 1.074E+02 1.052E+02 1.050E+02 1.048E+02 1.046E+02 1.045E+02 1.043E+02 1.04M+02 1.042E*02 1.041E+02 1.041E+02 1.041E+02 2.230E+02 1.074E *02 1.052E+02 1.050*+02 1.048E+02 1.04M +02 1.045E +02 1.0+ M +02 1.043E+02 1.042E+02 1.041E+c2 1.041E+02 1.041E+02 2.240E+02 1.074E+02 1.052E+02 1.050E+02 1.04M*02 1.046E+02 1.045E+02 1.04M+02 1.04M+02 1.042E+02 1.041E+02 1.041E+02 1.041t+02 2.250E+02 1.074E +02 1.052E+02 1.050Z+02 1.048E+02 1.046E+02 1.045E+02 1.04 M +02 1.04M+02 1.042E+02 1.041E+02 1.041E+02 1.041E+02 2.260F+02 1.074t*02 1.052E+02 1.050E*02 1.048E+02 1.04M +02 1.045E + 02 1.044E+02 1.04M +02 1.042E+02 1.041E+02 1.041E+02 1.041E+02 2.270E+02 1.074E+02 1.052E+02 1.050E+02 1.048E+02 1.04M*02 1.045E+02 1.044E+02 1.04M+02 1.042E+02 1.041E+02 1.041E+02 1.041E+02 2.280E+02 1.074E+02 1.052E+02 1.050E+02 1.048E+02 1.046E+02 1.045E+02 1.044E+02 1.04M+02 1.042E+02 1.04tE*02 1.041E+02 1 041E+02 2.290E*02 1.074E+02 1.052E+02 1.050E+02 1.04Ed*02 1.046E+02 1.045E+02 1.044E+02 1.04M+02 1.042E+02 1.041E+02 1.041E+02 1.041E+02 1.074E+02 1.052E*02 1.050E+02 1.048E+02 1.04M+02 1.045E*02 1.044E+02 1.04M +02 1.042E402 1.041E+02 1.041E+02 1.041E+02 2.300E+02 1.0T4E+02 1.052E+02 1 A50E+02 1.048E+02 1.04M + 02 1.045E+02 1.044E+02 1.04 M +02 1.042E+02 1.041E+02 1.041E+02 1.041E+02 2.310E+02 2.320E+02 1.074E+02 1.052E+02 1.:f50E+02 1.048E+02 1.04M+02 1.045E+02 1.044E+02 1.043E+02 1.042E+02 1.041E+02 1.041E+02 1.0411+02 2.330E+02 1.074E+02 1.052E

02 1.050E+02 1.048E+02 1.046E+02 1.045E+02 1.044E+c2 1.043E+02 1.04?E+02 1.041E*02 1.041E+02 1.041E+02 3.340E+02 1.074E *02 1.052E*02 1.05dE +02 1.048E+02 1.04M +02 1.045E+02 1.044E+02 1.OsM +02 1.042E +02 1.041E +02 1.041E+02 1.0.1E+02 2.350E*02 1.074E*02 1.052E*02 1."t5M +02 1.048E *02 1.04M+02 1.045E+02 1 044E+02 1.04M +02 1.042E+02 1.041E+02 1.041E+02 1.041E+02 1.074E +02 1.053E +02 1.%0E +02 1.048E+02 1.046E+02 1.045E+02 1.044E+02 1,04M+02 1.042E+02 1.041E+02 1.041E+02 1.041E*02 3.360E+02 1.053E+02 1.050E+02 1.048E+02 1.046E+02 1.045E+02 1.044E+02 1.04M+02 1.042E+02 1.041E+02 1.041E+02 1.041E+02 2.370E+02 1.074E+0J 1.074E+02 1.053E*02 1.050F+02 1.048E+02 1.046E+02 1.045E+02 1.044E+C2 1.04M+02 1.042E+02 1.041E+02 1.041E+62 1.041E+02 2.380E*02 1.074E+02 1.050E+02 1.048E*02 1.046E+02 1.045E+02 1.044E+02 1.04M+02 1.042E+02 1.042E+02 1.041E+02 1.041E+02 2.390E+02 1.053E

02 1.04M +02 1.046E+02 1.045E+02 1.044E+02 1.04M+02 1.042E+02 1.042E+02 1.041E+02 1.041E+02 2.600E+02 1.074E+02 1.05M+02 1.050E+02

i shttt9.M 0er E s.ttts (WGlhttAING otPattMthi CALCULATION SHEET ,

Room Temperature Response During I susJtet : Station Blackout calc wo. M-7 3-116 arv. 1

{

J.o.no. 6 m maot av: 1.Shla fman eatt: 5-4-90 caterto av 2- cart : F23-fo 8.6 CONTROL ROOM CABINET AREA (ROOM #229) ,

f Room Heat Transfer Area (ref.1) !

t Walls Areas : i

+

East wall- 2.5 ft concrete ; Ag.,,,,it= 1650 ft 2 UE.v. = . 2 3 5 ( .te t . 9 i North wall-1" gypsum plaster; A ,rgn,,tt= 1137.4 ft i U ,w,=. 2 5 see !

belo:

West wall -3/4 " gypsum plas er; Aw,,,,,tt= 536 ft 2 -

Uw,w, = . 2 7 "

f>

South wt.11- 3 '4. " gypsum plaster; Asouth wett= 676.91 ft 2 Us,w, = . 2 7 "

f Ceiling.(concrete slab): l 1 f t concrete -Ac.itin,= 3611.3 ft 2 Uce t,= . 3 6 (Ref.9) {

i Aroru= 1650 + 1137.4 + 536 + 676.9 + 3'611.3 = 7611 ft f "U" factors for: i 3/4" (1") gypsum plaster with 6" air space: [ i Ri R2 !

1. Inside film 0.68 !

2. Gypsum plaster 3/4"(1") 0.64- (0.90) ;

3. Non-reflect ai:* space 1.014. l

4. Gypsum plaster 3/4 (1") 0.64 (0.90) 4

5. Inside tilm 0.68 !

3.65 (4.17) f i

U=1/R; U =i 1/ 3. 65 = 0. 2 7 BTU /hr ft2 y l U 2 = 1/4.17 = ' O. 2 3 Btu /hr f 2t y f Due to-the fact that walls-and floor composition are dif ferent, it.iI required to determine the equivalent thickness of concrete: !

i Ag,w,Ug,w,= 1650 x 0. 2 3 5 = 3 8 8 !

A ,w,U ,w,= 1137 x 0.25 = 284 [

As.w.Us.w.= 677 x 0. 27 = 18 3 {

. Aw,w,Uw w,= 536_x .27 = 145 [

i l Aegit,Ucgit,=3611 x 0.36 = 1300 l AUorg=2300 t !

i sCE CD 397 8 Riv'10/84 (cW) ,

L

I letti bI"M 08 O latitt f 50GlattA 08 ftPatt> tat CALCULATION SHEET Room Temperature Response During susstet Ctation Blackout cuc no. M-7 3-116_ ety.- 1 s.o.wo. mi _ ius st : I . shlafmRD eats t 5-4-90 catesto er U Loatt N ' N## c l

l Uo= t AUmin/Aoig t t =

2300/7611 =.302 SAY 0.3 Btu /hr F ft' f

- Ut o." (R i msitt+ Rio ecmc.+ R : og)d a ( 0.68 + REgo,cac,+ 0. 68 ) *'=0. 3 0 Ri o.cowe.= 1/0.3 - 0.68 - 0.68 m 1.95 i No conc = 1/R o.cowe,=0. 51 Btu /hr F f t i 3

Xcag,=1.04 Btu /hr F ft 1# t io= No.c,/No, cone,=1. 04/0 51= 2 02 f t Roon Volume (ref.1) :

Vogt: trays =197.1 f t 3 Vuwcan sup.=100 ft 3 V4fgovet=3341.1 ft 3 V gt, pain,=7898.7 ft 3 Voin t = 11456.O ft 3 3

Vaa=68 638 f t V.g t m u,,g = 68638 - 11456 = $7092 ft 3

-Naat Gain :

Total heat dissipated to the room is equal to :

Qtoin= Qcasingt anta+ Qcta.an pantL/2 (assumption 3.10)

Qtotn =.(63470.19 vt + 10000 wt/2) x 3.413 Btu /hr wt =

=

233688.11 Btu /hr (ref. Atth.2)

Initini room ambient tearerature = 15 dog F; Wall average temp.,.T,,,gt,,,,= (T u,i.o+ Tu %)/2 T,.g g ,,,,a (75+ 95)/2 s 85 F l

Samole Calculation l

L From Equations 1 and 2, at i = 1 minute

$ct OD 397 0 aty 1o/84 (cW

i tatti M *llCf k settil t0GlttttihG DtPatt*tti ,

CALCULATION SHEET !

Room Temperature Response During suostet : Station Biagiout CALC 40. M - 7 3 - I l 6_. RIV. 1 ,

s.o.no, mt wt et: L.Shlaiman_eatt s,M-4-90 cnicat0 et! '-

"CJ catt _P23 *is ;

i T.ir.i.i = F i/F2 + T ic,s.o where l F, = Q A i = 233688/60 = 3894.8 Btu / min, and F3" seirVeir epeir =

(0.07)(57092)(0.24) = 959.14 Btu /deg F l

i T,ir,s., = 3894.8/959.14 + 75 = 79.06 deg F At i = 2 minutes:

T,ir,s.: =

(F i - F (T,ir,i.i 3 - T.) )/ F + T, t e , i .3 , where F3 = h ir Ao i = 1. 4 7 x 7 611 x 1/ 60 = 18 6. 5 Btu /deg F T,ir,s.: = (3894.8 - 186.5(79.06 - 85)}/959.14+ 79.06 = 84.27 degr Bi =hax/k= 1.47x 0.0833/1.04= 0.117 say 0.12 F =kat/pcax2= (1.04 x 1/60)/143.58 x 0.21 x 0.08338=

= 0.0828 Stability criterion requires that the coefficient for T,g.5 in equation be creater than or equal to zero 1-2B i F, - 2F 2 0 or F. ( 1+ iB ) 5 1/2 or F, 5 1/2 (1/1 + 0.12) 5 0.45 or oat /ax2 5 0.45 ; a = k/pc 2 2 a t 5 .04 5 x ax /o or at 5 0. 4 5x0. 08 3 3 x14 3. 58x0. 21/1. 04 ats 0.0905 hr (5.4 min) ,

therefore, at=1 minute satisfies the stability criterion.

To calculate the wall temporar.tra and interior " node" temperature we use equations 3 and 5 from generki calculations.

i=2 min, To,2= 2 x 0.0828(0.12 x 79.06 + 85) +

+

(1 ' x 0.0828 x 0.12 - 2 x 0.0828) x 80 = 84.73 from equation 5, F4 = 1- 2F = 1 - 2 x 0.0828 = 0.8344 T i.2 = 0.0828 x (85 + 84.81) + 0.08344 x 85= 84,98 F l T 2.2= 0.0828 x (85 + 85) + 0.08344 x 85 = 85 F ETC...

For this iterative calculations, the equations 1,2,3 and 5 were entere into LOTUS program and the results are tabulated on pages 73 thru 74

$ct CD 397 8 Rtv iO/84 (cV)

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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............. Steedr State Temp.

A dt k rho Cp 0 Y tsy manec (ft'2) (br) (S taathr- F- f t ) (tb/ft 3) (Stu/ t t>-F) (Otta/hr) (h "3) Tremerce (S/A)'.75+!=et t. 1.49eE +42 i ........................................................................................... .

I luPU15 T.611E+03 1.66FE -02 1.060E *00 1.436E+02 2.100E-41 2.337E+05 5.709E+04 4.80E*06 T.871E *42

! etr wet t ThlCh. steel 2.WE +41 Te6r cst the Cp h L Cp n (F) (ft) (th/ft 3) (stu/ttrF) (Stu/hr-F ft*2) (ft) (Ottattlef) (tb)

IePUTS T.50nE+01 8.333E-02 7.000E-02 2.400E-01 1.470E+00 2.000E+00 1.040E-01 0.00eE +00 i

I- elphe F(*=.415) Biot Tuot t (F ) F1= F2= f3= 86=

............. ....... ............................. 3.8%E+03 9.591E+02 1.865E+02 8.365E-01

CALDAATED 3.449E-02 8.2T7E-02 1.1TBE-01 8.500E +01 1

i' t (ein) Teir twell (s=0) 1 2 3 4 5 6 T 8 9 10

i. ............................................._.............._....................................................... .................................. ....................

4 0.000E +00 7.500E +01 8.500E+01 8.500E+01 8.500E *01 8.500E *01 8.500E +01 8.500E +01 8.500E *01 8.500E+01 8.500E+01 8.580E *01 8.500E+01 1.000E+00 T.906E *01 8.481E+01 8.500E *01 8.500E+01 8.500E *01 8.500E+01 8.500E +01 8.500E +01 8.500E +01 8.500E*01 8.500E*01 8.500E +01 l

2.000E +00 8.426t+01 8.473E*01 8.498E*01 8.500E*01 8.500E+01 S.500E+01 8.500E+01 8.500E*01 8.500E*01 8.500E*01 8.500E *01 8.500E*01 4

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CALCULATION SHEET Room Temperature Response During suostet : Station Blackout cAtc wo. M-73-116 elv. 1 J.o.wo. 6 m maos av I . Shla fman catt 5-4-90 caterto svi catt: P U 4d 8.7 CONTROL ROOM UNIT 2/3 Roon Heat Tranofer Area s ceiling:

Avant 20 cia.am.cgstsuo= 13 00 f t I (ref.9) 2 2 Acts.am. conto.= 3 00 f t x 2 = 600 ft (ref. )

I Aeotat=1300 + 600 = 1900 ft Room Volumet Volume of control Room including suspended ceiling:

3 Yete.am=1300 x 18 = 23400 ft Volume of Control Room Corridor 3

Vcta.nm.ccman.vult 20= 600 x 7 = 4200 ft V,ogat nume= 23400 + 4200 = 27600 ft 3 Assume that volume of electrical cabinets', cable trays and a/c ducts equa to 10% of total volume, therefore the total net volume is equal to:

V,gt a x= 27600 x 0.9 = 24840 ft3 Heat Gaint L Q%i,= 250 Btu /hr person x 4 people = 1000 Btu /hr (ref. 12)

{

Qt i ent e = 5000 wt x 3.413 Btu /hr wt = 17065 Btu /hr (ref. Atth 3)

2e t ec t . = 10515.03 wt x 3.413 Btu /hr wt x 2 =

=

71775.4 Btu /hr-(ref.Att. 2 for Unit 2&3' sides)

Q i n,t= 1000 + 17065 + 71775 = 89840 say 90000 Btu /hr Initial room ambient temperature = 75 dog F Initial ceiling surface temperature =75 dag F set co 397.s at< 10/a4 tev)

..iit b & , 4 i.iit. :

thalht!Ethe etpant> tut l

CALCULATION SHEET !

Room Temperature Response During suesttt t Station Jllackout Catt no. M-7 3 -116. arv. 1 c.no pit we st: LShlafman catt: 5-4-9 0 t>tetto st' ? Ocati s f23 YD g, amole calculation From Equations 1 and 2, at i = 1 minute T,ir,s.3 = Fi /F + T,ir,s.o wheret l l

Fi = Qai = 90000/60 = 1500 Btu / min, and F2" *strV at,c p ir = (0.07)(24840)(0.24) = 417.31 Btu /deg F

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T,i,,t.i = 1500/417.31 + 'S = 78.59 dog F l

At i = 2 minutes: .

l T,ir,s.: = (T - F (T,t 3 e, s.3 -

T.) ) / F + T,se,s.i, wnere F3 = h,i, Aai = 1.47 x 1900 x 1/60 = 46.55 Btu /deg F T,ir,;.: = (598.66 - 26.78(78.59 - 75))/417.31+ 78.59 = 81.8 degF Bi = hex /k= 1.47x 0.0833/1.04= 0.117 = 0.12 ;

F. =kat/pcax 2 = ( 1. 0'4 x 1/60)/143.58 x 0.21 x 0.08332,

= 0.0828 Stability criterion requires that the coefficient'for T.,ji in equation )

be creater than or equal to zero 1-2Bi F, - 2F 2 0 or

, i F. ( 1 + i B ) 5 1/2 or F, 5 1/2 (1/1 + 0.12) 5 0.45 or aat/ax2 5 0.45 ; a = k/pc

' 2 at 5 .045 x ax /a or at 5 0.45x0.0833 x143.58xo.21/1.04 2 ats 0.0905 hr (5.4 min) ,

therefore, at=1 minute satisfies the stability criterion.

. To calculate the wall temperature and interior " node" temparature we use

equations 3 arid 5 from general calculations.

4 i=2 min, To.2= 2'x 0.0828(0.12 x 78.59 + 75) +

+ ( 1 - 2 ); 0.0828 x 0.12 - 2 x 0.0828) x 75= 75.07 F from equation 5, F 5

= 1- 2 F, = 1 - 2 x 0. 08 2 8 = 0. 8 3 4 4 i

T 1.2 = 0.0828 x (75 + 75) + 0.08344 x 75 = 75 F l

_,_sta oo'397.s _ety sofe4 <cwy _ _ _ . _ ,____ , _ _ _ _ _ _ _ _, _____

(DCICII#Ib0 SIO""I"t"t s ut EI'3Ob'"""

CALCULATION SHEET Room Tempera.ure Response During susstet: Station Blackout cAle no. M-73-116 aav. 1 J.o.no.. Ant.we er I . Sh14fran_eatt : 5-4-90 cascato at t I eats tO U

70 T.g=

2 0.0828 x (75 + 75) + 0.08344 x 75 = 75 F ETC...

For this iterative calculations, the equations 1,2,3 and 5 were entere into. LOTUS program and the results are tabulated on pages go thru (J .

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. 5.000E+01 1.135E+02 8.240E+01 T.93M +01 T.T33E+01 T.614E+01 T.551E+01 T.521E+01 l 5.100E+01 1.136E+02 8.250E+01 T.942E+01 T.739E+01 7.619E+01 T.554E+01 T.523E*01 T.509E*01 T.50M *01 7.501E*01 T.500E +01 T.50M *01 5.20DE+01 1.138E+02 8.259t+01 T.950E+01 T.T46E+01 T.624E*01 7.557E +01 T.524E +01 T.509E 41 T.503E+01 T.501E+01 T.500E+01 T.500E+01 5.300E+01 1.139E +02 8.269E+01 T.959E+01 T.753E +01 T.628E+01 T.560E *01 T.526E*01 T.510E 41 T.504E+01 T.501E*01 T.500E41 T.500E +01 5.400E+01 1.140E+02 8.278E 4 1 T.968E+01 7.760E+01 T.633E+01 F.56M +01 T.52TE+01 T.511E+01 T.504E+01 T.501E41 T.500E+01 T.500E +01 5.500E+01 1.141E+02 8.288E+01 T.976E*01 7.766E+01 T.638E*01 7.565E*01 T.529E*01 7.512E*01 7.504E +01 T.501E+01 T.500E 41 7.504 *01 5.600E+01 1.142E+02 8.297E+01 7.965E+01 T. TT3E.01 7.642E+01 T.568E*01 T.530E *01 7.512E+01 T.505E+01 T.502E+01 T.501E*01 T.500E +et j i

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sittib*.Mce Eisattis (DGlitttibG DtP AlfMWT CALCULATION SHEET Room Temperature Response During sus.tci t Station Blackout (Att ko. M-7 3-116 trv. 1 J.o.wo, atti we tf 8 Ljhlafnan DAtt t 5-4-89 chtute af1 J'.catt t .P 23 7*'

Attachments:

l'. Size-of computer room cabinets

2. Letter from A.P. Grande to A.D. Sistos,

Subject:

Station Blackou Scenario. Electrical. Heat Loads. SONGS 1,2 & 3 dated 4/10/89

3. E-mail from T.Ramos to Ilya Shlafman, subject i Station Blackout Lihgting Load for DAC Rooms Units 2/3.

l sCE CD 397 8 /10/64 (CV) m

o <10/69 09 02 C 714 402 8303 SONCO --- cat Cit Ev' r.03 2 002 n

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SUBJECT:

Station Blackout Scenario !

Electrical Equipment Heat Loads !

San Onofre Nuclear Generating Station, Units 1, 2&3 ,

j

.In response to your, request of February 22, 1989, attached are the tabulations of heat _ loads for DC powered electrical souipment under station blackout :

conditions by area for Unit 1 (Table 8).and Unit 2 (Table 9). DC and inverter i electrical loads were directly_ _ converted to heat. For. distribution panels, [

the heat dissipation for each panel load was allocated -in_ proportion to its !

circuit breaker rating. I i

b Preliminary copies of _this data were provided to F. D. Santa Ana on March 13, i 1989. If you have any questions, please call me at PAX 2848).

+

/ l A. P. GRANDE 5

APGrande:06209 L r

~t ec: M. L. Merlo -i A. T. Kaneko- I M. A. Wharton-B. Carlise [

D. L. Evans i A. J. Thiel I

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