ML20133B736

Ampacity Derating Factors for Thermo-Lag 330-1

ML20133B736
Person / Time
Site:	River Bend
Issue date:	09/10/1996
From:	Bhatia A, Dogan T ENTERGY OPERATIONS, INC.
To:
Shared Package
ML20133B727	List: ML20133B736 ML20133B739 RBG-43571, Provides Responses to 961016 RAI Re Ampacity Derating Including Supporting Draft Calculations G13.18.14.0-178,Rev 0, Ampacity Derating Factors for Thermo-Lag 330-1 & E-128, Rev 1, Ampacity Verification....Fire Protection Barrier
References
G13.18.14.0-178, G13.18.14.0-178-R, G13.18.14.0-178-R00, NUDOCS 9701060117
Download: ML20133B736 (98)

Text

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1. G8U CALCULAT10e outsegn:

y ~ CALCULATION TITLE PAGE -

cis.is.14.0-17s, nev. o

's ENGINEERING DEPARTMENT ENTERGY PAGE 1 OF 45

2. CALCULAT104 TITLE: % Darstlag Fetters for Therme tag 3361 3. SUPERSEDES:

Enclosurs:

4. OBJECTIVE OF CALCULATict To estabilah the Ampecity Dereting Facters (ADF) for Therme tag 3301 enclosures et River Send Station i

J

. 5. CALCULATION METHOD l ASSUMPTIONS: See Sections 2.0 and 3.0 i

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8. SOURCES OF DATAJEQUATIONS (REFERENCESk See Section 8.8.

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7. CONCLUSIONS: See Section 5.0.

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8. REASON FOR REVISION OF APPLICABLEh -

S. RELATED 00CUMENTS 18. QCLASS 1.E 218

_1 NUCLEAR SAFETY RELATED

2. .

_2

3. X 3 QAPAf Y X N

11. PREPAREk 12. CHECKEAlREVIEWEk 13. INDEPENDENT REVIEWEA:

7:wca/ 40 GAM AS H0 W % hT.t h

$ilw k N D L abdM,

& n N *., R\ \*l'A 6 SIGRATutt / 'DATE SiGRAfuK' ' " DATI SienATUM DATE

14. DATA REQUIRING CONFIRMAT10t 15. APPROVED:

DATA CONFIRMED BY: KC5 DATE SIGNATURE KCE DATE 970106011-f' 961219 PDR ADOCK 05000458 p PDR

CALCDLATION NUMBER REV.

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- ENTERGY

~ CALCULATION WORK SHEET ENTERGY OPERADONS INCORP.

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0 PAGE 2 OF 45 REF PA 2 TABLE OF CONTENTS

, Page 1.0 PURPOSE .. .. . .~ ~.. ............. ~.. ...3 1

2.0 METHODOLOGY AND ASSUMFTIONS.. .. . . ._ ......... .. 4 i

3.0 THEORY AND EQUATIONS. . . ... ... . . 7 4.0 IMPIlEMENTATION .... .. .. ... . _ 15 5.0 AMPACITY DERATING FACTORS _. .~. - . . _. 25

6.0 REFERENCES

~ ... . ... ._. . . .... ..- _. 44 APPENDIX A Calculation Review Sheet. . . A1/7 APPENDIX B Selected Refereacts. . ..... . . . . B1/45 d

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1.0 ' PURPOSE

The purpose of this calculation is to establish the Ampacity Derating Factors (ADF) for

! Thermo-Lag (T-L) 330-1 enclosures at RBS. The enclosures considered are described j below, i l.1 Standard TestedConpprations

RBS T-L tray configurations (one-hour single tray and one hour two tray stack j enclosures) that are smular to configurations previously analyzed / tested by the industry for which ADFs were determined. These configurations are established as applicable to " Standard Tested Configurations" at RBS by this analysis.

f 1.2 Standard UntestedConpprations

These configurations consist of two categories

RBS T-L aluminum conduit enclotures (one-hour and three-hour single conduit enclosures) and RBS T-L

! three-hour single tray enclosures. Configurations similar to these have been j

tested / analyzed by the industry. However, the results are not directly applicable to the RBS T-L configurations due to the diff'erences in conduit material or the T-L

thickness. Therefore, the ADF factors for these " Standard Untested

, Configurations" are established by heat transfer analysis in this calculation.

1 -

1.3 Unipe C&spprations

RBS T-L configurations for which there are no industry tested / analyzed

{ configurations that match the RBS configurations. ADF factors for these

" Unique" configurations are established by heat transfer analysia in this  ;

j calculation. The unique configurations consist ofmultiple raceways enclosed in a  !

, common enclosures with the exception of one-hour two tray stack which is j included with the " Standard Tested Configurations" discussed in paragraph 1.1 l i

above. ' -

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REF PAGE 4

2.0 METHODOLOGY AND ASSUMPTIONS j

2.1 DeAnitions The defmitions given below are taken from Reference 1, Section A.2.

Ampacity, Baseline (Is a, ): The ampacity of a cable in an unwrapped raceway. Is.,a,,,  !

! equals the nominal ampacity, / , times all applicable correction factors such as conductor l j and ambient temperature, conduit grouping, number of conductors in conduit, tray covers, etc.

Ampacity, Nominal (I ,,): The ampacity of a cable based on the construction of the cable (i.e., conductor size, insulation, diameter, etc.) as given in the applicable standards such as References 2 and 3.

Ampacity, Protected (Iw): The ampacity of a cable for the raceway configuration while protected by the fire barrier.

)

Ampacity Derating Factor (ADF): The percentage reduction in measured ampacity l between the unprotected configuration (baseline ampacity) and protected configuration.  !

ADF values are calculated from:

i

~

ADF = ""' x100 (1)

Is s,,,

2.2 Methodoloey i

The ampacity derating factors are determined by performing heat transfer analysis for the enclosures. The, essential criteria is that the heat generated within the cables must be dissipated to the surroun' ding medium without causing the cable conductor / insulation '

temperature to exceed a specified temperature limit. The heat transfer relations are taken

• from basic heat tunsfer texts such as References 6, 7,10, and 16 t

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2.3 Assumotions

The calculation is based on the assumptions stated below.

l l 2.3.1. The ampacity derating factors are for a cable with a 90*C (194*F) insulation rating

in an ambient temperature of 40*C (104*F). For temperatures other than these an j additional factor (Conductor and Ambient Temperature Correction Factor), as defined in Reference 1 (Section A.4.1), must be applied. This approach is

! consistent with accepted industry practices such as those described in References

! 2 (paragraph 310-15), and Reference 3 (paragraph B).

l l 2.3.2. Thermo-Lag thickness is at the up'per fabrication tolerance specified by the i manufacturer. This is a conservative assumption since it increases the thermal l resistance of the enclosure and results in lower ampacity.

! 2.3.3. Where pre-snaped half-rounds are used to wrap the individual conduits, there is i an air gap (approximately 1/8 inch wide per Reference 4) between the conduit and i the Thermo-Lag panel. This e= Mon is conservative since it results in higher thermal resistance (than a solid contact case) and lowers the ampacity.

2.3.4. The ampacity derating factors are based on a model cable fill (lKV, size 8, three conductor calculation, copper cable,with rubber insulation). This approach s as well as the subsequent application of the results to actual cables.

simplifies the The approach isjustified for the following reasons: .

The calculation determines the ampacity derating factor (which reflects the percent change in the ampacity from a baseline case); it does not determine the actual ampacities for individual cables. Individual cable ampacities are d.etermmed by applying the ampacity deratmg factors determined here to the correspording baseline ampacities which account for the size and the type of the cable.

For a given raceway the goveming parameter for the ampacity is the heat generation rate within the raceway. Thus, the ampacity derating factor is a

. measure of the reduction in the heat generation rate due to the presence of the enclosure. Since this hest generation rate is independent of the size of the cable, a model cable can be used to rqim an assortment of cables.

2.3.5. Heat transfer from the sides of the tray is ignored. This assumption is conservative since it reduces the ampacity by restricting the heat transfer rate This is also consistent with the method described in Reference 5 (page 964).

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j 2.3.6.

The walls of the enclosure are assumed to be at a uniform temperature. This is a  !

restrictive assumption for large enclosures with multiple raceways since variations

' in the wall temperature might exist due to IWM radiation / convection effects.

There are two configurations at RBS that are large enclosures; Configurations U1 l

shown in Figure 5.1, and Configuration U2 shown in Figure 5.2. These i

configurations also have large concrete walls that form part of the enclosure. Heat i

loss through the concrete walls are neglected per paragraph 2.3. 9 below.

[ -

Therefore, any nonconservatism that might have been introduced by the uniform i

{

temperature assumption is expected to be offset by not counting the heat transfer j through the concrete walls.

1  !

i 2.3.7.

Natural convection heat transfer coef5cient is calculated by assuming laminar heat transfer reguns, and by choosing the width as the basis for the characteristic length. This approach reduces the calculated ampacity by r+Ag the convective i

heat transfer rate.

! 2.3.8. '

l Enclosure cross section is assumed to be uniform. Where cross section varies '

along the enclosure, calculations are performed at a reprennenative minimum cross i

sectional area. This is a conservative assumption since the ampacity decreases l with decreasing area.

1 1 d

{ 2.3 9.

Heat transfer through concrete walls that may form part of the enclosure is not l

counted. This is a conservative assumption since reduced heat transfer rate reduces the ampacity.

l 2.3.10. For cable trays that are filled to less than one inch depth, it is assumed that the j

j depth is one inch. This is conservative since ampacity decreases with incressmg dgs. - -

2.3.11. Raceways carrying power cables are assumed to be above the raceways carrying control and/or intaumset cables. This is a common industry practice.

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REF PA E 3.0 THEORY AND EQUATIONS A typical enclosure that is considered in this calculation is illustrated in Figure 3.1. The j enclosure is constructed from Thenno-Lag panels and encloses one or more cable trays, conduits, or combinations of them. The heat generated within each raceway (cable tray or 4

j conduit) is conducted away through the cable bed. The total heat generated by all of the j raceways is dissipated into the surrounding fest by radiative and convective heat transfer j through the enclosure gap, then by conduction through the enclosure wall, and finally by radiation and convection from the susface of the enclosure into the surroundmg area. In i

case of single conduits enclosed by pre-fonned half reund Thermo Lag sections, there

! may be a small gap between the conduit wall and the Thermo-Lag material. The heat transfer model described here accounts for this gap also. The applicable equations for each 3 stage of the heat transfer are described below. The heat generation rates and heat transfer rates are for a unit lengths (i.e., per foot) of the raceway.

! 3.1 ((ut Generation Heat is ger.erated within each raceway according to:

l j q, = 3.413[n.n,,,,I 2R] (2) 4

! where .-

q, heat generation rate per unit length of the raceway, Btu /h-ft 4

I conductor current, Amperes R conductor resistance (ac) per unit %gth, ohm /ft n,,,, number ofconductors per cable n,.m number ofcables in the raceway and .

cable subscript for cable con subscript for conductor r subsenpt for raceway Equation 2 above is an extension of equation 2 of Reference 5 for a single conductor, to a raceway containing multiple cables with multiple conductors. The constant 3.413 is the conversion factor from watts to Btu /h (h is used to designate " hour" throughout this calculation).

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The number of cables within the raceway is calculated from equation 3 below. The equation for cable trays is derived from the equation in section A.2 of Reference 1. The equation for conduits is based on the ratio of the actual cross sectional area occupied by l the cables to the inside crou sectional area of the conduit.

\

w i n,,, =

d,'d' for cable trays l

ase (3) 4 n,,, = #* ~ '* 2 M  ?

,<*o for conduits 4

i where

! w, width of the tray, ft

. d, I depth of cable fill of the toy, ft d, u, diameter of the cable, A -

i dw outside diameter of the eunduit, A t,* conduit wall thickness, h I subscript for" tray" .

i condwt subscript for" conduit" 1 3.2 Heat Transfer Throush De Cable Bad j The heat g, generated within each raceway is conducted through the cable bed to the surface of the raceway. The equations describing the heat transfer can be derived by assuming uniform heat generation within the raceway. Cable trays are treated as long slabs of width w, and thickness d,. Conduits are treated as long cylmders with diameter de

' This approach is conservative smce it ignores the axial heat transfer along the, trays or the conduits, and the lateral heat transfer toward the sides of the trays. The applicable equations are taken from-Reference 7 (page 18).

s e, = [b] (2w,XT. - T,) = u,(2w,XT. - T,) for cable trays d,

4k (4) 9, = (g * ) W_ W. - T,) = U_ W_W, - T,) M&u where

kw equivalent thermal conductmty of the cable bed, Btu /h-ft-T T. conductor temperature, T T, surface temperature of the raceway, T 4

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PAGE 9 0F 45 REF PA E U overall heat transfer coefficient defined by the expression inside the 2

bracket, Bru/h-ft -7 (the symbol R shown in Figure 3.1 represents the thennal resistance and which is the inverse of U)

The overall heat transfer coefficient U, for cable trays is calculated directly using the appropriate expression in equation 4. The overall he^2 transfer coefficient for conduits U,% is back calculated from the basehne ampacity data. This is done by calculating g, from equation 2 and substituting the calculated value into equation 4 with the appropriate temperature terms and the conduit diameter.

3.3 Heat Tramfer from the Surface of the P_~_ may to The Encim=e The heat generated within the cable bed and arrmng at the surface of the raceway is transferred to $e enclosure by convection and radiation according to (Ref.16, p:203):

g, = (h, + h ) A,(T, - Ts ,,) (5) where h, convective heat transfer coefficient, Btu /h-ft2 ,7 hw radnauve heat transfer coefficient, Btu /h-ft8 -7 i A, heat. transfer area (per unit length) of the raceway, ft2jfg j TS,. inside surface temperature of the enclosure, 7 T, surface temperature of the raceway, T {

The heat transfer area is calculated from A = 2w, for cable trays

• A = xd_ *for condw'ts (6)

The radiative heat transfer coefficient hw between two surfaces (surface 1 and surface 2) is determmed uses its general definition. Since g=h47, TJ an equivalent radiative heat transfer coefficient can be defined as hw-g,./A(T,-Ty where the not radiative heat transfer gw, is given by (Ref. If>, p.203],

Y*

• o{(7l l - s, + 460)' I l-(T.

- s, + 460)*]) (y

'A 6:4 8:A:

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Expanding the expression ins,de the bracket and combining with the definition for h,a

] j a((E + 460)2 + (T, + 460)'][(T + 460) + (7; + 460)]

'd "

] l - si + 1 + 1 - s3 A, '

f 81 k2 82 2 where i l h,a radiative heat transfer coefficient, Btu /h-A2 ,.p j e emissivity of the surface, dimensionless 1 a #

! Stephan Boltzmann constant (0.1714x10 2:u/h-A'.*R, Ref.16, p: 174) i A surface area participating in radiative heat transfer, s'

{ Fn . shape factor, dimensionless The equatiorr'above is applied to the radiative heat exchange between the raceway and the enclosure by assigning the subscripts as

/ subscript for the raceway 2 subscript for the enclosure ~mside surface The convective heat transfer coefficient h, is based on lammar heat transfer regune and has the following general form h, = k(AT)" (9)

L where L is the characteristic length,4 Tis the temperature diff'erence, and a and n are appropriate constants as defined in Reference 6 (page 315). In this calculation the parameters a and is are chosen to produce a low (i.e., conservative) heat transfer coefficient as: ' -

a=0 20 n=l/4 .

These values are consistent with the recommended values in Reference 8 (Appendix B).

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PAGE 11 OF 45 REF PA E The convective heat transfer is from the raceway to the air in the enclosure and then from l the air to the inner surface of the enclosure. Therefore t

j 4, = A,h,.,,(T, - T, ) = A,h,.,,( T, - T,_,,) = A,h,.. (T, - T ,,,) (10) 4

} where

i. h,.,. overall convective heat transfer coefficient from the raceway to the i ,

enclosure wall, Btu /h-ft2 ,y, h,.,. convective heat transfer coefficient from the raceway to the air inside the j enclosure, Btu /h-ft2 -7.

! h,... convective heat transfer coeScient from the air inside the enclosure to the

! surface of the enclosure, Btu /h-ft'-T.

! T, air temperature surrounding the race;way, T l T3.,,, l inside surface tempeature of the enclosure, T

! T, surface temperature of the raceway, 'F 1

As surface area of the enclosure, ft' A, surface area of the raceway, ft2 1

The overall convective heat transfer coefficient h,., is determined by alimi-iag the j temperature terms (T,, T,, T ) from equation 10. The resultmg expression is compared i

with the conduction. heat transfer coefficient across the enclosure gap and the maximum of

! the two is taken. The expression for h,., is given below, i h,~ ~ k h,., = Maximumof< L >

(11) 8 1 .+A.(b)(h,. ) ,

In this equation the conduction heat transfer coefficient is given by k,/t, where k, is the 2

thermal conducavity of air in the enclosure (Btu /h-ft -T) and I, is the width of the enclosure (ft). In situations where the enclosure width is small the conduction heat transfer coefficient becomes larger than the convective heat transfer coefficient. In such cases the heat transfer coefficient is based on the conduction heat transfer coefficient. This is the case with the condmts that are protected by pre-formed half round fire barriers. In case of the cable trays the enclosure width is sufficiently large so that the heat transfer is controlled by convection.

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! The approach used in modeling the convective heat transfer from the raceway to the-l enclosure results in different air temperature (T,) for each raceway. This is reasonable j since localized effects are expected to produce temperature variation within the enclosure.

, The approach also assumes that each raceway interacts convectively with the full area of j the enclosure. This is a somewhat restrictive assumption and conflicts to some extent with i the assumption that different raceways within the same enclosure may be surrounded by different air temperature. The overall effect, however, is not expected to be significant i since: (1) heat transfer mechanism is predommantly radiative rather than convective. The i

l assumption described above applies only to the convective portion of the heat transfer; (2) i

! Thermal resistance within the enclosure air spac is only a small fraction of the overall

thermal resistance of the system.

! 3.4 Heat Transfer throuah The Exlom

! Heat transfer'through the enclosure is by conduction according to the following equations

[ q, = [ }A,(T,., - T,. ) = U, A,(T,. - T,..,) flat anciasures (12)

[ 9, = [ k' ,, ](2s,XT,.. - T,. ) = U,(2s,XT . - T,. ) cylin+icalencl.

r, in j r, - t, 1

where k, thermal conductivity of the barrier, Btu /h-ft-T i

r, outer radius of a circular enclosure (used on corduits), ft i t, thickness of the enclosure, ft j Tw outside surface temperature of the enclosure, T 3.5 Heat Transfar from the enclomre to The Ambient i

Heat transfer from the enclosure to the ambient is by convection and radiation according l to the followingequanon.

[ g, = (h,_,, + h,. )A,(T - T,) (13) )

l l where

', h,.a. convective heat transfer coefficient from the enclosure to the ambient, 4

Btu /h-ft2 ,9 i hs,. radiative heat transfer coefBeient from the enclosure to the ambient, Btu /h-

,! ft'-T j T, ambient temperature, T 1

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1 The area term A3 in equations 12 and 13 above is the net external area of the enclosure per unit length. If enclosure is not in contact with nearby walls A is equal to the perimeter of l the enclosure. If however, part of the enclosure is formed by walls then A6 is set equal to the perimeter of the enclosure minus the perimeter of the wall contact (A.).

~

~The heat transfer coefEcients h,.w and h w are calculated from equations 8 and 9 by i

assigning the subscripts 1 and 2 as

I enclosure outside wall

! 2 ambient d

Radiation Shqpe Factor (Fd Radiation shape factor between the raceway and the enclosure is calculated as follows:

i  ;

• i From the upper surface of the tray to the top of the enclosure: 1.0x0.5 (area ratio) 1 l From the lower surface to the left (or right) face of the enclosure: 0.3x0.5 (area ratio) j Between two conduits at 1.25 diameter centers: (1.0-0.15)=0.85 The shape factors are taken from configuration 2 of Reference 10 (page 15-44)for trays i

(corresponding to two infinitely long surfaces arranged at right angles to each other) and l

from configuration,7 for conduits at 1.25 diameter centers. i 1

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-,o R otated Protated P>otected 3 Raceway Size (in) 4 x 24 4 x 36 4 x 36 2 1

Cable Data j Depth _(in,) or fill (%) I in 1 in 2 in i 12 %

i kw (Btu /h-ft *F) 0.09 0.09 0.09 0.09

[9, p: A3-8]

i tw .

0.8 0.8 0.8 0.8

19r P: A3-4,]

) 59 I i (Arnp) 34 22 52'l.0-52

[3, p:309) [8, Table 34] [8, Table 34] [3, p:313 and Table i

1, A.4.3.21

Enclosure Data N/A Width or Dia (in) N/A 37 37 3.375

Height (in) - N/A 6.25 6.25 N/A

t. (in), nununum N/A 0.625 0.625 0.75 4

k. (Btu /h-ft *F) - N/A 0.122 0.122 0.122

, L9,0: A3-8]

l c [9,,,p: A3-8] N/A 0.9 0.9 0.9 i Industry Data l Iq,,,(Amp) 34

! ADF(%) N/A 36.2 30.5 6.6

) [8, Table 34] [9, p: A3-9] [9, p: A3 9] [9,p: A44)

Calculated Rasmits

! Im (Amp). 31.6

.', ADF(%) N/A 37.1 35.7 9.9 i Deviation +7.1% +2.5% +17% +33%

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{ Notes:

i 1. All calculations are based on #8 3/C Cu cable with 0.708" Ammaar,0.875 Otun/1000 A

) reenaar* T% thr+na== is based on the noannat value for one-hour (cosung) enclosuns 1 given in Table 4.2.

l 2. Deviation =100x(Calculated ADF -Industry ADFyIndus:ry ADF for protected raceways

3. Dmanon-100x(Noaunal Ampacity fnWimd AmpacuyyNoaunal Ampacity for unprotected i tray j

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Table 4.2 Enclosure Tbickness for One Hour (Upgraded) [Ref.14) l 3

One-Hour (Upgraded)(Ref.14]

Enclosure 1

, Condets Conduts Multiple

) Less than 3" Nominal 3" or larger Raceways ,

j Dia. Nominal Dia. in Common Enclosure

, Base Layer 1/2"(+1/4", -0") 1/2"(+ 1/4", 4") 5/8"(t1/8")

Overlay 3/8"(+1/8",1/8") None None i Stress Skin (Trowel Grade ) None 1/4" noannal 1/4"(see note 1 '

l below)

] Total Bamer nickness 1 1/4" max 1" max ' 1" max l

• 7/8" nommal 3/4" noannal 7/8 nominal j 3/4" mammum 3/4" minimum 3/4 minimum OnsHonsr(Ensdag)(nalel j Total thickness: 0.5"+(+1/8*, 0")

i Three-Hour (FAsdag)(Ret 4}

Total thickness

1.0"+(+1/4", 0")

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! Notes -

(1) For multiple rxeway enclosures the swess skin is applied our the entire surface of the enclosure. For single tray raceways the swess skin is applied along thejoint mterfaces appronmately 4" wide on eachface along thejoint.

&h

.- .n - - - . . .- - - . - . . _ - - _ _ . . . . - . . _ - - . . . _ - , - - . - . . .. -.

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J i TABLE 4.3 -24 INCH TRAY / UNPROTECTED FIREENCLOSUREDA TA TEMPERATUREDATA j ww width,(in) 1.00E+06 T., conductor 194.0 F

hw height,(in) 1.00E+06 T., ambient 104.0 F A% A., area , A2 3.33E+05 0.0

c., enussivity 1.00 # EAT TRANSFER.

} t., thickness (in) 5.00E 06 GAPDATA e, Btu /h-A2 *R 1.7140E 09

{ kg(Bru/h A-7) 1.00E+03 k, Btu /h-A-7 0.016 C, (w-h/Blu) 0.2931

! Fw shape factor 1.00 t, in N/A a 0.20 l . t, Btu /h A-7 N/A a 0.25 1 . TRAYAND CONDUlTDATA 4

Raceway Catesones 1 i Type TRAY Enclosure size has been chosen insonnonally very

ID 24" TRAY !arge to simulate an unprotected raceway

n,, no. of raceways 1 i wi, width (4 dia), in 24.0 i h , height (t, thickn.); (in) i 4.00 j di, depth, in (fill, Mt 1.00 j e, cable enussmty 0.80 l F,w shape factor 1.00 '

i cable size #8 3/C Cu i i d , cable dia (in) 0.708 Boxed entnes designate the parameters

' l

n. , no. of conductors 3 over which iterah are carned out R resistance, Ohm /1000A 0.875

kw Btu /h-A-7 0.090 - Entries in [ ] show the equanon number in Secuan 3.0

,  ! , nonunal amp.,(Amp) 59.0 Entnes in (italie) apply to conduits only i

! l 1 CALCULA TED PARAMETERS

! Raceway

in . baseline amp., (Amp) 131 6 1 4

n., number of cables 48 [3]

A,. heat transfer area, (A2 ) 4.00 [6]

q,, (Bru/h raceway ) 429. [2]

j q, (Bru/h category) 429. (q,*n,]

U,(Btu /h A2 .7) 4.32 [41Vd in Eq. 4]

3 T,, Surface Temp.,cT) 169 2 (Eq. 4]

i T., enclosure air temp.;(T) J 104.0 l Ambtent

! h ,,, Bru/h A2 -T 0.48 (Eq. 91

) h. i Btu /h-A22 .7 0.00 [Eq. 9]

h ",,, Btu /h A -7 0.48 [Eq.11]

j ha (Btu /h-t'-T) i 1.17 -

(Eq.8]

U (Bru/h-f t T) 1.64 [hu,+hw]

i Bamer i U., Btu /h-A-7 2.40E+09 (Eq.121 i T Inside Temp.,7 I1040 I j Tw Outside Temp., 'F 104.0 [Eq.12]

2 j h. Btu /h-A 7 0.00 (Eq.91 he, Bru/h-f"-T 1.23 [Eq.8]

U, Btu /h-f't-T 1.23 [hm+h ]

T., T 104.0 (Eq.13]

AMPACITY 31.6 Amp i.

j i

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CALCULATION WORK SHEET 013.18.14.0 178 JBI NO.

0 PAGE 19 0F 45 l

l l TABLE 4.4 -36 INCH TRAY -1 HR /1" FILL l FIREENCLOSUREDATA TEMPERATUREDATA i ww width, (in) 37.0 T., conductor 194.0 F l lb height (in) 6.25 T., ambient 104.0 F i A w A ,, area , A 2 7.2 0.0 l sw enussivnty 0.90 .

HEAT TRANSFER.

t tw thickness (in) 0.625 GAPDATA cr, Btu /h-A2 ,.R .7140E 09 A (Btu /h-A 7) 0.122 Btu /h-R-7 0.01& C. (w h/ Btu) 0.2931

Fw, shape factor 1.00 k,in t, a 0.20 j h, Btu /h-A 2 ,. N/A N/A n 0.25 TRAYAND CONDUITDATA i{ Raceway Catesones Ca'tegory 1 i Type TRAY

ID 1 HR TRAY

n,, no. of raceways 1 4

w, width (4 dia), in e 36.0 Boxed entnes dengnate the parameters h , height (t. thiche.J. (in) 4.0 over wheh iter =*ia== are camed out

d , depth, in (///l. H/

i 1.0 s, cable emissmty 0.80 Entries in [ ] show the equation number in Secuos 3.0

F,w shape factor 1.00 Entnas in (ital /c) apply to conduits only l cable stze #8 3/C Cu

d w., cable dia, (in) 0.708 n , no. of conductors 3 R, resistance, Ohm /10002 0.875 -

I kw Bru/h-A-T 0.090

!w basehne amp., (Amp) 34.0 '

i CALCULA TED PARAME'TERS Raceway Ip, w protected amp.,(Amp) 121.4 I tbu., number of cables 72 [3]

A,, heat transfer area. (A2 ) 6.00 [6]-

gr (Bru/h-raceway) 294. [2]

q, (br..4i-caterory) 294. [q,*n,]

U,(Btu /h A2 ,T) 4.32 [Eq. 4]

T,, Surface Temp.fF) 182.6 [Eq. 4]

T., enclosure au temp.,'(7) 1164.1 l l

Encloswe h.,,,Bru/h-A-7 2 0.32 [Eq. 9]

h.~,w Bru/h-A8 -7 0.30 [Eq. 91 h.",w Btu /h A2 -7 0.17 [Eq.I1]

ha (Bru/h-f'-7) 1.25

[Eq. 8]

U, (Bru/h-f't-T) 1.42 [h +h,w]

Bamer Uw Bru/h-A *F 2.34 [Eq.12]

T Inside Temp., T 1148.. I Tw Outside Temp., T 130.? [Eq.12]  ;

2 h w Btu /h-A -T 0.34 [Eq. 9] j h,w, Btu /h-t' T 1.19 [Eq.81 U, Bru/h-f't-T  !

1.53 [hm+h,w]  ;

T., T 104.0 [Eq.13]

{

ADF 37.1%

j CALCUl ATION NUMBER REV g- EN TERGY, CALCULATION WORK SHEET ENTERGY OPERATIONS INCORP 013.18.14.0 178 JBI NO.

0 PAGE 20 OF 45

REF PAGE i

TABLE 4,5 -36 INCH TRAY -1 HOUR / 2" FILL i FIRE ENCLOSUREDATA TEMPERATUREDA TA i w% width, (in) 37.0 T., conductor 194.0 F

' h%height,(in) 2 6.25 T., ambient 104.0 F A% A., ares , A 7.2 0.0 i cw emissmty 0.90 HEAT TRANSFER,

< tw thickness (in) 0.625 GAPDATA o, Btu /h-A2 ,.R 1.7140E 09

kS.(Btu /h-A T) 0.122 Bru/h-A 7 0.016- C, (w h/ Btu) 0.2931.

Fw, shape factor 1.00 k,in t, a 0.20 i .

h, Bru/h4,. 2 N/A N/A a 0.25

, TRA YAND CONDUITDA TA

Raceway Catesones Cate8ory 1 1

Type TRAY ID 1HR"UtAY n,, no. of raceways 1 l w , width (d. dia), in 36.0 Boxed entries des 8nate the parameters l h,, height (t, thickn.), (in) 4.0 over wha itar=*=== am carried out i d , depth,, in (fill. $ 2.0 e, cable emissmty 0.80 Entries in [ ] show the equanos number in Section 3.0 F,% shape factor 1.00 Entnes in (italie) apply to conduits only

cable size e8 3/C Cu d , cable dia (in) 0.708

no , no. of conductors 3 i R, recen- Ohm /1000A 0.875

! k a Bru/h 4 *F 0.090 im hasehne amp., (Amp) 22.0

CALCULATED PARAM$ERS l Raceway I,,,, , protected amp., (Amp) I14 2 I n number of cables 144 [3]

A,, heat transfer area,(A2 ) 6.00 [6]

gr . (Bru/h raceway ) 258. [2]

q,(Btu /h category) 258. [qr*n,]

U, (Bru/h42 -7) 2.16 [Eq. 4]

T,, Surface Temp. (F) .

174.1 [Eq. 4)

T., enclosure air temp l,(T) - 1157.4 I Enclosure h, ,,, Bru/h42 T 0.31 [Eq. 9]

h,1 Bru/h-A2 -T 0.29 [Eq.9]

h,~,% Bru/h42 -7 0.16 [Eq. I1]

hi(Btu /h-f'*F) 1.21 * [Eq. 8)

U,(Btu /h di t 7) 1.37 [ha+h,,,)

Bamer U% Btu /h4-7 2.34 [Eq.12]

To Inside Temp.,7 l142.9 I .

Tw Outside Temp.,7 127.6 [Eq.12) h w, Btu /h 24 7 0.33 [Eq. 9]

h, , Bru/h-f'-T 1.18 [Eq. 8]

U, Btu /h-f't T 1.51 [ha+h, ]

T., 'F 104.0 [Eq.13]

ADF 35.7 % i f i i  !

l

7, CALCULATION NUMBER REV

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3

)

PAGE 210F 45 l i

REF PA E i

" l TABLE 4.6 -2 INCH CONDUIT / PROTECTED 1 1 1 FIREENCLOSUREDATA TEMPERATUREDA TA d., outside diameter, (in) 4.125

\

T., conductor 194.0 F I h , height, (in) 1 N/A T., ambient 104.0 F A., A., area , A 1.08 0.00 c., enussmty 0.90 HEAT TRANSFER t., thickness (in) 0.750 GAPDATA 2

e. Btu /h-ft *R 1.7140E 09 k (Bru/h A-T) 0.122 Bru/h A-7 0.016 C, (w h/ Btu) 0.2931 Fn., shape factor 1.00 k,in t, 1/8 a 0.20

! h, Btu /h-ft' T 1.54 a 0.25 l' TRA YAND CONDUITDATA Raceway Categories Category 4 Tge CONDUIT ID 2" CONDUlT 1

n , no. of raceways I w , mdth (d. dia), in. 2.375 Boxed entnes designate the parameters hi , height (t, thicbr.), (in) 0.154 over wMeh iterah are carned oim d , depth, in (fill, Hf i 12.0 c, cable emissmty 0.80 Entries in [ ] show the equanos number in Secuon 3.0 F, , shape factor 1.00 Entnes in (Italie) apply to condets only I

cable size #8 3/C Cu

d cable dia (in) 0.708 n , no. of conductors 3

R resistance, Ohm /1000A 0.875 kw Btu /h A *F 0.090

!% baseline amp.,(Amp) 52.0 CALCUL4TED PARAM ERS

, Raceway i I%, protected amp., (Amp) 146 9 I n numberofcables 1 [3]

A,, heat transfer area,(M) 0.62 [6]

q,,(Bru/h raceway ) 20.13 {2]

q, (Bru/h<ategory) 20.13 [qr*n,]

. U,(Bru/h-A2 T) 0.60 [ Eq. 4]

i T,, Surface Temp.,(F) 141 [Eq. 4)

T., enclosure air temp.l(T) -l1: ,

6 I i Enclosure

' 8 h ,,,,Bru/h-f1 T 3.07 [Eq. 9,11l h , Btu /h ft -T 3.07 [Eq. 9,11]

h,~, , Btu /h ft2 -7 1.54 [Eq. I1]

l ha (Bru/h-t' *F) 1.05 " [Eq. $]

U. (Btu /h-f"t *F) 2.59 [h ,.+h,w]

l Bamer i U , Bru/h ft T I $7 [Eq.12]

T Inside Temp., T 1127 4 l T . Outside Temp., T 115.5 [Eq.12]

i how Btu /h-ft2 -7 0.48 [Eq. 9]

j h. Bru/h-f'-T 1.14 [Eq. 8]

U, Bru/h-f"t-T 1.62 [h +h,w]

T., *F 104.0 [Eq.13]

l

ADF 9.9%

i 4

1 CALCtJLATION NUMBER REV

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PAGE 22 OF 45 s

REF PACE  !

i i

i  !

l .t. 2 Anolication to RBS Thermo-Lar Enclosures l

! The equations given in Section 3.0 are solved by iteration to determine the limiting rate of l 1 heat generation within each raceway such that the cable conductor temperature is at its l l specified value. The heat generation rate is then convened into an ampacity value using  !

l Equation 2. The ampacity derating factor (ADF) is defined as

~

ADF = "" x100 (14)

)

Is.,s.

! where /% refers to the ampacity of the cable without the fire encicsure and I,,,,a l

refers to the ampacity of the cable in the enclosure. This approach ehminates the need for  ;

l specific cable information in each individual conduit and simplifies the subsequent .

application of the ADFs. This approach is also consistent with the NRC method used in

Reference 9 (page A3-9).

} l j Calculations are performed using the approach a outlined below.

3 s

i 1. Calculate the thermal resistance of the raceway (U, or Um in equation 4) from the i

raceway and the cable data. For cable trays U,is calculated directly from the

corresponding expression in equation 4. For conduits Um is back calculated from 1

! the baseline ampacity data. This is requires knowledge of the conduit surface

! emissivity. It has been assumed that this emissivity (for the purpose of determming i

Uw) is at the high end of the range (0.4 to 0.8) given in Reference 9, page A4-5, i.e., emissivity =0.8. This is conservative since it increases the effect of the fire barrier.

l 2. Assume a reasonable enclosure wah temperatum corresponding to the speedied cable

insulation temperature and the ambient temperature. Calculate the corresponding heat i transfer rate to the ambient. Calculate the raceway surface temperature and the corresponding heat generation rate within each raceway.

i j 3. Compare the heat transfer rate to the ambient determined in step I to the total heat l generation rate deterpunad in step 3. The two quantities must agree within a

reasonable limit.

i

4. Adjust the enclosure temperature and repeat steps 2 and 3 until the solution

l converges.

.j 5. Calculate the current corresponding to the heat generation rate using equation 2 j

6. Calculate the ampacity derating factor from equation 14 above 3

i i

4 l

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l. PAGE 23 OF 45 i

MF PAGE l

1

) .t. 3 Inout Data

] The input data used in the calculations are summanzed below:

J Ambient Temperature 40*C (104*F) a

Cable i Cable Size #8 3/C Cu, IKV, rubber msulated 3

} ' Conductor Resistance (ac) 0.875 Ohm /1000 A [Ref.1, Table A.4-2] I Cable Dumeter 0.708 in [Rd. 3, p: 308]

l Conductor Temperature 90*C (1947) j Nominal Ampecity 59 Amp [Rd.1, Table A.4-2) 52 Amp [Ref.1. Table A.4-2] in condst j Emissivity of The Cable 0.8 [Ref. 8, AW= B]

a l Baseline Ampacitiesfor Trays [Ref. 8, Table 3 6]  ;

} 34.0 $mp 1" depth ofcables in tray l 22.0 Amp 2" depth of cables in tray Baseltne Ampoestlesfor Conduits (Ref.1, Table A.4.3 2l l Basehne AmpagNommal A mparwy x MCF Boca Table A.4.3 2 of Reference 1

] $2.0 Amp in 2" condet 12% ($2x!.0 for three conductors or less)

} 41.6 Amp in 2" condet 24% (52x 0.8 for 6 conductors) l

' 1 Enclosure

Type  % 330 1 i Thermal Conductrvity# 0.09 Btu /h-A-7 [Ref. I1], (SNL Uses 0.122, Ref. 9, p

A3-8)

Thickness See Table 4.2 Enussmty 0.9 [Ref. 9, p: A3-8]

3 Condmt Data Material Aln=n==

, Schedule Standard schedule Ermssmty 0.2 (oxuhand surface, for discusson see secnon 4.4)

Confguration SpecificDatNu See Table 5.3, and Pigens 5.1 through 5.4 [ Data taken from Refk. 4,13]

l .

h 1

i G

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4. 4 Emissivity ofAluminum Conduits According to the SNL review the measured emissivity of the TU/CPSES conduits varied from 0.4 to 0.8 (Ref. 9, p: A4-5). Since the TU conduits are steel whereas the RBS conduits are aluminum the measured emissivity data is not directly applicable to RBS. In this calculation a value of 0.2 has been used for the emissivity of alummum conduits. This is considered to be a conservative value for the following reasons:

1. Industry standards (References 2, 3] does not make any distinction between aluminum and steel conduits. This implies that the basehne ampacities listed in IPCEA are bounding for steel and aluminum conduits.

2. The Nehd-McGrath technical paper (Reference 15), which is the basis for the IPCEA publication P-46-526, does not discuss aluminum versus steel conduits. Regarding the emissivity it is stated on page 758 that "7he walue ofemissivity may be taken 0.95for pipes, condwits or ducts, andpaintedor braidedsurfaces, andfom 02. to 0.5Jbr lead and aluminum sheaths, depending upon whether the sur) tace is bright or .

corroded." Reasonably assuming that surface conditions of aluminum conduits is comparable to surface condition of sheaths, the use of 0.2 emissvity for aluminum conduits is conservative.

3. Emissivity of aluminum surfaces vary from 0.03 to 0.4 depending on the surface conditions. The following is a compilation of data from various sources-Heavily oxidized aluminum 0.20 -0.31 (Ref.16, p: 285)

Aluminum (sand blasted) 0.40 [Ref.10, p: 3-22]

Aluminum, oxidized 0.20 (Ref.6, p: 344]

The above data suggest that a conservative value of the emissivity for oxidized alummum surfhces is 0.20 The emissivity for rough oxidized aluminum surfaces can be as high as 0.40. -

cALCUL.ADON NUMBER REV g- EN TERGY. CALCULATION WORK SHEET EvrERGY OPERADONS INCORP, ot3.is.14.o-17s MI NO.

o l PAGE 25 0F 45

, a mn l 5.0 AMPACITY DERATING FACTORS 5.1 Results i Ampacity derating factors have been deternuned for the configurations listed below:

! 1. Standard Tested Configurations (Ampacities Based on Industry Test Data) j 1.1 Single tray (1-hour)

1.2 Two stacked trays in a common enclosure (1-hour) 4

2. Standard Untested Configurations (Ampacities Based on Analysis)

1.1 Single conduit (1-hour)

{ l.2 Single conduit (3-hour)

] 1.3 Single trays (3-hous)

3. Unique Configuraticas (knpacities Based on Analysis)

! 3.1. Configuration Ul: Multiple trays and conduits in a 1-hour

! enclosure (not upgraded) t 3.2. Configuration U2: Multiple trays and conduits in a 1-hour enclosure (not upgraded)'

3.3. Configuration U3a-h3: Two cable trays in a 3-hour enclosure 3.4. . (not upgraded) 3.5. Coiifiguration U3b-h3: Two cable trays in a 3-hour enclosure 3.6. (not upgraded) .

3.7. Configuration U3a-hl: Two cable trays in a 1-hour enclosure (upgraded) 3.8. Configuration U3b-hl: Two cable trays in a 1-hour enclosure (upgraded) .

The results are summanzed in Tables 5.1 through 5.3. Detailed spread sheet calculations are given in Tables 5.5 through 5.12.

Arrangement of the raceways withm the enclosures for the unique configurations Ul, U2, U3a-hl/h3, and U3b-hl/h3 are shown Figures 5.1 througn 5.4.

CALCUl.ATION NUMBER REV 4

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PAGE 26 OF 45 j l REF PME i l

Table 5.1 Standard Tested ConGgurations l

.. (Ampacities Based on Industry Test Data, Ref. 9)

)

4 Configuration Bamer ADF(%)

l Rating NRC RBS Single Tray 1-hour 31.5 [Ref. 9, p: 15] 32 Two Tray Stack 1-hour 37.7 [Ref. 9, Cover Letter] 38 Table 5.2 Standard Untested ConGgurations (Ampacities Based on Analysis)

Con 6guration Barrier ADF(%)

Ratmg

~

Single Conduit .- 1-hour 21 Table 5.5 See Note 1 Single Conduit 3-hour 21 Table 5.5 See Note 2 Single Tray l 3-hour 44 Table 5.6 Notes:

1. The calculated ADF value is 20% (see Table 5.5). Since Reference 9 reco==*ade 21%, the higher value has basa selected ibt use at RBS.

j

2. Three-hour condma (ensung) has the same T L thicimens as the one-hour (upgraded) T L tinckness (1.25). Deredbus it has boss assigned the same ADF as the one-hour condua (i.e., 21%)

l 4

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0 PAGE 27 OF 45 1

! REF PAGE i

i Table 5.3 Unique Configurations l l (Ampacities Based on Analysis) 1 I

Configurat Raceway Size fill ADF Remarks ion. [Refs. 4,13] [Refs. 4,13] [Ref. (%)

! !2I UI /*/B2072 con 6praiaan a shown a Fipes 3.1.

1 hour1.157407e-5 days <br />2.777778e-4 hours <br />1.653439e-6 weeks <br />3.805e-7 months <br /> ICK600NA1 C 3.00 31.4 % 41 1CK600NA6 C 1.50 23.6 % 37 No credit has bem takan fordu heat Figure 5.1 1CX9110A trender throush the esmerne wall.

Table 5.7 ITK200R T-3x18 1.03% 40 1TH200R T-3x18 36 11=juncoen dans met sessam asry , =ar c.hi.

~

1TC200R T-3x18 ITX200R T-3x18 )

U2 1CK600NA7 C 1.50 23.6 24 ^ '. a she=e a Fipse 3.2

~

1 hour1.157407e-5 days <br />2.777778e-4 hours <br />1.653439e-6 weeks <br />3.805e-7 months <br /> ICK600ND2 C-3.00 11.9 22 Men:=muove partiesis she East ITH201R T 3x18 23 14 Figure 5.2 ITC201R T-3x18 Table 5.8 iTX20lR T-3x18 No credit has beam takan fordu best (lTC202R) T-3x18 (Nate 1] trunder trousbihe esmares wan.

(ITX202R) T-3x18

/TC203R T-3x18 Tc203a.1Tx203st. ITc204a. and 1TX203N 1TH202R m shove the verheelchase ITC204R T-3xI8 (1TH202R) T-3xl8 U3a ITLO12B T-3x30 1" 33 Conspremen a ainem a Fipro SJ.

1 hour1.157407e-5 days <br />2.777778e-4 hours <br />1.653439e-6 weeks <br />3.805e-7 months <br /> selected Figure 5.3 ITC0485 T 3x30 i Table 5.9 U3a 1TL0125 T-3x30 12.1 % 38 consprunem e nho n e ripre sa 3 hour3.472222e-5 days <br />8.333333e-4 hours <br />4.960317e-6 weeks <br />1.1415e-6 months <br /> -

Figure 5.3 ITC0488 T-3x30 Table 5.10 U3b 1TM8815 T 3x30 12.1 % 25 coresurinen m ano== = ripre s.4 1 hour1.157407e-5 days <br />2.777778e-4 hours <br />1.653439e-6 weeks <br />3.805e-7 months <br /> .

Figure 5.4 ('IK002B) T-3x30 20.5 %

Table 5.11 ITC0478 T 3x30 U3b 1TK001B T 3x30 12.1 % 41 canapirainee n sh m a risse s.4 3 hour3.472222e-5 days <br />8.333333e-4 hours <br />4.960317e-6 weeks <br />1.1415e-6 months <br /> Figure 5.4 (TK0028) T 3x30 20.5 %

Table 5.12 ITC047B T 3x30-Notes: (1) Raceways shown in pari'arhame are continuation of other raceways listed.-

(2) Raceways carryttg power cables are shown in bold.

(3) ADF values have been rounded off upward to the next integer value

1 CAlflILATION NUMBER REV  !

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PAGE 28 OF 45 REF PA E 5.2 Standard Tested Conneurations The ampacity derating factors for standard one-hour cable tray installations at RBS (referred here as " Standard Tested Confgurations") are based on the results of the tests performed by Texas Utilities (TU). The test results produced by TU were later adjusted by the NRC based on a study performed by Sandia National Laboratories (SNL). The ADT values applied to the standard one-hour tray configurations at RBS are based on the NRC i adjusted ADF values. The ADF values are listed in Table 5.1.

Appli: ability of the TU tested configurations to RBS was established by a review of the configurations tested by TU and by comparms them to the tray configurations at RBS.

Table 5.4 provides a summary of this comparison. Comparisons were made regarding the tray size, matenal, fire barrier thickness, joints, and, upgrade methods. The u designed configurations at RBS are found to be the same as the tested configurations except:

1. Cable tray sizes at RBS range frcm 18" to 30" whe eas the tested configuration is 4"

2. The raceway material at RBS is aluminum whereas the tested raceway is steel.

Neither of these differences is important as far as the ADF values are concerned as discussed below.

Tray size The size of the tray tested by TU represents the median tray size at RBS. Maximum variation from the tested tray size is t6 inches. Additionally, ADF is independent of the tray size. The controlling parameter for the cable ampacity in a tray is the heat flux from the cable bed. Fe a given cable depth fill and cable size this parameter is independent of the width of the tray (hest generation rate and the surface area both vary linearly with the width of the tray.) Since the surface area of the fira barrier also varies linearly with the i with of the tray the ampacity derating factor is independent of the width of the tray. This observation is consistent with the simulation model used by SNL to evaluate the TU test results. In reference to the resuhs of the SNL study, it is stated on page A3-10 of Reference 9 that " ..these results (ADFr) are independent of the tray width b="- of the assumption of true 1-dimensional behavior for these =imal* ions."

d

( .

, ~

i j CAlfULATION NUMBER REV  !

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. ENuRoy OPERATIONS INCORP. M NO.

i l PAGE 29 OF 45 I REF PME I 1 ,

r y .

i

RacewayMaterial l The difference between aluminum and steel, as far as their heat transfer capabilir .s l

concerned, is that aluminum has a lower emissivity, lower specific heat, and hight thermal '

l conductivity than those of steel. None of these parameters, however, is important to the cable ampacityin a tray. l h; l I

l 1. Specific heat is not a factor since the ampacities are determmed for steady state  !

j conditions. I i

, 2. For the problem under consideration thermal conductivity of the raceway material is insignificant. If anything, aluminum is a better conductor than steel which should 3

j augment the ampacity. I 1

4-3 3. Emissivity affects the radiation heat transfer which is an important component of the heat transfer rate from the cable bed to the fire barrier. For cable trays though, the

! radiation is directly from the exposed surface of the cable bed to the fire barrier. Ares j covered by the tray rungs is only a small fraction of the effective heat transfer area of

the cable bed. Therefore the ADF is determined by the emissivity of the cable rather i

than the emissivity of the tray material. This is consistent with the approach used by i ICEA/ NEMA (Ref. 8, Appendix B] which does not make a distinction between i

aluminum and st.cel trays, and the heat transfer model used by SNL to evaluate the TU i test data which'uses the cable emissivity rather than the tray emissivity as the basis for l heat transfer calculations.

i i

Based on the comparison of the Thermo-Lag tray tested by TU to obtain the ampacity j derating factors and the standard Thermo Lag tray installations at RBS as summarued in l Table 5.4 and further discussed in the paragraphs above, the use of the ampacity derating factors given in Table 5.1 is justified.

i 3.3 Standed UntestedCa,fm. muons

! The ampacity derating factors for single conduit (both one-hour and three-hour) and single i

thr ee-hour tray enclosures at RBS (referred here as " Standard Untested Conjfgurations")

! are based on the results of the heat transfer. Although ter. data exists for steel conduits, j

this data was not used since the conduits at RBS are aluminum. Test data for three hour  ;

j tray enclosures is noi available. Accordingly, the ampacity derstmg factors for these '

{ configurations were determoed by heat transfer analysis. The ADF values are listed in j Table 5.2.

I 2

i i

i CALCULATION NUMBER REV l

l g- ENTERGY~ CALCULATION WORK SHEET ENTERGY OPERADONS INCORP.

G13.ts.14.0 173 JBI,NO.

o I

PAGE 30 OF 45 i

J REF PA E 5.4 Uniaue ConReurations The ampacity derating factors for multiple raceways in common enclosures (referred here as " Unique Confgurations") are based on the ::sults of the heat transfer. The only exception to this is the two stacked tray configuration for which TU test data was applied.

as discussed in paragraph 5.1. The ADF values are listed in Table 5.3.

S e

O

) CAI.CULADON NUM;,ER REV  :

j g- ENTERGY . ENnRoYOPERATIONSINCORP.

CALCULATION WORK SHEET G13.13.14.0173 JBI NO.

0 PAGE 31 OF 45 i

REF PA E l

j Table 5.4 Comparison of RBS and TU Tested Tray Conngurations [Ref.14]  !

! ATTRIBUTE RIVER BEND COMANCHE TEST 1

COMMLVr5 STATION PEAK REFERENCES l AS DESIGNED TESTED l CoNMOtJRADON CONMGURADON RACEWAY Cable Tray Cable Tray TUECScheme nAT-1 As-Desipedis the l TYPE (Page 6 ofRef 17) same as Tested See the discussuon i RACEWAY 18"x 3" 24" x 4" TUECScheme nAT-1 in p a rh 3.1 1

SIZE 30" x 3" (Page 6 ofRef 17) above 1 See the discusion RACEWAY Aluminum Steel TUECScheme nAT-1 paragraph 3.1 l MATERIAL (Page 4 ofRef 17) above BARRIER

• Dermo-Lag normo-Lag TUECScheme NAT-1 As-Desspedis the  !

. MATERIAL 3301 3301 (Page 6 ofRef 17) same as Tested l Prefabricated Prefabricated l V-nb Panet V-rub Peel a

8ARRIER 3/8"(k I/8") 3/8"(21/8") TUECScheme NAT-1 As-Desipedis the l THICKNESS (Page 9 ofRef 17) same as Tested

? ,

} JOINT Pre-buttered Pre-buttered TUECScheme NAT-1 As-Desipedis the

TYPES with trowel with cowel (Page 9 ofRef 17) same as Tested i 1 grade grade 1 i matenal matenal JOINT Stress. Skin, Strese. Skin. TUECScheme nAT-1 As-Desipedis the UPGRADE Trowel Trowel (Page 10efRef 17) same as Testec:.

METMODS ~ Grade Warr, Grade, Wire,

Staples Staples i

Note: Data for River Band Station are taken from Reference 14.

1 l

1 1

ll CA14ULATION NUMBER REV g- ENTERGV CALCULATION WORK SHEET ENTERGY OPERATIONS INCORP

-G13.18.14.o.17s II,I NO.

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PAGE 32 OF 45 REF PA E l

TABLE 5,5 -STANDARD ONE-HOUR CONDUIT '

i FIRE ENCLOSUREDA TA TEMPERATUREDATA d., outside duuneter,(in) 5.125 T., conductor 194.0 F l h , height,(in) N/A T., ambient 104.0 F A.,A., area,M 1.34 0.00  ;

i c., enussmty 0.90 ffEAT TRANSFER

, t., thickness (in) 1.25 GAPbATA e Btu /h-M *R 1.714E-09 2

kg(Bru/h A 7) 0.090 k,, Btu /h-A-7 0.016 C, (w-h/ Btu) 0.2931 F , shape factor 1.00 t,in 1/8 a 0.20 j h,, Btu /h- M T 1.54 n 0.25 l TRA YAND CONDUITDA TA

! Raceway Catesones - Category 4

{ Type STD/ CONDUIT j ID 2" CONDUIT i n,, no. of raceways 1 j wi, width (d. dia), in 2.375 Boxed entnes designate the parameters l j h,, height ft, thickn.), (in) 0.154 over wha iter =*6a= are camed ein i d.i depth, in (/Ill, N) 23.5 l c, enussivity 0.20 Entries in [ ] show the equanon number in Section 3.0

+

F,., shape factor 1.00 Entties in (Ital /c) apply to conduits only cable sue #8 3/C Cu

! d.,m, cable dia, (in) 0.708 i n no. of conductors 3

R. rmarnar* Ohm /1000R 0.875 kw Btu /h A-7 0.090 i Iw , baseline amp.,(Amp) 41.6 CALCULA TED PARAM$TERS Raceway I,, , protected amp., (Amp' I33.3 l l n , number of cables 2 [3]

l A,, heat transfer area, (M) 0.62 [6]

! q,,(Btu /h raceway) 20. [2]

q,(Btu /h category) 20. [q,*n,]

! U, (Btu /h-M-T) 0.81 [ Eq. 4]

T,, Surface Temp.,(F) 154 9 [Eq. 4]

T., enclosure air tenn.,(7) - 1145 8 I Enclosure

h. ,,, Btu /h M.*F 3.07 [Eq. 9,111 h.~ Bru/h-M *F 3.07 [Eq. 9,11]

h ~, Btu /h-M-T 1.54 [Eq. !!]

hd,,(Bru/h-t T) 0.30* [Eq. 8]

U,(Bru/h f't T) 1.83 [ha+b, d Bamer U., Btu /h-A-7 0 63 [Eq.12]

T Inside Temp.,7 l137 0 1 T Outside Temp.,'F 113.5 [Eq.12]

h. w Btu /h-M-T 0.43 [Eq. 91 h,w, Btu /h-f-T 1.14 [Eq. 8]

U, Btu /h-f't *F T., 'F 1.57 [h +hs]

104.0 [Eq.13]

ADF 20.0 %

CA14UI ATION NUMBER REV g- ENTERGY CALCULATION WORK SHEET _G13.13.14.0 173 0 ENTERGY OPERADONS INCORP. JBINO.

PAGE 33 OF 45

- REF PA E TABLE 5.6 -STANDARD THREE-HOUR TRAY i

FIREENCLOSUMDATA TEhiPEMTUMDATA i ww width, (in) 32.5 T., conductor 194.0 F j is height,(in) 2 7.75 T., ambient 104.0 F j A., A., area , A 6.7 0.0 1 c., enussmty 0.90 ffMT TMNSFER, I t., thickness (in) 1.250 GAPDATA e, Btu /h-A2 ,.R 1.714E 09 l k.,(Btu /h-A 7) 0.090 Btu /h-A 7 0.016 C, (w-h/ Btu) 0.2931 j F shapefactor 1.00 k,in t, N/A a 0.20 2

1 h, Btu /h-A -7 N/A n 0.25 TMYAND CONDUITDATA l Raceway Categories Category 1

Type TRAY ID STD/IRAY n,, no. ot raceways 1 i wi, width (d. dia), in 30.0 l h , height (r, thichr.J. (in) i 4.0

( d , depth, in (/ftl, N) i 1.0 i

e, cable emissmay

• 0.80 F,., shape factor 1.00

cable size #8 3/C Cu

d u., cable dia (in) 0.708 Boxed entries designate the parameters n , no. o(conductors 3 over whek iternaa== are camed out i R, resistance, Ohm /1000A 0.875 j km Stu/h-A-7 0.090 - Entries in [ ] show the equanos number in Secnoa 3.0 l

1, , nonunal amp., (Amp) 34.0 Entries in (Italle) apply to conduits only c

cal.Cl)lA TED PAMMETEM i

Raceway Iw, protected amp.,(Amp) 119 2 I i j n,.u., number o(cables 60 [3]

j A,, heat transfer ares,(A2) 5.00 [6] '

4 qr (Bru/h-raceway) 198. [2]

! q, (Bru/h category) 198. [qrn,]

2

} U. (Btu /h-A 7) 4.32 [4k /d in Eq. 4]

T,, Surface Temp..<T) 184 8 (Eq. 4]

, T., enclosum aar temp.,(T) L69.9 1 1 Enclosure '

h.,.,Bru/h-A 2 7 0.31 (Eq. 9]

2

h. Btu /h A 7 0.29 [Eq. 9]

2

! h. , , Btu /h-A 7 0.17 [Eq. !!]

h,i (Btu /h-f' *F) 1.30 -

(Eq. Si 2

U (Bru/h-f t-T)

Bamer 1.47 b+h4 i U., Btu /h-A 7 0 86 (Eq.12]

To Inside Temp., *F 1157.9 1

Tw, Outade Temp., 'F 123.7 [Eq.12J 2

h..n., Btu /h A .7 0.33 (Eq. 91 i h Bru/h-f'-T 1.17 (Eq.8]

! U,Stu/h-f't T  !.50 A +h ]

]

T., 7 104.0 [Eq.13]

ADF 43.5 %

5

i .

l CA14UI ATION NUMBER REV CALCULATION WORK SHEET .013.18.14.o.178 0  ;

j ENTERGY . ENizRoyoPERATIONSINCORP. JBI NO.

i -

PAGE 34 0F 45 i

t 4 REF PA m i

! TABLE 5.7 -CONFIGURATION U1

'~

nREENcLoSUREDATA TEMPT.MTUREDATA '

w , width, (in) 42.0 T., conductor 194.0 F h6, hei8ht (in) 2 81.00 T., ambient 104.0 F A.,A., ares,R 10.3 10.3 I

e., enussmty 0.90 # EAT TMNSFER.

t., thickness (in) 0.625 GAPDATA i

e Btu /h-A' *R 1.714E 09

' k (Bru/h-A-7) 0.090 k,, Btu /h-A-7 0.016' C, (w-h/ Btu) 0.2931 Fw shape factor 1.00 t , in N/A a 8

0.20

. h,, Btu /h-A -T N/A n 0.25 i TMYAND CONDUlTDATA l Raceway Cate8ones Category 1 Category 2 Category 3 Category 4

! Type TRAY TRAY CONDUTT CONDUIT i ID ITH200R ITX200R ICK600NAl ICK600NA6

! n,, no. of raceways 1 1 1 1

, wi, width (4 dia), in. I8.0 18.0 3.50 1.90 h,, height (r, thickn.), (in) 4.0 4.0 0.216 0.145 3

d , depth, in (fill. Hf i 1.0 1.0 31.4 23.6 i  ;

e, enussmty 0.80 0.80 0.20 0.20 I j F,., shape factor 0.80 0.60 0.85 0.70 cable sue l

! #8 3/C Cu #8 3/C Cu #8 3/C Cu #8 3/C Cu d w., cable dia,(in)  !

! 0.708 0.708 0.708 0.708 1 n , no. of conductors 3 3 3 3 l

( R resistance, Ohm /1000A 0.875 0.875 0.875 0.875 l kw Btu /h-A T 0.090 0.090 0.090 0.090

] tw ,, baseline amp., (Amp) 34.0 34.0 36.4 52.0 CALCULA TED PAMMETERS Raceway 1,,,, w protected amp.,(Amp) 122 0 120 5 121.7 133 0 I n w., number of cables 36 36 6 A,, heat transfer ares, (A2 )

1 [3]

3.00 3.00 0.92 0.50 gr , (Btu /h-raceway ) [6]

156. 135. 25. 12.

q, (Btu /h< ate 8 cry)

[2]

156. 135. 25. 12. [q,*n,)

2 U,(Btu /h-A 7) 4.32 4.32 1.61 1.03 ( Eq. 4]

T,, Surface Temp.,cT) L 82.0 183.5 ';77.2 170 8 (Eq.4]

T., enclosure air temp l,(T) 1 55.7 1156 2 I .50.4 1 ;47 8 l

I Encloswa h, ,,, Btu /h-R2 -T 0.41 0.41 0.62 0.69 [Eq.91 h., Bru/h-R2 .7 0.27 0.27 0.23 0.20 [Eq. 9)

h. , Btu /h-A 7 8 0.28 0.29 0 50 0.60 (Eq. I1] I h (Btu /h-t' 7) 1.08 0.85 0.32 0.30 [Eq. 8)

U, (Bru/h-t't-7) 1.37 1.14 0.82 0.89 Bamer (h +h ]

U., Btu /h-A-T 1 73 (Eq.121 To inside Temp., T 1: 4to I Boxed entnes demsnase the paramasers T Outade Tm, T 120.5 [Eq.12] over wu itarh are camad out 2

h w Btu /h-A -T 0.31 [Eq. 9] Entnes in [ ] show the etyastion number he, Btu /h-f'-T 1.17 [Eq. 81 inSecnoa3.0 U, Btu /h-f't T 1.49 [h +he] Entries in (Itauc) apply to conduits only T., 'F 104.0 [Eq.13]

ADF 35.3 % 39.6 % 40.5% 36.5 %

1 CA1.CULAT10N NUMBER REV l

g- ENTERGY CALCULATION WORK SHEET ENTERGY OPERATIONS INCORP 013.18.14.0-178 JB1 NO.

0 i

PAGE 35 0F 45

$ REF PACE .

TABLE 5.8 - CONFIGURATION U2 l FIREENCLOSUREDA TA TEMPERATUREDATA

{ w , width, (in) 70.0 T., conducto 194.0 F h., height. (in) 2 68.00 T., andnent 104.0 F A., As.. area , A 11.5 11.5

, e , emissinty 0.90 HEAT TRANSFER, t., thickness (in) 0.625 GAPDATA 2

e. Btu /h-A .* 1.714E 09 i k (Bru/h A 7) 0 090 k, Btu /h-A.* 0.016 C, (w-h/Blu) 0.2931

}

i Fi., shape factor 1.00 t.,in N/A a 0.20 h, Bru/h-A2 . N/A n 0.25 TRA YAND CONDUITDATA l Raceway Categones Category 1 Category 2 Category 3 Type TRAY CONDUIT CONDUTT

ID ITH20lR ICK600NA71CK600ND2 i n,, no. of raceways 1 1 1 w., width (d. dia), in 18.0 1.90 3.50 l hi, height (r, thicht.), (in) 4.0 0.145 0.216 q d , depth, in (fill. HJ i 1.0 23.6 12.0

s, enussinty

• 0.80 0.20 0.20 i

F,., shaps factor 0.80 0.85 0.85

. cable size #8 3/C Cu #8 3/C Cu #8 3/C Cu

d. cable dia,(in) 0.708 0.708 0.708 i n , no. of conductors 3 3 3 R, resistance, Ohm /1000A 0.875 0.875 0.875 k 4, Btu /h-A-7 0.090 0.090 0.090

!% baseline amp.,(Amp) 34.0 52.0 41.6 CALCULA TED PARAMETERS Raceway I,,,,, , protected amp., (Amp) 124 7 139 9 132.5 l ,

n. number of cables 36 1 2 [3l 2

A,, heat transfer area, (ft ) 3.00 0.50 0.92 [6]

q,,(Bru/h raceway) 196. 17. 21. (2) q,(Btu /h category) 196. 17. 21. [qr*n,)

2 U (Bru/h A -7) 4.32 1.03 0.57 ( Eq. 41 T,, Surface Temp.,cT) 178 9 160 0 153.3 (Eq. 4]

T., enclosure aar temp.,(T) 1154 4 1134 6 1134 8 I Enclosure

h. ,,, Bru/h A2 .7 0.40 0.71 0.56 (Eq. 9]

h., Bru/h A2 -T 0.29 0.19 0.19 [Eq.9) h,~, Btu /h ft2 -7 0.29 0.61 0.45 [Eq.11]

h,a (Btu /h-f-T) 1.04 . 0.29 0.29 ;Eq. 81 U (Btu /h-ft *F) 1.34 0.90 0.74 A+h,,el Bamer

, U., Btu /h-A-T L73 (Eq.12]

T Inside Temp., T L30 3 I Boxed entnes daagnate the parameters T ,,, Outside Temp., T 2

118.5 (Eq.12] over wu iterh are camed out -

h. Btu /h-A -Y 0.25 [Eq. 9,11] Entnes tn , ] show the equanos number h Bru/h-f T 1.15 (Eq. 81 in Secuan 3.0 .

U, Bru/h-ft T 1.40 (h +h 4] Entries in (ital /c) apply to conduits only T., T 104.0 (Eq.12]

ADF 27.4 % ,23.2% 21.9 %

e

CAI.CULATION NUMBER REV CALCULATION WORK SHEET pl3.18.14.0-i78 l

g-ENTERGY- ENTERGY OPERATIONS INCORP. N NO.

0

! PAGE 36 OS 45

REF PAGE 1

i TABLE 5.9 -RBS CONFIGURATION U3A /ONE-HOUR

nREENCLOSUREDATA TEMPEMTUREDATA ww widt', (in) 41.0 T., conductor 194.0 F h., heit.t, (in) 2 24.00 T., ambient 104.0 F I A., A.,. area , A 10.8 0.0 l c., enussmty 0.90 #E4T TMNSFEA

t., thickness (in) 0.625 GAPDATA e, Btu /h-R2 ,.R 1.714E 09

' k.,(Btu /h-A T) 0.090 k,, Btu /h-A-7 0.016 C, (w-h/ Btu) 0.2931

F , shape factor 1.00 t,, in N/A a 0.20 8

' h,, Btu /h A .* N/A n 0.25

. TMYAND CONDUITDATA I Raceway Catesones Category 1 Boxed entnes designate the parameters i Type TRAY over wMeh itar=ei- are carried out

- ID 1H.012B Entnes in [ ] show the equanon number

n., no. of raceways 1 in Secuaa 3.0

! wi, width (d. dia), in 30.0 Entries in (italie) apply to condets only 1 h , height (t. thiclov.), (in) 4.0 l d , depdi, in (fill, Np 1.0

c, emissmty 0.80 4

F, shape factor 0.80 1 cable sue #8 3/C Cu

d. cable dia,(in) 0.708 j n , no. of conductors 3 R, resistance, Ohm /1000A 0.875 l k w, Stu/h-A 7 0.090 im baseline amp.,(Amp) 34.0 CALCUL4TED PAMMiTER3 Raceway l

I, , protected amp., (Amp) 123 0 I no w number of cables 60 [3]

A,, heat transfer area,(A2 ) 5.00 [6]

q, . (Btu /h raceway ) 282. [2]

q,(Btu /h category) 282. [qr*n,)

U,(Btuih A2 T) 4.32 [ Eq. 4]

T,, Surface Temp. t*F) 180.9 [Eq. 4]

T., enclosure aar temp.,(T) .I152.9 I Enclosure h,,,,Bru/h-A-T 8 0.37 [Eq.9]

8 h.: Btu /h A2 - 7 0.29 [Eq. 9]

h ,., Stu/h A -7 0.23 [Eq.I1]

ha (Bru/h-f'-7) 1.05 -

[Eq. 8]

U (Btu /h-f't-T) 1.28 [h +h,w]

Bamer U., Btu /h-A T  : 73 [Eq.12]

T Inside Temp., T I ,36.9 I T Outade Temp.,7 121.8 [Eq.12]

h,w Bru/h-A 2 7 0.30 [Eq. 9, !!]

h,w, Btu /h-l' T 1.16 [Eq. 81 U, Btu /h-f't T 1.46 [hm+h,w]

T., 'F 104.0 [Eq.12, ADF 32.5 %

4 CALCULATION NUMBER REV i

g- ENTERGT CALCULATION WORK SHEET ENERGY OPERATIONS INCORP.

G13.18.14.0178 JB1 NO.

0 l

PAGE 37 OF 45 REF PA E l

TABLE 5.10 -RBS CONFIGURATION U3A /THREE-HOUR  !

l

FIRE ENCLOSUREDATA TL4fPEM TUREDATA

' i ww width, (in) 41.0 T. conductor 194.0 F l i hw height. (in) 24.00 T., ambient 104.0 F l A.,A., area,M 10.8 0.0 c% enussavity 0.90 NEAT TRANSFER, i

t., thickness (in) 1.250 GAPDATA cr, Btu /h-M *R 1.714E 09 k..(Btu /h.A 7) 0.090 k, Bru/h-A T 0.016 C. (w h/ Btu) 0.2931  :

Fe shape factor 1.00- t, in N/A a 0.20 1 l h, Bru/h-M

• N/A n 0.25 t TRAYAND CONDUITDATA

! Raceway Catesones Category 1 Boxed entnes designate the parameters l Type TRAY over which itermeiaan are carried out i ID 171012B Entnes in [ ] show the equation number n,, no. of raceways 1 in Section 3.0

} w , width (d. dia), in 30.0 Entnes in (italic) apply to conduits only 4

h , height (t, thtekn.), (in) i 4.0 j d,, depth, in (fill. $$ 1.0 i e,enusamty 0.80 i F,w shape factor 0.80

cable size #8 3/C Cu

d u , cable dia, (in) 0.708 -

j n ,, no. of conductors 3

R. re imance Ohm /1000A 0.875 k m Btu /h-A 7 0.090

!% basehne amp.,(Amp) 34.0 CALCULA TED PARAMiTERS Raceway I%, protected amp., (Amp) 121.3 I n.,w., number of cables 60 (3)

A,, heat transfer area,(M) 5.00 [6]

qr (Btu /h-raceway) 243. [2]

q, (Btu /h-category)  !

243. (q,*n,] i U,(Bru/h M T) 4.32 [ Eq. 4] l T,, Surface Temp. cY).

182.8 (Eq.41 T., enclosure aar temp., (*F) 1159 0 I Enclosure

h. ,,, Btu /h M T 0.35 [Eq. 91 hf, , Btu /h-M-7 0.28 (Eq. 91 h/,,,Bru/h-M 7 0.22 [Eq. I1]

h,J, (Btu /h/-7) 1.08 * (Eq. 8]

U,(Bru/h-f't 7) 1.30 (ha+h,wj Bamer U., Btu /h A T 0 86 (Eq.121 T Inside Temp., T 1145.4 1 T , Outside Temp., T 119.5 [Eq.12]

h w Bru/h-M 7 0.29 (Eq. 91 h,w, Btu /h-f'-T 1.15 [Eq.8]

U, Bru/h-f"t-T 1.45 [h +h,w]

T., "F 104.0 [Eq.13]

ADF 31.4 %

4 CALCUl ATION NUMBER REV i

i g- ENTERGY

_ CALCULATION WORK SHEET ENTERGY OPERATIONS INCORP.

G13.18.14,0178 JB,1 NO.

o PAGE 38 OF 45

), REF PA E I

TABLE 5.11 -RBS CONFIGURATION U3B /ONE-HOUR

, FIREENCLOSUMDA TA TEMPEMTUMDA TA

] w , width, (in) 41.0 T., conductor 194.0 F 14, height,(in) 8.00 T., ambient 104.0 F A., A., area , A2 8.2 0.0 l c., enussivity 0.90 NEAT TMNSEEJt, i t., thickness (in) 0.625 GAPDATA e, Btu /h-Ra,.R 1.714E 09 i k((Btu /h-A-T) 0.090 k,, Btu /h-A *F 0.016 - C (w-h/ Btu) 0.2931 Fw shape factor 1.00 t , in N/A a 0.20 2

h,, Btu /h-A -7 N/A n 0.25

TRAYAND CONDUITDATA

. Raceway Categones Cate8ory 1 Boxed entnes designate the parameters Type TRAY over which ie i== am carried out l lD 11K001B Entnes in [ ] show the equenon number n,, no. of racenys 1 in Section 3.0 wi, width (d. dia), in 30.0 Entnes in (Italle) apply to condets only

hi, height (r, thicbr.), (in) 4.0 d , depth,in (/ill, 4 1.0 l s, enussmty ~ 0.80 F,., shape factor 1.00 a cable size #8 3/C Cu

{ de cable dia (in) 0.708 a n , no. of conductors 3

R reme=rr* Ohm /1000R 0.875 0.090

• k m Btu /h-A *F

. Im baseline amp.,(Amp) 34.0 i

b CALCULA TED PAMMENTJtS l Raceway

I% protected amp.,(Amp) 122.3 1 n numberofcables 60 [3]

, A,, heat transfer ares,(A2 ) 5.00 [6]

! q,,(BttVh raceway) 268. [2]

q,(Bru/h category) 268. [q,*n,]

i U,(Btu /h A2 -T) 4.32 [ Eq. 4)

T,, Surface Temp.,gT) 181.6 [Eq. 4]

} T., enclosure air temp.,(T) - 1160.3 I e

Enclosure .

h.,,,Bru/h-A-T2 0.34 [Eq. 9]

' h[ Btu /h A2 -T 0.29 [Eq. 91 hi,., Btu /h-Ra,.F 0.20 , [Eq. I1) ,

ha (Btu /h-t'-7) 1.26 [Eq. 8]  !

U (Btu /h f't *F) 1.46 [ha+hel i Bamer i U , Btu /h-A-T 1.73 [Eq.121

To Inside Temp., *F 1144 9 l l 125.9 [Eq.12)

T% Outsule h..w Btu /h R2 , T.Femp., T 0.32 [Eq. 9]

j hm, Btu /h-f' *F 1.17 [Eq. 81 U, Btu /h-f't-T 1.49 [h +hd

. T., 'F 104.0 [Eq.13]

ADF 34.3 %

~

i  !

a f I CALCUl.ATION NUMBER REV

! g- ENTERGY _ CALCULATION WORK SHEET erTERGY OPERATIONS INCORP.

G13.18.14.0178 JBI NO.

0 l ,

2 PAGE 39 0F 45 l

REF PME i

TABLE 5.12 -RBS CONFIGURATION U3B /THREE-HC u

nMENCLOSUMDATA TEMPEM TUMDA TA i ww mdth,(in) 41.0 T., conductor 194.0 F i hw height,(in) 8.00 T., ambient 104.0 F l Aw A., area , A2 8.2 0.0

cwenussivity 0.90 NEAT TMNSFElt, j tw tiuckness (in) 1.250 GAPDATA e, Btu /h-A2 ,.R 1.714E-09 4- kg(Btu /h-A 7) 0 090 k , Btu /h-A 7 0.016 C (w-h/ Btu) 0.2931 j Fw, shape factor 1.00 t, in N/A a 0.20 2

h, Bru/h-R -7 N/A n 0.25 i TmTAND CONDUITDA TA Raceway Categories Category 1 Boxed entnes designate the parameters Type TRAY over which r 2== am camed out i ID 11K001B Entries in [ ] show the equauon number l n,, no. c' raceways 1 in Secuce 3.0

. wi, width (d. dia), in 30.0 Entnes in (italie) apply to conduits only 1

h , height (t. thicht.):, (in) i 4.0

, d , depth, in (fill HA i 1.0

s, enussmty O.80 i F,., shape factor 1.00

, cable size #8 3/C Cu

! de cable dia, (in) 0.708 n , no. of conductors 3 R resistance, Ohm /1000A 0.875 ,

km Btu /h-A-7 0.090 Iw.,,, hawlin, amp., (Amp) 34.0 CALCU3TED PAMMETElts Raceway I%, protected amp.,(Amp) 120.3 I ru, number of cables 60 [3]

A,, heat transfer area,(A3 ) 5.00 [6]

q,,(Bru/h raceway) 222. [2]

q, (Btu /h category) 222. [q,*n,]

U (Btu /h-A' *F) 4.32 [ Eq. 4]

T,, Surface Temp.,<T) 183.7 [Eq.4]

T., enclosure air temp.,(T) 1166.4 I '

Enclosure 8

h ,,,, Stu/h A 7 0.32 [Eq. 9]

2 h, Btu /h-A 7 0.28 [Eq.9]

h,k Btu /h-A 2 7 0.19 [Eq.11]

ha (Btu /h-f'-T) 'l.29 *

[Eq. 8]

U,(Btu /h-l't T) 1.48 [h +h,d Bamer U., Btu /h-A *F 0 86 To Inside Temp.,7 l153 9 7 [Eq.12] ,

Tw Outside Temp.,7 122.5 [Eq.12]

h,w Btu /h-A' T 0.31 [Eq.9) l l

h4 Btu /h-f' T 1.16 [Eq.8)

U, Bru/h-f't-T 1.47 [h w+h,,,i]

T., T 104.0 [Eq.13] '

ADF 40.2%

1 l

1 -

l cal.CULATION NUMBER REV I I

g- EN .

"ERGY , ENTERGYOPERATIONSINCORP.

CALCULATION WORK SHEET G13.18.14.0-178 M NO.

0 1

' 1 PAGE 40 OF 45 1

l

' REF PACE e

i i

i i l i l l l

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15*-3* 3'-6

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i 4 .i I I i j I e' d  ;

.I I I I j 3 Of , 61'  ; 2 4*-6' - T 16'-6' , 24' i

. 1 1

• l -, NORTH ELEVATION 4

3 - 1

1

. l' WPRCXJ CINCRETE i  !

j i i

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4

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{. I  !

icmion .i item i ICONCRETE O 6'-9'

, , , , , , M THERMO-LAG l

1 l . ,

l .

it e

= 3. s.

='

i 1

SECTION VIEV Figure 5.1 ConGguration U1

I l

CALCULATION NUMBER REV g- ENTERGY- CALCULATION WORK SHEET ENERGY OPERADONS INCORP.

G13.18.14.0-178 o I

8.IRO.

1 PAGE 410F 45 l 1

REF PA E l l

l l CCNCRETE k/NM

/ istpsg. LAG B

13'

• s CA;T LEG '

• e ,A , e

,e j,

' 3,

," ,"e i

,- , aSUUTM LEG  ;

d. '

e J 5 10' ' ' ,-

I , d

/

,s,', ,'e

• N "

g ", n . , i, " a I

T a i g.. . . p.7 S'*0' , 4, i ti l 4 '

'f. . ,

, y l

,.

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V s  :  : ,

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..c , ,

w .g-

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l b 3' ( APPRDX.) . . .

h

'g.me , it aw .

{' [,j

, i, co . d ig.. u

. iteroi. . . iteam .

, , t .e.. . x 5 '- 8 *

< U c ; ////m/m2-p / wou////, , f CROSS SECTION SROSS SECTION (CAST LEG) (SOUTH LEG)

Figure 5.2 Configuration U2

.-. . . . v. . . ma .. ... g ,- , .

CALCULATION NUMBER REV g- ENTERGY CALCULATION WORK SHEET EmnGY OPERADONS INCORP.

_013.is.14.o.17s 2940.

o PAGE 42 OF 45 REF PACE

/ k' 0 f

V /

4 T'

l'-11 3 '- l'

2 2'-10' 6' l

I I

3. 5" =

3

l 1TLO123 l

\

o l l 1TC048B l' .

y SECilON VIEV Figure 51 ConHguration U3a-h1/h3 4

_CALCUI.ATION NUMBER REV j-g-ENTERGY. CALCULATION WORK SHEET .ot3.is.14.0 17s o ENDRGY OPERATIONS INCORP. 21 NO.

PAGE 43 OF 45 REF PME 1

i i

I

- 'd" 5'

A x / 4 I

2' L' iV - I fi 10- , $

8 l L,:6- 3'-1*

l'f3' }

ay  ! - ir  !'

6'  !

l l l I

=

3' =' '

=

3' = -l ,

T . TC012 1TK001B

{ g.

! l I h J '70347e~

M l 1TC047B l

_L B to-T

. CLEFT (ND1 (CENTRAL SECTION)

Figure 5.4 Configuration U3t>hl/h3

CALCULATION NUMBER REV

g- ENTERGT CALCULATION WORK SHEET swmRGY OPERATIONS INCORP.

Gills.14.o.173 81, NO.

o j l ,

PAGE 44 OF 45 REF PAGE

6.0 REFERENCES

l 1. VECTRA Project Instructions Titled "Ampacity Derating Ewaluation," PI-0103-

~

J 00203.002 101, Revision 1. I

! 2. Early, M. W. et al, NationalElectric Code Handbook, Sixth Edition,1993, National Fire Protection Association.

3. IEEE/IPCEA Standard S-135/P-46-426, Power Cable ampacities: Volume I-Copper conhetors and Volume 11 -Aluminum Conductors,1984.

l 4. Memorandum from A. Adrian (VECTRA) to T. Dogan (VECTRA) dated June 4,

. 1996. (Included in appendix B)

- 1

\

S. Stolpe, Ampacitiesfor Cables in randomly Filled Trays, IEEE Transactions Paps: l

, No. 70 TP 557-PWR, April 1970.

6. Ozisik, M. N., Basic heat Transfer, McGraw-Hill,1977.

7. McAdams, Heat Transmission, McGraw-Hill,1954.

i

8. ICEA Standard' Publication, Ampacities ofCablesin Open-top Cable Trays, ICEA P- l 54-440 (Third Edition), NEMA WC 51-1986.

9. Safety Evaluation Report by the OfBce of Nuclear Reactor Regulati'.>n, Ampacity issues Related to lhermo Lag Fire Barriers, Texas Utilities Ele'.tric Company, Comanche Peak Steam Electric Station, Unit 2, Docket No.30-446, US Nucleat l Regulatory Commission, June 14,1995.

10. Rohsenow, Handock ofheat Transfer, McGraw Hill,1973,

11. Test Report by United States Testing company, Inc. dated July 1994.

12. Memorandum from L. Ester (VECTRA) to T. Dogan (VECTRA) dated 6/7/%

j (Included in Appendix B)

• 4

13. Memorandum from A. Adrian (VECTRA) to T. Dogan (VECTRA) dated May 31, 1996. (Included in appendix B)

(

CA14ULATION NUMBER REV g- ENTERGY- CALCULATION WORK SHEET ots.is.i4.o i7:

ENTERGY OPERATIONS INCORP. 21 NO.

o

)

, PAGE 45 OF 45 REF PNI i

[ 14. VECTRA Report Titled. "Thermo-Lag Assessment for Entergy Operations Inc., River Bend Station (640.201-795-007A), September 19% i j 15. Neher 1. H., and M. H. McGrath, The calculation ofIhe Temperature Rise and Load Capability of Cable Systems, AIEE Transactions, vol. 76, Oct.1957, pp. 752-72.

16. Holman, J. P., Heat Transfer, McGraw Hill,1963.

l 7. Omega Point Report Titled "Ampacity Derating ofFire Protected Cables" Prepared  ;

for TU Electric, Omega Point Project No. 12340-94583, 95165-95168, 95246, March '

19,1993.

f .

l i

l i

i 1

I i

CALCULATION NUMBER REV e _ MPE@IX A

- ENTERGY , EmERGYOPERATIONSINCORP.

0 13.is.14.0 17:

EI. WO.

o PAGE Al OF 7 REF PA E j _ APPENDIX A CALCULATION REVIEW SHEET 4

k 4

9 4

j . ,

i .

i CALCULATION NUMBER REV l CALCULATION REVIEW SHEET Gis.ls.14.o.17: o 4

ENTERGY ENTERGY OPERATIONS INCORP. JBI WO.  !

i PAGE A2 OF 7 i

l t

l I

1 i ITEM COMMENT CALC l RESPONSE RESOLUTION j PAGE i SEE PAGE A3 SEE PAGES A4 THROUGH A7 1

I i

h

)

i i l -

l I

l COMMENTS PREPARED BY COMMENTS RESOLVED RESOLLTTION ACCEPTED UVfEWER DATE PUPAREa DATE REVEWER DATE

CALCUl ATION NUMBER REV

' g- ENTERGY- CALCULATION REVIEW SHEET EMRGY OPERAMONS INCORP.

G13.ls.14.o.17s JBI NO.

o

~

, PAGE A3 0F 7 i

1 gbG -4sH9 Eh-9G- 62 62 Adae.hmt4

?w I J l Comments on Calculanon GI3.18.14. 0 178 on Ampacity Deranng Factors 1 hy John L.ynch. 7 22:96 Phone 304-336-6437 h4 .: 1 1 Conwrsanon with Rudy Kere indicate that the cort 6guranons studiedare wry simile to those at RBS.

2 How reahsuctor construntw) is Assumpnon J regardtng the rypes ofcable considered) 3 Please provrde a copy of the sheetts) referred tofor Equanon 3 J In equan&r 2. isIthe currentper cable?

3 On Pagt 8 how are airgqs between cables accountedfor?

6 Where is Kbed computed' '

? Equanon 3 - shordd in be replaced wtth Tr?

R The owrallappmiich usedis to compute the heat transferfrom the conductor to the raceutiv, then the heat transferfrom the raceum to the enclosure. thenfrom the enclosure out. This method as straightformed but may lead to some errors. Recent u orir has been done to compute an owrall heat wansfer coef)fcientfrom a heat source mstde an enciousre to the outstde, e.g. "An ExpersmentalStudy on NaturalCounction Heat Transfer in an inclined Square Enclosure Contaimng Heat Sources" by Lee and t1po/Jssein. J. Heat Trans. May I988., p. 343 (among others) 9 Wharfactor of uncertarney as apphed to the results of this calculanon? It does not f

appear that there are any,* althowgit there may be uncertamnes of perhaps,

• or - 30%

10 Equanon 8 - theform of the equation appews to befrom one surfxe to es enclousrr, notfrom one sur)%ce to another.

II Equanon 10 - See Comment 8 andplease defInt Ai, Art 12 What is being used toperform the strattw calculations? The gray box describedis not nsible in the copy we how here.

l CALCULATION NUMBER REV g- ENTERGY CALCULATION REVIEW SHEET EMERGY OPERA 110NS INCCRP.

G13.ls.14.0178 IBl WO.

o

, PAGE A4 0F 7 1

1 Attachment 1 Respon, es to Comments on Cakulanon GI3.18. I4.0-178 Page i o'f 3 Commenu by Mr. R. Kerar

l. Provude a comparsson of the TU Comanche Peak 1hermo-Lag con)fguranons to the Thermo-Lag configuranons at RBS andjusnfy the mplacabstity ofthe TU one hour Amya; sty Derannt Factors to RBS i R The comparison and justificanon is dia'innad in Section 5.2.

j 2. Refere'nce the mplicable equanons m the Tables ofSecnon 4.0 R Applicable equations are referenced in the Tables of Section 4.0 and Section 5.

General comments listed in the Attachment to R. Kecar's letter (J. Lynch).

l t. Conntsanon wuth Rudy Kerar mucate that the con)1guranons studedme wry similar to those at RBS R Please see the response to Mr. Kerar's comment No. I above.

2 How realssnc (consenettw) ss assumpnon 4. regardng the types ofcable considered ?

R As stated in the calculation ampacity is directly related to the maximum heat that can be generated in the raceway and disapated to the ambient without exceedmg the allowable conductor (or insulation) temperature. For a 3.ven raceway and 6te barner combmanon this hmmag heat generation rate is independent of the size of the cable. The calailariaa is not attempting to determme the absolute ampacny but the reducose is ampecay due to the addition of a fire bamer. This reduenon in ampacity is also dreedy related to the reduction in the hmmns heat generanon rate which is indepemiasm of the i:rble sias. Therefore, assumpoon 4 is a reeksac assumption. It 48- time calculanon but does not affiset the conservansm of the results.

3 Please provsde a copy of the sheet (s) referred tofor Equanon 3 R The relevant pages of the reference docummnr for equation are include in Appendix B to the calculanon.

CALCULATION NUMBER REV i

I g- ENTERGY- CALCULATION REVIEW SHEET ENTERGY OPERATIONS INCORP.

G13.18.14.0178 JBIWO.

0 l t

j PAGE A5 OF 7 i i i

a i

i j i Attachment [

} Responses to Comments on Calculanon GI3.18.14.0178 Page 2 of 3

. 4 In equation 2, is I the current per cable?

l l R. "I" in Equation 2 is the current per conductor. Clanfication is added to the

{ defuution m the calculation 5 On page 8 -how are tir gaps between cables accounted for.

]

1

! R Air gaps between the cables are accounted for in the thermal conductmty (kw) of' j the cable bed. This parameter is other empincally determmed or back entml=*=d j from the published n=paewy data.

1 Equanon 3 -should T. be replaced by T ?

l 4

i R What appears to be T. in the pnat is actually T (T_ri, surface temperature of the j "i" th raceway). Subscript "i" has been ainmaata4 in the e=Iml=*=

l 8 . ..Ihts methodis araughtformed but may lead no some errors. Recent work has been done to compuse or owrall hear mensfer corpfenentpom a heat soarar

inside an enclosure 10 outadt, e.g. "An ExperumenaalStudy on Nanmel

! Conwcnon Heat 1= nsfer m an inclined Sques Eactosane Consarmnt Heat l Sources " by L.se and Goldstem, J. Heat Trenu., May I988, p. 343 (among l others).

i l R. The method has been kept inteenonally w J 1M and has been based on convenuonal well estabi.shed heet transfer pnncipios rather than case specdic j

empincal equanons. The emAguranons at RBS have two domment feenres- (1) i natural convec' an is always in parallel with radisove heat transfer which is the

' dommant mode of heat transfer, (2) the main heat transfer resistance is due to the i

normo Las enclosure. For thses reasons a detaled eveenganon of the naaral convecnon heet transfer as it,appbes to the con 6guranons at RBS was not attempted. Instead, the perumsters desenbeg the naaral convecnon were chossa j on the conservative side.

i j 9 What factor of uncertainty is appbed to the resuks of this e=Imla'-7 It does not appear that there are any, although there may be uncertamnes o( perhaps + or -

)

30%.

d R. There is no uncertamey factor appbed to the reeuks. De input data used for calculatmg the Ampacity Dernung Factors are chosen on the conservanve side j (See assumpoons 2,3,5,7,8,9, and 10).

s l

1

i CALCULATION NUMBER REV l

g- ENTERGY CALCULATION REVIEW SHEET ENERGY OPERATIONS INCORP.

G13.18.14.0-178 21 NO.

0 4

j i

} , PAGE A6 OF 7 l 1

4 i Attachment!

Responses to Comments on Calculanon G13.18.14.0178 Page 3 of 3

I l0 Equanon 8 -theform of the equanon pppeas to bepom one sur)hce to an l

4 enclosure, notpom one surface to another.

R Equation 8 is for heet transfer from a surface to a fluid medsum (or vice versa).

l Surface to surface hear transfer is calculated unng the heet transfer coefBeient i defmed by Equation 11.

l

1I See comment 8 anddeftne AI. An.

i

R A, is the heat transfer area of the "/'th raceway in a common enclosure. In Equation 10 it was also shown, madverteady, as A.,. In the revised verson of the

! calculanon individual raceways are designated by the subscript "r" instead of"t".

. t2 What is bemy used soperform the userame raklanone. De gray bor descrubsd i es not vessble a the ccpy we have here. -

R. Iterations arejI feia /. over three parameters: ampacuy, inside surface temperature of the bemer, and the enclosure air temperature. The Tables in Section 4 0 are revised to show the iteranon parummes enclosed in solid flrames Commeets Marked up es ne Calculaties

• All editerial comments are hwised except the numbers for the References.

• References (or the beeis) of the equanons are stated.

• Relevant pages of the references are included in Appendet B.-

• Cover pegs is changed to Essergy cover page.

1 Entries in the Tables of Secnos 4.0 will be labeled with the apphcable equanon numbers.

apnbols used in the Tables will be consment wnh the symbols used in Secnon 3.0 of the calculanon.

]

1 a

d 4

9

CALCULATION NUMBER REV e- ENTERGY- .

CALCULATION REVIEW SHEET ENTERGY OPERATIONS NCORP.

G13.ls.14.0 17s M WO.

0 p

!l PAGE A7 OF 7 i

l Attachment 11 i Responses to Commems on Cakulatoon G13.18.14.0-178 i

Page I ofI  !

Derivation of Equation !! I l Starting with Equation 10 and noting that it consist of three equations as follows:

9, = AA..(E - E)

(10.g) 1 l

4.*A.h,..(E:-4..)

(10.2)

?

j 9, = A,h,. (E - G..) (10.3) j rewntmg these equations as A h,., ={-E (10.4) i

1. ' = T, - 4. #

A,h, .., (10.5)

= T. - T.. (10.6)

A. h, . .,

Adding equations 10 4 and 10.5

• ' + '

~= E - G.l, A.h,. A, h,. , (10.7) combtmns Equanons 10.6 and 10.7

. T' = Ta (10'g)

A, h,. , A, h,., A,h,..

finally. Equanon 11 is obenmarl by solving for h from ETMM 10.8 h,.. = h""

^** (l1)

!+( )(h,,, )

CALCULATION NUMBER REV e- ENTERGY- APPENDDC D ENTERGY OPERATIONS INCORP.

G13.18.14.0178 JB( NO, o

PAGE B1 OF 45 REF PME I

l l

APPENDIX B SELECTED REFERENCES

1. IEEEllPCEA Standard S 1351P 46 426, Power CoMe ampacities: VolumeI Copper conductors and Volume H Aluminum Conductors,1964. [Rel Sl

2. Memorandum from A. Adnan (VECTRA) to T. Dogan (VECTRA) dated June 4,1996.). [ Ret 41

3. Ozisik, M. Pf., Basic heat Transfer, McGraw Hill,1977. [ Ret 61

4. McAdams, Heat Transmission, McGraw Hill,1954. [ Ret 71

5. ICEA Standard Publication, Ampacities of Cables in Open top CoMe Troya, ICEA P 54 440 (Third Edition), NEMA WC 51 1986. [Ref. 81

6. Safety Evaluation Report by the'Of5ce of Nuclear Reactor Regulation, AmpacityIssues Related to krmo Lag Fire Barriers, Tesan Utikties Electric Company, Comanche Peak Steam Electric Station, Unit 2, Docket No. 50 446, US Nuclear Regulatory Commission, June 14,1995. [Ref. 91

7. Rohsenow, Handbook o/ heat Transfer, McGraw Hill,1973. [Ref.10]

8. Memorandam from L Ester (VECTRA) to T. Dogan (VECTRA) dated 6/7/96. [Ref.12]

9. Memorandum from A. Adnan (VECTRA) to T. Dogan (VECTRA) dated May 31,1996. [ Ret 131 10 Neher J. H., an'd M. H. McGrath, & calculatson of % Temperature Rise and Load ,

Capability of Cable Systeme, AIEE Transactions, vot 76, Oct.1957, pp. 752 72. [ Ret 151 1

11. Holman, J. P., Heat 'hans/er, McGraw Hill,1963. [Ref.161

)

4 l s 1 j

CALCULATION NUMBER REV s j APPENDIX D G13.1s.14.017s o l l ENTERGY ENGY OPERATIONS WCORP. M NO. -

PAGE B2 0F 45 1

REF PA GE i -

1 i.

1 inans us j iPCIA Pub. No. P.44 424 l

Power Cable Ampacities  !

i

! Volume l--Copper Conductors i s i

l 4 INSULAT10NS: IMPREGNATED PAPER

} l YARNISHED CLOTH I i

• RUSSR AND THRMOPLASTic '  ;

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INSTALLATION $s IN UNDRGROUND DUCTS l  ! . _. BURIED DESCTLY IN EARTH IN ME AR IN CONDUff -

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CA14ULATION N'M I REV

_ APPENDDC B _013.is.14.017s , o i -

ENTERGY , ENTERGYOPERATIONSINCORP. SJ NO.

PAGE B3 0F 45

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APPE141)IX D G13 18 14 0-178 0 i

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ENTERGY ENTERGY OPERANS INCORP. JB!NO.  !

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I

CALCULATION NUMBER REV 1

g- ENTERGY APPENDIX D ENTERGY OPERATIONS INCORP.

G13.is.14.o.17s IB1 NO.

o i

PAGE B5 OF 45

! REF PA E

m-es-tm sween mm w. an,i-i, m otstm ..et

. 't . l l' g l ,; .

l i I , .

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' Froottil i Aeros Adams i i Deans 6/4/96 i

{ l,;

Compaar VECTRAT '

(

l: r Inc. . Tanet 3 06 PM l  ; , Ihe followsig is prowled la msponse to your thz ofMay 30,1996: .

I r Conarmation .

8

' i. . e . '

j ' t. Coninnasion ofitsen I can be rande by 1.es Easter. -

, i j '  !

i'

... :l l l ,

i-2.* Consonation ofiuse 2 is provided in the attached marked ngs table. l ,

.  : i* .! ;  !  :

l,. 3. Conammeldium ofitan 3 was made by prior faz dated 'May 31,'1996. f' '

t'  ! .I l i

, ' hI f',  ;' l l  ! I' i. .

! 'f. on the arEar=aam of receways is prowledseed cross I;

drawing M in die phesos besag seas in the snail. I west os its 6 aid and took assas phesoe l.

to habps visuakse M the inade of U1 and U2 look las.j Cat ad ifyou would liid additionalinfortmanod

..i i

[

Photo 13 d i i i

i  :

l .. . . , .

l i Viewinside U1 (Thermo4.ag 3301 penal rarneved). Shows 4' x 1r trays approssnesely l l' to 127 apart, mousseton urustrut supporte. Therreo. 3301 piiasis are amounted on l separmaunisum W j j  ;

j' e . -

j . .

i.

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. Phote ..# 21 .

! i .'

i. . . ,

I Viedo6mest and off edesel showing a anan pornoa ofU1 bemer deC), but maq ,.

I M a coisparakik (redundant trum) racewey ryssent Four stacised ersys withtaustrut

, mappesen. This arrancesamt is the same as what is inndeUl.  !

l PhaseM .

l l h l 6.

.  ; I i

- View of Stan6y ser+ ice Waner Cooling Wasar Tower chian. Verneelirays in;clude 8 ' -

,i 1TM202R.1TK20241TC20dR and ITX204R. Reimavelypnclustered spacq

! i  :.

i. '

.t I

i

.' I i a

.  ; ! 1

. l .

l.

r . .! l

. . i' ' .

.l l ,e.

l m eI

.i

.s g

t

.i .

l m uits -w m m,,,

9

CALCULATION NUMBER REV

!. APPENDIX B i - _G13. ls.14.o.17s o

- ENTERGY ,

emDtGY OPERATIONS INCORP. Al,I NO.

PAGE B6 0F 45 i

l REF PA 2

owms esteem N m ioar angine.cias to etstemes *.aa i

l l . .

ia i

. .l t . l i l  ! a l ,

i-l  ; a 1 -

i i l I I i i'

i sii  ! l i l

l Phose et .

' . I l .

I l ,ll -

I [ l i

l' -

War,nenkukie ofcanEng tower chase loolong a the oph isso 02 Thartmo-I.ag .

33($.1 Wunsed trays Od 0,nansi). The onirirers thes eenWeese in this ares se i  !

• l'!1001 A.1TC2m dad 2TX2022, and the only condusd time esa bi seus in ibe . l

}  ; Theruukag 201 boiad ares are 1CK600NM2, ICC270NQ, ICE 400ND2.  !

ICK6005tA7 and 1CQ70le. Note: The condums and asys are aos, wrapped operasely i

• i 9, l Phmes adB $dow l in de sea, I hops umy wGl be! helpM i l '

j l *

!! j  !,  ! l  !

! , 2. Indbruldales sessenwig masenal unakases see idesided per leispheas oceveressoa as

'  :

• I hous panel,1/2 insk + up issW- 0 inches.

I i

l 3 homi peast = 1 insk f 1/4 inchA 0 inches. l!

! I j

i l

, , I how preemmed halfIround = 1/2 inch

• 1/8 inch 4 0 indesi i l

l l . 'J Qproforuned half!round = 1 inch

• U4 incW. 0 inches .i j

. i *; .

l'  ; I 3.' ne aer)n was afr aso ammais scales beween 0 as 2'4 and 3 dr wegm37Y.

i l Ca4 h d inamnemon is supared. I 8 l

!' I

4. Tae'lHirmedag 330 1 prea===d halfrounds are rough h andM was dry l

- raeussed to the esedu it:se ther gaps and spaces was aos indd k is reasonabib to assume 1 i

i

! &:= ==== of1/4 inch gap as one ads of the osadia. l:

t i6 l j i

Y l l 5.NAI {1 I

, .e. , i e .

6. croedvennem. Drewwe as.590Aindiceres therJunemen ben 1*23072is acusssted 5

- con &ait tCX9110A winsk runs through the F.ammet to jousins bo( l'22104. FLMS '

O l

arubcuss thes 1'520P2 is locased in the F meant but contade to enhaus and him me b'h

: connesdag ceasst. 3eanrecious, PDM 5 idassdes 1*JEI104 eransmed to ICX9110A I l connectedto 1*20272. PDMS lises cables "iNOX400 medlC3NNOX41b in i j . l'IB0871 We cannot asserten a this time sa=dn=ris com te. km we een asunne

{

that these is only oes pancaos bem as the and o. Madds, therefe.'s, use the'two cables identded above as the seetness ofl'52072. '

. l

~

7. I  !

i. 4  ; .o ans he by Lee Esser.

I i

e .i i .

y

.ie / /  ;\/

m i

,  :. I

.n -

, Aaron Adnas i I  ;

I ll (see)3st.ases  ! -

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I

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l >: -

I l

!l

• i:

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l . i!l I' {

m se ss tsits -

- m ,,,

l -

l *

' CALCULATION NUMBER REV j -

APPENDIX B G13.ts.14.0-17s o

- ENTERGY. ENTERGY OPERAT10NS INCORP.

.T,I NO.

PAGE B7 0F 45

(

! REF, PA I

as-es-aves artspri act w .w se,n cing to ststa m assa *.es p  : .

, j . .% i i i

l' \ i e

l 'l Tdten 3 . deigne Coadgesindes I f

l

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c-a. = =-

l

}

j =- t g,1 l 5 a- N -

U1 1*JB2073 r' . .' FT1- Assug fiore out~! 2.gidad huu Qude.4 ( :. 11. BL Ai5ee 1  ! 7.hois :T ---- { '  ! 9388 ofl%mnal"F" bonese) appeen. 4 ft.

4i$2 IAE -

l ,l .1r1tMAe 'hi [O %hejd swCM6d88 '

t j icggoggAs 7' N. -

mad E S 1. XI129 E j'

' AadL DS;d od2 ,

iI l 4CEdeeled- Ve4 I i

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l 1 i g;maspetp. 2.rt;.e k l . .

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t

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j ITczast iTHROM. f- l i

j t v

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i JTX20s.  ! t -

t

' I

• ' LtCK50GIA7 -" FT1 IAlang Nore wou '

2.ededher-(ade4. W. Al .

tCKdOGIDI / beams)appreu.'e AJwide j JTC20m V .

l'ofTuned'e' x 8 A. high W 45 A. long l 6 i

LTeana '- '

l '

ITcsom s' i .

1TC204 su * **ft',*l C"'"

l

• ll. .

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64 Gas e 'as P * '*4***S8

! IITIBM /

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det.merc.use 8'

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i ITI.ets v 17L0123  !' l* l i -

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.I A m as 'ss tsitt i l.I.l ! t t'i : - I ; I . - l

,leuciri,ing,ytet.f 4 li3 1 I ss.!

ad m p! l .

saastaaer seas.ss

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_ ~2 _-- =.-: :-- ___ _.._- -----_..__z:.._=.---_-- -

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. - ESSENil4L caaLE TRAY 8_ ______ __ _ . .._ ;_ _ ____._ _ . __ .__. ._ a

^

'Appstoana8ATELY S INCHE DISTANCE admNEEN 0$at,EMHAVE:

.- -a ne cAaLETRAY auswonTS ASEAEPHoleasATEL_y e LEECHES WlOE. ,

.TeiEIRE N APPRolepIATELY 4 N00HES OF OLEASAlfog gg_WNT8 W g.

30 n

. . _ _ . _ _ _ o z ~d '

m O E I {

l._ ..

_cc.._ __ __ ._ ;- cdespARAsLE CONSTRUCilON TH0HNeeUES- - - - - - - - - k

r. I d

.=

4RE usea con ENoLosuaes us ANo us g g e a t :--- . - -- - - - -

. _ . . --- - -- ::_ =_ __. ._...:.

l g

as .

Q

- - _ _ . - _ - - . . _ .--.-__.a _ _ _ . _ . _ . - _ - - _ _ _ - . - _ _ . _ _ _ _ _ . - _ _ . _ . _ - _ _ _ _ . _ _ _ - . _ _ - ~ _ - - - ~ _ . _ _ _ _ . _ _ - - _ _ . _ _ _ _ _ _ . . . - _ _ . _ _ _ _ _ _ _ - _ - - _ _ _ _ _ _ - _ _ _ - _ _ . _ _ . _ - _ _ _ _ _ . - _ _ _ _ _ - _ _ _ _ _ _

1 i

l CALCULATION NUMBER REV l

l g- ENTERGY -

APPENDIX B emDtGY OPERATIONS INCORP.

G13.is.14.o.17s JBI NO.

o PAGE B9 OF 45 REF PA E I

• i i

t 1

1 j

l

~

l

. BASIC HEAT TRANSPER l

4 e

i

~

l A

M.Necati6ryk .

l Professor of Mechanical j and Aerospace Engineenng Nortn Carchna State University l ,

k 4

McGraw Hill Book Company .

j New Yoru e St Louis e San Francisco

Awctiano e dogoti e Ousseicorf j Jonannesourg a Lonoon e Maone l Venico e Montress e New Dettw

! panama e Pens e Sao Paulo

[ Singapore e Svaney e Tomvo e Toronto e

0

=

w

m , ., -- -.

i l

CALCUl.ATION NUMBER REV i

g- ENTERGY ~

APPENDIX B EMRGY OPERADONS INCORP.

G13.18.14.o.17s IBI NO.

o r . .

1 PAGE B10 OF 45 REF pie J

I h

10 soms Mest fransaur j Then E4. (154 m wr.sen a the form j .

j g = 4(Ti - T)

(17) i which a analogous to Eg. (12) for convectrve heat transfer. The approssmate.

I simp 4e expression for radative. hest aus given by Eq.1171 m appimatie onsw if jTi - Tl,T: 41.

i i

4 k '

14 COMBINED CONVECTION AND RADIATION i

l When heat transfer by convectace and by radiataos are of the sasne order of l magnitude and occur sunultaneously, a proper analyss of best transfer by takag 4

• mio consadoration the sateracties between the two modes of heat transfer s a l very complacased matter. On the other hand. under very restrictive conditions j the heat transfer by sunuhaneous cose and redsatwo can be determined 3

1 approssmasely by linear superposanos of heat Suses due to these two d:Serent,

' modse of host transfer Consader, for exampia, the Sow of hot combustion products at temperature T, through a cooled duct whose walls are kept at temperamare T.. Combustaos produce such as CO CO. and H:0 absort

• and ema radetson. Therefort the hast transfer from the gas to the channel walls is by both convectwo and radaation. and a proper analyas of thas heaf.

transfer probiete requires a sunuhaneous solutme of convection and redation i problems: but the a a very complicated rnetter. If the radstrve component of the hast Rus is not very strong. the total heat Sus g from the gas to the wall

} surfam mm) be computed appronunsasty by takes the sum of the convecuve

• I heat Aga g and the radstrve host Gus q, as I.

( = 4, - 4 i (3-8) l

, When stie reisasons for the convective and radiative heat Aus green by Eqs. (12) -

' and (17) are stroduced mio Eq. (18) we and g = A,( T, - T.) - 4.1 T, - T.) = (h, + 4,lt T, - T.)

\ a .

l g = h,,1 T, - T.I (19e) l l .nere the cr=#wd ci-recre end rederma neer.rrenefer corscient 4, a deaned

as i '

d

h,, = a, - 4 (1 96) 1 6 P

i 1 .

4

CAlfULATION NUMBER REV 4

l g- ENTERGY APPENDIX D ENIERGY OPERATIONS INCORP.

G13.18.14.0-178 JB1 NO.

0 PAGE B11 OF 45

! REF PA E 1

f 1

to tems nem Transier and ins onesome c, and c, we es==med he tes waues of Eas. tuoi =

4 i M i.,

c, . 47. - T ,

< u ,6, c, . > r. - ss r

. e-.

Thee its inoperseme emsnbause Tirl a Las spasm tussess 1 1

' ( 9 21 Tirl.ker.{"-If+6T(I-) i

.s.n.ees., ,e -

1hs m. _ t c, i u s.i o-c,3m. . -a y s . -4 f

and wome C, s ===d he E4 (Niel == eben

( 9 36) l Q = .=& k iT. - T l = 4, _', i 1

we sees insa ser se hans paarsons the essa bass easseur reis 9 s adspeseses of '

p,==

3-4 THE CONCEPT OF THERMAL. RESISTANCE In the probisms of oes<imasesional standy-stam host conduction a Asim repoes for the spenal asse of no heat gamernuma, onestaan thermal conducuvity. and ,

prescribed taumperature at the two boundaries the total hast treasier raw Q through the soisd can be reinsed to tas thernielresusance A of the sohd in the form

]

(3-64)

Q= ,

where Q = total heat-transfer rass through solad. Des /h (or W)

AT = ddiereams herwese temperatures of the two boundary surfases of the repos. *F (or 'C)

A,- thermal ressemass of nothL h *F/tts (or 'C/W)

The ibermalresistaans coessps a analogous to the sisars.ressnense concept deemed by the relanos

• " (H5)

Currentc= "*tric rosastanas l

l 4

9

CA14ULATION NUMBER REV MPFEDIX B 0:3.18.14.0-178 0 l Ow ENTERGY-ENTERGY OPERADONS INCORP. m NO.

I PAGE B12 OF 45 a

REF PA E i e 1

4 C:-- - h :-- i Seesse lune St Clearty, the total heat Bow Q 5 aasjogous to the sisctrar curtvat and the temperature da5sevase to voinage dassroess. The therJ- .- - conoopt a 4

used a maar enginsures _ We now esamme the determaatse of i the thanaal reestasses of a slah, a hoGow cylmder. and a hollow sphere.

4 Slee Consider the oes<tamenmoenL senady-etsas heat ooeducune through a slab a the A, regios O s a s L havag a onestaat thermal

m., & and boundanse at z = 0 and = L kept at undern maparasene T, and T,. respecimiy The solutaos of the protissa was comandsrud previously a Esampie 3-L and the heat 2

Sus g was press by q = 4(T,- T,)/L Thee the tosal hans transdur rase Q 1 a .

through as aren A of the slet a grves by Q = Aq = Ak _Te - T, , T - T, 1

L  % { 4e

! * 'I where the rAsruial remstaner af the slab Q m dadaad as ,

,1 d L A

nne = g (3-ddf)

. Hollow Cylinder  !

. We now consider one<lansasional standy smas best coeduernos through a hog [nr

,, cyteder a the ressoa a s r s 6. havns a seemaet theriaal coedmettetty 4 and d

boundanse at r = a and r = 6 kept at undern esaparatures T, and 7,. respostrwely, The tomi heat transfer rate Q throegh the cytader om a leegth N of the i 7 evimear can be ottsaned from the solution of the same proeise snee by Eq. (3 34) l n as 41

, Q = g,xUf ,,,,,

(T,- T,) e To - T, (3 47a) where the therniel resussunse af the tvunder A.,, as dadood as at la (6<st

, Ans 8 ;,gg (3476) i The theresal resutaase geven by Eq. (3 476) is now rearranged la a form secular to that for a siah:

g , la (6ien, (6 - ella (2mbM/2aa#) , L,,, la (A,/4) , L,,,

2xAN (6 - al2s#4 7

( As - A,)k A ,, A 4

s

4 CA14ULATION NUMBER REV 2

APPENDIX D G t3.ls.14.0-17s o v ENTERGY. ENTERGY OPERATIONS INCORP.

181NO.

l PAGE B13 OF 45 l REF PME i

4

}

e 318 i

ae

!  : 'h t h it h Un _

~

.it.,!!, ,!!, ,!,! ,I li li -

! 1 -.

1 1

i 2 t t t t .

j 33 31 45 t .J

', i *gl-ri es  !!

!- k'J h i

l -

g 1 ,, ,

k *g

}tn Y 2j ! .i ~

ts 2 R' 9

4 <. .

. .. . gy .

~

! si ,i, g. 2 5

= 5. -

r -

= y 4 s

4 . is in s .

.: E g

• ~

i l -

.l j

-j :lJ .

1 l ,

lI '1-ll ]-] -

Ilj t,l' of 5 l _F 19 s  : .$

~

t

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-- } - II l[ !.fff 4 4 ,  ; ! T;'#'g '# - k a i 4uU11111 e a - 41 , 1:}.<.j u n l-4 I i N ( . i d l . 1 i '

I i 5 " CALCULATION NUMBER REV APPENDIX B -o13.ts.14.0 17s o ! ENTERGY MERGY OPERATIONS INCORP JM NO.

PAGE B14 OF 45 I

t REF PAG! j .  : i 4 1 i q g. - 1 - 4 1 d r -- : is e. .v a

                             ~

i

               ===          -

g

                                                                         . hk                                                       a i --

{)

.-- ue <

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! . , t. en 4 ' 4 __, o e. 4 l ---: ,! c #

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3

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                                                                                                                                  .i -                               3 E-

{ a, u -- 4 s-1 s -3 2 l ME .. N.i l 0. 4 0.2 OJ 0 4 OJ te e.g : j w -

                                                                                                                              >      . s'. ,' ,e        ,' I-l n.,,, p                                  .

FI4" 12 3 v e ,p s,.,,, 8'e amannis asu mi d I .

                                                                                                              ,,,,,, ,, ,' {,8,)
                                                                                                                            ,                     Wdew 4                                                                      <***

1 it r,=4,-4.-4,-4, are (1*.20) faciers from da to the areas,4, O = 3. www4. 5. 6) asThen the m a ~ i i isle i . pio 44 ' ene - T , . 4, = Fu . .. - Fu. . - F,4, . 4,

• Fu, . .,

(12 21) 4, i 1

            ,.4 nt.

thun the www4ainer chart sma,4,by deseramed,

                                                                                                                                                       . ,, r, Fig.12 2. hense the i            m                                          EJasedr IN r

to a ciremaar dub A, of taeus A emob are paras iDunermee andyisee the ve , 1 deianer & as sheen a Fig ja.7. s to amat staar and peastisend as a 1 4 i k 4 1 .1

CALCULATION NUMBER REV { APPENDIX D G13.18.14.0178 0 J i v ENTERGY. ENTERGY OPERATIONS INCORP. 21 NO. PAGE B15 0F 45 i REF PAGE ' l . l T I

                                                                                                                     .iV l

l 344 Besc Most Transfer 3 ! TA0LE 11 3 Erneenemes of vmous Surteess' i Taver-j Mawal ,,,,g f

}                         Asesstos:

. Board 100*F 0 96 ! Cloth 93*C 0 90 i Paper IWF 0.93 l kd: ! Red 0- 93*C 0.9) l Red, rough 0-2WC 0.934p$ Ceramas: j Eartlwnwert samand FC 0 90 j Earthen =ese, meets FC 0.93

Poresina 2*C 0.92

, Jefrestory, bleak 93*C 0 94 Clay 6 red 158'C 0.91 Coacrum rough 0- 93*C 0.M l , Glass IWF 0.90 i Glass, sesott 100*F 0.94 4  != 32*F 0.92-0.96 Lacquers: l Black 93*C 0 96 Black os iros 0 93*C 0.473 l

C1ser. oss the cost os ,

j tarnshed, copper 93*C 0.64

Ci r.n.o s.. cei.re mad  ;

i copper 93*C 0.7 W hate FC 0.95 f White. heavy cost os bright copper 93*c o.93 Lamptinck.0003 m or thscher l@*F 0.95 Marete. light. grey poished O'C (193 4 Metais: l j Aluminun pointed 100'F 044 Aluminun omiaand 100*F 0.J0 - 8tasCpotehed 100*F 0.10 { i Brass, ondse s 100*F 0 46 Chronous. pokshed 100*F 0.00 l Copper. petshed 100'F 0D4 Copper. asterend 100*F 0.18 Copper. andnad 100'F 0.73' Copper. binsk esdeed 100*F 0.87 l , 4 Gold poinkst 100'F 0A2 l' Iroe potshed 100'F 046 tros,oandasd 100'F 0.74 i Land, pwe pokshed 100*F 045 Last yev. endeed 100*F 0.2B '

Last unoandastrough 100*F 0.43 Mercury 100'F 0.10 j Moivesseum, poished - 100'F 0.06 i

i 1 . i

                                                                                                                                                     ~

i 1 1 i CALEULATION NUMBER REV i g- ENTERGY . ENTERGYOPERATIONSINCORP. APPENDIX B . 013.is.14.017s 181 NO. o t 4 PAGE B16 OF 45 i i l REF P/ G l i l i - l l

                                                                                                                                                            \

l 1 i i i HEAT TRANSMISSION i l I l } - L 1 . t

1. WILLIAM H. McADAMS i

hv/emur af CW InfeassNW f "'a' y e.ases lasmus at famissey f , a * ! No Spememd bv she  ! i . - ca m.s en K s Tr -= l .Vainemel RosesPd Commel

• d i 1 )

{ reene ,. TameEames

                                     ~
                     .                                                                                                                      Se McGRAW. HILL BOOK COMPANY T090NTO       LDftDOM
                                                         ,        7tEW YORE 1954 9

9 l P9 e

) CAlfULAT10N NUMBER REV l g- ENTERGY APPENDIX B IwrERGYOPERADONS INCORP. G13.ls.14.o.17s JBl.NO. o l i PAGE B17 OF 45 REF PAE 4 I

o I

l Is star raaxwtwox l Weills and Ryder" measured contact. or junction. roemeiente 4. between metal blocks hartag surface temperatures ti and te: 4, = ,,T,, .m i l which increased with increased. pressure on the blocks. For example. l { l j with rough sluaunum at 300*T. 4, ranged from 500 at 0 gaup pressure j to 11.000 at 3.800 pounds per square nach. At 300*T and a given pree- , sure. A, sacreased as roughases decreased. Brunos and Buckland* report i 1 contaes coe8ments for machmed jmats.

l. Cenakale and Fisheades* ena== ed costaat coeSeients for metai  !

bleeks of steel, brass and alumanum ground to vanous degrees of touch. ' { nees. mth nat. spindle al. or styeerei sa the voids at the junction. Pres. 4 { . t

• sures ranged fross 19 to 300 pounds per square inch and 4, ranged from  ?

540 to L2.500. An mteresung theory was developed for predienns coin. tast e=Aa-ts frosa fundamental factors. [ l Isos Meter. Over-all reestanees for structures,in service raar he i deteranised by the use of the heat aneter.'" which measures the temper. . sture drop through the known reestanee si the meter. By se6ultane-  ! ously measuring the temperssure gradasat through the wall itself, the , thermal conducurity d the whole e all or of any laver may be measured. i even though the use of the meter reduous the heat Sow compared with that frees the bare wall. Precautions abauld be takaa to secure data under standy conditions. Van Dussa and 71ack" report expenmentalle l.' t - I ! ~ deternused ovee-all thermal resutaaees of a number of walls and naso andividual reewtances of the vanous components: an pmeral, faarty naris. { factory agrosenent was found between the predicted veJues and observed a j .esults. UN!PORat DrTERNAL OENERATION OF EEAT IN 90 DIES 1r!TE BEAT DisstPATION AT ONLT ONE SVRFACE Flat Plass. Canader a Aas metal plate ideally insulated ascept on one surface. Heat is genersted undorener str- M the plata by ady . How of eierencity and is dianpated at the colder surfan by transfo sa a i n oonling liquid. 14s g, repcment the total gamersues in Stu per ner.

• i - 1 Since the poneranon w undorm throushout the thsekasen the local heat j current g, at distance i from the adialmue surfaes as h j

                                                                                       = v ' = -u g 3                                                                        .

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                                                  %~ -                                      uurrus statue f                            wuct. san manutA70sw comenessapoN s                                                     em. s.a.

' k,,,.* e j 1 { sarrTv tvatuattom av Twr errier or Nuct rae eraever ereutattau , amenerty itturt artatre in 7,4i-.taa tror esserrat inat trrit tTire rtretete ec _.. i C'ssasseWr star fffast FtrPfefe fTaftfd talft 2 j nneyry g am ... 1 foteentam j 1 - (SRT) found wartees areas of concern eaterials. vue. Lag regarting the see o s ! earameters ereviously estaaltsnee for Theras-Lag fire terriers-One ar tasues Generte Letter 92-08. *Thefee-Lag 338-1 Fire Barriers ' The unC 1992, to previse furtner infermetten en staff concerns sueject. en Deceaserrelated 17 to tats ef Comangne Peas Staas Electric Stattee (CP5E3) Unit 2. Te Electric cessany (Tut /the Itcensee  ! tattisted a teettag progres to semenstrate the2.accostantitty Unit of the continese)use of Thorue-Lag asterial at CP5ts The Itcensee tests oefers tne first refueling coaststee cycle at CP5t! to consiste Unit 2 the reestree aspecity serating The iteensee carrier cearieuratta== coneucted at ~ - a series of associty dersting tests for Th orse-La feras. free nacen 3 enrouga marcametat Laserstertes root 1 in im A=' - =,g fire I oreparatten ane sessing .r ... sa. ..... Tne staff esserves test s 6.. Mergs 7, 1993. The first test groue (tests coneucted fres March I through 8tergh 3.1991) coaststed of a  ! _3/a-tack-etameter a z men.aumatae = eenett

                                                                       .s atta   a s w         with a         a steele 3/C pl8 44 GW-volt cooper cable see secone test groue (tests com                                m - - u m -volt cooper cable.' The consistee of a 24.' === = ^~eucted fres meret 8 tareiiige norst 1.19g3) with 3/t se A W "" ' =le -              aat" &n= filled to a single 3/C #6 AWB '"" ;;st cepser caste.caales anit a free atr dres tseell) anse er a censucted free fierch 18 through Meren                         The final test greep Mrst 1/C f aa with aENtw """ ;ter fle arm ""le.1993)            "a='*coaststee
                                                                                                     -     r             of a
                                                                                                                   **les and eter UC 758 rus ses-ve;tt             essaar st capoor sasies. caeles ans a free air eres (large) asas af three The Itcenses assacity derettas testmcometneesleer                                                 in eraft                   felleuse tn
                                     .  *eroceeure for tne Determinatten of the Assacity Derettag of Fire Protected                     .

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  'g- ENTERGY APPENDIX B ENTERGY OPERATIONS INCORP

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t i Umag the emanal model duaspbed shows ! munker of physeal paresseums use wune SNL postened sewessi anulanses a which a i TUE and an $NL's knowledge of howensk a esquemed a mesmpen ', l hamer Sm andmasse um pograms.e es TUE empenny demang program and to Seenames psev j i commes demonymeas of oil sense of the two eur dse hamar smale ter sush moisen indsnmemen had est beam enamosnt st assar ad hame;as requess i s need essensrwe and epises indonmense were anede m TUS.) j I The paramesure wiemh were waned a a enames rett unes- a e a based TUI's applesas a Cable Trur Widdr Wieks Anas 17 m 36" were evaluesmL Is psmeral l seven'Irur-sheer 8pemm8, *Hier arers well aslEur & pesar empemsyg cable. masses N of me M Mes The h =Ma I hee 8- esigpw adjewer l ediimpens ensemey i s':T., has awassemed lower war es.sie -uneems. eness enehamm k Theimpar as sendard ampenny dersmas som e ne mens sur sysmand in IEE as Trup e> Tsar Spammy TUE sums in as molyuls est she asumen ea spesug ammmmmmed a ne tend e a peseur empenny>ampesteer emaisseus is t'. spamag udt b sammt, a seemer tous P e 13*. SSR. has evemened sur es eur spammes sepas A sember of paremnans were held emmenos dwough at of the mandamens Th , eme asiede: 8 K.,,= 0.09 BTU 4r 41 T (based am SNL 'munnel K,

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                                            = S0"C (sammmmme modi TUI emelyussi s, . o.s (emble emmeway si          0.9 (hemar emmewa)y)

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                                                                                                                                                                                 $sr fue russess F!

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                                            . meesmed amedd senmal                                  sends usuid yesad leew sheshan daremms deser pseessoas esa these TUrs asang.

I The hase emmes' mushe es amulases of angle ser ese hamer ensiamous etiesi === cateulsed vous to enpeal weruse of FITCOND. lies mahnded's emindenes of boek ae ! l j Thom Las maissem send a mens uun presumed esmal pesar desesF ad te poner dame  ! i m me nemmst maghi sur amensrer earness Table 1. tasma preessed by es SNL sedet hr venous espes et ashie 85 se pwes*m i ! 1 d, i { Tahie I: Nemunal mapaany derseas bases Amr i e angle war. U2* T'_-; W See hemer j 8Funni preened br te SNL esmel model l FITCOND. et FIE On.) Daruses Canesnem Famer (94 Famer 1 34 2 g.ssa 2 3eJ e.898 ) 3 i 24.2 g.73g 4 23.1 ! g.779 i h w ese weines addsk tese to hems der esmyanmaa a en halense of to assidanes resu j prammond me meeSed sames et me FITCOND pses en ham The mmmader of to SM. smulamans desenhed base muse pergunned i teges meer esswo h) er messv:e (s(TWOTRAY) easevenweb use emovesass a she m% i a i i 4 I d e

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PAGE B25 0F 45 1,

REF PA E 1 . l i a ,l d ', l i ! Handbook of Heat Transfer i i WW I WARREN M.ROHSENOW i I l NWumerof neeshmummiEnsuunnas l u--Ismeans of Teenneessy ' i I JAMES P. HARTNETT l Head. Deserenene of Ensrer Enesuunns i i uneuersey of Iliemens a Camames Cirgio i e t ,i ,- 4 . t j i j . l - l MsGRAW. HILL 000K CoerANY )  % J NousYork St. Leeds sen Fransmeo DesuMarf ! Kuale Luensur Lansion Moses Mesuresi Telsye Tesemos New Desti h Pune Sao Paulo Shoempose Syalney i 1 i . . 4

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1 m k i F19,11. Radannen egi ibnum tempereews u, . 0*lt). j is thus seen to depend on not only e alone but the ratios,/v. Appronunate values of thess opacal propernes for typical temperaturt> control surfaces exposed to solar j radiacon (14) are listed in Table 4. TABLE d. Emesamty and Seear " . . . , of Setsened Searfames krface (500*R) ie i e, l e,s e sumnawa (Duffset j 043 0Je 12 g gold (peaest) l 0.03 OJO lo l pose (vesuum esponied) OA3 0.24 8 - nasuses sient(pensned) lOm

                                                                                                         ,          0.40            8

• alusunwa fed (dus) 043 0.21 7 tantaluse 0.08 0.48 6

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items 41 0.11 OJ9 JJ caream 0A8 024 3A nastal 0.14 0AS 2J aber 0.02 044 2A alueenan !pehessd) CAS 0.10 2A atumunus tansettuned) 0A0 040 IJ biask nsyt panneias(dnt) 034 0.93 1.1 , blask abcome past(flas) OJi 0A9 I.8 Lamp tiast 0.95 0.95 iA yey shcess punt _ 0.96 033 OJS wouis missons pont M 0.7$ 0.26 OJS

                                                      . magunas                                            0.95     0 14           0.13 t

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I l' l l 1 Author Lee Easter at VECTRA leorcross ! Dates 6/7/96 2:$8 PM 1 Prioritys Urgent ) 4 Recespt Requested ) I To Tahata Dogas at VECTRA. San,Ramoa ! Sua)ect Ras Raceway F111s

.................................... Message Contents .....'...............................

Here they are. Actual tF111 la based on caale and racewey dimensions. PDMS tF111 to based on the tFill Limat. Let me xnow 12 you need more, 1 i l t PDMS PDMS tF111 Actual Raceway Mo, tF111 Limit tF111 ' 4 ' 1CK600NA1 10.524 40 31.410

LCK600NAs 16.100 31 23.616 10K500NA7 16.180 31 22.616 i 1 K600ND2 22.49S 53 11.922

' 1TK200R . 2.106 40 1.002 1*K0013. 30.274 40 12.110 l LTK0025e 51.205 40 20.514 i A o A l l . t I f 4 'q i 4 f l 1 i f 4 8 a 1

' CALCULATION NUMBER REV APPENDIX D _G13.18.14.0 178 0 4 ENTERGY ENTERGY OPERATIONS INCORP. JBI NO. ! PAGE B31 OF 45 REF PA E as-n>t?se m'ar" 7'un wiser angineecing 4 to sisismesa *.e2

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i . i CALCULATION NUMBER REV ! APPENDIX B G13.18.14.0173 ENTERGY ENTERGY OPERATIONS INCORP. 0

                                                                                                                               .                          JB.t NO.

PAGE B37 OF 45 \ i REF PAGE t ,,,,,,,,. . hem e. **ve nas ea w miens ! ms d=e m,em. aansas edoms af the simer maks af amma la and LL s,s.n. is = en d mum = s .es man, yvasesentansa ps.m. and ris i g repuuseasse 'eles d T.=40 C een esas hash. is a dansetas to fureur e m.near m, w. i.W anum er i ese ammmad, ageness 41 sudesus es veamsmuseaderumme hoewuss es What en aeMs fr emmel i ,,j . rimmever of en sumarina k and the onmin a annaeus es,umet s eusmuse ieuw man m .

2. 8','8, tamuni eassess

• themal feuervery of tas euroundag east,tmak. es dem af the ederug (41A) earta A taarmel remmeper I

of tan esenvis e. i h ensuu be ased ens is en ass d emuuni ruummes terwem veinesa esmoussner headlad dame, s.a ennused m es emmes no of es pass is as sem murumadager a hund mamme taas ny eresasasuna reser be Inst j eies una sad as imment rummons er mais and annues une a peas kr en assums is ens of ammene a arense. assunnes t en ens ==a ammu he ended e omsme' 8= setad ens suvemmt ans means ir. A. maa,hed/d M, '

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                                  -                                                                                                        la asund amus aheiwes N en mm.                                                 ,

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_CA14ULATION NUMBER REV j e- ENTERGY . APPENDIX B ENTERGY OPERATIONS INCORP. G13. t s.14.0-178 JBI. NO. o j . PAGE B38 0F 45 1 REF PACE i i f I j l I ' l i 4 i !, lient I tralisier J - J. P. Holman j .- Anonate Profuner 1 Mechanical Engineering Department

Sou Asrs Xschodsat Uniestniy 4

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McGraw-Hill Book Company

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i { CALCULATION NUMBER l i g- ENTERGY APPENDDC B ENTERGY OPEXATIONS INCORP. G13.18.14.0 178 REV o JB,I NO. PAGE B39 OF 45 l PIF PA E m= i 174 Heat transfer

power (see, for example, Ref.1).

• E. - , r. (s-2) j .p j p ,P Equation 8-2 is called & Stefan-Boltzmann law. E. is the energy radiated

)'

                                             ?      .         per unit time and per unit area by the ideal radiator and , is the Stefan-Boltzmann constant which has the value                                                                              .

i '.' , = 0.1714 x 10-8 Btu /ht-ft' 'R* 4 d

when E. is in Btu per hour per square foot, and T is in degrws Rankine.

! . In the thermodynamic analysis the energy density is related to the l energy which is radiated from a surface per unit tune and per unit area. l Thus, the heated interior surface of an enclosum produces a certain l ,' energy density of thermal radiation in the encicoure. We are interested in radiant exchange with surfacen, hence the reason for the expressiorr

of radiation from a surface in terms of its temperatum. The subscript 6 -

t in Eq. (8-2) denotes that this is the radiation from a blackbody. We { call tt blackbody radiation because materials which obey this law ! appear black to the eye: they appear black because they do not reflect i any radiation. Thus, a blackbody is also considered as one which absorbs ! all radiation incident upon it. E. is called the emissier power of a l blackbody. I i i { 8-3 Radiatiost properties When radiant energy strikes a material surface, part of the radiation is reflected, part is absorbed. and part is transmitted as shown in Fig. 8 2. We define the reflectivity e as the

me no. 3. fraction reflected, the absorptivity a f as the frsesion absorbed, and the trans-amivity r as the fraction trans-

                                           !                                                                                      mitted. Thus f . q., $asesroes.-c.j                                                 8+**'"I               (I'0I    e Most *olid bodies do not trsnomit          i rme                                 thermal radiation, so that for many        I applied problems the trana===ivity Fig. 8 2 h&sicA shown'ap types may be taken as sero. Then of rodierson.

a+e=1 Two types of reflection phenomena may be observed when radiation strikes a surface. If the angle of incidence is equal to the angle of reflee-tion, the reflection is called speculer. On the other hami, when an incident m O

                                                                                                                                                            .         i CALCULATION NUMBER              REV j

4 g- ENTERGY. . APPENDIX B ENTERGY OPERATIONS INCORP. G13.18.14.0-178 21 NO. 0 PAGE B40 OF 45 REF PAGE 4 ? -- . 1 .i i l 1 i

7 _

Radiation heat transfer 189 the transmissivity is assumed to be zero, the re8ectivity may be expressed (6) l')

                                                                                  ,,;_,,g_,

so that / = eE. + (1 - )G (s.2M ig the The net energy leaving the surfaes is the diference between the radiosity and the irradiation (d) i Fig. f " / ~ G " 'f* + (I - ')G - G Solving for G in terms of J from Eq. (8 26), terms g = 1 - e (E. - J) The l o, E-/

                                                                                 , , (1 - e)/ e4 At this point we introduce a very useful interpretation for Eq. (8-27). If the denominator of the right side is considered
            *#"           ~                as the surface tr.vistance to radiation heat trans- e                        4 .'...
                                                                                                                        ~
                                                                                                                               .        (

fer. the numerator as a potential diference, and

                                                                                                                                        ~

idan .' 7-7

         'h*                             the heat flow as the " current." then a network                                     E element could be drawn as in Fig. 817 to repm- Fig. 817 Element
         "*"h'                            sent the' physical situation. This is the first step repr,,,ntin, ",urface rbed:                           irr the network method of analysis for radiation re,iatence" in radia-
         . m e.                           problems.

gion.n,gg,ork metAod.

          * * '                                  Now consider the exchange of radiant energy by two surfaces Ai and As. Of that total radiation which leaves surface
         )[

1. the amount that reaches surface 2 is J Airis i

         'T "

And of that total energy leaving surface 2, the amount that reaches oper-sudace' 1 is time ltAsru The not interchange betwen the two surfaces is and gi. - /idiri - 1 A /n But Airi - A,ru ecad unthat gi., = (Ji - J )Airi = (/: - /s) Air n s.:., ei..-C./' <>.28)

                                          %~e may thus construct a network element which represents Eq. (8 28)

I j .. 1

• 1 p

CALCUl.ATION NUMBER REV ! . APPENDIX B _G13. is.14.0 178 o l ENTERGY ENTERGY OPERATIONS INCORP. IBI NO. 1 PAGE B41 OF 45 j REF PA i . l 190 Heat transfer l ]

as shown in Fig. 8-18. The two network' elements shown in Figs. 817 and i

• I

! 8-18 represent the ennentials of the radiation-network method. To con.

!                                              struct a network for a particular radiation heat-transfer problem we                                                    {

need only connect a " surface resistance" (1 - -)/eA to each surface and i j j a " space resistance" 1/A.F between ths radiosity potentials. For example, two surfaces which exchange heat with each other and nothing j clae would be represented by the network shown in Fig. 819. In this case I i .,e.s

, j e g .... 4 &: ::::. A-i . ,,

6. ::::. %=

                                                                                                                                          -q Ag                                                i is          Itd:

j,. Fig. 8 18 Element representing Fig. 8-19 Radiat on netscork for j -

                                               " space resistance" in radiation-net- tsee surfaces tahich m 'each other 1                                               scork me had.                                           and nothing else.

i j the net heat transfer would be the overall potential diference divided j , by the sum of the resistances.

E., - Es, r(T,* - T o (g_ y

                       \'

4 1 1 1esAn

                                                                    - ei + Anfns + 1esAs     -g          1esAs
                                                                                                            - ei + Ms + 1 esA       - e, s

A'three-body pbblem is show in Fig. 8-20. In this case each of the I bodies exchanges heat with the other two. The heat exchange between j g body 1 and body 2 would be J, - J,

                                                                                       ' " li A iFis and that between body 1 and body 3
                                   .                                                                J, - Js
                                                                                        ' " 1/ A ifis To determine the heat news in a problem of this type, the values of the h                           r=Aw=ities must be calculated. This may be accomplished by performine; ,
                    ;-                         standard methods of analysis used in d-e circuit theory. The most con-                                     ,

venient mothed is an application of Kirchhof's current law to the circuit. which states that the sum of the curnata entering a node is sero. Example 8-3 illustrates the use of the method for the thme-body problem.

                                   .                A problem which may be easily solved with the ne' nork method is                                      i
                   ,                           that of two surfaces czehangmg heat with one a: *.1 r, but connected by I                            a third surface which does not exchange heat, Le., one which is perfectly j                             insulated. This third surface nevertheless in8uences the heat-transfer I     .
               .h
                        'I

• G

i CALCULATION NUMBER REV i g- ENTERGY. . APPENDIX B ENTERGY OPERATIONS INCORP. G13.18.14.0-178 JB1 NO. o PAGE B42 OF 45 I BEF PA G i . f l 4 1 i ! 202 Heat transfer i ! network is relatively easy to obtain because only two unknown potentials 4 JiandJe need be determined to establish the various heat 8ow quantities. } In this case the two transmitting layerr, will either absorb or lose a certatn j quantity of energy, depending on the tamperature at which they are ! maintained. l When no net energy is delivered to the transmitting layerz. 7. inn the i nodes E and E must be left "Sosting" in the analysts: a 4 lor thi.t l particular system four nodal equations would be required for a solution ci l the pmbkm. . I e . tu .4 4 6:n -<.iti-e.) /, fg

                             ,                          e-  .w:.                     =::,                   :::.    :
                                   .                        m

• L,- t j

                   .]             .                          <i +

t wa-,,,<. in . 44aD**mJ4e l i / 1 f 1 !' 't  % '. darin g -

l t

                            .l rn.       ::::.    - r, Amfancs   ae l
                   ,'                        Fig. 8-33 Total radiation netteerk for system o./ Tip. 8-29.

I, 811 The radiatiast heat transfer -88Wa=+ l- In the development of convection heat transfer in the previous chapters ei we found it convenient to define a heat-transfer coefficient by 5'

                            ;                                                   q, ,= h .A(T. - T.)

1 Since radiation best transfer problems are often very closely associated j

              ,       lp   j                 with convection problems and the total heat transfer by both convection and radiadon is often the objective of an analyms, it is worthwhile to put f
                      !!                     both processes on a common baas by defining a radiation heat transfer                        l coefficient A.as
                      'l   I g,.a = h.A s(Ts - T )

i where Ti and Ti are the temperatures of the two bodies exchanging heat e a.

1 I CALCUI ATION NUMBER REV l l

• g- ENTERGY' APPENDIX B E!GERGY OPERATIONS INCORP.

G13.18.14.0-178 3,I NO. 0 { PAGE B43 0F 45 IU!F PME i 1r l l l Radiation heat transfer 203 { . by radiation. The total heat transfer is then the sum of the convection unis and radiation. nes. ' j g - (A, + h,14:(T. - T.) (8 45) i tain j are if we assume that the second radiation-exchange surface is an enclosure j and is at the same temperature as the fluid. For example. the heat loss by the this free convecuon and radiation from a hot steam pipe passing through a ' room could be calculated from Eq. (8-45). n of In many instances the convection heat transfer coefEcient is not strongly dependent on temperature. However, this is not so with the i radiation best-transfer coeflicient. The value of h,, corresponding to Eq. (8 32), could be calculated from

t 1,.i Jl.Z. JC, .)o - * <r. - r.)

                                                                   <( Ti + T,')( Ti + T t

I

                                                             *

• 1/ei + (Av.4 3)(1/e, - 1) I Obviously, the radiation coefileient is a very strong function of temperature. 1 PROBLEMS 43-1. Find the radiation shape factors Fi.: for the situations shown in the accompanpng agures.

r/

                                                        -                  r,
                                                                                                 /

E r V t 6(Pd sPf I

                 ., e ,

p 9,

                .. 2t
                                                      <y% V#>                         Q' # v V
                               ~                                                                                                l

CALCULATION NUMBER REV

                                      '       APPENDIX B                                                                        -G13.ls.14.o.17s                           0 1

i ENTFRGY ENTERGY OPERATIONS INCORP. IB1 NO. PAGE B44 OF 45 l REF PME I 1 e Appertdiz 275 Table A.3 l Properties of nonmetalst s Substanee i

                                                                                                                    ' Temperature. 'T . t. Stuihr-ft.*F
       ~                                Structural and bespremstaat matennis:

l Asphalt.. . .. i . 66-132 }0 43 0.44 1 } Brick: Building bnek. common. l l 1 - Building bnek, face. . 64 i 0.40 i Carborundum bnek.. l

                                                                                                                                        . 0 "6
                                                                                                   .                   1110             .10 7 i                                                  Carborundum bnek.                                                    2530
      -                                                                                                                                     6.4 i                                                  Chrome bnek.                                                    .      392                 1.34 i      i                                          Chrome bnek.                                                          1022

[ , 1.43 Chrome bnek. ., 1652 1 - Diatomaeseus earth, molded and Ered. ' l.13

                                                                                                                  ' 400                     0.14 1,                                                                                                                      1000                 0.18

' Fireciay bnek (burst 2428*F.. 932 0 to 1472 0.42

      ~' ~~                                                                                                           2012                  0.83
     ~'~                                       Fireciay bnek (burnt 2642*F).                           . , .

932 0.74

       -:                                                                                                             1472             l 0.79 2012                 0.81

_ Tirockey bnek (Missoun).. .. 392

             ~                                                                                   .

0.54 j f. .

• 1812 0.88

_ 2552 1.02 Massente. 400 2.2 l 1200 1.6 2 .i - Cement, portland. . 1 2200 . 1.1 Cement. mortar. l0.17 .

r. 1 75 i 0.67 Concrete, etador. . .

              -                                                                                                          73                0 44
            '                             Concrete, stoes 13 4 aus..                                                     69 Class, window..                                                                                 0.79
          <                                                                                                              68               0. 48 (sv.)

Class, boromlisate.

         ; '.:                           Plaster, gypsum. . . .

86-147 0.63 70 0.25 Plaster, metal lath., . i :' 70 0.27 Plasser, wood lash.. i i- 70 0.18 Steest Granne i 4 1.0-2.3

     ~     .--'

210 870 0.73 4 T7

     "                                  Martde. . . . . . . -
                  '                     Saadseene
                                                                                                                     . .                 II25"I"70 104                1.08 Woad (sareas the greiel:                                                                                        i i                     Balaa. 8.8 lb/ru-ft..

Cy press. . le 0.032 i) Fir . , 84 0.084 8 i. Maple or oak. is 0.083

          .*i                                                                                                          34               0.0ue Yellew pane..
     *1                                                                                                                75               0 084 i
          = s .i .                      White pose.               .

84 0 088 E4

i CALCUl ATION NUMBER REV g--- ENTERGY .- APPENDIX B ENTERGY OPERATIONS INCORP. G13.18.14.0-178 JBI NO. 0 PAGE B45 OF 45 REF PA E

                                                                                                                        .1ppendis            :$5 Tahls MO h*ormal Wal ertuamytty of various surfacest Nrfaee 1". *F            Emissivar. .
                                             ,4.
                                                  %!eule aad thme eTide Alumisess:

He petuhed plate 98.3* pure ~ Commerenne anses.. 440-1070 : 0 03M 037 Heave esselmed 01 0 un ta surfseed reeeng. . OJ9.a*40 0 9431 Bram: 10u o J16 H shty poisshed: '

• 73.J*,Ca. 3 7". Za . .

4?AA?4 0 025-0 trtl 4J.4 *, Ca. 34 8 % Za. 0. 4 *, f%. 0.3", Al. hJ 9* Ca. I? 0*. Za. . 464-710 v 0.43-0 Gli AJu o 030 Hard.eedied. penabad, bei dessume et poimbag rumblefoI Dull adate. . ... 0 034 Chremma done asked euere for NWr stestsl: 130-400 i u J: Poished . . Copper- 100-3000 1 . I. l 0 004 36 Polshed. . Pol ished . 242 0 023 J12 0 05: Mate. heated long unne esvered enh thah usade layer Ce&d: 77 1 o 78 Pure, hasWy potabad.. ..

                                                                                                   .. 440-8100 0 OlM 034 1ree     sad most rose eartudans meanissel:

Steel. paianhed.. l tres, pasmaed . . 212 0 000 I Cast aros. seety turned. ' 300 lMO - U 14-0 36 Can eres. surned and heated TJ l 0 44

                                             \!Jd steel: A.                                                 le20-ini0 - u ww in Unidasd surfarse-                                                   430-1980            p 20 4 TJ tree piste, publed. then rumed red .                                            ,                                      j ca             o el free. darb.arer surface Rouse enese trae.                                                      282              o3 aben stees enh strees, rough evade later.

1700-2040 ! o af.o u,1 Lead: 73 u 80 Useeadiand. Wu Bee, pure . Crey esadised. . 230 440 0 057-0 074

                                                                                                                    ;8              0 34 Osadased as 3007..

• 11assamme 3e9 0 03 Alassenen esade.

11alybdesen: 330-1520 0 55-@ 20 1 Talamest . 11aares pesamhed. l 13444700 0 006 0 218

                                         %!sesi emetal:                                            I            212                0 071 O=h as 1810T l 300-1130,                 0.41-0 de f

v I h-

1 i l { f i l ATTACHMENT C l DRAFT Calculation E-218, Revision 1 "Ampacity Verification of Cables within Raceways Wrapped with Appendix R Fire Protection Barrier" l i l l [ i l i

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