ML20084Q544

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Ampacity Derating for Combination Thermo Lag 330-1 Matl & Darmatt Firewrap
ML20084Q544
Person / Time
Site: LaSalle  Constellation icon.png
Issue date: 03/04/1994
From:
SARGENT & LUNDY, INC.
To:
Shared Package
ML20084Q542 List:
References
4266-19G52, 4266-19G52-R, 4266-19G52-R00, NUDOCS 9506080645
Download: ML20084Q544 (49)


Text

SYSTErYl; fE X)( F. le. ErED 'UtbL / i't G 5.2 g/74p4 Calc. For Ampacity Derating for combination Calc. ND 4266/19G52 W M &LtAOY Thermo Lag 330-1 Material and Darmatt firewrap Rev. O Date 294y ENONEERS .

Non-Safety-Related Page 1 of 25 f X Safety-Related A . 1 Client Commonwealth Edison Preparedby] Date3"[~ k Project LaSalle Units 1 and 2 Reviewed M .

/LX Date"3/4[fh Pro). No. 9376-20 Equip. No. Approvedbyk),h. ~

j Date3- 99' L REVISION

SUMMARY

and REVIEW METHOD A. Revision Summarv

{ ,

Revision 0 - First Issue of Calculation, Pages 1-25.

Appendix A, Pages Al-A15.

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9506080645 950602 PDR P ADOCK 05000373 PDR

Calo. For Ampscity Derating for combination cdc. No h256/19G32 SARGBiT& LUNDY Thermo Lag 330-1 Material and Darmatt rir. wrap Rev. O Dat.3.y_9y ENONEERS .

A X Safety-Ralated Non-Safety-Related Page 2 of 25 Client Commonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date" Pro). No. 9376-20 Equip. No. Approved by Date REVISION

SUMMARY

and REVIEW METHOD (continued)

B. METHOD OF REVIEW OA CALCULATION REVIEW CHECKLIST l TYPE OF CALCULATION l

O Hand-Prepared Design Calculation Only 0 Computer-Aided Design Calculation Only d Both hand-Prepared and Computer Aided Design Calculation

. FOR HAND-PREPARED DESIGN CALC FOR COMPUTER-AIDED DESIGN CALC j

! feheck the accrocriate items) feheck the acoropriate items) p' Detai1ed review of the original p a design reviewand to determine if the engineering calculation. analysis computer program (s) used have been validated and documented U. ' D Review by an alternate, and that the calculation, regardless of slanplified or approximate method the program used,contains all the of calculation. necessary documentation for l reconstruction at a later date. '

O Review of a representative (MUST BE PERFORMED) sample of repetitive calculations. @ A review to verify that the computer program is suitable to the problem being D Review of the calculation analyzed. (MUST BE PERFORMED) against a similar calculation previously performed. p A review to determine if the input data as specified for program execution is l consistent with the design input, j correctly defines the problem for the i computer program algorithm and is sufficiently accurate to produce results within any numerical limitation of the program. (MUST BE PERFORMED)

I f A obtained review to verify that the results from the program ere correct and

( within stated assumptions and limitations of the program and are consistent with the input. (MUST BE PERFORMED)

O validation documentation for temporary

( changes to listed programs or

} developmental programs or unique single application programs shall be reviewed to assure that methods used adequately

,- validate the program for the intended application. (WHERE APPLICABLE)

REVIEWER: 2/LW ' DATE: A f4 /#4 I' I

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l Calo. Por Ampacity Derating for combinttion cdc. No 4266/19G32 j M& LLNOY Thermo Las 330-1 xaterial and narmate fir.wr p may, o Date3_y,9y ENGDEERS .

p X safety-Related Non-Safety-Related Page 3 of 25 Client Conunonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date Proj. No. 93~16-20 Equip. No. Approved by Date L TABLE OF CONTENTS Section Contents Pace No.

I. REVISION

SUMMARY

and REVIEW METHOD . . . . . . . . . . 1 II. TABLE OF CONTENTS . . . . . . . . . . . . . . . . . . 3 III. PURPOSE / SCOPE . . . . . . . . . . . . . . . . . . . . 4 IV. INPUT DATA . . . . . . . . . . . . . . . . . . . . . . 5 V. ASSUMPTIONS . . . . . . . . . . . . . . . . . . . . . 6 VI. ACCEPTANCE CRITERIA . . . . . . . . . . . . . . . . . 7 .

VII. METHODOLOGY . . . . . . . . . . . . . . . . . . . . . 8 (e',

VIII. CALCULATIONS and RESULTS . . . . . . . . . . . . . . 10 IX. COMPARISON of RESULTS with ACCEPTANCE CRITERIA . . . . 21 l

X. CONCLUSIONS . . . . . . . . . . . . . . . . . . . . . 22 XI. RECOMMENDATIONS . . . . . . . . . . . . . . . . . . . 23 XII. REFERENCES . . . . . . . . . . . . . . . . . . . . . . 24 XIII. COMPUTER FILE LISTING . . . . . . . . . . . . . . . . 25 XIII. ATTACHMENTS . . . . . . . . . . . . . . . . . . . Al-A15 1

e 4

I Calg. For Ampscity Derating for combination Cdo. No 4266/19G5.2 M&M Thermo Lag 330-1 Material and Darmatt firewrap Rev. O ENQpeERS Date3.p y

g. X safety-Related Non-Safety-Related Page 4 of 25 Client Commonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date Proj. No. 9376-20 Equip. No. Approved by Date l

l III. PURPOSE / SCOPE -

A. Puroose The purpose of this calculation is to determine the amount of ampacity derating required for the following two firewrap configurations:

Confiauration 1 1.23" of Darmatt firewrap material over 0.5" of Thermo Lag 330-1 material. Both materials cover the top, bottom, and sides of the tray.

Conficuration 2 1.23" of Darmatt firewrap material over 0.5" of g Thermo Lag 330-1 material. Both materials cover C the bottom and sides of the tray but only the Darmatt covers the top of the tray.

B. Scoo'e The scope of this calculation covers power cable trays with the above described firewrap configurations. The derating factor will be based on a 400C ambient, a 0.91 inch depth of fill, a 900C conductor temperature, and a tray size of 4 inches high by 30 inches wide. An ambient greater than 400C will require an additional derating factor.

i Cal 3. Por Ampscity Derating for combinstion Calo. No 4266/19G32 M8 LM Thermo Lag 330-1 Material and Darmatt firewrap Rev. O DateJ.y.9p ['

ENGDEERS _

pn X safety-Related Non-safety-Related Page 5 of 25 Client Connuonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date Proj. No. 9376-20 squip. No. Approved by Date IV2 , INPUT DATA .

1. The ambient temperature is 400C. (See III. B, Scope)
2. The cable trays are 30 inches wide. (See III. B, Scope)
3. The cable trays are 4 inches high. (See III. B, Scope)
4. The depth of fill is 0.91 inches. (See III. B, Scope)
5. The allowable heat intensity for a 0.91 inch depth of fill is 7.7 watts /ft-square inch. (Ref 1)
6. A tightly covered cable tray requires a 15 % ampacity derating. (Ref 2)
7. The emissivity of a galvanized steel surface is

.23. (Ref 5)

8. The emissivity of the Darmatt surface is 0.6 (Ref 6).
9. The Eated conductor temperature is 900C.

(See III. B, Scope)

10. The thermal conductivity of the Darmatt material is 0.0653 BTU /hr-ft-F 0600C. (Ref 6)
11. The Darmatt firewrap material is 1.23 inch thick.

(per Ref 6, the Darmatt is 27mm,-0%,+15%, thick:

1.23" = 1.15

  • 2.7cm / (2.54cm per inch))
12. The thermal conductivity of the Thermo Lag 330-1 material is .1 Btu /hr-ft-degree R (Ref 6)
13. The Stephan-Boltzman constant is equal to

.1713*10'-8 Btu /hr-ft. 2-degree Rankine"4. (Ref 5)

14. The Thermo Lag 330-1 material is 0.5" thick (Ref 6).

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l Cals. For Ampscity Derating for combination cale. No 4266/19G52 M&M Thermo Lag 330-1 Material and Darmatt firewrap mav. O Date 34.y ENW5MS .

(A X safety-malated Non-safety-malated Page 6 of 25 client Conunonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 moviewed by Date Proj. No. 9376-20 Equip. No. Approved by Date y_a. ASSUMPTIONS The effective surface area available for convection and radiation-will not be increased after the fire wrap is added. This -

assumption accounts for the non-uniform heat flow at the corners.

t This assumption is conservative since the allowable heat flow will be reduced with the lower surface area, and therefore this )

assumption does not need to be verified.

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Calo. For Ampacity Derating for combination C1c. N3 4266/19G52 '

M& LM Thermo Lag 330-1 Material and Darmatt firewrap Rev. O Date34 9y

g. . X safety-Related Non-safety-Related Page 7 of 25 Client Commonwealth Edison Prepared by Data Project LaSalle Units 1 and 2 Reviewed by Date' Proj. No. 9376-20 Equip. No. Approved by Date YL. ACCEPTANCE CRITERIA N/A i

s 1

.e

Calo. For Ampacity Derating for combinstion ca.,1c. No 4266/19G52 N& LN Thermo Lag 330-1 Material and Darmatt firewrap Rev. O Date g y ,

EN@EERS . I

(- [ . X Safety-Related Non-Safety-Related Page 8 of 25 client Commonwealth Edison Prepared by Date Project I.aSalle Units 1 and 2 Reviewed by Date i Pro). No. 9376-20 Equip. No. Approved by Date l

VII. METHODOLOGY The allowable heat generation for a tightly covered cable tray is first calculated from the allowable heat intensity versus depth -

of fill curve for an uncovered cable tray and the required 15 %

ampacity derating for a tightly covered cable tray.

This allowable heat generation for a tightly covered cable tray i is then used to calculate the surface temperature of the cable tra1 The difference between the rated conductor temperature and this surface temperature is then divided by the allowable heat generation for a tightly covered cable tray in order to obtain an equivalent thermal resistance from the conductor metal to the surface of the cable tray. The surface temperature of the tightly covered cable tray, TGS, is found by manually adjusting this value in the MATHCAD program below until QTGS, the calculated value of the total heat transferred from closed cable-

..... tray surface, nearly matches QCB, the allowable heat generation C~' in a tightly covered cable tray.

Next, a composite thermal resistance of the Darmatt fire wrap and the Thermo Lag 330-1 material itself is calculated and added to the equivalent resistance from the conductor metal to the surface of the cable tray which was calculated previously.

The same formulas for the convection and radiation from the tray surface to the ambient, as modified for the higher emissivity of the Darmatt material as compared to galvanized steel, are then used to calculate the convection and radiation from the wrapped cable tray to the ambient.

The surface temperature of the wrapped cable tray, TWT, is manually adjusted using the MATHCAD program until the calculated maximum temperature of the conductor, TCCR, is nearly equal to the rated conductor temperature, TCR. The variable TCCR is calculated from the formula TCCR= TWT +QTWT*RTOT, where QTWT is the total heat transfer from the wrapped cable tray, and RTOT is the total thermal resistance fru the conductor metal to the surface of the fire wrap.

Since the heat generated in the cable tray is proportional to the square of the current, the ratio of the ampacity with the cable wrap to the ampacity for the tightly covered tray is equal to the t

~

square root of the ratio of the al3LNable heats for each cable installation method.

Cals. For Ampacity D3 rating for combination Colo. No 4266/19G52 ,

M&M Thermo Lag 330-1 Material and Darmatt firewrap Rev. O Date3.y.yy EN(DEER 8 .

l

(" X Safety-Related Non-Bafety-Related Page 9 of 25 client Commonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date Pro 3. No. 9376-20 Equip. No. Approved by Date

  • METHODOLOGY (continued) ,

The above method is repeated but with a composite wrap resistance reflecting only the Darmatt material on the tray top. ,

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Cals. For Amp,2 city Derating for combinction cme. N3 4266/19G52 M&M Thermo Lag 330-1 Material and Darmatt firewrap Rev. O Date3 y. g

~ X Safety-Related Non-safety-Related Page 10 of 25 Client Commonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date' Proj. No. 9376-20 Equip. No. Approved by Date

& CALCULATIONS and RESULTS A. Heat generated by the cables Equivalent cable area The cross sectional area of the cable tray is equal to the depth of fill times the tray width. The cross sectional area of the cable tray must be multipied by s/4 in order to obtain the equivalent cable area.

dof := 0.91 The depth of fill is 0.91 inches.

w =30 The width of the tray is 30 inches.

I ,1 Acq :: . dof w Equivalent cable area (Al

[~ Acq = 21.441 The equivalent cable area in square inches for a 1' O.91 inch depth o' *ill and a 30 inch wide cable tray.

Heat generation allowable for an uncovered cable tray The allowable heat generation for an uncovered cable tray is found by multiplying the equivalent cable area by the allowable heat intensity as taken from calculation 4266-EAD-13. (Ref 1)

III ': 7.7 The allowable heat intensity in watts / ft-square inch for a 0.91 inch depth of fill.

QUCW ~= Acq HI The allowable heat in watts /ft for an uncovered cable tray QUCW - 165.099 The allowable heat in watts /ft for an uncovered cable tray with a 0.91 inch depth of fill.

QUCB :=

.2929 The allowable heat in Btu /hr-ft for an uncovered cable ,

tray '

QUCB = 563.669 The allowable heat in Btu /hr-ft for an uncovered cable tray with a 0.91 inch depth of fill.

Calo. For Ampacity Derating for combinstion C.?,10. No 4266/19G52 N& Ll#0Y Thermo Lag 330-1 nat rial and oarmatt firewrap mev. O pat.3_y,9y i ENGsEERS

/' X Safety-Related Non-Safety-Ralated Page 11 of 25 Client Commonwealth Edison Prepared by Data Project LaSalle Units 1 and 2 Reviewed by Date Proj. No. 9376-20 Equip No. Approved by Date CALCULATIONS and RESULTS (continued)

From " Tests at the Braidwood Station on the Effects of Fire Stops .

on the Ampacity Rating of Power Cables"(Ref 2), there is a 15%  !

derating in the conductor ampacity for a tightly covered tray. The

  • allowable heat from the cable tray will be decreased by the square of the ampacity derating.

QCB :(1 .15)2-QUCB The allowable heat in Btu /hr-ft for a tightly covered cable tray QCB = 407.251 The allowable heat in Btu /hr-ft for a tightly covered cable tray with a 0.91 inch depth of fill B. Temperature of the outside of a cable tray with tight covers Radiation Formula Radiation heat transfer is given by the following formula (Ref 3):

QR=otA ( Tl

  • 4-T2
  • 4 )

Where QR is the heat dissipated by radiation o=.1713*lO*-8 is the Stephan-Boltzman constant (Ref 5) e is the surface emissivity A is the surface area Tl is the surface temperature T2 is the ambient temperature Area of radiating surface per linear foot of tray f

AT ::: 2 (4 + 30) Area in square ft/ft (12 AT = 5.667 Total radiating area for a 2.5 ft wide, 4 inch high tray 4

c := .1713 10 Stephan-Boltzman constant in Btu /hr-ft2-R4 cOS : .23 Emissivity of a galvanized steel surface TAC := 40 The ambient temperature in degrees centigrade TAR := (TAC + 273) 9 The ambient temperature in degrees Rankine 5

TAR = 563.4 degrees Rankine

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Calo. For Ampacity Derating for combinstion calo. No 4266/19G52 M&M Thermo Lag 330-1 Material and Darmatt firewrap Rev. O Date39 9 EN(NGiERS g- X Safety-Related Non-Safety-Related Page 12 of 25 l

l client Commonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date Pro). No. 9376-20 Equip. No. Approved by Date CALCUIATIONS and RESULTS (continued) .

TGS := 643.915 Iterated value of the temperature of the galvanized steel i surface of the cable tray in degrees Rankine d

QRGS := o CGS AT-(TGS'- TARRadiation ) heat transfer from the galvan-ized steel surface of the cable tray in Stu/hr-ft QRGS = 158.872 Convection Formula convective heat transfer is given by the following formula (Ref 3):

QC=hA(T1-T2)

Where QC is the heat dissipated by convection h is the convection heat transfer coefficient A-is the particular area under consideration T1 is the surface temperature T2 is the ambient temperature From table 7-4 of Heat Transfer by Holman (Ref 3) the convective heat transfer coefficient for vertical planes or cylinders is h= . 2 9 ( 6T/L) * . 2 5. This equation will apply to the tray sides with L equal to 4/12 feet.

.25 TGS - TAR convective heat transfer coefficient for the hsGS := .29 4 sides of the unwrapped cable tray in l - 1 Btu /hr-ft2-degree F t12j hsGS = 1.143 Btu /hr-ft2-degree F

9 i Cals. For Ampicity Dsrating for combination cale. No 4266/19G32 MAM Thermo Lag 330-1 Material and Darmatt firewrap Rev. O Date 3.</.8)y ENGMEERS f) X safety-malated Non-Safety-malated Page 13 of 25 client Conunonwealth Edison Prepared by Date Projoet LaSalle Units 1 and 2 Reviewed by Date' Pro 3. No. 9376-20 Equip. No. Approved by Date CALCULATIONS and RESULTS (continued) .

f4i AS := 2t -

Area of cable tray sides in square ft/ft I (123 AS =0.667 QCSGS :=hsGS AS-(TOS- TAR) convective heat transfer from the sides of ,

the cable tray in Btu /hr-ft i

QCSGS = 61.367 Btu /hr-ft  ;

From table 7-4 the convective heat transfer coefficient for a heated  !

plate facing upward is h=.27(6T/L)*.25. This equation will apply to  !

the top of the cable tray with L equal to 2.5 feet. l f TGS - TARP 2s convective heat transfer coefficient for the htGS ._ 27 2.5 top of the cable tray in Stu/hr-ft2-degree F

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htGS =0.643 ATS := 30 Area of top of cable tray in square ft/ft 12 ATS = 2.5 QCTGS := htGS ATS (TOS - TAR) convective heat transfer from the top of the cable tray in Btu /hr-ft QCTOS = 129.469 From table 7-4 the convective heat transfer coefficient for a heated plat facing downward is h=.12(8/L)*.25. This equation will apply to the bottom of the cable tray with L equal to 2.5 feet.

f I 28 hbGS := .12 , TOS - TAR convective heat transfer coefficient for 2.5 the bottom of the caue tray in

' /

Btu /hr-ft2-degree F j hbGS = 0.286  !

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cals. For Ampacity Dsrating for combination calc. No 4266/19G52 M &l.lj0Y Thermo Lag 330-1 Material and Darmatt firewrap mev. O Date 3.y.,9p ENGMEERS e X safety-malated Non-Safety-melated Page 14 of 25 Client Commonwealth Edison Prepared by Date )

Project LaSalle Units 1 and 2 moviewed by Date' Proj. No. 9376-20 Equip. No. Approved by Date  !

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CALCULATIONS and RESULTS (continued) )

l AB := 30 Area of the bottom of the cable tray in square ft/ft .

12 AB = 2.5 QCBGS := hbOS AB-(TGS - TAR) Convective heat transfer from the bottom of the cable tray in Btu /hr-ft QCBGS = 57.542 QTOS := QRGS + QCSGS + QCTGS + QCBGS Total heat transfer from the unwrapped cable tray in Btu /hr-ft QTGS = 407.25 Since the value of QTGS matches the value for QCB, the iterated value of.643.915 degrees Rankine for the surface temperature of the cable tray'is correct.

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C. Thermal resistance of the cable mass and cable tray assembly up to the '

t surface of the cable tray.

l This resistance is equal to the temperature drop from the conductor )

to the cable tray surface divided by the allowable heat.

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i TCC := 90 Rated conductor temperature in degrees centigrade i

TCR :=(TCC + 273) 9Rated conductor temperature in degrees Rankine 5

TCR = 653.4 RCM '._ TCR- TGS Thermal resistance of the cable mass in degrees QCB Rankine-hr-ft/ Btu RCM = 0.023

___ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ______________________-..._____-._______________________________.---a

r-cals. For Anpacity Darating for combnation cale. He 4266/19G32 M&M Thermo Lag 330-1 Material and Dermatt firewrap mov. O Date 3.y. y N-r' X safety-malated Non-safety-malated Page 15 of 25 Client Conunonwealth Edison Prepared by Data Project LaSalle Units 1 and 2 moviewed by Date Proj. No. 9376-20 Equip. No. Approved by Date cAfftJIJLTIONS and DRAULTS (continued) l D. Thermal resistance of the Thermo Lag 330-1 material and the Darmatt  :

firewrap with the Darmatt material covering the bottom, top, and j sides of the tray  !

The following formula will be used to calculate the thermal resistance of the composite of the Darmatt fire wrap and the Thermo i Lag material ,

R=(1/k)/((el/bl+.54)+(e2/b2+.54)+(al/b3+.54)+(e2/b4+.54)) (Ref 4) l where k is the thermal conductivity of the Thermo Lag and el, e2,  !

bl, b2, b3, and b4 are constants defining the tray / wrap l configuration (see attachment C) '

l To componsate for the lower conductivity of the the Darmatt material as compared to the Thermo Lag material, the .

thickness of the Darmatt material is inecreased by a factor f, equal to ratio of the two conductivities  ;

k3301 := 0.1 conductivity of Thermo Lag 330-1 (see IV.12) kDar 20.0653 conductivity of Darmatt (see IV.10) t := k3301 t=1.531  :

kDar el := 4 c2 := 30 bl := 0.5 + 1.23 t b2 := 0.5 + 1.23 t b3 := 0.5 + 1.23 t b4 := 0.5 + 1.23 t bl = 2.384 b2 = 2.384 b3 = 2.384 b4 = 2.384  !

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1  !

301  !

R -

C "'P '= fel i fe2 i f I f 1 -

I - + .54 +1 - + .54 l+ el + .54 l + . e2 +.54 :

tbl 3 (b2 3 (b3 3 ib4 j j R , = 0.326 Resistance of the fire wrap in degree Rankine-ft-hr/ Btu  !

E. Total resistance of the cable mass and cable wrap RTOT := RCM + R y RTOT = 0.349

cals. For Ampacity D3 rating for combination C lc No 4266/19G32 j SM& LLAOY Thermo tag 330-1 xaterial and oarmatt rir. wrap may. O pate3.y.g ENGNEERS .

X Safety-malated Non-Safety-malated Page 16 of 25 Client Commonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date Proj. No. 9376-20 Equip. No. Approved by Data f

CALCULATIONS and RESULTS (continued) *

{

F. Total Heat Transfered from the Wrapped Cable Tray cA := .6 Emissivity of the Darmatt firewrap TWT := 590.043 Iterated value of the surface temperature of the wrapped.

cable tray The increase in surface area available for convection and radiation caused by wrapping the tray will be ignored on the basis that the heat flow through the firewrap is non-uniform.

QRWT := o rA AT-(TWT'- TAR *) Radiation heat transfer from the surface of the wrapped tray in Btu /hr-ft QRWT = 119.127

.25 gg . .29. TWT- TAR

-f4 1 i12; hsWT =0.867 QCSWT :=hsWT AS-(TWT- TAR) Convective heat transfer from the sides of the wrapped cable tray in Btu /hr-ft QCSWT = 15.402 htWT := .27- - TARf

( 2.5 3 htWT = 0.488 l

QCTWT := htWT ATS (TWT- TAR) Convective heat transfer from the top of I the wrapped cable tray in Btu /hr-ft QCTWT = 32.494 l hbWT :=.12 - T@ hbWT = 0.217 i 2.5 3 l

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cala. For Anpacity Derating for combination calc. No 4266/19G32 M&M Thermo 1.ag 330-1 Material and Darmatt firewrap mav. O Dat* 5-V-Sp ENGBGERS .  !

X Safety-Related Non-Safety-Related Page 17 of 25 fJ Client Conunonwealth Edison Prepared by Date j Project LaSalle Units 1 and 2 Reviewed by Date*

l Proj. No. 9376-20 squip. No. Approved by Date j i

CALCULATIONS and RESULTS (continued) '

f

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i QCBWT := hbWT AB-(TWT- TAR) Convective heat transfer from the bottom of l the wrapped cable tray in stu/hr-ft -

QCBWT = 14.442 -

QTWT := QRWr + QCSWT + QCTWT + QCBWT Total heat transfer from the  ;

wrapped cable tray in Btu /hr-ft ,

QTWT = 181.464 TCCR := TWT + QTWT RTOT Calculated maximum temperature of the conductor  ;

TCCR = 653.401 i

Since TCCR is nearly equal to the rated conductor temperature TCR, it can be concluded that the allowable heat with a firewrap is about 181 Btu /hr-ft.

G. Ampacity Derating Factor The ampacity derating factor is equal to the square root of the ratio of the allowable heats.

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DFDe - QTWT Ampacity derating factor for 0.5 inches of Thermo-Lag 330-1 niatorial and a one hour firewrap using 1.23 4QUCB inchias of Darmatt material .

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DFDar = 0.567 I

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,+ -- m- - . - _ . , _ . . ~ , ._.

Cal 3. For Ampacity Derating for combination Cc.lo. No 4266/19G52 M& LUPOY Thermo Lag 330-1 natorial and oarmatt rirewrap Rev. O Date)./.9y

('A X safety-Related Non-Safety-Related Page 18 of 25 Client Commonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 moviewed by Date' Pro $. No. 9376-20 Equip. No. Approved by Date CALCUIATIONS and RESULTS (continued)

H. Thermal resistance of the Thermo Lag 330-1 material and the Darmatt firewrap with the Thermo Lag material and Darmatt material covering ,

the bottom, and sides of the tray but only the Darmatt material covering the top of the tray The following formula will be used to calculate the thermal resistance of the composite of the Darmatt fire wrap and the Thermo Lag material:

R=(1/k)/((el/bl+.54)+(e2/b2+.54)+(el/b3+.54)+(e2/b4+.54)) (Ref 4) where k is the thermal conductivity of the Thermo Lag and el, e2, bl, b2, b3, and b4 are constants defining the tray / wrap configuration (see attachment C)

To componsate for'the lower conductivity of the the Darmatt material as compared to the Thermo Lag material, the thickness of the Darmatt material is inecrease by a factor s,_ equal to ratio of the two conductivitiest k3301 := 0.1 conductivity of Thermo Lag 330-1 (Ref 6) kDar := 0.0653 conductivity of Darmatt (Ref 6) 01 t .= t=1.531 kDar e1 := 4 c2 := 30 bl := 0.5 + 1.23 t b2 := 0.5 + 1.23 t b3 := 0.5 + 1.23 t b4 := 1.23 t b1 = 2.384 b2 = 2.384 b3 =2.384 b4 = 1.884 1

301 R conip '= '

fel i f2 i i

- +.54 l+i - +.54 l+i fel 'e2 e

l - +.54 1+. - +.54 .

Ibl j tb2 3 (b3 j i b4 j R eornp = 0.294 Resistance of the fire wrap in degree Rankine-ft-hr/ Btu I. Total resistance of the cable mass and cable wrap RTOT := RCM + R RTOT = 0.317

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Calo. For Ampacity Derating for combination cale. No 4266/19G52 J M& LINOY Thermo Lag 330-1 Material and Darmatt firewrap may. O Date 3.y. g IINWEERB .

p X safety-malated Non-Safety-melated Page 19 of 25 f

client Conunonwealth Edison Prepared by Date l Project LaSalle Units 1 and 2 moviewed by Date' pro $. No. 9376-20 squip. No. Approved by Date CALCUIATIONS ~ and RESULTS (continued) .

J. Total Heat Transfered from the Wrapped Cable Tray ,

cA := .6 Emissivity of the Darmatt firewrap  !

. l TWT := 591.868 Iterated value of the surface temperature of the wrapped.

cable tray i

The increase in surface area available for convection and radiation  ;

caused by wrapping the tray will be ignored on the basis that the  !

heat flow through the firewrap is non-uniform. '

i d

QRWT := c cA AT-(TWT - TAR') Radiation heat transfer from the surface  !

of the wrapped tray in Btu /hr-ft j di vi QRWT = 127.901 hs%T := .29-[ - arf 5

r )

i hsWT =0.797 QCSWT := hsWT AS-(TWT- TAR) convective heat transfer from the sides of the wrapped cable tray in Btu /hr-ft l i

QCSWT = 15.119 i htWT := .27- -TARf r 2.5 )

htWT = 0.4%

QCTWT := htWT ATS-(T%7- TAR) convective heat transfer from the top of the wrapped cable tray in Btu /hr-ft QCTWT = 35.299

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

+

Cals. For Aspscity Derating for combination Cde. No 4266/19G52 ,

s N&M Thermo Lag 330-1 Material and Darmatt firewrap- Rev. O Date).y.9y EN(NEIERS .

I

/* X Safety-Belated l Mon-Safety-Related Page 20 of 25 Client Cornmonwealth Edison Prepared by Date Project LaSalle Unite,1 and 2 Reviewed by Date*

Pre 3. No. 9376-20 Equip. No. Approved by Data cAffULATIONS and RESULTS (continued) .

i hbWi =.12- - TARf hbWT = 0.22 .

t 2.5 j l

QCBWT := hbWT AB (TWT- TAR) Convective heat transfer from the bottom of

, the wrapped cable tray in Btu /hr-ft ,

QCBWT = 15.689 r

QTWT := QRWT+ QCSWT + QCTWT + QCBWT Total heat transfer from the wrapped cable tray in Btu /hr-ft l i

QTWT = 194.008

OC' l
c. -

TCCR := TWT + QTWT.RTOT Calculated maximum temperature of the l s

conductor  !

l TCCR = 653.399 Since TCCR is nearly equal to the rated conductor temperature TCR, it can be concluded that the allowable heat with a firewrap is about 194 Btu /hr-ft.

i ,

l i

K. Ampacity Derating Factor j

. The ampacity dorating factor is equal to the square root of the ratio j of the allowable heats.

1 DFDu - QTWT Ampacity derating factor for 0.5 inches of Thermo-Lag 330-1 material and a one hour firewrap using 1.23

]QUCB inches of Darmatt material (only the Darmatt material I covers the top of the tray).

J, DFDar = 0.587 m

T

Cels. For Ampacity Derating for combination C d c. N3 4266/19G52 N aLL20Y Thermo Lag 330-1 Material and Darmatt firewrap Rev. O DateJ.y g ENGMEERS -

/"' X Safety-Related Non-Safety-Related Page 21 of 25 client Commonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date Proj. No. 9376-20 Equip. No. Approved by Date L. COMPARISON of RESULTS with ACCEPTANCE CRITERIA i

N/A l

l i

l

(?

s.

l l

e %

.O

Cale. For Ampacity Derating for combination Cnic. No 4266/19GS2 SARGENT& Ll#0Y thermo Lag 330-1 Material and Darmatt rirewrap Rev. O Date3.y.99

/ X Safety-Related Non-safety-Related Page 22 of 25 Client Commonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date' Proj. No. 9376-20 Equip. No. Approved by Date XL. CONCLUSIONS .

The ampacity of a cable installed in a tray with either firewrap configuration 1 or 2, as defined in the purpose, is obtained by .

multiplying the uncovered cable tray ampacity by 0.567 or 0.587, respectively.

\

l l 9 1

1 4

1, I

cals. For Ampacity Derating for combinttion c'10. No 4266/19G52 N &Lt#OY rnermo Lag 330-1 Material and oarmatt rirewrap R.v. o Date 3.y.9p I

ENGNEERS .

,co X Safety-Related Non-Safety-Related Page 23 of 25 client Commonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date" Pro $. No. 9376-20 Equip. No. Approved by Date XII. RECOMMENDATIONS .

N/A F

- _ - _ _ _ _ _ _ _ _ _ - _ _ _ _ _ _ _ _ _ _ _ _ _ _ - - - _ _ _ _ - _ - _ _ _ _ _ _ _ _ _ _ _ _ _ _ - _ - _ - _ _ - _ _ _ _ _ _ _ _ _ - - _ - - - - - - _ _ _ - _ _ _ _ _ _ - - - - - - - - _ - - - _ - _ _ - - - - - _ ~ _ _ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Calg. Por Ampacity Derating for combination Ccle. NJ 4266/19G52 SARGENT& LIAOY Thermo Lag 330-1 Material and Darmate rirewrap m.v. O Date3-p9p

(? X safety-Related Non-safety-Related Page 24 of 25 Client Commonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date Proj. No. 9376-20 Equip. No. Approved by Date f

l XIII. REFERENCES .

1. LaSalle calculation 4266-EAD-13, Rev 0, 2-8-82, entitled

" Cable Tray Heat Intensity" - This reference provides the -

l allowable heat intensity of 7.7 watts /ft-square inch which applies to a 0.91 inch depth of fill.

2. " Tests at Braidwood Station for the Effects of Fire Stops on the Ampacity Rating of Power Cables" - Haddad, Bloethe, Stolt, Lamkin, and Sykora - Proceedings of the 44th American Power Conference (1982) - This reference indicates that the ampacity derating factor for a cable tray with tight covers is .85.
3. Holman, J. P. Heat Transfer, New York: McGraw Hill Book Co, 1968 - This reference provides convection and radiation heat transfer formulas.
4. Kaminsky, D. A. (editor), Heat Transfer Data Book, Schenectady, New York, General Electric Co, 1977 - This reference provided the formula for the thermal resistance of the. fire wrap.

1

5. Baumeister, J. (editor), Mark's Standard Handbook for l Mechanical Engineers, New York, McGraw Hill Book Co, 1967

- This reference provided the emissivity values for galvanized steel and aluminum foil, and a value for the Stephan-Boltzman constant.

6. S&L DIT LS-EPED-0269, dated 2-16-94 (attached).

l 1

l l

Calc. For Ampacity Derating for combination Cr.lc. No 4266/19G52 l l

M&M Thermo Lag 330-1 Material and Darmatt firewrap Rev. O Date 3-yg l ENGDEERS .

X Safety-Related Non-Safety-Related Page 25 of 25 Client Corrunonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date Pro $. No. 9376-20 Equip. No. Approved by Date XIII. COMPUTER FILE LISTING ,

dernett ecd 32263 03-04-94 2:30p Mathcad newcetc up 89099 03 04-94 4:27p Wordperfect readne (**) 03 04-94 (**) DOS Edit text file 4

P m

l

I Cala. For Ampacity Derating for combination cdc. No 4266/19G52 M&M Thermo Lag 330-1 Material and Darmatt firewrap Rev. O Date F X safety-Related Non-safety-Related Page Al of client Conunonwealth Edison Prepared by Date Project LaSalle Units 1 and 2 Reviewed by Date' Proj. No. 9376-20 Equip. No. Approved by Date XIV. ATTACHML'NTS A. " Tests at Braidwood Station on the Effects of Fire Stops on the Ampacity Rating of Power Cables" (Ref 2)

B. Table 7-4 of Heat Transfer by Holman (Ref 3)

C. Page 5 of Section 502.4 of the " Heat Transfer Data Book" (Ref 4)

D. Page 4-108 and 4-111 of Mark's Standard Handbook for Mechanical Engineers (Ref 5)

E. S&L DIT LS-EPED-0269 (Ref 6) p M ,

Y e

'M

TESTS AT BRAIDWOOD STATION ON THE EFFECTS OF

, FIRE STOPS ON THE AMPACITY RATING-OF POWER CABLES Calc. No. 4266/19G52 Rev. O Page A2 of Project No. 9376-20 S.Z.HADDAD. to be installed through a three-foot concrete wall. There and are eight opensags in the wall for cable tray penetrahana that are arranged in four horizontal layers with two W. G. BLOETHE openags per layer. Ten cable trays wem used in the Sergent & Lundy test; four of these were inammilad in the top two opensags Chicago (two per openas) and the remauung six were installed in the hae*a= three layers. These cable trays were D.C.LAMKEN loaded with the power cables to be tested. Two addi- -

tional trays were matallad and left empty since in the H. K. STOLT actual ==*=Il=eian these trays will be loaded with con-and trol cables. Each cable tray was 18-inches wide,4-inches deep and 204eet long. The trays were installed through G.SYKORA the penetranons and extended 8%-feet on each side of Commonwealth Edison Company the three-foot thick wall.

Chicago The cables used in the test were both three conductor and triplexed cables selected to have a range of con-dutw size and voltage ratings to allow investigatmg the INTRODUCTION impact of these two parameters on the thermal behavior A fire stop is a physical barrier constructed at a of the cable in the fire stop and, therefore, on the cable conduit or cable tray penetration through a wall or derating. Each cable was run in a cable tray through the floor for the purpose of preventing the spread of a fire wall penetration and looped back in the m -'

along the cable tray or conduit system from one area to cable tray located in the other wall penetration at the another. The fire-stop matenal must completely sur*

kg/ round and enclose the cable and tray in order to form aume level. This imping proces wm pd a nh of times until a depth of All of approximately two l fire-resistant barrier. The fire-stop material surroundjng inches was achieved. In the cable crossover areas, the the cables is required to have reasonably good insulating qualities and may therefore,be expected to have a rela-

,, ,g , g dissipation from the cables at these lac =*iana and tively high thermal resistance. Consequently, the maxi-mum temperature of the conductor inside the fire stop t% ss&W&mhmmmd the cables within the trays.

is expected to be higher than the maximum temperature of the conductor outside the fire stop. The current-car- Egure 1 is an elevatim view of the test instaHation rying capacity of cables passing through fire stops may, showmg the location of the cable trays and the size, .

therefore, have to be reduced to prevent the maximum m and umber of cables used in each tray.

conductor temperature within the fire stop from ex. The temperatures of the cable conductors and jackets ceeding the rated insulation temperature. and the cable trays, wall surface ~ and room ambient To investigate the impact of fire stops on the ampa- wm maimmd using No. 20 copper-custantan ther-city rating of cables, Sargent & Lundy and Common, mocouples that were recorded periodically during the wealth Edison Company conducted a senes of fire-stop test by a data logger. The thermocou-' = measurmg the cable ampacity tests over a time period extendmg from conductor temperature were placed in contact with the December 1979 through September 1980. The results of conductors by puncturing the insulation at an angle of these tests were used to design and verify a computer 30 degrees and inserting the therrnotouple head so that program developed to evaluate cable ampacity deratings it made contact with the conductor. The thermocouple for vanous fire-stop designs. This paper describes the leads were taped to secure the thermocouple in place. A test setup and procedures followed for the different total of over 400 thermocouples was used, types of tests conducted and presents the test results Thermocouples were located at cross sections along end the conclusions that can be drawn from these re. the cable of each layer similar to those shown in Figure y suits. 2. Cross sections of thermocouples were located both inside and outside the wall. At each cross section ther.

TEST SETUP mocouples sensed both conductor and cable tray tem-The tests were conducted at the Braidwood Nuclear peratures. FiFure 3 shows the locations of thermocou-4 Station at a location where cable tray penetrations are pies used in a typical cable tray. Additional i

735

Calc. No. 4266/19G52 j R3v. 0 136 Vohrme H, t'roceedings rf the American f>wer Conference.1962 Page A3 o( l Praj:ct No. 9376-20 p CraLiaiG , e l

' ' * * ~

Taar CacLE Ss2t eso CF CasLES .  ;

a 3/C 84-e00v to .  ! 3 $

a YniPLis - uo.eav e  ;

e 3/C *f 6sv 12 . . .

l= jw C 3/C uo szw e 6 t* jm !w mI lw a sic . v0-s00 v es - - t -

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( 3/C 500 KCM-600v 5

m. , sans amusemee'"i-n ~ ..._

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=

e c

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r g  ; j= j

  • [".J j l= [=

esw a*.

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=

l= , -=i=J g= m

,t_ i, i 1--r.J L.-.

F- [ .- a y Figure 2-Top view showtas themessepne seneret n===*e===

TI s, ',,-

rr ! 3-siQ - . -l 3a. penod of one hour was less than 1*C. The time seguired to achieve this condition vaned with type of Are stop

'~'"'"

used but was usually slightly in excess of 12 hours1.388889e-4 days <br />0.00333 hours <br />1.984127e-5 weeks <br />4.566e-6 months <br />.

F4 sere !-Ekest6on v6ew of test setup. Later tests, however indicated that the wall temperature (and, therefore, the conductor temperature) continued a CmCRETE WALL to increase when the test duration was extended. Later f

tests were, therefore, conducted for durations - h-AT 100 hours0.00116 days <br />0.0278 hours <br />1.653439e-4 weeks <br />3.805e-5 months <br />.

(~ c NwCTOR Figure 4 shows the test setup with the stepdown

<M Ai transformers in the foreground and the cable tray in-

\ AT CABLE TRAY stallation in the background.

(sn ies Surface)

~

SECTION A- A (WITHIN THE WALL) TESTS CONDUCTED (d NWRE 2 The following is a description of the vanous tests y y conducted.

TCONDUCTOR CONDUCTOR

/ . c Gypsum Fire Stop-One Side Only f - - Caste TRAY mam_ tou's'oe surtocol The first type of fire stop tested was the gypsum (Fire

"",' Code CT Gypsum) fire stop. The fire stop was installed aCAettTRAv___/ c Castr TRAY on one side of the wall for cable trays A through E by touri,oe sortece> tiasioe surtocel pouring a slurTy of gypsum over the cables at one side-SECTION 0-0 (OUTSIDE WALL) of the wall penetration. After the gypsum had set, a 6-novRE 2 inch section of thermalfiber (Thermalfiber Cr Felt) was a ocmoTts THERMOCOUPLE LOCalON used to fill the opening to allow for hand application of Fisure 3-Representative thermocespie locettom. gypsum to completely fill the wall opening. Figure 5 shows this installation. The total thickness of the fire thermocouples were placed at different locations of the stop in the open wall area was 9H inches. The gypsum wall surface and inside the fire stop on the wall surface covered the cables over a 24-inch length in each direc-to sense the temperature of the concrete. The ambient tion, temperature was sensed by thermocouples located 6 and The test was run, after allowing an initial drying pe-30 feet away from the test setup- riod of one week, by energizing all the cables in the four The test cables were energized from a manually reg. layers of trays at one time and also by energizing all the l ulated three-phase power supply. The test currents used cables in one layer of trays at a time. The test was tes-  !

were estimated to give a 50*C rise for cables in a cable minated when the rate of rise of the cable temperature tray in air using the Stolpe method.' These test currents in the wall was 1.0*C per hour.

were kept constant for all the tests conducted. In each test the cables were kept energized until all tempera. Gypsum Fire Stop-Both Sides of the Wall tures stabilized. Temperatures were recorded at hourly This test was conducted after a second gypsum fire intervals and just pnor to deenergization. Initially, the stop similar to the first was installed on the other side tests were run until the temperature change durmg a of the penetration. As in the previous test, all the cables l

i i

1

Calc. No. 4266/19G52 j

' Rev. 0 i

Page A4 of Project No. 9376-20 lests on ene Effects of Fire . stops on sne Ampacity Rating of Power Cabies n -

i S ,

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I I

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w

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! hrure 4--Test serno.

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1 m each laver of trays were enercized one laser of trass -

at a ume and then all tne cables in tne tour layers of

' .. - PJ) trass were enercized simultaneousn in each case the e' - '

j nnai temperature measurements were recordea and the

- es

' - c g~ -

l est termmated w nen tne maximum rate et nse of the brure whre siop instauanon.

l .ame temperature in the wall was O PC per nour Modified Gypsum Fire Stop mstalled in the penetrations for cable trass A through i

F The sihcone foam used had a density of :0 lb/ft and A modi 6ed gy psum fire stop of a difTerent cesign was was mstalled to a depth of 10 menes mto the penetra-

! tested in an attempt to reduce the impact cf the 6re tion on one side of the wall lhe test was conducted

, stop on cabie ampacu> deratines This 6te stop con- with tne cable m all the trays energized simultaneously l

usted of a 4-men section of thermalfiber mserted m the and then with only tne cable m tne top later of the l

renetration followed by tne apphcatmn of a 5-inch sec- cable tran energized Althouch the curation of this test un a gypsum 1 he gy pum was made mto a paste was 50 nours with all cables energized ano an additional i

ntner than a siurn to make it posuble to apply it 50 hours5.787037e-4 days <br />0.0139 hours <br />8.267196e-5 weeks <br />1.9025e-5 months <br /> with the top laser enercized. steacustate con-l sitrun tne specified thic Aness witnout Oow mc into the d:tions were approacned out not reacned This can te i .ame tras en botn siaes of the tire stop I nc g)psurn

a as appucJ tiush with it
e concrete w ah at tne pene. attnbuted to tne contmued neat Duncup m the massne r men l his tire stop w as appned en onn er stae m structure et tne concrete wall Wnen tne 6te stops were dismantled '

w as ors.erved tnat .u r pockets were

, w ah penetratmns for catsie trau A. D D and I trapped m tne smcone j I: penetratien re canle tras L was filled w ith a dif-

%mg g, ,

MrM & W-inen. 20-

{ :cm n pc el nre sto; used f or otner teus atent w as circulated throuet tne sanns. ' in shicone toam 6re stops were remosed ar.d m tneir tw' I

a ret s i<r drs tnt ys psum and it' dris e ( !l s(1me ti; thi place uhcone rut ner witn a densits of R lb/ft w as m.ahs smomed w ater, icas m e tne es psum par used .I nese hre stops w ere installed in the w all pene-

.a!. .aicincJ 1 %ee f.Irai!r aphs l 'l acini UndC' l ert. trations tM cable tras s A. D. D. and I. tti a depth of t-ratu?e Riv kesults i Inc amnacits test was inen first InCnes ar1C in tne wall penetratl0n t?" Cable tras C. t(i a nductcJ w it h aC Inc tabies umultaneoush carn m p depth O! ' f eet h mpletch Olime tne wah openmcl

)  :.c predetermmed test currents and inen was 'eneated teu was conductea with tne cabic in au the trau i

<r re:.mc ah tne cames m ene ias er et came ' ras s a: enernlcJ MmWaneousa and also w:!n onh the cabie ir

,m t ne tU" las er U! tras s enerelled I nese tests w eT

  • repeat: I a!!ci tne Inerr?:al tirer in a; in f C I t\ IUU' ICS IUC PICsCIL- L a:r Pl'c hets Ir;

! n rsum tue stops was remm ed . . test in nennic Inr smJom w as onsen ed u nen tn' t:re sters were as l

2 su . nusure em ..e ,

a p psun mantiec a

, f.- nerma; fine F I4- o E WP ! CJ'm"e" 6'e .> rce-l ni . Is pc Cf tir e s'an w as mstai!ca in tne renetratta' tm same tras s A

' + " ' ' 5 TOC! [progg+ j },,y; ;gg . gggm,., g g y 3 g g y, g ,

' 'I rf e t s res . f siin a . 's!pps we  ? csit . l4' !b '

an wa ., instaIjed ' a dept' '

teef

  • . .s o tyr *00 m en f em- l L s i q, wa sg m p;;te e ter w ail t'Demnc Ir 't ' un sT

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

738 Volume 44. Proceedmgs of the Amencan Power Conference.1982 TAstEI Calc. No. 4266/19G52 1 Rev. O i 0 CABLE COATINGS TESTED page A5 of I Cartehre Flamestic Gypsum RAPCo Project No. 9376-20 Conductmty, Bruhn 'FAft' 3.5 2.3 0.7 0.23 Apphed Trocaness,in L L h 3 Foem ,

% Master ducted with the cable in all trays energized simulta. wall than in the section ofcable tray far from the wall.

neously and also with only the caole in the top layer of The temperature difference ranged from 2*C to 12*C trays energized. depending on co'nductor size and voltage rating. The in subsequent tests, the 145-Ib silicone fire stops were difference was highest for the No.1/0 8-kV cable and left intact and their temperatures were monitored. These lowest for the 500 kCM and No.1/0 600-V cables.

tests were continued for over 500 hours0.00579 days <br />0.139 hours <br />8.267196e-4 weeks <br />1.9025e-4 months <br />. When all the cable trays were energized simultaneously, conductor temperatures increased about $*C both inside 3 Cable Coatings and outside the wall resulting in no change in the in. l

. The impact of vanous types of cabic coating on cable crease in conductor temperature inside the wall com-I ampacities was also invesugated. Tests were conducted pared with that outside the wall.

on four different types of coating matenals that are As described earlier, at the conclusion of this test, a usually applied on cables in the tray for fire protection second identical fire stop was installed on the other side purposes. The four different coatmgs used are shown in of the wall. The temperature nse due to the double-Table 1. Each type of cable coatmg was applied on the sided fire stop ranged from 7'C for the 500-kCM, 600-test cables in the tray section outside the wall. The V cable to 16*C for the No.1/0, 8-kV cable with only temperatures of the cables before and after the applica- one tray layer energized at a time. When all of the tray tion of the coating for the same test currents were re- layers were energized at once, the temperature increase corded. inside the wall was higher, ranging from 10*C to 22*C.

This demonstrated the beginning of the impact of mu-Tray Covers tual heating from the other trays in the wall. As will be The effect of covenng cable trays on cable ampacity discussed later, the characteristics of the gypsum was investigated by companng conductor temperature changed as the tests progressed. The above results are nse with the covers installed over the trays to the values charactenstic of " fresh" gypsum. As additional testing obtamed without the covers. Vanous types of covers was conducted, the gypsum " dried out" and the range were tested such as raised covers that allowed air flow of temperature nse from this fire stop reached 18'C to and tight covers consistmg of galvanized steel sheets 31 *C.

completely covenng the cable tray and sealed at both The modified gypsum fire stop described earher was ends to prevent air flow, tested next. When all of the cables were energized, the temperature nse due to the fire stop ranged from 9'C Load Diversity for the No.1/0 600-V cable to 28'C for the No.1/0 8-Tests were conducted to determme the benefits at- kV cable. It should be noted that the 9'C rise was re-tnbuted to diversity of cable loadmg in a cable tray. corded for a tray at the bottom of the stack of trays, This test mvolved just the topmost cable tray layer with exposing it to mimmum mutual heating. Removing the only the 3/C No. 6 600-V and the inplexed. No. I 8- thermal fiber from these single-sided fire stops resulted kV cables. In this test, first the No. 6 600-V cable was in only a slight reduction in the fire-stop cable temper-deenerFtzed and the conductor temperatures of the en- atures.

ergized No.1/0 8-kV cable were obtamed. Afterwards, the 3/C, No. 6 600 V cable was energized. the No.1/0, Silicone Fire Stops 8-kV cable was deenergized, and the conductor temper- The thermal conductivity of the 20.lb sihcone foam atures of the No. 6, 600-V cable were obtamed. These first tested is 0.54 Btu /in *F-h-ft'. With all of the cables temperatures were then compared with the temperatures energized, this fire stop caused a temperature nse of f obtamed for the same thermocouples with both cables 10*C for the No.1/0 600-V cable to 31*C for the No l energized simultaneously. 1/0 8-kV cable. This is comparable to the modified gypsum fire stop.

TEMPERATURE RISE RESULTS The thermal conductivity of the 80-lb sihcone clasto-Gypsum Fire Stops mer tested is 2.5 Bru/in *F-h-ft'. In the cases where the The temperature readmgs for the first test (gypsum elastomer was mstalled to a depth of 6 inches, the tem-fire stop mstalled on one side of the wall) mdicated that perature nse ranFed from 9'C to 23*C. Where the the conductor temperature nse was higher mside the elastomer was mstalled to a depth of 3 feet, the initial

Calc. No. 4266/19G52 i Rev. O Page A6 of Tests on the Effects ofFire Stops on the Ampacity Rating ofPower Cables Project No. 9376-20 temperature nse was 27'C. This increased to 33'C as mixture is given off to the atmosphere. This process

/" the wall temperature stabilized. may be accelerated by heating the material.

The 145-lb silicone elastomer material had a thermal Calcining, which is the process whereby heat drives conductivity of 3.75 Bru/m *F-h ft'. As the high ther- the chemically combined water out of the gypsum, be-mal conductivity suggests, the fire stop temperature rise gins at about 70'C. When calcining takes place. the was the lowest of the matenals tested even though the thermal conductivity of the gypsum decreases, making three-foot wall was filled with this clastomer. The tem- the matenal a better heat insulator. The calcining perature nse with all the trays energized ranged from process is partially reversible if all of the chemically 6'C to 12*C. After an additional 500 hours0.00579 days <br />0.139 hours <br />8.267196e-4 weeks <br />1.9025e-4 months <br /> of testing, combined water has not been driven out. Also, the cal-the maximum temperature nse stabilized at 19'C. cinated gypsum seems to lose some of its mechanical strength. -

Other Test Results Preheating was done in the first tests to accelerate the The results of the cable coating tests indicate that the drying process to remove the free water from the ma- .

increase m conductor temperature with RAPCO coating terial so that it would not influence the ampacity test applied ranged from 40*C to 80*C. This is, in our view, results. It was, however, noted during the first tests that too excessive to make RAPCO a practical coatmg the temperature in the fire stop continued to increase method for power cables. RAPCO, however, can be after the initial drymg period, indicating that partial used for control and instrumentation cables. The calcining was taking place. As a result of this phenom-

" fresh" gypsum coatmg resulted m an average conduc- enon, mstead of termmating the test when the rate of tor temperature merease of about 7*C. Further " dry- temperature nse of the cable in the wall was between mg" of the gypsum coatmg resulted in more than dou- .8*C and 1.0*C per hour. as in the initial tests, subse- ,

bhng the temperature merease. The conductor quent tests were terminated when there was no meas- ,

temperature merease attnbuted to the Carboline and urable rate of temperature rise.  ;

Flamastic coatings was moderate and can be ignored. Analysis of gypsum from the Braidwood fire stops by  !

The relatively high thermal conductivity and the mod. both the material vendor and the Commonwealth Edi-  !

erate thickness of the applied coatmg explain the mini- son Company showed that a high percentage of the mal impact of the Carboline and Flamastic coatings on chemically combined water had in fact been driven off.

, cable ampacity. It was even observed that the applica- It should be noted, however, that the fire stops were  !

tion of either of these two types of coating actually re- exposed to temperature in the range of 100*C to 120*C.

suited m a reduction, rather than an increase. in the The temperature range the gypsum is expected to be temperature of some of the test conductors, exposed to in normal service is between 60*C and 80*C, Tests on raised trav covers resulted in a conductor temperature mercase of 5'C. while tight covers resulted COMPARISON OF TEST RESULTS WITH m conductor temperature mereases rangmg from 15'C ICEA/ NEMA AMPACITIES to 22*C. The ampaetty of the test cables based on their meas-The results for the load diversity test indicated 5'C to ured temperatures was compared with the ampacities 8'C reduction m conductor maximum temperatures given m ICEA-NEMA Standards.' The test results wnen the amount of heat generated in the tray is re- show that the ICEA ampacities were conservative for i duced m half. This is the mmimum benefit that can be the No. o and No.1/0 600 V cables; agreed with the l denved from 50 percent diversity. The maximum bene- tests results for the 500-kCM 600-V cable: and were  !

fit that can be denved from 50 percent diversity with high for the medium voltage cables. It can be concluded  ;

uniform distnbution of unloaded cables was calculated that ICEA can give conservative results for smaller ca-  !

to be 25'C. Actual mstallations will have a benefit bles or for high depth of fills where uniform cable lay-ranging between these two values. out can easily be achieved. However, wherever unifor-mity of cable layout is not maintained, the ICEA Aging of Fire stop Matenal ampacities can be on the optimistic side. Smce unifor-One unexpected but explamable result of the tests was mity of cable layout cannot be ensured with the instal-the contmume merease m tne temperature nse of the lation techmques normally used in power plants, we feel gypsum fire stops. that no credit can be taken for the theoretical conser.

Gypsum is a cement-hke matenal to which water is vatism that may exist m the ICEA tables. 4 1

added to make a mixture with a consistency appropnate DERATING FACTORS to the method of apphcation (spray, trowel, etc.). A drymg penod of three to four davs is necessary for the The deratmg for a cable system can be shown from basic heat transfer theory to be:

matenal to reach its normal meenamcal strength. Dur-mc this penod. most of the free moisture m the gypsum Deratmg = 1 - ( AI./A4)

I

Calc. No. 4266/19G52 740' Volume 44, hoceedings cf the American f>mer Conference 1982 Rev. O Page A7 of TAsi.E n Project No. 9376-20 '

4 AssPACITY DERATING AT FIRE STOPS (3-IN WALL 10 TRAY PENETRATIONS) l

.. Dereeng in Persent*

Cnnductor Twee

  1. 1/0 32 #1/0 #6 81/0 lochCM Type of Fire step 8 kV 5 kW Sky 600 y soo y 600 V .

Gypsum fire stop et both sales of was (each 3W ,

gypsum 4* thermal fiber 32 30 28 30 22 26 [

Mooned gypsum fre stop on one sale of was (5*

gypsum 4' thermal aber 22 21 - 18 8 13  ;

10* 204/fta dhoene" a fire stop on one sule of wen 23 19 20, 17 8 14 6' 804/ft* sibcone" fire stop on one outs of was 19 15 22*" 12 8 11 3' 1454/ft' eibcone tre stop 16 10 15 13 10 9  !

  • Derstmg W s' @ Amoscity n Trey - Amoscay n Fra Stop Amp ctry m Trey I mnese won approacnea em oy. mm conomons out o a not comonwy sist==e.  ;

..this ponere on ned a F fire stop. The cereung at emacy-saw worn up to 26% )

TABLEIH atures. Conversely, random cable configurations ,

Ae4PACITY DERATING DUE To and the crowding of cables into one location in the  ;

CASLE COVERih0S ON AMPACITY tray results in increasing the temperature in the Apptcomen Dersang, %' crowded part of the tray. However, an effort is Remed een covers 5 normally made to improve the layout of the cables Ti8ne pen covers 15 at the fire stop. The thermal benefits resulting from RArco coenns (3 tosm. %* plaster), 40 the improved cable configuration at the fire stop i 15 f fy- tend to reduce the increase in conductor tempera-ture rise at the fire stop and, therefore, reduce the ce,,,enne (y,,. m ycoonns 0 magnitude of the required derating. These benefits, l ooreen, m although difficult to quantify, indicate a measure of  ;

Amomeny m Trey - Amoscity wiin covers or coenn,

, conservatism in the derstmg factors given in Table

^"***"""

II since the table is based on random cable laid ,

both inside and outside the wall.  !

where Ar and At, are conductor temperature rise above s

COMPUTER PROGRAM ambient at the cable tray and fire stop, respectively.

Based on the temperature values measured at the This formula can be used to obtam the derating due t vadous critical locations in the test setup, a computer the fire stop or coating using test data to derive the program was developed to evaluate conductor tempera-temperature rise over the ambient temperature for the ture rise within fire stops by modeling the thermal cable tray outside the treated area and the rise above characteristics and physical configuration of the wall, I ambient inside the fire stop or coated area-the fire stop, the cables, and the cable tray. The test The calculated derating factors for the various types results were used to define some of the boundary con-of fire stops tested are given in Table II, and the de- dinons in the heat flow simulation. Values calculated by rating factors for coatings and covers are given in Table the program show reasonable agreement with measured III. values.

A number of miscellaneous factors seemed to affect The program utilized network theory and finite dif-  ;

the amount of derating caused by the fire stop: ference techniques to solve the heat problem. The

1. Cable Size-The smaller the conductor size, the modeling method used simulates all the available heat Frenter the increase in temperature nse within the flow paths from the cables in the fire stop to the ambi-fire stop. ent. These paths include longitudinal heat conduction
2. Cable Insulation-The greater the voltage rating of along the cable tray and the radial heat conduction o the cable and, therefore, the insulation thickness. through the fire stop and concrete wall. The heat is the greater the increase in temperature nse within then dissipated by convection and radiation from the the fire stop. cable tray and concrete wall.
3. Cable 1.ayout-An even and uniform layout of ca- The computer model can evaluate the required de-bles in the tray results in lower conductor temper- rating for fire stops of different materials, physical di-

i Calc. No. 4266/19G52 Rev. O Tests on the Effects of Fire Stops on the Ampacity Rating of Power Cables pg9e gg og Project No. 9376-20

@s AMPACITY DERATING AT 6' HIGH FIRE STOPS l

  • 1/0. 5.KV CABLE l Derahng in Percent
  • lingle Tray Munisie Troys I WaN Thickness Wan Thickness I Type Of Fire Step 12* 24' 36* 12* 24* 36*

Gypsum fra stop at both seces of wou (each 3%*

gypsum.6* thermalfter) - 14 20 - 20 28 Modified gypsum tre stop on one sade of was (5* J gypsurrt4* therme# feer) 5 8 12 8 12 18 l 10* 204/ft* sihcone tre stop on one sede of well 6 9 14 10 15 23 i 6' 804/fta sihcone fre stop on one sine of won 5 8 11 8 12 17 10* 1454/ft* sMicono fre stop 3 5 7 5 7 10 ,

Amonedy m Tray - Amomeny n Fra $100 j

, ,g AmoaCny m liay  !

mensions, and as installed in walls of varying thickness. and tray covers. The test results were helpful in devel-Tab /c IV gives the calculated results for the derating oping a computer program for evaluating conductor required for a No.1/0 5-kV cable for vanous types of temperatures at wall penetrations.

fire stops. Based on these results, it was concluded that ampa-city deratings are required for cables in fire stops. Am-CABLE LOADING IN pacity deratings encountered in the tests ranged from 8 POWER PLANT INSTALLATIONS percent to 32 percent. The required derating factors The method of selecting cable sires for the various depend on conductor size and voltage ratmg. on the loads in the power plant incorporates conservatism (de-type and size of the fire stop, and on the thickness of

-. sign margin) that results in the i. elected cables actually the wall. The heaviest derating is encountered when the

@" carrying currents much lower than their rated ampacity.

This design margin should be taken into consideration if standard gypsum fire stop is applied to both sides of the deratmg multiplying factors are to be applied to the wall.

ampacity of cables. To detgrmine the typical magnitude An investigation into the desiFn margin in cable size of this design margin, an investigation was made of selection as practiced in power plant installations re-cable sizes and their expected loading for actual power vealed that this marFi n is large enough in most cases to plant installations.'This investigation covered three nu. accommodate the required derating. It is, therefore,  !

lear power plants and one fossil unit. The ampacuy of concluded that it is only necessary to check the cables each cable was compared. with its full load current and in the heavily loaded penetrations at the final design the total heat generated by the cables within the tray stages to ensure that the required derating is met when was compared with the allowable heat that will result in taking actual cable loading into consideration.

the rated conductor temperature rise.

The results indicated that the heat generated in the ACKNOWLEDGMENTS cable trays is usually less than 30 percent of the heat The authors wish to express their appreciation to that would result if all the conductors in the tray were Messrs. C. A. Mennecke, L. R. Norberg, and S. T.

carrying their rated currents. The most heavily loaded Rejudkowski for their efforts in support of the test setup cable tray had a heat generauon equal to 62 percent of and conducting of the field tests, and to Mr. T. M.

its capacity. The load currents in the power cables gen- McCauley for his contribution to the development of crally ranged from 30 percent to 80 percent of cable the computer program.

ampacity. The merease m conductor temperature at fire stops can, therefore, be easily accommodated in most REFERENCES cases without exceedmg rated conductor temperature. 1. Stolpe. L "Ampacmes for Cables m Randomly Filled '

Trays." IEEE Tranz Power Apparatus Syst.. PAS-90,962 l CONCLUSIONS 74 (1971) May/J une. 1 The fire-stop cable ampacity tests conducted at the 2. Insulated Cable EnFmeets Associauon and Nanonal Braiowood Nuclear Stanon were very useful in helping Electncal Manufacturers Assoctanon. "lCEA NEMA Standards Publication Ampacities Cables in Open-Top to cetermme the required cable ampacity derntmg for a Cable Trays." /CE4 Pub. Sa P-54-440. 2nd ed; NEVA numoer of different types of fire stops, cable coatmgs. Pub. Na WC51-1975.

I i

Natural-convection Systems 199

.4 um Table 7-4 Simplified Equations for Free Convection from Various WEO

( Surfaces to Air at Atmospheric Pressure According to McAdams [4] 8.T .* #

Surface Laminar, Turbulent, W g 104 < GrfPrf < 10' GrfPrf > 10' go -

g Vertical planes or cylinders A = b.29 4 - 0.19(AT)I s * @

Horizontal cylinders y A = 0.27 ( 7 t d.

h = 0.18(aT)I @

m Horizontal plates:

Heated plates facing upward or cooled plates facing downward A = 0.27 h = 0.22(AT)I

~ L/ /

Heated plates facing downward A = 0.12

/AT\l or cooled plates facing upward /

l tY;g*'C.,,j,,,uon 't.'.'.r ... i 4i . . ,. <

' 7-7CSIMPLIFIED EQUATIONS FOR AIR -

Simplified equations for the heat-transfer coefEcient from various surfaces to air at atmospheric pressure and moderate temperatures are given in Table 7-4. '

__.(' i Example 7-1

, Steam at 500'F flows through a 12-in.-OD pipe which is exposed to

~~ ' atmospheric air at 50*F. Calculate the heat transfer per foot of length.

  • 9 Solution We first determine the Grashof-Prandtl number product and .

then select the appropriate constants from Table 7-2 for use with Eq.

, (7-23). The properties of air are evaluated at the film temperature.

Tf = T. + T. ,, 500 + 50 , g73,7 j

~ 2 ,

ee Convec- p = 0.054 lb./ft8 '

il ams [4] ,

c, = 0.24 "g # u - 1.57 X 10-81b /ft-see - 0.05651b./ft-hr ^{s

, k - 0.0197 Btu /hr-ft *F #

  1. = 1.36 X 10-8 'F-' 1 .

4 4 .

g,, p, ,, e.gB(T. - T.),'d' I kg s , t a t . (0.24)(32.2)(3600)'(1.36 X 10-8)(500 - 50)(0.054)'(1)' l

4 ~ (0.0197)(0.0565)  !

3

- 1.60 X 108 - -

, .-.- i i

\

t

^

l l

l l

H y.t CONDUCTION IN SOLIDS (3TEADY-STATE) 5:ction .502. 4 Transfer TV'O DIMENSIONAL TEMPERATURE DISTRIBUTION Page5 Division May 1971*

f3< HOLLOW HECTANGULAH CROSS SECTION . TWO-DIMENSIONAL HEAT FLOW Inner and Outer Surface inch at a Different Uniform Temperature l Heat input at One Surface (The Warmer One) i l

Maximum T.mper.iure. Calc. No. 4266/19G52

  • Rev. 0 j

'hs -'es*9" Page A10 of '

t a temperature of hot surface Pr ject No. 9376-20 hs t = temperature of cold surface Thick Walls i

"'r..'.

l .

[ \

i

$ -['~~~ /*' l \ )

-b 3, , , ,

4

~~ '

',. ,g

'"I"

.( 'N f

'h' e[.~b '

the

.- I,,.

& l b2  % te .

I"'I- *> M , (Ref. b)

"'(q.. ,9.(g.. ,7(q . . ,9. (q . s.) "' 2 '"6 " O REFERENCES
a. Mc Adams, llent Transmission, 2nd edition, p. 26.
b. Kutateladze, S.S. , " Fundamentals of Heat Transfer. " Academic Press. N. Y. ,1963, p. 89.
  • For symbols, see Section G502.1, p.1. and sketchen almve.

f SELLER AL $ ELtCTRIC s.p....d.. i.... .i M ay 2.19ss l

Calc. No. 4266/19G52

- Rev. O Page All of Project No. 9376-20 4

'Y RADIAT!YE ECCRANGE

[

body at any temperatun, the on AT. Values of f versus AT Table 1. Fractica /

or

  • u ar itse me ime sem

/ e.ses e.sze e.en e.e.

RADIANT-HEAT TRANSFER I{

t- ar sees use noe som BY . / e.n2 s.e4 e.ses e.e

' Hoyt C. Hottel and Adel F. Sarofim

.ar m m rue w e.7H e. css e.est e:e; L /

e.

Rartazwers: McAdams. " Heat Transmission." 3d ed. (chap. IV by Hottel). McGraw. . g" 1 indacates dat half of R d

Hill. Jakob. " Heat Transfer." vols. I and 11. Wiley. Viskanta and Grosh. Applied 'given by AT = 4107 macrons 3

' h Mechanics Reviews.17. e1.1964. 5426 spans half the energy. ne A heated body loses energy continuously by radiation.at a rate dependent on the r

shape, the sise. and, particularly, the temperature of the body. This emitted radia- A Radiative Exchan tion is capable of passage to a distant body, where it may be absorbed. resected, scat- Thiratio of the totalradiating p j

tered. or transmitted. ., j'~'ame temperature is called the e Consider a pencil of radiation, defined as all the rays passing through each of two the emissivity), danigmeant by small. widely separated areas dA, and dA . The rays at dA will have a solid angle of erentiate monochromatic, direct divergence dai, equal to the apparent area of dA, (viewed from dai) divided by the , " the total hemaphorical value.

square of the separating distance. Let the normal to dAi make the angle #i with the is called the abeerptence (a pencil, ne flux density 9 { energy /(time)(area normal to beam)) per unit solid angle niipended, b first to identify tl of divergence is called the intensity 1, and the flux dQ (energy / time) through ares dAs- 6 quality of theincident ra

)! (of apparent area dAi cos ei normal to the beam) is therefore given by J surface at tempersture Ts equ a

,o dQ = dAi cos di de = 1 dA cos 8 dai (1)j M"p'*,* ""

'f j pu tempwatum. Unh practi.

The intensity I along a pencil,in the absence of absorption or scatter, is constant' sty en are the same. L (unless the beam passes into a medium of different refractive indes n; li/ni8 = 1/n 8).s gray, and a - ea = . = a

} '-

The emissive power of a surface is the Bux density (energy /(time)(surface areall' un, total einittance ce due to emission irom it throughout a hemisphere. If the intensity I of emission from a g, tempwaten.

l . surface is independent of the angle of emission, Eq. (1) may be used to show that the . be w

pi surface emissive power is el, though the emission is throughout 2r steradians. [adas

' Black-body Radiation 'n - Qw. =

Engineering calculations of thermal radiation from surfaces is best keyed to the E.r 1

radiation characteristics of the black body, or ideal radiator. The characteristic ,,J'. hat has y. - ' '. it is elaar i 0.

properties of a black body are that it absorbs all the radiation incident on its surface .=

3

' and that the quality and intensity of the radiation it emits are completely determined g- n d/ari s, i 0 by its temperature. The total radiative flux throughout a hemisphere from a black .-

4 surface of area A and absolute temperature T is given by the Stefan-Boltzmann laws . .e (or ens) is the area under d - A,T* or g = ,T*. The Stefan-Boltzmann constant has the value 0.1713 X 10-* - '!Ti) from Table 1. A seisetrve lf ['.

g Utu/(sq ft)(hr)(der R)*, 5.67 X 10-5 ergs /(sq cm)(see)(des K)*; 5.67 X 10-* watts /

(sq m)(des K)*, or 1.00 X 10-* chu/(sq ft)(hr)(deg K)*. From the above definition

. ;(high) value as A incrusm.

are snarkedly diferent wbe 4!I of emissive power,,T* is the total emissive power of a black body, called E; and the ture) and Te = 10000 R (e J- for a-white paint, but ei c:

1 ' intensity Is of emissiou (rom a black body in E/r, or eT*/r. .

The spectral distribution of energy flux from a black hody is expressed by Planck's of' copper oxide on bright alusc law h values of emittaneen er

  • a d imaginary componesta (II '-

i Ex dx = , ar _ g A of the surface layer, sease .

- Metals -(1) e is quite I I PNo'ximated by 0.00865 V l j .> wherein Es dA is the hemispherical flux density lying in the wavelength range A 48 '

.. ;at aborter waveisagths, e !

.' A + dA. With Ex (called the monochromatic emissive power) in ergs /(sq cm)(em)(sec) <

x in era and T in deg K, the values of ei and c are 3.74 x 10-eerg em8/see and 1.4387 E, vasable (0.4-0.7a), en is l

t ,'g,,,p,,,g,,g,, f .

em des E. It may be shown from Flanck's law that, of the total energy flux from a  !

[ . 4-108 i

u.i .  ;

' n l

l I, j

1 I -

* yr . , . , . , _ . _

Calc. It0. 4200/1h t

- Rev. O I Page A12 of Project NO. 9376-20 '

1 a

l ..

? rap **ER RADIATIVE EXCHANGE BETWEEN SURFACES Or SOLIDS 4-111 7 1.1,,. .nd decreases slightly witd s

.ince is substantially proportional to' ture of the radiation source. De absorptance of surfaces for sunlight may be read from the right of Fig.1, assuming sunlight to consist of black-body radiation from a rc' .. 0 58T Vr./T., where T is in -

source at 10800 R.

,t T for radiation from a hiack or gray From Fig.1 it is seen that, when T is not too different from T , ein may be expressed d at the geornetric mean of Te and T ,

The ratso of bemispherical to normal i

ittance (absorptance) varies from 1.33 .i, Table 2. rmt.aivity of Sarfaces l yery low /s ( 's) to about 1.03 at an ,

c) of 0.4.

Unissa extraordinary pains are taken 7 ,,.

dsF goi,.

.,,isy. ser 7,,,,,,,

g, ,,

j;  ;

prennt oxidation, however, a metallio j; Mrrana are Tsana oxes. Ni.hron. ww., brisha i m isso e.65-o.7,

-face may exhibit several times the '3 Ebromw =rt .aut. . 120-no o.es-o.es a

'tittance or ag,nrptance og a poh,b,g Aluaunum: ACI.HW(coNA.12Cr);

sciman. The emittance of, iron , #5 Ilschir polah.d.. 440-to7e o.e36-0.os7 Ara bi k s.. oat., $ & to45 c.et rd.h.d...- . . .. n m e.e4 ristinum. poi.6.d piau 440-2,6o o.os-o.82 o. 7

'el* for example, varies widely wt f - Rowh olam. . . . . . . 7s 0.04e.eo7 silm. pe rm . 4e-neo a.ow,os gree of oxidation and roughne.ss-clean- , Onduw at lito r. . sWH10 ' r n-o.It Bialai .e l :

itallic surfaces have, an emittance of ond. . . . . . . . . slo-eszo o.o-ar.26 Trp ass..a.ma.d. . .. 75 0.2e r

im 0.05-0.45 at ambient temperatures .-

y AHor n5T.

ner, rep . . . . . . ..d home..

n o.m 316. rep.amd W 44 m o.s w M

< So4. 62 hr st oco r. . 4& 0.63-o.

i 0.4-0.7 at high temperatures;osi ' ins... . 4 * +00 e.2H.16 sto. swan m . . 4 5 ,9eo oo a.mo.,n7 i

- d/or rough surfaces range from 0.6-0 '

B'm An.emr es. pu-4 212 c.es low temperatures to 0.9-0.95 at Insur od= tid. . . . . .

2 -- neu.d piam, masural.,

4'7. 73e 0.8

  • Taandainsia. m s.. .. NNm o. nu.n 72 . Thanum mi... .. $ 5 1520 e.ss-o.24  !

.nperstures. Raned..aar Tim. brisha. . . . . . . . . . . . n o.e4-e.s4 RsfractorF Materials. Gra.in eise na

. .===d-..~~. n o.2o Tua so-sooo s.sw.n  ;

neentration of trace impurittes are - oxid=.d ss uto r.. s*n to e. m o.se zia.sema.

. so.15asw .ammi. ah--t.

Chr. anum . . . s w tooo c.os-o.26 poh.hed. . . . . . . . . . .

' rtant. (1) Most refractory ma a .- c.,,w cane trom, bridt..

44o4 20 e.es :I"t e.n .+-

  • s2 1:

ve an a of 0.8 to 1.0 at wavelengths Einte.arti pol =hed in o.o2 Gair., srar end.... .. 7s o.28

' yond 2 to 4 microns; a deereases rapidly j come ward shorter wavelengths for ms. . J pg,,

s==d at ino r. . . .

. .. 66 no-u m c.oso o.sw.sr a.r,s an , s iidi s g. rsnia, p.ja , x;,,, j;'

at are white in the visible but retalos Tw.k .und .oatias.. . 77 e.7s Alumina. Aos,sraan.m... lo W 2sse gh value for black materials such as F cape .md.. 14 5 2ose o. w o.54 o. S o.2e nro-2 m

n. - '

coats. . . nwam

' 2d Cr O Small concentrations of F g dd",",,"'*"i;;-[. o.16.e. n a _ , , ,, ,,, , ,,

,j L, idCr O orothercoloredoxidescanes a band. . . . 4 mise o.2w.2o arke,' 3. Odd. hishir rw 44o-H6e o.o2-o.4o 2.0% r o.:: . . " . " . ' .' " . ll " .' o.7 sip '

I reases in the emittance A2 pamm <wy mth whits. o of .,I, l

risi, ' are normally g I'",",,*d $g _ , ,i g fractor, materials varies little

  • washe s,,,,

r no un e,,y,,, gt nn ao.r body. 2

.l g, , , , ", , , , ; , , - ,e ,,,

mperature. (2) Refractory ma 4 p.t.h.d . . . . . . . . lon.46e A2so.6o candi nounaapua.k.

,i.

nsrally havs a total emittance which , = $mmth.bmHron. 16WHW 4,,, esser sta . . . . . . . .70-700 0.9s i s.ol K

j t 'gb (0.7 to l.0) s.ambiens temperat i 2d decreases with increase in tem ,

i,",",,,1,jgd* I 3 ',%, ca

,,7j.s2 ocp piam. band-- 260-H60 e.st-o.n y

ire: a change from 1850 to 2850 F samsty .md pf jdum === and en i. 2no-n20
d. .. . . loo-4so e.e5 e.4a-o.4s L,3..a,o,on. ,a, 6e p '

N1...........- o.s2

tune a decrease in e of one-fourth to coe-(, ,d,g, ,,,,,,,g , , , ,, g , , p 2-2.aan. a

,{

iird. (3) The emittance and a crar.md d.... 7s e.as ince increase with increase in grain , oud dasseor... 3,o e.63 nubb.i." *a~r* * "ds' i.J P'

, .g ,,,,,,,,,, ,, o,,,

ier a grato.sise range of I-200 m. + (. 32-2
2 F pur" ham. m . o. w o.12

.r u; 1: sway bani.k p' .

154a-4700 e.to-o.29 Mw h.d.abra

'ed mi.un.Es7ao.M"*bd.aumga6 am.at. .

he ratio ./e. of hemispherie to no '

jg nissivity of polished surfaces varies  ; .oap 7s o.37 aus hd ,ak gi , ,7,,,,, ,w, ,

fractive index from 1 at n = 0 to 0. s.

,gimaud 6 sms. . m.iew o.4w.6s .m m.i passt. r ans *I e n - 1.5 (common glass) and b I

.96 at n = 3. (5) The ratio e/

g n M'M' u.nr.,iahd. a.*

n o.n P"j u p!"*ar- ,, 3 wy ,

2rface composed of particulate ui nisia.w pm g od= hat.. . .

t- 6e o. iwa, ,w ,,,,,,

hich scatters isotropically vanes om I when e - 1 to 0.8 when e

  • pi,,,";; .;;;;;g; j,6g '

p,g rmd

_ uria.rf-' ,f; ' ;

Whd .md. . . . . 12

  • 229o e.s w .se

, rith increase in temperature of the .

k brhk. .mE sN '

f e with increase in the specimen tem ,'

. ceppw.*"'..d-g.ghed . . . . . . . . . 212 e.06 hard = r rowin.

amtwae. kin.anr.wi,.

p' l y

parature of the radiation source on,

' at room temperature. It will be _

4 r

-g;,,ggighai, 2 c. i r.wwer.srapws.. To e .,w. ,6 l . d}

,!;y

.d aluminum (line 13), representative , . when . ,,,,, and ***

I oppositely to a change in the tem .med. and ha.nr interpoistaos is pumumbi

=.ivhim nr. W,= .

' ar.: e ares mad med so

~

I'lf t >

i P.Q i

l l

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Project No. 9376-20 souma oppea uam N cais,m N/A N/A PImport No. N/A N/A ,.

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Calc. No. 4266/19G52 Rev. O Page A14 of DIT-L8-EPED-0269 i Project No. 9376-20 Project No. 9376-020  :

Page 2 of 3 l Task 1 Determine the amount of ampacity dorating required for a firestop configuration using a layer of Thermo-Lag 330-1 fire barrier material and a layer of Darmatt 10(1 fire barrier material. The l Thermo-Lag fire barrier material is currently installed over the l existing power cable trays at Unit i routing pointe 163A, 164A l and 165A and Unit 2 routing points 153A, 154A and 155A. The ' '

l layer of Darmatt will be applied directly over the Thermo-Lag material due to difficulty in completely removing the existing Thermo-Lag from the cable trays. There will be no credit taken ,

for the existing Thermo-Iag as a rated 1-hour fire barrier. The l enveloping layer of Darmatt material will provide the required 1-  !

l hour rating. However, the impact of both fireproofing materiale must be considered in evaluating power cable ampacity derating.

i Task 2:

Perform a similar evaluation to Task 1 noted above, except that the ==isting Thermo-Lag fire barrier meterial will be__remered frca the top section of the power cable _ trays prior to installing the outer covering of the Darmatt material.

The dorating factere calculated for Tasks 1 and 2 will be entered into the LaSalle SLICE program by EPED to evaluate the impact of 1 the dorating relative to power cable ampacity.  !

Cable Tray Datal siza- 4"x30" Type- (14 gauge galvanised steel with solid botton Depth of fill- 0.91" Power Cable Data Surrounding Ambient Temperature- 40*C Rated conductor Temperature- 90*C e . .._,, , 3 .y ..cc4 r< l Thermo-Lag 330-1 Material Data:

Thickness- 0.5" - ~ '

.a

""* NO n,rz e Emissivity- 0.3" m Thermal Conductivity- 0.1 BTU /hr-ft *R Darmatt Material Data:

Thicknees- 27am(-04,+15%)

Emissivity- 0.6 Thermal Conductivity- 0.0653 BTU /hr-ft *F 5 60*C mean temperature so S f l 2::.f-

Calc. No. 4266/19G52 Rev. O Page A15 of bo*$

Project No. 9376-20 m

DIT-LS-EPED-0269 l Project No. 9376-020 .

Page 3 of 3 References Cable tray data wee taken from Drawing 1E-0-30748, Revision D and I

S&L Spoodification J-2560.

  • The Thermo-Lag material data was taken from SEL Calculation 4266/19BC31, Revision O. "

The Daraatt material data was taken from a TRANSCO PRDDUCTS INC.

Facsimile dated 02-14-94.

l l The maximum ambient temperature of 40*C is +=1ran from the Lasalle.

County station UFsAR Section 3.11.

The 90*C conductor temperature rating can be assumed.

1

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's 1

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t ATI'ACHMENT C l

1 Sargent & Lundy Engineers Letter, dated March 10,1994,concerning LaSalle County Station Power Cable Ampacity Assessment i

i l

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. SARGENTO LUNDY )

ENCHNEERS l rounctoemel \

[~ ' SS CAST MONROE STREET CHICAGO, ILLINCIS 60s03-5780 (3128 269 2000 e

SCE-07113 l March 10, 1994 i Project No. 9376-020 Commonwealth Edison Company LaSalle County Nuclear Station Units 1 and 2 .

Power Cable Ampacity Assessment Engineering Support for Resolving Regulatory Issues Related to Thermo-Lag 330-1 Fire Barriers Modification No.: N/A System Code: FP Safety-Related: Yes WIN 0450 Mr. J. W. Gieseker r' Site Engineering and Construction Manager k Commonwealth Edison Company LaSalle County Nuclear Station R.R. #1, P.O. Box 220 2601 North 21st Road Marseilles, Illinois 61341

Dear Mr. Gieseker:

Sargent & Lundy has completed its power cable ampacity assessment for the affected power cable tray routing points utilizing the installation of a one-hour Darmatt KM1 fire barrier over the existing Thermo-Lag 330-1 fire barrier material.

Sargent & Lundy Calculation 4266/19G52, Revision 0, dated March

  • 4, 1994, determined the ampacity derating required for two configurations. Configuration 1 calculated a derating factor with a one-hour rating of Darmatt firewrap material covering the existing Thermo-Lag 330-1 material over the top, bottom, and '

sides of the 4" x 30" power cable trays. Configuration 2 calculated a derating factor similar to configuration 1 except that the top layer of the existing Thermo-Lag 3301- material was removed. The results of this calculated determined derating factors of 0.57 and 0.59 for Configuration 1 and Configuration 2 respectively.

.. y

1 i

, SARGENT & LUNDY E N GIN E E R S C HICoG O Mr. J. W. Gieseker SCE-07113

(~ Commonwealth Edison Company March 10, 1994 i Page 2 l l

l Since the derating factor of 0.57 has the greater impact upon ampacity derating, this value was entered into Sargent & Lundy Interactive Cable Engineering (SLICE) program for affected routing points 163A, 164A, 165A, 153A, 154A,.and 155A. The

" Cable Tray Power Cable Ampacities Selected Cables" Report S110 was generated for the affected power cable routing points. The results from this report show that the calculated ampacities for .

the affected power cables are greater than their respective full load currents. A copy of this report has been attached to this letter.

2 Therefore, the one-hour rating of Darmatt KM1 firewrap material can be applied directly over the existing Thermo-Iag 330-1 without any adverse affect upon cable ampacity derating.

If you have any questions concerning this subject, please call me at (815) 357-6761 (extension 2103).

Yours very truly,

^

(. ' -

D. A. Kol ak

(

Senior Electrical Project Engineer DAK:sig CECO DDL-DC: CO20 Attachment Copies:

CHRON System (1/1 via Hardcopy)

D. S. Berkman (1/0 via CCMail)

S. Javidan (1/0 via CCMail)

R. W. Tomala (1/1 via Hardcopy)

C. H. Furlow (1/0 via CCMail)

L. V. Jacques (1/0 via CCMail)

R. A. Parson (1/0 via CCMail)

J. L. Engleman (1/1 via Hardcopy)

J. S. Esterman (1/0 via ccMail)

D. A. Kolczak (1/1 via Hardcopy)

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All Rights Reserved j QUITE TRAY POWER CABLE AMPACITIES - SELECTED CABLES ( S110 ) LASAILE 12t1T 1 PROJECT NO: 7705-03

........ ____ ............................. ....................................................._... 03/09/94 PAGE:

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ABLE TRAY PONER CABLE AMPACITIES - SELEcrED CABLES { S110 )

..........................._.._____.....__....._....._..................._____...................__... 3/09/94 LASALLE INet? 1 PR<MEcr NO: 7705-03 0 PAGE:

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Ccpyright (C) 1986-1993 Sargent & Lurufy Engineers -. All Rights Reserved

....................................................................................... ............................................?

?AILE TRAY POWER CASEE ANPACITIES - SELECFRD CABLES ( 8110 1 1ASALLE UNIT 2 PROJECT No: 7705-04 03/09/94 PAGE: 2

....................................................................................................... ........ ........... ....... y' rRAY Poltft: 154A C00rTINUID. . . ** f 2D0034 P 03146 0.50 2DT017 P 03106 0.70 0.00335000 0.00132500 6.3 10.5 20.00 34.40 c.32 C.31 F! '

2Dr023 P 03106 0.70 0.00132500 10.5 34.40

  • 2FCO22 P 03006 1.50 C.31 -

0.01290000 .

90.0 106.06 0.83 2FC047 P 02146 0.50 0.70135000 '

7.5

  • 20.00
  • 2RH196 P 035D6 2.70 0.38 0.e0275000 228.0 389.60
  • 0.59 2*H197 P 02146 0.50 0.00335000- 7.5
  • 20.00 *

!, 2RH201 P 03506 0.38 2.70 0.00275000 228.0 389.60

  • 0.59 "

2RM202 P 02146 0.50 0.00335000 7.5

  • 20.00
  • 2VD012 P 03026 1.20 0.0;2030000 0.38 te ;

50.0 67.37 0.7%

  • 2VD018 P 03146 0.50 0.00335000 4.6 20.00
  • 2VYO22 P 03146 0.21

, 0.50 0.00335300 7.0 20.00

  • 0.35 tr .

e -

IIDIH OF TRAY 30.00 Ei EPTH OF FILL: 0.91 **

! LEAT INTE3tSITY: 7.52

'K!*.ATING FAC70RS: N AMBIENT: 1.00 DERATIOfG FAC'IVR NOT DEFINED; STANDARD DERATING FACTOR USED E, COVE 2S 1.00 DERATING FACTOR fF7T DEFINMDr STANDARD DMRATING FAC2VR USED cc FIRE SEALI: 0.57 }'

FIRE SEAL 2: 1.00 DERATING FAcr0R NDr DEFINED: DEFAULTS 10 FACTOR FIRE SEAL 1 *-

FIRR SRAL3- 1.00 DERATING FACTOR NOT DEFINED: DEFAtLTS 10 FACTOR FIRE SEAL 2

' RAY POINT: 155A CABL3 PtLLED TYPE DIA. AC RE518T Ft. PROJ FIC CAIrtKATED FREE AIR tr .

NUNBER STATUS CODE FLC/ EXCEED METER OI0tS/100Fr CURRENT USED ARPACITY AMPAC USED ANPACITY FEAG %l 200012 P 03006 1.50 0.01280000 92.0 106.06 2DG020 03066 0.07 6i P 1.00 0.05130000 14.0 35.32 0.40 i 2DG022 P 03066 1.00 0.05130000 14.0

  • 2D0037 35.32 0.40 P 02144 0.50 0.00335000
  • 7.5
  • p:

2DG038 20.00 -

0.38 i P 03066 1.60 0.05130000 24.0 35.32 0.68 2DG046 P D3166 0.50 0.00335000 2.5 20.00 2DG054 P 03246 0.50 0.00335000 1.8 20.00 0.13 E 2DG232 03106 0.09 ji P 0.70 0.00132500 1.2 34.40

  • 0.03 2D0036 P C3146 0.50 0.00335000 63 20.00
  • 2PT017 P 03106 0.32 0.70 0.00132500 10.5 34.40
  • 0.31 2 DT023 P 03106 0.70 0.00132500 10.5 34.40
  • 2ft022 P 03006 0.31 1.50 0.01250000 98.0 106.06 0.03 2FC047 P 02146 0.50 0.00335000 7.5
  • 20.00
  • 2RH196 P 03506 0.38 2.70 0.00275000 228.0 3s9.60
  • 0.59 2RH197 P 02146 0.50 0.00335000 7.5
  • 20.00
  • 2RH20L P 0.38 ' cc 03506 2.70 0.00275000 228.0 389.60
  • 0.59 2RH202 P D2146 0.50 0.00335000 7.5
  • 20.00.
  • 0.38 7 2VD012 P 03026 1.20- 0.02030000 50.0 67.37 ed 0.74 C 2VD010 P C3146 0.50 0.00335000 4.6 20.00
  • 0.23 . E.

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Copyright (C) 1996-1993 Sargent & Lundy Engineers All Rights Resarved CACLE TRAY POWER CABLE AMPActTIES - SELECTED CABLES ( S110 ) IASALLE UNIT 2 PROJECT Nor 7705-04 03/09/94 PAGE: 3 TRAY PCINT: 155A CONTINUED. F 2VYD22 P 03146 0.50 0.00335000 7.0 20.00

  • 3.35 F.

CIDTH CF TRAY- 30.00 d

DEPTH CF FILL: 0.91 -

, HEAT INTEteSITY: 7.52

, DERATING FACTORS:

AMBIENT: 1.00 DERATING FACTOR NOT DEFINED: STANDARD DERATING FACTOR USED COVERS: 1.00 DERATING FACTOR NOT DEFINED: STANDARD DERATING FACTOR USED -

E3RE SEAL 1: 0.57 e*

FIRS SEAL 2: 1.00 DERATING FACTOR NOT DEFINED: DEFADLTS TU FACTOR FIRE SEAL 1 FIRE SEAL 3t 1.00 DERATING FACTOR NOT DEFINRD: DEFAULTS TO FACTOB. FIRE SRAL2 i Y POINT: 156A CAB PULLED TYPE DIA- AC RESIST FL PROJ FLC CALCULATED FREE AIR FLC/ EXCEED **

NUMEER STATUS CDDE METER OHMS /100FT CURRENT USED AMPACITY AMPAC USED AMPACITY t.e.

2DG020 P 03066 1.00 0.05130003 14.0 63.20

  • 0.22 2DG022 03066 1.00 0.05130003 14.0 63.20
  • 0.2 N 2DG038 P 03066 1.00 0.05130003 24.0 63.20
  • B "i 2DG046 P 03146 0.50 0.00335003 2.5 20.00
  • 0.13 -1 '

2DG054 P 46 0.50 0.00335000 1.8 20.00

  • 0.09 2DG232 P 03 0.70 0.00132500 1.2 34.40
  • 0.03 2VDC12 P 03026 1.20 0.02030000 50.0 110.40
  • 0.45 2VDC18 P 03146 0.50 0.00335000 4.6 20.00 0.23 u 2VYC22 P 03146 0 0.00335000 7.0 20.00
  • 0.35 g NID'IH OF TRAY: 3C.00 F; DT.PTH OF FILL: C.20 -

HEAT INTENSITY: 15.40 DERATING FACTORS: *l '

Ib DERATING FACIOR NUr DEFINED: STANCARD DERATING RU i FIO'J SEAL 1: 1.00 DERATING FAC1 tnt NOT DEFINED: FTANDARD DERATI USED c FIRE SEAL 2t 1.00 DERATING FAC1tMt NOT DEFINED: DEFAULTS TO F E SEAL 1 }

FIRE SEAL 3: 1.00 DERATING FACIOR NUr DEFINED: DEFAULTS TO F R FI RAL2 TRAY POINr: 157A CABLE PULIED TYPE DIA- IST FI, PROJ FLC TED PREE AIR FLC/ EKCEED NIMBER STATUS CODE METER /100FF CURRENT USED ITY AMPAC USRD AMPACITY FLAG 2DG020 P 03066 0.05130000 14.0 63.20

  • 0.22 c 2DC022 2DG038 P

P 03066 03066 1.00 1.00 0.05130000 0.05130000 14.0 24.0 63.20 63.20

  • 0.22 0.38 7

W 2DG046 P 03 0.50 0.00335000 2.5 20.00

  • 0.13 0

~>DG054 P 46 0.50 0.00335000 1.8 20.00

  • 0.C9 N C

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