ML20151W180

From kanterella
Jump to navigation Jump to search
Rev 2 to BYR98-109/BRW-98-0339-E, Base Line Ampacity Values for Std Fire Wrap Configurations
ML20151W180
Person / Time
Site: Byron, Braidwood  Constellation icon.png
Issue date: 08/25/1998
From: Bojan J
COMMONWEALTH EDISON CO.
To:
Shared Package
ML20151W144 List:
References
BYR98-109-BRW-9, BYR98-109-BRW-98-033, BYR98-109-BRW-98-33, NUDOCS 9809150208
Download: ML20151W180 (64)
v • d • e


Text

_ _ ._ - - - --

NEP-12-02 l Revision 6 l

Page 1 of 59 l

CALCULATION TITLE PAGE Calculation No.: BYR98-109 / BRW-98-0339-E Project No.: 09044-069 /09128-363 Description Code: E03 Discipline Code: E l

~ STATION: Byron /Braidwood 1&2 l System Code: N/A TITLE: Base Line Amoacity Values for Standard Fire Wrao Confiourations

@ Safety Related O Augmented Quality O Non-Safety Related REFERENCE NUMBERS Type Number Type Number PROJ 09044-069/ 09128-363 AEDIV EAD COMPONENT EPN: DOCUMENT NUMBERS:

EPN Compt Type Doc Type /Sub Type Document Number C85 DATA SLICE CALC / ENG BYR96-088 / BRW-96-207-E CALC / ENG BYR98-136 / BRW-98-0644-E REMARKS:

REV. REVISING APPROVED DATE NO. ORGANIZATION PRINT / SIGN 0 S&L John J. Bojan June 22,1998 1 S&L John J. Bojan August 11,1998 2 S&L John J. Bojan August 25,1998 9809150208 980908 PDR ADOCK 05000454 P PDR

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

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION REVISION PAGE CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069/ PAGE NO.: 2 of 59 BRW-98-339-E 09128-363 REVISION SUMMARIES REV: 0 REVISION

SUMMARY

Initialissue: AllPages Electronic Calculation Data Files: See Attachment A (Program Name, Version, File name ext / size /date/ hour /: min) l Prepared By: W. G. Bloethe June 22.1998 Print / Sign Date Reviewed By: S.Z.Haddad June 22.1998 Print / Sign Date This calculation was created using Microsoft Word for Windows, Version 6.0c (Sargent & Lundy Program Number 03.1.256-6.0C) and Mathcad 6.0 Plus (Sargent & Lundy Program Number 03.7.54&6.00). The data files used in this calculation are hsted in Attachment A.

The reviewer's signature indicates compliance with S&L standard GES 320.10 and the verrfication of the following,-minimum items: correctness of math for hand prepared calculations, appropnateness of input data, appropriateness,-of assumptions, and appropriateness of the calculation rnethoc!.

Type of Review

[X) Detailed [] Alternate [] Test Supplemental Review Required Supervisor

[ ] Yes (NEP-12-05 documentation attached) [X) No DO ANY ASSUMPTIONS IN THIS CALCULATION REQUIRE LATER VERIFICATION [ ] YES [X] NO I

Tracked by: 1 REV: 1 I REVISION

SUMMARY

Correct typographical errors in calculation number and revise pages to Rev. 6 form. No other changes were made.

Electronic Calculation Data Files: See Attachment A (Program Name, Version, File name ext / size /date/hourl: min)

Prepared By: W. G. Bloethe Auoust 11.1998 Print / Sign Date Reviewed By: S.Z.Haddad Auoust 11.1998 Print / Sign Date <

This calculation was created using Microsoft Word for Windows, Version 6.0c (Sargent & Lundy Program Number 03.1.256-6.0C) and Mathcad 6.0 I Plus (Sargent & Lundy Program Number 03.7.548-6.00). The data files used in this calculation are hsted in Attachment A.

The reviewer's signature indicates compliance with S&L Standard SOP-0402 and the venfication of, as a minimum, the following)tems:

correctness of matn for manually prepared calculations, appropriateness of input data, appropriateness, of assumptions, and appropriateness of the calculation method.

Type of Review

[X] Detailed [] Attemate [] Test I Supplemental Review Required [ ] Yes (NEP-12-05 documentation attached) [X] No l Supervisor i .

DO ANY ASSUMPTIONS IN THIS CALCULATION REQUIRE LATER VERIFICATION [ ]YES [ X) NO Tracked by: l

NEP-12-02  !

Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION REVISION PAGE CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069/ PAGE NO.: 3 of 59 BRW-98-339-E 09128-363 REVISION SUMMARIES REV: 2 REVISION

SUMMARY

Correct typographical errors; clarify selection of value for cable resistance on pages 5 and
10. All pages issued.

Electronic Calculation Data Files: See Attachment A (Pregram Name, Version, File name ext / size /d te/ hour /- ),

Prepared By: W. G. Bloethe / _

Auaust fi998 Print / Sign Date Reviewed By: S.Z.Haddad -

Au.Lqust 25.1998 Print / Sign Date l This calculaten was created using Microsoft Word for Windows, Version 6.0c (Sargent & '. undy Program Number 03.1.256 6.0C) and Mathcad 6.0 Plus (Sargent & Lundy Program Number 03 7.548-6.0D). The data files used in this calcu ation are listed in Attachment A.

The reviewer's signature indicates compliance with S&L Standard SOP-0402 and the venfcetion of, as a minimum, the following, items:

correctness of math for manually prepared calculations, appropriateness of input data, appropriateness, of assumptions, and appropriateness of Type of Review  !

[X) Detailed [] Alternate [] Test Supplemental Review Required Supervisor

[ ] Yes (NEP-12 05 documentation attached) [X] No DO ANY ASSUMPTIONS IN THIS CALCULATION REQUIRE LATER VERIFICATION [ ]YES [X] NO Tracked by:

REV:

l REVISION

SUMMARY

Electronic Calculation Data Files:

(Program Name, Version, File name ext / size /date/ hour /; min)

Prepared By:

Print / Sign Date Reviewed By:

1 1

Print / Sign Date Type of Review

[X] Detailed [] Alternate [] Test Supplemental Review Required [ ] Yes (NEP-12-05 documentation attached) [X] No Supervisor _

c DO ANY ASSUMPTIONS IN THIS CALCULATION REQUIRE LATER VERIFICATION [ ] YES [ X] NO Tracked by:

l l

NEP-12-02 Revision 6 Page 4 of 59 COMMONWEALTH EDISON COMPANY CALCULATION TABLE OF CONTENTS Calculation No.: BYR98-109 / BRW-98-0339-E Rev. No.: 2 Section Page No. Sub-Page No.

TITLE PAGE 1 -1 REVISION

SUMMARY

2-3 TABLE OF CONTENTS 4-4 PURPOSE / OBJECTIVE 5-5 METHODOLOGY AND ACCEPTANCE CRITERIA 6-8 ASSUMPTIONS 9-9 I

DESIGN INPUT 10-13 REFERENCES 14-14 l CALCULATIONS 15-56 l

SUMMARY

AND CONCLUSIONS 57-59 l Attachments Attachment A 3 pgs.

Attachment B 2 pgs.

i NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 5 of 59 BRW-98-0339-E

1. PURPOSE / OBJECTIVE The derating factors for cable trays at Byron and Braidwood stations that have fire wrap installed were originally calculated by Calculation BYR96-082 / BRW-96-194, Revision 0 (Reference 1).

These calculations took heat intensity values from Sargent & Lundy Calculation ESI150-1, Revision 0 and used them to calculate the ampacity of cables in a cable trny installed in free air without any cable wrap. The Nuclear Regulatory Commission (NRC) expressed a concem about the consistency in the methodology used in Calculation ESl150-1 (Reference 3) and the methodology used to calculate the conductor temperature in the wrapped trays in Request for Additional information (RAl) Dockets STN 50-454, STN 50-455, STN 50-456, and STN 50-457.

The NRC requested that " base line" ampacities of cable trays installed in free air without cable wrap be calculated in a manner consistent with that used to calculated the conductor temperatures in the wrapped trays The purpose of this calculation is to develop derating factors based on consistent models for

" base line" and wrapped tray configurations. This is accomplished by developing " base line" (unwrapped tray in free air) ampacities for the standard cable tray configurations described in Calculation BYR96-082 / BRW-96-194, Revision 2 (Reference 1) in the manner requested by the /

NRC. The heat transfer equations used to calculate the surface temperature of the cable mass and the cable tray are identical to those used to calculate the surface temperature of the wrapped tray. The ampacity values calculated in this way will be compared to the original free air ampacity values used in Calculation BYR96-082 / BRW-96-194. Finally, the ampacity factors and derating factors for the standard fire wrap configurations will be recalculated using the newly calculated base line ampacity values.

l The derating factors developed in this calculation will be applied to individual routing points in a I subsequent calculation that determines ampacity factors for each individual routing point. The ampacity factors are, in turn, used as input to the SLICE cable monitoring system to evaluate the ampacity of the cables at each routing point.

Revision 2

l 1

I NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 6 of 59 BRW-98-0339-E

=

l 2; METHODOLOGY AND ACCEPTANCE CRITERIA This calculation determined the " base line" ampacity of cable trays corresponding to those used in the standard configurations of Reference 1. The " base line" ampacity is the ampacity of cables in a cable tray with no fire wrap that is installed in free air. The base line ampacity is used as a )

basis for calculated ampacity derating factors. The cable tray configuration used was taken from Reference 1. Reference 1 used cable trays filled with three conductor, #6 AWG,600 volt cables.

The calculation of the ampacity of the wrapped tray configurations assumed a fixed conductor I current of 27.5 amperes, corresponding to the maximum load current permitted by the Byron /

Braidwood design procedures for this type of cable. The depth of fill of the cables in the wrapped cable tray was then adjusted to reach the maximum rated conductor temperature with the standard load current flowing through the cables. Depending on the fire wrap cor. figuration, the allowable depth of fill ranged from 0.68 to 1.14 inches.

In order to calculate the ampacity and derating factors, the cable ampacity in an unwrapped cable tray must be determined for the depth of fill calculated in Reference 1 for each fire wrap configuration. In this calculation, the ampacity of the cables installed in a cable tray installed in open air was calculated for several different depths of fill. The ampacity at the desired depth of fill could then be determined by interpolation using the cubic spline interpolation functions of Mathcad@ (Reference 4). The ampacity and derating factors were then calculated using the interpolated base line ampacity values. l The base line ampacity calculations arc based on the method developed by Stolpe (Reference 5).

The principle difference is that some of the heat generated by the cables was assumed to be dissipated by the sides of the cable tray. This is consistent with the models for the fire wrapped cable trays where the heat dissipation off the side of the cable tray assembly was also considered. The fire wrapped cable tray model also took credit for the cable tray rails being able to dissipate heat. The same approach has been used in calculating the " base line" ampacities.

Taking credit for the entire cable tray rail resulted in slightly higher free air ampacity. The values of base line ampacity from this equation were only used to calculate ampacity factors and l derating factors. The definition of the ampacity factor is:

II' rapped _ Tray._ Ampacity Ampacity_ Factor = gg g, g l Free _ Air _ Ampacity Factor). A high value of free air ampacity reduces the ampacity factor and increases the derating factor, which is conservative.

The derating factors derived in this calculation are used by the SLICE cable management program. SLICE determines the free air ampacity of the cables based on Reference 3, which

, ignores heat dissipation from the sides of the cable tray. Because the ampacity factors are biased in the conservative direction, the analysis of individual routing points in the cable tray system is conservative.

Revision 2

N EP-12-02 l Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 7 of 59 BRW-98-0339-E The equations used in the base line ampacity equations are identical to the equations used in the evaluation of the suiface temperature of a wrapped cable tray and the evaluation of the temperature rise through the mass of cables installed in the tray (e. g. those shown in pages 110 to 122 of Reference 1). The number of cables in the cable tray was adjusted to give the desired depth of fill. The conductor load current was set and the maximum conductor temperature is then determined. The surface of the cable mass and the cable tray was treated as an isothermal surface. Heat was assumed to be dissipated by this surface by radiation and convection. The formulae for calculating the heat dissipated by radiation and convection were taken from Reference 2. The Mathcad@ SOLVE feature was used to adjust the surface temperature so that the heat dissipated from the surfaces by convection and radiation equals the heat generated by the cables. The temperature rise between the surface and the hottest conductors inside the cable mass was then calculated using the equation given in References 2 and 5. The conductor temperature was then the sum of the surface temperature and the temperature rise through the cable mass.

The conductor current of the cables in the tray was adjusted manually until the calculated conductor temperature is equal to the rated conductor temperature of 90*C The conductor current chosen at the end of the manual iterations was the base line ampacity.

For comparison, the free air ampacity was calculated from the heat intensity data given by Reference 3. Cubic spline interpolation was used to determine the cable mass heat intensity at the depth of fill used to calculate the base line ampacity. Reference 3 uses the " square cable" definition of depth of fill and the "round cable" definition of cable area to calculate the heat intensity. The free air ampacity was then calculated from this heat intensity, the conductor resistance, the number of conductors in each cable (three), and the cable diameter. This value of free air ampacity was then compared with the " base line" ampacity.

The next section of the calculation examines how the derating factors are affected by the depth of fill. Reference 1 calculated the ampacity for the configuration of two control risers with a power cable riser in the center wrapped in a common 3-hour Thermolag@ system for depths of fill ranging from just under 0.5 inch to almost 2.5 inches. This configuration requires the greatest derating of all of the standard configurations, and was selected as being representative for demonstrating how the derating factor is affected by depth of fill. The ampacity and derating factors were calculated from these values and the base line ampacity values. ,

The end result of this calculation is the base line ampacity value, ampacity factor, and derating factor for each fire wrap configuration in Reference 1. The ampacity factor for the fire wrap l configuration and the ampacity factor for the variation of the ampacity factor as a function of the depth of fill will be used to determine the ampacity of the cables in a wrapped cable tray from the ampacities of the cables in a tray installed in free air that are given by the SLICE cable data base program. These calculations are performed in other calculations. Therefore, there is no acceptance criterion in this calculation.

Revision 2

/

NEP-12-02 Revision 6 COMMONWEALTII EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 8 of 59 BRW-98-0339-E The numerical calculations were performed by the computer program Mathcad, Version 6 (Sargent & Lundy Program number 03.7.548-6.0 O). This program was executed from files controlled by the Sargent & Lundy Facilitiec and Operation Division in accordance with Sargent &

Lundy quality assurance policies. The copy of the program used resided on Server SNL1.

Revision 2 >

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. 8YR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 9 of 59 BRW-98-0339-E 4

3 ASSUMPTIONS / ENGINEERING JUDGMENT None i

s Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 10 of 59 BRW-98-0339-E 4: DESIGN INPUT

1. The diameter of a 3/C, #G AWG,600 V cable of the type used at Byron and Braidwood is 0.953"(Reference 1)
2. All calculations for wrapped cable trays are based on an ampacity of 27.5 amperes.

(Reference 1)

3. The thermal resistivity of a cable mass in a cable tray is 400 *C cm W' (Reference 5)
4. The ac resistance of a #6 AWG copper conductor is 0.0513 ohm /100 ft. This value of /,

resistance is used because it was the basis for the verification of the thermal model. ,

(Reference 1)

5. The rated conductor temperature is 90*C. (References 1 and 6)
6. The emissivity of a galvanized steel surface is 0.33. The emissivity of cable jackets is 0.95. (Reference 1)
7. 8 The value of the Stefan-Boltzmann constant is 5.669710-s W m K" (Reference 1)
8. The depths of fill for the various fire wrap configurations that result in a wrapped tray ampacity of 27.5 amperes are the following (Reference 1):

Construction Maximum Depth of F;il(in)'

Single cable tray with tray covers 1.06 and a 3-hour Thermolag system; Thermolag painted Single cable tray with tray covers 0.98 and a 3-hour Thermolag system; Thermolag not painted Single cable tray without tray 0.98 covers using a 3-hour Thermolag system built up from 1-hour boards

' The maximum depth of fill at which the ampacity of the fire-wrapped tray is equal to the ampacity given in the project ampacity table of 27.5 amperes.

Revision 2

i NEP-12-02 i

COMMONWEALTH EDISON COMPANY

)

CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 11 of 59 BRW-98-0339-E Single cable tray with tray covers - 0.83 using a 3-hour Thermolag system built up from 1-hour boards Single cable tray with tray covers 0.83 and a 3-hour Interam system  !

l Two cable trays, one power and 0.72 l l one control, with tray covers and wrapped side by side in a common l 3-hour Thermolag system Two power cable trays without tray 0.83 i covers and wrapped side by side in a common 3-hour Thermolag system i Two cable trays, one power and 0.72 l one control with tray covers and i

wrapped side by side in a common l 3-hour Interam system l Power and control tray stacked 0.76 L vertically with the power tray on top i in a common 3-hour Thermolag

( system l

L Single riser wrapped with a 3-hour 1.10 Thermolag system Single riser wrappad with a 3-hour 1.14 Interam system i

Two risers, one power and one 0.91 I control wrapped in a common 3-hour Thermolag system

{ Two power cable risers wrapped in 0.87 I a common 3-hour Thermolag i

system 4

k i

Revision 2

\

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 BRW-98-0339-E PAGE NO. 12 of 59 l Three risers (two control with a 0.68 l power riser in the middle)in a j common 3-hour Thermolag

system i I

i 13.

I The allowable heat intensity for solid bottom cable trays is a follows (Reference 3):

Depth of Heat Intensity Depth of Heat intensity  ;

Fill (in) (W ft in-2) Fill (in) (W ft in-2) 0.525 14.075 1.459 4.191 0.586 12.451 1.547 3.892 0.648 11.103 1.637 3.620 0.711 9.967 1.730 3.370 0.777 8.998 1.826 3.141 0.844 8.162 1.926 2.931 -

0.914 7.435 2.028 2.737 0.985 6.798 2.134 2.557 1.059 6.234 2.243 2.391 1.134 5.733 2.356 2.238 1.212 5.285 2.473 2.095 1.292 4.883 2.594 1.962 1.374 4.520 - -

l Revision 2

NEP-12-02 Revision 6 l

' COMMONWEALTH EDISON COMPANY 1

CALdDLATION NO. BYR98-109 / PROJECT NO. 09044-069109128-363 PAGE NO. 13 of 59 BRW-98-0339-E

14. Ampacity of 3/C, #6 AWG,600 V c ables wrapped in a configuration with two control cable risers with a power cable riser in the center wrapped in a common 3-hour Thermolag@

system (Reference 1):

Depth of Fill Ampacity (in) l l 0.492 33.054 0.984 23.178 1.514 18.528 2.006 15.970 f

2.498 14.201

15. To be consistent with the conditions used in Reference 1, the ambient temperature used in the calculation is 40*C. Also, the cable tray width is taken to bo 24 inches and the height of the cable tray rungs is 4 inches in order to match the conditions in Reference 1.

(Reference 1)

16. The spacing between cable tray rungs is taken to be 9 inches and the width of the cable tray rungs is taken to be 9 inches. This results in the calculations being performed for a solid bottom tray, which is the tray type used in Reference 1. (Reference 1) l Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / l PROJECT NO. 09044-069 / 09128 363 PAGE NO. 14 of 59 BRW-98-0339-E l 6; REFERENCES

1. Calculation BYR96-082 / BRW-96-194, Revision 2, "Ampacity Derating for Standard Fire Wrap Configurations" prepared by W. G. Bloethe and approved on June 3,1996.
2. Holman, J. P.1981. Heat Transfer. (5th Edition,4th printing,1983) New York and Tokyo: MgGraw Hill Kogakusha, Ltd.
3. Calculation ESl150-1, " Allowable Heat Intensity in Cable Trays", Revision 0, prepared by J. M. Pabich and approved on January 6,1986.
4. MathSoft, Inc.1995. Mathcad User's Guide, Mathcad 6.0, Mathcad PLUS 6.0.

Cambridge, Massachusetts: Mathsoft, Inc. This program is maintained as a validated and controlled application by the Facilities Operation Division (FOD), program number 03.7.548-6.0D. Validation documentation is maintained on file by FOD.

5. Stolpe, J.1971. Ampacities for Cables in Randomly Filled Trays. /EEE Transactions on l Power Apparatus and Systems. 90 (May / June): 962-974. l
6. Sargent & Lundy Specification F-2823 / L-2823, "600 Volt Power and Control Cable Byron Station- Units 1 and 2; Braidwood Station- Units 1 and 2 Commonweahh Edison Company", Revision CA, Amendment 2, dated September 18,1984.

f I

a Revision 2

NEP-12-02 Revision 6 COMMONWEALTII EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 15 of 59 BRW-98-0339-E 6.- CALCULATIONS Function for Calculating the Free Air Ampacity from Reference 3 IESl150.MCD

'0.525' '14.075' O.586 12.451 '

O.648  !!.103 Depths of Fill and Corresponding 0.711 9.967 ,

0.777 8.998 0.844 8.162 0.914 7.435 0.985 6.798 1.059 6.234 1.134 5.733 1.212 5.285 1.292 4.883 DOF,., tab := 1.374 in IU_ tab := 4.520 watt fdin-2 1.459 4.191 1.547 3.892 l 1.637 3.620 1.730 3.370 1.826 3.141 1.926 2.931 j 2.028 2.737 I 2.134 2.557 2.243 2.391 2.356 2.238 2.473 2.095 2.594 1.%2 PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:25 PM Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128 363 PAGE NO. 16 of 59 BRW-98-0339-E Aux _ tab := cspline(DOF_ tab,Hl_ tab) Auxiliary vector required for cubic spline interpolation The following variables are defined in the Mathcad file that incorporates this file:

DOF- The depth of fill at the routing point under consideration dcabie - The diameter of the cable for which the ampacity is to be calculated neab - The number of conductors in the cable reab - The resistance of the cable conductor at 90*C HIESIl 50( DOF) : = interp( Aux _ tab , DOF_. tab , HI_ tab, DOF) Use cubic spline intarpolation to find the heat intensity for the depth of fill specified in the external data file See Equation 9 of Reference 5 Ampacity ESIl50(DOF) :=

HIESIl50(DOF) dcable.x i

4ncab'Tcab i

i l

l 1

l PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:25 PM

] ReviSIOT12

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 17 of 59 BRW-98-0339-E '

Base Line Ampacity for a Nominal Depth of Fill of 0.49 in I

I FR0349 MCD Model for a Wrapped Cable Tray Cable Tray Dimensions w tray := 24 in Inside width of tray htray_ rail := 4.0 in Total height of tray rails (including rungs)

Trial Depth of F51 and Number of Cables (This information is used as a guide in manually iterating to adjust the depth of fill and the cable current. These values are not used in the calculation itself but are for reference only,)

DOFtrial := 0.492 in Target depth of fill dcable := 0.953 in Cable diameter

  • trayDOF trial

" trial dcable n trial = 13.001 I

Emissivity of the cable tray and the cable mass e Galvanized steel 8

cable _ top := 0.95 Cable jackets steel := 0.33 8

cable _ side 8 steel Emissivity of cable tray rail s

rung := 9.in Spacing between cable tray rungs w rung := 9 in Width of rungs (Solid bottom trzy)

Note: The values of the spacing betwec:i cable tray rungs and the width of the rungs shown resultin a solid botton tray.

PC5654 Server SNL1 Program # 03.7.548-6.0 0 8/24/98 2:27 PM E

w Revision 2

l NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 18 of 59 ERW 98-0339-E i

l i

i Cable Mass Thermal Resistivity I p mass := 400 K cm. watt'3 This is the standard value of cable mass thermal resistivily from the Stolpe paper l

CtoK := 273.16 K Conversion factor between 'C and K Test Conditions Ambient Temperature Tambient := 40.0 K + CloK T ambient = 313.16 K Test Current (This is the cable current used in the calculation.)

I := 89.974 amp Cable Data r cab := 0.051310 2 ohm ft' ' Cable is 3/C, #6 AWG,600V ncab := 3 Three conductor cable Physical Constants Stefan-Boltzman Constant a := 51497 10's watt m 2 g 4

Acceleration due to Gravity g := 9.8 m sec-2 Depth of Fill (This is the depth of fill that is actually used in the calculation.)

n tray := 13 Number of cables in tray to give the desired depth of fillin the calculation DOF := "I * *

  • tray DOF = 0.492 in PC5654 Server SNL1 Program # 03.7.548-6.0 0 8/24/98 2:27 PM Revision 2

l NEP-12-02 l Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 19 of 59 BRW-98-0339-E Take a weighted average of the emissivities at the bottom of the tray to account for the cable tray rungs (if any) g .=

  • rung'8 steel + (8 rung -
  • rungh8 cable _ top s

rung 8

cable _ bottom = 0.33 Heat Generated in Tray l Q tray "" tray'" cab'I 'fcab l

I l Q tray = 161.963 watt fr '

Temperature at the Outside of the Cable Tray l Heat transferred by radiation as a function of the cable tray surface and ambient l

temperatures.

d Q rad (T 3 ,T2 ):=(2 htray_ rail Ccable_ side + (Scable_ bottom + 8 cable _topf* 2 trayf a T g - T (Equation 8-43a of Reference 2)

Heat transferred by convection from the outside of the cable tray as a function of the cable tray surface and ambient temperatures and the dimensions of the surfaces. The convection formula is based on Table 7-2 of Reference 2 l PC5654 Server SNL1 Program # 03.7.5484.0 0 8/24/98 2:27 PM 0

Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 20 of 59 BRW-98-0339-E

.2 .1 !  !

4

, Q conv(T g ,T 2 ,h,w) ::1.42 wett K ' m

  • h -(T i- T2 ) 2. Sides

.2 .1 1 1 d

+ 1.32 watt K dm*.w-(T-T)4 i 2 Top  !

.2 *1 2

+0.61 watt K8 m 5.,5(T-T) i 2 Bottom Perform iterative solution of the temperature of the cable tray and cable mass surface.

Tguess := 325 K Intitial guess of the temperature at the outside of the fire wrap Given The heat dissipated by radiation and convection must equal the heat generated bythe cables Q tray"Q rad (Tguess,Tambient) + Q conv(T guess,Tambient.htray_ rail *

  • tray)

T out := find (Tguess)

Tout = 357.714 *K Tout- CtoK = 84.554 K 'C Temperature Rise through the Cable Mass ATmass := DOF2 Pman Equation 5 of Reference 6 (See also Equation

" tray DOF 8 2-23 of Reference 2)

AT mass = 5.446 K Conductor Temperature Tconductor := Tout + AT mass Tconductor = 363.16 *K Tconductor- CtoK = 90*K 'C i

l

! PC5654 Server SNL1 Program # 03.7.548-6.0 0 8/24/98 2:27 PM l

l Revision 2 l

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 I PROJECT NO. 09044-069 / 09128-363 PAGE NO. 21 of 59 BRW 98-0339-E i

Ampacity of Cables in Tray 90-K + CtoK - T ambient

  • ampacity -I' s Tconductor - Tambient I ampacity = 89.974 amp Heat intensity (Round Cables)

(90 K + CtoK- T ambient See page 8 of Reference 3. An adjustment factor has been (Tconductor - Tambient i ,4_

ah to mMW headnten@o gNe a condudor HI:= temperature of exactly 90*C, assuming that the temperature rise DOF w tray X in the system is a roughly linear function of the heat being dissipated (reasonable for small adjustments).

HI = 17.466 watt fr ' in-2  ;

l l

Cable Am'pacity Given by ESI-150 Include:C;\ CECO \FREEAIRUESil 50.MCD Ampeity ESI150(DOF) = 83.687 amp Calculate the difference between the " base line" an.p:: city and the ESI 150 empacity in per cent of the ' base line" ampacity.

Iampacity- AmpacityESil50(DOF)

I ampacity AAmpacity = 6.988 %

PC5654 Server SNL1 Program # 03.7.548-6.0 0 8/24/98 2:27 PM U

Revision 2 l

1 i

l NEP-12-02 '

COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 22 of 59 BRW-98-0339-E i

Base Line Ampacity for a Nominal Depth of Fill of 0.68 in i

.- l l

l l

FROR68.MCD l

Model for a Wrapped Cable Tray l

Cable Tray Dimensions l

w tray := 24-in inside width of tray htray_ rail := 4.0 in Total height of tray rails (including rungs)

Trial Depth of Fill and Number of Cables (This information is used as a guide in manually iterating to adjust the depth of fill and the cable current. These values are not used in the calculation itself but are for reference only)

DOF gag := 0.68 in Target depth of fill dcable := 0.953 in Cable diameter

  • trayDOFtrial n trial dcable " trial = 17.969 Emissivity of the cable tray and the cable mass 8

cable _ top := 0.95 Cable jackets c

steel := 0.33 Galvanized steel 8

cable _ side 8 steel Emissivity of cable tray rail s rung  := 9 in Spacing between cable tray rungs w rung .= 9-in Width of rungs (Solid bottom tray)

Note: The values of the spacing between cable tray rungs and the width of the rungs shown result in a solid botton tray.

PC5654 Server SNL1 Program # 03.7.548-8.0 0 8/24/98 2:29 PM Revision 2 i

l 1

NEP-12-02 Revision 6 l

l COMMONWEALTH EDISON COMPANY 1

CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 23 of 59 BRW-98-0339-E

\ -

l

. Cable Mass Thermal Resistivity p mass := 400 K cm watt This is the standard value of cable mass thermal resistivity l from the Stolpe paper CtoK := 273.16 K Conversion factor between *C and K Test Conditions Ambient Temperature Tambient := 40.0-K + CtoK Tambient = 313.16 K Test Current (This is the cable current used in the calculation.)

! := 74.634 amp Cable Data r cab := 0.0513 10-2 ohm fr ' Cable is 3/C, #6 AWG,600V n cab := 3 Three conductor cable Physical Constants Stefan-Boltzman Constant o := 5.6697 10-8 watt-2m g 4 Acceleration due to Gravity g := 9.8 m sec-2 Depth of Fill (This is the depth of fill that is actually used in the calculation.)

n tray := 18 Number of cables in tray to give the desired depth of fillin the calculation

'#"Y ""

  • DOF :=
  • tray DOF = 0.681 in PC5654 Server SNL1 Program # 03.7.548-6.0 0 8/24/98 2:29 PM Revision 2 -
c. . . - . ._ -- _. - .. . . . . _ _ . _-. ~ ~-

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY l

CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 24 of 59 BRW-98-0339-E

. Take a weighted c arage of the emissivities at the bottom of the tray to account for the cable tray rungs (if any)

W 8

. mng'8 steel + (8 rung -

  • rung)'8 cable _ top cable _ bottom ,

, rung 1

8 cable _ bottom = 0.33 Heat Generated in Tray 9 ray t  ;*" tray'" cab'I Tcab 3

Q tray = 154.307 watt fr Temperature at the Outside of the Cable Tray Heat transferred by ra:fiation as a function of the cable tray surface and ambient temperatures.

4 9 rad (T j ,T2 ) :=(2 htray_ rail'8 cable _ side + (8 cable _ bottom + 8 cable _topf" tray] o T 3-l (Equation 8-43a of Reference 2)

Heat transferred by convection from the outside of the cable tray as a function of the cable tray surface and ambient temperatures and the dimensions of the surfaces. The l convection formula is based on Table 7-2 of Reference 2 5 .11 2 d d d Q conv(T 3 ,T2 ,h,w) := 1.42 watt K m h (T j - T2)d 2. Sides 5

.1 1 1 d d

+ 1.32 watt K ' m w-(T g-T2 ) Top

.2 ..* 1 2 5

+0.61 watt K , 5.,5 (T g - T2 )'

Bottom PC5654 Server SNL1 Program # 03.7.548-6.0 0 8/24/98 2:29 PM 1

Revision 2 l

I

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 25 of 59 BRW-98-0339-E

)

Perform iterative solution of the temperature of the cable tray and cable mass surface.

T guess := 325 K Intitial guess of the temperature at the outside of the fire wrap Given The heat dissipated by radiation and convection must equal the heat generated bythe cables '

I Q tray *Q rad (Tguess,T ambient) + Q conv(Tguess,Tambient.htray_ rail.Wtray)

Tout := find (Tguess)

Tout = 355.976 K Tout- CtoK = 82.816 K *C Temperature Rise through the Cable Mass I'8Y 2 P mass AT **S8 := DOF Equation 5 of Reference 6 (See also Equation w tray.DOF 8 2-23 of Reference 2)

ATmass " 7184 *K l

Conductor Temperature T Eonductor :: Tout + AT mass Tconductor = 363.16 K Tconductor- CtoK = 90 K 'C I,

4 PC5654 Server SNL1 Program # 03.7.548-6.0 0 8/24/98 2:29 PM Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 26 of 59 BRW-98-0339-E Ampacity of Cables in Tray 90 K + CtoK - Tambient Iampacity *I' 3 Tconductor- Tambient Iampacity = 74.634 amp Heat Intensity (Round Cables)

~

See page 8 of Reference 3. An adjustment factor has been f 90 K + CtoK - T ambient added to modify the heat intensity to give a conductor 9 ray, t

temperature of 90*C, exactly assuming that the temperature rise HI := Tconductor - Tambient ini 4-the system is a roughly linear function of the heat being DOF w tray 8 dissipated (reasonable for small adjustments).

HI = 12.018 watt ff' in.2 Cable Ampacity Given by ESI-150 Include:C:\ CECO \FREEAIR\IESil 50.MCD Ampaci y ESIl50(DOF) = 69.686 amp Calculate the difference between the " base line" ampacity and the ESI 150 ampacity in per cent of the

I AAmpacity:= ampacity- Ampaci7ESI150(DOF)

I ampacity AAmpacity = 6.63 %

PC5654 Server SNL1 Program # 03.7.548-6.0 0 8/24/98 2:29 PM Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY  !

l CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 27 of 59 BRW-98-0339-E Base Line Ampacity for a Nominal Depth of Fill of 0.90 in l

l l

FROR90.MCD Model for a Wrapped Cable Tray Cable Tray Dimensions w tray := 24 in inside width of tray htray_ rail := 4 0 in Total height of tray rails (including rungs)

Trial Depth of Fill and Number of Cables (This information is used as a guide in manually iterating to adjust the depth of fill and the cable current. These values are not used in the calculation itself but are for reference only,)

DOFtrial := 0.90 in Target depth of fill dcable := 0.953 in Cable diameter

  • trayDOFtrial

" trial

  • 2 dcable " trial = 23.783 Emissivity of the cable tray and the cable mass Galvanized steel 8

cable _ top := 0.95 Cable jackets esteel := 0.33 8

cable _ side 8stee! Emissivity of cable tray rail s rung  := 9 in SPacing between cable tray rungs w rung := 9 in Width of rungs (Solid bottom tray)

Note: The values of the spacing between cable tray rungs and the width of the rungs shown resultin a solid botton tray.

PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:51 PM a

Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY l

l CALCULATION NO. BYR98109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 28 of 59 BRW-98-0339-E 1

l ~ Cah!e Mass Thermal Resistivity pmass := 400 K cm watt ' This is the standard value of cable mass thermal resistivity from the Stolpe paper CtoK := 273.16 K Conversion factor between *C and K Test Conditions Ambient Temperature Tambient := 40.0 K + CloK Tambient = 313.16 K Test Current (This is the cable current used in the calculation.)

I:=62.894 amp Cable Data r cab := 0.0513 10- 2 ohm -3 ftCable is 3/C, #6 AWG,600V ncab := 3 Three conductor cable l Physical Constants Stefan-Boltzman Constant o := 5.6697 10~ 8 watt-2m g 4 Acceleration due to Gravity g := 9.8 m sec-2 Depth of Fill (This is the depth of fill that is actually used in the calculation.)

l n gay = 24 Number of cables in tray to give the desired depth of fillin the calculation DOF := Y * * *

  • tray DOF =0.908 in PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:51 PM l

I Revision 2

N EP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 29 of 59 ,

BRW-98-0339-E j Take a weighted average of the emissivities at the bottom of the tray to account for the cable

- ~ tray rungs (if any)

  • rung'8 steel + (srung -
  • rung)'8 cable _ top i 8 cable bottom ;,

s rung 8

cable _ bottom = 0.33 Heat Generated in Tray 9 ray t  ;* " tray'" cab'I fcab l

Q uay = 146.106 wattf Temperature at the Outside of the Cable Tray Heat transferred by radiation as a function of the cable tray surface and ambient temperatures.  !

d Q rad (T g ,T2 ):=[2 htray_ rail'8 cable _ side * (8 cable _ bottom + Scable_ top)'* tray]+(T i -T 1 2

(Equation 8-43a of Reference 2)

Heat transferred by convection from the outside of the cable tray as a function of the cable tray surface and ambient temperatures and the dimensions of the surfaces. The i convection formula is based on Table 7-2 of Reference 2

.S .11 2 Q conv(T ,T 2,h,w) ;= 1.42 watt K ' m ' h*-(T i - T 2)'-2 .

g Sides

.2 .1 1 2

+ 1.32 watt K m ' w' (T ;- T2 )' Top

.! 81 f

+0.61 watt-K m 8 8 w'-(Tj-T)' 2 Bottom PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:51 PM Revision 2

1 I

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 30 of 59 BRW-98-0339-E i

.1 Perform iterative solution of the temperature of the cable tray and cable mass surface.

Tguess := 325 K Intitial guess of the temperature at the outside of the fire wrap Given The heat dissipated by radiation and convection must equal the heat generated bythe cables l

Q tray *Q rad (Tguess,Tambient) + Q conv(Tguess,Tambient.htray_ rail

  • tray) i l

Tout := find (Tguess) l Tout = 354.091 K Tout- CtoK = 80.931 K *C Temperature Rise through the Cable Mass tray ATmass := DOF2 Pmass Equation 5 of Reference 6 (See also Equation

" ray.D OF 8 2-23 of Reference 2) l AT mass = 9.07 K j

Conductor Tempersture Tconductor := Tout + AT mass Tconductor = 363.16 K Tconductor- CtoK = 90 K 'C l

l l

i PC5654 Scrver SNL1 Program #03.7.548-6.0 0 8/24/98 2:51 PM Revision 2

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

I l l

NEP-12-02 '

Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 31 of 59 BRW-98-0339-E Ampacity of Cables in Tray

\

90 K + CtoK - T ambient i

ampacity -

Tconductor - Tambient l 1ampacity = 62.894

  • amp l

Heat Intensity (Round Cables) i f 90 K + CtoK - T ambient See page 8 of Reference 3. An adjustment factor has been T added to modify the heat intensity to give a conductor HI:: i conductor - Tambient / 4 -

DOF w tray temperature of 90*C, exactly assuming that the temperature nse t 8

in the system is a roughly linear function of the heat being l dissipated (reasonable for small adjustments).

HI = 8.534 watt fr 8 in-2 Cable Ampacity Given by ESI-150 Include:C:\ CECO \FREEAIR\lESI! 50.MCD Ampacity ESI150(DOF) = 58.923 amp Calculate the difference between the ' base line* ampacity and the ESI 150 ampacity in per cent of the " base line" ampacity, i

I AAmpacity := ampacity- AmpacityESIl50(DOF)

I ampacity I AAmpacity = 6.313 %

1

[ PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:51 PM a

Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 32 of 59 BRW-98-0339-E Base Line Ampaci+y for a Nominal Depth of Fill of 1.14 in i FR1R14.MCD Model for a Wrapped Cable Tray Cable Tray Dimensions w tray := 24 in inside width of tray htray_ rail := 4.0 in Total height of tray rails (including rungs)

Trial Depth of Fill and Number of Cables (This information is used as a guide in manually iterating to adjust the depth of fill and the cable current. These values are not used in the ,

calculation itself but are for reference only,) ,

DOFtrial := 1.14 in Target depth of fill dcable .= 0.953 in Cable diameter

" tray DOFtrial n Mal t dcable 8 trial = 30.125 Emissivity of the cable tray and the cable mass c steel := 0.33 Galvanized steel 8

cab!c_ top := 0.95 Cablejackets c

cable _ side 8 steel Emissivity of cable tray rail s tung  := 9 in Spacing between cable tray rungs w rung := 9-in Width of rungs (Solid bottom tray)

Note: The values of the spacing between cable tray rungs and the width of the rungs shown

! result in a solid botton tray.

i PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:54 PM 4

Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 I BRW-98-0339-E PROJECT NO. 09044-069 / 09128-363 PAGE NO. 33 of 59

~ Cable Mass Thermal Resistivity pmass :=400 K cm watt-This is the standard value of cable mass thermal resistivity from the Stolpe paper CtoK := 273.16 K Conversion factor between 'C and K Test Conditions Ambient Temperature Tambient := 40.0 K + CtoK '

Tambient = 313.16 K Test Current (This is the cable current used in the calculation.)

1 := 53.717 amp Cable Data r cab :=0.051310 2. ohm-fr3 Cable is 3/C, #6 AWG,600V ncab := 3 Three conductor cable I

Physical Constants I

Stefan-Boltzman Constant '

o := 5.669710 watt m-2,g-4 Acceleration due to Gravity g := 9.8 m sec-2 Depth of Fill (This is the depth of fill that is actually used in the calculation.)

n tray := 31 Number of cables in tray to give the desired depth of fillin the calculation DOF:= tray dcaN l

  • tray DOF = 1.173 in i

PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:54 PM S l

- Revision 2 l

l

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

NEP-12-02 l Revision 6 i COMMONWEALTII EDISON COMPANY l CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 i

BRW-98-0339-E PAGE NO. 34 of 59 Take a weighted average of the emissivities at the bottom of the tray to account for the cable tray rungs (if any) 8

  • rung'8 steel + (srung -
  • mng)'8 cable top cable _ bottom , -

, rung c

cable _ bottom = 0.33 Heat Generated in Tray 9 ray t ;*" tray'Dcab'I 8 cab Q tray = 137.665 watt fr 8 Temperature at the Outside of the Cable Tray Heat transferred by radiation as a function of the cable tray surface and ambient temperatures.

j 2 d 9 rad (T ,T ) :=[2 htray_ rail'8 cable _ side + (8 cable _ bottom + ccable_ top)'* tra (Equation 843a of Reference 2)

Heat transferred by convection from the outside of the cable tray as a function of the cable tray surface and ambient temperatures and the dimensions of the surfaces. The convection formula is based on Table 7-2 of Reference 2 5 .11 5 d d Q conv(T3 ,T2,h,w) := 1.42 watt K m d.h -(T j - 2T )d2. Sides 5 ,2 1 5 d d d

+1.32 watt K m w-(Tj-T)* 2 Top

.2 .* !  !

8 5

+0.61 watt K m w'-(Tj-T) 2 Bottom PC5654 Server SNL1 Frogram #03.7.548-6.0 0 8/24/98 2:54 PM a

Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 BRW-98-0339-E PAGE NO. 35 of 59 Perform iterative solution of the temperature of the cable tray and cable mass surface.

Tguess := 325.K Intitial guess of the temperature at the outside of the fire wrap Given The heat dissipated by radiation and convection must equal the heat generated by th6 cables Qt ray *Qrad(Tguess Tambient) + Q conv(Tguess,Tambient htray_ rail

  • tray)

Tout := find (Tguess)

Tout =352.122 K Tout- CtoK = 78.962 *K 'O Temperature Rise through the Cable Mass tray 2 Pmass i ATmass := DOF l 8

Equation 5 of Reference 6 (See also Equation

  • tray DOF 2-23 of Reference 2)

AT mass = 11.038 K Conductor Temperature Tconductor := Tout + ATmass Tconductor = 363.16 *K Tconductor- CtoK = 90*K 'C J

PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:54 PM 5

Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 BRW-58-0339-E PAGE NO. 36 of 59 Ampacity of Cables in Tray 90 K + CtoK - T ambient Iampacity I' Tgy Tgg t I ampacity = 53.717, amp Heat intensity (Round Cables)

(90 K + CtoM - T ambient See page 8 of Reference 3. An adjustment factor has been HI := i Tconductor - Tambient / 4added to modify the heat intensity to give a conductor DOF w gay n temperature of 90'C, exactly assuming that the temperature rise in the system is a roughly linear function of the heat being dissipated (reasonable for small adjustments).

I HI = 6.226 watt K in.2 Cable Ampacity Given by ESI-150 include:C:\ CECO \FREEAIR\lESII SO.MCD Ampacity ESil50(DOF) = 50.489 amp l

Calculate the difference between the " base line" ampacity and the ESI 150 ampacity in per cent of the " base line' ampacity.

I 1 AAmpacity := ampacity- AmpacityESil50(DOF)

I ampacity AAmpacity =6.009 %

PCb654 Server SNL1 Program #03.7.5484.0 0 C

8/24/98 2:54 PM Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 /

BRW-98-0339-E PROJECT NO. 09044-069109128-363 PAGE NO. 37 of 59 i

Base Line Ampacity for a Nominal Depth of Fill of 1.50 in FR1R50.MCD Model for a Wrapped Cable Tray Cable Tray Dimensions w tray := 24 in inside width of tray h tray _ rail := 4 0 in Total height of tray rails (including rungs)

Trial Depth of Fill and Number of Cables (This information is used as a guide in manually iterating to adjust the depth of fill and the cable current. These values are e not used in th calculation itself but are for reference only,)

DOFtrial := 1.50-in Target depth of fill dcable .= 0.953 in Cable diameter

  • tray DOFtrial ntrial :

dc,3j, 2 " trial = 39.638 Emissivity of the cable tray and the cable mass 8

ssteel := 0.33 Galvanized steel cable _ top := 0.95 Cable jackets 8

cabic_ side : 8 steel i Emissivity of cable tray rail s

rung := 9 in Spacing between cable tray rungs w rung := 9 in Width of rungs (Solid bottom tray) 1 Note: The values of the spacing between cable tray rungs and the width of the rungs shown result in a solid botton tray.

PC5654 Server SNL1 Program #03.7.548-6.0 0 C

8/24/98 2:56 PM Revision 2

l NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 /

BRW-98-0339-E PROJECT NO. 09044-069 / 09128-363 PAGE NO. 38 of 59

- ' Cable Mass Thermal Resistivity p mass := 400 K cm watt-3 This is the standard value of cable mass thermal resistivity from the Stolpe paper CtoK := 273.16 K Conversion factor between *C and K Test Conditions Ambient Temperature Tambient := 40.0 K + CtoK Tambient =313.16 K Test Current (This is the cable current used in the calculation.)

I := 45.644 amp Cable Data r cab := 0.051310 2 ohm fd Cable is 3/C, #6 AWG,600V ncab := 3 Three conductor cable Physical Constants .

Stefan-Boltzman Constant o := 5.6697 10 d watt m.2g4 Acceleration due to Gravity I

g := 9.8 m sec-2 Depth of Fill (This is the depth of fill that is actually used in the calculation.)

n tray := 40 Number of cables in tray to give the desired depth of fillin the calculation DOF := "Y ""

  • troy DOF = 1.514 in l PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:56 PM Revision 2 (

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

l l

NEP-12-02 l

' Revision 6 l

COMMONWEA.LTH EDISON COMPANY l CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 39 of 59 BRW-98-0339-E Take a weighted average of the emissivities at the bottom of the tray to account for the cable tray rungs (if any)

,

  • rung'8 steel + (srung-* rung)'8 cable _ top s

rung 8

cable _ bottom = 0.33 Heat Generated in Tray Q tray mn tray'" cab 1 rcab Qg g= 128.253 wattE 3 Temperature at the Outside of the Cable Tray Heat transferred by radiation as a function of the cable tray surface and ambient temperatures.

O rad (T j ,T 2 )':[2 htray_ rail'8 cable _ side * (8 cable _ bottom + 8 cable _ top)'* tray] o-(T j'- T 2

(Equation 8-43a of Reference 2)

Heat transferred by convection from the outside of the cable tray as a function of the cable tray surface and ambient temperatures and the dimensions of the surfaces. The convection formula is based on Table 7-2 of Reference 2 5 .22 5 Q conv(T ;,T 2,h,w) := 1.42 watt K ' m # h'-(T3- T )'2 2 ... Sides 5 .22 5 d

+ 1.32 watt K d m ' w -(Ti - T )# 2 . Top

.2 ..* 1 2 5

+0.61 watt K ., 5.,5 (T j - T2 )' Bottom PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:56 PM m

Revision 2

NEP-12-02 l Revisit,a 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 BRW-98-0339-E PAGE NO. 40 of 59 I

l Perform iterative solution of the temperature of the cable tray and caN9 mass surface.

j Tguess := 325 K Intitial guess of the temperature at the outside of tii .:.1 wrap Given The heat dissipated by radiation and convection must equal the heat generated bythe cables '

I 9 tray *Qrad(Tguess,Tambient) + 9 conv(Tguess,Tambient,htray_ rail." tray) 1 i

Tout := fmd(Tguess)

Tout = 349.891 K Tout- CtoK = 76.731 K 'C Temperature Rise through the Cable Mass ATmass := DOF2 Pmass Equation 5 of Reference 6 (See also Equation

  • tray DOF 8 2-23 of Reference 2)

ATmass = 13.269 K Conductor Temperature  !

Tconductor := Tout + AT mass Tconductor =363.16 K 'C Tconductor- CtoK = 90 K PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:56 PM Revision 2

l NEP-12-02 Revision 6 )

COMMONWEALTH EDISON COMPANY  !

l l CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 l BRW 98-0339-E PAGE NO. 41 of 59 l l

Ampacity of Cables in Tr'ay

~ .

,_ !90 K + CteK - T ambient i

' ampacity -I' T

4 conductor- Tambient I ampacity = 45.644

  • amp Heatintensity(Round Cab'es) l90-K + CtoK - T amb ent See page 8 of Reference 3. An adjustment factor has been T added to modify the heat intensity to give a conductor Hl:= i conductor - Tambie /,4  ;

DOF w tray 5 temperature of 90*C, exactly assuming that the temperature rise in the system is a roughly linear function of the heat being dissipated (reasonable for small adjustments).

I Til = 4.495 wattX in-2  ;

Cable Ampacity Given by ESI-150 Include:CACECO\FREEAIR\lESIl 50.MCD 1

i AmpacityESI150(DOF) =43.062 amp '

1 l

1 Calculate the difference between the " base line" ampacity and the ESI 150 ampacity in per cent of the " base line" ampacity. l I

AAmpacity := ampacity-. AmpacityESil50(DOF)

I ampacity i

AAmpacity = 5.656 %

l l PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:56 PM i'

l Revision 2

NEP-12-02 Revision 6 '

COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 /

BRW 98-0339-E PROJECT NO. 09044-069109128-363 PAGE NO. 42 of 59 Base Line Ampacity for a Nominal Depth of Fill of 2.00 in FR2R00.MCD Model for a Wrapped Cable Tray Cable Tray Dimensions w tray := 24 in ' Inside width of tray h tray _ rail := 4.0 in Total height of tray rails (including rungs)

Trial Depth of Fill and Number of Cables (This information is used as a guide in manually iterating to adjust the depth of fill and the cable current. These values are not used in the calculation itself but are for reference only,)

DOFtrial := 2.00 in Target depth of fill dcable := 0.953 in Cable diameter

  • tray DOFtrial nuial d cable n trial = 52.851 EmissMty of the cable tray and the cable mass 8

csteel := 0.33 Galvanized steel cable _ top := 0.95 Cable jackets '

8 cable _ side 8 steel Emissivity of cable tray rail s

rung := 9 in Spacing between cab!e tray rungs w rung := 9 in Width of rungs (Solid bottom tray)

Note: The values of the spacing between cable tray rungs and the width of the rungs shown i resultin a solid botton tray. i I

i PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:58 PM l

i Revision 2 l

._ - ___ _ _ _ ___ ~- -__ . _ . _ _ _ _ _ -

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 /

BRW 98-0339-E PROJECT NO. 09044-069 / 09128-363 PAGE NO. 43 of 59

~ Cable Mass Thermal Resistivity pmass := 400 K cm watt-3 This is the standard value of cable mass thermal resistivity from the Stolpe paper CtoK := 273.16 K Conversion factor between *C and K Test Conditions Ambient Temperature Tambient := 40.0 K + CtoK T ambient = 313.16 K Test Current (This is the cable current used in the calculation.)

I := 37.852. amp Cable Data r cab := 0.0513 10-2 ohm3 E Cable is 3/C, #6 AWG,600V ncab := 3 Three conductor cable Physical Constants Stefan-Boltzman Constant o := 5.669710'* watt m.2g 4 Acceleration due to Gravity g := 9.8-m sec-2 Depth of Fill (This is the depth of fill that is actually used in the calculation.)

n tray := 53 Number of cables in tray to give the desired depth of fillin the calculation DOF := "Y " " *

  • tray DOF = 2.006 *in PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:58 PM Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 /

BRW-98-0339-E PROJECT NO. 09044-069 / 09128-363 PAGE NO. 44 of 59 ,

Take a weighted average of the emissivities at the bottom of the tray to account for the cable tray rungs (if any) l g .,

  • rung'8 steel + (srung -
  • rung)'8 cable _ top s

tung 8

cable _ bottom = 0.33 Heat Generated in Tray l

9 ray t *" tray'" cab 1 r cab Q tray = 116.867 watt it '

Temperature at the Outside of the Cable Tray Heat transferred by radiation as a function of the cable tray surface and ambient temperatures.

j ,T Q rad (T cable _topf* tray o Tj t T 2 2 ):=[2 htray_ rail 8 cable _ side + (8 cable _ bottom t8 -

(Equation 8-43a of Reference 2)

Heat transferred by convection from the outside of the cable tray as a function of the cable tray surface and amt9nt temperatures and the dimensions of the surfaces. The convection formula is basec on Table 7-2 of Reference 2

.2 .1 !  !

Q conv(Tj ,T 2.h,w) := 1.42 watt K ' m ' h'-(Tj - T2 )' 2. Sides 5

.1 1 1

+ 1.32 wat? K ' m 'j w'-(T 2 - TTop)*

.f 82  !

+0.61 watt K ' m ' w'-(T j - T2 )' Bottom PC5654 Server SNL1 Program #03.7.548-6.0 0 4

8/24/98 2:58 PM 4

Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 I O9128-363 BRW-98-0339-E PAGE NO. 45 of 59 Perform iterative solution of the temperature of the cable tray and cable mass surface.

Tguess ::325 K Intitial guess of the temperature at the outside of the fire wrap Given The heat dissipated by radiation and convection must equal the heat generated by the cables 9 tray *Qrad(Tguess,Tambient) + Q conv(Tguess,Tambient.htray_ rail >

  • tray)

Tout := find (Tguess)

Tout = 347.14 *K Tout-. CtoK = 73.98 K 'C I

Temperature Rise through the Cable Mass 9 ray t 2 Pmass ATmass .: DOF Equation 5 of Reference 6 (See also Equation W 8 tray DOF  !

2 23 of Reference 2)

AT mass = 16.021 K Conductor Temperature DOF = 2.006 *in Tconductor :: Tout + AT mass '

Tconductor =363.161 K Tconductor- CtoK = 90.001 K 'C PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:58 PM Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98109 / PROJECT NO. 09044-069 I 09128-303 BRW-98-0339 E PAGE NO. 46 of 59 Ampacity of Cables in Tray

!90 K + CtoK - Tambient ampacity ~ '

Tconductor - Tambient I ampacity = 37.852 amp Heat Intensity (Round Cables)

(90 K + CloK - T ambient i See page 8 of Reference 3. An adjustment factor has been Q tray- added to modify the heat intensity to give a conductor p T

yg , i conductor - Tambient ) 4 ._ temperature of 90*C, exactly assuming that the temperature rise DOF w a in the system is a roughly linear function of the heat being tray dissipated (reasonable for small adjustments).

10 = 3.091 wattX ' in.2 P

Cable Ampacity Given by ESI-150

\

include.C:\ CECO \FREEAIR\IESil 50 MCD l

Ampacity ESil50(DOF) = 35,882 amp l

Calculate the difference between the ' base line" ampacity and the ESI 150 ampacity in per cent of the ' base line" ampacity.

AAmpacity := 8mPacity- AmpacityESIl50(DOF) l.

I ampacity i

AAmpacity = 5.205 %

PC5654 Server SNL1 Program #03.7.548-6.0 0 8/24/98 2:58 PM Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 BRW-98-0339-E PAGE NO. 47 of 59 Base Line Ampacity for a Nominal Depth of Fill of 2.50 in FR2R498.MCD Model for a Wrapped Cable Tray Cable Tray Dimensions w tray := 24 in Inside width of tray h tray _raij := 4.0 in Total height of tray rails (including rungs)

Trial Depth of Fill and Number of Cables (This information is used as a guide in manually iterating to adjust the depth of fill and the cable current. These values are not used in the calculation itself but are for reference only,)

)

DOFtrial := 2.498 in Target depth of fill dcable := 0.953 in Cable diameter

  • tray DOFg.id Dtrial ' 2 i dcable " trial = 66.011 I Emissivity of the cable tray and the cable mass esteel := 0.33 Galvanized steel 8

cable _ top := 0.95 Cable jackets 8 cable side : Esteel Emissivity of cable tray rail s rung  :: 9 in Spacing between cable tray rungs w rung := 9 in Width of rungs (Solid bottom tray)

Note: The values of the spacing between cable tray rungs and the width of the rungs shown result in a solid botton tray.

PC5654 Server SNL1 Program #0.7.548-6.0 0 8/24/98 3:01 PM Revision 2

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

NEP-12-02 Revision 6 COMMONWEALTll EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 BRW-98-0339-E PAGE NO. 48 of 59

~ Cable Mass Thermal Resistivity Pmass :=400 K cm watt This is the standard value of cable mass thermal resistivity from the Stolpe paper CtoK := 273.16 K Conversion factor between *C and K Test Conditions Ambient Temperature Tambient := 40.0 K + CtoK Tambient = 313.16 K Test Current (This is the cable current used in the calculation.)

I := 32.524 amp Cable Data r

cab := 0.051310-2. ohm fd Cable is 3/C, #6 AWG,600V neab := 3 Three conductor cable Physical Constants O

Stefan-Boltzman Constant o := 5.6697 10'8 watt-m.2,ga Acceleration due to Gravity g := 9.8 m.sec.2 Depth of Fill (This is the depth of fill that is actually used in the calculation.)

n tray = 66 Number of cables in tray to give the desired depth of fillin the calculation I

tray dcable DOF :=

  • tray

., DOF = 2.498 in PC5654 Server SNL1 Program #0.7.548-6.0 0 8/24/98 3:01 PM l

Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 /

BRW-98-0339-E PROJECT NO. 09044-069 I 09128-363 PAGE NO. 49 of 59 Teke tray a (ifweighted rungs any) average of the emissivities at the bottom of the tray to account for E

cable _ bottom ,

  • rung'8 steel + (8mng -
  • rung)'8 cable _ top

,mng c

cable _ bottom = 0.33 Heat Generatedin Tray Q tray " tray'" cab'l 'f cab Q tray = 107.446 watt ft-I Temperature at the Outside of the Cable Tray Heat transferred temperatures. by radiation as a function of the cable tray surface and ambient Q rad (T2 ,T ) :=[2 htray_ rail'8 cable _ side + (8 cable 3

j _2 bottom

  • 8 (Equation 8-43a of Reference 2)

Heat transferred by convection from the outside of the cable tray as a function of the cable tray surface and ambient temperatures and the dimensions of the surfaces. The convection formula is based on Table 7-2 of Reference 2

.2 .11 5 d

Q conv(T T ,h,w) := 1.42 watt K m ' 3h*-(T 3 2 2 - T )' Siks 2.

.2 .1 1 1

+ 1.32 watt-K ' m ' w'-(T 3 2 - TTop)

.! 82  !

8 8

+0.61 watt-K m w'-(T-T)'

i 2 Bottom PC5654 Server SNL1 Program #0.7.548-6.0 0

. 8/24/98 3:01 PM Revision 2

i I

NEP-12-02 Revision 6 l COMMONWEALTH EDISON COMPANY t

CALCULATION NO. BYR98-109 / l BRW-98-0339-E PROJECT NO. 09044-069 / 09128-363 PAGE NO. 50 of 59 (

I I

Perform iterative solution of the temperature of the cable tray and cable mass surfac i

{

Tguess := 325 K t Intitial guess of the temocrature at the outside of the fire wrap Given

, The heat dissipated by radiation and convection must equal the heat generated by the cables t

9 ray *Q rad (Tguess,Tambient)+ Q conv(Tguess,Tambient.htray,_ tV vay) rail a i

Tout .: find (Tguess)

Tout =344.817 K Tout- CtoK = 71.657*K *C Temperature Rise through the Cable Mass

" 2P ATmass := cDOF _ mass

"' tray DOF 8 Equation 5 of Reference 6 (See also Equation 2-23 of Reference 2) l ATmass " 18 342 *K Conductor Temperature Tconductor .= Tout + AT DOF = 2.498 *in mass Tconductor = 363.159 K Tconductor- CtoK = 89.999 K 'C I

i PC5654 Server SNL1 Program #0.7.548-6.0 0 a

8/24/98 3:01 PM t

_ Revision 2

\

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 /

BRW-98-0339-E PROJECT NO. 09044-069 / 09128-363 PAGE NO. 51 of 59 Ampacity of Cables in Tray I ampacity ;* I' f90.K + CtoK ambient

-T T

i conductor - Tambient I ampacity = 32.524 amp Heat intensity (Round Cables)

(90-K + CtoK - Tambier.t ) See page 8 of Reference 3. An adjustment factor has been l Q tray-  ;

T added to modify the heat intensity to give a conductor g, t conductor - Tambient ) 4 i temperature of 90*C, exactly assuming that the temperature rise DOF w tray ,

n the system is a roughly linear function of the heat being dissipated (reasonable for small adjustments).

H1 = 2.282 watt K in-2 l Cable Ampacity Given by ESI-150 include:C:\ CECO \FREEAIR\IESII SO.MCD AmpaciyESIIS0(DOF) =30.95 amp i

Calculate the difference between the " base line" ampacity and the ESl 150 ampacity in per cent of the

I AAmpacity:= ampacity- AmpacityESil50(DOF) 1 ampacity AAmpacity = 4.839 %

PC5654 Server SNL1 Program #0.7.548-6.0 0 8/24/98 3:01 PM Revision 2

l NEP-12-02 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / '

BRW-98-0339-E PROJECT NO. 09044-069 / 09128-363 PAGE NO. 52 of 59 Ampacity and Derating Factors Based on the Base Line Ampacities

. DERATE.MCD Depths of Fill and Corresponding Free Air Ampacities n := 0,1. 6

'0.492' ~89.974' I

0.681 74.634 0.908 62.894 DOF_ tab := 1.173 in I_ tab := 53.717 amp 1.514 45.644 IM i i i e i 2.006 37.852

,2.498, 32.524 '

gc,b, Aux _ tab := cspline(DOF_ tab,I_ tab) # ~

~

_.mp ,

l Free _ Air (DOF) : = interp( Aux _ tab , DOF_ tab, I_ tab , DOF) l I i Ampacity of wrapped trays in Calculation BYR96-082 determined by 8 o o.5 i f

iteration 1.5 1 2.s 3 DOF, tab, Irated := 27.5 amp "

Depth of fill of 1.14 inches (The values of depth of fill shown in this section DOF := 1.14 in c rresp nd to the maximum allowable depths IFree_ Air (DOF) = 54.687 amp of fill for the various configurations as determined n Calculation SYR96-082)

Ampacity_ Factor := Irated Ampacity_ Factor = 0.503 IFree_ Air (DOF)

Derating_ Factor := 1 - Ampacity_ Factor Derating_ Factor = 0.497 Depth of fill of 1.10 inches DOF := 1.10 in 1 Free _ Air (DOF) = 55.919

  • amp Ampacity_ Factor := ratd Ampacity_ Factor = 0.492 IFree_ Air (DOF)

Derating_ Factor := 1 - Ampacity_ Factor Derating_ Factor = 0.508 PC5654 Server SNL1 Program # 03.7.548-6.0 0 8/24/98 3:04 PM b

Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 BRW-98-0339-E PAGE NO. 53 of 59 Depth of fill of 1.06 inches DOF := 1.06 in IFree_ Air (DOF) = 57.22 amp Ampacity_ Factor :=

Ampacity_ Factor = 0.481 1 Free _ Air (DOF)

Derating_ Factor := 1 - Ampacity_ Factor Derating_ Factor = 0.519 Depth of fill of 0.98 inches DOF := 0.98 in IFree_ Air (DOF) = 60.052 amp I rated Ampacity_Fector := Ampacity_ Factor = 0.458 IFree_ Air (DOF)

Derating_ Factor := 1 - Ampacity_ Factor Derating_ Factor = 0.542 Depth of fill of 0.91 inches DOF := 0.91 in IFree_ Air (DOF) = 62.811

  • amp Ampacity_ Factor :=

Irated Ampacity_ Factor = 0.438 IFree_ Air (DOF)

Derating_ Factor := 1 - Ampacity_ Factor Derating_ Factor = 0.562 Depth of fill of 0.87 inches DOF := 0.87 in IFree_ Air (DOF) = 64.522 amp Ampacity_ Factor :=

Ampacity_ Factor = 0.426 IFree_ Air (DOF)

Derating_ Factor := 1 - Ampacity_ Factor Derating_ Factor = 0.574 PCS654 Server SNL1 Program # 03.7.548-6.0 0 8/24/98 3:04 PM a

Revision 2 i

NEP-12-02 Revision 6 COMMONWEALTII EDISON COMPANY CALCULATION NO. BYR98-109 /

BRW-98-0339-E PROJECT NO. 09044-069109128-363 PAGE NO. 54 of 59 Depth of fill of 0.83 inches DOF := 0.83 in i Free _ Air (DOF) = 66.352 amp Ampacity_ Factor := ratd Ampacity_ Factor =0.414 I

Free _ Air (DOF)

Derating_ Factor := 1 - Ampacity_ Factor Derating_ Factor = 0.586 Depth of fill of 0.76 inches DOF := 0.76-in 1

Free _ Air (DOF) = 69.918 amp Ampacity_ Factor := "*

Ampacity_ Factor = 0.393 iFree_ Air (DOF)

Derating_ Factor := 1 - Ampacity_ Factor Derating_ Factor = 0.607 Depth of fill of 0.72 inches DOF := 0.72 in I Free _ Air (DOF) = 72.203

  • amp

'"I Ampacity_ Factor -

Ampacity_ Factor = 0.381 1 Free _ Air (DOF)

Derating_ Factor := 1 - Ampacity_ Factor Derating_ Factor = 0.619 Depth of fill of 0.68 inches DOF := 0.68 in I Free _ Air (DOF) = 74.699 amp Ampacity_ Factor := ratM Ampacity_ Factor = 0.368 I

Free _ Air (DOF)

Derating_ Factor := 1 - Ampacity_ Factor Derating_ Factor = 0.632 PC5654 Server SNL1 Program # 03.7.5484.0 0 8/24/98 3:04 PM Revision 2

l NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98109 /

BRW-98-0339-E PROJECT NO. 09044-069 / 09128-363 PAGE NO. 55 of 59 ,

Variation of Ampacity and Derating Factors as a Function of Depth of Fill i i:=0,l.4

'o.492' '33.054' Ampacity as a function of depth of fill for three risers 0.984 23.178 (two control risers with a power riser in the middle)

DOF tray := 1.514 in in a common 3-hour Thermolag@ system I .wrapped : 18.528 amp 2.006 15.97 l

,2.498 14.201,

' 89.974 59.902 I Base line ampacity Base _Line; IFree_ Air (DOFtray) I Base _Line - 45.644 . amp 37.852

, 32.524 I wrapped F i F

ampacity, yBase Lm, e; derating'. := 1 - Fampacity'.

~ 0.492 ' ' O.367 ' ' O.633 '

O.984 0.387 0.613 DOF tray = 1.514 .in F ampacity = 0.406 F derating = 0.594 2.006 0.422 0.578

, 2.498 , , 0.437

! 0.563 ,

l PC5654 Server SNL1 Program # 03.7.548-6.0 0 8/24/98 3:04 PM c

Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. SYR98-109 /

BRW-98-0339-E PROJECT NO. 09044-069 / 09128 363 PAGE NO. 56 of 59 100 80 1

Base _Linci 60

_ amp I wrapped;

..ame a -

20

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

0 0 0.5 1 1.5 2 2.5 MF wy; in 0.7 0.65 0.6

,,~~'

0.55 F ampacity; 0.5 F derating; ,

l O.45

/

0.4 /

y'

/

0.35 0.3 0 0.5 1.5 1 2 2.5 NF tray; in l

PC5654 Server SNL1 Program # 03.7.548-6.0 0 8/24/98 3:04 PM i.

I l

! Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 I I PROJECT NO. 09044-069 / 09128-363 PAGE NO. 57 of 59 l BRW 98-0339-E '

4 7 I

SUMMARY

AND CONCLUSIONS i

The ampacity and derating factors for the standard fire wrap configurations based on the bas line ampacity values are the following:

Construction Maximum Maximum Ampacity Derating t

Depth of Design Factor Factor Fill (in)2 Index (per unit) (per j (2.0" unit),

base) i Single cable tray with tray covers 1.06 0.53 0.481 0.519 and a 3-hour Thermolag system, j Thermolag painted 1

Single cable tray with tray covers 0.98 0.49 i

0.458 0.542 and a 3-hour Thermolag system; Thermolag not painted Single cable tray without tray 0.98 0.49 0.458 0.542 covers using a 3-hour Thermolag system built up from 1-hour boards 1

Single cable tray with tray covers 0.83 0.42 0.414 0.586 using a 3-hour Thermolag system )

built up from 1-hour boards Single cable tray with tray covers 0.83 0.42 0.414 0.586 and a 3-hour interam system Two cable trays, one power and 0.72 0.36 0.381 0.619 one control, with tray covers and wrapped side by side in a common 3-hour Thermolag system Two power cable trays without tray i' 0.83 0.42 0.414 0.586 covers and wrapped side by side in a common 3-hour Thermolag The maximum omperes depth of fill at which the ampacity of the fire-wrapped tray is equal to the ampacity given in the projectj .

' At the depth of fill given in Column 2 l

Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 /

BRW-98-0339-E PROJECT NO. 09044-069 / 09128-363 PAGE NO. 58 of 59 Construction Maximum Maximutn Ampacity Derating Depth of Design Factor Factor Fill (in)* Index (per unit) (per (2.0" unit)*

base) j system Two cable trays, one power and 0.72 0.36 0.381 0.619 one control with tray covers and wrapped side by side in a common )

3-hour interam system -)

Power and control tray stacked 0.76 0.38 0.393 0.607 vertically with the power tray on top in a common 3-hour Thermolag system {

Single riser wrapped with a 3-hour 1.10 0.55 0.492 0.508 Thermolag system Single riser wrapped with a 3-hour 1.14 0.57 0.503 0.497 Interam system Two risers, one power and one 0.91 0.45 0.438 0.562 contiof wrapped in a common 3-hour Thermolag system Two power cable risers wrapped in 0.87 0.43 0.426 0.574  :

a common 3-hour Thermolag system Three risers (two control with a 0.68 0.34 0.368 0.632 power riser in the middle)in a common 3-hour Thermolag system The base line ampacity values are higher than the free air ampacities calculated based on Reference 3:

Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY l CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069 / 09128-363 PAGE NO. 59 of 59  !

BRW-98-0339-E F50R.,  ;

Depth of Fill . Per Cent Difference between (in) Base Line Ampacity and the

~

{'

Ampacity From Reference 3*

O.492 6.99 j 0.681 6.63 i

0.908 6.31 1

1.17 6.01 1.51 5.66 1 2.01 5.21 2.50 4.84

  • The percentages are calculated using the base line ampacities determined in this calculation as the basis.

Variation of the ampacity and derating factors for three risers (two control with a power cable riser in the middle) in a common 3-hour Thermolag@ system as a function of depth of fill:

Depth of Fill (in.) Ampacity Factor Derating Factor 0.492 0.367 0.633 0.984 0.387 0.613 l

1.514 0.406 0.594 2.006 0.422 0.578 2.498 0.437 0.563 l

l 1

1

. 1 Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069/

BRW-98-0339-E PAGE NO. A1 of A3 09128-363 ATTACHMENT A- Data Files Used in this Calculation

  • Attachment A Page A1 of A3 Revision 2

i NEP-12-02

Revision 6 ,

! COMMONWEALTH EDISON COMPANY 1 CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069/  !

BRW-98-0339-E PAGE NO. A2 of A3 i 09128-363 l i baseline doc 3,570,688 08 25 98 4:09p Text of the calcula-t tion in Microsoft Word 6.0 format cate-cb doc 33,280 04-07 98 3:26p B1ank calcutation form in Microsoft I Word 6.0 format (Not a part of the calculation) derate med 14,080 08 24 98 2:07p calculation of the anpacity and derating I factors in Mathcad 6.0 format .

frDr49 med ],

17,638 08-24 98 2:07p Calculation of the tese line ampacity .

j for a nominal depth '

of fitt of 0.49" in

,1 Mathcad 6.0 format '

fror68 med 17,633 08 24-98 2:10p Calculation of the i base line anpacity for a nominal depth of fitt of 0.68" in Mathcad 6.0 format fror90 med 17,632 08 24 98 2:08p Calculation of the base line appacity l

for a nominal depth of fill of 0.90" in Mathcad 6.0 ** N t frir00 med 17,996 08 24 98 2:09p Calculation of the base line anpacity for a nominal depth of fill of 1.00" in Mathcad 6.0 format (Not a part of the calculation) frir14 med 17,632 08 24 98 2:09p Calculation of the l

base line anpacity for a nominal depth

! of fi!L of 1.14" in Mathcad 6.0 format i

. Attachment A  !

Page A2 of A3 Revision 2

l i

NEP-12-02 Revision 6  !

COMMONWEALTH EDISON COMPANY CALCULATIOP NO. BYR98-109 I PROJECT NO. 09044-069/ PAGE NO. A3 of A3 BRW-98 0339-E 09128-363  ;

R$4  ;

frir50 med 17,632 08-24 98 2:10p calculation of the base line ampacity

' for a nominal depth I of fill of 1.50" in Mathcad 6.0 format fr2r00 med 17,632 08 24-98 2:10p calculation of the l

base tine ampacity i for a nominal depth  !

of fill of 2.00" in i

Mathcad 6.0 format fr2r498 med 17,634 08 24-98 2:11p calculation of the '

base line anpacity ,

for a nominal depth l i

of fill of 2.50" in Mathcad 6.0 format les1150 med 5,077 08-24-98 2:11p Mathcad 6.0 file f '

containing data and functions to cal-culate the free air i ampacity based on Reference 3 f2823 2 tif 225,926 04-30-98 1:40p Tagged image file of 1

an extract from '

Reference 6 of the calculation I read me 2,360 08 25-98 4:25p This file in ASCl!

format.

l l

I l

o Attachment A Page A3 of A3 Revision 2

NEP-12-02 Revision 6 COMMONWEALTH EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069/

BRW-98-0339-E PAGE NO. B1 of B2 09128-363 Attachment B- Extract from Reference 6 l

l l

l 1

I I

- Attachment B Page B1 of B2 Revision 2

NEP-12-02 Revision 6 COMMONWEALTII EDISON COMPANY CALCULATION NO. BYR98-109 / PROJECT NO. 09044-069/

BRW-98-0339-E 09128-363 PAGE NO. 82 of B2 FJ.MfL I.5: e s% 2.

j 55*;!! -

"A

$E s sgl .a g  !--

c5I :!=  ; as4:: I

.] a3  ::

!!1 e i

l35 j  !

8 lggnaa:.

= sa i

i

(

e  :

t

jj g i s a:E::  ! . - -

1 i .

A i -jgg$ = as!a: I

=

I _..

8 i l g-1 1 :jg i s

I e afi=* 5 Ji p- -

i i  : as E=s a 1-lli .:

~<=.

!is s. .

. !e:. 5 E3 =

j$s f j= j  !!s j j j I

. < 4 c '

jt,v f j. 1 g, 1 . . :, r : I I f, j I

- . . . i i 5 -3 tsi

-gu e ! lil,11 ..!s. -

, s -

e 2 5.

i:  :: ,2, ig

=

j fl!!,11 s s.: I! Il !!! ! I!

nas as sa av as aan j 3i - -

~~' .

'3 m

$ !3 kk~j33il; i 'k i' f- 5. I {

31 A i -  !!! 1: 4ill..r!E -

2 1:

I)j 8

! I

i l )- ij i ' 8 i j I' E .

!I I: i

3. 3'3 1]Il il !}!!* i l I /
  • ji m M si I l3-- :. j

' 8 i

2  :- -

533 I I rj lh j . .81 33i.!j i f !j !:i j~r{:

l: , i j~r l j 3 ::

.'ji sj 3' 31*J.3 J J. J I;:!

. - ti! .

in= li111111n.;id!lu!uluj t

-r2

.lii d.Il: .

ss asss . ..,. ss ...s.,== i<sii i<=s,.= ,

ssss ss s s

. Attachment B Page B2 of _ B2 Revision 2

- _ _ _ _ _ _ _

Retrieved from "https://kanterella.com/w/index.php?title=ML20151W180&oldid=2962764"