Text

Excerpt from Ampacity Evaluation for Open Air Cable Trays W/Percent Fill Greater than 30% of Useable Cross Sectional Area
	ML18067A635
Person / Time
Site:	Palisades
Issue date:	07/09/1997
From:	; CMS ENERGY CORP.
To:	;
Shared Package
ML18067A634	List: ML18067A633; ML18067A635; ML18067A636; ML18067A637; ML18067A638;
References
	EA-ELEC-AMP-032, EA-ELEC-AMP-032-R01, EA-ELEC-AMP-32, EA-ELEC-AMP-32-R1, NUDOCS 9707180079
	Download: ML18067A635 (51)
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ENCLOSURE 1 CONSUMERS ENERGY COMPANY PALISADES PLANT DOCKET 50-255 Exerpt from: EA-ELEC-AMP-032, "Ampacity Evaluation for Open Air Cable Trays with a Percent Fill Greater than 30% of the Useable Cross Sectional Area" 9707100079 9707ag5~ PDR ADOCK 0500 PDR', p ..J ---,:"l 50 Pages

'I I ~ . 1:

f PALISADES NUCLEAR. PLANT EA~ ELEC-AMP-032

. ENGINEERING ANALYSIS COVER SHEET. Total Number of Sheets._* __ itle Arri>aCjty Eyaluatjo~for' Open Ajr Cable! Trays WJtb A percent Fjll ~reatec Than 30% ~f the Useabl~ cross sectional.Area. Rev Calculation Status _ Description 0 Ori gi na l

fssue See Description Below INITIATION. AND REVIEW.*

. Preliminary. . a Pending a Final a Superseded

a
Initiated
lnit Review MethOd
Technically Reviewed Revr 1--------~ Appd l----.,_-.,...-,..,_-+---_...;.~----1 Appd CPCo By By

. Appd Date Detail Qual Alt Cale Review Test B B

.Date Jon x.

Nehls Ricardo

Hernandez

/_;B/q7 ~ b R

R Desai -

t---+-----------+---+-.....----+--....;.+----+---+---+-----+--..;.....+--+-..;._~- ". ~ This analy~;is supe~sedes' the P0'1iO_ff of EA-ELEC-AMP-034 Ofor c~ble~. in. ope11 _air' tray~:.. ::: '.:,.* _,. -~ - .... ;.. ~::. *. -' *. :

Revised Sections:.

Removed Major Assumption* 1, which stated that alf power cables were rated at 90°C.. *Updated.. text to incorporate ambient,air temperatures for specific frays, added Assumptions 5:~ 6, updated Acceptance Criteria for insulation rating, added impact.of 75°C cables* in Methodology section,. updates Results and Conclusions to address the potential of 7 5°c cables and added refe.rences and required attachments. Added Section: ---..'*. *.. 7:'°- Analysis 61 ?~0c* Cable Installed in Cable Trays - Above 30%. Th.reshold *_: . s< Supporting Docum.entation for Determining Cable Insulation Rating.of Power Cables * * ~-- :. . ~.: - <.: * *. .t, *- Attachmerit*.19 _- Analysis*_of. 75°C.- Cab_I~ Installed in Cable Trays - Below* 30% Threshold .~ Attachm.ent 20 - Determination* of Depth of Fill for 75°C *cables in Trays*::. Below 30% Threshold actiment21_ - Miscell~n~ous Supporti~g Data * '*~ ...... ~~~~~~--~--~~---~~~~~--~~~~--~~--~~~~~~~~~~--~~ ....,j

. @). cansum111 ~ Pawer PALISADES NUCLEAR PLANT

ANALYSIS*CONTINUATION SHEET.

. EA:- ELEC.:AMP-032 lflflWUUllli. MICllJ&Aln l'flllliltBI. Sheet --2.._. Rev # __.1_* _ I. OBJECTIVE

Background

A review of the Paiisades Circuit and Raceway Schedule (CRS),.which-in part, is used to determine the raceway fills was performed, and it. was discovered that cableJray fill can be as high as 1 60% of the allowable cross sectional area o.f the tray..The original design criteria limited cable tray fill to 30%.of the* cross secdonal are.a (Reference *

X.P). :.

Section. 0:s*.2.of the.*Palisades FSAR. states th.at:. . _; '.'Cables ins~alled.in ventiiated trays, c~nduit and. ondergroun-d ducts * - are thermally sized in accordance with NEC or I PC EA/I.CEA -ampacity..

'. values of c;*oncentric stranded insulatec:i-cable for the conductor.

_operating temperature of the insulation. Ampacities are adjusted _- .. based on act.ual field condltiOns when 'possible. these adjustments *

may inc:lude,. buf are riot limited. to, conductor operatin{(temperature, *.
ambient temperature, cable overall diameter; tray depth of fill, *co11duit percent fill,* and fire7stops.,".,

Ana!y~is does not. ~xist to confirm that power c~bl~ "amp~cities. are>_. adequate for cables-routed in frays with depths of fill greater thari. '

30%. In an.. eff()rt to: determine the impact the cable.tray filfcould have

on the plant, a review of the_approximately 14,000 cables in CRS was.

_*performed.-. This.* re-vie*w _incfudeCf~a-sc:reening for trays with ~ fill gre~tet than 100%.. Condition Report O-PAL-93-028 was written identifying: - . *the potentially* wars~ case.. 13 t~ays.. These 13 tr~ys were analyzed in EA-ELEC-AMP-028 using IEEE paper 94WM100:-8PWRD criteria. The.-.

EA concluded that 4Q cables_ still had a potential to be ove_rloaded.:

These. 40.cables are analyzed i~ EA-_ELEC-AMP-034.,

. This EA is_ generated to analyze not c)nly the 40 cables identified *a~ove,
.. -: but all°*power cable$ *which m*ay exceed ampacity limits per ICEA.*
_
requirements due* to being routed in open air trays _with a fill greater**-_.:'

tha*n 30%*. _ Ampacity for routings other. than in open air *cable frays wiil .. be addressed by addit.io~al Engineering Analyses~ .-~*

'. ~. -.....

. Reference/Comment '\\

.. 'PALISADES NUCLEAR PLANT- ' '* '. ' ' ' EA-' ECEC-'AMP~032 ANALYSIS CONTINUATION SHEET

**_ Shet:lt *~ Re\\f #
1 *
Purpose' The purp.ose of this a~alysis is.to.evaluate the ampacify.*ass-oc.iated. * -

.

vvith continuously energized power cables. This.analysis vvill consist of.
the following: *
1.).. use of a computer model"and progra*ni (Referenc.e X.~) which..

c*alcuiates the maximum ca pie 'mass temperature for *a c'able in a raceway. *

.. 2.). 'c~mpare the rmixii:tium calCulated cable~temp~rature \\vith the.***

'expect~d cable. insulation temperature rating.' '*. ~.

. - *. Sqope *. *
Reference/Comment

... ~ .

The* scope of this anal.ysis. is* limited *to th~ power.cables. routed in :open *

. * '-._.. >air.cable trays~ Excluded fr91T1 the scor:>:e are ducf runs, firestops and... -__. conduits in free air i 0 Which'_vvill be *addressed be separate analysis.. * : '.: ' '

- ~ *.

~**_.*.... *_ ..... *,~.. -~ '* '~~ -* ~ *. ' ..,p: :**;;.

~

. *:*.. ANALVSIS_INPU'T

].) **The p~lmary i~pi.J-tdoc'~ment~for_t.his calculatiOn is~.. ~he Palisades.

Circuit and Raceway Schedule. (.CRS). This includes, but *is not *.

li.niited to, ~abl~ tray fill.~* cable and cable tray size, and cable. ' '

--" temperature ra.ting;~* lt'_was discovered that enhanc:ements to ihe.:.... * .* >.. -.- CRS Were requfreq in ord-~r to'g-enerate accurate results. These-.

- .'- *.. - - en'tian.cements include' verifying data such a~ cable' size~- cable

. : *~.- *.

f.* : **

.. ~ * :

. * ~ -. t*y*pe an~ are docu*ment~d iri Att.achrnents -11 ar'd_* ~ 2:.. -~. *-~ *-

it P~lis(ldes.plantdocumentation was used *t()*deterrlii11ethe load:.:;* *
* * *. tlirrent for the~ continuously energized power: cables.. This*, * :*. *~. : -
in~ludes cables. identified as power in the CRS for. an 'affected:*

... routing: point.* This documentation is. idehtifiec;i in Attachment 5.. ~**.. ~ ~

.' _': 3.). The.. ambient air.. temperature 'tor_ gelierai areas; o(t*h~. ~iant*.is ~ *.. *

.-_'... ~. ::: *<.~: 40°C per Refer.ante X.K~* *Area specific temperatures are*.. *.***.. _.. * -*. ~ '<<'-.:*:;-:available p'e( RefererlC:e *x.P and' Were utilized in~ Attachment *1 i -.*

. for cable-.tr~y _rotiting.points XK4-56, XK46~, XPl2l, XP123~ -~---.*.

._ XPl.25 ahd XT1. 60, whfoh. are.located in the Cable Spreading':- '*... *~ . *.... **. ~-...... : . ~. , * *. ' Room~.

f

. 4.) *.*oocumentatio~~r.equfred *for the* Heat Transfer Model. for Cabl*~*:.. ,... - Ampacity* iri.tray is refer~nced in Attachment_ 8 and*i.nCluqed r':l*

::,. Attachment 9. :._ - **...

~ - ~ . i. ... ~ .. ~:-..

PALISADES.NUCLEAR PLANT . - ANALYSIS CONTINUATION SHEET -:. EA-. ELEC-AMP-032

sheet _A_ Rev#* 1
11 *. *

-. ANALYSIS IN~QT (co~tinued)

Ill..

5.).. Walkdown data a.ssocie1ted with ttie affected routing points. This walkdown was performed to determine the actual installed -

condition. The *result of this walkdown was incorporated info the
working CRS' database.and is document~d in Atta.c:hment 14. -

ASSUMPTIONS.* -. *.. Major *Assumptions* 1.)

Not Used. -

2.~ The original plant* design crite.ria *(Reference X.P) limited the fill

of ca~le trays to 30% of the total'cross secjional area of the tray

-. and a maximum operating temperature of 90°C. If is assumed. that power cables with 'an insule1tiori rating of 90~C, -routed in

trays' with fill less. than' 30% werei. sized' adequately.. *

~.. . 'Justjficatjor( * '.* ; . The results of this EA ind.icates* that of th~ 16.12 'powe'r cables:*.. . * '*analyzed in the 413 cable trays;vvith.afill gre~terthan 30%, n~'* power cable with* a* t.ating of 90°c w()uld. exceed its insulation - . rating~. These results_proyide_adequate-assurance.that these 413 cabl~ frays bound the re~aining cable frays which h~ve percent:. fills less than 30%. -.. ~ **..

.~ *.

-. : :._.. Minor Assun1ptjons, *

-~

,c.'. 3.) -- The* engin*e.ei'ing judgements req~ired for the development of the

-analytical. ampacity and_ heat transfer model _are inc.luded i_n

. Attachment 8. * . *.. ~-- 1' Refere /C .. d

.. -. ~
-~

~

PALISADES NUCLEAR PLANT

.. : EA-* ELEC-AMP-032 . *ANALYSIS CONTINUATION SHEET Sheet~ Rev# *1 - a/Comment IV. M jno[ AssumptjOr)S" (continued).*.

. 4.)

The m~thodqlogy for the hea"ttransfer model include*d in this .attachment is based ori a horizontafsection of cable tray.. However, justification for the use of this methodology in vertical sections of cable tray is provided in EA-ELEC-AMP-033, Rev. 0. -. l ~. 5.). A" review of the CRS database ind.icat"es that there *are power** -.:

.. _
cables that eit.her have -811 im;uiatiori_ rating less. then 90°C 9r *.-..... -*

where the insulation rating is not identified: A conductor.. 'insulation rating of 75°C is ttie lowest rated cable installed at

, P*alisades. Therefore~ -this analysis will assume _an insulation_

- rating o*f 75°C.for power cables. . However, if the calCL!lated temperature of a cable tray is above

the.assumed.75°C value, the power cable*s installed in the tray.. -

will be reviewed to determine. the actual insulation.rating. The : *

ic:isulation rating for cable_ types. notident.ified in CRS were-.-:. *_ -

9onservatively determined and are documented in Atta~hme.nt l8, _arid ttie._analysis for "cable tr~ys above 75°C is lriCluded in-Attachnient..1"7. No further verification is required.. _.: -_..:* 6.) -* Attachment-1 7 documents* revisions to the analysi~ for cable _ _ *trays* with a. *calculated_ temperatl.fre above 7 5°C from* Revision* O. -of this EA;. The cables seleGted for additiona_I refinem~nt may be _ routed tnro:ugh other race*ways. Howeve*r, these _cable frays .:.. : *_

werehot fovi~ed since the *c*a1culated temperature was already,:.

. *-.. *, below the 75~C threshold and incorporating* these *refinements. * * *,. would only repuc~ the. cable.trays temperature.. this is a -_.-. ... conservative assumptfon-and reql!ires no.verification;:. '. ~:.. :* ..*** ~~---.;*;*_.... *~~~*-,,_

--~*-.:,--. *. '

l ACCEPTANCE CBITE.BIA~;~? ;: ~- ' -_*

- - ,j.

_*_.c

I

~-.. '

.. \\

. " For ~a~h':aff~cted 'ci~a.ble ti~ys*; a cortipadson will_ be mad~. betwe.en the.. -.. . *. ' calculated exp~cted maximum cable tray temperature and the assumed _...

7.5°C frisulation temperature:r__atin,g of the povver cab!es *. If the
:. * *. - * * :~~- -..

. : calcul~ted temperature" ofthe cable tray is greater then 75°C~ a review

*of the cables in that tray will.be performed to determine the 'actual':.. *

. ~--*_insulation rating. - .. !(either the assumed; or 'actual insulation temperatur~ rating exceecis. -'the maximum calculate.d-c.able temperature, no further. dispositi()n is<.*,".

required.. - * *

. t .. '~

f>ALISADES NUCLEAR PLANT.

EA-ELE'c-AMP-032 ANALYSIS CONTINUATION SHEET . Sheet _6_ Rev#* 1..

v.... METHODOLOGY'

General***

- The original plant design criteria limited the.fill o.f cable trays to. 30% of

the total cros~ sectionai area of the tray. However,a review of the current. CRS database 'indicates that cases* exist where the fill in* trays is

greater than 30%, without the analytica{support as required per the FSAR,. Therefore; c*~ble trays.c'ontaining power cables with. a percent fill greater.than 30% will be included in this an~lysis. * *

The Palisade~ CRS database will -be used to. determine the. popuiation of cable trays included in this araalysis..On.ca *the population is defined, the raceway and associated cable data*wili be used as.input into an".
analytical cable tray model to de'termine the calculated expected *cable.

tray steady -state temperature~. These temperatures will then be... . ' *r~viewed to d.etermine the adequacy of the power cables-installed in*-.. ~::. ** *'.:;.c.able trays at Palisades.. *~. *. **... **.*

***** Analytical Model

.

An* analytical model which calculates.the niaxi~um* expected

. :. temperature of cables in trays is being used in. this ~A.. This model:* .*... *-.. *.uses the. Mathcad Software* to perform the* labor intensive calculations. -* associa~ed with the analyticai modeL This model utilizes ttie cable. * * .. *loading diversity (i.e.' the fact that cables at _Palisades are not *au carrying. their rated current. and that physical distribution of :. ... cc:mtiniJously: energized powe(cables. in trays. exists);:~. L~ ~ 0

.. '. ~
7

.. *.A feature: of this model predicts the. maximum* cable mass ste.ad/ ~tate.

-* 'temperatur.e that e~ists.in a.single horizontal cable tray ih open air. The methodology f.~r th~ devel_opment of the heat transfer model is... ** *
. : discussed in Attachment a-..
This adapted model* and approach are..

. discussed in JEEE paper,* ~4WM 100-8 PWRD.(Reference X.C)' - c* ,l*--. . f ~. -..*

Petermjnatjon* Of Cable Trays jn Open Air..

. : Eoha.ncem¢rits to the CR?. Pata.base. * * .,..Th~ analyti~a! "model u~ed. for this analysis requires specific ca.ble data - . *for each cable in the tray being analyzed~ regardless of whether it is.. *. *> .

carryin~f current~ This data* is needed to determine an accurate depth of

.-fill and to bu!ld the app~opriate *cable model~ This cable data includes*. ., ~..

~=-

. \\;;;t;:l,,,,..EJllla.. PALISADES NUCLEAR PLANT ANALYSIS CONTINUATION SHEET EA-ELEC.:AMP-032 MKlmiA#'S NDfYrUI -.. *

Sheet _:z_ Rev # _*........

1 _ . the size of-each cable, the number of cables, the number of

. conduc:tors, and. ~he' di~m~te~ of each. cable~..

Based on* this re.quired data, the CRS database was re~iewed and a. temporary working file w~s created and was updated as identified

below:.

L). the field in CRS.whic.h 'identifies a* cable as power is the USE'. . field in _the ckts.db file.. A review of this file identified *

approximately 1 500 cables with this.field blank. *To ~nsure all

. power cable~ are included in this evaluation, each of the cables*- with.. USE ='BLANK' were e\\faluated to de_termine its funct.ion.. This.review resulted in 333 additional cables being labeled.as

power.' This evalu.ation is documented and included as*.* 2. *

*...2.)

A.review of tt:ie ckts.db c;snd* the cablcode.db file$ indicated that * -* a*p'proximatei'y '150 c'aoles contahied zeros or blanks in the fields:; .. ' which contained the data for the size of each cable~* the n'umber.. . of cables~. the number of conductors, and the diameter of each ::

'cable.. 'A. review of plant electrlcal drawings*was performed and..
- ~he missing data was.obtained. In some cases, the.data could *
not be verified and* conservative values were used. This
evaluai'ion is documented and is Included as Attachment 1 r. :. *

~ Determjna~jon Of Trays with Fill > 30% . Or:ice the w~rking. database was updated*,* an a~curate percent. fill for*.:; cable trays could be calculated based on the c*able tray size and cables*

*per tray. Th_e~ working database* was reviewed ~or ea~h routing point~ **.

. and th~ correspon.ding percent fill for each cable. tray was determined. * . Cable trays id:ehtified as:"lnstn~mentation" do not carry power* cabies * . arid were*.elimi_~~t~d form the. sear.ch criteria.. .. * ** ~ ~*:. : ! * ~ * *

~. -.:..

- Each c*able *tray ro~ting point,.. and Its associated per.cent fill, are

documented on Attachment 1
~
A *review of this page identified 41 3*:.

. **. routing p,oints with a fill greater~ than 30%. These 41 ~* routing points.:* * . '.* ***are docu.mented on Attachme.nt 2~ A report was gener-~ted for each of these 413 tray points.~ This report *

- identifie*s the* cable tray.and the cables routed in each* point along with. *

.

cable characteristic '~ata required to perform the temperature analysis~

. This repor:t isjncluded as Attachment 3.. ~'. Rater * . *~* . J. . ~*. .. ~-;

. PALISADES NUCLEAR PLANT EA-ELEC-AMP-032 . *** *ANALYSIS CONTINUATION SHEET Sheet _a_ Rev.# ___.,1 __ . Determjbatjon Of Load Current .The !o:ad current: for each c'ontinuously energized power cable is required as an input into the ampaCity analytical model.: These values . *will be used to det.ermine the "layer'; arrangement adopted in the model discussed in Attachment 8.

.. _* * : Since_ th~ S&L-Amp~City Program performs an *analysis on each ~able

.. ' - tray pqint, the power cables and 10-ad currents for. each of the 41 3.. - . cable tray points were required~ In order to determine the actual load. :* *. current, a review *of existing plant calculations, load* center sheets,

MCC setting sheets, plant drawings, outstanding change paper,:_*..

. measured !oad dafa and vendor documents was performed. The docurrientation associated with this. detailed review fs include~ in Attach.meat 10. Each power c_able for a* givef1 tra*y po_int was included . in. a unique file. These files include a. reference. to the source data for *

the respective current values,_ and are-included: in Attachment 4~* Jn.

addition, a cumulative listing. of the power cables that were re'searched *... _~:for this analy.sis _are included as Attachment 5.. :.

:. -It \\vas n~ted* during. the review of the _cables in Attachment 3 th~t 22 _ **.

. *of the 413 *cable trays do not contain power* cables. These 22 cable:-:< * *.,* . *.:.*

trays are' listed_ b~low: and no. further analysis is requirec:L

~ ~ .. *. *cP700

~ FN.D-20..
..._, FMB-os". :. _:" -. * * - ::FNo-21.

. FNBA01

*.;. 'FND **

FNDT77 :

FNDr78
FNDT7s**
-. ~.

a/Comment . ~.

. FND-15

.~:

FN.D-25**

. MP2o't. *.. * .. ~' ~. '..:. FND-16 *. - FND-26.

FND-17

.. FND~86-

- '. FND-18 * -::.:.; i..., FND-e7.. -.

- .* FND-19*..
:c._.
.~'

-:* '.' ~ ---

- Utilizing th_e A°oipaCjty Progra~ii*. * * *
XP501A.

~.

. XP501 B . *". XR438 *. ~ \\,.. 1.~' * .. -The S~l Matbcad Ampacity Program is executed by linking t~o input -

:. files for a specific routing point to.the executable version* of the.. *.. '. '
. progra*m~ The inpijt files are text files that consists of raceway and. * -~

_ cable *data* that* specify the composition and characteristics of the

cables. (size, diameter; amps, etc.) in the tray. The assembly of these input files consisted of reviewing the cable qata included in Attachment 3 & 4 for each routing_ point and deterr_ni.ning those cables that'have* :
similar cable characteristics.
Cables that have the same characteristi.cs

1'-*** ~

r*,

',~

@) eansamn-

~ POWU.* PALISADES NUCLEAR PLANT ANALYSIS CONTINUATION SHEET * .EA-ELEC-AMP-032. llflflffllM9 Ml/Ull&Aln l'flOGllUS Sheet _£ Rev # _1_* _

e1re "bundled" together as one* cable. group~ The result is an input file which lists. unique. cable groups that represent the *total cables i.n each.
routing point~ These input files, and an explanat.ion of the data

.. *included in. the files are included iri. Attachment* 6*. In addition to the re.quired cable characteri~tics, certain data is nee_ded

about the installed condition* of the cable tray. Information such as covers, type of tray bottom~ height and width is required.* To enslJre *

. accurate cable tray. data was used, the *information was obtained via a walkdowri* of ttie*a-ffected cable trays and is included in Attachment 14...

. The 'output of the Ampacity Pr~gr~m contains the input :data used by

. - th(! exe,cutabl~ program and the resulting calculated cable tray,.... **. .

temperatures.* This* output file,for each cable tray routing point is

. :

included in Attachment 7.
.,
The. output of this program is a set of _approximately 34 pages for each

... routing point a*nalyzed. *. The majority* of these pages contain.various*... equations and calclilatioris that are repeated for each routing point: *..

- .Therefore, on~ complete sample *output report is included as an -

appendix to Attachment 8.and the data inclu_ded in Attac~ment Twill._:.

.. *.. '. be the unique inpu(~nd output data (usually. two pages).for *each of the 391.roi..iting points*.- * .i ~

.. Impact of Cables With l,nsulation Bating Less Than 90°C_
Revision 0 of this.e~gineeri~g a'nalysis (Major Assumption 11i.2) used a

"... fill threshold of 30% of the 'total cross sectional.area ofthe tray: Cable . *, :.. trays with.a percent fill above this threshold were analyzed* using ttie * . *. ampacity program descri_bed. in Attachment 8. of this EA, whil~ trays... with a' percent fill belciw the threshold were assumed' to be adequate> based on the origi.nal designba_sis of the plant. The impact of 75°C._

. ** cables.both above:"and below the threshold vc;ilue of 30% needs fo be.* *
- .. determined ;....,'::.~- *..-

-__. 1 *"I' * *:

.. ~
. _ lostallatj~n of 75°C'cables.jn tray above the threshold of.30%.. * :.....

'-*,*':°' I ..... Per' Mln~r Assumption 5, this analysis will assumed the1t power cables~ Referenc IC m ~ -. - . *****~. . - ~...

* - at Palisades _have an insulation rating of 75°C~ A review of Attachme.nt

. *. :

15, which.. is a summary of the calculations for the 391 affected routing

points, indicates:~hat the calculated maximum conductor temperature

. -. *.~.:. .: for all.but 28 of the cable trays.is below 75°C.. Therefo~e, using minor..** .. ; 'assumption 5/which assumes.75°C as*the conductor insulation rating**. . for ail. power cables, these 28 cable tray routing points require ~.,

- _ 1.

. ~. ' . -._.. -~* L....--------------------------------------------------------..._ __...... _________.._.,. *- ... ~ ":".*

PALISADES NUCLEA.R PLANT*

EA.: ELEC-AMP-032 ANALYSIS. CONTINUATION SHEET

Sheet 1 0 Rev # __,,,1--'-

.. ~.

additional anal.ysf~: A listing.of the 28 routing point's and. the data.

supporting the additional analysis is included in Attachme.nt 17 and is . described below. . The Mathcad o*utputfiles for:the 28 routing points were reviewed.and*

the power cables with the highest percent of the IPCEA ampacity Were submitted to Palisades to* obtain ~.easured. load data. The* *.....

docum*entation for*these cables, along with their measured loads is includeq pages 3 and 4 of Attachment 1 7. * .,:The.2Ef mathcad in.put* files were. then revised to* refl~ct:these measured load values and the 28. files were rerun. using the S&L Ampacity. * -..

Program~ The documentation ol these* load changes, the revised input

' **. files and the Mathcad *output files are included in Attachment. 1 7, pages 5 through 1 ~6. *... * /Comment ... * *~ . Page 2 of 'Attachment 1 7 summarizes the temperatures from Revision 0 . and the. revised temperatures~* A reyiew of this* surrtmary sheet shows . that 7 cable fray routing points.still ~ave a calculated terri.pe'rature above the 75°C maximum allpwable value~ These 7 cable tray points. were. reviewed t() determine the actual insulation ra.ting of the cables. in.st()lled in each tray. The E39.Qb file.in the CRS database identifies * *

insulation_ ratings~ of mo*st of the cabie;types at Palisades. However, 18.

. cable type codes were found that did* not have a rating as.sociated* with*. them in the. E39.db ti.le. These. 18* codes. were assumed to be 75°C. :*.*. * * (See:mir:ior assumption 5). arid the. su.pporting data for.this.. a~sumpt°ion is included in Attachment 18. ..,. A query was then performed. using the E39.db and the cablcode.db:. data files in the.CRS to determine the.insulation rating of the cables

installed in these) routing points..
The results* of this query is included.

in Attachment 17~_.*pages 12t through 133~*.. A review *of these re~lJlts.

.
indicates that 1 cC)ble tray contains continuously.. energized power '..' * *

. cables. with a potential insulation rat.ing of 75°C and a temperature*,.. - *. . aoove the minimum of 7.s 0c:. - .. _... ~ .. **~.. .(. '. Installation of.15°C cables* in tray* below the* threshold of30% * ~ . As. stat~d previously, the cabl~ ampacity at Palisades was. based.' ~:n a tilt of 30 % and an* operating temperature of 90°C. It is then rie.cess~ry * ... to determine the impact 75°C rated cables could have on the cable tr~y analysis. TJ:terefore; a cable 'tray percent fill at an operating * *. . temperature*of. 75°C was calculated so the cable ampacity.at 75°C will be the same *as the cable *ampacity at 90°C.. This calculation is included . ~ - ~'.

.. * (@consumn Power l'flWUU.' PALiSADES NUCLEAR PLANT ANALYSIS CONTINUATION.SHEET. EA-ELEC-AMP-032.. ~. . -~~ l'll8Mi:D Sheet 11 *Rev Ii _,...1 __

.in Attachmenf20 and the* results of this attachment stat~s* that-.the.

depth of fill of a cable tray with conductors rated at75°C should be * .* 2*1.5% of the total cross *sectional area to have the same cable.. *.*. ampacities as a tray with conductors rated at 90°C and. a depth of fill of 30%. * .. A review of Attachmen.t *, was perform~d to *determine the.ca.ble trays * .. with a fill between 21.5% an*d 30%. This review resulted in240 cable trays within thes*e limits. *These 240 cable trays are documented on. * -.. 'page 2. of Attachment 1 9:. A query. was then performed using. the

E39.db and the* vias.db data files from CRS to determine the cable *

. : trays that ~ontain cables with an* 1~sulation rating less.* than ~0°C...... ' - *The: results of. this query. indicate that i S cable tray contain power cables with insulation ratings less than.90°C.

These cable trays are

.**. included.. on *page 3 of Attachment :is. The Matticad inpu_t files wer~:

. *'. then gerii;,rated for these cable trays and were analyzed using the. S&C
AnipaCity Program. The.cables per raceway, load data, text input}iles,
* *
and the Mathcad_ output files are *also f11cluded in* Attachment 19, pages
4 through 110. Page 3 of Attachment 19 is a sqmmary of the. 19* *,.

.. ** cable trays* and the. c_alculated maximum temperature.. A review of this . sum.niary indicate that the calcuhit~d. temperature for all* 1 9 cable trays. ts below the minimum ins°lJlation* rating of 75°C. *Therefore, cable*trays . below the threshold limit of 30% are not impacted by the installation of 75°c cables VI. CALCULATION AND RESlJ_LTS_ '°- :_ * . -..* The c~l~ul~ti~n:s o~ the :s&t Ampacity Prog~am _for -~~bi~ t~ay pc>>i.nt~.~-.

* ** open airis includedin.Attachment' 7, 17 and 19. These calcuiatiom~,..

... identify the maximum* expected t~mperature in a cable ~ray and are. *. summarized in Atta.chment.15, 17 *and 1 ~** * -- ~- i' " ~ ~

.. _ ; ~<* :_. -,;.~-

~. .... -~., .VII. - COMPARISON OF.RESULTS WITH ACCEPTANCE. CRITERIA> -.* _.-!*:* *.t .. ~*...

_The output files i.ncluded in Attachments 7 and. 1 7 indude* the

.... *.calculated maximum expected cable tray temperatures~- The maximum**. .e'xpected temperature of a cabh;,* is calculated based on the procedure*. . outlined in Attachment 8. The difference between Attachments 7 and *

-,
i.7 is that.Attachment 1.7* uses more refined data 'tor the 28 cable trays

.. with a calculated teri1perature above 75°C.. _The calculated maximum:.

cable tr.ay temperature is less than ~~e _cable insulation rating of' th~ * *
ment

~ ~ ~. c ~. -.... : **. ~;;..

PALISADES NUCLEAR. PLANT EA-ELEC-AMP-032

.. ANALYSIS CONTINUATION SHEET Sheet 1 2 Rev #_ ...... 1 __

: c~ntinuously. en~~gfaed po we~ cables ro~ted h the trays for all routfr)g points,* with the exception of routing point XK4-56~ which has. a.

. calculated temperature of 85.9°C. VllL CONCLUSIONS *. - This EA is based on. a methodology that calculates the maximum . expected temperature in a cable tray based o*n au the cables* in the tray and their:*respective load curre1:1.ts:.

There ar*e 4-13 cable.trays included in: the scope of this EA. Of thes~, *

- . *- -.. 22 do not have power cables routed through them and* are therefore..

. adequat~. The:.remaining *.391 cable trays were evalliated using the S&L . *.Ampacity Program. The results of this analysis,* as documented. in -. * . Attachmenf 17 I identifies routing poin(X~456.as having c(ilculated *. t~mperatures.* above the insulatfon rating of continuously energized

- .-power cables installed in the trays;

~ RECOMMENDATION- - +

*.A review of the summary ~ata iru*..1del.in attachments 1 5 *and 1 7..

indicate that there* is 1 *raceway contai_ning continuously *energized..*

.. *: ~power.cables whose calculated' temperature is above the insulation...

.- rating of.75°C>; Though _the majority of the cables in this tray are rated* -

. --. at 90°C; the c.ontinuoLisly energized po*wer.cables.listed t?.elow hav~* _an

expected insulation temperature. rating of 75°C and should b.e an-alyzed.

. :-to determ-ine any loss. of iife, or impact they may.have had *an the._

. /neighboring *ca.bias* in *the tray.--*. *~* :. *
*. 1
r.

-**r ~ J.. . : XK456.*.*>.* B08/Z2i1iL* * ':~:_--*.*_-"*.PBS8/Y230A/1 ~ 1.;;.:~~-: ~ .* z.. '~.. t -: f**:-: .':*:-*... *... ~*..... ~.. - ~. ~ ~. eference/Comment ~* *,... ..~. . ~.*. .-**=

~

. PALISADES NUCLEAR PLANT. EA-ELEC-AMP-032 ANALYSIS CONTINUATION SHEET She0.t 1 3 Rev # _...1 __ X.. REFERENCES ;;, A.*

Calculation DR.S-632591-1 "Determine capacity for all**

transformers, cables,' circuit breakers, load centE!rS, and MCC's. B. P_alisades.Drawings ~nd other Piant Data* .., C;

IEEE Pape~s (Attachment 13)
- 94 WM 100~8 PWRD, ent.itled "Ampacity of Cables in.
Single Open-Top Cable Trays", by Harsh~' and Black~

.. 199*4~.* 96 WM:-209-7-PW.Ro", entitled "Ampacity of Cables in.. . *' Single* Covered Trays", by Harsha and Brack, _1996. *. . ~*

o.

ICEA St~nd~rd P-54-440,: Rev.. # 2, August 19.86, "Ampacities in

- *. Open-top Cable Tray;'_. (The appendix t.o this standard,* section D,.
**page ii, gives values for ttie *emissivity. of the cable. niass ahd. the.*
cable fray):. (includ:ec:t in 'Attachment 9)* *

.. ~-*. ~ .~* E... Methodology for Development of: the Heat Transfer Model for

cables in. Tray (Attachment 8) )

. *.F.. IEEE}ransactic:ms ori Power Apparatus and* Systeri1s, Paper 70 *... TP-5 57-PWR, entitled "Ampacities for Cables iri' Randomly Fille.d.:.. . Tr~ys", by Stolpe,_. PAS-90,* 1971, pg. 962-974 (included in .. * **. ) * -.. _.;... 'G. :::. Me~ting Notes for° a* meeting between R.. Hernandez (S&L) and B; Baker (CPCo) (included in Attachme.nf 1 Ot * ** -~*. * * * . H. *: Compute~ Output* from *s&L Mathcad Ampacify Program'; :for the . ::** -.4t3 Cabi~*rray Routing Points (Attachm.ent 7).: ~-. ,;,. ~ . ' _. ~. ' ~ ;j..*. Reports from the. CRS *Raceway Database.*.* ,.*.. J.:

'\\'\\

.. ~- ; ..* Special ~eport showi.ng. cable and raceway d~ta. (Attachment. 3)

**
K.
ci.es.ign B~sls D~cument*l.* 07 ~*."Auxiliary B~ilding-HVAC *.. :* \\,_: *..
Systems"*

Reference/Comment

~.

~ '. .. ;:~ ~...

@* co~n- * -

~ Pawer.-. :. *. . l'flWUU.* w PALISADES NUCLEAR PLANT .**.... ANALYSIS CO.NTINUATION. SHEET:. EA-ELEC-AMP-032 . -~~.NlllllUB

Sheet 14 Rev*# _*_1 __
Reference/Comm.r:i Walkdo.w'1 data f~r 413 'raceways. (Attachment 14).

.. P~ MiscellaneousSupport!ng Data(Attachment 21)

FSAR, Re~ision 4 (04/10/69), 'section 8.. 5.2.3, *

~- Ltr: between K. f oner (CECo) arid o: Crutchfield (NRC),.

:.* *dated. November 1, 1982 *

XL. ATTACHMENTS.

'Attachment 1 -*

Listing ofRaceways ~nd Their PertenfFill. -

~. I:.

- Atta.chmerit 2.,
Listing of* 41 ~ Raceways* -With A' Pe.r~ent Fill > 3Qo/o.

~

.":~.

~--- J *.* I

AttachrDent
3- ~- : 'Report*tif."Cables.By Tr~y. Routing P~iQt';. for.'413.

. _.. _" * ':Affecte~.~acew~ys.

.'*J. *.*

' Attachment -4* ~ : Report of "Power Cable~ Per Raceway"* for 41 '3.. "

~ Affected 8ac8ways.., ~* * ~ * *. -

~
*-*-~ -

~..

. " :; Attachment 5 -:'. ~ Listi~'g of H 1612 Power. Cables; R~uted In The 413,.

Trays.With a Percen.t Fill Greater Than *30%~" _ ;'... -

I -~:;-....*.. ~ '-..~;---:7_:-. .or r.. * *._, _.. - *-:~ -~*=\\.:.-. .* Attach':!ient 6 - ,.Input-Files.for the S&L Mathcad Ampacity Program* I

- r."'., *

.. - (.. - - ~ *- :-" Attach~ent *1-* ~ 'S&L MathCEld Am.pacity Prog~am' Out~ut for cable::..... ~ :-~'-.: **,.:::.: -.... ;. " -,.

- -}. -::
Tr'ays iii.Open Air~-

'*Attachment, _8 : :, *. Meih~doio~~.For. Th~ De~e-lo-pm~~t.-of'Heat Transfer

Model For Cabl.es In Tray.*

... * ~~-,...,. -* -Att~ch~~:~t, ~:- ~,7~:./~upp~-~irig~.:b~cum.entation *R~qu*i~ed :*~~.r: Th~. '"

/ *

.. /:*oevelopi:nent Qf Heat Transfer Modef For Cables *1n. *

- -~- -.:-.:: * * :*->"<.

~Tra.y:

_---~ - t <: --~.:_

.-. -* -.. Attachme_ni lb -:. *. Supporting Docl.i_mentation Requir~d Fo( The* -':'. ~:" :,.

-~*

.7... "

. -::. *. -. Developme~t O_f Load Currents Fqr Power Cabh:ts hi

*;...*. !r~ys (R_~ference Attachment 5)

~ -

~.

Attachment' 11 :-: ;. _ Entia~cemel'}ts To The CRS Oata~ase. r *-**-* ~-. :. . ~; '.,.,-* ~ '_Ii*. ;,. *: ~ ~* J"

. *. *!!*J:

. ~*.., .. ; '-~. ~ -~ ','"'."i ...~~- . -:.. ~--

. " ~. PALISADES NUCLEAR Pl.ANT-* EA-.ELEC-AMP-032

ANALYSIS CONTINUATION SHEET Sheet
15 Rev # *.1 * *. * *
Reference/Comment

" } 2.:~. Segregation For Cables With "USE" field Blank In. CRS. . Attachment 13.-' IEEE Papers 94'WMl'OO~SPWRD and S6 WM-209-;; 7~PWRD.

Attachm*entJ 4 - *. *.Pa'lisades Cable T*ray W~lkdown.
Attachnient* 15 -

, Summary of Outpu.t From The-S&L Mathcad Ampacity Program For Cable Trays.In Operi Air.. * *. ~ ~ -

Attachment 16- * *Not Ustid. ".

Attachment* 17 ~. *. A*rialysis of 75°C Cables,Installed,in* Cabl~ Trays Above 30% Threshold.' .... ~

.*'-f'.
Attachm~nt 1 S -*-.. :*Supporting Doc~mentation fo~ Determining Cable.*.

. * *1n*sulatjon Rating of Power Cables. .., /~. -~ :**-... :

~. ~.*

. A~~achment 1 S-.
Analysis. ot" *;5~G Cabies Installed. in Cable. ~rays**

~.

Below 30% Threshold. * *
Attachment 20*,:

Determination of. Depth. of Fill for 75°C Cables in

,~:. *.

.. :'. *Trays '...... * ...,.Atta6h~e:nt*~~~:-_.*_ <.Mi~_ceua.n9:d~s ~~*pp~rti*n:g*D~ta--*. *.-**.. '.:.-*: ~:*<-<./'. * * .~

~*.. *!*:.~-~:.... :~.~*-.

-' r *.. *:: *. *.. - ~.*" *:- *.: .. ~ *** c

~: : *
- ~

f ~--. f..

~

~.. -'. ' .. *:.. ~

~

.. ~****-.. !.* .. ~ 0 . -~ ~ *~*.. \\,.., ~... *.. ~...

. \\.

~. ~ *... . - i

'; r.**

~.... t .' :.~*.... . ~... J ~- *, ~~ . : ':~ ~ ~ .'. -. ' "~ "*.:... * ~-- . :~..-*~*: ~. \\, '.. ~,. .>~::. .... "':1 ~.

~*...

1...------------------------------------------------------------..... ------------..... ----....... . 'l;... ~.... . '* -~ ,.j .... ~ ._._. ~ . :,~ ... ~

.~ :*

~--...

-J.

.i.** ~-... '1 ** . l *. ** ... '.. ~ EA-ELEC-AMP-032 ATTACHMENT 8 .Page 1of13 METHODOLOGY FOR.

DEVELOPMENT OF HEAT TRANSFER MODEL.

FOR CABLES IN TRAY. ... \\.. * *.:i.*._. ~-- .. :.. -~.

*~

.Prepa~e~

Reviewed

~.

~©)©~~ ~"-: MAV:.O 3 1997 LJ ERc**~PAL' '~*..

. ~.,,. :

,... -. o**. B** s-i14~~~f y.~ By::U/A.~: -~ *. ..:i -:~. *. ."r ... ---. -~: . -~

"'J ..* EA~ELEC-AMP-032 .. *. -ATTACHMENT 8 _Page2of1~ Ca_lcul~tl()n Meth~.dology . The accepted method fen~ evaluating the anipacity of cables in tray has been the

. Stolpe method(!). This method assumes that an cables in the tray hav~ equal -:.

loadllig._ In actu'aJ power.plant cable trays, the currents of the VarlOUS cables vary significantly. Therefore, an* evaluation of the ampacity based on the Stolpe method * * . for the most heavily loaded cable is overly cqnservative,. given the presenc~ ()f a...... significant nu?rtber of lightly loaded cables. ~... ~'. :

,. -. ~- ~

'. -~.:. : -** ~ "'..

.. "?

~, '..... ~ '. *'- :..,.. _,.* t ~. *...... ~,,.

/* :*.

r. -.*

,:.. ~,.. -: i_. ~ --.~ ~-:....

-~-~

- ;'\\' :. ~ *_,/.... .*... ~ '.:;,, ***... <~.... ~. )

.':i-

.: *:~: *-. '~~~ -~ >:.* The ~~~~-~ables ~~ p~t ill the *center of the-~able tray~* and will ~~*called the hot'. " <\\~.'_'.';°:_. <:

_ * -
layer".. The "hotlayer" is sandwiched bet~een the "wami" c~bles. These layers *are

.. ~.---~'*.**'called "wamilayers". The. "hot layer" and "warm layers" are sand.wl~ed between_:.. ' ~:" *.. _the "c°.ld.cables,:*-ri:iese lay~r~ are called "cold layers'\\~ ~a~er ~angement iS_

_.

. ;*:~**.:~**~ .*.*.~._..-:'.: -.. _.._,.-~*::_*_.*~.. -~--*:."**.,*:*- -:*~-**~._-_.:~_'*:

.~**..

~ .... l......

** ~*.

~- ~. ~ ~-,.. -. ~. .. -=--... *. - ~ ._.\\. ~,....,* _~-:

.~~

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

- t'

... --~-

EA-ELEC-AMP-032

. ATTACHMENT 8.

. Page 3of 1_3 *

shown in the figure below.

_______________ warm Layer*.

Hot Layer*.

~~~~~~~~~~~~~~K-<.I Warm Layer. Cold Layer

The above cable ~angement ~ acceptable when there are large. number of hot"*. ' *.

. cables~ such that the 'sum of the diameters of the "hot" cables exceed.the physical' . width of the *tray*- When there are :a small niimber.of "hot" cables, spre~ding the "liot.. . layer" across the entire physical width of the cable tray resU!ts in the ai.'e~i used for::.. -.. heat ~sip a ti.on beuig larger than the actual area produciilg non_ conservative.... - results. Therefore~ when there are smaller number of "hot" cables only the hot spot... *, . part of the cable' tray is modeled. The model tray width is calcwated as:... . '.:.*.*.. w ~~-~ L D~ot ~able!J + Y2 Depth of FiU wherej:* . ~

- Dhot cab~ *- Diameu;r of ho:t cables The % D~pth ~f ~.term ~ccourit8 for ~ging effects of the *heat transfer path from *

. the hot cables to the surface of *the cable mass. - * * *. * * *.:-_ : *. * ~...

In the model tray all the "hot" cables ~e included. In addition~ one "wann" ruid one
- ._.. *.. "cold" cable, etc. is include_d.until the depth of fill of the model cable try is equal to*

.. _*. -.... ~... the depth of fill of the physical tray. The selection of the "warm" and "cQld" cables is

" *-.* :
perfo~ed u~g the ~?llowing rules: *

..... <*. '. w arri)est large cabfos are selected first I*' ~ * ~ *. * ~.. ~, *. ~~<:. C~ldest sJn:all.. cable~._are selected first

r',
:.: ~~. *

' 1.-

'.;~

After mcludllig the "hot"; "warm", and "cold" cables if the depth of fill'iS great~r

than the depth offill for the phySicaI tray, the model tray Width is adjusted to

. achieve the same depth of fill.. ' '{,. ".. ... i.*. *.. -~ .~ ~ --: :* . '.*.~-~ ~ *: '... ~

~*.

-*~ -~ ..... ~**. -.. ~... - :.. : ::f

'*. *i:

. -... ~ .f-".

.-:, : **~*-

~-

~..

Introduction to the Mathcad Calculations

.. 'EA-ELEC-AMP-032 'ATTACHMENT 8. *.

. Pag(t 4 of 13 *

. The Mathcad calculation.scratch sheetcont~s sections to-perform fou:rtasks:- * * * , -_,.. * * -., -* Gather parameters, such as ainbient temp~rature and thermal. . emissivities, that are entered manually and read the cable.tray Width' and the data,on the cable groups fromfilesthat have been prepared * * * -*

*
ex" te* m"
.ally." *..

..1:. : !~. ..*. _* Chlc~ate key ~*arrune~ers that. "1ill be used.In therelJlainder of the*

:, * < calculation includiiig. the deptli of fill, the ampacities of the cables *- * **.
calculated accordfug to ICEA P-54-440 / NEMA WC.51-1986, and the. ::_.. **

loadiilg of each cable in per unit of its ICEA ampacity.*_.. * *. ~ .... -~ . : Separate the ~ables in the tray* ii:tto "hot", "medium"~ and "cold cables:...- .Xben deterlliine the model width of the cable' tray required to contain. : <

* ~the "hot" cables~ Finally, add a sUfficien~* riuriiber of "warm" and ~'cold.... -..
__ *... **

cables so that the ciepth of fill in the :m:ode!' tray is the same as in th~ ':'.:- - .. actual cabie tray~ If neeessary, the width of the niodel ~able tray is. '.':_ :- ' " -:~ -. ;:;: . >adjust~d to ensure this... -~:. -. *_:-......

-..*.* ~*:.*. -.,:.... "

Calcul~~.the. c~~ductor te~perature tising the Harshe. - Biack ~odei,, * ** *..

~_.*_,... _*_ *

-*~ fo~t-~~ca~l.e-.m~~~-** --" -~- .:. ~ :1. Gath~r Input pata * .... * :1 -*1; . *~ ',,. -. **~ .*.. ::* Mo.st of the input data is riianually ~ntered irifu the scratch sh~_et by silnple.. -__, -~ _ .... : equations. However, beCa'1Se of the large number of cable groups. (a :set of iden:ticai...,. ,.. :.. **,:.. cables carrying the same 'load current) and the amount of data as'sociated with e~ch.... . - '.. * ~-**. _'cable group, the cable group'data*iS read from a text file.. The cable tray width is'*.

__ *...
.. read from* if separate: text file du,e to the limitations 9f Mathcad 4.0's data file -.

.- -functions. The following infol"mation is entered manually: :.*.*..

_ ::* ~-.... *. -

~ * ~--*~->-* The*~Jl)bi~~t-te!rip~rahire: >. * * * :':.. *-... *, _~. *' :,:* s *. " * *j~~ elDi~sivity~fthetopof t~e*~*able tray:.._ -~ ~- -... -.-*~

. ~ *;*:.

.,the e:riiasivitY of the bottom: of ~he cabl0 ti~i*

~

~. :*::, ~*: -.. * -: *

. *.: -: *:_ *.. _*... : * *.._.. _... :Tiu.e~ possfble:break* p.oints for sePar.ating ubo~ ~~bles. fr~m "~~"-

~. -..: *..* 'J.. . cables.* The' appropriate break point is seleeted b.ase,d on the foadiilg of *:. _: : ..the' most lieavily_loaded cable in the cable tray.. :.,,.;. *... : -_ _-*. ".'.. - ., *,. -*. * *> *

Th~-break point_. used to separate "cold" ca}>les fr~m.~w~" cables * *: *

-:A coci~ lridicatllig tlie*tYI>~ 0£ fir~-stop <or ~*~-file sto~)instaned in th~-* _*. .. ~ ~:.,. .: cable tray (In this calculation the code is always set to indicate that no. *

~::.

... I

_._... '...., :, -~ ;*'

'*.. *~*~'...., ~. -.,..... ,. '. *: ~* -::*.'.r.* . 1* ... ~-* ~. ~ .. ~....... :_ *:

~

.;\\. . ~..... ; '

, *r fuestop is present.}

'The_ thermal resistivity of the cable mass'.. _ EA-ELEC-AMP-032 . ATTACHMENT 8 Page 5of13 ~ ' ' The maximum allowable conductor temperature '

The cable tray width is read from a d~ta file that contairis this value ~d is ' ' ' ',

'* -associated With the file variable hdr~name. The following cable group information is readfrom a.second.data file a.sf?Ociated with the v~ariableinput~file:. -The cable si.Zes in _the 0th COlUIJln. (Mathcad numbers arrays beginning. . *with 0 in the manner of the C lan'guage.) In order for Mathcad to read. * .*the cable size, a "i" must be substituted for all "rand a "O" or space.. . must be substituted for"#". Therefore, "410" is futerpreted as #4/0.*' AWG and oio or 10 is interpreted as #10 AWG: ~ '*'. ' The number of cables in each group in the 1st colunin. '*.'

* * - The number of conductors in each cable in the 2nd column~

. *-~-. / ~.:...

* *** *The ~abie diameter* in htche~ in the 3rd coll'i~~ *

. The-copp~r area in. the 4th ~olunin. In th~ Black program tirlsis used

to. calculate 'the cable resistance~ Since this does not a~ount for skin.
-effeet, etc., the Mathcad* scratch sheet deterinines the cable resiStance..

" '.by lookirig up the resistance in a tab.le baSed on the conductor trade:. ' .'size.. Therefore, the scratch.. sheet igriores this field. . * The'~~6~ductorJoad c~~rit in amp~res ~-the 5th c'ol~mll; :'.,

_*i*.~**"'r~~~:~'-:-.~:~

-:-:**>,,.~:.... *.~--!!r::. ' ' ' _Note: The disJ, lafed arraj includes the indeX number of the ro~s OJ the a,rra:f ', '. ' which is not j. art of the in]. ut data; -The ierotli ooilimn is obtained bj -. '. ' augmenting the in]. ut ari'a.) with the iow. indices; This is done. to make'*:. . :*'examih~ng the"data 'oo~tained in the arra.). easier. /or _the: reader. ' -'... '. ,l ~ ,C .......... *. -.~.-.. "':. -~* 1..: .* The ne:d' ~ub~:C~o~ ~f the ~atch sh~~t co.ntaiiis. a senes of Jook up tablesf~r' pre-. *..,, ' ' :.,' ., ~efined values, sucli as conductOr resiStance versus size; air. ch~acteristics such as**.

.
the* thermal cortductivitY~: lci.ilematic viscosicy, and Prandtl number; the effect on the

-. ~* '. **~

temperature-. rise 'due to fire 'stOps; and some miscellaneous constantS, such as the. -* '

Stef.an-Boltzmann constant.. *:.. Firsttli~ cable re~tance; are defined~ This is done by a look up tabie conSisting of * ~- ". -~* * * * *., * .

the vector Table_size containing the conductor siZe code and the vector Table;_resist *...

.*. *. cpntaining the co:Q.ductor resistance iii ohms per foot at 90°C. The Mathcad linear

... interpolation function "linterp" is used to look' up resistances from the cable siZe:

' ~ ~- '.r.

EA-ELEC-AMP-032

ATTACHMENT 8
Page 6 of_13 codes.

. -Since all of the racew~ys analyie.d in this calculation are m open air, -the fire stop "..

.* temperattire factqrs defined in the scratch sheet are not used~

The vahiespf the therinal conductivity, klliematicviseosity, and Prandtl numb~r _of . fil. are based on the data given in Holman. As a simplification, a single value for. . these items and for the 'coefficient of expansion of air is given' for. an assuni.~d fihll*

. -**_ temp~rature of 60°c:
~...

. Next.t:he offset between degrees Celsius ail.d Kel~. and the Stefan". Boltzmann. -*... constant are. defuied. The acceleration due to gravity' is already defined by Mathcad; *: :. - ~ ~.... Calculate Key Parameters*._ -. ~ .. -~. -. -The next' section breaks down the data for use to the calculation. The 'ambient and. - maximum conductor temperafures are co~verted to Kel~. The cable size * :- '.. : * * ' >.. (Cable--size), number of° cables (n_cables), number of'conductc>rs per cable *: (n...:.conductors), cable diameter (Cable_dia); and lOad current (I108J. are. unloaded: * . _.:.. *from the data read froin the cable group data file (Cable~data). Next a vector with,*... -. *_. the conductor-resistance of the cables <Rca~ie> is.created by looki.llg up the conductor. . *:.. resistance of each cable* group based on the cable size-code.,*:** - . *: ~ ~*.. ... :The depth of fill: of the actual cQnflguration_. of the cable tray~ then calcuiated. ThiS

"* - : *will be* usedlater in the seraich sheet to calculate the ampacity as ciefilled in ICEA
p.:54-440 and to _develop ail equivaie~t cable tray to analyze the "hot" cables~ The..

. - depth of fill is defined simply~ as the sum of the squar~s.of the diameters of au the:: :. -*'*

cables ill the tray divided by the width of the tray. * -_ *

~: ' . ' - The next section of the' calc~ation calculates the ampacity of ea~h ~able as defilled

. :.*,by ICEA P-54-'440.. This is a "stand alone" section.which is designed to* reproduce-. * *..

. :. the reswts shown in. the standard as closely as possible. The heat transfer function*.* .. -;. and constai>.ts. are defuied independently froni the rest of the calculation and are... . * -*defined and used exactlJ a8 in the standard. First the heat intensity, that is.the~. -.. .... * *_ amoUn.t of heat iliat* can be produced per unit volume of cable niass~ is calculated~.* *.- _...... -* ~ **. *.* *. -. The Stolpe.1Uetho'd used in the standard treats the cables as a uniform niass that.- * **: *

generates-a ~onsfani *miiount of heat_ per unit volume. The heat* dissipated by the**
_*.*

Slab ofcables is rein'Oved by convection and radiation *using the.constants and* - ... ' " formµlae "given on page 17 of th~ standard. The temperature drop through the cable

_*
ma8s itself is calculated usm*g Equation 5 0£ t~e StOlpe paper (equivalent to_*

---~Holman's Equation_2-23): Theequations are solved to find the amount of he-at*. ~ ~.. :...: -. J.. ~ .. ~

.~*.

. EA-ELEC-AMP-032 ATTACHMENT 8 *

Page 7of13 generation th;t results in a co~ducfor temperature of T~nd iri the ~enter of the cabie -.

niass:. A Mathcad solve block1 is used to fuid the allowable heat generation per unit * .. length of the tray. The heat iritensity is this value divided by the cross* sectional

area of the cable mass. The ICEA ampacity is the current which will produce the. *

. amount' of heat allowed by the heat intensity witmn the square area occupied by*. each cable. The ICEA ampacities are stored in the vector IICEA* The load current in. . each-c~ble is then expressed in per unit of_the ICEA ampacity in the vector 11cEA~* Classification of the *cables as 11Hot "Warm" *and 11Cold"

I I

Th~ deffuition 6f a "hot" cable is based on the ICEA amp-~city of the cabi~~-and*:

. depena.S on the loading of the cables in the tray~ If at least oiu~ cable is loaded to.

.. more than 1.00 per unit of the ICEA rating or more.~ a hot" cable is defiried as a

. :. **.*.cable loaded above i.OO per unit of its ICEA ampacity. If. the most heavily loaded..

cable is loaded to greater than 0.80 per unit of the ICEA ampacity but less than

.....*.. *. *1.0() per'ulli.t of tile ICEA ainpacity, a "hot" cable is ~efined as. a cable loaded to.

* *.*.**greater than 0:8 per unit *of the ICEA ampacity. If no cable is.loaded to more th.an **,_-.;

.*.: :. 0.80 per unit of the*IcEA ampacity, "hot~ cables are defuied as those loaded to inore~.

... than 0.60 per Writ of their ICEA ampacity. in a few cases none of the cable groups..

~tieets the definition of a "hot" cable. 1ti this case, th~ h.ott~st c~bl~ group in the ~ay* *~. *- ** ** * : <.*.*, is selected as the "hot" cables. The Mathcadmax function is*applied to 11cEAu to find the loading of themost heavily loadedcable (Hottest)~ The value of Hottes~: * * ..-~

"*. detemiines.the applicable definltfon of a "hot" cable~.The scratch sheet then

. *. *~

* **,
_-*compares ihe loading of each"cable (licEAJ with the* criteria. and marks the "liot" *...

. **. -: cables in the vector Hot_set. The members.of HoCset with mdices that correspond* .. to hot cables are set to rwith the remaining members set tO 0. Therefore, oricethe. ' ... index of a given cable is. known, Hoi..:_set can be u~ed to dete:rmhie if it iS a "hot"...

0

.. : : 1. cable or not. A sumniaii:on. is used to count t_he hot cables marked in. Ho(_set. The:. . nlimber of hot cables is stored in the scalar variable NumHot. The number of. .. "warm" and "cold" c*ables is then calculated from the total number Of cables *

*,.. *. *.. :. (Data~size) and N'1mHot, This value is stOred k the 8calar NumNotHot~."Cold"*-.-.. ~..

cables.are defined as those. cabl.es loaded_to 10%_of their ICEA ariipacity-or less"-*"'". .. '\\

::_* : ~,_-~The Ma~c~d-so1~~-,b1tl*auti,matically performs a.nliriierical soluti~n~

~- ". usi.rig the Levenberg-Marquardt method of a set of non-linear equations. The. "*scratch s}J.eet uses the Mathcad default tolerance of 10"3, The S<?lve bl~ con~iSts of,. . three parts. The. initial value of the variables to be solve<). for fil.'e defined .** imm,ediately before the key word "Given". The equations to be solved are defined

,.. between. the key words "Given~ and "Find"~* The variables that_ contain the final.

- *.. :!~!~: and the variables In t11,e. equatio~. definitio~s ~e _d~fined b~-:th~ "Find~.:: *.....

\\

-*~.' . *~.'" ::._(. ~;.. .. *. J* . **.-.f

:-~-

',. ~* ~....

. Cables that.are neither "hot" nor "cold" are ~warm".* _

EA-ELEC~AMP-032 *
ATTACHMENT 8 *
_Page 8of13.

. The next step is to calculate ail inte~ value for the wicith of the model cable tray.. As described elsewhere in this calculation, the width of the model cable tray is set...

to the sum of the diameters of the "hot" cables plus half of the physical depth of fill,
so long as the calcUlated width of the model cable tray is less than the physical -

width of the actual ~able tray. The maximum width of the model cable tray is the - actual. width of the cable tray.

- Next a matrix (WarmAriay) is created to determine the orde~that cable groups*

.*should be added to the t.ray in order to bring the deptli of fill iit the. model cable.tray . *to the physical depth of fill. The 0th column of Wa.rmAiTay contaiiis the indices:of.** .* the cable groups,.the 1st column coritfilns the cable loading in per unit of the ICEA.:.

ainpacity, the second column coritains_the*nmnber of cables fu the grcrup, and the

. _3rd column contains the area occupied by the cable group in the tray (equal to the *:_... *. ' *.

number of cables times the square of the diameter).* It is inte11deci that the rows of
_*-. the matrix be.sorted using the cable loading as the p#marykey.andthe cable.area.~--

_,._... as the seeondaty key. However, the Mathcad sort nmctions do not provide for :such.

multiple sorts. 'fherefore, a 4th column is added to* use as a sort key. ThiS is. set to*. *.*

. 10000 times the cable loading plus the area occupied by the _cable group in per unit. of the cable group occupying the most area. The sort index of the "hot" cables is set *.*

. to -.00
This forces the hot cables to one end of the matriX. Warm.AiTay is then sorted.*.

in deseending order.by row. The sorted matrix has the "warin" cables at the top, the "cold" cables below the warm cables,. and the "hot" cables at the* bottom;. '. <-: --~.. -~. :_ Next,-asummaticm'is_used to count the "warm" cables.(Num~Warm). The*n~ber of. . ~ *.. *:...... ~

- cold cables (Num~Cold) is also calculated. Ill.the._sorted Wai-in.Array, the "warm"-.... :.

ca~les lie from* o t0 (Nmn_ Warm-1), the "cold" cables froni Num_ Warm' t~... : _.. *. . (NumN.otHot-1), and the "hot" cables from NumNotHot to {Data~Size~_l)~ - *: ~ \\.~ :: : Ne~( a niatrlx of cabl.es to be considered for addition.to* th~ ~odel tJ.ay ~ be* *. crea~ed. While there are'unused "warm" and "cold" cables, the cables._wili be added.. ........ iil the -order of wariri.est, largest; coldest; smillest; next warmest, largest; next -~. ~-:.. . ;- - ~ * *._- colde~t", sinal1est; etc. If all of the* "cold" cables are exhausted f:iist, the remaining * *. * .::. "warm" c~bles are added* in or~er of descending_loading an~ descending area-*. ....~ ~'. .....

occupied by the~group. If all the "warm" cables are exhausted fii.st, the remaining
*,: * *. col.d cables *&re added in ord~r of ascending he.at generation* and area occupied by -: * '..*... *. :....
_. *:.*: **..th.ecable _groups.* *.** ::

.. This process:is controlled by the flag Mos_t_of. This has a.value of 1 if there are mo~e ...,.*. "warm" cables thal)._"cold" cables; 0 if there are. equal nlimbers of "warm~ and ""col<f' -... ~..... . ~. ~.* \\ . *

I~:..,

. :. ~*.. ~.. . ~ '. ~..

~.. EA-ELEC-AMP-032 * *

ATTACHMENT 8.

~*.. ~ *.. .. Page 9 of 13 * :

cables~ anti'°-1 if t4ere are more "cold" cables*than '\\~atin;, cables. The ~ariable*..

. Max..:.Alterriate gives the number of cables that can be added iri ail altematllig fashion (the lesser of tWice the number of"warin" "or""cold" cables). The information*.. about the<< cable groups is now inserted into the matrix Add_Pointer in the orde~ ill* * :. which the cables will be added tO the model tray. The 0th column of Add_Pointer. *.- _

contains the index of the cable group and thE! 1st column contains the numb.er of..

tables in the group. Because of the way WarmArray has been sorted, "warm" cables * *

. *_ *..* *. are taken from the top of Warm.Array working downward: :"Cold" cables are. taken* *.*

.... from the bottom of w armArray wo~king towards the top. The range variable "I". -* ~,. *.. controls the* addition of alternating "warin" and ~cold" cables.*.: *. * ,.,,.. ~.. -. ~ *. .. *.* '_.~* ) :..

* *. ' * -*.*_The ~ein~g "~arm" *or "~old ~~}Jles -~~ then added. This is controlled by the:: *.
* *.*.*.. vector "iik"*. Avector is used here rather than a range vanable*as it allows defeating ** :-.... :*. ; :*

. * *. this section of code if all ()f Add_Pointer has been filled 'with rutematirig_ "warm~ and. * *. **... * * * *. * -. ,... :/ ,"cold'" cables. In this'C~ase, all members of "iik" ~e s~t:to 0 and the:Oth row of-. * . :. -'Add_Pointer iS copie<,l back to iiself. Otherwise;* "iik" is used to fill Add_Point~i '.\\Vitp.. :.., *. *-.~ . "'Yai'Dl" or ~'cold~* cables as. required.' ~ <.:-:. :.:*.... ~:." 'Jn t~e ne.~t ~~tjo~: the\\1~tor Hot_Pofuter is'.*c~e~ted, Itis-fiued.Wifhtii~ iri*di~~s 'of :.. :_, . : :. the hot" cables. It; is used to access them quickly during later computations.. ;.*

The ne~t task*~-- t~*deterinme b.ow many cables are to.b*;*added. Ill ~rder.io~do this,'
- ---~:-.: >:~
.-.. *.. : '.*a vector _of depths of till."DOFti.w iScreated. The *oth member contallis the depth of *.
1

..,*_*. *.... *;... *fillil'l 'tliemodeltray'withjtist the "hot".cables. The.1st mem}Jer conthlnsthe. depth .* **> >. ~. *~*.of fillwith the,"hot" cables and the firsfaddition81 cable to be added, the 2nd' >'.. ' '. *, '.',: : - in em be~ con fains the' depth of fill with:' the "hot" cables plus the first tWo additional. ... -~.'.*... _: cables to be added, etc:>.:.,_ ~* ~-:~~*, . ~*. ) *-.- . *:*:*~*

-,~

.. -. POF~~ is th~Ji se~ed ~o~ ilie.boti~m up*to-firidth~:nu~ber~f-cabie*grtiup~t~:.*:... ;; '.. ~*:;,_;;\\* be added so *that the depth offill in the model cable tray is the closest" to the: depth* ** * . *. " i .* j'. of fill ill the physical cable tray ~hile beirig greater than or equal to that in.*the...

.*' physical cable tray~ This is done by a summation that decre:oienis_the nuinber of.... *::,. ', :

cables fu the group for ea~ member of DOF trial for which the* depth of fili equals or.. *.

. * :,-... :* ' * :exceeds the.. physi¢aI dep~*of.fill~ The result is stored_ipto NumCables_in_Set; 'fhis,**. * .. * - *: - ;"is se~toJ 'fm: "hot" cables ofily, 2 for "hot" cables plus one addition~ group, etC. A. :.:* >. -.*-. :.. '. _check is made on the reswt. If al,temating "warm" and. "col_d" cables are b~ing adde~. ~ -; '-. _* -.*

." _. _ to the tray," the number _of cables to be added is adjusted so that equal numbers of_

-. ~*--*:* ",

.. :'."warm"*and "cold" cable groups* are.added to the tray. In those cases where all ;.'... > ... *.. *.. *.. '.': *-.cables in the physical tray are inclu<led in the model tray~ it is possible for the value... of NuinCables in Set to exceed the maximum value due to the round off error of -* '.*. calcUlating th; d.;pth of fill~ The chec~ ensures that the value of NuniCables_in_Set. ... ~ .I ~ ~ -....

{'

.. ~. ':.... r*:

j*

~". -.: . ~..

1 '. **.:.* 'i. ~

.. EA-ELEC-AMP-032 ATTACHMENT 8. Page 10of13

does not exce~d the maximum possible value of NumNotHot+1: Finally, the Width of.

the Diodel cable tray is adjusted so that the depth of fill of the model cable tray is*** the same as.that of the physical cable tray. Next,.the number of"war.m". cables in the* set to.be addediS:deterinined.and placed in the variable N um...:. Warm. This is done by searching the Add_Pointe~ matrix and companng the cable loadin*g in per unit of the I CEA ampaclty agamst the definition*. _ of a warm cable; The number of "cold" cables in the cables is *then calculated and - . *placed in the variabl~ NumCo~d. :

The *last step before ~erf~rining the a~tual.heat ~r~sfer calculations is to calculat~--..*.

th,e amount of heat. generated and the depth of fill of the hot", "war.m", and "cold - ' *,,. _ cables. The vector Hot_Pointer is 'll:sed.to seleet the _cables to be Uicluded in the :*._ . *summations for the hot cables. Similar calculations are performed for the "warm".. * * *

. **.and the "cold" cable_s. The data for.the "warm" cables is loc~ted usi.Qg the pointers a,t' *

<*the top of WarmAriay and that for the "cold" cables using the bottom of WarmAriay... *. . '.* *~.. .. ~* '. ..... \\

.*.:**The am~unt of heat generated' in the cabi~ trays is calculated for a teniperatUre of :

-:/* 90°C. A function is then*created that can determine the heat generated at any layei..
temperature. This function will be used during the solution of the heat transfer equations where the.heat generated by the cables iS calculated usii1g tJ:ie* conductor.. '.

. electrical resistance corresponding tO the actual layer temperature for 'each of the.

. three layers_. :. -*. *.:.... * * * ;. __. *

t

~ .~. Solutl(>n of the Heat Jrqnsfer Problem .. ~ '". "... : Th~ variou~ heat ir~sfer e~u-ation~ ~e fust stated as a series 9f functioris. Th~$e :.... :* -.. . * *::. equations are* then solved to give the conductOr. temperature. First the he~t :~ *... ~ * *

.. * *. -. dissipated byradiati()n from.the cable mass is ~yen as a function o~ th~ surface temperature of,~e cable mass:.

'_ ~

~.:*' <

,.. I ~..., * " ~ The functio~s:for conV:~tion: ar~ more complicated; -First, a function for ilte Grash.of

number iS~written uSing the functions for *the characteriStics of air deseribed earlier*

.... _ ~. ~ ~. ~ . '.and the defuiition of the Grashof function. Next, the function for the Rayleigh *_. * ". number (pro"duct of the Grashof and Prandtl numbers) is written~ 'rhe. function for. the N u*sselt riuniber for the top of the cable mass can then be Written. Thls function * * * *- * * . -'... *..... has 'two definitions, one for lannnar flow (Rayleigh number less than ax 106) and..,, .... *another. for turbulent flow (Rayleigh number greater than 8x 106). The overall heat. . * * > transfer function fo~°<~orivectiQn from the top of the cable mass can then be ~tten : ' based on the defurltion of the Nu~selt number.

. ' ~...

:..... =

1.... ... *~.. I**"*

~*

,.... *~..... .. ~.

- ~: \\

EA-ELEC-AMP-032 ATTACHMENT 8. Page 11of13

"Holman-~ec~mmends that the.characteristic length. of an irregUiar object be taken *

,_.* lis. the ratio of the ;n"eato the perimeter e>f the object. The.characteristic length, ~har of a cable tray of width vrand length 1 is: ~, _. ~. 1

l*w..

. char = 2(1 +w)

*. ** Note that the two tenns *for the* Width (the characteristic length mid. the. area of the~..:

. **:: cable ttay per urli.t length) cancel each other out. . ~. ; ..: ~'

._ ~... '

. ~.. -~ .. The function for the overall heat transfer from the. bottom of the cable tray can be

_:_.., > *C *~.. : *,~

.. :.* ~ttetl'in a*siniilar manner, except.that only one fiqw'regime needS to be:--... ~:... '..,.. .. :.. _**'considered. Two alte~ate forms of the heat transfer function are ~tten, but ollly'.* ' ... Qoot conv is actually used. Qbot conv~ is' an alternate function that ~ only used for comparison with an alternate solution method.

- * ~

. -~

1

_:. *:*_._A solv~ bl~kis.now.usedto sol~e the heat transfer equ~tions; The~ equations f~rthe, ._.

_. temperatUre. rise through _the cable ma.ss. are written based on lfarshe and.Black's.. *
Equation 6. This _equation. crui'be derived as the superp.osition* of t~e-temperature".

... rise through a mass ~th uniform heat generation per unit voluine (as _was done in. :. _. *:. : theoriginal Stolpe method) and the temperatlire drop from conducting the heat *.*:...

- '_,.. _*;, *. generated byth~Jayers illside the layer u,nder consideration~ The. soive bl~k **.* :

.. _,. *'.* ':....* calculates_ the' sUrface temperature: of the cable mass and.the temperature i.J:lside. -* * :.. :*, _ * * *the "cold'\\ "~arm"~ *and "hot" layers~ d;.. _,. ***~ - :.. : ::. ~: ~.

. *_The iast. step is to inc~~o~ate.the ~ffect of the fire stOp and/or tr~y cover (if.

.. ::. present)'.. The conductOr temperature rise;* which is the temperatUre difference. .:, between the hotlayer and the* ambient temperature is multiplied by the :.... '.. temperature factor (in thiS calculation 'always 1.00) that corresponds to the fire stop -* ' * -~* : **.* or tray cover type in* question *. Tlµs modified. temperature rise is then. used to **. * . ' calculate the conductor. temperature. at the routing point. The adjustments for:.'*:

. *: >. *. *covered trays are based on tests that were performed at Braidwood 'Sta ti.on ~d

~

J...
~

-~*..;* . -~ ~ ~ ~.'. -* '~. -~--.*. r,,* ~-.. :- ~ :: ) . ~-... ". ~-...

. (. i. ~ *

1 * *I EA"'.ELEC~AMP-032.

ATTACHMENT 8.

Page 12of13

. * ~eported in an Am~rican Power Coilference paper:(4). when fire stops and. tray.... .

covers are both p_resent, the temperature rise will be higher than if only the _fire _ *
.*stop was present. However, some of the heat whose dissipation would be restricted.: *.
.by the tray covers can escape through the opposite side of the fire stop, provided
*
there are no tray covers on the opposite sid~. Intuitively, the additional temperature

.* rise* due to tray covers on one side of the me stop is about half of that caused by,,.. tray covers on both sides of the fire stop (i.e. half the15% derating attributed to * ..covered trays}: The l~yered. model used in calculating the.maximum cable temperature in a 'cable ., tray is an mterim step ill estimating tlie inaximum temperature of the cable in a. 'cable tray wiih random cable arrangement. The final step focuses on the real cabie.. ,... tray - not the layered model ~ considering the random layout and lo~ding. *..

. distributi9ns of the cables in the tray.*.

~

L

~* > . The temp~ratUre of the '1iot" cable layer that h~ been calcwated abo~e represen~ '.*..,. . the m*axiinum cable* temperatUre m the tray provided th~t the cable' loadings as a *:, '.. percent of the ICEA ampacity ratios of the hot cables. are Within a reasonable.*. *.. *. "' *~.....

.**threshold of the average loadiil.g of these cables b8"ed oi;i the field testing as *

. reported iil the Reference 2. Cables With higher foadirig ratios than _this threshold.

will have a higher temp~rature than that calculated for. the ho.t layer and cables: * *

.~

... ~thloading ratios beio:w this threshold will have temperatures below thaf,...

calclilated for the hot layer. The temperature of the most h_eavily loaed cabl0. is ~: * *
. ',. calculat~d by. adjusting the temperature riSe calculated for the hoi layer With the. ** *
* *., * '1*

. ratio of the cables heat 'mtensity to the heat intensity corresponding to the.. *

: ~. :*.. :._.

. :: threshold ctirrent. This is equivalent to multiplying the temperatUre riSe 'of the hot... ' - : ' : ': :, layer by the square of the per unit ICEA current ~f the cable to the ~eshold per,_

unit ICEA current of the hot larer.. *

..The th~eshold. current WaS seleeted to be.20% higher than.the average hot layer per... -~ *... .... unit ICEA Current; Th~ use of this threshold value is conse:rVative smce it limits the*.. ;.-.. : _*:.*.. *~- '.,,. credit taken for,~the.teinperature averaging that'takes place*in the actual tray. .. * *...,.* iiistallation ~-'a result of random cable layout. If_ the loading of the illost heaVlly: . *'-: _... loaded cable d~es not exceed the threshold current~ the cable temperafure is taicen,

.*. * '... '.~.... **<

io_~be the temperature-of.the "hot"la~er. * ~* . n ~ . *. *~ *. _. ~.:.: :. ......... ~. . *.. ~

~"'.. * ; *.

References>, * :~

--..~ *
L* : :Stolpe; J.1971.;Ampacities for Cables in Randomly Fille,d Trays. lEEE- *. ** -...
*Transactions on Power AJJ.arat~ arid S;>stems. 90 (May/June): 962-974; *.;,...

2...*. Bl~~k, vi. z; and Harshe, B. L. 1994. Ampacity of C~ble~ in *s~gle Op~n-Top.* ~.... *. ~ . :' *~ ... "~: :*

. *~

EA~ELEC-AMP-032 :

ATTACHMENT 8. . Pag*e 13-of 1~. .."(

. Cabl~ TJ:oays, JEE~. Tra.ns*actions o~Power DeliVe1'J. 9_ (Deeember).".
3> *. Holriian~ J. P.19.Sl~ Heat Tr~riS/er: (5th Edition; 4th Prlnting, 1983) New*

York.and Tokyo: McGraw Hill Kogakusha,°Ltd. * "4. *... " Hadd~d, s*. Z.;.Bloethe: W. G:; Lamke~; D. C.; Stolt, H. K.;*_and.Sykora, G. ' 1982. Tests at Bra:ldwood Station on the Effects of Fire Stops ori the.* *... *..

** * * ~ -.*.,

Am.pacity Rating of Pow~r Cables. Chicago: Proceed.ings *o(the AmericaTi * * . Power Con/er~nce*. * ~. r - ~ 'Pabich,.J. :M. EA,;Z0-93~001, "Fire Sto1l' ber~ting Facfor *calculation"*; dateci * *

* *November 24, 1993, used as basis for the_ development of EGAD,;ELEC-05.. '

.. "Thi~ reference was filin~d ai Consuiners Power as. EA-.ELEC-AMP-027,° "*~* , ~-.* ".. (

cartridge no. G633,Fame no.' 1703...

, 6... : M~asra, I. :Bj~~A~ELEC-AMP-038 "Conductor Temperatures Inside* and*; - . ; O_utSide Fire ~tops"~ Dated D~em~e~6, 1996,. __ '*. .*: :-1:->:- N~tUsed .. \\ ~. i

8~ : *<Not Used.

.*: * *: 9.'.<, Auip~clfy:of Cables in.Open-T~p Cable Trays *~*-WC Sl, ICEA**~-5*4-440 (Third *.*.

- ~'..

- ~

* *.;Edition), NEMA WC 51-1986, :National Electric Manufacturers Association: * *. *":* * ~* *
.'.: 19). 'Brand Ind:tistrialS~rvices; Inc~ 1~76. "BISCO ~pacity Test Perform:ed at.. * *
** * * * *. Portia.rid Gement ASsociatiori, Test N_o. 9027-10.~ Elk.Grove Village, Illinpis:*:
~

.. *.'"'. -* ~~~(fin~usn?-al Services; Ilic.* * *

*. ** -~ * :. :."'..

~-.*-,.. **:** ". ". i:

~.. ***

~ **..* +..-.,... :

.~: -,
-~-... ~. :._-
:
1*

'*:-*.J.

. - * :,. *';.. : -,.~ : :

~~-.. * ;._*:. ~- 'r /,~-~..:.

~.

".. ~~,... - 't' ~. '-: '*. .~

* ~-.

-~.-- ~-,~

.r

~. :. -* *. '.. :-,,, *-~,- ..~ '.. .... ~ _,.... '..... r ~

~. *.. -

.. * ~***. .-_:_ *-~*.:.. . ~'

)'-*.
**. J
~

v .* 4*

1.* *

~ *.. .. ~ .{* .. :..~r . ~-*.. -

-~--

~ I i.*.: i* ~. /, *:....... ":~.- . ~. " . ~ ~ '; -~. _. ~ -': :~

./*

EA".ELEC~AMP~32 '. ~... -:;. :. ATTACHMENT 8, APPENDIX A Pg. 1 of 1. '2. ".TYPICAL MATHCAo*ouTPUT: OF 'HEAT TRANSFER MODEL-. FOR:. CA.B LES...,N. CABLE. TRAYS . ~:~'.. . i*.... ~.

~

.. ; ~.. -....... _..: -~*. .. :.* ~ *. ~-.. -'*.*~ "f

EA-ELEC-AMP-032 ... ; r::1 *;:; ::.;;~Ci ATTACHM:ENt'B~:;APPENDIXA Pg.2of ___ _ CaselK013

Cable Tray Emissivfties E top. = ~l.95.. Top surface of cable tray
. E bottom =. 0.(i5 Bottoni surface of cabl~ tray

~ E top + E bottom

E mean -

2* .. -E mean - 0.8... Emissivity used* for cai_culation~ . Break Points Considered for Selecting Hot Cables . SreakPolnt 1 :; *J.o BreakPoint 2 = 0.8 BreakPoint 3 -~ 0:6 Maximum Loading for "Cold_'.' Cables * *. tv1ax~c61d *= 0.10 . Physica_I Width of the T*ray Fire Stop Cod.es;_ *

Q_.:. NO fire stop *
1:--'".24" horizontal concrete
2-24" horizontal Kaowool 3__: 24" horizontal silicone f~am

~ 24" _horizontal double sided ~M *

caulk*

. 5-24i' horizon:tal single sided 3M *

caulk.
S-.:. *24" ve-rtlcal coricrete. * : - * -

w p.hysical =:. READ(tidr_naine)* I.-i~*physical = 12 ;iri 7-24" vertical Kaowool.. Fire. Stop c~*de

. Trc;ty_C6~er co9e_.
a.::..:.. 24" vertical ~ilicone fo~m*

g__:_ 24;, vertical double sided 3M caulk. ** ..... _ ~ f.ir~_Stop_C_qd~ = 0. Tray~Cover_ Cod_e: > /...'.,,,.. 1a-,:..24" vertical double sided 3M caulk. C_able Mass Resistivity p mass = _400* K* cm-watt . *Ambient Temperat~re .J a"1bc :=.40.0* K °C. 11-12" hririzontal concr~te.. '

*. 12__:_ 12" horizontal Ka6wool 13-12" horizontal silicone foam...

. 1 +:--. 12" vertical concrete.... '

. 15~ 12" ~~rtical i<a~wooi: *

...16~ 12'! vertical silicon~ foani.. ~.Allowabl~ ccindiJctor Temperatu.re: *.

. ** __ Get the 'cable data from _an external_ file :_ T *. * * * *.~. ~- ~0

. k. *oc. . '.*:*. *condC

Cable_data = REAPPRN( input_file ).

.. Tray Co.verCod&s --~_:* J. ~ ~.t~,~~ > "'. *-...... .* :-:... -*... :~;~;...

Data_:.Siz~ = roY.is:( Cable~dat~) Data_,~ize =. _1~:._.

-~ *:

d-NO Gov.er*

'*,i' -~* - . Data_Jndex * = 'o, i :. ( Data~size:.*:::' I ) * <.. : *-~ ~--::: *. 0

1~ Raised Covers *** * ~- *.

2....:...*c1osed Covers ~. '. ~ ..., ~ Index array 0

t.* d.*, >.Data ind~x. _: *.

a a_in ex ~. . Threshold Fa~tor for T~mp*eratu*r~ of '.'Hot;, Cables ;.. *. ~ F Threshold ~ 1.2. ' * ..'/,' .. ~*

\\

~....

~.

~ -~:.. ~. '.. ~ ..,,,~.. I ~-

EA-ELEC-AMP-032: u.*:~i :::, '>-. AJTACH.IVIENT 8,.AePENplX A Pg.3of ___ _ -~kup T 0 ble for Conductor ~esistances at 90"C (See Sargent & Lundy Standard ESA-102) l ~ l I

4 6

8 9

10*

Ii 14.. 1.-- .. i. 16

i 1 ro I I..
:\\ 2'i'o

.**I .. l 250 0.0161 0,0203 0.0324 . 0.0513 o.o~i8 0.103 0.130. 0:206 0.328 I. I .1 . o.s23 *-*I I I 0:0128 : 1

0.0101. I

'I..

1 *300 Table~size = 1 310 i

-~.:.

.135.o
. 1 **400

.I 0.00542 1 *

Ta~l9._r~sis.*t -~1 ~ ::~!._ *.

1 1_._.. ':_o*._ 2 -.. ~ .. *_.~-.-.*.1 .::.. 0.00389 ~:::: I * .J 4(0 1** 500 600 J 750.... . -..1000 .1250 ,.

1500* *

-"':, ~.

r. ' **

1750 1922 192~. ... 2000* .~: **, ~j'. \\. ..:~. ... 0.00275. 0.00231 0.00187.

0.00144

_;*. **:' **:: ~.0.00119' O.OOlOJ

0.000913.

. 0.108' o.21r -.,.J . ~:. : .. ~-. c* 2500

._;** *.* ~- '.

. 0_:00083,1.J**** 0.900723. .. ~.._.... :.:.,..

- ~.
- ~*...

~ 1 *, . \\-. .:./!.. ... ~. ~.. . ~*. :.,* . -:.,. ~ ~ : .~; .I- ~ .... *--~-. ~* .*.. ~).

.(.

. **mp~ratUre Factors forfir9 Sto~S FS_ Temp_Factor ... ~.. ~. I I 1.000 1.06399 l.23 l.23 l.23 I ~23 1.22098 I l.41 1.41 Cover_Temp~Factor - j' i* 1.41 1.41 r.00000* 1.1'4 l.14 1.00000 1.3 r 1.31 \\. .,~**.

-*.... *~'*;.-.~
-i

,*"f" ~-1~* ~ ) *

1

",(.* .~* :: ~ :. ( 1.00000 \\ =* t.10803 I ... 1.38408 t EA-ELEC-AMP-032 u *.ATTACHMENT-a:: APPENDIX A Pg.4of __ .~* '* ~~:.,.

', ~.. -:
.r

,\\* . __ t. ~-...

EA-ELEC-AMP-032 : ATTACHMENTS* APPENDIX A Pg. 5 of __ Miscellaneous Constants . g *,;, 9 so7~m-sec~ 2 *..A.cce1eration due tc:> gravitY Stefan-Boltzmann Constant

a = s.669* 10* 8 :i.vatt*m-2 -K-4 ~folm~n. *page 307.*

. Conversiori *between. ~c and K * . CtoK -~ 2t3.15.I(

Physical Characteristics of Air_,

The characteristics oJ air are given for ~n assumed fl.Im temperature of 60°C (333k)... Thermal conductivitY.. *

k*air<T~.'T2) =_9:029*watt.'m~

1

K-1

Kin nematic Viscosity

~-.

5 2:.. ; I v.air(T1 '.T2)

~-1.928-10_ *m:_sec * ~ oh.ime coefficien1 of expansion. _/.*

P{T-~a'*Tb}*:.=* 60:*~ ~ ct~K-_:
*Pr.andtl Number.

. *pr ai~-(T1._.T2~- =. 0.100**,.-:_ :. -**.

- Get Basic Data about Cables. i~-Tray *

~:**, Cable_~ize -_*:: -~able..:..d~ta <or_>

_
T a~b:.~ T a~bC + CtoAmbient temper~t~re in Kelvin *

,

n cables ocal>le~da,ta <;;~

2

/:, /:!cone! ; T cOndC + Ctol~~nductoi terllpOratuie in K~lviri **

h_:_ cond~ctors =: ~able:_data. '.:. *

.- ~ .... < ~ >-*,°. :* Cable_d1a = Cable.:.... data *.._1. m:--. <*s*> -.. **. '... :*.....'. -~.

. I load = Cable_9ata
_.. I_* am!?. :.

...

R cab.le"~ -: * * =.-lin~e~p(T~bie_~.i~~;,Table~;e~ist,Ca.ble_size0 t.. d*.

\\.*.. ...... :. Data_index . a a_in ex I '1, *. ,J' . -~:**.\\ ~ :.. \\

- _-..)

.*... :. ;. ~ ~ l** '~.. ~ *'. ;

_; _* 1-

~-.. *-: ~.. ~ -

:* i

. ~*.

EA-ELEC-AMP-032- .ATTACHMENT.Bi-APPENDIX A. . Pg. 6 Qf ----- . Physical Depth of Fill (Data.:_size '-- I) --L.'... **. ~-:cablesi*(Ca.ble_di.ai)~ i~O boF physic~! = -------'~-__,_,------DOF physical =, 1.678 *in. w physi,~al C~lculate the. Heat Intensity according to NEMA WC51-99SE(/ ICEA_P-54-440 (1_986) - 1: Note: The forml_Jlae used.in this section are taken directly from. NEMA WC51 to ensure* th.at the res~lts match th.ose in the standard.* ,DOF*1cEA = DOFphysic~I Ta:mblCEA =:T amb .. Calculate.the Sl)~ace temper'citure bf the cable.mass as a function of heat g~ne.~ation -: *.

~..

~...,. 1-.".. a:*Pma:ss:ooF ice.A..**.** ** *.. *.

- Ts ( Q). = ~-cond :- -.

.. Stolpe, Equation 5

.. 8*W physical

-~. ~.. *, I

s.

.NEMA WC 51-1986/ -~.-(T-0*TamblCEA) 4 . ICEAP-54-440, a clCEA(T) = 0.223.*watt-ft 2*m 4*K 4 I

2:w physica11p_endix B_

I ,,.. :1 ".. ... *. *4* . 'II physical ... :. *~.;:* :.. ~._ ~eat dissipated by radiati~n. ~..

~

, <<.. >:?~:-<< 8 4 /-~:*~*ICEA*P~54-440, . (J ICEA: = 0:530* IO-

Watt*~--: is*. }. : _Appendix B.

..;--~"...... *

,1._.: ;;_.... - :*

i:: * *.

0 f.:_, * * "' * . :.~:: . * :_*... ;'::~.<<; __ :-_:~:~:*:~~~:.'::~-- ~*;~~*::~*._. * *,..<*:-: ::~> * *'

,
Holman, Equation 8-43a for _.: '.,...

9 rlCEA (T) = *0. lciiA-~:~ea*~~.( T4 -: T ~~blCeA~)*2*w physica1::ompletely enclosed in_..:* . :NEMA WC 51-1986 / * - a large area*:

- °', **.,..

. : : ~ *

*;-y;..

~ -.; ....,~ ~;>;'.. -**. ~ ~ ':. ~ \\ ~ '--'. -

.1* **

~. J..

~*.. ~

.).. . ~- ..,. -.... ~: :. - ;*. ~;.

EA-ELEC-AMP-032 ATTACHMENT 8, APPENDIX A., Pg. 7 of_. __ _ Find the he~t_dissipat~d-by th~ tray to.give rated conductor tempera_ture.

Given
_.a totlCEA = Find_(.O te~tj.

.

Q totlCEA= 64.682 *w~tt* fr.I

. *.Ts (Cl totlCEA) = 3°48.448. ~I( I . \\ I: <:l clCEA (Ts.\\ Q totlCEA)} = 20.617 *watt* tr. .***a.~lcEP.. (T~ (a toi1cEA))* ~A3.465.*w~tt-fi-1,, \\

a.
- HI ICEA:'=**

. totlCEA *...

.., * * ' *. DOF_ ICEA' w physical
-_;.,Hi ICEA = *3.182~w~tt~*in-*2 *;~:

1 S~olpe;~ Eq.uation '7' ~

~- -*

.. / -

Calculate the IC$A Ampacititles of.the Cables.. _, :.

. :..., :. -~'. The NEMA sta~da.rd treahi cables. assq1:1ares.

HI ICFA 2 * - *

= d*

__

'::'...._:> ccupying ari area of d *

"*~*,/:n*R IC~A_ampacity(~, n_. R)
~,.
- ~..

f.. . '1cEA .... > ICEA_ampacity(C~ble:__diao t *:. d 'n_c.onductorso t'.*: d" 'R cable.

. '.\\
Oata_rndex

_a a_rn ex.. _. a 3-'".* ex. * "

. Oata..,.rndex/ *
- ** -11oad 0
**. *d'.. "

I *.

ata""'rn ex
ICEAu... * * * -

Oata_rndex I ICEA :. * ~:: ~-* . ~ -~* .~ - , _._-.;]~:.: Dat~_indexc'*,,,~ *:.**.>>*: *.,* __ Find the: Loadin.g o~_-the *Ho_ttes! Cabl~ ~nd Select the Appropriate. Definition for* a "Hot" Cable. ;. _:_::_.Hottest> *~~x(l 1:~~~1~.tt. ~-'~, 1 ~ 7 ~*~.-/::. - c_, -*...

o_~s

_..~cutPoint* =: if (!"iottest.. /eieakPoint 1 ; Br~~kPoint 1

Bre~kPoint2)

CutP~int.:=. if(Hottest~BreakPoint ~.CutPoint; Br~akPoint 3\\

9utPoint = if(Hottest< Br~akPoint 3, ~ottest;CutP~int)
- CutPoint =-I

~..

.... ~- *=.
i>'

. *r* i --

r.*.

~ *' ~. : ; ~.. ~:- ~:. ~

t.

.~.;

. r:.-;

o' Y'* * .... -~- ~

*. EA-ELEC-AMP-032 ArrActiNieNt-s~ APPet:Ji;:>ix A Pg.Sot ___ _

Hot_s-etD *1 -.. d..

~ it (1 ;CEA~ *.

.....:CutPoint ~ 1.6, 6.o \\ a a_in ex_ . 1

Data index

\\ - I . NumHot = :=Hot_set NumHot = I Number of cable groups in hot layer NuinNotHot = Data size - NumHcNumber of cable groups not in hot layer . M-ultiGroup' = NumNotHot> 0 Fiag indicating some cold/warm

- * *
cables.

NumNotHot = 27 . *

Tlie effective tray width-to be u*sed in the. model is equal to th;' sum o.f the diameters of the hot
.. c~bles plu~ half of the actual depth of.fill. The upper bound on the modeled fray.width is the.

. physical tray width' plus hal(of.the depth of fill iri the physical cable tray. . ".* j2* *~ Data..,..size.,.: 1 ** * ** ..,.. -~ j2

w

.*"'1 Hot seCn" cables.-Cab"le dia. +. DOF physical model = L:J - J . J. J 2 j = 0 "w ~odel. = i:969 *in

D9,F physical

'* w niode1.. - = 2.1 l*m.. .... 2.

- '~

j . w ... - : *~ 2. 969 ~in'. . model* *. ...... -~.. . In order to add cabies to the c~ble mass poi~ters will be developed.so that the hottest and coldest

c~bles can be added in. order to the.cab.le mass. The. pointer: matrix will consil?t of the element..... *

.* 'numb~r in the. original cable vectors (the pointers) in the 0th cofun:m. the load.current in per unit of:.

the ICEA ampacitY in itle* 1st cOlumn, the number. of cables in the group in the 2nd coiumn, the_ * '..

. "a~ea occupied by th~ cables in the cable g~oup in the 3rd column, and an artificial index used for ::.

**sorting in the 4th column. The co.lumri of ICEA ampacities will be modified*as to force th.a hot
cables to the.bottom of the matrx after it is sorted~ The cables that are not "hof 'will be at the 'top of.. *

'*

the column iri order of desce~ding loading *i.n per unit ofthe ICEA and descending area occupie.d. *

~: : ~-.. Pointers' tor warm *cablesS'::-_.:**,... :..,*.>:. '.' ..' :.-. ::;-?_'~;'. <*"*'" ;*_",:\\*

. ' WarmArrayD 1 -. -~,.. ~.~.: Data_indei(,

a a_m ex,

-r::. "

-*.. -. *~t;.. :* . WarmArrayD-t. d t -= I 1cEAu. ; a a_m _ex, _ Data index

~.. :

~..

c.
t* '*.

_~-. ~:.. " . '. -~*.. 2 *- ".

- - ... *. *fi~cablesD ~.'.* d. * (Cable_diaD 1. d )..

. WarmArray a _m ex a a_m ex...

Data index. 3
2 *

~.I *in .**. M.ax~A.r~a * =:max ( Wa~~Arra/" 3 > )

Max_Area = 2.52

' ~ ~. ~ ' --~ *.-. .. *;-~.. '. ~.. ~ *, -~..,/* ~ ' ~.,..

/.

~ . r."' :'

EA*ELEC-AMP-032.. ATTACHMENT 8, APPENDIX A Pg~ 9:io{ . :;.,::... i. ; .rniArray _*.. *.. ** :_=.if(Hot *s.et *... - -~O -oo floor(_IOOOO I WarmArr*Y0a.,_;,du.> \\ Data_md_~x.4.. ~. Data_mdex . ICEAuData_indexJ +. :... Max_Area -.J.

WarmArray03;a~i~~~~.:i = n~cables0ata_in~ex.

WarmArray * = reverse ( csort( Warm~rray, 4) ). ( NumNotHot ~- I)

- - 1 *

.Num_Warni = ifl MultiGroup,.** L if(Wa_rm_Arrayi,t>Max_Cold, 1.6).o_l 1 i = 0 J Num_IJVarm = 13 \\

Num_Cold. := NumNotHot - Num_Warm
Num~Cold = 14.

Most~of -~ if( Num_Warm> Num_Cold, I, -1).. 1 if more warm ca:bles; -i ifmore cold cables Most ~f.,,. if( Nuni Warm;: Num Cold' 0 'Most <0 if th~ sa~e nu.mber ~f warm and. cold cables ~... Most~of = _...:!

. _ Select the number of alternating.warm Max_Alternate : =-if( Most-of> o 2. Num Cold 2. Nuin ~arm~ cold ca_bles to add depending on

-:-.. wnether.the warm or cold cables run Max_:Alternate = 26 out first *.. * * .. *.:start out selecting cables to add alternating warm and ~old cables.

*1 ~he ~upply ~f one or th~ Othe*r runs out.

=.o ; *2.. *if( Max_Alternat~ > o, ( Max_Alternate _- I ), o >*. * . ". : Add Pointer: = WarmArray. * * * *

_ --~.-_

. ~ ~-*. 1,:0*;* -.: (.!:) ;oWarrri Pointer 2 NumNotHot = 27. * ~ '*.*: }; ~,* -~-.\\ W .A

*
NumNotHot - I :_ Max Alternate = o.

. A,dd.:._Poi_nteri. 1. = arm rray(.) .,~ Number of Cables in Group -:~ ~

= *if[ MultiGroup, WarmAr~a. "(*.. * * : *,*.* i.)*.**. o ! *c* l.d*c. *.. b** 1*
*P : *t. * *.

' NumNotHot - I..:.. -

0 *.

0 a e Oin er .. 2 ' *. . '*. -_.>..* *.. ~-._ -..

:- Add_P?i~ter( i ~ 1 l 1

~=.if[. MultiGro'up, yVarniA;r~y(.*

. *.:.._.- : i). o ! N... *_, b
_.--- f.
c: *.* bl. * *.

G*** - : *

NumNotHot-,t-~,2 um ero a esin. roup.
. *.. -.. ~ ~-..., *..

~~*~:*,..~ "*: -* ;-_:_ **.-... .* 2 . ~.. *.* ...,... *. ~,._... -~/ ,, __... : /'!*,: *> * -..... -. ;:: ~. < Fill up the remainder o( :..

the.array with W~UfT! or

-.. iii :=: o."\\.. if( Nur:n~co1d~~ru11_W~rfn.. ~~ ( Nu0Not_Hot. ~. _1 _ Max~Alte~natel~~ables ~~pend_, ing _o_n: '.

-... *~..

... * *. ~. .. wnat IS left. iik.. : = it( Mosr of=O

o* iii + MaiC' Alternate\\.. * *
~

111 .* Smee Mathcad 4 does not allow placing an.1fcondition~*.

~

-* : ~:*..... aro~nd a block*ot code, we will use an index.here: If there

are the s~me number of warm and cold cables,: we filled the

... *... *-.* ;~:. . pointer array already, so this" if will cripple the following. -. .. statements in that case by only re pacing the 0th element . *~: .. ~*.. ~ with itseif.

~

EA-ELEC-AMP-032 ATTACHMENT.8,.APPENDIX A i.f.. *..' .i.

Pg.10 of ___ _

d_Poir)teriik... 0 * = ifr Most_ of> o, WarmArray(*** Max Alternate)* , Add_Pointer fiik... 'J 0 l *. Ill' 111+ ,0 \\ Ill ' \\. 2 J - .Add_Pointeqik... 1 =. ifr M()s(_of> o. WarniAr~a. -Y f... Max :Ai;er~at~'\\..

Add_Pointeriik... 1 ].

Ill'

111+

.,2 Ill' \\ 2 - /. . J Add_Poiriteriik... *0.=.if[Most_of<.O, WarmArray/ Max_Alte;nate *.:.'..,Add_Pointer;ii-k... ).O

1 1 * **

111' * ,NumNotHot-1-. -1111.0. .\\. 111. . ' \\. 2 . J. . Add_Poinferiik... 1 = if[ Mo~t_of< 0, WarmArr~y r * .- * * * *** * ~a~ Altern.ate. ****' , Add_:._Poi~te. riik.... -r].. 111* ., *...*.. ~NurrNotHot"'." I-2 -111).2.. .111* . S~t up pointer for hot.cables*. *..

'. k = o,)

. (Data_ size - NumNotH~t ~--.I )

kho~ _; _k + NumNotHot

.~

caicul~~e-.a ~~ctor of d.epth~ of fill for vc:fri*o~s numbers of cables. added in the o~der spei::ified by Add.;...Pointer. *

. Just the hot cables. :

( Data_size_.,_:-- ~rtlNotHot :- !_) 2 .. 1-J

[ 9able-: --dia (~ot_Poi~teri) -] * ~-~~~l~s(Hot-:-Poi.nierj).

j = 0 DOF hot : =-. _-..:,------.- .. _.,..._ -----,----'--------,-----------,------~--,---

w model.

.... ~

. ":~.DO~: hot ~.-_o.so:;*in. Hot cables alone -

. *. ~_: .. DOF trial = poF hot. The 0th element of the vector represents just the.h~~-~~bles _o . ~ ~ ~ ~-- I Max : ; *if( MultiGroup, NumNotHcit; 3) ~

-. '.:**~

.... ~ ~... ~*

__ ~:.. i_:= (2.. IMax

.._, ___ :_~~~_-_,_*._*.:_T_:,(*_.* ~... :.. ~.-.~ ... i~.-*~4* ~:.:. - .-~:*.*. .. *.* ~'.... r*.. )~ :. . : *'.~. CaiCuiate. the depth of fill for the ct*)rTibined*group.. adding one cable group at i:i tim~*: *:.*.\\-. : <;... ~\\ \\"

. _ooi= fri.ai"° := D<?F h~t :..,.

~-* :~. 1* I l ... '... * *:_~.-~ _ .. *.. '1_. [ C_ able~.dia[A.dd_Po*. inter:* . * *J*) 2 *n_c~bles[Add_* ~Poi~ter...* _].* *. ** 11 ~ .. (J-1},0 (J-1),0 ....+ if MultiGroup,-* 1'--.. =_J,..----~---------------.,.--~-, oo*m I 1..... . w model* J \\.* . r_,*_.*. * /*~*..

~ '

. t.: ._ :*1

~-.*

.... :~~.'

~

EA-ELEC-AMP-032

1**i < 1 :::i_

ATfACHMENT!S~iAPPEND,XA Pg. 11 of------ Look at the li~t to fi~d-the if1dex of DOFtrial that is the smallest that i~ greater than or equal to the. . physical depth. of fill. This.indicates wtiich cables.ought to be added to the ho~ ca.b!es 0 NumCables.,_in_Set = NumNotHot+ 2 +.

L *

if(DOFirial.:.:ooF phy~ical*-*1 :*o) *

.. \\ . J ~.. j = NumNotHot -~ . (N~mCable~ in.c... ~\\ *'.. is_even = N:u_rn(:ables,_m_Set.., 2*flo.or

. ~. 0.. 2

~ =is~ern =~~. ** .. 0 if value is even . *... no_:_more :;-_ ( NumCables_in...;..Set-:

l)...:Max_Alternate no.,..more = O

..-: 0 if alternating c~bles left' . bump.:=. is_eve.n + no_more NumCabl~s.;_in~Set'. ::* if( bunip=6: NuinCables_in~Set.+ 1*: NumCables~in~ Set) . Put an upper limit on Jhe number. of c~bles in th~ set i~ 6ase the co~nter g*oes ~uf of range due *

. to round off errors..

NumcablesJ~_ set *.<it ( NumC(:lbles_in~ Set> ( Num.N,otHot ~- i ), ( NuniNotHo.t +

1 ), f\\fumCables_Jn_ Set f. * *

. NumCabies~in~Set =9 Hot cables'+ number of warm and cold gioups to. be ~dded;* 1 mearis hot cables orily, 2 means hot-.. ~. : * ;-*.. '.. **.. :J cables + 1 war*m or cold group, etc. ~.. ' Oo'F tri~i'.. *. : *. ... _. * *(NumCables_in_Set~ I) *W.. .

DOF model,. *~.

.:... physical *., ~ L

r.'

~' ;.

';t

>.... 1 * ** ~. * . *.. :* Calculate thE! depth. of fillofthe ~whofe set as a check on' the logic.. ~ ~*. *~- *.. :.'.' * ( NumCabl.es_in_.Set - 2)

if MultiGro.~p\\: **~:... (: *E.

~- -... ~ r Cable_dia[*~ . : <o~)] ]2* n_:_cable~[(

. -<O>)]
.-*.*.*.<.:._**-:._-. **:..... L..

1Add_Pomter *; o' Add_Pomter. j . *.:.**. **::*, ::.....*,.~:. '.. r-*:*.J ~'"o,. ~*::. * *..( NumHot "" l ): *. * -,

.... *-.~*.

.:~ Z:> _* ~-* [*~~b:e:-dia(~*~t_Point~r;) J2-n-~ables\\~ot_~ointer;) _

~.* j = 0 D~F model

- - ~

c w model '..'. ~ ~. . *.DOF ni~del =* L678 *in. - '.*::.. '*{.

. DOFmodel -:-.DOF physical*= O*i~

.-i f'.:.. -\\ 1;.*;_ ~ :. ' ,O*in2 ~- . *..... j .:.. -~

EA-ELEC-AMP-032. ATTACHMENT 8, APPEr-J[)IX A. abli~h Separat.e Lists off ointers fo.r the Variou~.Categori~~.of c.ables

**
Warm Cables

. Go through the.list of cablesJb be added and count the numbe~ ofwarin' ones

by.. brute fore~.. (Not elegant.* put probably the mos.treliable way.}_

( NuniCables_Jn_Set.-: 2) *

- 1** *

.. '1

. if[l 1cEAu[(*..', <O>) ]>Max_Cold, l,Oi.*** L.J Add_Po1nter 1* j = 0.. - *J ' NumWarm r.. ~ if[ N umCablOs Jn-: s_eL I. 0. NumWarm= 4

- (*.

-~. ' c~1d cables** * -~

*Numcold.= Nunicat::iles,_in Set - i :::.NumWarrAllow *1 for hot cables, then if it is
not Warm it has to b~ cold....

i [ NumCold = 4. Cal~ulate t.he Depth.of Fll(and He_atGerieration at90°c*toi-Each Layer ofthe.Slack Model

. Hot catJle~

Calculate the HeatGen~ration

~-.

~- '.- ;.,.; -~ - Nu;.nHat -:-

1.**

~

- . ri'
~.<t. *.
-.~... '., _,..

-~. ~ *. :....

- ~... :

~ .. *.~*. . --~-./: .. :.:* ~* '--~:

~:~.. ch ~ a * * ~ (234.s.'i<* -' CtoK ~ T\\
h.ot
, hot90C 234.s.. K + 90. K

/ ~* .. ~. ~' _beptfr of fill '.*. ji.. '

'. *.~. *:, L.:*: n_c~bl~~.{Hot_P~i~ter;)*: ~~able _dia (Hot~Pointer;) Y

...,*~OF hot' {j ~,o_~:~. .~

-<?",
- ~. :YI m.odel

...... £??F*hot.. ~~O-~~i~!~~ Warm cables ~. /. ; ~. .... Calculate th:eHeai Generation *.

,.:r:-.:

... ~-~ *. *. 4

, -.~-
r-::

~*-. . : ',l*.

.. ;~*....

.. **~..:.*. . *- *. ~..... 1 *

~-
-~

,T;', ~ : - ~ *' y

- - * **** _:~ -

~

~ '-} ' ':-1 - -~~--- ~. < ' ~; ,j2*=.if(NumW.(irrri~1*.Nu.mWa~m>t'.*o)_.:"<~ . j2:. *.... ;. arm90C > ~ ~_cabl~.~[* (:. :.. :. * <O~)**.. J.*

n~~onductorsr (

,. *. ~o>) ]: [I 1o~d[. *(* *. *... *.. ~~->) ]****]2 -, R~'cab.le[. (*

. <o>)**. ]...

~,. WarmArray. j . I WarmArray... i* WarmArray . j WarmArray .: j j = O* <:.*,a war~*9dC =_.it{N.u~w~~m~-?~*ci*warm9

0~_.o.**w~tt~tr 1 )

-~. - ~* - <'.

~*

~ *' --.* :*. ' -,.. -~.

- i...

. ~ ~ ~ :.. . -~-.

.. ~ '

. -~-,. EA-ELEC-AMP-032 . ATTACHMENT 8, APPENDIX A. -a.**.:* {Z34:s.K.**_ ct~K +r)

a warm(T) -

warmsoc* \\. 234.5-K+90-K. .. I Q warmgOC = 7. 999 'watt.ff.

w inodel DCH' warm =0.938*in
Cold Cables.

Calculate the Heat Generation j1 : :'.:N.umNotHot.- l j2 =if:NumCold~.l. NumNotHot-Nu~Cold;O) z: =O.watt-lf t

a,=if Multi~roup, *f ~~cables[( :

<O>\\ i*n_co~d~~o~*[.(.. ' ~O>)' ]***[I 1oa~[*:(.***.* <O>)'.))~-~cable[~( <O>)].z] . ~ :.

j = j1 WarmArray.

. j J:., W~rmArray.., j WaIT!1Array j _. WarmArray j _._ ~ i' ".: ** ~ ~ ,. '. i . Q co.ld90C = 0 'wa~*ff ,. _.. ;~ ~Q"*. ***/234.5.K-Ci~K+T\\ '. a c~ld(T) - cold90C"'. 234.S:K-t-90.K. .. -~. Depth* of. Fi.II

**. ~

,. l \\ D_OF cold :=il(Nun,:iCold>0.,D<;>F cold*O.*in/.

--*~

~........ .*: - ~. 7:._ - -. *t.. :*.. ~.. ~:-..

Function for Radiation from th!3 Tray Assembly as* a Function of Cable Mass Surface Temperature*.. *

. ~ ... -* ~ . Holm.an; Equation 8-43a *

. :.. -:*t. -**

oc*.' ~ .*. ~ ~' :.

_ ~ ;

c, .. **~

i-.

-- ****-* --- -------~:...---------*-~ EA-ELEC~AMP-032

ATTACHMENT 8, APPENDIX A.

~* ~ 9*P{ T1, T2j.(T1 *_ T2 >-\\~r Hoimah, Equation-7-21 Since the length of .Gr( T1 *.. T2 'w) - 2.. -. c the fray is much larger than the width, take. ~* afr( T1,: T2 ) 2 . *.. the characteristic length as Yiw. . Ra( T1, T2,w).*~ Gr(T1, T2, w):Pr air(T1, T2).*. Holman; Equation 7-26 * ~

. ~-

. Convection from the fop surtac~

Nu~selt Numb.er ~:- . -~'* . ~' *.

*. ~--
'Holm.an;

. Tabfe 7-1;.

Equation 7-25 ... ~. ' ' ~..

Overali Convection..

.Nu top( T1.. T2, w) *: * * *. : *.* ._.*._.-.. a. top_-'_conv<T .. }_,:T_ ?,w) -.. _ * *(. .. *k*air<T1,T2HT1. _,, T?> ~.:., ._ ** Holm~n_, Equation 5:42 .:.*(Since ttie tray ar~a /: *.. . *.. per' unit_ length is Vv* ....,-2' *),... *.. ~hew in the .~-. denominator for the f

, ~:

~ ~ -- *,.. -*.:.. ~ ........ expression for ti-i~.** . canceled out

- 1

~ ~-: *; --~J ! ':~

i

.::~.

.. :... d..

.Nu b~ttorri (T1, T2.; -.Y) >* - :

Holman, Equation 5-4i, * *
: a bo_~7,c~:nv <.T:~,.T2 * ~-) _.= *.., :. :--_. ( l 1-

-- -.. *k ~;~< T1

T? H ~

1 *.:. r2 ) *.-_ :";:*::

(Since the fray area~. * *

~.. '~ -;~.. *: *:

'\\2/:*,: _ *
p~runitle~gthisw,

.:.* * *-~- ... thew.i"n*the:

~*

. *: c:. -.'."/., -::.. ' ~ ! * '*

.. denominator tor the

.. /

-***-~

R~(r1,T2.* w) 4 * :-->

~- *

Q bot_conv1 (T1:~.'.~~
Os. >.m.
k a;,CT1. T2) ( T1 C T2) *, **

expressionforh is *. <- *

c~nceled o~t..* :. * = *

.*:. ~* ... :~*:: -"-'~.*~:e-<~ffi~~~::::~?:~*~;y*:::. ~*: *:

- ~:~,'. *:*:.

l~titial Val~~~;~~ ~the ~ 0 ~rface,'co1cr~ayer,*Warm Layer, and Hot Layer-

.1,*,_.

.. **-.. ~...... *.-.. ' ~...... ~ " ."_-i... ~ . ~. ' -

" ~* ~- *.......

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

*.*\\: Tgs ~*Tam_b-~/*.K:'*:~~*.,:: ::..

Tgc'. = Tgs:~.;,o.i:K.. Tgw =:, Tgc + d.i*~' _

Tgh\\. Tg~+ 0. i.~*~ :. *:

~*.,.. ¥ ~ _..... ~*.~ *,.., ....... f.....,!.~-.' --~ ~-- *. =--*.. _~. '.' ..~.. -** w ~*; *...... . -~... * ~*... ""."i ~.:

c. '-.**

} ~~;-: ~'. *.. .. ~ ~.**.

~* *

.: J.. . * ~-.

- .~.

,.*~*: ._ ;*~* -* - _..t

EA-ELEC~AMP-032. Pg.15of __ "'iven.

.
Q hot<T9h) +

Q war~<:rgw) +.a cold{°Tgc)=Q:rad(Tgs)_+ Q top_cbnv(Tgs

T amb
w mode.I).:.

+ Q b~t_co.riv (Tgs

T amt). w model

.

T gc=Tg~ ;: _Y m~ss * [ ( ~ hot ( T 9 h) + Q warm ( Tgw)} DOF cold + Q ~old ( Tgc) DOF cold l

~~rs;* a0d . *. : *: 4'.w*model *. *... *. *. 2 - . E:~atlon 6 Tgw=Tgc+ - P mass *(Cl hot(Tgh>>_.ooF ~arm +.Q ~arm<Tgw)- DO~ war~).*

- * -4:*'!1 model

~ 2

'" *
P ~ass

..[)~F hot.. Tgh=Tgw :+.- ..Q hot(Tgh)"_... *

4-w
. *2 *
model.

. *1 ~ T surtace i *

i'..

':T cold . = find( Tgs,Tgc, Tgw, Tgh) .. T.warm'... i*:T ho~ *,..,

.. ~:

'c

i.
._T surfac~--= _335.59-.*K....

.. 0.C* Ca*b*.le Surface* * .. Tsµ"rface - Ctol( = 62.44 *K .

T ~~id = 339*206 *K ".* * : T ~~lei ~- Ct?K = _66.05?_ *~. ':

°C *

C9ld Lay~r*
. *-f war~-~- 347.84_ 7 **K*_. *. T

. *:. Ct. K '74.. 697. *K*** *. °C. W,.. L.. warm - _o =..

arm. ayer T hot= 349.093 _*K

. T _hot ~ CtoK =)5.9~3. *K °C. *Hot Layer T hot_layer* *= *r~ainb + FS~Temp_FactorFire_~t~p~Code:Cove.(_ T_emp_facto~Tray:cover~c~de**(T h()t-~ f ~~b) *- t_hot_i~y~r-=}49*?93 *(_*. * * :*.*. 6TFs *-~-:r hot_la~er.:.. r_h~f ~-

* ~,'r
* * ::ff hw ~ "i" hbt - Tw~rrri*> :.:... *. * *<<.
- ~.: ",

T ~ot~la~er *_ -~toK = 75.943 *K._°C, adjusted fo*r_fire stop. < a.iid(TSurta:~) ~ 1*iiJs*waf ~"1 :.<*: *.. ~ I" I *.

l

... 0. top_cor:i~(T*s-urfa~e

Ta~b* II! -~od~I) :*3-6.99 *i,vatt-tr k air{T" surface* T amb) = 0:0~9.*watt*m*: ~:. *:

-: :;:*: *a*bot_co~v(T'_s~*rfac~~.~ ~~{ ~ ~~~ei) -~ *2~247,*w~tur 1 Pr ~ir(T ~urfac~*. +~mb) =.0:.; *.. ... :. -*~.. .. a warm (T ~~rm}.~ 7;622 *W~ti-tr i *.* : -~ *.. ;:*.... ~ *~

~-*.

... ~ . ~ -~. -~; -;~ -.~ .. ~

I. '*£~~

l'.**. ~.,_. - *.

.. EA-~LEC-AMP-032 -~TT~C_H~ENT 8_, APPENDIX A.

.* *::, :::, '*PAGE '1's *b1F
Q h~t"(T h'ot) = S.36J*watt*ff.

1 . * * !ff hot ;: T ~ot_Jayer :-: T amb ilT.hot= 49.748 *K. . a_ hot(T hbt)

1:-t,I hot -

HI .. *.3 5*4*6*'... tt.-ft. - I... '2 . I 2 HI ICEA = 3.182 *watt*ff.:*in* w modei* DOF hot hot= *.

wa.

_*in.,_ /. *.

234.5* K - CtoK + T cond

- /HI hor--... ~ 2~4.5* K - CtoK -t' T hot 1 av hot = JI HI ICEA I Thr~shold = I av~hor.F Threshold. . I av~hot = 1.o79 ~: ~ *.

. *: I wo;sf = max j*1 ICEAu). I worst = l.0?9 Loading of the most heavUy loaded cable in pe.r..

unit of the ICEA arrlpacity * . :. Get the index of th~* m?st heavily loaded cable*

' TMa(_lndeic *:: reverse (c~O,rt.( aug~e~t(l_ndex_ar~ay, I 1cEAu): I ::~Max~Jnde~= is

.. ~. '. ;

-* o.. 0 '

. *..

_.* :Estim~ted: tem:pe~a~ure ~fthe m_ost heav[ily lo~_ded cabl~ _. \\ {... r

~ exp~-~ic*~~ =_ i{1.w-~rst>>I Thr~shold I

!\\T h()t' {I_: I worst. *) + T ~~b* I

T riri1_1aYe~

1 1*.c. CtoK*" .,.l... , \\.Threshold.. T ~xpMax = 89:74_8 *I(. (°C) ..... *_Display : = augmen.t( lndex~ariay,*Cable_data) * . ~ Display '. * '* = I *

. * ~

. Data_index, 7. ICEAu 0~ta_inde~

1 *...,,

~.- '

~.. *.~...
-.~:
_ _._

.. ~ ~.'. ~'

.. ~: .

-~.. _,:

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

r

. '~-

. "- *~:* "

... -~..... - F: \\..... ~..,..

~.. ~

~I '1;*

-~.*'-..

, '*~-.. --~-. ... -~*~ -~- I; . _< *.: ~ .._ *~ . ' ~ *' . :~--

jUting Poi:t Da:: I 3 058 0 008 *b 0 l / . I 10* I 3. 0.58 0.008.. 7 0.423 I 2

12.*

2 0.48 o.oo.5 o o. I. 3 12 '4.** J 0.49. (i.cro5. o o I . ! 4 12 I 3 0.49 0.005 6 0.54 I . Display ~ ; "5. 12. 2

3 o.52 0.005 o

<o * ! ._O. IT, l ! 6. I 12. I

3 0.52 Ci.005 2

j 7. 12- -1 :* 3 0.52 0.005.* 3 I

8.* 12 I. 3 0.52 0.005 *4

0.254 I 0.339 *.
. i 9 : 12.. 3 3 Q.52 0.005 7 0.593 I 0 12 3 3 0:52 0~005 1.0 0.848

.11 14 7 2.. 0.37 0.003_ 0.. 0 12 *14

1 2'-0.37 0.003 o o*

1 i

D 14 6
2 o.42 0.003 o.. *o 14 i4.

3 0:45 : 0.003 :*o o* . 15. 14.. 2 3. 0.48. 6.d03. 0 '*. 0

... *
i6. ::14 * *_ 1 __. s a*.6 --~*-~0.003** o

-" :o.

17. 14.. 4. 5 0.62 0~003. : 0 : 0

~ -

18 14. 4 1 b.64 0.003>>0*::.. _o 1 I 19 L4 J 7 o.64*. 0.003. s

0.664 I.'
20 14 2
7--.0 65 'o*ocn.. 6: :* o :..
1 ***;
21

~.* 4~ ;. :o:~-4

__ q:o5_:( 5~,:*-~o.908 j '

'22*. 2.;. ~4. I*. 0:44' 0.052 55.** 0.998 I I 23 4. 3:- :1* 0.37 "O.OJ3 15 0.409 !. * *

. 24 4. *. *.. 3_..1 o.*n ;_.03.f*: 26*

_p.._709 l *

'* ::_25 410 __ 3*1 :<<o..7-\\. *0.1~6 I7\\' L079 i: . l26 8_._. r,3 _o.~~---0.013_2 -_ ___ o._o66_1_--

27. 8 L~.3 0.84 _().013, 26 *, 0:86 'J

. ~:

~- ... ~. " ~. -: '.. ~..

r.

~ * .. : \\ I . /' ~ . ~

..* ~.

... ~ EA-ELEC.;.AMP-032 i; ;::! '::~:::,ATTACHMENT B~:AP:PENDIX A.

Pg.17 of __ _
Col. O: Index for ide.ntification Col. 1 : Cable Size Col. 2: Number of Cables**.

Col~ 3: Number of . Conductors per cable.

Col. 4: Cable Diamet~r"(in.)

. Co{ 5: Copper Area Col. 6: Load Current

Col. 7: *Load current in -Per *

. Unit ofthe Cable ICEA Index of the.Cable.¥Jith.

; *the High~st Loading:

.. TMax.:...Jndex = 25. * . Maximum. Expected (°C) : .. Temperature in the cable Tray:.. :, : T expMax = 89.7 *K

Threshold Current.:*. **' *:

1Threshold =.L295 * ". l* ~ .... _ ~,--.. ~...... ' '... --~ ' ~** ~** ". ~' . "*:* ~ :~.... _.: ~*. .*i** ~.. . -~;.. J.: .*-?,'*. ~*

. *."J

..... \\

- 'l ** *

.. ~

*.'r *-:~~'

_;:*: "( -~

- 1

. -, ~ . -~

- .'-*l

.'. :.:. ' : 1 ~:

. \\; 10 10 12.*.. "i 1

. 12 Cable size =: 12.

12

12*.

.12 12-12*

14.

14 14 14 '14 . ' ':,* 14.* - ! 14

.*- -:- j4 i-14

'<f 2:: 'j_., ,, 2-_,.. ' 4 i:. r 0.0013 1 * " *1 l r 0.0013 I .-. I I 0.00206, :'I I J. -.I **6."00206-I. ! 4* _ * * *." ! o.ob2o6 -- *J * '.. -~cab.le ~ j 0.00206 :-.1 1 ~n-tr 1 _n_cables_ ~I z 0.00206 * - .I -"I., -~ ~: 0.00206*. 0.00206. 0.00206.. . 0.00206 0.'00328.. 0.00328 0.00328 0.00328. 0.00328. . 0_.0()328

'!°~:~~;~::*. i *-.

-I 0.0032~:. I-;* -- -1 o.0_0328. -I : I 0.000203 . 0.000203 **. I 3 3

7.

I . I 6 i.

1.I 2

r i

4 I.* 4 3 EA-ELEC-AMP-032 ATTACHMENT 8, APPENDIX A... 3 3 2 I l' l 3... ~-.. . n~condudors *:.:

3 _

-~ ' 3 I i** 3* 3 . 3 3 2

2 2

3 3* 5:... " 5

- .a 7

\\: 1-7 -, -.*

. If r

~ " -. O.Ob0324 0.000324. ( ~. '~ -. -~". . 4.* I -.* *1 -'..: 410 i -1 O.OOO~q-39: *:. ~, * . I __ : : 8,, i" I.

1

..., 8'

. - L

'. -.:J. . t

1

~~~~::: j ;; ~. : .. ~ '*,'*. : -~-:

---::;ir*.

-* ~*.. .. -~... -~. ' ~ *~. . ~ :.. *. ~.-. Z'!. -* ~**.. . ~ ' . c .. ~.. 3' !. 3 1-I J .1 ~ *- 1.. 3 3- .-*,.r-.

l

.-. _J ** _*: ' *** *~: --.... '.~*': ,J..., '~.. ~* ".'. j

1

. :~*.

- - ?.'

IO i IO' i I I2 _. -r 0.5*8 J~::: 7

o i

I .I Cable_size - i 12 I

~ IGable_dia =

0.49 '0.49. 0.52 *in -.Io* 6

.J load= 0

. *amp . **. ~ ~.. ... ~ I2 I2 Ii. . *.*.. j. I2 *I I2' 1-i.. i . _. i 410 I

[

-

8 :. *l

-1 . '1 . *' 8. I . ~-* L *. "-~ - J \\. -. ',' ~ ~ ' .0.52 6.52 0.52 .*_:i 0.52

I 0.52

-1 0.37

'I 0.37

0.48.

0.6 ..... 0.62'*' 0.64 .0.64*. 0:65 (f44 -~:'.. I OA4 . '.I OJ7 . ; -_,:.1 *0:37,.- -. i*:0.11_." T~::J . *-i.;: 2~~~ I'.* *::--** ~: ' ~. ,\\ i 3

4 7
io 0

0 0 0

o.

o.

b '.0

5

.o.

50 55 - 15

I,.

I I I I !-* I I - -.* 126_: I 17ll_ I I 2

1
l 261
1 EA-ELEC-AMP-0.32 ATTAC.HMENT;B~:APPENDIX A Pg.19of ___ _
~. ~ :-.

~ *.:.. -~ I ~..

J

--*../*

~ *.' ~ r, -~ .., ~ ;. ~.. *.. . ~ :.* " ' -~ ,-{"

\\. . l 10. .*. i 10 .;. I~ ; .12 *. i 12* Cable....:.size = i 12. i I j* I

i... i

_ 1 12 I i 12 --_I* .i'12 .. i* 12*11 I.. I 12:. I 14 J. i i 14 . ! ! 14 I 1_6.567. I.16.567. i* I i-

1 13.339:
11cEA =

. 11.119

1. 11.119 I 1:799 11.799 11.799

.. 11.799 11.799 . 11.799.* f 0 "1 I .. I _ I 0.423 *

1. 0 r

.I 0 i
! o.54
1
amp i 1cEA~ = \\ o
0:17_. **1-0.254 8.149 I.*

in49 i 0.3.39 0.593. 0:848 0 9.: I I* 9.25 I 0 .I H" 8.092 0 I 14 -! 14 I : I i. 14" i.

i.

14 i 14*.* !. 14' ..... ~ 2° ' 2 4 '*4:: 410 i.:. 8 ~- J'_ 8.632 i.' 8.357.. : 8.636.

J 7.534

. 7.534 . 7.652. 55:087 . 55._087- ~6.667. i 36:667: !' I* I . 158.436 i ~ ::. ... j 30.247 *_.'I 30.247 I . ~. :.. '. ** ~ ~i_...* ~ ~.... ~;

~

.J* ** -* 'i

- *. ~ -..,

. ;_:.... ~.* ~. . 0 o: 0: . j. I 0

i I 0.6.64.l.

I o I 0.9081 '0.9981'

0.409

..., I ~:~~:l 0.066 0.86. EA-ELEC-AMP-032 A TT.ACl-1NJENT 8~ AP~ENDIX A. .1. Pg.20of ___ _ .- *.. t' .,.~*. '. .~.... ~ " ' : ~. ~ .. r>*'. :.. .. ~... .""l ~*..

" /*

.. = ~

EA-ELEC-AMP-032 ATTACHMENT 8, APPENPIX A . *; 1 * -*

- 1 *; Pa_9e:21-or *

L.::.

22 0.998 4 0.774 9.984* 103 l *

... I

2.1 _ 0.908.; 4:_. 0.774 9:0:~* 10 3

-1 i 27 0.86 0.706 8.595* 103 ! 10 o.848 3 o.81t.8.47s*103 1* 24 0.70~ 3 0.411_ 7.09*103 WarmArray = ' 19. 0.664.:

1 0.41
6.636'. 103 i.,

9 0.593-3. 0'.811

5. 932* !03 4

0.54_. 0.24 5.396* 103 ! I 0.423. I. 0.336

23 0.409 3. 0.4 IJ
8 **. 0.339 0.27 4.*215. I 0 3

4.Q9*lo3

1

.1 1 3.39* lO* i.. The warmest cables are at the top of th.e l~st an~ the coldest cables are.near the. bottom running to (NumNotHot-1). The hot.

.**
cables are at NumNotHot through (D~ta_size~1).* (Mathcad numt>ers array~

. beginni_ng with O in c. style.)

1*

0.254 0.27. *. i.542* 103 .1 . Warm.cables will always be taken out of I. WarmArray from the top down. Cold

- 7

. i 6 0.1? 0.27 l'.695* I 03,

- cables will always be taken.. ~ut of
. -i 26 0.'066.

1' o.706 *661.28. .1 1

WarmArray from the bottom.up: *

<.<l,'.1 1

6 8 0

0.

72.52 f.* _; 4 1.638. 0.<55. ~ : '~. -:.... !*.11'.o. 4 1.5~8 0.61 I.

1' 313:00

"*?.1.058.0.42. ... 4 0.96.. 0.381 i 11 0 .. 7 0.958. 0.38. i. I 20 0. . 2 0:845. Q.3~5_ ! s *

o <.-, ~ i. o.s41.. o.. 215 * *

. *1. . i -IS o*. :-, 2. 0.461 0:183

.:.-1>*::*~.

!*'o. o*. '*1*~ 0.3J6. O.i33. **1 i i:. o:,.*:.. - 1-0.2? 0:091 _ i*\\ -_ I i 4~ -0.. >.., 1 **O 202. 0.08 :_.... I ...... **~ I

- **
I I 12 *"o' ': : ; *_ 0:*1-)7 o.os4 * : ! *,_. *.

.. ~~;.. I . I *. l 2s _1.01?>.3 '1;5*12. _*_1 *'103~7 _:. r .. -~. ;*

. *~.

,.. > ;?., *., ;

-~*,*::. ;~; ~::.>*-: .". '*, *. -

-*-<!_.:..:~,~-~-~.. *.*'f.:.~--~-.. --.---*- *.... - .~... ---.-. - .~ ~

~-i..-:*-..,......_... -:-...-~-.

~ ',..

-~~.

~. *,. _;' *~. _.. \\...

,._ J,*

. '~

*~

....... ~ .. -~ ~- :~

l

~. -,; ~..: . ~*

. 0th column is pointer to cable data. fat column is the number *

of cables in the group.

r 22 :*r-1 12 I I I~: 41 27 "I I. . Add_P61nter =- 2

1..

10 3 0 I 24 3 15 7 19 I I. . )~. - 2* I Hot_Pointer = 25*.*

-~

i.*.*.

)

. ~- ~*. *, ~.; I. I .. :I 9 3 I

. I *io

21... *

4. I 1.1. 7 i

i.

I I I I. + I "j 4 J -**, 23, 3 !,. I. 13 6 I 8 I i- , 17* 4 *i 7* I . ~*. -: 18 4 1..., " 6

r

-~ - *.

' ~; -....

._.. ~> :-.; ,.. \\ ~. ./., . *~. '.=~ ~.

*~ -.

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

1'

~-.

-~-' -

EA-ELEC-AMP-032 ATTACHMENTS, APPENDIX A_**

.: :-*i Pa'~l22*of F*NAL *::r.

0.5.091 0.77 0.816.

I.Oil . 1.145 . DOF trial =. -1.383 * *in .. r'"** 1.461, 1:734

1.847, 1.. 985' 2:141, i.279 2.461 2.734 3:018 3;.099 3.422 3.535

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ML18067A635

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