ML18067A635
| ML18067A635 | |
| Person / Time | |
|---|---|
| Site: | Palisades  |
| Issue date: | 07/09/1997 |
| From: | CMS ENERGY CORP. |
| To: | |
| Shared Package | |
| ML18067A634 | List: |
| References | |
| EA-ELEC-AMP-032, EA-ELEC-AMP-032-R01, EA-ELEC-AMP-32, EA-ELEC-AMP-32-R1, NUDOCS 9707180079 | |
| Download: ML18067A635 (51) | |
Text
{{#Wiki_filter:I 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" 50 Pages 9707100079 9707ag5~ PDR ADOCK 0500PDR' ,
- l. p . ..J ---,:"l
'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. INITIATION. AND REVIEW .* Calculation Status _ .. Preliminary. a . Pending Final Superseded
- a a a
- Initiated
- lnit Review MethOd
- Technically Reviewed Revr Rev 1--------~ Appd l----.,_-.,...-,..,_-+---_...;.~----1 Appd CPCo
#. Description By Detail Qual By . Appd B *.Date Alt Cale Review Test B Date Ricardo
- Jon 0 Ori gi na l *fssue Hernandez :;/_;B/q7 ~ b R x. Nehls See Description Below
"' *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: Attachment 17:'°-" Analysis 61 ?~0 c*. Cable .Installed in Cable Trays - Above. 30%. Th.reshold *_: Attachment 1 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 . EA:- ELEC.:AMP-032
- .* lflflWUUllli.
MICllJ&Aln l'flllliltBI .
*ANALYSIS*CONTINUATION SHEET.
*.*. . Sheet --2.._. Rev # __.1_*_
. Reference/Comment 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 160% 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 IPC 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 fire 7stops.," . , * -- ..*
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~ . : '*" .. * '. * *' :,:
.-~* .. :
~. - . ..._
.. 'PALISADES NUCLEAR PLANT- ' '* ' . ' ' ' EA-' ECEC-'AMP~032
ANALYSIS CONTINUATION SHEET
*
- _ Shet:lt *~ Re\f #
- 1 * *
..
- Reference/Comment 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 *. * * .. *... ',
.
- 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 ... .. .. > *..
0
' . .* -__ . conduits in free air i 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 EA-. ELEC-AMP-032
. - ANALYSIS CONTINUATION SHEET -: .
*sheet _A_ Rev#* 1
- Refere /C 11 *. * -. ANALYSIS IN~QT (co~tinued) 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. - .. d
*Ill .. 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'
*
- PALISADES NUCLEAR PLANT . : EA-* ELEC-AMP-032
. *ANALYSIS CONTINUATION SHEET Sheet~ Rev#
*1 -
a/Comment 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 *:: '*.:*:
.. '~ *.
CBITE.BIA~;~? ;: ~- ' -_* ACCEPTANCE .*** ..._. :. **. '. ;_*_.c IV. * * * * .* * * *** ,j. *
.
- I *
." For ~a~h':aff~cted 'ci~a.ble ti~ys*; cortipadson will_ be mad~. betwe.en the. . -. . a . __ .
.*. ' 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~ review a *'* -
* *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. percent a 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 : . *.. ' . ~ *
- 7
... cc:mtiniJously: energized powe(cables. in trays. exists);:~. . ..
.' * * * ,* * * '
- L~ ~ 0
.. *.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. MKlmiA#'S NDfYrUI - ..
- PALISADES NUCLEAR PLANT ANALYSIS CONTINUATION SHEET :***
EA- ELEC.:AMP-032
- Sheet _:z_ Rev # _*.1. . . _
Rater *
. 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*.*
Attachment 12. * * *
**. .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 * . *, . J.
*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. . . . . . .
.. ~' .
. PALISADES NUCLEAR PLANT EA- ELEC-AMP-032
. * * *ANALYSIS CONTINUATION SHEET Sheet _a_ Rev .# ___.,1__
a/Comment
. 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 .. FNDT77 :
* ..._, FMB-os". :. _:" -. * * - ::FNo-21 . ,_.
- FNDr78 * *-. ~ .
. FNBA01 * * .;. 'FND ** FNDT7s** .... .. ._.,
*. FND-15 *:. .~:
- FN.D-25**
". . MP2o't . *..* .. ~' ~ .
'. .: . FND-16 *. - FND-26. XP501A. ..
- :~.
- FND-17 :.. FND~86- . XP501 B _. -* . ... ...., ~
- '. FND-18 * -::.:.; i ... , FND-e7 .. - . . *". XR438 *. 1.~' *
**.* FND-19* . . ... -...... .
* :c._.
*:.~' . . -:* '.' ~ ---
* * * ** Utilizing th_e A°oipaCjty Progra~ii*. * * * *
. **_ - .. - 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 .. * ..'. ' r*, ,
* .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'- *** ~
- @).
~
eansamn-POWU .* llflflffllM9 PALISADES NUCLEAR PLANT .EA- ELEC-AMP-032 . :.*:. Ml/Ull&Aln l'flOGllUS ANALYSIS CONTINUATION SHEET * . . Sheet _£ Rev # _1_*_ Referenc IC m
- 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*. . . .,
*
- _ 1.
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~
* * - 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 . . .' L....--------------------------------------------------------...___......_________.._.,. *-
'*'. * ....*,. . .. ~ ":" .*
- PALISADES NUCLEA.R PLANT* . EA.: ELEC-AMP-032 ANALYSIS. CONTINUATION SHEET . . . .
- Sheet 10 Rev # __,,,1--'-
. . ~.
/Comment
*: 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. * . . * * * * * .. *-'
. Page 2 of 'Attachment 17 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 calculated terri.pe'rature a . '
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 0 c:. - ' ' . - '*' . '.' ' - .. .
. . _... ~ . . **~. . . . ..- .( . ' . ... : *. -' .' . .. . ."
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 .
- PALiSADES NUCLEAR PLANT EA- ELEC-AMP-032 ..
. l'flWUU.' ANALYSIS CONTINUATION .SHEET.
.-~~ l'll8Mi:D Sheet 11 *Rev Ii _,...1__
ment
*.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%. * ** . * .
. . Areview of Attachmen.t *, was perform~d to *determine the .ca.ble trays
- a
.. with 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 19:. 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_
~. -
- c .-* *-
.-. .* 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 cabh;,* is calculated based on the procedure* . a . '.-.
. 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~ * * *
- PALISADES NUCLEAR. PLANT EA- ELEC-AMP-032
.. ANALYSIS CONTINUATION SHEET Sheet 12 Rev #_ ......1__
eference/Comment
* : 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 identifies routing poin(X~456 .as having c(ilculated *.
I 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 17. .
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.--*. *~* :. * * -* * ** -...
r.
* * * ' * *.1 *, *
-**r
~ : . . J ..
. : XK456 .*.*> .* B08/Z2i1iL* * **: ........ *.
.**: **_ .. - ':~:_--*.*_-"* .PBS8/Y230A/1
- ' '. ~ 1.;; .:~~-: ~ .* z. . '~ .. t " *
-: f**:-: ** .....
* , .':*:-* ... *... ~* .....
. , ~.
~
~
~
';.,,. *....... . ' *~
. PALISADES NUCLEAR PLANT. . EA- ELEC-AMP-032 ANALYSIS CONTINUATION SHEET She0.t 13 Rev # _...1__
- _., ... Reference/Comment X. . REFERENCES ;;,
A.*
- Calculation DR.S-632591-1 "Determine capacity for all** .
transformers, cables,' circuit breakers, load centE!rS, and MCC's. P_alisades.Drawings ~nd other Piant Data* B.
*IEEE Pape~s (Attachment 13)
. ., C;
- 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 Attachment 9) * * ** * * * * * * * *-. ' .
-.. _.;. . 'G. ::: . Me~ting Notes for° meeting between R.. Hernandez (S&L) and B; a* * .. ' .. - .,
* * .. 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. .* .
,.*. '~ '. .
. J.: Reports from the. CRS *Raceway Database.*.* . *.-*.-.
- '\'\ '_ .: . .. ~- ;
. . : .
- 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"* * * * .. * .* * *
*@* co~n- ~ Pawer .- . :. *.
_ PALISADES NUCLEAR PLANT
* *' w EA- ELEC-AMP-032
. . l'flWUU.* . .* .... ANALYSIS CO.NTINUATION. SHEET: . .- . .
. -~~.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
- : .* *dated. November 1, 1982 *
- o:
Crutchfield (NRC),. 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 1612 Power. Cables; R~uted In The 413 , . H
- 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*
r."' . , *
* . * *, I ': ' * * * *
- _ , ** * : , **
.. - (.. -- : .. __ ; ~ *- :-" .. . .. -- *., - . --
. . 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* -':'. ~:" : , . . *'" .
-:: . *. - . Developme~t
*.7... " *: *:;-: . 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
"}
Attachment 12.:~ . 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 1S -*- . :*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
.' :.~* .... .*. *...
. -' . ' . . . . *: .. ~ .
;. ~ .
. ~...
. J
.~ ". ** ..: *.*,* _:
*. *:*. ; ~-
\.
... .**, ~~
':.! ,;*:; ,.j
~. ~ *. . . . -i :-.*
'"* "... . *~ ";**. ....~
. - . : . ..-. .: ':~ ~ :~* . ..
. . ~****-..
! .* ..~ 0
- .. * , . :., ~ , ._._ . ~
. . -~
' .' .-. ' "~ "* .:
. :,~
.:., ..- ~ *~*. . \,..,
. :~ ..-*~*:
~-- . ,,,_ .
.- ~ ... *..
,._.* ~. \ , ' . .
.... "':1
. - -.*;* *'; r.** .* .*'
': ~ , . . -.- . *.;
~ .
. *. .>~::.
,. ' .... t 1...------------------------------------------------------------.....
. 'l;. . .
. '* -~ .
~.... . ..... *'"' * ......
" .; *'. .' . .- . . .. ~
... '..... ~
EA-ELEC-AMP-032 ATTACHMENT 8
.Page 1of13 METHODOLOGY FOR.
;DEVELOPMENT OF - ..
- HEAT TRANSFER MODEL. . .:i FOR CABLES IN TRAY. ,-. .
-:~. *.
..:~ .
."r
- -J.
.. ~- ...
' 1 **
... \.. * * .:i.*._. ~-- *_,.
~©)©~~ ~"-:
*, ... -, .*. MAV:.O. 3 1997 LJ
...... .. - ...- -. -~:
ERc**~PAL' .
.l *. **
'~*
, ... -. o** . '*:
" *. ~ . ,,. :
.* .** : *~
* .Prepa~e~ By.~** s-i14~~~f . . .. ..*
.. ... ..:.. -~ .
By::U/A.~:
- .~ :* ,_
. -~
*. Reviewed
.i.**
- ~-- ...
-~ *.
'**' "'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. .* .. *, . -. ~- ~
. . . ~ . .. . ::. .
' . -~.: . : -**
* *****...** :.. "? ~ ,
... . ~ "'..
. . ~ . *..
.... ,: .. ~, .. -:
. .. ~ '. : ..,..
., ~ ,,. */* :* . ** *'**. : i_ . ~
- r. -.* ... -' . . --.~
. ' *.' *,..: .~-:.
_, .* t
**-....... . . . :*-~-~
... ,, .. * .- .*... ~
- ;'\' :. ~ *_ ,/.... *,,*:,: , .. *
~ . .. *- ..
'.:; ,, ***... <~ .... *: .. *..
.. . . )
*.':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_
- _.
**t'
.. . * . . ;*:~**.:~**~ .*.*.~._ .-:'.: - . _.._,.-~*::_*_.*~ .. -~--*:."** .,*:*-
. . .***: *. :. -.* ,'. -:*~-**~._-_.:~_'*: - _.: .. _: *.**,**.: ***-*.:* *.~** .. ; ...--~-
**** * * * * * * *.:" ~ .-:. ,*' .... l . . . . . .* ** ~*. ~- - . ... ~.
- ~ . ~- , ..- . . . . . ' ._ .. . . ' . .. ~. . . . . **:.
* "< * ' ..-=-- ... *. - ~ ._.\. ' . ~,.. . . ,* *** - * .:.; ' ** ' *. ' :: : . ' *_::. :
... ; . _~-: *.~~ ** - .... . ! *.:** . "*. ... . -".: ~~.'_,. .., . ,*_ '
.. . *_ *. *_ -.~- . ..~- . - . " ., . *:,:... ;***-:
. :' ..... . . ;: ; : -. . . '. .'~. ...: ' -. .. *, .'*
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: * . : * . *. . . .. . . * * . .* **.:',
~
~
warri)est large cabfos are selected first
~.. -*.* *~*.
. : -*~ -~
<~, *. ~~<:. C~ldest sJn:all. cable~._are selected first *
. I*' * * . * ' * * *: : * . * -. * . * * * ' ' *
*.:. 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 .. ' . . .' .. ' .* ... *'* .
. . . . . ~**. .
- ~ ...
- : .. : ::f
'{,. " .. _.* ...
- . . .i.*. * . .
* ' * . *i:
~
. . .f-" .
.. 'EA-ELEC-AMP-032
- !. 'ATTACHMENT 8 . * .
.-:, : **~*- .
- ~- . *. Pag(t 4 of 13 *
- ~ . .
.. *.*
- Introduction ; to..**the Mathcad Calculations * : . -* - .*
. 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*
~ .
,l
.* . " ~
EA-ELEC-AMP-032
. ATTACHMENT 8 Page 5of13
~ '
fuestop is present.} '.
* 'The_ thermal resistivity of the cable mass' .._
.* ' 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: ** --
., ,. ' ,C
' The number of cables in each group in the 1st colunin. '*.'
~
. *-~- .
..* * * - The number of conductors in each cable in the 2nd column~
- *, *r / . .. . .: ...
. ~
.. . . . ..... *. -.~ .- . . "':.
.* ** * * *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. - * * ... . . 1..:
.* 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. ' - '... ' .
.* 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 open air, -the fire stop " . . m
* .* 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 block 1 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 1 1 cEA~* *. * '
Classification of the *cables
-. . . as 11 Hot "Warm" *and Cold" I I 11 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.~ hot" cable is defiried as a 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 . ' . ' 0 ...
.. .index of a given cable is. known, Hoi..:_set can be u~ed to dete:rmhie if it iS a "hot" ...* .. : :
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 .
- !~!~: the variables In t11,e. equatio~. definitio~s ~e _d~fined b~-:th~ "Find~.:: *. . ...
and
*\ :., . -*~ .' . ."'*'.* . -... - .. . ' . . . .. .. - . ' .. . . > . .
. . ._.. . *~.'" ::._(.
' . - . . ': ~;. .
~... .
.. *. J* ::* . **.-.f .. * *' *:.:
EA-ELEC~AMP-032 *
- ATTACHMENT 8 *
- _Page 8of13 .
. Cables that.are neither "hot" nor "cold" are ~warm".* _*
. 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 -. This forces the hot cables to one end of the matriX. Warm.AiTay is then sorted.*.
00
- 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 warmArray wo~king towards the top. The range variable "I".
* * -* ~,.. .-*. controls
. ,.,, ~ .. . : .
the* addition of ' . . alternating. "warin" ~ *. . . .. and ~cold". cables.*
.*.* '_.~*
. ' ) :..
* * *. ' * -*.*_The ~ein~g "~arm" "~old ~~}Jles -~~ then added. This is controlled by the:: *. *or . .. . :.'; *
* * *.*.*..vector "iik"*. Avector is used here rather than range vanable*as it allows defeating ** :-.... :*. ; :* a
.* * .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' >' ..
' ' . *, '.' ,: : - inembe~ confains the' depth of fill with:' the "hot" cables plus the first tWo additional . --.' '
... -~.'.* . ._: cables be added, etc:>.:.,_
to . . . . - . . . .. . . . ~*
) . .. .
. ~* ~-:~~*,
*:*:*~* *-,~ *-
- *,: . - . 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 DOFtrial 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 .
- ' 1
.. ... ~ '*
.I '.
.* . -. :. ~ ..
'i.
;, *{'
' ~~ -... .
;~"
~
. . ~. ': .... .'. ,;;.
j* . :*. '*
..*. r*: *
.. 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 Num...:.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 . *. :*t
*. three layers_. : .-*. * .: .... * * * ; . _ . * .. _: * * * * * * * '.-**. * : ** ** .
. ~ .~ . .**-
Solutl(>n of the Heat Jrqnsfer Problem :
~ . .. '" . "... : Th~ variou~ heat ir~sfer e~u-ation~ ~e fust stated as aseries 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 Nu*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 irregUiar object be taken
- an
,_ .* 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: * * *
- l*w..
.1 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" . : r, ,*
... 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~ ** * ** * * * * * .- ,* *
.. . . .. : ; :. _,. ***~ :. . : ::. ~:
- .. .: .' ~ . ,;, .. . .
*.,_ )
*: .*_The iast. step is to inc~~o~ate .the ~ffect of the fire stOp and/or tr~y cover (if. - . *. ...
.. is d; ..
. . : . present)'.. The conductOr temperature rise;* which 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 'Stati.on ~d . *
. -~
~~ ~ .'
. *.. . ~ . . ' . . -*
; *J... *~ *:. '~ .
. : .. -~*..;*
. (. i. ~ ** 1 * *I : , . :L 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.*. * * *
' ,, .. . . . -. . , ' ~ ' . ... .. .. *.* '. ' ' . ' *... .,
. The temp~ratUre of the '1iot" cable layer that h~ been calcwated abo~e represen~ '.* .. , . .; , .:
m
. the m*axiinum cable* temperatUre 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.
at
' 1982. Tests 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,° "*~* , ~- .* .
no.
*cartridge 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 /,~-~..:. :*. :, . ** :* , . '" ' - _, * . :. *. *~. ., -*.. *': , *. . ' ..
* *-. <<" -- * ; * ~-. _*; - -~.-- ~-,~ *** * * ***** * ****** .- *'. ***:.-*
. ~ .: -* *.
. -.. - ......*. ' ' . . :-,,, *-~,- . .: - , :. .' *. ,. ..~ ' ..
*.r . . :..~r
- .*.._ *. ** _;'.:-. *...... v .*:,- *
.{*
.. ~~, -.**.
"":** ... . ,*,- 't'
.... ~
--* .* 4* *
~ . '-: '*. . .... ** * .**. : 1.* * .' *-
-,.; r
. ~
.. ~ * ..
. .. .~ . . . .. . . .
- -- .* . ,. .:* :-_. . :~ . *.. -
.. * ~*** . .-_:_ *-~*.:.. ; .: . . ; .
. ~' :. . . . :*. *)'-*.
*~
* **. J * * .. -
- _: ** **
"* ~
. . . ~-* .. - . *. *..: ...
*. .:.- . :;:;-~-- *... *.. -: ~
**:;-_._. : **::_.*: _.,.: *.** ... ~ . :.
. 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 Fire Stop Cod.es;_ * *
. SreakPolnt 1 :; *J.o Q_.:. NO fire stop * * * . . ** ..
BreakPoint 2 = 0.8 1:--'".24" horizontal concrete BreakPoint 3 -~ 0:6
- 2- 24" horizontal Kaowool 3__: 24" horizontal silicone f~am Maximum Loading for "Cold_'.' Cables * *. ~ 24" _horizontal double sided ~M * ; ....
*caulk*
tv1ax~c61d *= 0.10
. 5-24i' horizon:tal single sided 3M *
- caulk .
. Physica_I Width of the T*ray
- 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.
- 11-12" . hririzontal concr~te .. '
* *. 12__:_ 12" horizontal Ka6wool C_able Mass Resistivity
. - . . ._, 13- 12" horizontal silicone foam ...
p mass = _400* K* cm-watt
. 1 +:--. 12" vertical concrete. . . . '
'_: .. :. *~ .
. *Ambient Temperat~re ._ * . 15~ 12" ~~rtical i<a~wooi: * . ... * ... -
- .. . . .16~ 12'! vertical silicon~ foani ..
.. -~:.
~
' .J a"1bc :=.40.0* K °C. **_ *'
. *, , . . .. : ~.Allowabl~ ccindiJctor Temperatu.re: *.
*. ** __Get the 'cable data from _an external_ file :_ T*. * * ** .~. ~- ~ . k .*oc .
*_. , _* * * -. :- .. * -: __ ; :*.. . '.*:* . *condC 0 * . -~ *:
- Cable_data = REAPPRN( input_file ). *. : * .. Tray Co.verCod&s
._:_ *_ .- * --~_:* J. '* ~ ~.t~,~~ > "'. *- .. .... .* :-: ...-*. . ...* :~;~; . . . . .; .. "
Data_:.Siz~ = roY.is:( Cable~dat~) Data_,~ize =. _1~: ._.
'*,i'
*
- d-NO Gov.er* ..
. Data_Jndex *='o, i :. ( Data~size:.*:::' I ) * <.: *-~ ~--::: *.
0
- 1~ Raised Covers *** *~- *. -~* - . . .... .--*
~ .' . : .. . . ~ ' .. . , ~ . . . ." ' . ,.*... .... *...
2....:...*c1osed Covers Index array
- t .* d.* , >.Data ind~x. _: *.
. . . ... ~ . '..
- 0 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 T0ble for Conductor
~esistances ,*
at 90"C (See Sargent & Lundy Standard ESA-102) l~lI
*4 0.0161 0,0203 0.0324 6 . 0.0513 .;-_.
8 o.o~i8 9 0.103
- 10* 0.130.
Ii 0:206 14 .. 0.328 I. .. ...
.1
.. i. ,. 16 1.--
I.
- i 1ro I I o.s23 *. *-*I ..
0:0128 : 1 I .. *
* :\ 2'i'o 0.0101. I
.**I
. . l 250
. I
*: *,, ' . .. 0.00542 1 *
'I. .
Ta~l9._r~sis.*t -~1 ~ ::~! ._* ~ *_.~-. *
- 1 *300 2
Table~size = 1i-~.:310 . .
- 1_._.. ':_o*._ -.. .. .1 <'*
* .135.o *...
. '* . - .:: . . 0.00389
**400 1
~:::: I*
*. 1 " _',<
.I
.J 4(0 . !
- 1** 500 ... 0.00275. ':*.;
600 ..-: :':.: 0.00231 750 .... *.:. 0.00187. . ' .. ~ : J
. -. .1000 : 0.00144 ... __ , <:. .. _ .. -
-. ,.J
.1250 _;*. **:' **:: ~.0.00119' - .... .* *'* :'_.*.
,.
- 1500* * .. '. . O.OOlOJ -
-"':, ~. r. ' **
*0.000913.
.- . . ~- .
1750 . . \ . *:. ,.., 1922 .. *.* . . 0.108'
..:~ .
- .. .* '*. " 192~. o.21r *,'.
... 2000*
*'*,* ..... * ** ' * * .~: **, *** ~j'.
. 0_:00083 ,1 .J**** ... ' _,.
.~;
2500 :._;** *.* ~- '. 0.900723. . ~: . : _,_.....
- c*
' ... * . . .. ~ .... : .: .
. -,., ..... *. ** ~. *. '. *' .-:.,. ~
- .I- * ~
'*.*:-:: . ;*: . . . . *--~- .
**~* ... . ~*
- .:*. .:* .*. . ~).
~
-*. 1 *,
...... .:./!..
*.. * . \- .
... ~.
*.( .
. -: .; _, ' ~ ..
. : ' . ~* . :. ,*
EA-ELEC-AMP-032 u *.ATTACHMENT-a:: APPENDIX. . A. Pg.4of _ __ . **mp~ratUre Factors forfir9 Sto~S 1.000 1.06399 l.23 l.23 l.23 I ~23 1.22098 I 1.00000 \ I l.41 I Cover_Temp~Factor =* t.10803 I FS_Temp_Factor - j' 1.41 1.41 (
... 1.38408 t 1.41 r.00000*
i* 1.1'4
" l.14 .._.., ..
.. 1.00000 :*.
1.3 r 1.31 . "::*
\.
-< . ~ :.
- -* .... *~'*; .-.~
. -. ;-i
,*"f"
~-1~* ~ ) *
*, .~*
...~ ..~ .
; ..... '* ~~: ., . . *.**
;:1 *', ~ .. -: '. __t.. ~- ...
. ,~** .
... *.r
,\*
. .*: ;'*, ",(.*
.~* ::
EA-ELEC-AMP-032 : *,_
* ' * *:, :::. :: ATTACHMENTS*' APPENDIX . ..
A : Pg. 5 of _ _.,....-_ Miscellaneous Constants 9 so7~m- sec~ 2 *
. g *,;, . .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 ..
- 1 1
*k*air<T~.'T2) =_9:029*watt.'m~ *K- .. ...
; Kin nematic Viscosity '~. .
. l**
. *. .. ~- . ~ *' . ; '. *"
* .. . . ** * :* - *5 2: .. ; I v.air(T1 '.T2) ~-1.928-10_ *m:_sec *
. . .* . ~ *.
oh.ime coefficien1 of expansion . . ,
*_; _* 1- .....
_/.*
- 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_> a~b:.~ T a~bC + CtoAmbient temper~t~re in Kelvin *
- _* T
,
- 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!?. : . .: -;*
cab.le"~ =.-lin~e~p(T~bie_~.i~~;,Table~;e~ist,Ca.ble_size 0
. -~:**.\ ...
- R -: *
- t .. d*. \.* .. -** .. :*':.
. . . . . . : . Data_index , : , .: . a a_in ex I ~ .. ~ -
- .. * * *
- * i
... . . ~* .
~ : ..
\ -*
_.,*, '1, *.
**_-. .)
,J' .*
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/
4
-~.-(T-0*TamblCEA) 4 4
. ICEAP-54-440, 2 .*. I ,,..:1 "..
a clCEA(T) = 0.223.*watt-ft *m *K
- I *2:w physica11p_endix B_ ~-
. .. :. *~.;:* : ..
. . . . ... ... ... . .. * . *4* ...... :... '. *~* ..~
': ".-. * . 'II physical :.*, * * *' ,, .*
.. ~ ._
~eat dissipated by radiati~n.
. . .. ~.. . .. . *~ . :NEMA WC 51-1986 / * -
- . , << . . >:?~:-<<
8 4 /-~:*~*ICEA*P~54-440,
. (J ICEA: = 0:530* IO- *Watt*~--: is*. }. : _Appendix B . *. . . *,';' _ .. ,.*
- ..;--~" ...... * ,1._ .: ;;_. ...- :*
0
.... * ,. '**. ::-* '
- i:: * *. . .* * . **.
- f .:_, * *"' *
. ., . .... ~: :
. : .~: .*:_*. .;'::~.<<;_ :-_:~:~:*:~~~: .': ~- ~*;~ *: ~*._ .**,..<*:-: ::~> * *' *,* Holman, Equation 8-43a for _.: '., . . .
~; .
9 rlCEA (T) = *0 . lciiA-~:~ea*~~.( T4 -: T ~~blCeA~)*2*w physica1::ompletely enclosed in_..:* ***:
* , * ,. : - °', **. ,.. . : :
~
'* * *;-y; ..
- a large area*: : . -**
.... ,~
._ ~ -.;
~;>;' .. -** .
.-.... ' ~ ':. ~
.\
.. ~ '--'. - .. * .
* .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.
i -- .
.* 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. *.. . *r .*. ....
*:*HI ICEA:'=** . . totlCEA *.. . *-_;.,Hi ICEA = *3.182~w~tt~*in-* 2 *;~: 1 S~olpe;~ Eq.uation '7' .. ~ *' *.;
. . . . ~ .... . . . -* .. .*_*_._*::* ~
.. *: .. , * * ' * . DOF_ ICEA' w physical
- t.
- ~- -*
../ - **... * .... :* . :-._
- Calculate the IC$A Ampacititles of.the Cables .. _, :. .;
. : ..., : . -~' . The NEMA sta~da.rd treahi cables. assq1:1ares .
- HI ICFA
- 2 *- * .
IC~A_ampacity(~, n_. R) = d*
- _ _'::'...._:> ccupying ari area of d * *, * * *.. * . .
- _-: .* . :*
.. *** *"*~*,/:n*R . * . . . ** .* . . . . . . . ..:*
*,* . ... - *~ ,.
* * .' ' - * , ' . - * . *. ,.: *. * ' *' ** ~.. ".; f.. * : **
. '1cEA
.... > ICEA_ampacity(C~ble:__diao
- Oata_rndex . * . . * *-* : . :* . ,; -
t *:. d 'n_c.onductorso t'.*: d" 'R cable.
- _a a_rn ex.. . * .: _. a 3
-'".* ex. * " * . Oata..,.rndex/
*. ' .\
* .. ** ** -11oad * **. *d' .. " - -... * .~ -~* .~ - . :'-
*. * * ..: :, ._ ._ ..... 0 ata""'rn ex * . -* ' .. *.: ...
*. -. I 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 .; .
*~~x(l 1:~~~1~ .tt. ~-'~, ~ ~*~.-/::.
- ., _:_::_.Hottest>
- , _ _> . . , o_~s . 1. 7 . ...
. *r*
- c_, - *...
- _. .~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 * * ,*-
. ' *, . ..* *. r:.-;
. ',* *. ~ ..
- i>'
o' Y'* *
-~-
*.... ~- *=. . . . . ~
**. EA-ELEC-AMP-032 ArrActiNieNt-s~ APPet:Ji;:>ix A Pg.Sot _ _ __
** Hot_s-etD * -.. d.. :*~
. a1a_in ex_ . .
it (1 ;CEA~ Data* .index. ...:CutPoint 1
. . \ - .* .
~ 1.6 ,6.o \
I
. NumHot = :=Hot_set NumHot = I Number of cable groups in hot layer NuinNotHot = Data . - size - NumHcNumber ..
- of. cable. groups . not .in hot *. layer NumNotHot =27 . M-ultiGroup' = NumNotHot> 0 Fiag indicating some cold/warm
* - * * - *** cables.
--~ *.- .
.*
- 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 * ... - *
'* w niode1.. - . .. .. 2.*
*
- D9,F physical * .
=.2.1 l*m..
.. **. -~ ..,/*
* ' ** '~ 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 ..
- of desce~ding
. *.. ~ '*
- the .
column . iri. order loading
*i.n per unit ofthe ICEA and .
descending
. - area occupie.d. . ' ...
~: : ~- .. *. *-:._, .**: .. . r."' :'
Pointers' tor warm *cablesS'::-_.:** ,...:..,* .>:. '.' .- .
,* .' ' ~ ~.
. .' :.-. ::;-?_'~;'. <*"*'" ;*_",:\*
*. ' WarmArrayD -. -~, .. ~ .~.: Data_indei( ,
- a1a_m ex, *:-r::. " .., '. . "
. ,,* . . -* .. - . *~t; ..:* *t* '* .
. WarmArrayD- t . d t -= I 1cEAu . ; " *,... -
'* * .. *
- a a_m _ex, -' . _ Data index *:. *, .:.
. .: *, ::~ . ... , .. - - ;; - ~ ..
_~-. ~: . . "
*c. . '* .. *;-~ ..
. .' ' . '. -~*. . - . !. . . * . . . . . .. . . *. 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 :: ..
- *. ~"
' . ~ .. ,*
- .* ... ... . , *....* ~ *,
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.>- .J\ .
- * .* Data_md_~x.4 . . ~ .Data_mdex . .. .. . ICEAuData_indexJ +. : ... Max_Area
. *. * .. ** WarmArray 03 ;a~i~~~~.:i = n~cables 0ata_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 ._.**
i =0 J 1 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 . *
. A,dd.:._Poi_nteri. 1 . = W arm rray(.)
.A * * * :. * * *
- NumNotHot - I :_ Max Alternate
=o . . -~-.\
-:~
. ,~ Number of Cables in Group
'. **. ~ '
*= *if[ MultiGroup, WarmAr~a. "(*. . * * : * ,* .* i.)* .** . o! *c* l.d*c. *..b** *P : *t.* *.
1* *
-. ** * . * ' NumNotHot - I..:.. -
- 0 * . 0 a e Oin er
. . _* ., . ..:*:--. . *: *.. *..... *. -_..... . .. .. 2 ' *. ' - . '* . -_.>. .* *. ~- ._ -. . > . . -.
*:- Add_P?i~ter( i ~ 1l
.. * . . . .*1 _ .
~= .if[. MultiGro'up, yVarniA;r~y(.* *. - * . *.: . _ .- :
. . . . :-. , NumNotHot-,t-~
i) .o ! N um
,2 :
... *_, b
- _.--- f.* c:*.* bl. * *. G*** - : *
- 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 left. . . . . . . IS iik .. : = it( Mosr of=O
- 111 _-
- _ *- ._.* .'.
o* iii + MaiC' Alternate\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 i.f . . * . .' "* ;,;: .:. **;* .i. ' .. :. A
- Pg.10 of _ _ __
d_Poir)teriik. * . Ill' *
... 0 * = ifr Most_ *
- of> o, WarmArray(*** * . 111+
Max--Alternate)* ,0 , Add_Pointer . fiik
\ Ill '
... 'J 0 l *.
. . - .:-- . : \ . 2 . . ' J -
.Add_Pointeqik... 1 =. ifr M()s(_of> o.
,*. . ...* Ill' : .
WarniAr~a.-Y f... . :111+ Max :Ai;er~at~'\ ..
- Add_Pointeriik... 1].
-- . ,2 .
- Ill' *
. . - . . .. .. . . - *. \ ... ** 2 - / . . . . *-* . J Add_Poiriteriik... *0 .=.if[Most_of<.O, WarmArray/ ** : ...* Max_Alte;nate * .:.'.. ,Add_Pointer;ii-k... ).O *1 * **
. *. . .. . 111' * .. .. . . .. ,NumNotHot-1-. -1111.0 . .\. 111. 1
* . _ .: .' \ . . * . . 2 . * !. .. . *. * . . _ . J.
. Add_Poinferiik... 1 = if[ Mo~t_of< 0, WarmArr~y r* .- * * * *** * ~a~ Altern.ate. ****' , Add_:._Poi~te. riik.... -r] .
. . _ .* . 111* . _. . * . , . , * . . . * . . ~NurrNotHot"'." I - _ -- . -111).2.. * *. .111*
. .. . . . . 2 . . **. .
. 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 -. -: . . . . .; - . . . . . :* .~ ~ - .. . , . . . *-* - .. .- . ~ . *. . . . ..*
. .~--
IMax :; *if( MultiGroup, NumNotHcit; 3) , ** ._ :*1
~ *- . '.:**~ ' .' .
. * *.::;::- .. :,;-- :__~: .. i_:= (2 .. IMax
. . *.** . .' . " .... ~
~ ... ~* *-
. . .. .. . .._,___:_~~~_-_,_*._*.:_T_:,(*_.* ~ ... :. ~.-.~. i~.-*~4*
. ~:.:. - ......
. ...,," - . - ..: . .-~:*.* . . . *.* ~' ....
CaiCuiate. the depth of fill for the ct*)rTibined*group .. r* .. adding one cable group at i:i tim~*: *:.* .\- . : <; .... ~\
.. . ; )~ :.
.: *'.~ .
\"
- . _ooi= fri.ai"° := D<?F h~t :.. ,.~-* :~. ; . .. . . ..* ,.
* .. .. *:
- 1* . ** . .. . . .* . , * . . I * ' .. l : ~- .*
... '... * *:_~.-~ _.*. -.* -.._.*. '1_ . [ able~.dia[A.dd_Po*. inter:*C_ . * *J*) 2 *n_c~bles[Add_*~Poi~ter. . .* _].* * . **
~
11
*.:-: .. . *. . . . . (J-1},0 . . . (J-1),0 . - *. _-.
.. ..+ if MultiGroup ,-*1'--..=_J,..----~---------------.,.--~-, oo*m I
. w model* J
. t.:
.... *.. - . '*. . *.... :~~ .' ~
\.*
1 .....
. r_,*_ .*. *
<" .. /*~* ..
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
. . J phy~ical*-*1
- o), .. *
~ ..
j = NumNotHot * * *
*. . *. :.* .:. *.* * -~ : . (N~mCable~ in .c ...~\ *' ..
is_even = N:u_rn(:ables,_m_Set.., 2*flo.or *: . ~. 0.. ~ =is~ern =~~. ** . . .. . 2
* .. . . . . 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.
* .... Hot cables'+ number of warm and cold gioups to. .,.- . ,_* , .
. NumCabies~in~Set =9 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 * ., '*
.- **: .. ':**. *';t
~-
*.* :r .' '* .. . -'.._- ... *
.... -. . ~ < *. L ,*
, ~' ; . '.
> .... 1 * ** ~. * * ** *: ...
. *.. :* Calculate thE! depth. of fillofthe ~whofe set as a check on' the logic .. ' -* * . ' *** . .. *. :**.-"*
.: - ... ' .. :-. *.. ~ . "'.* . .. . .. ** :-*':: .*
~* . *~- *..:.'.' * ( NumCabl.es_in_.Set - 2) * - * .. . < * , : * ... ** * .. : * . * ..... j
~ *.
if MultiGro.~p\: **~: ... (:
*.-*.*.*.<.:._**-:._-. **:. . . . . L . .
*E . -. . ~- ~ rCable_dia[*~ . : <o~)] ]2* n_:_cable~[(
1 Add_Pomter *; o' . Add_Pomter.
*. - <O>)]
j
,O*in 2
. *.: .**. **::*, :: .....* ,.~:. '.. r-*:*.J ~'"o ,.
*** ** c **
~*:: . * * . .( NumHot "" l ): * . * - , * * *: " ** . . ..*. ** .:.. -~
*. . *-.~*.
.:~
- ~ .* j Z:>
= 0
_* ~-* [*~~b:e:-dia(~*~t_Point~r;) J2-n-~ables\~ot_~ointer;) _ D~F model
- .: .*-* .**.*_:...--... w model ,*__
. : ~
~
. * .DOF ni~del =* L678 *in . - '.*:: ..
'*{.
*. DOFmodel -:- .DOF physical*= O*i~ ...... ' -\
-*.:-. . *.- .-i ; ; . . *, . . f'.: .. ,,.*: .**... ,**
*.. 1; .*;_ ** ..
~ : .' ... - .** .. . ::
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.}_ .
- r. . ( NuniCables_Jn_Set.-: 2) * * **1**
- NumWarm ~ if[ NumCablOsJn-:s_eL I . 0 . :. . L.J '1 . if[l. 1cEAu[(*Add_Po1nter . .', <O>) ]>Max_Cold, l ,Oi .* * ,
1 j =0 .. . - *J ' 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 '.".:;*_ : -* -~
- ~-.
. - ~ * **. r i '
_*. _-,: *-.~... ' ., _,..
- Nu;.nHat -:- *1 .** . *~.<t. *.
. --~- ./:
*. :.... ' .. :.:* ~* '--~:
-~. ~ *. :....
*~:~ ..
h.ot ch ~
* , hot90C a* * ~ (234.s.'i<*.s . -' CtoK ~ T\ * .. *.~*.
**~ ... : ,. .'* ~
.K + 90 . K / :'-* "*
.., .. ~* . ,. . 234 . .~ .
~' *.. *. ;* . . *.
. *- *. ~
_beptfr of fill *, .:r:-.: ..... *r-::
,, *. * . . . ' ., .. .. ~-~ *. * *,. 1*
'. ~*- .
'.*. ji .. ' ' ;. . *. .. *~-
. .:.*: '. * .~. *:, L.:*: n_c~bl~~.{Hot_P~i~ter;)*: ~~able _dia (Hot~Pointer;) Y *,.*'*
. :',l*.
**.; *.. ;~* .... .. .-* ' .. -*.
'-}
- ~
~
{j ~ ,o_~:~.
.. . ,*~OF hot' ,. .~ . *-~
" * -<?" , ** ~. :YI m.odel * . '.-:.'"'"' .., *.
. **~ . .: .* .
~~O-~~i~!~~ " ". ' ':-1
***.-:* ., . ,T;', -:*,
...... £??F*hot .. * ....
*.*.;_. ~ :- .. .' .
'*. 4
~ *'
Warm cables .. '". ;. * * * *** < * **
- -~~---
-. . . /. ; ~.
~. '* ,'**. *.
* ..... .*. . *, - .~- y *** * **** _:~ -
~. <
.... Calculate th:eHeai Generation *. . **'.
' ~; *. ,* . " *..*. . . , .* ."'.: :, . *-. . . .. :' *.
,j2*=.if(NumW.(irrri~1*.Nu.mWa~m>t'.*o)_.:"<~ *;.:.. * . "<** ,, ., ..
. j2: . *....;. . '*., .. . *. .. .*.--:_** . .... ,. . . ' : ,.
arm90C >~ ~
~_cabl~.~[* (:.WarmArray.
- .. : . * <O~)** . n~~onductorsr ( , . * .~o>) ]: [I 1o~d[. *(**. * ... *.. ~~->) ]** *] -, R~'cab.le[. (*
j J.* *
. . *. . . I WarmArray ... i* . WarmArray . j .;, ...... , . WarmArray .: j 2 * . <o>)**. ]. ..
--.-- -*. j = O* .. .. . . .. . . . - .. . **. . ..*. .. .. . . .. . . , >* *..
<:.*,a war~*9dC =_.it{N.u~w~~m~-?~*ci*warm 9*0 ~_.o.**w~tt~tr 1 ) .. .. " *.. -~. - ** "* * : . ~* - <'.
.... .. . . . :~* .. . . ~ *' --.* :*. ' ..._ ' .*..* . . .. . *. *.' . .. .,.. *.:;
'::* .. -,. . -~ . .~ ~~ : ..
** i... . -~-. .._ ..
* ~ '
EA-ELEC-AMP-032
. ATTACHMENT 8, APPENDIX A.
*a warm(T) -
-a .* .:*
warmsoc* {Z34:s.K.**_ ct~K
+r)
- Q warmgOC = 7. 999 'watt.ff .
.. I
. ** \. 234.5-K+90-K . .:
- 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[(
. ~ :.
- j = j1 . .
WarmArray.
<O>\
.j i*n_co~d~~o~*[.(
J: ., . _ W~rmArray. . , j
' ~O>)' ]***[I 1oa~[*:(
.***.* <O>)'
WaIT!1Array j
.))~-~cable[~(
_ ._ _ . WarmArray
... *.' <O>)] .z]
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 . ._- c,
- .. -~ . ,*.
7:._ *; * -*: * . ~ .. .....
- Depth* of. Fi.II - -. *t .. :* .. *, : ' .,
~:- ..
. -~-,.
.. **~
* * * ** * . ~ '. ,. l *** : .,, \
D_OF cold :=il(Nun,:iCold>0.,D<;>F cold*O.*in/. .* .. *. . *-.: ,. *-.'
*--*~ , ~ . . ...... .*: - .
~
- Function for Radiation from th!3 Tray Assembly as* a Function of Cable Mass Surface Temperature* .. *
. . - - . - . . ***, . .. .. . . . *. . *.' ;,' . . . .' . ..** ;. . . ~
. . . -* ~ ..... *_ ~ ;
. Holm.an; Equation 8-43a *
* ..... *. :..-:*t. -**
oc*.'
. ......... - .*. ~
~ *, . .:.* ......
.;.. ~' :.
*i-.
-- ****-* --- -------~:...---------*-~
EA-ELEC~AMP-032
*ATTACHMENT 8, APPENDIX A.
'. *, ~*
**.. ~
9*P{ T1 , T2j.(T1 *_ T2 >-\~r 2 Hoimah, Equation-7-21 Since the length of
.Gr( T1 *.. T2 'w) - . . .. - . 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 ..
~ .:.,
.. *. ._
- Holm~n_, Equation 5:42 _* * * * *. * ..
.. T2, w) *: * * * . : *.* *. :*. * *... :
.* * ' .Nu top( T1 .***
._.*._.- .. a. top_-'_conv<T. }_ ,:T_?,w) - .._ * *( . . . *k*air<T1 ,T2HT1. _,, T?> .:.*(Since ttie tray ar~a /: *. . * **, -_ .*.
*- ; ,_ . . . .,-2'*), ...*.. . . . .* . - ,, . . *.. per' unit_ length is Vv* .. -
~hew in the . >-'*
.~- ,,, ;
denominator for the . expression for ti-i~ .* '*',*.
. canceled out ..' ::*:* ..
*: f
'* : .. *.. ' **1
*;_. .. ,. ' *, ~: ~
~
.'.- ~ -- *, .. '*** .. * ,... ~-: *; --~J
. :-. ! ':~
... :*i
~
.... :.::~.
*;* :. < . **. .- . ,. . _. . . . -. .Nu b~ttorri (T1, T2.; -.Y) >* - :1 >. > .. . *Holman, Equation 5-4i, * *
*.. .:... d.-**..
* :a bo_~7,c~:nv <.T:~ ,.T * ~-) _.= * .. ,: .:--_. ( l 1- -- -.. *k ~;~< T
- T? H ~
2 1
*.:. r 2
) *.-_ :";:*:: : (Since the fray area~. **
* -;~ .. *: *: *p~runitle~gthisw, :. : - .'."/.,
* *'\2/:* ,: _* *, . . ;.: . , . . .. ** _.,_ -::..
**, ... * <- . .:.* * *-~- ... thew.i"n*the: *~* . *: c:. :*;*:
~ .. '~
., ~ ! * '*
* :.. denominator tor the
../ :;-***-~
expressionforh is *. <- * *- . "
- --> * - ~- *
- Q bot_conv1 (T1:~.'.~~
- Os.
- R~(r1 ,T2.* w) 4
> .m . *
*k a;,CT1. T2) ( T1 C T2) *, ** ..*.
- c~nceled o~t. .* :. * = * * * ' *
.*:. ~*
.* ~- .
. . :~*:: .-"-'~.*~:e-<~ffi~~~::::~?:~*~;y*:::. ~*: *: - ... **~:~,' .*:*: . ...,
- .1,*,_ .
. **.~
0 l~titial Val~~~;~~ ~the. ~. ~rface,'co1cr~ayer,*Warm Layer, and Hot Layer- '* - :* * * * * . : ,.*~*:
."_-i.. .
~
. ~. ' -
~ . . .. ..
~* ~- *. .... .
' . . ~ . .. . . . ~ " -- . :* ...' :
.... ~ ,-...
. ~-'.
.: .: ~.** .
* *.*\: Tgs ~*Tam_b-~/*.K:'*:~~*. ,:: :: .. "...... *. ..,*_ _.... ' ... *
.. :~* .... * .
~*
. .. ._ ;*~* -*
Tgc'. = Tgs:~.;,o.i:K .. ;, __ .. *,.;, ..*.*.:. _,-.; -. ""."i Tgw =:, Tgc + d.i*~' _ .::-** ~ .: ...... *.
*Tgh\. Tg~+.. 0. i.~*~ :.-..*:
- c. '- . * * ' : ..... .. .:. ,'. ...-. ::
~* .. . ' -;. .. -:...... . .... <*.
"*'*"* .* * ¥ **
~_ ..... ~*.~ *, . ., *.... *.*
}
~~;-: ~' *..
...* ... * ... .: J.. - _. .t
.. .....f.... .,!.~-.' *". *.*
. --~
..... ; . ~-- *. ...
": =--*.. . .._~. ' . '
. .~ .. .. ~ '
~*; *.. ... . ; -. ...
-** w . ,. .,.
. -~ ...* *.::**
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). model w . . ..
l
. *T gc=Tg~ ;: _Y m~ss * [ ( ~ hot ( T9 h) + Q warm ( Tgw)} DOF cold + Q ~old ( Tgc) DOF cold ~~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. .. . . . *.. . .
_.. Tsµ"rface - Ctol( = 62.44 *K
... . . .C*
0 Ca*b* .le Surface* * ... ~ , . .**
*~-*
.* 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*** *.
' . warm - _o =. . .** .
°C . W,..
; . :arm . ayer L .. . ~ '; ..
-~. -~;
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*> :.: .. . *. * *<< .
*I.
.* * * *.. *.. l' .**.
.. < . *.* < **~.: ", 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 *.*
. EA-~LEC-AMP-032
, .,.. -~TT~C_H~ENT 8_, APPENDIX A.
*:.* *::, :::, '*PAGE '1's *bF : . < *.:: .:* 1 h~t"(T h'ot) = S.36J*watt*ff . ~ot_Jayer :-: T amb 1
'_ - * *Q . * * !ff hot ;: T ilT.hot= 49.748 *K .
. a_ hot(T hbt) * . : ..*.3 5*4*6*'. . . tt.-ft.- I ... '2 .... , . *** * . * . I 2 1:-t,I hot - HI hot= *. *wa . _*in .,_ HI ICEA = 3.182 *watt*ff.:*in*
w modei* DOF hot
. .. / . *.
- 234.5* K - CtoK + T cond
- /HI hor--... . .
. .. . .. ~ 2~4.5* K - CtoK -t' T hot "
= 1.o79 1av hot = JI * . I av~hot *'
- * ** ,*.. HI ICEA "
. I Thr~shold = I av~hor.F Threshold.
~: ~ *. -. *.
* . *: 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*~~. , .l .w-~rst>>I Thr~shold. . ~~b*I* riri1_1aYe~ 1*
1
* =_ i{1 I : !\T h()t' {I_: I worst . *) + T T .c. CtoK*"
... . . .. . . .. . ,\ .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 *...,, **
..: .. *-.~: *__._
*~ .. *.~ ...
; ~:
.* .-* . . *-~
.. ~ ,,. .
..... , -~- .
. _< *.: ~
I;
- r . ._ *~
"- *~:* "
*-~ .*'-. .
-~
.' ~
F:
***--.: .... * :* . :~-- ' .
\ .....
~..,
, '*~- .. :-: .
**. *~ .. ~
' - -:" --~- .
..: * . . ~I *- .. * . . . -~*~
'1;* :*._. .,
EA-ELEC.;.AMP-032 i; ;::! '::~:::,ATTACHMENT B~:AP:PENDIX A.
- Pg.17 of _ __
jUting Poi:t Da:: I 3 058 0 008 *b 0 l *Col. O: Index for
/ .I 10* I 3 . 0.58 0.008.. 7 0.423 I *..* ~.
ide.ntification
*. * , 2
- 12 .* 2 0.48 o.oo.5 o o . I. Col. 1 : Cable Size ,*
Col. . 2: Number .* of Cables**. 3 12 '4 .** J 0.49. (i.cro5 .o o I Col~ 3: Number of
.! 4 12 I 3 0.49 0.005 6 0.54 I . Conductors per cable .
. Display ~ ; "5 . 12 . 2
- 3 o.52 0.005 o <o * ! *Col. 4: Cable Diamet~r"(in.)
. Co{ 5: Copper Area
!I 6. 12 . I
- 3 0.52 Ci.005 2 ._O. IT , l ... ~
Col. 6: Load Current j 7. 12- -1 :* 3 0.52 0.005.* 3
- 0.254 I
- Col. 7: *Load current in -Per * *.
I
- 8.* 12 I. 3 0.52 0.005 *4 0.339 *. . Unit ofthe Cable ICEA
*. i 9 : 12 .. 3 3 Q.52 0.005 7 0.593 I0 12 3 3 0:52 0~005 1.0 0.848 Index of the.Cable.¥Jith .
.11 14 7 2 .. 0.37 0.003_ 0 . . 0 1 * * ; *the High~st Loading:
12 *14
- 1 2'-0.37 0.003 o o*
i . . TMax.:...Jndex = 25 . *
- .... *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
_.* . Maximum. Expected (°C) : . -~;.. J.: _: '.
*. . *
- i6. ::14 * *_ 1__ . s a*.6 --~*-~0.003** o -" :o .* . . Temperature in the . ..
.*-?,'*.
.~* .' .
-. 17 . 14 .. 4 . 5 0.62 0~003 . : 0 : 0 cable Tray: .. :, :
.. . .' ' . :~ - 18 14. 4 1 b.64 0.003>>0*:: .. _o
, . .-. . 1I T expMax = 89.7 *K *. *."J 19 L4 J 7 o.64*. 0.003 . s
- 0.664 I .' * .**.
**-*--* 20 14 2* 7--.0 65 'o*ocn.. 6: :* o:.
- 1 ***; * :
. .... \
~ 4~ :o:~-4
- __q:o5_:( 5~,:*-~o.908
* **
- Threshold Current .:* . **' *: ':
21 .* ; . j' . ~
. ' . * * ** 'l ** * : ..
1Threshold =.L 295 * ". ...... : *-:~~'
'22*. 2.;. ~4 . I*.
- 0:44' 0.052 55 .** 0.998 ,
II .*
* *.'r
_;:*: "( 23 4 . 3:- :1* 0.37 "O.OJ3 15 0.409 !. * * .... o.*n ;_.03.f*: 26*
- _p.._709 l *
*****
- l*
- . 24 4. *. *.. 3_ ..1 ., ... ....., .
- <<o..7-\. *0.1~6 i:
*, < * * ~
.... _ ~,--..~ ......
'* ::_25 410__3*1 I7\' L079
. l26 8_ ._. r,3 _o.~~---0.013_2 -____ o._o66_1_--
.* 27. 8 L~.3 0.84 _().013,., 26 *, 0:86 'J "*..... ..
.,. ~- ._ '
'... --~ '
-~
. *- . ~ ... :
. ~**
~**
** ** 1 ._:' *. * *..
" . ~'
- r. ~ * ' . *-
. "*:* ~ :~ _.: . -,
..*. ~
- . , * . *; . . **.*- ~*.
.: ;.* .*i** . __ ,!; .... : .:****
... ~.
-~
-~ . -: ' .. . - **:"'
**.'-*l
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EA-ELEC-AMP-032 ATTACHMENT 8, APPENDIX A ... 10 r 0.0013 1* " *1 r l 3 10 0.0013 I .- . I I 3
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EA-ELEC-AMP-0.32 .. *** ATTAC.HMENT;B~:APPENDIX A Pg.19of _ _ __
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7 Ii *o I2 I I 12 0.49 -.Io* .I Cable_size - :~ IGable_dia =
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EA-ELEC-AMP-032 -. '*"
.... A.TT.ACl-1NJENT
*. **.. . . ..... .1.8~ AP~ENDIX
. ..... .. . A.
Pg.20of _ _ __
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EA-ELEC-AMP-032 ATTACHMENT 8, APPENPIX A
.* ; 1 * -*
- - 1 *; Pa_9e:21- or * :L .:: .
- 22 0.998 4 0.774
- 2.1 _ 0.908 .;
i 27 0.86 4:_. 0.774 9:0:~* 10 -1 0.706 8.595* 103 9.984* 103 3 lI
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EA-ELEC-AMP-032 ATTACHMENTS, APPENDIX A_**
- .
- :-*i Pa'~l22*of F*NAL *::r . *
. 0th column is pointer to cable data. fat column is the number *
- of cables in the group . ......
r 22 1 12
- r-I I 0.5.091 0.77 ., ,.*
I~: 0.816. 41 I.Oil 27 "I I. . 1.145
. Add_P61nter =- 2* 1 .. . DOF trial = . -1.383 * *in 10 3 1.461, 0 I 1:734 24 3
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