ML18067A636

Excerpt from Ampacity Evaluation for Continuously Energized Power Cables in Open Air Conduits, Revision 1

ML18067A636
Person / Time
Site:	Palisades
Issue date:	06/26/1997
From:	CMS ENERGY CORP.
To:
Shared Package
ML18067A634	List: ML18067A633 ML18067A635 ML18067A636 ML18067A637 ML18067A638
References
EA-ELEC-AMP-039, EA-ELEC-AMP-039-R01, EA-ELEC-AMP-39, EA-ELEC-AMP-39-R1, NUDOCS 9707180084
Download: ML18067A636 (39)

Text

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• • • ENCLOSURE2 CONSUMERS ENERGY COMPANY PALISADES PLANT DOCKET 50-255 Exerpt from:

EA-ELEC-AMP-039, "Ampacity Evaluation for Continuously Energized Power Cables in Open Air Conduits" 38 Pages

/'

9707180084 970710 I i PDR ADOCK 05000255 P PDRJ

... ~*

• .* (@consumers' .* EA- ELEC-AMP~039 . , .

Power ,

• . . . .... ' PALISADES NUCLEAR. PLANT*

. . l'llWEIUllfi* . * : ENGiNEERING ANALYSIS COVER SHEET . ' .. . ..

.-- MICBl&A#'S l'fllJlillB$ *Total N~riib~r of Sheets._ __

En~rgjzed itle AmpaCjty EyalUatjoh' For Continuously.

• • ~<> .. . . power Cables .in. Open Air

. . . . *. C~ndyjts .

. . ~',

INITIATION AND REVIEW Ca lcul ati on Status Preliminary Pending *

• Fi Superseqed . .

..*, D . D , D* . . .

Initiated !nit

• Re~iew Method . Technically Reviewed Revr Rev i----"----.....-----1 Appd Appd CPCo

1. Desc'ri pt i ori. . By

• rietai l Qual . . . By Appd B Date Alt Cale Review Test *B Date

.* ** J*. Nehls 0 Ori gi na 1 .Issue .x. R. ';/~1/err 1'11'1/i M-'r*1J Hernandez see Description Below

.:. : x

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• . *. - : \~-  :.~, . '* .- . .;

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

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

• .is. EA sup¢rsede¢.the.

portion* of _EA~EL:EC~AMP-034. associated . .

with open' air 'conduits~ -. .

~**:

.~ : '

• 'I . **: . . . -

. :-* ~ **. : ~ . *. .: . . .  ;,

Revised Sections: ">'* * * .'

'-.' ... ~

f- .. ~.. . .. ,*

... . :.:.:**/.....

• • - , -~- ... **,*, ' .*

• Attachment M ~ :inethodology for d~termini~g the c~nducto~ temperatt.ire -i*n condll~ts . ,.

tachment N. - . s~pportin'g data 'tor attachmenr M . . .* ... _. * . , .

Attach~erit P~. s~pporti*rig:* data f~~ ta~l~s w.ith insulatio*~*"'ra~t*i~~ '1es,~ .~hen 90°c:

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

... - .  :*~

_._.... . . . .: ~*.. .*. : ..

. ~ ... ..._......._ _ _ _ _ _ _ _ _ _ _ _ _ _ ___,_ _ _ _ _ _"!" ... - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -. .

.*. *~"!-~.. .- . *. ,..; . ~- . . ,. ,* ......

.. ~.

. . consumers'

. Power . PALISADES NUCLEAR.PLANT . . EA- ELEC-AMP-039 PllWElllllfi .

.MICllJfjAlf"S l'flllliltB5.

ANALYSIS CONT.INUATION SHEET*' . .

Sheet :-2_ Rev.#**___,_.,.]_*_

• . Referenc*e/Comment I. . OBJECTIVE Background * . . ....

During an analysis being performed to adjust the ampacit'{ of cables.

'routed in cable trays with a fill greater than 36°/o, it was noted thaf'

. analysis. does nbt exist*to confirm the ampacity values for power cables roLJted through open air conduits .. Derating of "'mpacity values is .

required due to* multiple power cables 'in *a. single conduit and for bo~h .. ~'

- P()Wer and control cables routed in. the *same conduit. *. . .

• . "fhis EA *will establish the methodology and:evah.iate 'the ampacity for .*

continuously energized power .cables routed through op~n air conduits.  :.. ~

at the Palisades Nuclear Plant~ * *

.:. ** .., ..  ;, f PURPOSE : * . . -** -'* ..*

~

. Th~* p8rpose of thfs' analysis is to. e~aluate the arrlpa'city associated .

. with the continuously energized 'ppwer cables installed jn open air.

-~ .. -**

conduits .. This analysis :will consist of the. following:.* ' * ... ,

• *... 1j ..* *..* 1dentificatioh. .

• 6f.the* .

conduits

• that require analysis.

<<:>~.

• -, - ~ 2.)*

• compare the established full. load current with the cierated . . '

. ' : ampacity_ of a *cable at a given race.way ..

3J.: ... Fc>r th.ose:.c-~6185 w.ith:d~r~te*ci*:-ampaeitv 1~ss than the. full i'~~d*. * .' ... , .

.* current~ comp*are .th_e foaxim.um calCulated conductor temperature "*,~©

..* with the cable . .-

,insulation>. *,' ,.

temperature *-  ; -

rating.*. .

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

,.,_. * ** . *-~.. ,- 'i* .,

scoei:: . :<_ ..'2'::* * .. * * *_: ~ . . **:,~,,,*.i* *

-* . .-;:....::\*_ . ..~.~--

\. ' . *:: .**-* ,.: .. ' . ' ' ' . . *'

~

• ...

• The scope of this analysis Is limited-ta an. ampacity *ev~luatfon o(* :: .

. '. continuously energized pdwer cabl.es ,installed in open 'air conduits: - .  :.- ..

• • . * ' ,:.* *, **. *. .'."::..,,.** * ':. ' . . * * ** * ** -r . -,.. * . * -,'.*'. . .' * *

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

iL ~. ~Ne~ioA'i"A' ':_:':_-.~*;;.*_. -',' *~:' 3 ' .. .';  :'.;'(',:

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

. _ ,* -_. 1.)

• pat~ identified _in Reference A~ as well as Palisades plant* '* . * *

.- :

• documentation identified in* Attachment J; was used to . * ****.,-:

• , _* .. ~ * '.: * .*determine* the load cur~ent for cables identified *as power-..in the.

. ~.'

. ...... ~

u.-'.

. .. : '- :<: CRS* datab~se for the** affected* open air .conduits*: *The load data

. * *.used for eaGh cable

. *, . . is cfQcumented . .....________________________________..__.,,

in. Attachment . .*

I~ * .. - . -*

• ,' r . '.

-EA- _ELEC-AMP-03g -

Reference/Comment IL.* . INPUT DAIA.(Contiriued) . .. . . . .

.. ' 2.) . The primary input ~document tor this:~aiculati.on is the-: Palisade~

_Circuit and Raceway Schedule _(t:RS). This _includes, but is not limited' to,. quantity of cables per conduit, type' and size of cable. -

• 1t was determined that enhancement§ to the CRS were requir~d ' ,*. (j)

., * - in order to *generate accur_ate results. T~ese enhancements * -

--- fnClude verifying data such as*cable ~ize, _cabletype *~nd are* .. ..

documented in Attachments. F and G. - ,. * - . . .- .

~-.-

~: .... >' ' .

~

3*.) '. A~pacity value~- for the "various cab!e sizes w.e're 'obtained fr~m< "

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

, .. - .IPCEA pub: No. P-46:-426 for sizes larger .tha_n AWG #8,*an*d _

': ***NEC for cable sizes AWG #10 and smaller. _Th1;3 amp~city valu~s . . . .~* '

_are based on an: ambient air temperature:_-of 40°C (.Reforen-ce- * ..

- -1X-.t) 'and a conductor insulation temperature rating o'f either 75~C or.90~C. {MinorAssumptioh 4);- The ainpacity val~es'are- -

~

- .- - --I ~-.

• --_-~©

• include({ in Attachment K: . * * * .. .. * - -- * - -* _- *

• _ -; . *-4:) .. EGAD-EP-0~ an.d_ miscell~rieous Palisades electr'it.aldrawings-- --_-_ -_-_

• .* ;-.~: .*_ *._. -- (Referen*ce. IX.p) \IV.ere l.Jsed to identify pi an~ *1oca.tion~*ofcondui~s

-* -* included in AttaGhmerit B. --- - .. - , * - * * - . ..

- t.

~- -

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

. :- 5:) - S&L.perforrn"ed a calc~lation to determine.th~ deratihg required. . - .. . _

_. _;: _ *for multiple c*ables in:conduits:: This_ includes both multiple_ :_ -__

power. feeds in the same**e:o-nduits and multiple Gable* types in the* * * .. ' .. ~. - '

• -:- _* .. .._- ..: -- same conduit;:* This calculation is included as At'tachment H*. -. . ... -~ -.

~. **~ * '

• 1_ * *' 1+

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

. ~*~.

~*:

'* . **. *F*

Ill. , -*ASSUMPTIONS.. ._:

.. :* ~ . - ': ~. .. .

.*. *. '-* .'  :~ '  :--, .

• . .-{'

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

.-

• _M ajar *Assumptions_~)-;;;*_ *

• • -r.* _,*.. _

.. '  : ... *- .i

. ~

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

. \ '*,

-, : , NO;;e. > .';,;~\[~:-~,;;?;_  : ". ' .*- : --- C. _ _ _ ----- '.-* . . :-

- (J) r

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

-~;:*: .*

*:: **.-_fy1i~6~ -_Ass_um~tiop~,;/:~, ~ ~-:~ * - :_ . : ..* -_

-; ....

• _. -* .. ~

.; -_ -_...-*. '-~~.Y~' -_--ilie scop~::~f :this -ana1vsi~: is 1ii:nh~d to. op~rj air c~~dui:i~ ** ~ _<,* _*.>, * :: . .,

' . ... . . : '.':'containing' ¢ables r~tjuiring *derating; from the *a.mpacity tabl~s- i!1* - .

-~; .- ;* NEC and IPCEA (i.e .. multiple po.wer feeds or multiple_ uses of .. - _ ..

. , __- -*:-* --- :cables).' A con.duitcoritainirig.only orie power cable_ requires rio-*_. * '*,.* *.**- ..

_** .*

• derating from the fables in the NEC and IPCEA ... it is_ assumed

• -~-- that these conduitsiGable installations are sized c'qrrectly and

• _. * * * -. .

~  :

- - -_ .. therefore', are excludecf from the scope. - -- , - - .. ... . . -. .

• • ' . 1*:*. *, *... _. .. . . .\.< .. .. . *~: *-:- .* . ... .* .. *. - . . '. **:: *~- . _........ -  : ;*

* ** ...~  : * * ,. '. ,* *, \. .'.-~ .:::: ~* F ' ~ ** * *. * . .'o~- ~ , . .'.. *

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

• v * ,*  :*:  ; .... *, : * '* ','

.. .. ..  :  :  :*:* ..~ :* '..

• i~

• PALISADES NUCLEAR PLANT EA- ELEC-AMP-039 .

ANALYSIS CONTINUATIOl\I. SHEET

• Sheet~ Rev# 1.

Referenc~/Comment 111~ * *

• ASSUMPTIONS (continued) *.  :, ,-

. ' 2.) 'in the determination 'of the' full load current for each 'power cable; ....* , .

... . some corise.rvative.assumptio.ns :were Used; These assurnptions.:

ar~ _identified and documentedin Attachment J'. * * * .- *

... .; *.* *i

• *

• 3). * .. The purpose of Attachment H is to. determine. the ampacjty ' *. -

. *.

• derating factors for iTiultiple *p_ower and controi' cables in *a single *

: . con_duit. - The ampac_ity values .included .in .th~ IPCEA for cables* **

'*: *. . . : installed in conduit is not a function oLcondui_t s_ize: Although.by

,, ' . ca_lbul~tio,li; the ampacity maybe slightly .impacted by cohduit : ,

size; the IPCEA:considers them to 'be free of variations. 'The . - *}:

• c~lculated derating factors ass:t.1me thafthe. cable.'ls 'carrying its* r*

,' . ~

'* . . .Y:

rated current *and ttie selection. of a 3 conduit'- is con$idered .* II . ..

• ... represel")tative of the ~onduits ~t the' Palisades. Plant." . , . , .

".)*.

-~I.. '* '- -**

~- ..

.

• l * * * ' * '*-.. * '

. : ;,,___  : .. _:. <.. B~s~d* 'on th~ aboye app*r~acti, the sel~cti_on ~l 3 II as :the basis -: .

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

..... _.. fo,r the conduit derating* value;s will .be conservative and c:an be -

• ./

• .,_-__ --u~~d ~or co~dufr size_s:. **:;.*'  :--~.

~*

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

4) -~

• A review of th.a CRS database i_ndic.at~s-.that there at~ *P~~er .. * .:  : : ~ - . ,*.

.. , ~ables th~t either have ari insula~.ion rating less then**.90°C or

'* i

. . . ..... * .: Where the insula~ioh .rating is not identified. Power cables .

. identified._in the CRS as' 90°C wili' use ~heampacity valu.es *ba'sed

._.. . / .. *on 90°C from the tables included in Attachment K'. Power cables ~

. :;(D:;

.. " .... :."' a with rating les.s than' 90°C, or where the rating is not.listed will .. ::

on .. ;. ',*: .

. ' . ~-. use ampacity' values frorr,i th.e .tables' in: Attachment K based ~ -~

. ...;. :* :

• 7s 6 c.

• A coriduct6r _insulation. rating _of 75°C i~ the IQwest rated.'.~ * * **:  :.-

• "" _ * : . *cable installed at Palisades:: Therefore; using .ampacfry-.values ** . . .' .. ~-

. . "*.. based on 7 5°¢* for power dables. with an insulation* ra~ing 0th.er~ ..

. *;' .* .. than 90°C is conservative .. No.further v~rification.is required:* .

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

IV. : , ,l\C_CEPIANGE' CB_l!E~_IA.. :>>> ~: ,* . .. . ... * . . . .., .:. ,,. . *~- -*

.*I

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

~;

,*,v.

. . *... For* e~c;~,:'.~co"~-~iJ.ii-~ithin-.,th~:~~~Pe ._of :this analysis, a con~parl~on will b~- ..

. *. . . m*ade betwe~n the Galculated ampacity for the cables in*that conduJt ._. * " _., .

'* :~- ahd thecalci.Jlated loading of the c~ble$~ If the calculated ampaCity'of. *.* .*:-<.: . . .* *..

• • <*. :* eac*h cable. exc.eeds the. caicui'ated load~ng, no, ti;irther dispositi~n is :, : * *:* * , . . * * "* * :*. *

• , \ required*.  :* ' . . . ... _,_. . * *, . ,.! .. * . .*.

* - * ;;

• f -' ** * .., - .* -~- . ,. ' ,. ,. * " . . *

• . Additidnal acceptance ~riteda comparing the calculated rriaxim~m- _.*.. . . . . ** ,

conductor temperature with the cables rating may be applied as . : '.. ' . *. lD'

. *: ; " required~, it the calculated temperature is less than the cable's. ,',' : *.

. , .. conductor rating, no.further disposition is require'd .... ' .* . . -:*:

.. ";!."' *., *.*.- . . . . . . . **._ .-. -_- ~ .. *.~:- . -** _ * .  ; *.*.- * . - ~::. \; - ' ***_-, - . * ) .

> . ' ,.-~---~.--i J . : ...

"tr!!\ consumers .

... ***-~Power. . *PALISADES. NUCLEAR PLANT.* . . .. EA- ELEC-AMP-039 PllWIEIUll& . . ANALYSIS CONTINUATION* SHEET.

M.aa&A#S PfllllilUJ5

• • .Sheet ~ Rev.#. 1 *. * .

• Reference/Comment

v. 'METHODOLOGY :

-In order to p~rform an ampacity evaluation bf power cables* installed in**

.- 'open air co-ridu_its, a comprehensive: l,ist of affected conduits needed to . . -* , .

be c::feveloped: ._ The following steps were followed to obtain this listing: *

. :1 ~)

• O:uery the raceway.db and .racecode.db Pali.sade~ _CRS data~ase fo get all conduits. This Wa$ accomplished by searching for* *

. TYPE. 7 (RS,. RA;.COND, .ABS1, ABS2, PVC, EMC, IMT a*nd .. *.. *..

~

- FLEX) ...This query result~d i_n 7678 re~ords.*

Tbis iist of 767S ~ond~its was then cpmpared to the "viai'db 2.) ':*::  ; .. :'* ,:.;;

database, wh.ich identifies cables pei: raceway, to dete.rmine ...*

a which ~oriduits do Il.Q1 contain cable.s: If conduit Is iri the . . .

"raceway."db and n"ot in vias.db, then there are no cables routed in. ~*

~ . .....

. it and. it can be removed from the Jiopulation (Examples of .*.** - . . * ..

. ' conduits* containing no cables are: underground ~uct cells for ' . ' .. . .**'

future use,* spare .sleeves~. and conduits abandoned in placef:~ . . .. .;;...

• This compadson resulted in 1242 conduits containing no cables:. '. t ~* . -' * . *  :* '.*7

• .These. 1242. conduits.are listed.in Attachment A.*.. . - . *. *-

• 3.) -The type codes:.t6~ th'e re.maining S436. c~rid~its "\fl/ere r~vie~ed ...

• to determi.ne those *conduits: that,_are.. n()t in open air. 'This , * *

. . .. . includes* tondul~s in du.ct. banks and other underground." . . . .. . , .. , ..**.f

• installations .. A review Of EGAD-EP-:06 indicated that conduits**

• .**: : . . .*- _yvith a prefix of "An* are underground coriduit_s an*d may be ...

• : c .. ** * ::.:*': * ... removed*from this analysis. In additi"on, conduits with a prefix of .... ***

_ .. '.. * *. '.'M.... may also be underg.round. Therefore, a review of various ..

. *.** .. :' . *. .: . . Palisades drawings (Reference IX.D) was- performed to* identify -  : .;

--i.

.... - .... -"rv1" conc;fuits.not.in free air. '*This comparison resuit"ed in. 860 .

. -coridui~s in* locations other .than open -air. : Thes*e: 860 conduits . ' -

. : '* ... are iriclude(j" in. Attachment B. . . .:* .  ; ... .. *.

.~

'..::_~*~.- .. ::: - -

' .-*. 4.( n~'e.remainirig *~576 co.nduits were queried ~ith the via;.db a'nd

.. the 'ck ts; db databases.-~o get the cables* per. conduit -~nd* the *

.:*... . -~

-~r~*,:.:".,. *.'USE'.: of each. condi.Jh. *.It wa_s noted during this query th.~t 5*2* .-:*.

. *.conduits* in the vias~ db d~tabase _contain* cables* not irf the>

• _* * .

..:. ckts.db database ahd they are excluded from furthei:' analysis:

. * -.. -. " Further evalu~tion is required to determine tile validity: of these .. ** .. *.

52 conduits--and their impact on the CRS database. The cables.

a~sociated with these 52 conduits are. included in Atta~hment C.

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

.': .':,:.~* *. ~" . ..

. ** :* . **. *.. ~ . .'*

@) consumers*.

Power l'llWEIUllli .

. . MIUll&A#'S l'flOlilUS$ .

PALISADES NUCLEAR PLANT.

ANALYSIS CONTINUATION SHEET

• EA- . ELEC-AM P-039 She~t __L. Rev # 1 . '_.

Reference/Comment

v. . METHODOLO.GY (continued) .

• 5.) .. A query was pertor'med.to determine what types ('USE' field) of.

cables are routed in each of the remaining 5.524. conduits. For.

the purposes of this analysis, a cable identified as* 'P' carries current,* A.power.cable ,carrying 0 amps was considered Il.Q1_ a *

• 'P..' This query resulted in .1414 conduits containing at least one :

. cable with the 'USE.' field identified as 'P.' . . . ..

6.) *. *A qi.J~ry was pe.rformed on the 14 f4 ~onduits to determinf3 th~.-**

jo~al. number* of cables in each c6_nduit, as Well as the total * .  :.

quantity of power cabl.es in each conduit. - .. '

i.). A query oii the quantities of cables irrthe 1414 conduits. *!*

.. identified 75~ conduits' with a total of 1 cable per conduit' .

. . * : .These conduits, which require no derating (Se~. Minor .. ' ~ .-

'- Assumption. H: were removed from further *analysis and are * .. *.' *'-*

• : induded *in Attachment L. * :* * ** * * ** * * * * . *'**

" * -~~J

".'.:,:* ~- - :.

8.). The power cables in.the r~maining 659 conduits require ... -.. . .* '

..eva.luation to deterrnine. the de rating factors that need to be *. **

.*.* 'applied to*the* ar:npacity va.lues' from the tables in Attachment K~ *.:.

• VL - CALCULATION AN.D. RESULTS

. . ~ .. *. .

..... _. .. " -* ..' .*~ -!<'-.:

• *

• Once *the population of 659 tonduit was i~dentified, the appmpria.te ~ *. **-*

was*:;

~  :

amp~city valu~ from the. IPCEA/NEG tables (Attachment_K) >*' * *.-.*.

• deterrnined for* each cable.** *Per Minor Assumption* 4, the* amp~city * * * *

• . value ,. will. be based.* on .eithe~*a 75°C or a _90°C ~nsulation rating.**

--~- .:

To det~~mi-~e ~t,idh cab*1-'~ ~o~~s -hav~ *a* ratfn~ o'f less than* 90°~, *a'.; - .*

. .. . qu_ery was. performed using the E39.db and .the *cablcoqe:db d_atafiles in*

-~. . the c*RS. This 'query res.ulted :in 66 power cable type codes with an -_ _:

_*a>

. .: insulat.lon rati!19 less than 90°C., Various industry and* plant- * . . . ..

.* _:* *. -* documentation* was .then reviewe.d: to* determine* the. insulation rating of*.

• • • • . thes~ 66 cable cod.es. Examples of the documentation. included IPCEA . . . , **

andNEC .s1:.andards, dat*a frorn installed cable jacke~s~ CRS datafiles *and . .. ';: -

Specification Chan'ge dqcuments (included in Attachment P). The .. ..-._

" . insulation rating for 48 of the 'codes. was identified, of which 32 were . -...

90°C, 6 were 85°C and*.i.o* were* 75°C. The remaining 18 cable codes

' were then. assum~d to' be l5°C (Reference Minor Assumption 4). These

. .- 66 cab.le codes. and the* ratings* used (either fo_und *or' assumed) in. this

• analysis .

are included. . in, Attachment p, . .-.

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

.(@consumers

~ Power PALISAQES NUCLEAR.PLANT

. EA- ELEC-AMP-039

• ft *

. MIClll&Allt'S l'flOlilUJ.S ...

POWEIUJI& ANALYSIS CONTINUATION SHEET .

Sheet _I_ Rev # 1 *

.__ :-: ... Reference/Comment *

• Vt' *.*. CALCULATIOl\f AND RESULTS (contin~ed) *~ .*

. A query between the 34 cable code.s less than 90°.C and the vias.db file '

in CRS resu'lted in 4 T open air conduits containing power cables: *with

• insulati.on ratings below 90°c.* These 47. conduits, and there re.spec1:ive cable*s, codes and ratings are included in Attachment e: . These 4 7

' conduits were then identifieg as having a "rating"*. 'of 75°C, an.d each ' '

' 2able~in the' conduii used 'an ampacity v~lue corresponding fo this * ' '

• temperature. The remaining 612 conduits used an ampadty_*value ..

• based on an insulation* rating of 90°C.

• These ampacity values ar*e *. Q}'

included in the analysis* for Attachm.entD. * *. * * * **

~- . ..

-~ .

. J

• . . 0r

Attac.hme~t D was the.ii re~iewed to d~termine those: conduit~

' coritai.ning cables vvith a' derated arl)pacity smaller than the ,'full load':' '

currents. These corid.uits vvere further .analyzed w;ing a. method~logy to . .r

. *... \

.calculate the maximum* expected conductor* temperature .. This. . .. *

• _, ~

methodology is-de$*cribed in Attachm~nt M. . ._. . . . .

• . . . . ~

VII>. CONCLUSIONS-_ .....

Th~ -;~suit~ ~f -~~j~ *_eval~-~ti~'n are induded in Att~lchnient D and E.

.~** . ' ...

A .. *. *' ,-;. __

. review. 'of this* Attachment D il=ldicates that cables routed in 7 open air* . . . ~-: -. ';

- ; * . conduits have** tUll load currents* above the derafecf a~paCity ~ These 7 ,_-:

conduits* were further evaluated using the methodology -In Attachment ..

• M ancf the resultant temperatures wer*e below the insulation rating of- . "':*

the conductors*...

• Attachment E. documents. botti the 7 conduits with .: . .

. . .~- .

' ' . '*. full load. turrents greater then the derated ampaCity a'rid the maximum

• .- * ._ . * .'expected *conductor temperature. All conduits within the scope of this

. . EA rrie~t the acceptance cr.iteria> ** *. -.

. "~.

• @)~

consumai.

Power * ... . PALfSADES. NUCLEAR PLANT . EA-*. ELEC-AMP-039

.. . PllWElllll& - ANALYSIS CONTINUATION SHEET lllllCl#lliAl!n l'fllllilUU.

• • . -: ' .sheet ._,..a_ Rev u* 1* .-.~-..

. Re'ference/Comment

• • -.' -*~ .. *.. .,. ..

. VIII.' . - RECOMMENDATION *:,. *.:-

• . ~

None IX. . REFERENCES . .**.* ,.* *.

A. * *. Oat.a .required to support the-load currents tor conti~uousiv: . *c .  : -,'

• .". -* ener,giz.edpqwer cables in cond'-lits;included in ..Attachmerit J**_' :,

.* '*' J.

. ~- .:

.* < ~- ~ i;*c_alcuiation DRS-03259(1 '"Deter~-in-~ capacity for- all .

. -_transformers, cables,* circuifbreakers, load c'ente-rs, and ,; . ~-

. ---- -MCC's*-.**. -, , ** . .

.r_._,:: *-.* .* . . *.

• .. Meeting Notes* f~r

  a meeting* betweenR.-Hernande~ (S&'.L) .* ~.

-* and B. Baker (CPCo( _ - - '* * . . -' .. - . -

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

.-**J,-* *.,

• • , -P~lisades . - . _;. : :... :_ . .

Drqwings _and .

other" Plant'Data  :: .. **** 1:.-*

~

'.. -~  : . . . '..

~- *... - *.*r

.* R~port$-from.the .CRS Raceway; Database, Attachments-A,:B,- C/ *

• B.

,L and L-*- * ' * - * * * * * * .... _ * * - * * * * .. _ ...* : *~ '*..

. *... .. . . *: .. : ... ~,.-. .

~ ...

• . :. *. "".  :-:f* *'. ,, .., ....

. . * " .. *. .EGAD'-EP.:06,*Revi~i~n 2,**"Circuit And Raceway .Sdiedule'** r . .- ...... :~ , " ..

- . : - - : * *-- : Number Designation . .* * * * * ** - ~-.- _:: * * *.* * .. ..

• • o::' * -~ *,';.~ * * * .*--'I,*._; __ '.*.'-'~-~ *,**;', . .-.~,-.. *.

• t~*

• . . ..  :**~  :. . . ;* ~ .* -** . .  : - ..  : .* ....

_-; > - **-: .. Palisade Drawi-ngs. E-301. through E~315, J:~354; E-357, E- * ,_. ~* *..

. . *: :;: 369; E-375 an-d the ESOO Serie*s:

• _ * ' -*. --- . . ..  : . *: ...

.,. . . :: :.:,;;!;~'.~;.-,_,.,it~

........ * > * .(_ E~ ~i;~i~; ~{~~~:~~,;~~£tarrying Ca~le ROute;fin ~9~ 'c~nd~its < ** '* . . ..... <;(ii j1

--*---:--_ ,'-(AttachmentJt<: * *,<*-~-' ~. :-, ,*.:'--~,"-"*-:*< -:*.* ... * * * -

• _- -- -, -. .. *** * . - . * * - .. -* * - -* *

• . *,*. . . . - ; * -* * * *. : * * .* *:... * * . * *, -* .,

• t* ... *

• l .  : *.'* .

F:' . -Am~atity Values inc_luded)frAttachment K wer*~-6btained frbm:::<*

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

• ~. :

. _ " ..* * - IPCEA Pub. No. P.-:4q-4-26, "Power Cable_Ampacities,~.

• _,.Volullle _1 ~ .Copper Conductors" * * * * .

.. :.. *--~.  : '. -.:. .

,,. ~-"

~:

.._ . * -.

• NEC H*andbook,* Sixth edition, Based. on the 1 99a Edition_* ::

l -. * . * * . .. * * * . ' .* - * . .. :*

• ' v'l; ",* **~**_:>~-- .. -_:.-::*_:';. ,__. *.** , ....... . :. .. ....... ....

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

\. ~* .. . .' _,_  :

1.:

. *:*'._ ..  : .- ~ - .. .

,._ ...... .. ; ' .. -' ~- ,_ .

.. -: .~f

- PAUsA:D-i:s NUCLEAR PLANT ......

ANALYSIS CONTINUATION SHEET _- .*; ~

Sheet~- Rev #._*......r__

~---------------------

.....----------------..,..----------,-. Reference/Comment -

' IX. - *.REFERENCES (continued) .* ,.. '

.J G. :_ Amp~city derating value~* du~ fo insfrumehtation/contro(cable .  : . *~: {

.*mass occupying the conduit with the power cable and multiple power cabl13s i-n the same conduit {,A.ttach.ment H). . *- -

• X. .- * : ATTACHMENTS

~. ,

. -~ ..~-*

• .A. ..:* 1 242 Conduits- in the Rac~way Database with No Associated .* . * : ~* -

ca~les inth~ Vias database " .>.- - - . . _- _* -

B. _- :B60 Conduits in the--Ra6-eway Dat~b.a~e .that ci~~ noflnOpen Air

. ~.

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

' .* - , .' c." :contjuits in the Vias database_ Containing Cables *IVflssing From _* . - _. '

_- *< .: the Ckts Database .... * * - - _

I --

. "-*. ,**_ f-.. . ,. - .....

..f: ..

• • . b. Listing -of Deratin-~fAmpacity: V~lue*~ and _Perc'ert of f_Lc:_._ . *" . - .. - ~.  ; . ~ .~. - . . -*

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

. E: - - Listi*n-g of Cbnduits_ Co11tainin~ Cabl~s With a-FLC Great~r. Th*~~ .- *

'. **:- :the Df:!:-Rated AmpaCity*: ~<- - . > _ . _ ** * - .. * ~ . '.- ..

""..  ::. :. ~

• • *. :..*,:_~-. F_:< _;Segregation Fo:r-_Cables whh "U?E".-FielqBlank 1.n CR~ *

• .: ... **.. .. .. * /

.. ._'.,  ; . ').,I

r

- -- *r G. -

• Enhancemerits* t~ the CBS Working C>~ta_b*a~e-:*

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

,***:'.. ": *(.

• • ~ *.  : . ,. ;  :' . . **~ *: ... . .. . ... *. : ,

. ... *. :. . .~ '

l. - Enhancements to* cable Numbers. in CRS For "No of

. , - .- Cables" Fieid _Bla,nk '* . *.' ....-

. " r

'~ :.

. : *~- .

~** ' .. - .

-3c: .

• Ehhancements.-to Cable Codes-In CRS

• ~ ,: *:

1

, *I ' *  !

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

• o:' * . " '* *"'

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

. : -:. _- . H ... Analysis for determining the derating facto'r due to control anq * .. * .. :. *. . .. . *-*:

• * *.. , - *-. . *

• instrumentation cables routed with power cables in the same"_:__ ~.

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

. _ . , *.- __ racew__ ay; * .*. . *  :": , .

• y - - ..

~

. *- .. L~ _*. 124:0:-Power *cables Ro~ted in the 659 Conduits --, -..

~

• • w I

• • • .. J.:: _ Supportfngt>ocumentatiori Required.For The De~~.i~pment.of * "

• - -* - - *. Load ' .

Currents . .. .

for Power Cables- .

in Open Afr Conduits.~ . . - . . _, _

~ ~

• I*  :* .._

. * ~' -

• • .*-~.,~* ... ~,*-,-= _*._.-.-_:*~ ____________________________________________.....,__._,

~~~

• . * . . ~"

. *f.

~. Power

• . t::t:J consumers

PALISADES NUCLEAR PLANT*. EA- ELEC-AM P-039

. . . PflWE11111fi

• .ANALYSIS CONTINUATION SHEET MIUll&All'S AilaGuss Sheet. 10 Rev # *~t __

Reference/Comment

x. * * *ATTACHMENTS (co.ntimied) ~*

• - K. . Ampacity \iaiu*es From IPCEA Pub. No: l'.'-46-426. "Power Cable Ampacities, Volume 1 ~ Copper Conductors,"~ and NEC Handbook, Sixth Edition, * * *

• 7.55 Co~duits Containinij Only One Power Cable*:

• -

• M. *. Methodology for Determining the Conductor Temperature of

. Cables in Conduit Routing Poin~s. . * * :. * ., ...

Supporting. Docume.ntation for* Attachment ~. M -.. - .. -

Supporting Documentation Associated: with Cables H*~virig *. - *

• lns.ul.ationRati,ng Less Than 90°C. . ** * ~ .

.  :;;, .. ~.  :* .*

~ .. ..  :

.. ' . -~- . .

• ~

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

.* .. ~

.* ** .-=* . *.

. ~

~-: . :, .

• • ..., ~ '  :

. .. ~

~. "

": .**_.. ~ *

':  ; *C *. ; *

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

• • ~~.  :. .:

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

• • .. 1*',

. ' . ~ * '.

'*ir ,.

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

,'\

~ ', ..... ~ . -

..... *. ~----~----"'!"""'--*

. *. *,'. ~ .

I *.  :'*I ;;:: . ,**' ,. . ,,* - . **.  ! . ;*** . . .* *. ..,.

• * : EA:eLee-Ar.n'p~o39_: _ , .:;. :::, .: .

Attach merit H*

• ** t-

. Page 1 of GB ATTACHMENT.. H

~The* purpos.e of this* attachment is io provide the methodology for.*

d_etermin.ing the ampadty derating factor for c::ondults carrying both power ..... *

. and control cables irt a single *~onduiL * .

.. -~ ..

," " .~.. *'

I **

• - *~*

- ..i.* '.

.. 'c..~

.\* ..

. ,.: . ~'

-.. -* ' ~.'

• "* *: *- .. * * ' I ' '

. *~

..... *l. "".:

• . --- : '.,~ .

.... . -~ ...

~ ~ . .

. .. . -~

4. -*

.- ~ ., *, *. "~

.... * ,-1"" .

• ,._ : *J.; ..

. J*_

..... \,

• '}*'.

. ~*

. Prepare ".

• Re~iewed~:s)_Jlc-a[oate; I

• 3 / 2¥ /-rz

• T) .. - .

l ~ * ' ~ .

.EA-ELEC-AMP-039:

Att~~fl'.'ent, t:t ,. . . _

• Page* 2*ot ....... "*' *....

.). **:i  :::: -i

• Purpo-se.

of The purpose this section. is to determine derating factors for conduits with mwtiple power* ..__ ,*

and c6ntrolcables in a single ronduit~ The oonduit is assumed toha~e 1, 2~*3, or 4 po~er * .*

cables. In addition, the condwt is assumed to contain control cables th~t gen~rate negligible heat; ht.it. whicli* aCt as a "b~et* around the ppwer cables. . ..

.*Methodology '

• The de~cing calculation comide~ .both 3* ~d 5*. trade siZe oonduiu containing three phase. ~- ..

.

• circuits of single co.nductor, #2 AWG, 600 volt' cables: The ainpacity fo_r a singie circuit with no o~er cable$ in the cond.uit is 130 amperes according to AIEE S-i3S-l I IPCEA P-464~6~ .

• The conductor tem,perariire.of condµits containing 1, 2, 3~ and 4 circ:Uits ill.a r oondwt cind .*

1; 2, and 3 circWu in as* conduitplus_sufficient 2 conductor #.14 AWG cm1trol cables to fill 40% of the conduit cross seCtiorullarea of a 3* conduit are calctuated using a Mathcad ~beet . *

• .:.-The lo~d curr~t in the power cables is then adjwted by hand toacllleve the rated con:ductpr

. _ temperature of 90°C. The ainpaaty multiplier iS then. the* ampacity of the cahles in the t~t' ...* ***-

• conduit diVided hy the ri.o~ ampacity of 13Q ainperes. . * * . ,- * . * . t.,,*

• "* ' ;, .. -*~

. The.Math.ca~!' sheet rised for the calculatiom ~a moduication of the Mathcad sheet wed f~~ ....  ::_

a

• .'the cal~tion of the_condU:Ct:ot tempera~ of cables in. conduit in f~ ~-.The pnnciple .: ..* ~ ,'* ~~

' modifica#ons is th_at the l9ad curRnts of the power cables are multiplied by a factor F~t: .A * .

Math6id global define statement is used so that Fc:un-mt can be s~t near where the conductor ..

• tempei:ature is dispLiyed for ~~venienck * * * * ** *. -:. . ~~.

..,,. *. ;* *. Within th~ Mathcad.sheet:-the cabl~ iii th~ conduit are divi~ :int~ three gro~ps. The cables .: *

. ..

• that are unloaded are .oonsiderfd "cold*, and are ~ed to surr0itiid the. other cabl~. The .:...

. :* group of cables that generate$ the ~a-~imllin amo~t. of heat per wilt' vo~~e* ~e the ~hot,;*. :* * ... .*-**

.. _.: cables ~d u,e. loeated *~the center of all ofdie cables~ Cabies. that are neither "hot* or "cold*

~

.* ... are oonsidered "warm* cables.: The "warm* cables are located between the "cold* and."hot*

(\cables~ (Beeause of the ~~ of the test caseS used in this,. cal~tion th~ da~ only- ~h~ -.

."hot** and "rold* cab.les.) . .< ' ' . . . .. . . . . .

• The co~~~t trade ~:is:*:teiJinto. ~~ Mathcad sheet. The 'insi~ ~utside arid. diameters of. ---*.

... -the conduit .can then be deteriillned by a lookup table iri the sheeL The ~nducto~ size, ..* *

.. ~: . numbe_r of .cables. in. the group, number of ~nductors in each* ~ble; cable 'diameter; eabl~. .

• • .:* . :~-~

, . ~ and load Cui-rent for the cable iS read from adata file~ -The oonduetor remtance*.of th~-..*. .. .

.. _. -* vario\is cqnductoi;s a,e *detmnined from the conductors~- Us~g another look-up_ table. Th~ ..

• **'.:*:.:sheet then calcuiates the heat generated by each*cable group. Next, the sheet divideS the heat

...*. '. *.. generated by eacli_cible group by the area occupied by each cable group to give.the heat . . .

• \ . *

• intenSity for th~ cable.group. In order t.? facilitate later calculations~ an array, Hot_Flag is set ... ~- ..:.:

1.".*

~* . *...

"'J.. ~

• .'*I'

• EA-ELEC-AMP-039 Attachment H .. ,, . .*

.*?a9e *3 *at ..... *: , *'.:, . :,

. up. E~ch member of Hot_Flag is set to 0-if the cable group generates no heat ("cold"')~ 1 if the.*

• cable generat~- heat but does not have the greatest heat intensity of all the groups in the , * ' ...

• 'cond~t ("wami"'), and 2 if the eable gro~p has the highest heat intensity ill the coµduit * *

.("hot"').*. . * * .

, Usiiig Hot_Fl~g to classify the cable ~ups, the sheet.c31culat~ the area occupied the "cold"', .

._ *-"warm"'; and "hot"' eable8. Since circular cables will have space$ bet-ween them when they are*. _. -

._ ~bundled together, tP.e area-Calculation8 assuine that the cables ue square to allow for this.

additional area when there iS more than one cable in .the group. Bas_ed on the area occupied by*

-: .. each layer, the rua:metei of the lciyer can then be ciU~ted.. .. . .. . .. -

. .°"*.-';._

.... *The heat gene~ted by the ":warril"' *an4 h~t"' layers is. then c~kulated The. heat intensity ~f 8

• • the two layers is then calculated using the area$ of the layers~ Also, the total hea~ generated in : *

• the conduit is deterniiiied.' All of the heat calculations are. bas'ed .ori cable conductor . . * . *, .',

tempe~tu~

of 90°C, th~ _rated operating of temperatlire .the cable

~onduct~rs.

• * *,. T~e surface tempera~ of the conduit can then be Calru.Jated. The h~t dissipated from the* . : . * **

• ' :.. :. outer s:Urface by*_convection and.radiation is first ~ritteri as a function of the mrface . '" ..... : .. ' .

.-- - temperature~ Thes~ eqUations *~ be solved 'iteratively to find the surface t~mpe~tu~ at ~-:* .*:.

.. whi~ the total heat dissipated in the_ conduit equals the heat generated inside. The . * .,

-: temperature clrOp through the conduit itself can be calculated based on the conduit being a ',***

• *.......hollow cylillder.

- . :The tempe~~*drop-thro~gh th~ air gap be~een. the inside surface.ofthe eo~dwt and th~*.. *

.. . .: .outer surface of the cable mass is. then cilculated tising the seini~pirical 'f6ruuµa given by.- .

• • . *,,Neher aild McGrath. The. t~perature drop through the "cold* cables iS cal_culated by t~ting. -* * .

'the "cold"' layer as a h~llow cyllluler. * * * * * * * *: .

.<.* The.tempe~ture chop ~ugh die* ~warm"' cable'i.1yer has two ~mpo~~ts. The temperilture" *' :_-:~ -**.*,

_** drop_ caused by the flow. of h~t from. the "hot"' cables* inside is calcUla.ted. by treating the* .* *.-* . - * * * . . ;

.. " . : "warin" cables aS ahollow cylinde~. An'.additioi:W temperature drop iS caused by the heat: " . . . . -

. >.genecited within the. "wan.n* layer. This temperature drop is calculated by a formula similar

. . **,. *>\ to that .given in _S_ection 2-~ of Holman; _except the equation iS fitted .fo a differen~ initial ' *. *

- ::': oondition to_~cco~t-for th~.:hollow c:O_re of.this layer. " * * *: *.' - > '.. *~* * * : ... -

' *_: ~~ :._ 0 * * * * ' .*: ' " ' * '.,~- .* T, * ' *

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

• The t~per.l~ drop through die. "hot"' laye~ is c3lculat~ using Holman's E~tioii 2-26.

-* * *

• c;:

• • • • • _- Tlie cc>nduttortemperature is thm the Surface temperat\ire of the conduit.plus the~ of th~ *.* . - *-*:'

• • ' ~p~ture drOj>s described~ ' . . *.. ' . . . . .

EA-ELEC-AMP-039

• " ,A.ttachmen_t,H ... ** ,, ...

"" Pag'e "4 of ....... :.*:::, ***' -

• Results and Conclusions

-**~-*

The reswts* of thecas~ex~ed-aie a5 follows:.~

Nuinber o{ .... ,-'. .Conduit . Mathcad File

• Ampacity Power Circuits No~ Size

• Name MUitiplier ... *..

l* 3 11

.*

• p lc40s.med 0.915.

l 5 II *. . . . p lc401.i:ncd . 0.955 -*:. *.....

• 311  ;, p2c40s.mcd. 0.688

...

• p2c401.ma! _:

• 0.722

. p3c40s.mcd

• 0.584

-- ... * *. 3 511

• p3c401.mcd ~ * . _.*o.615* *

- :.. -~

. .4

• p4c40s~mcd' 0.519 ,- *. .. *:.. ;"_*:..

..* 1 . *_ 3~. *.. :The increasecl area ocaipied by power cabl~ Will red~ce the* area available fo~ die: .* *.

I * . -: . blanket- of oontrol ables. * -~ -* . . . * * - *

• _.. . * ** * . * * . **: . .

• Nu.nlber'* - Am ,P.aci. ty** * .- :*c*', *.  :-.*.

of Power~ Multiplier;* .: *.. :. ~- * .. --~

-ciri:uiu .. **-*-.-.. .

.* .1 . " - ". 91% *...... ..; .*

........----+-------.*-* . *'.

'*69%  :'" ".,.._ ..

..... w **- ...

• _* 3 . 58% .. *...

. . 52%

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

~-.  :

..* .- *~

. . =._.: .. : - . -. ~- - - '*','

. ... *.  :} . *,' ..

, ( .' .. ' ., -,-. -.  ! ,*** *

.: *~ .

EA-:ELEC-AMP-039 *.

.. .. *'*. .* Attachment H -

u* "::' :.:* '**' PagEf5 :bf; .**, ::: .::, * *, ......

- ~-' -

.. References*

• 1.

2. *

• *~ohiian, J.P. 1981. Heat Transfer. Tokyo: Mc~r.iw~Hill Kogakusha, Ltd.

'Neher~ J. H .. ~d McGrath, M. H. 1957. The Calculation oith~ Temperanue.

• . Rise and Lc)ad Capability of Cable Systems.* A/EE Transactions* on P'ower .

Apparatus a~ Systems. 76. (October): 752-772. . * * * * *

3. .. Insulated*Power Cable Engineers *Association and Insulated Cond~ctor8 .* .

Committ~ of the Power Division, AIEE 1962. AIEEPublication ~135-1/

. iPCEA Publication P-46-426, PowerCable Ampacities, Volu,,;e 1-C~ . *

.... *conduct<irs. . .

New York: Arilericarilnstitute . . **-

of Elect#cal . .

Engineers. .

. . ,* ~

.  :~ .

.  :. -:** . ~' ... ~..

-~. ~ *- *, - -

• . * - "=-. '

..,. .~ .

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

.***. ;, -.. . f~ . .

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

.. ~.

~- . .  :,-;.

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

... - ~. -

'** ._: r: _; ...... -- -*

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

. .* :~ *.' * .

. *~ . .

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

...;,. ( ...  :

. ~ *'

}.

EA~ELEC-AMP~039 u  :=' =::; 'Attachmen~ H u ***' .. ::, ,*.

Page 6 o~ *-*** - - . .. . . ~. .

• ~ .. *.

.. . .  ; -~*

. Test Case: Single ,* . '

Power .

Feeder - *. in .Conduit; 40% Cold Al~ p1c4~.mcd Conduit Data

• Condui(Trade~Sae :::*3.~.

EnterCabie D~ta> :: _ . . .* . . -~* * :*

1).,. *

• cable data:= ( 2:. ~ .1:.: o.s *. _o.o _po. cable Data Column Definitions: ':*

.. - . -:-._ *. . 14 28 2 0'.37 o.o, :~ 0 . 0 .. 1 -Conductor Size (AWG) * * : **

2~ No of Cables **

..-.. '* *- *. 3 ~ No of Conductol'S * . ~--*

. 4- Outer Cable Diam .. (Inches)- . ,* *

~ ~-

~

• 5 - Not Used . .

• 6 ~Load Current

• t-Notused** .. :.:-:. -* *'

l ~

.< * * >>, ~: .. . ......

r * .' ,."

. ' ~

N~~her'...of-~ble grou~. -in the data * ..

-.*~

• .Data sac *:=*ioWs(cabfo 'data). - Data_size =2

. *

• Z;:~~;:;.~ar****** .*:

• .. . , ... *.- \~ ..* ' ~

• ;Th*nmal*Reslstivities.- . -*..: * ;*,:*,

.. ~ '* .. 7

..  ::.. *,~

• *:. - * * * : ** *** * *. *. *. * ( *.

• p~ :=40ri*K*cm.;watf 1 C_ a.bl*e*M.~~-* .(Stolpe_*.;)"

• * .. *, .* Pinsut'~SOO*K*cm*watf Insulation** . .

• p*~.:~s~.K~ah.~~~.1- Jacket.. .*-i-~ :~2.QS*K-~.J~- 1 condultthe~ai ~o~d~~nvftJ .*

~ . '--~.'.

~ .~-,

. :t.

. .. . J . . .. . _,. . . . . (S&L Standard. ESA-105) -*. ' * . ':_.

. . .

• Ambient Temperature ... ** . "" '  :,: *; ** * . ,* : ;~'

. . .r am -.* .b

. .. c: :=.40- ..*_K:_ .oc<.. . .. <- .*, . ..... .*.:*:*.- *.* .. * . .. ...~ '*

. ~. ... '

. ..-. *~ ..- 1'

• ** * ""':, *. ' . -,' * *._ ( .L ' ':- .' *: -.:.* *

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

-: ... *. .. :. :. .I. '?'*** .,,_._-

. . * * "*'

• Misceuaneotis *~onstan18 ... ~ <_> *- -~  :.

,* *< *.::r::zirt.~z:r~~c.::::

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

. . ~ -.

. _Holman, page 307 *** * .. *

'.:°' .*

~- *.

- I' * *' * * * *. * *' .  : *.

.,.£ * * -

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

• . £ ~ :=0:3-~'.' _c~ndult emissivity '. ..* * ... ?!-

. ;-:~ . . ~ -.: . '

~-- *'; ' .:  :~c

• Convefsi~n factOr between degrees Celsius and KeMn ,:_ ........

c~ :;*2~3:1s.i(

• --~

J

• -. f;.

r . .,* * . -

• . :* *. r&mb:~r~~CtoK>: _r*&mb~.313.IS:K

, A

'~

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

• • ~:

. **- . . . --~

-~'

. ~ "; . .

. *-  :*.'* ... *.~ '..,

\, *, -.*...

.EA-ELEC-AMP-039*

ATTACHMENT H

• Conduit Data . *,  :' .

._* Inner_ and Outer Diameters, Thermal ponductivity, and E:misslvity o.375 .0:493 0.615 o.s o.622 o.840

. 0.75 '0.824 1.050.. Referenee: ANSI cao.1-1966 1.00 . t.049. 1.3 tS' Note: The inside diameters for conduitS built to ANSI '. .. ,

I.is . 1.380 ' t.660' C80;'1-19B3 and later are somewhat different. The 1966 .. *,

t50

• t.610 1.900

• version *of the standard was selected. based* on the

• eommerical operating date of Palisades Station* * .

Coiiduit_SizeS := 2.00 2.067 2.375 *in .

.

• 2.SO 2.469 2.875 .....

3~00 . 3.068 *3.500 3.50 3.548 4.000. -*

4.00 4.026 .4.500 .. *' -. , ' -:.*

S.00 5.047,'. 5.563 .. ,..

6;00 .. 6.065 6.625

\

• .. - . d~ 1intap(~1_Si7.cs<0>*.c<mdw1_Siza<t> .~duit_T~~_5~) d d =3.~*in.

=

~(cood~1_s~~>.c~1'""siza<z>:conduit_Trac1C_size) d~~=1.s_~in

~

• . dcoodo  :=

. . -~

-.... *\ ... *

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

". ..- ~- .:

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

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

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

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

-.~

_; . . . "" " :'<* *-~- ..: . ~~

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

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

- . . ~*

~ ..... -~ '.

-~*

.~ . " " .. . .

. ~ *::***

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

..*:.. ~: .

.. . ~ "' ,"

EA-ELEC-AMP-039

. ATTACHMENT H *

.: . PAGE:;B OF *. *: :; '>

' L~Qk~p Table tor' cci~ductor Resistances

-~. .

at 90°C (See Sargent . .

& Lundy Standard ESA-102) 1 0,0161

. ... ~ .

2 0.0203 4 0.0324 :

6 0.0513 s* 0.0818 . *. . , *'

. 9. 0.103.

10 0.130 . .. ~

12 . '. 0.206 . * ...} *,

14. . ..

0.328

• = .

• 16* o.s23* .....

• 110 0.0128 . . ' . .

1 Table_si7.e := 210- Table_iesist := 0.0101

• 1Cf 2:0*tr 2'0 0.00542 ~

.;... ~. - .-

300 0.00453 . :-. ~ ; ..

310 O.OOS04 350 . 0.00389 ' ... .;.

400 0.00341 410 .*

• 0.00639' .

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

'*I '

500 0.00275

... -... -~

6oo 0.00231 150 ().00187 1922 . 0.108 .

1925 *i

~

. 0.217

. . .. . :_ .- ... *' <O> .* . . . '. '. . . . <1> ' .. ' ., ' . .. ~> ' I-';" . .

,. ~ ~le~si7.e*:=. Cable_~ *.~"."cables := C~;data . Numberj-0nd11ctors. := Cable_data ..  : *.*. -~

• . Cable dia := Cabie data~>:iJi. 11oad:'" <:able_data  : *F ~urrcn(amp * ~ ** *: . . * .... ~ . - ..*. ~

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

, . .. . . . .. . . . .. . " .: . . . .. ' .. . . . 2*. . I .

' .. . Q ~l~~iDda :.= ~umber-~bles~_inda* Numbcr.;.oond11ctms0aaa_indox* (I loadoaa._~) *C*ft"

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

..* *::: ':* Q~lCoaaa_~-~:~ .. Q.ft_ 1- *lintcrp(Tablc:.,sizc,Table_~ist,Cable7sizc0aaa~*) .* :~. .. . .. *.

. .. ~cabl~ indiX.

.. ' Qdc:nsity~ inda:::r '. *. ' :2 - . ' . ' ..

.* . ...**.*. . . *~ *.***. (Cable_dio__.....) *Numboc_oabloo__.....

-~-Fla~~~~.~= -~Qdc:nsi~0asa~~*Watt'.tr ,:~*

• 1.0)

• * ** 4 1 2

.. ' ~:

i. . ~

. .'~ :

• .. EA-ELEC;,AMP-039 i::: ':;: ::ATTACHMENT H U :::: " u PAGE 9 OF. _ __ *:: . ..

. Temp:~ ~-(csort(ausmen1(1ndex_may. q ~i:_ ) .1)-.*) 2

• .*.: .: * . . .. ' - .  : .

• watt*ft . **in Hot.::,index := Tempo.a * . Hot_index =O Q..1~-* : -'Ho~=O**watt*ft" 1 *in: 2

• wou:1ltyHot. -indmf.

• Hot_FlagHot_indmt.:= 2 : *

• Hot Flag now has wlues of: .- '* _

Ofor unloaded cable9

• 1 for "Wann* cables

• 2 forthe hottest cable in the.conduit Diameters of Laye~ - . . ..~-*

• .. ." .01am~ter of ticittest cable *. * .***

.*._. N~,...eablesitot_im. =3

• .A~:~ ~-cablesHot_ilida*(6ib,Ie_diaHot_indmc) 2

• . - -_ - * *: -* .(Cable_~ot indG)l -*

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

. ~

Abotf~:= ~Number;..cablcsHat_indm( . - 2. - . . .r* *. :

.* ._,-:*:~ .

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

d~ -,,;.o.s *iri 1

dJiouest := Cable_diaJtot index * -. '.***.

.. ..dbot."' .ii\.(~-cablos~ ' . . .-~>' **.4*bot .d1-n) >dbat =0.9;, ..... . 0 ~H

• '{'-*-

x ' ., . .  :..*. *"\. -*~

Afea and dlan;eter of ~rm~ ~le iayer . '* -~- .- ~

• .-- (Data_siz.o_- 1) . * . *__ . , . .. .

-L: -~ :.:*. ~ Ho\fug;;.1,(Cable_diaj)_2*Num~~-c:iblcsj,*O~in l: _AWami =<Hn~

• .'* * *"j 2

..* . A~_:=.:.:*'.

~ .

• . J*-o.. .-* . ..  : . *: ...

J .. . . . (Cable dia.)

cO.:~~s~ -. I) 2 _. - '. - - '  : ... _.- *1: { ~

A~:* .' -_ .L . 1Hot~F1agj*l, _ 2- J *lt*~wnber_cablcsj,O*in 2

,; *-*. J*Q* ::' -. .

__*. ;-._ .. *-A-wum.-- (d hot)2 .._.. >-.. .' .. ,

d~~ =0.9ri;~ * ...* *-.*,. *"

.. d . *:r 2* + -- . . ".* . ~~ ~ 1 warm. *

~

• x

• *2

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

"-... .- . H.,.

0 ',* 0

~ ~ '.

Area and diameter"'of *c~id* cabie layer . . . . ' . , -~ - *. : .' . '.. . .-

-~

• *. * .*_ .* (Data siz.e ~ t) . , c: *~* . * * . . *, * - * : ** < .. ~ . - -* ' * . : ** *. . - - **...

>;A~_:~:<:

2:_: -.. ~H~_flagj*o:(c~ble_ciiaj) :N~bcr-:-~blesj***O*~i] A~ =3.S33.*iii

--. .. *j*O.* . .*.. : .*

2 2

. : (Data sac -: 1) J . *. . .. (Cabl dia )2 . .. . . . , ... ._ *1

• Acoldr'.:=::: : ,,

. j t*_o:. * . ~Hot-Fla8J110, . *:- j *x*Nwnber_~bl~j*~*in2 . ~

.. .  :. . .. . . . i .. - .. ,_. . .

.._. --~

. >. '. * '  :.* (. ' .- )l . ,,,: ,

dcold :_= 2* - - .-+

Acold,_ dwami .

' . *. -~- . 2 .. *. '* *..

.\

EA*ELEC'."AMP-039

,,ATIACHMEN:T H.

:*.. : =*!* .: ... : .:. * .* * ..

J:.

PAGE 10 OF.

• =.**

.~-.  :*.(d ~)l  ;..... <. -

A~:~*11:*-. t ; .~. . :. ~ -

A cond =~.393 *in 2

' ..

• 2. .

(riata~si7.e ~ l) ; .* .. *.-... .*.(.Cable dia.)* 2 . .

• ' v

. . . . . 2:

. j=O.

':L NtJinber-~_b1esr11:* .... *2-. *. J _ ..

A. bl =3.6-.in:

ca e .....-. .** *

• • • .... * . . Ahod-.+~~ldf-+AWaniif, <<. , ., :. " *AbOa{ .. Acoldf Fill . .. . A'w~f Fill,..u ::; . . . . . A*. ..* . *. . . . FiltJ>OWel':_U ::r - A . ..' . rill_cold_u := _wum..;.u :: *. A_ coad'. .* .. -.:

.*..*. ... cand ..** *. ~---...a *,.A --.:..;..a

\iUllU tintgeriet&ted by t1ot cable& . .. ' . . .. .~ .  : '~ -

' . Q~:=*Q~ .* -.** .. ":. . . . ..

Qhot_=8.617.~watt:tr *.

.* . l :* .. - .

~

. ~:

. . . . . l1lot-indmc*

. .. ~: .

. .Heat generated . . ..

by "Wann*.

cable&.:: ' *.

. * ~.. :"_...  :-,,"t

. *~:-.*

• • .(riata_s~-,~* .1>* . .. . .:~ . -.- .. . . . . .~ . **..:*

.*' _: *~**.

I::  :~Ho~_~a~j~.l,Qcable(O*\V8U*~* )

1 . *~ ~ . . . . ;*: . : *. *; l

*Q warm.= 0 *watt*~- .. *. *

..> *:,.'.j*O . .:

~

. ~' ..

~ - ....*.

_, ... .. -~ .

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

-*... * ~ _, . ! .

...,""\. .,:.*

.~ .. **~:

,._, r. '*'

.. *~ ..

~..-

.~

. ~'

~... *'

~ ,

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

• .i *.*..

.:~.

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

~:

. ~- . *.**

.. EA*ELEC~AMP-039

!.'TTACHMENT..H

.(.i *l ... i ' .. i i'.!. ; __ ; .L ... i*. .. .*  :*;i ~;:: ..

• PAGE 11 OF,...*_ _

-. \ .

. Calculate the *slirface Tempe~tUre of the Wrapped Assembly . * *. . . * .. * .. ** . * .

. Note: In order to solve.the energy balance equations, the equations for the heat* .

. .. ' dissipated by the wrapped asseinbly will be written as functions of the surface .

temperature, The area of the wrapped conduit per unit length is equal to ic times the diameter of the Wrapped asse_mb~. *

• • . *Heat Dissipated by Radiation .* r.

.. ~"

• ... H*eaf Dissipat~ by Convection 1

. -. . . .. ' 5 . *1 .. .*

en:=~ l.l2*~tt*~***m* .2 *m4:(T-T amb)* *lt'd~..a-*(T- Tam**b*)

Q

.c d* \iWlUU

. . *.* . . . . condo . *.

• - -. ~ ,.

.. . "!i

. li11tial gUeSs ~or iterative solution 'of tf1e surfaee temperatur~ of the wr&J>ped c0ngutt . :_ .

. ~*.~ . ~ *.

..,_., .)

TP:ss  := 330:.K

-~.

• *<(

Given ..

Qtotal~Q ;(r-~)~~ Q c(r. gU~:.r . Heat disSipated by radiation. and convectio~

\ .. *

.  : \' '*. mushquai h!tat generated by ca~ies.. .. .."i*

. -- T ~ *= rmd(T

,.*. ~

• )- >_:. -~. -**

. . ~* *  ; ~* .-:.'  :'  ; 'l* *.

. *.. *, Tc0iuio.=32Z:,Jfl*K~ . >~ _*. T~ - CtoK =54.161*K c 0

..Surface.temperature of the.

. ** -~ ~\'.:.~,-~~.\:.* . <> ~-~x. ~-- --*. . . . .. conduit * * .*

J .....

,. ~- ?Z-'="'()~'-J<~'* .. *

. . -~ *: : :..

• , .* ~,. . '. ~~* . *~: .-

..... T . . -* .r**

. ~~... . *~ .'

.. .:~

~, ~

~ ..

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

. *-. *.I* .**'._':- .

-* .~

~.,

' .. -~*.

.EA-ELEC~AMP-039 ATTACHMENTH PAGE::1'2 OF::* :::; **:* .. :* -* *.*

..: -~ *~-;: .. :

~ ...

Temperature Drop .through the c~nduit ~* .. ._,I

• : .k - * - : .. * *

. . 1.

~T cond := -*p cond* ln - - *Q total (d condo) See Equation 2-8 *9f H.olmari *

. .

• 2*s dcondi .

• \

• . iir cond =0.012 *K*. ..~

• -*; . ~. -* .

. ~.: ..- .

Tccmm

• 32'p~ *JC . *'*, * ..* .T~mpenrture of ~e .inlld& waU of the condUit. : .

. -~.

. -.:,- .. ~- .

. --*. : '. ~

.rcaadi -.GtoK =S4~1_7J ~K ..*c . . *-:*

• *. Temperature Drop through the /.Jr Gap. tnsi~e the conduit **

• .. ~.~~ toi Neher-McGrath Formula forTe;.,peratuie Orop..in the c~ndUitAlr Gap'

• ' *.. *I  ; ,*  : . * .

-~ .

. . . *. ( . .~ \

. . . .. I . . . . *I ... .. ."*---~:

• A;. := 3.2*K*ft*watt -. *m *' ..

. B' := 0.19*in. *-.; .(

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

A** *

• See Equa.tion 4'1A of Neher-McG~ath

.6T c',c;i.>dpp* :~ B' ~ d cold*Q *~ . . -.

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

6T~dp~ ::s 10'.'~2 *K* *:, ,.*;:,;-_;> .* . .

. . ".  ; ...;*. . . *: .:*: :~(;_): ... '*. *, *,

.. ! ~ -.= Tcaadi.+ ~:roo..d~p*.: :*.Temperature at the outsl~e sUrtace ~l~~ cable masa* .. *. ::-.

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

... .'*i. ... T . mass. . .

. =337.906*K. . . ..

.. _.~

• . : .. . .r~_- etOic*. .;;64.1s6~1C-c*c> ... , .

.:rempenmn dn,p tttrou;ti the *cotd* c:abies.

... ~~ .. :... ~ -.*  :* .

• . ':,.- _:.~

EA-ELEC-AMP-039

. ATTACHMENT H. ,

i. ~:-:1 *:L  :::~  :::~ *::* *;**  ::~.

PAGE 13 OF _ _....

• _.l

.* :,::o_

Temper8tJ.Jre_drop ~ough the ~arm" cables ...

k .mass---- *- 1.

Pmass

.* _,'- *. /*_:=Qhof--*ln

~T wartl'.l: *_* . :

• *.

• Pmus (dW81m)*

~*E. .

d hor

+

• . 4*~ PllW l

qdot2..[ (d7't-(d~o')' qdd~ (dtiot)~ .(d~i* .....

2*k mass 2

• In .

• . . *. d hot .*

~t** =O~K-* .1: . ~ .:

. warm.

. T warm*= T cold+ ~T warm .T warm - CtoK=81.044*K"C . - . _.

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

• . Tempefafure Ris8 tlirough the hot-eabl":*

-~

. ::- .** -.c*

Holinan, Equation 2~2s ,.;.: .~ . ..::

' 4*k_mass *.. .y j

. ,. .  :~

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

~* . . .. '* '  ;:

~ . .... :.~.;* ,_.

.::.~*;:;~~:.~~~~~~i~~~f~:-r *.. .*:,,

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

. .: **: ~

.~ . -.;._.-*.,

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

. .. .. ~

~ _... "

. . .~* .. .

-~. -.-~

EA-ELEC-AMP-039 ATTACHMENT H

..PAGE:"14 dF *.> .. ;.....

o.s .o

~~(Index_~y~Cable_data) ~.(

0 2 . 3. 1. 130 14 28 2 0.37 0 o*

... -: . . .: . .. .  : .. 1

• i.

• • • 1

. .: .~* ....

~** .

,.\.

Fill_u =0.487 Qtotai =8.6li~watt*tr 1 ...:* *.  :

Fill.J><>~er. ti =o.os Q ~bleitat_~ ~:~.6~7 :watt*ft*

1

• 1,,.

• Fill_wam(u =o * *\

. Fill_colfi_u .;,0.407 .

~ ~. ~ *_.. : ***** */ .

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

":~

... - . . *:~

• ~ ..

. EA-ELEC*AMP-039 .

Page 1 of :!/:t...._6 8 Revision .1

AT_TACHMENT M

... ** ... -~

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

Methodology**for*:.oetermining ,. ,* *.:*

• :**th9, *conduc~or Terriperatu.re*:

.~

• • . . . . *:* *f*,:

• * *of Cables in. Condu*it *-.*

.*. .Routing POints*  :. '

'.i

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

-~ *. '* . '

. .. ... . ..~

~

. . ;. . ' ~

• ,*. ',*. ': :.; *. *. *. --:: . . .*.:1

~~~,,y*

Prepared .By : **.

'~'IL~ s/10/11

~ *: *'

• ~ . . ..

• • .* Reviewed .. By: * .:* .

. ~" .

• .. 1-. .,.*,

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

°' .~

- ; -.. *-::

• 1 ** :,,.

.*, ' .' ~- .

. ;;T,, -~ .

Calculation EA~ELEC-AMP-039 *

. Attachment M

Page2 of 68

.Purpose.

The purpose of thlS section is t6 det~e the condu~or.temperature5 of cables in selected * * . . .  :.

conduit routing points. Th~ additio~al teiriperatuie rise due to installation in fire stops is. '-*

• inch1ded for those condcits that are instilled. ill fire stops~ ' . *. . ..

Methodology

• .The ~einperature of the-c.onductorsinthe conduitare ~alculal:ed by.a M~thcad scratch sheet.

I~ormation on the.conduit size and t~e type of fire stop .is entered manUauy. The required .

inforination is th~ obtained from look~up tabl~. within the sheet (References 4~). ' '*,:..

Information. on.the cables inside.the conduit,. such as the conductor size, number of * ... *.,.:;*.'

condui::tors 4i th_e t~ble, n~p~r _of ~ables in the group, cable diameter, and foad current, is . ' .

read fro~ .an external data file. The contents of these data files are shown in Attachnient N o{ .

, this c~culation. The conductor res~arlce per uni~ length is obtained.frqm a ldok-up table . *: *.

• "based on the cond~ctor size." . .- . .. . *.~

' Within the Mathcad sheet, the cables in the co~duit are diVided hit~ three g~ups! The cables" ' ;:.~;' *:.,

that are unloaded are ~oiisidered "cold_", and are asstimed to s\irroUO:d the other cables~ The * .

• ... , group of cables that generates the maximum amolint of heat per urut volume are the ~.hot" .... -

• cables and are located~ the c~ter of all of the cables. Cables'th~t are neither "hot" or "cold".: .

. are considere4 ~warm" cables~ The.~warm" cables. are loca~ed bei'ween the "cold" and "hot"

".cables. * : "-.. -. ....

. . ... . -~- ..

The conduit trade size is en~eredi.tito ~he Mathcad sheet. The inside and outside diaineters.of:

_.* 1

. ' ' . . : -the c9nduit Call then _b~ deterlnined by a lookup table in ~he slieet. The .co~duci:o~ size~ -* * *> *...*

m

., : .' . riuniber of cables the group, number 6£ ~ond~ctors iii each. cable, .cable cliaine_ter, cable"~~- . *: . '.

a andloadctirrent for the.cable is rea~ from dat~*fiie. _The conductor resistance of the various. *:* **

.... conqucto.l'S are detenitiiied fro_m the conductor size tising another look-up table. T_he sheet- .

• .. then calculates ~he heat generated by each cable g~oup; Next, the sheet divideS the heat * .-. *.

. . generated hy; eaclf-~able group hythe area* ocrupied.by each- cable:gtoup io gi~~ the heat' " . . . ,.... :

.. . intensity forthe cable gl'Qup. In :onl~r to facilitate lat~r~calculat~om, an array, Hot_Flag is set*. - . . . *;

.. . . tip. :Eacli me~be{ofJioLFlag ~ ~et te> oif the cable group gen,erates no. heat ("cold"), -l if the . * -_: , . :: : >. -:

• ,: :* *

• _cable generates heat but cioe5 not have.the greate5t l;.eat intensity of all the groups ill the' * **

.c

• _. -* . conduit ("wan;n"), and 2 if the cable group has the highest heat intens~t}r ill the conduit .* ".*

. *_-- '("h_ot").- _ *. _*' . . _' -* :.-._ :- _ .-_ - - _ - -_ * * - *. * .. _-- * .* -- * *:__ * .. - ~y,<:: ;_ -~ :;** .. :-

. .* Using Ho(Flag to~ th_e cahl~ groups, the sheet calculat~ the ar~ occupi~ the ~cold",

- -::-_."warm", and"liot"*caples_. Since circular cables wilihave spaces between them when they are * *."..

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

.. :...~:*~ *_ . ~: ... . . .

- -=* . .**.

-~.

'(

• -* .. - " . . . . ~*- -*.-

• 't* ~-- ..  :* , .-

~**

• . -~

bundled toge,ther; the area calculati~nS assume that the cables. are sqriare to allow for thls cci1culatlon EA-ELEC-AMr*-039 .

Attachment M *

• Page 3 of 68*. *.

.. ~

addition:al area when ther~ is more dian one cable in the. group. Based on the area occupied by .*. **

. *ea;ch layer, the, diameter of the ~* . .

layer can_then b~ calculated.

.. . ~

. The heat. generat~ by the "warm" ~d "hot;, layers is. then, ~alculated. The heat intensity of.

~he two layers ~ then calculated using the areas of the layers .. Also, the total lieat gen~rated iii * *. *

. the conduit is determined. The heat calculations are based on cable conductor temperatures* C?f .. ,:

. .

• _75°C for conduits TS056,' T5058, and T506.5*aiid 90°C foq:onduits X1041, Xl350, xis14; ...

. ' and X4006. These ar~ the ~able Cb~ductor ~te~ operating temperatures fo~ the limiting cable ... ..

- .- * . in each (;onduit. . * * * ** * -

t.,,* . '*"*i! :'

~ *. .

. The .temperature drop through the all: gap bee:ween the inside surface of the. co~duit and the

• . outer surface of the_ cable mass. ~ then calcul~ted usihg the semi~pirical formula gi~en by . >*.

.*. "'Neher and McGrath** The temperature drop through the "cold~ cable5 is calculated by treatillg . .:.~

• :. :

• the "cold" l~yer as a. ~ollow c;ylinder~- * * ,, *. * * * * * .* * *

- .. ~-

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

• . * . ::* The temperattire. drop thrOugh the: ~.warm" cabl~* layer ha5 two components..The temperature.

' *.. . . .* . .- :' ~ drop caused by*the flow of heat from the ~hot" cables. in$ide calCulated by treating.the *. *.* is

• . : *."wmn" cable5 aS a hollow cyliri.~r. k additional t~pel"ature drop iscaus.fd by the heat' :. .* *

.* gerierated within the "w~~ layer.. This temperature dr6p is c~culated by ifonnula s~****.

• to.that given in seci~ii 2~8 of Ho!Inan~ except #1e: equation is fined to a differeilt.initial ** .* . *

~ . '*

.. co~dition to accoun~ for the hollow core of this layer;,. :'. ' . . * .. **:*;*

'. *~*. .* . * * ~*-: *. ,. \,.. _ "';:~_~;"}-::;:.*** :. .. **-~. ..~* ... * ,:,. . - *~ *** >. ~-  :. 1-o., **

• • • *--.:r

. ., ...... :- The t~p~ran!rldiop:.through~~h~* "4~~,, i~;~~:iS cal~ted :using Hohrian*s Eq~tion 2-26~ .. .\

< :* . .: ~.The c6~ductor i.euipera:ture ~elusive ~f, the additional heating asso~~te4. with fu;e stops is ....

'*"\

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

-' . ~-.' then. the surfac:e temp*eratui-e of the .conduit plus th~ sum of the tempel'3.fure: drops describ~ . . ' - ..r-.

.* ~. , >above~ From this die temperature rise .o.f the conductor abo~e the ambi~l: .temperature iS *. ** >** **

• • • * *

• calculated. T}ie *additio:nai temperature.rise due to fire stops is.included by.~he use of. -.-, * * .* .*

.. temperature qiwtipliers that were obtamed by testing ill Reference 4 for those condwts that* *

..*pass through ~aowool fire strips. The corresponding factors.for c()ncrete g~ut fir¢_st~ps, *

• ..' which .. ..

are .

made. from . . ~

lliate~als with higher thermal. conductivity .

and produce . .

less. .'*. .' .. . -

~

\::._. ..-.

__ . -~ '*  : .  : *.. . *..  ; . -~*

• ~. <~ :* . .  : '

... ' - ':.-* *.=:

• .. ~* .

. 'Calculation* EA~ELEC-AMP".039

.. 'v

~emperature rue::~~

taken form. Rclerenc:e 12..

Attachment M Page4of 68 ..*

• *Results .and *con~iuslons . .: .. < *._ - *. . . *

-~ The r~tiJ:ts* 6£ the cases aainined ar~ a5 foll~ws: .

• Rou~ing_ CondUit

• Fire Stop Rated. ConduCt:or

• ConduC:tor ~ .

• Point .. :No~alSiZe *_.. Type * . Conductor. .'f.emperature* .* *Teniperarore *.

Temperanire *. *~ Fre~ Air

• 1n Fire Stop .. . . *.~

t. . .' . (oc) ,: .... *. (oc) .. . (oC) . . . . .- ...

T*:.

't *'

T5-*o**_56.

• 2.s ": Rigid. Steel Nolie:* 75 74.3 .'.

- .. *'. T5058 2.5" *Rigid st~el None: 75_ , :  : : --; *~. ! -.

- ...... . -*~

.. * .** T5065 1.5-~ Rigid Sted None.* .75<. . 61.8 . ,-;

' .*- . ~

'** *' -?

xi041 . 3."Rlg1d.Steel ~ .*.** 24~ wall* .-90. 74.6 x135o ~ '3~.*_rugicfste~ *

• 24" wall .

• 90.*. *7i~7 *. ~ ". :.*.* :* . . ..83.1**: "".. . . . .

-.. -.. -, ..... J

(~~~all.~: "'. '

• * ** <. * ** * * * . .thickness is ** *

.......-* . ' .**::* .J . ,_ '* J

.** ... . .. . .**. .. 18"). . *:

• } .

-:*_*}

.:..* .. ~ ~

. ..'i

'. . ~ . ** ',,

x1s14.

3" }ljgid . Steel .. 24l' wall 90 81.s** 84.i . . . *.

X4006 2"EMT 90 73.4*."  :._.*...

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

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

~~- '*Based on.the *res~~* sh~wn _above~*the conductor temperatiites are. b~o~' ~he fututing .:" .. . . ,.

, ':-*"conduct~r ratedtemp~rafure.-Therefore, the perfol'llWlce of the cables ~fthese ro~tingpoirits' > ~:;

• . ~is satiSfactory;: :-.~'...>- :. '*: * }. *" * * * .< * * * * * :- - * *** *

. ) . ~~ler~n~e~.t;tt.:';i,'. ., .. ... . . .:* . .* '. * *._. .*.

.*.. ., . }\ i. ': . ~~: ,'p: l98J* H~ T:ans;ir. Tokyo: McGra..,-Hill ~;,.~Ltd. ' *..*. :* * **** *

. .'. * - ... ** 2~ *. . Neher,:~~ H: ~d McGrath~ M. H. 1957._ The Calculati~n o(the T~pera~ .. *

' '- -* . : . . . *. ' . *.. Rise. and Load Capability of Cable Systems. AJEE T~ansaaions o~ Power: ....

• • *. *.. -.. * ... -~, .* *. Apparatus~~_Sy~ie11JS~ 76 (October): 752-772.. .*'° . ,~' . *~. ,*: * .* * <: ::.;

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

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

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

~ ' "*

.-. - .. _,.r. :.

.. -~-* f, *

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

. . ........ .. ~-

. . ~-

~ . .

~ ' .*,

Calculation EA-ELEC-AMP-039

• • 3~

• Imulated ~o~er Cable Engineers &sodati~n and Insulated Conductors Cominittee of the Power Division, AfEE 1962. AIEE Publication s~ns-1 /*.

• Attachrnent M ..

. Page 5 of 68 . *

. .. . ~

JPCEA Publication P-46-426, Power Cable Amp~dties, Volume 1-Copper * .  : .

Conductors. New York: American Institute of Electrical. Engineers~ * .. ..

. 4~ .Attachm~t i of Palisades Engineering Analysis (EA) EA-ELEC-AMP-041,

• . "Ampacity Evaluation for Continuously ~nei"gixed Powe~ Cables Routed *

• throu~ Fire Stops", Rev.*O .by~ Hernandez, dated March. 24, 1997..

. . ~ .* _,* ..

5~ <

• . u~ s. A. N~tional Standards l~titu~e;* 1966. Stan~d cso~ 1 ~USA Standard <<

Specification for Rigid Steei.Conduit, Zinc Coated"~ New York: U.S. A..... *:: *

. \ ..... National StanfudS Institut~. . ,*.. *

'*6. < ~ National ElectriCal Manufacturers Association (NEMA). 1983. "American : _ *...  :.. . .. ~ .*:

~National Standard for Electri~~*Metallic Tubing:- Zinc Coat.ed"* New York:,'

• Am.eri~an National ~tandards Institute (ANSI)._* - * * * * . . * " * - ** - . *.'- ..*.* .>. ~-

~

7. : ** Stolpe,~~ ci~paci~ies. f~i Cables in ~domly Filled T~is"J~ Transact~~.( ..:. .

. . . '*. ~~

on_ Power Apparatus and Systems. PAS-90 ~ay I~ ulie .1971); 962-:-~!4* -* *_:: ., .*~

1 ,.*

• .  ; .* " . . .: . ~=

,* 8.... *.* Hudsc>n; ~. G. 196{ '.lhe Engin~'s M~nual.' Ne~ Ybrk: ~ ohn Wiley & Som, <

.* ' . ~

' *-... *page 317.. . * * -~ * ._ _ ' * * ')

~-: ." . . ~

. * ~ * . * - I * .*

f *..... ~

• ~**

.*Sargent< & Luridy S~andaro ESA-102, "El~ctnc~ Engineering Standard f~t : ....

E~ectricaland I>h~ic:il Charactei:istics of Class B E_le,ctri~al Cables.", Revised .

~

. -April 14,_1993. . . ..-.-- *... . .. - .. .

. -.* io;:_;:

• I~~tec;l Condw;or Engin~ers. Associati~n ~CEA) 19S6~ NEMA\VCS 1 I . * :- .* -:- ..

' :; <<: :. .~ ~* . ICEJ\ P54-440~ .."Ampacities of Cables in Open Top Cable t iafs.,, washington~ <  : .* ....:

• * * * *: . ~ ..*': _I?~- c~:: National Electrical ManUfa~rs Assod~tjon.. '.. -* .__ ._ .*. * * * . _/ * *

~

~ . . *...  : .. . .

.:tL * ,* .Attachment. :N_-of this caiculatiOn (Cable_ data)*

• .1'*.-,,.

<*:*12>_ - .. Attaclmient' 2S, Appen<UX A of Pafuades En~eering Analysis (EA) EA:ELEC-.. : -:. . . .. *

• ./ " * * * ~-041, "Cable Ampaaty Evaluation for Fuest.op Penet~tions",- Rev. 0 by * **

' .. ~ ..*

R. Hel'.UQdez, dated March 24, 1997. .,

'/*

EA~ELEC-AMP-039 ATTA9HMENT M PAGE 24 OF.- _

conduitTSOS~ tso*ss.m6d * . >*

• • • Fire stop C()de Fire Stop Codes Conduit Data . .

Nominal size- Rgld steel .*.

• 0-Free.air F~_Stop_COde := 0 1-12"wa11 Nominal

. . . . size*+ 0.0002"-*EMT .

2-:- 24" wall

• Conduit~Trade_Size := l.SO*fu. ,. *~* 12" floor Enter Cable Data *~~4" floor

.... ~

• . Cable_data :,;READPRN(data_file)

Number.* .

of cable groups inJhe data ... .

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

. ... "*\

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

Stefan-BoltZm~nn Constant __ *  :

...... . ,.-. - *.a:=: S.66". 9..

• 10- 8*wa .* .tt - - 2 ~ 4 - - *...Holman, *P. age: 3*07 .*: .

• m,_ *.r... * ..- ; . . . . . ..

.'.~  : .

~ ~nd. :.~ O~JJ . .Co~duit emiSSivlty (NEMA WCS 1, page .17>

/ ...

• r* .,  ;;

. *.. Conversion faCtor betWeen d'egre~ Celsius and-Kelvin

• • • * * >~

Ctot:~27J.iS*K

'.to ..

. *:-. . *l' amb :=Tambc+CtoK . T ~:"=313.lS*K.  :--. .

• *' ,. . ~

~**

.  : .~. :'

- .. - *~ .

. .~ . . ' .{

.~ '

~ i**; ' . ;_ ~t ~- ... *.*

...,** *. i".

• EA-ELEC-AMP-039 J:\TTACHMENT M PAGE 25 OF ..

, ~

. * .. / ,,

Conduit Data * -: . . . . .. . . , . .

.Inner a~d Outer Diamete_rs, Thermal ponductivity, and EmissMty '*

0.375 0.493 0.675*

0.3752 o_. 493 q.s77 . *.*

References:

ANSI .C80.1-1966 & C80.3-1.983 0.5 0.622 0.840 o.5002 *. 0.622 o.7o6 . Note: The inside diameters for rigid steel conduits built.*.* *

. to ANSI C~0.1-1983 and later are somewhat different. ,. *

. 0.75 0.824 1.050 The 1966 vei'Sion of the standard was selected based .* .;* ..

. 0.7502 .

0.824 .0.922 . .*on ttie.commericaloperating date of Palisade~ Station * :...

• .LOO L049 *u15

• ~ .

1.0002

• l.049" I.163

.* 1.25 . l :380 i .660.

1.2502 "l.380 1.51() * ....

. 1.50 l.610 1.900 -~.

. . . . 1.5002 i.610 1.740 *. ,,>;, *. *' ~ *. ...... : ;~. *.

. .~onduit_SiZes  := 2.00 ..* 2.067 2j1~"

• *iil . .

2.0002 . 2.067 2. l97

. 2.50_.. 2.469 2.875

• ~.*- *~

2.5()()2- *2.73 i '2.875 *-  :~ .. .... : \':*

~-*

. **~.:

. 3.00 . 3,068 ).500. ' ..,.. ' .;

.3.obo2. 3.356 3.500.

... * . ... [.

.. ~*.

3. 50 .. 3.548 4.000 .-- .*

3.5002 3.834:. 4.000 ,:, .. , *._*;

• ~.

• ,

• I * * ** ',

. . ~**

.. 4.00 ...4.026 4.500 . *.

4.0002 . 4.3J4" 4.500* . ~ .

.

• 5.oo* *

• 5.047 : s.563

.. -~ *.

, < . .::ti\:;*:)_:: .. ~.00 : 6.065 ,:6'.625 .. " ..., . .* . . *_ . , .

'~:,

• 7

• . -:*:<_., .:. .; *-'\:::<:. . ,~**: *.-*::.*, *: :.: . :~~~.. . : *. * . . *( x . :_., .:. "*: .. *. *. .*

. :" d 00ruu_:~l~~(~ndwt_S.~-. ,Conduit_Sizes ,Co~~wt_Trade_S_ize,}  ; deondi=l.6l_*m.~. .' .. -.*: .. -

.i

~. *.. d~,:~lin~(~o~d~i-~~ .q,>,:;cond\iit_S~~ ,Conchrlt_T~ade_s~)' ': : d~ndo ~ 1.9*.in:

~ . ... *

• . - . *. . :  ;* .. * .  ; . . ., . ~. *- . .. .

~ _...

. ... ._. . .. ~ '

1.00 . Free*air ... ' * *

~ ' . . *: .. .

. . :.; . 1.16 1*2:wall .. (calculation EA-ELEC.AMP-041;.Abchment.8). ... * * :

• 24 wall: .. .. . * . .. . .. * . * *.

.,'. FS_Temp.:_Factor := 1.32 ..... * ~-* . ... **  : ' ' '

1. 33 12" floor*

,. _ * **: . 1.52

• 24" floor

.. *'*I'_',

• -r. *~

EA-ELEC-AMP-039

• ATTACHMENT M

~AGE260F _

'***  : *Lookup T~bl~ to~ Conductor Resistanc~~ at 90°C (See Sargent & Lundy. Standard ESA~102)

.. * , 1

. 2 0.0161

• 0.0203

• 4 0.0324 6 0.0513

~ *.* .

8 .. 0.0818 9 0.103 10 0.130 .. -.

12 0.206' 14 0.328 . '., ... .. ***:*.

16 . 0.523 110 0:0128

. . . ' 2 :ft- 1

• Table.:..size :=

• 210

• Table_res1st := 0.0101 '1*0- ...... u 250 0.00542  :: .

. *:. -~*- .. - .... , . : .

300 .. O.Q0453 '. . ~- . -~ .

.... ,_ ..  : 310 . 0,(X>804 .

.. ~ .  :** '****,

,350 0.00389 .

~'  : -*......

.400 .. 0.00~41

' 410 O.OOQ39 0.00275

....- -~ .*

' ... *.* 600* 0.00231 *.'1*.

,* : . 750. _0.00187 .. "*

1922 0.108 . *~. ' . *_, ...... .

. l" 1925 0.217. , ... .-.

• . _,.'* **, . ._r,,

~~

. ~,.

' Q

• c (... * * ** ...* Q cab'.°""'-"'" .. .. >-:.:

Hottest::: ~(Q d~ity) *......

,*

• _* .. ;'~ata_indcx . ~~b.le_di~,~~~) -Number~caple8na~_indcx *.:.- .. ***

. -* . .

• Hot/1a8o~~-~ :~~Qdensityo~_i>o-watt-tr 1 *in- 2 , t .o). ., . - *~*: _, ..

• .

• 1.,.

~- \. . *. .: *.,_-  :*** *. '

.-.. *-~ *..' . *.,; : : .

EA-ELEC-AMP-039 ATTACHMENT M

. PAGE.27. OF ..

• • . *Temp

=rev~(csort(augment(Index~array:*

- Hot index :=Temp *

• 0,0 Hot_index:= o Qdensity_).:1)): .*

1 watt* tr -in-2 Q d..,..,;ty . .- Hottest = 0 *watt* ft- 1. *Ill. -2

......... Hot_indcx._ . . .

Hot

• - FlagHot . mcx . d. : '. = 2

• Hot Flag now has values of:

.0 for unloaded cables 1 for -Warm" cables

• . _. Diarneters of Layers 2 for the hottest cable in the conduit

- : .* * *** Diameter of Hottest Cable ..

. . . cables.~

.. Number_ . -Hot_m .' dex* =. 3.

.: . -.~

.... . . -. . - .. . . . . 2 . . . .

• 2 .. -

A1iot':=Nliriiber_cable~~ind~*(Cable_di8H0t_indcx) *. Aitot =0.581 *U: .

. . * :. * -~ "* * * ** * *. *(cable dia._ * . * ) 2 * . *  : ' .

• . A}io~:=1i*Nwn~~cabl~)nd~* . *..~ . - 2Hot_indcx .* : . . .' . . *-.:-

. dhottest*:= Cable_~8Hot_indcll dhottes(,;;0:44.*m *.. ...

=+:.__cabl~-~~1.2t:ot.d~-) . ~086~

. . ..,"" * * ~-  !

• J

• -h- **

dhot dhot * .; *.. * .,. r' .. *'

. . - ~

Area*a_nd diameter.of-Warm". cable layer .*

. co~ta_size-:- .1 r . : -. .* . .. .. . * .: '.'

Awarfu := .* . :,.. L .** ~ ~ot_Flagj=h (Cable_diaj) *N~~_cablesj'O*in ] 2 2

.- .j =O . - 1*,

(Data_size*~ 1)1* *.

• _.* .* *:* . (~*bi: .)2 . *.: * * .* * .:] ***~.

_ di . .. '

.'. _..'. A~arm(=* .** *  :~* - .: . Hot Flag.~l. a e_ aj *'11:*Number cahles.;o:in2

. *-* . '* *, j=O~_::.** *. * '* ~-* *:J .. -: 2** ...*. , : ~ .. J "-'-* *.* .. '* .

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

.. * .. * *{***

, d . :~ 2* . Awarm+ (d*hot) . . ' *. . . *. d warm = 1:04j *in warm"_-. ." .n .....* 2* .* ,; . .  :. ~-~:

.* .* ;:: Area and diameter of ~cold. cable layer . .. . -.

-.*- . ~- . : __-.-~ (Data_~-*0. ~ . *. . . . . .*. _., _ -. . ...

• * :*. A~ld.:~*.'. *_~'.:**:-. b" -... ~Hot_FI~s-~Q. (Cable_dia;)2*Num~~cabie8:,o.in ]Aeold ~q*iri 2 2

-.*. ..* *. *. . .* ~~~~:~ii) . . J~ c b1 di

. *: Acol~ >*________

.. J . .****** ***** *.* .. J *** .* *****. '.

• j~ .+o1_Fla8;=0.( ' :~ ';) *N~~cabl~,i>m'] * * *~.

2 d cold' :=*~,

dcold = l.043*in ,.*  :

• • ,*~,

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

~

,c ...

EA-ELEC-AMP-039

.ATTACHMENT M PAGE 28 OF *~ *: .

2

. .A oond : = (d

• .*. * . .

• 2

~n: ~ndi) . *. Aoond

= 2 036. ** 2

• 10 * ..

- * - ... * * * * * "I- * * ** .,,;..

(Data_size- 1) * ". * * . (Cabl~_di~.)2

• Ac~bi~ ::: . . L Number""'cablesj*n* *~ J

.A cable_= 0.671..*m

'. 2 ..*..;*_

• .. j =.o. .

(D_ata_s~-:- 1) J .' .. >- " . , . (Cabie dia.)2... *] .* . : . . . . . *. *~ . ;

~. Apow~ ~0671 'in 2 2

.A-f,ow_,; ' ° *. j , , I l<'.adtO;amp,J,lumber_cabl"'; ** .. - . '

2

'. 0 in ,

.. A * +A * * '+.A * * . , * .

• A . * * ** >* *-A *. * . .: A .

• Fill-:u :=. hotf * ;ldf. warmf Fil(power_u :=A hotf Fill_oold_u.:: Aooldf ~ill_wami_u :=.* warmf. *

.. * .* oond-

• cond oond A ~nd **

• Heat_ generated by. hot cables . . . *:_ ...  :} *.'

. . . " .. " . . .' . . ..

• 1" ". * * ..., 'I. ... * : -~

. ~.... . *~*

• .,,* Q*hot *-'*Q *~ ca .*bl.e * ** . * '.* .* . *. Qh"01 =2..... 67...w ... att*tr __* .'

.. *. ** . . : -Hot_indcx

'* * . *Heat g~nerated by 'Warm" cables*.-... . ~. ,_

.. *~ *'

. . (Data*s~.:.-i) .... * *

. *_ ....: .* 9w~:.=..  : .. t* .. *- ~~ot~~agrt~Qcablej:O*\Vatt*tr*)

• Q.- -**

. Wann*_

=0.54S*watt*tr 1

-~ .*

_,, . "j =o*~:

-.~:

. :*{*' ,q~.2 ~~= '* , ; ' ~--. . . *7: ,._ *.

q~w;.,,,: L99'W8~ft- 1*in* 2 >.

• ~ ... .--

• . ~. _,'.-.:*'*. "

~"

. *~* *.; .. '**. .

.~-

EA-ELEC-AMP-039 .

ATTACHMENT M

• PAGE 29 OF ..

. . -~ ;*:__: :. .

Calculate the Surface Tem~rature of the. Wrapped Assembly . . : * ....

• Note: In order to solve the energy balance equations, the equatidns for the heat di~pated by the wrapped assembly will be written as functions of the

• surface

• temperature. The area of the wrapped c~nduit per unit length is equal to 11 times the diameter of the wrapped assembly.* * *

. Heat Dissipated

. by Radiation. .. . .

(Holman, Equation 8-43a)* *_.

Heat DiSsipated by Convection ' . '.

-~ :. .

.* 1

. . . .. s : .. *1 . . 4

.Q ri-) :='.:1.32.__ **watt*K- 4 *_*ui~ 2:m4 - (T :-- T aipb) *11*d .. d_ *:(r .-* r:am.. b)

. **.*

• c .._ .. . .* : d . .. con o

.. * * * * . * . condo *

. -. . (H~iman,Table t-2 a*nd Equation)-8) .

.. - -~

~- ~

.. ' i Initial.

guess for .

.. iterative . .

solution of the* surface ..

temperature of the wrapped conduit. *

.: ~

--. *:- ~

r(T ~) + Q c(T ~) . Heat dissipated by radiatio~ and ~onve.ciion* *

..

• Q total=Q

• • • * *. . ** must equal heat generated by cables.. * * . . .: ~ . .. .

-: : ' 1. ~~*:_;=~in~(~~-}*'.'

• • t" l* '"

.~:.

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

.. .~. :'"'

• . ~:. *:'* *.,_._ :_

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

EA-ELEC-AMP~39*

ATTACHMENT M PAGE300F _

. ~ .

Temperature Drop through tl1e Cond_uit *

• . *.

• ycrind ~Lpcondln(dco~d~)*Qtotal. ~~eeEqu_~tioo~~ofHolm~n *_._*.

. . 2 11. . . . .

. . . d condi. *'

.T con°di :~T c0ncfu +AT co~d .

.,, '. .. - ~

'. ,. T coil~ =32i627 *K. :, .*. *.' Temperature .of the inside wall of the C()nduit : .

. J' condi..; CtoK*=*49A7~*K: °C. :_ . . . . *. . .. . . . . . . -.. , .. *. ,*

. . ~ . . *. '

.... '. ' : " .**. ' j

• .*Temperature Orop through the Air. Gap Inside th*e* Conduit .....-. ' . ..... ~ ....

ConstantS for N~her-:McGratti Form!Jla for Temperlilture Drop in the Conduit Air Gap * **.*

A' := 3.2*K-ft."w~tf1 *in. :.. (Neher-McGrath, Table VII) * . -. ~ *,

B' :~0.1_9*in

• • • "

• l

. A'

• }T ~ridgap :_~ B' ** d . *Q tOtal .* See Equa~on 41A Qf ~eher-McG.rath . ' . *

.. -* -:. *.*  : .. +cold***

• . ,I *. * ': "*.;...

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

-:: :.T~: ~ T~~ndi+ ~T c0ridgaJ>. *' "Tem_peratu,re at ~e oUtside ~urface of the cab~e mass~  :

• • .: ~* :-~

*. T~ ~-.3~0.969'.i(~ .:-';'"'.'*_: ;. '_-,

~>* -T mass -~ ctoK

. . . =s7:s1*9*K*( .cr. .,. .* * ' * ...

0 '*, .*. .....<*

• ** .* : : T~mper~ture d~op through the "cold". cables

~- . H.cold.  :=*~*~otar p~**ln( dco~d ): .. AT cold =O*K

. . 2*11 .. *. dwarm . ..

.. ~ -

.. .*, ".::. T ~id :=T ~'.+_ATcoici**:_ ... T cold.:::_3.30.969*K. T cold~CtoK.=_57~819.*~c.:.* .. * ....

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

EA;.ELEC-AMP-039

• ATTACHMENT M.

PAGE 31 OF '

.. ~

-*- . T-Temperature dr6p th~ough the "warm" cables . ~  ::

• kmass :=-1_..

• • Pma5s A;waim.:=Q~0/m~.1Ii(ciw~)+qdolwmm[(~k~=)'-(~)'] _qdotw=(d~)'m(dwmm). :.....

• . .* 2*n. .

dhot ~ .

4

• mass . * ., .

• 2*kmass*. 2 -* dhot .

AT . : . ,; l.18*K .* (Based on Holman, sectjon 2-a*solved for a ~ifferent set of

.....

• warm * ..*

• Initial con~_itimis) *:

.Tw~*=_Tcold+AT_w&rm .* Twarm.::CtoK=58.999*K°C* .. ,

... ** -.. : .... , - 1

• Temperature Ris~ through the h_ot gables '.** .."' -- :* . . ~ **~

• • =--. .*:.

'2 ,*.

AT *=

• .Q ~erisityHot . *. -.

md=. (d~o~). Holmari, Equation 2-26 ';

• . hot* .. >A*k~ ..*,. *:;.*

. ~; .. . .. *'

'~ . *. .,

AT .hot= 2.788 *K

T~able*:=T ~arm.+ AT hot ,-_

_: _* T cabie-.CtoK =61.787*K_ °C*

• ". . . .~- .. :..j \-. .

. - .. *.* *; . . :"'. *,',l

., . ~' ....

• . .  : *:~....: _. .: .

'~

.. -:: ... :.._~

~- - :'!. ,*

. " -~ .

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

~*-

• l . .~

• .... : .~ "

• • • ~ . .

, .~ *,

• . .' . *.,_ ~

....,, . ~*.

--* .. . . . *.- ~- .=* . * ~

• .**.: ' ' . ' ; _*'I

)

• EA-ELEC-AMP-039 ATTACHMENT M.

• "PAGE 32 OF-

.* Conduii_Trade_Size ~ 1.5 *jli T conduetor- CtoK =61.787*temperature °C

• Column

~Row .

numoer .

~ '*

• .Column 1~ Gable size Column 2:_ Number of cables Column 3- Number of o.44 _0.005 . conductors .

.*..... 0:31 0.033 Colum_n +-Cable diameter Column s_:_ Not used

• Column ~Load current :

Fill_u=o.33' Q tot81=3.2is *"1~~*tr: 1 . *

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

Fill_power_ti = 0.224-*

Q

• bl* = 2.67 *watt* tr .

~

• ca .* e~ot_indcx * ." \* .

. Fill~waini_u =0.106 ......

• Fill_eold~u =O

-~. ' . *. -

. .**, - . ~: J

- '..:':.' *.J*

. . *.*.****<'.kd)~":, ...~ ...

__ ...... ~ .* . . l .

. ,._ *- ~

. ..:.~*.....  :***

• • ,. *,. -**,,l*

.1 .

~

• < .' .~

-~ .;*-

~

~*

• .-.* ..