f i ~

•••

•

\ \

:f

.f ' '~

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"

9707180084 970710 I i PDR ADOCK 05000255 P PDRJ

... ~·

38 Pages

/'

·.·· (@consumers' . · Power · .

, . . . . l'llWEIUllfi· .

.... ' PALISADES NUCLEAR. PLANT· · : ENGiNEERING ANALYSIS COVER SHEET

.-- MICBl&A#'S l'fllJlillB$

itle AmpaCjty EyalUatjoh' For Continuously. En~rgjzed power Cables .in. Open Air C~ndyjts

Rev #

0

··~ . . .. . . . .... ·. .

INITIATION AND REVIEW

Ca lcul ati on Status Preliminary .. ·, D . Pending · · Fi

D

Initiated !nit · Re~iew Method . i----"----.....-----1 Appd

. By Desc'ri pt i ori. B Date

· rietai l Qual Alt Cale Review Test

.· ·• J·. Nehls Ori gi na 1 .Issue .x.

.• ···· .. ' .... · see Description Below .:. : x

, .· .· ..... '.

·.··-.

·:'.. ..-.... ' .. .. .

EA- ELEC-AMP~039 . , . . - . . ' .. . ..

·Total N~riib~r of Sheets. __ _

. . ~',

Superseqed . . , D· ...

Technically Reviewed Revr Appd CPCo

. . . By Appd ·B Date

R. ';/~1/err 1'11'1/i M-'r·1J Hernandez

~ .'.

.. .. · ...

_tJfzrl : . . 7fi

.. .;. .

·._.

·· .... _ ... ·

·. •. -: \~- :.~, . '· .- . .; ._,_.· ...

. .. "· . . .. ' . ·.· . - •'" .. . .- ,.. -~~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

ANALYSIS CONT.INUATION SHEET·' . . PllWElllllfi .

. MICllJfjAlf"S l'flllliltB5. Sheet :-2_ Rev.#··___,_.,.]_· _

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:.· ' · . ·' .

· ·. 1 j .· · .· 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:: .. :

'· ..

."!·.

-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

., · - 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- -

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

: . ...

. . ~-.- ..

. ,..,.: ··• .-. . ···,·.· ·.·'··

. :- 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_

·'."·.

.. _ ..

... -~ -.

- - ·-:. ~ •• ! • : - , ·, .• ·- .: ··'- ~ • ' .· .. ;:< ... : .-:, ~ .... · : ·. ' .. . - .. . ~·~. ·.' ,· . . ..... -· : : . · .. -:"._ . •.· .. .::_ - .··_ ...

. •·. ·F·

. ,, - .· .-

Ill. , -·ASSUMPTIONS .. ._: ..

. .. - -

... ... - . .. :· '·

.·. ·. '-· .' . ' .. - .

.. ~ . -< ·:-_ -

. ·· .. '.·.· · .. :··

:~ ' . - ,'-.'"·."-

.·: -., . . ~:. ·. . . . .. . -

.. ' ··-r.· _,· .. _

' ,•. (j)

~: .... >' ' .

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

. . .~· ' . ....... --. -- -- --I ~ ~-. ' :.. .

--- ;·--_-~© .

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

' .. ~.

• •' 1+

:-·-··.:. :~·:

. . ': ~. .. . . · . .-{'

:--, . - . -.,, ~ ·-· ... ''

- '

.- · _ M ajar ·Assumptions_~)-;;;·_ · . ·. . . . --;., .· .... ,~ . .. ~

: ... ·-,. -.· :,,: ......

.i

.. ~

. \ '·, ....

-, : , NO;;e. > .';,;~\[~:-~,;;?;_ : ". ' .• -- : ---- C. _____ ------ . ·.· .. ' .. _,- ;·: , . ., .... ::.) :. ·. ·~ ,- ~~- ·:~·

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

'.-• .. :-- (J) r -· ....

; -~;:·: .·

. ; -_ -_ ... -•. '-~~.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 ANALYSIS CONTINUATIOl\I. SHEET ·

EA- ELEC-AMP-039 . . , .-....

Sheet~ Rev# 1 .

•• , ,•

·:.,_- __ --u~~d ~or al.! co~dufr size_s:. ··:;.·' .. , _ .. :' .. ·.· .:·_.-·.· :--~.

: 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

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

. ' .. ~-. use ampacity' values frorr,i th.e .tables' in: Attachment K based on .. ~ ; .. -~ ',·: . . . .. ;. :· : · 7s6c. · 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:· .

•./ . . ~· ..

. ·.;. ~ . .;. .. : ·-, ....

,'·.·· ··• .. : ··.·

.: : : ~ - . ,·. '""" .

.... ~ . :;(D:; ' '

··: :.-

.· ..... . .' .. ~-

.s ·- . : . ' , .. ~ - '· '~ . . .. • ,; ·:. .. ~ -~ . • •.•. • •: • • ... •. .. . -. . . •.

IV. : , ,l\C_CEPIANGE' CB_l!E~_IA.. :>» ~: ,· .. .. . ... · . ... .. , . : .. ,,.

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

. ·~- -· . -.;~.. .. . . . . . ' •,

-· •!;".

,·,v.

. ·. . . m·ade betwe~n the Galculated ampacity for the cables in·that conduJt ._. · " _., . : '• :~- ahd the''calci.Jlated loading of the c~ble$~ If the calculated ampaCity'of. ·.·· .·:-

"tr!!\ consumers . ... ···-~Power. . ·PALISADES. NUCLEAR PLANT.· . . ..

. ANALYSIS CONTINUATION· SHEET. EA- ELEC-AMP-039

PllWIEIUll& . : M.aa&A#S PfllllilUJ5

·· .Sheet ~ Rev.#. 1 ·. · .

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.·

· Reference/Comment

. . -· , .

· .. ~ · ..

. -·· 2.) Tbis iist of 767S ~ond~its was then cpmpared to the "viai'db

database, wh.ich identifies cables pei: raceway, to dete.rmine which ~oriduits do Il.Q1 contain cable.s: If a 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:.

·.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." . . . .. ·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 -

.... - .... -"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.

.. ,. : ·. ·.·. . ·• :· . ··. · .. ~

'·.

.·

.': .':,:.~· ·. ~" . . . . .'·

':.

.. .~

. ··:

... · ··.· __ .-· ~ ..

~· .....

. .··' . •,

.;;...

'. t ~· . - ' • . • :· '.·7

: .;

_ ... ,:.

.:· ...

.-:·.

·· .. ·.

~: .

'.·'.'

' - . . .. .

. , .. , .. ··.f

_.···

--i.

·. ·.,.

. -~

@) 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 . '_.

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 ~ ·. ··-· amp~city valu~ from the. IPCEA/NEG tables (Attachment_K) was·:; >·' ·

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

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

Reference/Comment

. .' ..

. :. ..

·!·

. .:. ' ~ . -

• .. ·.' ·'-· . ·'··

~- - : . · .. ;,.' . " . ·' ' .'.:,:·

.· ' ..

·.:.

.. ·. . " - .. ·~ -

- : • '. !

· ... · .. . (@consumers ~ Power PALISAQES NUCLEAR.PLANT

ANALYSIS CONTINUATION SHEET .

• • ft •

. EA- ELEC-AMP-039 POWEIUJI&

. MIClll&Allt'S l'flOlilUJ.S ... Sheet _I_ Rev # 1 ·

....

. __ :-: ...

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

. J

: 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

.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> ·• ·. -.

. · .. .....

,,• ··.··· ..

'

. ..... ·

''

... ,. ·· ..

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

._; . . '· < .. ··: _

·. · .

··''.

Reference/Comment · ·

. ·

.. ·.,..

,·, ... - '

·. Q}'

... -- . .- . ·· .. ··.

. . · -··

. "':·

' ... ,; .

.· .... ~- . ..

·.· .. 0r . . r . . · ... \ _, ~

' •.·. :

. ·_,··.·

. ' ... . ..- ..

.. ·. •' ,-;. __

. . . ~-: -. ';

. :•."".·

. . . . ~- .

. . .· :·

- . : ·.-

. ·,.

, .. ·,

·@)~ consumai. • Power · ... . . . PllWElllll&

lllllCl#lliAl!n l'fllllilUU.

''•' ·_. . PALfSADES. NUCLEAR PLANT

- ANALYSIS CONTINUATION SHEET ··. -:

··-.' -·~ .. ·.. .,. ..

. VIII.' . - RECOMMENDATION .....

. EA-·. ELEC-AMP-039

' .sheet ._,..a_ Rev u · 1 ·

. Re'ference/Comment

·:,. ·.:-

.-.~-.. - .· .

.. ·. ~ ..

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,-· ·.,

·,· ..... • 1:.-· .. ····

~- · ... · • , -P~lisades Drqwings _and other" Plant'Data : :

. ..'. . - . ~ _;. : : ... :_ . . . ' . .. . - . ' .. '·_· -.·.··.

... • : ·~ '· .. . ;-,

~ ...

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

· B. .· R~port$-from.the .CRS Raceway; Database, Attachments-A,:B,- C/ · ,L and L-·- · ' · - · · · · · · .... _ · · - · · ·· ·· .. _

. ·... .. . . ·: - ·: :' .. : ... ~,.-. . : '. . '. .. _._

. . :-: .. · ._::

·. :. ·. "". :-:f· ·'. ,, .. , ... .

. .. · " .. •. .EGAD'-EP.:06,·Revi~i~n 2,··"Circuit And Raceway .Sdiedule'·· - . : - - : · ·-- : Number Designation . . · · · · · ·· - ~-.- _:: · · ·.· · .. . .

••o::' • -~ ·,';.~ • • • .·--'I,·._; __ '.·.'-'~-~ ·,··;', . .-.~,-.. ·. • t~· ·. . .. :··~ :. . . ;· ~ .• -·· . . : - . . : .· .... _ -; > -- •·-: .. Palisade Drawi-ngs. E-301. through E~315, J:~354; E-357, E- · ,_.

r . . - ...... : ~ , " ..

~· · .. ·: ...

" - ' ·.·r

. . ·: :;: 369; E-375 an-d the ESOO Serie·s: · _ · ' - ·. --- . . .. : .

........ · > • .(_ E~ ~i;~i~; ~{~~~:~~,;~~£tarrying Ca~le ROute;fin ~9~ 'c~nd~its < · · '• ... . ,. . .. :: :.:,;;!;~'.~;.-,_,.,it~

.....

' .'

- PAUsA:D-i:s NUCLEAR PLANT ANALYSIS CONTINUATION SHEET _ -

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

Sheet~- Rev #._· ...... r __ .·; ~

~---------------------..... ----------------..,..----------,-. -Reference/Comment .. ,;

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

_,

'-·. .J

. ~.

•I• :·

"

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 .... · · - - _

. ~. consumers · t::t:J Power : PALISADES NUCLEAR PLANT·. ·.ANALYSIS CONTINUATION SHEET

EA- ELEC-AM P-039 . . . PflWE11111fi

MIUll&All'S AilaGuss Sheet. 1 0 Rev # ·~t __

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. . · · · ~ .

~. :• .· . :;;, .. ·.·.· :.

:··. '•

,. '

: ' . · ... ·. ~ . . . . . . ·~ .. ' . -~- . .

·;_·, ·; .·

. . ' .

:., .. - . . . .. '... ~ -....:~ .. · . ..,' .. ..... _-. ··-

•; .: ' · .. _,··

:. ·. . · .. ~ .:; .

.• ·· .-=· . •. ~ . '. . ,:. '

· ....

·· .. -·

. . !:·

·::· ... , ~ ' : ~-: . : , .

,•·

'•ir ,.

. . - .. -. : . ., .

': ; ·C •. ; • ": .·•_.. ~ •

.. -· .. ·:· ~~. :. .:

.. -~ .

. • .. 1·',

·· .. . ' . . ~ · .. '.

"• -.:··'

..,_, ... _

• •

.... . -~ ...

.-:,

.. · . . ·· ... ·

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

· · :: EA:eLee-Ar.n'p~o39_: __ ,, .:;. :::, .: .. : Attach merit H · . 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 · .

... : . 4. -·

'. ' ..

''

,_., . · .... .··.

; . ·~

. ''.·'.,.

.··.

•'. .. :'·'

.\· ..

..... ·l.

· ....

- ·: .. ' . ,. "

... --

... -·

: .... "

-.. -· ' ~.'

.. .... "".: ·. --- :

-··' •"· ·: ·- ..

. . -~ ..

," " . ~ .. ·'

'.:·

.. ,.;". .-... .-.;.· ..

. ·, ....

•'}·'.

•: ... . ~·

_. .:

,· .. , ... . ·-· .

·; . - ~ ., .. · •,

• ,-1"" .

. J·_ ..... \,

·•-.. ·. :: . Prepare . ...

.·:. ·- :;'· ., . ' .-

. ~ . . ~ . .

·,._ : ·J.; .. ·. ,-

' .. ·· ._ .. :·

·Re~iewed~:s)_Jlc-a[oate; 3 / 2¥ /-rz · ·· I · T)

- ..i.· ' .

• •• t-

..... ·

;:: ·.

: I ••

·- ·~·

... , ,·

.. 'c..~

' . ,.: . ~ .. .;

• • ' I ' '

'.,~ ''. :· ,.,;

. :' .

.. . . .. . -~ ·. "~

.:'..·

".

.. - .

,· ,_ ... · ........ :: .. · .. •

-....

l ~ • ' ~ .

:· .•

.•

_ .. ·.·

'

.. ,,.

.· ...

.). ··:i :::: -i

Purpo-se.

. EA-ELEC-AMP-039: : Att~~fl'.'ent, t:t , . .. . _ ·Page· 2·ot ....... "·' · ....

The purpose of 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. . · · . ,- · . ·

·"·

. The.Math.ca~!' sheet rised for the calculatiom ~a moduication of the Mathcad sheet wed f~~ .... ·.'the cal~tion of the_condU:Ct:ot tempera~ of cables in. a 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 F c: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~ arid. ~utside 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 a data 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'

.. __ ,·

~- ..

···-

. t.,,·

' ;, . . -·~

::_

.. · ~ ,'· ~~

·. -:. . ~~ .

• >

· ...

.·-·· ... :~

---·.

··.:· .. :~-~

~- .. :.:

:.;·

.•. : ·-

· 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 8h~t"' layers is. then c~kulated The. heat intensity ~f · ·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 temperatlire of 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 a hollow 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, • ' • . ' . . .. . .. ' . . ... , . ~ '. . . ~ : .

-· · · · c;: •The t~per.l~ drop through die. "hot"' laye~ is c3lculat~ using Holman's E~tioii 2-26. • :····_- Tlie cc>nduttortemperature is thm the Surface temperat\ire of the conduit.plus the~ of th~ ·.· .. -

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

... ;.:·,. ··:·. '-.

·-·:'

- ... . .. - .....

· ... ' .- ··-' . .. _ ... ,; . : :· · .. ..... . ... · .. ·

.- .;

.. · ,-··· · .. ··-·

-··~-· . .

. ... ·.

Results and Conclusions

EA-ELEC-AMP-039 ·" ,A.ttachmen_t,H ... ·· ,, ... "" Pag'e "4 of ....... :.·:::, ···' - ·

The reswts· of thecas~ex~ed-aie a5 follows:.~ Nuinber o{ .... ,-'. .Conduit . Power Circuits No~ Size ·

Mathcad File · Ampacity 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 aci • · .- ·. ,P. .. ty· :·c·', of Power~ Multiplier;· . : · .. :. ~- · -ciri:uiu -. .. ··-·-.-.. . ,, .

.· .1 . " - ". 91% · ...... ........ ----+-------.·-· . '·69%

:·_· 3 . 58% . '.

. . 52%

·, · .. ~ ' ' . .. . ~-. : . --. .. ·

:} . . . =._.: .. :

. , '. .... ''( . . ' ., -,-. -. ! ,··· •

.. . , ·.-.· ..

· .. · ·-· ..

:-.·. . . --~ ' . . '

.... : ..

.... -· •'. · .

. . , ' - .... '.···

:'"

.. · ...

- ':•. ··. .-· -· ·.-

. - ·~ - . -. ~- - -

•,' ..

. : ·~ .

• >

.·. ..; .·

· ..... - :

·_ •'-

·:. '

'..··

-·:. · .....

" .. · '· .. · '

... . •' ..

- :.. -~

.. ·:.. ;"_·: ..

·: : .. :.. .... :.; .

. ··: ..

-.. -. ·'

:-; . . "

.. : . :- .. ·:. _· .. ·

".,.._ ..

..... w ··- ...

: .

- .. '•','

'.,

EA-:ELEC-AMP-039 ·. .. .. ·'·. .· Attachment H -u· "::' :.:• '··' PagEf5 :bf; .··, ::: .::, ··

.. References· ••• .. -. - ~-' -

....

:·:····· .. - . .··· ,. . . ·. ·.· ·- • > ,,

. . . . . .

, ..

: ....

. ..

· 1. • · ~ohiian, J.P. 1981. Heat Transfer. Tokyo: Mc~r.iw~Hill Kogakusha, Ltd. "''·

: 2. · '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

..

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> :: _ . . .• . . -~· ·· : · ·cable data:= ( 2:. ~ .1:.: o.s ·. _o.o _po. :1).,. · .. - . -:-._ ·. . 14 28 2 0'.37 o.o, :~ 0 . 0 ..

.. -.. '• ·-

. ~ ..

. ·: ..

,.

cable Data Column Definitions: 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 • .' ,."

.. -.·~ . -- . ·.Data sac ·:=·ioWs(cabfo 'data). - Data_size =2

.. ··· Z;:~~;:;.~ar······ .·: . -: . . ,·

. ' .... ~

-.....

N~~her of-~ble grou~ in the data •'' .. . ; . '... . "' . -

· .. . , ;

. :.·.- .. . . ~ '• ·: .-: · .. '.

;· ... 7 ..

. •. -.. ·· ... ···

.. :: . . ·,~ · ;Th•nmal·Reslstivities.- .. -· .. : · ;·,:·, · ·:. - · · · : ·· ··· · ·. ·. ·. · ( ·. · p~ :=40ri·K·cm. ;watf1 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 .· .. :'. ~ .~-, . . . . J . . . . . _,. . . . . (S&L Standard. ESA-105) -·. ' ·

. . . · Ambient Temperature ... · · . "" ' :,: ·; ·· · . ,· : ;~'

. . .r amb. -.· ... c: :=.40-.. ·_K:_ .oc: _r·&mb~.313.IS:K

'~ ;

. . . '- .. - ~- '·. ... ·_: ::: .

·.-:.

•.-_ ..... ... ·-·

, A

·.::.· .·-

.... _:· ··~: .·

::•

.,.£ •• - ~- ·. ... ·.: ·-.. ·, : ~-' ~ . ........ ·:·:-··-·

-·_..:··

,:_ ........ ,. ,•' ,._ ,• ·:;--~ J

·-. f;.

'· ... _ ...

- -.. .- ,,. .. ; . ··- . . . --~

, .. ..

· . . :_.

•. '::

. ~ "; . .

\, ·,

. ·-'; ..

... - .

. . ~ -. .· .. ·

. ;•, -· .. · ..... ·· ,-.·. -·:· • ...

: . - •'

' .... ·,_,

. ·_, - .·

:·.'· ... ·.~ '..,

,.·

-.· ...

·. ·: ... ; .

... ·.- \~ .. ·' ~ ., .....

. :t.

. ':_.

, .. ,_ ..

..... :,· :. __ ,...,

. .. . :, ,, ,:, .· ...

' . -~' . . .. ;·,

••• .. · . .. ' .

: ,;·

. ·-. . · ....

'.,

· Conduit Data

. EA-ELEC-AMP-039·

ATTACHMENT H

. _· 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 ..

1.00 . t.049. 1.3 tS' I.is . 1.380 ' t.660' t50 · t.610 1.900

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

Referenee: ANSI cao.1-1966 . . . .

Note: The inside diameters for conduitS built to ANSI '. C80;'1-19B3 and later are somewhat different. The 1966 ..

· version ·of the standard was selected. based· on the · eommerical operating date of Palisades Station· · .

.. ·' -. ,

.. \ ,.. _; . - ...

· .. - . d~ := 1intap(~1_Si7.cs·.c.c~1'""siza:conduit_Trac1C_size) d~~=1.s_~in

.. . . ····-·-.·- . , . . . . . . . ..

. . ' ..

· .. ·,,· ·., :·.-.· .-· ·.·!·,

.. · .... .... ·.

-.- ..

....

'·

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

... .

"•

• -". •• :. !'

- . ~':'.· ·:' ".

:. ... ·-·~ ... ~--. ··. ·---·~--~ ' ........

-~' ~ -~- -:·. :~-- .: -"' ' ..

. . •' - . -.~ · ... '

_; ... ""

.. ...

.· ..... , ...... _ .. ·. ..- ~- . : " .

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

.· ~; ..... ·_

. .. ,.._

. ~ . . . ·::···

.:~ ··. . .. .

. . .· .. ··-··.··· ...

. . . ~

.; . ;

,,

.. ·

--: . . :

. .. ···' ..:,.. ... ··

· .

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

. .,...· ..

'.

.'.

. ~· .

.... . . ... . -:_. . .

' .

. : ..

·' ...

"· .

··.'

"' ,"

.. ~ ..

. ·, :' .

,·:.·:.:. .. ,

·,

.....

-· ' -:.·

·: ... . · .... ·.-' ":!'

.......... · ... .... ' ..

. . -~

. ' ... ·

. .....

-.... •\ ... ·

.. · . .'·

.:,,. ...... " :'

' ·. '·

. .-_:,.,,

.. ···

. ,

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

2

4

6

s· . 9.

10 12 .

14.

·16·

110

Table_si7.e := 210-

2'0

300

310

350

400

410 .·

0,0161

0.0203

0.0324 :

0.0513

0.0818

0.103.

0.130

'. 0.206

0.328 . .. ..

o.s23· . ..

0.0128

Table_iesist := 0.0101 · 1Cf 2:0·tr 1

0.00542

-:. • .

0.00453

O.OOS04

. 0.00389 '

. :-.

-.•~ ~.. '•I ' 500 ';,_ .·

0.00341

0.00639' .

0.00275

0.00231

().00187

·.· ,·

6oo 150 1922 .

1925 ·, ,,

- ..... . . .. ~

·i '• ·.·.;...; •. ,_

'; ..

. . 0.108 .

. 0.217

.... _ ...

.. ·· .

..... ·

.- . ~

~ ; ..

. . .. . :_ .- ... ·' .· . . . '. '. . .. ' .. ' ., ' . . . ~> ' ,. ~ ~le~si7.e·:=. Cable_~ ·.~"."cables := C~;data . Numberj-0nd11ctors. := Cable_ data ..

I-';" ..

· . Cable dia := Cabie data~>:iJi. 11oad:'"

.. • .

.. ·. . .. ~ . .

• ·' •' ''.!

: . ' . . ' •.:

. . _.; -

· .. EA-ELEC;,AMP-039

i::: ':;: ::ATTACHMENT H U :::: " u PAGE 9 OF. __ _

-... -.

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

O for 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· •. :

.~. .:·· ... -.··

dJiouest := Cable_diaJtot index · -. d~1-,,;.o.s ·iri

. dbot." . (~-cablos~ ~> •• 4·bot .d1-n) > d bat =0.9;, .... . . . ' ii\. ' . . .- ' . x ' ., . . . . '.···.

·'{'-·-

' ... :

Afea and dlan;eter of ~rm~ ~le iayer . ' · ·.-- (Data_siz.o_- 1) . · . · __ . , . .. .

A~_:=.:.:·'. -L: -~ :.:·. ~ Ho\fug;;.1,(Cable_diaj)_2·Num~~-c:iblcsj,·O~in2l: _ AWami = · ' Acold,_ dwami . dcold :_= 2· --. -+ .

' . ·. -~- . 2 ..

. ,,,: ,

·. '· · ..

.·, ....

. ..

·:: . ..

. ...

- . . . .~-·

.···

.... · .. ··;'

.. · ... ·

0 ~H

:..·. ·"\. -·~ -~- .- ~

·.'· • •"j

: . ·: ... . : . ~ . .

'..._ ·.

,,.-.. , .· ··_.·· ·'

. ~~ ~ 1

. -~ . -

·· ... ;': .... ,_ ,,

: ,.·· . - .

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

.\

··· .... ·

.. >

. ~' ..

·-.··

· ......... ··· ..

. . . . . .

.·.,

- ... ;,,· .. -. .. :·=.··

-;:.,.·

. ~-. : ·.(d ~)l A~:~·11:·-.

' 2 •.· .. · .. A cond =~.393 ·in2

(riata~si7.e ~ l) ; .·· .. ·.-... .·.(.Cable dia.)· 2 ':L NtJinber-~_b1esr11:· .... ·2-. · .. J _

. j=O.

EA·ELEC'."AMP-039 ,,ATIACHMEN:T H.

: :· .. : =·!· .: ... : .:. · .• · ..

PAGE 10 OF. -----_.;.

·' v

. . . . . . . 2: 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'. .·

---...a ·,.A --.:..;..a . . · .. ·. ... cand .. ·• ·. ~ \iUllU ·'. ·· .. ·

tintgeriet&ted by t1ot cable& ' . Q~:=·Q~ .· -.·· .. ":.

. . . . . l1lot indmc· . ~: -

. . . ' . . . . . ~ . . . . . . .· . l :· Qhot_=8.617.~watt:tr ·.

.. ~ -.

... _ .. , :. Heat generated by "Wann·. cable&.:: .. · ~ :" ..

. . . .. . ' ·. .. _. :-,,"t

· · .(riata_s~-,~· .1>· . . . . .:~ .. -.- ... . . . . .~ .. : I:: :~Ho~_~a~j~.l,Qcable(O·\V8U·~· 1)

·:,.'.j•O

.. ···

,._, r.

·,. .. ·~ ..

"· .. ·". :: : -·· '. :~ .. -:: .~

,·'·.- ....

:.·.·

. :~.

-· . ~ .. · . "-- ·:. , __ . ··:·_;;:·

.. ~- . ·.·· .,-

· .. '

: '~ -

. .. ~: .

. ·~:-.·

··..:·

. •' _: ·~··. . ·~ ~ . . . . ;·: . : ·. ·; l

; · Q warm.= 0 •watt·~- .. ·. •

_, ... . . -~ .

~ ... ... . ~ , . . . ·~·

,· ,.· : .···

·--·-

. ~ . :

·, ."·

. -.· ..

;'-.

.... . ~ · ..

.~ . . ··~:

· .. ·

. ~'

·.i

-:". . . \. .. ,"" . ,, . '•'

.. . ~:

:_:.":· .· ,.

·.·.:,

·.· ..

•.

J:.

.. -.: ,- :

. ;:

.,., .'

·.-:-

.. .

·'.:·.

' .....

,. ; .....

-.-..

. ~~ ...

.. 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 . . .•

:Q en:=~ l.l2·~tt·~···m· 2·m4:(T-T amb)· ·lt'd~..a-·(T- T · •b·) .c . d· \iWlUU am . . ·.· . . . . condo . ·. - - ,. - .· ,.• . - ·.

·: .... . "!i

.; .. _ ..

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

. .,_.,

TP:ss := 330:.K .)

• • ·

.......

•••

'· -·

.. ·

. -~.

.. : -~ ·~-;: .. : _ .. ·· .--

. ... ·

Temperature Drop .through the c~nduit • : .k - • - : .. • •

,. .. ·

.. ·-·

~· ..

. EA-ELEC~AMP-039

ATTACHMENTH PAGE::1'2 OF::• :::; ··:· .. :•

._,I

. . 1 . (d condo) ~T cond := -·p cond· ln -- ·Q total

. · 2·s dcondi . See Equation 2-8 ·9f H.olmari ·

. ·\ ' .

•. iir cond =0.012 ·K·. . . ~

T ccmm • 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· ·:, ,.·;:,;-_;> .• . . . . ". ; ... ;·. . . ·: .:·: :~(;_)'': ... '·. ·, ·,

· .... ·

.. ! ~ -.= T caadi.+ ~:roo..d~p·.: :·.Temperature at the outsl~e sUrtace ~l~~ cable masa· . . .-1.. . • . ·. ~ ·. - . ' • ·-: ' ·• - - . • • - - .. · .. ::-.

.. ' .. T . =337.906•K. . •. ·• . , . . . ·i. . . mass. . . . . . . .,. :... . . . . · .. : .. r~_- etOic .;;64.1s6~1C- c·c> ... , . · · · · ·· · ·_ · . ; .. , , .

.. _.~ ' . . - ·. . ._ . . ' --.: . '-:: . :rempenmn dn,p tttrou;ti the •cotd· c:abies.

:- - . . . - -·

.. :

... ~~ .. : ... ~ -.· :· .

·: ··. . · ...

···: ·. ':,.- _:.~

.. ,- ·, .. ,

·-...... . •'

.· .. :·

.• :,::o_

. .

Temper8tJ.Jre_drop ~ough the ~arm" cables

k ·- 1. .mass----Pmass

EA-ELEC-AMP-039

. ATTACHMENT H. , ::i. ~:-:1 ·:L :::~ :::~ ·::· ·;·· ::~. PAGE 13 OF __ ....

·_.l

...

. · _,'- /·_· · ..• Pmus (dW81m)· qdot2..[ (d7't-(d~o')' l qdd~ (dtiot)~ . (d~i· ..... ~T ·. :=Qhof--·ln ---- + - • - ·In .

. · wartl'.l: ·_· . : ~·E. . d hor ·. 4·~ PllW 2·k mass 2 ·. . ·. d hot . •

~t·· =O~K-· . warm.

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

.. , ~· - ....:.... ·~:·

·. Tempefafure Ris8 tlirough the hot-eabl":· ·:.-. . · .· ...

~· . . ..

"· ..

;: ... - ·. ·.

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

·,, '.

:· '·

. . . ~· .. ..

·-.· -·

; ,-

' 4·k · .. _mass ...

. ' ·. '· '

... •.:·. . . . . . ~

···-·,

'"'. -- : '•:• ··::

~ _ ...

• .. ' .. ··

Holinan, Equation 2~2s

..:· .,. .. ~ . .... :.~.;· ,_ .

. : :.~·;:;~~:.~~~~~~i~~~f~:-r · .. -~,-~'"-; .. -:·, ·.. < .·

. ·.: ._ ··.·

.·. :·

. " -~. -. -~

: -;·::'

. ·' . . .

",_ .':

'·

'···· .

...... ·

,>.-

,.;.: , •·'

·'. ::

·. . . .•:,,

· .. ··'

....... ..:·

.. : .. ·; •'

. :. ': . ...

.. _ -. .

.1:

:··.

.·.: _ _ ,...

. ~ .:

·'

:-~

. ::- .•• -.c·

. ~ . ..:: .y j

. ,. . :~ •. !' -

.· . ·,

. '.

. .- . -~-..... ' ..... -:·~. ··: ··:··

;:

. . : :.; ··: ~ . ~ . -.;._.-·.,

. ..

.-<

'··:

~~(Index_~y~Cable_data) ~.( 0 ... -: . . .: . . . . : . . 1

~·· .

,.\.

Qtotai =8.6li~watt·tr 1 ... :· ·.

Q ~bleitat_~ ~:~.6~7 :watt·ft· 1 _· ·1,,.

. • ...

:.:-•.; ..

.··-·· ... '• ....

...... ..,.,.,. ~ ...

...

"•,

·~ .. .....

2 . 3.

14 28

: . .:

1. o.s 2 0.37

···1

Fill_u =0.487

.o 0

130

o·

'.

:

Fill.J>~er. ti =o.os . - "

· Fill_wam(u =o ·

. Fill_colfi_u .;,0.407 .

.'

·.·_·

EA-ELEC-AMP-039

ATTACHMENT H .''.PAGE:"14 dF ·.> .. ; .....

... :

•i.

. ;:"'.;'

. :·:

'• ..

.·':

-· ·\

. ·.·.·

...... ,·

''. •. -: .· ·•> ~ ~. ~ ·_ .. :

""· .. ,;

....

... - .

:.:···

-, ::--·

.~· .... · .....

·.·:

...,, .

.. ...

····· ·/ .

":~

.. -; .

. ·:~

.......

.~

... ,

.... -- _ .. ·.'

· .. -~ ·. '• .

. EA-ELEC•AMP-039 . Page 1 of :!/:t...._6 8 Revision .1

:AT_TACHMENT M ... ··

.· _·: .. .. ·. ~ . , ··., .... ··

Methodology··for·:.oetermining · :··th9, ·conduc~or Terriperatu.re·:

· · ·of Cables in. Condu·it ·-.· . Routing POints· .·.

.. -..

,·· . -.....

. ;_·. ·. - '':'""'.· .

. . : ... :··. ' --. ,... ... ., . ;-

.. ·.,

...... ·

_. '

,. ·• ....

... -~

,• ·.:·

·:· •f·,:

.'• . :!.;

'.i :. '

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

.·.··. ·- . ·. ,-· ..

... . .. . .. ~

. ~ . . : .

. ''. ;. . ' ~ ,·: - .

. .

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

. ,.· .. ..

' - .. , .·

· .. 1-. ~ ·: ·'

'· .... ..

. ;;T,, -~ .

'·• ...... :._

·~ . . ..

:°' .~

····. :"'" ' . . __ ,· __ ::-···

... ·' .. _,, ".···

,. __

_:_.-: .....

.·.,_ .. ; __ .--· .. ..

. ··.· . ,.·, -~' . - .

.. ·, . . . . ,_,.

. ·, ' . ' ~-.

; .... : ·'.·;- ·. ,··,

·,·.

: Prepared .By :: · · .

Reviewed .. By: · . .

·,...;.;

- ; -.. ·-::

... . ·.-·

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

~~~,,y• '~'IL~ s/10/11 .:· . . . ' . . . . . . .

• 1 •• :,,.

-;,:

. ..:

·' ... ·.

. -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: . ' ' . . : -the c9nduit Call then _b~ deterlnined by a lookup table in ~he slieet. The .co~duci:o~ size~ -· • ·> · ... · ., : . ' . riuniber of cables m the group, number 6£ ~ond~ctors iii each. cable, .cable cliaine_ter, cable"~~- . ·: . '.

andloadctirrent for the.cable is rea~ from a 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 ··.-. ·.

_.· 1

. . 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> o if 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,

- '

. . •' .• - . . . - cci1culatlon EA-ELEC-AMr·-039 . Attachment M · · Page 3 of 68·. · . bundled toge,ther; the area calculati~nS assume that the cables. are sqriare to allow for thls . 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. . · · · · · · -.· _ ..... ···

~ ·. .

. 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 is calCulated by treating.the ·. ·.· ·. : ·."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 if onnula 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., ·•

. .,, ...... :- 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 ....

. . ~ .

.. ,: :··- .

._· .. ··· .. ··

t.,, •. '·"·i! :'

..

-,. ''<

>· .

. .:.~

- .. ~-

~ . '•

· .. ··:·;· •·· ·--.:r

.\

'·"\ ..... ·._- ... -~ ... · ... :: ' - ..r-.

- .• : . . ~-.' then. the surfac:e temp·eratui-e of the .conduit plus th~ sum of the tempel'3.fure: drops describ~ . . . • ~. , >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 . ' •. ' . . -. . . . . . . . ~ . . . . . . . . . . . ~ . .

!_ -, ·, ;_

. -~ '• : .

.. -- .,-·

: · .. :·~. < ~ :· ...

·,,;.

.. -.· ..

·.:· .·. ..

. ..

·- ·.· : ' ' . '

.. -...

. ·:··: . ..

· .. , ...

,· .' : . · .. ; . -~·

':.-· ·.=:

·. ;.- ·. · ... . .

••• _. . .-. . . .. 'v '· ...

-·: ·. -... ·

. 'Calculation· EA~ELEC-AMP".039 Attachment M Page4of 68 .. ·

· .. ~· .

··.·-· .

~emperature rue::~~ taken form Rclerenc:e 12 .. :- :·

-·.'

t. . .'

- .. ·'. :·,.

.. • .··

.. ·.---.

-;· .· .. '

. ': . .

-. . . '' . - ·' . . . - . .· .....

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

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

Rou~ing_ CondUit · Fire Stop Point .. :No~alSiZe •_.. Type · ..

·: .• ..

·.·.·.. T5-·o··_56. · .·- 't •' 2.s ": Rigid. Steel Nolie:·

T•:.

.·· ...

. .

T5058 2.5" ·Rigid st~el None: . .

T5065 1.5-~ Rigid Sted None.·

xi041 . 3."Rlg1d.Steel ~ .·.•· 24~ wall· x135o ~ '3~.·_rugicfste~ · · 24" wall . ·

(~~~all.~: · · · ·

':, ...

... _.

••

1 ,.·

~-: . " . . ~

... : -

. . ~ ; ...

_;,.,.

Calculation EA-ELEC-AMP-039 · Attachrnent M ..

. Page 5 of 68 . ··

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

5~ <

. \ .....

'·6. <

. ~ ...

· . "Ampacity Evaluation for Continuously ~nei"gixed Powe~ Cables Routed · · throu~ Fire Stops", Rev.·O .by~ Hernandez, dated March. 24, 1997 ..

. . ~ .·

·. 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~. .

.•_, ·,

~ 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• -· ·_:: .,

· .. ,,., ... . ; .· " . . ,· 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 . · :- .· -: - .. ' :; < _ -- .. Attaclmient' 2S, Appen

'' . ' · ..

...... .

·;r·

· ..•. ,. - . . '.to ..

. . -. . . ·. . . conduitTSOS~ tso·ss.m6d ·

• ... ·

Conduit Data . . Nominal size- Rgld steel . ·. · Nominal size·+ 0.0002"-·EMT . . . . .

· Conduit~Trade_Size := l.SO·fu. , . Enter Cable Data

. . · · · Fire stop C()de

F~_Stop_COde := 0

·:··

EA~ELEC-AMP-039 A TTA9HMENT M PAGE 24 OF.- _

Fire Stop Codes 0-Free.air 1-12"wa11 2-:- 24" wall ·~· 12" floor ·~~4" floor

.... ~

·. Cable_data :,;READPRN(data_file) . : ...

_;_

. ··.

Number of cable groups inJhe data -. · .· . ... . . ··- .. - _· ... ~ .... -~:. . .

. ·". -· . .. . .

: . -~ . ., ·..:.·~ .... '. .. :-.- .

... .. :.: Stefan-BoltZm~nn Constant __ ·

,.-. - · : S 66". 9. 10-8 .· .tt - - 2 ~4 - - · ... Holman, ·P .. age: 3· 07 . a:= . . · ·wa ·m,_ ·.r... • ..- ; . . . . . . .

. ·· .. · : .. '·

.•: . .'.~ : .

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

. . ;.•

.. • ...

. · .. Conversion faCtor betWeen d'egre~ Celsius and-Kelvin ·. Ctot:~27J.iS·K ·, :· .. _·;. · ,. . . . : ·'·

., ;; ••• • • >~

..

. '·,, '·

·:-. . ·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

Note: The inside diameters for rigid steel conduits built.·.· · o.5002 ·. 0.622 o.7o6 .

. 0.75 0.824 1.050 . to ANSI C~0.1-1983 and later are somewhat different. ,. · 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 := · ·iil

2.00 ..• 2.067 2j1~"

.. ~·.

. . ~··

,,• ....

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 . ' ....

.. 4.00 ... 4.026 4.500

4.0002 . 4.3J4" 4.500· . ~ . . · 5.oo· · · 5.047 : s.563

·~ .

•. ,,>;, •.

... · . . •' .... ·

'' ·-

.-- .· , ... ..::·

,:, .. , ·._·; • , • I • ·~. • •• ',

... ,• : . ....

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

EA-ELEC-AMP-039 · ATTACHMENT M ~AGE260F _

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

. ·:. -~·- .. -

.... ,_ ..

~' :

,·

. ;· ...

.. · , 1

. 2

·4

6

8 ..

9

10

12

14

16

110

· Table.:..size := · 210

'•.:''·'

250

300 ..

: 310 .

,350

.400

' 410

' ... ·.· 600·

,• : . 750.

1922

1925

... -

. · ...

....

0.0161 ··

0.0203

0.0324

0.0513

0.0818

0.103

0.130

0.206'

0.328 . '., ...

. 0.523

0:0128

~ ·.· .

T bl . . . ' 0.0101 '1·0- 2 ...... :ft- 1 · a e_res1st := u

.... , . : .

·.·.•·

.... - -~ .·

0.00542

O.Q0453

0,(X>804 .

0.00389 .

.. 0.00~41

O.OOQ39

0.00275

0.00231

_0.00187

0.108

0.217.

···. ·'

,··. · ...

' Q ~~ • c (... • • •· ...• Q cab'.°""'-"'" . . . .. ,· · _· .. ;'~ata_indcx . ~~b.le_di~,~~~) -Number~caple8na~_indcx

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

• . • 1.,.

·., .. ~- \. . ·. .: ·.,_-

····· ' . ' . .. ·.·· . . .•.

.. - .

. . ~ . :··

-· ......

: .. ·

. . - . •'. . ·~. ' .

.. ···:·. . . ·· . '., .

·· ... · ... :: .

'. . ~- . -~ .

'····,

·.'1·.

. : ' "· ..

. '. ... ·_, ...... .

. l"

, ... .-. ... · ... ·

··".:',. ..

· ... · .. .. ' -··

·. _,.'· ··, . . _r,,

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

>-:.: Hottest::: ~(Q d~ity) · ...... ·.:.- .. ··· .... -.

., . -·~·: _, ..

:··· ·. ' . .

. -.. ·-~ · .. ' . ·.,; : : . -:>·-. '.< ·-· · ...

. . .. ·.:

-- .. - ... ' .

••

- : .·

. ....

. . ...... ·-h- · •

. ·-·. . . . . - ~

EA-ELEC-AMP-039 ATTACHMENT M

. PAGE.27. OF ..

. ·Temp :=rev~(csort(augment(Index~array:· Qdensity_).:1)): .· · . , _· ;· •-: · _ : · · .· .. . . watt· tr 1-in-

2 . •.

- Hot index : =Temp · . - . . - • 0,0

Hot FlagHot . d. : '. = 2 · - . mcx

· . _ . Diarneters of Layers

Hot_ index:= o

Q . . H 0 ft- 1 . - 2 d..,..,;ty - ottest = ·watt· . ·Ill ......... Hot_indcx._ . . .

· Hot Flag now has values of: . 0 for unloaded cables 1 for -Warm" cables 2 for the hottest cable in the conduit

· •·· Diameter of Hottest Cable .. Number_ cables.~ .' d · = 3. .. . . . . -Hot_m ex .

. . - . . - .. . . . . 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 · ..

dhot =+:.__cabl~-~~1.2t:ot.d~-) . dhot ~086~ • .; ·.. • Area·a_nd diameter.of-Warm". cable layer .·

. co~ta_size-:- .1 r . : -. .·.. . . . .. . · Awarfu := .· . :, .. L . · · ~ ~ot_Flagj=h (Cable_diaj)2·N~~_cablesj'O·in2] ..

.- .j =O . - 1·,

_ (Data_size·~ 1)1· •.. · _.· .·. ·:· .. (~·bi: di .)2 . · .: · ·· .· · .:] .'. _ .. '. 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. ~ . ·. . . . . .·. _ ., _ - . .. .• .•''

.: '.'

. ·. . ·-

. . '- .·,.

.: . -.~

. ·-.:-

.. ...

' . ··_,. .... ..,"" • • ~- ! • J

.,. r' .. ·'

···~.

. .. '

..... .. '· . _: ·'. . . ' .· ~ ... ~

:. ~-~:

. ..

.:..:'··

· · :·. A~ld.:~·.'. ·_~'.:··:-. b" -... ~Hot_FI~s-~Q. (Cable_dia;)2·Num~~cabie8:,o.in2]Aeold ~q·iri2 < · -. ·. . .• ·. ·.. . . •• ~~~~:~ii) . . J~ .. c b1 di J

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

·., ________ ,.. ··,·~, ...... .- .· d cold' : =·~, : dcold = l.043•in ,.• : ·.·:.':

. ·, .. :·· .

.. ". ":· ,· -.· : ' ., . •": ·.:.. ·.

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

' . .,.. •: •, ,c ...

.•

•

', . . ,,_

- . ·,.

EA-ELEC-AMP-039 .ATTACHMENT M PAGE 28 OF

·~

. -..

. . A oond : = ~n: (d ~ndi)2 = 2 036. • · 2 · .·. · . . · 2 . ·. Aoond · 10 · ..

- • - ... • • • • • "I- • • •• .,,;..

(Data_size- 1) · ". · · . (Cabl~_di~.)2 · Ac~bi~ ::: . . L Number""'cablesj·n· · ~ J

·.. j =.o.

.. " . '. 2 . A cable_= 0.671 .. ·m

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

.A-f,ow_,; ''° · . j ~ . , , I l· ·-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"

. ,, Q·h ·-'·Q .·bl. · '· .·.· .. ·. Qh"01 =2 ..... 67 ... w ... att·tr __ · · · ot ·~ ca e · ·· . · . .. ··. · · . . : -Hot_indcx

'· • . ·Heat g~nerated by 'Warm" cables·.-... . . (Data·s~.:.-i) .... · ·

. ·_ .... : .· 9w~:.= .. : .. t· .. ·- ~~ot~~agrt~Qcablej:O·\Vatt·tr•) _,, . "j =o·~: . . .. . . . . ..

.. •. •::·: •• __ ". !'.···.

.. : • {·' ,q~.2 ~~= _ q~w;.,,,: L99'W8~ft- 1·in·2 >. '· , ; ' ~--. . . ·7: ,._ ·. ·~

·. ~.

·.'-. :, ....

- .

. ...... · ... .• · ...

•.',.;;,··

. ··-· ': .·.-

. ·~· ·.; .. '·•. , . ;

.~-

·:_ ...

.- . . . . .- 1 · Q. - -·· =0.54S·watt·tr . Wann·_ . . ·.

... .--_,'.-.:·'·.

. ·.·.

.·: . .·,:,

.....

·,.:··

" .

"

"

.· ..

·: .

.. ·..;·_

:-·''-

. ·-:. ·:

.-• . ·· .....

" .. :-; __ ;, .

·.·'.;'. :} ·.' • • ..., 'I. ... ·: -~

. ~.... .' . ·~·

. ~. ,_ .. ·~ ·'

-~ .·

.-· ..

-.~: .·_,

>'.

" -._ .. •

.":-

... . ... -..:,

. ~" : ..

·-··· · ... . .

. ··.·

. ·: ..

· .. · ..

.,

.. ;-

.~:.

·'. ,•

·. ~:. ·:'·

- .- _ ...

';.

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: .. b) · c '.: ._ · .. _ . . . . · : d . . . con o . · am

.. · · · · . · . condo ·

. - . . (H~iman,Table t-2 a·nd Equation)-8) . . ··:

. ... ·_

Initial guess for .. iterative solution of the· surface temperature of the wrapped conduit. · . . . . .. : .

·: -··· ·.·

.. · Q total=Q r(T ~) + Q c(T ~) . Heat dissipated by radiatio~ and ~onve.ciion· · · · · · · . .. · · must equal heat generated by cables.. · · .

. ·- . ·_: . , , .....

-: : ' 1. ~~·:_;=~in~(~~-}·'.' : ; ... -.·

.; . -

. _ .. --; .. •,

·'. .

.. .. . -·

... :: _.,·.

. :· ' .... . ' ~ . ~ . ,,· . . .~. :'"'

·.,_._ :_

. -.: _.-. .. · .. ' ... ~-·~ ,_· ., .....

-..,. ·- . ,·

.....

.· .· -·

...

. ..

-~ : . .

. ' .. -:.:

:·;: .·

. : · ....

- - ... . ·.·' .•

~- ~ .. .. - -~ .

. ·.":'. ·.· .. ' i

. : ~ .·.-.. ,·:

--. ·:- ~

.......

. .: ~ . . . .

.·'·' •·' ..

•• t"

l· '"

·.:.··: ,·:

;;,- .. -;·-· ... : ..... : ·:_:·

. . . . . . .

•

· . .-·

.· ..

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. :_ . . . . ·. . .. . . . . .

. . ~ . . •. ' ,•:."

··. ., , ... ,,·.

· .·Temperature Orop through the Air. Gap Inside th·e· Conduit

: EA-ELEC-AMP~39· ATTACHMENT M PAGE300F _

. ~ .

·, ·.

. -: ..

.....

.. . .· ... •'

.,, '. .. - ~

. -.. , .. ·. ,·

.... '. ' : " .··. ' j

.... .-. ' . .. ... ~ .... 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 41 A 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 -~ ctoK =s7:s1·9·K·(0cr .,. . · · ' mass . . . . . . .. ·· ...

..

· ·· . · : : 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.:.· .. · .... . .. . - .... -

~ .: .· . . . --, ' . . .

. - .·-··.·. ·. ·· .. ·: · . . :'· - '. - -··

. ..

.:· .. ·: , .... ·

.' '•, .·.

. . . :.

··.: ~· :-~

.....

.....

. ~; ..

.,

-.

,•,::_ ... ._,,--·- . T-

Temperature dr6p th~ough the "warm" cables

·kmass :=-1_ .. ·· Pma5s

EA;.ELEC-AMP-039 · ATTACHMENT M. PAGE 31 OF '

. A;waim.:=Q~0/m~.1Ii(ciw~)+qdolwmm[(4~k~=)'-(~)'] _ qdotw=(d~)'m(dwmm) .. : ..... · · · · .· 2·n dhot · mass . · · 2·kmass· 2 · dhot · . . . ' . ' . . . . ~ . ., . . - .

AT . : . ,; l.18•K .· · warm · .. ·

(Based on Holman, sectjon 2-a·solved for a ~ifferent set of · Initial con~_itimis) ·:

.. , .Tw~•=_Tcold+AT_w&rm .• Twarm.::CtoK=58.999•K°C· .. ,

··:

•• • < ... ··

· Temperature Ris~ through the h_ot gables ··=--.

'.··

-:.· ··-,· .. ... : . ', .· ' '2

. . . ·. ·.Q ~erisityHot md=. (d~o~). AT ·= . ·. -. · . hot· .. >A·k~

,•. '; ..

Holmari, Equation 2-26 .. ·, . ·:;.· ';

. .. ·' '~ . ·. . ,

AT .hot= 2.788 •K

: T~able·:=T ~arm.+ AT hot ''.

' ' . _: _· T cabie-.CtoK =61.787·K_ °C·

,-_ ... ' _,·_

•". . . ~- . : .. -. . '. -·. .-, , . . . j\

·: :: .

·" :; .. ·:. ;, - -· ·-.. ··:

·:·· .. . -...: ':'' .. ·

·.· •; . . :"'. . - ..

., . ~'

- " '.· . ·-.... :. ....... ;: .. ·: . . .. - ' .. ' .. ··- .. · •. ,, ~- - :'!. ,•

. :.- .. • .... : • •• ••

•

.· .....

. •:.·

·.;_

·:·.,.

·.·• -· «:. . '

._'.' ...

. . . :.~· .....

'· ..

· .. ·

-.

.· Conduii_Trade_Size ~ 1.5 ·jli . . .

.' · .

- • .. .- .

Q tot81=3.2is ·"1~~·tr: 1 . · .• . . ~ - . . .. . . 1 ·.

Q · bl· = 2.67 •watt· tr . ~ · ca . · e~ot_indcx ·

' .. ~· '.··. ,..

. .-· .. : - :--.: ,.·

·.--:: ..... '. ·:,

- '..:':.' •.J•

.... ·.·.····