Text

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)
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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" 9707180084 970710 I i PDR ADOCK 05000255 P

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38 Pages

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.... ' 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

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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. __

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Superseqed..

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Technically Reviewed Revr Appd CPCo

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.is. EA sup¢rsede¢.the portion* of _EA~EL:EC~AMP-034. associated with open' air 'conduits~.

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Revised Sections: ">'* * *

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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:

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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.*..

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The scope of this analysis Is limited-ta an. ampacity

ev~luatfon o(* ::.

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

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. Referenc*e/Comment

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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.

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

. * *.used for eaGh cable is cfQcumented in Attachment I~ *.. -

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-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. ---

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. :- 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*. -..

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Ill., -*ASSUMPTIONS..._:

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

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

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

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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. - --

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PALISADES NUCLEAR PLANT ANALYSIS CONTINUATIOl\\I. SHEET

EA-ELEC-AMP-039.

Sheet~ Rev#

1.

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 Referenc~/Comment

- *}:

'. 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*

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

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

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. : ;,, ___ :.. _:. <.. 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 al.! co~dufr size_s:. **:;.*'

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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..

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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:*.

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. *... 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*.

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

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

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

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

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. *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.

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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

' ~. -

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. 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,

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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> ** *.

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Reference/Comment * *

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. 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( _

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-P~lisades Drqwings _and other" Plant'Data : :

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B.

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

,L and L-*- * ' * - * * * *

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-:f* *'.

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

-. : - - : * *-- : Number Designation

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

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

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

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E~

~i;~i~; ~{~~~:~~,;~~£tarrying Ca~le ROute;fin ~9~ 'c~nd~its < * * '*...

.,.... :: :.:,;;!;~'.~;.-,_,.,it~

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

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

~.. :.

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

Volullle _1

~ Copper Conductors" *

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~:

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

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

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- 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.... *

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

I --

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*: ~<- -

.. :. ~

- . b.

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

G. -* Enhancemerits* t~ the CBS Working C>~ta_b*a~e-:* < :- -_ --

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

~'.

- ~ *.

. **~ *:

..f:..

~. '.-..

.. * /

~. ;.. ~.

~.. -.

. "~..

').,I :r

r

(.

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

.. ~ '

.- Cables" Fieid _Bla,nk '*

r

. : *~-..

~** '.. -.

-3c:..

Ehhancements.-to Cable Codes-In CRS

, *~,: *:

I '

1

~.

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.~

~

~' -

~~~

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

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

~".

f.

. ~.

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*',

. '.. ~ *.. '.

~

',..... ~. -

~-. ~

~.

.. ~...

Reference/Comment

~

,'\\

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

,'. ~.

-~...

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

- 3 11 ;,

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<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> ::

-~* ** : *

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. ;watf1C_ 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<...

... ~ '*..

(.L

~.-

..... - ~ *. ~.

~.... '

. 1'

~. -

"*'

Misceuaneotis *~onstan18... ~ <_>

.I.

'?'***

-~

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

I'

'.:°'

. _Holman, page 307 *** *

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

~--

r.

. :.. *.' *t.

. £ ~

= 0:3-~'.' _c~ndult emissivity '...*

. ;-:~

~ -.:. '

... ?!-

~c

Convefsi~n factOr between degrees Celsius and KeMn

c~

2~3

1s.i( *.

. :* *. r&mb:~r~~CtoK>: _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<0>*.c<mdw1_Siza<t>.~duit_T~~_5~) dd =3.~*in.

. dcoodo := ~(cood~1_s~~>.c~1'""siza<z>: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

.-. ~

~ ;..

.-... *' <O>

... <1>

~> '

,. ~ ~le~si7.e*:=. Cable_~

.~"."cables := C~;data. Numberj-0nd11ctors. := Cable_ data I-';"..

. 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

,:~*

2

1.0) 4

i.

. ~

~.

. ~..

. *... }

=.

~. -.-

-~

~. -

.. *. ~

~:

.. ' ~ :

~..

.. 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~in 2l: _

AWami =<Hn~

. J*-o..

cO.:~~s~ -. I) J..... (Cable dia.)2 _. - '. - -

... _.- *1: {

A~:*.'

-_.L. 1Hot~F1agj*l, _ 2-J

lt*~wnber_cablcsj,O*in 2

J*Q* ::'

-._.. * -A-wum.-- (d hot)2.. _

.. d.

r 2*

+ --

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

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)2:N~bcr-:-~blesj***O*~i] A~

=3.S33.*iii2..

--... *j*O.*

. : (Data sac -: 1) J.

.*.... (Cabl dia )2......,...._

1 **

Acoldr'.:=::: :,, t **

~Hot-Fla8J110,. * :-

j

x*Nwnber_~bl~j*~*in 2. ~

j *_o:..

i.. -

.* (. '.- )l

. > * ' 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:.

t ;.~.. :.

~ -

~ -.. *.

~ _,. !.

. ~~...

.. 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

.)

*<(

-~.

Given Qtotal~Q ;(r-~)~~ Q c(r gU~:.r

\\'

. Heat disSipated by radiation. and convectio~

mushquai h!tat generated by ca~ies..

. -- T ~

= rmd(T * )- > _

-~..

~

.. ~*

~*.-:.'

'l* *.

. *.. *, Tc0iuio.=32Z:,Jfl*K~. >~ _*. T~

- CtoK =54.161*K 0c

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

.. Surface.temperature of the.

conduit * *

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

-*.~

.. -~ *: : :..

~,..

'. ~~*. *~:.-

~.'

.I*

~.,

~.* '..,..

-~*....

..... T

~, ~

~..

J.....

\\.. *

.. -*.r**

.."i*

-. \\.

~,.

...:~

-~.

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

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,<::

-~ :;**.. :-

..* 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*

~--.. :*

. -~

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.~:

.. thickness is * *

18").

x1s14 3" }ljgid Steel.

24l' wall Rated.

ConduCt:or

ConduC:tor ~.

Conductor.

.'f.emperature*.* *Teniperarore *..

Temperanire *. *~ Fre~ Air

1n Fire Stop..

. (oc),:.... *.

(oc)...

. (oC)....

74.3 75 75_, :

--; *~. ! -.

. 61.8

'. *-. ~

.75<.

.-90.

74.6 90.*.

7i~7 *

.. ~ ". :.*.* : **.... 83 1 **:......

~.

84.i 90 81.s**

.. *.~

. -*~

-?

..... J

.. '. **::*.J

.,_ '* J

}.

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

~

... '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."

-~-* f, *

~-..

~ '

. ~-

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

'--~-.

~:-**:.- ~

~

.. _,.r. :.

~ ; ;.: : :"*

. ~. *.

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

.~ ~*. I CEJ\\ P54-440~.. " Ampacities of Cables in Open Top Cable t iafs.,, w ashington~ <

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

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.

~.. *

'/*

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

.. -:*:<_.,.:...; *-'\\:::<:...

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

( x. :_.,. :. "*:.. *. *.. *
. :" d 00ruu_:~l~~(~ndwt_S.~-.,Conduit_Sizes
,Co~~wt_Trade_S_ize,}
deondi=l.6l_*m.~.
~ *.
~. d~,:~lin~(~o~d~i-~~
.q,>,:;cond\\iit_S~~,Conchrlt_T~ade_s~)' ': : d~ndo ~ 1.9*.in:
~.
.. ~..
~ '.
1.00.
1.16
~
Free*air... '
1*2:wall.. (calculation EA-ELEC.AMP-041;.Abchment.8).... * ** :
24 wall:
...... : ;~. *.
-~.
~.*-
~
~.
~-*
\\':*
~.:
.... [.
'~:,
7
.i FS_Temp.:_Factor := 1.32
~-*.
'*I'_',
1.33 12" floor*
,.. _ * **:. 1.52
24" floor
-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
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*in 2
]..
.-.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.in 2]Aeold ~q*iri 2
~~~~:~ii).. J~.. c b1 di J 2.. ****** ***** *.*.. J ***.* *****. '.
. *: Acol~ >* 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<'.adtO;amp,J,lumber_cabl"'; **.. 2-. '
'. 0 in 2
Apow~ ~0671 'in 2
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"
.,, 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~tf 1*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\\
~'
~- - :'!.,*
'~
*...

*:~.... : _.. :.
.. -::... :.._~.
~*-.
l.. ~
.~
.... :.~ "
_*'I
-~.
~.
~..
. ~*.
.- ~-.=*. * ~
~
~ ::
1
.. "' --:*.. ~ **~..,
,',l
. '. *.,_ ~
)
.~*.....
.* 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*
.... *.*.****<'.kd)~":,
-~. '. *. -
~: J
__...... ~
l.
.,._ *- ~
~...
~...
.. -~.
. ~
EA-ELEC-AMP-039 ATTACHMENT M.
"PAGE 32 OF-T conduetor-CtoK =61.787*temperature
°C o.44 _0.005 0:31 0.033 Fill_u=o.33' Fill_power_ti = 0.224-*
. Fill~waini_u =0.106
Fill_eold~u =O
Column ~Row numoer.
~ '*
.Column 1~ Gable size Column 2:_ Number of cables Column 3-Number of
. conductors.
Colum_n +-Cable diameter Column s_:_ Not used
Column ~Load current :
\\*.
-**,,l*
.1.
-. ~ :*.
.. ; __.*

ML18067A636

Text

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