ML18067A637

Excerpt from Ampacity Evaluation for Duct Runs Containing Continuously Energized Power Cables, Revision 1

ML18067A637
Person / Time
Site:	Palisades
Issue date:	07/08/1997
From:	CMS ENERGY CORP.
To:
Shared Package
ML18067A634	List: ML18067A633 ML18067A635 ML18067A636 ML18067A637 ML18067A638
References
EA-ELEC-AMP-040, EA-ELEC-AMP-040-R01, EA-ELEC-AMP-40, EA-ELEC-AMP-40-R1, NUDOCS 9707180086
Download: ML18067A637 (26)

Text

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1

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I ENCLOSURE3 CONSUMERS ENERGY COMPANY PALISADES PLANT DOCKET 50-255 Exerpt from:

EA-ELEC-AMP-040, "Ampacity Evaluation for Duct Runs Containing the Continuously Energized Power Cables" 9707100086 970710 : I PDR ADOCK 0500025fi p

PDR/J 25 Pages I

)

PALISADES NUCLEAR PLANT EA-ELEC-AMP-040.

- ENGINEERING ANALYSIS COVER SHEET -

Total Number of Sheets __

le Arnpacjty Evaluation For Duct Runs* Contajnj-ng -Contjnuously. Energized Power Cables _

INITIATION AND REVIEW

. Calculation Status.-*

• Preliminary * *_ Pending

. Final o-0 Initiated Superseded 0

Re v

• lnit * --

Review Method

- Technically Revr Appd *

- Reviewed Appd CF>Co Descrlptfon By.

t--A-lt__,...--..,..0-e-~-il-. :--Q-ua-l-+----....---4 By Appd 0

Original Issue

_* 1 See Description Belo~

• -*By Date NehlS/

Ashrafi Cale Review _ Test By.

Date x

I.

~

Manasra - * ~o.'.

~~

Qt--*

~ -

.*x:.

This *analysis is preliminary untll j-ustification can be provided for major.assumption 2, which' stat~s that.*

temperatures of cables installed in'. duct banks will be unaffected by.any -nearby -he~t source. '

~---..

Revision 1 '. __ _

~

. -?~'..

.*-...j

.-i

• .i Revised Sectiq-ns: -~

~. -

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

f

/'*

~-

Updated_ tex(to remove fy'lajcir Assumption ( and to provide the methodology for using IPCEA ta-bles' for different' ~ize and temperature ratings* of cables*..

Added Secti9n: > * *

.,r.

• I :,.I

~

Attachment M - su.pporti_ng *data f~r. cables rated less tha~ *90°C.

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PALISADES NUCLEAR PLANT. *

• EA-* ELEC-AMP-Q40

• .ANALYSIS CONTINUATION SHEET

. Sheet _2_ Rev # _-_._1 _

I.'

. OBJECTIVE.

Background

.- During an analysis being performed to adjust the anipacity of cables routed in cable.trays with a fill greater. than 30%, it was noted that *

• analysis does not exist to confirm the ampacity for power cables routed

. :' through duct bank~.* *

-*This EA will establish the.. methodology*and evalu*ate the ampacity for**

. '*..

• continuously energized power cables routed through.duct b~nks at the*

Palisades* Nuclear, Plant. * * * * * * * *

• PURPOSE

. _ The purpose* of thi_s. calculation is fo verify.that the continuously energized power cables installed in duct banks are su.itable for their circuit loading

• condition(s) without exceeding their continuo*us"temperature *rating,\\*

~

SCOPE*

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

~...

• _. The scope-of this calculation is. limited to* the-.evaluation of ampacities.. of*.,

.. power cables _installed in d_uct sections shown* on drawings in Reference*.

1x.2.*

ii.. : : INPU_TDAJi\\.

... :* ~.-.

• • • t

. ::. * *1.) The cable information. was eXtracted froni the *Palisades Circuit and.*"

-~ _.. *

• . Raceway Schedu_le (GRS) database and is documerited in** * *.,

Attachments A and,~. *~ullload cwrent values were obtained.from*

EA-ELEC-AMP-041 _(Reference IX.1) ~nd -are gocumenteQ in :

Attachrrient*L* ** *. *,.

"'"I*

~* :. 2:) The following data"~sed in tliis analysis was obtained from EA-ELEC:.

• * * -y< AMP-030 (Reference--IXJ):: *

-Reference/Comment

-.. ~

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. *.. ~

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• *** )

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• t

' ~ *"** *

., ' * *. *Soil The~al R~sistivity:_ * -. -

.*. 90°C-CM/W:..

. *:..-,.~: -

. ~u-~t B~~k Th.ermal. R~~i~tivlty: ~" 85°C~CM/W' : -_ <......... *. ' ':._: :.

.. ~.. ~

~...... *'

• * * *_- Soii/Earth Tetnpeuat.ure *:_ *;_

• __.

20°c 3.) The resistan*ce and copper diameters for cables are taken from.

.. Sargent ~ Lundy Standard ESA-102 (Refer~nce* 1x.10).

~...

.* PALISADl;S NUCLEAR PLANT.*

. EA-ELEC-AMP-040

. ANALYSIS CONTINUATION SHEET

, **. Sheet~ Rev # _1 _

• It INPUT DATA (contin~ed)

.4.) The cohtinuo'us.conduct.ortemperatur~ rating of the cables in* duct.

. bank Section V-E315 is 85°C. (Reference* IX.7). The CRS database.

was reviewed for the remaining cables in. other duct sections and the.

ass9ciated conduc::tor te~perature ratings are listed in-Attachment M,

• 5).. The. duct barik dimensions and, cell sizes a*re takem from Palisades. * -

.. ~lectrical.Drawings (Reference IX:2)

.. 6.) The anipacity of conductors in ducts was taken from iPCEAP-46-426 as follows:.

• Size *110 and larger:

• .: *...

• 8 KV;* 90°C Conductor, 20°6 A~bient Earth,* RH0~90 ~nd 100%

• :'..~-*LF.(page 241)

~: *

• ... 8 KV, 85°C:Cdnductor, 20°c Ambient.Earth:*~HO~so* a~ct-100%._:_

LF (page 238). *

~..

~

. Size 1 iind smailer: *..* -.. *, * *.

1 KV, 90°C *corid~cfor,*20°c Ambient Earth; R*Ho~go*and 100%:

LF (page 240)..

. *.-7_.).sc~sa-01~9(Reference1)C1) ~as issued to replace:the soo MG*M.. *_

• * *...... cables** feeding* the 2AkV Swgr from the Start-Up Transformer 1-2 with'.

. ;. :. 1 OOOMCM cables. Tnis data is not incorporated into the CRS *. but wifl..

~:~:* *' *. ;*..

• be used irlthi~ ~uialysis.~.... :.*... *.. :

.'._. f...,

"(*:*.. ::. :1 ;:-

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

. *ASSUMPTIONS.~,J**:

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• M.aJor Assuroptlaa*s" **-.. <._: '_,:* > ".-:--

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. 1.) *Not used:*.~:'.** **.~

'to:..'

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.. *2.) It has been.assumed that there.is no heatsourcE; nearby which*wiil*

affect the temperature of the ~bles installe~ in the dlJct. banks.* This

• .assumption requires verifica~ion~..

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PALISADES NUCLEAR PLANT".

ANALYSIS CONTINUATION SHEET EA~ ELEC-AMP-040.

Ill.

Sheet _L Rey.#._...._1 _

ASSUMPTIONS* (continued)

MinorAssumptions *

• The ampacity.value in the IPCEA is. based on a duct arrangement of three rows, each row containing two cells spaced 7.5" apart. The * *

installed configuration of these.duct.runs is three cells containing the '

power cables on 'each side of the duct spaced approximately 1 '-0"..

: *:: apart.. *This cell arrangement is less restrictive with respect to* heat

• e eren~e/Co.mment * *

• * =flow arid therefore, the allowable cable ampacity would increase.' In

• .. *.. - additi'on, these cables* feed the 200HP Cooling* Tower Fans: which '_is :

... * **expected to have an actual load current less than the rated value of. :

.. ~*

• 251:'Amps... Based on en~fim~~-ring judgement, the expected increase-.

... *: -** ~** * *.* jn cable anipacity and. reduction in FlC will *account *for the* 1.6°/o*. _

• overload.condition in the 7.50 MCM ca_bl~s. No v~rificatiOn required...

• IV. '.ACCEPTANCE-CRITERIA The cable~ are dee~ed -~cceptable if the cal~ulat~d ampacity of the

• cables exceeds* the calculated maximum. full Joad current.. If the full. loacL ".

• current is greater than the ampacity, the rriaximum calculated conductor:

-. *: temperature inside-the duct.was determined. *If the insulation temperatur.e.

rating.of the. cable exceed.s ~h~ *calculated temperature, the cable is - "' < : - *.

df;?emed acceptable; *'.

-*.. ~

V. ~.** METHODOLO_(]V:c,. '*.-;:"..... /. -_:: :'.::.:: ~ -

~

. :{>"*Th~ du~t~~ctidns* shown* ori th~ *Palisades dr~*ings:liste.d In'.

_*:.:., Reference 1x.2wltrbe reviewed'to seleet themost heaviiy. *..

' '_loaded/worst case: duct section from a. cable temperature v~ew point.....

~

'* 2~). S&L. computer progr~m UCTEMP** (Underground Cable Temperature.

Program) will be used to model the worst case duct section selected*

in ~tep _.1. *'.

. *"..:~_.' :.

• --~

• -:z: **

\\

}...

• 'i

~*.....

.. PALISADES NUCLEAR PLANT EA-* ELEC-AMP-040

• .* ANALYSIS CONTINUATION SHEET *.

Sheet _5_Rev #*._*...._1 _

• .;.~-.-.-

v._

METHODOLOGY (continued).

• • 3:) UCTEMP wili *b~ used.to obtain the ampacify of the power cable *.

. which has the highesttemperature in step" 2..

4.) An ampacity table listed in IPCEA Pub. No. P-46-426 (Reference. *

• IX.6) will be identified which will cJosely represent the ampacify of the. *

. -cable obtained. in step 3...

5.).The ampacity table identified in step 4 wilf essentially represent the*..

• ampacify of the power cables installeq_ in. the_worst case se*ction. of.

• the _duct bank at Palisades Planf. A list of cables.* per duct will" be *...

.*.

• develo"ped foteach duct shown on the drawings listed in referenc~ * * :

• IX.2 and the ampacity from step 4 will be used to* determin~

**.. acceptability...

. '... ~..

t.-*

• . ~ '

• 60>: 1( in addition to the power _cable in a ceil, the cell also 'contains*

'.: --.additional power: cables, instrumentation a*nd/or* control cables; the...

ampacity of the power cable from,the IPCEA table will be~d.erated by *

'.. *.... *.the *a*ppropriate values. identified. In Attachment* H *to account fo_r ttie. ** *

• -. '.temperature drop in the instrumentation/control cable mass occ.upying.

' *. the -cell. These derating values are ad~quate per Attachment H~ *.

~

• ., :. _.-. 7J The duct b~nk cable* inf~rmation table for Palisades Plant'will be * :..

• .. - ' : *.> - reviewed* to identify the duct bank sections where the loading* current of the* circu_if is within *theirampaciiy and where the cables! circuit.

• . *-.. loading current exceeds. their ()mpacity as identified in step 4 or as.*

.. *._further derated (per stepJ))._*:_ *. **.

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.. -. *.. _. 8.) No f~rther ~nalysi~ of the. d~ct. bank_ secti~n.*is *.necessary where th'e:. *.

. * *. loading currenfof the Circuit is within their ampacity per the* ampacity *.

-. - >> * * *table identified in step 4*. This indicates that the conductor* continuous

_. temperature._is below its:-rating:

• ~.. *:.

..1.. _

.........**5*~-~ *..- :. ; '.'.

• -:<~..

. 9.) The duct bank sections where the loading current of the. circ.uit -.......

• exceed!; their-ampacity per the ampaCity table. identified in* step 4 w.Hr

. be further ~nalyzed by individually modelling them in UCTEM~. _This.

• .:~

'.. *.. *. step will determine whether or not. the cables' continuous~ ~empEfrature.

.:..... *... *. fating is exceeded in th~ir in_stalled configuration vvhile carrying the. :.*

• *: *. connected full load curr.ent..

~.*.

-- 10)' Th~* ampacity for eable sizes of AWG 1/C #10, #12 and #14 will be _: _

. 'calculated U$i,ng the _IPCEAtables and the 12R relationship between".*.

,,,. *-.

• cables sizes.... * *

'~.. *

• -~

' 'PALISADES NUCLEAR PLANT EA-ELEC-AMP-040.

• .ANALYSIS CONTINUATION SHEET

• *. Sheet _a_* Rev #

1 *

. VI.. *

• CALCULATION ANP RESULTS

{) A*review of the Palisades electrical drawing identified in Reference IX.2 indicates that duct Section J:.:.EJ 15 has th*e largest number of.

'*. ' '<cells, and would represent the worst_ case for. the analysis.. ',

2.) The cable information detail for Sedion E-E315 and th.eir circuit

• loading current is shown in Attachment A This section ~as 1 O cells* **

... carrying *power cables'.* These cells are represented in.UCTEMP....

• computer program by file PALDUCE4.DAT. The results indicate that*

the maximum continuo'us: conductor temperature is 78.8°C and is for '

• : 500MCM triplexed cable cc:frrying 261A full load current and installed.*

• in plastic conduit in cell A018. The UCTEMP output is inqluded in the calculation as Attachment B..

.,: **3.) Fiie PAlDUCE5.DATis. a modified:fiie of PALDUCE2,D}\\T where...

• cells A023 * & A024. cohta.iri triplexed SOOMCM.cables and all 5QO **..

..* **. *

• MCM cables are carr}ting 267 A current* The *maximum continuous. *

• *.:'

• conductor temperature is 89.9°C for 500MCM cable carrying 267 A full:

.. load current and installed in celf A018. This file essentially establishes

.* *. * *.* 267 A ampacity for the 500MCM triplexed cabie installed in* Section* E..'.

.*... ::E315: The lJCTEMP outputis includec:f in the calcul~tion*as * :..,.

.Attachment-C. :. ~-:

• ..

• 4.). A review *of th~ c~ble ampacity taples listed in IPCEA Pub: No. P-46~.*.

.

• 426 (pag*e 241 of Refere*nce IX.6) indicates that the'264A ampacity of

• *,

• the 500MCM triplexed cable for 9 Circuits, 8 KV; 90°C conductor *..

Refere ce/

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.. : {.

.. rf

• temperature, 2Q°C ambient earth, RHO of 90 ~nd 100% LF a*gre~.s *.*

... very c!osely with the calculated 267A ampacity for the 500MCM*: *...

-triplexed cable Installed in Se.ction E-E315. Jherefore, it is.conduded.

• .. -., *.*that the worst case duct bank configuration results in.the ampacity

. ~-.... - *..

. : :.values for the 9".'Circuit. duct *bank configuration.* This. 9-circuit duct *. ~

bank configuration. will be used for e'valuating.the duct bank:ampacity*.

. fc;>r different cable,-sizes an.d temperature ratings.. ' ~. *..

~...... :....

. : : 5:} Based o~ the. a~-b~({' a. d*~talled listing for ea~h duct showr1 on th~

.. * : * :,. '

• drawing_s identified in Referenee IX.2 was. developed. Included inthis'

• . list (See Attachment D) is a comparison between each cable's load.

• current with the cable ampacity listed in the IPCEA table identified in Step 4..

.. : -~

';)

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

.* ~

~nsumn'* _- *.

• \\:::t:I Power * : * *

. l'llWEIUlm....

. PALISADES NUCLEAR PLANT*

ANALYSIS CONTINUATION SHEET

• EA~ ELEC~AMP-040 AUIUllU#'S NOfillrfJI Sheet...i_ Rev #._*.......

1 _

. Reference/Comment Attachment D indicates* that some cables are ab~ve.100% of the.

. ICEA allqwable ampacity. For these cables, a revi.ew of the duct

... *. *.configuration and cable datawas* perfom.ied. If the arrangement of.

'.the cells in a duct more closely matched another IPCEA table, then *

• * *. *

• thaf table was used for* the cable ampacity. The results of this review

• *.

• is inCluded. ih Attachment. K.

• A review of Attachment K indicates that the 750MCM cable*s installed:

• in duct sectiqns N~E301 and V-E315 are still identified ~s potential

• overlqads. *.

.. 6.). Ducf Section N-E301 and V-E31_5 were then analyzed by modelling them in the. UCTEMP program. File PALDUCNt.DATi"epresents

_.. section N~E301, while'fiJe PALDUCV1.DAT represents.section v~:..

• E315.

• . file PALOUCN1.DAT wa~ deveioped to. detemiine the *maximum

,_. * *ampacitY that the 750 MCM cable could carry and still be* below the-.

insulation rating of 90°C. The result is 399*Amps. the_ UCTEMP. *::

• • . *.* ou.tput is included as Attachment J *: * *

• ***.File f>ALDUCV1.DATwa*s deve:loped to determ.ine the maxi~u~*.

• calculated temperature in the duct section V-E315 fodhe 750MCM : *..

• *..,:. cables; which is 111:1 °C when carryir19 t~e full loacfcurrent of 427 A:.

• • The rated continuous conductor temperature of the 750 MCM cables

• * * * *: '.*** installed in *duct section is 85. 0c.. * *The UCTEMP output' is included in *

• . *i

,... the calculation as Attachment"E.

~.***=. -

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... ~ :

• .... 7.) From the table on page 240 oflPCEA, the *ampacitY of~ #' 8 cable is.. * **....

.*,* '._

• 45 Amps, and has a resistance of O.Q818 Ohms/.100ft (Referenee."': * *

.*.. *:: 1x;10)... °The* ampacity for cable sizes of#10, ~12 and #14 are. **:

... * **calculated as. follows:

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

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' *.. *.,,. '*. *. ' '; * ' j~~~ /8AWG~:8AWG

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~

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- ' :... wh'er~:.

' '. I~~ ~ F~ll Lo.ad Current pe~ IPCEA... *_... * -.;

IAMP = Cable Ampacity for 90°C Conductor* *.

• .. < -*" * *... * ** * * :* RBAwG ~ Resistance Value per Reference IX~ 1 O : *. '.. *

~.

. Rx. * = Resistance Value of 90°C *Conductor*..... :... *

~

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• For 3 circuits per cell:

PALISADES NUCLEAR PLANT

-ANALYSIS CONTINUATION SHEET.

562*0.0818 = 44A 0.130

• For £rcircuits pe( Cell: **

EA-ELEC-AMP-040

• sti~et*~ Rev # __..1----"_

Reference/Comment

-t...

. "112 =

i'_

"1*.

For 9 Circuits per Cell: -

2 45 *0.081_8*.*,;,, 2aA

.. ".0.. 206... **:::.*:* '*..

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110 =.. 482*0.0010 = 38A 0.130

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... > *.. f 45 *0.0818. = 22A 0.328.

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'~ 'The cable arilpacity will be derated as required p~r Attachm.erit H to:

. account for multiple power cables and power cables routed. in a ceil with

~-

control cables~....,,

J

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q 1....--------.~---------.;....----------------------------~--------i............... ____ ~---

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- -~ -

PALI.SADES NUCLEAR.P*U~NT...

EA-ELEC-AMP-040.

ANALYSIS CONTINUATION.SHEEr.

. Sheet _JL:. Rev #*___._1_

~---------------------------~-----t--------.*. *'

_Reference/Comment p

VII.

CONCLUSIQNS *'.. *

)-.

• .. 1.) The calculatfon has indicated that the cable ampacity'forthe 750 MCM cables installed in duct section N-E301 is 399 Amps.. The

• * *-: *

• _.

• cables _are carrying 401 Amps. This small margin. over the allowable

• i~* insignificant and. the ca_bles are deemed acceptable.*..

.._ :.*. :: 2.) The calculation has indicate.d that the temperat~re of the 750MCM

• cables installed *in duct section V-E315 is 111. t°C when carrying the

• * *.

• fdll load current of 427 A. The rated continuou.. s conductor temperature

• of the' 750 MCM cables installed in duct section V-E315 is 85 °C...

• The analysis for these 750MCM cables (cable feeding Bus 1A via the

• • startup transformer 1-1) has been_performed (Reference IX.9)...

3.) The, calculation has verified that the Power Cables installed in other.

. <<*.. :: duct banks (included. in Attachment *o&K and represented. by ducts

other than Sections N-E-301 and V~E315 ") are suitable for their

circuit.. *. *

.*."..'..... *loading. conditiori(s) without exce~ding. their continuous temperature* -..

• * ** * *".*rating.; *.

l VIII.,

• RECOMMENDATION.*

~

IX. *...

REFERENCES:

..._:-. 1.) Palisades Calculations:

".._ ".. ~,:-- :.. * *

-/:

~..

... : ~*.. >_::.*:_*::... ~~30"1,-Revision 54,*_.;

E-307~ Revision 28. * *

• .:~:,: 1 E-315, Revision 14

• E-806,_ Revision 18 *

• :_ *. *,_.. " ::. E-807, Revis!ori 16

• *

• E-815, R~viskm ~5

. ~

• .** 1

. -~.,

~.

• I.

. *~,

• ..,....... )

• . ~

.. :. '.... ~.

E42, Sht 80; Revision* 1.

E42, Sht 81, Revision 2

• ... E42, Sht 82; Revision 4

• E42, *sht 84, Revision 3 E42~. Sht 85, Revision 1

~.

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L-------------...... ----------------~-------------------~----~-----------------

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PALISAo'ES NUCLEAR PLANT..

. EA~ ELEC~AMP-040..

ANALYSIS CONTINUATION SHEET Sheet 1 0 Rev # __._]_

• 1 ~-

. IX.*

' REEERENCES'.'(continued)

• . 3:) Cable lnformati'c:m_ Details fo.r* Duct Section E (AttachmentA)

• 4.) *Sargent & Lundy Underground c.able te~perature (UCTEMP)

Program No. PC 03.7.083 - 1.0 0 * :*

-"5.). Cable l_nformation Details~ for other Duct Sections (Attachme_ilt D) * *_ *

• . 6.) IPCEA Pub._ No.. P-46-426, "Power Cable Ampacities, Volume 1..:

• Copper Ccmductors;" Pages 238, 240 & ~41 (J\\ttachmenf F)..

• 7.) *Cable Data (Attachment G):

• , Sections 8~315~ C-315, H:-315, u~315, S04 ahd S35

• .*Section V-E315, 175 ~md sedionN~E301*, H75 *

.. '. *.**G~ble Replacement per: SC~88-019.. ****.

• ) :-....,_:

. 8.) Am.pacity d_era_ting to account.f9r the temperatur~_cfrop: in the

• ~

insfrumentation/control cable mass occupying the cell with the power

~ :

• cable and multiple.. power_ cables (Attachment H): * -

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• • ~~**.

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• P.ALISADES NUCLEAR PLANT

• EA-ELEC-AMP-046

. ANALYSIS CONTINUATION SHEET

• Sheet 1 l Rev*# __._1 _

X.'.

• ArtACHMENTs* *.

• A.. Cable lnform~tion and Full load Current For Duct Section E B. *UCTEMP Output for F.il_e PALPUCE2.DA r. *

. *c. _ UCTEMP Output for File PALDUCES.DAT. -

~

D:. cable Information and Fulllo'ad Current For other Duct Sections.*. *..

E UCTEMP:Output for.File.PALDUCV1.DAT.

• F;*. IPCEA Pub. No.. P-46-426 "Power Cable Ampacities, Volume 1.~

.. -.-. *... _ Copper Conductors," Pages 238,.240 & : 241. *. * ::*.. * **

• :.* G.

• Cable Code $04,

• S35, T75.and H75

• .: -_Data for -1 OOOMCM. Cable replaced per SC-aa:.019

• .*

• Load data for miscellaneous circuits * * *

~*" -

. : H.- **Analysis for determining* the. derating factor due* fo c~ntrol a~d.

...-: instrumen_tation ~ables rout~d *wit~ power cab!es in_ the same

• * -:.** *,* - raceway:;

I.*

Sargent& Lundy Standard 'ESA-1.02, Rev. 04-14-93

. J. *.* UCTEMP Outp.ut for File PALDUCN1 ~DAT:* *.

.. *. K... Updated Cable-lnform~tion D~ct. Sections With a Percent of ICEA... _

• ._ * <.

• Greater than 100% -..., *.

. \\ L

• l.istin*g_ of Powe_r Cables.a~-~ Load Cl.Jrrents for'_Cables in Ducts -.

. "\\,'._..

M~.. Supporting,-Data for C_~bles*and Ducts With Insulation Rating Le~s

• • --.. than _90°C. :*{.. * :*;;.**:_< ~;-

.:::~

• _._-_.,., ~: *':' *

. *-:-*.-,... :~-*- --....

~ -

.... _:. ~ :

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

~.. -.

).

-.~.. '

\\,'*

~...

~

-*. -.t ***..

I

.. * :~

. ~--. ~

~* *:

..... : ~~-

-~

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

I

. i

-~

L.------..0...-------------------~-----------'.'_.,;,

~ '-.

. :*. \\*...

.~.

ATTACHMENT H

..! ii*

-EA-ELEC-AMP-040 Page 1 of (4-6~

The purpose of this attachment is to *provide. the metho.dology for*:

determining the ampacity derating factor for conduits carrying both power and control cables in a ~in.gle conduit..:..

.~....

• '.... ~ <

~*.

-~,.....

. ~/

.J-..

~---

• 11.,**.-. d* ~:~/. )t~-~

/"-ff.ff>~ *, _,,,~ '....... ~- -

f(!~J*(w-_~rJ ~-* ~**

-~ ~-.

. ~.. *

... ~....

~*-

EA-ELEC-AMP-040 Attaciiment H *

'Page12::of u.*:;* *::i Purpose'--.*

.. Th~ ptirpo~e ~fthis section is: to de~enillnederating factors for conduits with m~tiple power * *

• .. ahd.control cables iti a single cond'1it. The conduit is assumed to have 1, 2, 3, or 4 po~er *

• cabl.es. in adclition, _the oonduit is a5sumed to contain control c.:ables that generate negligible ~-.

. h~t, but whicl.1 act as. a "blanket* around the power cables:. :

Methodology *

.. The derating calculation considers both 3 II and 5 II trade siZe ~ondwts containirig three phaSe.

circuits of single'conduaor, #2 AWG, 600 volt cables.. The ampacity for a_.single ciraiit with.

no ~ther ables iii the ~ncluit is 130 amperes aecording.to AIEE S-13~~1 I IPCEA P-46-426.. *

.. the conductor temperature of cc>~duit:S containing 1, 2, 3, and 4 circuits. iri ~* 3 ii "cond~t and

. :

• 1, 2, andJ circuits in a 5 11 conduit plw sufficient 2 conductot"#t4* AWG control eables to fill

• . 40% of the condu,it cross sectional area of a 3 II conduit are calculated using a Mathcad sheet.... *.

. The load current in.thepower cables is then adjusted by hand to achieve th~ rated conductor *. :*. *.

• .- *,

• temperanire of90°C. The ampacity m~tiplier -~ then the ampacity of the c.;ables iri the te8t_=: *

. *"conduit divided by the*nmninal ~pacity 9f 130 ampe~.

• 'i'he 0M~th~ sheet:used for-the calcu1att~~ 1s a*~odificatiori of the M~th~ sheet used for.*:.;-. '.. '.-

~ - ** the calculation of -the ~nductor tempera~ of cables in a conduit in. ~ree air. The principle *. *. _* *

• l

.. niodifieations is that the load c'1rrents 'of the poy,rer cables are multiplied by a factor F ~r A :. * * *. *..... '.._,.

. Mathcad global define stateiµent iS used.so that.Fcuirait ean be set near where the co~ducto*r.

.. temperature is displayed for conv~en~:

,, * -~ * :*1

. *.. ~. :.. *' ::,.. ? _*.Witlun: the Ma~~

sh~t,* ~~ C:abies in the" co~duit ~

divided in~o-d1ree: gro~ps~ The cabl~-:~-.*. ;.~'*: i

. _ -* '. :that are \\lriloaded are considered "co.ld*, and are assUn1ed to surround th~ other cables; The* *. *

• ... group.P,f cables that gerierates the maximw:n amount of h~t per.urut.~olum:~ are the __ "h~t:** '*. :.

.

• cabl~ and a:re l~caWd in the cenrer. of.all of the cables. Gables that are neither "hot* or "cola*. ~.- *.. ::- * '*

.... --:ire considered*"warm**cables. The "warm* cables are located between the."cold~ an:d*"hot*

.:.. cables. {Becaus~ of.the.nature of the test_ ca5es us~ in this--~atlation the data only_ contains :* *.

""hot9 and "co~~-cables.}°.......

-:... :=.:'

-.::.... :1:

w'~ *r"

• ~ *

The ~~:Wt trade.-sk is. entered into.the Mathcad sheet. *;.h~ inside and o~tside diam~t~~ of.....,... *. *: :~

.. the con'.duit can then be determined by a lookup table in the sheet The rondµctor ~ize,:.

. >. ' number of cables in the group, number of conductors iii' each cable, eable* diameter~ cal:>le.

)*

• . '* '.<<,* *area, and load cwTent for the cab~e is.read from a data* file.. The conductor ~istance of the *. <: *.., *, ***:

vario~*conductors ~determined fi:om the c~nductor fue usllig another look-up table. The..

... sheet then calculates the heat generated by each cable group~ Nen,.the sheet divides the heaf.. -~**.

generated by each cable group by the area occupied _by each.able group to give the heat*.....

intensity.for the cable group. In-order to facilitate later calculatio~,.an am1_y, Ho(~Flag is set..... -...,

• ~.....

~

~

'~... *.

~.

~,..

EA~ELEC-AMP-040 Attachment H.. *

<:* ;;:i :::; **:

Page a ot.. *::: *;;*.::. ::::

.. up.'Eacli member *of Hot_ Flag is set. to 0 if th~ cable group generates :O.o heat ('"cold*), i if the.

• *

• cable generates. heat but' does not have the greatest heat inten8ity of all the groups in the

• • conduit ('"warm*), and 2.if the cable group has.the hiibest heat intensity in the crinduit.

('"hot*). _.*.

Using Hot_ Flag to classify the cable groups; the sh~t calcuhites the~ ocC:upied the '"cold*,_

"warm*, and '"hot* cables. Sinee circUlar ~bles will have spaces between them when they are...

. bundled together, *the area ~ciilationS assume that the cables are ~quare to allowfor this..

. :aClditional area when there is more than one cable in the group. Based on the_:area* occupied by *

.. *... each layer,. the diain~ter of the layer Can then be calcUlated..

. The heat generated by the '"warm* and "hot9 layers is th~ calCulat~ The he~n intensity of.

the _two layel'S' is then calculated using the areas of the layers. Also; the total heat generated m

. ;;... *e cm1duit is determined. AU of the heat calculati~ns are based on eable. oonductot --* -* _.

. ~--* '... 'temp~rattire.s of 90°C, ~er.ited operating temperature of the.cable conductors...

:fhe.sUrface~tem~e~tw:e* ~f.the a;nduit can then-*be ~ailated Th~ heat dissipatedfro~'_the _.*

. :* outer.surface by oonv~ction and radiation is first written as a function of the Surface :. *..

. temperafure. Th~e equatioJ:lS* can be solved iterativdy fo find the surface temperariire at..

• *

• which the total heat dissipated in the co~duit equals the heat generated inside~ The -

tempera~drop ~ugh th~ eo~d~t itself can be cal~ted basecl on the oonduit b~g a.'..

• . _.** : hollow cylin~~:. '

~

,The temperature ck.Op*th~uglr the... ~.

eable layer has two oolllponents*. The temperafure * *

.. drop.¢aused by the flow of heat from the '"hot* cables inside is ~culated by treating the * :* * *. *..

....... ~**cabl~ ~ a_hollow eylinder.*An additional temperature drop is caus~ by the heat.

. ~-... generated widiin the '"warm* layer. This temperature drop is cal~ted ~ya formula similar** *..

• . ~ ~

• to.that given in Section 2-8 of Holman, except the ~tion iS fitted to a di#eren~ initial

'. *. cq.ndition to account for the hollo\\v core of thiS layet< :*.

.. The t~pmtiire ~P ~ugh the '"hot* layer~ cilculated--~irig Hohlloµi's Eqtiation 2-26..

, *. The con_duct~r temperature is then _the surface temperattire of µie 'conduit plus the sum of the *

• tempe~nue drops described aboye. : *

.. ~

. ~

• .* *.J.

':.*. *~

~ *

,J

. ~.

~

~.. '._.

.:c

. R~sults and Conclusions.*-

The restilt5 of the cases *~~ed are as follows:

• *Nuinberof >*:*- - Conduit*

Mailicid File Power Circuits Nominal Size Name

-~

• -plc40s.mcd 1

'* *.p 1.c40l.mcd _ *

• p2c40s.mcd EA-ELEC-AMP-040

,,, "Att~chm~nt, H.

.,.,.. __, Pa~le 4 of * ', *

• Ain:pacity -*

.Multiplier

'*. 0.915

. ' 0.955

'.0~688

\\..

. :. ~-

. ~;..

'*2

• p2c401.mcd. *..

.* 3. ;_...

• }>3C:4os.mcd.

~...

... :J 5*.,

p3c401.nicd

.. I~

. 4.

. p4c40s:mcd *

'.. *. 0.722

"~.

• o.584 0.615*-- *.

0.519'

~. - -,'

• ~.

_*. *B~ed rin.*tlies~*reSults,the.ampacltrmUlrlplie~ to.be*~~lli conduit ampaclfy 6llcul~tio~/

. <..

• 1:.. ~the f~llowing~ The mpacity mUltipliei: for 4 power cables will be applied to oondwts

• :. I _withmorethan4p6wer~bles_because:.:

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

. * -: J *~ ~.-* It is unlikely: that all.of the p~w~; eables in ::die conduit ~ould be lOaded to the fumt

~:c.;

• * --.. * *. 1- : *.* *

• of their ampacity due to load diversity aiid the selection of cables with ami>adty :.. -

',f...

higher than the rated load current based on available cable sizeS (granularity)~

. :.. I :~

2~*: *-:" The.resuiu.of the fi~e stop.tests Carried ~ut lli.March-1.9971ndicated ma~ ~Ce w_ays..

• _ I* : : * ~. were relatively cool, in~catiiig that die operating oonditions enco~tered in noi:mal *..

I:.. :*:*.* -station operation ate les5*sey~ than indicated by. the calculations.* :.'.:_. " *

• J. 3. *.* -.. Th~ incteas~ area ~~pi~ by.power* ca~les ~tr red~~ tlte. ~

avaibble £cir the

• I. '

blanket of oontrol cables *. *,. ' '

• - N~her

• _ *AniJ;acity * : *

--~'..

• -of Power M~tiplie~"

'.° ' * ;. :

~*

• • cll'CW*" *_ts*:;*

• ,. ~-

.I *

. -.-.*"':.".. 1--------+-----41._. ".i-,.

~.

.r.._.*..

.. 91%*

. 2

.. 69%*

• .3

• • 58%.

'.*~** '.:.'

. s2%'-- -*

~. --.. -

. ~.

~.

~

... ~

~--..

w

. : ".... ~. '.:

.. :..... ~-

"~

~~-

-~ :

,,

*; ~.

,.,r

.EA~ELEC-AMP-040 Attachment H

• u age* 5:iof :::;-. *

.

• References 2.-

3.. '

...H~lman,J~:P. 198LHeat Tr~~fer. Tokyo: McGraw-HiUKogakusha, Ltd.

_;~~.:. :

. ~eher, J. H. and McGrath, M. H. 1957. The Calculation of the Temperature*

Rlse and Load Capabiliti.of Cable System$. AiEE Transactions on Power.:

App~ratus and Systems. 76 (October): 752~772.

• Insulated Power Cable EngineerS Association and InsUlatec:lConductor8.

Committe~ of the Po~er Division:~ AIEE 196i~ AiEE Publicatio~ S-135-1 I IPCEA Publication P-46-426,Power CabieAmpadties, Volume J~C~

Co~uctors. 1'.'l_~ York: American Institute of Electrical Engin.eers. * *

~

~*-

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

~ -

. :*- '. ~.

• .r..

~..

'.j,* -

. ::-... '. ~* '.

.. ~ /'

',\\ -*,

• I

< *-\\

. -.. ~....

• ~*..

../ **

• ~; *

.. ~_.

~...

-- *.l

',* ~:

.~

..:. ~

.. ~,:-

. '. ~

. ~-: :.

1'..,.*

EA-ELEC:-AMP-040 Attachment H.

.. u **::; :::,....

• Page; 24 'bf...*,.:.......

Te5t Case: Two Power Feede~ in Conduit,.40% Coid Fili.-:. p2c40s.mcd Conduit Data *

• Coiiduit_TradC_Size ~= Hn Enter Cable Data

. ~blc-~ * (1~ 2: ~ :.:1 ::: l~O ~)..

~...

.* Da~ s~ ::i rows( Cable* data) oat&._ size.= 2. :. Number of cable groups in the-data

. '

-°

~-

I

• 1.'"

.. Data_i.ndex := 0. L. (bata.::_size.:. l)".... * *

• . Index_array~-~,:: ~tajndcX *...

... ~

Thermal ResiStivities~. _.: <

• 1

• -'~\\nass* = 400:* K-~~--w:itt: 1 Cabie M~u° (StOip.e)*..

p~

.. = SOO*K*cm*watf Insulation H

o

.P :~

=*SOO~K*~*~tt.*

1 *Jacket

• p cond.= 2.08_-K*cm*w:itt" 1 Conduit th~rrnal conducrivity

• J:

(S&L Standard ESA-105).

. AiltbientTe_mperature

~: :. * *

• 1..* *

• • ~

~

• . - *.. MlsceUaneoU& Constilms:*

.*~ :...... -*

• ~ :

'!J'!'* **

-.: :. :_. Staia~.,~cinr1 coriStan1c>,. *

........, i..... *2 a:: ~.669* 10~. *watt*ai. :IC :,_:

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

~ '.. -

HoJ~an *. page 301-.* -. :.,. *.*. **

• 8 ~-:= o._33. gc>nduit emissivity

. -*~'.

. Conversion factor between de9rees ~elsius *and KeMn *

.. * ~.*. "'.

. CtoK := 273.lS*K.

T anib_'=_TambC ~ ~~:.-:. T am1J =3,13~15 *K

~ -

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

. \\..*

~...

~-~ ~=..

~,_.

.. *,. -~

.. ".t~

-~., -. ; **"

.'*'* *.'r :;,.

,..(...

d

-~.:* '.:

'{:"?

-~

~~... ; :,

.... ~....

')

EA-ELEC-AMP-040*

Attachment H Page::~5.L.Of; Conduit Data *

".~* *.* <_ * * ** :

lnnerand_Outer Oiameters, Thermal ConduCtMtY. and Emissivity CondUit_Siz.Cs :=

0.375 0.493 0.675 0.5.

0.622 0.840

0. 75 0.824 1.050 1.00 1.049 1.315 1.2S.. 1.380 1.660 1.SO 1.610. 1.900

Reference:

ANSI cso.1-1966 *

• Note: The inside diameters for conduits built to ANSI

• *

• CSQ.1-1983 a_nd later are someWhat different. The 1966 version of the standard was selected based on the

• commericaLoperating date of Palisades Station 2.00 2.067 2.375 * *in..

2.50. 2.469 2,875 3.00 3,068.3.500 3.SO 3.548 *. 4.000 4.00 4.026 4.500 s:oo. S.041 S.S63 6.00 ~* 6.06S* 6.62S dcaDdi =*~(c~nciuit_5izes <0> '.Conduit_sizes <t >,conduit~~~dejize)"_d.condi =3.06S*~

.. dcondo.'= t~(c~t_Sizes.:0; :Condiijt_Sizes<Z>;c~~duii_T~:ideja:.c,) d:cimdo =3'.5 ~in

. * \\ *...

-.~:

• • --~ *-. *".:.*.

. '. ~... :.. -

• . - *:1* ~ *.

~.

i..

. *-. -.~

• 'w.. *.

\\

. '.~.

... '.* ~-

... ~.

.. ~

~-.

• ~* '*"

. r' :*"". *:.

~.

• .'"'t

.. '.... ~

.)_;

~ :..

. -. ~

EA-ELEC-AMP-040 Attachment H

.:i P.ag~,~~6 6.f:_,* *-"*..,.,.;.,-*...

)*--

Lookup Table for. Conduetor Resistances at 90°C (See Sargent.& Lundy* standard ESA-102)..

• 2

. 4*

6

• . 8*

9*

1~

12.

14.

. 16 110.

• Table_size::~= 210 250 300*

'* ~~.

' - ~ -

.-~.*

310.

350*

400

• 410.

soo 600.

1SO:

1922 1925

.. :~,

-~

..... =

0.0161 0.0203 0.0324 0.0513

... 0.0818

. 0.103.

0.130.

0.206 0.328' 0.523 0.0128

. 0.00542 0.00453 0.00804 0.00389 0.00341 0.00639 "

0.00175 0.00231 0.00187.

0.108

'*... 0:211.

l' *.

. i:*

.. ~

i* ::,::

~ " :.

'. *- *~.. :. *.

<O> '

.

~-.. J

... <2>:.

. Cable_size := Cable_data.

N~~cables := Cable_data

... Nlirnber_conductors := Cable_data

~.

~ * *.:c*

..... <5>

• C&bie _ clia :~ Cabie _&la~>.~ 1* load. :=. Cable_ data

• F cunent.~ amp

\\..

.-~~_Fla8~~imlaX:~.i1Q~i~o~-~~*wa~*ft:

1

• _in; 2.1.o) *.

' *.*. ~..

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

., I

_: -*.~:

~

. '*1

,.~

' *:-i

**=*-:****.

,\\_'";

• ..:t

_~_*:~~:

.:. ::.~. -.

.~... ~.~

'c, **

~, :**. ~

-.tf

• • • ~ *: >

.;:~*.

I. * (.

. (.

• ... *.. Q..

• ). \\)

densitv

• Temi)_ := reverse\\c5ort augnient Indexjuray~ *.

• , *, I ft.1.. 2 I.

watt*

• 1I1

. Hot:...~:= Temp0,0 *

• *. Diameters of Layers

• Ho(index*.,;o

..

• Q.1 __. * *. *.-Hottest;;.*O.*watt*ft' 1 *in-~*

.. w:;uoittyHot_index Hot f1ag now has values of:.

0 for unloaded eables 1 for "Wann* cables......

.. 2 for the.hottest cable in the. conduit Diameter of Hottest Cable

• N~ber-~blesHot ~

=°6 *

• EA-ELEC-AMP~040

• ;* (\\ttachm~nt H. *... ;*

• • • pag$ 21 *or** * ** ' *'**,:*,

. r *.

• .* ~hot<N~~;bl~~ot-~JCa~le_cfuiHot_Uxla) 2

• • A h~t.= l.5.*in2

• 2*

A hotf := *.;. ~~~~bl~Hot_Uxla* (Cable _dUtHot_UidCX)

.. 2

~

r. -

. d~

Cable~diaHot_.:.

• . a ~ou~t ~o.s ~in

. * :~...

d ~

• • ~N~~oab;..ff<A_,_> I,2*JA :-.d L...).

d hot= 1382 'i~ **...

Are~und diameter of 'Wa~" 9abl~ *layer'**

(Da~: size-. I)

.. *~

- ~~*A~*=:*:::!:::.:** ~~ot.,.Fia8j_*1._(Cabl~~dia;)

2*Nwnbe~_cabl~j*O}n 2

_]

A~_~O*in~ * ~--~

• j*O*....

: ~~-'~~~-

11

~em~~~1.(~~_d:.,(*Number-~J:~m'

~-.

~

J J '.*,*d2**2>~.e~l'-F d-..=1382-iri

• . -~ _::::::. *Ar~a ~ncf~arriete.: ~f *~~td* cable layer

-~-. '_

~

.. (

<(Data.sizc.:.1)*:.*

~.

~-

*_..., ~ AIX>ld:= * * * ~:. =-*~Hot~Flag1*o:(Cable~diajfNuriibcL~abl7'j;o:iJ1 2 ].A~id_.=3.SJ3~-~~

.. ~ '

. ~:*..

,... ~.-,,~

. x.

-. "~'

'.T... *,

...~

!/ *.:

~

• *.. :.. i,.l EA-ELEC-AM P-040 Attachment H

.::. 1:i=>a99* 2a 'at;;' ** *,

(

.d condi)2..

. Acond := 1t*.-2-.

(Data slz.c - t) ~

• c bl d. *)2

--

• 1

~

. ; a e 1a.

2

. Ap0wei>=

~

. I i~>O*~,N~_ca.blesj"1t*i 2-

• J

,O*in*.

Apc>wer=L178*in2

. j=O. _-

A~1--Acoldf_+ AWarm£

.* _ _ *: :A hate.. *. -_ Ac0ldC.

• A.~* :.

'** -Fill u :=

.

• Fill_power u :=........,..,-- Fill cold u :=

Fill warm u *= -. --

A coild

- Acond _ * -

. J\\ccmd - -

~~*

. ~*-....

Heat generated by hot cables_.

-'.. ~hot:~ *Q cable.tat_~.:.

l :*

Q hot =9.743,*watt*tf ~.

-:i Heat generated by "Wann* cables (Data size - I) * '::.

__ _.~*~_Q*w~:=

. _. 2:'. *

-~.if(Hot_~gj*l,Qcabl~j'O*watt:tr 1

.)

Qw~-~O*~~:~-l

• j=~...

...;....;...., :~:::~/." ~~'"0*~it*ft\\in 2

Q ~*:~ Q_waiiti:.. ; 011~ *F,.Q total ~9.743-~watt:_ff*. *

. ~. -: '*

~.....

• i*

~ *'...

--~

• -:_.. *-. _* ~. *~-

~*-..

..... -~*

~.. -

. /::

. ~-

-~

~. "

-... -,/.

EA-ELEC-AMP-040 tH

......,.. Attachme,n",

i.. I *::_,.* =::*, __,

..,. 'z9*!ot-'. *.. *

. Page. ___ _

.. :... ~-- :.

_ *calculate* the Surface Temperature of th~ Wrapped Assembly

• .:*~***

'. ~;...

.*.::. : ; ; ~:*

.~*

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

. dissipated by the wrapped assembly will be written* as functions of the surface

• temperature. The area of the Wrapped condui_t per unit length is equal to

., :. 2C times the diameter of the wrapped assembly.

Heat O!Ssipated by Radiation

• Qr(11 := x*d cOndo.'e ~*~*{r' -T amb 4

)

. Heat Oi~ated by ConveCtion l

• _... 5*..

l

4..

. Q cn*:=I..32*~tt*K* 4.:U* 2*m4-(T-T_amb) **it*d** *. *.l'T:.T. b.)

. c d

... -.conuo

. am

~ '.**'

'1 l.**

'. lritfal guess for' iterative*. solution_ of the surface temperatUre of the wrapped conduit *....

"T' *

~-

... ~

Heat dis8ipated by radia.tiori and COnVection' must _equal heat Qenerated by cables. * *

. ~-.'_;. :,:_*.**. *'. ;...:

T

. := Find(T... )-'.- :

-' -- ~---...

guess *>:

, -*~

r

. * *:rCcmdo.=*~2s.ss~-*K

~ -

t. __

,.r*

• ~

~. -

- ~.'.

.. ~*

. ~.-...

-TComio-CtoK ~ss.103 *K °C *Surface temperature otthe-:.

conduit:.**

• ~

'.'~ '

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

.~... -

1::.

..1

• • ...i

....: ~

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EA-ELEC-AMP-040 -.

Attachment H

• U **

.,-., Pag1f30 d{.. u '? :~:: ::*

___ ;_-~ -.

. -*Temperature Drop thrOugh the Conduit 1*

, (dconao)

• aT cond := -*p cond* ln

• Q total 2*K.

dcondi See Equation 2"8 of Holman

• at ccmd =0.014 *K

~.

T~:=T~+-aTc:Ond.*

. : - * *;. TCaadi a328.86'.7~K

. T*mperature:ofthe inside wall of the conduit

.*. TCaacJi ~ CtoK~55~717~~ 0e.....

Temperature Drop. thrOugh Uie *,;Jr Gap l~de the Conduit_

cOnstants for Neher-McGrath Formuta for Te~perature Dr~p in the Conduit AJr Gap * *

. A,- 32Kft

-i. *.

. * * *watt

• ID*

~.........

B',:= 0:19*.in

~- :..

A'

.I.

. at ~p

_= B' +- d.... *Q total *. ~ee Equation 41A of Neher-McGrath

.. cold

.*J -

.:-:~*-.: ;~~

• ~ -.. ' :.;:

'r-~

aT ~P-~a I: {i~

.. 2'~.K- '.' ::-:'.-;,*.\\' :: -:._-

~

").

-~ --~ -

. ?~_:_.*T ~

• _~:,T ~-+-

0

'.6~,~~--~:'*. Temp~rature at the outsige surface ot~e cable mas&:::.

~

. - - ~*

• .--* :*: *.. ::--_*_:T~.;;.340:019*K/:'.:.','..*-: *.<

• *. _ *. T mi.as.-.CtoK = 66:869 ~K. * (°C) :-

.. '~.. -

• TemperatiJfe drop tt1J"ough the "cold" cables*

at*~;_= OtotarP~*.~(dcoUi).. _aT ~

= 12.90:Z*K

-. 2*K dwann.

T cold..:. CtoK =79.776*'1:.C:

~--.

. -~-.

r,;**

-*-... (

..\\

... ~

,~*

-~..

~...

'femperature drop through the "warm" cables*

k..

1 mass:.=-

Pmass EA-ELEC-AMP-:040

• Attachm$nt;H;* '>

.Page 31 of __

-Pm&ss_ * (*dwarm_ ***i** _.~.-._W";"",'-t~oi;'J*.*~-(dhm)*l. (d~. )

AT wann*= Qhot*~ln -.-.-

-+:

• -- **In --

. 2:Jt.

dhot

. 4 ktrulSS 2 kmass 2

. dhot

• ATwami=O~K

• *. T warm~.= T Cold -t: at warm

. T warm - CtoK ;,;._79.776 *K°C.

_.J Temp~e Rise ttvough the h~ cableti Q dasity.... _ ***.A-d ~-r AT110t:.=---------

. 4*kma1s..

• Hoiman, Equation t-26

.. --~

. AT hot= IOJ7S *K

.i

F~*0.688.:

._......)

~.-. ~

~..

I.

• 6

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

,J....

. t.,,...*

~*.::..... :

-~ -_

.'. ~

. *~...,' *,

~1

~-"

_*.** t

.. **.!i

.. :~

'.. ~-~

.:* :-.i

~..

1'

. a~(Index~~*Sablc_data).= ( O 1

• ~ :

1 ~ *

.Q tObu =9.743 ~w,att*ft" t Q cab.I.*

.. * =9 743 **.. tt-1*..

.. °Hat_inda:.

watt*

-...1*

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

~.

~.

.... ~--.:

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2

.14

'**i 6

o.s 0 *130 I\\

,j 28 2 0.37 0 0

. 0 /.

Fil(U: =O.S67

• Fill.J>Ower-'u =o'.l59 Fill:_:warin _ u = o

• Fill~cold_u =0.407 EA-ELEC-AMP-040 Attachment* t'.f i:\\ ;* :::,

Page 32 of* ____.;.

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