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

- 1 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" 25 Pages I

(

I 9707100086 970710 :

PDR p

ADOCK 0500025fi

• PDR/J 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• Preliminary * *_ Pending .Final Superseded

'$- o- 0 0 Initiated

• lnit *- Review Method - Technically Revr Re Appd * - Reviewed Appd CF>Co v Descrlptfon By . t--A-lt__,...--..,..0-e-~-il-.:--Q-ua-l-+----....---4 By Appd

1. * -*By Date Cale Review _ Test By. Date - . '*'

NehlS/ I. ~

0 Original Issue Ashrafi x Manasra - * ~o.' . ~~ . ~

Qt--* ~ - .-?~' ..

_* 1 See Description Belo~  :.*x:.

.*-...j 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. .

..-i,_

~--- .. *.i Revision 1 ' . __ _

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

. ,r.

', *.. . ~ .

Added Secti9n: > * *

..... * *I :, .I ~

~*. . ~".

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

r ..

' '-r

-~..

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

PALISADES NUCLEAR PLANT. *

• EA-* ELEC-AMP-Q40

• .ANALYSIS CONTINUATION SHEET

. Sheet _2_ Rev # _-_._1_

-Reference/Comment 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*

i . *.. ~

., . .. 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):: * , * * * * *. ** _ * * ,. *. -..

r **  : * * .. ; , * * *** )  : * ~* ' *

• _. : * ..,* * ' ,' **' * * "

• 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). *~ ..

• * * . * .. .* . . ** .. .**

• y'

. .  :. 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'. .;(

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

~:~:* *' * . ;* ..

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

.' ._. f ..., "(*:* ..:: . :1 ;:- ...  :* ' -'*

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

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

. *<.£ Ill. ,J**: .* .. **... . .:. . .

'~

' . .. . ~ -.. :~

..- *

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

~:

~!

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

'to:..'

. 1.) .

• Not used:*.~:'.** . - ' .

• • .~

... .... . . ~

~-*.'

. * * ' I  :.

. *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~. . .. * ..~-'- - * * ." J. -*~-: ' * ". * * * *

• - *: ~

' ,... ~ .. *

@) cansumn.* .

• PGwer

~**

• . PALISADES NUCLEAR PLANT" .

ANALYSIS CONTINUATION SHEET EA~ ELEC-AMP-040.

Sheet _L Rey.#._...._1_

e eren~e/Co.mment **

Ill. 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 *

• --' -* - ** =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 .. *-:z: * **

• 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. *' . _ , . .. .. * * * . _ * * * *._: .

• '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 * : ..

..1 .._

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

. . . * " - ._;: _:. ' 1

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

. -. *.. _.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: "_ ** * . . . *-: * . *. * - . '*' ... *

.. ... . . . .**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 12 R relationship between".*. *-~ ' '

. ... *- .

• cables sizes. . . .*

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

• .ANALYSIS CONTINUATION SHEET *. . . *: . . .

• * . Sheet _a_* Rev # 1*

• .. , Refere ce/

.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 1O 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 267A current* The *maximum continuous . * .- .. - .* .*. -* ,.

• *.:'

• conductor temperature is 89.9°C for 500MCM cable carrying 267A full: . ,*. .. ~**"

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

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

• .f~

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

.Attachment-C. : . ~-: * :. .r.

• ..

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

' ' .. : {.

. . rf

.

• 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 * ..

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

~ * *

• * ..... * . . ... 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*

• EA~ ELEC~AMP-040 AUIUllU#'S NOfillrfJI ANALYSIS CONTINUATION SHEET 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

~

...r: -

,_ . * *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 427A:.

• :,.* ,

• The rated continuous conductor temperature of the 750 MCM cables

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

• . *i ,... the calculation as Attachment"E. *_ * * * * ~.***=. - :.~* *. * * * * - -':. * *. ;- *

• -; .. .. ' ... ' . *' *. * .1;

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

• .* ,* '._

• 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. **: .. *.1

.. . * **calculated as. follows: * * * ** .* * * *..

• . - -~- . . ' .. * - ;.

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

• • ~*,.,: -* :_~:~ . .' -<* . .~.-!/~- *.*.. . .* .* '*: . ,_ .

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

' ~...

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

~* .* *- ~

... :.  ;- . . . * *-*: .. * .. ~'

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

.* ... ~

~- . ,* .

-- f

• *<-- ~ ~ * * * ~ ,. ' *.:....' * *

- ' : ... wh'er~: . ., . . .. > .

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

.. *.'- . .> ** =

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

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

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

~

• *' ~--'I

PALISADES NUCLEAR PLANT . EA- ELEC-AMP-040

-ANALYSIS CONTINUATION SHEET. " "

• sti~et*~ Rev # __..1----"_

Reference/Comment

• For 3 circuits per cell:

2 56 *0.0818 = 44A 0.130

• For £rcircuits pe( Cell: **

-t... . > "

. ~* ~:

. "112 = 110 = .. 482*0.0010 = 38A '**

0.130 "-., .

.*. . . . i'_ "1*.

" . \ ...* ...  :~_

. :.l For 9 Circuits per Cell: -

(

.. , :' -,. .i*

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

• L* * * * . ~* * . ..

. .-.. ~--

'.1.-' .. -< - ..

. . .. 2. . . -* . ... > *.. f ... -.

45 *0.0818. = 22A * .* .-

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

' 0.328. *-* ... *

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

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

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

2 aA

.'l:*

• ' **-. .. ~*.  :.. -,*

_. . -: .. :..: ~

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

.>:,**  :~* ~*--..**. . ' *~

..- .,. \ .

...  :.. .~ .

-.*. - ,::: .r ~ .. : .

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

. .... ~.

will

'~ 'The cable arilpacity 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 *** ~-* \. .. ...... ' '

. ~' *. . . ~-'

.. ** l' q ... . ':.;:

1....--------.~---------.;....----------------------------~--------i

...............____~---

..:. ~

. ....... ".* {

PALI.SADES NUCLEAR .P*U~NT ... EA- ELEC-AMP-040.

ANALYSIS CONTINUATION.SHEEr.

. Sheet _JL:. Rev #*___._1_

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

... p - .. , **

_Reference/Comment 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 427A. 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.

-. .. 'I"*:

. <<* . . :: 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 . .

- . ~ -

.r ... -

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

• ... ' ' ~ .

IX. *...

REFERENCES:

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

.. ._:-. 1.) Palisades Calculations: ". ._ ". ~ ,:-- :.. * *

.:"* * *; I.

.... ' .... ... . *~, *. .,.... ... )

• . ~ .. ',"

-/:

.' ~ . . . . " .

~

...: ~*.. >_::.*:_*:: . . ~~30"1,-Revision 54,*_.; E42, Sht 80; Revision* 1. ** *:*_.*

• _. * :*: * * " E-307~ Revision 28 .* * .-~. ,

E42, Sht 81, Revision 2 :. . ......... _

. *:.:~: ,: 1 >* *. E-315, Revision 14 * ... E42, Sht 82; Revision 4 *

. .

• E-806,_ Revision 18

• E42, *sht 84, Revision 3 .....

• :_ *. *,_.. " :: . E-807, Revis!ori 16 E42~. Sht 85, Revision 1 ,- ... ~

. . . . * *

• E-815, R~viskm ~5 .. , . . . ..*.- '.

. . .... . ~

~ . :.

.. -~ -. ' '

" -~

~*:~*

• .,; *.** 1

-r*:

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

• ~* .**

PALISAo'ES NUCLEAR PLANT .. . EA~ ELEC~AMP-040 . .

ANALYSIS CONTINUATION SHEET Sheet 10 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 .. I .

• .*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): * -

-~- .. .-

.... * .. .~.. : ;~

~- ....

. *.*". . ~ *....*"_f i':J

. ..... ' . .... :.**. :\

~

.. ~" . .

.. \' .

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

. - ~ :* .*.**.* . .,

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. . **: }  : ..... .. .. * '.'

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. . .  ; :. *~ . "'-J

• • ~~**.

• EA-

\':!::I l'llWUlllM- - ..

• P.ALISADES NUCLEAR PLANT

. ANALYSIS CONTINUATION SHEET *.

ELEC-AMP-046

-. *,_ .. Sheet 1l Rev*# __._1_

X.' .

• ArtACHMENTs* * . '

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

. . *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. *. * ::* .. * ** * * -* . -.t ***..

• : .* 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.

I ' ' ...: , * * *

. .- : 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. :*{.. * :*;;.**:_< ~;- .:::~ .. . . . . * *

• _._-_. ,. , ~: *':' *

• -:-*.-,... :~-*- - - .... ~ -

~

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

~- . -~ .:*.

). .  ; .

-.~ .. ' . .*'

. i I

... ' ..  : -~ ,:. . . ......

\,'*

~... *.*.

.  ;* .* ... . *. - ~

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

..! ii*

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

ATTACHMENT H 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..:.. .. .

. ~ .. *

~--- *.*,-;:

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

. , *11 .,** .- . d* ~:~/. )t~-~

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

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.~

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. :*. \*...

• ' .... ~ <

~* . *,  :;

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. ~/

.~.

.J- ..

EA-ELEC-AMP-040 Attaciiment H *

'Page 12::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 and 5 trade siZe ~ondwts containirig three phaSe .

II II 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. .

• of

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

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

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

II

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

0

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

• ** 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 di#eren~ initial *. *

• a

• , .... '. *. 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

~

EA-ELEC-AMP-040

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

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

. R~sults and Conclusions .*-

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

• *Nuinberof >*:*- - Conduit* Mailicid File Ain:pacity -* .... -

-~

Power Circuits Nominal Size Name .Multiplier \ .. . :. ~-

• -plc40s.mcd '* . 0.915 1 '* *.p 1.c40l.mcd _* . ' 0.955

• p2c40s.mcd '.0~688

'*2

• p2c401.mcd. *.. ' . *. 0.722 . "~.

.* 3. ;_ . . * }>3C:4os.mcd . *o.584

~.. .

... :J 5*. , p3c401.nicd 0.615*-- *.

. ~;..

.. I~  : . 4. . p4c40s:mcd

• 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 * :*

--~' ..

.. ~*

w

". . .. ~. .: '

• -ofPower M~tiplie~" '.° ' * ;. :

• • cll'CW*"*_ts*:;* ....... ,....__ .* ,* - *. . .  :..... ~-

.-.-.*"':." .. 1 - - - - - - - - + - - - - - 4 1 ._. ".i-,.

• ,. ~- ' - .I *

...."~

.r. ._.* .

.. 91%*

.* ~. '

.**** .. 69%*

. 2 *.  :

• .3 **58% .

'.*~** '.:.' . s2%'-- -* ~ . -- .. - *.

' ... ... ~~-

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

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

. ~-- ..

.  : ~

.EA~ELEC-AMP-040 Attachment H

• u age* 5:iof :::;-. *

.

• References

• 2.-

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

_;~~.:.  :

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

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

Ltd.

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

• 3.. ' 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 ..

-- *.l

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

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-~

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• ~*

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 * ... . ; . . *, . -~

. .. ~

.. ".t~

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..* * **~

-~. , -.  ; **"

• • • • • .. *.* . . ' * ' * *.'r :;,.

• . - *.. MlsceUaneoU& Constilms:* .*~

..... . -* ,..( ...

. *~  : ,,... . ' ---

d

• . ..  :; -~ .:* '.:

• ** *',:*. '!J'!'* **

.. :~ ' .. - .. ; ... * . .. . .,.,;

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

. . .. . . '{:"?-,

. ....... , i . . ... *2 "

.. HoJ~an *. page 301- .* -. :.,. *.*. *

-~

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

• ,:. ~~ ...; :,

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

. ... ~....

• 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 . .. .~-~ ~= .. ...

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

. . -. ~ . . - ..

• • ,. . . ~ - *,**.

.. . \..*  !'"

... ~ .

EA-ELEC-AMP-040*

Attachment H Page::~5.L.Of; ,,:: <.

Conduit Data

• lnnerand_Outer Oiameters, Thermal ConduCtMtY. and Emissivity ,- '

0.375 0.493 0.675 0.5. 0.622 0.840

0. 75 0.824 1.050  :...

Reference:

ANSI cso.1-1966

• 1.00 1.049 1.315

• Note: The inside diameters for conduits built to ANSI 1.2S .. 1.380 1.660 *** CSQ.1-1983 a_nd later are someWhat different. The 1966

• - ')

1.SO 1.610. 1.900 version of the standard was selected based on the

• commericaLoperating date of Palisades Station CondUit_Siz.Cs := 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* ~ *. ~. ..

• 'w .

. *-. - .~ ' ..

.. ~ ~- .

• ~* '*" . r'  :*"" . *:.

• ".~* *.* <_ * * **:

. ...'.* ~-

\ ...

i ..

-. ..- . ~ .

• .'"'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) .. ..

0.0161

• 2 0.0203

. 4* 0.0324 6 0.0513

• . 8* ... 0.0818 9* . 0.103.

. .. . *. ~ : ..

1~ 0.130. . , I

12. 0.206

14. 0.328'

_: -*.~:

. 16 0.523 _, * ..* '.

110. 0.0128

• Table_size::~= 210

. i:*

250 . 0.00542

• '.. .*.--. . ~

. . .. 300* 0.00453 310. 0.00804 . '*1

.. ~

350* 0.00389 400 0.00341

• 410. 0.00639 "  ::,* ...

soo ..  :~, -~

0.00175

.*. ,.~

0.00231 600.  ::..**-

'* ~~.

0.00187.

.. *. *-* .. '* i* ::,:: *.

-~ -

1SO: **...

' *:-i

. -. ~

. *- .-~ .*

1922 0.108

. ....... ._ ~ ": .

1925 '* . . . 0:211.

..... = l' *.

. *.* - ' . *- *~ .. : .*. . ..

., . . ,.  : . . *- . <O> ' '. *: . ~- . . J , * * :' ... <2>: .

-. .:._, . Cable_size  := Cable_data. N~~cables := Cable_data ... Nlirnber_conductors  := Cable_data

. " ....*.. . .. . . <5> . .. . ... * ..

• C&bie_clia :~ Cabie_&la~>.~ 1* load. :=. Cable_data *F cunent.~amp ..

**=*-:****.

,\_'";

• ..:t

.~ .

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

'c, **

.~ ...~.~

. ~,

• • .*.*. ~.

. . ~ . ' \ ..

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

• _in; .1.o) *.

1 2

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

~ ** .:c*

• • • ~

- .tf

' *.*. ~ ..

.;:~*

EA-ELEC-AMP~040

... . .. * ;* (\ttachm~nt H . * .. . ;*

• • • pag$ 21 *or** * * ' *'** ,:*,

. .*. . . ... . I. *( . . .( . *.. *. .*. . Q densitv . . *). . \)

• Temi)_ :=

reverse\c5ort augnient Indexjuray~ * . * , *,I I. ,_* .*

watt* ft.1.

• 1I1

.. 2

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

• 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

• * . Diameters of Layers

• Diameter of Hottest Cable * *.. *,*.

N~ber-~blesHot ~ =°6 * * ,...~.- ,,~

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

• Ah~t .= l.5.*in

. r *.

'. 2

. : *: *, . ...... . .... : . . . .. . . *. . .. . *2*

A hotf := *.;. ~~~~bl~Hot_Uxla* (Cable_dUtHot_UidCX) . ~:*.. ' -

~ .. .. 2 . r. -

. d~ :: Cable~diaHot_.:.

• .a ~ou~t ~o.s ~in .**.. *:*.

~ ~N~~oab;..ff<A_,_>  :-.dL...) . hot= 'i~

.*  :~ ... . x.

d ** I ,2*JA d 1382 ** ...

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

(Da~: size-. I) . * * . .* *. . * ' *. . . *~ ... *. . * : * ..*'.';

.,**. :- ~~*A~*=:*:::!:::.:** ~~ot.,.Fia8j_*1._(Cabl~~dia;) *Nwnbe~_cabl~j*O}n _] 2 2 A~_~O*in~ * ~--~

... ***::** .. - *j*O* .... **.* *.* . .. ..... *...... ,

~~-'~~~- ~em~~~1.(~~_d:.,(*Number-~J:~m' 11 . ~- .

~ '.*,*d2**2>~.e~l'-F

-. "~'

J J d-..=1382-iri ***. * ..* ' , . . * ....

-* .. '**-.* *. -~ _::::::. *Ar~a ~ncf~arriete.: ~f *~~td* cable layer -~- . '_ . '<> .. -.. ~

. -** . . ( <(Data.sizc.:.1)*:.* .*. . . . ' _>,,.  :~ . . , ... '.T ... *,

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

.* . ...~

!/ *.:

.. ~ '

' . *, ~

EA-ELEC-AM P-040 Attachment H

..  ::* *.. :.. i,.l .::. 1:i=>a 9* 2a 'at;;' ** *,

9

.d condi)2 ..

. Acond := 1t* (.-2-.

(Data~ slz.c - t) ~ . . . ;*c a ble d.1a. *)2 -- *2 1 .

. Ap0wei>= ~*. . I i~>O*~,N~_ca.blesj"1t*i -

• J ,O*in*. Apc>wer=L178*in 2 2

.. . j=O. _- . . . -- **-

• i*

> _- - __ - 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_ .

. *: . -. . , . - . l :*

-'. .~hot:~ *Q cable.tat_~.: . Q hot =9.743,*watt*tf ~. - **.'

~ *' ... *-*::

Heat generated by "Wann* cables

-:i

..... --~

(Data size - I) * '::. . .

__ _.~*~_Q*w~:= . _. 2:'. *-~ .if(Hot_~gj*l,Qcabl~j'O*watt:tr .)

j=~... . . *. - . .. .

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

• -. _* ~ . *~-

~ .. ... .,  : . *.

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

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

.. . . ~. -: '*  ; .._

.-- .......  :.~*- .. .**. .  :. *

..... -~*

~

.. . /::

.. . ~-

. .

• -~

' -- ~. "

..-,/.

EA-ELEC-AMP-040

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

i .. I *::_,.* =::* ,__ , .. ,. 'z9*!ot-'

tH ., ..

_ . Page. ___ 1::.

.. : ... ~-- :.

_ *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 x*d cOndo.'e ~*~*{r' T amb - 4

• Qr(11  := )

.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 .** *.**..,

. .1

'. ~;

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

.:. "T' *

~- .. .. ;_,

~

. .*-. *;* .. .i

; ; ~:* . *.** . *,, ... .: ~

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

.~*

. ~-.'_;. :,:_*.** . .* T  :.  := Find(T ... )-'.- :

-' - - ~--- . . . guess *>:  ; **. .. : .. -. *~ j * ; ' . *-

, -*~ r * .'

., . -* .* *:rCcmdo.=*~2s.ss~-*K -TComio- CtoK ~ss.103 *K °C *Surface temperature otthe-: . ._,_.-*.-.'*

. ~ - - ---. t. __ : ,- ..

. ~.-

.. conduit:.** .

"!.*-* >- *- *~ .  ;,* '*

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

.- . -  :.,  :*. - - ~.'. ;* *-*

.~ ... -

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

. 'I_: : -~

,.r*

• ~ -..

~. -

.. ~*

..... ' .'~ '

EA-ELEC-AMP-040 -.

J *.

• Attachment H

• U ** .,-., Pag1f30 d{ . . u '?  :~::  ::*

___ ;_-~ -.

. -*Temperature Drop thrOugh the Conduit aT cond := -*p cond* ln 1* , (dconao) total *Q

• See Equation 2"8 of Holman 2*K . dcondi

• 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~~ e. ... . 0

-. ~-

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 .<

. * * *watt-i.*ID* *.

~

B',:= 0:19*.in .* . .- .~- :..

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

total * .~ee Equation 41A of Neher-McGrath

.I. ** '* _  :

. at ~p :_= B' +- d. . . *Q .*J - .

r,;**

. . . . cold .. - .'

...... ,. ... .. - .:-:~*-.: ;~~ *~ -. .' :.;: 'r-~ . -. ").

-*- ... (

~P-~a I: {i~. 2'~.K- '.' : -:'.-;,* .\' : -: ._-

-~ --~ - . "*

aT

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

. ?~_:_.*T ~ *_~:,T ~-+- '.6~,~~--~:'*. Temp~rature at the outsige surface ot~e cable mas&:::.

0

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

~

. ,~*

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

-~

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

• -**. . . '~ . -

• TemperatiJfe drop tt1J"ough the "cold" cables* . :" ... .  ;

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

.  : ... *. - . 2*K dwann .

.. _aT ~ = 12.90:Z*K T cold..:. CtoK =79.776*'1:.C: ** .. . *:-* ~. . .

EA-ELEC-AMP-:040

• Attachm$nt;H;* '>  ;:. * *. ;*:

.Page 31 of _ _

'femperature drop through the "warm" cables*

. . . . 1 .

k mass:.=-

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

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

-+: * .. . * * . . *.: ** * -- --

)

. .. . 2:Jt. .

dhot .. . . . 4 ktrulSS .* .. 2 kmass ..

2 .. .

. dhot

• ATwami=O~K

• • . T warm~.= T Cold -t: at warm . Twarm - CtoK ;,;._79.776 *K°C.

_.J

. Temp~e Rise ttvough the h~ cableti

.A-d~-r

~-

_* .**t

.. Q dasity...._*** Hoiman, Equation t-26 AT110t:.=---------

. 4*kma1s .. * '*

. .- -~ ,, . '.

. AT hot= IOJ7S *K

.i

F~*0.688.: .*... '.

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

• • . *. *' ... *, . . :~

~.. I. * :

.. 6

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

.  :.: . ..... ,J ....

.*. *" . t. ,, . . . *

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

~*.:: ..... :

• . ' ..~-~

.:*. :-.i

.- .... -~ -_

. .' . ~

~1 * . *

~ .. EA-ELEC-AMP-040 Attachment* t'.f

'**i i:\ ;* :::,

Page 32 of*

o.s 0 *130

.a~(Index~~*Sablc_data).= ( O 2 6 I\,j 1 .14 28 2 0.37 0 0 . 0 /. . :i**

1 ~

• Fil(U: =O.S67 *

.Q tObu =9.743 ~w,att*ft" t Q cab.I.* . . * =9 743 ** . . tt- 1* .. Fill.J>Ower-'u =o'.l59

. . °Hat_inda:. . watt* ....

Fill:_:warin_u =o

" ~.

• Fill~cold_u =0.407

~.:

• -:~

-...1*

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

'...~ . -:, .

' ~- .. .. "\

1'

• ~ :

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

. ~ ...

--;:- ...