Text

Excerpt from Ampacity Evaluation for Continuously Energized Power Cables Routed Through Fire Stops, Revision 1
	ML18067A638
Person / Time
Site:	Palisades
Issue date:	07/09/1997
From:	; CMS ENERGY CORP.
To:	;
Shared Package
ML18067A634	List: ML18067A633; ML18067A635; ML18067A636; ML18067A637; ML18067A638;
References
	EA-ELEC-AMP-041, EA-ELEC-AMP-041-R01, EA-ELEC-AMP-41, EA-ELEC-AMP-41-R1, NUDOCS 9707180090
	Download: ML18067A638 (112)
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{{#Wiki_filter:* ENCLOSURE4 CONSUMERS ENERGY COMP ANY PALI SADES PLANT DOCKET 50-255 Exerpt from: EA-ELEC-AMP-041, "Ampacity Evaluation for Continuously Energized Power Cables Routed Through Fire Stops" 9707100090 970710 11 ~DR ADOCK 0500~~~ 111 Pages

. -~.

PALISADES NUCLEAR PLANT EA-ELEC-AMP-Q4l ENGINEERING ANALYSIS COVER SHEET..

Total Number of Sheets.* __ _ itle Ampadty Ey~lyatjon For Con_tjnUoysly E?ej*gjzed power Cable$ R~yted Throygh Fjre~tgps *.

Rev Calculation Status
B.

Qt~ginal Iss~e 1*

See De_scription B.elow, his ana_y~1s.superse

. INITIATION AND REVIEW Pre l ifrii nary' D Pending*. _Final D Superseded D initiated Init Review Method i.----...--'-----1 Appd. Technically Reviewed Revr -Appd CPCo B

Da.te
- By
Detail

. Qual Alt.Cale* Review. Test B Date By ApPd R. J. *Nehls Hernandez. )( R~ jJ**.*.:;:;.:;,., De. s.a. i..*.*.1 ;* * *

r* ~.--

z q '11 x 1restops.. * * .. ~.., ( ~*

*i __ *

.. *.. ~. dated text fo include additio~al measured load data, updat-~d assuming the tray_ covet' for *

XP600 has b~en raised, update. cable* tray analysis. for XP1 21 to include measured room *

.temperature and to document* additional* analysis to* determfne maximum expected' conductor temperature. in* conduit~ * : Att~chme'nts 19,* 22 and25*-.: incorpor~ted.. measured load data. into table;:_*:*: *.'::.'; **: '~.~-. -~ **...

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

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

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

-~---: .*:*,,...... 7 ~ incorporated mea*sured load" data for affected. cables.

r.

. ~. ;" n,,, J"' ~ -:.: .. -.~-~*.:... ~... . -~ ~ Added* SectjoQ:~. >,' ~*" -.... ~- *;;:.. Attach'ment io - Lt~ betwe~n K.: Toner* (C.ECo) and o. Crutchfield (NRc'),dated Nov~rnber 1, 1982 .. **.... -~-,. :...* *;. <**:.. <.. *.*... <... :*:... _:. *, *<... ;.. **.. ~ -:..... -.... *... **: *.;,... ;*.. *.. "......,.. "'_.. 4-methodology.. for determining the condt.Jctor.terriperature in conduits.* tachmen't. 35:*.:. suppo~i~g* data'.for atta~hfuent *34 . ~. .{_.. .,_,-:.~ --- ~ ~ --~ Ait°ach~erit. 36'::.supporting data* for.* analyzing cable trays above *a*t~r:riperatute~f 7_5°C AITA~~-~~ $,~ d~~Men+a*f,'G?n -~~:.. ~abl~**+~f'~~cde Jet~r~,J1~fton<. *_.***. ~

. ':.~.... _

.. ~.

.. 'i~ PALISADES NUCLEAR PLANT . EA-. ELEC-AMP-041 ANALYSIS. CONTINUATION SHE.ET Sheet ~ Rev*#_*...... 1 __ I. OBJECTIVE

Background

During an analysis b'eing performed in response to Condition R~port C-PAL~96-0756, it was discovered that analysis does not exist to confirm the.adequacy of ampaqity values for power cables routed through..

penetration containing firestop material. As requfred per the FSAR, the

.. ampacity of power cablesshall be adjusted d_ue to the effects of.

firestop material._

. Power cables are installed in penetrations iri one o'f. four different.* * *. configur.ations; conduit, sleeves,.fre.e air and cable tra.ys. This EA wili establish the methodology for establishing the *adjusted ampacity fo_r. continuously energized power cables routed through penetration. containing firestop material at the Palisades Nuclear Plan~.

*_*..-*e.urpose :. -*. * * *
. The* pur~ose of 'tt:iis analy~is is to.evaluate the ampacity assoCiated.
.. with the continuously energized power cables. installed. in penetrations *.

. This:*analysis>> will consist of the folloviing: . \\.** Cable Trays: * -:- -~~. .. ~ use'. of a ~omputer model and program (Reference* IX. 1 i j which. . calculates the maximum cable rnass temperature for a cable in a ra.ceway :and, ~applies. further d~rating for the flrestoi:>~ -. ~ --< * .. 2.)*.*compare-the 'maximum"calculated cable temperature with the'.. /:*. :_ expected:,cabJe insulation temperature rating. * ~.. 1*.: I .-~..

Conduit's~ S!eeY:es arid Openings *.**.

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

.,,_ "* ~ '\\ * ..... _. 1.) ::* det~rn:iine ~ deratihg.factor. for: the i~stalled configuration.and: *:*:* adjust the allowable ampac;::ity using.the derating factor...

2.). Compare.the. established.full load current with-the derated

. ~:.* ".: ampacity of.a cable at a given raceway.

:.. 3*.) : For those cables with derated arripacity less than the full load *....

. "*current, compare the maximum calculated conductor temperature

with* the c.abie insulation tem.perature rating.

~..

*-~

j

. PALISADES. NUCLEAR PLANT ANALYSIS CONTINUATION SHEET

. ~.*EA-ELEC-AMP,.041

.Sheet ~.Rev.# **1 *
scope

. The scope. of this* analysi~ is limited to* a~ ampacity evaluation of. ' continuously energized power cable*s installed in penetrations

documented in Manual M66F (Reference IX.5) and ariy additional *

.* '*. penetrations discovered during the.penetration..walkdown and.*. -. - docu~ented in Attachment 4 of this analysis. .

11. *....

INPUT DATA .1. 1 J **Appendix R, *Manual M66F, llPen.etration Seal Database Entries_"* '* *.(Re.ference iX.5).*

'..
_2.),
The Palisades Circuit and Raceway Sc.hedule (CRS). *This.*.

includes, hut is not limited.to, quantity of cables per conduit,*

type and si.ze of cable.* The.existing CRS database required......

.,. >some minor enhancements to ensure acc.urate results.. These,.

enha~cements:* include ~erifying data* such a~ cable siZe; cable*.

. : :. *... type, cable 1.,ise and are 'doc.urnente~f in Attachrrien~ 9 :* :...-*
-.~

.*... ~-* .. 3.) Att~chment 21_ contains. a complete* listing. of the. cables *. _:;**... *.. identified: as J><>>w.er.and the as.sociated load current The load

.-.~current was*determine-d using Palisades plant documentation, as.*~.*
- - - .*-... :. *:--.. -~_:;identifiedin Reference IX.9. *.**

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

~-* -

. ~ *. .... ~: .** '4.-)..*. Ampacity:*values for the various cable sizes Were obtainec{'tro;,;*, *~

- IPCEA Pub.* No. P-46-426:Jmcfthe National Electric Code-..*'. " *,.,.

. '((Referente IX.13) The 'ampacity 'values'are based on an* ambient:. __. <~airtemperature of _4o0q'(Reference*IK1). - ::

*,_.. >'_.~ :fLL.
A:.~alkd6lvn.~as performed_.to.determ_in~ the ~lect;ic.al _.. *---, _.

component$. routed ~hrough each aff acted pen"etration ~,The.*: ' ' *~.. -~ ~:- re~ults*.~Cthis walkdowri: are documented in A_ttachment**3~*;

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

.-:*~*::

.,.. ~~.---;.,..

.. *** :6.) *.*,.Documentation' requi~ed *f<?r.the Heat Tra~-sfer. l\\Jio(:tel for C:ab_le-*: *.

. *: *. :* : Ampacity in.cable tray is-.referenced in Attachment' 2s.* and.
_.
i.ncluded in Attachmerit*-29. * * **
\\.

... :..::* - 7 :,.-._ :. s&L -~~rt~rm~d *:~ c~1cu1atio*n. to deterrni~~ the* deratiri9* req'uir~ci.

* *:-:
f9r muitipie cat?les in conduits. This includes both multiple:**.*:,

'*, \\ power feeds in the same con.duits and multiple cable type's in 'the

<,:. same condui*t: This ~alculation is included as Attachment 3i.\\. *

~

.r*.*

. -':~ ~ *....

. ~

. :.~ ~...

.}

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

.*,,~

~ -~ .. ?- ; ' ~ ..'(

II. c PALISADES NUCLEAR PLANT . EA.; ELEC-AMP-041

ANALYSIS CONTINUATION SHEET Sheet __A_ Rev #.. _-...... 1 __..

Reference/Comment INPUT DATA (continued) - 8.) *

The methodology fo.r the. heat transfer model used for cable tray
analysis is included in Attachment* 7a and is based on a

. : 9:) horizontal section of cable tray. *The justification for using this *

. methodology in vertical sections of cable tray is provided in EA-

.* ELEC-AMP-033, Rev. O-(Refererice IX.4).. The an:ibient afr temperature fo-r ge~eral areas of the plant is., -40°C per Reference IX.1 ~--: Area* specific t_emperatures are

availabie per Reference IX. 1 7 and -were utilized for cable tray routing point _XP121, located in the Cabl_e Spreading Roo_m.

llt.. ASSUMPTIONS:* __ - Major Assumptions.* -

--~,.

~ :. . Minor AssumptjoOS. \\. .J. . *: 1. ).

The ~engineering judgements requi~ed' for the developm.ent of the *' *

. ai1alytical ampacity. and_ heat transfer model are included.in ... -1

- Attachment 28. *

-~

2)

The pLirpos.e of Attachment 31 is to determine the ampacity. '. -_.. -* de rating factors for* multiple. po'wer and control cables in a single

_ *.
conduit. The ampaCity values included in the IPCEA_for cables.

_-_ < _' installed in conduit is not a _function of conduit size.. Although by calculation, the. ampacity may be slightly impacted by conduit. *

size,* the IPCEA. considers them to.be free of.variations.-. The' *.

. calculated:deratirig factors assume that the cable is 'carryi~g* its ., *.. ~ rated. cu_rreni -~nd the: selection of a. 3 n conduit is considered.. ,~ . 3.). . ~. representative* of-the* conduits at the* Palisades Plant *. * ~ -* ( s, Based-~n.the above approach, the selectl~ri of 3"~a~*the basis_ - for the conduit derating values' will be consel'.Vative arid can be used for: all conduit *sizes: In. the det~rmination of the *full load current' for each power c*able, some conservative* assumptions were used.. These _assumptions are identified and documented in Attachments 26 & 27~'- ~. - . ~*. .-.... ~. ;

. *:PALISADES NUCLEAR PLANT.

EA-ELEC-AMP-041

.

ANALYSIS CONTINUATION SHEET

~*.. Sheet*_s_ Rev*# _*.... 1 __ Ill.*. ASSUMPTIONS {continued) ~*--*.*

4.).*

Att~chment 5 documents conduits installed fn penetrations* .. without condui~ numbers.~. The cables associated witli the~e conduits could not be. deter111ined and therefore the.se conduits

_.we~re excluded from further analysis. However, it is not

., _:*expected that the cables installed in these conduits will have a .,significant' impact on _the results :of thi!) anaiysis and the'refore,, : ., verification is not required.. S*' . -* ~ :.* 5.) *

A'review of the'CRSdatabase* indicates that the insulation*.,_
.temperature rating of power*c~bles at Palisades.can*be 75°c;**

. :85°C,. 90°C and 125°C.. The ins~lation rating used in this -

am:ilysis are as follows: *

~. .~ Ccrndujts~ *Sleeves* and Openings*. .. *.. " *.. *_The insulation ten.iperatl.fre rating froni'the CRS. will b~*.*** . d.etermined and the ampacity \\ialue from the appropriate.. tables.* included in Attachment :30 will be used.* If the CRS database* " .. d_oes not identify the insulation temperature rating, a r~ting of

75°C wili be_ used. This is the lo'wesf rateci cable at Palis_ade$ and..

... therefore:is a conservative assumption.*. No*. verification.is_

,*_**.* *.**.-.*require.d.:_ *>. _

J,.-*...

*** ~

... ~... Refer*

*.**. _ _. *. *. Cable Trays

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

~

} '..... .:-*. As previously stated; the conductor insulation*ratirig of 75°C. is.. **.

* * * * * -::-* the lowest rated c*able installed at Palisades*.. Therefore; *the.. ~.~-._

cable tray~ will' be* evaluated -_using* this assumed'_ in~ula_tion rating *., ~ *... ..:. :--~f-75. 0 ~-~-~r-~n p.o~e~;-:~ables. _ *... * *.. *.* _-. :.*>~,_.: * *.. ::*, -~::.*

~ HoVi,t~ver*;; ifthe c:*alc"Ltlated temperature of a* cable tray is above**:.

the assumed 75°C. value, the pqwer cables installed in the tray

*~

....,.,,. '. will be.reviewed ~o -determine the.actual insulation rating*~* :The-..

'.... ::*. *
insulation rating* for cable types. not identified in CRS *were :. ; -.
conservatively determined and *are documented in Att.achment

.,

37,*and the analysis for cable. trays abov*e 75°C is included in.* * *
Attachment 36.
Np furtherverification is required;: -

. ~ - 6.), Work Order *24712044 {incl~ded in Attachment 26) requires the.

cover ori *cable tray* routing point XP600 be raised by.1.~1 /2".

.. * * *,.

This analysis assuriies the *cabfe tray* cover has been raised: and : :

".... I . r ~ '., ' --~-.. :: *:. is. end in. completion of the Work* Order:.. *,,_. .._ ________________._ ____________________________________________....., ______ ~----~.. ~-...:; ~

r.

~-

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

@:mn _\\':!::/,...... PALISADES NUCLEAR PLANT.*. EA-. ELEC~AMP-041 ANALYSIS. C()NTINUATION SHEET.. MIUmliA#"S """'1IWS.. Sheet __..6._ Rev #. __..1 _ _,. IV: ACCEPTANCE CRITERIA For each cable within the sco*p~ of this analysis, a comparison vvill be.. made between either:. . the calculated derc:ited amp"acity for the cable and the calcuiated ' loadlrig of the cables;

the cafculat~d expected nia)(imum: conductor temperatu"re arid.

the _insulation ternperatur~ rating of the *cable.. . If.the. calculated ampadty of each. cable exc_eeds the calculated. lo~ding, or the insulation temperature rating exceeds the maximum calculated.'

._ Gable _temperature, ho further disposition is_ required...

V.. -METHODOLOGY.

In. order tc> perfon,;; an* ampacity evaluation of power cables i~stalled i~.

firestops,* a comprehensive list of electrical components installed in.. *.*

- ** penetrations haq to be developed.* Once. the electrical components * *

.. were identified, which was done by data review and walkdown,'. it was. necessary t"o determine the appropriate derating factors' associated 'with

- - - - penetrations containing* fin~stop material. *... -:.

I

.. *. In ~n -~ttempt to ~educe th~-~curr~nt derating values in *EGA*fr.ELEC~()5 : * * ;

. * *. (Reference _IX.2), temperatures* of the* cables inside and outside o( ., various penetrations were _measured.- U_sing the~e* measured values, . *-. temperature facfors and* ampacity multipliers were developed for* *;

penetrations contail'ling firestop material (Attachment8k

.~ ~. usi'ng. these c~l~~l~ted:~al~~s~--~n evaluation 'of the ~emp~~ature and._*. ' ampacity for coritinuously energized power 'cables installed in the *..... ,- * *~_c_pen_etratio,ns w~s performed~<.. . --..,*.. *.., -:~** e -~... . -. *~. ~*. ~ ~ ..

Determjnatjo"n of Affected Racewa*ys:

~ '*

*.In discussion~ with Palisades person,nel in.the A.ppendi~ R group, it was
lea~ned that a walkdown of penetrations had beeri. previously completed

. ':.and is documented in Manual M66F, "Penetration Sea.I Database Entries

(Reference IX.5). *This walkdown provides a unique ~FZ" identi~ication*.

to *each penetration.;.

.";'I

... ~

.~

.. ~

I PALISADES NUCLEAR PLANT EA-ELEC-AMP-041 ANALYSIS CONTINUATION SHEET Sheet _i__ Rev # *___..1 __ -~. ' I omment - *. One ~f the. supporting documents for this databa,se includes a.*

walkdown checklist for each penetrat.ion. This checklist identifies the*

general location, size; material and, in part, the identification of the components installed:in the penetration;

However:.unique numbers for all the electrical raceways are not
- identified. Based on.this, it was determined that a walkdown of each

.penetration contain.ing electrical components ~ould be performed. A list of penetrations containing electrical components was developed to.

- .* determine those requiring field verification.
This list is included in -:
Attachment 1..

Using the data on th~ walkdowri.checklists; dravvings were created to ~how the location of..these firestops in _the general *plant are.as. These * . drawings w_ere created to act as a guide. to ensure the *affected penetrations were walked down.in an efficient manner* and' to provide a

*.*tool for documentation of the electrical components ~oun*d during the..
..
walkdown.. These drawings are identified on Attachment 1 with an *,. ~

"RFZ" prefix ~nd are included in.Attachrnent 2.. The results of the walkdown are documented in Attachment 3.. This. attachment is sorted* by electric.al installation drawing and ide.ntifies each -p~netratio_n by it$ corresponding ;, FZ" number. a'nd.. the associated_ electrical raceways installed in the penefration, * *: '_ * '~

l

. *.. *. *, * *. During.the walkdowni_ p~neti'ations were found ir(the plant th~t V:/ere *. *.. *. t * .. *:.. n.qt documented in Manual M.66F and dcl'not have a corresponding*."FZ"

*,:,.number. *The* electrical components installed in these penetrations* were.
_*. identified,--if possible, and are* included in Attach~ent 3 by a,

. > ;... -. penetration. number Qf either.. ~ DET" or SECT. II A separate listing of. :.*

. : these peri.etratjon_s.-~r~: included _in Attachment 4'. *_*

~.* ~-

- .:.* * -* Another.item disco.vered during the walkdown.was that some: conduits.*

-~ did hot ha*ve *unique identification labels. There>>fore,. the cables. : :~ * '.

assoC:iated with these conduits; which are included in Attachment*5, *

-~.. could not be determined and.these conduits were excluded from* *further ,._ analysis (See _Minor.Assumption 3). *. ~ . *.. :. A comprehensive. list of racew~ys_installed in the penetratio.ns ~as. ... generated from the data included.in Attachment 3. It was noted duri~g . '. a review of this attachment that. there.are 4 types of electrical.. <~ raceways installed in these penetrations. A. cable is either iri a conduit,. a*con.duit sleeve (~hort piece of conduit embedded in the we1ll), *a cable**

. tra en air:* *
~**.

PALISADES NUCLEAR PLANT -EA-ELEC-AMP-041 . ANALYSIS-CONTINUATION. SHEET-Sheet _a_ Rev # ___._1 _ {' - Therefore, the evaluatio.n of the cables will be based on the above. - .* installation conditions; Attachment 6 is a comprehensive iist~ sorted by - the 4 types of installed conditions, of the raceways installed iri the. --- various firestops~

Testing Reference/Comment
~
In an attempt to reduce th~ existing derating values in: EGAO-ELEC-05

.. _(Reference IX.2), actual m'easuremerits of cable tray, conduit and. *: -_*_ -conduit sleeve t~mperatures inside and outside of various penetrations

was performed. A test procedure'was generated providing the *. * *

-instructio.ns for gath.ering the_temperature data. The test procedure,.. supporting documentation and the test results are included in

** *Attachnient.7. Based on* ~he measurements documented during the te~t; 'ten:iperature factors 'and ampacity multipliers were. developed for

. firestops. The methodology for" these factors and the results of the.. calculations are* included *i_n Attachment 8> * * ~. -~. *~ '. .t ~ ..~ _* .. 1..

; : ~-.

Uslng the results of Atta~h-~ent 8, which identified-.teniperature f~c~~-rs and 'a!'Tlpacity multipliers, an.e.val,uation of the cables installed in' ttie,- * '. ' . penetra_tions was'performed*..The evaluation depended on the*type of:,.-

~-i

. * :raceway irist.alled_ in the pen.etration.. Below is_ a description of each. *_ _*.. -: eva_. l_uation. -. _* "~--:.. ------ -- . *.. ~ ~. (., ~ '*.I, 'A" _.-~

-'.-1~>

C~_bleT~ays :_:~.*-_:_. -.*.. /'_ -~-

. - *",. *. <>,,, analyti-cal ~odel which calculates the maximum-~xpected~:r-

~: -.-. ~:.. ~ ~: '.*. .* ~=: **... ~ tenip~tature.is being-used for cable trays iristailed in *.. * * * * * ... -... c,'..* penetratio'ris::: Thi~ model uses the Mathcad. Software. to perform ... -- '._ :; _ __ ::.the labor iritensi.ve *calculations associated-with the anaiyticaL..

: :.~: ~. -mpdel.; This. mod_efU.tilizes the cabl~ loading __ diversity (i.e. ~he. -*_

-._ *- *. *;:'~ *- fact that 9e1bles atP,alisades ar.e not c:tll carryin'g* t~ei~ rated*-*_ \\;: _ --*~. *: :- /: currenfand that physical distribution of continuously energized-*: *. , '\\'.°' -:.: _ power ca pies in trays exists): c .... :/ r- .~ :

.... *,,. -~

-~-*.* -

.,_.-., -., ' A. feature" of this-model. predicts the maximum ~able Jn ass steady '.

:>_~'. '-state t~mpe~ature that e*xists in a single horizontal cable __ tray in_

- .... -~. :

.. :.. open air... The temperature is ttien corrected tor the:! fire stop.

\\* :*; material using the temperature factors identified :in Attachment..

-
8.- The methodology for the development of the heat tr~nsfer *; -

-

moctel is discussed in Attachment 28~ This-adapted_ model arid :

approach are discussed in IEEE paper~ 94WM 100-8 PWRO * *.** .. -::~ ~. ;.: (

Reference:

IX..-15) ~- * :, -* .......... ~ __...... ______________..._ ____________________________________________ ~~~--~,. " ' -...,~ ~:**. J

. :~

PALISADES NUCLEAR PLANT ANALYSIS CONTINUATION* SHEET EA-.ELEC-AMP-041 Sheet ~ Rev # ____ '*J. ~ The cable data for trays identified in Attachment a* was reviewed.. *.

. to determine the population of cable trays requiring analysis.

Cable trays with a segregation of "Instrumentation," as identified

in EGAD-EP-06 (Refere.nce IX.3), were re.moved from further.
~nalysis. Attachment 11 documents the remaining 34 cable *
trays which require further analysis *using the m~thodology described in Attachment* 28.

A report was generated for each of these 34 tray points. This.. report identifies the cable tray and the cables* routed in each*. * . point along. with cable characteristic data required to perform the

. temperature analysis~ This report is included as Attachment 12..

. The load current fgr eac~ co_ntinuo~slYenergized power cable. is**. , *required as an input into the ampacity analytic~! model. These-. . values will be used to determine*the "layer" arrangement. '*

. adopted. in the model discussed in Attachment 2a.~ In order to determine 'the actua! load currerit, a reyiew of existing plant

"

calculations, load center sheets,. MCC setti.ng sheets; plant *
drawings, outstanding change paper and. v.endor docu!'Tlerits was

,.* performed.. The documentation. associated with this detailed

review is. included in Attachment 2fl;. Each power cable for the

.34 tray points was included in a unique file~ These files include a reference to the source data for the respective current values, and are included in Attactimerit 13: hi addition, a cumulative . : **i'isti_ng of the po~er cables that were researched. for this ~nalysis*.

- ai~ included as Attachment 27;

. Utj!jzjOg.the Ampacjty PrograDl ..~.. - . >" ';: *... ": "'The s&L*M.athcad A~pacity Progr'am is executed by li~kin~i two..

~~,....

input files for a *specific*routing point to the executable version of . *.. *, ' * *the program. The input files are text files that consists of" . raceway and. cable data that specify the composition and".,-... _. *.. * *. ;.*

characteristics:-of the _cables (size, diameter, amps, etc.)'in *the:
tray.. The* assembly of these input files co~sisted of reviewing...
. -'. :* * * * *. the cable data included *in Attachment 12 and 13 for each*--., :..

routing poin1 and. determining those cables that have similar

1, ** ""

cable characteristics. Cables that have the same characteristics=* are "bundled" together as o'ne.cable group. The result.is an input

file which lists unique cable gro.ups that _represenfthe totill *
cables in each routing point.* These input files, and an explanation of the data included in the files are included. iii. 4;

. *I -~ ~ : ~.. ._.1'

'* ~

PALISADES NUCLEAR PLANT ANALYSIS CONTINUATION SHEET .

EA-: ELEC-AMP-041 Sheet 1 o. Rev # ___..1 __

The output of the Ampacity Program contains *the input data

used by the executable program and the resulting calculated

. cable tray temperatures. This output file for each cable tray *

routing point is included in Attachment 15: The output of this:
- .,program is a set of approximately 34 p(!ges for each routing *
point analyzed:* The* majority of these pages contain *variou*s

. equations and_ calculations that. are repeated for each routing .:

point. Therefore, one complete sample output report. is included

. as* an appendix to Attachment 2S and the data included in . 5 wilf be the unique input and output data (usually .*two pages) for. each of.the 34 routing points. . Installation of 75°C Cables jo Tray Located jodEjrestops. f>er'. Minor *Assumption s; this analysis assumes thatpoWer.. cables at Palisades have. an insuiation fating of 75°C~. A review.

of Attachme.nt
16, which is a summary of the calculations for*

the 34**affected routing points, indicates that the calculated.. maximum conductor. temperature for all but 6 of the cable trays- .. is belovy 75°C. :*.Therefore, using minor as.sumpt_iol'.l* 5; which *: . assumes 75°C as the cond.uctor* insulation rating for all POV/er ~*:**.cables, these 6 'cable tray routing points require additional ; . **analysis*..

A listing of the 6 routing points and the d_ata-

~*- supporting the additional*analysis is included in Attachment 36.

~. and is described below..

. : ***The Mathc~d ~utput files for the.6 routing points-war~ review.ad

:. : *. * *.. **and. the power-cables* with the highest percent' of the IPCEA * *-.
. *... _ *.. ampacity were supmitted _to Palisades to obtain measured loa~.

ence/Comment '£'. ~.

...~-

* -. *.. *...
data~ *The documentation for these cables is included in. ": * "

- *-- * -* -* * *. Attachni*ent 36~*.:...... -. _*. * * * .. *: _ * -. ~.*: * ~ '-:.,-,., . : '*~. -.,... . ~ - *.

The_ 6 mathcad input files w~re then rev*i~ed to reflect these. ; *******

....

measured IOad* values and the 6 files were rerun using the. S&C~--:..*

. _.. AmpaCit'I Prograni *The documentation.of these load change$,:. . ;. the revised input ;files *and the-Mathcad output files *are indude.d:.

- in Attachment.3.6; pages 3 through i6..-. *

. i 1 . Page 2 of Attachment 36 summarizes the temperatures from-*

":Revision 0 and the revised temperatures*. A *review of.this.

. - summary sheet shows that 4 ca.ble tray routing* points still have* a calculated tempe.rature.above the 75°C :maximu*m allowab.le~ *

.~.....

~-*-~ PALISADES NUCLEAR PLANT EA-. ELEC*AMP-041'.. ANALYSIS.CONTINUATION SHEET. -Sheet

11 Rev #

1 . value.. These.4-cable tray points were reviewed-to determine the . actual.insulation _rating of the cables.installed in*each.tray.. 'The E39.db file in the CRS datab_ase identifies insulation ratings -of mo.st of the cable iypes* at Palisades. However, 18 cable type. codes. were found that did not have a rating associated with. them in the E39.db file. These 18 code.s were assumed to be _

75°C (See minor assumption 5) and the suppo.rtirig_ data for this
.*. assumptio~ is included in* Attachment. 37.

. A query was then perform-ed using the E39.db and the cablcode.db data files in the CRS fo determine the insulation

rating of the cables installed in these 4 routing points~ The.

_results of this query-is included)n Attachment 36, pages 27 . through _32. A review of _these results indicates that 2 cable* trays contain cables with a potential insulation* rating -of 7 5°C and a temperature above the maximum of 75°C.. : -~ 2.) - Conduits: The cable data for condl.iits identified' in Attachment 6 was'

reviewed to determ.ine the pop~la.tion of conduits requiring analysis. A review. of Attachment 6 indicat~d that there* are 397
numbered conduits. install.ad. in~ penetrations; These.. 3 9 7 conduits
-are documen-ted in AttachmentJ 7. :A revieyv of CRS indicated
"' -- that. 1 26 of these conduits.contain continuously energized power

,. *- -**. *.:. cables~ These_ 126-conduits, whic:h require additionafan.alysis, :- _ are* included in Attachment 18.

~.

The -approach--for c~nduit a-nalysis* fir~t looked at the conduit prior:.

* -, :. *.. * -. to. the installation. of. thef_ire-sfop material... In this environment,*

. : -. -... the ampacity for: the _installed cables in conduit is obtained from. Reference/Comment

.~

7

-~

. IPCEA:*or Nee-~* depending on the' cable size anctcable insulation' ~ . ratin~i. The rating of the cable~ was determined using the existing CRS databa.se.(E39.db) and the results* of Attachment 37. These ampacity Yf31ues are inciuded _in' Attachmerit 30-. * *_ .The ampacity*values f.rohi the IPCEA/NEC require d_e.r'.ating.due to

the installation of b.oth mul~iple power and* control_ cables in the* *

same *conduit~ The appropriate derating factor from _Attachment

.. _,_ : - *

31 was obtain.ad b.ase~ on the total number of power 'cab.las_ in-:_

the *conduit. This derating value was then applied to the - * . * *.:. *: *arnpacity values listed. iri Attachment _30 for_ a giv.eri cable 'size*. ~

-~..

L..o. ______________________________

i

.. (.

.... : (@consumers * .. ~ Pawer l'flfnlllll9. . MIClllM!ft Na&IUJI. . PALISAD~S NUCLEAR PLANT ANALYSIS CONTINUATION SHEET

EA-ELEC~AMP~041.
**Sheet* 12 Rev.#

1-*.

Next~ th~ de(ating for the firestop materials identified in., is 'required. A. review of the locatio.n of the condui.ts. indicated that they penetrate -12" or 24" walls,* cind 12" floors.
The worst case ampacity multiplier for t!iese installations,*

which is.0.87, was used.. Based on the above,. a* deratlng factor for eacli of.*ttie 126 . *:. conduits was* calculated*~ This.derating factor was multiplied by .. : ttie ampacity value. listed in IPCEA/NEC and a new derated .ampacity was calculated~* The foll load :current for each.. .. energized cable in the. conduit was. compared to the new de rated. ampacity and the percent ioading \\vas ideritified. Thi~ analysis is. . *included in :Attachment *1"9...

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

3.) Conduit SI.eave~:*. :. The approach fo~ conduit sle~ves is simila_r to that of ¢*~nduits,.... . e>>ccept for the -anipaCity values from the IPCEA/NEC.

Con_duit- * * **.

.. sleeves installed without firestop material use the 'free air:..

ampaCity vaiue froni the tabl~s in Attach.meht 30~ :.. *.

. * :rh*~ cable data *tor: ~on~uit sleev.es ide.ntifled in Attachment6." * * . was again reviewed, but this* time for conduit sleeves. This... ** . review determined* that 63 conduit sleeves are impacted by ~~-.. > * {ire stop material/as* documented* in. Attachment 20.. However,. a.

review of CRS fodicated that only 32 of these sieeves contain

.. power *cables~ as listed inAttachme~t 21, and require further

*:an~lysi$.

~*. **-*:.. '... . ***As with coi'lduit,*:~leev~s ~~n.contain. both power. and c~ntrol.*~--

** * * -* cables."** Therefore, the *derating f.actors in Attachment* 3.1 will be * *

*::.) used fo.r sleeves. as:welLThis *derating value was then applied _to.

- . *.* *,.*.... :_". ' _the.* open:.. airampacity* values listed. in _A ttachme_nt.30. for* a given: *
~.
* *.'-.: __ : *cable size;. * <.*_:* *:.. -. * : ***

t 0 '.*~

~.. :~.,'
,.:* \\W

'~; :*~j **,.

'.'~ *.'~ *

~* '. **

o.f.. r

. :. * :.' >_ ~*Next, the deratin.g torthe fir~stop. materials* identlfie~fin.. * : * *...

Attachment's~ is required> :A review of the location of the'.. - *' *.

* * * *.~ ~
sleev.es indicated that they penetrate 12 ~* or 24" v:valls.. The*.. :* *

.. : ~--*... worst case ampacity 'multiplier for these instalfaticms, which is*.*.. .*. : " 0.'87, w.~s used...

Again, a'derating*factor for.each* of the 32 sleeves ~as..

, : calculated. This derating fact.or Was muitiplied. by the open. air -

. 'am acit value listed in I PC EA/NEC and a new derated am. acit.. . Referen _.;~... -~...... *:: j>

~.

. *.-*. \\ **::

~

"}.. .~ ~ r'. * :. - ~ ' . ~. '... _*~.. _t . *.... t ..~-- -~ _....

_* {

.. ~-.... :.._ --:...... \\ *.. -~- 'j ...~. -~*..

~. '

PALISADES NUCLEAR PLANT ANALYSIS CONTINUATION SHEET. EA-. ELEC-AMP-04i Sheet

13 Rev # _*...... 1 __

was cal~ulated~ The. f~ll load current for each energized cabie in . the sleeves was compared to the new derated ampacity and the

percen.t loading was identified. This analysis is included In* 2. * *:. * *.

4~> Openings* The approach tor openings is quite similar to sleeves ih that the*. ..

free air ampacityvalues from the IPCEA/NEC are used.if no
**
fire stop material was installed.: However, the* derating factor for *

-

multiple cables w.as obtained from Table* VIII,* page v of the IPC~A (Attachment 30). This table provides a derating factor.for

. multiple cables when spacing is not maintained. . Jhe *c*able data for ppenings *identified iri Attachment 6 wa~ *once. more reviewed and it was determine.d that there are 11 9......... openings.in walls or floors where open ain:ables are.routed, a~. dotumented in Attachment 23> The**CRS was again reviewe.d *. * -: *.

.and. only 74 of thes*~: openings required additiona(ana.lysjs due to*

. containingpower cables, as documented in Attachme.nt 24.. *

Ne~t, the derating *for the firestop ni*aterials identified.in- " * * * * ***
_Attachment 8, vias required. A review for the location of the
... -, openings indicated that they pen~trate_ 1_~:'.; floors:a*n*d.12'; ~r 24*

walls. The worst case_ ampacity multiplier fo_r. th~~e. installatron*s, which is o.87:, was used. ~.... \\*. Finaily,.*a derating"_ factor for" each of the 74 openings:*was Reference/Comment

'i

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

- -~;*':<

. *~. / -~ - *~~ .... ~ ..... i

calculated. *.*This derating factor was mul_tiplied by the open air;.-*.: *..

ampacity *value listed in IPCEA/NEC.. ar:id a new derated ampacity. was calculated... The fuli load current for each energized cable in the openings was compared to the new derat.ed arripacity.~'and

: :.
the perc'ent loading was ide*n*tified *~. _This analysis is included.ira

. *C 5.. '**.'*}~-_.<_*-_.. .~.., *. *. * * ...... _ l.. :1.::..":'... :;~*

~

~ -. \\. '.. ...........~. ~.. *... , ~..'. Vt. *: CALCULATION A.ND RESULTS. :* :*.. *.*. -~,.:. ~~ch continu~usiy energized power* cable installed in a penetr~tion.. *. _containin'g firesto'p material was derated based on the appropriate. derating values (from IPCEA, Attachment 8 and Attachment 31) and* **..

applied to the appro.priate ampacity /temperature values. The results of *

... this analysis are.as follows:*:. * ~ *.* :i

I .*.. I PALISADES. NUCLEAR. PLANT ANALYSIS CONTINUATION SHEET EA-. ELEC.;AMP-041 **..

Sheet
14 Rev # _* *...... 1 __

~ - mment*. . Cable.Trays

Conduits Sleeves.
Openings~.

Attachments~ 1 6. ar1d 36.. *.

Attachment 1 9

. At~achment 22

Attachment. 25
~..
- * *.A.summary of the cable tray results is included in Attachment.1 6.and

-~* *.36 and the remaining attachments *are. summarized iri Att~chment 32. . ~ VII. ' : CONCLUSIONS... ~-,. ~... '*.:1

:A. review of Attachment 16 and 36 in.di.cates that:contiriuously *
.. energized power. 'cabies !nstalled in. cable trays' located in penetrations-.

containing firestop material* are.*within the allowable conductor.* . insulation temperature rating,. except for routing points XP.020 and *.. ,.: XP310. The.ca1c*u1ated temperatures *a*re as follows: -~.. . -~. *.. -..

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

XP020 XP310 .*.. '*

- - - . 1s~c..
J
' ~~
7~°C.-*

. 77.5°c. - * *. ** 71;s0c~~ *: *. ". ~ -. ~*, **A review ofAttac.hment'. 32 indicat~s t~at *2 co-~dults confain ~ables :_.** . _,.*that exceedth_e derated ampacity values. These*2_conduits were* .*fuither*evaluated using the.methodology in *Attachment *34 :*and the.** . :*.. *,_:,.*.. result~nt 'calculated conductor te.mperatures were below the irisulati'on.

*: *<: temperaturerati'ngs.* Attachment 3.2* documents both derated ampaeity.

~-.*: and. the. maximum calcu_lated c'()nduct~r t~mper'at~r~ for the 2......... .. race_w~ys.:_:.- ~--' * . ;~* VIII. BECOMMENOATION. *. : {: * \\:,.'*. 1" * .. ~. - . ::* A.revie~ '6f the.. sum.mary:dat~ *i'~~l~d~d i~ 'Attach:~ent~ 16 and *3£{ _... ':, * .., : indicate. that* there are 2 raceways. containing cables.whose. calculated.. *. . *** :.....temperature. is abo'v*a: th~ insulation. rating of 7 5°C'>2,J'.h_ougl;l tl'\\e*Y... ::- * .. *... * :,_... majority'*of the_;, cables in these trays: are rated at 90°C I lh.e. cables. list~d.* . *<.'..: below. have an expected insulation temperature rating of 75°C_:ancf."... *. ., * >, :>.'.: shouldhe"analyzed tc;) determine any loss. of life. * * ..... : >-*.... :~ '~.. :.*-**.. ~~-. ~-.: -*.>.* -,;i.. _._, )(Po20_: . ' BOS/MSJ/1 ~::._. ;

- 1-***.

l'*.' . _.~: "- ; .~ -. _* :. ~:* _* f -"' -.

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

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

- J

. ~. '~ .* ;. t I ~* ~.. -~;. *.*. -....

_ :~-~.

~--~ :

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

i.

~.s. -~ -.B08/Z21 l/l * *,*~";.- . :.. :. ~.-. ~. -. .. ~:._

~* :, '.. * :

j ~

*~

. *:....-* B1-2/M05/1 * . '. *.' *.:*.. :.~....... - ' . :. ~~ c

.: XP310.. :*..
BOS/M47/1
*. ~. B08/M57I1

... :_ B08/Z21 l /1.... -~-* ~. I

_' ', -~

.. y ~*. .. :,;, r, ~~.! * **,* ).. : ... --~.. .... :.. \\-.. -:_. *.-.

- -*~

. ~:. I

'./ !*

.. EA-* ELEC-AMP-041

PAUSADES NUCLEAR PLANT _*. *..
.* ANALYSIS CONTINUATION SHEET*
__ *r: -

IX~ *.BEEEF{ENCES. .~.

1.

Design Basis Document 1 ~oi, "Auxiliary B_uilding HVAC * . Systems",

2; * -EGAD-ELEC-05, Revision f; "Cable Sizfng Gu.idelihes:. *Ampacity"

~-.-.. 3*. * * :_EGAD-EP-06, Revisio~ 2;* .Circuit And.Ra:cewav:sc:tiedule * , Number De~ignatfo_n"' :::. * *., ** .... :*.: 4/ *: EA-ELEC-AM P-633, *Revision o,. *i AHowable H~at* intensity f~r *,. *:.

Po~er Cables _in Vertical Versus Horizontal CableTrays."
* :. 5*. *-*~ Manual M66F;,;Pe'netration Seal Database Entries" :. * *

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

.. *.*.. *.' it *.**Penetration Walkdown Data*. (Attachment *3}

'~ 1 ~.

... 7;. ~ *C:ompute*r Outp~tfront 'S&L !Ylathcad *Ampacity Prograni". for the
. ~4 *cable Tray Routing Points *(Attaqhment 15) :. _ ;:- ';:., '.. * *

"..

c* a*.. Misdellarie'ous Rep~rts fr~ni the :CRS R'~ceWay O_atabase",* c...

Reference/Comment i..* ... ~ ~ ~ :.. ~*...... . ~. -. *...,.. -~ Attachments 9,-12, *11, 20 andi23.>~. l

.: !:L!::_ Daia required i~ supportthe l<<>ad c~rrents for conti~~ously.*

.... *. energized poy\\ter cables was obtarned from data included in< :'_. .. Attachment.26 and the data listed below: \\. '".~. '.

-. ~ *.
. =."

~

_-~>:_--)>:: *. '._,-ca16u1ation DRS-032591~1 "Dete~mine dapacitv* fpr.al1 >*-*

. ::-*... *;: *.. :transformers; cables, circuit breakers,** 1oad. centers; and:. __.

< MCC's".:..J *:. _ :* *

~. .... '.. >.. *:>*. :.:-.:.) **:'.. ::**.. :., 11 . ) ... -~... *,,_ i *' ~ *.

I'.

I .~..

. M*.e.~tlng* Note:s for a* meeting be~~een
R.,.-*ti~rAa"ndei (S&L)": ;*. *:... -'.,.. :.

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

and B>Baker (CPCo) - *.. *. *,.. *

-:;:":';:?.:<'.: ~-*0 >~':::;:~_.:. ~-: *...**.:*.>

-~*.*:

- .. *. Palis:*~e.s *~:ra,;i-~gs a~~ ot~er.Plant Dat'a ~- "_ *::.

,:~:\\!:.

,,~_; *,:.,,

. :~

~;..'.

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

\\.. . '. * *., : *.. *M-easured load* data,...

J
- : ~.

-~-- ,l 10~., Llsti:ng. of Power Cable-s ~~d ~heir Associated. Load C~rrent~\\J~~d; .. ** in,the ~mpacity: An8,l~sis. (Attachment 27) :

C*
- " : "'.~

_ *:.* : : 1 f: * *Methcidology_ fo.r DevelC,pment of the Heat Tran_sfer Model for < __ Cables.iri :rray *(Attachn_ient28}- * *.. r: . ; *~*. -~. ~ *-.. :* . -~...' - '.I. ~-. '~. ~. 0..

EA~ -ELEC-AMP~041 ***

~....

Sheet 1 6" Re~ # { -*

- Reference/Comment

12. :. Supporting Data for the Development of the Heat* Transfer fy1odel *

(Attachment 29) * -*.. ICEA Standard P-54~440; Rev.~# 2*, Au.gust l9S6, _ * * *.*..... * . flAmpacities *in Open:top Cable Trayt1.:.. ** . --'~; -* *. ' IEEE Transacti.ons.on Power Appa~atus and Syste~s, . *.*I*:_.--

* *. *

Paper 70 JP~5 5 7.~PWFt entitled "Ampacities fQr Cable~ in ** *.. - _.

.: *: Randomly Filled Tr.ays",-by Stolp.a, :PAS:-90, 1971; pg: ,. 962.-974-.: - . ~- ~~ . ~~ . ~-- _..... . -~- "* .. -~*. ' "' ~. 1'3.

A.~p~city Valu~s-included in Attachment 39 ~e*re o_btained fip*m;

~. -. '.. -. *~. ; IPCEA P.ub. t-Jo. P-46~42:6, "P~we*r Cable Ariipacities, ~ *- ** *

--. Voh.im.e :1 : Copp~r Cond,uctors".<. *... -',....

~ ~*.

.. '-°. * *-

-* ~-.. *. N-Et Handboo~~Sixth ~diti~n: Based on.the 1993* Edition: __ .,..: \\ i.'._ . -. ~ ' -~ .. ~ -.:.:~ _:, ~. * *:

14... Am pa city deratirig v'alues due to. instrumentation/control* cable *..

.. ' mass occupying the conduit with the* power. cable _and multiple*. :.

*.., -.. p.o-wer cable_s in th~ same*c.onduit (Attachment 31 L:. > <~,:: ** *

.. ~ :.. ~..... ...

15~. *1ee~.Papers (A~~ach,.;,enf33l-~

'*-:\\* ~

t.

-~ .,~--~ ~ ...:: -~ _.., . *.;. * <*_:***~ :-.. 94; wM10.o-a:PWRD,* 1 entitfed**,,Ampacitvo.f c~bles i~-: .* **_**:: * *:. *.

Singie.Open".'-l"o*p Cable Trays", by Harsha and Black:*

1'994.*... *... '.".

l,_.:~,.- :

.. r. -=~-.. :... -,. :.::.... = :~**!,.. -~.. *.. ;*

_-,.'.:_-_... :_::SS WM~t09~7-PJJR*p,:'.: entitled."Ampac.ity.of Cabl~~.. in::::*:.

Single Co\\fered Tray~"~by Harsha and Blac~,_ 1_996._:::*:--:.* :,- ": -- ) ** * ..: :*i _-:

1 ~.:. :--M-~~~-o*d_o-iogy for D~~~~~inin~ the:.Co~duct~~-*- Te-~p~ratu;~.*of; :.*:_.

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

<_* : ':*Cables,_ in. ConduitJfouting ~oints (Attachment 34) *:.: :_ * *:" * *.. *.

"' :.:"._.,=>*" '*

,. /*:.f7~_. Lfr.'between K~Tone/(CEC~l and D. Crutchfi~ld (N,RC), dated_,--*:- -~-.

5,**'

,-_.. * *

NovemberJ ~ 1 ~82_ (Attachme')t 10)

~/: * :*~..-_. ~* ', -, ~r ~-. -... :,., ~ -. "'*. :.__. ... **.-... ' :.:~.. < ~ ~- . - ~-:.. '*.. . ~...

~ ~. *:..

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

~-

~:.. : .-" (;

~

0 .... :~*. ~.

~

-~"

~... .... ~....

.--------4 PALISADES NUCLEAR PLANT ~NALYSIS CONTINUATION SHEET.. *

.
EA'" ELEC-AMP-041 Sheet 1 T* Re*v #

l *

x.

ATTACHMENTS. 1.

P~netradons Containing Electrical_ Components.**

. 2. *.. Pene~ration Firestop Drawings

. 3.

Walkdowh Results *by Elect~ical Qrawing. . 4: *

Miscellaneo~s Penetrations.*

5.

Unidentified Electrical Components Through Penetrations

~....

6. >Listing of Raceways Pas.sing Th~ough Fire.st~ps * * *

"t.'
- :, -~ 7..
_Supporting bata.)or Te~perature' Me*asurements *

'.. 8. Development of Teniperat~re Factors and AmpaCity Multipliers ::.. * ~.. -

9.. *. *Enhancemepts_ Jo Thf3 CRS Database*..

. 10. ' Lt~ between K-; r'oner (CPCo) and D. Crutchfield (NRC) 'tor t'he... R-~duction *of _Ambient Afr* temperature * *

.

_. _ -~.1 :-

~~ble Tr~ys Through Fi_r:estops* },.,-

~*
12.* _.,Cable$ By. -Tray Roµti.ng Point Installed In FirestQps*:. * '*.'. _;

.J . : ~. *.-

13.. Powe~ *cables Per Tray Routed. Through Firestops ~***:- *. <_,

..,*... ~ -

-~ ... 14.: "*Mathe ad lnp_ut Files.~~:.~:._.... * *.. * * ~-**.....,, .A..~>.. ),.:~ ' .. * ~ :* *. :. .... *.. '... * ~ : ~. ~-.... '... ,* -~-~-.. -.... ~.. :' -.

- ~

'... "\\ _15.. S&L Mattfoad AmpaCity Program, Output For Cables in T:rays.

Located* In: penetrations With Firestop Material

~.,. ~ 16_. -~Su~m.~rv.-Of:*M,~~hcad _q-u~p:uf For Cable Trays_.Thr~*ugh i=fr~st~ps . *:.. :*,{. -: Listing' o/~'~7 Cond'ui~s-'an~Their Respe~tive Quarititi~~-* of*' <-:* :

* * :cables and Remarks* : * --*. * * *

~-

i*

.*.18.. *.* 12*6.Conduits Containing Po""er Cabl~s for Analysis and_ Their *. Respecti"e 'FZ' Number.. * - ... -. ~*

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

. <.r ~ . ~-. :_.. ~ ~..

~*.

-~.... Rafe (* . " ***,e -. -~ ( :*. "1*

j.*.

. *. ~

. **@=:... * ~ l'llWElllllli. AUICW#'S l'fllllilUB . PALISADES NUCLEAR PLANT.

ANALYSIS CONTINUATION SHEET

. EA-ELEC,.AMP-041

Sheet 1 8 Rev #

1 . ~.. ~eference/Coniment. X.... ATTACHMENTS (contin*ued) -* * *

19.-

Listing of Derated Ampacj~y Values and Percent of FLC-fo~ *.

Cables in Conduits*

20.

Listing of 63 Conduit Sleeves and Their Respectiv.e Ouantities. of Cables and Remarks. *....

2L

32. Conduit Sle~ves *containing Power Cables for Analysis a~d _..

Their Respective.'FZ' Number ** ~...., . 22.. *Listing of Derated Ampa_city Values and Perce~t of FLC for *. *

. Cables in Cbnduit Sleeves.*

I* 23.'.. Listing of 1 *19 Openings a~d.Their Respective Ouantiti~s. of Cables and R*eniarks ~

.. 24.. 7 4-Openings Containing Powe~ Cables for Analysis and Their. -

Respective 'FZ' _Number~- . :1 .. 25.. Listing of Cerated Am.pacityVaiues and.Percent of FLC for:

- :,,Cables in Opening~

. 26~ *

S_upporting~bocume~tatio_n-. Requi*r~d for the_' Dev~lopment of Load

...

Gurrents *for Power Capies in Firestops

~.._,

* * * *
27. _
Listing of P.owe*r. Cables and their FLC *

--.'* *. 28. _::* ~'l'ettiodo.io9v' for the De~~lopmerit <>>f Heat Transfer Model for:_::.*.

.* Cables i_n_. Tray.~_:_~,.~. * * -:. * * *

... ~ -.~.. _*. 1.-*. -~:-. -,... ~ ~-,.~ *,,.: " "'".... ;. ..*. *... ;.-29. *.. Supportin~r Documentaii~n Required for the *Development of the *

* \\**

He.at Tral)~fer Mode.I for Cables in ~ray, * * :

_:_*'.*.*:.-..-*:~o.:.. :*1"n_dJstr\\t:b~*cu~~~t~:ti~D~.~f-~A~pacity values*;:-~_::'*:_,,.--....__.'*.*_*._,:_.*.--*~.-

-~_-.*"* ~-.. ... -'31. *. ~ethQdoiogy for Deter~ining Anipacity De~ati~~'**~a*c~ors . 32.. *. *summar"V of Conduits,* Conduit Sleeves and Openings with::* Loading Greater Than the Cerated Ampacity... *.

.*. 33.

IEEE.Papers 94* WM100-8 PWRD and 96 WM-209~*7-PWRD::* * *.. ~ " ._ *-: -~ . ~.. ~... ;;-

*r.

.. /,_\\ ~-....;---....m..;,.....-.. ______..;,.. ____....,, ___............ _______ _...

~'

~;:-*. :

"/,

'*T PALISADES* NUCLEAR PLANT ANALYSIS CONTINUATION SHEET*

x.

ATTACHMENTS (continued)

34.

Methodology for Determining the Conductor:. Temperature of

Cables in Conduit* Routing Points.

35. **Supporting Documentation for Atta~hment 34 '*

. '.*. 36. *.* Analysis of Cable Trays With. T~mperaiure Above 75°C. EA-. ELEC-AMP-041. Sheet 1 9

Rev #. __.1 __

Reference/Comment. {>7. *: Suppcirtin~ boc:umentatfori _For Insulation Rating of Power Ccibles -~,. .4,, .. : : ~* ~*-' ;; ~.. N' ',,*~ '. --~.

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.,. "..,....* ~...:~ '-*- *:*"t,. ... -.-~~.. * ..... ~ ~. ..:1 -';_or** 1:.'..

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

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.~_-J. \\

~... ~ .. *., :,L :::.. EA-ELEC-~MP-041..

Attachment 8.
- - rage 1of43'" '1 _~*

The. purpose of this attachment. is to develop temperature facfor:S and ampacity

multiplierS _for fire stops based oh the tests that were conducted-at Palisades**'.
during Marc.h"l 997. _:

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

~.'.

-~. -~-... '*. _,,.7 ** ~.. -*~.--.--. \\ . 'f" ..l ':.*:,. * --~."* *- !\\_,,-: *.** .<~.- ~. 1.. -

I,,****.;

1.*;*..,, ~.". .,; * ':~- .v '* - *......,.\\' .. *..... -~.-:*.. ~ ~.(. *.

. ~.

, Prepareqby:f~~~Z/Ay Reviewed by: AMP @. /J.. 3/i1 / /q q J *. * * ., **r ~ . ~ -... :" .. ~. . '~

.L -.L.:::.i* EA-ELEC;.AMP-041

Page 2 of _..,.--'--_

Purpose The purp~e of this calculati~n section is to determine temperature factors and ampacity multipliers for . the Ka~wool fire stops at Palisades based on the test~ that were carried out in March 1997. The . : measuremer1tswe~e made in accordance with the "Fire-Stop Derating Test Guideline", which.is. included in. Attachment 9. The selection.of the measurement locations was made to include the bounding.cases in the test mea5ur:ements. -

.. *Methodology

. Temperature ineas~re~ents ~ere taken on the raceways passing ;hrough seven fire st~ps at Palisades * . " during the normal full load_ operation of the plant..An of the fire stops were constructed of Kaowool *.

ceramic fibe~.-The fire stops co~tained v:irioliS combin~tions of cabl~ trays; conduits, and sleeves. The.... *
*.. fire stops were irutalled in. both 12 inch and 24 inch *thick.walls. As.a part of the tests~ th~ Kaowo~l fire *- _.

.-stops were opened and thermocouples were hi.stalled o~ the cables and tray of cable trays at interv~k of ' appro~imately 2 inches ~d *on the each 'quadt:titt: of the outer surf~ce. of conduits in the center of the fire st~ps: A..similar nuriiber of th~rmocoupl~ ~ere. iilstalled outside. of the fire stop tp measure the. tempe;.;iture of ih~ race ~ay in free air. Additional thermocouples* were installed to mea5ur~ the ambient -~ *.., . - l .* temperatu~e _in th~ ~est uea o'n the s~e side of the wall in which the:temperat~re*of the race way in.. . free air -was ~easured. In th~ c~es of Fire Stops FZQ179 and FZ0553 additional thermocouples were ." installelto measure t~e ambient te~perature, on the _opposite side ofthe wall: After the inst~ll~tion of -... . the thermocouples, the fire* stops were restored to their condition before.the test. Temperature.

~.

' measurements were taken ~t. inter'.vals. of 10-15 minutes ovel_" a period 'of at ieast ~o. ho~rs w_hen the -.'~ -~'. . uriit ~as operatirig ai: _nor~al full'load output~ The details.of the.teSt procedure are de5cribe~ _in * :.: *. . Attachment 7~ The da~a *t~at were coll~ted dudng the tests is shown in Tables 1-8."Info~tio~ on the... * - * -~: *-

. *wait' cbnstruction ~s given. in Tabie 9., * : * : * : *.

. ~ .... *~ . *,The collect~d dat~ ~ere._exami'ned, aµd *a* suitabl~ measureme~t. time period was select'ed for ~~h race...*.....,;-~ * * *.

*way.. The rule* for selec,:ting the _i:neasur~me~t *to be used for ~alculating th~ temp~rature factor wa.5 to

.. *. *" -~ .

s~lect *the ~easuie1?1erit that had the largest difference bet-ween the temperature measured in the r.niddle.*...
,_ * :J

...,... **: of the V,;atr.Uid th~ teirtpeiature measiired outside of the wall.Since the ambi~nt tempei:atut~ remain. ~-;_.. *. ~* re.latively. const~t dun~g the test penod, this mea.Surement vtill resl,llt in _the largest temperature factor. out of the ~~u'rements in' a, given.test;...... . :. " ~* : '. -~

.. The._teriipe~fu;e*ri:~*of.the.surf~c~ of,the ra~eway ou~ide the fire stop is :calcul~ted dir:~ly fro~ the

.-~.:

* ::
measured values as the te~perat\\ire difference between the raceway t~mpe~tuie outside _of the wall and" *.
the ambient tem'perature. :fu several cases, the ambient tempe~t~eS ~n the opposite sides of ~ fire stop:....
' *",.f

.. w~ significantly. diffe.rent. Therefore; the reference. temperature for* calculating the temperature rise * ... *., ~.

inside the fire* stop was taken to be the average of the ambient temperatures on both sides of the wall. *.

This average ~bient temperature was calculated in one of f~ur ways: ~ ~*. ....... :. ~. .. J ~. **. .~ -

e.:

EA-ELE,C-AMP-041 : Pagel of __ _ - 1. _-- Ambient teinperature mea.surem~~ts wer~ made on both_ sides of the wall for *Fire Stop -* * - FZ0179 and these me~urements were used directly to calculate the average *a:mbierit tempetatu.re.

2.

. Thenieasured temperature for Ca5e FZ013l of _Conduit X1S68 inside the wall_ represents the average ambient temperature on bot~ sideS of the wall. . The average ambient temperature.w~ calculated by ~ing data collected i~ more than* **.

-one tesdor Fire Stops FZ0134 and the conduits' in FZ0138~ The.temperature on one *.

-side 'of the w~ll,,;as measur~d in:o~e test, md the other test§rovided chta fo~ the ~ther- -,. side ~fthe wall.* .. -*::**-\\ 4: *

The average ambient ~emperature for_.the cable traysin FZ0138 wa5 ~alcul~ted by. _ -

a5suming thanhe ratio~ of the thermal resi~tances between: each of two cable trays;and --.. _-_".*

- ambient inside and__outside of the fire stop ~aS the.s~e and then solving simultam~~Us e9uation5 to deterqlin~ the ambient temperat11re to be used in the walL .-_ -. - -The temperature fact~r: thatis desired is th~-~tio of the temperiiture rise5 of the cable cond~tor-outside

and inside ilie fir~ stop,. Hqw~ve_r, the cable *conductors are n~t accessibl~ for meas~re.me~t i~ an --~-

operating power pl~t. Th~~efore~ the temperature rise of an acces5ihle surface of each rac~ay wa5.

meaiu~ed. _The tempetiture rise of the parts of the thermal ~ir~it be~eeri the* poin~ where. the * * ~. --

- - mea.surements took place and' the conductor mwt be added to the 'measured temperattire rises inside' and: --~. outside of.the cable tray to calculate the desir~d t~mperature factor.. Detailed h~t*t~fer C,:1culations have beeh ~ade'in calculations EA-ELECAMP-034 and EA-ELEC '. AMP-032. Th~e calculations determine ~he temp~rature ~f the c~nducto*r:{hot laye~-temperature) and

' /.... :*.
~

. -.. ?. ~*- ' the eable mass surface i~inperattire (where the temperature ~easurements were made) for a given,. '. " ~bient and'loaqing condition. As_sumirig that the therrlial resi~tances betwee~ the surface of the cable. ~*' "mass in ope~: air and ambient arid betWeeri.the cable c~nducto~'.artd the surlace of the cable mass:aie' ' - .

COnSt~t, th~ temperatUre, drop between the.cable mass surfac~ anqtbe cabl_e*cond~~OrS tan b~.

-'. estimat~ as' follows: '

- . :\\.;:.; *

~ 'f; * ~. . -~-:.. :~*. 'r:...".

..*~.

- ** ~ ~ t --~ .~... 1. or*

,*" *.~:

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

~. *..

. *.' ~

~.** . *I EA-ELEC-AMP-041 .

Page 4 of ----'-

where:.Trac co~~ is th~ es~.imated cable conductor temperatu~e ... T rac~i~-~"""" is the meas~red c~ble surface t_emper.m.ire. T~cco~r i~ the.cable conductor temperature take~ fro_m the calc~lation..

T ~c~rf..,.,* is the cable Ill:~s-surface temperature taken from t.he calculation.

Tc:aic ambient is the ambie~t teniperature used in th_e calcula~i.on ~, *:*. T.his method of ~alculating the temperatu;e, drop through the cond~ctor,inas:s is used for bo~h cable

.. tni:ys arid sleeves... *. :.

. -A similar approach is used for conduits where the temperatures are mea5ured on the o~ter:sudace pf the' . conduit. The condition _where a single pp~er.cable is installed in a 3" trade size c~nduit ~ith sufficient..

unloaded or contr9l and instrumentation cables to achieve 40% fill is -considered as being representative * - *. :.

... -.. of all conduits. The det~fod calcul~~ion for this condition* is taken. from pages 5...: 13. of Attachment* H ~{.. _..

*.
C~lculatio~ EA-ELECAMP-039.

. : '~ -Since the temperature range of the m~~~men~ i~ quite small, errors_ due ~o the *d~viatiori o{t~e.. thermocouple characteristics_ froni the ide:µ thermocouple-characteristi~ are apected to be quit~. unifor~1{. Since th,e differences in ~o sets ofthermocouple mea'sur~ments are being_taken,* much of this.:*

error will cancel ouLAlso, the absolute t~mpei-anires ~e lo~;suggesting that there is significantly mc>'re.**. *
m~in in the aciual design than has been indicated by previow calculations. The.r:efore, no special.

atfowanc'e was *m:ade f~r the measurement tolerance ~f the thermocouples. ~ .. _. -Ampacit}r m~ltipiiers for. the fire stops -;,r_e: derived f~om the teniperai_ure factors. The ~pacity- ,\\ v

multiplier for_ a fi~e stop iS defined as:, -

~

~,'

i

- -t*:*

,,.. ~* " ' ,.i* *:. ,_*1. ~

~* ' *. **: .. -:,_:'.; 'f u!t.,,., = -

'*:I Tot---T~* Tr-'~ T,,mhit!nl ... ~ ' ~;

--~... '...

.. ~. '1

- ~
.i

. *~..,.. . ~ :

'w.,~--.

~ ** :.

EA-ELEC~AMP-041. Pag~ 5.of __ _ Since the concept. ~fan ~pa:city multiplie~ implie5 the assumptiort of a co~tant thermal resistance between the cable conductors.tiid ambient inside and outside of the firenop; the definition of th~ alnpacity ~ultiplier can be restated: >..,. ;~ Mult,,~. = T test ~~T.mbient TrAuJ:T~ k*(T *-T *. ) opm'* Ambient. k*(T -T *. ) "

. rAUJ Ambient.

Ttest~-T,,~-

Ttest~~T~

1 .*T'4t~-TA~ . T... * -T:_~'-"-~ . test opm... /'"""""~ -~** . ~-~:..

i

~: -~ ' . where~. T~, 0~;is the _coriductonemperature.~nder_test coiu:litio1U with the rac~ay inop~n air

. **.
t~*v~~-,;*{h~ <:ond~ctor.t.emperauiie insid~ ~he wall und~n~t*-~onditi~ns * :;;.':,-

-~.1- .. * *; * ;;r '-1** I.'* .-'j.-~

. "'-. ~.:*.

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

~

_....f'.*

_* -_ --~

. -~* :.. .. ~- :*. . *\\, '-d

f;

'*i..... ~ \\

.\\ Input Data EA-ELEC".'AMP-041 Page6of __ The foilo~ing calcul~ted cable tray t~inpei:;itures were used: Cable Tray XPOlO XK016 .. *XH021 -... TK600 Ambient Calculated*

CableMas5 T emperatur~
used in
Calculation*

(OC) 40.**. '. . 40. : Surface Temperature (oc)_. . 60.697. 53.474 CalCulated

Cable Sourc~ Ref~renc¢ * ~--

(data incl~ded in Att;ic~erit 7 Of.* Co~_ductor. ~his EA). * .Temperature* '(oC) 77.97 EA-ELECAMP-034, pp.1536-:1557 * . 62.238 EA-ELEC"'AMP-03f,.pp 683-704..

40.

- 50.023... * *

59.336
EA~ELEC-AMP-032, pp 490-:491
~:

62.98l *.. ..40~..

EA~ELEC-AMP-032; pp 350-35i 76.936
: _ *..
The _data from\\he test ~easurement5 are the following. The meas~rements that are to be wed in the.. :

r; ~.. calculatfon:s are shown with.an asteris~. ** ..... *~...

~*

. *i.' '.. ~... . '.. ~ -' ~.. -. '. ~-*-. .... :::'7"'

. =--.'_;

... ' ~ . ): .~* ,,.* *j,. . -~. -. ~ '. ~.... ~.. J .. ~*;. *.... *.* ~)~~ *,. :* M.C ~.., ~. " .. : -~ ~ ~... *

. l.. **..F

.f ...J,

Clo

.* ***f ~

EA-ELEC-AMP-041

Attachment:

8

- - ' **.... ***Page 31 *c;t ** **

.. *~. FZ0134, Cable Tray XP010 The test data for FZ0134 includes ambient temperature data for Room 106." Ambient temperatu(e. ...

data for the room on the opposite side of. the fire stop (Room 116A) is available from the test of.Fire

. Stop FZ0138a. Therefore, the ambient tempera,ture in tt1e \\\\fall will ~ taken as the average of the.

* *..
ambi~nt temperatures at FZ0134 and FZ0138a.

,/' .* -. First; the temperature" drop through the cable" ma5s must be cafoulated. From Reference 1:.. : catc..\\m.bTemp :~ 40. ~c .... *'.* Ambient temper~ture used" in 6alculation

ca}cSWfaceTemp : :: 60.697* °C. Calculated surface temperature of the cable. ma~*.~*:.

. *. calcCondTemp :=77.97*°C

The. teSt data are as follows:

Calculated conductor temperature ~ '

. t~ideTemp :=30.28-~C.*
Meas~red temperature In.side wail.*

Measured ambient temperature *. * . :. ~?i~tt~p

~ 27:90,~c,...

. testOutsideTemp :=28.71'*°C (:

. *.
oppositeAm.bientTemp :=.30.35*°C Measured temperarure.outside.of wail * :...

Ambient temperature on the OPPosite side of _the wa*ll ~~bientT~p*: = t~bientTemp +* oppps~reAlnbientTemp w~bi~tT~p *~ 29_ 125.o:c *

2.-...

~T

'.:= ( calcC~~dTemp-c~cAmbTemp *_ i). -(~OtitsideTen;p-t~bi~tTetnp)*_:.. '* <..
*. ~ass.

calcSurfaceTemp - _calcAmbTm.ip 7 . -~. --~.. -*.,' ~ *.._ ~ *. ! I . ~-- AT ~~tm~ :=~Tm~~ (testOu~ideTem.p~ ~bientTemp).*. *.. _.AT 0~~id~ =l.486.* 0c'** *:-._ AT.insi~~~A~*m&sS.+(testinsideT~p-w~bientTemp): ' >. ATfuside=l.831~~c.*: ,,. *_:: ~~~~eF~~*:*~:.AT~ide**:::*.>:.tem~aturefactor=LiJ2' ~........ '.* < :.. *,. ATuts*de* -.-:*,. 0 I ~** *

Fzo138 and Fz-f)13sA * :,.
. i

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

- - -.. ~

0 0 (. ' A ~ ;< - ~*,, \\ *'

.,* -.'.*.. Th~se da~*~on~ ~f two ~eparate m~~s~rements,* o~e for cond~~ a:nd ~~~iher for'cabie,*tr~ys... *:

, The ambient te:mperatures were*,ne_asured on opposite sides. of the wall for each test. Therefore', '

.~: '*. the average ambient temperature; usect to calculate the temperatur.e rise in the wall will bee * * *: :.. * - :

, -.. determined by averaging the ambient temperatures from the tWo tests, TI.le test data for R,oor:n 125 was taken on March 11 and that for.Room 116a was taken on March to. However; additional data.. .... taken on March 8 in Room 11 aa for FZ0003 and FZ0132 indicates that the ambienttemperature in

.. Room116alsqultestable; *,***::.*-.: ____

The estimate of the te~perature drop between the surface of th~ conduit am~ the conductors wil"i be. based on the case for one power cable in a 3 Inch trade size conduit given in Attachment 31 of this EA. The following. vaiues are taken*from the calculation:.:.. *.: *...-. "~'.....

. <~ ~A*

~

EA-ELEC-AMP-041 '

- - 1 *. :_

, P.a9£r;32 &t * *'*... *'.:, *.>'. . calcAmbientT eriip : ~ 40* 0_c . A~bient temperatUre used* in the c~l~ula~on.. calcSurfaceTemp*:= 54.i61*°C

Calculated conduit surface temperature calcConductorTemp :;.90.04J*°C Calculated conducto(temperature
- .conduitRatio := calcConductorTemp- ~alcAmbi~tt~p eonduitRati~ = J..534 calcSurfaceTemp - calcAm~ientT~p

.. Average ambient temperature used for wall calculations FZOIJ8AnibientTem~ := 24.50*°C

Ambient temperature from conduit testS FZO 138aAmbientTemp : = 30.5*

0c . Ambienttemperature from cable ~ay tests wallAmbieiitTemp := FZ013S~bientTemp+ ~Zol38aAmbimtT~p ~altAm~i~t~~p ~27.~.o~,: 2.*.. .. -. FZ0138, Conduit X1706. * * ** The tesf data are as follows:

testinsideTenip :=27._1s: 0c*,.-..

'r* :.'. :.*,*.' ** .. * { ~*. . '.. ~... .. testOUSideAmbient : = 24.~5* °C. testOutsideiemp :=24.18*°C.* .14,* ~,. ~... In this case there is no temperature rise Inside or outside of the wall from the respeCtive ambientS~ This in.dicates that the loading of the cables In the conduit is negligible. Therefore;* it is not possible . to calculate a te_mpera~re fa~or for this conduit: .FZ0138, Co~duit X17o9. -~*.. - The test data are as. folloW8: * * . lestmsideT~p :~ 2s.1s.~c... -~. ~. ~OlitsicleAin\\)lent : = 24.45* °C testoti..;;ideT~p :*:;:2s.25. 0c**:y.. '\\ ;.* ;' ; ~ *... -~- *:* '* J,:: * " * :: r I, *.- ,t*' * ... Then the.temperature drop betwe1;tn th~ conduit ~ufface and tt1e conduCtors is: ~... ~.. ~

~.

. -~ -. - AT ~Cond :=--t~dwtR~~.:.. t)-(~OutsideTemp - testOutsideAmbi~t)A! inCond'".' 2.02? *°C. ..,. AT ou~de- :=*AT ~Co~d*~ (~~utsi~t~p-testOutside~bi~t) AT ou~ic1e ~ 2.~27**~c

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

_AT ~cfu, := ( AT.intond ~ ~&T~p) ~_walli\\mbientTemp * * :: ~T irisi~ =_3.2~7 *0~... . ~ ~: temperatureF actor = 1.159

r.

.. ~:

- ~*

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

*.. ~.

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

1.

-~

. ----~--*

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

..... ~ ;. ; : EA-ELEC-AMP-041 ,::. ;.\\ttachment* 8* ;:', :::: Page 33. of __ FZ0138a, Cable TraySXK016 andXH021 First, estimate the temperature drop in the cable mass of XKOt6. calcAmbTemp :=40.~C

Ambient temperature used in*calculation.

calcSwfaceTemp := 53.474*°C Calculated surface temperature of the cable mass '

calcCoodTemp := 62.238*

0<: Calc~lated conduct~r temper~ture... The test data for XK016 are as fol.lows:

.*
testlosideXKO 16 : =.31.05: °C *. Measu~ed temperatUre inside wall testOutside~bient : ~* 30:50* ~c. Measured ambient temperatur~ * *
tesio~tsidexK016 :~ 3(2i- 0 c; **Measured tem~erature.ou~e of waif *

"~..

~-
~
I-,

.. ~ Ar ~~O 1 ~ -~:: *(*.. cai~CondTenip:. ~alcAmbTemji. ~.1) *(t~Ou~tdexk~ i 6 - t~Ou~ideAmbient},.. : . '. ~..... . calcSUrfaceTemp - c:aicAmbTemp.....

: Flfst, estimat~ the temperature drop in the cable ma~ of XH02t.* * : :

.. *calcAmbTemp :=46.0c.. Ambienttemperature used.in calculation,*.* ... * ~ailcSW.-C~Temp"°:.= 50.023~ °C Calculat~d surface temper~ture of the cable mass;*"...

*.. ~;u~t~ndT~p ~= 59.336*°C * :* Calculated conductorterriperatur~.' *..

Th~ test d*ata are*~~ foli~ws: ',. ".. : .;\\ .** teStlllsideXH02\\:'::=*34.48*°C * *** Measured temperature inside 0 wall,.. -~. ... jestOutsideXH02 i~*:';,, ~~.00- °C~:. Me~~ured temp~.:ature olitside of wal*~. _:_::... *. ~)-

_ ':d;: ~

0

': :=.. ( -~~c~oodTeinp- ~al~AmbT~p _ 1)*(test0utSickXH02.i ~*testOu~de~bi~~) **. :. *... _

J.11 °2 ~ calcSUrfaceTemp - calcAmbT emp ~.- .:~*:,... ' :. ~ *. ... The concept of derating and temper~ture factors imply that the ratio of the 'temperature rise inside the.

.
fire stop to the temperature rise in open air should be constanHor eabie-trayS inStalled in the same

... *.. *fire stop~. )herefore~ the. equations descnbin'g this proportionality can be solved simultaneously to_.* "*:. ' obtain the ambient temperature inside the fire stop and the temperature factor for the surface ~. " temperatures. Therefore:

~<'

~*

. '-J,. .~:

C* -.,
- ~
*. r' '.'

~*.

\\

~-*. ' EA-ELEC-AMP-041' A~ta9h.mentJ~.,.,:',

Page 34 of_. __

AT ~utsidexKO j 6 :: = testOutSide){l(O 16c.- tCst~uts.ideAfil6icm,t: AToutsideXKO 16 = 0. y1 *°C . AT o~tsideXHOl I : = teSt0utsi~xH02 l. - 't~OutsidCAnlbien(

~ :

hitial guess for ambient temperature inside wall.. *..

.sF..:=2,*.

Initial gu.ess 'Ot temperature factor for surface te.mperatures °' .* ~.. given *.

*:M.*
i.".* * '*

.. 'F

~ideXKOl6 -.T ~=SF*AT ~utsidexKOl6 ~:

~.. ~.

- .t

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

. *~.

~i.deXH021_*-: r ~=SF*AT 0~tsi~X1Io21 -{". -. *,

( :: *:-V~bient **. ;) *::find(T *.. :SF)

~aceTelJlpFacf... * * . ~~. *. .. w811Ambient = J0.177 *°C. ~. . ** suifaeeTempFaCt =L229 *.* *

~.

A'f_ni~o 16. = OA62.oq: AT ma'sSxlio21 ;,.:3.252~ 0~~>:". . 1:* . ~._ ~ :... .. '**,...... ~..... ,... ~ *,. "i \\ , ' AT ~b16 + testlnsideXK:016-_ w811Anlble1i...

.. temperanifeFactOrXKO i 6 i :*

_i\\T ~016 ": AToUtsid.exKOl6 ... **r-:.

< ~. ** '

... *:~" . ~.. : ~:.-v-. >;(. AT'~~ll + ~i.dexH02.I _: wallAinl?ient temperatureFactorXH021 :*= ATinasSXH02l + AT ~utSideXHQ2 l. !,.. ~-. *--.~~

f.

tempera~Facior)(HO~ l 7 I. I J 9

.~*..

:~.
~ :. :

.* ~~.*..... l ..... *~. !:.*t ~ . t.

, '. *-'.~.

. ~.:.. :

( ~... -. "

1'*.* *** . ~.'". ~-* '-... -., *.. l

~.

...,.*.1,.,* \\:*.* ,"A,*.' ~.... '~..

~.

. *~. "*. ';,*i* "'°:-:,:.** '1.* .. *. *'+. 1:*

FZ0184. ~ ~ The test data for Conduit T2069 are: .

testlnsideTemp :=40.58*.°C

. testOutsideTemp :=44.13*°C .. *...

testAIDbientTemp :_= 43. 10* °C r

.. FZ0184, ConduitT2063 The test data a.re as follows: testinsideT~p :=~:25. 0c.*.,.** .. _: testOu~deAmbient: = 43. 70* 0.c.. testbutsideT~p: ::::44.5s:0c. ).. *.

~ -.

-~ '

.. i EA-EtEC-AMP-041

. P~Q!3 ~.5::of ____..,. ... *.~ .\\ :: - \\ ~.* - ~ .. The data fOr the two raceW~Ys (T2069 and'. T2063) are inconSiste~t Al~. ~earby' hot pipes may *. .. have affected the measurements.. Therefore, the test results for. thiS' fire stop will not be. used to. \\. *.. - *,. . calcul~t~ tef1lperature.factors: FZ0003. ** ' *: \\ The following. da~ were obtalned for Conduit X1614 ~...

t.ideTemp :~31.43*°C.:. *

~, . ~OutsideTemp :;;30.23*°C., ', ~ ---.*-:~--*~... :.: __ --*7*::..

* *.*. testAmbientTemp := 30.3s. 0c.*.*
.-, **t The foU~wing data we.re obtained *for Conduit X1615:. **

.:* ~ideremp '.= 30.43. 0c=. ~.~,.. ~.->.. *:-::: **-**** ~.-

~

testOutsideTemp :~ 30.75*°C * *
_* '* *

.., <:.. *.

testA1Dbieri1re1ni):;;:30:3s. 0c)::::: _.*.*
~-****
- - .. t-_*_.::

:;_.-~i*>:~~~*... *~**_'.-* -*-.:.. ~ . : r

.- ~* i.

,*.*-:*- >-:.:.,. :< Fire stop Fzoori3, conduit'x1s9o *:..* *

-:.* *~* *The following test data *were.obtained:*.~

testfusideTemp :.= 3 t.2s: 0_C... . ~.

* *. testOutsideAmbient :; 3o:is. 0c *
* *. testOutsitieT~p ::=31.83*°C

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

- r*.*.

'.... ~ 7 _J, ,....... ~.:...... ... ~.. .... /... ~ ' ~:.. '.*

1 ** '!

*. _:. ;".---*--:, *-*.. *I

.-"".. ~

"-*\\

-. : -~ '*

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

. -~*

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

.*.;. :.. ~

I ~

. I

.** *i

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

t_. ~ *...... Fir~ Stop FZ0003, Conduit X16.13

The following test~data wenfobta.ined:.

testlnsideTemp_ : = 30.15* °C iestOutsideAmhierit *:= 30.35* °C

.
te8tou~ideTemJ?.:=3i.3s- 0c i'

EA-ELEC-AMP-041 Attachm~nt 8: Page 36 o.f _* _* -.

'The. t~mper~tu~e rise~ butside of the w~ll~re lov/in *~ii c~se~. T~o c~-~d~its sh~w a te~per;tu~~ ris~

. -~utside of the wall, one conduit has a surface temperature less 'than the ambient temperature outsid~ . of the wall, and one coriduit outside of the. wall is atambient temperature. Two conduits have .~... temperatures inside the wall that are higher than the temperatures outSide the wall; t~e opposite is

true for the* other two conduits. The data for this fire stop is too inconsistent to allow the evaluation of.

tl!e.* temperatu.re fa. ct __ *o..s;:. * ' ~

~*.

/*

- .*.{.

~..

J**

~.., ~.* ~ ~ :.

\\.
,~,JI. *:,

. -'.' ~ . ~--... -~." .* ~.--... ir;.*1 . ~*- . :;_,_ -~-.. ".-~ ..... ~ ~ ';,... ~.;:

- .. \\*

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

.... ~
. -~.

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

.:i*

. ~.. '

~.

. FZ0132 EA-ELEC-:AMP-041 *

.*.::: :::;**'**;: Page*3t of The wall ambient temperature is based on the data for Conduit X1568. The measured temperature .: outside of the fire stop is siightly less than the ambient temperature measured nearby. The cable inside this conduit was off during the test. The measured temperature of Conduit X1568 inSide the wall is, ~erefore, representative o~ the average ambi_ent temperature on both sides of the wall.

-
wallAmbientT~p :~ 28.40: ~c.
Fire stop FZQ132, CoriduitX1567 *

.**The following test data were obtained: testinsideTemp :=.36.63* 0c. *. testOu~ideAmblent :~ J0.35*°C * .,, testOutsideTemp :~l4:2J; °C* ********-,.:.- ** - ~. Then the temperature. dro*p between the.conduit surface and th*e conductors is:*

AT lnc~~d : = ( condtiitRatio ~ :J ):.( testOYtsi.T emp *:... testOutsi4CArtibient).. --~*-*AT~-* * *
~ ~*831.oc;
.,.:: *., *., * -: *., *..- *,. :. * >. inCond -

A.T ou~ide :=AT incond :. (test_ QutsideTemp ~- t~Outside~bient)

.-:_AT ~utside ='13.71 l*°C.
. AT**. *de* :~(AT*. c* **d***+* testlnmdeTeinp):...: wallAmbientT~P*---
.. *. *~*.*..
1DS1 m on_.
.. -*.
ATinside::: 18.061 *°C :'

'I< ** ~*..

AT insiclC *..

' temperal\\µ'eF actor : = * .

temperatureF actor = 1.317
.. AT outside. *,,.

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

.~.

. <.l *-.1>> '~. - ~._.-.....

". /-..

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

- - i..

. ( ~* : '. ;'* :. - ---~.. :__ - - ~. .. ~

~ r *

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

.. : ~

- ".1 ~. ~ '. .-... ~-=* .... ~***. .. ~.. -.. -.'1 ~* ~~ ~

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

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

.. EA-ELEC-AMP'."041 * * .. ~.. *: . Pag'e 3a'-Ot _. _ FZ0179, Cable rray T!<600 Temperature. measurements were taken on both sides of the wall. The average temperature (used as

the an:ibient temJ:>erature in the wall) is taken directly from the spread sheet.The following data were obtained:.
~

testlnsideT emp : = 27.Si-°C

te'stO\\ltsideTemp := 26.92* °C "testAmbientTemp := 24:10.

0c

wallAnibientT~p ::: 25.45*

0c: . First, estimate the teryiperature qrop in the cable maSs-.* caicAmbT~p*: = 40. 0 c _ Ambient temperatlire used in calculation

- - "\\..

chlcS~~J:enip.:. ; 62.983* °C *caicuiated surface temperature of the cable. ")ass_.. -. '~. *... - ~. . calcCondTemp :=76.936*°C

Calculated conduCtortemperature

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

:= (* calcCondTemp.~ CalcAmbTemp _ ~):(~O~tsi~Temp--testAmb*i~t;emp'>

m~ calcSwfaceTemp - calcAnibTemp

AT

= 1.348 ~°C mass "- AT 0~ide :~At~+ (testOutsideT~p-tes!Amb~entTemp) * -~i"outsidC =~:S68* 0G* - 'ATinside::.=AT ~ + (t~ideTemp:--. wallAmbi~tTemp)-- >:.. -AT ~ide =3.?,18~ 0~<.:: * ~-

- .. -,.... AT iDSide. '.

tempei'll;tureF actor* : = . :* ~T ~utside tem~a~facto~:;: 1.042 * ..... )

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

~ *... .~ . _... :.-.} ~ :*. .* ~ :. - N ~. . ;r -.* ~ . ***:**,).:. _ _:\\ *~.

'~*. :.. :. _*

-*~*. **. '..

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

- .. -1::

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

:~'.... >. ::

~*-. .. ~. '

~'.!... * *.

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

EA-ELEC-AMP-04 t ,:\\. :.~:b~h,~ed:~ :~;' *'i. Fire Stop F0553, Cable Tray XP6_00 The test data are* as follows:* -coverTemp :=27.43*°C Surface temperature i.n cover_ed tray section .* co~erAmbienf:= 25.90*°C Ambientterliperature corresponding to surlace temperature in co~ered tray.

*
section openCoverAmbient : =*26: 1~*°C Ambient teniperatUre for open tray in tray cover test *
-* ope.!lCoverTenip := 21.90.'0c *
Surface tenipe.rature in operi tray for tray cover-test
wall~uifaceTemp.: ~ 27.33: °C Cable su.rfate temperature in~de the.flre* stop **..

. -'. wallRoomAmbient :; 25.95* °C. Ambi~nt tempera~re Iii the stair.Yell area for the fire stop test

. wall~blent :: 26.10~'0c. Ambient temperature opposite the-stair.Yell for the fire Stop test _*.

-.

o~Wa11!eniP.> 27.87*

0c., su.rface t~mpera~r~ in the open tray for the_ fire ~te>P test :. ~. -

-* ~

v.

The temperatU-re.iises are var/ ~*n:l.ai1:liie results-of this test are i~concluSiVe and are inc~nsistent.

_.

~ ~e th~rmal behavior Of cable_ trays with tightly fiitlnQ.covers and fire stoJ)s. _____ J __ : *:-*

---~-:.~ __ :_.-_~!.*. __ *:*---._.* *. ****-.*' -

.~ .:~ -. \\ ('

~...

~ '.

-~*...r

{

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

r

-~-:._......:_.:-=- - __. --~---.- : _-t -. '~. .. -~*..

~; -

..-~

-J

. **:, *.~. - ~: .L';.--f' .* ~ J ~--_ *: :c ~:~ ... *.:,-.. ~. :. ~. ; *:--;** ~.-... .* ~ -~ -.. '_i ~~.-

i*

'*f.

i,

~ l. '

I*.. *~

~ "1 ~ ', ~"*. '*,J_.;* .. :Jabie 92 Summary:of Ccilculatlon Results ~i c

I"

~'*

,_i'

~ :. I I " .. *~ "',. :*_,:'.; ~=-~;.'. Fire - Stop __ - FZOt34

,FZ0138

, I Raceway,*

). *:... *

". ~ J. '.*

.\\ ~ f,... XP010 X1706 ~ *.. ~-: *::... ' ' ~. ' ~' R2ceway*/ Wall, Opening l'~. ::.. ; *Thick~* Size .ness 2' ' t.>,**;. Conduit 1 ', 61-6* x g*.9* .. *,,_ \\*. *',.'* '.'r."*r_._' l \\' ~: ' :*::* ... r:-. ~.... -.

~:,<*.

.. ~~t ;/> f .. ( *, ***. **,., "*...... _~ I

~.;

Tein~' erature Factor. L23 .*s .-Anibient, 1'emP.:. erature' 27.90.°C 24.5~°C t;,. . * ~ *. Tem~ erature Outside Wall*. 28.71°C

I*'(

Tem~ .erature Inside Wall 30.28°.C 27.t8°C. _Effective Wall * *: AmbieD.~ - 29.12°c .'"t* EA-ELEC-AMP-041 Attachmen,8

page.40 of

Remarks-Test for FZ0138a used to -

estimate appropriate ambient temperature for wall. The results from FZ0003 and FZ0132.suggest that the temperature on the opposite, Side of tlie wall is relatively stable. Since the.conduit surface

temperature is less than the.

ambient temperature, it is mumed that the heat generation iriside tht? coriduit iS negligible. Therefore, no

m~ingful calculation of the temf)e~rure factor is possible.

There iu steam line.in the upper part of the opening. i **.. i*-;..

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

. ~

';i, .t. .\\ '*'..' ~.. ' :. *.: ~ *.

-~ > *.., *..

, :, ~*..
** r *

.. ~ :. '***C** ~ EA-ELEC-AMP-041 * *

Page 41 of __ _

.,,. r-~~~...;;..~.,....~~...... ~~~~-r~.....;.~...,...~~~~-'-...... ~~~--~ ...... ~---...... ~---'...,...~...... --~~--.~~~~.,....,...... ~---'~~~---~~~~~....;.., t*I.'

- r

~~." ' :. ~ I ' }'

., 'i

.i:

- ,* !*:1

~.'.

Fii-e Stop: X1709 XK.016 XH021 FZ0184.. T2069. T2063.

- \\.*.:

I....., t..

?.*

Racew.ir.; w~ apeiiing Temp-T~* :*';.. Thick-

Size

.erature . :.... *.;:'./~ ness'**. Factor " :.: :::~:.*:;.. *~:--*:" conduit . : ~... " Tray Sleeve* Sleeve

t,.

.2'.: Sleeves 1 *: ~ . -~*.. ~ .j 1.16 1.14 : . '. *~* . *..' ~'.'.. ... **;; '. ',,,* I' (.. '. { '.*:.'.~.. -": Ambient.

TemP:" *:*

erature* Temi)- -eriitw-e Outside Wall 3050°~.**

. 34.00°C 43.70°C H.S8°C J.
. *. ~.

.: :... ;~r-::.... ~*_j... :.. -... :-..,;::*:*, "*.\\* :,.~... : :* '. *'.: ~. Temp-erature Inside. Wall Effective*. Wall.. Ambient 3t.os0c* 30.1s0c J4A8°C 40.58.°C H.2s0c*

,?
'";°*;..

.. ~. .. \\:,. Remarks. j,..... ¥ Ambient temperature

calculating temperature rue in wall developed using cable.tray.
test (FZ0138a). The resulting *:
ambient' temperature (27.S0 C) gives reasonable agreement with the temperature_measured inside the wall for X1706 (27.18°C).

Ambient temperature for wall temperature rise determined

5ol~ing relationships for XK.016 and XH021 simultaneously.

Data for' the two raceways (f2069 and '.1'2063) are inconsistent. Also, nearby hot', pipe$ may have affected the measurementi. Therefore, the ** results from th:is test are *

re;ed:ed.

/..

. I,:' I~. '

- - - 1*

. ~ ** 1 \\' *.. *: .*. i '~.. .. ' '.t.*. *,,.,. - 1*.*: i

. ~..*

.:,{*'

~*;J

_.. :~- f

~...

1,, *' '.... *~. '- :.=. ; . :1: ,r' ~.*.*:... ... ~ ~...

i..**

~ '* J*:

- [,'.

\\..

.. -~*....,

f~ 1...

.".*)*

'). Fire. Stop .... f* FZo003 ... -:.~.

~.

.,.. *f ~* . ~-. Raceway-*. Raceway.*: TYPe :, '.;'*/: \\,: .Sleeve. ~

'1

~. Sleeve X1590 Sleeve X16lJ. Sleeve* ..i, . 'l ' - *,,*. ~. . ~..

, /
~

. Wall Thick-ness ~. 'I'{ . i:.' 0 ~ Size Sleeves**..

t.

,*i.*j . "~ ..-.*{. . Temp- *. * ~bient erature Temp-.. Factor.* Crature. . i Temi)..* eratiue Outside

wan 30.75°C 31.38°C

~ ;_.' ..~...

j, *. ;,,_;...... *: ..

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

EA-ELEC-AMP-041 Temp;'

erature: Inside wan* 31.43°(: 30.43°C 3t.2s0c 30.15°C

t.: *,.

Effective Wall Ambient.* Page42 of* Remarks. The temperature riSe outside of the wall are low*~~ cases~-* Two conduits show.a*. temperature.rise outside of the .wall, one conduit shows a temperature fall outside of the wall,.arid one conduit o~tside of the wall is at ambient tem~rature. Two conduits have temperatures inside the wall that are higher than outside the walI;* two conduits have temperatures inside the . wall that are lower than outside of the wall. The data for this fire stop is too*inconSistent to* allow evaluation of tefilperature. factors.* 1:'

(~ ~ Fire. . Stop_. FZ0132 ~* t .\\. ',*"... 1*:*, '}.*

?*

';c J4ceway,*,'. JUceway,. Wall rype"" Thick.*

ness *.**c:**

. *. / '.. . ~. Opening*.*.Temp-Size.. erature Factor I' *' ... Ambient Temp-. Crature' Temp-.*. erature Outside wan Temp-erature. Inside Wall* 28.4°C. . Effective* Wall Ainbient EA-ELEC-AMP-041 Page 43 of RemarkS* ~. .:.1 The t~tdata for Conduit X1568 was u:sed ~o determine the appropriate ambient ~mperature to be.used to calrulate the temperature rise inside the wall, since the cable in this conduit was not energized at the time of the test. '.i .... ~.

~ ' *..

.*1 . ~. : . 1: . ~. X1567 FZ0179 TK.600' FZ0553 XP600. ~ ',.~* Conduit . *~. Tray* Tray*

2*

... ~. 1*,_:." .'* j ** ~ ...... *~. ' )* ~ *;.,., * *f .. ~ . ~.. .:. ),. *. . r.*

. \\

" :.~. '.... i,: . ':'.~... .:::i :'::.. :j* } '

(

.. ;r.*. ";~:*:.: ;. ::.,: ~:\\.:.*>. :. -~- ~:> -< <* ~ ; :.:., J.i>:i1j:~::;*,.~~.~~~L,._~;:.~;. ~:,:. .::..~.. *.:: 1.32... 30.35°C * .. ~ '1.04 24.70°C 34.23°C. 36.63°C 26.92°C 27.82°C, 25.45°C: *..The t~mpera~re. rises for this: test are quite small. Therefore, the temperature factor c,alculated from this test has a ' high tolerance. *. 5'-0"x2'-8,"

25.95°C :

27.87~C 27.33°C 26:10°c* Temperature rises were very ~ ~ /. f ~ .*.. ~

~

I.... :*~:);(,',; *.* :.i.L*-* *~... ~..

.. *.** * " * ~*\\* {;<'...

~.

o* I ~'

small. The results are incondusive and are inconsistent with the anticipated thermal behavior of
eabl~ trays with tightly fitting, '

covers and fire stops.

( *;....

l ......:.... ~. I

':. -~

- summary and* Conclusions*

EA~ELEC-AMP-()41.

*Attachment 8 Page 44 of __

Iitformation on the teinperatur~ factors f~r cabl~ trays can be obtairied frqm the tests on Fire Stops. FZ0134, FZ0138a, and FZ0179. The te.mperature rise for the cable tray a5sociated with Fire Stop***. FZ0553 (XP600}.was small and the t~t results are inconclusive. Therefore, it is not possible to obtain

. reliable informa~ion fo~ calculating tempei:ature factors from the data for Fire Stop FZQ553.
fuformation.on.the temp~ratureJactor for cond~its can be obtained f~om the t~ts ort Fire Stops FZ0138..

and FZ0132. The tests on'conduit.sleeves did ~ot yield reliable data which could be used to calculate the . : tempet.iture faci:odor afire ~top. The temperature* f~ctor for conduit sleeves can be. co~idered_equal to that of cable trays. : * * * * ~*.... -\\. ~ The test data was obtained through fire stops in w~lls.. Reference 3 determ~nea"that the temperat~re ri~e.. * * . of a fire stop in a wall V{as 61°C;while the temperature rise in a similar penetration: mo~nted in a floor. 70

_,was. 70°(:. Therefore, the temperature factor for a floor fire stop is -

. times that of the corresponding:;* .. - *.. 61.. .. ~all fi~e stop. The_highest calctilated temperature f~tor f<?r ~c~ type of raceway a!ld wa1lfa~to~*~m be U:Sed. Therefore, the.,temperature factors thai: will be wed.els~here in the calculation *are: :.. wall ' 2' Thick 1' Thick

ca:bleTrays & Sleev~

1.14 Li3-Condwt: 1.16.. L32.* ~.* /.

The *c~rr~ponding ~paeity m~ltipiiers ~e::

}~.~- . *.*-\\,.:....

"~":.

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

, 1.:.. _

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

- 1 **

wa11 *

r Thick. 2' Thick 0.9_4'.

0.90 0.93. 0.87 ~:.. -, -~. Floot* 1* Thick

2' l'hick 1.31 1.41..

1.33 1.5i .~* Floor

1* Thick.-

2*. thick 0.87*.... 0.87 0.81.. : I ~... ~... ..~:...

~:

-.~.

.~"l, ... _.~- *{ i ~--_. -'.. ~ ... ~~ -*.' ~ I ~:*. ;. . _., ' ~. :::* >... >. ~...

.:.'*f*

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

-. -~ *>..

. '.. ~

.:r. i.. l.. i. EA-ELEC-AM P-041

Attachment 8....

Page 45 of 1= ' N A L References ~ ** 'I

2.

Attachment 5 ~of Palisades Calculati~n ~A~ELEC~AMP-034, Revision 0, "Anipacity i;:~aluation *. *...,
... for Cable Trays Containing the Power Cables.Identified in EA-ELEC-.t\\MP-028,' inhiated by R. *..
.*H~*rnand~ and technic.ally revi~ed by J... Nehis; ~d datedjanuary 21, l997.

Appendix A of Attachment 8 of Palisades Calculation EA-ELEC-AMP-OJ2, Revision 0, ." Ampacity Eyaiuati~nfor Open Air Cabre Trays with a P~rc~nt FiH Greater than 30% of the. . Useable.Cr~ Sectional Area", initiated by R. Bernand~ and, technically reviewed by J,

Nehls~ ~d dated.March 18,-1997.
3.

Brand Industri~l S~rvi~es, _Inc. (BISCO) 1976. "BISCO Ampacity Test Perfo~med*at P~rtland

. : Cement Ass~ciati9n;Test N.o. 9027-10~. Eik Grove Village~ nlinois: Br~d Ind\\lSirialService5,
Inc.

. c

~

.* ;~ i *** t....:.. * .. : ~- "

.. : ~ :
~...

.-...,t

~.

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

,}-'

-~* ~.. . *, ~: - '*.:. . ~ - :. ',/.. ~ :. ,.l ~:... ::

- - .=....

I ~. - *. -.. *: *~ .***t ... ~ ~ !..

,. T

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

- r.
*'<(**

';*{ ... \\:{ . *<... --~ . ~....*-:-

, ',*'{

". *~ ! :* .,. ~...

-.~*... _\\....... _:\\* '*' .. *-~. ~.\\ ~ > l., 7:* ~-.... *. 1* *

_:~:..;...

.. **~. ,\\* EA-ELEC-AMP-041 i,_i

i"...

: ..... ~..

ATIACH-MENT**2a

r

PAGE1 OF 34 METHODOLOGY FOR DEVELOPMENT OF

-HEAT TRANSFER MODEL . / FOR CABLES INTRA Y ., ~ ~.

\\:
~

' -c . '. ~. .~-... -.. . -~: .. i '-.*.. ~ .. :-~- -.. ": ;*~~..

*-":\\>>*

.- : r .~j::*

. - "?., ~

-'~

.(.

,.. ; <:r

~.;.*

!.=:*; EA-ELEC-AMP-041

ATTACHMENT 28 Page 2 of-_. __

.. ~..*

Calculatlon Methodology
_Tlie accepted method for e~aluating the ~pacity of cables in tray has been the.
StolPe Il1ethod(l). This method assumes that all cables in the.tray have equaf

. loading;In:actual power plant cable trays, the.currents of the various cables vary sigllificantly. Therefore, an evaluation of the ampacity based on the Stolpe method. for the mosf heavily loaded cable is overly conservative, g).veil the presence of a: h . sigiiificani nu_mber of lightly loaded cables.:* ~.

_ -Cables are installed. in the.cable tray in a' more or _le~s ran4om fashion.- While a _
group ofhea0].yloaded cables may run toget~er m.*one part of the tray,* they.will be'.

redistributed in tb.e tray in other locations_. Therefore, it is overly conservative to.. - \\' ~. ~-,.. - _place an heavily loaded cables. together in a compaet niaas. Reforelice 2 suggests a. _ * -.. _

. model arrangement that is less conser\\ratlve thari piacing all heavily loaded cables* *** _
. I together in a coxiipact in.ass, while providing a reasonable degree of conse:rvatism. * * *
- - J _y*

1 *.* The-"maximum telllper~tur~ ~f the cables ~- ~ cable tra~ iS c~~rilated by 'first:*.'. ::. :. :'.. _ ~----* ---~

. 1-. grouping the.cables in threelayers, namely~'"Hot", "Wmn"*an~ ~Cold" layers. ~e.* *..., :.

1 resulting grouped cable arrangement along with their respective acni31 load'..

-1. c\\irrents is used-to calcuiate the maximum temperature of the cable inass for the _.

* ~

I

above mentioned ~ree layers. After obtaining the maximum cable m~s *: _..
I' temperature using_the layered model, the diversity of the cable.loading-is tali<<?n into I account and the* temperature for the'Dl.OSt heavily loaded cable in.the*Hot" layeri~" '.

.°'; - I: estiinated ba5~d_on,its loading.... -.*:. _:_* -~--

'*;--:~

-**.The depth of fill for any tray is deteroiliied based on. the width of th~ tr~y and-th~* - total cross seetional area of the cable mass.. The available cable mass is divided into: . :~.. ~.. * . three diffe~ent categor1e~, namely~ "Hot", "Warm~, and -"Cold". .... :..., -- "~-.;*,: * '. ~ . *._ :.... * ~"' "'.' ~.... 'r* 0

- ,*"l'.

, _,f._... * ~ --~ -... - -~ '~. ~ -:.. -.: "... *_-._*-.~,'..- *- I*. * .. :: 7 Th~ "hot" c~blesai-e'put hi. the rienter of the cable tray, and wµi be 'called ihe hot layer". The "hot layer" is sandwiched between ihe "warm" cables.. These layers* are ~alled"warm layers".-The "hot layer". and "warm layers" aresandwiclie~between .... *. *:,~:';

... __ the_ "cold" ca~les. Th~se layers ~-e called "cold ~aye~s". This lay~~. arrangem~nt is... -. -..: . *. :.;

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

~*

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

EA-ELEC-AMP~41 . ATTACHMENT 28 Page_3 of __ _ shown in the-figure below. : -1

1 I..

I

_I.* . I- ~~~~~~~~~~~~~~~~Warm Layer Hot Layer,' ~~~~~~~~~~~~~~~~ W~Layer: 11111111111111111111111111111 Cold Layer ~ - ~* .~.. ~* *.. . '\\. ~ ~* . The above cable arrang~meilt is acceptable when the.re are large n~mber of "hoi . :' *. *cables, suc;h thafthe sum of the diameters of the "hot cables exceed the physical.,.. * : . * -'width of tlie tray. When there are a small number of "hoi cables, spreading the .hot *. -.. .layer" across tlie entire physical width of the cable tray results' in the area used _for-. heat dis.sipation beiri:g larger than the actUal area producing non conservative . : -.. _:. ~...... .. -resu.J.ts. Therefore, when there are slJialler. number of "hoi" cables only the hot spot.. : '.. _:....: part ofth.e cable tray_is model~d:The modeltray widthis calcul~ted*as:*.* W ~~ ~ t Dhot ~b~ :;_ *% Dep_th *of Fill.

r'

':I . ' wh~re, . )

- . **
Dhot;ab~;: Di~eter Qf hot cables *_ *
t

~1:- ~.. The.Y2 Depth of fill te~:a~oluits for fringing effects ofthe*heat tran~fer patli from.* . 'i

~..... **'..

. *:.: ~.. .. ~ -~ -.. ~. I tlie hot.cables to the surface of the cable* mass. * -*.. *_ ~ 1, :~. . In the model-tray all the "hot" ~ables.. are included.. lri aµdition, o*ne*"~~;, ~done -.__.: -.:... "cold" cable, etc. is incl~ded ~til the depth of till of the model cable* try is equal to* *

- the depth of fill of the physical tray.. The selection of the "wami" and "cold" cables is -.-

.... :: : performed using the following rules:. * ~." ~ r ~:.

.~ : **< ~.::: w arm~st.large cables are s~leeted 'first.

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

"_:--.*<.. :~)J::*>:c_~ldest*-~niall\\abh~s* ~e selected fu~t :,.

-~. .:, *- *._- Afte~ ht~~dfug the uhot" :--"warm~, and ~~old" cables if the-d~pt~ *,of fill is greater'" * *

** than the depth. of fill for the physical tray, the modertray width :iS adjusted to* *' *
achieve the s*ame depth of fill. * * *.
- ~

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

- - ~
.;.i:

~

) ~....... ~ .. :,~_7*..~.-_:

~. ~*. (! :.'.~! :::1 i.. L

i

i:~: J *~::i*

L :::i :/ :-::~

EA-ELEC-AMP-0.41.

ATTACHMENT 28.

Page 4 of __ _

Introduction t~* th*~ Mathcad Calculatlons ..'. ~ . Gath~r paramete~s. such ~,ambient tempe~ature and thermal. . emissivities, that are entered manually and read the cable tray width -and the data on the cable groups from files that have been 'prepared

externally: :.*

. Calculate key p~ameters that wiUb_e used in the rem.ainder of the *.

calculation including the depth of fill, the amp~cities of the cables..

calculated accordirig to ICEA P~54-440 I NEMAWC 5 l-1986;. andthe.:. load.4ig of each cable m per unit of its ICEA ani.paclty:. ... *'.. ~. Gather Input o.ata * * .1.

'. '1*

'. :.* :.*-~*

Most of the input data is manuany. entered into the scrakh sheet: by simple...

.. *. equatfons: However, beeause e>f the large num'Qer of cable groups (a set of ideriti~al * *...,_.. ,_: *cables c~g the sariie IO ad cmrent). and the amount of data associ~ted with *ea~h. ... ***.cable group,. the cable group. data is read from a *text file*.. The cable tray width is * * * * *. i.~. 0.:.> **.read froti:i a separate teXtfile *due to the limitations ofMathcad 4.0's data file. * * *

_.-' functions'. Th~ following information is entered manually: : *.. _: _ :

/ :: ::::::;::~: 8

of the cable ~ay *:. > Z..** >

~*.. _...,) I -*.*~* :._:: .-;.. :_:*_. {' ~***C*.. ;/*Th~-~~~vity.bfthe botto~ of the* cable* t.~~Y..:__-/*c *.:*;:.. *. -: :.: * ** * . : >.(. ~*::<?,~., Thr~e_possibl~-b~eak points fo~ sepa:ratirig,_"ho~ c~bles from;:"wariii~ :..." ,.. : *.* : * * :.:-*:cables. The appropnate break point is selected ba5e4 ori the IO~ding of

.-. the m_ost heavily loaded cable in the cable tray...,,_*
**~~- *_**'...The break point u~ed. tO separate "cold" c~bl~s fr~m ""'~" cabl~s: *: *.*
.. **:*:~.>
- . * :.. : *: A code ~dic~tmg the type of fue stop (or n~.fue sto~) instilled in. the *..

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

-~-.

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

j..

.~. *.*. -* -The°t:hermal resistivity ofthe cable.mass.. . EA-ELEC-AMP-041 ATTACHMENT 28

Page 5 of __ _

.*.*.:. The maximum allo~able cond~ctor temperature* ~ The e:*able t~ay width is read from a data file that con tams this value arid iS -.-_ associated with the file variable -hdr_name. The following cable group information.. is read from a second da,ta file asso.ciated With the vari~ble input_file: *.

The cable sizes ill the 0th colunin. {Mathcad n'umbers arrays beginning

. With 0 inthe manner: of the C language:) In order for l\\fathcad to read -. the cable size, a"l" must be substituted for all "f' and:a "O" or space . - must be substituted for *~._Therefore; "410" is interpreted as #4/0. AWG arid (HO or 10 is inte~reted as#lO AWG~. *. .. The n~mber of cable~ m: each grotip :in the_ lst column:. The number of ~onductors in-e~ch cable.in the 2nd collimn.' '.

~

~. '.I'

-.'._ -.. *.*I _*. '.... '. Note: The displayed ar~ay includes the index number ~f the ro~s oi the' array:_. -. -

0 - -* I- *. *: _,\\:. _which is ruit part oft~ input data. The zeroth-column is obtained by. -, -_. I ;.-.. -. *augmenting the input array with the*-row* indices. This is done to make -

i

... _: -. I _, -_ examining the data oon_tained-in the array easier for the reader~--:. <. ". ~ I ',

.: -.:c

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

1*. Thi next subseetion of the scratch. sheet coniains. a' series 9f look up. tables for pre-*.... :.

,. : *; _ *I*. defiiled-values(such:asconduc_tor resistance ve):'.sus size; air characteristic8 sµch as*.*

1-the thermal conductiVity, kinematic viScosity, and Prandtl'number; th~ effec~ on the

':~..

~.

--.. -I,_temperature rise du~ to me stops; and some miscellaneous constaµts, such as the.

-~-~~ : I Stefan-Boltzmann constan~;* '... -->'A- -:: '.'.. -~std1~ c~~l~-~:~~t~~es ~e "ie~-ed~* This isdone by a look ui> t~~l~.co~s!Stmg of.- - ~'; ". :. : :. ".

the veetor Table.;..size contanµllg the conductor size code arid the veetor_.Table_resist. *. :,: _ : * ~

containing the conductor resi.Stance in ohms per* foot at 90°C. The Mathcad linear * * *... * * - *'

.***. *** :~.,;olation r:ctiOn "linterp" lii used to look up resistances frolll the cable size,.*.

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

.~.~"::.-.>~*

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

~

- . :* :~.... *.;* *1

~-.. ;- -:_._.. :- ~ ~ ** *. /, -~- :. - .t. ~,.*: J ~~

'* ~. EA-ELEC-AMP-041.* .*ATTACHMENT 28. Page 6 of __

Next temperature rise factors.for various fire stop corifig\\lrations are defined. The

. source of _thesefacto~s is Attachment 8 of this EA. These factors are applied to the
: I *conductor temperature *rise at the end of the calcuiation. *The. temperature factors**.

. *I.* for fire stops in verti<!al risers are calculated from those for horizontal cable trays *. 1-.using the fufo:r;mation contai,ned :iil Reference 6.

.The values of the thermal conductivity, killematicviscosity; and Pran"dtl n'limber of** -

... air are based on the data given ih Holriian.* As a siinplificatio~, a single value for . - these items arid for the coefficient of ex}>ansion.of air is' given for an assumed film temperature of 60°C., *.. * '."'\\:

.****Next the offset between degrees CelsiU:s aiid Kelvill and the Stefan~Boltzmann '* *

.. constant are defined. The acceleration due to gravity is. already defined by Mathcad~ *...

_.... Calculate Key Parame~ers.** '* -. : *

.',.~.

. *:*. - '*' ',',The next sectioJ;l'breaks.downthe d~ta for use to the cfil,culation.. The ambie~t ~d c.**'.... :*, "
* ** * -maximum conductor temperatures.are converted to Kelvin. The cable size* *... *. **.

-.. (Cable~size), nuinber ofcables (n_c.ables); nuniber.ofcoiuluctors per cabl0.*.. *., . * (n_conductors); cable diameter (Cable_dia), and load current (1108d} are l1illoaded::. .: from _the data reacJ from the cable_ group* da_ta file (Cable_data). Next a: veetor with. -. * .'. ' the conductor resistarice, of the cables <Rc~b1J is created by l_ooklng up the.conduCtor ' *:. ..

I. resistance of eac:ti ca~le ~oup based on the cable size code. *

. ~'.. .. > '~*-*: *.:(The depth offillofthe' actual configuration of the cable ir*ay'is then ~alculated. Thi~. '. will° be used later in the scratch sheet to. calc~ate the arilpacity as defined iri ICEA. .. P-54-440 and to develop an equiva).ent.cable tray to analyze the "hot" cables. The *.. : depth* of fill is defuled slliiply as the sum of the squares of the diameters of all the*. cables m th~ tray divided by the ~dth ofthe tray._. '.- ~..

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

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

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

.* i. ' ';... '.. *._The n~xtse~ti~~.of the'~~~ttl~~~n c~cul~tes the ~paclty ~i-each~~bfo' a$ defined ',.' ~.. ~ .. _.by ICEA-:E>-54~440.Tliis is a "stand alo_ne" section which is designed to reproduce... .. * <.. the results shoWti :ln*'the staild~d llS closely as 'possible. The heat transfer function, . *".: *.'.* :.:.~ ..': *::.. arid constants> are defiiled indep.eride11tly from the rest of the calculation and ar~*..

~

..*.- _... defllled and-used emctly as in the* standard. First the heat intensity, that is the . *... amount of heat that can be produced per unit volume of cable mass, is calculated~

'.
The Stolpe method used* in* the. standard treats the.. cables as a \\urifomi mass that **.*'< *

....,... generates a coii~tant amount of heat per unit volume.' The heat dissipated by the**.... .... slab of cables is removed by convection and radiation uSing' the constants and..

fon:iiulae*given oil page 17 of the standard. The temper~tur~ drop through the cable**

. mass itself i,s. calculated using Equation 5 of the Stolpe* paper (eqUivalent to.. * . I -.:~:'*.

~*~.

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

. -~

.. :... ~:

.,~. -.

~

~-.... *'

., i. EA-ELEC-AMP~41. ATTACHMENT 28.

. Page 7 of_...__
Holman's Equation 2-23). Tlie equations are solved to find the amou~t of heat*.
generation that resultS in a cop.ductor te~perature of Tco~d m the center of the cable*

I* mass. A Mathcad solve block1 is used to find th~ allowable heat generation per unit..

' length of the tray. The heat.intensity is this value divided by the cross sectional
area of.the cable mass.. The ICEA ampacity is the current which will produce the.

amount of heat illowed by the heat 'intensity within the square area occupied by each cable. *The ICEA ampacities are stored iii the veetor 11cEA* Theload current ill each cable is then eXJ)ressed in per unit of the ICEA ampacity in the vector. IicEA~*. "

Classiflcatlon of th*e Cables as 11Hot", "Warm", and 11Cold".

. '~

.:~

- The definition of a hot" cable is based on the ICEA ampacity of the cables and.. depends on the loading of the cables' in the tray. If at least one cable is ioaded to". "i .. ".. riiore than 1.00 per unit ofthe IQEA rating or more, a ho.t cable is defined a$ a -.cable loaded above 1.00 per uriit ofit.s'ICEA ainpacity._If the most heavily loaded. :':-... <:;.... .. -cable is loaded to greater thali.'0.80 per unit ofthe.iCEA ampacity but less than.. * *.....--. .

1.00 per unit of' the ICEA ampacity, a "hot" cable iS defined as a caJ>le loa<}ed to. *? :\\ >

'... greater than 0.8 per. unit of th~ ICEA ampacity. If no cable is loaded to more thari. *. - *: : : -. **o.80 per uriit of the ICEA_ampacity, "hot" cables are defined.as those loaded.to in.or~:.**,* -. * * * -**;. ... than 0.60 per unit of their ICEA ampacity. In a few cases*norie of the.~able groups. *.. -~, :, : ' *:::: meets the definitibn of a *"hot"'cable. In this case, the hottest cable group in* the tray.-. - *~.' *' is selected as the hot" cables. The Ma~hcad max function is applied to I1cEA~ to find ...

the loading of the :niost heavily loaded cable (Hottest). The. value of Hottest _ ~ *. * *

' ' ' -: dete~es the' applicable definition of a '"hot" cable~ The scratch.sheet_ then'.' -. -- ' - i

... **~

,.. ;... compares the l_oa_ding of each c~ble (11c~AJ with the criteria and markS the "hot"

cables i.D. the vector Hot_set. The members of lfot_set With indices that correspond*; *..

. -.,* ' : to hot cables are se~ to. 1 with the reiliainlng members set to o. Therefore,. onc'e the <. ' : *" ' -.. .. ~ -iridex.of ~given cable is known,Hot_sE!t can be used.to. determine if it is a hot.. ---...-:: ~. . cable or not. A summation is use4 to count the hot cables marked in Hot_set:_Th.e"** :... *..

number of hot cables is stored in the scalar variable'NumHot. The number of:::

"warm" and* "cold" cables_iS then calculated from the total number of cables., -: _::." ' -*.. -. :.* '..

.r *.* ;.,,_:

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

. I. -* ~ **"~The Mathc-~d*;olve blOck aut~matically perfo~s a nuni~rical.~olutio~s*..

~;.* >.*.... " *.. I using the Levenberg-Marquardt method of a set ofnon-liilear equations. The*.* * * *,. :.* *

_ *:

' -'. '. I scratch sheet uses the Mathcad defalllt tolerance of 10*3-. The solve block consists of

.* I three parts. The initial value of the variables to be solved for are defined
I* ' imine~ately before the key 'WOrd "Given". The. equatiQnS to be solved are define~'

-:4 I. between' the key words ~Given" ~d."Find"; The variables that contairi the final '.. ' I solution and the variables m. the equation d.efiriitions are defirieci by the "Find".... * - -*,,.. *. . l ~function-.., ~ * *.:. _.- .. ~ ~- = -.

~

'. : :-,:* ~~..,__ . *~:.. ~ _. ~ r-' 1..... . ~*.

EA-ELEC-AMP-041 ATTACHMENT 28 Page 8 of ------ .. _ (Data_size) and NumHot. This value is stored iii the scaiar NuinNotHot. "Cold" - .. :cables ?Xe defined a5 those cables loaded tQ 10% of th~ir ICEA ampaclty or less~ _. Cables that are neither hot" nor "cold" are "warm".* '_- _ Tlie next step is to ~alculate an interlnfvalue fo~ the Width of the ~odel cable tray.' As de~cribed elsewhere in this calculation, the_ width of the model cable tray is ~et - . to the sum of the diameters of the hot" cables plus half of the physiC:al depth o:f fill,: -_. so long as the calculated width-of the model cable tray is less than the physi,cal :

*
Width of the. actual cable tray~ The maX:imum width of the model cable tray is the~

.. : actual width of the cable tray. ' _ Next a m~trix (WanriArray) 1s-creafedto determin~ the order that cable groups __ *. -~ .~- -~ :

.: 'shouid be added to the tray' ill order to bring the' depth of fill m the model cable tray

.; *.to' the physicai'*depth of fill. The 0th colUmn ofWarmArray.contams the indices of*. *-

-. *,the cable groups, the 1st column contains the cable loading in per unit of the ICEA. ---. <

' ainpacity, the second column contains the riumber of cables in the group, and the < _;. ' ._*./ ':3rd column cont'airis the area occupied_ by the cabie group in the tray (eqU.3.l to the"-.*_' >. *-*,*'. ' - *. number of cables times the square of the.diameter):JiiS intended that the-rows of.*:'.: '*... ' ~: the matrix be sorted using ~he cable loading as the p~ary key ~d the cable* area ' '.

-_as the secondacy key~ Howev~r, the Mathcad sort functions do not provide for such.. * ":: * ** *: )

mUitiple 'sorts. Therefore~ a* 4th colun:in is added to use as ~ sort key.. This is $et to. " ' 100,00 ti~es the cable loading plus the area occupied by the cable group m per unit *.

. of the cable group 0ccupymg the most area, The sort index of t4e h_ot" cables i~ set_ - *.. _.

'.-. ' 'to -~:*This forces the hot cables to one end of the matrix. w arinArray is then sorted-. ' ".. in descending order b}r row. The sorted matrix has the "warm" cables at the :top, the"_.* -. ' ', ':*~:- . __ ;. ' '. ' "cold" cables below the warm cables, and the* "hot" cables at the.. bottom. '.

r

~ *

.Next,_a s~illmation is ~sed to count the "warm" cable~ (N'um_Waim). The.number of ':'

. cold cables (Num_Cold) is also calculated. In the sorted WarmArray, the "warm".. -

'\\. ":- cables lie from 0 to (Num_Warm-1), the_"cold cables from Nuin....;Warm to. -_ *... * *
: -:_[.'

. (NumNotHot:l), and the."hot" cables from NumNotHot to (Data_size-1).' '....

~.

-~. ~.. ~. - -*-.. .. ':: :N ext;--~--~~i~J/rii~able*~-~-be consider~d for additio~ 'to the: modeitray will be *... . -..,,. *: /; '. ~ i: '. 'created. While there _areunused "warm" and'"cold" cables, the cables will be ~dded... '-.: ; : : -~ . -~ ___. in the order. of warmest, iargest; coldest, smallest; neXt warmest, largest; next '~ *. '.* _.-;~\\_*;coldest, smallest; eic:-If ail of the "cold." cables are.exhausted fusi, the relnainjng *-.-_-. -_***'.* :~ ~---

"warm" cabl~s are added iii order of descending loading and d~scending area '" _* ' ' ' '

' _* occupied by the group~.If all the "warm" cables are exhausted fust, the remaining.. -_*:.. *: cold cabl~s-are added in 'order_?~ ru;ceiiding heat gene_ration and area ~cupied by .. the cable groups.... ' ','. "=-**' ' -..

l _...

~

-~,-

. -~-* - .. ' .. -. '"-~.. ..* ~ -..,- . *. l.-. ~ 'i ~._ 1* ** 1 :~_, * . ',.*.,*.~.

... ~ i.. i EA-ELEC-AMP-041 ATTACHM~NT 28. . 'Page 9 of __ _ This process.is controlled by the flag Most_of. This h~ a value.of 1 if ther~* ~e* riiore * * * *. * "warin" cables: than "cold" cables, 0 if there. are equal numbers of "warm" and "cold.. : ... cables, and. -1 if there are mqre "cold" cables than."warm" cables. The variable ... Max.:...Alternate gives the number o(cables that can be added in an. alternating ... fashioii (the lesser of twice the number of "wami" or "cold" cables). The information..

about the cable groups is now inserted into the matrix Add_Pointer.i..Q the order in * * *.. *.. * -~- :. **.*

.:which the cables Will be added to the model tray. '.fhe.Oth column* of Add.:...Pointer * . contallis the mdex. of the cable group arid the 1st column contains the number of:.;* -* **. cables in.the* group. Because of the way W armArray has been sorted, "warm cables .... are taken from the top of W armAfiay working downward. "Cold cables are takeri.. . from the hottom of w armArray workllig towai'dS. the top. The range *varial>l~ I" :.. *.. ~*-..... controls the addition of alternating "warm;' and ~cold" cables. *... * . :~ *' '... _*The remaining "wanri" *or."cold"; c~bles *a.r~ then add~d._Thi~ is controlled.by the_ -_*vector "iik'~; A.vector is used here rather than a range variable as it al1ows defe.~ting. *~* *, . this section.ofcode if all of Add~Pointer has been filled with alternatiii'g "waini" and. * -... ; ~cold~ cables. In tlris case, all members of "iik" are set to 0 and tlie 0th row of. ~. *.~ -.. -... : *;;:~:~ . Add_Poiilter is copi~d back to itself. OtheNrise, "tlk" is used t()°fill Add_Po~ter.witli. -_* *. - *--~~:<_;~~

,"warm" or."cold" cables *as required~*.

.~ In tl.~ next Secti~n ihe vector HOt_~~inter is ~eatei It is fille~ With the in~ces pf '... **.* ' 1 the "hot cables. It is used to access tliem quickly during later computations... * .. \\--~ _* ~~ ,I . \\

* : *... The n~xt task is to determine ho~ many cables are to be added. In order to do thjs, a.vector 'of depths of fill, DOFtnai is created~ The* 0th member contains the: depth of*

.**. fill in thc{model tray" with jus~ the "hot" cables. The 1st member contains'*the depth ~* ~ ~- '.: : ... : of fill with: the "hot cabl~s and the* first additionaI cable to be addeq, 'the 2nd.. '.. .. member contains.the depth o( fill With the "hot" cables plus the first t:Wo addition81 '. *.. ~--

- - '.* : cables. to be ad~ed, etc~,.... : '...*......

.. ' r * .. no Fl iS then..,Jci,:~ ~mthe bottom ~~ to fud the riumber of cabl~ gr~~~. to..... - * ')

* ** * * *
be added so that, tb,e depth of fill iii the model cable tray is the clos~st to the depth -~ -; * *....

. -of fill in the physJ.cal cable tray while being gl-eater. than or equal t0 that iJ) the.*. physical cable tray~ This' is done by a summation that decrement$ ihe number of_. . *.. :. _*, <>l .*cable.sin the group *for*each inember ofDOFtrial for which the depth of fill equais 9r * * * * * ** ** ~-_t ..... exceeds the physiCal depth of filt The result is stored into NuinCables_.:.in~Set~ Thls

.. is set to 1 for "hot" cablesonly,,2 for "hot" cables plus one additional groU:p,.etc, A...

.. check is made.on the result. If'aitemating."wami" and "cold" cables are being added.. *.. **

~ **r

.. *. to the tray, the number of cables to be added is adjusted so that equal numbers of ~ * * "... * -~*: . *. "!iarm" arid"cold" cable groups are added to the tray. In those cases*where ~...

~

.\\. . >cables*in the physicaltray are included in the model tray, it is possible for the value.*. ~ '* _:*.~ '. '*I ~ -~ ~

l :

-~.

' /_*. *.,._..

/

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

.. ~. --~..

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

01.

..L *-;::. . EA-ELEC-AMP-041... .. :. ATTACHMENT 28..

Page 1 o of

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

~ :-*.*'

J of NumCables_j.Ii_S~t fo exceed_th~:maJdmum*v~ue*du~ to t~e-round off err~r <?f.... **.. '., calculating the depth of fill. 'rhe check. ensures that the value ofNumCables_jn_Set *

does not exceed the maxinitim p<<>ssible value* of N umN otHot+ 1. *Finally, the width *. *.
of the model cable tray is adjusted so that the depth: of fill of the modei cable. tray is.*

,.~. . the same as.thatof the physical cable tr~y..... : ~

~..

. ". Next;* the nu~bei; of "warm" cables.in th~ s~t. to be.added is deteJ.'iniried and placed*

in the vfuiable N :um_~.)V arm. This is done by searchllig the Add_Pointer matriX and. *. * *.

" ~**

* =
comparing the cable loadmgiri per unit oftheICEAampacity against the ~efinition.. * *:-c *** * *

,. of a warin cable. The number; of "cold cables in" the cables is then calculated and*.. * .... *.., _placedinthevanableNumQold:.* _.** .*.. *., ;,..... -*.. Th~ ia~t ~tep b.efore ~erfo~g the ~ctual heaft~ansfer c~c~a~on~ ~.to chl~~at~ '. '..... . ) . *:'. =:**'*.:~he amount"t:>fheat generated and the depth of fill of the hot", "wciril'.1","and.Clcold;', *. .....,,,. -~ ... *. ->>cables: The vector Hot:.,_Poiriter _is used to select the' cables* to be included.i~ the *. ... *.. -* summations for the.hot cal>les. Si.inilar calculations are _peiformed for 'the* "warin~': * ' *.. *. ~ * .. :..... **: and the "cold" c'ables~ The data for the."warm" cables is located using the.pointers at *.... " ~- . ;~.* the top of w arlil.Array and that for the "cold" cables using the bottoµi of......, ' c

.-.::ff;
(_*... w~ay. * <.. *."* ** :

, *::**.* ~:

The airiount ofheat ge~e~ated ill the cable trays is<calcula~ed. for a*t~~perat~;~ of

.. ; :. _. 90°C. A function is then created that can determ.lne the heat generated at any layer

~,. *.

temp~rattire. This function will be used during the. sol~tion of the heat transfer "..... ***.

'equatjons where the he'at generated by the cables is calculated,using the conductoi.... . '.. ; i.

".electncal'resistance corresponding to the actual layer "temperature for each of the -~*... **...
.* -- - ~-*
* * :,.:-_\\<_.< threeJayerS'.

..... *-1

~*.
c
Solutl~n -~~~the Heat Transfer Pro~l~:.r,.c

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

.*;~_.

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

--~~.*:-r>*..,_-

_..h****.***... > *:**.,-. -~ . The: various heat transfer equations are first stated.: as a se.riesof functions.. :These..

~.. * *.. *.
- .~* _equations fil.e then solved to give the.conductor temperature. First ~he heat.

. ' dissipated by radiation from the cable mass is giyen as *a*ftiriction of the surface. ':teinper,~~~.--.l~ of.t~e_,c_,_ab_ ie,mas~.

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

-~

__ ~;: *:\\..

,:.**~*.<::_..~-~.- ~ .~. r.'-~... .-.-~!' .\\ ~. .--.~): __,

The functions 'for convection are'more complicated. First~ a function ro*r the Gra8hoL:_. *:

= :.-*:.-:_:

number~*Wriftenusfug the functionsfor the ch~~ct~riSticsof afrdescribed:e~lier. :< *>/ ;~
._._ *, **.... * *an:dthe deil,nition of the Qrashoffunction. Next, the functioii for the Rayleighc.
"~;
number_(product c)f the G:rashof and Prandtl numbers) is: Written-~ The function for**.*

. the Nusselt riliinber for *the top of the cable mass can then be.written~ This function*..

has two defi.iritions, one for laniliiar:flow (Rayleigh nu~ber les~ than 8xU)6) and*.. * * . : :<.another Jor turbulen:t flow (Rayleigh number greater ~;ban SxlO~); The overall heat. o

.*~

.~~ \\*

'.,~.-;~.*,**"* ****,* *.-T" 0'

.r a~

~.---;:.. -~3

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

l.

. -:-.~.:...

!.:~--.

. -~
tt

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

'I'-';

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

~. i' EA-ELEC-AMP~41 - ATTACHMENT 28 . Page 11 of_-_-__ .. transfer fundi~~ for -~on~ection frolii the top.of 'the cable ~a~s can then be written... *. based on the de~tion of the Nusselt number. * *.. Holman recommends that the characteristic length of an irregular object be taken *

*
as the ratio of the area to the perini.eter of the objf?ct. The characteristic length; ~her' *
of a cable tray of width "'!*and length 1 is:

v.

. Fw**

i>> '..,; --,....- . chaf . 2(1+w) _In the case of th~ cable tray> l:>w, so:*. "~. - .. 1

l*w ~ w..

. * *.. char
2*_1 * *.. ; 2.. ;

r*' 1~. ~.._ ~ -.. \\ r ..., * < ' - ~ **.,. \\ . ~.. *, :*..

Note that the tvlo term~ for th_e width <the characteristi~ length ~d the ar.ea-of th~ -* * *, * *.

' cable tray per unii len~h)_ cancel each 'C>ther out.. '.. :...... :..... ~ The function for the overall ii~at iransfer from the bottom of the cable ~ay *c~ be-. Written in a sitnilar manner~ exceptthat only one flow.reillne needs to be r,.: **..... _c~nsidered. Two_altemaie.fomis of the heat transfer function are* written, but only.. ** ._. Qbot conv is actually used. Qbot eonVl is an alternate function that is only *used for :. :._ '.

~

' 1_:

.*... _.' :.. --~comparison with ail alternate solution method.... *.

.* !. r..

~.. - -: A. s~lve block is ~o~ -~se.d.to._solve the heat.transfer e.quations.' The ~quati~ns-;or the ".*

c *.

~--" '

tempera hire rise through the cable niass are Written based-on Harshe aild Black's*.

'.. :.: ",~ J

.. *.. Equation 6. This:~quati~n can be derived~ the superposition of the temperature

--~ .. : *.;~-.. "rise t~ough*a inass with wiiform heat generatfon per unit volume (as was d~ne fu~J '-."", "~ ._*_.. : _., -. * :. -. _the. origillal Stoi:Pe-D:t~th~d> and the temperature drop from conducting the heat_ .,. ; *. <:'.t ._.-: _ - **,generated by the layers ip.side the.layer under consideration. The solve block**',.** .~:.- ... *.calculates the sfil.face.teniperature of the cable ma.Ss and thete~pei'a~ure lliside ' *..* . the. "cold", "warm";. and "hot" layers.. * * .\\

The l~t-ste~is_ toin~orporate_:the effect of the fire s~op-andl~rtray:~~ver (u":: ___ *.. *.

.. *. present). The conductor. temperatlire rise, wliich is.the temperature difference * .. between. the hot layer and the ambient temperature is multiplied by.. the.... ' -....

temperaturefa~fur.th~t correspoiidsto the fire ~top or tray ~over type in qu,estjon:.

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

'.*. "~ -

4 ~ - "c,'*; ~**. ....," u., ~. ~ ~... *-*r.. -~ ~ >>* ~. ~. --

,,:.r-*

'.. - ~'

"if I

t - ~.<- ......,.. :... -... * -,~.,*

~-**'.

I r 1..

l

\\ . l* I.. EA-ELEC-AMP-041 ATTACHMENT 28. Page 12 of __ This modifie'd. *tempe~ature rise is then: lised to calculate the co~du~tor *temperature. . : ~- .: ** at the routing poiD.t. The factors for fire stops* are based on the calcUlations in . *. *~.

. Atachment 8 of this EA When fire stops arid tray covers are both present, the temperature rise will be higher than if only the fire stop was present~ However, *
_some of the h*eat whose dissipation would. be restricted by the tray co,vers can escape
__. _
... through the opposite side of the fire stgp, provided there are no tray covers ori the * * *.-

':. opposite side. Intuitively, t4e additional tempe~ature rise* due tO tray covers on one. '. I side of the fire stop is abOut half of that cause~ by tray covers 01i' both sides of th~ * * * * -~. t.

I* _ fire stol>> (te. half the 15% d.erating ~ttJ:ibuted to covered trays)~
I The.laye~ed inodelusedin calculating th~_maxim~ *cable te~peratUre"in a cable. -

I tray is an interim step in estimating_ the m~um temperature of the cable.. in a I cable tray With random cable arrangement~ The final step f~uses on the real: cable*:.. :.*. I tray - not the layered model -*considering the random. layout and loading * * . * --~' ,. distributions of the cables.in the tray: ~ . I' Th~ temperature ~f.the "hot" cabl~ layer thath~ b~en calculated abo~e-represeilts..* -~:-_.. :*_

- - - j°. the 11raximUincable temp~rature in,_the tray provided th.at the c~bleloadings*~.~--*

,~,~-

. I. percent_ofthe IC:EA ampacity ratios of the hot cables -~e within a reasonable *.* I *_threshold of the averap loading of these cables based on.*the field testing as * -

*. 1 --_:;.: *
I.* reported in th~ Reference 2. Cables with higherloading ratios than this. threshold
, * -<5

... -. will have a higher temperature than that calcitlated for the hot layer and cables- -.. ) -;:

with loading ratios below this threshold will have temperatures below that * -

.. *.. -- _;l

0

calculated for the hot. layer~** The temperature of the most heavily _loaed cable ls :'

...... ;.'.. calculated by adjustiiig the temperature rise calcW.ated for the hot layer Wi~ the -ratio *of the cables heat intens:ity to the heat intensity crirresponding to the * * :. ~. threshold ctirrent~ *This is equivalent to multiplying the temperature rise of the hot -- :. - * -' - - layer by the sqqare of the per unit ICEA current of the cable. tQ the threshold per. - *. * ... -. :~ ~-

-- unit IC~ current'of the hot_ layer~.

""~ Th~ threshold ~~;nt ~ ~~ected fu be 20% higher th~ the av~rage hot iayer per

_. _.

-. :---'.c:. *.- unit ICEA clirrent. The use ofthlS-threshold value is conservative since it limits the

e- '*

_Y,... . credit.takeilfor the u;n,.pei'ature averaging that tlleS place in the actu*al tray...... *':.,*.. _ _ . *.:.. * * *: -~ -I. iiistaliation* as* a.resUit-.of raridom cable layout. If the loading of the most heavily.-~. * *

:"~,. :,.. -.. ** 1-. loaded.-cable does not eXc:eed the threshold current; the cabl~ teip.pe~ature is tak~n

. '-:_:::.. --,=: *:

- ---*~ !. ~-to,_he_ ~------.*~* temp~ra~e ofth~:"hoi" layer... __ -.

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

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

' ~* ....,

,/... ' *.., .. r* -~**. ( \\ ~.... ~ J <*... ~..*. ; -l..* )' . '. ". *~*\\ ~,: '

- - * ~

._- c **.,_ - 'i ~> .,*"."*=~.... ~ *

r..

I.

. *.... ::~~

.-,~-*- References. .. EA-ELEC-AMP-041 . ATTACHMENT 28 *.

Page 13 ~f.......,.._-

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

Stolp~, J.
1971. Ampacities for Cables in Randomly Filled Trays. IEEE *.

. Transaction8 on Power Apparatus and Systems. 90 (May/June): 962~974._

. *
2.
** Black, W_. *z~ ~d Harshe," B. L. l994.* Ampacityof Cables in Singl~ Open-Top.
Cable.Trays~JEEE Tran8cictions on PowerDelivery.'9 (Decemb.er).... *
3.

.*. Holman, J. P:

1981. Heat Transfer. (5tlt Edition, 4th Prlntu1g,_ i9S3) *New*.
~:York and Tokyo:: McGraw Hill Kogakusha, Lt<L *

<

4.. *,Haddad, S~ Z.; Bloethe, W; G.; Lainken,.. D~ C~; Stolt, ir. K.; and'Sykora, G. *
1982.. Tests at Braidwood Station on the EffectS of Fire Stops on th~*.....

.**Ampacity Rating of Power Cables~ Chicago: Pr.oceedings of the America~ *._, * *

* *I* * *.. '.: Power Conference...

_*

1

5. -.* *... :. AmpaciiY of Cables µi apen-Top *cabl~ Trays-~ wc *51, ICEA ~'."54-440 ('rirird.. :<* * *....
- .
1~ >_ *. *. :.: Editiol.1), NEMA WC 51-1986, National Electric ManUfac~ers.AssQCi~tion;

~.. ~ I* f):.. Bran<f,Industrial Services, Inc~ 19.76. "BISCO Ampacity Test-Performed at.. **

1-*. * *. <-.Portland Cement Association, Test No. 9027-10." Elk Gro~e Village~ Iliinois:

I: _ * : 'Brandindustrial*Servfoes~ Inc. ~.. .* *.. i*:*.:.'. *. . - :""~.'.

.~.....

,' __ **.. :. ~::*.~* -,'r

- r*

.. ~~:.*. . *_,. -.>) *.. : *. l ~. ~ f -*. *. ~: -- .. ; ~-"

-~-

<;*..

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

__ i. -**

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

-.~

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

- :***,t.**** '

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

=:

~

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

~** f

EA-ELEC-AMP-041

1 ::*..:-.a;:Appendix A Page f of i \\

Case XP600 . Cab_l_e Tray Emissivities . Top surface.of cable tray. E bottoi~ =o.65 ' _Botton:i surtace of cable tray

_ E top -t-E bottom r -

. Emean .2. E mean,;, O.~_ ' -Emissivity used for calculatjons _ ~. *Break Pdint~ COnsidered. for Selecting *Hat _C_ableS-B_re-~oint 1 *:~1.0*..

Break.Point

= 0.8 2

.*- ~-- *sreakPOlnt 3" = 0.6 .,Maximum loading fqr "Coid" Cables.

'. ~~x_c~id = o.*10..
Phy~ical Wicith of the Tray Fire stop Codes:.*

~ NO fire stop _ 1:_24" horizontal concrete 2-24" horizontal Kaowool ~.24;, horizcmtal siliconefoam

-: +-- 24" horizontal double.sided 3M
caulk

~ 24".horizontal ~ingle ~ided 3M caulk.. -' 24'" vertical concrete

_w physical = ~AD(hdr

_~rune)*.1_ -in* : \\¥ physi~aL = 24_~in

7 __;. 24" vertical Kaowool
Fire Stop.code

_Tray cover Code.;_ *

~

24" vertical silicone foam

"9-24" vertical double sided 3M caulk*

1 ~ 24'; vertical double sided 3M caulk ' 11.;_ 12" horizontal concrete_ . * *rr:ay_Cove~:_Code :~.2 * *. )~I ~able Mass Resistivity ..,\\....

,..i;
r *.~ *
..
Ambient Temperature.

'*.Tam: bC': = 40_.'o_-'K * °C -'}:*-

i.-_.

12-:-: 12"* horizont~i.Kaowool"-. :- __.

1 ~

12" horizontal silicone foam

14-12" _vertical concrete*:

15~ 12" vertical Kaowool_

15.::.. 12" *vertical. silicone foam--:_:-. '.

AuowableConductor Temperature

_. __ Get the.cable data fr~m.:a~ _ext~r~al fi_le : __ T c~ndc*:_= 90_K :. *c.. * , ~.-.. ., : * ;ca~le_dtit~- ;':::;READPRN( inp~t_tile).;: *:: "~./*~i.~" -~::,,.. -, !\\.~ ~~ . \\ .. ~- Tray. cover Codes '. :°: o*ata siie" =**;ows(Cable d;i~)~ 'ba*t~_)iz~ ~ 3_1-

.*. **.* ** t:~~:~:::::~~t:(~*.i~::;~~Y. < **,. <. **** * *. **
-~.. -..

~',. ' Thr~sh~ld. F~ctor' for Temperature o.f "Hot" Cables * -- ~-

...-.FThr~shold =L2 *-=.

~- '".;.. '~. : d~ NO co.ver.. * *. 1-'-- Raised Cov~rs~*:,; * **... * -* *2---: Closed Covers _. * ""1,'. ~ ~-- ~~ ;: ** ;c * ;' '.* ~.. :

.. *r. -*

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

7 *

. ~.- '* .; ~ ~ ,, '..... ~ --.~* \\.. ?' ... ~' . *,. '~"'.

~-.

. '. ~ .. **.1* -*:-*;; "*-~: .3. -

EA-ELEC~AMP.:.041

- .. ;:_:, Atfachnfon( 28tAppendix A Page2of __

.. -*~..

Lookup Table !cir CoriduGto-r Resistances at go*_c (See Sargent & Lundy Standard ESA-102):.
Table.:_s1ze

.:{* ~. '.,,.,- ~ -~:.... -* ..:_r I ~ I 4 I I 6 !- *.8.

*9,

. ' L 10 I* - . I... ..12

- 14 "16 I 110 I
2iO.

. 250 -1*300. 0.0161 1.* 0.0203*, 0.03i4. 0~0513 . 0.0818 0.103 '* 0.130 o:io6 0.328 0.523 0.0128 . O.OIOL O.OOS42 --

J*

=i JIO -L 0.?0~53 _.,. 2 I

.: Table r~sist -

0.00804 *.*10* *O*t(

.-i 350.

-. i 400 - .410.. 500 600 750 1000 J25o. I** I. 15()0 1-i1so .I..

i 1922

.I.... "! 1925" . ~.

1**.

.*, 2000 I. l25oo ~.:*-<..'.. ft'.

~;:\\>:,~---.:~"\\'( ~-1

~~}~~~~t~f f -*.~._-. ' '... '.:~~.*!~~~:;;t.~L :- 0.00389.

0:0034*1 0.00639 "<.

.0.00275. 0.0023 L 0.00187

,: 0.00144 r

. i.. *..

. I i 0.00119 ! I 0.00103. i . I 0.000913 I

- . /.

0.108.

. I
.I

. -0.217. :.

*. 9.?0083J,,,.c: :*.: >.;~,..

O.OQ0723. j. .. ~... '_,,.~.-. --~* ~.,: ~ *. ..,-.\\

.~.: ::
~

~* - :1*.

=- **

. ~. ~ -'.. ~-.. ~ '->:~":" L .:.*S

. 1* _.*:-... :-

,. \\",.* -~.. ~ -:t: . ~!

.~

- -*.)-; ..-.. ~J ~.

Temperature Factors for Fire Stops.. I

- 1:

1.000 1.06399 Uj ' {.2) -i f.23 . 1.23. 1.22098 f.S _ T cmJl_F actor . :* '1.41

14,l

... ~. .*....... ('. .. -.) 1.41 i.4r** 1.00000 1.14'. r Ll4 I 'j 1 _1.. 00000 i. 1.31 I.

1.31.

j.. .. : ~ -:--~J. .~ ~ :.. *,.':.. * . :~ *:~ ....... ;1, .... :...: ~.

, t

~-'.. ~. \\

! 1.00000 \\

<::over_ T ~mp _F act°.r = I. I 0803 ) '\\ 1.38408

1: -~-....

~* ;.. -.*--:. ~ ;* ~* ':. EA-ELEC-AMP-041 Att~ct,111t_ent 28i::Appendix A Page 3 of _.....,-- ...... ~ i*

- ~

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

,

,~~;'.*~:.;,;;,;'.~$1~t.;~'.\\:~:*:.?;_.:- ~'*>;'.;

i.' . f'*'

- - - =~*-

...... *~;.

- ~-

'I. .. :f*.

. EA-ELEC~AMP-041 Attachmeiit 2a~::Appendix A. Page 4 of __ Mis.cellaneous Constants

Acceler~tion due to wavity.

Stefan-Boltzmann Constant .:* '. cr =5.669: 10" 8-wait-~* 2.r(- 4. Holman, page 307 Coriv_ersion between °C and k. CtoK = 273: 15* K Phys_ical Characteristics of Air: The C~aracteri~tics of air are given for an' as~umed "film temper~ture of 60°C "(333K) . Thermal condLlctivity c.**

... - ':*1 -I k airLT I,T2) :;:0,029.*watt*m :*K

. Kinnematic Viscosity ~ *.-*

s *2.

1' vair(Tl;T2) *= 1.928:10- *m :sec* Volume coefficief1t of expansio~ ' ~

I.

60*K + CttiK Prandtl Numqer ~'

. 'V,_.. ~:.*

.. Get Basic Data about Cables,in Tray : Cahie~siz~ ~'caqle~data::O>* :.. *.:.. . **

T ~b = T ambc+ CtoK Ambient te~perature in.Kelvi!l 11 cabks.=-Cable,:d~~a< 1 ~*

.".*:~*

.. : ; } cond :;*T c6iidC + CtoK Conductor temperature in Kelvin* -

,.) ' ~.~ *:~~:1>*1~2'>*.:~~;

11 co11Juctors.=Cable data*.~- --."

.;*,.. -: <)>":>'* *... :_:_-. '

***
Cab It: dia' = Cable data
_***I* in -... *

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

~~.. l)oad- =.~~b!e_data_. *I *~P* :.'~~
--~. ~ :*
~~'* <*'=.~~

R c-~~le..,*:.:_:.: = lintei-p,(Tahle~size, Table_resist,Cable_sizl!0 d.:')'

D

d * **

at.l in ex at.?_m c:.x... *
~~-~*... --:***.._. ~. -~.,, . *~. '.: . ~ -~" ~- l ** ' ... ". ~:. -~**. *--".. ~ ... *, ~ *;-. .. ~-*._ .,,.~.~~
~
~~>. ~-'..~~
'.. -~ '-~
EA-ELEC-AMP~041 . :Attachment 28) Appendix *A* P_age 5 of *.. ~..... -~. . ~ *. ..\\.* . Physical Depth of Fill. ( Data_size - 1) -2:' . n cables.* (Cable dia.'i 2 I.\\... -.. I/. [}OF physica.I -
i.=O

w physical DOF. physical.*;;; l.57J *in
, ~.. Caiculate the Heat Intensity according to NEMA WC51-99~6 /.ICEft. P-54-440 (1986) Note: The formulae used in this section are taken directly from NEMA WC51 to en*sure that the re.~ul.ts match ttic)se in the standard.** . DOF,1c£A :.= DOF physical".. T ambICEA :: T ~b. . Calculate'_~he ~i.Jrfa~e. temperc;1tu'~e of th~ ca bl em ass as a* fu.nction_ of heat gene~atiori " - Q*Pma~s*DOF !CEA' = ! cond -<-.-. -.,*.
" 8*w physical.*
~~Ts(Q) Stolpe, Equcition ?~~
~~.. H~at di~sfpated by conve,ctiqn~~
~~~..~~
j
~~-. ~ .'<<.'Heat dis~ipated by rcidiatio~.... "-~_.;. NEMA WC 51-1!:)86/~~
~~NEMA WC51-1986/~~
~~ICEA P~54-440;,. *:, ' . Appendix 8~~
~~~. 8..,.*...~~
~~2 _;'.;-~,~:<-*.,.. ICEA P-54-4~0. crrcEA>=O.??~.~W:,.,'~~u-tr-:K:;,_:.. :,~~
y,

'.Ap~e,ngix.~
1..
.. ~.
~~,.. ~...~~
~~~*..~~
~~. ~.. '. ;;... *~... . ~ *. *.;1 .. ~ ; ' I.:* -~ 'l .\\; ~*~.. :*:.. '..,. '. -~.;.- ~*. i1-~~
~~-~*..~~
-.... *.. :~F,';;~'.:*:;_;*"";.:/({:::\\:~~~:.'.'~\\*:.: '~!""**:..... :, -.~:, '":'.\\*;_... -~.:.:-~> '." .._ -~ * * * *.. . H~lman;* Equ~tiori a-43a f~r --:.:.. ** * " *
~~v;icEA.(T).*=cr1cE~*£mea~{r 4 -fambICE~~~
~~4 J*2-_wph~sic~I traycompletelyen~losed,in...*.. -. ,al.argearea * -~ -... ~~. ~.*. . ~..~~
~~~ '~~
~- :*," -*
. ~.

. -** "... ~
~~. _* ~~: . -,* ~~~
*: f,
~-- i. ~ '* ~* -. . -.. / ~. ).* r**.. -<~
EA-ELEC-AMP-041 \\*;,::;
~~~" i) Attachment 28;LApperidix A Page 6 of 0:: Find the. heat dissipated by the tray fo give rated c:onducfor temperature*:~~
~~Q 1 ..,1. ::: s:watftr i * . e.,~~
~~.1>,~~
~~Given *. ~* ..... I.. ..~~
Q totICEA =' 126.243 *watt: tr. *
~~. '. ~~~
~~. Ts(Q i6ticEA) = 349.575 *K. -~~
~~. *".:;~*. -... . ~ *, .. Q c!CEA(T~(q. t~t~C*E_A). ~-36.063.~~tt*fr I , Q r!CEA(Ts_(Q" 16t1c.~..\\)) = 90: 18 :wa~t:tr ~: . \\;'~.:,. . Q - HI.: _ -;=.~~
~~_ totICEA -.~~
~~. !CEA* . ~OF,ICEA' \\V 1)hysical : ~;..~~
~~ca.foulate the. ICEA f'.~pacitities of the Ca~les.~~
~~... *.~~
~~ICEA_,ri,pooity( d, n. R; ', d J~~~
~~~ ~E: ; :::u~:~.:.~::~/~~ats cabl *~ as sqUares: .. ~-.. H 0~~
~.
J
~~<r 0~~
~~.. ~ ". ~.. '.~-* ~~~
~~. -~ *..~~
~~.*-... )~~
~~'* CutPoint.-~= ir~Hottest ~B~eakPoint 1 *: Bre~oini 1 :. Bre~k.Point i :;~~
~~. *-_cutPt~int -=it"( Hoitest~Br.eakPoint 2, ~utPoirit_, BreakP~int 3}.~~
~~' CutPoii1i. = if(Hottest<Br~akP~int 3 ", Hott'e~t: C~tPoint) .*.-.I (. .*.'/. '.~.~~
I~
~~-:C~tPoint ~*I'*-~~
** t
~~........ ~. '* t **. ~- ~. f ' *~. . _.; ~~~
I
; E.A-ELEC.-AMP~041 c ::; :::;* ;J * *,\\. u.i.Attachl1ienf2a; Appendi~ A. :*
~~. Page r of. . Hot_seio *.. d.<=.if(I ICEAtL * :..:.:CutPoint, l.O~O.o):.* . *ta_on ex~~
~~!J*ta 'mdcx~~
~~..~~~
~~Nimtl-{ot*:=IHot_set*..~~
~~., NumHot = 3~~

~~Number of cable groups in hot layer.~~
~~NumNotHot ; Data_size - _NurnHor' 'Number ofcabl~ groups not in hot layer 'N~unNotHot. =: 78 ' . MultiGroup ::=NwnNotHot>O' Flag indic~ting some cold~arm '~~
~~cablE!s.~~
.* The effective tray width to be used in the:model is equal to the sum of th*e diameters of the hot:.'**
cables plus half of the actual depth of fill: Th.e upper bound on the modeled tray width is the physical tray width 'plus half of the. depth of fill in the physical cable tray. '. '

j2*=Data.:_siie..'.'1.
~~.,.*.. *.**.* 12 *.. *: ., *.*.. *.:.. DOF h sicai .\\\\* mod~I =*.*E. Hot-:-se_~*n-:-cable\\Cabl~_diaj: + . '*~ y... j = q. ' ... ~vinodd=3527*in~~
.... *.. I?OF physical =2.94.: *.

.,. :. "".model -
2
m
~~... **~h,~_del~~!f(~.m~del>wp~ysic.al, w ~hy~i~al* w model) *.* ~:-~~
_.~. :*
\\.
In order to a*dd *cables to. the cable mass pointers will be developed so that the hottest and.coldest

\\ "cables can be added in order to the cable rriass. The pointer matrix will consist of the element, :_.
~~.. number in.the original cable ve~td~s (the p~inters) in the 0th column; the load ~urrentin per u*nit ~f~~
*:*the iCEA ampacity in the 1stcolumn; the number'of cables in the group.in.the 2r:id column; the.:
~~' - area occupied: by the cablesin the cable group in the<3rd c'olum'n,,and an artificial index used for~~
~~sorting int.he.4th colu.mn: The" column of ICEA ampacities will be -modified as to.force.the hot~~
. c.ables to the bottom of the matrx after it i~ sorted. The cables that are*not ~hor will Qe at the top of.. - .. the colu;,,n *in o.rder of descending loaqi~g in per unit of the.ICEA and desc~nding* area occupied.*.:.*..
~~..'\\. *...~~
~~"*. - -.: ~ -... ~,~~
~~.. *--f~~
~~"'"".:). ~ __ *J:. ~... ~:~~
~~~:**...~~
~~-:~. -~ "*.. :,:,. ':._..~~
_.""

. -~*.:* '... ;
~~. '*~-..~~
/'
~~. -. -~--. ,*r~~
~~~ 1 :~~
... ~~-.-::. -. :.. 'l**. J ~ :~ ~ _..... . *.: ~<.-~_*
~~~-: -~~~
~~.., **..:..~~~
~~.. ~-~~
-. -~

..... *.***.-~
~~. ~- . *--~--. . ~---.:..'. *: *:~ 'o . *. -~ .' *.**. *;::.i- '--~.. _: ~~-..~~
~:
~~, 'J' r~~
i
*waimL;a*~ 1.

*.:*
~~,.,i - Oat.a mdex.3 I WannA.mt\\ = itl Hot :>"d~~
~~d _>0. - cc, lloor I VOOO I IC EA LL~~
~~)\\.,.. 1~~
~~llata 1mk<.4 1J~t.a 111 ox~~
~~~at.a_md"x~~
Max_A.rea WannArrav *
~~~ n cable~ '.Oat.a index. 2 .. Oat.a*_mdcx Wainii\\ii-ay ~ reve~sl!(6sort( Wamlf\\l'r~y, 4))~~
EA-ELEC-AMP~o41*.*

.*. *.. *-.. ~~£

Attachment 2a,* Appendix A. *

--P~ge_. 8 of
.*.*'.. *.. * (Nu~N~t'Hot-:-.1)**.** Nun1_w~mi *=*it' Multici-iou~, . L.* * : if(Wam1A.irayi. /Max~Coid; l_,b),0 . :.. *4 . *!=O. ,.. _... /*. ~ ";~ NtinL Cold = N~1n~otHot.- Num..:.. Wai1n. ..... ~... ) Nwn_ Wann= 12 ~ Nwn Cold,;,, 16 *'* Most of.*::*it(Num_ Wafin.>NL1ni_C6ld, 1 >u..
~~1 if more wa*rm *cables; -1 if more cold cables~~
~' Most_ of,,: it(Nurit_ Wann=Nllin_Cold,O, Most:_;_ of)..:0 if the sam~ riumber of.~arni and cold c~bles :'*>.. -~ -. -~*
~~Mo~i. ~f =-1*:.~~
~~Selectthe number-of alternating warm~~
~~and cold cable~ to ~dd depe~dirig on. '.~~
~~. Max.Alteniate *=it(Most of>O,i-Num Cold:i-NuiTi Warin)~~
~~* --~ ** *~~
~~.whet~erthewarnior.coldcabl_esrun*,, *_ .,. *.~~
Max*~ Alternate ;;,, 24

out first *,
. Start out seleetin~ :;~~les to ~dd alternati~g warm:arJd cold* cables* ~-J-:. *.. until the supply of orie:or the.0th.er rur\\s out._ '. o ~ T. ! * . J :~*0:2;_it(~a~_~1tema;e>>o.'c*~~~_:A11e~a1~~ l),Of * ~. . ;.. ".~:.. '
~~... '*~.~~
~~--.. *~.. . -~~~
... ~.*
~~.. *v NumNotHot = 28 *:. *: * ..w~~
_::.Nu.ffiNotHot -

1 ~ M~_,{i~e~~:tt!:~ j_*.
..

Ad~:Poi~t~~i~
~~1,*~~~~YW* 2 ~umberofCablesi~ Group** . ;_:.... :-_./.. *.*...... ~::._.~ ,.i .. ~.: *;<:.. *~ :.... > -."".*:~*-:*"~.--.. **.. *.... *-.... ~- \\', .. _.-*,*:'*~-.~~
~~~dd ~ P,om:~e\\i +.n': o: = '.~~
~~1f ~~l!i~rou:'~.~ vy annAJ~~y:(~~otHot :,_ 1' ~ fi ;0 ' (j ]:':: > Co_i~ G~_ble PointEfr.* .~*-c. * *.* _.. -~ ;~:.. _. . -~-~~
~~. *.. ~dd~'.~~
0 "'letH;;; J"': ~~o;iiGro~p:~~tr*~t;,~~~ ; _fr"°: l ****, Numb~r Of.Cab!e.s in GroUp * < \\;:*. ..1<.- Fill°upthereniainderof * .. *::'~..... -,. :~*:,. - ';. -:: * *:;;. ..,'. *. the array with warhi pr': '. iii-.= o:, I :*_-it( Ntim c"bid~~~~{i\\.varm\\*o:(N~~NcitI~~t~*, **~*~~x* Altemat~*)).* cold cables dependin!r,bn' -;o,.. * * .what_js le.ft: ,.. * * * *iikiii ~= ! 1~~~st_ot~?-~i;~}~:~Bi~t~,t~~~ts): :.~j~c~ fy1~thc~d 4 d~e~ nbt.ailo~*p1~*~i~~ an *i~ ~~nd;tia:~-... _ around a block o(code,* we will use an index* here. Inhere ; are th~ S 0 cHne".number ofwar"m and c~ld cable~~ we filled th~.~-;*_ ", **1 pbi~ter,c:irray already, so this *if wl11* crip.pleJhe following
~~statements in that case by only repaCirig th.e 0th element..~~
~~. '_ with its~lf: -.~.. ~* *' *.< _'; ::*.. c '. , ~.:. ~ "* I~~
~~... =**.~~
'.. ~- :. ' ~"" ; .J*
~~,_\\~~
~~. -~*.* ") ..;.~ .....' ~. ' -. ~ i..**1 *.- ... ~*.. . ' ~~. '. ~~" .' ~ .... :... :/ ~:. :. ".. *".~.,. ' -.~~
~~/..~~
~~f .~.......~~
.i
...,.~.:~**
(.
<~
~~.,.:.. i:~~
~~~-. EA~ELEC-AMP-041 Attachrnen~ 2,8;*;Appendix A* P.a.~ie g *at** * *... ~. Add_ P~i.;tcrii~... 0. ~* itf Mos(_ ot:;>-0' w a;-nw;:ay(***.: M~x Ntemaie.. f\\dd_P~int~r'iik***J*. 0]. 111'~~
~~.. Ill+~~
.. 0 L "_,:. 2. .. ~-*: *.... Ac)~]ointcriik.:". ~ 1 Ill = if[ ~.;o***.~t ~t._.* '."_ 0.. ;***w .. _"._.*a*.*rmAI. ... :... T.ay(;ii +_, M~.:.x ~tema;e, i. Add~Pointeriik.... 1 J.-. 2,... :. :.. . ~--: .. Add _Pointcriik.... 0 ;:: itf Most_ c>t'<O, W a;,~~ay (.. *.. Ma~: :.Gtemitc ... '.,Add ]oi~t~.~(ii~***J.: ~] 1.11 NumNotHC!t. -1u}.O* 111.. ..
L
... 2 . Add_Pointcriik.. *. 1 =iiMost~of-;::O,WannAmiy( *
* *~x Altcrii~tc. ***)*,Add.:_Pointeriik... 1]*

.....,111'..

NumNotHot-1-*
~~-111,2 *... 111' . ' 2.~~
~~~*Set up pointer for hot cables.. _~~
~~k :=O, I.. (Data size~ NumNotHot - *1)' . ~ : .. *~. ~; -.. .. khotk. = k +. NumNotHot :.. Hc;ijuinicfk. = \\¥~ay(kh~tk) ~o ' -~ ~...~~
. Calculate a vector' of de'pths of fill for variou's numbers of cables added in the. order..

spe~ified by Add-:P,ointef.
~~Just the hot cables* ',l (Data~size::.. Nw:riNotf-!o't ~ I)* .... *: L~ ;~~
~~l >_ >~~
~~ll;C~ble~dia._:H~t~P~intc~'.*, ~ 2~~
~~n_c.able.s(~ot_Poi.nic;.y.~~
~~'. " - Jt. J '. J.~~
~~j..:= 0. '~~
~~. ~.... DOF hot = ------------~-----~---,-,c"----,--~~
~*

"*.., wmodel.
~~... ~-. ~;~ *.*-. '.i.~~
~~.~.~~
~~~-".. . ~*:-. '. ~,:....~~
* :*:,_. DOf.iiot ~0}95,-in.* * *H~tcables alone
~~~. -* : ~' -~-* -~~~
~~~. '.. -~~
~~~: - - ~-~~
~~.. DOF irial.* = DOF ho( The Cith'element.of ttie vectqr represents just the hot 'cables*:~~
~~~ . ~ . 0:,,,~~
~

~

!Max.;= iJ(Multi6roup~ NumNotHot: 3).>"f-:=J,i~, !Max* *
~~~ - ~ ". t -~- Calculate the dept~ qt. fill for thi ~6~biiieci. group~~
.t._: -*
~~.c . :-;*: *adding on~_~.c~~I~ Qr~Y~~fa time:*,~. *.: **~,_:h.~*;::~:,~'.* ~-~ .. y-~~
~~=,: >:-~..~~
~~" } D?f i;i~\\* ~P<?F ~o~.~~;i}.~;~t~.~.f':.- ~, ~*~'. ::. ~.. :* ~.~...,. ... "I,.::'~, .... :*~:*......~~
**c... *,~..
ZJ*~['t::able:dia[~~ii i>0;~icr*... *.
~~-*~'J 2.. ~}ables*[~dd::P~i~1~*:**;:_. ]:'~~
._ t*"**
~~-... ;'. -.. (J-IJ.Oj (J-l~,O "~~
.
~~i Multi Group:*-. J--~. -~~-----,.--..,--..,-'..,._----,-----..,--.~~
~~=.::* **- .S* ".1*"',.: * 'wmodel .. ~ '~~
~~.. ;_. *_:' ~' -:~~
~~. c,....~~
~~';~ . , *. ~--.. ~ *-*.--;:': *. .. - :~*.. I.'.~~
~~. f~~
~~,, -. ~. ~ . /- ~- :..* .,.>~:.-::*. .=.-*.;\\~~
~.

. ::= !j
. ~
EA-ELEC-AMP-041 Attaqhrnent 7~.. J\\ppendix A <p:ag~* H> of.L :::* *"".::...
~~Look ~t the list to find the index of 66Ftrial that is the smallest that i.s greater than or equal to the.~~
~~physical depth of fill. This inq.icates which cables ought to be added. to the hot cables 0 NumCahlcs in Set = NumNotHot + 2 _,_.. L. if(Do: trialj...:DOFphysicar*- I*?}~~
~~: j =: NumNotHot *.~~
~~, """ ~ NwnC obl<,_m_ S~t - 2 floo'.( N wnCob~s _m~ Set).. " ""'" = I~~
~~. 0 if value is even :..~~
~~no_ mon: = ( Noo.i~ables _iri _Set.:..* I f..:Max_Altemate.~~
~~. no rriore = 0.0 ifalternating cables left~~
.... hump = is~even ~no_inore

N.~m1Cuhles_:in_Set = it(bu~p=O. Num.Cables_.)~_Set ~ I: Nu~Cables:...:ih_:Setf
~~. *Put *an u*pper limit on the number of cables in.the. set in case the counter goes out of rang~ due to round off errors.. :.~;--: * > -..*. ** ~~~
NumCahles_in.:_Set.= it(NurriCablesjn_:.. Set>.( NumNotHot. + I),(NumN.otffot - I J'.NumCables~in-'-Set)

Hot cables+ number of warm a.nd cold group$ to *

NumCables_in~Set =. 11 be added; 1 means hot cables.only, 2 *means ho.t

I

cables t 1.warm or cold group! 13tc. *: **.

~
.. DOFt *a1'*... : *. '.* .. '? . ~... \\'**
~

* *

n. { NumCablcs in Set. - I )
~~. w model -=:~~

w model * ;

.,c DOF*physic~I :..

. : ;v inodel :~3. 787 *:In :,
.~.*
calculate the. depth ot fili of ttie whole. set as a check ~n.the IOgic : *

4
~~~ wmodel~~
. 1'

DOF model*= l.573*in
~~.. ~. '. ~OF model~. DOFphy;;<:.1 =O*;n~~
.v**
~~. ~ :~~
~~~-.i..,'~~
~~'":.{~~
~~~. :~~
*""=
~~.: *.-.,~**, -. .. **:. ~- . " ~ . : ~-~~
~,;, *.

~*.- :*
~~. _... ~:~~
~~.~..~~
. *:~... ~ ::- ~"~~ 1: *.-.. :-~
r.**'**. .
~~EA-ELEC-AMP-041.~~
~~. Attachment 28,. App,endix A '?age* fl of.\\. **'.. ' . Establish Separate. Lists of Point~rs for the Various Categories of Cables _Warm Cables~~
~~Go. through the list of cables to be added and count the number of warm ones~~
~~. by brute* force. (Not elegant, put probably the most reliable way.) I Num Wann- = itj NumC~bles in SeL I. 0; (NumCables_in_.:.Set-2) l~~
~
. itfr ICEAu[.( :.. *. <.O>\\ i>Max_Cold, l :ci].. JI Cold Cables I. I 'L. NumCuld = NumCables in Set-' I ~ NumWarm* .. Ni.tmCcild *,:;, 5. '~t L...J. l. *
Add]omter

jj..
~~j=O~~
. Allow 1 for hot cables; then if it is

.not warm it has to be cold
~~. Calculate-th~ Depth. of Fill and Heat Generation at 90°c for' Each Layer of the Black Model~~
!jot Cables

Calculate the Heat Generation
. _j2. ~ NtiillHot -~ I * . j2**. Q hot9oc-_=*. ~- ri_cables!Hot Point~-)*n_conductors(Hot Poi~~CT-):[r load(~ P.... l2-R cabl~tH :P.* .). L...J.. J J ot_ omtCTj) J, , _ot_ omterj j = 0 '*... - '~. .: ~, I Q hot9oc. =_6.388*"'.att*tr . - -~.. i ~.;-_ \\...
*Q.
:T) *--Q

*.1234.5:K-: _CtoK + T)**
~~I ( h t9oc* 1~~
~~lQt.. :.:* :. o. *, \\:.* 234.5:K.,.:.. 90)<... t~~
~~~ *.. ~,'. . ~-. ~- -. - -~- _.* Depth of fill. ': '* ~.. ~. j2*** .. L. _n:-cables(H_~t_Poin_t~;) *[ C~bl.~_dia(H~t-:PointerjyJ2.. j - 0~~
~~!)_Of hdt : :*-...-. -_~~
~~.. -* -..,--------.,,.~--...,.-_,.....-----,--- win~el *.. -_j '. . -.. ~ - . :.~ ... ~:f'. 1-;'* ~* ~ ', ; * -~. I Warm.cc:i.~les..~~
-: -~'.'*:

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

_ c~i~~late th~-H~at Ge,:,eratjo~, <~:<~: *. ~';
~~-.. \\:* - -~.:r *,.," * ~.. .~.;;... *._. -~~
~~.j2 =it(NuniWa,tn:..1.NumWann...:*1.0): *.*...~~
~~e ~. .-~-'~~
~. *v
:~-: -
. *2 . '. ~. ... ~ .)* ... -7 -.... ~.. :,.'* -~; '. 'J Q. ~~ahn90(:- =. ~. n~c~b. le~[.(. *.. : ". *._-*;:*0*,,).-.)~n. _c_.o~duct~rsr i *. ~:o>)_)_ [r_*;o~d(.(***.* :. : -;:_0~)_* 1 ]~*R cabler ( ~-.. :.*0 :_).* *)-_
~~. :1~~
~~. *.L.J WarrnArra~. j., * *. l \\ WarrnArray j .... WarrnArray. jj * ...~~
~~l-\\WarrnAmy j~~
~~.~ *?~~
~~... J=O~~
~~,*.Q ~am190C*. =.i<<NumW~>9,Q*~arm90.C*.9.*watt:ft-1 ) . *Q~.: *(T) ~=6_**... :~-:.:(;34.~:*K-CtoK~+T):*.:. wann. . wai;n90C.\\ :. 234:5. K + 90:x /' ~..~~
~~~-. ' -.~~
~~~-.~~

~~Q wann90C = 7.725 *wattJ(.~~
~~' ~.,~~
EA-ELEC-AMP-041 *
~~...,Atfa9hmEHlt.2~. Appendix A <- '**'pa9*e 12*'ar *"..,. *.* _; . Depth _ofFill .DOF warin.. ~if(NumWru:11>0J)OF wa~*O*in) OOF wrum := 0.857 *in. Cold.Cables~~
Calculate the Heat Generation*
j I = NumNotHot - I .. *j2 : ='it( NwnColcL.: 1 *: NumNotHot.:.* NuinCold. o) Z O**.. ft-i . := *Watt* **. A .,~~fi {¥Wti(f~up,. j ~I *n _oobies[ (w *. ~, \\;] *.n_conduc;o~[: w *.2,*o>) j]. [ r. lo*d[ (w.-.Y', ),j J'*.R. c~bie[( ~.2,: 0 *j,] *.z]***.
~~. *** Q*~old9~C =O*watt:~- I.~~
~~-_.: * -~- * * ** * * * ( Z34.s."J< -". ct6K + T_.): (T) -Q* . cold :*: **. cold~O~ _.* 234SK +_ 90-K_...~~
~~~*-~~
~~~* *. -. Depth of Fill. . J* j2 (<~.~~
~~~Mult!Group, ~~~
~~-~_cabldf.*'~- .:,~=-\\ i:Tcable~dia(( * '~~
~~;:0>]. J.)2,O*m2i *:~~
~
I WarmArrav.* *: *: * *
~~( WannArray) . * ** 1 * . =~~
l.
~~. -j = j L .... L ' 'L " ... J . : *J*.~.. . DOEc~ld ~*..,_. ~)Of c~Id = if(NumCoici>O;_DOF c~ld_;~* in)*.*.. ~DOF.cbld*:=_0,328*in ~._.__ * . *:.. :* ::-.:~~
Fu.nction for Radiatio~ fromthe*.Tray A~sembly as a Functi~n of C()ble M"'ss Surface. Temp*erat~re

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

c9nvection Functions-.
~*
~~~..~~
~~.. *. -, Fun~tion to Give the Grashofand Rayleigh_Numbers~~
~~~...~~
~~. Hol~an, Equatio~ 7~21 Since th*e length of~~
~~. ~..~~
~~--\\.. ' ~* .* :- 't- ~.~~

1 *
~~-... :~\\ ~.;,.... ~....,_~~
~~l.,. ;~~
~~~. ~. '~~
. -~ _'.

-*- : *~*
~~t*l-.~~
i._* . ~ :_(: - .. *. "~- \\;'*' . :;) ~.. the tray is much *larger th~n the width, take~'.... .. the characteristic length a~ Yzw.* * - c:- .\\-:*~~:. ~' ir. Ra( Tl_; '.i, ~).*= _C!r(I'l, T2, ~)*Pr ~i~(Tl.T~).*. Holman, Equation.7-26 -:i..: . ~:... * ~ *.,... :;_:"" ~... .. -** "t
EA-ELEC-AMP-041 .,*:. :::<*.Attachment 28(Appendix A Page 13 of Convection from the Top Surface
~~Nusselt Number~~
'I

i. *-.
~~l Holman,~~
-.,\\R. '(Tl T2. . 8 106 0 5 R (Tl T2 4 o* 1-R (.Tl T2. 3 ) Table 7-1, *
~~. 0- Ntt toper I.,T2, w) -*ti a~~
~~.w)< *.,. 4* a ,w),. :>* a ,w) Equation 7-25 .~~
Overall Convection

~Nu 10p(Tl,T2,w) __ *.
~~Q10* 1J __ *c~)ii.v_(Tl_._T2,w_) - ...... *k*air(Tl,T2)*(Tl -T2) .* (~)~~
.,: Convection from the Bottom Surface

I
~~.... *s~~
~~N_u hoticim(TI, T2, w) := 0.58-Ra(TI,T2, w)*_~~
~~Hol~~ii; Tabie i-1 <<.~~
Holman, Equation* 5-42 (Since the tray area per unit length is w, the win the denominator for the

expression fo( h is :.* _*
canceled out. ' Nuhottom(Ti,T2,w)*.. << *... *
~~**Ho.lr:nan,Equ~tio_n5-42_*~~
~~Q hot_coiw<T I.,T2, w_ ) ~.. * (*.:....**! *)*-..... <<. -_k air(ll, T~}_(T I - T,2) (Since the tray area~~
~'
~~_'per unit 'length is. w,<<..~~
~~2..~~
~~.<<, 'thew in the~~
~-

denomincitor for the
~~' r,, expression f~r his* . Q h 1 - vi (TI*, T2,w)- ='0.27* Ra( Tl' T2, w) :k. (Tl, T2)*(Ti ~ T2) canceled out.*. o _c~n~~
~~. ::_ (.!.)* _:.. : a!f 2 "~~
~~. '.1. . --~.*.. )_, . -~ jt ._~~
~~lntitiai'Values fo'rthe Su~ta*~*e, Colcf Layer, Warm Layer,* and 1-iot Layer.....~~
~~.. -~... . -... ~-~. ~.:;. -.. '. ~- -.~.. .. *..'. "~. . "**......... **t *"... '. :_ ':.* . :.. ~; :* *,.. :. *. .c*.** 3' .~ -.' ._._ ~. ". .~- '. -.\\, .:\\: .-:~:- ~*.::1~~
,~
. - - ~. ~*
~~-~.~~
.: *1*,,.

.. (.. _
~~~ -. ~-.~~
.j*
~~EA-ELEC-AMP.;041 Attaqin:ierit ~~. App.endiX" A.~~
~~Page 14 of.. -*-.~~
~~rr..~~
l *
! surtace I T. i cold 'I 1 *
.= Fmd(Tgs, Tgc, Tgw, Tgh) -*
~~IT I I* wa_nn *I. l T hot }~~
~~T suii'ace = 333.722 *K~~
~~. Tcold ;,,337.508*1<; *.~~
. T \\vann = 344.69? *K T hot= 3_45.716 *K..

T surtace -* Cto~.= 60.572*K :.
0c .. T coJd-'- Cto~. := 64:358 *K *. .. T warm ~/Ct~Ic; '." 71.547 *K. °C . T hot - CtoK ;,,, 72.566 *I(*.. °C Cable Sui-face Cold Layer warm Layer***-. Hot Lay~r *
~~_r_;}Ot_:layer. =Tam~~ FS_.Temp]act6rF*~-S~p_t~~~-Co~er_ Temp_Fact~rfoy_C~~~-Codc: (T hot~.T*filnbY~~
~~. ~~~
*. T-ho~_Iayer ~3 68.5~ ~K A! FS --~ Thot_layer -T hot*

iff_ FS = ~2-~.?5 ~K * *.
~~-arh*** ~r 1 . -t~*r* * * *.*. w* 10 *.:.warm *.~~
~~Q rad ( ~ ~~rta~~). = 7.4 I :2 *watt* tt: '~~
~~. ~.....~~
T hotJ~y~r-'- Ctci~ =.9~:44*K

°C, adjusted for fire *stop* *
~~. *** Q.top=c~~v(T ~urt'a~e.T amb: w m()d~1)~= ~-~07 *w~~~-*tr*l Q _hot~c~n~(T.suirace* T a~b_.'w m*~de!) _= 2.212 ~wah**Jl_ r~~
~~Pr air(T suda.~e:t ~b).".'o.7~~
. Q c~ld (T cciid) :: O *wat( tr*. - . : ~. ~ *.... "')*
~~.* ~~~
~~4 .*.f c_: I.~~
~~Q hot(T h~t) ~6.045.*watt*~-"~~
~~iff h*- =" 55.44 *K.. ..~~
~~ot...~~
~~t:.Thoi~-=Thoi-*Iayer-.T amb.~~
~
~~= Q hot(r hot). *: : : : HI hot .. w'". d. ** 1.oOFh***.-** **.* . mo e.. ot *,-, .* ***HI.hot*-~ 4_. 106-~writt*ff ~:in-2 . HI IC~A = i3d4 *~att*tr* 1~~
~~in-2~~
~~'.' ~:.:...~~
~
~~- -~ ' .. :*i343-K'.... _CtoK"+ T c~rid: .~~
Hihot:~ : *.

_1
~,
.J
~~. ~' !:.**. .. ~, __... . -.. ~'.... '*\\:;;t-:i~~1;j~~%~}~;~~~:-?~~;q~ ~**, ., 234.5-K-CtoK+; T hot-'.;. . ~*:**.. :._ I~~
.. *.. av:_hot *~ :*
~~~-.. --~ ICEA~~

~~I av _hot = I. i 39.. ;~~
~~. '*. -~ ~.. 'f*.~~
~
~~. ~, I ~orst = max(i ICEAu) * *;., I ~orst = LI 95 -.. ~ Loading of the most heavily* l~aded cable in per~~
~~u*nit of the ICEA ampacity.~~
~~. - Get the index.of the most heavily loaded cable TMax_Index **~ re.~erse(csort( augiUent(Inde'.<-8.n:ay,' i1cf:~~), i)) :* *. TMaxJndex' = 26 .. *:* _* ~' ...*... o_.o.~~
~~, ~*....~~
~~Estimated ~em_perature of the most heavily loaded cable. ~. '~~
~~I worst "2~~
~~EA-ELEC-AMP-041~~
~~-AttaChment 28;, Appendix A.~~
~~'" '*pa90* ts of.** * =it] I worsi>I Threslwld* l il T_ lio'r:. 1 Threshold J * . l~~
~~l T~~
j' T CioK r amh. hot_layer - . ~: .. T expMax =:=,~95:44 *.K (°C). Display = augme~t( Index_ array, Cable _data) 'eDisplay. *. *
= (... :* :C

Oau_mdex._7 *. ICEA~au~index
~~. _1-:' ~ -~..... . -~ '.~~
~~~ -~~
~~. -~~- *._.~~
i,

.*:o.-.
~~-. ~.~~
~~. -~:,. -::*.-~ . *,.~ . ~- ~ ' ..:. ~ *... . ~ ~ ';.. \\,* - *~.. --:* \\ ~.. : , ~*-. ~ '~ *. .-.~ *-~~
-. -: J.

'~.*
~~R~"tin!) Point o8t~~~
r o 10* 1. 3 o.58 0.008 o

o

1 I
1. * \\o 3*
~~o.58 (J.008 *12 o:7o7 I I 1 2 1*0 1. 3 o.58. 0.008 13 o.16s ! ! 3.. I 0 2. 3. 0.. 58 0.008 19~~
~~LI 19.~~
4'.*.12*
~~2 0.49 0.005 0, 0,*,~~
~~Display= 5~~
12

J 3. 0.52 0.005 0

0 6
~~12, 2,.3 :. 0.52, 0.005 ). Q.248' 7 12 I.. 3~~
. 0.52 0:005

7 0.519
8.
12 J. 3 0.52 0.005 JO 0.827

9 12 I** J *. o
~~.. 52 0.005 13 1.075 ! 10 14 J. 2 6.37 0.003. 0, 0 . * !11***;*4 36**2.**0:42 6.003 o. o* .* '1 12, 14 2* 0.42 Q.003.s, : 0.527~~
13. 14 6 :. 3 o.4s o.oof-o o

14.
14
5
~~.0.59, 0.00~ 5. 0.594' 15 14 3 5,*.0.6.. 0.003 o.>o 16* '14 3, 5 .. 0.62 0.903* 0 .. 0, . 17* 14 I .T 0.54 0.003 0~~
0
~~. 18, 14 22 ?...... 0.64. 0.003. 0 0 . 1.9 14 I~~
~~7 ; 0.65 0.003. 0. 0.~~
~~1 1~~
~~20'14 *.i 9~~
~~o.66 -6.oo:L o~~
o'>>

.... _; _21 ~-14 1

9 011 oooi *0 o **I

....

1*2i 14~ 4*.. 12. 1:03 0:003. o... o* _, I

:.. !:23 _2
4.
~~1:: o.5 *0.052-;41 o,.639. 24 :4 3 1- *. o.37 :0.033.37~~
o.~84

25 '.,( 3.
1 :-* *o.42 o.o:n**
o

o.-,.:.
I
~~f., **.~~~
~~26 ; ~ 3: i *:*,6.42.0.033. 51 1.195~~
~~ :.. J.!fi*'~~I:*:~:4i!\\.::;*~:~~
~~29 8. I. *1 ** 0.55 0.013 0~~
O.
~~J 3Q 8 I ~. 0.~4. 0.0~3 26 0.839. . ::.i.*:<':. - N* 0,,,_. * ~ 0 '. ~ . ~.. ~.. ~. ... ; ~ ~.. .**..... -* ~... ~-.*. .. \\,.. ~. \\,~~
' 'r*'*.. -.**
~~EA-ELEC-AMP-041.. t I !'f. *.:~~
~~Attachment:~~
28; Appendix A Page 16 of . Col. 0: Index for identification Col. 1: Cable Size .Col. 2: Numl;>er bf Cables *
Col..3: Number of Conductors per cable

Col. 4: Cable Diameter (in.) -
Col. 5: Copper Area CoL 6: Load Cur.rent Col. 7: Load Current in Per * .Unit of the Cable !CEA*
~~Ampacity~~
~~. Index of the Cable with. * . the Highest Loading:* * ... *.,... ~....~~
TM~x.J~dex =.26

. *Maximum Expected cc>>,, *,
~~Tempera~ur9-in th~:~~
: Cable Tray:'.. *, *
~~'T ex~~fax = 9S.4 :K * -.~~
~~..... ~~~
~.
~~~ ~-~~
y
~~.*:*.. ---~~~
*.Threshold Curre.nt.
~~. :,:"~~
~~i Thr~shold := *i_.36_7_.,-~~
~~. ~ : .. ~. ~ ~- .. ~:~~
./
~~... ~ --~ :* ** ~.:;*.. . /, ~-..... . *..' ~~~
**,. - *: ~* 1'-.
~~. t*"~~
~~7;.-,.:. ~:....~~
~~r 10 1 10 10 . ro 12 Cahle_size = 1 12 T' 1-12 f 12 12 012 f 4 . 14 14~~
~~14.~~
~~14 . ~ 14 14~~
~~14' 14~~
~~. 1,4~~
~~14.~~
~~.... ?j,14 .. :.:._ I :14-r. ** -i). j".-. '4 1:. !. -4.. r 0.0013 1 0.0013 1 0.001.3~~
~~l'0.0013 I 0.00206.~~
~~R ~able c= !~~
~~0.00206' * *rHr 1~~
~~. ~.. * /'.'. i : 0.00206 0.00206 - 0.00206: 0.00206. 0.00328 0.00~28 0.00328 0.00328. 0.00328 ., 0.00328. 'I 0.00328 I ., '0.00328. 0.00328. ..-:'-. c>.00328 : 0.00328.~~
~~.'- 0:00328 I~~
~~-I . '-. ! 0.00328* I I~~
1
~~. \\ 0.000203 0.000324 0.000324'~~
~~0.00,0324~~
~~.' ~ *.*. 0.000513 .~.~~
~~0.000818 0.00081~... '. ".~~
~~0'.000818 .*. *. ~-.. . f I \\.i.. : I' I I . I 2 I.I:" n cables= 1 I ! I 2' ! I I* *.-1* I 3 i . EA-ELEC-AMP-041~~
Attachment ~8.:Appendix A.*
~~Page 17 of..... 3~~
~~3 3~~
~~'. 3 2 n conductors =. 3~~
T 3**
~~3 l . ~ --. '.~~
~~_.1~~
~~,. I_ I . *. *. *-~ I I I I 36 . I.~~
6.
~~. 2. 2 2 I 3 .3 . 3 :.' 5 5 ,l. I. 22 2. /.~~
~~j i 7.*:.~~
~~I ! 4 *. ::*. '\\ 4 :, ! 3 I I J. ;. I 3_. ;. >1 \\' 2* I~~
r*
~~i .1*.. ; . l: I. j ~* :*.*. '*... 9 <. **~ -~*. ~.-. .. '~..... ~. *,_.. *:.'...~~
9.
~~. 12~~
1.
~~.* 1 I'~~
-_3 *.. ' 'I. I - 3 . *.~. . '". ~.. *.; ..... ~. *,.. ~.:.. ~.. l.. ** ~... .. *~.... .r, .~. '~.*. '*: ~ -.~. -- . -.1 * ~.
Cable_size =
~~~..~~
~~I ~ f ' - :* ~1 ~.... ~-**:. f 10 i. ,. 10. 10 10 12 12 Ii 12 12 12~~
~~14..~~
~~.14 14 14 '14 .14' 14' 14~~
1.4 14*
~~14 . 14 1*14 . 2.... 4 ~- 4* r o:58 -0.58 0.5~ 0.58 0.49 Cable:_dia = Q.52 0.52~~
m
~~. -~. ~ . 0.52 0.52 0.52 . 0.37 o.42 I 0~42 I* 0.48 .0.59 0.6* b.62 '0.54 '.. 0.64 0.65 0.6_6 0.71 1.03~~
~~o.s*.~~
~~. 0.37 ~ \\.' "*.. *' : OA2. .-4* 6*... .:.8;"**. '.-8~~
~~-=-*...... -~~
~~,.,,.v * '.. :*...... ~ J ... *.. *.;. '*. 0.99 \\*. ..Qj3 0.55 0._84 J 0 i2 13 19 0 . EA-ELEC-AMP-041 Attachrr.ien.t 28, Appendix A.- Page 18 of~~
I load=~

O
~~~amp . T*- .3 7 10 13* 0~~
~~o s I* -~~
oJ 5 0 .0 0 0 ',0 .:o... O*
.I 0 *I*.

I

.I f41 1*:
i
37 o*

SL
~~... ::.)_;*.**.* _:_*.i},,(.:t *.**,:;:.... *.~~
13 o*
~~26 ~: :-. ~-- .~: '. *~.. I . ~ ' -~~~
~r
~~. :- -::~~~
~~>:,... =~~
~~_.-~~~
~~-*:~~~
~~.. :.*i-"*:.~~
~~..:'i:.,~~
.- *<-} t"~ -j.';,
~-*. :' l r : IQ 1* 10* '*.10 10 1*2 Cable size = 12
~~~. -...~~
~~. ~... 12 12 12 !2 14 14' 14- ,. 14. . 14~~
~~14.~~
~~14 i4 14,. '14. '14~~
~~.14~~
~~_ 14 2 ~.. *- . ',* -~:,..., .. --***,I: -~:... ;.~~
.-: r

\\.
~~"a-/* . r -.1 16.983 !. 16.9831! 16:983 I 16.983. I 13.959~~
~~1. ICEA *=.12.095 :amp'~~
~~-~.. 12.095 . 12.095 -12.095 I 12.0951 8_.353.: i 9.482 i~~
~~I 9.482 _I I~~
~~. *8.848 i. 8.424~~
1 *
'8.567. ., -I . 8.853. ! _*6.517 __ J_ I -7.723.' I '7:~44 J 7.024* I. . 7.556 j **. . -~- 0 0.707 Q,765 I. Ii 9 0 EA-ELEC-AMP-041 Attachment ~a. Appendix A .. Page 1 ~fof **.. * . ~ ' . ~~ I ICEAu = 0 . 0.248' ci:579 0.827 . 1.075
~~0 0~~
~~.0.527 0 0.594 0~~
~~-. *a.~~
~~0 0 Q 0 0 .i 0. I 0§;9 I 0.984*1 * ....)' o I, -. ~-.:* ; *. '... -~. .. -~: .l. J 95 . 0.823 "~~
""'1 **

I
~~..~.. . *' 0.616 . '... ~ . 0 *. :~ ' '( *.. o.839 L**. _.. . '*. ~: ! .. ' * ~~~
.---~< :.*.**
~~-~,-~~
~~/.*.*.....~~
~~.. __.*.. '.. -:. ~ *.; . ~'..~~
j
~~... *.... ': ~-.~..~~
~
~*~-.
. ~... '.\\ . ~. - EA~ELEC-AMP-041 1 r 24.. -?-:~8~. 3*. o.'411. 9.843* 1 o 3 l. 30,-0.839 1 *. 0. 706. 8.385* I 03 s 0'.827
3*. 0.811

8.267* io3 21 o.823

o.98

8.234* io3
~~., :,}1.ttac:hn.ient.:28, Appendix A.*.* * :; l t.L . Page 2C>'i:)(". *...... ~. ~.. W annl\\J'ra~* = 2~~
~~.0.765.~~
~~I 0.336 7.654~ 103 0.707 I. 0.336 7.066* 103 ~' , _::-,c e -=..... : :- . 6.389* I 03 :~~
. The warmest cables are atth~ top of th~

28.'*o'.6* 16'. 2.. 0 2 g'. 6. "6 o3
~~'list an'd the coldest cables are n~ar the... 23 0.639.4~~
~~. *I~~
~~.1. I* I bottom running to (NumNotHot-1 ). The hot 14 0.594~~
~~1. Q.348 s:935* l03.:~~
~~cabl~s are at NumNotH~t through.. *. . 3 * (Data~size-1). (Mathcad number5 arrays :. * . 7. 0.579.L 0.27.5.787* 10 3 . beginning with o in c ~tyle.) *: *,,.~~
~~12 0.527 *I~~
~~o.176 5.273~~0.,~~
I . 3 I Warm cables will always be taken out of. ., 6 0.248. 2. 0.541 2.48* IO*
1 WarmArray from the top down. 9old. * *

1s O
~~,.: 22 *9.0 11.1.: .. cables.will,alwaysbetakenoutof ".:~~
~~~~* -~*; *.. -:: _:~~ * *~:~:~~
~~4 ~::~~.~~
~~1.. War.~Array from th'e_ bo~omup.: '-:'~~
21 0. ; :~ 7 3.529 0.392~.., ~.*
~~13. 0~~
~~'6 1.382' 0.153.. 16 0 l5'. 0~~
~~'3 1.153 <0.1-28~~
~*,*

3*.

1.08 o.*12..
~~'F **.. -.~:... ~- . *~,. *....:*.. ... :~ ~,. .....-,.. ~. ~ -. ' ~*.. .. -:~'... ..,. ~ -~~ .*..... ~....! ** ' t' - - ~. -. -- : ..... ~. *:~~
~~'. ~; ~~~
~~-** '; '.. - ';:. ~. *, '~. .. '*. ~*.. ':*1;.-.-.. . ~- . ~... -~ .: -~-~ ~... -. ~ r-_;,.~~
~;
~~~ ** -~r- ~:~~
~~I..~~
~', ;... -*:-?.
~- ~..,.* r-24,*_ J l
~~10* I I JO 4~~
~~8 3~~
~~Add Pointer= 5 1~~
~~. *~ '. *..... ~:**. 27 I 19 2,. 1. 29 *1 0 i 23 4. 19 I 28 2 25 3.~~
14*
~~1* '20 2', 7, *.. I I 5 "3~~
~~12. I 16.3' 6~~
2
~~tJ... f~~
~~0th column is pointer to cable data*. 1st column~~
~~. is the number of cabies' in the group.~~
~~... ~..~~
~~.... l ~~ : I.. '~~
~~, ~i j.~~
~~. ' ~;:.~.-.-.. ; ""*~** .*,'..:.. :=~~
~~. *-:~..~~
~~.. -*, *-~.... *... =~ ;.. ..r: DOF * *1'= tn~.~~
~~~. ' - :..~~
~~.*)._, .1 EA-ELEC-AMP:.041 8, Appendix A~~
... Page 21'* of* i.. "l;.:1

Atfoc:.t.""c"'f. '29 1 f>~,~) '{ o(, 3lf 0.395 '.*
~~.0.505 0:542,' 0.731 0:796 L013. i.086 l'.349*. 1.427 '1.518 ' 1.599, 1.689. 1',119' 2.048' 2*.161 *. .2.219: 2.'361 2.455~~
~~. 2.689.~~
~~2.761-' 3.051 :.~~
m.
3.098 3.408 3.553,.. * . J.924 4.871' 6.0 I 7.71.4... :* lo:*r32*.*
~~_, ~ *, :,..... :.'~~
~~. :: ~. _c...~~
~~... ~-;:~~
~.. ' .. -~ ... ~- -~.. '. .* ~ .... ~- .~*:.
i ,..; *:_:' ~~ELEc.:AMP~041.:.. :::. "*'.'> ATTACHMENT 31 PAGE 1 OF -~ 9 ATTACHMENT 31 The purpose of this.attachment Is to provide the methodology for determining the_ampacity derating_factor forconduits carrying both power
and control cables in a single.conduit.*
~~~... t' .. ~ *~'.i-*:. r/* . t . ~: \\~~
~~1."~~
~~_*-*~. ~..... . _ ~:~~
T.*
..\\ ' '. -~ ~.. .-~. .. *~*. '. \\ - ~ -. ' '.. N . ~ .- ~
, r Methodolqgy - EA-ELEC-AMP-041 Attachmen_t.31 _- . i -Pag~::2 6C- a single circuit:~th . _. no oth~r cables' m die coQ.dwt is' 130 amperes accdtdmg to _AIEE S-135-1 / IPCEAP-46426.*.
~~The cbnductor tempel'.'clture. of conduits contammg l,_2,J, and 4- ~rcu1ts in-~J" c~nduit and. _-.** _ *-~~
.,... _ :', ~ (2~_md 3 __ -rucUits_in as*' conduit plus sufficien~2 ~onductor#l4 AWG control cables to fill. 4,0°/o ofth~cohduitcross*sectional area of a3* co11duit are-calculated using a Mathcad_sheet. :. -_:_-- -_.. -- - -_-. The load current iri the po"1er cable$ is th~ adjmted by hand to achieve the rated. cond~ctor _. ->. - --~--~ -: _... : __ <~~ ~~Peratlire of~_o 0c.:The ~pacity .. lnwtiplier is di~ tliean;pacity of_ the cables iii ih~*t~i :'.~,*-. **-* -_-. --. conduit divided' by the nominal ampacity' of 1_30" amperes. ' -; *,: -- . ~<": ~.,- ~"._'
~~. ::- the Mathaci she~t used f~~ the C3l~atlons. is. a *m_odificati~n of th~ Mathcad:shee~ ~edJo~ :._ * - '._.. * ----~~
__ :,:*the Calculation ()f tjie condu~or tmiperaturebf cables iii aco~~foit in fr~e air. The prilldple-:* -. '. <.'<:*_-:. :. _. niodifications is that the loa4:cun:eniS of the-power cables are multip_lied by a factor-F ~t:* A:. -. *. M~th~ global define statemen:t is used so that F ~' can be set near where the conducto~
c t~perature is disp~ayed for convenience.< *
~~--~ l ** * -~~~
: *:i ~:.....

-.. _.:;itlun the Math~ s~e~i;* the ~bl~ in the collduit are di~~ ill to thre~ ~~ps. The ca~les _. _-* '. > :.
-*;**-** _-_. *-that ~e Unloaded are considered "cold"~ ~dare aSsUined tost!rround thec;th-er(;ables.-The _- -.--_-: ~*
~~group ofcabl~-that ge~erates the "maximum amoWit of heat per unit vol~e 'are the *"hof'.' -::~~
"- ~., '*" ~ ----.cabies and are located-~ the.center of all'of th~ cables. Cables -th~t are neither "hot'i bi"~old~ -- - * - are co~idered~~*-"cabl~~.Th~ "wcirm" eabl~ are fo~t'ed betWeen the -~cold~ aiid "hot,;-:~..- . -., ~' --- ~ :. -: -~bles~. (Becatis~ 6f th~ ~.ature of th~* test eases :tiseci in this *calcul~tion-the cbta oiiiy c~ntairis::.* *. :_ '* -*
~~~h9t" and"cot;z1.:*> :~~
i > *; ~ ~ ; :. ~ * . - - *l . ~* ~. -'. The *conduit tr.ide.s!Ze is entered into the MathCad sheet. The inside and *outside diameters of*. * *
~~~ the* ttindUit ~~~
then.-be determmed by a lookUp tabl~ in. the sheet. The conduct~r size, *. * ~ :. "' ___ -*. :* nuniber_ of cabl_e$in the group, nuD1~~r of co~dU:ctor5 LO: each. ~ble~ -able cfum.leter{ ~bl~..,.... - . ~--~*--<_-.:_-*-... area; and'lo~ ~qent for-the cable i$ read from a data:file.. The.-cqnductor resistance of the _- ",>_.:*. _ - varloui conduct~~ are'dete~~-fro~*the conduci:orsiZe ~mg another IC>ok~up table~ The -. .-;.*.. '.f -~heet thei{c31CUiates the* ~eat generated *b:y eaCh cable group. Next, the sheet divides the heat 0:;._. ;.*, -. gene~ted by each '6ible* group by the area.occUpied* by each ~ble group tC> give the heat - - -~tensity for~e cable group~ _ID: order to facilitate later C:cilqilations;an arraY, Hot_FlagiS set._: :*"
__ * -- __ ~,)*"

.*~,~.:~ *.
~~~-. .,,~<.',.,~~
~~.... *~:~~
~~~...~~
~~.-l~~
r.
~~~ ~.:.. ... ~.. ~- - ~*. ' -..~~
~~.. *.:j..~~
~~"~. .~*. - '- r:~~
~~-**' t'~~
~~. -~. ...... - *. ~. : *~~~
,1' EA-ELEC~AMP-:;041. *

Attachment 31 * * * * *.
.. > *Upage.*3. Of:::; *.r: '::, up. Each.mem~er 9f Hrii _Flag is set to. 0 _if th~ cable group genera~e5 no heat ("cold~), 1 if the . ' cable gen~rates heat b~t do~ not have the greatest heat intensity of aU. the groups iii the. 'condwt ("warm"), all:d 2 if the cable group ha5 the liighe5t heat mten5ity in the conduit., ("hot"f *.
~~~...~~
Using'Hot_Flag to classify. the cable groups, the sheet calcuiates the area-occupied the ~cold",*.*.* ... "Wami", and "hot;, eables. Since. ciratlar.cables will have sp~ces.between them when they are.** < bundled together, the 'area ~cu1ations ~ethat the eables ar~ square to allow fOr 'this. " : *.' *** ~ *.
-~--

.. additional cir~ when 'ther~ is* ind re than one cable in the group~* Ba5ed on. the area occupied by..
. *
~~each layer, the diameter of the laye~ can then. b~ calcUlated... *.. --..~~
~~*.. : ".*... *.. * * ; :~*~~
.*' ~ '. *The heat-gen,eraieci by'the "w~" and "hC>t".iayers.is th~.~culateci T~e'h~at-~tensicy of'.:.. *, .. "ilie two layers is ihen* calculated wing the areas of the laye'is. Also, the total heat generated in *.
~~' '.. the conduit ~ det~rmined. All of tl,ie heat"calculations are based oii cable conductor~~
~~.~. ' '~~
** tempe~tures ~of 90°C, the rated operating t~perature of the* cable coridU:ctor:s~

o
,*'0 'L . The. siirta~~ tempe~~i-~ ()f di~: conduit can. ilien: be. ~~at-~.'.The heat ciisSlpatec(I~~~*:fu.~.. -~ 'outer.~~ace by 'convection an~_radiation is first written as 'a. function ~fthe Sµrface: ' ~*,',,. - ' ' .' '~ " .. temperanire~ These eqtiatiom ean.be'solved iterativelyt~Jincl-the surfac~.temperature at --.*.... : .. -~lllch:the to~ ~eat clkipat~ m.,: the condwt equah rl?.e. heat_generat~ ~id~. The? _* *.. ~.. *.:~ * -
* '.*.~ J-~*.:
~~temp~rafure <<4-op through the conduit' itself <:an be calculated b~~ ~n-the* 'c6n4uit bemg a ':... ' ..:,'( .... h<?,llow cy~der *.... :_. ~- : - --r:~~
~~~ :~~
~~.*... ~i .. ~ - ~.~~
f.
~~~ ~ ( . ~ ~~~
~~The* teinpe~ture drop.throu~ the air gap between the ~ide surface o~ the conduit and the.:~~
v
~~. outer surface of the.cable.mass is then caleulated using the semi-empirical formula-~ve~-by-',_. * * '. "-- '. *.~~
, **

Neher and McGrath. The tempe_rature _drop through.the "cold" cables is eaicUlated by treathig the."col~"layerasahollow'cylinder..*.". :
-~*. * -_* _... ... The tem~..;.ture cin>p ~gi; ~.V>'.:. c3b1" lay~<has 1"'0 ~Dipdllen~'. ;~ tem~~ * ** * * * * ~ * '.. ; ' - :drOp cawed by the flow of heat f~m the'"hot" eablesirtside is calculat~ by,tteathig.µie. ' '. . '.... ---"~" eabies ~ ~hollow qlin~.. &i additional tempera~ drOp iS ~used by the heat... : -' : :.
gene~ted Withiil: the.-"warm" fayer. Tb.is temperature drop. is calculated by. a form.Ula similar.. * *
" *" ".- tc>'that giv~n in Section 2~s '<>f Holniaii; except the equation*~ fitttrl' tQ a *different initial;.. *: *. <.. . **.. *. ::-'.. condition to aecowit for the hollow.core' of thiS layer.* -.. :-: .**.. ***. 11i~:i.Ltuiei,P tlm>u; die "hot"la}'er is calrula~ ~ ~~~*, ~~tioaH6.. :. **.,
~~. * *.. :.The conductor tempenfure iS then the surface tetnper.iture of th~. co11duiiplus the ~~~
~~of the, * "."temperature 4rol>s described abo~e~ *. :. _~~
~~w J,'I:;~~
~~~ ':'*_.;.i~: __..... ',,:;.... _--:.~.. \\ , ~. . ~-; - . -~... i. . : : */.... :. *~ *,..,, " '!;:~/.. . *!,.r ** *:*,_-.* ~.., - . \\.. ~-......' ... *. ~- .,'\\~~
-. **~- :*
~~~. Results and Conclusions The resUlts of the c;as~ examin~ are as follows:~~
~~Conduit.~~
~~Mathcad.File Number of Power Cirai.it:S. Nominal Size Name 1 3". plc40s.mcd 1 5" plc401.mcd 2~~
~~311~~
. p2c~Os.m:cd*
~~2 5,"~~
~~p2c401.nicd~~
~~3 3".~~
~~p3c40~.mcd~~
~~3 5"~~
~~EA-ELEC-AMP-041 *...~~
~~, _;,; Atta~"1ent 3.:~ *.~~
.. *.**. *..

p*age 4 *o_f *** **

Ampacicy Multiplier 0.915 0;955.
~~0.688* ~ :* 0~722 0.584 0.615. ... : -~;.. ~ *.. '.,..,.-,~~
~~p3c401.mcd 4~~
~~3" p4c40s.mcd {' 0.519 ,.. i~~
~~1. * *It: is wilikeiy th~t all. of the* pow~~ cabi~ ~the_ conduifwouid be loaded to.the ~t~~
... *
of their ampacity due to load diversity arid the selection of cables with ~pacity.. * *

high~r than the rat~ load Curreqt based on. available cable s~
~~(granularity)~. *..- .. I ". £. The r~u ~fthe fire stop:t.ests. (;amed out in M~ 1997 indicat~dthat:~ce.wa}rs. : *.~~
~~I :* *.::..... were ret~tively cool_~ indica~g that th~ operating conditions encoWit~red ill norlli_cil *.~~
. '.*
~~1 *:::' -~.... *.station operation are,less sev~re than indicated by the Calqu~tions "...::*.**. *.~~
~~. '/ -. .. ~-.~~
~~.~ *.-...~~
~~~.. **.~~
~~.,*,:.f:'~~
~~I ~~~
~
~~.-. :*;. : -,.. ~. - ....o; . '*>J-.. . 1 "*: 3.*..;h~ ~ci-~~~ea o~~i-~ by po~~r-cab~es ~ ~ed~ce the. ~'-.a~able for*~~>.. ;~~
I

.,.blank_et of control ca~les;........
~~... ~ Number. * ~pacify '> '".. *.. of Po~er .¥~tipli~r. . ** CuWits.~~
1
~~"'.~* *'. *:*.~~
~~. *.. ~....~~
' ~ _*:~-* :. :.*:. 1----.-----+---------1**" 2.*.. 3 .. i .*. t 69%*. 58%* 52% 1, ...., ~*.*
~ '.-'*
~~... :~........ i.. . ~ : ~. . ~*'.~~
~~. '*... *.*~:*.. ~..,...~~
~~, J", ~ '-.. I,~~
.~
~~'.. ~... ~ -.. ' ..*** -.... ~ ~~~
~~. ~- ' '.~~
~~,,~.. ' :. ~.. ': "*..~~
~~-:--i.~~
~~EA~ELEC~AMP-041 1~~
i..

Page::5.of'::;
~~Referenees~~
~ :*
~~A*** . *-*~. .~~~
~~~._ *.~~
.. -~.. ~:. .... -~*
1.
~~2: 3.-. ~* :.. : Holman,]. P'. 1981. Heat Tra~sfer. Tokyo: Mc<?raw-Hill Kogak\\isha, Lt~~~
~~.Neher,]. H.. and _McGrath, M. HA957. The CakulatiOn of the Temperature~~
. Rise.and Load Capability of Cable Systems~ AIEE Tr~nsaaiom on Power Apparatus and Syst~s. 76. (Odober): 752~i72.'* IriSulate~{Power Cab~e Enginee~ AS~ociatlon_ attd ID.slllated ConcluCt:ors * * *. Committee. of th~ Power DiVision;*AIEE 1962.. AIEE Publication S-135-1/ IPCEA Publleation P_-46-426, Pawer Cable A,mpacities, Volume 1-Copper.
Conducto~: N evl Y ~rk: Americin Institute of Eledrical Engmeer5... * * ** * * *
~~~ ~*-.. - "t-,. -~..-- ' ~-. ,*1~~
-~
~~\\:..~~
~~~:- ~:~~
~~.:.-~ --~ .: ~. . t. !,,. __..., _1"'" ~-.:..*-.. "*fa.-:'* .../ ~ *_. -~* '. . r: .. ~ -.. .* ~ J ~.. _._,~~
~~. -~~~
~~. -~- ~ '.~~
/
~~~. .. *- ~ ,/ .~. .. { -~~~
~~~*-.. ~--~~
~~EA-ELEC-AMP-041* ATT~~
~~'!-. J~9.J:f.~ENJ' 3t:: ;:';~~
. PAGE 42 OF_. .~. Test Case: Three Pow~r Feeders in Conduit; 40% Cold Fill-p3c40s.mcd. - Conduit Ca~ ... :. *Condult_Trade_S~ := 3*~ *' enter cable oat&:,. =Cable data;: ' ( 2.9 1 o.s 0.0 130 1) ~4 2s 2 o.37 o.o*. o o.
~'-... *.*
=

. * :,. *o&ta_siz.c := ~(C~blc_data) * -:
Data_siz.c = 2 Data_inde:x := o, 1.: (Dat8_siz.c -1) _ *
r.
... _Iadex_amyOata *:~ Data_ind.ex, '. ~ .:.~: -*::.. Number of cable groups in *the data ** '** ~. .. 1 P~-= SOO*Kcin~~u:-} lnSutatio~;*. P~. = 400*!'*cm:wau* Cable Mass(Stolpe) : ~.. * 'pj~~~-=.50o*K*-~~:-\\\\'at(tJacket.:.*: *.,;~:: 2.'0S*K*~~*wa~: 1 C~duttth~~alAAn~~~' . (S&L Standard.ESA-105):
... ;*. Ambient Te1np~ature. -_

-~....
~~. -*;... ~ TimbC :*= '.'°'K:P:*c~:/.C*::**:-:~':,.:)>:/>"-* *, ... ~ .~.. MJ&ceu~n~U& ~~~'.:~:\\~* . ~**: . *.~ . **~~~
St8ta~Bottzmann const8m* * -~

8.* *.
.. 2. "4.*
~~.*. *..*. ci:= S.669* 10. *W&tt*m* *IC *:~~
~~,.1,:. -. Holman, page 307 * ... e ~;:= 0.33, Conduit erriiSsivitY '._.~~
~~.-**'. ~..~~
~~Co'1version factor.between degrees GelsiuS and Kelvin.~~
~~*.. CtoK.;= 273.tHc: *~~
~~~ ,J. ' ~ ~... .....(;; . *. ~~~
r
~~. *:~-. .:1.* .-** 1 .;\\~~
~~.\\.~~
1.
~~'* ~.. c :.:*. ~~~
~
~~.. *,.I~~
~~--~-:*.~~
~: *.* :*-:.:~!. ~* :.! ~.. ~ ..:.- *:::Y* . ".... *~ ~ ;<
EA-ELEC-AMP-041 ,,;.ATT,(\\CJ-JMENT 31.,,,.. .PAGE 43 OF __ _ .. conduit Data Inner and Outer Diameters. Theima_I Conductivity, and Emissivity ~. 0.375 0.493 0.675 . o.s 0.622 0.840 0.75 0.824 1.050 1.00. 1.049 1:315 1.25
~~L380 i°.660.~~
L59 l.610 1.900 2.00 2.067. 2.375 2.50*
~~2.469 2.875 3.oo. 3.068 3.soo~~
~~'3.50. 3.548 4.000 4.00.4.026 4:500~~
s.oo *

s:041

s.563
~~~.00. ~.065. 6.625~~
~~Reference:~~
~~ANSI CS0.1':'"1966 Note:. The inside diameters for conduits built to ANSI C80, 1-1983 and later are someWhBt different. The 1966~~
~~version of the standard was selected based on the~~
~~.. commericaloperating date of Palisades Station~~
~~in..~~
~~. I*, '.. acondi* = IUiterp-(conduit_~izcs~>.~t,.~~<t_>.C~t~Tz:adc_sizc) d~~mdL=3.068*in~~
d ~:

= ~(Condµit~S~ ~>>. c:Ondui~_size=I~>. Conduit:Trade~s~). d ~
~~-= 3.5 *in: .,~ '*,1' -~ ~.. ~ ~' . *";_.=*': . ')..<.** I ~ '. '~...~~
~~... ~~..~~
.r
~~' ~ -- -,~:.;* ~!.* ~ *-. '... -~ '. -~. -.. ~.:. '* *_;.t-;~~
~~.{r __ -.*.* -~~
.; _.. _ -~/~ ..... ? ~:~ . --~. . : ~ ..... ".~~"..-.~ ~.-.
.I. EA-ELEC-AMP-041.. ..... *.... :. ATTACHM.ENT 31 )' >,** '.. ! *::* ::: P~G~*~ O.F::*. ::. Look~ Table forCoriduCtor Resistances at go*c (See Sargent & Lund'/ Standard ESA-102) Table _sW: ~..
6.

8.
~~.. 9 10 12 .. 14 : 0.0161 0.0203. 0.0324 0.0513 0.0818. 0.103 0.130**. . 0.206 .0.328' 0.523 .. 0.0128 Table_resist '.= 0.0101. }(r 2*0*ff 1.. ~ .'7*' I~~
~~. *\\~~
~~~ 16 110 210.~~
~~250*.~~
~~300 O.OOS42 0.004S3' .O.Q0804 0.00389 0.00341 0.00639. 0.00275 . ~~~
~~~,'~~
~~'*.*.1 l,. .. \\:.. *:... *.~,:.~~
3fo:: *

3so*
~~400 _.i** 410 soo. 60Q ~*. 1SO 0.00231 0.00187_ .. 0.108 0.211*. ~: . *~*. . - *:... ~*.... . -~~~
:** ~l~,~~ :=Cab~ data~:>>--~~* ~lcs~:~Cable-,~ca< 1~ N~-~~*--= Cable data<J>' *

.. .
~~~~.....,-~-. eabh:_cia:_;= Cabie~da~'.?:~*~*I1oai~:\\~able_data _.*F cumnf~..~~~~
~~~~. ~*:.~~~~
~~~~... l.. *. --~ -.:,. . _.. ** ~-~~~~
Q ~i~-*~; ~~eables0... ~Lixm:Nuaiber~c:OOduc~0aaa_~* (I 1~~~)._

C~ff
~~~~.. :,:_.. iQ~i~~~ *.. :._ **.. '... : ;. >: *<'. *:-~~~~
.~*: Q~~~-~*::. ~-:*:a.tr' ~*:***: __ *~(Table~sW:,Table_resist~C~~le~s~oaaa_~) :.'.., '****
~~~~. ~--. _; ~... *. .. :-..* J. ~j'~~~~
~~~~. ~~~~~
Hot_~~-*~.-~'1t{Q density**.;**:_:*.* ?O:~a::,r '*in: 2:1.o) *. . \\ . oaaa_~ ~. *: ";. . -.. ~.-. .*.~.: ~*. :.; '*...;r.t*
".~

.- -~
~~~~. *:.~ "'.l.~~~~
~~~~.. ~::~~~~
. " ~
EA-ELEC-AMP-041' .. ATTACHMENT 31 u '> '::; !::i PAGE 45:0F :L -;;* *=**
~ 1

.. *~ '.
~~~~~ . *. :. *r .(* {.. . \\. )). .. Q de:ositv Temp:= reverse1 cson augment lndex_llmly,~~~~
~~~~., l.~~~~
~~~~\\ '\\ . ft" l. -2)~~~~
. watt*

LD Hot_ index =O
~~~~-1'* -2.~~~~
Q demity * *.. * - Hottesi = 0 *watt* ft

LD..

Hat_indml
.
Hot Flag new has value& ot.

O for unloaded cables.

1 for '\\Yann" cable&
. 2 for the hottest cable in the conduit: Diameter$ of Lay~rs. Diameter of Hottest Cable. Number_~lesHat~indu =? Area*and diameter of 'Warm".cable layer *. (Data.:_sim.-* l').. . >:A~::...* *~. 2J... i4~~t_Flagj*t',(Cableji~~) 2*N~ber-~blesj,o.in 2 J: .,_~... . *.j*O. (DatA:_sim -.1).J. *.. * *, (Cabl -dia )2* '.. :. * *. ". *1"".... . .. -A~ __.......... 2:.:.. 1.Hot_Flagj*.I,
~~~~~.. j~~~~
~~~~.*it*Number~~iesj,0*~ 2 J.-*_O .. * *d,..an _':2J ~~~~~
(d ~ (~ * * ** dwmm ~ 1693 ;~.... "? i... ::. *
~~~~..... Aiea a~cf diametei ~f "cold;. cable layer ~-*. '~* ." (Data.~iz.e-1)". <',.;.*.... Aco!d = *.. "°2:.'-~~~~
~~~~~Hot~fla~j-~O.(Cable_diaj) 2*N~~~biesj,O".i,n 2~~~~
] ~~cold*.=3.S3l.*in 2 . fao*. .~ ~. . -~- .~ .. ~ - *. *- o* ',':,L:, .~ :;. .--.::.1 ~ . * (~~s~-~1) 1* ...>.. * (Cable_diaj)~ * * *. :... * *., *~i -**
**. Acoldf.. :". -~,.. -L *.:*.

Hot_Flilsj*O,
~~~~... :x*Number_Cabl~J*O*m. : .. *_. *.*_:_,. j.,.o*.. 2 ... ::.. :. :. A... *. (d... *)1 cold wum * . d*cold.:= 2* ~ x.. 2 -. r -'..~-:~~~~
~~~~-\\. \\.~~~~
l EA-ELEC-AMP-041.. . ( 2 . dcondi\\. . A cond := ~* -:-j.*. 2. ~ 2 A cond=7.39~ ~m.*
~~~~A eable *=~~~~
~~~~.* 2. Acablc=4.778*m.* . *. Ahot£+A~+A~ - Abotf Ac:oldf - -. Awumt Fill u :i: .. Fill~wcr u := - Fill cold u := Fill warm u := ---- Acaad :.~~~~
~~~~Accmd Ac:aild~~~~
~*.**.. Acciad H~t* generated by hot cables;. Qbot :~.Q ~J~ .. -~ Qhot =io'.5J'i'~\\vatt:tr 1 - : Heat generated by "Wann" cables. . * - (Daia ~~:-'I) Q~ =-:_:.:.: 2:: if(Hot_fl~gj~(Q.~1~.* ~*wa~*tr 1 ) --Q~,;0.wa~*ft-.{,.:-.*.:, j aQ. J ~*- -.~**
~~~~.* :*_.* 1*.~~~~
~~~~~-. . ~*- ' *~ ';,* *'f- _..,\\* . --* ~--. . **i. '.t ~.*.. ~-'..~~~~
~
~~~~~---...~~~~
' *. : ~. . ! )~ ;...:1.
~. .... ~. EA-ELEC-AMP-041 ,* j,::, *:~Tf A~-~~~NI 3t:). -PAGE 47 OF ---- . Calculate th.e Surface Temperature of the Wrapped Assemb.ly Note: In order to solVe the energy balance equations. the f!qUations for the heat. -dissipated by the wrapped assembly Will be written as functions.of the surface temperature. The. area of the wrapped conduit per unit length' is equal to.- *- 1C. times the diameter of th~ wrapped assembly. Heat.O~pa~d b_y Radlapon, ._Qr<~:= 1t*d condo:~ cond-cr*(r4 ~:'r ~*). . Q~(n *tlhv~U*f*~~i)f;.:t)~***d~(T-T~) ,**~*. '. 1".* .. lritial guess for iterative s~lutlon of the surface tempeniture.of the wrapped conduit * . t
_= 330*IC sums*
~~~~.. ~.. Q.total-Q r(r~}.+_Q c(T ~)- '. Heat dissipated by radiation' and convection.. -. ~.~~~~
rm..t equal he~t generated by cables~ *
~~~~'l._' T caado-;= r~(T~)- *:>_,. ~>~ ::'.,:. --~. " surtace tempera~ of the*. CQf1duit. ~-. -:: ........ ~ ~.-~... ~. *,. .. ~- .. ~. '.... ~*. ::.* . : ;_. ~. . ~. '..... ~... _.'~~~~
~~~~,. ~:...~~~~
~~~~. ~-~~~~
t ~ ; . L ' . ~---*****---* ~. J ~. .. '.i ._\\;... .".J,
EA-ELEC-AMP-041 ATT~CHMENT 31.
u *'> '::~PAG_E4S'OF:2_

J. *;;-
~~~~~ :::, *.~~~~
~~~~Tem_perau.i,e Dr~p ~ugh the Go~dllil * *.~~~~
~~~~. * ~~*cond *= -~~~~
~~~~1-Pcoriti:in(d~)*Q ~o~ *.*See Equation 2-8 ~f Holman* -. 2*JC d cond.i~~~~
~~~~. ~T ~~~~~
~~~~=Q.015 *K~~~~
~~~~_,(-~~~~
~~~~~ -.: : ,..~~~~
TemperatOre Drop tt1r0ugh the AJr Ga~ 1nside,_ttte:conti:*. ** * *

. Consta~ for Neher-McGrath FormU;la fo~*Temp~ Drop in th~ Conduit'Air Gap *
~~~~. -. :* **'1. '. '..... A':= l2*K*ft*watf.*in._'.,~~~~
~~~~B' := 0.19*in~~~~
~~~~/._ r*~.;~: r~;,~~; ~:8~:~.* :_*~!em~-~~ at ttie o~de surta~e,ot1he cable m~~- . r'.- ,;.341261~1,,. ** * ~ : . ~-:... '.. * '-~.~~~~
~~~~-. - ~~~~~
~~~~... T . - CtoK =68~llf *K (°C) *, *: 'ID&IS,.~~~~
~~~~. ;i;:~~~~
~~~~Temperature drop thtOugh*the "cold" cables: i' - .,,~ ~ ~.. J ~.! . -... ~ )~~~~~
~~~~" T ~~t- ~T c:o!d*:: *. t~~=3~2.199*K. T Cold - CtoK.=79.~9~*~C;*:.,..~~~~
~~~~~.. ~~~~~
~~~~.. ~~~~~
~~~~~*** ~;:.~~~~
~~~~~'.~~~~~
-~ ~..... ~ " . *'* _*.*.:.*~*
.t
~~~~. -*\\.. -. -~. -,.:,\\ Temp:erature drop through the 'warm" cables_* l .*.kmas~--=~~~~~
~~~~Pmass~~~~
~~~~.. *.. :.. *. *... ('r --) lit Wann. = Q hot' p mass* ln warm~~~~
'

2*X...dhot
~~~~~;... . ~T wann =Q*K: ~.. i 1 T~~~~
* *= t:-..1..1 + 6T * *.

>f * * "" cioK.,;79_049 *K *c
~~~~,. wann. *.. ~- .~- wann ... -~ Timperatuf8 RISe through the hofoabl~ ~.' * -** . :** ;,l.:..:~~~~
~~~~~*~* _.!>-~~~~
~~~~Ho1mar1; i:qtlation 2-26~~~~
~~~~:~T hot'.= 10.997 *K.~~~~
~~~~.~t ;.. __ : '* ~~.. *.. :.~~~~
,1

._.;1 EA-ELEC-AMP-041 ATTACHMENT 31
~~~~~: PAGE*49.-°<)F ---.;..-~~~~
~~~~. ~.~~~~
~~c*,,- '1.,,_; .. ~.. *.. . ~*.. .~ _*.. "'.. <*~. ,-;.. *'I": d,'"':, . :.* *~. -. . ~.;:;. -. ':;... ~* ~;* _;._.. '~*. ~-,\\" *-. :*. i.'*" ,~.-. -., : -~ *~. '~ *. ~-. .r *. ~ _.~~
~~~~,i:~~~~
~.
~~~~'t". aUSIJient(IDdex_~,Cabl~_data) =G ~ . -~.' (* O:to~ = 1o;s:31*~tt:tr 1 Q Cable.. = l 0.531 *w'iut* t\\* 1 -not index . '.~ -~- -.:=:~~~~
1.
~~~~.' * :r... ~.. 2~~~~
14
~~~~~< *. 9 1 0.5. 0 130 ~*) 28 2 0.37 o*o~~~~
~~~~Fill_power u =0.239 Fill wann u,;.O.~~~~
~~~~Fill cold u =0.407 .. ~. -~.* ' EA-ELEC-AMP~41 ,~TTACHMENT 31 ,PAG,~ s(>>oF,. '* :1. ~..~~~~
~~~~~,.~~~~
~-* : * < * ** . *~ '
.*ii
~* ***

I
~~~~---~-.. ** EA-ELEC-AMP-041:..*.~~~~
.

Page 1 of_*_
Revision*1 ATTACHMENT 34*
... Methodology for Oeterrni.nin*g**
~~~~~:;'_~:: the Conductor Temperature *.. . **.of Cables in Conduit.. 'Routing* Points;:~~~~
~~~~1* ~,.~~~~
.~*

-.
~~~~__ J~~~~
~~~~~... ' '~~~~
~~~~'* ?' ~ ~.~~~~
~~~~. *.~~~~~
..~ ... ' ' '* -~'. Prepared By : * * * ~IJ)~'1~? ~ _j Review~~f.By: *.:_'-":~~'. s/;")f.7: _,..~*.. ~.* . *~. -~,*
1*

.: ~
-.~ .. *. - ~.
Calculation EA~J:LEC-AMP-041 4
: Page 2 of 23

~urpose
.. *
~~~~The purpose of.this section is. to determine the conductor terriperatures of cables in selecied~~~~
- conduit routing *points. The additio~al temperat~re ris*e due to installation in fire stops is,. . included for those conduits that are installed i~ fire stops. Methoc:f olpgy The te~perature 'Of the co_rtdu~tors ip the c~rtd~it are cal~ulat~d bi a Mathcad scr~i~h she~t~ . fuforrii~tiori on. the ~cmduit size arid the type ~f fire st~p-is entered ~anually. The: required. , * :*.* * *. informatio~' is then obtained from look~up t~bles*within the sheet (R~ference~*4.:..6;~.
~~. '.. ~. ~*. Information on the cables inside the conduit, 'such as the c~nductor si~e, number ~f conductor~ in the cable,' numbe~- of cables in the group, cable diam~ter, and load current, is..-..~~
~~~~read from an external data file: The contents ~f thes~ dat~* files are shown in Attachment'J4 of~~~~
* *. *: #iis calcula~ion~ The.conductor resis~ance per unit length.1s obtained from a' _look-up table*.: ~ :*:
~~~~,.. based on the conductor size. - "~~ Wit,hin_ the* Mathcad sheet, the. cables in the conduit' are di~idecl irito three.gro~ps. The ~ables _.~.:.~~~~
~~~~. : _ * -that. are ~riloaded are -considered,;cold", and are *ass~medto sur~~tind the other* cables. The~~~~
.. *.* group*of cables that:* gen~r~tes the maxi~um _am~unt of he~t perunit ~6l~me are-~he "hot",.. :*.. . -cables and at~ located in. the center of aJ.i of the cables. Cables that are neither "h~t" or "cold" . are con~id~red "~a~m" c~bl~s: The "warm" cables are located betwee~ th~ "cold" arid "hot"
.-::_:cables.. *
- ~ Y. _The ~~nduit trade ~ize.i_~:entered; into the: Mathcad sh~et.1:he inside -~d ~~tside c}i~~eters of -*
.. - _the conduit can then b~ determinedby: a lookup table in the sheet.. Th_e condU:ctot size, : -_**
. -*~-. .. mimb~r of cables. in the group, number of conductors in -ea~h 'c;abl~,.cable dia~ete~, c~bl~,-.area~. .. -~. ' -" {'::. and lo.id c\\lrrent,for,the,CC1ble is read from a data file: The c~nd"1ctcfr:resistance of the *va:rfo.us ~ " " -_. conductors a:r~ determined from the conductor size using another look~up table. The* sheet _ *'

~~_: : ; -. /then calc~la~es the..he-at g~lier~te_d by each cable gro~p: Next;-the:sheet ~ivides th~.heat genetated by *e~ch cab_l~ group by the area ~ccupied by each cable group to give the.heat.~~
. '.:*:~, * *i_nte~sity for_the c~ble-group: Iri order.to facilitat~ later calculations,'*a~ array*; Ho( Flag is set * ~.. up*. E~ch mei::nb~r of Hot_Flag i~ set too if the cable_ group generat~s no heat ("cold";, 1 if the . -- *:.cable generates.l1eat but do.es not have the greatest heat intensity of all the groups i~ the ,..*.: :*:: c~nduit ("viarII_l";, arid 2 if the'C:abl~ group has the highest heat inten~icy in the cbnduit . ("hot";:_- : ~.. Using ffot:...Flag to ~lcissify the cable gm.ups, the sheet calculates the area occupi.ed th~ "cold", "~CJ.rm;,, md "hot~ c~bles'. Si~ce-drcular cables will have space~*betvieen th~m when they.are* ~* i.. ~- ... -. _~,_ .--=-*'**.....
~-
~.*
Calculation EA-ELEC-AMP-041 4 Page 3 of 23 bun~l~d togeth~;, the are~ caicu,latio~s: assume that the cables are sq~are to.allow for thi~.
~~~~. a~d~tional area when there is mor~ than one cable in the group. Based on the area occupied by each layer, the diameter of the layer can then b~ calc;ulated.*.~~~~
The he~t generated by the "w~~m" and "hot" layers is then calculat~d. The h~at intensity of . :.. *the two layers is then:c~lculated usillg the areas of the layers. Al_so, th~ total heat gen~~ated in
~~~~the conduit is determined. All of the heat calcu.lations are* base.cl on cable conductor....~~~~
temperatures *of 90°c, the r~ted operating. temperature of the cable conductors. The surface tei:np~rature of t*h~c~ild~it. can then ~e calculated~ The heat dissipated froih the * .:outer surface by CO~Vf!~tion and r~diation is first.written as a fu~ctiori of the surface.
~~~~te~peiature. These. ~quations.can be solved iteratively to find the ~urface temperature at *,...~~~~
~~~~which the total h~at dissipated in the conduit.equals the heat* generated inside. The..~~~~
~
' *~ tempe~ature drop through th~ conduit. itself can be calculated based on the C<?nduit being a h9Uow cylinder. ~-~.. ""*. ~. . *The t~mperature:~r6p th~ough th~ "~arin;, ~able layer has twO. com~o~ents~* Th~,tei:nperatu~~ * *. ,~ drop ca{ised by the flow'of heat from the "hot~ cables inside is calculated.by*fr~atlng the : ~ ~ . * *~warm" cables as_ a ~ollow cylin4,~r. An aqditional teinperature drop is caus~d by the h~at * : * -~ . generated within the "~arm" layer... This temperature drop is.calculated by a: formula silnilar *.
~~~~.to that gi~en in Section 2-8. of Holman, e~cept the ~quation is fitted ~o* *a. different initial:~~~~
~~~~condition t~ accountfor the hollow ccire-ofthi_s layer.' '...* l ~-~... ;~~~~
~~~~. -,r~~~~
. ' ~<:.1 0 The_tempe.raiU~~*drop.thrb.ugh th~ "hot" lay~r is cal~ulated using.Holman'~ Equatiob.. 2~2.6.* *.* .:~* ~... * *The c~nducto~~i~~per~ttire exdusive of the additi~~al heating_associ.~ted with fire.*stops is * . then~ the s~rf~ce i'emperatUre of the conduit pllis the sum of th~ ~eoiper~ture drops d~scribed. ~ -:;,:- ... ~.*...... ~? '*~~.-:.;.. ~** above*~ F roiri. this the temperature rise of the. conductor above the aliibie~t temperature is . ; **.. ** ; * * **.. **c~culate& The additional t~mper~rure rise due to fire: stbps is included by the. iise.te~peratur~ *. ,,* ~): multipliers thai_wer~ obtruJ;Ied bytesting in Reference 4. for those -~~ndtllts tli~t pa5s through:.
~....

Kaowool fir~ stops. The c~rrespo.tiding factors for concrete grout fire stops,. which ~e mad~' -
~~~~fr9m inal:'erials with high~r the~~al.co~ductivity and produ_ce less temperature rise are taken. form Reference 12.::. * ~-- *. ~.. . ; <\\ ..~. : :.*. > ~*** 1*,~~~~
.f
~~~~. :Results and Conclusions - '. ' -Tbe. results of the ca~es examined a*re as follows; Routing Point*. Conduit~~~~
~~~~Fire St.op Type Nominal Size X1514 3" Rigid Steel~~~~
24'_' wall*
~~~~X1516 3" Rigid Steel 24" wall Calculation EA-ELEC-AMP-041 4 Pa-ge 4 of 23~~~~
~~~~Condvctor Temperature (°C~~~~~
~~~~84.13 73.0 ..~~~~
~~~~B.ased-on the results shown above, the co~ductor temperatures.are below the conductor fated*:~~~~
~~~~. temperature of 90°C. Therefore, the performa11ce ~f the tables at these* routing p~in~s is~~~~
~-.satisfactory:.***

Referenc.es*; *

.. *~ **:

-. '... _* *1.
~~~~.. Holman, J.~~~~
P. *1981. Heat Transi _er. T~kyo;. McGraY.r-tti1l Kogakush~, Ltd.' _

2.. *, -. Neher~ j. H. and McGrath,:M. H.. l957. The Calculation of th~ Temperatilt~ ~. *.
Rise. and Load Capability ~f Cabl~ Systems;-AJEE Tra.nsa~ti~m on Po-iver.**.
~~~~.,. '-. -. * *.*,Apparatus and Systems'.?~ (O~t~ber;:752-l72: *... - * .~-: *., *; -: --3. Insulated Po~er C~ble Engineers. Associ~ti6n 'and Insulated C~~duct~rs :,._-. - - _--c,~~~~
** :* *~ 't
-. - -.' --Co~ttee of the Power Division, AIEE 1962.,AIEE Publication S~ 135-t I __ *"IPCEA :i?ubliC:a~io~ P-4~26, Power Cable A mpa~it~s,. V~l~m~ l_~Copp*er - ** *.. * : * *
~~~~_ C~n4ucto;s. Ne~-Y o~k: American Institute of EiectricaI Engineers.. *...~~~~
~~~~~.~-!,,.-. *:* - l*.* : ('.. .. :: '. *: ~~~~~
~~~~_4.'~~~~
~,_-*Atta~h~~~i _8.of P~isades Engin~ering Analy~i~ (EA~_ EA~ELE~~~MP-041,.*
~~~~- * :* -/*.-~~~~
*. :. :/i' "Ampa:cicy Evaluation for Continuou~ly Energixed Power Cables Routed *-
~~~~.... /*,~---' _:*throug4 Fite Stops", Rev. 0 by;R. He.rnaridez~ dated March.24, 19?7. _ * *:.,- -;~_-**.. *. ,.~~~~~
~
~~~~_):;;~ ~-~- t ,:, ). - ~~~~~
6.
~~~~~-- t.J.s.: A. Natl.onal Standards Instinite.' 1966.. St;mdard cso.1* "USA Stmdard Speci~cationfor Rigid Steel Conduit, Zi~C:-Coated~. New' York:' u. -s. *A.~.* '.. '~~~~
~~~~National Stand~rds Institute.~~~~
~~~~~... -~......~~~~
.** *.. c_-

~-~-
~~~~'..' "} ~ --,..: <*.... ~:: --~* <,,L~...~~~~
~~~~~.:.__~~~~
~~~~-.~ . <~-;~ ......... ::r. -~ ... ~ .'. ~ ". ,*/'.* -~- ~* . :* *~~~~~~~~
~~~~.-... \\.. -~~~~
~,..
.. ~.
8.
. Calculation EA-ELEC-AMP-041 .. Attachment 34 *
Pag'.e 5 *of ~3.

. Americari* National Standards Institute (ANS~.
~~~~Stolp~, J: "Ampacities for Cables in RandomlyFflled T~ays".JEEE Transactions~~~~
. on Power App.aratus and Systems. PAS-90 (May I June 1971~; 962-974.. *
~~~~~ ~ Hudson, R. G. i9(>i: The En&ineer'sManual.: New York:. John Wiley. & Sons,~~~~
~~~~page 317~~~~
'. S~rg~nt & Lundy Standard ES.A~ 102, "Electrical E~gineering Standard for*. Electrical and-Phys*i~al Ch~racteristics of Class B Electrical* Cables.;,, Reyised April 14, 1993. 10... *
~~~~Insulated Co~ducto.i-E~gineers ~s~ociation (!CEA~ 198.6. NE_MA WCS 1 I.~~~~
~~~~. ______ _... ".----:;t~~~~
~~~~ICEA P54440, "Ainpacities of-Cables in Open Top Cable Trays." Washingto~,~~~~
D. C.: National Ele~trical Manufacturers Association.: *
1
~~~~-* 11:.-.. *Attachment 34 of.this calculation. (Cable data;_*;.~~~~
~~~~~.* r~~~~
~~~~-_.J._ '~~~~
, 12. *
~~~~Attachment 2(App~nd~x A of ~alisade~ Engineeri~g Analysis (EA~ EA-ELE(;::~...~~~~
~~~~. * ;AMP~041;* "Cabl~* Ampacity Evaluation fo_r J:iin~stop Pen_etrations", Rev. 0 *by. R. Hernand~i, dat~d March 24,.1997. ... ; ~ .. r ' }.~~~~
~
~~~~~. ' . *... ~ ' ~;. -~. r *; ~'.. : . *~ :.~~~~
~~~~~' l - *.~~~~
~~~~-.>"I" ":~~~~
~~~~.,.*£:~~~~
. -~:~. . ~. ~.. -~--: . ~~- ~* '-) '. *~ ..... ~* :.. ~-.. j ....... ~-.. :.~:. '. . ~... **- - :. .. ~.' _.. .. ~~ '*... -. )', **..... . *~ I .., -~ '+... ~. '. ~ .. ~,*.:*. .. -?>.. * ---~ -
~~~~. ~.~~~~
~~~~~ -.. . 'I*. .. : t ~ ~- -: "... :. ..... :.... ~~~~~
~*
,r
~~~~~~-~~~~
I
~~~~-~. i.~~~~
~*
f, EA-ELEC-AMP-041.* 4

P_age 6 of __
Conduit at Routing Point X1_514 Passing through a 24* Wall Fire Stop FZ-0588 Coriduit Data *.. _ Nomina.1 size-RJgid steel Nominal size + 0.0002* - EMT '. Conduit:_ Trade..... Size :_= lO*.m Enter Cable Data. Cable data : = READPRN( data. file) -'. Fire Stop Code Fire_Stop_Code :=.2 * . Fire Stop Codes
~~~~0-Free ~ir 1-12*wall 2-24" wali '_.~~~~
~~~~3-.12"flo()r~~~~

~~~~4-24" floor~~~~
~~~~. ~: -* -:~~~~
~~~~~. oita~size :=rows(Cable~data) oata.:._size =7~~~~
~~~~-.'. Data_inciex := O, l;_.{D~.)iz~ ~ 1)~~~~
~~~~N~mber of cable group$ in-the data.~~~~
~~~~- ;Pj~k~t :;SOO*K:.an*\\Vatf*i__*Jacket - * -. Pco~ :~2.os-Kc~*;ati*~. Conduit thermal conducrivity * * {Hudson; page 317)' .*.)_ I,~*. < ~*~ ~-~~~~
i
~~~~. : ~ ::.. ~-*.. -1~~~~
~-
. -~ ~bientTemperature. .. :. -! ~c~;=_ <<t..!'~- -~c-_:. (*:... -.. :._~.*->-- '. -.~: ~. . ~.. *.. i;*.:--- ~~.; -~- .. Miscenaneous co~*nts~ *. * . ~... . ~. .. -.~.. *... _ _..,'_. *stefan-Boltzn'lann Constant-.*
~*
~~~~i.*. :~~~~
~
~~~~_.' --..-.*.~~~~
a '.=5:669* 10-8*watt*m-2*K"4. ~ *
..-. Holman, page 30T.> *
_*... :::"*
~~~~l ......--._ ' *~*~* -f ~-~ *.' *: ;* * ' 'A: <.; e~~~~~
~~~~=o,.33.._~: conduifemiSsivity'cNEMA wcs1, page*17)~~~~
~ .. c:. .-. <;:onve.rsion factor ~tween degrees Celsius and Kelvin * * .* *
CtoK : = 273. lS* i<.*

:'. *: ** T ~
~~~~~ T *ambCf C~K*.~~~~
~~~~T amb = 313.l S ~K "':'i _r. ~...... ~ .1 ** -~-. -~ . " *:~~-~~~~
~~~~-~:-.~~~~
~~~~>I._~~~~
~- !~ . *z;.:.: ~ ; ~i
.. ~* *.
~~~~\\..~~~~
. -~-~ Conduit Data Inner arid Quter Diameters**
0:375. 0.493 0.675 0.3752. 0.493 0.577

o.s..
~~~~0.622 o:840 0:5002 0.622 *o.706~~~~
EA-ELEC-AMP-041.* 4

Page:? of.*_*. __
~~~~References:~~~~
ANSI C~0.1-1966 & CS0.3-1983 _~: ~* --o.75*
~~~~o.824.1.050~~~~
~~~~. * ** Note: The inside diameters for rigid l?teel conduits built .. **. to.ANSI C80,f-198,3 and later are son:iew~at different.~~~~
~~~~~.*.~~~~
~~~~0.7502.0.824 0.922 .,., *l.00 ' 1.049 1.315~~~~
The 1966 v.ersion of the standard was selected.. based*
~~~~on"the commerical operating *d~te of Palisades ~talion.*.. ~- 1.0002: _t.049 t'.163 ~-. '~~~~
_ 1.2.5*
~~~~1.380.t.66o ';,1'* 1.2502 1.380 l.510 . ~.. ,: **f.<. ** I.SO *f.610~~~~
~~~~1.900~~~~
~~~~.LS~l-1.610. 1.740. ~,* . Conduit.:.~izCs : =. * *.~~~~
in.*
~~~~_ 2.00.'. : 2*~()67~~~~
~~~~i;*375~~~~
~~~~~.o002. 2.067 2.191 .~ . '...;:.. ~.. 2.50 2.469. 2.875 .... *.:r*.::**.*:., 2.s.002 2.73f 2.875. -:, 3.0002 3.356 3.500 ... ~-.. '/ - . J.50~~~~
~~~~3..548 4.000~~~~
~~~~~:._.Jo. .. ~... '.... .\\: ~. ' \\-.... 3.5002 3.834 4~oo0 I. 4.00 -*. 4.026 4:SOO~~~~

~~~~4.o002.. 4.334* 4.soo~~~~
-~--* . **5.oo:,::s.041: 5.563 6:~ 6,065 6.62s * *
~~~~*_ * ' * * ~-~,..,:,,. :* * <. * " *~~~~
~~~~~ **~~~~~~
..,:.. *.::S:~~:~2::~.. ::t~:::.. ::2r+/-:~)~,.:d.:i:r.;!~*
~;
~~~~1.00. Frett air: * * .,. f.00 12* wali ' " .. ~ ... *.. FS~ Temp _F~ctor : =~~~~
1.064 24* wa11 (Calculation EA-ELEC-AMP-041, Attachm'ent 28, Appendix A
: * '~. "
~~~~.... 1 oo * * * *: for concrete grout fire stoPs).~~~~
_

* ~

12* floo. r

1.*
~~~~L22 24*.ftoor ~.... ~:...... 'r~~~~
..r-.-*
~~~~--.~~~~~
'r ~ ~* . _,.,~,_.,. ., *;.~
. EA-ELEC-AMP,-041 *.
Attachment 34 Page 8 of -----

Lookup T~ble for Conductor Resistances at 99°C (See Sargent'& Lundy Standard ES~-102). *
~
1.*

2.
~~~~'4 6 .8 9 10 12 14 16* 110 Tabl~:._sizC :~ 210. 250.' 300~~~~
~~~~310 350.'~~~~
~~~~.'400. 410 500. 600 750 1922 1925 -~. .. *~*.. ~ ' .... ~- T!lble_resist := 0.0161 '0.0203. . 0.0324 0.0513 0.0818 O.i03 0.130 0.206' '* 0:328~~~~
~~~~Q.'523 0.0128.~~~~
~~~~o:ofo1.10*7.n.tr l ' o.oo54i 0.004$3 0.00804 0.Q0389* 0:00341 0.00639. ' 0.00275 0.00231 0.00187 ' 0;108 0.217' ,-r. Ho~::~~ax(Q ~tY)~~~~
~~~~f :*.~~~~
~~~~~*... ~* ~ *:,': '. '.... -~ ': .. ~*:i '***1 .... ;, :~ . ' * *,r', -."~~~~
~~~~3 ~~~~~
. '~.. ~. ... ~. ~ .. :~ '*.'<3 '. *-~ ~-: .** t ... --~
~.. *~-: '. ~ ;*. ~.
~*
~~~~--_ EA-ELEC-AMP-041-Atta:chment 34~~~~
~~~~Page 9 ()f __~~~~
~~~~T~~ : = rev~(cs0rt'(-augment(Index~ may, Q denSity ), I}\\ i- ~ .watt-tr 1~~~~
~~~~in~~~~~
2
-,Hot_inde~ :_= Temp0 0 Ho.t~index = 4
I * -2
_Q densityHot_indc:x -.Hottest= 0 '.watt* ft,. *ID. , *.Hot Flag now has values of: * . 0 for unloaded cables _Hot]la~_indcX : = 2 - 1 for "warm" cables _ Diametera of Layers 2 for the hottest cable in the conduit
Diameter of Hottest Cable

Numbet_cabI~ot-~ =:=J_
~~~~. Ah0{:~Nwn~_c~bi~_~'(Cable_di'i!0,_~c:x)2*- A hot.::o.si9*~ 2~~~~
* *:

_.. -*_. - (cabl~.dillff*.ind. )2

. *'.. *: _ -~hotf:=~:Number~cabl~-~* *
~~~~-: 2 ot~.. c:x- -dJiottest := Cable_di~:.index * - _ -.,diiotlesi = o.42 *iii _ dhot *.{~i.e:-cab1~_2>i,2Jhol,d~)~~~~
~~~~dhot =0.821-in-~.* -~~~~
~~~~.. 11\\ 1t - Area and diameter ~f "w&nn* cable laye~ -- . (Data_size 47 1) ~. - A* " *- ":: E *. -~HotFiag:a1.(Cable di~) 2*Nwnber-~ables:,o.in2] A: - =l.682~in2~~~~
~ *.
;'.i
~~~~. '_ ~-arm-*_ -. : *._:;, :* j = 0.: :.. - . ~ J. -- J. - J - warm (Data_size-1 )1* :. --.. " -(Cable dia )2 ",. -: ;* .. ~ "-.. ]~~~~
~~~~.. ' A:Warmf':=*:~~~~
~~~~_* : L :.~... Hot Flag.=1, _-_ j~~~~
~~~~it*N~bc:r cabies.,O*in2 *:~~~~
~~~~'c." '~~~~
j ::i 0

~

~ :'
~~~~2 ,. *,. -~" ;.. J., *.. ~~~~~
~~~~A - (d~~~~
) 2 cold warm*
~~~~dcold :=2* --+ ~~~~~
~~~~. dcold =2.078*in 1t~~~~
~ -* ~... 1* *. ... ~'........ ~... :... '~*; :::.... -* '. .. *.. -:*.. ~ ~~-~~:.;.: ~;*~":... ~ .-*i ~... --:..a. -~ ~** . ~.. ~. '
.. \\ ..*. *.. (dcondi.) 2. Acond*;=x* -*-*-_
A
"*~ =*7.393*~2 .. *. *.. 2. conu * (Data_size_- 1_) (Cable_dia.)2 A cable:= . L. *
Number_cables{x*
2 J j = 0. -EA-ELEC-AMP-04 i-*** 4 Page 10 of __ . : 2 A ca,ble = 2*6.64 *~ (Data_ size.:.: 1 )'.J.. .. :... (Cable dia.) 2. : 1*........ A~~er:~:*_ L.- ,Il~ad.~0-~p,Numb~~c~b~esj'x* * - 2-* J ,O-in 2 *Ap0wer=L736*in_~
~~~~j=O~~~~
~~~~,.. J . :.. "~ Ah ~+A *1df'.+A ~--.*. Ah tf A kif A ~ Fill u *- 0~~~~
90

*

w Fill_power u *-
~~~~° Fill cold u *- co Fill_warm_u ::_--,-w_,__~~~~
.. A~n.d *
~~~~,-Acond * - - *:~.A~ Aoond~~~~
-H~atgene.rated ~Y hot cables*.***
~~~~F. ~ Q hot :=.Q c~le~_m-: *: *. Q hot =:l:2y~watt'.tr 1 .,.... --~: .*f'. --~-'- *-- --4~~~~
~
~~~~Heat generated by "Warm"* cables * ~. J ** <I?ata_~~-* 1_.) ... -.v --:.~~~~
~~~~.**:_~-l:*:<.. ** *.*.. ~Hot~~agrl.;Q cabl~j'.O*wa~-trl). Q :~~~~~~
~~~~5_j21~wan-~:1.:: '.. ':- j =o... ;, .~:**if*...~~~~
-~:-.. ~.

"-- ;.. *.>. >' -*~.. <'.(i.
*:: :.... * ** ". *;.*'*q~ >/*:=*.warm-.-*
~~-~~ qdot =3.168*watt*tr 1-in"2 warm A*.*.* warm... _:~:-*-.. warm... **** * .~*' . *.. 1.*. .. ; Q total : = Q warm+ Q hot :. Q total = 8.596 *watt* tr. ~.*. r ~ '.**. -~ :* " ../.. -**('~~
,*.. *1.1;.

*:1....
~~~~~..~~~~
~~~~_i, _..,~~~~
~~~~...,. --~... . :.~ -~..... : . -.. *.". -~..~~~~
..

".~
~~~~. ~... . : *~; ..... *-~- ,* '*.. *.. =*:.- .\\*.. ~ :. "~~~~
~~~~~; *' ;.<;~~~~
~~~~, -: EA-ELEC-AMP~o41 4- * * . Page 11 of __~~~~

Calculate the Surface T~mperature of the Wrapped Assembly.

Note: In order to solve.the energy balance equations, the. equations for the heat dissipated by the wrapped a5sembly will be written as functions of the.*
~~~~surface. *. . temperature. The.area of the.wrapped conduit per unit length is equal to x time~ the diameter of the wrapped a5Sem bly.~~~~
~~~~Heat Dissipated by Radiation (Holman~ Equation 8~3a)~~~~
~~~~Heat Dissipated by Convl;!ciion~~~~
~~~~. \\~~~~
~~~~.-~ *. . * (Holman, Tabie 7-2 and Equation 1-a). " - *~"- ~ ~ -.~..~~~~
* *Initial guess for iterative SolUuon -~f the surface temperature of the wrapped conduit*.*

.. T.
~~. :=330."K. guess ,i'*. . :..- Q roatl=Q r(T~) +9 c(T~~)*. Heat dissipated by radiation and conveciion . must ~ual heat ge~erated by cables'.. . -*~.. ~- . *... ** */.. -~: l* ~. *.. * <'.~~
~~~~.\\~~~~
~-. . ~.... ~*
.. *... **. >:~1lF:¥(~~)L.. ***** *
. *>'., *: :T coiufo =327.283 *K.* ~,~**"T 00cik,~ C~K = 54.133 :K°C. S!.lrface.temperatur~ of the.... ...... <.. ~. *t:;}~_(r~~:~:}\\~ss%~~a-**.* *.*.*. :"d~~*.**** '.<...~ * '*. ~. ~:-.. -~ . ~. *~* .. ~
~~~~. ~--~~~~
~~~~~ ...:::, ~ '. ,*. *-~- ~*. ', ~. ~ :.. --~ *:.,<. ' t; .* *!.r* .. ---=.***":-. ,I-I.'-'.. ~- 1:i:~~~~
** * ** j~.c
~~~~. *; ~~~~~
~

"'tf
~ *.*. ~ i . *4
EA-ELEC>AMP-041
~~~~Attachment 34 Page 12of _* __~~~~
~~~~-*~ Temperature Drop through ttie Conduit M 1 (dcondo)... : dT cond :=-'Pcorufln -- *Qtotal. ..** 2:x . dcondi.~~~~
=.
~~~~See ~quation 2.:.8 of Holman..~~~~
.r ~n~ :=Tcomio.+~Tcond * *. *
'L,*
. T ooruli.=327,295 *K. Temperature of the Inside wall of the conduit T condi-:.. CtoK = 54.145 *K 0~, ~. '. . *Temperature Drop through the Air Gap. lnSide the Conduit * * *
Constants for NetJer-McGrath F.ormula for T~mperature Drop in the Conduit Air.Gap A;{: 3.2*Kft-~att-1*in *. (Neher~cGrath; Table VII)*.

-~
~~~~: : ~~~~~
~~~~,B' :=O.J9-in*.*,~~~~
A'
~~~~. d T con.dg&p : = *,~~~~
~~~~9 total ~See Equatiof! 41 A of Neher-McG,ath.;~~~~
... B + dcold. :*: i~ *,**~*..._. ' --~ '-1; ~. . ~.. ~.. \\.. * .. *... r -*~~: ~.:<. -~~ cOOdgap ~.1;: 129 :~. *::~...-:. ::~~. <.:: ' *.. ' .., ;.' t:.._ =T'~ ~ ~T ;gap* ~*m~f!dllta allh!>, o~da su~c8 of~~~cable maim' * .*..*. *.. * *.* <},*,,:: .. T Inass :i..33?,.424 *K ' ~* . *:: ',- '~-~-7 ,~
..,. y*.... * ::T~-:-- CtoK_,;;~<i27~i.*K (°C)*: *

TemperatUre:dro.P through the *eo1d* cables

.. f~~:=Q~/;;'-m(:;:,) >
~~~~Ar-~J842*K ~ ;'~~~~
~-
~~~~~*-- .. T cold :*=T ~+ &r.~id ~-. *.T-~id,;_~43.266 ~K~~~~
T ~Id~* CfuK=7~.i.I6.~KC :**.*
~~~~', r~~~~
~~~~"II~~~~
,, : ~.
. ~.. ~. Temperature drop through the "Wann" cabl~s ' 1.
~~~~.kmas8:=--~~~~
~~~~. Pmass EA-ELEC~AMP-041~~~~

~~~~Attachment 34~~~~
~~~~_Page)3 of __ u*warm*- hof--*w-.-- +.. . ~r'-_~~~~
.*.-:_Q*

P~_i..:.*(dwann) q~warm[(~)'~ (~)']_**q~warm(dho*)'1n(dwarm) 2,11: *.
~~~~dhot~~~~
~~~~4*kmass.~~~~
" *
2*kmass 2

dhot

t -*
~~~~/ (Based on Holman*. section 2-8 ~olved.for a differen*t set of*. &T *.~~~~
~~~~,7.942*K~~~~
~~~~.warm *. -..~~~~
initial conditions) *.*
~~~~T.w~ :=*r col~ -t:~~ w&ml T~~~~
.. - CtoK = 78.058 *K °C wann. *.* *,.... . /. , *
Te~perature Rise thr6ugh the.hot cables-:* *
~~~~.*. **.*: *........ *._ (*d~ot)i ._ Q densi~ *... ' -* -~~~~
Ar**... ~ *

HatJm*

2 -
~~~~. Holman, Equation 2-26..~~~~
~~~~u hot:-~~~~
~~~~. 4*_kJJlMS~~~~
&Tfiot=3~415*K.. **
. *~.... ~*
-I *
.... ~ . '. :~.... ... 1'.~. <:i. '*-*l-* ... \\'._.*
~~~~~ -.~~~~
~~~~.. ~ . -~-. -. ~... .**:. \\ ... *~~~~~
~~~~~--?-.~~~~
~~~~.:*_. 1-_;::.* ... : : 'l .. ~:*..... .... :-*~~~~~
.. * ~-.. -*
~~~~. ~ ' :.~~~~
~~~~... ~~~~~
~~~~.'t.: ":.... *_.4 -* ~~~~~
J
~~~~/'. .~~~~
~~~~Conduit_Trade_Size =J *in EA-ELEC-AMP-041 4.~~~~
~~~~Page 14 of..:..,------- T conducto; ~ C~oK = 84.127*temperature °C. 0 12~~~~
~~~~1 *. 3. 0.52 o.oos.lJ 14 1.. 2 0.37 0.003 0~~~~
~~~~2. 14 2~~~~
2. 0.42 0.003. O*
~~~~.Column ~ Row number Col.umn 1.:,,.:. Cable size augment(Index.... array; Cabie_ckta) =. 3_ 14 3 3~~~~
~~~~0.48 0.003 0 Column 2-:- Number of cables Column ~~~~~
~~~~Number of conductors : 4 4~~~~
~~~~3 l 0.42. 0.033 58.~~~~
~~~~5. S l~~~~
~~~~3.0.84 0.013 28 6.* 8~~~~
1.
~~~~3.~0.84 0.013 31 Column 4-Cable diameter~~~~
~~~~Column 5-Not used Column 6-Load.current *.~~~~
~~~~,... r~~~~
~~~~Qcabl.. * =3.27*watt-tr..~~~~
~~~~eHot inds. * ~.: ,.*.*... ' *.... i~~~~
>';~*: -*
. ;. ;.. ~. ";*:**. '***.. -~." ~ ~. Fill_u*=o.36 .*. Fillj>ower_u :=z9.0S6 ,,., Fill_w8rm_u =oj79. Fill cold u =0.125 *
r)

.-. \\

"-... ~
~~~~~ .r., .. ' ~ ~ *-.,.. . :*.-"Si ~... ... ~*'~~~~
i'
~~~~... -. ~.. - .*. *, "*ffi . ~-- ... -~~ .. ~* . --~**_-~J-~J. . -~ '.. ~ '*. *-""~~~~
~
.* !L . '":.~ .,( c
-~. EA~ELEC-AMP-o4 \\. Attachment. 34 . Page 15 of*;..._* __
~~~~-'. *:~.~~~~
~~~~. Conduit at Routing Poin.t X 1516 Passing through Fire Stop FZ-0588 Conduit Data~~~~
Nomi.nal siz~ Rigid. steel*

Nominal size+ 0.0002*-EMT*
~~~~Conduit_Trade_Size :.= 3.0*iii. * - Enter cable Data Cable_data :=READPRN(data_file)~~~~
. F.ire Stop Code Fire_Stop_Code := 2

Fire Stop Codes 0-Free air
~~~~. 1-.12" wall. 2-24*wall .~ 12~ floor ~24.floor~~~~
~~~~. Data size :.= ro~s( Cabte_:data)~~~~
Data_s1ze..;6.. Numb~r of cable groups. in the data. . Data-index*:*=O,l... (Oata size.~ t}.:<. Index_ array~ _izlclG : ~oat&_ index. *
* **

Thermaf Resistivities-
~~~~. :. l?insul :*= 0 S<?<?-K~:~atf 1 Insulation* 'Pmass<=400*k*~*w1~tf 1 Cable Mass (Stolpe)* l~~~~
p jacket:= SOO*Kcm:watC. Jacket. *
~~~~- Amb1eritre111p~r8tu~e::: * *.. ,*.~ r-~c:-=4<>-lc ___ "c-~ ;_:.: :.. ~ : * . -.. r...~~~~
~~~~p cond : = 2.08* K cm* watt~ -- Con~uit thermal conducrivity.~~~~
.
~~~~_ * *._* (Hudson, page 3F)~~~~
~. . ~** *. ,,. t *. ~*.. :..,.. ~. -stetan-Bo~anri constant -: ..... _ * ~:~s.669:io~ 1-~ati-m-2;IC**
~~~~'.Holman, *page 307._.,~~~~
~~~~~- s-~ :=o:3J *... :conduiterriissivity (NEMA wcs1, page 17)*.. -_~~~~
Conversion faCtor between degrees Celsius arid K~lvin *

CtoK ::213.lS*K.
~~~~. *~ '.. : T ~~~~~
~~~~=T ambc+-CtoK:.. T amb-~313.lS*K..~~~~
~~~~~.,* : *-*..~~~~
~~~~.*r r~~~~
~~~~.. *.} ' .L. 1 1 ,.... * :..:r: ~ .,,..-'-i ~.. "*~ ~. .. ;*~.;~~~~
~*
-~..
Conduit Data EA-ELEC-AMP-041. 4 __.Page 16 of __ . inner and Outer Diameters 0.375 0.493 0.675 0.3752 0.493 o.577
~~~~References:~~~~
~~~~ANSI CS0.1-1966 & CS0.3-1983 0.5.. 0.622. 0.840 o.5002 o.622 o.706~~~~
~~~~. Note: The inSide di~meters for rigid steel condu~ built.~~~~
~~~~. o. 75 2 to ~SI CS0.1-1983 and later are somewhat different ' 0*8 4* t.o5o~~~~
The 1966 version of the standard was selected"based 0.7502 0.824 0.922 on the commerical operating date of Palisades Station*
~~~~l.QO 1.049 1.315 Looo2 1.049 1.163 1.25 1.380 1.660 1.l502 1.380 1.510 I.SO* t.610 1.900~~~~
C:.

. ~ -
~~~~.*. Condui_*t_sizeS*:= 1.soo2 *_ 1.610 1.140.m:. .. 2.00. **2.067 2.375 '~.... 2.0002 2~067. 2.197~~~~
2.50.. 2.469. 2.s1s

2.5002 2.731 2.875 3.oo

3.068 3:500 3:00<>2 *J.3.56. 3.500

-3.sO". 3.548 4.0oo
~~~~. 3~5002 3.834 4.000~~~~
~~~~4.00:.4.026 4.500..~~~~
~~~~. ; __ :,,-~~~~~~
~~~~4.0002 4.334-4.Soo.~~~~
";~~::.:,:.... 5.00, 5.047 5.563 ...... :~~;~~--..., 6~00 -. 6.065 : 6.625 ~ '. ~. .. ~::.-.- s;..* ~ _-:.}:-:. r_*
~~~~~ : ':,. *.~~~~
. d~~-:=--~(coruhii~_s~q>::~t~s~<.1>,G<}ruhut_T~~~sk)<.~~:.d~ ~-3:06s*in:: :.. dccmdo;=_~(~~t~s~~>,conduit_~izes.Condui~~rr&de_siU)~;~_:.~: ~-~*=is_-m _, LOO Free air i.16 12* wall . FS_T~_Factor :~ 1.32 24* wall ~*.. r 1.33 12* floor 1.52.. 24* floor:* . ;... -~* :: (Calculation EA-ELEC-AMP-041, Attachment 8)
*/
~~~~'f"- 1; *-"~~~~~
~~~~: -. ~.~~~~
= * ".:~*. ~ '.... . ::.~~ 0 ..* ;i <~~ ~- ~.... ~.
I .. *r r.. . EA-:ELEC-.AMP~041 4 Page 17 *of.-*-- Lookup Tabl~ for Conductor Resistances 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 . 500* 600 750 1922 1925. .r I 0.0161 0.0203 0.0324' ' 0.0513' 0.0818 0.103 0.130 '. 0.206' '0.328 0.523 0.0128' .-t':*
~~~~: T&:hle_res~ := 0.0101 2JHr 1*.~~~~
~~~~0.00542' 0.00453' 0.00804 0.00389 ' 0.00341 0.0()(?39 ), 0.00275 ' 0.002:31 .0.00187 '. 0.108 '. *0.217 . ' ~... -~. ~... . -* H~tt~t':=max(Q ~ty)~~~~
~*
~~~~~, ~-::-. .-~~~~~
~~~~.~-.**. ::..~~~~
~~~~~:..-~-/-~.~: . *.:.~ '. "-""-~:~~~~
~~~~i:.~.:<-~-~~~~
~~~~-~.>... -.,-;-~--~~~~
~~~~.*.. g~~~~
~~~~~: l: . *. r I ~ ~~~~~
~~~~..,_.., ": r.'.. ~~i~~~~
~~~~Temp : = reverse csort. augment Index_ array, ty... 1 .. :(*.. .( . ( Q densi ). )).... ....... ~.** . watt* fr 1*uf2. Hot_ index.= 4 EA~ELEC-AMP-041 4*.~~~~
~~~~Page) 8 of _______~~~~
~~~~Q... *. . H. 0 .. *ft-1. -2~~~~
~~~~d * 'tu~~~~
~~~~-:. ottest = *watt*. *m ens1.,,Hot ind Hot_Fla~_indcx :=2~~~~
~~~~Dia~eters of Layers '~~~~
~~~~c:x. Hot Flag now has values of:. 0 for unloaded cables_ 1 for "warm* cables 2 for the hottest cable in the conduit~~~~
~~~~Diamet~r of Hottest Cable..~~~~
~~~~. Number~~bl~_indcx.=.3.~~~~
~~~~Aho~ :=.Number_c~bl~-~* (C~l~~di8ttot~indc:x) 2~~~~
* ~h~t~~.529~in 2
~~~~Aho~ =**N~-~~-'"~(~ab~-~-m.a)'~~~~
~~~~.dhoUest :=Cable_di8&t_indc:x *:~~~~
d hotiest = 0.42 *in: :.. *.*
d!Kg *d Nmnbec_~l~_,._>1,2t ;"',d-.,). d hot =O 821'in ~. *.. *
Area and diameter_ of "wa~* cable layer

._. (Data~~~J)'.. _-:.-*
~~~~j***.**.~~~~
AWarin :::.* *. _*

L *.. ~
~~~~Ho(Fia~j~:1*~ (~.able_di.~) 2*N~~-cabl~:O*in 2 J. :. Aw~*=o::so3 ~in 2 ........~~~~
~~~~j =o~~~~
~~~~..(*. .* ;...... (Data.:..°me._.1 r1* *.* "::-.... (c~I : di )2... :.. *.*... --. ***.. * :.*..~~~~
i *
.: :. Awanrir:=_. >. L c*.. -.
~~~~Hot. Fl~~.~l.~~~~
~~~~e_ 8j. :x*Num~ cables.,O*in2 .. *. --:**.. *.. :::*.-J.,;.o: *,.*.-:::*J 2...~~~~
~~~~_... * ::~.*.*.J.. *... -~~~~
~~~~-~..~~~~
.,. ** *... - A.

(d. )2.' *,

warm hot *
~~~~. dwarin:=2*. + -.. - K 2.. ... ~ ". ~ d~~~2* A~+(d;-)':. dcoJd~t65hn .. ~.... :. . *. -*. ~. i.. .. -~ ('. -.* ~;. . ~*. .. ~ **~.~~~~
~~~~----.-... -_,_~~~~~
)
~~~~::*... ;:~~~~~
~~~~. '~- ~~~~~
;.\\*
' ~ --'".-~ ~
Apo~er __ := . EA-ELEC~AMP-041 4 Page. 19 of* --- (Data_si?.e-1) 1* . :.... (Cable dia.)2. l.....
~~~~: '-1... I toad.>O* amp Nwllber cables. :1t.~~~~
~~~~J O* in2 A. * *..,;, 0.8 ll*ini" ~~~~~
~~~~LA J~~~~
~~~~power** -j =.O . J. 2 ~. - A h~tf+- A coldf + A warmf >... A twtf- ~ A coldf, *... -. '. "... A.;,armf . Fill_u :=~~~~
~~~~Fill_power~u :=--*. Fill_cold_u :=-- Fill_wann_u :=-. --~~~~
~~~~A cOnd~ A cOnd A Cond..~~~~
.

J\\ cOnd...

~-* -
~~~~.. ~ :~~~~
1
~~~~~. ***..~~~~
~~~~.*-=** *,,..~~~~
~~~~.. -~.. J_~~~~
~~~~!-~~~~~
~~~~. *-....... '. ~... ~.. >.:~~~~
*.J-
~~~~-~ ::. -~. . *. \\~~~~
~~~~-r'~~~~
.... -~

.*-::~
~~~~--~ .:-.1 ~,::\\ ~,.~~~~
~~~~.... :i~~~~
~~~~~/~i~~ \\..~~~~
~~~~~:.:-t*f_...~~~~
'1***
~~~~'.I~~~~
.:.. -t- .*.... :Y:. .. _*.~.. ~**.* ,.1
EA~ELEC-AMP-041. Attachment. 34
~~~~Page 20. of _.__. _~~~~
Cal~ulate the Surface Temperature of the.Wrapped Assembly ' Note.: In order to solve the energy ba_l~nce equations. the equations for the _heat. dissipated by.the wrapped assembly will be written as functions of th~ surta~
. temperature. The area of the wrapped-conduit per unit length is.equal to

x times the diameter of the wrapped assembly..

Heat Dissipated by.Radiation * **
(Holman; Equation 8-43a) Heat DiSsipated by Convection Q c<TJ : 1.32 w~ K-{m. 2 m ~.rd-~ r* d~ (T,~ : amb) *. (H~lm~m. Ta~le 7-2 and Equation 1-a) _. _ Initial guess *for iterative solution of the surface temperature of the wrapped ~nduit.
)
~~~~. T guess.:=330-K. Gi"ven*: *. -*..~~~~
I
... ~,. 'Q total=Q r(T ~) + Q c(T guess) *. Heat dissipated by radiation' and convection must equal ~eat generated _by cable~.* ." :*..... -.. ~< ~ .Tcondo~~F~(i'~)_ :_*-.-.*:. ~ ~... ... *~~.. ~. '. :;.:,~~...... *'.
~~~~'... T ~'.~*Jll'.J96 *K *.,: *: *T condo...:*-~ro.~-=== ~8.246 *K 0c.* *Surface tempera~re of the~~~~
~~~~>,* Q.;.:4.s;~;~.fC. . 7"~~*,. .._,. *:... ~. . ~*-Q*c(T~ruk,).+ Q*~T~),~4'.553~watt*ft-1~~~~
. ~*..

'..t,
~~~~~. -. .. -~ j; *_ .. :.i ... ~. .. \\ '*. ~ *. /*'~~~~
-~
. !:/: .. *'.1*
-~* - . -~* :_.- EA-ELEC-AMP-041
Attachment 34

Page 21 of __
~~~~Temperature Drop through the Conduit. *.. ,\\Tcon<! ~Lp~*ln(dco~) Otota1~~~~
~~~~Se~Equation2-8 of Holman.~~~~
~~~~.. ** 2x. dcondi.* 'i. . *~...,_. ~". -...~~~~
~~~~. L\\T cond =0.007 *K T colldi = 321_~~0~.*K *.~~~~
~~~~. Temperature of the.inside 'Nall of the* conduit*:. . T coodi - CtoK = 48.252 *K 0c.. *. TemperatUrebrop through the Air Gap lnSide the Conduit~~~~
.*Constants for Neher-McGrath *Formula for Temperature Drop in ~~ Conduit Air Gap *
~~~~.. A,._:= 3,l~K*ft*wati-1.iJl.. (Neher-McGrath, Table VJQ.* . ~. ~ *. -.. B'.,:=O.l~in.* ~. *. '*\\.. - L\\T ~~~~~~
~~~~= *,.N. *.Q~:'.Se~ Equation 41A.ofN~her~cGrath..... '.~~~~
:

B + d,cold..

c,.
~~~~. :.... : ~_'.. -~ -~.~~~~
..... :'_*.:*_*.... L\\~~~~~~~~9:*.~*
.. ::_~-.. -.7~:;~<........ ~* *. _i::* ... :* ;*~ ~=,~-~~~~ ~.:_:-: _Te~~ratUre at~e outside surface ofthe~~le mesa'.=* . T mass,;. 329.291 *K" T inass - CtoK = 56.141 *K (°C) *. * *. ~ . Temperature drop through the *eo1d* cables P~ *( dc:0ld) L\\T cold :=Qtota1*--*ln -- 2*x dwarm. L\\T cold= 3.503 *K T cold :=T ~-~~L\\T cold*>* '. ;.rcold.=332.794 *K -~cold-CtoK :::i.?9~644-~KC_'<.*~: ._:.*. :*' ~ . ; '(;~c*4~ ~ ., ~.
v
-~. _.; _ _. ----~
Temperature drop through the "warm" cables 1 - km.ass:=-- Pmass EA-ELEC-AMP-041
~~~~4 Page 22 of dT~ann,Q ho? mass m(d*warm) + qdmwann[ (~~~~~
)'-(~)']_ qdotw~(dhot) 2*m(dw~) ,.. 2*x. dhot 4*kmass - 2*kmass 2 dhot i1T. * * =2.471 *K warm (Based *on Holman'* seCtton 2-8 solved fora different set of. initial conditions) T.w~ :=T cold+ AT.warm*
~~~~, T waim-:- CtoK =62.1 ~s *K °C~~~~
~~~~. Temperature R~ through the hot cables.. * (d~)2' '~~~~
. Q densityffrit ~- T AT hot:=.

4.k
~~~~.mass*. Holman, Equation 2-26 *. * ~. AT.hot= 2.ss1**K . T ~able := T ~~ + AT hot.. ' *.. T cable'.. - CtOK = 64.966 ~K °C. .1.: : -~-*..~~~~
~~~~_T ~~;:~T~*~fS_T~-~acmri~~s1op_Coda*(r*c~le.~.T ~).~~~~
~~~~l ,,.. >.- '>T ~.=_346.IOS;*~**:.-"'." T conductor.~ CtoK=y2.95.S*temperature. *_ 0c_ '-"*- ~. . *\\* *. ..r*" ~ " ~*. ~ -*. ~";" -~".. *:~~~~
);
.7 * **. '-.'I ' ~. ..-,~ t *.:.: **:
-~. ,*.. ~*.
~~~~. -.;'G:::,ic;~ ~ :~~~~
~~~~Conduit_TradC_Size. = 3 *iii I,~:.. * . _EA.,ELEC~AMP-041 4 Page 23 of T conductor~ CtoK = 72.955*temperature °C o. 12 2 3 o.si 0.005 o I. 14* *i 2. 0.42~~~~
~~~~0.003 0.~~~~
Column 0-;- Row number Column 1-Cable size 2* 14 2 0.42" 0.003 5 3* 0.48 '*, 0.003' 0 I*
0.42 0.033 : 53 I

0.33 0.0.13. 26 Column 2-Number of cables

Column ~
Number* of* conductors* augment( Index _array, Cable.-ciata) = 1.. : Q total = 4:~53 *watt~ tr.. *. : Q ~i... : * = 2:73*wa~~tr 1 '. ~-indcat,* ~.... '. . *~. ... ~.. : . -~* ).. . *~*. . ; ~-.. 'f'.*.* 3 14 4 4. 3 5 g** 3 .". Fill_u =0.229
Fill~wer_u =0.056

Fill_wani:i_u =0:053 Fill_cold_u ~OJ 19
. ~*.*. ... ~.. .. -~*
,_...,,*: '.r'r-Column ~Cable diameter Column ~Not used.

.Column 6-Loiid current.*
~~~~~-.~~~~
~~~~~-.-~~~~
~~~~.. -.. ~. ~ _.. . "\\ ~.. .... ~.~~~~
~~~~~;~...~~~~
~~~~~-.... .:"i . - ~.. : ~.:-. :.~~~~
~~~~,}}}~~~~

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