ML20211J432

Rev 1 to G13.18.14.0-178, Ampacity Derating Factors for Thermo-Lag 330-1 Encls

ML20211J432
Person / Time
Site:	River Bend
Issue date:	09/26/1997
From:	Bhatia A, Dogan T ENTERGY OPERATIONS, INC.
To:
Shared Package
ML20211J416	List: ML20211J432 ML20211J441 RBG-44230, Forwards Response to 970512 RAI Re Thermo-Lag Related Ampacity Derating Issues.Encl Also Contains Supporting Calculations,Rev 1 to G13.18.14.0-178 & Rev 1 to E-218
References
G13.18.14.0-178, G13.18.14.0-178-R01, G13.18.14.0-178-R1, NUDOCS 9710080122
Download: ML20211J432 (141)

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Gl3.!L14.0Til Rev. I e CALCULATION WORK SIIEET ATTACith1ENTNO. N/A ~~~ ENGINEERING DEPARTMENT JBINO. ENTERGY RIVER BEND STATION PAGE I OF 73 TITLE: SUPERSEDES: Gl3.18.14.0178 Rev. O Ampacity Derating Factors for Thermo Lag 3301 Enclosures ggpp CALCULATION STATUS: X APPROVED

PENDING

. CANCELED SYSTES1NO.: q STARK NO.: y CLASSIFICATION: : SAFETY RELATED NON SAFETY RELATED: @ QAPA DNON-QAPA PURPOSE / SCOPE / OBJECTIVE: See Section

1.0 CONCLUSION

l See Section 5.0 SOFI WARE USED FOR CALCULATION: UYES JCNO SDDF #: Stanufacturer: Name Version / Release No. CONFIRMATIONS REQUIRED: OYES @NO CONFIRS1ATION COh1PLETE: 0YES i ! NO X N/A KEYWORDS: Ampacity, Fire Barrier, Derating REVIEW & APPROVAL g/ fa4Ac/fTu 4f/47 d6 Lot,eist7 lgM[ L (signature /Date) (Signature /Date [ l riature/Date) Preparer: O Reviewer (Non Safety) Supervisora Tohrin Dogan @ Design Verification / Reviewcr: Ashok Bhatia

h 2 l G l3.18.14.0-lY8, Rey,1 I CALCULATION WORK SIIEET g. ATI ACllMLNTNO.t N/A C"~' ENGINEERING DEPARTMENT JBI NO t ENTERGY RIVER BEND STATION PAGE 2 OF 73 REVISION lilSTORY Res tsion Paragraph No. Description of Change No. I Calculation resised to incorporate the comments in NRC's " Request for Additional Infortnation Regarding Thermo Lag Related Ampacity Derating issues for Rher Bend (TAJ NO. M8289)" dated May 12,1997. Also reformatted in accordance with the RBS procedure EDP.AA 20. Resision ll. I Pages 2,3,4 Added per EDP. AA.20, revision ll. Page5 Resised the Table of Contents consistent with the rest of the calculation 1 2.3.6 Reworded the assumption. Added the statement regarding the radiation shape factors. 1 2.3.16 Added the assumption regarding the radiatise heat exchange between racewsys i I 3.0 Added a new paragraph to clarify the basis for the heat transfer model. I 3.2 Added a new paragraph discussing the basis for the overall heat transfer coefucient for conduits. 1 3.3 Added new paragraphs to further discuss the bases for the convectise heat transfer I coefucient and its application to cavities. 36 Was 3.7 I 3.7 Was 3.6. Expanded to include the equations for radiation shape factors. I Figures 3.2,3.3 Added for convenience and clarincation. I 4.5 Added new paragraph to discuss the signincance of emissivity of Aluminum conduits. I 5.4 Revised the text consistent with the radiation shape factors and the Table numbers. I Revised to re0cct the resised Ampacity Derating Factors Table 5.3 Added to document the radiation shape factors for Unique condgurations based on as built Table s 5.6 5 8 data. I I Revised to incorporate the resised shape factors, as built enclosure dimensions, and 1 Tables 5.9 5.16 racewsys. In Table 5.9 replaced the conduit ICK600NAl with ICK600NMI I Revised to re0cct the as built racewmy arrangements and enclosure dimensions. Figure 5.15.4 Added to prcvide clari0 cation andjusti0 cation for the heat transfer model regarding: (1) I Att. A external heat transfer coef0cient. (2) cavity heat transfer coef0cient, (3) effect of enclosure air terr.perature.

G l3.18.14.0 178. Rev, i CALCULATION WORK SilEET ATTACitMENTNO. N/A ~C ~~ ~~ ENGINEERING DEPARTMENT J ul NO.: ENTERGY RIVER llEND STATION PAGE 3 OF 13 APPLICAHLE DOCUMENTS

1. APPLICAHLE CODES. STANDARDS, & REFERENCES (NON RDS):

See Sections 6 0 and A.5

11. RBS

REFERENCES:

See section 6 0 i lit. AFFECTED DOCUMENTS: DOC. NO. REY. DOCUMENT TITLE AFFECT CilANGE N O. (Supeneded Resised, initiated, etc.) DOC.

Gl3.18.14.0178, Rev. I CALCULATION WORK SilEET ATTACHMENTh0 N/A 'CC" ENGINEERING DEPARTMENT JHI NO.i ENTERGY RIVER HEND STATION l' AGE 4 0F 13 TABLE OF CONTENTS SECTION DISCRIPTION PAGE NO N/A REVISION lilsTORY 2 N/A APPLICABLE DOCUh1ENTS 3 1.0 PURPOSE 5 2.0 h1ETI{0DOLOGY AND ASSUh1PTIONS 6 3.0 TilEORY AND EQUATIONS 11 4.0 thtPLEhtENTATION 26 5.0 AMPACITY DERATING FACTORS 42 i

6.0 REFERENCES

67 CALCULATION Cl{ECK LIST 70 DESIGN VERIFICATION 71 ATTACl{hiENT A Evaluation of heat Transfei CoefDcients Al ATTACilh1ENT B Excerpts from Selected References B1

G13.18.14.o 178. Rev.1 CALCULATION WORK SilEET ATTACllMI NI NO.I N/A -C.. 2 ENGINEERING DEPARTMENT JBI NW ENTERGY RIVER HEND STATION l' AGE $ OF 73 1.0 PURPOSE-- The purpose of this calculation is to establish the Ampacity Derating Factors (ADF) for Thenno Lag (T. L) 3301 enclosures at RBS. The enclosures considered are described below. 1.1 Standard Tested Conflgurations RBS T L tray configurations (one hour single tray and one hour two tray stack enclosures) that are similar to configurations previously analyzed / tested by the industry for which ADFs were detennined. These ADFs will be established as applicable to the " Standard Tested Configurations" at RBS by this analysis. l l 1.2 Standard Untested Cc flgurations l These configurations consist of two categories: RBS T L aluminum conduit enclosures (one. hour and three hour single conduit enclosures) and RBS T L three hour single tray enclosures. Con 0gurations similar to these have been tested / analyzed by the industry. However, the results are not directly applicable to the RBS T L configurations due to the differences in conduit material or the T L thickness. Therefore, the ADF factors for these " Standard Untested Configurations" are established by heat transfer analysis in this calculation, 1.3 Unique Configurations RBS T L configurations for which there are no industry tested / analyzed configurations that match the RBS configurations. ADF factors for these " Unique" configurations are established by heat transfer analysis in this calculation. The unique configurations consist of multiple raceways enclosed in a common enclosure with the exception of one hour two tray stack which is included with the " Standard Tested Configurations" discussed in paragraph 1.1 above, i l

a CALCULATION WORK SIIEET G 13.18.140178, Rev. I ATTACilMENINO. N/A ~C N ENGINEERING DEPART 51ENT JBI No.: ENTERGY RIVER HEND STATION l' AGE 6 Ol' 73 2.0 51ETiiODOLOGY AND ASSUSIPTIONS

2. /

Definittom The definitions given below are taken from (Ref.l. Section A.2]. Ampacity. Haseline (/w,,,,,,): The ampacity of a cable in an unwTapped raceway. /w,f,,,, equals the nominal ampacity, /,,,,,,, times all applicable correction factors such as conductor and ambient temperature, conduit grouping, number of conductors in conduit, tray covers, etc. l Ampacity. Nominal (/,,,,,,): The ampacity of a cable based on the construction of the cable (i.e., l conductor size, insulation, diameter, etc.) as given in the applicable standards such as (Refs. 2 and 3]. Ampacity. Protected (/,,,,,,,,,g): The ampacity of a cable for the raceway configuration while protected by the fire barrier. i Ampacity Derating Factor (ADF): The percentage reduction in measured ampacity between the unprotected configuration (baseline ampacity) and protected configuration. ADF values are calculated from: A DF = *"" ~'#*"'" x100 (1) Inar.,, 2.2 Methodoloer The ampacity derating factors are determined by performing heat transfer analysis for the enclosures. The essential criteria is that the heat generated within the cal,les must be dissipated to the surrounding medium without causing the cable conductor / insulation temperature to exceed a specified temperature limit. The heat transfer relations are taken from basic heat transfer texts such as (Refs,6,7,10, and 16]. The heet transfer method is described in section 3.0. Verification of the mediod, sensitivity studies, and the application to the RBS configurations are discussed in Section 4.0. Detailed calculations and the results for RBS are given in Section 5.0.

G l3.18.14.0178. Rev. I CALCULATION WORK SilEET ATTACllMENINO. N'A CN ENGINEERING DEPARTMENT JilI NO. ENTERGY RIVER HEND STATION PAGE 7 Ol' 73 23 Anumotionr The calculation is based on the assumptions stated below. 2.3.1. The ampacity derating factors are for a cable with a 90'C (194'F) insulation rating in an ambient temperature of 40'C (104"F). For temperatures other than these an additional factor (Conductor and Ambient Temperature Correction Factor), as defined in [Ref.1. Section A.4.l], must be applied. THs approach is consistent with accepted industry practices such as those described in [Ref. 2, paragraph 310 15, and Ref. 3, paragraph B]. 2.3.2. Thermo Lag thickness is at the upper fabrication tolerance specified by the manufacturer. This is a conservative assumption since it increases the thermal resistance of the enclosure and results in lower ampacity. 2.3.3. Where pre shaped half rounds are used to wrap the individual conduits,it is assumed that there is a 1/8 inch wide air gap between the conduit and the Thenno Lag panel. Per [Ref,4], there may be an air gap of about % inch on one side of the conduit. Therefore, a uniform air gap of 1/8 inch width around the full perimeter of the conduit is reasonable. Assuming a gap between the conduit and the Thermo Lag panel is conservative since it results in higher thermal resistance (than a solid contact case) and lowers the ampacity. 2.3.4. The ampacity derating factors are based on a model cable till (lKV, size 8, three conductor copper cable with rubber insuletion). This approach simplifies the calculations as well as the subsequent application of the results to actual cables. The approach isjustified for the following reasons: The calculation determines the ampacity derating factor (which reflects the percent change in the ampacity from a baseline case); it does not determine the actual ampacities for individual cables. Individual cable ampacities are determined by applying the ampacity derating factors determined in this calculation to the corresponding baseline ampacities which account for the size and the type of the cable. For a given raceway the governing parameter for the ampacity is the heat generation rate within the tr.ceway. Thus, the ampacity derating factor is a measure of the reduction in the heat generation rate due to the presence of the enclosure. Since this heat generation rate is independent of the size of the cable, a model cable can be used to represent an assortment of cables. Sensitivity studies on conductor size and conductor material in Section 4.2 demonstrate that for a given raceway configuration the ampacity derating factor increases with decreasing conductor size. Since the #8 size conductor is in the small power cable category (it is the smallest size listed in the ampacity tables in [Ref. 3] the results

Gl3.18.14.0178, Rn I CALCULATION WORK SilEET ATTACitMENTNO.: N/A ENGINEERING DEPARTMENT JBI No.: ENTERGY RIVER HEND STATION Pact a or 73 obtained for the #8 model cable are conservatively applicable to other cable sizes. The sensitivity studies also demonstrate that the ampacity derating factor is relatively insensitive te the conductor material. Therefore the ampacity derating factors detennined for copper conductors are also applicable to aluminum conductors. 2.3.5. Ileat transfer from the sides of the cable bed in trays is ignored. This assumption is conservative since it reduces the ampacity by restricting the heat transfer rate. This is also consistent with the method described in [Ref. 5, page 964). 2.3.6. The walls of the enclosure are assumed to be at a uniform temperature. For small enclosures this is a reasonable assumption since convective currents and direct radiation effects create a relatively uniform enclosure temperature. The assumption is somewhat restrictive for large enclosures with multiple raceways since variations in the wall temperature might exist due to localized radiation and stratification effects. There are two configurations at RDS that are large enclosures: configurations Ul shown in Figure 5.1, and configuration U2 shown in Figure 5.2. In calculating the ampacity derating factors for these configurations the portion of the enclosure wall below the bottom of the lowest power raceway is assumed not to participate in heat dissipation. This is a conservative approach and is expected to ofTset any nonconservatism that may have been introduced by the uniform wall temperature assumption because the lower portion of the enclosure still participates in heat dissipation through multiple reflections of the radiative heat and through the formation of convective cells, it is not totally inactive as assumed in this calculation. Therefore, the assumption that the portion of the banier wall below the bottom of the lowest raceway does not participate in heat dissipation is not applied to the calculation of the radiation shape factors. It is applied only to the area term that appeers in heat transfer involving the barrier wall, i.e., the term A in Equations 12 and 13 in section 3.0 of the 3 calculction. The enclosure surface temperature varies from case to case as dictated by the heat transfer features of each case (i.e., heat generation rate by the cables, surface area of the enclosure, wall thickness etc.). There is no restriction imposed on the surface temperature as discussed in [Ref. 9, page A2 3, item 3]. 2.3.7. The natural convection heat transfer coefficient is calculated by assuming a laminar heat transfer regime and by choosing the full width of the tray as the basis for the characteristic length. This approach reduces the calculated ampacity by reducing the convective heat transfer rate. 2.3.8. Enclosure cross section is assumed to be uniform. Where cross section varies along the enclosure, calculations are performed at a representative minimum cross sectional area. This is a conservative assumption since the empacity decreases with decreasing area. 2.3.9. Concrete walls that may form part of the enclosure are counted as equivalent T L panels having an area equal to approximately 40 percent of the actual concrete wall area. Derivation of this

G l3.18.i d.0 178. Rev, i CALCULATION WORK SIIEET ATTACllMENTNO.1 N/A ~~ N ENGINEERING DEPARTMENT J ul N o.: ENTERGY RIVER llEND STATION PAGE 9 OF 73 equivalence is given in Section 3.6. The derivation uses steady state one dimensional heat transfer equations, is based on three feet wall thickness, and neglects contribution to heat dissipation due to two dimensional effects (the wall is capable of dissipating the heat laterally as well as perpendicular to its surface). Neglecting the two dimensional effects is conservative since it results in lower heat dissipation rate, and consequently, higher ampacity derating factor. 2.3.10. Ampacity derating factor for " Standard Untested" cable trays is based on one inch random cable Gli depth. The cable fill depth can be as high as three inches. One inch depth is the minimum value for which baseline ampacities for random fill trays are provided in (Ref. 8]. Using one inch depth is conservative since the ampacity derating factor increases with decreasing cable Gli depth as discussed in Section 4.2. I 2.3.11. Ampacity derating factor for " Standard Untested" conduits is based on maximum percent fill specified in [Ref. 2, Chapter 9, Table 1). Using the maximum percent fill is conservative since the ampacity derating factor increases with increasing percent fill as demonstrated in Section 4.2. 2.3.12. Raceways carrying power cables are assumed to be above the raceways carrying control and'or instrument cables. This is a common industry practice. 2.3.13. Conductor resistance of the model cable used for the analysis of the RBS con 0gurations is taken from (Ref.18). This resistance value is about seven percent higher than the values given in (Ref. 3) as shown below: From [Ref. 3, Volume 1, page 309] R.,(at 75'C) =0.779 Ohm /1000 ft Adjusting to 90 C per [Ref. 2, Chapter 9 Table 8] R., (at 90'C) = 0.779 (1+0.00323(90 75)) = 0.817 Ohm /1000 ft (Ref.18] specifies 0.875 Ohm /1000 ft. Which is about 7% higher. Using higher resistance is conservative since it results in lower ampacity (therefore higher ampacity derating factor). 2.3.14. Emissivity of aluminum conduits is assumed to be 0.2. Detailed discussion andjustification for this assumption is provided in Section 4.5. 2.3.15. The clearance between stacked trays is 9 inches. This is based on the minimum tray separation distance of 15 inches (16"il" specified in (Ref. 22) and 6 inches of side rail height. The 9 inch clearance is also consistent with the values used in (Ref. 9, pages A3-2, A310].

G13.18.14.0178, Rev. I CALCULATION WORK SilEET g ATTACllMEN1NO. N/A ENGINEERING DEPARTMENT JHI NO.: ENTERGY RIVER llEND STATION PAGE 10 OF 73 e-.. 2.3.16.11 eat transfer between the individual raceways in a common enclosure is neglected since the temperature ditTerence between the raceways is small. This is a reasonable assumption since all cables in all raceways have the same conductor temperature (194 'F), and the raceway temperature closely follows the cable conductor temperature.

~""" G t J.18.14.0 178, l(ev, I CALCULATION WORK SilEET ATTACllMEN I NO.: N/A 2' LNGINEERING DEPARTMENT Jill NO t ENTERGY RIVER HEND STATION l' AGE ll OF 73 3.0 TilEORY AND EQUATIONS A typical enclosure that is considered in this calculation is illustrated in Figure 3.1. The enclosure is constructed from Thermo Lag panels and encloses one or more cable trays, conduits or combinations of the two. The corresponding thermal model of the system showing the thermal resistances and the node temp;ratures is illustrated in Figure 3.2. The heat generated within each raceway (cable tray or conduit) is conducted away through the cab!e bed. The total heat generated by all of the raceways is dissipated to the suricunding atmosphere first by radiative and convective heat transfer through the enclosure air gap, then by v Juction through the enclosure wall, and finally by radiation and convection from the surface of the enclosure to the surrounding area, in case of single conduits enclosed by pre formed half round Thermo Lag sections, there may be a small air gap between the conduit wall and the Thermo Lag material. The heat transfer roodel described here accounts for this gap also. The heat transfer model is intended to be reasonably consenative and practical rather than emphasize the details. The geometry of the fire barriers is not an idealized geometry lending itscif to straight forward application of engineering principles and requires appropriate approximations, assumptions, and engineering judgment to allow analysis, in the model the parameters that are of secondary importance (such as the convective heat transfer coefficient) are kept intentionally simple yet conservative. Attachment A provides a detailed discussion of the bases for the convective heat transfer coefficients and demonstrates that the equations used in the model are reasonably conservative without imposing a penalty on the results. The applicable equations for each stage of the heat transfer are described below starting with heat generated within the cables and ending with dissipation of this heat to the surrounding. The heat generation rates and heat transfer rates are for a unit length (i c., per foot) of the racevmy. Ii Heat Generation Rate Heat is generated within each raceway according to: a,,f R)/ C (2) q, = (n n where q, heat generation rate per unit length of the raceway, Btu /h ft (h is used to designate " hour" throughout this calculation) C unit conversion constant,0.2931 W h/Dtu / conductor current, Amperes R conductor resistance (ac) per unit length, ohm /f1 n,,,, number ofconductors per cable n,,,a number of cables in the raceway cable subscript for cable

G 13.18.14.0 178. Rev, I CALCULATION WORK SIIEET ATTACilMENT NO.: N/A ~DU~ ENGINEERING DEPARTMENT Jill NO ENTERGY RIVER HEND STATION l' AGE 12 OF 73 con subscript for conductor subscript for raceway r Equation 2 above is an extension of equation 2 of[Ref. 5} for a single conductor to a raceway containing multiple cables with multiple conductors, The number of cables within the raceway is calculated from equadon 3 below. The equation for cable trays is derived from the equation in (Ref, l Section A.2). The equation for conduits is based on the l ratio of the actual cross sectional area occupied by the cables to the inside cross sectional area of the l conduit. n,,,,,, = ,,d' for cable trays w '['d" (3) d,n,, - 21, a,, percent fill n, = for conduits d,,,,,, 100 l where l w, width of the tray (width of the cable bed), R d, depth of cable fill of the tray, ft d,,,u, diameter of the cable, R d,,,,s,,,, outside diameter of the conduit, ft I ,,s,,,, conduit wall thickness,11 co I subscript for " tray" conduit subscript for " conduit" The parameter w,is in reality the width of the cable bed in the tray When the tray is fi!!ed at least one fulllayer of cables, w, becomes identical with the width of the tray, if, however, the cables do not cover the full width of the tray, w,is set equal to the width of the cable bed. 32 Heat Transfer throueh the Cable Bed or the Conduit The heat q, generated within each raceway is conducted through the cable bed to the surface of the raceway. The equations describing the heat transfer can be derived by assuming uniform heat generation within the raceway, Cable beds in cable trays are treated as slabs with uniform heat generation. Conduits are treated as long cylinders with uniform diameter. This approach is conservative since it ignores the axial heat transfer along the cable and results in a higher thermal resistance for the cable bundle. The applicable equations are taken from (Ref. 7, page 18]. q, = [ 4k'" ] (2w,)(T, - T,) = U,(2w,)(T,, - T,) d, forcabletrays (4) q, = U,n,,(nd,a,,)( T, - T,) forconduits

G l).18.14.0173, Rev, i e CALCULATION WORK SilEET ~ ATTACHMENTNO.t N/A 'N ENGINEERING DEPARTMENT Jill No.: ENTERGY RIVER HEND STATION l' AGE 13 of' 73 where Q equivalent thermal conductivity of the cable bed, Btu /h ft 'F T., conductor temperature, "F T, surface temperature of the raceway,'F U overall heat transfer coemeient defined by the expression inside the bracket, utu/h ft F The overall heat transfer coemclent U, for cable trays is calculated directly using the corresponding expressions in equation 4. The overall heat transfer coefficient for conduits U,,a,,,,. is back calculated frora the baseline ampacity data. This is done by calculating q, from equsion 2 corresponding to the baseline ampacity and substituting the calculated value into equation 4 with the appropriate ternperature terms and the conduit diameter. See Section 4.3 for more details. The model described above for the thermal resistance of the conduit accounts for the thermal resistance within the cable bundle and the thermal resistance from the cables to the conduit wall. The model, however, does not distinguish between these resistances indivi%lly, but combines them into a single equivalent resistance defined by the heat transfer coemclent U,,a,,,. This is acceptable for the purpose of the model since the intermediate temperature between the cables and the conduit wall is not necessary to the ampacity calculation. The combined heat transfer coefficient U,,a,,,,is back calculated from IEEE conduit ampacity tables [Ref.3]. A direct method based on the first principles, such as the popular Neher McGrath [Ref.15] method, would require several assumptions and approximations regarding the cable configuration within the conduit (how tightly they are bundled together, how symmetric they are, contact area, contact heat transfer coemeient, etc.), and would be too tedious to implement. Instead a method based on back calculation was chosen This method,in essence, back calculates the cable conductor to conduit thermal resistance from the ampacity data published by IEEE (Ref. 3], and is preferred to the direct method since it is straight forward and easier to apply. Furthermore, the method ensures consistency with the IEEE conduit ampacity tables, i.e., in the absence of a fire barrier the method produces an ampacity value consistent with the IEEE tables. The method is also consistent with the Neher McGrath methodology since the ampacity data used to calculate it, i.e., IEEE tables, are generated using the Neher McGrath method. 3.3 Heat Transfer from the Racenav to the Enclowre It'all The heat generated within the cable bed and arriving at the surface of the raceway is transferred to the enclosure wall by convection and radiation according to (Ref.16, p:203]; q, = (h, + ha ) A,( T, - T,.,,, ) (5) where h, convective heat transfer coemcient, Btu /h ft' 'F 2 h,a radiative heat transfer coefficient, Btu /h ft,op A, heat transfer area (per unit length) of the raceway, ft'/ft

Gl3.18.14.0178 Rev, i CALCULATION WORK SilEET A1TACHMENTNO. N/A ENGINEERING DEPARTMENT JtilNO.: ENTERGY RIVFR HEND STATION Pact 14 or 73 T.,, inside surface temperature of the enclosure,'F 3 T, surface temperature of the raceway,"F The heat transfer area is calculated from A = 2 w, for cable trays A = n d,,s, for conduits (6) \\ A = n d,, for cablebundles The radiative heat transfer coemeient h,a between two surfaces (surface I and surface 2)is determined using its general definition. Since q=hA(T,.T) an equivalent radiative heat transfer coefficient can be 2 defined as h,a=q,dA(T,.T:> where the net radiative heat transfer y,a, is given by [Ref.16, p.203), o[( T + 460)' -( T, + 460)') Y '*' " 1 - c, 1 1-cy (7) c, A, 6, A,

r., A, i

Expanding the expression inside the bracket and combining with the definition for h,a h,,, = a[( T + 460)3 + ( T, + 460)2 ][(T + 460) + (T, + 460)] (8) +-+ c b2 c2 N l 2 where h,a radiative heat transfer coeflicient, Btu /h ft' F c emissivity of the surface, dimensionless 4 d Stefan Boltzmann constant (0.1714x10 Btu /h ft' *R,(Ref.16, p: 174) a 2 A surface awa participating in radiative heat transfer, h Fj,, shape factor, dimensionless Equation 8 is applied to the radiative heat exchange between the raceway and the enclosure by assigning the subscript / to the raceway and the subscript 2 to the inside wall of the r,:losure, it should be noted that the radiative heat transfer coefficient, h,a, increases with decreasing area ratio A/A. This may be 2 unrealistic for large enclosures containing several raceways (i.e., Unique Configurations Ul and U2 in Figures 5.1 and 5.2). In such cases A/A is set to unity. This amounts to assuming that each raceway f within the common enclosure exchanges heat radiatively with a portion of the enclosure wall no larger than the surface area of the raceway itself. The convective heat transfer coefficient h, is based on laminar heat transfer regime and has the following general form

8 Gl3. lit.14.0171, Rav. I l CAi,CULATION WORK St EET ATTACitMENINO. N/A C""~2 ENGINEERING DEPARTMENT J BI No.: ENTERGY RIVER BEND STATION l' AGE 15 0f 73 h, = f(aT)" (9) where L is the charactenstic length ATis the temperature difTerence, and a and n are appropriate constants as defined in [Ref. 6. page 315). The characteristic length L is set equal to the tray width (w,) for cable trays, to the outside diameter d,,s,,, for conduits, and to the largest dimension (width or height) m for the enclosure walls. The parameters a and n are chosen to produce a low (i.e., conservative) heat transfer cocmcient as: a = 0.2 l n=1/4 l A more accurate calculation of the convective heat transfer coemclent can be accomplished by distinguishing between the heat transfer regimes (tutbulent vs. laminar), suface orientation (horizontal vs. vertical), geometry (cylindrical vs. plane), and direction of heat flow (up or down). Each of these cases can be represented by appropriate choice of the coefficient a and the exponent n. The heat transfer model does not make this distinction but assigns reasonably conservative values to the parameters a and n to bound all of the cases stated above consistent with the recommended values in ICEA [Ref. 8, Attachment B]. As discussed in Attachment A, the heat transfer coemcient calculated by equation 9 can be regarded as the area weighted average heat transfer coemeient for a horizontal cable bed. The value calculated by Equation 9 also bounds the heat transfer coemeient for vertical cable beds and vertical or horizantal conduits. Evaluations in Attachment A show that the added benefit of usbg special forms of Equation 9 on the ampacity derating factor is within the calculational accuracy of the method. The convective heat transfer is from the raceway to the air in the enclosure and then from the air to the inner surface of the enclosure. Therefore, 9, = A, h,.,, ( T, - T, ) = A, h,.,, ( T, - T,.,,, ) = A, h,.,, ( T, - T,.,,, ) (10) where h,.,3 overall convective heat transfer coemcient from the raceway to the enclusure wall, Btu /h-2ft 'F. h,.,, convective heat transfer coemeient from the raceway to the air inside the enclosure, Btu /h-ft' 'F. h,43 convective heat transfer coefficient from the air inside the enclosure to the surfact of the 2 enclosure, Bru/h ft,op, T, air temperature surrounding the raceway, "F T.,,, inside surface temperature of the enclosure, F 3 T, surface temperature of the raceway, *F A, surface area of the enclosure, ft' s

{-' G 13.18.14.0. I h, Rei. I CALCULATION WORK SilEET ATTACHMLNTNO. N/A 7~~ ENGINEERING DEPARTMENT JHINO. ENTiROY RIVER llEND STATION l' AGE 16 Ol' U <t, surface are: of ths raceway, ft: The evcuti convectis e heat trander coefficient h,.,$ s detennined by eliminating the temperatute terms i (T,. T,.. O n) trom equation 10. The resulting expression is compared with the conduction heat transfer cotmeient across :be encicssa gap snd the maximum of the two is taken. The expression for h,.,3 s i given below. i h"' h,.,, = Martmumof < (ll) 1+( )(

• )

'8 in this equation the conduction hest transfer coemeient is given by 4/t, where k, is the thermal conductivity of air in the gap (Bxh fl#F) and I,is the width of the air gap (11). In situations where the enclosure width is small (as in the gap between the conduit and the T L panel) the conduction heat transfer coef6cient becomes larger than the convective heat transfer coemcient. In such cases the heat transfer coefficient is based on the conduction heat transfer coefficient. The convective heat transfer coemcient calculated by Eqaution 11 can be compared to the heat transfer coemeient in a cavity. In fact, the air space between a cable tray and its fire barrier can be considered a cavity and can be treated as such by using heat transfer equations that are specifically developed for cavities (Ref. 24). A cavity model based on cavity heat transfer equations was not implemented to keep the model sim,.e and sumciently general. Evaluations in Attachment A show that the added benent of using a cavby equation on the ampacity derating factor is within the calculational accuracy of the method. Tb approach used in modeling the convective heat transfer from the raceway to the enclosure results in different enclosure air temivrature (T,) for each raceway as opposed to calculating a mean air temperature for the entire raceway system based on the total heat generated by all of the raceways. The effect of this on the overall heat transfer coemcient (therefore the heat transfer rate)is negligibly small as demonstrated in Attachment A. As :hown in Figure 3.2 only the temperature surrounding the racewey is treated independent of the total heat generation rate. The barrier temperature (inside and outside)is based on the total heat generated simultaneously by all of the raceways enclosed within the barrier. Since difTerent raceways within the same barrier may have different thermal resistances, it is natural to expect that they may also have difTerent surrounding air temperatures. This difTerence, however, is only a small fraction of the overall temperature difference for the entire raceway barrier system. This deviation from the mean air temperature does not introduce a non conservatism into the results. On the contrary, it introduces conservatism, though negligibly small, because the raceway to-barrier conwetive heat transfer coefficient attains its highest value when based on the mean temperature. Any temperature above or below it produces a smaller heat transfer coefficient. Since the approach of simultaneous heat transfer would result in a single inteinal enclosure air temperature very close to the

Gl3.18.14.0178 Rev. I 3 CALCULATION WORK SilEET ATTACHMENTNO. N/A ENGINEERING DFPARTMENT JulNO.: ENTERGY RIVER HEND STATION PAG E 17 OF 73 mean air temperature, the approach described above is preferred because ofits conservatism and practicality. The approach also assumes that each raceway interacts convectively with the full area of the enclosure. This is a somewhat restrictive assumption and conflicts to some extent with the assumption that different raceways within the same enclosure may be surrounded by different air temperature. The overall effect, however, is not expected to be significant since: (1) Heat transfer mechanism is predominantly radiative rather than convective, the assumption described above applies only to the convective portion of the heat transfer: (2) Thermal resistance within the enclosure air space is only a small fraction of the overall thermal iesistance of the system. Nonetheless, for large enclosures containing multiple raceways it has been assumed that each raceway within the common enclosure exchanges heat with the enclosure wall over an area no larger than the surface area of the raceway itself,i.e., A/A in Equation i1 is unity. 3

3..I Heat Transfer throuch The Enclosure ll'all Heat transfer through the enclosure wall is by conduction according to the following equations

[ q, = l- ) As( Ts.,, - Ts.our ) = Us As( Ts.,, - Ts.o,,) Jiat enclosures b (l2) [q, a l )(2nr )(Ts.,, - Ts.o,,) = Us(2nts)(Ts.,, - Ts.ou,) cylindricalencl. s 'b r in s r - ts s where k thermal conductivity of the barrier, Bttuh ft *F 3 r, outer radius of a circular enclosure (used on conduits), n 3 thickness of the enclosure, ft 1 T.o,, outside surface temperature of the enclosure. 'F 3 3$ Heat Transfer from the Enclosure li'all to the Ambient Heat transfer from the enclosure wall to the ambient is by convection and radiation according to the following equation. [ q, = (h,.s, + h,a.3,) A ( T - T,) (l3) 3 3 where h,.3, convective heat transfer coeflicient from the enclosure to the ambient, Btu /h ft'. F h,a.3, radiative heat transfer coefficient from the enclosure to the ambient, Btu /h R F 2 T, ambient temperature, F

e CALCULATIONWORKShr:ET G l3.18,14.0178, Rev, i ATIACllMENTNO. N/A ~2~~' ENGINEERING DEPARTMENT JIH No.: ENTERGY RIVER HEND STATION PAGE 18 OF 73 The area term A in equations 12 and 13 above is the net external area of the enclosure per unit length, if 3 the enclosure is not in ec,ntact with nearby walls A,is equal to the perimeter of the enclosure. If however, part of the enclosure is formed by walls then A,is set equal to the perimeter of the enclosure minus the perimeter of the wall contact (A,,). The heat transfer coefficients h,.S and h,a u are calculated from equations 8 and 9 by assigning the I subscripts 1 to the enclosure outside wall, and subscript 2 to the ambient. J6 Heat Transfer throuch Concrete Walls in some enclosures part of the fire barrier is formed by a concrete wall. In such cases the concrete wall is modeled as an equivalent T L panel of a smaller area. The equivalent T L panel area is calculated from the following identity. A,U, = A,U, (14) where 3 A heat transfer area, ft U overall heat transfer coeflicient, Btu /h ft'- F b subscript for Thermo Lag subscript for concrete wall w The overall heat transfer coeflicient is calculated from i 1 1 t' 1 - = - + - + - - + - U U, h,, k, h,,, (15) where U, overall heat transfer coefficient for the raceway (U, or U,,,4,,in equation 4), Btu /h ft F h,, heat transfer coefficient from the raceway to the enclosure wall (h,+h,a in equation 5). a Btu /h ft,op hu heat transfer coefkient from the enclosure to the ambient (h,.u+h,a.u in equation 13), Btu /h ft* *F t thickness, R k thermal conductivity, Btu /h ft F Using the following upper bound values for the heat transfer coefficients obtained from the detailed calculations in Section 5.0, 2 U, 5.0 Btu /h h,op

G 13.18.14.0 178. Rev. I CALCULATION WORK SilEET AlTACllM ENTNO.: N/A ENGINEERING DEPARTMENT JHI NO. ENTERGY RIVER HEND STATION PAGE 19 Ol' 73 3 h,. 1.5 Btu /h ft *F hu 1.5 Btuh ft' *F

and, k,

0.92 Btu /h ft 'F, from [Ref.13] k 0.09 Btwh fb'F. from [ Table 4.3) 3 l Equation 15 yields, 1 = 1.5 3 + = (16) U, 0.09 0.09 and 0b "' 9 = 1.5 3 + (i7) substituting these into equation 14 and solving for A 3 A, = A. 10.2 14 + t* ' O 1.41 + t ; (18) For I,,=311 and t =0.05ft (5/8"), the expression inside the parenthesis evaluates to 0.44, i.e., each square 3 feet of a 3 ft thick concrete wall is equivalent to 0.44 square feet of 5/8" thick T L panel. Approximation of concrete walls in terms of an equivalent T L panel according to equation 18 is conservative for the following reasons:

1. Lateral heat transfer through the concrete wall is neglected.

2. The heat transfer h,3 and hu coefficients are taken near their upper limits in deriving equation 18.

The above derivation is based on steady state conditions as is the whole heat transfer method. Under transient conditions (if applicable) the concrete wall has a higher heat transfer capability. Therefore, equation 18 is conservatively applicable under steady state or transient conditions.

3. 7 Radiation Shane Factors Radiation shape factors are applied to multiple raceways in a common fire barrier. Distinction is made between different configurations regarding tray to tray, conduit to-conduit, and conduit to tray shape factors. These shape factors are used to define a raceway to-enclosure shape factor (Fn in equation 8).

4

G l3.1R.I4.0178. Hev. I CALCULATION WORK SIIEET ATTACilMENTNO.: N/A CN~ ENGINEERING DEP ARTMENT Jill NO.: ENTERGY RIVER HEND STATION l' AGE 20 Oli The equations for the shape factors are taken from (Ref. 23) and are reproduced below for the most common configurations. Figure 3.3 illustrates the configurations considered and the nomenclature used. Radiation shape factor F, for stacked trays in a common enclosure is calculated using the equation for two parallel plates of widths "w," and "w," separated by distance "L": F, = }< w, + w,1: + 4 L' - )( w, - w, j' + J L; (19) ,. w, where F, radiation shape factor from plate "i" to plate "j" width of the plate w L perpendicular distance (gap) between the plates Radiation shape factor F,, for multiple conduits in a common enclosure is calculated using the equation for two parallel cylinders with radii r, and r, separated by distance (gap) s: F, = ln + [C' - r R + 1)' J -(C' -(R - 1)' J' ' +< R - tscos(f - h] (20) -rR + 1Jcost + h)) where R =r/r, S=s/r, C=l+R+S and F, radiation shape factor from cylinde "i" to cylinder "j" radius of the cylinder r s gap between the cylinders Radiation shape factor F from a tray (i) to a conduit (/) in a conunon enclosure is calculated using the y relation for a parallel cylinder and a plane: F, = ran#1- - tan #I-(21) sg-s L L, Equations 19,20, and 21 are applied, as appropriate, to raceways in common enclosures in conjunction with the reciprocity theorem (A,F =A,F,) and the summation rule (U =/). An overall radiation shape y j y

Gl).18.14.0178. Rev. l l CALCULATION WORK SilEET - ATTACllMENTNO.: N/A '~' ENGINEERING DEPARTMENT J BI NO.: ~- WNTERGY RIVER llEND STATION l' AGE 21 Or 73 factor for the raceway is, then, calculated as the area weighted average of the individual shape factors for each face of the raceway, i.e., F;; = [( )Q

• I (22) where F;

overall shape factor between raceway (1) and its surrounding (2) f A total surface area of the raceway f A, surface area of side "i" of the raceway F,; shape factor between the side "i" of the raceway and its surrounding The radiation shape factors for configurations involving stacked trays or rows of conduhs are described below. Stacked Tra)s: The cable bed in a tray has an upper surface and a lower surfece, each with fifty percent of the total area. If the surface is directly facing the enclosure wall then F ;=1.0 for that surface. If the f surface is obstructed by another tray or row of conduits directly above or below, then it exchanges heat with the side of the enclosure. The shape factor between the surface of the cable bed and the sides are determined by making use of the equation for the shape factor between two parallel plates (Eqn.19). This shape factor varies as a function of the of the width of the planes and the distance between the planes as shown below: Width (in) 18 24 30 Separation (in) 9 9 9 F,,(plane to-planc) 0.62 0.69 0.74 F,,(plane to sides) 1 0 62=0.38 1 0.69=0.31 1 0.74 =0.26 Noting that the cable bed has a top surface and a bottom surface (heat transfer from the sides is neglected per assumption 2.3.5), and each surface exchanges heat radiative!y with at lerat the left and the right wall of the enclosure, the shape factor for the whole tray can be calculated by using the weighted average of the shape factors for the top and the bottom surfaces. Thus, in an enclosure with a stack of three 18 inch trays with 9 inches of clearance between them, the overall shape factors are: Top (or bottom) Tray: Fi2 = (1.0x0.5)+(0.38x0.5) = 0.69 Intermediate Tray: Fi2 = (0.38x0.5)+(0.38x0.5= 0.38

G l3.18.14.6178, Rey,1 CALCULATION WORK SIIEET ATTACitM ENTNO.: N/A ~~Z-ENGINEERING DEPARTMENT JBI No.: ENTERGY RIVER HEND STATION PAGE 22 Ol' 73 Row ofconduits: Shape factors for condoits in a row are determined using Equation 20. The shape factor between two parallel conduits ofidentical diameter with center to center distance equal to 1.25 diameters is 0.14. Therefore the shape factor between the conduit and the ambient (i.e., everything except the adjacent conduit)is Fn=(1.0 0.14)=0.86. Thus, in a row (or stack of conduits) the overall shape factors are: Top (or bottom) Conduit: F : = (l.0 0.14) = 0.86 i Intermediate Conduits: F r -(12x0.14) = 0.72 i For two conduits of equal diameter contacting each other the shape factor from Equation 20 is F z = (1 1x0.18) = 0.82. i

l Gl3.lg.14.0.lY8, Res l t i CALCULATION WORK SHEET ~ l ATTACHMENINO.: N/A 1 ENGINEERING DEPARTMENT JBI NO.: j EmW RIVER BEND STATION PAG E 1.10F 73 1 i ac = O._ i l ec l I anAtipts sinceways se A conewus su:Losums 1 k n;.t3 i =_ =_ n. .e 4 i Heat Plow 4l> :,e : h -'* 4 W:. 4 4 l Enclosure At space 4> \\ l 1 p at &fffff& ~ .? ] 4 4 t i i a+ 4 e Fire semer . mat m a noest eo,,= to t.o m,. m <=ssatuces s.ons ans nesumes o, we mat tau wsa ecorecewis: i j Figure 3.1 Ilent Transfer Model i l 4 ~..-__-,..u--- +..e

GlJ,18.id,0178 Rev, i 8 CALCULATION WORK SilEE T ATTACHMENTNO. N/A T-ENGINEERING DEPARTMENT JHI NO.: ENTERGY RIVER HEND STATION PAGE 24 OF 73 i fil11.TM o%M rl (0%Dtit (0%DLIT toIlltillt AllWt(t j tlRPM1 e ut inctostup LWeil kW r (owtrrm : w,,i w,u Irl 9'l ist ws/ i ew.tt r, co%otrim g / ws w at l unononcmmm nu stun gri "4w %' r. tw ii.;,, -A Ctil! 8[D (tlltil 814Cf C(31110 8 LiA111 Ut M401 brdh ,txtw ui N.M[ rr) f rms e

e wwI t., W.u w

SntBOLS SUBSCRIPTS 4 ThermalResistance(=l/Ah or iIAU) h heattransfercor$cient a ambient n conductor q heat Dow rate b banier r raceway

• Temperatwe Node i temperature e consective rad radiatise U oserallheattransferccc5cient e enclosure Figure 3.2 Thermal Model of Multiple Raceways in a Common Enclosure

Gl3.18.4 4.0-178. Rev. I CALCULATION WORK SHEET ATTACHMENTNO.: N/A ~=Z=~ ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAGE 25 OI 73 9,- "i I I 'L L w _*) Parallel Planes = - ri rj i l Parallel Cylinders s ri_ Fr sl L wj s2 ~ ~ Parallel Plane and Cylinder i cc h cth n i vl s 1 " [ Nomenclature for Unique Configurations b ct v c + 'M b l w I

ti-v d

i i Figure 3.3 Common Configurations for Radiation Shape Factors

Gl3.18.14.0178, Rev. I CALCULATION WORK SHEET ATTACHMENTNO.: N/A ~2 N ENGINEERING DEPARTMENT JHI NO.: ENTERGY RIVER BEND STATION PAGE 26 OF 73 4.0 IMPLEMENTATION

4. )

Verincation of Yhe Method The heat transfer method described in Section 3.0 was verified against available industry data ia establish the conservatism of the method. The verification cases involved an unprotected 24 inch single tray, a protected 24 inch single tray, and a 2 inch conduit. The tray size chosen is considered a common average tray size used in the industry. [Ref. 9] is not specific about the tray size used in Sandia National Laboratory's single tray study. However, as discusred in Section 5.2.1, the trav 'te is not an important factor in determining the ampacity derating factor for single trays. The unprotected tray case compares the predicted ampacity with the nominal ampacity published in (Ref. 81. The protected tray and the conduit cases compare the predicted ADF values with the available industry tested / analyzed data. The industry data was obtained from (Refs. 8 and 9]. The input data used in the verification cases and the comparison of the results are summarized in Table 4.1. Detailed calculations are contained in Tables 4.5 through 4.8. The input data for all cases were chosen to minimize the conservatism of the calculated results, i.e., to calculate a low ADF value for the protected raceways and a high ampacity for the unprotected tray. Thus, the enclosure wall thickness is set at the minimum value specified by the manufacturer, the thermal conductivity of the barrier material is set at its maximum value, and the emissivity of the conduit is set at the unner limit of the range given in (Ref. 9 page A4-5]. The purpose in doing this is to establish that the method is inherently ccnservative with reasonable choice of the input data. The results in Table 4.1 show that the calculated results are in good agreement with the industry data and bound them with reasonable margins. 4.2 Sensitivity Studies The ADF values determined in this calculation are based on the assumptions and approximations discussed in Section 2.0. Some of these assumptions concern the cable type and the cable fill. Namely:

1. The ADF factors for RBS are based on a model cable of #8 3/C copper conductor (assumption 2.3.4)

2. The ADF values for " Standard Untested" trays (defined in paragraph 1.2) are based on one inch cable fill depth (assumption 2.3.10)

3. The ADF values for " Standard Untested" conduits (defined in paragraph 1.2) are based on maximum cable fill (assumption 2.3.11)

The sensitivity runs discussed in this section determine the effect of cable size, the conductor material, I and the cable fill on the ADF. The input data used in the sensitivity studies and the results are summarized in Table 4.2. Detailed calculations are given in Tables 4.9 through 4.11. The results show that: I

G13.18.14.0-178 Rey. I CALCULATION WORK SHEET ATTACHMENTNO.: N/A ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAGE 27 OF 73

1. The ADF value is not sensitive to the conductor material. Aluminum conductors have essentially the same ADF factor as the copper conductors. Therefore the ADF factors determined for copper conductors are also applicable to aluminum conductors.

2. The ADF value decreases with increasing cable size. Therefore the ADF values determined for #8 cable size are conservatively applicable to larger cable sizes.

3. The ADF value is relatively insensitive to cable fill depth according to the results in TaHe 4.2.

According to the results reported in (Ref. 9, page A3 9), the ADF value increases with decreasing cable till depth. Therefore the ADF value determined for standard un'ected trays based on one inch cable fill depth are applicable to all standard untested trays at RBS.

4. The ADF value increases with increasing conduit fill. Therefore the ADF value determined for the standard untested conduits based on the maximum fill is applicable to all standard untested conduits at RBS.

43 Avolication to RBS T-L Enclosures The equations given in Section 3.0 are solved by iteration to determine the limiting rate of heat generation within each raceway such that the cable conductor temperature is at its specified value. The heat generation rate is then converted into an ampacity value using Equation 2. The ampacity derating factor (ADF)is defmed as A DF = """"' ~ '"""'" x100 (23) l,,,,,,, u where lu,,,,,,, refers to the ampacity of the cable without the fire enclosure and I,,,,,,,a refers to the ampacity of the cable with the enclosure. This approach (defining the ADF value rather than the actual ampacity) eliminates the need for specific cable information in each individual raceway and simplifies the subsequent application of the ADFs. This approach is also consistent with the NRC method us,:d in [Ref. 9, page A3 9', Calculations are performed using the steps as outlined below.

1. Calculate the overall heat transfer coefficient of the raceway (U,, or U,#,,in equation 4) from the c

raceway and the cable data. The overall heat transfer coefficient for cable trays (U,) is calculated directly from the corresponding expression in equation 4. For conduits, U,,4,,is back calculated from the baseline ampacity data by performing the following intermediate steps:

Gl3.18.14.0178 Rey, i 0 CALCULATION WORK SHEET ATTACHMENTNO.: N/A ~' ENGINEERING DEPARTMENT JBI No.: ENTERGY RIVER BEND STATION PAGE 28 OF 73 Calculate q, from equation 2 corresponding to the baseline ampacity and the number of cables in the conduit. Substitute q, into equation 4 with the appropriate temperature and the diameter terms to solve for U a,, c These intermediate steps require iteration over the surface temperature of the conduit since the heat transfer coefficient from the conduit to the ambient is a function of the surface temperature end the emissivity of the conduit surface. The source document (Ref. 3] where the baseline ampacity is obtained does not specify what emissivity vabe was used to determine the baseline ampacity. It has been assumed that the emissivity (c) upon which the baseline ampacities in (Ref. 3) are based is at the high end of the range (0.4 to 0.8) given in [Ref. 9, page A4 5], i.e., emissivity =0.8. This is conservative since choosing a high emissivity value for the conduit (for the purpose of determining U a,,) lowers U,,,s,,, and increases the ADF value. c

2. Estimate a reasonable enclosure wall temperature corresponding to the specified cable conductor temperature and the ambient temperature. Calculate the corresponding heat transfer rate to the ambient.

3. Calculate the corresponding raceway surface temperature and the heat generation rate within each raceway. bum up the total heat generation rate from all raceways.

4. Compare the heat transfer rate to the ambient determined in step 2 to the total heat generation rate determined in step 3. The two quantities must agree within a reasonable limit.

5. Adjust the enclosure temperature and repeat steps 2,3, and 4 until the solution converges.

6. Calculate the current corresponding to the heat generation rate using equation 2.

7. Calculate the ampacity derating factor from equation 23 above.

The calculations were done using EXCEL 5.0 spread sheet. Tables 5.6 through 5.13 contain the spread sheet data and the results. The calculation procedure in these spread sheets has been set up in accordance with the general heat transfer method described in Section 3.0. As mentioned earlier, the calculations require several iterations. Only the final values are shown in the spread sheets.

4. 4 Input Data The input data used in the calculations are summarized in Tables 4.3 and 4.4. Case specific data, where needed, is provided in section 5.0. It should be noted that the data given in Table 4.3 are specific to the raceways analyzed for RBS. These data differ from the data used for the verification and sensitivity studies given Tables 4.1 and 4.2. These differences are due to the reason that some of the essential

G13.18.14.0178, Rev. I CALCULATION WORK SIIEET ATTACHMENTNO.: N/A N ENGINEERING DEPARTMENT Jhl No.: ENTERGY RIVER BEND STATION PAGE 29 OF 73 parameters do not have a discrete value but vary over a range. The data used in Tables 4.1 and 4.2 are biased to yield a low ampacity derating factor to demonstrate the conservatism of the method. The data given in table 4.3 are biased to yield a high ampacity derating factor for application to RBS raceways. In particular, the data in Table 4.3 are biased in the following aspects:

1. Low thermal conductivity for the cable bed

2. Low thermal conductivity for the enclosure thermal conductivity

3. Maximum enclosure wall thickness

4. High conductor resistance

.I5 Emissivity ofAluminum Conduits According to the SNL review the measured emissivity of the TU/CPSES conduits varie from 0.4 to 0.8 [Ref 9, p: A4 5). Since the TU conduits are steel whereas the RBS conduits are alumin'um the measured emissivity data is not directly applicable to RBS. In this calculation a value of 0.2 has been used for the emissivity of aluminum conduits. This is considered to be a conservative value for the following reasons:

1. Industry standards [ References 2,3] do not make any distinction between aluminum and steel conduits. This implies that the baseline ampacities listed in IPCEA are bounding for steel and aluminum conduits.

2. The Neher McGrath technical paper [ Reference 15], which is the basis for the IPCEA publication P-46-426. does not discuss aluminum versus steel conduits. Regarding the emissivity it is stated on page 758 that "The value ofemissivity may be taken 0.95for pipes. conduits or ducts, andpainted or braided surfaces, andfrom 0.2 to 0.5for lead and aluminum sheaths. depending upon whether the surface is bright or corroded." Reasonably assuming that surface conditions of aluminum conduits is comparable to surface condition of sheaths, the use of 0.2 emissivity for aluminum conduits is conservative.

3. Emissivity of aluminum surfaces vary from 0.03 to 0.4 depending on the surface conditions. The following is a compilation of data from various sources:

Heavily oxidized aluminum 0.20-0.31 [Ref.16, p: 285] Aluminum (sand blasted) 0.40 [Ref.10, p: 3-22] Aluminum, oxidized 0.20 [Ref. 6, p: 344] The above data suggest that a conservative value of the emissivity for oxidized aluminum surfaces is 0.20. The emissivity for rough oxidized aluminum surfaces can be as high as 0.40. The surface emissivity of conduits is not a determining factors for conduits that are individually wrapped with pre-formed half rounds. This is due to the fact that the conductivity across the narrow gap between

G 13.18.14.0178, Rev, i CALCULATION WORK SIIEET ATTACHMENTNO.: N/A ENGINEERING DEPARTMENT JBINO. ENTERGY RIVER BEND STATION PAGE 30 OF 73 the conduit wall and the barrier is nearly an order of magnitude larger than the radiative heat transfer coenicient. For conduits that are enclosed in common barriers, however, the radiative heat transfer ccefficient is the dominant mode and the surface emissivity of the conduit is an important factor.

Gl3.18.14.0178, Rev. I CALCUMTiON WORK SHEET ATTACHMENTNO.: N/A ENGINEERING DEPARTMENT JBI No.: ENTERGY RIVER BEND STATION PAGE 31 OF 73 Table 4.1 Verification Data and Results VERIFICATION CASE ..T..r.a/.'......................................................C..o.n..d.u i.t........ Unprotected

Protected Protected Protected

.R. a.c. e..w. a.y S.i.z.e..(.i.n.).......... . 4..x. 2 4............. :.4..x. 2 4.............. i. 4.x. 2 4............:.2....... .....c.. 9 p.:.A. 4. 5. l.............N../ A.............. :. N..'.A.................:.N../A........... ,[. .C..a. b..le.. D..a. t a................... Cable Size a8 3 'C Co

88 3/C Co

a8 3/C Copper : #8 3/C Copper

".gg.,. ". "..p"pe r . Eid5....."."..I..gg.j ""..".pper ' " "Ca'b l'el. i3r'nltir"('irY.)". "...". ~ ........ i'Eid5 "" " ~ " Eid5"""""""" . Eid5.. .g. .g... ........................................6.O..'7............. .. I..i.n.............. :.1.i.n............ .....D. eP.t.h..(.in..).o. r.,fi.ll..( *.b.).

1 2.%...................

k,g (Bruh.ft. F) 0.09 j 0.09 j 0.09 ..gg............. j 0.09 i .... j.9. p : A 3.- 8. l............. l l l . 6'i" " " " ' " " ' ' ' ' 'Ei " " " ' " " ' ' "' 'Ki" " " ' ' " " " " " ' .....[.9.,.p: A.3..8. l................................. l Reference Ampacity 1,,.= 5 9

Iw.w=34

lu,w=22

Iw.w=52 (Amp)

[3. p:309] ' [8, Table 3 6] l [8. Table 3 6] l [3, p:313 and Table .............................................................1..A.4.3.2.}........... .E..n.c. lo. s..u.r.e. D..a.t.a............ ..N../A...............:.....................:...................:..... .......i.d.t.h..o.r..D..ia..(.i.n.)......... ..N../A............... :..W...id..th..=. 2. 5........ :.W.. id. th..=. 2. 5...... W ..N.,/A.............. :. 6. 2 5................ :. 6.2 5......... H .... ;..e.ij.h.t.(i.n)g..;.......... g.g gg ..gj ..g .................................................................g .................F) N/A

0.122

0.122

0.122 k (Bruh.ft.

.....[9 p: A. 3 8. )............. .N../A............................................................................... ,[. .....e...',.. P.:. A. 3. 8..)..........

0.9................:.

I.n. d.u. s. t 9...D.a..t.a............... ....................:....................0.9.................:.0..,9................... ......l e,.m..w..(.A..m..p) . 3 4................. : ......A..D..F..(.* ) ..N../ A............... :. .3.15...............,305......................................

6.6...................

. 8.. T.a.b..le. 3. 6..].... :..[.9.. P.:.15.).................. P.:. A. 3. 9. )......: [9, p: A 4 6) [

[n

.C..a. l.c. u..la..t.e.d..R..e.s.u. l.t.s.......... ......D.. eta.i.le.d..C..a.l.c u. l.a.t.i.o.n.s.... ..T..a.b.l.e. 4 5......... :..T..a.b.l.e. 4.6.......... :.T..a.b.l.e. 4 7......... T..a ....A..m..p) .32.7...............:.....................:. ( ......I.,. W.... .N../A...............:.3.19.......................................................... .......A..D..F..( %..)................ . 3 0. 8...............:. 8. 3.................... Deviation +1.3 Amp

+0.

% point

+0.3% point

+1.7% point Notes:

1. Cable diameter and conductor resistance are taken trom [Ref. 3, Vo!ume I page 309 for copper conductor, Volume 11 page 309 for aluminum conductor). Conductor resistances shown are at 90*C calculated accordmg to [Ref. 2, Chapter 9 Table 8]. For baseline and nominal ampacities see the foot note to Table 4.2. 2. Thermo. Lag thickness is based on the minimum value for one. hour (existing) enclosures given in Table 4.2. 3. Deviation = (Calculated ADF. Industry ADF) for protected raceways. 4. Deviation =(Nomina! Ampacity. Calculated Ampacity) for unprotected raceways 5. Enclosure size is approximately the raceway size plus the thickness of the T.L panel. Conduit dimensions are based on standard schedule pipe dimensions taken from [Ref.19).

~ G 13.18.14.0 178lit ev. I CALCULATION WORK SIIEET ATTACHMENTNO.: N/A ENGINEERING DEPARTMENT JBI NO.t ENTERGY RIVER BEND STATION PAGE 32 OF 73 Table 4.2 Sensitivity Studies SENSITIVITY STUDIES DATA AND RESULTS .............Tr.ay ( F..i ll and. C.. ond..uc..to r..S..iz.e/T..yp.e ) Conduit Fill Base Case Cable Fill larger . Aluminum Base Lower .D..e.pt.h..........C..o.n..d.u. ct.o. r..... ..C..o.n. d.u.c. t.o. r..... ..C..a.s.e........ ..F..il.l....... Cable Data 24" Tray j 24" Tray j 24" Tray j 24" Tray j 2" Con,fuit j 2" ....................................................:.................:.............:.C..o.n.d..u.i.t... ...C..a.b. le..S. i.z.e.............. ..a 8...............:.8 8.............,:.8 1.............. :.# 1.............. .C..o.pP.e.r.........:.C..o.p P.e.r.........:.C..o.pP..r......

a

...C..o.n..d.u.c.t.o. r.M..a. t.e.r.i.a.l.... ... F..ill..D. e. P.th. ( in..)......... ..I..i.n............:.2..i.n............:.1..i.n.............

12. %........

3.1.%..........:

R. (Ohm /1000 ft) 0.817

0.817

0.162

0.267

0.817

0.817

~f..a.l.,.iE. 6..iais..e.'t'e.r' ~ " " "d. i.id. I..is........ I.'. I.i.d. 5. 'ih. ". ~.. ". I.'i. ?.i.d. '.1.E... ". "..".I, 'i. ?.3.d..'.".in "~" 9 9 Baselir e Ampacity 34 Amp

22 Amp

129 Amp.

101 Amp

36.4 Amp :

3...... l%(Bruh-fu F) 0.09

0.09

0.09

0.09

0 09

0.09

[ ... 9, p:.... A. 3 8.)............ ...c... 9.. p: A.3. 8.)........ 0.8.............:.0.8.............:.04..............:............................................ 0.8.............:...............:............ w ..E.n..c.lo..s.u.r.e..D..a.t.a.......... ..?.5......................................................................................... W ......id..th.. o..r.D..i.a..(.in..)...... 2 5............. 2 5............... : 2 5 . 6. 2 5.............:.6. 2 5.............:.6. 2 5. ... H..e. i.5..t.(.i.n.)............. h . 0. 5.............:.0. 5.............:.0. 5..... ...t (i.n. ). m...in..im.,F)

u..m........

. 0. 5............. :. 0. 5...........:. 0. 5....

k. ( Bru h.tT-0.122

0.122

0.122

0.122

0.122

0.122

.. 9., P.:. A. 3. 8.)..............................:. ...c.t.[ 9.,.P.:.A. 3 8.........0.9.............,:.0.9..............:.0.9..........................................................

0. 9............. :. 0. 9...........:.0. 9...,

. C..a..lc..u.l.a.t.e.d..R..e.s.u..lt.s........................:.................:................:,................. ..D..e.t.a.i.l.e.d..C.a..lc.u.l.a.tio.n.s....T..a.b.l.e. 4.6.......:.T..a.b.l.e. 4. 7.......:.T..a.b.l.e. 4 9... ... A..D..F..(.%.. )................ 3.1 9.............:.3 0. 8.............:.2 5. 5..

2 5. 9............ :. 10. 2..........:. 8. 3...

Deviation N/A

+1.1

+6.4

+6.0

N/A

+1.9

. % point . % point % points

% point Notes:

1. Baseline ampacity for cables in trays is taken from [Ref. 8. Table 3.6 for copper, Table 3.22 for aluminum). Baseline ampacity for cables in conduits are taken from [Ref. 2, Volume I page 313 for copper, Volume !! page 313 for 31uminum]

2. Deviation = ADF(base case).ADF s

i

G13,18.14.0178 Rey, I 2 CALCULATION WORK SHEET ATTACHMENTNO,t N/A 2-ENGINEERING DEPARTMENT JBI NO,t ENTERGY RIVER BEND STATION PAGE 33 OF 73 Table 4,3 EssentialInput Data Temperature Ambient temperature 40*C (104'F) Conductor temperature 90*C (194'F) Cable Data Cable Size a8 3.'C Cu, I KV, rubber insulated (see assumption 2.3.4) Conductor Resistance (ac) 0.875 Ohm /1000 A [Ref. I Table A.4 2, or Ref,18] Cable Diameter 0.708 in [Ref. 3, Volume I p: 308] Nominal Ampacity in air 59 Amp [Ref. 3, Volume I p: 308] ~ Nominal Ampacity in conduit 52 Amp [Ref. 3, Volume i p: 313] Emissivity of The Cable 0.8 [Ref. 8, Attachment B] Cable Tray Data Material Aluminum [Ref.14] Baseline Amp.(Random Fill) Obtained from [Ref. 8, Table 3 6] Factor for Maintained Spacing Obtained from [Ref. 3, Table Vil] Conduit Data Type Rigid Conduit. Standard Schedule (Dimensions obtained from [Ref. i9] Material Aluminum [Ref.14]. Emissivity =0.2 Baseline Ampacity Obtained from [Ref,3 Volume i p: 313] Factor for Multiple Conductor Effect Obtained from [Ref. 8 Article 31015, paragraph 8.a] Fire Barrier Data Type T L 330-1 Thermal Conductivity 0.09 Bru<h.f9F [Ref. Iil Thickness See Table 4.4 Emissivity 0.9 [Ref. 9, p: A3 8]

Gl3.18.14.0178, Rev. I CALCULATION WORK SIIEET ATTACHMENTNO.: N/A ENGINEERING DEPARTMENT IBI No.: ENTERGY RIVER BEND STATION PAGE 34 OF 73 Table 4.4 Enclosure Thickness One-flour (Upgraded)[Rej.14] Enclosure Conduits Conduits Multiple Less than 3" Nominal 3"or larger Racew a)s .D..i.a .N..o.m..i.n. a. l..D..i.a..i.n..C. o..m..m..o.n..E..n.c.l.o.s.u..re ..aas,g,g,r,,,,,,,,,,,,,,,,,,,,.,t y,g7,ij,4 ,0 y,,,,,,,,,,,. !/2 !;,i,/4 0,-) ,,g 8 3,q 9,,,,,,,,,,,, ..O..v.e. r. l.a.y . 3./8. ". (. +.1./ 8.".. 1./ 8.". ).......... .N..o.n. e.............,....,.,, .N..o.n. e.................... Stress Skin (Trowel Grade ) None I/4" nominal 1/4"(see note I below) To't5fiiar'ri' 'thic'6Ie's's'" ' " " III.IEdi" ' " "" ' " ' " " 'i#5di'"""""""" 'iEdi""""'"""" e 7/8" nominal 3/4" nominal 7/8 nominal 3/4" minimum 3/4" minimum 3/4 minimum One-flour (Existing)(Ref. 4) Total thickness: 0.5"+(+1/8". 0") Three-flour (Existing) (Ret. 4} Total thickness: 1.0"+(+1/4". 0") Notes (1) For multiple raceway enclosures the stress skin is applied over the entire surface ofthe enclosure. For single tray raceways the stress skin is applied along thejoint interfaces approximately.t " (3 " per [Ref 20] wide on eachface along thejoint.

G 13,18.14.0-178, Rev,1 CALCULATION WORK SHEET ATTACHMENTNO,t N/A ENGINEERING DEPARTMENT JBI NO,t ENTERGY RIVER BEND STATION PAGE 35 OF 73 ~ Table 4.5 -24 Inch Tray / Unprotected FIRE ENCLOSURE DA TA WALL DA TA TE.\\lPERA TURE DA TA w., width, (in) 1.00E46 A., area, (R') N/A T., cond. (*F) 194.0 h., height, (in) 1.00h+06 to, thickn., (in) N/A T., amb. ('F) 104.0 A, area, A; 3.33 E+05 llE4 T TRANSFER. c., emissivity 1.00 GA P DA TA o, Bruh A' 'R' l.7140E-09 t., thickness (in) 5.00E 06 k,,(Bruh A 'F) 0.016 C. (W h/ Btu) 0.2931

k. (Bruh A *F) 1.00E+03 t,, (in)

N/A a 0.20 F shape factor 1.00 h,,(Bruh A 'F) N/A n 0.25 3 TRA DCONDUliDA TA Type TRAY n,, no. of raceways i Enclosure size has been chosen intentionally very w,, width (d. dia), in 24.0 large to simulate an unprotected racewsy. h,, height (t. thickn1, (in) 3.00 d,, depth, in (fill. 84) 1.00 Entries in hrahc/ apply to conduits only c, cable (condust) emissivity 0.80 F,,, shape factor 1.00 Boxed entries designate the parameters cable size

1. 8 3/C Cu over which iterations are carried out d., cable dia,(in) 0.708 n,.,,, no of conductors 3

Entries in [ ] show the equation number in Section 3.0 R resistance, Ohm /1000A 0.817 kw,(Btwh A 'F) 0.090 1,,,,,,, nominal amp., ( Amp) 59.0 CALCULA TED PARA.%fETERS Raceway twi,,,,, baseline amp., ( Amp) 32.7 n , number of cables 48 [Eq.3] 3 A,, heat transfer area, (4 ) 4.00 [Eq.6] q,,(Btwh raceway ) 429. [Eq.2]

q. (Btuh category) 429.

[q,'n,] U,(Bruh ft *F) 4.32 [4k /d in Eq. 4] T,, Surface Temp., (*F) 169.2 [Eq.4] T., enclosure air temp., ('F) l104.0 l Enclosure 3 h,,,, (Bru/h A 'F) 0.48 [Eq.9) 2 h,,,, (Brut A 'F) 0.00 [Eq.9) h,',,, (Brut A,.F) 0.48 [Eq.1I] 2 he,. (Bru/h A' *F) I,17 [Eq.8] h,,, (Btwh A* *F) 1.65 [h,.,.+ h#,] Barrier & Ambient 2 U., (Bru/h-A,.F) 2.40E+09 [Eq.12] Tw Inside Temp.,('F) l104.0 l Tw. Outside Temp., (*F) 104.0 [Eq.12] 2 h,,(Btwh ft,,F) 0.00 [Eq.9] 2 he, (Bru,h-A,.F) 1.23 [Eq.8] h. (Btwh A' 'F) 1.23 [h. +hu] T., (*F) 104.0 [Eq.I3] A.tfPACITY 32.7 Amp I

i Gl3,18,14.0178. Rev. I CALCULATION WORK SHEET ATTACHMENTNO,: N/A ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAGE 36 OF 73 Table 4.6 -24_ Inch Tray /1-Hour Rated (1 Inch Fill) FIRE E5:LOSURE DA TA WALL DA TA TEMPERA TURE DA TA w., w idth, (in) 25.0 A., area, (h ) N/A T., cond. ('F) 194.0 2 h., height, (in) 6.25 t., thickn., (in) N/A T., amb. ('F) 104.0 A., area, it' 5.2 HEA T TR.4NSFER. c., emissivity 0.90 CA P DA TA 3, Btuh ft,,R*

.7140E 09 2

t., thickness (in) 0.500 k,,(Btwh ft *F) 0.016 C, (W h/ Btu) 0.293I k (Btwh ft *F) 0.122 t,, (in) N/A a 0.20 F, shape factor 1.00 h,,(Bruh h* 'F) N/A n 0.25 TRA1XONDUlTDA TA Type TRAY n,, no. of raceways I w,, width fd. dia), in 24.0 h,, height It. thickn.1,(in) 3.0 d,, depth, in (fill. %) 1.0 Entries in Otolic) apply to conduits only c, cable (condust; emissivity 0.80 F,,, shape factor 1.00 Boxed entnes designate the parameters "~~ cable size

1. 8 3/C Cu over which iterations are carried out d,,,, cable dia, (in) 0.708 n,,,,, no. of cond. actors 3

Entries in [ ] show the equation number in Section 3.0 R, resistance, Ohm /1000ft 0.817 kw,(Btwh h *F) 0.090 1,i,,,, baseline amp., (Amp) 34 0 CALCUL4 TED PARAMETERS Raceway 1,,,,,,,u, ( Amp) 23,I n..., number of cables 48 (3) A,, heat transfer area, (ft') 4.00 (6) q,,(Bruh raceway ) 214. [2] q,(Bruh-category) 214. (q,* n,) 2 U, (U%,,),(Btwh ft 'F) 4.32 (Eq.4] T,, Surface Temp._ (*F) 181.G (Eq.4] T., enclosure air temp., ('F) l l61.1 l Enclosure 2

h.,,, (Bruh h *F) 0.36 (Eq. 9]

2 h,,,, (Brah-ft *F) 0.34 (Eq.9] h[,,,(Btwh ft' *F) 0.20 (Eq. IIJ h,,(Brn'h-ft 'F) 1.22 (Eq.8] h,,, (Btwh ft' *F) 1.42 [h..,,+ h .,,) Barrier & Ambient U.,(Bruh h' *F) 2.93 (Eq.12) T,, inside Temp.,(*F) [144.4 l T%, Outside Temp., (*F) 130.3 (Eq.12] 2 h.(Bruh ft 'F) 0.38 (Eq.9] 2 hu.,(Btwh ft *F) 1.19 [Eq.8] h,(Btwh fia,.F) 1.56 [h.,+h ] S T.,('F) 104.0 (Eq.I3] ADF 31,9 %

G l3.18.14.0-178. Rey, I CALCULATION WORK SHEET ATTACHMENTNO,: N/A e-ENGINEERING DEPARTMENT JBI NO,t ENTERGY RIVER BEND STATION PAGE 37 OF 73 Table 4.7 -24_ Inch Tray /1-Hour Rated (2 Inch Fill) FIRE ENCLOSURE DA TA WALL D.4 TA TEMPERA TURE DA TA w,, width, (in) 25.0 A,,, area, (ft') N/A T., cond. ('F) 194.0 h,, height, (in) 6.25 t, thickn., (in) N/A T., amb. (*F) 104.0 A, area,ft* 5.2 NEA T TRANSFER. c., emissivity 0.90 GAP DA TA o, Bruh ft' 'R' l.7140E 09 t., thickness (in) 0.500 k,,(Bru.h ft.'F) 0.016 C, (W h/Bru) 0.2931 k, (Bruh fi 'F) 0.122 t,, (in) N/A a 0.20 Fw, shape factu 1.00 h,,(Bruh ft *F) N/A n 0.25 3 TRA Y/CONDUlTD.4 TA Type TRAY n,, no. of raceways I w,, width (d. dia), in 24.0 h,, height (t. thickn.), (in) 3.0 d,, depth, in (fill. %) 2.0 Entries in otalic) apply to conduits only c, cable (condust) emissivity 0.80 F,,, shape factor 1.00 Boxed entries designate the parameters cable size 88 3/C Cu over which iterations are carried out d., cable dia,(in) 0.708 n,,,,,, no. of conductors 3 Entries in [ ] show the equation number in Section 3.0 R resistance, Ohm /1000ft 0.817 kw,(Brut ft *F) 0.090 lu,,w, baseline amp., (Amp) 22.0 CALCULA TED PARAMETERS Raceway 1,,,,,,,w, ( Amp) 15.2 n#, number of cables 96 [?] 2 A,, heat transfer area, (ft ) 4.00 [6] q,,(Brut raceway ) 185. [2] q,(Bruh-category) I85. [q,* n,] U, (U,.,,), (Btut ft' *F) 2.16 [Eq.4] + T,, Surface Temp. ('F) 172.5 [Eq.4] T,, enclosure air temp., (*F) l154.2 l Enclosure 2 h,,,,(Btut ft *F) 0.35 [Eq. 9] h,',,, (Btu /h-ft* *F) 0.33 [Eq. 9] 2 h,,., (Btwh ft *F) 0.19 [Eq.II) hh,(Btw'h ft' *F) 1,18 [Eq.8] h,,, (Btwh ft' *F) 1.37 [ h,,,,+ h,,9,] Barrier & Ambient U,,(Btwh ft' *F) 2.93 [Eq.12] T,,, inside Temp.,(*F) l139.3 l Tw, Outside Temp.,(*F) 127.1 [Eq.12] 2 h.,(Btwh ft,.F) 0.36 [Eq.9] 2 h,,,y,,, (Bru/h-ft,.F) 1.18 [Eq.8] hu, (Bru/h-ft' 'F) 1.54 [h.w+h ] T.,(*F) 104.0 [Eq.I3] ADF 30.8 %

G13,18,14.0-178 Rev. I CALCULATION WORK SHEET AlTACHMENTNO,t N/A ENGINEERING DEPARTMENT JBI NO,: ENTERGY RIVER BEND STATION PAGE 38 OF 73 Table 4.8 -2 Inch Conduit 12% Fill /1-Hour rated FIRE ENCLOSURE DA TA WALL DA TA TEMPERA TURE DA TA d., outside diameter,(in) 3.625 A., area, (ft ) N/A T., cond. ('F) 194.0 h., height, (in) N/A to, thickn., (in) N/A T, amb. (T) 104.0 A, area, h' O.9 HEA T TRANSFER c., emissivity 0.90 GA P DA TA o, Bruh A' 'R' l.7140E 09 t., thickness (in) 0.500 k,,(Bruh.ft T) 0.016 C, (W-h/Bru) 0.2931

k. (Bruh ft T) 0.122 t,, (in) 1/8 a

0.20 F shape factor 1.00 h,, (Bruh-ft' 'F) 1.54 n 0.25 TRA YKONDUlT DA TA Type CONDUIT n,, no. of raceways I w,, width (d. dia), in 2.375 h,, height rt. thicAn.),(in) 0.154 d,, depth, in (fill. m 12.0 Entnes in (italic) apply to conduits only c, cable / conduit / emissivity 0.80 F,,, shape factor 1.00 Boxed entnes designate the parameters cable size 88 3/C Cu over which iterations are carried out d.., cable dia, (in) 0.708 n,, no. of cond' actors 3 Entries in [ ] show the equation number in Section 3.0 R resistance, Ohm /1000ft 0.817 k,(Btuh ft *F) 0.090 1,i,,,,, baseline amp.,(Amp) 52.0 CALCULA TED PARAMETERS Raceum I,n,,,n,4, (Amp) 47.7 n,,w,, number of cables 1 [3] 2 A,, heat transfer area. (ft ) 0.62 (6] q,,(Bruh raceway ) 19 46 [2] q,(Bruh category) 19.46 [q %] U,(U, ,), (Btuh ft' *F) 0.55 [ Eq. 4) T,, Surface Temp.. (*f) 137.1 [Eq.4] T, enclosure air temp., ('F) l 130.7 l Enclosure 2 h,,, (Btuh ft,.F) 3.07 [Eq.9,1IJ y 2 h,... (Bruh ft *F) 3.07 [Eq.9,II] h,[,,,(Bruh ft' *F) 1.54 [Eq.II) he,m,(Btuh ft* *F) 1.04 [Eq.8] h,. (Btwh ft' *F) 2.58 [h.,.+he,.] Barrier & Ambient 2 U.,(Bru/h ft *F) 2.50 [Eq.12] T., inside Temp.,(*F) LI243 l T. Outside Temp.,(*F) I10.4 [Eq.12] t h. (Brut ft* *F) 0.5 I (Eq.9] he,(Btwh ft' *F) 1.14 [Eq.8] 2 h.,,(Btwh ft,.F) 1.65 [h,,+h,,4] T., (*F) 1M.0 [Eq.13] ADF 8.3 % ) m

Gl3,18.14.0178 Rey, I CALCULATION WORK SHEET ATTACHMENTNO,t N/A ENGINEERING DEPARTMENT JBI NO.t ENTERGY RIVER BEND ST ATION PAGE 39 OF 73 Table 4.9 -24 Inch Tray /1-Hour Rated, I inch Fill (Large Cond.) FIRE ENCLOSURE DA TA WALL DA TA TEMPERA TURE DA TA w,, w idth, (in) 25 0 A., area. (ft ) 'N/A T, cond. (*F) 194.0 2 h, height, (in) 6.25 to, thickn., (in) N/A T., amb. ('F) 104.0 A, area, ft' 5.2 HEA T TRANSFER, c., emissivity 0.90 GAP DA TA o, Bruh ft* 'R' l 7140E 09 t., thickness (in) 0.500 k,,(Bru'h fi 'F) 0.016 C, (W h/Bru) 0.2931 L. (Bru h-ft 'F) 0.122 t,, (in) N/A a 0.20 F,, shape factor 1.00 h,,(Bruh ft* *F) N/A n 0.25 TRA Y/CONDUliDA TA Type TRAY n,, no. of racewsys I w,, width (d. dia), in 24.0 h,, height (t. thicAn >, (in) 3.0 d,, depth, in (fill. %) 1.0 Entries in (static) apply to conduits only c, cable (conduit) emissivity 0.80 F,,, shape factor 1.00 Boxed entnes designate the parameters cable size

1. 13/C Cu over w hich iterations are carried out d,ai,, cable dia,(in) 1.309 n,,,, no. of conductors 3

Entries in [ ] show the equation number in Section 3.0 R, resistance, Ohm /1000ft 0.162 k%,(Brut ft 'F) 0.090 l,,,,,,, baseline amp.,(Amp) 129.0 CALCULA TED PARAMETERS Racewv I,,,,,,w, ( Amp) 96.1 n,.., number of cables 14 [3] A,, heat transfer area, (ft') 4.00 [6] q,,(Brut raceway ) 214. [2] q,(Bruh category) 214 [q,* n,) U, (U%,,), (Bruh it' *F) 4.32 [Eq.4] T,, Surface Temp. (*F) 181.6 [Eq.4) T., enclosure air temp., (*F) l161.1 l Enclosure h,,,, (Bruh ft* *F) 0.36 [Eq.9] h[,,,(Bruh fl* *F) 0.34 [Eq. 9] h,',,, (Btwh ft' *F) 0.20 [Eq. II] ha,,,(Btu,h ft *F) 1.22 [Eq.8) 3 3 h,,,(Brut f1 *F) 1.42 [h..,c h .,.] Barrier & Ambient 2 U.,(Bru,h ft,.F) 2.93 [Eq.12] T,inside Temp.,('F) l144.4 l T,,,, Outside Temp.,(*F) 130.4 [Eq.12] h, (Bru/h ft' *F) 0.38 [Eq.9] h,,,9,,, (Brut-ft' 'F) I,19 [Eq.8] 3 h.(Bruh ft *F) 1.56 [h...,+ h%) T.,('F) 104.1 [Eq.13] ADF 25.5 %

G l3.18,14.0-178. Rey, i CALCULATION WORK SHEET ATTACHMENTNO.: N/A ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAGE 40 OF 73 Table 4.10 -2.4 Inch Tray /1-Hour Rated,1 Inch Fill (Al Conductor) FIRE ENCLOSURE DA TA H'ALL DA TA TEMPERA TURE D.4 TA w,, width (in) 25.0 A., area, (ft:) N/A T., cond. (*F) 194.0 h,, height, (in) 6.25 t., thickn., (in) N/A T., amb. ('F) 104.0 A,, area. ft' 5.2 HEA T TRANSFER, c., emissivity 0.90 G4P DA TA o, Brut ft' 'R' l.7140E 09 t., thickness (in) 0.500 t,,(Bruh ft *F) 0.016 C, (W h/Bru) 0.2931 k.,(Brut fi *F) 0.122 t,, (in) N/A a 0.20 i F.,, shape factor 1.00 h,,(Bruh fl 'F) N/A n 0.25 TRA Y/CONDUlTDA TA Type TRAY n,, no. of raceways I w,, width (d. dia), in 24.0 h,, height (t. thicAn /, (in) 3.0 d,, depth, in (/Ill. N 1.0 Entries in (italic) apply to conduits only c, cable (condua/ emissivity 0.80 F,,, shape factor 1.00 Boxed entries designate the parameters cable size si 3/C Al over w hich iterations are carried out d , cable dia,(in) 1.309 n,,,, no. of conductors 3 Entries in [ ] show the equation number in Section 3.0 R, resistance, Ohm /1000ft 0.267 kw,(Bruh ft *F) 0.090 la.,i,,,, baseline amp.,(Amp) 101.0 CALCUL4 TED PARAMETERS Raceway i (Amp) 74.8 n,i,4, n,..,, number of cables 14 [3] A,, heat transfer area (ft') 4.00 [6] q,,(Bauh raceway ) 214. [2] q,(Brah-category) 214. [q,* n,) 3 U,(Um,),(Bruh-ft *F) 4.32 [Eq.4] T,, Surface Temp. (*F) 181.6 [Eq.4] T., enclosure air temp., (*F) [161.1 l Enclosure i h,,,, (Btwh fl *F) 0.36 [Eq.9] 2 h,,,, (Bru/h.ft,.F) 0.34 [Eq. 9] h,,,, (Btwh-ft' *F) 0.20 [Eq.I1] h%,,, (Bru/h ft' *F) 1.22 [Eq.8] h,,,(Btwh ft' *F) 1.42 [h.., +h%,,] Barrier & Ambient 2 U,,(Btwh ft *F) 2.93 [Eq.12] T,, inside Temp.,(*F) ll44.4 l T%, Outside Temp.,(*F) 130.3 [Eq.12] h,.,(Bru/h ft' *F) 0.38 [Eq.9] 3 he.,,(Bru/h-ft *F) 1.19 [Eq.8] h.,,(Brut ft' 'F) 1.56 [h 6,+hm] T.,('F) 104.0 [Eq.13] ADF 25.9 %

G 13.18.14.0178, Rev,1 CALCULATION WORK SiiEET AFTACllMENTNO.t N/A ENGINEERING DEPARTMENT JBI NO.t ENTERGY RIVER BEND STATION PAGE 41 OF 73 Table 4.11 -2 Inch Conduit 31% Fill /1-Hour rated FIRE ENCLOSURE DA TA WALL DA TA TEMPERA TURE DA TA d,, outside diameter,(in) 3.625 A., area, ( A') N/A T., cond. ('F) 194.0 h., height, (in) N/A t., thickn., (in) N/A T., amb. ('F) 104.0 A,, area,n' O.9 HE4 T TRANSFER c., emissivity 0.90 GA P DA TA o, Brut ft,.R' l.7140E-09 2 t., thickness (in) 0.500 k,,(Bruh A *F) 0.016 C, (W h/Bru) 0.2931 L. (Brut A *F) 0.122 t,, (in) 1/8 a 0.20 F, shape factor 1.00 h,,(Btuh A' 'F) 1.54 n 0 25 TRA YKONDUITDA TA Type coNDUli n,, no. of raceways I w,, width (d dia/, in 2.375 h,, height (f. thsckn.), (in) 0.154 d,, depth, in (fill. %/ 31.0 Entries in (italic) apply to conduits only c, cab:e (conduit) emissivity 0.80 F,, shape factor 1.00 Boxed entnes designate the parameters cable size

1. 8 3/C Cu over wh:ch iterations are carried out d., cabl.; dia, (in) 0.708 n,,,,, no. of conductors 3

Entries in ( ) show the equation number in Section 3.0 R, resistance, Ohm /1000A 0.817 k w,(Brut ft 'F) 0.090 i 1,i,,,,, baseline amp., (Amp) 36.4 CALCULA TED PARAMETERS Raceway Imw, ( Amp) 32.7 nm, number of cables 3 [3] A,, heat transfer area, (ft') 0.62 [6] q,,(Bruh raceway ) 23.58 [2] q,(Bruh category) 23.58 [q,'n,] U, (U%,,), (Bruh A* *F) 0,75 [ Eq. 4) T,, Surface Temp. (*F) 143.4 [Eq.4] T,, enclosure air temp., ('F) l l 36.0 l Enclosure h,,,, (Bruh A' *F) 3.07 [Eq.9,11] h,',., (Bruh A* *F) 3.07 [Eq.9,ll] h,[,., (Brut R,.F) 1.54 [Eq.11] 2 he, (Bruh A' 'F) 1.07 [Eq.8] 2 h,,,(Btwh R 'F) 2.60 [h,.,,+h.] Barrter& Ambient 2 U.,(Bruh R *F) 2.50 [Eq.12] T Inside Temp.,('F) [128.7 l Tw, Outside Temp., (*F) i18.8 [Eq.12] 2 h,. (Brut 8,.F) 0.53 [Eq.9) he,(Brah ft* 'F) 1.15 [Eq.8) 2 h,(Brulh R,.F) 1.68 [h,,+hJ T.,(*F) 104.0 [Eq.13] ADF 10.2 %

G l3.18.14.0 178, Rey, i CALCULATION WORK SHEET ATTACHMENTNO.: N/A ENGINEERING DEPARTMENT Jfat NO.: ENTERGY RIVER BEND STATION PAGE 42 OF 73 5.0 AMPACITY DERATING FACTORS SI BLs.ylu Ampacity derating factors have been determined for the con 6gurations listed below: 1. Standard Tested Con 6gurations (Ampacities Based on Industry Test Data) 1.1 Single tray (1 hour) 1.2 Two stacked trays in a common enclosure (1 hour) 2. Standard Untested Con 6gurations (Ampacities Based on Analysis) 1.1 Single conduit (1 hour) 1.2 Single conduit (3 hour) 1.3 Single trays (3 hour) 3. Unique Con 6gurations (Ampacities Based on Analysis) 3.1. Con 6guration Ul: Multiple trays and conduits in a 1 hour enclosure (not upgraded) 3.2. Con 6guration U2: Multiple trays and conduits in a 1-hour enclosure (not upgraded) 3.3. Con 6guration U3a hl: Two cable trays in a 1-hour enclosure (upgraded) 3.4. Configuration U3a-h3: Two cable trays in a 3-hour enclosure (not upgraded) 3.5. Con 6guration U3b-hl: Two cable trays'in a 1-hour enclosure (upgraded) 3.6. Con 6guration U3b-h3: Two cable trays in a 3-hour enclosure (not upgraded) Arrangement of the raceways in these unique con 6gurations are shown Figures 5.1 through 5.4. The results are summarized in Tables 5.1 through 5.3. Detailed calculations are given in Tables 5.5 through 5.16.

G13.18.14.0178, Rey. I CALCULATION WORK SHEET ATTACHMENTNO.: N/A 2 ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAG E J3 OF 73 S.2 Standard Tested Confleurations The ampacity derating factors for standard one hour cable tray installations at RBS (referred here as " Standard Tested Configurations") are based on the results of the tests performed by Texas Utilities (TU). The test results produced by TU were later adjusted by the NRC based on a study performed by Sandia National Laboratories (SNL). The ADF values applied to the standard one hour tray configurations at RBS are based on the NRC adjusted ADF values. The ADF values are listed in Table 5.1. Applicability of the TU tested configurations to RBS was established by a review of the configurations tested by TU and by comparing them to the tray conAgurations at RBS. Table 5.4 provides a summary of this comparison. Comparisons were made regar lg the tray size, material, fire barrier thickness, e joints, and, upgrade methods. The as designed configurations at RBS are found to be the same as the tested configurations except:

1. Cable tray sizes at RBS range from 18" to 30" whereas the tested configuration is 24"

2. The raceway material at RBS is aluminum whereas the tested raceway is steel.

Neither of these differences is important as far as the ADF values are concemed as discussed below. 521 Trav si:e The size of the single tray tested by TU represents the median tray size at RBS Maximum variation from the tested tray size is 6 inches. Additionally, ADF is independent of the tray size for single trays. The controlling parameter for the cable ampacity in a single tray is the heat flux from the cable bed. For a given cable depth fili and cable size this parameter is nearly independent of the width of the tray (heat generation rate and the suiface area both vary linearly with the width of the tray.) Since the surface area of the fire barrier also varies linearly with the with of the tray the ampacity derating factor is independent of the width of the tray. This obser"ation is consistent with the simulation model used by SNL to evaluate the TU test results. In reference to the results of the SNL study for single trays,it is stated on page A3-10 of[Ref. 9) that "...these results (ADFs) are independent of the tray width because of the assumption of true 1-dimensional behavior for these simulations." For two-stacked trap the SNL study indicates that the ADF value increases with increasing tray size. The recommended value (38%) in [Ref. 9, page 9) is based on a large (36") tray size and takes into consideration this dependence of ADF on the tray si:.e. Since the largest tray size at RBS is 30 inches, the ADF value recommended in [Ref. 9) for two-stacked trays is conservatively applicable to RBS.

e CALCULATION WORK SHEET l G13.18.14.o;i78. Rev. I ~ ~ ~~ IATTACHMENTNO.: N/A ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER 11END STATION PAGE 44 OF 73

3. 2. 2 Racenar Mareticd The difference between aluminum and steel, as far as their heat transfer cepability is concerned, is that aluminum has a lower emissivity, lower specific heat, a nd higher thermal conductivity than those of steel. None of these parameters, however, is important to the cable ampacity in a tray.

1. Specific heat is not a factor since the ampacities are determined for steady state conditions.

2. For the problem under consideration thennal conductivity of the raceway material is insignificant. If anything, aluminum is a better conductor than steel which should augment the ampacity.

3. Emissivity affects the radiation heat transfer which is an important comporient of the heat transfer rate from the cable bed to the fire barrier. For cable trays though, the radiation is directly from the exposed surface of the cable bed to the fire barrier. The area covered by the tray rungs is only a small fraction of the effective heat transfer area of the cable bed. Therefore the ADF is determined by the emissivity of the cable rather than the emissivity of the tray material. This is consistent with the heat transfer model used by SNL to evaluate the TU test data which uses the cable emissivity rather than the tray emissivity as the basis for heat transfer calculations.

Based on the comparison of the Thermo Lag tray tested by TU to obtain the ampacity derating factors and the standard Thermo Lag tray installations at RBS as summarized in Table 5.4 and further discussed in the paragraphs above, the use of the ampacity derating factors given in Table 5.1 isjustified. S3 Standard Untested Contieurations The ampacity derating factors for single conduit (both one hour and three-hour) and single three-hour tray enclosures at RBS (referred here as " Standard Untested Confgurations") are based on the results of the heat transfer. Although test data exists for steel conduits, this dat: was not used since the conduits at RBS are aluminum. Test data for three hour tray enclosures is not available. Accordingly, the ampacity derating factors for these configurations were determined by heat transfer analysis. The ADF values are listed in Table 5.2. 5.4 Uniaue Confieurations The ampacity derating factors for multiple raceways in common enclosures (referred here as " Unique Configurations") are based on the results of the heat transfer analysis. The only exception to this is the two stacked tray configuration for which TU test data as modified by SNL was applied as discussed in paragraph 5.2.1. The ADF values for the unique configurations are listed in Table 5.3. In calculating the ADF values for the unique configurations certain approximatioris and assumptions are used. These are discussed below.

(e CALCULATION WORKSHEET Gl3.18.14.0178 Rev.1 ATTACHMENTNO.: N/A ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BENO STATION PAGE 45 OF 73

1. The cable trays in the unique configurations are all filled to less than one full layer of cables.

Accordingly, the approach used in analyzing the " Standard Untes'ed" configurations has not been followed (i.e., assuming a one inch cable fill depth per assumption 2.3.10) for the unique configurations. Instead, the actual cable fill data have been used to determine the ADF values. The cable fill data used in tne analysis of the unique configurations is sununarized in Table 5.5. The cable size and the cable count data given in Table 5.5 have been used to determine the equivalent cable fill parameters in terms of the #8 3/C copper conductor model cable (see assumption 2.3.4). The equivalent cable parameters and the applicable equations are also shown in Table 5.5. The equivalent parameters are determined by preserving the following key heat transfer parameters: The total heat generation capacity (r'R in equation 2) of the model cable fill is the same as the total heat generation capacity of the actual cable fill The total surface area of the model cable fill (2w,)is the same as the total surface area of the actual cable fill. The overall heat transfer coefficient (U, in equation 4) of the model cable fill is equal to or less l than the overall heat transfer coefTicient of the actual cable fill.

2. Per assumption 2.3.6 no credit is taken for the portion of the enclosure wall below the bottom of the lowest power raceway. This has resulted in a significant reduction of the heat dissipation capability of the enclosures for the unique configurations Ul and U2. For Ul, only the top 37 inch portion of the enclosure is counted (Figure 5.1) For U2, only the top 40 inch portion of the enclosure is counted (Figure 5.2). Configurations U3a and U3B are not affected by this assumption.

3. Unique configurations Ul and U2 are partly formed by the adjacent concrete walls. Sections of these walls that are above the level of the lowest power tray are included in the heat transfer calculation by counting them as equivalent T-L panels of reduced area. This equivalence is approximately 0.4 ff of T-L panel for one square foot of concrete wall, and has been established by following the procedure described in Section 3.6.

4. The radiation shape factors for the unique configurations were calculated using the equations described in Section 3.7. The results of these calculations are summarized in Table 5.6,5.7 and 5.8.

5. Radiative heat exchange between individual raceways is neglected per assumption 2.3.16.

Examination of the results in Tables 5.11 and 5.12 shows that the raceway to-raceway temperature difference is only a small fraction of the raceway to barrier temperature difference. Therefore, the raceway to raceway radiative heat exchange, can l,e safely neglected without impacting the results. The ADF values for the unique configurations are summarized in table 5.3. Detailed calculations are contained in Tables 5.9 through 5.16. \\ 9

a CALCULATIONWORKSHEET G13.18.14.0-178, Rev. I ATTACHMFNTNO.: N/A ENGINEERING DEPARTMENT J BI NO.: ENTERGY RIVER BEND STATION l PAGE 46 OF 73 5.5 Avolicabilityto Travs with MaintainedSpacine The ADF values determined in this calculation for the " Standard Tested" and the " Standard Untested" configurations are based on " random fill." The ADF values for the " Unique Configurations" are based on " maintained spacing" type "H" or "L", defined in [Ref. 21] trays, and on " random fill" for type "K" trays. The trays with maintained spacing are subject to the same heat transfer rules as the trays with random fill. Per (Ref. 21), cables in type "H" and "L" trays are installed only one layer deep and spaced 0.4 to I diameter apart. With a spacing of I diameter between the cables, a maintained spacing fill has about 21 percent less exposed cable surface area than a random fill. With a spacing of 0.4 (minimum required at RBS) diameter between the cables a maintained spacing fill has about 12 percent more area than a random till. Considering the fact that the trays with maintained spacing are rarely filled one full layer, it can be said that the cables with maintained spacing have less exposed surface area than ' cables with random fill. This implies that the thermal resistance of a tray with maintained spacing is comparable to or higher than that of a random fill tray (0. Therefore, the relative impact of adding a fire barrier (i.e., adding a thermal resistance due to the fire barrier enclosure) is less significant for trays with maintained spacing. Based on this it can be concluded that the ADF values determined for the " Standard Tested" and " Standard Untested" configurations for random fill trays are also applicable to trays with maintained spacing provided that the raceway, the fire barrier material, and the fire barrier installation are similar. (1) Thermal resistance is the inverse of the product of the heat transfer area and the heat transfer coefficient. The heat transfer coeflicient is very nearly the same for both tray types since it is, primarily, a function of the cable surface temperature which is nearly the same as the cable conductor temperature (i.e.,90*C),

8 CALCULATION WORK SiiEET ATTACHMENTNO.: N/A ENGINEERING DEPARTMENT JBINO.: \\ ENTERGY RIVER BEND S TATION PAGE 47 OF 73 Table 5.1 Standard Tested Configurations Ampacities Based on Industry Test Data, [Ref. 9) Configuration Barrier ADF(%) Rating NRC RBS I."8.ICI!.ay,,,,,,,,,,!,ho,ur,,,,,,,,,,31,,5,@ef;,9, p,:,,1 p,],,,,,,,,,,,,,3 2,,,,,,,,,, Two Tray Stack 1-hour 37.7 [Ref. 9. Page 16] 38

Gl3.18.14.0178a key,1 CALCULATION WORK SHEET ATTACHMENTNO.: N/A ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAGE 48 OF 73 Table 5.2 Stardard Untested Configurations (Ainpacities Based on Analysis; Configuration Barrier ADF(%) Rating Single Conduit

1. hour 21 Table 5.9 See Note 1

..g......g....g.g.....................3..g.g...........).,.............y. 6'I" D" " " ' " ' ' .93.,..ote2See N.g.6"" " ..g.....9............................3..g.g...........3.j.......... Notes: 1. The calculated ADF value is 20% (see Table 5.9) Since [Ref. 9] recommends 21%, the higher value has been selected for use at RBS, 2. Three. hour conduit (existing) has the same T.L thickness as the one. hour (upgraded) T.L thickness (1.25", see Table 4.2). Therefore it has been assigned the same ADF as the one. hour conduit (i.e.,21%).

G13,18.14.0-178, Rev. I CALCULATION WORK SHEET ATTACHMENTNO,: N/A ENGINEERING DEPARTMENT JBI NO.t ENTERGY RIVER BEND STATION PAGE 49 OF 73 Table 5.3 Unique Configurations (Ampacities Based on Analysis) Contiguration Raceway Size Fill ADF Remarks (%) UI / *JB2072 (.ontiguranon is shown in tigurc 51. 1 hour ICK600NAI C 3.00 31.4% 21 (Note 6) Detailed Calculatio.is are in Table 5 t I ICK600NA6 C 1.50 23.6 % 38 ICK600NMI C 4.0 29.1 % 32 ICX91IOA The juncnon bos does not contain any ITK200R T 3xl8 1.1% 32 [ Note 5] power cable iRef. 4) ITH200R T 3xl8 32[ Note 5] ITC200R T 3x!8 Only the top J7 iriches of the enclosure 1TX200R T 3x!8 is credited for heat trusrer. U2 ICK600NA7 C l.50 23.6 38 Contiguranon is shown in Figure 5 2 l hour iCK600ND2 C 3.00 11.9 32 Detailed calculations are in Table 5.12 ITH201R T 3x18 32 [ Note 5) lTC201R T 3x18 Most restrictive ponion is the East iTX20iR T 3xi8 Les Only the top 40 inches of the (iTC202R) T 3x!8 cuctosure is credited for heas dissipation (ITX202R) T 3xl8 /TC203R T 3x18 ITC203R.1TX203R. ITC204R. and /TX203R ITFl202R are in labove the vertical /TC20JR T 3xl8 chase llTH202R) T 3x18 U3a 1TK001B T 3x30 12.1% 32 [ Note 5] contiguranon is snown in Fisure 5.3. 1 hour (TK0028) T 3x30 20:5% Detailed calculations are in Table 513 U3a iTC0478 T 3x30 12.1% 32 [ Note 5) Configuranon is shown in Figure 3.1 3-hour T 3x30 20.5 % Detailed Calculanons are in Table 514 U3b ITL0128 T 3x30 32 [ Note 5j Configurauon is shown in figurc 5 4 1 hour iTC0488 T-3x30 Detailed calculations are in Table 515 U3b 35 Confisurauon is sNwn in Figurc 5 4 3-hour Detailed Calculanons are in Table 516 Notes: 1. Baseline ampacities for "H" and "L" trays are based on "ampacities for cables with maintained spacing" Baseline ampacities for "L" trays are based on one inch cable fill depth. 2. Raceways shown in parenthesis are continuation of other raceways listed for the same configuration. 3. Racew ays carrying power cables are shown in bold. 4. ADF values have been rounded off upward to the next integer value. 5. Calculated ADF is less thar' the ADF for a similarly rated single tray in [Ref. 9, see Table 5.1]. De ADF given in [Ref.

9) has been selected for use it RBS.

6. ICK600NAi runs transverse t i the other raceways in the enclosure and is 12 inch away from the cable tra)s. For this reasons it has not been included in the heat transfer analysis. Instead the ADF value for a Standard One hour conduit (21%) has been conservatively assigned. 7. Raceway arrangement and fire barrier data are taken from [Refs. 4,13,14,24]. Raceway sizes and cable fill data are taken from [Refs. 4,13,25)

Gl3.18.14.0178, Rev. I CALCULATION WORK SIIEET ATTACHMENTNO.: N/A ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAGE 50 OF 73 ~ Table 5.4 Comparison of RBS and TU Tested Tray Configurations ATTRIBUTE RJVER BEND CONIANCHE TEST CONiNtENTS STATION PEAK REFERENCES AS-DESIGNED TESTED CONFIGURAT10 CONilGURATIO N N RACEWAY Cable Tray l Cable Trav l TUECScheme dAT.! l As.Designedis the TYPE .................. +................. +.. P. a..ge. 6..o.f..R.ef.. I.7)

(

....... +..s.a.m..e..a.s..T.e. s. te. d..........

See the docussion in RACEWAY 18 " x 3 "

l 24 " x.t " l TUECScheme NAT.I l paragraph 5.2. SIZE . 3. 0. "..w. 3..".......:..................:..(.P. a. f.e. 6..of. R.e.f..17.)......:............

See the discuss:on RACEWAY Aluminum l Steel l TUECScheme nAT.I l paragraph 3.2.

MATERIAL

(Page 4 o/Ref 17) i l

l BARR1ER Thermo. Lag l Thermo. Lag l TUECScheme NAT.I l As.Designedis the MATERIAL 3301 l 330 1 i tPage 6 ofRef I7) i same as Tested Prefabricated i Prefabricated i i l'. rob Panel ! l'. rib Panel ! BARRIER sib " ( I/8") l $/8"(t liS") l TUECScheme nAT.] l As.Designedis the THICKNESS ) (Page 9 ofRef I7) i sameas Tested 4............... 4......................... 4.......................... 101NT Pre. buttered l Pre. buttered l TUECScheme 4AT.I l As.Designedis the TYPES wrah trowel i with trowel i (Page 9 ofRef 17) i same as Tested grade ! grade i i makrial i material.....!...........................!......................... JOTNT Stress Skin, i Stress Skin. i TUECScheme NAT.I i As.Designedis the UPGRADE Tronel i Trowel i (Page 10 ofRef I7) i same as Tested METHODS Grade, Wire, i Grade, Wire. ! i Staples ! Staples Note: Data for River Bend Station are taken from (Ref.14). 1 e

G l 3.18.14.0-178. R;v.1 CALCULATION WORK SHEET ~ ATTACHMENTNO.: N/A ENGINEEIU.NG DEPARTMENT JBI NO t ENTERGY RIVER BEND STATION PAGE 51 OF 73 ~ Table 5.5 -Cable Data for Unique Configuration Trays lTil201R TipdfYill MSP tis I 'Ri RF MSP; Maintained Spacing Ti,,Tsi WFdth 18 --~~~ 3 0~~- ~ ~T8 ~18 RF: Random Fill h','TriiTeIg'ht 3 "~3 - ~3 - 3 Cable Fill (%) _ 22% 20'6 12*. ll% l Fill (9fy = gg n 250 MCM x100 Cable Size 410 Triplx. Tripix. 88 3/C Cu 88 3/C Cu "A ' dis Ca5Te DiaT~(En) 2.24 2.01 0.708 0 708 W,. 3 3 J 3 1,g(amp)'- 31$ 3 74 ~~~~~~$9 $9 R. (Ohis[000 A) " 0:064 'O.0$$ ~ 0!87$' 0:87$ n,QNo]of Castes p l4 lI7 -~2 w,h, x fill (%)/100 n,au = ~CabliSiie ~ l2,0 Inpix. l^ A 'd" d;M, CabliDia~(ii) ~~ 1.49 R.(Ohriyl000 Af ~ --~ ~ f02 - ~ 0 n,,Q N6. of Cabrer ~~~ ]p l -- A,ar> = 2 x min (n,su,au, w,) d TotalExposed Cible SurfsEFA~reas ~~ ~~ A., Surface (in'i-2DT-39:30-~ ~24.01 2 83 ~ A,,m [nd au L Equivalent Model Cable PaFiiimiders--- ~ ~ Cable Size

1. 8 3/C Cu #8 3/C Cu 88 3/C Cu #8 3/C Cu d,,6, tb dii~(iii) 0~.708 0.708- ~ 0.108 0:108"~ ~ b '+" = O W, J, J n,. ~ ~ ~ ~ ~

3~ 3 3 3 kkn's(Bfwh7AW) 0DI4 0.6l8 009'O ~0.090 ~

f. (amp) 59

$f $9 $9 7 ~ " '" "" R ichtn/1000 h) ~0:873 0:873~ 0:875 07873 n" '" = 1 16 ~~~ l 1 ~2 (l' R,n,),, nm.. sp., FMSF 0.82 0.82 0.82 J.93 1% (amp) 4874 - 48T4 34ED-34.0 % = y2 ~ s,, n., width (in) ~ 16.6 19:7 12.D ~l~4 "d.,~y,~ depth (in) 0.34 0.41 ~0.71 0.7 d, c,,, = (n,,ud cau / w, ) I. Items shown in boxes are input from Ref.12.

2. For trays iTH200R, ITH20lR, and iTL0128 the percent fill is calculated from the cable size and the number of cables given in Reference 12. For trays ITK0018 and ITK200R the number of cables is calculated from the percent fill data given in Ref.12.

I FMSF (Factor for cables with Maintained Spacing) is taken from Table VII of Reference 3

4. Cable diameters, resistances, and nominal ampacities are taken from Reference 3.

5. Baseline ; mpacities for random fill trays (K type tray) are based on one inch cable fill depth.

G l3.1814.0-178, Rey, I CALCULATION WORK SHEET ATTACHMENTNO.: N/A ENGINEERING DEPARTMENT JHI NO.: ENTERGY RIVER BEND STATION PAGE 52 OF 73 Table 5.6 Radiation shape Factors for Configuration UI Dimensions in Figure 3.3 (inch) ra rb w H cc h cc v cth ci v tt v Side Rail Height 0.95 2.25 18.00 6.00 5.00 1.00 1.00 1.50 16 00 6.00 Parameters in Equations !9,20,21 wi wj L ri rj s si s2 R S C Shape F. a ICK600NA6 b ICK600NMI 0.95 2.25 1.90 2.37 2.00 5.37 F = 0.147 c ITH200R (top oO l.50 0.95 19.0 1.0 F, = 0.144 d ITK200R(side rails) 1.00 0.95 55.5 1.5 Fa= 0.091 F = 0.62 it b ICK600NMI a ICK600NA6 2.25 0.95 1.90 0.42 0.84 2.27 F = 0.062 e iTH200R (top of) 0.50 2.25 24.0 6.0 F.,= 0.010 d iTK200R (side rails) 6.00 2.25 54.5 0.5 Fu- 0.219 F = 0.71 it c ITH200R a ICK600NA6 1.50 0.95 19.0 1.0 F,, = 0.04 8 b ICK600NMI 0.50 2.25 24.0 6.0 F,. = 0.008 d ITK200R 18.00 18.00 10.00 F,,,= 0.5 9 F = 0.68 it d ITK200R a ICK600NA6 17.50 0.95 19.0 1.0 f.= 0.04 b ICK600NMI 16.50 2.25 24.0 6.0 F,. = 0.08 c ITH200R 18.00 18.00 10.00 F, = 0.5 9 e ITC200R 18.00 18.00 10.00 F,, = 0.5 9 F ;= 0 35 i Notes:

1. Refer to equations 19, 20, 21, and Figure 33for nomenclature.

2. Conduit-to-tray shapefactors are based onfollowing conservative approximatiom:

A solidplane extends along thefull width of the top ofthe topmost tray. a b. A continuous solidplane covering the sede rods extendsfor thefull height of the stack ofthe power trqs. 3 Trm-to-trav shapefactors are based onfcilowmg: The spacing between ths cable trays is based on the actual measured dimension (not assumption 2.3.13) a. b. Tray asfilledto the top ofthe side rad andfor thef.dl width ofthe tray. was

G 13.18.14.0 1 M,"Rev, I e CALCULATION WORK SilEET ATTACHMENTNO. N/A C~U~ ENGINEERING DEPARTMENT Jitt NO.: ENTERGY RIVER llEND STATION PAGE $3 OF 73 Table 5.7 Radiation shape Factors for Configuration U2 Dimensions in figure 3.3 (inch) ra tb w H cc h cco ci n et v tt v Side Rail Height 095 1.75 18.00 6.00 0 00 6.00 18.00 2.00 16.00 6.00 Parameters in Equations !9,20,21 wi wj L ri rj s si s2 R S C Shape F. a ICK600NA7 b ICK600ND2 0 9$ l.75 3.30 1.84 3.47 6.32 F,= 0.095 c ITH20lR (bottom) 8.00 0.95 36.0 18.0 r, = 0.032 d iTC20lR (side rails) 18.00 0.95 24.0 14.0 f.,= 0.25 3 F,, = 0.62 b ICK600ND2 a ICK600NA7 1.75 0.95 L30 v.54 1.89 3 43 f.,, = 0.051 c ITH20lR (bottom) 14.00 1.75 36.0180 r = 0.046 u d iTCK20lR (side rails) 18.00 1.75 18.0 20.0 Fw= 0.258 r t= 0.64 o e ITH20lR a ICK600NA7 8.00 0.9$ 36.0 RO ry= 0.011 b ICK600ND2 14.00 1.75 36.0 i3.0 F,.= 0 028 d I THK20l R (top) 18.00 18.00 10.00 Fa = 0.59 F,;= 0 69 Notes:

1. Refer to equattons I9, 20, 21, and figure 3.3for nomenclature.

2. Condust to tray shapefactors are based onfollowsng corrervattve approssmations:

(a) A solidplane estends along thefull width ofthe top of the topmost tray. (b). A contunuous solidplane covering the ssde rods extena,fw thefull height of Ihe stack ofthepour trays. 3 Tray to-tray shqpefactors are basedonfollowung-The spacing betwen the cable trays is based on the actual measured dimension (not assumptson 2.313). a b Tray isfilled to the top ofthe side rail andfor thefull u sdth ofthe orn. 9

Gl3.18.14.0 178 Res.I a CALCULATIONWORKSHEET ATTACHMt.NTNO. N/A ~EEC" ENGINEERING DEPARTMENT JBI No.: ENTERGY RIVER HEND STATION PAGE $4 OF 73 Table 5.8 Radiation shape Factors for Configurations 03a and U3b Unique Configuratio U3a a ITK006 B wi(in) wj (in) L (in) b ITC047D 30 30 9 r,= 0.74 F r= 0.63 i Unique Configuratio U3b a Barrier (top) wi wj L b !)arner (11onom) 41 41 6 F, = 0.86 F::= 0.51 Note: I, Refer to equation I9 and Figure ) Jfor nomenclature

Gl3,18.14.0178, Re, I CALCULATION WORK SHEET ATIACllMENINO.: N/A ENGINEERING DEPARTMENT .381 No.: ENTERGY RIVER HEND STATION PAGE $$ OF 73 Table 5.9 2 Inch Conduit 31% FUI /l flour Rated (Std. Untested) FIRE ENCLOSURE D 4 TA li'ALL DA TA TDIPERA TURE D.4 TA d., outside diameter,(in) 5.125 A., area, (ft') N'A T., cond. ('F) 194.0 h,, height. (in) N/A t., thickn., (in) N/A T., amb. ('F) 104.0 A,,, arcs,h' I.3 IIEsiTK4NSFER c, emissivity 0.90 G4P D4 TA o,Bruh RR' l.7140E 09 t,, thickness (in) 1.230 k,,(Bruh. A 'F) 0.016 C, (WWBru) 0.2931 L. (Bru h-(t 'F) 0 090 t,, (in) I/8 a 0 20 F,. shape factor 1.00 h,,(Brah R' 'F) 1.54 n 0.25 TRA YXONDUliDA TA Type coNDillT n,, no. of raceu s) s I w,, w idth (d. dia), in 2.375 h,, height (r. thic An ), (in) 0.I54 d,, depth, in (fill. %) 31.0 Entries in (italic) apply to conduits only c, cable /condutt/ cmissivity 0.20 F,,, shape factor 1.00 Boxed entries derignate the parameters cable site a8 3/C Cu over which iterations are carned out d, , cable dia,(in) 0.708 ry,, no. of conductors 3 Entries in [ ] show the equation number in Section 3.0 R. resistatice, Ohm /10000 0.875 kw, Bruh A *F 0.090 1 i.,,,, baseline amp., ( Amp) 36.4 CALCUL4 TED PARAMETERS Racessav l ,,,w, ( Amp) 29.1 y n,,,,w, number of cables 3 [3] A,, heat transfer area, (h') 0.62 [6] q,,(Bruh raceway ) 20.06 [2) q,(Bruh category) 20.06 [q,* n,) U (U-,,),(Brah ft' *F) 0.82 ( Eq. 4) T,, Surface Temp. (*F) 136.8 [Eq.4) T,, enclosure att temp.,(*F) [146.0 l Enclosure h.,,,, (Brah ft' *F) 3.07 [Eq.9,11)

h.... (Brnh ft' *F) 3.07

[Eq.9,II) 3 h,,,,(Bruh ft *F) 1.54 (Eq.Il) h,w.,,, (Bruh ft' 'F) 0.29 [Er,}. 8] 8 h,,,(Btuh 3 *F) 1.82 [h,+h,w) n Barrier &.4mbient 3 U,(Bruh ft *F) 0 61 [Eq.12) T Inside Temp,('F) [137.2TII3~~j Tw, Outside Temp.,('F)

Eq.12) h,.6., (Bruh ft' 'F) 0 43 (Eq.9) h,w.. (Btuh ft' 'F)

LA4 [Eq. 8) hu,(Bruh f)3.'F) 1.57 [h,u+h,g) T.,('F) 10:LO [Eq.13] ADF 20.0 %

a_, Gl3.18.14.0178, Rc, I CALCULATION WORK SHEET ATTACHM Ei4TNO,1 N/A ENGINEERING DEPARTMENT JBt NO, ENTERGY RIVER BEND STATION PAGE 56 OF 73 Table 5.10 -30 Inch Tray /3 Ilour Rated,1 inch Fill (Std. Untested) FIRE ENClo.$ URE D.4 T4 Wall D.4 TA TEMPER 4 TURE DA TA w, width,(in) 32.5 A., area, (R') N/A T., cond. ('F) 194.0 h, height,(in) 7.75 t., thickn., (in) N/A T., amb. ( F) 104.0 l A,,nres,R' 6.7 IIE4 T TRAM! ER. e, emissisity 0.90 G4P D 4 TA o, Brah A' *R' I,7140E 09 t, thickness (in) 1.250 k,,(Btuh fVF) 0016 C, (WNBru) 0 2931 k,.(Bruh f9F) 0,090 t,, (in) N/A a 0.20 F,, shape factor 1.00 h,,(Bruh R' *F) N/A n 0.25 TRA YKONDUliDA TA Type TRAY n,, no. of raceway s I w, w idth (d. dia!, in 30.0 h,, height (t. shtcAn1 (in) 3.0 d,, depth, in (/ill. %> l.0 Entries in (italic) apply to conduits only j c, cable (condust) emissivity 0 80 F,,, shape factor 1.00 Boxed entries designate the parameters cable size a8 3 'C Cu os er which iterations are canied out d,,w, cable dia,(in) 0.708 n,, no. of conductors 3 Entries in [ ] show the equation number in Section 3.0 R, resistance, Ohm /1000R 0875 k m,Btuh R 'F 0.090 l baseline amp.,(Amp) 34.0 i CALCULA TED PAK4 METERS Raceway 1%, ( Amp) 19.2 n,,w, number of cables 60 [3] A,, heat transfer area (R') 5.00 [6] q,,(Bruh raceway ) 198. [2] q,(Bruh category) 198. [q,'n,) 8 U,(U,a,,),(Bruh R 'F) 4.32 (Eq.4] T,, Surface Temp. ('F) 184.8 (Eq.4] T,, enclosure air temp., (*F) l169.9 l Enclosure 5,,,, (Bruh R' 'F) 0.3 I [Eq.91 h,,,, (Bruh fl' *F) 0.29 (Eq. 91 h,,,,(Bruh A'*F) 0.17 [Eq.til h,w.,,, (Bruh.ft' 'F) 1.27 [Eq.8) h,,, (Btuh R' *F) 1.44 [ h..,, + h,g] Barrier & Ambient 2 U,(Bruh R *F) 0.86 [Eq.I2) T,inside Temp.,('F) [157.9 l T,,,, Outside Temp.,(*F) 123.7 (Eq.121 S 2 h,(Bruh R 'F) 0.33 (Eq.9) 2 hm.,(Bruh R *F) 1.17 [Eq. 8) h,(Bruh R'*F) 1.49 [h..,+h,g) T., (*F) 104.0 (Eq.13] ADF 43.5%

G 13.18.14.0 178. Rev, I CALCULATION WORK SilEET ATTACilh1ENTNO. N/A ENGINEERING DEPARTMENT Jill NO. ENTERGY RIVER HEND STATION PAGE $7 OF 73 Table 5.11 Configuration U1 (ITH200R/ITK200R/ICK600Nh11/ICK600NA6) flRE ENCLOSURE DA TA WALL DA TA TEMPEK4 TURE DA TA w., w idth, (in) 42 A., area ( A'1 3.1 T., cond. ('F) 194.0 h,. height, (in) 37 t., thickn., (in) 36 T., amb. ('F) 104.0 A, area A' 7.953 IIE4 T TK4NSFER. c., emissivity 0.90 GA P DA TA 0, Btuh A' 'R' l.714E 09 t, thickness (in) 0.625 k,, Bruh A *F 0.016 C, (WNBru) 0.2931 kg.(Brah ft 'F) 0.090 t,,in N/A a 0.20 F, shape factor 1.00 h,, Brah A' 'F N/A n 0.25 TKitTONDUlTDA TA 1111200R 81K200R ICK600N%ti ICK600N46 Type TRAY TRAY CONDUli CONDUri n,, no. of raceway s i i 1 I w,, cable bed width (d. dia> in 10.6 1.4 4.50 1.90 h,. height (t. thscAn 1 (in) 3.0 3.0 0.237 0.145 d,, depth, in (/ill. %/ 0.34 0 71 29.1 23.6 e, cable (condust) emissivity 0.80 0 80 0.20 0.20 F,,, shape factor 0.68 0.35 0.71 0 62 l cable size a8 3/C Cu a8 3/C Cu a8 3/C Cu a8 3/C Cu d, cable d%(in) 0.708 0.708 0.708 0.708 n,.. no. of conductors 3 3 3 3 R, resistance, Ohm /1000A 0.875 0.875 0.875 0.875 k.a. Btuh A 'F 0.014 0.090 0.090 0.090 1..,, baselme amp.,(Amp) 48.4 34.0 23.4 52.0 3 CALCUL4 TED PAK4 METERS Racewm. I,,,,,,w, ( Amp) 35.9 24.6 16.0 32.5 n,,w, number of cables 7 2 9.4 I I [3] A,, hett transfer area, ( A') 1.77 0.23 1.18 0.50 (6) q,,(Btu /5 racew.iy ) 82.96 10.74 21.52 11.53 (2) q,(Bruh category) 82.96 10.74 21.52 11.53 (q,'n,) U,(U.,),(Brah A' 'F) 1.98 6.10 0.60 1.03 ( Eq. 4) T,, Surface Temps ('F) 170.2 186.5 163.6 171.5 [Eq.4) T., enclosure air temp.,('F) [150.5 l165.6 l148.2 1855I l E sclosure 8 h,,,, (Btuh A 'F) 0.43 0.73 0.51 0.64 [Eq.9] h,,,,, (Bruh A* *F) 0.33 0.37 0.32 0.34 [Eq.9) 8 h,,,,, (Btwh A 'F) 0.19 0.25 0.20 0.22 (Eq.Iil h,u,(Bruh A' 'F) 0 84 0.50 0.27 0.27 (Eq.8) h,,, (Btu h A* *F) 1.03 0.74 0.47 0.49 [h,gh,u) Barrier & Ambient U.,(Bruh A' 'F) 1.73 (Eq.12] T. Inside Temp.,('F) 1124.5 l Boxed entries designate the parameters S T, Outside Temp.,('F) I15.3 [Eq.12) over w hich iterations are camed out h,.w,(Bruh AF) 0.27 [Eq.9) Entries m ( ) show the equation number h,w. (Brut ft' 'F) 1.14 [Eq.8) in Section 3.0 hu,(Bruh ft' *F) , 1.41 [h +h,w] Entries in (static) apply to conduits only T.,('F) 104.0 (Eq.13] ADE 25.8 % 27.6 % 31.7% 37.5 %

1 l CI3.18.14.0178; Rev, I CALCULATION WORK SilEET ATTAcHM EN~l NO.: N/A T' ENGINEERING DEPARTMENT lHI NO. ENTERQY RIVER BEND STATION PAGE $8 OF 73 Table 5.12 - Configuration U2 (ITH20lR/icx600NA7/lcK600ND2) FIRE ENCLOSURE DA TA H'ALL DA TA TEMPEM TURE DA TA w, width,(in) 70 A., area, (ft') 9.3 T., cond. ('F) 194.0 he, height, (in) 40 t., thickn., (m) 36 T., amb. ('F) 104.0 As, area,h' 7.3 flEAT TRANSFER. L., emissivity 0,90 GN'DA TA o, Btuh R' *R' l.714E 09 t., thickness (in) 0625 k,, Bruh ft 'F 0.016 C, (WWBru) 0.2931

k. (Brah ft 'F) 0.090 t,,in N/A a

0.20 F,, shape factor 1.00 h,, Btuh h' *F N/A n 0.25 TM YKONDUliDA TA lTutolR lCksee%As lCus00%D3 Type TRAY CONDUIT CONDUlf n no.of racewsys i i 1 n w,, cable bed width (d. dial, in 10 6 1.90 3.50 h,, height (t. thsc An ), (in) 3.0 0.145 0.216 d,, depth, in (/ill. %/ 0.34 23.6 12.0 c, cable (condust> emissivity 0.80 0.20 0.20 F,,, shape factor 0 69 0.62 0.64 cable size 88 3/C Cu 88 3/C Cu 88 3/C Cu d, , cable dia,(in) 0.708 0.708 0.708 n, no. of conductors 3 3 3 R, resistance, Ohm /1000h 0.875 0.875 0.875 L.. Btuh A 'F 0.014 0.090 0.090 f , baseline amp.,(Amp) 48.4 52.0 41.6 CALCULA TED PARAMETERS Raceway 1,,,,,n,4, ( A m p ) 36.0 32.3 28.3 n., number of cables 7 1 2 [3} A,, heat transfer area,(n') 1.77 0.50 0.92 [6] q,, (Bru/h-racew sy ) 84. II. 16. [2] q,(Brah category) C3.6. 11.4. 16.2. [q,* n,) U,(U ,,), (Btwh A' *F) 1.98 1.03 0.57 [ Eq. 4) T,, Surface Temp. (*F) 170.1 171.8 163.0 [Eq.4) T,, enclosure air temp., ('F) 1851.3 l156.2 1149.1 1 Enclosure h,,,,, (Brah h' *F) 0.43 0.63 0.53 [Eq.9) h.,,,, (Bruh A' *F) 0.29 0.31 0.29 [Eq.9) h,,,,, (Btwh ft* 'F) 0.17 0.21 0.19 [Eq ll) he,(Bru'h ft' *F) 0.85 0.27 0.27 [Eq81 h,,, (Btu,h A' *F) 1.02 0.48 0.45 [h..,,+h ] [h.,,+he] Barrier & Ambient U.,(Bruh ft' 'F) 1.73 [Eq12] T,,inside Temp.,(*F) l123.9 i Boxed entnes designate the parameters S T, Outside Temp.,('F) i15.1 [Eq12) over w hich iterations are carried out h,,,(Btut h' 'F) 0.23 [Eq.9,11) Entnes m [ ] show the equation number hm., (Bruh-ft' 'F) 1.14 [Eq.8) in Section 3.0 h.(Btwh ft* *F) . 1.37 [h,,+h ) Entries in (italic) apply to conduits only T., l'F) 104.0 [Eq.I2) ADF 25.6 % 38.0% 31.9 % l

G l3.18.14,0 178, Re.,1 I e_ CALCULATION WORK SilEET AlTACHMENT No.: N/A ENGINEERING DEI'ARTMENT Jul No.: 1 ENTERGY RIVER BEND STATION PAGE 59 of13 I Table 5,13 -Configuration U3A /One-Ilour flRE ENClou RE D 4 TA H'A LL D 4 TA TE.\\lPERA TURE D.4 TA u, width,(in) 41.0 A., area, (8 ) N/A T., cond. ('F) 194.0 8 h,, height, (in) 24.00 t., thickn., (in) N/A T., amb. ('F) 104.0 A, area. n' I0.8 llEA T TR4NSFER. l c., emissivity 0.90 GAP D.4 TA o, Btuh R 'R' l.714E 09 8 t, thickness (in) 0.625 k,, Brah. A 'F 0.016 C, (W hBtu) 0.2931 k (Bruh R 'F) 0.090 t,in N/A a 0.20 f, shape factor 1.00 h,, Brah. A' *F N/A n 0 25 TRA YKONDUlf DA TA lTkooln T)pe TRAY n,, no. of rac ew a) s I w,, cable bed w idth (d. dial, in 12.0 h,, height (t, thicAn ), (in) 3.0 d,, depth, in (/ill. %) 0.7 Entries in (static) apply to conduits only c, cable / con 4st/ cmissivity 0.80 F,,, shape factor 0 63 Boxed er,tries designate the parameters cable site 88 3'C Cu over which iterations aie camed out d,,,w, cable dia,(in) 0.708 n no. of conductors 3 Entries in [ ] show the equation number in Section 3.0 R, resistance, Ohm /1000n 0.875 k,,, Btu h 0 'F 0.090 1,,,,,,,,,,, baseline amp., ( Amp) 34 0 C4LCUL4 TED PARA ffETERS Racenar I,, .,,,, ( Amp) 31.3 n,,,,,, number of cables 17 [3] A,, heat transfer area (h') 2.00 [6] q,,(Btuh raceway )

149,

[2] q,(Bruh caregory) 149. [q,'n,] U, ( U.,.w,,, ), ( B ru h R' *F) 6.10 [Eq.4) T,, Surface Temp. ("F) 181.8 (Eq.4] T, enclosure a, temp.,(*F) l136.7 l Enclosure 8 h,,,, (Bruh R *F) 0.52 (Eq.9) h.., (Bruh A' 'F) 0.29 [Eq.9] 8 h,3,(Bruh h 'F) 0.39 (Eq.II] h,wo, (Bruh R' 'F) 0.85 [Eq.8] 8 h,.,(Brut R *F) 1.24 [h s h,ww] Barrier & Ambient U.,(Bruh R' *F) 1.73 (Eq.12] T,, inside Temp.,('F) l121.7 l T,,,, Ou: side Temp.,(*F) i13.8 (Eq. I2] h.., (Bruh R' *F) 0.26 (Eq.9,II] h,w.. (Bruh h' *F) 1.14 [Eq.8) h. (Bruh.n' 'F) 1.40 (h..,+ h,w] T., (*F) 104.0 (Eq.12] ADF 8.0**,

e CALCULATION WORK SilEET Gl3,18.14.0178, Re, I ATTACitMENT NO,1 N/A ENGINEERING DEPARTMENT Jill NO,t ENTERGY RIVER BEND STATION PAGE 60 OF 73 Table 5.14 -Configuration U3A /Three Ilour flRE ENCLOSURE D 4 TA WALL D 4 TA TDIPEK4 TURE DA TA w,, width (in) 41.0 A., area. (ft') N/A T., cond. ('F) 194.0 h, height,(in) 24 00 t., thickn., (in) N/A T., amb. (*F) 104.0 Ay, area, it' 10 8 HEA T TRANSFER, t, emissivity 0.90 GAPDa TA o, Bruh ft 'R' l.714E 09 3 t,, thickness (in) 1.250 L,, Bruh ft.*F 0.016 C. (W WBru) 0.2931 i k,(Btuh ft 'F) 0 090 t,, in N/A a 0.20 F, shape factor 1.00 h,, Btuh ft' 'F N/A n 0.25 TRA Y/CONDUlTDA TA l1koola Type TRAY n,, no. of racew a)s I w,, cable bed width (d. dial, in 12 0 h,, height (t. thscAn ), (in) 3.0 d,, depth, in (/ill %> 0.7 Entries in (italic) apply to conduits only t, cable (condust) emissivity 0.80 F,,, shape factor 0.63 Boxed entries designate the parameters cable size a8 3/C Cu over which iterations are carried out d,,w,, cable dia (in) 0.708 n, no. of conductors 3 Entries in [ ] show the equation number in Section 3.0 R. resistance, Ohm /l000ft 0.875 km,,, Bruh ft *F 0.090 l i, baseline amp.,(Amp) 34.0 CALCul.A TED PAKUfETERS Raceum Im,,,, ( Amp) 30.0 n,.w,, number of cables 17 [3] A,, heat transfer area,(ft') 2.00 [6] q,,(Bruh raceway )

137,

[2] q,(Bruh category) 137. [q,* n,) U, (U%,,), (Bruh ft' *F) 6.10 [Eq.4) T,, Surface Temp.,(*F) 182.8 [Eq.4] T., enclosure air temp., ('F) l l 41.4 l Enclosure h,,,,, (Brnh ft' *F) 0.5 I [Eq.9) h,,,,(Brnh ft' 7) 0.28 [Eq.9) h,,,,, (Btuh ft' 'F) 0.38 [Eq.I1) h,u,(Bruh ft* 'F) 0.86 [Eq.8) h,,, (Btu h ft' 'F) 1.24 [h.,,+ h,,4.,,) Barrser & Ambient U,(Bruh ft' 'F) 0.86 [Eq.12) T.,inside Temp.,('F) lI27.7 l T,., Outside Temp.,('F) I13.1 [Eq.12] h,u,(Bruh ft' 'F) 0.26 [Eq. 9] h,,n.,(Bruh ft' 'F) 1.13 [Eq.8) h (Btsh-ft' 'F) 1.39 [h. +h,,4) T.,('F) 104.0 [Eq.I3) ADF 1I.6%

G lJ.18,14.0 178, Reg, I CALCULATION WORK SilEET ATTACHM ENTNO.: N/A ENGINEERING DEPARTMENT JBI No.: ENTERGY RIVER llEND STATION PAGE61OF73 Table 5,15 -Configuration U3B /One flour FIRE ENCLOSURE D.4 TA Wall DA TA TE.\\tPEK4 TURE D.4 TA w, width,(in) 41.0 A., area, (h') N/A T., cond. (T) 194.0 e h,, height, (in) 8 00 t., thickn, (in) N/A T., amb. ('F) 1040 A, area, n' 8.2 IIE4 T TR ANSFER. c,, emissisity 0.90 G4P DA TA 0, Bruh 8' 'R' l.714E 09 t., thickness (in) 0.625 L., Dtu h.A 'F 0.016 C, (W h'Bru) 0.2931 k,(Bruh h.'F) 0,090 t,,in N/A a 0.20 F,.. shape factor 0 57 h,, Btuh ft' 'F N/A n 0.25 TRA Y/CONDUliDA TA l1Losta Type TRAY n,, no. of racew ays I w, cable bed w idth (d. dsa), in 19.7 i h,, height (f. thscAn 1. (in) 3.0 d,, depth, in (/ill. %) 0.4 Entries in (stalic) apply to conduits only t, cable Irondust) emissivity 0 80 F,,, shape factor 1.00 Doxed entries designate the parameters cable size 88 3/C Cu oSer which iterations are carried out d..,, cable dia, (in) 0.708 n,,,, no. of conductors 3 Entries in [ ] show the equation number in Section 3.0 R, resistance Ohm /10000 0.875 kw, Btuh H.*F 0.018 l i, baseline amp.,(Amp) 48.4 CALCULA TED PARA.\\tETERS Racessav I-,,,, ( Amp) 33.8 n,,,, number of cables 16 (3) An heat transfer area,(h') 3.28 [6] q,,(Bruh raceway )

165,

[2] q,(Bruh category)

165, (q,'n,]

U, (Um,,), (Btu h R' 'F) 2.11 ( Eq. 4] Tn Surface Temp ('F) 170.1 (Eq.4] T., enclosure air temp.,('F) [148.1 l Enclosure h,,,,(Btwh h' T) 0.38 [Eq.9] h,[,,,(Bruh R* *F) 0.28 [Eq.9)

h.,,, (Bru h R' T) 0.25

[Eq.II) h,,4 4, (Bruh R* *F) 1.22 (Eq.8] h,,,(Bruh A' *F) 1.47 [h,.,,+ h,,4 ] Barrser &.4mbient U,,(Bruh h' *F) 1.73 _(Eq12] T., inside Temp.,('F) [13$ 8 l Tw, Outside Temp.,('F) 124.1 (Eq.12] h,.,(Btuh h* T) 0.31 [Eq.9] he,,,(Bruh A*'F) 0.70 (Eq. 8] 2 h. (Btuh ft.'F) 1.01 (h..,+h,,4] T.,('F) 104.0 (Eq.13] ADE 30.1%

1 e CALCULATION WORK SIIEET Gl3.18.14.017&a Rev, t l ATTACH MENT NO.: N/A ENGINEERING DEPARTMENT JulNo.: ENTERGY RIVER HEND STATION PAGE 62 OF 73 1 Table 5.16 -Configuration U3B TI'hree Ilour FIRE ENCLOSURE D.4 TA IV4LL D 4 TA TEMPEK47URE D.4 TA w, width,(in) 41.0 A., area (8 ) N/A T., cond. (*F) 194.0 s 8 h, height,(in) 8 00 t., thickn, (in) N'A T., amb. ('F) 104.0 As, area,h' 8.2 IIE4 T TK4NSTER. c, emissivity 0.90 GAP D.4 TA o, Druh h' 'R' l.714E 09 t, thickness (in) 1.250 L,,Druh h T 0,016 C. (WNDru) 0.2931 k (Dtuh h *F) 0 090 t,,in N/A a 0.20 F, shape factor 0.57 h,, Btuh.ft' 'F N/A n 0.25 TRA Y/ CONDUIT D.4 TA nLesta Type TRAY n,, no. of racewa): I w,, cable bed width (d. dia), in 19.7 h,, height (t. thicAn ), (in) 3.0 d,, depth, in (fill, %) 04 Entries in fatahc) apply to conduits only c, cable (condust) emissivity 0.80 F,,, shape factor 1,00 Boxed entries designate the parameters cable size 88 3/C Cu os er w hich iterations are carried out d. w. cable dia, (in) 0.708 n,,,, no. of conductors 3 Entries in ( ) show the equahn number in Section 3.0 R, resistance, Ohm'l000ft 0 875 kwe, Bruh h 'F 0.0 l 8 1 i, baseline amp.,(Amp) 48.4 6 CALCUL4 TED PAK4 METERS Raceum-1,, ,4, ( Amp) 31.9 n,.., number of cables 16 (3) 2 A,, heat transfer area,( A ) 3.28 [6] q,,(Druh raceway )

147,

[2] q,(Bruh category) 147. [q,' n,) U,(U,a,,), (Bruh h' 'F) 2.11 ( Eq. 41 T,, Surface Temp. ('F) 172 8 [Eq.4) T,, enclosure air temp., ('F) l1$3 6 I Enclosure

h.,, (Btth n' *F) 0.37 (Eq.9}

h,..,(DruhhF) 0.27 [Eq.9] h,,,, (Druh h' 'F) 0.24 (Eq.Il} h,.4.,,, (Dtuh h* 'F) 1.25 [Eq.8) h,,, (Bruh A' 'F) I,49 (h.,,+ h,.4.,,) Barroer & Ambient U.,(Bruh h' *F) 0.86 (Eq.12l T.,, inside Temp., (*F) lI42.8 l i T,,,, Outside Temp.,(*F) 122.0 (Eq.121 h,. (Bru'h n' 'F) 0.30 (Eq.9] hm., (Bruh ft' 'F) 0.69 [Eq.8) h,,(Dtuh ft' *F) 0.99 [h. + h,,4] T., ('F) 104.0 (Eq.I3) ADF 34.2 %

Gl3,14.8 4.0178, Rei, i CALCULATION WORK SHEET ATTACHMENThu, N/A ENGINEERING DEPARTMENT JBI NO.: NM RIVER BEND STATION PAGE 63 Of 73 _~ f f f I S.y w M g4 j A ne m A 't>

• -A f

I f f f I k 7.y y.o' 7,y vs. f10' f S g,;. A .9 ._.- p 61' 2M -lM 2( mannua f T ( APPROX ) CONCRETE I 'm - IOADN164TCEM

• y A

. c. e [,d,\\Wmam, w r i.; ' ~" t '=E ~~i E*E EYlJ'In W E E5k E* ""*" **" w i== i __ a p.,. icusew ara t" i i i concurt t

i. nuwuAc

- y.s ---- $4CT10R M Figure 5.1 Configuration U1

G 13.18,14.0178, Mn, l CALCULATION WORK SHEET ATTACHMENTNO.: N/A ENGINEERING DEPARTSf ENT JBI NO.: ENTERGY RIVER HEND STATION PAGE 64 OF 73 ~ tr.ia CC'.TRlTE ll'r I illtu nLA0 N / N' tr ,', / } y , /' l'A$T LEO ,/ 'l vannuc s.. F# l ,jf ' ~ V 6 4 4 s, v rr s.r tr i s t N '~ N f V l ,/ ~ / ssj f 'x ./ / . ra. .3 . r.c - r.r ~ s.w -e ~ tr -m .[. rm h ITE.HR i f , im, im,. mi 1 6 N h yp stG k1WAV r 1 1mnw w w mta mn DI a, { v(At q attbML9B5fWE 7 g. I 4 f-kusse 4 I 31 211 - _L. mum 9 som uci (RONMGM4 aft UGl Figure 5.2 Configuration U2

Gl3.18.14.0 l?8, Rev, i CALCULATION WORK SHEET ATTACHMENTNO : N/A ENGINEERING DEPARTMENT J BI No.: RIVER HEND STATION PAGE 65 OF 73 >N-A V I A T r.i-i.n- _f f -+ 2710-6' I ( y.$- w b i ITKNIB 30" ITC6478 f SEC110NYltV/ Figure 5.3 Configuration U3a bl/h3

Gl3.18.14.0178. Res. i CALCULATION WORK SiiEET A'ITACllMENTNO.: N/A ENGINEERING DEPARTMENT J ul N o.: ENTERGY RIVER llEND STATION PAGE 66 0F 73 ,le /N 2 v i I 10' A L_.2 r.i' 8 i'.y IV e + 2- ~- -- y.y -- ~ ~ y.y w l lRei:8 l l iTtet;n I g. 2' n I ITco48 l l i m ag l 9 (LtriEND) (CEmAL SECTION) Figure 5.4 Configuration U3b hl S3

Gl3.18.14.0178 Rev. I CALCULATION WORK SilEET Ari ACliMENTNO.: N/A -- N ENGINEERING DEPARTMENT Jill No.: ENTERGY RIVER HEND STATION l' AGE 67 of 73

6.0 REFERENCES

NON RBS 1. (RBS) 2. Early, hi. W. et al, National Electric Code Handbook, Sixth Edition,1993, National Fire Protection Association. 3. IEEEllPCEA Standard S.I35lP 46 426, Power Cable ampacities: l'olume 1 Copper conductors and l'olume ll Aluminum Conductors.1984. 4. (RBS) 5. Stolpe, J., Ampacitiesfor Cables in Random!y Filled Trms, IEEE Transactions Paper No. 70 TP 557 PWR, April 1970. 6. Ozisik, M. N., Basic heat Transfer, hicGraw Hill,1977. 7. McAdams, Heat Trar.smission, McGraw liill,1954, 8. ICEA Standard Publication Ampacities ofCables in Open top Cable Trays. ICEA P 54-440 (Third Edition), NEMA WC 51 1986. 9. Safety Evaluation Report by the Office of Nuclear Reactor Regulation, Ampacity Issues Related to Thermo Lag Fire Barriers. Texas Utilities Electric Company, Comanche Peak Steam Electric Station. Unit 1 Docket No. 50-446, US Nuclear Regulatory Commission, June 14,1995. 10. Rohsenow, Handbook ofheat Transfer, McGraw liill,1973. I 1. Yest Report by United States Testing company, Inc. dated July 1994. 12. (RBS) 13. (RBS) 14. (RBS) 15. Ncher J. H., and M.13. McGrath The calculation of The Temperature Rise and Load Capability ofCable Systems, AIEE Transactions, vol. 76, Oct.1957, pp. 752 72.

G l3.18.14.0.I'/8, Rey,1 CALCULATION WORK SIIEET ATT ACllMEN1ho.: N/A "' 2 ~ C ~ ENGINEERING DEPARTMENT JI61 NO.: ENTERGY RIVER BEND STATION l'AG E 68 Ol' 73 16. liolman, J. P., Heat Transfer, hicGraw Ilill,196.1 3 17. Omega Point Report Titled ".4mpacity Derating ofFire Protected Cables " Prepared for TU Electric, Omega Point Project No. 12340 94583,95165 95168,95246, Starch 19,

1993, 18 (RBS) 19.

" Flow ofFluids through l'alves. Fittings, and Pipe", Ctane Co., technical Paper No. 410.

1981, 20.

(RBS) 21 (RBS) l 22 (RUS) I 23. Incropera, F. P. and Dewitt, D. P., Introduction to lleat Transfer, John Wiley & Sons, 1983. RBS I 1. VECTRA t'roject Instructions Titled ".4mpacity Derating Evaluation." PI 0103-00203.002101, Revision 1. (RBC 46774 & 46928, File Code 240.201) 4. hiemorandum from A. Adrian (VECTRA) to T. Dogrn (VECTRA) dated June 4,1996. (Included in Attachment B) 12. hiernorandum from L. Easter (DE&S) to T. Dogan (DE&S) dated 1/9/97 (included in Attachment B). 13. hiemorandum from A. Adrian (VECTRA) to T. Dogan (VECTRA) dated hiay 31,1996. (included in Attachment B) 14. Dh&S Repert Titled "Thermo-Lag Assessment for Entergy Operations Inc., River Bend Station (0103 00203 R 03), Rev. O,0:tober i1,1996. ! 8. 7241.200 508 001 A," Cable Impedancesfor 90 C Conductor Temperature." 20. RBS Dwg. No. KA EE-034YJ

8 GIJ.18.14.0178, Rev. I CALCULATION WORK SilEET AlTACllMEN1 No.: N/A '= N ENGINEERING DEPARTMENT Jill No.: ENTERGY RIVER DEND STATION l' AGE 69 or 13 2l. 241.200, Rev. 3, " Electrical Design Criteriafor Insulated Ii' ire and Cable as Used on River Bend Station. Units I and 2." 22. RBS Dwg. No. EE 340.YA, Rev.10. 24. Memorandum from A. Adrian(DE&S)to T. Dogan(DE&S) dated August 15,1997. 25. Memorandum from L Easter (DE&S) to T. Dogan ((DE&S)) dated August 15,1997.

e CALCULATION WORK Sl(EET Gl3.18.14.0178 Rev, i A1TACllMLNTNO.t N/A ENGINEERING del'ARTMENT Jill NO.t ENTERGY RIVER llEND STATION PAGE 70 Or 73 i CALCULATION CilECKLIST YES NO N/A FORMAT ID.AA gg 0 X Cover Page completed 6 4.1 X f able of Contents completed (as requiredt 64.2 X Revision thstory Sheet completed (as requiredt 643 X Revisions are identined with revision lines in right margin. 64) X Applicable Documents Page completed. 644 X Dennitions established (as required). 64.5 X Calculation'revistorraddendum page numbers are identined correctly. 6 4.10 CONTENTS l X Previous calculation for the required analy sis enets. 6.3 X Calculation is appropriately titled for the iintended scope. 64.12 X Purpose and scope are clearly arid adequately established. 64.17,7.1 X Safety classification is correct for the identified scop? 64.l.6 X Topics-documents: equipment for cross reference.retriesal are identified. 6.4.1 11 I X Calculation is clear and comprehensible. 6.1 X Applicable codes, standards, etc. are identified. 6441 X RBS references are identified. 6442 X Af fected documents sie identined 6443 X Inputs and sources are identified. appropnate, and correct. 7.2.21 X Assumptions are identified and appropnate. 7.2.2 2 X Inputs densed from field walkdown have been witnessed senned 7.2.25 X Engineering judgments are identified and appropnate. 7.226 X Calculation methodology is identified and supported by technical bases. 7.2.3 X Conclusion is appropnate and is justined by calculation. 7.3 X Confirmations are identined and indicated as required on Cover Page. 7.5.7 X Directions for Confirmations are included. 7.5.73 ~ X Calculation data is appropriately included, attached. or referenced. 7.4 X Programs and softw are are identined and have been senfied and validated 8,0 X MethodVcalculations use to check results are ident:0ed and included. X 9esults are accurate and in accc,rdance with the established methodology. X Certincation by Professional Engineer is required. 11.7 YENDOR CALCULATIONS X Calculation is performed m accordance with EDP. AA.25. 10.2 X Calculation content sad format are acceptr.ble. 10.2 X Vendor, preparer, review er, and appros er are clearly identined. 10.3 i X l Design 5 enncanonfeview has been completed (as apphcable). Preparer (Signature KCN or SSN/Date): ;rfrh_i., n46L.n g//yh 7 Reviewer (Sigr,ature/KCN or SSN/Date): %gh / p[lpl 4.)

e CALCULATION WORK SI'EET G l3.18.14.0178. Rev. I ATTACllMENINO.t N/A ENGINEERING DEPARTMENT JillNO.t ENTERGY RIVER HEND STATION PAGE 78 or 73 DESIGN REVIEW CllECKLIST [REr.EDP AA 58) Yt$ NO NA 1. Were 'he inputs conectly selected and incorporated into the design? .O OO 2. Are the assumptions necessary to perform the design activity adequately desenbed and reasonable? Whee necessary, are the assumptions identined for subseyent resen0 cations when the detailed design 2ctivities are completed?.. .. G OO 3. Are the appropriate quality and quality assurance requirements specified?. .... O OO 4. Are the applicable codes. Standards, and regulatory requirements, including issue and addenda, poperly identined and are their requirements for design met?... ... Q OO 5. .ase applicable construction and operating esperience been considered?. .... O O O 6. Hase the design interface requirements been sationed.... ... O OO 7. Was an appropnate design method used?. ... O OO 8. Is the output reasonable compared to inputs?. ....... O OO 9. Are the speci0ed parts, equipment, and processes suitable for the required application?... .. O OO

10. Are the specined materials compatible with each other and with the design environmental conditions to which the material will be exposed?

.. Q C9

11. Have adequate maintenance features and requirements been specined....

.. O OO

12. Are accessibility and other design provisions adequate for the performance of needed maintenance and repair?.

.... O O O }

13. Has adequate accusit"'ity been provided to perform the in service inspection especed to tie performed during the plant life?..

........O OO

14. Has the design properly considered radiation exposure to the public anJ to plant personnel ... Q OO

15. Are the acceptance criteria incorporated in the design documents suf0cient to allow seri0 cation that design requirements have been satisfactorily accomplished?....

.... O O O.

16. Hase adequate pre operational and subsequent periodic test requirements been appropriately speci0ed?..

.... O OO

17. Are adequate handling, storage, cleaning and Aipping requirements speci0ed?..

.... O OO

18. Are adequate identification requirements specified?..

.. O OO

19. Are requirements for record preparation, review, approval retention, etc. adequately specified? -O OO

20. Hase environmental, safety, and seismic adequacy bco considered?.....

.... 0 00

21. Have recommended spare parts been speci0ed?.

... O OO

22. Hase nre hazard analysis impacts been considered?..

.... Q Qg

23. Hase all affected Design Documents been considered (e g. LSK's)?..

.. O OO

24. Has adverse impact to peripherial components and systems been cons;dered?.....

... O O O DESIGN VERIFIED h\\$ Ver f)ms Engmeer KCN DATE

G 13,I8.14.0 t 7[ Rev. I e CALCULATIONWORKSIIEET ATTACHMENINO.t N/A -- N ENGINEERING DEPARTMENT J BI NO.t ENTERGY RIVER HEND STATION PAGE 73 OF 73 CMNT ACPT INIUDATE b'O. COMMENT RESOLUTION Y/N l

a. Page 9. Correct $cction 3.7 to 3.6 incorporated Y

g g{y

b. Page.12.(Section ).I). Add Section A.2 to Ref.1 Incorporated Y

h flT th $}\\d

c. Page 13 (Section 3 2), change Ref. 4 to Ref. 3 incorporsted Y

d. Page 27 (Section 43), change Equation 19 to 23 incorporated Y

{}[

e. Page 45 (Section 5 4, paragraph $), change Tables incorporated Y

,h g $ 8 to 5.9 to Tables 5.1I and 5.12 l

f. Page 48 (Table $ 2), correct the tabl teferences Incorporated Y

gf% from 5 6 to f.9, and 5.7 to 5.10. h (T

g. Pages A3 and A4, define the subscript "cu" and the incorporated Y

sy mbol "Ra."

h. Page A7. change Table A,5 to Table A.4.

Incorporated Y h 6kl8 2. Table 5.11, correct the shape factor values and rerun incorporated Y 'he analysis. l

/ CALCULATION WORK SilEET ATTACHMENT ho.: A -N ENGINEERING DEPARTMENT JBiNo.: ~ ENTERGY RIVER HEND STATION Pact As or Al3 ATTACIIMENT A EVALUATION OF IIEAT TRANSFER COEFFICIENTS I I

G 13,18.14.0178, Rey, I e CALCULATION WORK SHEET ATTACHMENT NO.: A ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER flEND STATION PAGE A2 OF AI3 A,1 INTRODUCTION ne heat transfer model used to calculate the ampacity derating factors is developed with the objectis e of providing reasonably conservatis e :nswers based on and practical and familiar methods. The geometry of the fire barriers is out an idealized geometry lending itself to straight forw ard application of engineering principles and requires appropriate approximations, assurnptions, and engineertng judgment to allow analysis, in the model the parameters that are of secondary importance (such as the convective heat transfer coeflicient) wcre kept intentionally simple yet conservstive. The purpose of this document is to evaluate the heat transfer equations used in the model against more sophisticated heat transfer equations. For consenience the heat transfes equations used in th: model are reproduced in Section A.2 These equations are referred to as "DE&S Equations"in this document to distinguish them from the more sophisticated equations. Section A.3 describes the more sophisticated heat transfer equations that can also be used to perform heat transfer analysis of protected raceways. nese equations are used by Sandia National Laboratories [Ref. A4] and are referred to in this document as "SNL Equations." $NL equations account for heat transfer in cavities and external surfaces, and distinguish for the direction of the j heat now (up or down). In contrast, DE&S equations are derised from a simple equation for free convection from extemal surfaces. Section A.4 of this document provides a comparison of the heat transfer coemcients calculated by both methods and establishes that the DE&S equations predict 10 to 20 percent lower (i.e., conservative) heat transfer coemclent than the SNL equations. The impact of this conservatism on the final results (i e., ampacity derating factor)is less than one percent as demonstrated in Section A.4.. A,2 CONVECTIVE ilEAT TRANSFER EQUATIONS USED BY DE&S A,2,1 Exterior Surfaces ne equation used by DEAS to calculate the convective heat transfer coemeients for exterior surfaces is based on the free convection equation for air at atmospheric pressure. This equation, in its general form, is gisen below [Ref. Al): h,= #(AT/ ( A.1) L where L is the characteristic length, ATis the temperature difference, and a and n are appropriate constants as defined in [Ref. A1, p. 315). Rese constants depend on the geometry of the surface (dat or cylindrical), direction of the heat Oux (up or down), and now regime (laminar or turbulent). The exponent n is equal to 1/4 for laminar conditions and to 1/3 for turbulent conditions. In the DE&S method n=l/4 is used since it produces a smaller heat transfer coef0cient, ne constant a is set to 0.20. Bis value is the average of a heated upper surface (a=0.29), and a heated lower surface (a=0.12). Since the trays (and the barriers) always have an upper and a lower surf ace of equal area, using an average value is appropriate. The s alu, et is also smaller than the value for vertical plates (a=0.29) and cylinders (a=0.27). With the coef0cient a=0.20 and the egoint n= l/4, the equation used in the calculation is: lid h, = 0 20 (A.2) .L, where h, convectise heat transfer coemeient (Bruh h'#F) L characteristic length (ft) AT temperature difference ('F) ne characteristic length L is set equal to the tray width (w) for cable trays, to the outside diameter (d, ) for conduits, and to the largest dimension (width or height) for the enclosure walls. Equation A.2 is identical with the equation used in the ICEA/ NEMA standard (Ref. A2] to calculate the cable ampacities in the cable trays. 2

Gl3.18.14.0178, Rey. I CALCULATION WORK SiiEET ATTACHMENT NO.: A ENGINEERING DEPARTMENT JBI NO,1 ENTERGY RIVER HEND STATION l' AGE A3 OF A13 A.2.2 Interior Surfaces Where the heat transfer is from one surface to another separated by an air space (as in the interior of a barrier), it is assumed that there are two Alm coefDeients (in series) each denned by Equation A.2. Thus, for cavities (or gaps), between a racew ay and the barrier the heat transfer coefucient is calculated from: h"' h,,,, = I^'3) ~ h"' 1 + ( 2)( h,.,, ) A, where h,.,. cavity heat transfer coemcient (raceway to-barrier), Bruh R' *F h,.,, heat transfer cocmcient (racewsy to-cavity air), Btuh h' 'F 8 h,.,, overall cavity heat transfer coemcient (cavity air to barrier), Btwh R *F 8 A, surface area (receway), A A, surface area (barrier), R' The heat transfer coemeients h,.,, and h,,, are calculated using Equation A.2. Whet the w;dth of the cavity is small(as in the air gap between a conduit and a pre formed round barrier), the heat transfer coefficient calculated from Equation A.3 is compared with the heat transfer caef0cient due to pure conduction acrou the air gap and the larger of the two is taken The conduction heat transfer coemeient is calculated from: h ,,, = kl-(A.4) 'e where A, the mal conductivity of air. Brah A 'F t, width (thickness) of the cavity,8 A.3 CONVECTIVE IIEAT TRANSFER EQUATIONS USED BY SNL A.3.1 Exterior Surfaces The general equations for exterior heat transfer coemeient that account for surface orientation and direction are given below. These equations are used in SNL's heat transfer model for ampacity derating factor [Refs. 3,4]. The SNL method distinguishes between the upper and the lower surfaces. The equation for an upward facing heated plate is: Nu=b* I = 014(Raf E' for (Ra) s10 (A.$) k Nu %"I*!Il = 0J$(Raf'" for (Ra) >10' (A.6) k where Nu Nusuit number width of the tray, A w h convection heat transfer cocmcient, Bruh ft' 'F 4 thermal conductivity, Brut A *F Pr Prandtl number 3

e' CALCULATION WORK SilEET Gl3.18.14.0178 Rev. I ATTACllMENT NO.: A 'N ENGINEERING DEPARTMENT JBI No.t ENTERGY RIVER BEND STATION PAGE A4 OF A13 Ra Rayleigh number (R. =Gr Pr) where Gr (Grashof number) is defined below cu subscript for " cons ective, upper" ~f# Gr = (A.7) v where g gravitational acceleration, n' h D thermal expansion coemeient p = 1/(T, + 460) for air siscosity of air, h'.h v L characteristic length (l.=w/2), A The convection heat transfer coemcient for the a downward facing heated plate is: 0327tGr Pr)0I (l+(I 9/ Pr)U# UEEEE J A.3.2 Interior Surfaces There are two air gaps formed between the cable bed and the fire wrap. The heat transfer through the upper air gap is calculated by considering convection and radiation heat transfer according to [Ref. A3): 3,,, h,, x,,,,. 1708' ' Ra k Ra. . r1930 where x,,is the width (thickness) of the air cavity (ft). The square brackets are set to zero if their contents are negatise. The heat transfer coemeient through the lower air gap is calculated using pure conduction. Thus, Num " = / (A.10) k w here x,, is the u idth of the air gap (ft). A.4 EVALUATION OF THE IIEAT TRANSFER EQUATIONS A.4.1 Interior Surfaces The DEAS equation used in the heat transfer model for interior surfaces is derived from a heat transfer equation for exterior surfaces where a free boundary layer is ablc to grow without interruption from nearby objects. As such, the DE&S equation may be inappropriate in the confined interiors of a fire barrier where the scale of the confined space may interfere with free growth of a boundary layer and formation oflarge convective currents. Despite this, a more sophisticated cavity equation was not implemer ted in the heat transfer model for the following reasons: 1. The model has been developed to be sumciently flexible so that it is applicable not only to single raceways but alse to multiple raceways in a et,mmon tire barrier. The interior areas of these barriers are sumciently large to allow free 4 J

e CALCULATION WCRK SIIEET G l3.18.l d.0178, Rey,1 ATTAGio 0NT NO.: A ENGINEERING DEPARTMENT JBI NO. ENTERGY RIVER HEND STATION PAGE AS OF A13 deselopment of a boundary layer and large consecthe currents so that the equation for exterior surfaces are more appropriate than the equations for cavities. 2 De interior geometry of barriers are not ideal cavities for whkh empirical heat transfer equations could be applied without restrictions. In many cases equations for casities would be equally questionable (due tc uoect ratios or geometric irregularities) as the equation for esterior surfaces. 3. In many cases it is hard to distinguish between two distinct cavities at the top and the due to communication through the openings between the cables and the gaps between the tray side rail and the barrier walls. Where the width of the cavity is sufDciently small(such as individually wrapped conduits) so that heat transfer by 4. conduction is dominant, the equation for esterior surfaces is replaced bv the classic conduction equation. De heat transfer coemeient calculated using the DE&S equation for exterior surfaces (Equations A.2 and A.3) was compared with the heat transfer equation for cavities (Equations A.9 and A.10). His comperison is shown in Table A.1 where the heat transfer cocmcients for a typical cable tray are calculated, ne cable tray is 24 inches wide and has a 4 inch cavity at the top and a one inch cavity at the bottom. Heat transfer coef0cients are cal;ulated at two different air temperatures (130 'F and 160 'F) for a range of temp erature differences (10 to 30 'F Wrween the air and the cable surface) that adequately coser the range of conditions encountered in raceway banier installitions. The input data and the equations j used are identined in Table A.I. The results show that: 1. De heat transfer coefficient for the upper cavity calculated using *.ne DEAS method is substantially smaller (nearly 50's) than the heat transfer coeflicient calculated using the cavity equation. 2. The heat transfer coeflicient for the lower cavity calatated using the DEAS method is less than or equal to the heat transfer cocmcient calculated using the cavity equation for up to 23 *F aT(surface to air temperature difference). At AT=30 *F the DE&S equatior, yields about 10. '.iigher heat transfer coef0cient :han the cavity equation. ) 3. l De ascrage interior heat transfer coefucient calculated using the DE&S method produces a cavity heat transfer cocmcient that is about 10 to 20 percent smaller than the aserage heat transfer coef0cient calculated using the cavity equation. 4 ne convective heat transfer coef0cient is about 1/5 th of the radiative heat transfer coefucient. From this comparison it is concluded that the heat transfer equation used by DE&S is more conservative than the cavity equation. De DE&S method produces a smaller heat transfer coef0sient which results in a reduced heat dissipation rate through the barrier, and therefore, in an increased ampacity derating factor for the cables in the racew sys. It is interesting, howes er, to nuice that the effect of this conservatism on the ampacity derating factor is quite small due to the fact that the cor,scctive heat transfer coef0cient is in parallel with a much larger radiative heat tran:fer coefucient and the thermat resistance of the cavity is only a small portion of the overall thermal resistance for the entire raceway fire barrier system. His is demonstrated below: De overall heat transfer cocmcient for the entire barrier system is (referring to the thermal model in Figure 3.3 in section 3.0): 1 + 11. + I + (A'11) U U,sA,1 h,.,s + ha.,s r A, s ks h,.u + ha.u where 5 _________n

G 13.18.14.0178. Rev, I CALCULATION WORK SIIEET AlTACllMENT NO,1 A ENGINEERING DEPARTMENT JulNo.: ENTERGY RIVER llEND STATION PAGE A6 OF A13 A, surface area of the barrier, tY A, surface area of the racew sy, it' U oserall heat transfer ccefDcient for the entire racewsy banier assembly (based on A,), Druh ft" 'F U, oserall heat transfer coefficient for the racew sy, Btuh ft' 'F h,,, consectis e heat transfer coefDeient from the raceway to the banier wall (cavity heat transfer coefUcient), Bruh ft' 'F h w,, hidiatise heat transfer coefUcient from the racewsy to the barrier wall, Brah ft' 'F h,.. consective heat transfer coefficient from the barrier wall to the ambient, Druh ft' 'F hw a,, radiatise heat transfer coefUcient from the barrier to the ambient, Dtuh ft' *F I, thickness of the barrier, fl 1, thern.al conductivity of the barrier, Druh fi *F Differentiating the overall heat transfer coefficient U with respect to 'he cavity heat transfer coefUcient h,.,. and ignoring the second order effects (change in other heat transfer coefficients due to the change in temperature) gises: AU U ,$h.,s 'Al c = - ^- ( A.I2) U h.,s + h,as.,s h.,s + h,as.,s < a, i c c A reasonable estimate of SU<Ucan be ottained by using representative values for the parameters in equrtions A.li and A.12. From Table 4.6 of the in Section 4.0 of the calculation for a 24 inch cable tray in a r whour rated fire barrier: U, 4.32 Bruh ft' *F (U,in Table 4.6) h. 0.20 Bruh ftF e hw. 1.22 Druh It'.'F(h,, sin Table 4.6) h 0.36 Dtuh ft2 *F e% hw,, 1.19 Bruh ft'.'F t, 0,04I ft (0.$ inch in Table 4.6) A, 0.122 Druh rl 'T A, $.2 fl* /, 4.0 ft' from Equation A.ll U 0.46 Dtuh ft'.'F Corresponding to a 10 percent increase in the cavity heat transfer coefEcient h,..., the change in U (therefore the heat dissipation rate) is only 0 6 percent. For a 20 percent change in h,.,,, the heat dissipation rate increases by 1.2 percent. The input data used to calculate these values and the results are shown in Table A.2. The corresponding effect on the ampacity derating factor due to an increase in the heat dissipation rate can be found by noting that: l'Rna a = UA(T,, - T,) (A,13) n where / conductor current, Amperes R conductor resistance (ac) per unit length, ohm n,,, number of conductors per cable n, number of cables in the raceway T, conductor temperature 'F T, ambient temperature 'F 6

G l3.18.ld.04 78, Rev, I CALCULATION WORK SIIEET ATTACllMENT NO.! A ENGTNEERING DEPARTMENT Jill NO.! ENTERGY RIVER HEND STATION PAGE A7 OF Al3 Taking the logarithmic denvatise of Equation A.13 = (A14) Using the definition of the ampacity derating factor (ADF), f=-=- (A.15) Thus, a 1.2 percent increase in the os erall heat transfer coemcim (corresponding to 20 percent increase in the consective heat transfer coemcient) increases the ampacity derating far. tor by only 0 6 pen nt. This is the main reason why a simple yet consen stive consectise heat transfer model based on exterior heat transfer equation was preferred to a more a sophisticated cavity equation The incremental benefit uned from a sophisticated model is well within the uncertainties introduced into these analysis due to approximations <lsewhere. A related issue on the topic of interior heat transfer coefficient concems the surrounding sit temperature for racewsys in a common encim ure, it may be noticed from equations A.2 and A.3 that the heat transfer coemcient from the raceway to the inside surface of the barrier h,.,. requires calculation of an air temperature T, surrounding each raceway. As illustrated in Figure 3.3 in section 3.0 of the calculation, this temperature is intermediate between the raceway temperature T, and the barrier temperature To,,. Although the barrier temperature is the same for all d.. raceway (it is based on the total heat generated by all of the ractwsys)in a common enclosure, the raceway temperature T,is slightly different for each indisidual recev.sy due to the differences in their respective thermal resistances. As a result, the surrounding air temperature T, is also different for each racew sy. This difference, however, is nut very large. Examination of the Tables 5.9 and 5,10 in Section 5 0 of the calculation show: that the deviation from the mean air ternperature is well within 10 degrees. Bis deviation from the mean air temperature does not introduce non conservatism into the results. On the contrary, it introduces conservatism, though negligibly small, because the racewsy to barrier convective heat transfer coemeient sttains its highest value when based on the mean temperature. Any temperature above or below the mean temocrature pieduces a smaller heat transfer coemcient. This is illustrated in Table A.4 where the sensitivity olthe heat transfer coemeient h,. to $ ariation in the surrounding cir temperature T, is calculated for a representative raceway, As this table illuurates, corresponding to a 20 'F change in T,, which represents 50'b of the full range, h,. changes only 15 percent. Furtherraore, h,,,, attains its maximum salue a hen T, matchcs the mean temperature. Since the heat transfer method used in the calculation produces individual T, values slightly different from the mean temperature, the heat transfer coemcients are calculated on the conservative side (i e., smallet). This in turn produces a smaller protected ampacity and, therefore, a conservative ampacity derating factor. A.4.2 Exterior Surfaces ne equation used for the external heat transfer coemcient (Equation A.2) should be regarded as representing a bounding aserage heat transfer coefPcient for a raceway (or a barrier). His is implicitly consistent with the common practice of area weighted average heat transfer cocmclent. The averaging is built into the equation itself rather than applied after the individual heat transfer cocmcients accounting for different surface orientations are calculated. In the DEAS equation the exponent n (al/4)is conservatisely chosen for the laminar heat transfer mode as opposed to the turbulent mode which >ields a h!gher heat transfer coemcient. The coefficient a (0.20) is chosen to bound the as etage value of the coemcient for rectangular or cylindrical objects. For a horizontal cylindrical object a=0.27 and for vertical plates / cylinders a=29. For a heated horizontal surface a=0.27 (upward facing) and a=0.12 (downward facing). Rus, the coemeient used in the model(0.20)is approximately 25 percent conservative for cylindrical items,30 percent consenatis e for vertical surfaces, anu iiiatches the aserage value for a heated topbottom surface. The items considered in the model are either cylmdrical(condui ', or rectangular with two primary surfaces (cable bed) or four surfaces (cable tray barrier). 7

A G lJ.: 8,! 4.0178, Rey, i CALCULATION WORK SilEET ATTACllMENT No,t A - - ~ - - ENGINEERING DEPARTMENT & J0.t ENTERGY RIVER 11END STATION Lit As or Ai3 nerefore, the use of an average or a bounding heat transfer coemeient is reasonable from the point of view of geometry. From the point of view of temperature, the approach it also reasonable since the items of consern (cable bed and the barrier) are expected to be at their respectis e uniform temperatures. The widely used ICEA standard (Ref. A$)is based on the samc aseraging approach. The heat transfer equation used in the ICEA standard is identical to the equation used in the DE&S thennal model. Table A.) shows a comparison of heat transfer coemcients calculated using the DE&S method with the heat transfer cocmcients that distinguish between the surface orientation. From the above discussion it should be obvious that the equation used by DEAS produces a conserss'ive, i c., small, heat transfer coef0cient w hen applied to cylindrical items and sertical surfaces. Therefore, the comparison in Table A3 is limited to horizontal top %ottom surfnes. De comparison is between the agerage heat transfer coemcient calculated by the DE&S equation (Equation A.2) and the average value calculated using equations that account for surface orientation (Equations A.5 and A.6). The input data and the equations used are also indicated in this table. The results show that the DE&S equation produces 10 to 25 percent smaller heat transfer coemeient than the equations that a: count for surfa:e orientatior As for the effect of this conservatism on the final ampacity derating factor, it should be noted that th9 esternal convectise hea: transfer coefficient is in parallel with a larger radiative heat transfer coef0cient and it is only a small fraction of the overall barrier heat transfer coemeient. Bus, the overall impact on the ampacity derating factor is of the same order of magnitude as the impact of the cavity heat transfer cocmcient illustrateJ in Table A.2, i e les. ' hen one percent. 8

e CALCULATIONWORKSHEET G13.18.14.0178, Res, i ATTACHMENT NO.: A -- N ENGINEERING DEPARTMENT Jai NO,: ENTERGY RIVER BEND STATION PAGE O 'r A13 Table A.1 Comparison of Convection Heat Transfer Coemcients laterior Surfaces FilYSICAL CONSTANTS g, Gravitational Accel. (ft/hr') 4.17E+08 o, S. Boltzman C (Btu /hr-ft' 'R') 1.71E 09 c, Surface emissivity 0.8 cable 0 9 bamer

w. Width of the tray (ft) 2 H Height of the tray (ft)

IC x,v. Width of upper air cavity (ft) 1/3 x, Width of lower cavity (ft) I12 u PROPERTIES OF AIR T, Film temperature ('F) 130 160 k, Thermal Cond. (Btu /hr ft *F) 0 017 0.017 2 v, Viscosity (ft /hr) 0.728 0.786 Pr, Prandtl number 0.70 0.70 p, Compressibility (1/ F) 169E-03 1.61E 03 (sp/v )Pr 9 32E+05 8.83E+05 IIEAT TRANSFER COEFFICIENTS Method T.. Enclosure air temp. ('F) 130 160 ~~ T,, Raceway temp.T5)~$10 il140 150 160 170 150 190 AT, (T, T.). ('F) 20 30 10 20 30 Ts Barnerymp ('F) 120 110 100 150 140 130 SNL Ra (=GrPri 6.90E+05.1.38E+06 2.07E+06 6.54E+05 1.31E+06~ 1.96E+06 Nu, (Eq. A.9) 5.9 7.2 8.1 5.8 7.1 8.0 Nu,(Eq. A.10) 1.0 1.0 1.0 1.0 1.0 1.0 h. .) 30 0.36 0.40 0.30 0.37 0.41 h e, NO.20 0.20 0.20 0.21 0.21 0.21 h,,,,,,,,,,,, (Note 1 ) (1.20 0.22 0 24 0.20 0.23 0.25 rsE3S h, (Eq. A.2) 0.30 0.36 0.39 0.30 0.36 0.39 h,,,,,,w (Note 2) 0.17 0.20 0.22 0.17 0.20 0.22 h u (Nou 3 ) 1.05 1.05 1.05 1.22 1.22 1.22 ,Deviat#on (Note 4) 19% 13% 10 % 23% 16% 13% Notes:

1. h,,,p s the area ' eighted average of h,, and he, and is based on the total tray area:

i h,,,,,,,,, = (w h,, + w h g J / [2(w + H)] a

2. h((,,,[o, (DE&S)is calculated from Equation A.3 assuming that h,,,,

= he,a = h, This is equivalent to assuming that aT is symmetncal which results in maximum h,,,o

3. h,w is the cavity radiative heat transfer coefficient calculated from Equation 8 in Section 3.0.

4. h,,,,,,,,,(SNL) - h,,,,,,,,,(DE& S) Deviation (%) = h,,,,,,,,,,(DE& S) 9

1 8 G13.18.14.0178 Reg, I CALCULATION WORK SHEET 3YTACHMENT NO.: A ENGINEERING DEPARTMENT Jra m.i ENTERGY RIVER BEND STATION ~fAGE AIC OF A13 Table A.2 Effect~of Change in Conveclive Heat Transfer Coeificient on ADF Input Data (from Table 4.6 in Section 4.0 of the Calculation) 2 U,, Btu /hr ft 'F 4.32 h,,,, Blu/hr-ft 'F 0.2 2 h,,,,,, Btu /hr-ft 'F 1.22 a h,,u, Btu /hr-ft,oF 0.38 2 h,,,,u, Btu /hr ft,ep 3,39 t,in 0.5 k, Btu /hr-ft 'F 0.122 A., ft' S.2 A,, ft* 4 EITect of Convective Heat Transfer Coemcient on the Ampacity Derating factor ! i.%,,.)/h,, (%) 0% 10% 20% I(,I Btu /hr ft' *F 0.20 0.22 0.24 4/. Utu/hr-ft' 'F 0.456 0.458 0.461 ' A/ 0.0% +0.6% + 1.2% A(ADF)/ADF 0.0% -0.3% 0.6% 10

G I ) 18.14.0 178. Rn,1 ~ CALCULATION WORK SHET T g___,, ATTACHMENT NO : A ENGINEERING DEPARTMENT JBI NO.: ENTERGY RWER BEND STATION PAGE All OF Al3 Table A.3 Com'parison of Convection Heat Transfer Equations Exterior Surfaces PHYSICAL CONSTANTS 2 g, Gravitational Accel. (ft/hr ) 4.17E+08 o, Stefan Boltzman C.(Blu/hr ft' *R') 1.71 E-09 c, bamer surface emissivity [Ref. 6) 0.9 w, Width of the tray (ft) 2 PROPERTIES OF AIR T. Film temperature ('F) 130 160 k, Thermal Cond (Btu /hr ft 'F) 0.017 0.017 2 v, viscosi';y (ft /hr) 0.728 0.786 Pr, Prandtl number 0.70 0.70 Q, Compressibihty (1/*F) 1.69E 03 1.61E-03 2 (gp/v )Pr 9.32E+05 8.83E+05 HEAT TRANSFER COEFFICIENTS Ta, Ambient Temp. (*F) l 130 160 AT, Temp. diff. ("F) 10 20 30 10 20 30 SNL Ra (=GrPr) Based on w/2 9.32E+06 1.86E+07 2.79E+07 8.83E+06 1.77E+07 2.65E+07 Nu,(Eqn. A.5 or A.6) 29.8 39.8 45.5 29.4 39.1 44.7 Nu,(Eq. A.8) 9.9 11.4 12.3 9.8 11.2 12.2 h e, 0.50 0.66 0.76 0.51 0.67 0.77 h, 0.17 0.19 0 21 0.17 0.19 0.21 e h. _.... (h e, +h e,)/2 0.33 0.43 0.48 0.34 0.43 0.49 DE&S h,,,,w (=h, in Eo, A.2) 0.30 0.36 0.39 0.30 0.36 0.39 hw (Note 1) ,,1 30 1.33 1.37 1.51 1.54 1.58 Deviaten l11% l20% l22% l13% l22% l25% Notes:

1. hw is the surface-to. surrounding radiative heat transfer coefficient calculated from equation 8 in Section 3.0.

, h,,,,,,(SNL )- h,,,,,,,,' ( DE& S) ~ 2-h,,,,,,,,,(DE& S) 11

Gl3.18.14.0-178, Res i CALCULATION WORK SHEET ATTACHMENT NO : A ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAGE Al2 OF Al3 Table A.4 Effeit ofInterior Air Temperature on Heat Transfer Coemcient T,, *F 180 180 180 180 180 T., 'F 150 155 160 165 170 T.,,, 'F 140 140 140 140 140 h,,,,, Btu /hr-ft' 'F 0.47 0.45 0.42 0.39 0.36 h e,,,, Btu /hr.ft'.'F 0.36 0 39 0.42 0.45 0.47 h,,,, Btu /hr-ft'.'F 0.20 0.21 0.21 0.21 0.20 This table determines the effect of the air temperature (T.)on the heat transter coetScient (h,_,,) between a raceway (at a fixed temperature, T,) and its bamer (at a fixed temperature Tu). T, is vaned from the mean temperature to see the effect on b,_,, The values for Te and T,_, are assigned to bound the values in Section 5.0 of the calculation. 12

G13.18.14.0178, Rev. I CALCULATION WORK SHEET ATTACHMENT NO,2 A ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAGE A13 OF A13 A.5 REFERENCES Al. Ozisik, M. N., Basic # cat Transfer, McGraw-liill,1977. A2, ICEA Standard Publication, Ampacities of Cables in Open top Cable Trays,ICEA P 54 440 (Third Edition), NEMA WC 51 1986. A3. Tanaka T. J. et al.," Fire Barrier System Cable Ampacity Derating; A Review of Experimental and Analytical Studies", Sandia National Laboratories, August 25,1995. A4. Safety Evaluation Report by the Office of Nuclear Reactor Regulation,"Ampacity issues Related to Thermo-Lag Fire Barriers, Texas Utilities Electric Company, Comanche Peak Steam Electric Station, Unit 2, Docket No. 50-446," US Nuclear Regulatory Commission, June 14,1995. AS. ICEA Standard Publication, Ampacities of Cables in Open top Cable Trays, ICEA P 54 440 (Third Edition), NEMA WC 51 Ic86. 13

Gl3.18.14.0178, Rev I CALCULATION WORK SHEET ATTACilMENT NO.t B ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAGE BI OF B53 ATTACIIMENT B EXCERPTS FROM SELECTED REFERENCES

i. IEEEiiPCEA Standard S-l35 P 46-426, Power Cable ampacities: Volume I-Copper conductors and Volume ll-Alummum Conductors, I984. lRef. 3]

2. Memorandum from A. Adrian (VECTRA) to T. Dogan (VECTRA) dated June 4,1996.). [Ref 4} 3. Ozisik, M. N., Basic heat Transfer, McGraw Hill,1977. [Ref. 6] 4. McAdams, Heat Transmission, McGraw Hill,1954. [Ref. 7] 5. ICEA Standard Publication, Ampacities ofCables m Open-top Cable Trays. ICEA P 54 440 (Third Edition), NEMA WC 51 1986. (Ret,8] 6. Safety Evaluation Report by the Oflice of Nuclear Reactor Regulation, Ampacity Issues Related to Thermo-Lag Fire Barriers. Texas Utdities Electric Company, Comanche Peak Steam Electric Station, Unit 2. Docket No. 30-446, US Nuclear Regulatory Commission, June 14,1995. (Ref. 9] 7. Rohsenow Handbook ofheat Tramfer, McGraw tiill,1973. [Ref.10] 8. Incropera P. F. and D. P. Dewitt, Introduction to Neat Transfer, John Wiley & Sons,1985. 9 Memorandum from L Ester (VECTRA) to T. Dogan (VECTRA) dated 1/9/97. (Ref.12]

10. Memora.;dum from A. Adrian (VECTRA) to T. Dogan (VECTRA) dated May 31,1996. (Ref.13]

I I. Neher J. H., and M. H. McGrath, The calculation of The Temperature Rise and Load Capability ofCable Systems. ALEE Transactions, vol. 76, Oct.1957, pp. 752 72. (Ref.151

12. Holman, J. P., Heat Transfer, McGraw Hill,1963. [Ref.16]

13. Memorandum from A. Adrian (DEAS) to T. Dogan (D"? S) dated August 15,1997 [Ref. 24]

14. Memorandum from L. Easter (DE&S) to T. Dogan ((DE&S))

dated August 15,1997 (Ref. 25] 1

Gl3.18.14.0-178, Rev. I CALCULATION WORK SifEET ATTACHMENT NO.: B ENGINEERING DEPARTMENT JBI NO.: EMEW RIVER BEND STATION PAGE B2 OF B53 1 4 lEEES135 IPCEA Puh. A P 44-426 Power Cable Ampacities 4 Vokame I-Copper Conductors i o INSULATIONS: IMPREGNATED PAPER i VARNISHED CLOTH RUllER AND THERMOPLAST!C ASSESTOS. VARNISHED CLOTH l INSTALLATIONS IN UNDERGROUND DUCTS SURFED DIRECTLY IN EARTH IN.REE Alt IN CONDUIT i 2 i s -.e e c e av Insuloted Power CaWe Engineers Aaeociation 1 j l me" _.e Insulated Conductors Committee j EEE Power Engineenne Sessety J o + 0 k 1 Poausshed by Lassesse of Desmama and Caseemse Easmessa. las 344 Eass eta St., Mew f eet. NY 18017. USA Thsd Pename 1964 2

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i j Gl3.18.14.0178, Rey. I CALCULATION WORK SHEET ATTACHMENT NO. B i ENGINEERING DEPARTMENT JBI NO. ENTERGY RIVER BEND STATION PAGE B5 OF B53 i t a+ = se rei we. e,,iwi., to siste %,,,, i e l To: Tahsin Degan l l Frosta Aaron Adnan Danea 6/a/96 l j i Comses, VEC'mA Tectinosomes Inc Time 3 06 PM l The futtoweg is provided in response to your fas of May 30.1996 Con 6rmanon t Conarmauon of nem I can be enade by Lee Easter f f

2. Conannanon o(nem 2 is provided m the attached marked up table.

3 Con &ranance ofitem 3 was made ey pner faa dated May 31.1996 Informanon. i j i

1. Informanon on the arungement of riceways is provided in the emacked cross sectean!

drawirig and m the photos hang sent m the road. I went a the $sid and took eme photos j to help you vtsuahre what the made of Ul and U look the.. Call me if you would Lke I addttsonal mforT. acon i i Phos l' i e Viewinsidi Ul (Thermo l.ag 3301 panel removed). Shows s' x 1E' troys.,v.~ aly 8' to IT'spirt moussed on urostrut supports Thermo-tag 3301 panels are roounted on j separateuru evt franswert i i Photo 2: l i 1 View of wes and ofF.iunnei snowing a small pomon ofUl barner Cet), but semmly' shamng a co sparable trecundans tram) raceway syvem iPour :: ached trays with unistn : I l suppona TM arrangement is the same as what is made1U1. Photo 3. 1 1 i View of Stand y Service Waser Cochag Waser Tower chase. Verneal ueys include ' + ITH202A 173':02A ITC:04R and ITX204L Rainuvelyuncluuered space: l 1 l n 4 j l l l J l 8 I i i i e i I d,3 's N== u a w.,, l i ~

a. G l3.18.14,FIV8, Rey, I CALCULATION WORK SHEET ATTACHMENT NO.1 B ENTERGY ENGINEERING DEPARTMENT JBI No.t RIVER BEND STATION PAGE B6 OF B53 ow im esse se i

w. e,. s,,.e,

rs .tsim,, e i h I %,o t- .ll } 3301 enessedtroye (ui O.namell The only irays that can te.seen a i ITH20lR. JTC002R and.lTX202R. and the only conduits tient can be seen in the-Thermo l.ag 2301 bosmierna are ICK60cNM2, ICC270NQ, ICK600ND2, : ICK600NA7 and ICC70W. Note The condurts and tisys are not wrapped separusty l i PhotoA mall foDow in the med I hope they ed be helpM 4 l.', I hous pensi = U2 moh + 1/3 nacer O taches2. Information concernes annienal thset s: 3 hoes panel = 1 mch + IM uncW. O mebes. 1 1 hour preformed halfreund = U2 mch - US mehl 0 inctes. j 3 hous preformed halfround = 1 mch

• 114 mcW. 0 inc.w

( 4 3 Call me E mors accurate mformanon is requred.The north wd ofF and 0 tua 3 mounied to the conduit so that gaps and spaces were not flBe 4 a mansmum of 114 mch g*P on orw side of the condiat. assunn j 9 i

5 NA I

i ,f Good queroon Drawng EE.190A md. cates thatJunction hem l*22072 u==. -t 1 i I Q condus ICX9110A winch runs tarough the F tunnel tojunczion bow l*22104 'I,h io. mdientes that l'22072 is located m the F-tumwl but consams no cables a FDM3 'I canected te l*20272. PDMS htts cables IC3HNOX409 andlCSBNO '\\ l l'20272. We cannot ascertam at this ume wtach nuedwr is cortset but w saa l that theseis only onepunction bou at the end of the condaan ther f assume inenuned above as the contents of l'22072. f-e ort, use thertwo cables i l1 Inforvaanoa can be peowuled by Lee Easta i i t .i i

Thanks, f

/

/

n Aaron Adnan ml (504)331 4303 l i i* l r o s s :r ts g, ! 4.- 6

G13.18.14.0178 Rey,1 CALCULATION WORK SHEET ATTACHMENT NO : B ENGINEERING DEPARTMENT JBINOa ENTERGY RIVER BEND STATION PAGE B6 OF B53 ea+- m erew

• o esea sn,.

.in m emm,, i l a 7 f I l Photo 4: ; lj i l View too maide of cooling tomr chase lookuig a the opsaieg seen t!2. Thermo-Las i i 3301 enenset troys (ui G-ammen The only trays that can be seen in the area are i 1TH2012. JTC202A and.!TX2C2R. and the onry condists that can be seen in the Theren l.as I301 boxed area an ICX600NM2, ICC270NQ ICK600ND2 : j ICK600NA7 and ICc70m Note The conduas and trays are not wrapped separatory e i Photo $ mall fdow in the maal. I hope they win be helpM I:

2. Infortmason con ernes masenal uuckness was inermaed per telephone conversanon as; 1 hous panel = I!2 mch + 1/3 inch. O inches i

3 hoes panel = 1 mch

• 14 inchi. O inches.

4 I hour profortned half %und = 1/2 men t/t inch /. 0 inches. 3 hour pnformed halfround = 1 inch

• led mcW 0 inenes l

I ne nenh wd of F and O tunnets scales between 2' 6' and Jf O' on drawmg EE.37Y. Call me E more accurate mformanon is requred. I The Thermo 1.ag 33051 preformed half rounds are rough shaped andanstaliance was dry 4 mounied to the conddt so that gaps and spaces were not Alled h is reasonable to assurne a mamemm of 1/4 mch gap on one side of the con &st. i i i ,5 NA I I i l

1. }

7 o ,6 Good question Drawing EE $90A indicues stat function bes 1*JB2072 is e-

• to y

I condus ICX9110A wissa runs tarouga the F tunnel to Juncsaan.,os 1*JB2104 FDMS d indarmes int l'J82*l72 is located m the F tunnet but consaias ao cables and has no a connectsag canant. Bacetrackmg FDM3 idenu6aa 1*JE2104 connected to ICX9110A canentadto 1*JB0272. PDMS hsts cabies IC5HN0X409 andlCSBNCIX41D m I'JB027.* We cannet ascertam at this ume wtach number is correct, but we saa assume l that Owee is only one panenon box as %e end of the condurt therefort, use thenwo cables 4 .cenuned above u the comerus of l'JB2072 i l p inrarmanon can be pm by 1.ee saster I I

Thankt, f

m

n Aaron Adnan,

l (5041 341 s303 l i e 1 I l l- \\ l ' s. 17 t. g,.. 6

G13.18.14.0-178, Rev. t CALCULATION WORK SIIEET ATTACHMENT NO.: B ~ ENGINEERING DEPARTMENT JBI NO.: l ENTERGY RIVER BEND STATION PAGE B7 OF B53 l ow im ene- .so, w i., w i..., to etsie. w .u j ; i I TEue! Deque C ";- j; 1 llaasemy Fri i Aron g Encionare Descream , E.34Y Detal 'l l CardgJ Zoest t

Ut 1*JR2072 V FT1l

• pNoria wee > 2m but M &

RJ BL & 5ee ' } 1.w .ule6tm e

• A8' i

stTannai F-becom) asseos. a fL r=*

442 7 A.X ICEdesstAJ

• 10' h fie, i sucA.asass x 8 t hagh t.12S ft ibag

' Artack t. pg.4 1CKAOURAd T.

• sa 8*** *d of2 1

tr'randen a.a.- Ap,sa,% i i 4C3r,0004ste= iuve atoso, i 1 2... # ICXPl W A 4 t' 6 emed 6 dCW U 1TC202.- 1TH20GL V 1TK.202 iv l tTX200R " .t.,*2', b I Ch,300NA7 "' Fili ,' Along riorin wiu l 2.aded bos tasste &M. BJ I nour 1CK600ND2 # of Tunnel *G-I bosorn) approx. 6 fu wide .)TC201R: P x 8 fl hngh x 45 8. kmg i !TC20R ! i ITC20R i # vittiWC" ' l l1TC204E'in ma=_ ; ar rat eF"'***18 j i j ITH20ft, # I j ITH202Ri w 4mue+cua se l m. at; w.e s=*4*' m Ayver se ceAtt !' 4 3 W.06&' ** l l I l ITX2011 # ITX2921. # ITX203R # U34 ' tTC0448 l C16i Troys 1TC0443 & Saa 4/2 ALAanen FAX } SF i-houi ! ITLot3 'v f_ ? ITLot23 i t'3b. i 1TCD415 - l C16l lTrevs ITK0013. See 4/2 A.Aanan FAX. N . 3 hous ;' ITXDotti IITKD02 Band ' ' 1 TKD025 ' - I ' ITC047B STD l Var.: magne comens coveres BA '3-hcastl l wist prM half ' I c r i

sTDi v=i ane. m - - o=

oevered wah pensis. Ih cris,w I i i 1 I i i i i a I 9043's 1439IKp0624 Ca ZW9PL.2BTS ta11XTD+CEL 6 q p tfy SE. M M6e,. .i! i i 7

8 -~ lI mll g s..s. 2_'_ = -, -,e CONCITE1E THICKNESS : 3'-0* APPROM. E u j ~ 's .e m, lc (. t 9 } N F-- 7 'r m n s= = uniS1Rur et1NoERs ' ~~ d En p n r g W g q E' THERMO-LAG U C r.n M M Ho o h k 3 q -- -- ESSENTIAL CABLE. TRAYS f Og W ~- s APPROxlMATELY S INCHE DISTANCE BETWEEN CABLE 1 RAYS 'Z a a== M M g -- ----- - UNISTRUT CABLE TRAY SUEROBIS ARE APPROMIMATELY $ INCHES WIDE. M ~ l THERE IS APPftOXIMATELY 6 8HCHES OF CLE R NCE 94fiivCCW Ttif SUPPORTS AND' - - g ,,g THE THERMO-LAG MATERI AL b d ~ . p - - ARE USED FOR ENCLOSURES U1 AND U2 g ,C n ce ? ~ ~~ Z I ' - _-._.. : r__ ~_ ,C 3, ip 2 x a oo

i G 13.18.14.0 178, Rev.1 I\\ CALCULATION WORK SIIEET i NTTACHMENT NO. B l ENGINEERING DEPARTMENT JBI NO.: l EmW RIVER HEND STATION PAGE B9 OF B53 i r t 4 BASIC HEAT l TRAN5PER ~ i M.Necati Dzis.ik O'Cte550r Of M8Cnanical i anQ AerCSDaCe inQineering l Nortn Cavoana 5: ate univers tv j j McGraw Hill Book Company { New 'Ces e $1 60wis e 5in 8 ancisce t

• .calanc e dQgota e Owlleider'

.0mannet0 wig e %C600m e M40r:0 Ve siCC e Montreat e New Deini Damama e Agng e $30 # w10 4 S.nga00's e Sv0ne, e ton,c e TO, Cat: 1 i d ? i s i I

G13.18.14.0178, R2v. I l CALCULATION WORK SHEET ATTACHMENT NO.: B ~~-2 ENGINEERING DEPARTMENT JBI NO l ENTERGY RIVER BEND STATION PAGE BIO OF R$3 7 Then En 1154 a wrmen in trw form e e h,lT - T l i a ( 1.'l whah is analogous to E4.112) for conveceve neat transler The approssmate. simpe espression for radative. neat Rua given De Eq ti.*l is appiicaese onis if

T - T tT e 1 i

i i 14 COMBINED CONvtCTION AND RADIATieN When heat transwr et consection and es radstion are of the same orcer of magnitude and occur simultarwousa.a proper anaivse of heet transur es taamg into consiogration the interaction tutweeft the two modes of hast transtet e a serv compiacated matter On tne einer mand uncee verv restrwtive conditions the neat transwr pv simultaneous convection and radation can be determmed approsimaisiv Ds linear superposition of heat Auses due to three two differtat, modes of heat transler Consider. for esampia. the now of hot combustion products at temperaturt 7, through a coowd duct whoes malls are kept at temperamre 7, Comeustson procuets such as CO,. CO. and H 0 absort 3 and emii radiation Therefore. tu heat transler from the ps to the enannel maus a es both convection and radiation. and a proper analvsa of tha heat. iransfer proews requires a simultaneous solution of convection and radation prooterns. Dut the is a strs compucated matter if the radettve component of the neat hut is noi sers stronk the total heat aux g from the ps so t w wall iurtaa m.is tw comovied approsimsien os takirit the sum of the convectivt nsat Mut v. and tiis 'adiative nest Ras g, as a = q, u. ll 8) Wnen the relations noe the consective and raciative peai Aus given bv Eos. (121 and Il.h are mireauced mic Ea i14I we hno e = n,t T, - T,6 - n.1 T, - T,8 = In, - n.n T, - T. ) or 4 = %I T, - T,) (1 941 where the ennem.rt cemetrien awr ransation nrer.trennter coeftwar h,, a defined as 8f.

• n =*i.

(1 96) l 10

- ~ _ _ _ _ _ _ _ _ _ _ _. _ _ _ _ _ _.. j GI).18.14.0178, Rey, t [ j CALCULATION WORK SHEET l ATTACHMENT NO, B ENGINEERING DEPARTMENT JBI No.: UNTERGY RIVER BEND STATION PAGE Bil OF B53 4 + l 1 I il l 1 so ta.: 1, l tad the toesianu C, and Cg an Gewramed kom t-newtaos of [g. (906 44 iWini { C,. h tT. - T.) l C,. *r :;r. ~i., i the. t. .si .si, i.e. ri.i. to ...e., --e. iun j ri..,4 er.(;- i)..r.p -;) I The total rinnal tes to Q throush the 97 hen si nat pes 2We 8 e el. c5., l kom j i o..., . -s 9.e... ....C, ~u, I and enne C, a wesinume kom Le tMisi== eeum l 0 4n k it. - T, s.,,,I' (N2i we now ttai lor no nasi se.orsion tne sou6 mesiiraasier rou Q e moeorneeni of l po.u.a l I 3-4 Th8 CONCEI'T OF THERMAL RESISTANCE e l In tna proewms of one<sunensiotuL steadv state heat conduction in 6:inw regioru l for the specui cans of no haat generatest consual thermal conducuvity, and j pmenord 'emperature at the two bouncansk the total heat transwr rate Q througa tne sold can es rvtased to ine awraisi resistence A of the Sohd in tne form f i Q = ST (Mel 1 l 7 ~ Q = total heat trans6er raw through soluL Stu/h (or W) I where 47 e dinerence terween wmperatures of the two pouncary surfaces of j the region. 'F tor 'C) i A = tturmal resuianas of schct b 'Fittu lor *C/W) l The therma 6-resmunes conarpt e ananogous to the 4tectne resstance conapt i deftried by the rttation i potentnel daSertnce ( M S) k Curmat. 4 enctnc rosasunse i k 4 l j t i li 4

G13,18.14.0178, Rev. I CALCULATION WORK SHEET ATTACHMENT NO. B "-2 ENGINEERING DEPARTMENT J81 NO ENTERGY RIVER BEND STATION PAGE B12 OF B53 E 1 t=. - 5 _ _ _ _ si.am ti. 51 Cimarly itw total heat hem Q u anaiosous to etw encers curnni and tne i temperatun ddlemace to voltap ddlervene. Tbs thermal resstram conarpt a used a maav engmeerms applacations We acre esamme the determmation of si j ttw therbal resstaases of a sist. a hollow evimeer and a hollow spewru. Slac d Cornicer tne one.dsarnssonal steadv.staw heet conduct.on throusa a sue in itw region 0 s a s 1. haves e constaat thermal conducuvity & and pounoares at i s = 0 and a - L tept si vedorm waperatures T, and Te respecuvely The solution of the protum was consadored previously e Eaasspie 31. and the heat Bus g was given by g = 4(T, TJL Then the total heat-transer rate Q througn an area 4 of the sine a given Dy .i i r 0 = s, = u - ri. r,- r e where tne #8wanist resuasswe c(taw sese A u de6aed as it A.,,, = g () 68) Moisow Cylencef %e cow consider one.dspensional swadv etate heat conducuos througn a hob + cvunder m the repon a s e s 4. navang a constaat thermal conducuvity 4 and bouncaras at t = aand r = 6 kept at undorm temperatures T, and Tp respecuvely i l The total heat transist raw Q throupa the cvisneer over a length N of the l cvimoer can ce octamed from ine soluuon of the same proewm given Dy Eq. (3 34) 3 u Q= , g ( T, - 7,) = '," (147el when the taerais# resmaare e/ taw cihaser A,,, ts de6med as at Am" lM16) The thermal russaance grven ey Eq. (M761 e now rearranged a a form sunder I to snat for a slaD: , to 16.si,16 - elin Cae#.2aaN), L,,,in f 4,i4),g aan i.-.caut u, - %$ S,, = 12

G 13,18,14.0178, key. I e CALCULATION WORK SilEET ArrACHMENT NO.: B ENGINEERING DEPARTMENT J HI N O.: ENTERGY RIVER BEND STATION PAGE B13 OF B53 d 3t t i itt io L L i L L 1s 14 a 22 It 21 2 4,' i s '. ",::3 53 5 l' 5

3 y a}

}

a y I ge e's i e' d i // J 3 ])i ]3 i 3 l j 'L L ! L t s i [. t_,' 1,'3 13_ 23 I 23 3 } s 'e lE$ [$ $ C f*lI";I"! I"

• 5,#!

1 i is as-as : 1 15 t 't k 2 2 .o r rJ p , :n n.. : ; i + k p ; t 's sa :a' at a i E hh 't 2, 2 lA}] j'[ l e, 8 ) j 2 -l }LI.,lI.! ' I. : lf f j, q

{'

i.f i i. S II 3 I 4 i I 4JJ }.J i !! !! s1 .c t Td# 'A 2 r a.ii di,ll llillilI:l:'j i is a u ; c. ; = 6 euman. Ms-13

G l3.lS.14.0178. Rev. I CALCULATION WORK SHEET ATTACHMENT NO.: B ', ~~~~~ ENGINEERING DEPARTMENT JBI NO 1 ENTEROY RIVER BEND STATION PAGE Bl4 OF B53 1> a - -,a--,. %..., ~ 30, Fe n

== ?- -i. i ~ 3 4 4 a - -e ,e,. 4 ,e o:1 .' j h i [ii[ 2j / a/

t 2

o n..n..... 3.,,,,, c a.,h oa '2 2 = ~ '- e . ~, ,,,,go, a 4: = 4 - 4. 4 n:.m tactors trom dA, to the areas 4 o = 3. 4 5. O asThen ihr www factor are eo ,oie

f.... = F...... - F.. 4. - F.

.., - F...... e,, ?Ae I12 21) trom the www. factor enart given av Fig 12.:Hm ste www factors on 4, . hence the www factor F..,.., m oeiermmed M isome.e 12 7 Dewrmee anam.cau, the *we factor freen as e=suse to a cirner esk 4 emianae & as saews,a Feg (;.?of raesus A mnch are parabel te esce otaer and pesa,emma at a 41 surtsee d4, m 14

1 l Gl3.18.14.0 l'18, Rev. I e CALCULATIONWORKSHEET ATTACHh1ENT NO. B ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAGE 815 OF B53 m 8 . -,.r,e TASLI 11.'s (muwee of Vaque Sudacese Maieral 4 sture 4tortio6 Boer) 100* F 0 96 Clotn t)*C 0 90 Paper 100'F 09) Srst Led 0 93'C 09) Red. rougn 0-200'C 0t M 95 Ceram e E&..ren. art saaed 20*C 0W Eartnenears malw YC 09) Porcemin

=C 09:

Satractort taca 93'c 0 94 Clav hree IS8'C 0 91 Concreta, rough 0 9)'C 0 44 Gu 100'F 0 to Glass. smooth IG)'F 0 94 Ice 32'F 092 096 Leccueri Buck 9)*C 0% Blact. on won o 9)*C 0 373 Char. one tne coat on iarnaned copper 9 3'C 0 64 Cieas i.e coats on iarnened copper 9)'C 0 *: w hue 20* C 0 t? w nue nean coat on trngai dopper 9)*C 09) Loreeuch 0 00) in or inster IW F 0 95 Marow ugns gres potered

• C 09)

Meists 44ummurrt potened 100 F 0 04 Aivminens c Waed 100'F C.20 Seask poannec 100'F 0 10 Brant endued 100'F 0 e6 Chrernaurit potaned la)'F 0 08 Copper. possned 400'F 0 04 Copper canormed 100*F 0 18 Copees. osmaed 100 r 0 *) Coppe' b4sca osedged 100'F 08' Gold. potened 100'F 0 02 ItoL poisned 100' F 0 06 Irost osmund 100'F 0 74 Laan. pure potened 100 F 0 0$ Laaa.gret os.amed 100*F 028 Lasa unond est rougn 100'F 04) Mertues 100'F 0 10 M otvedenum. potened 100'F 0 06 a 15

CALCULATION WORK SHEET ATTACHMENT NO.: B e-ENGINEERING DEPARTMENT J ai N o.: ~- ENTERGY RIVER BEND STATION PAGE B16 OF H53 1 1 i I 1 I-i l HEAT TRANSMISSION 4 l W1111AM H. McAD.015 l 1 i Nosasr of Chead laeent usosas.aam Imauw of Tanaam ~~ .k.... 4 Sooswed by the Commwee on Heat Traumsssson Yanonal ftsseam Councst ] 1 i Tatso Como* 1 McGRALHILL BOOK COMPANY NER TORA TopONTO 1ONDON 1954 W i ij 5 i i s 4 i 16 4 ,1

- - - -. ~ -. -. - - - - - _ _ a 4, a Gl3.18.14.0178: Rev. I ? CALCULATION WORK SHEET ATTACHMENT NO : B ENGINEERING DEPARTMENT JBI No. ENTERGY { RIVER BEND STATION PAGE Bl7 OF C53 l ea I l8 NEAT TRANSMISSICV } Wedis ar.d Rvoera measured contact or Junction coefficiente a. j setween metal ciocats hating surtace temperatures li arid 's l A =,- .0ai4 } wtuct increased with lacreased pressure on the bloess Tor etampie i with rougP saununum at 300*T. A. ranted from 300 at 0 gause pressure to 11.000 at 3 SN) poucos per souare inen At 300*T and a snen pres-sure. A increased as rouganees sectosaed Brunes and Butwand* report cootset coefhenents for mactuned Joents Counsaae and Fishenoeo' measured contact coeScients for metai b.oets of steel craas and alununvo ground to vanous cet ves of roush-nors n,th sat. rpindie oil. or g:ycerol in the voids si the junction Pre - sures ranged from 19 to 800 pounds per square inch and a ransed trom SSO to 12.500 An interetung ineorv = as oeveioped for predicting ron-i f tact coefeieau trom funoamentaa iactors Heat Meter. Over all resistances ior structures in sernre mar r* { otternused by the use of tne seat meter * " wtuch measures the temper. ature drop through stie isnonn resistance of the meter Be simuttane-j ouair enessunng tDe temperature gradient through the wall itself the i thertaal conductJ11ty of tee whose a all or of any tager may be measured ) l i l even thougn the use of tae :neter recuees the test now compared with nat from the care wall Precautions saould be taken to secure data ( under steadv condiuons Van Dusen and Tinck81 report expenmentailt l ottermined over all thermaj resistances ei a number of walls and aeso g j indmoual resist nres of trie various components:in generas fairit satis-j iarterv agreeroent was iound between the predicted vaJues and oceerved l e i

• esuits i

UNticant !NTENN4L GENERAT10N OF Etaf IN SODtIS FTTE R2af DI35tP4T10N AT ONLT Clet SITRgaC1 Mat Plate-Consider a Man metal piste toeauy insulated ewept on one i l i ( Hesi is gtnerated uniformir tarougacut the p. ate ey steadv sunare l Row of eieetnritt and is cassiosted at tPP coider sunare ne tran1:er to a I ooinns liowd Let 9. represent the totaJ generauen in Btu per anur 3ene, the generation is uniinrm thrournout the thicanons. the aural neat L autrent (, at oistance t trom the ad anaue sunace as g. ,, f;. -u j lategrauuu. irum y = 0 at.r = U to y = ge at = so gtw ?* * ~ (2* l +s i ' P av 4 4 i t 4 17

l Gl3.18.14.0178, Rey. I { i CALCULATION WORK SIIEET f ATTACHMENT NO.i 8 ENGtNEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAGE B18 OF B53 i . c...c= i.., i. i.. . i o.. i nem u.......... ,,,,,,,..,i,, g ICEA STANDARDS PUBUCATION.WO. P 54-140 NEMA STANDARDS PUGUCATION/NO. WC 51 [ 1' .o C c 1 ~ s- < a l ( ) i 1 Ampacities. of Cables l in Open-top. - Cabid Trays i F C)I ~ l i l s Q 1 1 Y ~ a (C Q) @ ^ g' D manomat attet=c.u. mmvencTunsas MSOCIAM006 e 2191 L STREET 4W.WAS.GMOTOK O.C.3 INIULATED CABLE EWCalEERI 18885171583 a 88 66:

p. south vammouTw. m essee l

1 i I8

Gl3.18.14.0-178, Rev.1 e CALCULATION WORK SIIEET ATEACHMENT NO.: B ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER BEND STATION PAGE B19 OF B53 g p,iverraa tese6 les e.se.es a gesame a vastan weseeeeeeee-416 tes,64ta n 6a is W P-64dd0 ,qgga,g gg,,,,, Seco 8 -0 S.1J Camus Wilm Joemsees Caseensaare femme 4 8 tiu ener-was of Ms0 wee - Aasi'ACfTim OP Mes WOLT namn m ammMme amm wort, nuese um emummmr ammmeuung COpen TNPLa s camiJ wgyw is 1oT ene se mannen er emme,um n eet, s,, McWTW cosapucTeste 4 pdhugg 3033, gg egggg ggggg gg gggg from fasse ad, est swesame seen eqe peams au> Commune '"'and been er Came ammers ese same ammed te gene fiqua Tabau k3; ter 8ub C.m =

==

g. " La u "

me owes mass em man tres temas M w th 9 , e s e 12 G es ,1,3 0 8 e is t as t3 it e e e s ee 3i a o g is 8 GJe as = is se se renas bd 6 0,s el 33 39 *, = WACTT1EB CW W WOI.T 00*8W Sl880L5 COssOUCTom.nActETE CA.R e as es to es as ja L2 3 Se en 71 .o si es a 4 11 (2* 9e si in se s.4 8 IM 888 l 88 88 18 ,2:.=,,,

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Gl3.18.84.0178 Rev, I e CALCULATION WORK SHEET ATTACHMENT No.: B ENGINEERING D. ARTMENT JBI NO.: ENTERGY RIVER BEND 4 TATION PAGE B20 OF B53 l l ,e..- . e........... - ~ ~ - I .i ICIA p.N NEMA WC $1.1984 i pn0s 17 I d } Appefwns 3 AlePACfTY TABL23 4 Wemme used with hanspe's Beuemen la pas M-the Gnum.ag venus mese assagams e to semanas asse e as ist. senas a eastps e pape, em A,,mmens A. Saferamus I. 1 t e e=ormd smoverman tuas womsdor es eWemus tur em voy a s.eantftal IT

s. Om (v).

0.,0 m m,,.m.. m _. .iens gemmer mee e,3. imy a tem mes 3 psens Tts enemus is amenema ler 34 assem a essaymes.) i a T = Tsummerusse eup ormen est. estrum C. l Seem>tesumme sammam a i.mm/98vt* e .= 0J30 m 10 **, efimmese murums esnunevey of canne mass ame yey eartase e e 9 0 8 maams en esse se wors. The e su amennes everugs ofIAs esp Caett her. e fees ame emmen mass ans uvy swimm e. - (' " ; b ") n - a ..m.,, .es _ ms _ ~. - se snai eva mas, mas mess amanse ere em einense. f)w seemme e naamma e41. (5), sei. ane m p,en er Samois a Refoemre i rummane .. ins to im.vis samme et Q ser vensus esvimme use fm one e ease hr enmunaung ene amenauen given a Taase vi ww 3 36 et taas aussumisma }' O e s free re 3 913 i0 33J 3J31 83 30.0 4 2.427 v. 20 66 4 1.7ta 2.3 33.3 ,I 4.37? 30 100.0 / .. - e _. ~ es e tasm.se w assus e em 9 I e

• • 2 PetE. E3e i

20 4

Gl3.18.14.0178 Rsv. I CALCULATION WORK SHEET ATTACHMENT NO.: B NGINEERING DEPARTMENT JBI NO.: ER

==h f f RIVER BE..N.D. ST_WN..O.M_ATasPAGE B21 OF B53 e -- - - v m, g, w,,,,m g g i

• • • ametow. e.c. m

\\,,.. 3arriv fyatUAff 0W tv TWF Orrf tf or NUttfae eraEToe afa utatteN awesetty fifUf t aft a7ED to TNftpo-! Ac Flef RaDDffet III41 UTf t f 7fff firETRfC COM8a#V CDm4NCWF praK STTAM ftfrTRIC TTATION.UNft 2 00ctrT N0 (c.44g INTo0 DUCTION in.)une 1991, the Nuclear Regulatory Coasts (527) found various areas of concern regarting the use of Therm 1on (NRC) Specia i materials. parameters previously established for Thorno-Laq fire barriers o-Lag l 1992, to provide further information on staff concerns re The NRC 4

suoject, of Comanese Ps44 steam tiectric 5tation (CPSES), L'a (1ectric Coseany (TU(/the licensee) tntttated a testing progr n

the a ceptabiltty of the continvec use of Thermo-L am to esmonstrate Unit 2. tests oefore the first refueling cycle at CP!(3 Unit 2 The licensee conductec a series of ascacity derating tests for Th narrier conftouratinat at Onea Q tat Laborator_tes 1091) ermo Lag fire Teras, from naren 3 through March in saa An uais, preparation 40s testing rras riarcnC,u. -The staff osservet, test 3]a-inch-otaseter conduta with a single 3/C #10 AWG 60 snrvugn March 7, 1993. The first test 6 of n a z-inen-dia==ter F-- i t witn a s inaia 4~ ~ er cable and consistaa of a 24-tera = '-' ara "alasecond test group (tests concuttee fre in -- p-volt copper cable. The van 3/C et AWc af*-volt copoer cablettrav filled ta a mean -', et__Jnenet single 3/C e6 AWE 600-volt copper caole.and a free atr eroo (small) mace of a The final test group (tests conoucted from March 10 througn March 14,19g3) consisted r"na"" Mrst with tarse 1/c 750 new ano 1/C TioJM 600-volt copper caones ano a. van e-m

• • M es and later fant.

F/C 750 Mcm too-volt cooper casies. free ate drop (large) saae of,tnree 4 The licensee amoactty derating test methocology f u ance in craft

• Procacure for tne Determination of the Ancactly Derating of Fire P (nclosure i e

j 21

G13,16.14.0178. RtY. I CALCULATION WORK SHEET ATTACllMENT NO.: B ENGINEERING DEPARTMENT IBl NN i ENTERGY RIVER BEND STATION PAGE B12 OF B53 weiere (W ) as he widsh of she emble tray has, transfer from me benas of me fire bamer e coneve in thar de &mance berwoon the two sable ireys escent bei b.sht (M ) m ** charwarmac lease m*,la *e sem of me.de pan.a miaJ estemal bes: the was agua seriaaltand to bees flus per mut ares of sable arey saamasesir wie 34uamens 8 and 4 above. area ramo uw l m e, h ;_. __._ Using the thennel snodal desenhed above, SNL perfurned asvuni m nunter of phymeal parameuers were varied, home persumssers were v i whch a wtust is espessed so===ta== the TVE apphcamens based en the afen range TUE and en SNL's knowledge of bee ihe WE ampasny dersmas progr nance provtoed by bemer fire endurance test progreens. His was nessestued is ta TU and me fire conciae descripneas of all aspects of the two troy 6te bemer =* E has not provised for such suphert informanen had not been amacapased, and benes' e extensive and emphcit informanon were made o TUE.) sts for suca The parameters wtuch were vaned na an anempt so beend TUE's ap following includsti the Cable Trey Wide W as fress 12* as 34' were evolu===d id 32ven troy.m. troy spacing, wiser trays wtll suffer a greater ampacary p i y cable masses wtll impact me ampacny calculam impact, the mickness of me lower, urpowered cable mass will be z e seranns S'3 has invesagased lower tray saale asass ducknesses from 1* so d' mee. ~,- tificant me stan&std arnpastry deranns test troy spec The upper as specc4 enestenered se two tray C-.. is f* In .. ray lead to a grammer ampacity impact fresa l' = 12*. SNL bas arvensassed soy.e erey speme. i ss rangsag A number of paramasers were held constant d. rough all of te -9m D ue include-K 0.09 BTUArW.7 (based en sNL monag) K = VT2 aTUhre.1(band en Ts2 dean) v 7= 90*C (cable het spot mmpassure)t = 0.3* (1/2* Thenne-L out) 7 = S0*C (======t wth TUE analyses) c = 0.8 (sable emusevny s = 0.9 (bamer smaanvn)y) A3.s 22 i i

GI).18.1d.0 IVB. R**. I e CALCULATION WORK SilEET ATT ACHMENT NO.: H - ~,,,,, ~ ~ ENGINEERING DEPARTMENT 181NO8 s 84 ENTERGY RIVER HEND STATIOM P' A 823 0f "S3 _. l.r,'(sep a bema bem* **el. *se rey samery sacuamon ae el s.,,,,,= IQe.25 t, )(mad.ge, suckness, seles.so cabini%* 4.21.s,,, (ge v nu.cnn. "- un. n-am; beats im ensapenene be me miente ehemap is empear be pnmanly wewed a eurow of reisen ebenges reeer han a eersang fassers for a pvge esadgwence. Thee w reemuumended lor two tessons pmulemens beve neeleased the esses of ibe SLI. Temp Fstyt, only synens for wider emble sort, termal snel resule weeld yield newer ehentes dersmag lessor pesee manaured a TUrs teemas, The 'bese tasse' avWve he anulanes of magle inry 6te bemer maisewes wiuch were calculmed uses the anpaal verses of FITCOND This meluded a eniculacen of both un proucied thermal power danmey and ibe power desery sensuung a normal sangl Thermo Las satisews. Beiad as mese taisulmacea the mesuaal meele per amp seranes fassers presmed by the $NL eneeel for venous empene of esbie fill are even TANS 1. Table 1. tiemsaal amoamry derseas fassers for a sasle rey. I/:' Therme Las are bemer eymen predasmd by the $NL mww.al arSi FITCOND Cable Dept Ampaary Asopeaty of Fill Da ) Derenas Correenes Feeeer M) Facier 1 36.2 0 634 3 30 J 0 69$ 3 26.2 0.738 4 22.1 0.779 It is these values sak fene h bens for essapenene e ibe belemme of abe a presensed here. The reseaseder of the SNL maulemene doesnbod bare were perfor ibe meened verses of the FITCOND progree wing repen utber eseve N eennese) er sneaeve (n (TWOTMY) wiib soevessen in the mid.gep sesserveeve). A3 9 23

Gl3.18.14Al747R;v. I e CALCULATION WOR'< SitEET ATTACllMENT NO. H ~_,,,,,C" ENGINEERING DEPARTMENT Jul NO l ENTEMGY RIVER IlEND STATION PAGE H24 OF HS3 ~ amenmaam of conses enuservrey ofrece se tem rwutmuros of bmmems ,[ke ele e e 6

v Table 1: Worm esse eersang fastes for TUI eens based en 'eenner base bee empasroes a seems4 lor pemenal venesses a spadet owtese sammwny i

Tevi Confiswenes-j Nemanal Ten Worm Ce l ADF(%) ADF(%) 3/C elo AWO se 3/d* esadas t4 13 9 l 3/C e6 AWO m." senews 66 21.3 4 l/C 730MCM m $* eenew 10 7 tl 0 consuo uMvm Pmme bm.. The followmg page pe? 4e a homes of te essepeer ende unhand by SNL aria sealyma of tendet eersnel bekener. The ende is not seemedad for general pwpow here was pnmanly estended a prende for telasve asenn egnaannfy efface ramer man se prende predsemene of annsel sendet ampacity hm ~. e' A4-6 24

~ _ ~' G IJ.18.14.0 178. Rn. t

a___,

CALCULATION WORK SilEET ATTACitMI'NT NO.i H ENGINEERING DEPARTMENT JBINo.: NE RIVER BEND STATION Pact 825or853 1 Handbook of 1 Heat Transfer 1 Idiens tv WARREN M.ROH5 ENOW l Premeser of heemmune twm i uomsehusen tan =m of f ashneeste JAMES P. HARTNETT W. Osmarvasat of E nerve inpasareg unmri.tv et tueuse a Chesys cygn e e j I WOR AWJ4fLL DOOK COheP ANY New Yort SLLews San Freneesse Ouesseert Johanaseewel Kva6e Lesneue Lesseen Wome Meneesd New Domi Psaasne Pwe SaoPau6e Senessees Sveney Tokyo Toswnne i 25

G l3.18.14.0 178, Rev, I { e CALCULATION WORK SilEET ATTACllMENT NO.I ft ~ ~. ENGINEERING DEPARTMENT JHI NO.: ENTERGY RIVER HEND STATION PAGE H26 OF H53 1 f I n -.-T,e t c:co. t 9000 ^ 00cc ; ~N 'D00 ; x ?x Mf ~.,, _ [ g sm; mMy = i y / /R&yA I A E f /N#N- [ ymov[f i 'X f@MN i 3g / Y /Md'@ I $~ too-g,. 600 - ,__y e M- -q s ti.,sa. ' g; 'J. 130' ens s t heation eeudibnum iemperature u,. O'R) is thus seen to depend on not onh e alone but the rataose a. Approsimate values of these optical properues for typical ter'iperatur,<ontrol surfaces esposed to solaf rassapon llei att hsted in Table 4 T ABLE 4. Ernesnevety end So6er Absorptmty of $osected Surteses g sunsre eS00*ti se .see l sununam ievitee n 0 0J QJe +1. l pe isistee 6 0 03 0JC 110 l pe issuum eeponiesi 0 03 0.24 4 meneru sines t eausnee t 0 03 0 40, 4 mununumfodtaudi 0 OJ < OJi i tanusum 0 08 0 44 ! 4 servaium i paushet i 0 09 0 49 53 mununumiodeuveen 00s OJO 10 servusum s nuued 0 t I ' 0 49 41 sianeum 0J0 i 030 40 ] hane el 011 i DJ9 3J sarome 0081024 30 naasi Oil I 043 J I weet 0021004 2.0 sununum s painahee n 0 03 i 0.10 2.0 mununum saaneb6ssisel 0401044 IJ kass vinyl onenaus isaal 0641093 4l kasa adecens peni t ftst e i 0311 039 8.1 same kass

• 0951 035 1.0 yev euscone paini 0 66 033 OJ$

equis ainsane peat tremi

• 0.75 0J6 0JS y

mapwas 1099 0 to 0.85 I I 26

G l3.18,14,0178, Rey, I

e___,

CALCULATION WORK SilEET AlTACllMENT NO,1 B ENGINEERING DEPARTMENT

JBINO, ENTERGY RIVER BEND STATION l' AGE H27 OF B53 e

INTRODUCTION TO HEAT TRANSFER Frank P. Incropera David P. DeWitt School of Mechanscal Engsneersng Purdue Unswrssty John %Wy & Sons New Yeek Chichester Bnsbane Teresse+3&egepere 27

G l).18.ld.0178. Rev. I e CALCULATION WORK SilEET ATTACHMENT NO.t B ENGINEERING DEPARTMENT Jbi NO. ENTERGY RIVER BEND STATION PAGE B28 OF BS3

G<

$90 Chame is kaamuse tannas Dawee twtases Table 111 %ew feeton for two dimensional geometnes (d) OEOMETRY B ELA110N Paramel Pteus e Madhuse Commened P f 4p:4 :m%

m.,-. a.., y y

L l 2nu [ M;.w/L W, =,il

• ')

l lamened Peressa ria of Eguel #1dsh and a casames Eds. f,-l r..-..(;) g N; - Pte.es whh e Commen Edge ) T f, ,,, i...... - n.. s..n... g M Easiesure sN 1 =, 28

G I),18.14.01Tdev. I CALCULATION WORK SilEET A1TAcilMENY No.: B ~ ~ ~"." ~ ~ ENGINEERING DEPARTMENT JHI NO,1 ~. EpERGY RIVER llEND STATION PAGE B19 OF B!L3 I il i The 4re f ener 991 = Tee 111 Conunued OEOMETRY RELATION Paranal Cyboders et Deerine km r.h a + (c8 -I A + li )8 -(c8 -ca -li )8 8 8 u 0*4 + 1 A - licos * * ,i ) y -( A + 1 e cos ' ' + ) + ' ~ R. r,ir,, s. s r,

c. ten +5 Cytamier and Pereasi Romae 6e 9'

,$ t ? r. ine s h -ina ih o ,1--- '8-ei inassw rte and me. er Cyboders -e-hhhhh I-(h F a l-u .(9...,( 8;ry8 cylinder (or a truncated conel relative to the lateral surface may be obtained by usms the results of Figure 13.5 with the summauon rule. Equauon 13.4. Moreover, Figures 13.4 and 13.6 may be used to obtain other useful resulu if two additional vww factor relations are developed. De 6rst relation concerns the additive nature of the view tactor for a 29

G l3.18.14.0178, Rey, i CALCULATION WORK SIIEET ATTACitMENT No.: 8 ENGINEERING DEPARTMENT ,lHINO: ENTERGY RIVER HEND STATION PAGE It30 OF H53 m M2 ch.,an as a.4,.u gua sm.e s t I Tee 13.2 Wew fanors for thrw.dunensional peometnes (4) y GEOMETRY RELA 110N Ahgued Peronel Rennegins X X/L F. r/L Mears 114) 2 I "fl + f 8N I + F8)" 8 f gb,# + f(I + F8F8 tan *8 I gin y,, 7, 7,,,,, 4 + Fil + X8): tan * ' - f tan * ' f - F tan

• 8 T

,,a Cesahl Permani Dimbs A, = r /L A, = r,/L meeti15) o Sel+. A.8 I I F = 3 ($ -(58 - 44rpr.,aji :) ,, t 4 ?.

Renseebne n = ZIX, W = YlX wish e Commee Edge g/

g g g (Figure 13.66 Fo

• W 148 ;
• N tan * ' y - tu8 + W8 8 :en * '

1 g ,1,, !n. w>in. u>i won. w. ui i a t. w.. u. .n. w., w. u.,. " u80+N8+ % I s ,tl + usigy., wag,

j subdivided surface and may be inferred from Figure 13,7. Considenna radiatiaa

-from surface i to surface], which is divided into n components. it is evident that _ .i..' a To = E.i Ts. (13.5) a where the parentheses around a subsenpt indicate that it,is a composite surface, in wluch case (j)is equivalent to (1,2.... 4,..., nt This expression simply states ~ that radiation reaching a composite surface is the sum of the radiation reaching its parts. Although it pertams to subdivision of the receiving surfaa,it may also be used to obtain the second view factor relation, which pertams to subdivision of the onpnaung surface. Multiplying Equauon 13.5 by A, and applying the reciproary relauon. Equation 13.3, to each of the resulting terms,it follows that 3.. A,T,3 = V A.Tu l' (13.6) .t, ,te.

i..

30

G13.18.14.0178 Rev. I e CALCUl ATION WORKSilEET ATTACHMENT NO.: H ~. ENGINEERING DEPARTMENT JHI No.: ENTERGY RIVER DEND STATION PAGE B31 OF H53 .. s.. e A.tur, tan u. s nmer et cr=uss ietsi 1/9/99 13 : 59 pts traarttyi Orgest berenpt hoguested 70i Tanskt. Degna at CPCDt464 S us3 0 s t i R&4 aspataty. Sagetsey Deta .................................... Dte s e e te C os t aa t e. *.................................. pere's the data etsmarts free itMei teseway 46:e trail Aetual stata ett11 taats 1CR40 tama 3 90.834 31.410 set Ita.st. 9 esales ICR400mai 1.I' 94.10 33.815 lit 1&aat. 3 cables 138 00mht 1.l' 96.14 33.416 344 1Laat. 3 casles 13800aca 3' 33.495 11.933 lit 11aat. 1 eaals iTE20 st 3.906 1.083 4et laast ITK88u 38.394 13.110 ott 1&aat 1TE0438 31.348 30.814 ett lanat 17K3003 58.098 1TM38u 88.993 171.t t3 8 43.819 ttMs computes trill eeveral daf f erent wave sependaag se reeeway type. You shedd act we PDes trail tot say of your saar414ttona. Use Actual ers;1 e PDMs trail a tisaat tree saa trail naeta. Alse. I've provsted best 1TR803 and at tFall, but you shoult use the taalist Actual DFall for your calcalation. For t.u T3 and TL trays I's set sure how you att ustag th11. Wut sat = t we PDMs values. St s based en etacle leyet-easle daa.eter, tray easta and e it 1 f actor tua,aisewal. aere 6s the sante esta ter essa tray Trey stables type stas Area ITM30CR 3 4/Stra 3.34 3.941 17534 3 ease se 1 M3085 17'8139 3 3/ptra 4.e9 1.144 e alttra 3.81 3.1?) 'et me knew at you ased more & ate. % * **" e:4e

• maa1T364 eaar.p1 3I i

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G ifl 8.14.0178, Rev, I e CALCULATION WORM SHEET ATTACitMENT NO.: H ENGINEERING DEPARTMENT J BI No.: ENTERGY RIVER HEND STATION Pact tu2 or us) i .si im em ,e %,, h,,,,, to smarwa I i i i jll from-To: TahsinDbran l i i Awon Aanani Done May J1.1996 l i i

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[ l Message:, M 6re the checked ' rW for Ul.,U2. U3e and Un These we appsoved with commeau proviced House for U2 I have added an addiuonal desch to try to cent up, f What thil tree l00E3 hk.4 sure the Sketch means hothing unlett [ frplain R to cell thp and we essi Oscuss IL ' l-l If you hows erry other que om pleue call me it the PJwr Send Station (504) 381410). i l l

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G I).18.14.0178, Rev. I CALCULATION WORK SIIEET ATTACllMENT No.: U ENGINEERING DEPARTMENT JulNo.: ENTERGY RIVER HEND STATION PAGE H33 0F H53 n.n.sm w.~

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G 13.18.14.0178, Rev, i CALCULATION WORK SHEET ArtACHMENT No.: B ENGINEERING DEPARTMENT JulNo.: ENTERGY RIVER BEND STATION PAGE B35 OF B53 es si.i m ca - s e w., s,. ~. i, to em- .= I i M I t f d ' '~ l s tf' , ' i j/ /, / / .I ' 'N-l'N- ' '%.h i i: ? ~~ ~~ W; I ,e t. / / f /! / l//,/ . l Nb.,; N I l [ ' i / 't / / / i /' / // ; '../. j... Y ,f / L.'.. ,. f,.- R% } l ,T'. fib..l, o, i '/,. 1 s; L s% y l //. I'/ !.' l ' l .. Ng% *$ l 4 l i. i ,N ' N '.' N 3

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G l3.18.14.0178, Rev. I CALCULATION WORK SilEET ATTACitMENT NO. H ENGINEERING DEPARTMENT JHI No.: ENTERGY RIVER BEND STATION PAGE B36 OF H53 .... n im w e. e w.., m,~,,i, to amm ..e m l l 1 l ~ l i !6/ / MS / h l 8 i N' / f,.. # 3 i 3-: / / 1 11' ; 4 l 'l 'rr.;:' i i 6: i / i

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Gl3.18.14.0178 Ret, I CALCULATION WORK SIIEET 1 A1TACHMENT NO : B . ~ ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER llEND STATION l' AGE W OF BS) e ..im ere r e +.i., w i..~, to eme w... 4 e eg

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GU.)8.14.0178. Rev. l l CALCULATION WORK SilEET ATTACilMENT NO. B ENGINEERING del'ARTMENT JBI Wd t hTERGY RIVER llEND STATION PAGE "38 M 883 .e esas asinemose vem es essemmassal eau gaes a ree. tenang edere et un seer emans af ihr wasm la es esas W enum e o esa asum A resere is un om af ena.m e emas 18 and G g suermeneuve seum of T.=to C ens tun hath. n o amensas se tenes IsomL ewr 1e eens e een, com #. I we ammars scenene 41 sedams is ese gamme a tJeresse eerwons tar armel Whms us enha penas e omniamme mens t esswow ereses smee e a numimre el tas emmenes 4. eed Las emmt knee. us aden W es safras LaemaJ euwwert ei tem namunang naarmal reseemn af me emmerge es. A.,: #* '#, means enedart

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1 G l3.18.14.0178, Rev, i CALCULATION WORK SilEET ATTACitMENT NO.: H ENGINEERING DEPARTMENT JBI NO : ENTERGY RIVER llEND STATION PAGE B39 OF B53 heat 4 trusler J. P. Holman A ssocsate Prclessor .VecMnscal Engsnernne Department snaren.Veau t ni,,,,uv l l McGraw.1Dil Book Company A.. r s s.. re r w,. { n

Gl3.li.TTElfs,Rev,i CALCULATION WORK SilEET ATTACllMENT NO.: B ENGINEERING DEPARTMENT J ul N o.: ENTERGY RIVER llEND STATION PAGE B40 or 853 I r*-- f 174 Heat transfre 1 power (see, for eaample. Ref.11< h fs = e T* % 2) I I' Equation 6 2 to es11ed the Stef an. Boltzmann law, fo is the energy radiated l 4 per urut time and per urut area by the ideal radiator and e is the Stef an. l Boltzmann constant which has the value j e = 01714 x 10-' Btu r bt.f tt.'R' when E. as in Blu per hour pet square foot. and T is in degrees R6nkine In the thermodynamic analysts the energy dertsity a related to the energy whieb to radiated from a surisce per unit time and per unit area Thus, the heated intenor surf ace of an enclosure produces a certain energy density of thermal radiation in the enclosure We are interested in radiant entbange with surf aces. bence the repon for t'.e expression i of radiation from a surf ace in terms of its temperature. The subsenpt 6 in Eg (8 2) denotes that this is the radiation from a blackbody. We call this blackbody radiation because matenals which obey this law i appeat black to the eye: they appear black because they do not reneet any radiation. Thus, a blackbody to also considered as one which absorbs all rsdiation incident upon it f is called the emisme pom of a black body. 8-3 Radiation preparties When radiant energy stnkes a matenal surf ace, part of the radiation is te Aected, part is absorbed, and part is transmitted as shown in Fig. & 2 i We define the renectivity e as the ,,,,,,, fraction renected, the absorptivity e is e. w.e a as the fraction absorbed, and the b [ transmiasmty e as the fraction trans- } _~ mitted Thus ],,,, ,-e+e=1 (8 3) l~ .\\ lost ealid bodies do not transnut f tro. w thermal radiation, so that for many I j' l spphed problems the transmiasmty Tig. 8 2 SleseA sAowmp types may be taken as sero. Then ofeediatson. a+a=1 Two types of renection pheuomena may be observed when radiation j stnkee a surface. If the angle of incidence is equal to the angle of tenee. I tion. the resection is called epecular. On the other hand, when an incidest i l l l i 40 i,..:..

CALCULATION WORK SilEET ATTACllMENT NO. H ENGINEERING DEPARTMENT J BI No.: ENTERGY RIVER HEND STATION l' AGE B41 OF HS) I 188 Heat teansfre obtained from Tis 013 fi.e. may bt espressed .4 Ti.e. .t iri. .4,f.. (b> i Also .t i eri s.: =.4 ifi. .4 T. iri Solnns for.tiri. from it), inwrting this in (6i. and then inserting the resultant espression for.tifi. e in tot gives .46 T s.: e =.4 i I n.a *.itIt : .4 i fi.. .4 T.. idi Notice that all shape factors etrept Ti.. may te determined from Tis 013 Thus %l 1 Ti.. =.4 i.4iefi i.. .4,Ti .t i,T,., .4,Ti..) ($446 Other trariaformations are available for computing shape lectors in terms of more generalised shape facton like those in Figs bli and 013 The rea4er is referred to Ret 3 for more information S.6 bat asc.hange between nonblar.h bodies The cajeulation of the radiation heat transfer tetween black surf aces is relatively easy since all of the radiant energy which stnkes a surfsee is absorbed The main problem is one of determining the geometne shape f actor. but once this is accompitshed, the calculation of the heat eschange l .s verv simple. When nonblack bodws are involved, the situation is much more comples, for all of the energy stnking a surf see will not to absorbed: part will be re6ected back to another heat. transfer surf ace, and part may 1-be renected out of the system entirelv. The problem can become com-plicated teesuse the radiant energy can be tenected back and forth between the heat stensfer surf ace, wveral times The analysis of the problem must take into consideration these multiple reRections if correct conclusions are to be drawn. We shall assiime that all surf aces considered in our analysis are diff use 8 and uniform in temperature and that the redeetive and emissive proper. ties are constant oser all the surisce Two new terms may te defined: G = irradiation a radiation inctatnt upon a surf ace per unit time I and per unit ans. I J = radiosity = radiation which lesees a surf ace per unit time and per unit tres The radiosity is the sum of the energy emitted and the energy reflected when no energy is transmitted, or J = E. + eG (845) l, where e is the emiasmty, and E. is the blackbody emissive power. Since i

i I

4I j

Gl3.18.14.0178. Rev. I CALCULATION WORK SilEET A1TACllMENT NO, H ENGINEERING DEPARTMENT tal No 2 ENTERGY RIVER HEND STATION l'Act 842 or as3 P Radsattsm heat transfer 189 the transmaamty is assumed to be sero. fbe reBeetmty may be espressed 'l's ,=1-. 1.. 'O so il at J = er. - (1 - )G (600 The net energy leaving the surfere is the d Merence between the radiosity and the irradiation id: 7,, y - J - G = er. - f1 - e)G - G solving for G in terms of J from Eq (B 26), ' '4 9 - ! " '(f. - J) arms D* e*[3,' (6 27) Or ,3 tt this point we ernroduce a very usefulinterpretation for Eq (6 27) If the denominator of the right side is considered as the turisce resistance to radiation heat trans. e O iet, the numerator as a potential d Rerence and .LI ~ 5 the heat now as the " current." then a network E element could be drawn as in Tig 817 to repre. rig, g 37 g/, m e n,

• ent the physical situation This is the 6rst step eep,ne,gnn,..,y, jet, in the network method of analysis for radiation reessianice" in redte.

problems gion.netwar& method. Now consider the eschange of radiant energy hv two suriates.ti and.4, Of that total radiation which leases surisce

1. the amount that reaches turisce 2 is J i.< i ri, And of that total energy leaving surisce 2, the amount that reaches D"'

sunace 1 is Jr.4,F. nnw The net interchange between the two surfaces ts and gi.: = J.4if,- J Aires i i But .4 Tis =.4,Tei N othat 9.,. (Ji - J ) 4,ri, - f/, - J ) Airn gi. = f' ~g or (8-28) We may thus construct a network element whieb representa Eq. (8-28) t 12 m

G l3.18.14.0178. Rev. I C

• LCULATION WORK SilEET AlTACilMENT NO.: H ENGINEERING DEPARTMENT J HI NO.

ENTERGY RIVER HEND STATION l' AGE B43 OF H53 1 190 Heat transfer i ( as abown in Tis 818. The two network' elements shown in Tip 617 and { j l.' 618 represent the essentials of the radtation network rnethod. To con. j struct a network for a particular radiation best. transfer problem we [ need only conneet a surf ace reststance" (1 - ened to each surface and a " space resistance" 1/A.T. tetween the radiosity potentials. For estmple, two surf aces which enchange best with each other and nothing else would be represented by the network shown in Tig. 619. In this came l .im' 4... /,.. /, - 6 ,r, j, y 1 -47; e,4, 4,4 e,es rig. 818 Element representent Tig 6-19 Roatanen networA for " space eersuance" sn esdianen. net. Isro surfaces vnnch see each other I work method. and nothsnt else. f the net best transfer would be tb. oserall potti.bal dtfierence divided by the sum of the resistances To - f., e t T.* - T,*) gg,793 1 - ei i 1-., 1 - ei n 1 - e, ei A s ~ Me e, A, eiA s M ~ e,A, A three body problem na shown in Tis 8 70. In tbts case each of the bodies eschanges best with the other two. The best exchange between i body I and body 2 would be Ji - J, e O

• 1 A ifIn and that between body I and body 3 J, - Je O " i aifin To determine the best flows in a problem of this type, the values of the radiosities must be calculated This may be accompitsbed by performing standard methods of analysis used in d-e circuit theory. The most con.

venient method is an application of IUrchhoff's current law to the etreutt, which states that the sum of the currents entenng a node is sero. Fzample B-3 illustrates the use of the method for the three body problem. A problem which may be esanly solved with the network metbcd is that of two surisees etebangina best with one another, but connected by a third surface which does not etebange hat. t e., one which is perfectly insulated. Thu third surface nevertheless in8uences 'be best transfer i .l me 43

1 l 1 Gl3.18.14.0178. Rev, I l CALCULATION WORK SIIEET j AITACitMENT NO.: B 4 1 ENGINEERING DEPARTMENT Jul NO.: ~~ ENTERGY RIVER HEND STATION PAGE B44 OF B53 l 1 202 Heat transfer network is relatively easy to obtain beesuw only two unknown potentials l Ji and /s need be determined to establiab the various best. nom quantities l In this case the two trsnsmitting lavers a ill either absorb or low a censin quantity of energy, depending on the temperature at which they are maintained, When no not energy is delivered to the transmitting lasers then the l nodes E and E must be lef t "nosting" m the analysis: and for this particular system four nodal equations would be required for a solution of i the problem. l l l t,. .4 4 e. ... m..' /,, r,, l l y..j..C

hiil,

\\ e...-..... y / v....t, u i v... \\ \\ f \\,/ 1 r.

(

_r j o u j j

e. e......

I Tig 6 33 Total radiation network or system of fet 6-29 f l B 11 The radiation haat tranaler coeHicient l In the development of convection best transfer in the previous chapters j we found it coniennent 'o dettne a heat transfer coe&eient by ? I! g.. = 4...i ( T, - T.) l l [.[. Since radiat.:n best transfer problems are often very closely associ:.ted with convection problems and the total heat transfer by both convection l h and radiation is often the objective of an analysis,it is worthwhile to put d both processes on a common basis by defining a radiation best tran.;fer i f I coeflicient,s. as i l g = A. 4 dTi - Ti) i i where Ti and T are the temperatures of the two bodies eschanging beat } i l. , s. k 9 e i j 44 ( j < -. ~..

Gl3.18.14.0178, Rev. I CALCULATION WORK S!!EET ATTACitMENT NO.: B ENGINEERING DEPARTMENT JBI NO.: ENTERGY RIVER DEND STATION PAGE B45 Ol' B53 ' r l Radiatton heat transfer 203 by radiation. The total best transfer is then the sum of the convection 5618 and radiation.

• 8 g - ( A.
• 4.1.4 ( T, - T.)

(&-45) sin are it we sasume that the second radiation-exchange surian is an enclosure and is at the same temprature as the Rund. l'or esample, the best loss by his free convection and radiation from a bot steam pipe passing through a the room could be calculated from Eq (6-453. I in many tristances the convection best transfer coef5cient is not l strongly dependent on temperature. However, this is not so tith the radiation heat transfer coefhesent The value of 4.. corresponding to Eq. 16 32), could be calculated from i i..i _.%. X,r,., - o - ^ < r - r > ... e, r., _ r,,, - r., t.i - i.4. 4,n i,., - n ) o, Obviously, the rsdiation coef5eient is a very strong function of temperature. PROBLEMS 81 Find the redisuon shape feeters ri. for the situstaons shown in the accompseysnt 6gures. 4 A r/A 1 s j'l R ', t %/ 'Pd N, $2 g x <.y

8. >

q' r 8> yy yv 1 i 4 45

G13.18.14.0178 Rev I CALCULATION WORK SilEET ATTACHMENT NO.! B ~ ~~-C" ENGINEERING del'ARTMENT J Bi NO.! ENTERGY RIVER BEND STATION PAG E I"6 UF "" / A ppersdnz 2M Table A 10 .Torm&' 10W f trutalNY Of V&rIOut $Urftetti l y Er-y buHaM 7, *F F.rainen it s, e 13 3) .4 Mews and their essdes 14 35 0 3 x 10' M88'aum : y 40 1 0 W 10e

• ha 1 1 w 10e Egidy pulashed Wate. 98 3*e pwm t, in 23xpn Commertal aneet

' 440-8070 i 0 03H 037 Hastili esidased 212 0 Uu 30 3 p x los M e.rtated roe 6ag Dire-v40 0 2 H 31 brass

I; a w x 19 luo 0 216 4 ;,,

3 j x goe Rehh gialisbed 1 4 v4 6 6 x 10e 73 2e.' Co. 26 ?t. la 4 ?r.-c?4 ' O 024-0 031 62 4 P. Cu. 36 s e Za. 0 4 ?e Pb. 0 S e M J 64 ? ?

• lue e

$20e,Cu.170*,la 494 710 U 033-0 03? e Hard roued. polshed, but directen et polehing veible l 3 30 g g x lue Mu U 030 Dual pate to 0 03s J VI lu 2 m ius Chromivm isee nahel allove fee N6 Cr steetas 120 4 00 0 22

;3 gj y a see Potehed i

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J uJ 21* i 0 08J 0 o44.

• ?

I O fa i,,. Pee. hashir pohshed trea and sieet inos inriuding siainlees:- 440 8100 ' O 016-0 038 I '. s St**6. polwhed r 1 n, Iroa. poisshed 212 0 066 Cast iron. nemtv turned M IMO O 14-0 34

g4 ie Cut iron. turned and hnted

?2 0 44

e; Med o' eel A

' 1820-1810 ' 0 GH 70 Osidised surfaces 440-1050, 0 20-0 3J t is. Iron piste. pahled. then twsted red I Iron. dars sten surface 6A I s.*. Rowsh inget aron 212 I O 8t o

• O al

&been steel meth strong, rough oside laver 1701A 2040 t U tid US Lead in I O to Laosidised W 96". pure l I Gree esidised l 28(b440 l 0 03f4 074 Hi r t rai..e. '

• e e.i Otadated at 300'T 74 i 0 25 Magnessum Juu l

0 63 Maanesive eside Molebdenum 530-1420 l 0 A M 20 Fdament i Masente. pahshed . I&46-4700 t 0 Dia H 202 Monet suetal 212 0 Oil usadued at lilo'F i 3)po-ll10 ! O 444 46 ..q 46

e CALCULATION WORK SHEET ATTACHMENT NO. B ENGINEERING DEPARTMENT JBI NO. ENTERGY RIVER IlEND STATION PAGE 847 OF B53 C.5DE&E AarAympugL1 esse ein s e-s. e eo rmeen pesi m 73 ftseg %s 8tt tp.e'ee Memorandum To-Taham Dogan Frevn: Aaron Adnan Date: Fnday. August 15,1997

Subject:

Orwntauon of Raceways Insuse RBS U1 and U2 Ramer Arrangements

Dear Tahetn,

This Krmorandum is besng sent to document the physical Urartgement of raceways located witfun the RJver Bend Station unique metallauons etsignated U1 and U2. The mfurmatJon wtuch I famed to you last week from river bend represents t.he

• worst case
• or 'boundmg* arrangement from a congescon standpomt since the raceways are not routed m casetly the same plane throughout the enurs length of the enclosure.

Also, be advised that all Thermo-Las maternal associated with these bamers has been removed. Feel free to contact me at 1817) 7371167 if you have any other quesnone or comments. Sincerely, __) h Aaron Adnar 17

G l3.18.14.0178, Rev, i e~. CALCULATION WORK SIIEET ATTACHMLN T NO,i H ENGINEERING DEPARTMENT JBI No.: IO&------. E A G L.ada.Q L E L.__ w e ? O,,,t.; 9 l0 q f fk I i

f i'#'

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Gl3.18.14.0 lV8, Rev,1 CALCULATION WORK SiiEET ' A1TACilMENT NO.: B ~~ ENGINEERING DEPARTMENT JBI No.: ENTERGY RIVER HEND STATION l' AGE 849 or us) j l I l 4 C K60D N M ) a iCLC.00 N AG ONU _1 !B lt i s Qi ,.J o* f,t I a I l i, 9 c L) i 1.-l, 4 i 1 - ?" 9 c ) 14 I; f w i r eWI V_ i Fitxt t 2.'. (,, ' s cc.n era 4,c,, AffE4Ylm ATR V Le t g 74i3 l $ 6CT10d i a +,e 4 y. 1."6;

Gl3.18.14.0178. Rev. I ~ CALCULATION WORK SilEET ATTACHMENT NO.: H '~2 ENGINEERING DEPARTMENT JaiNo.: pursany " " '"" """" TATION-- PAGE B50 OF B53 l s. 4 C W400 WM f f (cr4ooNAG i a 1 I { \\l n-q ] j.,ro u,, +; a ~ 1 i, 9 c i e swr L._ li I f ) w f A 1 1 eca )L 1 Narr-E# stenor4 wc5 f*ff fhi m ATR,/ Li t.E. MIS. $W

• S4'* 4 ' & wda,'4s t.d4 N* twelesua and &

N635 run 4.lon g. SectoM L. I $0

G13.18.14.0 lY8, key,1 CALCULATION WORK SHEET ATTACHMENT NO.: B ENGINEERING DEPARTMENT JBINO.: ENTERGY RIVER BEND STATION PAGE B51 OF H53 V 4 i rg sumam i l f g u,,o mo Ml W ghr.Lawtg j i se im a v ma fl t I me an. \\ z k I U ! 6'.4" ( He C <j f k c i } t, J .2 --/ e I I .l 5I I

Gl3.18.14.0178, Rev. I ~ CALCULATION WORK SIIEET ATTACHMENT NO.: B ENGINEERING DEPARThlENT JBI NO.: ENTERGY RIVER BEND STATION PAGF i?. OF B53 0m (e-2 4 -+L I [. s i e t exc,coAJ A'7 _ _L S~ o - C L"A tc.u.oouez. ' -> T g. 4 i) .- c. - L-1i 4 \\ 1 t 1 i 4 1 5 k om s e 52 TUT 4. P. M

Gl3.18.14.0178. Rey, I f CALCULATION WORK SIIEET ATTACHMENT NO.: B ENGINEERING DEPARTMENT JBI NO.: ENTERGY RWER BEND STATION PAGE B53 OF B53 l Author: Lawrence E Easter at DPCDES63 Date: 4/15/97 S 01 PM Priority: Urgent TO: Tahsin Dogan at DPCDES64

Subject:

PDMS Data - 1CK600NM1 ......................... Message Contents ----------- -----------^-- Data from PDMS on 8/12/97 for conduit ICK600NM1 was as follows: 4" Aluminum - 4,030* actual 72.854% PCMS Fill Contains: Two 3/c #4 1HVYNNK042 & 043 Four 3/c #8 1HVYNNK044 045, 046, 047 Two 2/c #12 1HVY NC544 & 545 Note that the 72,854% PDMS Fill is really 29.142% Fill based on conduit to cable cross-sectional area and 40% NEC Fill Limit. 53

ATTACHMENT DG Calculation E-218, Revision 1 "Ampacity Verification of Cables within Raceways Wrapped with Appendix R Fire Protection Barrier" J}}