ML20101M529

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Mut Pressure
ML20101M529
Person / Time
Site: Crystal River 
Issue date: 01/11/1996
From: Harrison D
FLORIDA POWER CORP.
To:
Shared Package
ML20101M505 List:
References
102075DHH03, 102075DHH03-R00, 102075DHH3, 102075DHH3-R, NUDOCS 9604050432
Download: ML20101M529 (46)
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CALCULATION TITLE PAGE

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a MPR Associates, Inc. MMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepare,d By Checked By /02075DHNO3 ,{ y/m m -t$6):' Sr & Ivak & tjascs ist soluNrn %n = p. (w-g-M) G fu, nu N f } O fu!

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=. MPR Associates, Inc. MMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By //f!w' m e.)b}wb "*" IY iozo75mos f nh M p,- psa = fu, t fu, and

f. - fsa Yuo
  • Yao

@ (w-V. -ov) (G yu, + G po,) ( fu, + % ) + + gsv(Cyfu, + du L) = lfu,+% )G. fo(*-V-)[Gb% U Alsu. 9/u. n/ak, mud k k imspe% ej >s potws y pg, i g,. W s tau he wiku at hw uparat.s.e;uahws: O sRf)'. + e. (w-v.a) s n, pva s = 18. 2u. q.(w-v.)ss $h f tlV g + 6 (w-4 -ov) L, % +g &du b = A $7, + p.(w4)Cu s nV

MPR Associates, Inc. 320 King Street Alexandria, VA 22314 Calculation No. Prepared. By Checked By dL-m.) i m m unoe i i $U t t.' 5 YHI e ~0 U

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  • H f

e f hW ~~ =l "b ll Ty =183., R T-l Vj-t+AV (y_ gy) (y

t. T.
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.i + f,Zj?(y fW - W.i -bv) V-Q ( Vj-i +6V + 4 7,f, ds, (r.<- 4-i 4v) > y sv a un.sm

4., = g + (,.,)w (aa v; - g + pv),_,,

4= v,v.av a. 1 = i 2..... a

MPR Associates, Inc. 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By /02075bl/H02 Jhw q$)/s',if ( cu N +(f-1)llV'4 kolf (q (h/ - Vo -(j-t)LV-AV) V *($~/)lVf~dV + f, -y,--(y'-1)4f-dV) b/j-o o ,f' V, + f'8V-laV+ & }V-V, -J V] 'd 3 bij-1 N+j'dV&kTfC[Jy-gy'dy] o }/ ^< desm .p, g,I = ?H -t f O Auj ' /*uj.i fuj., -.. fai is & em. as Y, f"i '. f"i-'. 1 n_i -. fy 5 Yuj-t YNj 1 E -s

YHe, fl,

kJ y ~1~ .R;3g 40m Mu Mn,%,e y on,%=bsgad. ff = YHo K=\\ 0 0

MPR As,sociates, Inc. 320 King Street Alexandria, VA 22314 Calculation No. repared By Checked By /02075DWo3 /'bhj/S 4f,4/,)J

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  • fs*6 + YHo
  • YWo

) L = %t " L (i"r) i yb = A -%,e l l l + f" So k k Ymk ~ fsol M5

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, U] l = Ymo ~ Ysob \\ +y l t i I 1

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,e e MPR Associates, Inc. MMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By /C2075bJNO3 kh{,,,, .f),J,f

    • 20

/ 74af is, if g is knoenn, /Ac limsh>f pienaic in fJu inaktap fsd drany /eic/ y; A 1 b - &t pino ?sai 4 Y{'(Y= m I?ob Mai l'a had ewQ 4e St/et <d /sec eirouy// /4a1 //u s/y,, / %' en k ndAio J s/ th n/una eban9 ac cina//. l 4 s y A a. /syer huindie, // f( eAou;ist( l'as,gwWeanity G is lay enouy4.3,y;,L) d<n chaugc O v

j MPR Associates, Inc. R 32o ximo street Alexandria, VA 22314 p Calculation No. Prepar,ed By Checked By "'" O /o207fDHHO3 /hnic~ 81i).v./) (

4. Heyey's kiv fowToc/Jr 14ny's law amsfanf 5 nowrolly (6 (w example, Ham?bool of chenr%ygWu as sus' #Apin

./ \\ '/V8 ff p /70f,' /ftfertuce /. ) // = 8 X tr/are /' = pieno / presseirc W

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me e pa.s in n m,6 n da. s kwr.:i ln.> 2) t /1ndevseit ( 4L cuw o 4atA~on < ' ase/uYins va ws eknyttohtl Tiu cousfor/ o6 dompodb curn rGm Moh rennute ic shown su b A//ounay pery. Thc mokeup Yan/c Awpc shrt /s sstuwec/ HS"te (def. 2, sh. 7) k he /35'i = '/40 H5T = / 0 0 0 = /. 48I 19.i 597 ilOuj Mu &uire 40m Andiescn. t/a ya/m; gHv m,(sul;- 6ot : (wk cc ore et sursJseded N ~_ 0 9/ pg,x cardMcvs pioyt:<y'u./ d f!a Q ce, ttocua,piv4ahty one t a%plau - IV.7pur l 94o swHS N / '/3 #5 s u o! 0 *d. .$.a r.is " b o. Aclosues /. ) f4

MPR Associates, Inc. 320 King Street Alexandria, VA 22314 's) Calculation No. Prepared By Checked By /D207501/1/03 QN.u) row h/t)c) { / l.s k 1.4 /d3 gauanirg - Muc.86.U l.2 UPetA s9% CoNFlotNCE Luf PetSCNT O, 10 DCn 99% CONFlotNa; Llust N 2 / ureta es% comreotict vuit \\ j ,y e __ _o 9 g 4u.n,, ) N entstat. -Lowen oss Connoruct uuiY r 0. 6 sise,rf a Lytt entstm? 0.4 hirnocta ~ avonoctm [\\j} 00 l C8 09 8.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 5.8 5.9 2.0 2.1 2.2 4000/T

  • R*8 j,gg, geg,7y eg Fig. 2.

Comparison of various correlations of Henry's Law coefncient for hydrogen and nitrogen in water. To ble H90f 13thM3fS,i k l, u niu ca/ Ay fiM toIc Mfy-oos? ad s d., /64nuti 4: ok y,L y# inir L tej te/g, /00"f G.f 2 ? /.2.2/ / 60 "f 0 924 /.993 I,hs, in 47,4 6 4 ig r p,u a i n in s,gij, a,. l t Q, f[ f =

0. hk ggyp)

Y 0 y,,* = V Yt!-/.22/) JE + t 2 zi = I.yo v . Ed &. So c fcrrn & ll>0 i

MPR Associates, Inc. 320 King Street Alexandria, VA 22314 b Calculation No. Prepared B Checked By lhom~ y aWil.) O /0207CD4WO3 $t.S a cluck of f/us? Voltu 5, / d#WW Ct. /, pag c.. l'70f bh s Ne<pcl kook */ $lt4Mi$ Yllkj $4 5 155 Voltud V, / h e n g's s m fa n f M it, ou upiessem cv Ma fa~ g = P/g s/wu /) s m m lt, 3 i X a mob Ank s @ /95'r~ k (!?S-?2) d 'd : 67.2 *d ' au. e/ oust u, lass 9 @ fo 'd: //g, M = 5to x to' "' * #i y m*%G. /J E,= 8.70 x /0 mm Hgg, y u 0 / mm W /V7 P * ' = 4 - o.oi75y,,;r d 7 loo if STP is ?40 mm fys(/V 7 sta) @ o'c (dea nt, /,pyri) p giny 4, eau bc sca&/as a pe>4efgas pv=niKz 7, : 4to m : m se a n/w c do is % mafor tjss austsud f = M, KV5" Y92. y 3 gg,,,, y IV7114t/ / G' (1.2 at,5v)' em' = 29 3it.2 ew' c 'Tiu wlunu f / lb-mek 7 af STP a SCf,off G ' // 3 7 or in 6>r : 3 5f.01l7x 22314.? en' = /, oifFi rio Le Il-mobQ 5e natuu / kg = 2.Jor /4 mobcutivo n;u g[htw =!$ = = o.a23y /s-- % l2.0/4 'Q,5 l6 +).oi& = 9

MPR Associates, Inc. EMPR 320 King Street Alexandria, VA 22314 p. t Calculation No. Prepared By Checked By /hlysw .(Qi,j e/)

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/02075/J//H03 f to / d! y / / -7 i Kg{o j,opf,ffyto' x o } 39 __ $.0350Tk/D ^ /b-WebN: h-14o y mobsfit j cc Ic$p 10-" Allo Yh*b Uv0

  • 0 Ono! /A< //e

's Insv crusfew/ con de corwr>&c/ /s Me una pnshs ,s othe 85npus < r 7 b 80 Y /0 x 0.0/93 V t f,03[of xio O,qoty j =.

  • y ps i.t.

S k/rwb p,o ynn '"" #3 Jt(srp) "b4 Qc,b-

  • b-so I%%o-0 Th,'s ayue sat / w At i.G #>,6>sca (se z),a 4,es(y gj y, tan Tiu. mod cemwn&vi u<u:h (vs W c;*: law wdori in it toIculo kd. w :

/W/4s /b-tnchs//2 /b -//;0 l w" lll =

0. 0/f 3yx I4V

= 2, 7 f f0/b//' g s-(4 so'ug Ha o f ots conens'nt<, Hu polass fo>u. 84uua. / buonu : & 4 : H, = 6;b ril

z. 7sso
i. ucs xio' '"4L

= n~_ Ik /W/4 i "'"% ob '"d'/a'rG nD,i. Y ** h = [o 7OX lb i 2

  • 75$0 hr' 2

t .7,423 //0 S' p g L) n,sgs

MPR Associates, Inc. l 320 King Street Alexandria, VA 22314 l Calculation No. Prepared By Checked By Y -/ //NU }0207iOWlD3 W.waw / duret. _l_ /b-W0lti / /fy = /P.0/6 N 8 J.W @ 9 2 & //, - //, y, Q G x M x W. M = m /W/g s n o(i If e, /s y,o encl % a / nod //, ade //0 lbgo 2 $ A/ /ff f,y?3 x/b ! /E Ib = V3bSXlO 2 rnchth Il If a $6 cluels tonof f/a /$fk/ kaltus Now bbwu 'I A O Re// llq = 0 975 x lyll / B 3.2 = 2 /"Y per psf ~ ~~~~ tc(50 psi cc/ k, %o 9%o p = /gg.2 x D. 205 = .295,7/ g $ $, th 8 e. a s l YY$,fo (yf

/,YO Y / lY Y Y.10(

= /"'. h, 6*( e 'A 8 ee e ") Ov

+ MPR Associates, Inc. 320 King Street Alexandria, VA 22314 V Calculation No. Prepared By Checked By IO207fbillio3 ) [l A fff,&,/ ' *

  • 26 ag

,e l'/. 7 air ad 02' = 32F - 4'9: 't? (STp) p ~ Me w/uin y / /4-mob o/ { aad 4 m. l Y= ! ' I6'ISIf 2 359..p79,qa y /4-mob. = /V.7 x / V V $tu'a l 0 - (2,S'/* /2) 3 = 2,fj/ 7 Y/O e 3 A/on //<a/ shite lum /f ou/ 4 m /><ak/ss po4dyses cia M.no/e Asa //u s u su satsu 6 /u &. ggg,ogh y 2,13/7 x/0= /.01696t/o v-l 'L 'dd / x Ib mob. If1 So,Gz, //, 7 9 psf Ny = 2957/ xl.oll17x10 = f.ffit,y/o /b mch'% l0l P' $0, el Ib Hs0 dC /g.mg// SSU 7 9 ,ps f

/, = y</ C go e /.01i!7x /6
  • VS*3%gjo

/L-mobIJz /b //so % var &Ss sourus sic /is uloMd god opeenund. Ib L y pur,wsis q % psluahek L mo:/ uuvf (k 4) /3m p.slass l%W bL k '+ < N ' ll#, f,ffgfx/O'

    1. Wl/h-mob //n 1

/h // 0 dy x 5 '/.5332x/O' lWs-nsole/n . I. Nyt /4 // 0 (7_g 3

MPR Associates, Inc. 320 King Street Alexandria, VA 22314 d Calculation No. Prepared By Checked By /02tDTD///lO3 hwO -(24ft),,f P ** 27 f / 5 /Vinicroto 74N/f VoLvu6 I 'Ou nookwp Yauk is n. IcrSes/ e<f nbr ult/c kiroid- // Splancol ends. 7/u dinuosiin g 14 >/sek sup>vvid<d b,,16docucts 5ad C 7)u vv/unu y/A.eYouksno/ dome o/ & cowucDdpipiap on caucidmd a.. dummom Volame of upper /uod('skn w/) oud o//st/ud pas A//tdpipia; 4'753/43 = V o f ci //non?s/psw/fon of /'ou A. K /u nu f [htheta la/ds) .507,202 ft 3 = Vo/ume o/* /o' ure /u oc/ sud n1su p.iny +f',53/,$ 3 = 7o~ +a / % /u nu = 4o3,2C2 G3 fhl fes Volal M iM //Lt(Jojgshij kt-t /gg/c h e n j y p r ip $ quefir thsinf,o fut owe w fa-iapoisf sic 1:.i9 ipib/c l snd to fe ipond in f/v toltu/akous, O

MPR Associates, Inc. EMPR 320 King Street g Alexandria, VA 22314 O Calculation No. Prepared By Checked By -ff//Nauf l0207(OUllO3 / WN / L. Volunu & laad ms ,.), h ni&tedom.- T>- -f,. l -s s {,/ \\?_kby\\ 4 b h c,eanch;, of th & An:a n, \\ is cliew,, in f!v ch h,4 c \\ a. w e /t. ced'a h ef % n4 nu dride 7 nih 4oicionc \\ J \\ 'N, e i)o ' ,1 l 5k N ~ Q l j' H 1 V vb.:51,._,.4 gps p \\ 1 l t 's_ \\ [ ~ ~\\, (

- n scap R

4 yo/unu ekwv/ oV dv=(empfanufdp '\\ dv rn%'pdp f.fl 4 to Wf?' SYfdf 0 $c.'c[ L t* /?- k

MPR Associates, Inc. R 32o ximo street Alexandria, VA 22314 fs Calculation No. Prepared By Checked By la20XkNo? /hhlau,xoW &/dn/ / des'on E 9=$. J ,u - - _ - - _ - - xd9 l' L KdG G 9 & mlunu elenuni dV E~:l'nj________? i a. a'V= 77(a +K% 6fydG%9 [i. &,p:aw,<zm swe u a'v w dk 9k9dB

  • 2n k'Sai9c)9 + 77K'k?Bd9

\\ a Q "A rt; V ' n dK L9d6 + 2nak* Sk=&d9 + irk' hk4d9 g Vo e h. O

MPR Associates, Inc. 320 King Street j Alexandria, VA 22314 d Calculation No. Prepared By Checked By 10207CbilliM / Naivws -hli] r./ 1 Tht. haec dmtusnru s c){ h lu.ocis (% 66cnx 3, pp //-15 ) ' orc gacu />g & 4//oiliuj tubs ' The kn uckh 'todias 4 pee auf cf & ainnuhr l = . The di:/> todia's : /, in lise thsa //u dts mehr. 7/ua is a sf>aiphf flaup y / din benne Hv he/s' h Ha slu//. l listA9 flusc tuh 5 ou d //u ds sit ou/sik tshu's oud //ithitSs e,/lh fork Hu dinuusths of th mWor nlow esu />c e/>Yoo'ircd as ou & 4//ocutap isap Duse expkssioet s sre &n evslao O cl usiai s. N mal /atuoWs pivpwm. /HQ/}ua! /)luAd oT /psse. prinfan' nec incfudc/ ex Na A//cmMJ Paps. l l l l 4 V MsMSoA, lac. /ol.Maiu Shuf 6mbu'/ye, /hss.

i MPR Associatos, Inc. 320 King Street Alexandria, VA 22314 Calculation No. Prepared Checked By / Om n, By ddo]a) loi07TDwo2 / i The /tuad d'moushns sic giten ik ktntS of flu cufide, isof 1Ac ia,dc. a%uustos ndi>, Hu. - A.i fdst/falP&l4$66 ,/ Y ] ~- // Me Huck >uss is / cruded Me geon eby 7 g, is as a o us n, J,c e 4 is g. l lht. Ch4// CUY$,'dc /&t US. i% f \\ \\ !"*k.e \\\\ Noh first f ad a. I do n.i daage ,\\ s L. N m a. = 1 'N If g sa d /<, sie gam e' a 4,n,e or R:, e.g., ' f, A <O x\\ R. = 22, - ce az,e e ma,, k ~ 4 in. \\ r \\ N,=((24) utan G no., & ~.a j ad i M ' s. : de or } 2c A - l

  • 2 2, - Cn - d 1

s kc K. - t e,2f, t ~ e A, -Cx 2k = 2, (I- %) a= e -k, = s b dha f = SM' - S m' ' #s I Y' R, - K. (gg, _(, ) _ g,g iO A 4

I.. - MI' R Associates,Inc. Page 1 32. Calc.102075DHHO3 - Preparer:/ / uo* - Checker: M',L / 370 King Street, Alexandria,VA 22314 W. 7 / MAKEUP TANK GAS VOLUME l This is an evaluation of the Crystal River Unit 3 makeup tank volume. The basic integrals are derived in separate hand j calculations. j The volume of the spherical (dish) cap is the following integral: I 't o I sin ($o)Ecos($o)- cos($g)+ xR-sin ($)3 d$=x R - 3 3 The volume of the knucide region is composed of three integrals: l l 'E The firstintegralis: 2 3 2 sin (0) dD=x a k cos($ ) x a k. 0 40 l '3 The secondintegralis: 2 2sak-sin (0)2 g,,,2 2 2 3 2 a k + x a k 'C 8(+ 0) sin (4g)- x a k 4o .40

  • x D

The thirdintegralis: 3 dO= x k sin ($ ) cos(&o) + fz 2 cos($o) xk-sin (0)3 3 3 0 40 h The volume of the region below the knuckle is the sum of these terms: 2 x a k cos($ o)... 3 2 2 E + x a k + x a k 'C 8(+ 0) sin ($ o)- x a k t o.. + xk sin (f o)Scos($o)+ xk cos(&o) 3 3 The complete expression for the volume of one head, exclusive of any straight section, is then: sin ($o)Ecos($ )- cos(f )+ + x a k cos($o).". 2 3 Vol=x R - 0 0 +fz* a k + x a k '* 8(4 ) sin ($o)- x a 2 4o - 2 2 0 + xk sin ($o)Ecos(f o) + fx 2 cos($o) 3 I. l' This can be evaluated for the specific dimension of Crystal River: 9 Ch := 6 in Ck := 0.06 R, := 48 in t := g in k := C 2 R, - t a := R,-(1 - 2 C ) R := 2 R,- Ch-t k k f R,-(1 - 2 C ) R =89.437 in a =42.24 in k (2 R,- C ) - C 2 Rs. k =5.197 in 4 o =30.094 deg h k i Mathcad PLUS 6.0 TORHEAD.MCD 8:31 AM on 12/29/95 s

1 MPR Associates,Inc. Page 2 !~ 320 King Street, Alexandria, VA 22314 / &y,e f Calc.102075DHH03 Preparer: W/n~ Checker: Oi i The expression for the totalvolume of the head i sin ($o)Ecos($o)- cos($o) + + x a k cos($ ) - 3 2 Vol := x R - 0 3 2 2 2 + x a k + x a k 8(4 ) sin ($ o)- x a k 't 0 0 ,i + x k sin ($o)Scos(f o) + x k cos($o) 3 3 4 3 Vol = 6.9800410 in The head also has a straight extension of length, L L := 1.5 in i l 4 Voix := x-(R,- t)2L Voix = 1.06043710 in' f The total volume of one head, including the straight section, is then: Voltot := Vol + Voix 4 3 Voltot = 8.04 10 in' orin cubic feet: Voitot = 46.53053 A ,l l The volume of the cylindrical section of the makeup tank is H := 10.25 A D j := % in 3 I'd-D 3 Voleyl:= x-H Voleyl =507.202 R 1 4 The total tank volume, exclusive of attached piping and the manway space is: l Voltank := Voleyl + 2 Voltot 3 Voltank =600.263 A i ii !I i I l \\ 1 t Mathcad PLUS 6.0 TORHEAD.MCD 8:31 AM on 12/29/95

l ~ MPR Associstas, Inc. 4 320 King Street i Alexandria, VA 22314 Calculation No. Prepared By Checked By to207SoyHo3 haiw -tbG/dt/ N /'

d. ittowarious to Taa t/owus

/n &rniaRon pon'dic/ fy A.Clauson (doc 2 ):raninknyc/ H.i / ins comu tbo' /0 Mc walec p.p 1'snk ss 4//om : I l l l l OETERMINATION OF MUT CONNECTIONS IN THE GAS SPACE I I DESCRIPTION OF CONNECTION Size Area (f t2) Length (f t) Volume (ft3) Tank to MUV-134 l 1

  • Pipe 0.00499 24 0.11976 Vent line to CE-118 Point 3/8" Tube 0.0003 126 0.0378 Tank to MUV-141 & 143 3/4" Pipe 0.003 14 0.042 Tank to MUV 180 1" Pipe 0.00499 18 0.08982 MUV 180 to MU 17-PT 1/2" Tube 0.0007 9.5 0.00665 MU 14-LT upper conn.

1.5" Pipe 0.01225 10.33 0.126543 Tank to MUV-139 1

  • Pipe 0.00499 1

0.00499 Inlet pipe support 10* pipe cap 10" Pipe 0.4989 0.29 0.144681 l TOTAL CONNECTEO VOLUME 0.572244 I) v VC H t Y Yl/$ COflettfd @ /$ l/t & f o t* $Vf C o ft10 /1/9 f FAc Mo/ Va/wm nivo/nd is m&pai' cioli / t o,n,;roi v d 14, Wo / yank Vo/imu q' ~ doo 43 %c is oleo s/Mous/ vo/ame in m fos,k in Na monwayhed Hist soun/ eonyoeusab /w Hub H/ww.

  • /h voisirr.< esn de edaubd 4 a cynndw

,_. m., LE{,tj a 1 : p. it d ' ] Vol: 'l l'/;f k._ Er % psi 71csce c/ tAs eo/eu/oNon Nie pyitus, 9as u/unu tv,'I/ /x lohn ns /.o 43 os,/ W// Ja, in </h/, s/did 4 f/u pfpv /uod. 7/u Vo/unu /w /4 susows e, /uod tu'// de oppr:>dhoofd M af,o // 3 sd W// h sMd & //u Jonen Aiod. OV

MPR Associates, Inc. 320 King Street l Alexandria, VA 22314 Calculation No. Prepared By Checked By -th/J:./ Io207Sb1/1/0? g,, / 1 d, Anius VoLuuG inoM AIA'KBi$ T/:A.Nd 7b /JE-IA) / 0A)1: This ;teckov d4rmina % psynp w/uw hud o, 4Awuo 4. - ff'C brawing PI-30f-flo, sie I g 2, tw; O " dom Mobap Tank fu Hakup furnp facRon, " The kste nuiAod adllbe h ddansiiu Hu Nukelin liuylt oud enutQte, i( hy Hu ewsgedra/ oou. <l& 4-ik iwntuoI ipc. p Thepipi'a9 A o// Vm Iron,.w ' 4m t'e f /s Mo o s'- ] 19, y,3,, _;,9, ; yy _ g,9;[ OD = o. 2 3 7 /n. ) /+a // (} Ain = (Mia o - 2 < D 2 3 7 )t r rr. _,p,73 o,, z

'233 0, o.oreyo,q

/W 6//>ow Ley &. r/s'r = /. g e - o,g 4., ecu krfgre /epp%g, 90'el6ows L,= E_17 Y = 2770.5 g,,pgy 4, y + 4 t/S" elbows l et., = 277 0,5. y, 3y,4, !~ M PV-Tk ( = /V 50 -0.To = /V00 4 Elo-4 90' ? l L = 0.786V A l ~ 0r P/2-/s j L. = 1, So o + 1. 000 + 3.26 - 210.500 = % A l ie tvJne possl4/c IdteWadby donor: tuorkedor relawa desway /.fiu, De#jk- i

= _ _. j MPR Associates, Inc. MPR 320 King Street Alexandria, VA 22314 [] Calculation No. Prepare,d By Checked By Pm f d-2 loto750Wl03 WN.im YAbAd ~ f i E/0-/2 - 7e' L =

0. 7/f y 4 75 yee an n - /?we,eM.9 tfH +&3 sal 4e- (h<anWpyb)

L = 2r Ml2i;, F2'//jz r 0.j f6 7 4. = P29-:7 isse i L = / 3333 +.? 5 7:l + 0.?937 - c.! -o. 4 64 7 L = 3.5b33 4 .~~ /Auv c/u ck wh< [6c,/ 4: # eve) f L = /. / 6.6. 7 4 G l I 0 32 '3 Y - u /o e / bow

  • 1 6

'~ s l = 3.00 + 4Yff - 6. f'i'T # L = 3.4YW-0,207/ : !Y??7 4 / l _l ' kn 2.5 * $3/.3V

0. r e

L, p,;9;7 p e = 0, 5 4 ' 5 2 'I' r O.co;/ 4 ~~ 0 37-?6 G< < as bu& ) L = /. co o .2 x 0,207/ = 0.5/5f 4 = GE9-87 97 b ' O'3?27 A ppW-it - f = /. /0 Y: + 0. Y/4 7 - 0 20 7/ = I. !!!__? 4 ~ -- Q /wo ?-b Y L. c 2 1 0. 6 & & 7 = /. ? ! ? c' 4

MPR Associates, Inc. MMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepa(ed By Checked By l02075dNW03 h(j.)<,) " 57 yu n /56-W nhe ho c/ bow [ L = '/. /&&7 + 0. 3 533 + 9 750 t o.f 333 + 9,64 & *7

  • 't. 250 +.7,0 +'/a St 33 + 7 50 - o,g t,t,7 -0,5 f=

4'la9/7 A ECC-54 fb* L = 0. 7tCy d ~ p gg.g 5 a L = 0.921f +9,500 tio.oc> +.? ou - 2 x o,g =.21,3227 4 E 67-G S 9o * ( = 0_. 7 F C V A $69-b7 - as bui// L = 2 5 3 s3 - 2 ' o. T = /.53 53 4 G')/ - 49 90 ' L 0... 7.7. 5.'l. 6 v !'Hi-7/ ' '. ' ' - 6 e k' Y n >

  • 4.:

AmE E4? !?;q % 's: n.: L = . cs c - e, coa - 6oM

2. /?.

L - /.cou - 0.7 517 : o_34y3 4 N

  1. =h Y
  • y

$4 e 9 e ci,9 i.c w am n M-i.r poir,t., 'estna'Suu;-nit, is a y len/ nrngisi gren &v /ft o et Em is o , V.ol' t n {n= /. S + L#E6 /. 66 7( A. c .2 w n e l tO 4

a. MPR Associates, Inc. 320 King Street Alexandria, VA 22314 OV Calculation No. Prepared By Cryecked By /fWei -/jfsd:) OS Io20?rbHHo3 ( Tkse va/tu.s sn t.o/ Lei &d in a dynas's/iecf,"11Aac /At Volunu of each tegnant au d componentis csKluoGc/ ac anter/inc /eup/A > swn.. i /.25 % 4 3 i I/olunu in I4 H o Kco / ru n L I Vo /u nu in /ou i A s,o ir, Ys i eu n

7. 59'Sf 4

= (odeibow /v per,h'us/) V Volu iu in run up h b in'p r f d ' o,IS SS 43 (ono'elbo w h Aos3. s /) 6' u'u //u 7'vYs / /rsi'ay Vt r/c pohi.nu is,c foo li' t 0 Wase ade%not w/unuc sic se

minor, fosiseytwd,

y //w c tynt h ////h &<f/vr n/a A'on ix,sicssw c as L. ss in A insh+p % k tipsede inA> trin p,p,s3, cien p# /> expsuds is/o //u /ou,<. Ani cw/s/ ma, 3 Gi-ci, f/us Muid lu&uas< % nfiana A, cn/y/ // sward repuhe L-s Lou / cw perua/'. /n c>x/ce /o hoa &/ a/ nu sc/dt i& tu k pos injle A*ay A> b naaad h /ess Wu /* S' fee /. l m i'ee/, ;/Ae p,),*ep 1-e/aimlou. as Hu msigs'n tu.ed 9 1e o//piusb!< pisswe u & maltup l/rnew c/ a sek esp & y& sok. i mG + Quotfic Ao Is L.o, g

. _.. - _ ~.... -.-.. -. - ~. - -. -.. - - - - - -. , is. 102075DHH03 MPR ASSOCIATES,INC. pgg 37 - MUT to - Tie-in Item ' Nominal Comp. Drwg Elevation t.ength Volume 1 Size Type Ref In Ft Ft Cu Ft T4 6-4-6 tee 860 104.5 ) PT4 71 4 pipe 860 vertical 0.7473 0.066061 l E7169 4 90 elbow 860 vert-106 0.7854 0.069429 i Sum 1.5327 0.135491 1 f P69-67 ' 4 pipe -860 106 1.3333 0.117864 1 E67 65 4 90 elbow -860 106 0.7854 0.069429 P65-58 4 pipe -860 106 21.3229 1.884944 E58-56 4 90 elbow 860 106 0.7854 0.069429 P56-44 4 pipe -860 106 41.917 3.705463 MUV-64 4 gate viv -860 106 1.3334 0.117873 PV64 39 4 pipe -860 106 1.3138 0.11614 E39-37 4 45 elbow -860 106 0.3927 0.034715 P37 36 4 pipe -860 106 0.5858 0.051785 E36-34 4 45 elbow 860 106 0.3927 0.034715 P34-32 4 pipe -860 106 3.4387 0.303981 + MUV-65 4 checkviv -860 106 1.1667 0.103136 P29-27 4 pipe 860 106 3.5633 0.314996 TS 4 4-3-4 tee -860 106 0.6867 0.060704 E1012 4 90 elbow -860 106 0.7854 0.069429 P12-6 4 pipe -860 106 4.75 0.4199 E6-4 4 90 elbow -860 106-vert 0.7854 0.069429 Sum 85.3386 7.543932 P4-MUT 4 pipe -860 14 1.2376 NMUT 4 MUTnozz 860 120.5 0 0 i Sum 14 1.2376 b,.*.+rir'/' w.we heekM h hot 1 f n O QuattroPro Win 6.0 CRPIPE.WB2 11-Jan-96

, se. ~ MPR Associttes, Inc. 320 King Street c-Alexandria, VA 22314 Calculation No. Prepared By Checked By /hspA his}ch 10t075D//i/o3 / 9, Mma up 7/we levet-Votuw det<nos). fr~om flu toleulakm(Af 3) Nu raye of nahi-y Lk leve/ h 0 h /oo isiclas and o is flu. unterhu. 1 of Hu boHom firsbuin.ev/ izqg&, // //ic ele yaA on or //g bo Nom or flu sapper / &p a o/ il9. T 4ef a s inc//co&d em.a'razutuy M -lo o C7, /& 4aua. E, Nan Hu c:/cya A'cn q(k p are 2,4oin. f/u. Ae//o m 6 cta54'r/Su is iad anu,is / n9 g Le4>cau. 3, atta d,mru/ /, sk.af : -j /P. ) E, = // 9, 5 + 3. 2 9 + 0, / ? = /22 9.' 4, l The yo /umc ptr /b of in //u ceflindical cct$cy. N 6~o 7. 205 ,qs Y9,(ifil c l / 0, 4-A i % pap 33 y flub eofealakm. or s e s e A.tek - inbia 6 x : 94 - 2r 3f = %,il;>, f:{(f)=41.VfHOg So yolu m.e below g' of no336. y=V + 0, /3 < 49. Y23 2 V, = t/t.cgi + 4, q 3 2 r = 5'/, 9(,3 7 4 ' Vslanu oIeit i,,l n o,zl,s:n,tu, Vp,i y7.9y 93 s .. con Vu = V 7,53/ + (/ o, z s '. ts ) y 9.'183 2 =' 591.3o/ G 3 C) au& < < = a c a - n u s e s u s o i.- v e. u w ~

n. ~ MPR Associttes, Inc. R 320 ximo street Alexandria, VA 22314 I Calculation No. Prepared By Checked By 4 /02075wl03 Wdn SYbh) l / l di Ost / cec / (of f d) ar$3 6) 54 f.10 / tr# ~- 0,90ff = 4 0 3, ;!,,2 4 M 100 inclus //e pa Volume is bss. Ay A V' = / 0.e 4 9. 41 5: = yt2, 340 45 /.2.

so i.[

= S'/t.20/ - 9'/2,34 0 = g,gggy do t. :! z So W %m = Me lealin flu inskcup fod, ik thlus //l'a s = f +' f. ? o / X ". 9 9. Y f ! 2 /2 (# _ s yt.!ot Ty 4'4 yf5 2 eu b o 3. :42 LC = 0,9of9 - d. 85SSx x/6' m I lG - 0 f orf - 0. 00425C[ Xm Wl1ua:. (( is & IboH'o / ga$ Vofurnt h el'rn. on a' >',,., is W rnoksup kle k/ix m).es, OV

MPR Associatas, Inc. 320 King Street o Alexandria, VA 22314 Calculation No. Prepared By Checked By /0E07S0////03 l$hw '0&}e/ 7 / 6, /?E/h~t2EDCES /. //andlood of' 6' rem 66:r om'/91ysics, W 0 &~f d/aiwe'at dubbe t%b/Nhop to, d/e>< /ou f / 94:. 2. 7 S. /2ndtyscH, "do rrc la l'crn s / So/uhilih botc<. f be llq ds v$. cu oud /Ji%.ex th b)eib e, Travs. Arn. 5 .//ac. Soc., Vo / l0, pp 507-1, f. tov 19t,7 3. f/o r, da. /}o we r (orporaken do/culaNem M99-o o5 3 /!w. 2, 'd//oissh/c MUT-/ lndiubc/ dikistisas ' Vs. f Aid ub e' le s c / Je'ssu /fft ~ rm /.?ll'/ /hreim/ 5thn4.gic*t, 'klatir Clamin, Wuo/ Av /7774 f/m + & lEt-/?/S Pu d Osceir$ir if?:. (/]/L4nau t 4,4. /$ 4><a a 3 oLoi c ). 6' /Ba t%/o 7a~ u k browiny M -4057, /3dhl (Note fhn drawug is steg poor efooloh; p Lk w a'Fowtuf 6Ec? 0@7, %-W ool 6s' "/Jtsku f l oud come dimeusisus ort Yobu Sow 6/; 3 ) l fo. EfM droiviug, PI-30$ flo, u. //) 2. /fw. o ~ l

  • from Makeup 7ew/c h hoktop I'unp Suc&s. "

'l 7"a buisr in Arrwad'ou p> wad b D.I/,hl /visom (MM) o bir A Scisusm (FPt.) en Deu"'W 7. !!FC !, O \\ g 1 .i

3FoH& -02. &closu ce Z EEMPR O A S s O C I A T E S I N C. U ENG1NEERS January 24,1996 Mr. Paul Tanguay Director, Nuclear Engineering and Projects Florida Power Corporation Crystal River Energy Complex 15760 West Power Line St. Crystal River, Florida 34428-6708

Subject:

Crystal River Unit 3 - Review of Calculations of Maximum Allowable Makcup Tank Pressure

Dear Mr. Tanguay:

At your request we reviewed Florida Power Corporation calculation M94-0053, Revision 2, i " Allowable MUT-1 Indicated Overpressure vs. Indicated Level," as well as some material that is being prepared for the next revision (Revision 3) of that calculation. The results of that review were forwarded to you by our letter of January 11,1996. The purpose of this letter is to forward two additional calculations reporting the results of additional work on that subject. The two calculations are as follows: Calculation 102075DHH04. " Combination of Makeup Tank Pressure and Level Errors"-This calculation evaluates the use of a statistical (root-mean-square) combination of the errors in the makeup tank pressure and level instruments, rather than assuming that holh the pressure and level measure-ments have their maximum errors simultaneously. The amount of additional head margin that would be obtained by use of the statistical combination varies between 0.6 and 1.7 feet, for most of the level range the additional { margin is more than one foot. Since the current margin is selected as 2 feet, the additional one foot is a significant increase. Calculation 102075DHH05. " Potential Uncertainty in Total Head Loss from BWST to Makeup Tank Tie-in"-This calculation evaluates the potential uncertainties in the head loss coefficients calculated in 102075DHH02. If these estimates of the potential uncertainties the loss coefficients are combined for the various types of components (pipe, elbows, valves, etc.) in j t 320 KING STREET ALEXANDRIA, VA 22314 3238 703-519 0200 fax: 703-519-0224

_ _ _ _ _ _.. _ _ _ _ ~ __ _ _ l~ j Mr. Paul Tanguay January 24,1996 i i the manner usually applied to experimental errors, the maximum uncertainty l in the total head loss of 11.87 feet is calculated to be 0.94 feet. This is well within the margin of 2 feet that has been provided in the determination of the maximum pressure. In addition to the calculations, this letter includes as an attachment, a table that sum-marizes how the available elevation difference of 19.92 feet between the surface of the BWST and the point at which the makeup tank ties into the suction line has been allocated. As indicated in this table, the only part of this allocation that is not a fixed (i.e., not uncertalu) quantity or an upper bound value, is the head loss of 11.87 feet from flow in the 4 l piping, which has an estimated uncertainty of 0.94 feet. This comparison demonstrates that the margin of 2 feet that has been provided in setting the maximum allowable pressure is more than twice as great as the margin needed to cover uncertainty. In considering the margins necessary in the setting of the maximum pressure several i qualitative issues also need to be considered-t i A excessive margin in the pressure may reduce the ability to maintain hydrogen in the reactor coolant and that, in turn, could affect the reliability of the reactor coolant system pressure boundary. Conversely, it may increase the difficulty for the operators to maintain adequate hydrogen, increase their operating burden, and thereby divert their attention away from other activities. 'Itat is, excessive margins in the makeup tank pressure could increase the probability of events which will challenge the safety design of the plant. Although the makeup pumps have been demonstrated to be incapable of operation with large amounts of void, e.g., as from operation with a closed suction valve, they probably can accept some modest amount of voids without catastrophic failure. The rate at which the gas from the makeup tank can be drawn into the suction of the pump will be inherently limited, at least when the level in the makeup tank first drops to the tie-in point. For example, as any gas passes through the pump, the liquid flow in the piping will drop, the head loss will be reduced, and the pressure at the tie-in point will rise and, thereby, tend to cut off the flow of gas. Furthermore, any gas from the makeup tank that passes through the pump will reduce the pressure of the residual gas in the makeup tank and, again, the pressure at the tie in point will tend to rise to limit the flow of gas. Although it is clearly prudent to design on the basis that gas is not acceptable, there is little incentive to provide a large margin since the basic premise of failure at any gas entry is certainly an upper bound assumption. 1

l Mr. Paul Tanguay January 24,1996 Even though the two foot " margin"in the makeup tank draw down calculation may appear small in relation to the margins in some pumped fluid systems, it appears ample for this j application when compared to the potential uncertainties and when other qualitative l i i considerations that affect the selection of the margin are considered. l l If you have questions on these calculations or this letter, please do not hesitate to contact us. l Sincerely, O l Dwight H. Harrison i l Attachment l

Enclosures:

MPR Calculations 102075DHH04 and 05 cc: Mr. R. Clauson, Florida Power, w/encls Mr. K. Ledzian, Florida Power, w/encls l l I

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4 Attachment to O uen t 'ier er January 24,1996 ALLOCATION OF AVAILABLE HEAD DIFFERENCE BETWEEN BWST AND MAKEUP TANK TIE-IN 'T ITEM HEAD UNCERTAINTY FT Total elevation difference available 19.92 Actual value, no additional margin between surface of BWST and tie-in required, operating procedures to makeup tank to accommodate account forinstrument errorin draw-down of makeup tank level BWSTlevel Reduction because of possible below 1.00 Upper bound value, no additional atmospheric pressure in BWST margin required Reduction because of total head loss 11.87 Estimated uncertaintyis 0.94 ftW due to flow from the BWST to the makeup pumps Reduction because of conversion of 0.69 Actual value, no margin required total head to static head at the tie-in point (Bernoulli Effect) 4 Head allocated to accommodate 4.36 Upper bound value, no additional residual pressure in drained makeup margin required since limiting tank expansion process and initial conditions used, instrument errors in makeup tank pressure and level incorporated separately Margin available to accommodate 2.00 Value is approximately twice the uncertainties uncertainty of 0.94 feet in the head loss Note (1): See calculation 102075DHH05 O ,}}

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