ML19317H489

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Transient Boron Concentration Analysis in TMI-2 Mini-Decay Heat Removal Sys (Mdhrs)
ML19317H489
Person / Time
Site: Crane 
Issue date: 05/23/1980
From: Jasani K, Sheu J
METROPOLITAN EDISON CO.
To:
Shared Package
ML19317H488 List:
References
FOIA-80-301 NUDOCS 8006110148
Download: ML19317H489 (18)
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TECHNICAL DATA REPORT

PROJECT NC.

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PAGE OF if PROJECT:

DEPARTMENT /SECTION E :1 eari 2 Ns r* " 4-0C-2 RELEASE DATg 5.,3-30 REVISION DATE DOCUMENT TITLE:

ansien: Soret. cances::ation Analysis 1: DC-2 Mini Decay Hea: Re:cval Sys:e= (M::ERS)

ORIGINATOR SIGNATURE DATE J. ?. Sasu APPROVAL!S) SIGNA,TURE. (

CATE

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DISThiSUTION A8STRACT:

p 1.

3:1ef Sea eeen: ef ? oblem R. C. A cid J. J. Ear :

To svi:2 fro: de natural convec:1== cocling ::de of de G. R. 3 cud OE-2 reac o coola=: sys te: :s the forced circula: ion f::

G. R. Capoda==o decay hea: re cval, de Pd ' Decay Hea-Re:cval Sys:e=

p, g, c123 (MDERS) will be used us:11 de reac':o has been ce=ple:ely D. K. C : eberger defueled.

J. C. DeVi=e

3. D. I.' a:

As a result of this si: a:ics, an analysis was perfcr=ed R. '". Gm to ensure :ha: the boros conce:::a: ice everywhere 1: :he K.

F.. Ja.m i reac:e vessel, especially in de core, is higher da R.

'a'. Keate 3000 pp= (technical specifica:.c= recuire=en:) all :he 1==

G. Kunder during the ::a sie : a d steady s:a e opera-ics of MDERS.

J, y, go;.

Th e ef f ac: of flov ra:e ce bore: cencen::a: ice was also

.A. ?. Rochino studied.

J. ?.

o-g,steLa,+ W Q2.

Su==a r of Kev Results

..,, son

c.. :.

w__

C: serva:i== ecua:10:s cf energy and = ass were applied

o 15 volume ele =e :s :c=prising the CERSg..:re bea:

genera:10: duri=g ispril,1980 was 5.5 x 10" 3:u/hr. a d c 1d leg

e=cera:ure was assu=ed :: be 1007.

ylov ra:es j

oi 10, 20, 30 and 120 G7M i: :he sys:e= vere c esidered.

Significan: find 1=gs are lis:ed below.

1.

he ci d u= beren ::::e:::a-ic: 1: :he reac:::

ressel is app :n=a:ely 2575 pp: f:: all f1:v raras be: vee: 10 and 120 gp=.

bvicusly, he :echnical specif1:a:i== recuire=en: cf 3000 pp= has been sa:isfied.

2.

-'he s:eady s.a:e bcr:: conces::2:ics is 3705 pp=

f:: all fiev ra:as ha: vere :::sidered.

3.

(

~he :i=e seed?d := achieve s:cady s.2:a (c=1for=

bc :: :: centra---a '-

'e e::1re CE25) are depic:ed i

h o /Mf"'

a nna l cCOVER ? AGE ONLY i

-W,

TDR 155 Pog la A5STRACT:

(continued)

Flow Rate, GPM Time :c Achieve S:eady S tate, Hrs.

10 94 20 44 50 18 120 8

3.

Cenclusions The resul:s of this analysis has generated :he fellowing conclusions:

1.

The he: leg :e:pera:ure decreases vi:h :he increasing flev rate for a fixed cold leg temperature.

2.

The minimum boron concentra:1on in the reae::: vessel during ::ansient and steady sta:e operation of :he MDERS is indeoenden: ef flow rate and is alvavs treater :han 3000 o== vnich is :he :echnical specifica:1cn requirement.

This valve is insensi:1ve :o :he nunber of volume elements that were u:ilized :c nodel che reac:cr cere.

3.

The steady sta:e boren concen::a:1on is independen: of :he flow rate.

Ti=e required := achieve steady sca:e in the HDERS varies inversely with the system flow ra:e.

4.

Reco=mendation I: is recommended : hat a moderate flow rate of 50 run be utilized durine s: art uo of :he MDERS :o afford reasonable and suffician:

time :o assess any unusual trends that =ay occur in the reac:cr vessel during the transient phase of the operation.

D.,

TDR 155 Faga lb T7Jd:S!Ihi 3ORON CONCINTRATION ANALYSIS IN TMI-2 MINI DECA? EIAT REMOVA. SYSTM /!DERS)

TA3LE OF CDN*ETTS Abstract Title Paee No.

1 3rief S a:emen: of Problem 1

2 Su= mary of Key Resul:s 1

3 Conclusions la 4

Recc=mendation la Section Purpose and Summary 2

Me: hods 2

III Ivalua: ion 2

IV Rasults 7

V Conclusions 8

VI Recot:menda: ions 8

VII Ref eren ces 9

VIII Appendix A Soron Concen: ration Analysis in TMI-2 14 3

MDHES 15 Figure 1

Initial Condi:1cus of Soren Concen: ration for Differen: Volume l

Ilemen:s of TMI-2 Mini Decay Hea:

Raceval Systen (MDERS) 3 Volu=e Ele =ents of M-2 MDERS 4

1 1

1

  • 3R 155 Fogo 1:

TABLE OF C0hiENTS - Con:inued Figure 3

Transian: Varia: ion of 3oren Concentration Inside :he Reactor Vessel.

Volu:ne Flow Race = 10 gym.

10

/*

Transien: Variation of Boron Concentra:1on Inside :he Reac:c:

Vessel. Volume Flow Race = 20 11 spm.

5 Transien: Varia:1on of Boron Concen::a:1cn inside the Reac:or vessel.

Volume Flow Race = 50 g

gym.

6 Transien: Varia:1on of Boron Concentration Inside the Reactor vessel. Volume Flow Ra:e = 120 gym 13

D T. 155 Page 2 I.

PU'?OSE AND SUMfARY To switch from the na: ural convec: ion cooling mode of :he TMI-2 reac:c:

coolant sys:em to the forced circula:Len mode of decay hea: removal, the Mini Decay Heat Removal System (MDERS), vi:h flow pa.h shown in Figure 1, vill be u:ilized un:11 he reac:or has been completely dafueled.

As shown in Figure 1, some of :he flev pa:h volume have low boren concentration which can potentially lower :he boron concen::acion in :he reactor vessel.

Conservation equations of energy and mass were u:1lized in analy:ing deosity changes and varia:1on of boron concentration during transient and steady s:a:e operation of MDERS (Reference 5).

The W ~~

required boron concen::a:1on of 3000 ppm in :he reac:or vessel per

~MI-2 technical specifica: ion vill be checked to =ake sure :ha:

this has not been violated any time during :he opera:1cn of the N.

The ef f e c: of flow ra:es on the ::ansien: and s:aady state varia: ion of boren concen:ra:1on were also considered in the seu y.

Me: hods of analysis, results, conclusions, reco=menda ions and reference vill be highlighted in :he following see:1cas of this Technical Data Repor: (TDR).

II.

ME* HODS The following methods were employed to analy:e :he opera:ing MDERS vi:h differen: flow races.

1.

The MDERS was divided in:o a fini:e number of volume ele =ents.

Figure'2 depic:s 18 velume eleme=:s. The reae:or vessel core has 6 elements.

2.

Energy equation was applied to eacn elemen to de:er=ine the

emperature and densi:y dis:ribu:1ons of reactor coolan: in the MDERS.

3.

Mass balance, vi:h a consideration of densi:y variation of reae: r coolan:, was used for each elemen: to deter =ine :he dis:ribu:1on of boron concentra:1on during ::ansient and steady state operation o f th e MDERS.

i III. IVALUATICN A.

Ec: ' ag Temeerature "his evalua:1on assumes a cold leg ta=pera:ure of 100*y and utilizes :he following assumptions:

1.

Heat loss through the reactor vessel and piping insula:ica is negligible v :h respect :o :he hea: generated in :he reae:c core.

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IDR 155 Page 5 2.

Once :he MDERS is in operation, coolant flow vill be in s:eady s ate, and hea: ex:: acted fror. the MDERS heat exchanger is equal to :he hea: produced in the core.

Consequen:1y, the coolan: :empara:ure and density are uniform vi:hin :he elemen:

during. :he ::ansien: opera:1on of :he MDERS.

The fits: law of thermodynamics was applied to each element.

Consequen:1y, the increase in enthalpy or :empera:ure can be evaluated as a result of heat addition to each element.

The energy balancs in each elemen: is expressed as follows:

4 = i (h, h, 1, i)

(1)

,1.

Where: 4 = hea: addi:1on :o each elemen:, 3:u/Sec.

i = masa flow ra:e of reae:c: coolant, ibm /Se c.

h,,,, = Coolan: an:halpy a: the lover boundary of 1 elemen:

h,

= Coglan: en:halpy a: the upper boundary of 1 :- elemen:.

The coolan: dens 1:y for each elemen: vas deter:fned from steam tables considering dae coolan pressure and ta=pera:ure. These are consequen:ly used in the mass balance of boren for each element.

B.

Boron Concentration:

This evaluation is based on the assumption that mass concentra:1on of boron is unifor= in each volume element. Forced convec:1on due :o pump ac: ion and natural convec: ion due to heat generation in the reae:ct vessel core can provide a good mixing of boron for each elemen:, which ecusequently make this a realistic assumption.

The ::ansient variation of boren concen: ration in each element depends on = ass flow ra:e, difference of boren concentration be:veen inle: and outle: of each elemen:, and :otal nass in each element Conserva: ion of boron a: each element can be expressed by the follioving differential equation:

dC i

( C,. - C, )

i

-a d.

f, 7, (2) o l

Wi:h :he ini:ial condi: ion, C = C, 0 k~here:

C, = :ime dependen boren concen::ation in elemen: 1, l

1 1he boren/lbm coolan:

C,,3

ime dependent boren concen::a:1on in elemen:

=

  • ~

1-1. Ib= boren/lbm coolant.

=
i=e, sec.

~.

~DE 135 Page 6 i = Mass flov rate of coolan:, lbm/sec.

f=

Coolant densi:y in element i V

Coolant volume in element i

=

CC Initial boren concan::ation

=

dC When steady state is reached, the unsteady term, d:, becomes zero and consequently C

=C.

This i= plies :ha: during steauy sta te, g

boron concen::ations for the whole MDE?S cornerge to a single value which is independent of = ass flov rate.

Application of equa: ion (2) o each volume element results in the f ollowing set of ordinary differen.ial equaticus vi:h the consequen:

initial conditions:

Initial Conditions C

D (C

-C )

=

0, C; = 3800 ppm yg 1

=

62*D2 (C; -C )

0, C2 = 3800 ppm 2

=

b=D3 (C, -C )

0, C = 3800 ppm 3

3

=

3 Dg (C3 -C )

C

=

0, C = 3800 ppm g

4

=

3 C5"DS (C; -C )

0, C5

  • 3800 ppm 5

b=D6 (C5 6

=

6

-C )

0, C6 - 3800 pp 5=D7 (C6 -C )

0, C - 3800 ppm 7

7 7

5=D3 (C7 3

a 3

-C )

0, C = 3800 ppm 8

5-39 (Cg 9

= 0, C = 3800 ppm 9

-C )

9 d10 " U10 9 10)

I

-0

= 0, C

= 3800 ppm 10 53 3 (Cg D

-C

)

= 0, C,

= 3800 ppm

=

dg 3 (C

-Cg)

D

= 0, Cg = 3800 ppm 513 = D,, ( C, 3 -C,3)

0, C;3 = 1500 pp

d, = D, (Cu -C15)

= 0, C, = 2250 p p 1

1 1

dg=Dg (C ; -C15)

= 0, C

=0 g

d,6*D'5(C3 -C16)

= 0, C1g = 2C50 pp C,.

= D.. (C, -C,7)

0, C,7 = 1500 p;

.a i

.o 3

=D33 (C,7 -C,3) 13

= 0, Cl3 =

50 pp l

TDE,155 Pagre -7 Wh ers:

dC C, =

1 d:

(4) i 5 "h V 4-si i

'Jalues of C and f were calcula:ed for each element at differen flow ra:es. Resulting system of s1=ultaneous differen:ial equations were solved numerically using :he compu:er code depicted in the Appendix I.

Sample outpu: is also shown. Flow rates of 10, 20, 30 and 120 gpm in :he MDERS were considered.

IV.

ggst;;g A.

Hot Leg Temuerature The consequen: ho: leg te=pera:ure for each flow rate are depicted in :he table below.

These resul:s are based en a coolan: te=perature of 100*? in the cold leg.

Coolant hass Tiow Ho: Leg Temperature

  • Rate. GPM

?

10 210.5 20 155.4 50 122.2 120 109.2 3.

Boron Concentration Transient and steady sca:e values of boren concen: ration for volume elenea:s 2, 3, a and 9 inside :he reactor vessel are shown in Figure 3, 4, 5 and 6 for volume flow ra:es of 10, 20, 50, and 120 spe respec:1vely. Key resul:s are summarized below:

1 i

i

TDR 155 Page 8 1.

  • he minimum boron concen: ration in :he reac:or vessel is approximately 3575 ppm for all flow ra:es between 10 and 100 gps. Obviously, :he technical specification requiremen:

of 3000 ppm has been sa:isfied.

2.

The steady state value of beron concen::a: ion is 3705 ppm in MDERE for all flow ra:es.

3.

ne :1:ne needed to achieve steady s.a:e, i.e., unifor= borou concen:ra:1on in :he en: ire MDERS,are tabula:ed below.

Flow Rate Tire to Achieve Steady GPM State, Hrs.

10 94 20 44 50 18 120 8

V.

CONCLUSIONS:

This investiga:1on has come up vi:h :he following conclusions:

1.

The ho: leg :empera:ura decreases with the increasing flow rate for a fixed cold leg temperature.

2.

The minimun bcron concen:ra: ion in the reac:or vessel during

ansient and s:cady sta:e opera:1on of the MDERS is independen:

of flow ra:e,and is al7ays grea:e

han 3000. ppm which is -de
echnical specification requirement.

This value is insensitive to the number of volume elements :ha: vere utilized to model :he reae:or vessel core.

3.

The steady srate boron concen::ation in.ne MDERS is independent of the flow race.

4 Time required :o achieve steady sca:e in :he MDERS varies inversely

{

vith :he systa= flev race.

1 l

V!.

RECOMMENDA'"!ON:

l i

is reco== ended :ha: a nodera:e flow ra:e of 50 gpm be utilized during star: up of the *.CERS :o afford reasonable and suffician:

l

i:ne :o assess any unususi rends tha: nay occur in :he reactor vessal during the transien: phase of :he opera: ion.

l l

TDR 155 2 ACE 9 VII. RITIZENCIS (1)

Calculations for Inicial Value of Boron Conen: ration in the Mini Decay Hea: Removal Systa= dated March 13, 1980, R. Skill =an to A. P. Rochino.

(2) Three Mile Island Nuclear Sea: ion Uni: #2, System Descrip:1on TS-27 by Burns and Roe, Inc., W. O. 3475-35, November 16, 1979.

(3) Docke No. 50-320 He:ropolizan Edison Company, Jersey Can ral Power and I.ight Conpany, Pennsylvania Elec:ric Company - Final Safety Analysis Report, Three Mile Island - Uni: 2, Volume 5.

(4)

B&*J Draving No. 1364382, 103098D, and 136428E.

(5)

GPUSC Calcula:1ons No. 3790F - 3:2C - 301, "3eron Concen:ra-ic: Analysis in ~MI-2 Mini Decay Hea Removal Systen" by J. P. Sheu, March 27, 1980.

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