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ORNL-4191 - the Molten Salt Energy Technologies Web Site

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0 30<br />

- 0 25<br />

?<br />

-t<br />

us<br />

E 020<br />

+<br />

W z<br />

3<br />

E 0.15<br />

V<br />

z<br />

><br />

5 010<br />

c V<br />

a<br />

W [L<br />

0 05<br />

I ' ; I l l ~<br />

B CALCULATED WITH STATIC<br />

INHOUR FORMULA, USING<br />

RCCUCED VALUES OF DE-<br />

LAYED NEUTRON FRAC<br />

TIONS<br />

C CALCIJILATFD WITH NU<br />

MERICAI. INTEGRATION /<br />

1<br />

7<br />

60<br />

n -<br />

0001 0002 0005 0.01 002 005 01 0.2 05 1 2<br />

INVERSL STABLE PERIOD (set?)<br />

/<br />

<strong>ORNL</strong>-DWG 67-11803<br />

ING<br />

I<br />

i<br />

1- 1<br />

5 40<br />

Fig. 4.11. Reactivity Addition Required to Produce a Given Stable Period in <strong>the</strong> MSRE with 233U Fuel Loading.<br />

"static" inhour equation, 7s8 using <strong>the</strong> (rjl given in<br />

column 3 of Table 4.4. As a first approximation to<br />

<strong>the</strong> corresponding relation for <strong>the</strong> circulating con-<br />

dition, curve B is also calculated with <strong>the</strong> static<br />

inhour equation, using <strong>the</strong> reduced p, given in<br />

column 4 of Table 4.4. Finally, in curve C, we<br />

show <strong>the</strong> relation obtained from <strong>the</strong> numerical integration<br />

program, which gives <strong>the</strong> complete treatment<br />

of <strong>the</strong> precursor production, motion, and<br />

decay, when <strong>the</strong> reactor is on a stable period. In<br />

<strong>the</strong> rangc 0.001 5 0) 5 1.0, curve C "bows" away<br />

from curve B, illustrating <strong>the</strong> fact that <strong>the</strong> effective<br />

reductions in <strong>the</strong> delay fractions are actually<br />

dependent on <strong>the</strong> reactor period.6 As w becomes<br />

large compared with <strong>the</strong> precursor decay constants,<br />

A,, it can be shown that curve C approaches curve<br />

B asymptotically Fur<strong>the</strong>rmore, curve B differs<br />

asymptotically from curve A, on <strong>the</strong> vertical reactivity<br />

scale, by an amount equal to <strong>the</strong> initial<br />

reactivity loss caused by circulation (0.093% 6k/k,<br />

from Table 4.4).<br />

Samarium Poisoning Effects<br />

At <strong>the</strong> end of 60,000 Mwhr of operation with <strong>the</strong><br />

current fuel charge, <strong>the</strong> ' 49Sm will be very near its<br />

equilibrium concentration corresponding to 7.4 Mw.<br />

~. . .. . . ..<br />

7A. F. Henry, Nucl. SCI. Eng. 3, 52-70 (1958).<br />

'E. E. Gross and J. H. Marable, Nucl Sa. Eng. 7,<br />

281-91 (1960).<br />

The ' 'Sm will achieve approximately 30% of its<br />

equilibrium concentration. After shutdown <strong>the</strong><br />

149Sm will be fur<strong>the</strong>r enhanced by about 8%, owing<br />

to decay of '"Pm. These samarium poison con-<br />

centrations will be present in <strong>the</strong> salt when <strong>the</strong><br />

reactor is brought to power with <strong>the</strong> 233U fuel<br />

loadjng. For this new loading, however, <strong>the</strong> <strong>the</strong>rmal<br />

flux will be approximately 2.2 times that for <strong>the</strong><br />

235U fuel. In addition, <strong>the</strong> yields of <strong>the</strong> 149 and<br />

151 fission product chains are lower than those for<br />

<strong>the</strong> 235U (0.77 and 0.35% for 233U, vs 1.13 and<br />

0.44% for 235U, based on ref. 9). The net result<br />

is that <strong>the</strong> samarium initially present in <strong>the</strong> salt<br />

will act as a burnable poison during <strong>the</strong> first part<br />

of reactor operation with 233U. Figure 4.12 (top<br />

curve) shows <strong>the</strong> result of calculations of <strong>the</strong><br />

reactivity change corresponding to burnout of <strong>the</strong><br />

initial samarium and achievement of <strong>the</strong> equilibrium<br />

poisoning at <strong>the</strong> higher flux level. Continuous<br />

operation at a power level of 7.4 Mw is assumed.<br />

The lower curve in Fig. 4.12 shows <strong>the</strong> coirespond-<br />

ing reactivity change caused by burnup of 233U<br />

during this period. 'The algebraic sum of <strong>the</strong>se two<br />

curves (dashed curve) gives <strong>the</strong> approximate re-<br />

activity effect which must be compensated for by<br />

motion of <strong>the</strong> regulating rod. (There will be addi-<br />

tional corrections due to o<strong>the</strong>r isotopic changes,<br />

but <strong>the</strong>se will be small compared with <strong>the</strong> samarium<br />

........<br />

'T. R. England. Time-Dependent Fission Product<br />

?'hemal and Resonance Absorption Cross Sections.<br />

WAPD-TM-333, Addendum No. 1 (January 1965).

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