ORNL-4191 - the Molten Salt Energy Technologies Web Site
ORNL-4191 - the Molten Salt Energy Technologies Web Site
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).