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NUREG/CR-5625 (ORNL-6698) - Oak Ridge National Laboratory

NUREG/CR-5625 (ORNL-6698) - Oak Ridge National Laboratory

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Procedure<br />

It is recommended not to use the decay heat values of this<br />

report if any of the following conditions occur:<br />

if T c # 10 years and P e /P ave > 1.3,<br />

if 10 years < T c # 15 years and P e /P ave > 1.7,<br />

if T c # 10 years and P e-1 /P ave,e-1 > 1.6. (12)<br />

Although it is safe to use the procedures herein, the heat<br />

rate values for p may be excessively high when<br />

final<br />

T # 7 years and P /P < 0.6,<br />

c e ave<br />

T # 7 years and P /P < 0.4. (13)<br />

c e-1 ave,e-1<br />

5.2.3 The Excess Power Adjustment Factor f p<br />

The maximum specific power, P max , used to generate the<br />

data in Tables 5.1–5.3 and Tables 5.5–5.7 is 40 kW/kgU<br />

for a PWR and 30 kW/kgU for a BWR. If P ave , the<br />

average cumulative specific power, is more than 35%<br />

higher than P max (i.e., 54 kW/kgU for PWR fuel and 40.5<br />

kW/kgU for BWR fuel), then the guide should not be used.<br />

When 1 < P ave /P max < 1.35, the guide can still be used, but<br />

an excess power adjustment factor, f , must be applied.<br />

p<br />

The excess power adjustment factor is<br />

For P # P , f = 1.<br />

ave max p<br />

5.2.4 The Enrichment Factor f e<br />

f = P ave<br />

/P max<br />

.<br />

(14)<br />

p<br />

The decay heat rates of Tables 5.1–5.3 and Tables 5.5–5.7<br />

were calculated using initial enrichments of Tables 5.4<br />

and 5.8. The enrichment factor f is used to adjust the<br />

e<br />

value p for the actual initial enrichment of the assembly<br />

tab<br />

E s . To calculate f e , the data in Tables 5.4 (BWR) or 5.8<br />

(PWR) should be interpolated linearly to obtain the<br />

enrichment value E that corresponds to the assembly<br />

tab<br />

burnup, B . If E /E < 0.6, it is recommended not to use<br />

tot s tab<br />

the guide. Otherwise, set the enrichment factor as follows:<br />

f = 1 + 0.01[a + b(T - d)][1 - E /E ]<br />

e c s tab<br />

when E s /E tab # 1.5<br />

f e = 1 – 0.005 [a + b(T c - d)]<br />

when E s /E tab > 1.5 (15)<br />

where the parameters a, b, and d vary with reactor type,<br />

E s, E tab , and T c . These variables are defined in Tables 5.9<br />

and 5.10.<br />

5.2.5 Safety Factor S<br />

Before obtaining the final heat rate p final , an appropriate<br />

estimate of a percentage safety factor S must be<br />

determined. Evaluations of uncertainties performed as<br />

part of this project indicate the safety factor should vary<br />

with burnup and cooling time.<br />

For BWR assemblies:<br />

S = 6.4 + 0.15 (B tot – 20) + 0.044 (T c – 1) . (16)<br />

For PWR assemblies:<br />

S = 6.2 + 0.06 (B tot – 25) + 0.050 (T c – 1) . (17)<br />

The purpose of deriving spent fuel heat generation rates is<br />

usually to apply the heat rates in the computation of the<br />

temperatures for storage systems. A preferred engineering<br />

practice may be to calculate the temperatures prior to<br />

application of a final safety factor. This practice is<br />

acceptable if S is accounted for in the more comprehensive<br />

safety factors applied to the calculated temperatures.<br />

5.2.6 Final Heat Generation Rate Evaluation<br />

The equation for converting p tab , determined in Sect.<br />

5.2.1, to the final heat generation rate of the assembly, is<br />

p = (1 + 0.01S) f fN f f p , (18)<br />

final 7 7 p e tab<br />

where f , fN , f , f , and S are determined by the<br />

7 7 p e<br />

procedures given in Sects. 5.2.2 through 5.2.5.<br />

5.3 Acceptability and Limits of the<br />

Guide<br />

Inherent difficulties arise in attempting to prepare a heat<br />

rate guide that has appropriate safety factors, is not<br />

excessively conservative, is easy to use, and applies to all<br />

commercial reactor spent fuel assemblies. In the endeavor<br />

to increase the value of the guide an effort was made to<br />

ensure that safe but not overly conservative heat rates were<br />

computed. The procedures and data recommended in the<br />

guide should be appropriate for the mainstream of power<br />

reactor operations with only minor limitations in the range<br />

of applicability.<br />

<strong>NUREG</strong>/<strong>CR</strong>-<strong>5625</strong> 26

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