Monte Carlo eigenvalue biases: generalization beyond the absorption estimate
Conference
·
· Transactions of the American Nuclear Society; (United States)
OSTI ID:7022479
In this paper, the author considers the Monte Carlo power method in its simplest form with the fission source normalized after each fission generation and M, the number of neutrons per generation, held constant. It has been shown that in this case, for analog Monte Carlo with an absorption estimator, {Delta}{lambda}=N({sigma}{sub R}{sup 2}) {minus} {sigma}{sub AP}{sup 2}/(2{lambda}{sub 0}), where N=number of generations, {lambda}{sub 0}=true fundamental-mode eigenvalue, {sigma}{sub R}{sup 2}=real variance in the absorption estimate of {lambda}{sub 0}, {sigma}{sub AP}{sup 2}=apparent variance computed as if the per-generation estimates were not correlated. From the equations, on finds that {sigma}{sub R}/{lambda}{sub 0} {le} 0.25% and N {le} 800, then {Delta}{lambda} {le} {sigma}{sub R}. The author will show that it is true for all methods that can be approximated in discretized phase-space, an approximation assumed in the paper.
- OSTI ID:
- 7022479
- Report Number(s):
- CONF-911107--
- Conference Information:
- Journal Name: Transactions of the American Nuclear Society; (United States) Journal Volume: 63
- Country of Publication:
- United States
- Language:
- English
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