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The Effect of Stochastic Perturbation of Fuel Distribution on the Criticality of a One Speed Reactor and the Development of Multi-Material Multinomial Line StatisticsThe effect of random fuel redistribution on the eigenvalue of a one-speed reactor is investigated. An ensemble of such reactors that are identical to a homogeneous reference critical reactor except for the fissile isotope density distribution is constructed such that it meets a set of well-posed redistribution requirements. The average eigenvalue, , is evaluated when the total fissile loading per ensemble element, or realization, is conserved. The perturbation is proven to increase the reactor criticality on average when it is uniformly distributed. The various causes of the change in reactivity, and their relative effects are identified and ranked. From this, a path towards identifying the causes. and relative effects of reactivity fluctuations for the energy dependent problem is pointed to. The perturbation method of using multinomial distributions for representing the perturbed reactor is developed. This method has some advantages that can be of use in other stochastic problems. Finally, some of the features of this perturbation problem are related to other techniques that have been used for addressing similar problems.
Document ID
20010098882
Acquisition Source
Langley Research Center
Document Type
Reprint (Version printed in journal)
Authors
Jahshan, S. N.
(Jahshan (S. N.) Ann Arbor, MI United States)
Singleterry, R. C.
(NASA Langley Research Center Hampton, VA United States)
Date Acquired
August 20, 2013
Publication Date
January 21, 2001
Publication Information
Publication: Annals of Nuclear Energy
Publisher: Elsevier Science Ltd.
Volume: 28
ISSN: 0306-4549
Subject Category
Nuclear Physics
Distribution Limits
Public
Copyright
Other

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