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Calculation of the delayed neutron effectiveness factor using ratios ofk-eigenvalues

Authors
Journal
Annals of Nuclear Energy
0306-4549
Publisher
Elsevier
Publication Date
Volume
28
Issue
5
Identifiers
DOI: 10.1016/s0306-4549(00)00064-5

Abstract

Abstract In this work, we derive from the transport equation the effectiveness factor used in the β eff calculation and show that, to a first approximation, it is equal to the ratio of two k-eigenvalues: one obtained using the total neutron spectrum, and the other obtained using only the delayed neutron spectrum. This method, which we shall refer to as the k-ratio method, has been tested using several different types of reactor systems. In this report we present the results for the simplest of these systems — the Godiva-I assembly at the Los Alamos Critical Experiments Facility (LACEF). Although the method is not exact, it does yield results that are remarkably close to the traditional adjoint-weighting method.

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