Abstract
A theoretical expression of the C E (ratio of calculation to experiment) distributions for reaction rates and reactivity worths is developed on the basis of the explicit first-order perturbation formulation. The expression shows that the degree of the C E spatial dependence depends on not only the magnitude of the Boltzmann operator errors due to cross-section errors, but also the λ-mode eigenvalue separations and the adjoint eigenfunctions of higher harmonics, and that the spatial shape of the dependence is described by the higher-harmonic forward eigenfunctions. Sensitivity analyses of the C E radial dependence to various cross-section changes, based on the present expression, are carried out for a one-dimensional model of a large fast reactor assembly, ZPPR-13A. These results indicate that the first radial-harmonics dominantly contribute to the C E radial dependence, and the sensitivity to a local change in a macroscopic fission cross-section is very high compared to the other perturbations.
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