Abstract

Analytic solutions to the space-time reactor kinetics equations are evaluated numerically using one/two groups of prompt neutrons and six groups of delayed-neutron precursors in one-region spherical reactors. Subcritical, supercritical and delayed supercritical reactors are examined. Selective comparisons of the analytic solutions are made to a standard unnormalized and a new renormalized point kinetics model, thus verifying that point kinetics, with appropriate normalization, can be an excellent approximation to simple space-time reactor kinetics problems.

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