On a closed form solution of the point kinetics equations with a modified temperature feedback

Abstract

In the present work we analyze the nonlinear and time dependent temperature feedback in neutron point kinetics with precursors. The influence of neutron density and temperature on reactivity is calculated from a minimal non-linear model. Starting from a phenomenological point of view, beside the neutron density temperature coupling also a non-linear neutron density term is added to the temperature influence on the neutron density, or power density. A closed form solution of this extended point kinetics equation system and the computation of reactivity as a function of time by the decomposition method is discussed.