An Analytical Approximation for the Prediction of Transients with Temperature Feedback

Abstract

A new approximation solution of the point kinetics equation system for a group of precursors with temperature feedback is presented. The formulation proposed consists of the expansion of neutron density in power of the generation time for prompt neutrons and presents explicit dependence in time. The results obtained displayed small deviations in relation to the numerical reference solution and systematically better than other analytical methods found in the literature, despite the simplicity of its functional form and ease of implementation.