Fractional neutron point kinetics equations for nuclear reactor dynamics – Numerical solution investigations

Abstract

This paper presents results concerning numerical solutions to a fractional neutron point kinetics model for a nuclear reactor. The paper discusses and expands on results presented in (Espinosa-Paredes et al., 2011). The fractional neutron point kinetics model with six groups of delayed neutron precursors was developed and a numerical solution using the Edwards’ method was proposed (Edwards et al., 2002). The mathematical model was implemented in the Matlab environment and tested using typical step input change. Experimental evaluation of numerical stability was complemented by an analysis of the effect selected model parameters have on obtained results.