Homotopy analysis solution of point reactor kinetics equations with six-group delayed neutrons

Abstract

Homotopy analysis method is a new method to form approximate analytical solution for non-linear system by using various base functions, which is different from traditional analytical methods. So far, the analytical solution of the point reactor neutron kinetics equations with six-group delayed neutrons has not been obtained yet. In this paper the homotopy analysis method is employed for solving the point reactor neutron kinetics equations with six-group delayed neutrons. The series analysis solutions are obtained using the homotopy analysis method, and the relevant algorithm is given and analyzed. The results show that the computation time and accuracy satisfy the engineering requirements. This analysis method can be applied to the design, the analysis and the simulation of reactor control.