Generalization of the analytical inversion method for the solution of the point kinetics equations

Abstract

A method based on the analytical inversion of polynomials of the point kinetics matrix is applied to the solution of the reactor kinetics equations. This method permits a fast inversion of polynomials by going temporarily to the complex plane. Several cases using various options of the method are presented for comparison. The method developed was found to be very fast and accurate, and has the ability to reproduce all the features of transients, including prompt jump. The analysis of the assumption of constant parameters, reactivity, and source, during a time step, are included. It is concluded that the method provides a fast and accurate computational technique for the point kinetics equations with step reactivity.