Empirical Equation of Neutron Diffusion System

Abstract

An empirical equation between the cross sections and criticality factor was derived by the technique of experimental design and regression analysis. Factorial experiments taking account of interactions between factors was designed with use made of the orthogonal array. Numerical calculation of a two-group, two-core system was performed and an empirical equation derived by regression analysis, resulting in a criticality factor with acceptable accracy.

The technique is general in nature. It should be applicable to learning control and optimum design of reactor systems.