THE SPACE-TIME NEUTRON KINETICS BY A VARIATIONAL METHOD WITH APPLICATION TO POWER REACTOR DYNAMICS

摘要

By use of the semldirect variational method, the time and space dependent neutron kinetic equations have been reduced to a system of integro-differential equations in the time domain. The state vector of these equations defines the time-dependent coefficients for a set of space modes given by a modal expansion of the neutron flux. The accuracy of this method of analysis is arbitrary, and solutions are available for reactor configurations as complex as the present state of the art allows steadystate determinations.nTo avoid the difficult task of determining orthogonal eigenfunction for a modal expansion in a complex geometry, nonorthogonal Green's Function modes are developed from an approximate solution of the integral form of the multigroup kinetic equations.