Calculation of Space-Dependent Reactor Transfer Function by Few-Pole Expansion Method

Abstract

The “few-pole expansion method” gives an approximate solution of the general space-dependent linear kinetics. The mathematical meaning of this method is first briefly described. A numerical calculation of the space-dependent, two-group, two-region reactor transfer function is made with the use of the few- pole expansion. Even an expansion with only two terms is found to provide good agreement with the transfer function measured by pile-oscillator.