Analysis of the Correlation Function of the Neutron Field in a Critical Reactor Taking Account of the Neutron Intensity Regulation System

Abstract

The influence of the parameters of the neutron intensity regulation system on the uncertainty of the neutron field in a critical stationary reactor is investigated. The spectral expansion method is used to obtain by means perturbation theory a relation for the neutron flux density distribution. On the basis of the relations obtained an expression for the correlation function of the neutron field is obtained and analyzed. Numerical modeling is used to determine the spatial distribution of the dispersion of the neutron field for different arrangements of the neutron detectors and control organs.