Domain of attraction analysis of a controlled hybrid reactor model

Abstract

A domain of attraction (DOA) analysis has been performed for a simplified model of the primary circuit of a pressurized water nuclear power plant, the Paks Nuclear Power Plant in Hungary. A simple two dimensional autonomous hybrid differential equation model of the controlled primary circuit has been developed for the purpose of the stability analysis that contains both continuous and discrete variables. It has been shown that the DOA of the controlled system encapsulates the operating domain for any positive value of the considered feedback gain of the power controller and the reactor power. However, the gain has a great impact on the dynamics of the controlled system that is also investigated, and a practically advantageous domain of the gain has been determined.