Development of a mathematical model of the heating nuclear power unit for optimization studies of autonomous electric power systems

Abstract

A two-stage method for creating mathematical models of thermal power nuclear power units for studying autonomous electric power systems is presented in the article. A detailed model of a nuclear power unit is being developed as the first stage. The model has sufficient accuracy of description of technological processes. Optimization calculations are carried out for a large number of operating modes. Аt the second stage, based on the results of optimization calculations of the first stage, energy characteristics and dependencies are constructed to determine the boundaries of the region of feasible solutions in the form of polynomials. A model of a nuclear power unit is created based on polynomials. A simplified model can be used in optimization studies of electric power systems. The authors propose a two-step approach for solving the polynomial search problem. At the first step, the coefficients of the polynomial are selected, which correspond to the minimum of the maximum value of the modulus of the difference between the function obtained using the polynomial and the function obtained using the detailed model of the power unit. At the second step, the deviation modules are limited to the value found at the first step, and the sum of the deviation modules is minimized at all points.