DEVELOPMENT OF NONLINEAR MODEL OF NPP STEAM GENERATOR FOR INFORMATION TECHNOLOGY OF CONTROL OPTIMIZATION
DOI:
https://doi.org/10.20998/2079-0023.2022.01.04Keywords:
mathematical model, steam generator, nuclear power plant, differential equations, optimization, control, information technologyAbstract
Steam generators of modern power units of nuclear power plants are critical elements of power units and are subject to modernization. Identification of the steam generator model for optimizing the control of the steam generator is an urgent task. The purpose of this article is to develop a nonlinear mathematical model of a steam generator in relative variables for its use in information technology for optimizing control. Mathematical models of heat transfer and steam formation processes in a steam generator are presented in the form of systems of differential equations in relative variables. These models are intended for simulation modeling of thermal processes in a steam generator. Thermal processes are associated with the supply of feed water to the steam generator from the water treatment system and coolant from the nuclear reactor, as well as with the removal of steam from the steam generator to the main steam collector. According to the law of conservation of the momentum of the working medium in the circulation circuit of the steam generator under the evaporation mirror, a nonlinear differential equation for the process of circulation of the steam-water mixture is obtained. A nonlinear differential equation has been developed to calculate the derivative of the steam flow through the evaporation mirror in relative variables. The equations for the auxiliary equipment – the main steam header, the steam turbine valve actuator and the control feed valve actuator – are reduced to relative variables. Using the equations of heat transfer, steam formation, circulation and auxiliary equipment, a nonlinear model of the steam generator in the state space as a control object in relative variables is constructed. Formulas are given for calculating the values of the constant parameters of the steam generator model from the values of its design and technological parameters. A program for a nonlinear mathematical model of the PGV-1000 steam generator has been developed, which is included in the information technology steam generator model module. This will make it possible to solve the problems of identifying and optimizing the information control system of the water level in the steam generator PGV-1000 of the power unit with a nuclear reactor VVER-1000.
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