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Документ Parametric synthesis of control systems for the steam generator of a nuclear power plan(Технологічний центр, Українська державна академія залізничного транспорту, 2022) Nikulina, Elena Nikolaevna; Severin, Valeriy Petrovich; Kotsiuba, Nina ViktorivnaThis paper proposes models and methods of the parametric synthesis of automatic control systems for a steam generator at a nuclear power plant, based on the modification of unconditional optimization methods. A mathematical model of steam generator control systems designed for the synthesis of model parameters has been considered. Algorithms are given for calculating level objective functions that take into consideration the limitations of variable parameters and quality indicators of problems for identifying and optimizing model parameters. The methods of unconditional optimization have been modified by introducing the operation of comparing the values of the level objective functions. Using the information technology of optimization, computational experiments were carried out to synthesize the parameters of the steam generator control systems by optimizing the level objective functions. The values of 54 parameters for the model of the control system in the PGV-1000 steam generator were identified, the value of standard deviation in the processes of 1 % from the experimental processes was achieved in the model. The result of parametric synthesis of optimal control systems for a steam generator produced a minimum control time of 131 seconds while the time of computational experiments did not exceed 10 minutes. The peculiarity of the proposed approach to the parametric synthesis of control system models is that the level objective function as a single mathematical object includes all the information about the synthesis problem. Therefore, a given approach is promising for simplifying software for solving complex problems of parametric synthesis of control systems. The considered technology of parametric synthesis of control systems could increase the degree of scientific validity of technical projects to improve various applied and promising control systems.Документ Optimization of direct quality indexes of automatic control systems of steam generator productivity(НТУ "ХПІ", 2018) Nikulina, Elena Nikolaevna; Severyn, Valerii Petrovich; Kotsiuba, Nina ViktorivnaThe system of automatic control of the productivity of the PGV-1000 steam generator of the power unit of the nuclear power plant with the WWER-1000 reactor is considered. This control system includes a system for automatically controlling the water level in the steam generator. The error signal, which is fed to the input of the productivity controller, is generated by the signal of the specified speed of the drive turbine, as well as pulses from the thermal power sensor and from the water and vapor pressure sensors. Based on the model of the water level control system in the steam generator, mathematical models of performance control systems have been developed under various control laws. To formulate optimization tasks for performance management systems, vectors from variable parameters of performance controllers are formed, constraints on these parameters are imposed, constraints are created for the areas of system stability, direct indexes of system quality are introduced, and a vector objective function is created that takes into account all imposed restrictions and quality criteria. Computational experiments on optimizing the controllers of productivity control systems were performed on the basis of direct quality indexes of systems by modified methods of step adaptation and Nelder – Mead. Analysis of the results of optimization of performance control systems allows us to conclude that, in comparison with the minimization of integral quadratic estimates, the optimization of direct quality indexes has made it possible to substantially improve the speed of the systems. The greatest value of the control time takes place for the differential controller, and the smallest identical values – for the proportional-integral and proportional-integral-differential regulators. Theoretically, the expediency of using a more simple proportional-integral controller in the steam generator productivity control system is justified. Additional analysis of the state variables in the productivity control system and comparison of transients before and after optimization allows us to conclude that the maximum deviation of the water level in the steam generator has decreased and its oscillations have disappeared. Also, fluctuations in water flow disappeared, the maximum deviation and oscillation of the control error decreas ed substantially, the overshoot and oscillations of other state variables practically disappeared. Thus, the optimization of the quality indexes of the automatic control system of the steam generator’s productivity has made it possible to significantly improve the main processes in it.