Methods and means of optimal control of hydroelectric power plants, power units and RES in case of changes in frequency and power flows in the integrated power system

The method of synthesis of optimal regulators of multidimensional, nonlinear systems, which are able to solve the problems of systemwide management of transient modes of the united electric power system (UPS) in real time mode, taking into account the restrictions on the resources of the means of regulation and the allowable limits of deviation of the regime parameters by forecasting the vectors of future states of the nonlinear system with the subsequent quadratic optimization with the given restrictions, has been developed. The method of dynamic assessment of the state on the basis of the obtained dynamic models for operative assessment of the load of the main sections of the UES of Ukraine according to the criterion of static stability, assessment of the borders of dynamic and fluctuating stability, monitoring of the state of the main generating equipment (especially the power units of thermal power plants (TPP) and hydroelectric power plants (HPP), which carry out normalized primary regulation) and the electric power system as a whole is obtained. The method of identification of coherent groups of generators is developed, it allows to determine the invariant structure and to carry out the parametric synthesis of the ECO model taking into account its static and dynamic characteristics for the nonlinear and non-stationary object of research, with the following recurrence updating of its analytical model and continuous verification in the time and frequency areas on the basis of synchronized data of passive experiment. The methods of analysis of the causes and conditions of low-frequency low-frequency oscillations of the regime parameters based on the data of the Transient Modes Monitoring System (TMS) were further developed. The methods of rapid assessment of the characteristics of low-frequency oscillations (LFO) on the basis of selective spectral decomposition of the most observable modes of oscillation and methods to determine the optimal locations and settings of the means of damping the LFO in the UES of Ukraine by using adaptive laws of regulation.