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Development and Study of the Global Asymptotic Stability Method for Electric Power Systems

The article deals with the study and development of a mathematical model of complex electric power systems for problems of global asymptotic stability, described by differential equations, the right sides of which are periodic in the angular coordinate. Conditions for the global asymptotic stability of nonlinear control systems are obtained. An example is given that illustrates the application of the results obtained and demonstrates the procedures for studying the global asymptotic stability of energy systems. A mathematical model of complex electric power systems for global asymptotic stability problems described by differential equations, the right parts of which are periodic in angular coordinate has been studied. A software package has been developed that implements various approaches to building the stability of a synchronous generator. Computer modeling allows analyzing the degree of influence of system parameters on the stability of a synchronous generator. This article presents a new idea for both global asymptotic stability control and voltage regulation. In the study, conditions for the global asymptotic stability of nonlinear control systems are obtained. A numerical example is considered, the results of which show that there is no need to increase by more than 4 steps, since they equally converge to zero. The results of the numerical example were obtained in the form of graphs. The calculations were made using the example of ready-made data.