GLOBAL METHOD OF ASYMPTOTIC STABILITY OF PHASE SYSTEMS

Abstract

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 angular coordinate. The conditions of global asymptotic stability of nonlinear control systems are obtained. An example is given illustrating the application of the obtained results and demonstrating the procedures for studying the global asymptotic stability of energy systems. A mathematical model of complex electric power systems for problems of global asymptotic stability described by differential equations, the right parts of which are periodic in angular coordinate, is investigated. 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 control of asymptotic stability and voltage regulation. The conditions of global asymptotic stability of nonlinear control systems are obtained in the study. A numerical example is considered, the results of which show that there is no need to increase by more than 4 steps, since they converge equally to zero. The results of the numerical example were obtained in the form of graphs. Calculations were made using the example of ready-made data.