ON APPLICATION OF LYAPUNOV VECTOR-FUNCTIONS METHOD FOR ANALYSIS OF STABILITY OF PARALLEL OPERATION OF SYNCHRONOUS GENERATORS
Stepanov Anatolii Vladimirovich
Bauman Moscow State Technical University
Abstract. This paper studies the problem of the research of the dynamic stability of the parallel operation of synchronous generators by Lyapunov vector-functions method. The equations of perturbed motion for the relative movements of the rotors of synchronous generators are obtained, a method of the decomposition of the mathematical model of a multimachine power system into isolated subsystems is proposed. For the isolated subsystems Lyapunov vector-function is built. The assessment of the stability region of the system is based on comparison equations, which requires solving a system of inequalities. The author clarifies the peculiarities of the application of Lyapunov vector-functions method for solving the practical problems of the analysis of dynamic stability.
Key words and phrases: синхронные генераторы, динамическая устойчивость, вектор-функция Ляпунова, уравнения сравнения, области устойчивости, synchronous generators, dynamic stability, Lyapunov vector-function, comparison equations, stability regions
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