应用浑沌理论分析电力系统中的浑沌现象

Analysis of Chaos Phenomena in the Electrical Power Systems

本文应用浑沌理论并根据电力系统模型的特点,首次提出了求取电力系统浑沌模型Melnikov函数的数值近似法,解决了无法求得实际电力系统模型中同宿轨道解析式的困难,并由此分析了单机准无穷大电力系统模型中的浑沌现象,推导出了在该系统中产生浑沌现象的解析条件。

A numerical approximate method to get the Melnikov function value is proposed in this paper. The proposed method is used to get the homoclinic orbit solution of the actual power system model, which till now has not been get by other method. As an application, the chaos in the Single-Machine-Quasi-Infinite Busbar power system is analyzed, and the condition of existence for the chaos in the model is derived.