电力系统特征值与状态变量对应关系分析

摘要

电力系统中特征值与状态变量之间的对应关系的分析对研究系统的详细动态特性具有十分重要的意义。文中首先对研究系统稳定问题的小扰动方法进行了分析，认为非线性动力系统的代数方程约束和各状态量之间的耦合关系是造成系统动态特性十分复杂的重要原因，进而利用同伦函数的概念给出了一种确定线性化系统中特征值与状态变量对应关系的方法。用此方法对简单电力系统做了分析，得出了令人满意的结果。%The analysis of relationship between eigenvalues and state variables is important to the study of particular dynamic characteristics in power systems. According to the analysis of general small signal stability method, the conclusion can be drawn that the algebraic-equation constraints and the coupling between state variables are responsible for the complex dynamic behavior of the systems. Then a method to determine the relationship between eigenvalues and state variables is introduced based on the concept of homotopy function. Satisfactory result of a sample power system is given via this method.