基于向量场正规形的电力系统动态分析

随着现代电力系统的日益复杂和非线性程度的增加,电力系统在运行点附近表现出了复杂的动态行为,采用传统小扰动法难以凑效,文中将向量场正规形方法应用于电力系统奇异摄动模型,通过分析电力系统基本响应模式间的非线性相关作用来认识和理解系统的动态特性,深化了线性化分析中的特征分析理论,为分析强非线性下系统的稳定性及非线性动态特性提供了一条新的有效途径。对一简单的电力系统进行分析,得到了一些有益的结论。

Power System Dynamic Characteristics Analysis With the Normal Forms of Vector Fields

Modern power system presents complex behavior at the operating point for its strong nonlinear characteristic, which makes the small signal analysis method ineffective. The authors propose a method to analyze such system by the theory of normal forms of vector fields to the system singularly perturbed differential equation (SPDE). With the proposed method, the nonlinear interaction between response modes of power system can be analyzed and the complex dynamic characteristic of such strong nonlinear system can be explored. Therefore, the eigenvalue analysis method was extended by use of this methodology, which provides a new way to study both the stability and the dynamic behavior of power system with the consideration of its strong nonlinearity. The effectiveness of proposed methodology is verified on a simple power system and some valuable conclusions are obtained.