电力系统电压失稳过程的几何描述

Geometric description of power system voltage instability process

基于分岔理论,从系统全局结构稳定性层面,将相空间中平衡解流形上的运行点分解为吸引点和非吸引点;在小范围内,吸引点吸引所有相轨迹,非吸引点不能保证吸引所有相轨迹。将分岔理论应用于电力系统电压失稳乃至崩溃过程分析,证实电力系统电压失稳实质上是吸引域中运行点的相轨迹受扰后逃逸到非吸引域后呈现出的现象,并给出电力系统电压失稳过程的几何描述。

Based on the bifurcation theory,the operating points on the equilibrium solution mani-fold in the phase space are decomposed into attract points and non attraction points from the structure global stability level.The attraction point attracts all phase traj ectories and the non at-traction point cannot guarantee to attract all phase traj ectories in a small range.The bifurcation theory is applied in the analysis of power system voltage instability or even collapse process in this paper.The process is the essence of the operating point on the attraction domain lost to the non attraction domain in phase traj ectory after disturbances,and the geometry detailed descrip-tion of power system voltage instability process is provided.