分叉理论与Matcont在含FACTS装置的电力系统电压稳定性分析中的应用研究

随着非线性科学理论研究的发展，分叉理论作为研究非线性系统的新方法被引入电压稳定研究中。简要介绍了分叉的基本概念和主要分叉点类型，然后以基于Matlab的分叉分析软件包Matcont为工具，应用分叉理论，对典型的不含FACTS装置和含FACTS装置进行电压稳定的分析。最后重点对Matcont得出的数据进行了详细的分析，研究发现，通过添加FACTS装置，可以有效减少分叉点数量，增加负荷极限，从而提高了系统电压稳定性。

Study on voltage stability of power system with FACTS based on bifureation theory and Matcont

With the development of nonlinear science theory, bifurcation theory as a new method of researching nonlinear system is introduced in studying voltage stability. Firstly, in this paper, it is introduced the basic conception and main types of the bifurcation points and a typical dynamic power system model. And then bifurcation theory is applied to analyze voltage stability in a typical system in two cases： with and without FACTS, by Mateont as a tool which is a bifurcation analysis software package based on Matlab. Fianlly, it is of great importance to have a detailed analysis on the data acquired by Mateont. It is obvious to find out that it is effective to reduce the amount of bifurcation points and improve the load limitation by installing FACTS, thus improving the power system voltage stability.