Abstract：The explicit expression of equilibrium solution curve is very important to the study of saddle-node bifurcation point. In this paper, the node voltage equations express as quadratic form through introducing branch current variables, and obtain the explicit expression of power system solutions curve which parameter is branch current. Then, describe the characteristics of saddle-node bifurcation. The dimension of saddle-node bifurcation point is same with the number of jacobian matrix zero eigenvalue by defining the dimension and jacobian matrix eigenvalue analysis. The multiple saddle-node bifurcation point is more close to the stability boundary of power system. We put forward the dimensionality reduction algorithm of multiple saddle-node bifurcation point. The simulation results show that the presented method is correct.
衣涛,王承民,谢宁,张焰. 电力系统的多重（维）鞍结分岔点及其特征分析[J]. 电工技术学报, 2015, 30(20): 145-150.
Yi Tao, Wang Chengmin, Xie Ning, Zhang Yan. Power System Multiple Saddle-Node Bifurcation Point and Its Characteristic Analysis. Transactions of China Electrotechnical Society, 2015, 30(20): 145-150.
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