Dynamics of a minimal power system: Invariant tori and quasi-periodic motions

被引:21
作者
Ji, WJ
Venkatasubramanian, V
机构
[1] School of Electrical Engineering and Computer Science, Washington State University, Pullman
基金
美国国家科学基金会;
关键词
D O I
10.1109/81.481194
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The paper provides an extensive analysis of local and global bifurcation phenomena in the voltage-angle dynamic interactions of a minimal power system model, Using nonlinear analysis and normal form theory, it is proved that this system will experience quasi-periodic motions near certain degenerate local bifurcations which are explicitly characterized, The results in the paper provide strong analytical evidence for the possible occurrence of complicated behavior in the power system from the interactions of voltage and angle instability mechanisms, Computational methods for the detection of invariant 2-tori in higher dimensional systems using tools from center manifold theory and normal form theory are introduced briefly and these techniques are illustrated on a fourth order power system model.
引用
收藏
页码:981 / 1000
页数:20
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