OBSERVATIONS ON THE GEOMETRY OF SADDLE NODE BIFURCATION AND VOLTAGE COLLAPSE IN ELECTRICAL-POWER SYSTEMS

被引：133

作者：

DOBSON, I

机构：

[1] Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1992年 / 39卷 / 03期

关键词：

Dynamics - Mathematical Techniques - Eigenvalues and Eigenfunctions - Mathematical Techniques - State Space Methods - System Stability;

D O I：

10.1109/81.128018

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：

Saddle node bifurcation is a generic instability of parameterized differential equation models. We describe the bifurcation geometry and some implications for the study of voltage collapse in electric power systems. The initial direction in state space of dynamic voltage collapse can be calculated from a right eigenvector of a static power system model. The normal vector to the bifurcation set in parameter space is a simple function of a left eigenvector and is expected to be useful in emergency control near bifurcation and computing the minimum distance to bifurcation in parameter space.

引用

页码：240 / 243

页数：4

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