ANALYSIS OF SYNCHRONOUS MOTOR STABILITY USING HOPF-BIFURCATION

被引：1

作者：

FERNANDOPULLE, N ^{[1
]}

RAMSHAW, RS ^{[1
]}

机构：

[1] UNIV WATERLOO,DEPT ELECT & COMP ENGN,WATERLOO N2L 3G1,ONTARIO,CANADA

来源：

ELECTRIC MACHINES AND POWER SYSTEMS | 1991年 / 19卷 / 03期

关键词：

D O I：

10.1080/07313569108909521

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：

Investigation of synchronous motor stability needs the study of a set of first order nonlinear differential equations. Due to this nonlinearity, the behavior of the synchronous motor during small disturbances is understood by looking at the eigenvalues of the linearised equations. One of the most powerful methods to analyse the dynamics of a nonlinear system is the theory of Hopf Bifurcation which uses the eigenvalues of the linearised system. This paper uses the Hopf Bifurcation theorem to determine different stability patterns of a synchronous motor. As the system voltage changes, the bifurcation of different equilibrium states are examined. A test system is used to simulate the changes taking place in the stationary solution. The properties of the nonlinear periodic solution are also uncovered and the relationship between the two solutions is established.

引用

页码：239 / 250

页数：12