Issue
EPL
Volume 86, Number 5, June 2009
Article Number 50008
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/86/50008
Published online 24 June 2009
EPL, 86 (2009) 50008
DOI: 10.1209/0295-5075/86/50008

Noise-induced chaos in single-machine infinite-bus power systems

D. Q. Wei and X. S. Luo

College of Electronic Engineering, Guangxi Normal University - Guilin 541004, China

weiduqu@mailbox.gxnu.edu.cn
lxs@mailbox.gxnu.edu.cn

received 11 March 2009; accepted in final form 27 May 2009; published June 2009
published online 24 June 2009

Abstract
We numerically investigate the influences of Gaussian white noise on the dynamical behaviors of a power system. The studied model is described by the classical single-machine infinite-bus (SMIB) system with the values of parameters at which the system is stable. It is found that with increasing noise intensity $\sigma $, the power system becomes unstable and falls into chaos as $\sigma $ is further increased. These phenomena imply that random noise can induce and enhance chaos in the power system. Furthermore, the possible mechanism behind the action of noise is addressed basing on the stochastic Melnikov method. Our results may provide a useful tip for understanding power system's security operations.

PACS
05.45.-a - Nonlinear dynamics and chaos.
05.40.Ca - Noise.
02.50.Ey - Stochastic processes .

© EPLA 2009