Electrical Power System Instability and Chaos

Abstract

The principal objective of this paper was deeply described, discussed and studied an approach to chaotic oscillation in power systems and relationships between chaos and various power system instability modes. The basics of the mathematical theory were introduced and then specific applications to power system engineering problems were discussed. The applications were encompassed modelling and simulation, control, and measurements where the Lyapunov exponents for the strange attractors were calculated. We have presented, illustrated and discussed that by using a three-bus simple system, three routes i.e. route of cascading period doubling bifurcation, torus bifurcation route and directly initiated by large disturbance route may cause chaos in power systems. This paper has showed us the true that chaos in power systems is in fact caused by the injected energy introduced by some kind of disturbances. By also using a simple system, we have illustrated that chaos lead power system to voltage collapse, angle divergence, or voltage collapse with angle divergence oscillation. This paper has strongly showed us that chaos in power system is very likely to be an intergrade existing in the transient stage after a large disturbance. In order to prevent the happening of power system instability incidents effectively, it was necessary to keep up on the studying of chaotic phenomena in power systems. This paper has been helpful to understand the mechanisms of various instability modes and to