Chaos and Bifurcations in a Single Generator Operating onto an Infinite-bus System with Control Systems of the Generator

Abstract

Stability of a power system is influenced by characteristic of control systems of generators. This paper deals with a single generator operating onto an infinite-bus system with AVR, PSS and GOV. We made a survey of bifurcations in the sample system by computer simulations and presented the bifurcation sets on parameter planes. The parameters are the PSS gain, the transmission line length, specified value of the generator output, and they were widely varied. As a result, we observed loss of stability of a equilibrium point leading to a limit cycle, flip bifurcation and chaos arising through cascade of them, cyclic fold bifurcation, subcritical Hopf bifurcation, and so on. In the case of PSS gain being small value, there was a region where a stable equilibrium point and a stable periodic orbit coexist, and hysteresis was seen in transitions between the two according to variation of a parameter.