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This paper presents the numerical results of the bifurcations and the chaotic behavior in a fundamental power system model, a single-machine infinite-bus system model with the generator excitation control by the first-order lag AVR. The numerical analysis mainly focuses on revealing the parameter value region where the chaotic behavior is observed. And it is shown that the partially linearized model, which is derived by linearizing all the nonlinear elements except the AVR limiter, exhibits the similar bifurcations and chaos. Several simulation results indicate that the mechanisms for the chaotic behaviors and the bifurcations to arise are same both in the linearized model and in the original single-machine infinite-bus system model for the parameter value variation which does not move the equilibrium point from the reference point used for the linearization.

Numerical Investigations on the Main Factor for Chaotic Power Swing to Arise in a Single-machine Infinite-bus Power System Model with the AVR