Analysis of Bifurcation and Stability in a Simple Power System Using MATCONT

The electrical power generation and distribution networks are very complex nonlinear systems. They may exhibit many complicated phenomena that have not yet been fully investigated. A nonlinear dynamical system could behave chaotically in a specific range of parameters. In power systems, the chaotic behavior and bifurcations are observed over a range of loading conditions. This paper presents the application of a new software package MATCONT for stability and bifurcation analysis of a power system. To simplify the analysis, we have selected a simple power system network consisting of a synchronous generator, an induction motor, and a load for derivation of equilibrium curve, limit cycles, and Hopf bifurcation point of the simple power system, regarding to the selected bifurcation parameters.