Bifurcation analysis in a dynamic power system using Matcont software

This paper deals with the bifurcation and dynamic stability structure in a dynamic power system model using the Matcont software package. We present a detailed investigation of several bifurcation phenomena, so the continuation, using one parameter (reactive power) from equilibrium computed by time integration, leads to limit point, Hopf bifurcation, Period doubling, Branch point cycle, along with limit point cycles. This analysis of bifurcation is executed using the reactive power demand at load bus. In this paper we use the numerical software MATCONT to proved a chaotic phenomena: to integrate the ordinary differential equation with different values of a continuation parameter, we found a succession of bifurcation points: stable equilibrium point, stable limit cycle, stable two cycles, stable four cycles. The cascaded of the Period doubling bifurcation leads to chaos. This phenomenon (chaotic behavior) is observed in a specific range of parameters.