Bifurcation analysis on a detailed multimachine power system model

In this article the dynamics of a multimachine power system model is studied using bifurcation theory. The classical 9 bus WSCC power system model is considered. It is represented using a full differential ODE set, including the corresponding dynamics of the control loops and the transmission lines. The analysis is carried out using the load demands as bifurcation parameters, in order to reveal possible dynamical scenarios for different loading conditions. For variations of one of the loads, Hopf and saddle-node bifurcations were detected. Furthermore, the bifurcation analysis varying two loads simultaneously reveals the existence of a pair of double-Hopf and a zero-Hopf bifurcations, acting as organizing centers of the dynamics.