Hopf Bifurcation Control of Power Systems Nonlinear Dynamics Via a Dynamic State Feedback Controller—Part II: Performance Evaluation

This is the second part of a two-part paper presenting a dynamic state feedback control law that guarantees the elimination of Hopf bifurcations before the occurrence of a saddle-node bifurcation. In Part I, the mathematical representation of the system's dynamics, Hopf, and Saddle-Node bifurcation theorems, and the state feedback controller design were presented. In this part, to illustrate the system analysis methodology, control design, and to carry out performance evaluation of the controller, both single-machine and multimachine power systems are analyzed. To highlight the effect of saturation phenomena, bifurcation analyses are performed before and after detailed modeling of synchronous generator saturation, for the single-machine power system case. The multimachine case is used to illustrate the scalability and applicability of the method to generic power networks.