Chaos of a power system model and its control

Abstract

The nonlinear dynamic characteristics of a simple three-bus power system mathematic model are studied, including phase diagrams and a bifurcation map. To control this undesirable chaos, sliding mode control law without buffeting is presented based on the LaSalle invariance principle, which considers the bounded disturbances. The theoretical analysis is in agreement with numerical simulation in that the designed controller could asymptotically stabilize the unstable power system to a typical steady-state. The research of this paper may help to maintain the power system's security operation.