Abstract:

Many physical systems are usually nonlinear differential-algebraic equation sub-systems within large-scale systems. For nonlinear differential-algebraic equation sub-systems whose index is one and interconnection is local measurable, the backstepping stabilization control is studied through two steps. Meanwhile the result is applied to components decentrlized control of the power system. In the first step, the geometric condition of equivalent model transformation is presented, through which the nonlinear differential-algebraic equation sub-system model is transformed equivalently into “constrained” nonlinear ordinary differential equation system model. In the second step, the stabilization controller is constructed explicitly using backstepping method based on the equivalent model, with which all states of the closedloop systems are made asymptotically stable. Finally, a speed governor controller is designed for one synchronous generator within multi-machine power systems and the simulation is conducted. The simulation results demonstrate the effectiveness of the proposed control scheme.