Gain-Scheduled LPV Control of a Single-Machine Infinite-Bus Power System

When the disturbances in power systems are large or a fault occurs, the performance based on linear approximation degrades severely, so the inherent nonlinearity can no longer be ignored. In order to solve such a problem, this chapter presents a new nonlinear control method for the transient stability control. First the nonlinear model can be transformed equivalently into an LPV system dependent on the rotor angle as the scheduling parameter. Then for the purpose of enhancing the transient stability and achieving good damping performance, a multi-objective control with both pole placement and minimization of property level (from the active power disturbance to the deviation of rotor angle) is applied. This model can be transformed to linear matrix inequality (LMI), thus can easily be solved by MATLAB tool. The simulation results approve that the new controller has obvious advantage in dynamic progresses compared to the traditional PSS controller.