Coordinated power system stabilizer design using linear matrix inequalities for gain-scheduled scaled-H^∞ control

This paper presents a gain-scheduled scaled- H^∞ approach for a power system stabilizer design using the linear matrix inequality method. A nonlinear power system dynamic is brought to a linear parameter varying form via state transformation instead of the usual approximate linearization. The gain-scheduled power system stabilizer is then designed for the linear parameter varying power system according to the varying parameters, i.e., the scheduling variables, which are power angle and mechanical power input. The power system stabilizer is constructed by utilizing linear matrix inequalities for scaled- H^∞ control adapted to linear parameter varying systems. The power system stabilizer design is order flexible and the coordinated rotor-swing damping and voltage regulation is thus achieved.