Parameter dependent control Lyapunov function for series and shunt FACTS devices considering uncertain power system model

In this paper, a parameter dependent control Lyapunov function (PDCLF) is used to design a robust nonlinear feedback control law for series and shunt FACTS devices. The feedback control law is robust with respect to noise in the feedback signal and parametric uncertainties in the magnitude of transmission line power flow. The nonlinear FACTS controller is designed to damp interarea oscillations of a two-area system increasing the power system stability margin.