Simultaneous coordinated design of PSS and TCSC damping controller for power systems

This paper presents a simultaneous coordinated design of PSS-type and TCSC supplementary damping controllers for electric power systems. Such controllers are designed by means of a systematic methodology based on robust control. The adopted technique is an extension of a previously presented methodology. The design procedure is structured in the form of linear matrix inequalities (LMIs). The controllers are obtained by means of a numerical solution of the LMIs describing the control problem. Possible undesirable interactions between the PSS-type damping controllers and the TCSC damping controller are avoided by using the multimachine model in the design stage. The proposed technique ensures that the designed controllers fulfill various practical requirements of the oscillation damping problem in power systems. The minimum damping ratio is used as performance index for the system in closed loop. The proposed controllers were simultaneously designed and they have provided a coordinated control action and a satisfactory performance for the power system, as shown in the results