Study of Stability Dynamic in a Multimachine Power System Using Robust Controllers PSS and POD

This manuscript presents an analysis of the dynamic performance of a multimachine power system in the presence of device Flexible AC Transmission Systems (FACTS) acting in conjunction with robust controllers. Model Power Sensitivity (PSM) is used to represent the multimachine power system. The design of the controllers Power System Stabilizers (PSS) and Power Oscillation Damping (POD) is performed so simultaneous and coordinated, and is based on robust control techniques. The method is structured in the form of linear matrix inequalities (LMIs). The controllers are found by solving the set of LMIs that describe the control problem. It is defined a minimum value of damping that is used as a performance index of closed-loop system. Simulations on a test system show the results about the stability of power system when subjected to small perturbations.