Ellipsoidal Design of Robust Stabilization for Markov Jump Power Systems under Normal and Contingency Conditions

The essential prerequisites for secure customer service are power system stability and reliability. This work shows how to construct a robust switching control studying load changes using an invariant ellipsoid method. Furthermore, the suggested ensures when is subjected random stochastic external disturbances, functions randomly in two conditions: normal contingency. extreme (least) reliability state chosen as most severe scenario (corresponding transmission line outage). As two-state Markov chain, transition probabilities utilized simulate between contingency modes (or processes). To characterize dynamics of studied system, mathematical model developed. effect disturbances normal/contingency operations taken into account during design stage. For novel excitation designed. attractive approach linear matrix inequalities (LMIs) optimization used build best two-controller gains. Therefore, proposed modeling/design technique can be employed under changes, topological disturbances. Finally, system’s simulation indicates effectiveness designed law.