A robust mixed H2/H∞ based LFC of a deregulated power system including SMES

This paper presents a new robust decentralized controller based on mixed H2/H∞ control technique for the solution of load frequency control (LFC) problem including superconducting magnetic energy storage (SMES) in a deregulated electricity environment. To achieve decentralization, in each control area, the connections between this area and the rest of the system and the effects of possible contracts are treated as a set of new disturbance signals. In order to minimize effects of load disturbances and to achieve desired level of robust performance in the presence of modeling uncertainties and practical constraints on control action the idea of mixed H2/H∞ control technique is being used for the solution of LFC problem. This newly developed design strategy combines advantage of H2 and H∞ control syntheses and gives a powerful multi-objectives design addressed by the linear matrix inequalities (LMI) technique. To demonstrate the effectiveness of the proposed method a four-area restructured power system is considered as a test system under different operating conditions. The simulation results with the proposed controller are shown to maintain robust performance in the presence of SMES unit in two areas at power system and without SMES unit in any of the areas. Analysis reveals that the proposed control strategy with considering SMES unit improves significantly the dynamical performances of system such as settling time and overshoot against parametric uncertainties for a wide range of area load demands and disturbances in either of the areas even in the presence of system nonlinearities.