Residualization Based Model Order Reduction in Power Networks with Penetration of Photovoltaic Resources

With the accelerating advances in renewable energy technologies and growing penetration of these sources as distributed generation units in the power systems and utility networks, designing controllers has become more complicated. Model order reduction is a proper way to ease this process. In this study, an order reduction procedure based on the residualisation method is designed to reduce the order of the system. The major advantage of the residualisation method is its capability in preserving steady-state gain of the system. This characteristic increases the accuracy of the approximated system, which is demanded in designing the controller. The model of a slightly modified IEEE 14 bus test system with penetration of photovoltaic resources is implemented and reduced through the proposed procedure. Simulation results show the better performance of the residualisation-based method in the steady state compared with three other widely used methods.