System Reduction of Isolated Microgrid Using Differentiation and Routh Approximation Method

Microgrid networks, which incorporate a variety of energy sources and storage systems, are complex larger-order systems (LOSs). Analyzing these networks is challenging due to the unpredictability associated with energy sources like wind and solar energy. The techniques for order reduction are necessary as interconnections of numerous subsystems create the complexity of microgrid systems, which generally lead to larger-order systems (LOSs). This paper focused on the order reduction of an isolated microgrid system. The eighth-order system of an isolated microgrid is lowered to a second-order model by differentiation method and Routh approximation (RA) method. To assure the effectiveness of the obtained lower order models (LOMs) step plot, Bode plot are demonstrated. For assessing the capability of acquired LOMs, time-domain parameters including settling time, rise time, maximum value, and peak time are tabulated. This study demonstrates the practical application of mixed reduction techniques to simplify complex microgrid models, making them more manageable for analysis and design purposes.