Enhancing the small-signal stability of the island microgrids under the virtual impedances-gray wolf optimization model: two distinct case studies

Abstract The objective of this study is to oversee the operation of several converter-based distributed generations in order to assure efficient power distribution inside an island-microgrid (MG). The study commences by introducing a MG model that integrates virtual impedances with a phase-locked loop. It subsequently presents a unique method for analyzing small-signal stability in islanded MGs. A virtual impedance setting strategy is created using the gray wolf optimization algorithm. It was found that the voltage and frequency of the MG stay within acceptable boundaries. The MG stability index was much increased and reactive power imbalances were eliminated.