Identification of gain and phase margins based robust stability regions for atime-delayed micro-grid system including fractional-order controller in presenceof renewable power generation

This study examines the gain and phase margins (GPMs) based robust stability in parameter space of fractional order proportional-integral (FOPI) controller for a micro-grid (MG) system with communication time delays. Fluctuations renewable energy sources (RESs), uncertainties parameters components delays could adversely affect dynamical analysis frequency MG system. Such has an interval characteristic due to parametric variations transfer functions defined by Kharitonov's theorem, which presents solution checking stability. Therefore, this addresses regions containing set FOPI gains all possible simple graphical method working space. In way, impact degree integral on is exhaustively examined method. Additionally, performance terms design specifications including GPMs analyzed, effect investigated Results indicate that GPM provide desirable performances considerably increases robustness margin when compared integer PI controller.