Design of a Fractional Order Frequency PID Controller for an Islanded Microgrid: A Multi-Objective Extremal Optimization Method

[...]there are some recently reported frequency control methods based on fractional order proportional-integral-derivative (FOPID) controllers for islanded microgrids by using some intelligent optimization algorithms, e.g., Kriging-based surrogate modeling, called the KSM method [25], chaotic PSO based fractional order fuzzy PID controller [26]. [...]how to design intelligent optimization methods especially multi-objective evolutionary algorithms to further improve the comprehensive performance of FOPID controllers for frequency control of islanded microgrids is of great practical significance. [...]the frequency control problem of an islanded microgrid based on a FOPID controller is formulated to a typical multi-objective optimization problem. [...]the proposed MOEO-FOPID can be considered as a competitive multi-objective optimization method for the fractional order frequency control of an islanded microgrid from the perspective- of the complexity of algorithm design and computational efficiency.