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A microgrid concept is needed in order to integrate the renewable sources in the electrical grid. It comprises low voltage (LV) system with distributed energy resources (DERs) together with storage devices and flexible loads. The integration of RES into a microgrid can cause challenges and impacts on microgrid operation. Thus, in this research, an optimal sizing and security, reliability and economic efficiency operation strategies of a microgrid including photovoltaic productions (PV), battery energy storage systems (BESS) and/or diesels is proposed. Firstly, the iterative optimization technique is used to find the optimal sizing of a microgrid. Secondly, the voltage and frequency control strategies for an island microgrid by using droop control methods are studied. Furthermore, we propose intelligent voltage and frequency control strategies by using fuzzy logic. By this way, the frequency is expressed not only as the function of active power but also the state of charge of BESSand the operation states of microgrid. And finally, a method to optimize the energy management in operation of a microgrid is proposed in this research.