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For achieving more appropriate Total Cost of Electricity (TCE), this work discusses a novel approach for optimizing the design of a micro grid generation system. The studied system consists of Wind-PV generation supported by Lead-Acid storage batteries. Taking into account the in-depth modeling of each element of the system, the optimization task is solved based on Multi-Verse Optimization (MVO) algorithm. This combination is essentially elaborated to meet consumer needs, mitigate high current inrush and ensure continuity of service all day in all conditions. For the first time, we treated the electrical quantities statistically at the level of the BESS capacities and the obtained results are converted into statistical models by using the Monte Carlo Simulation (MCS). The Obtained results show that the best configuration is chosen by MVO approach in accordance with a high penetration of all component of the system …