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This paper proposes a certainty equivalence model predictive control (MPC) approach for the operation of islanded microgrids with a very high share of renewable energy sources. First, to make the MG model more realistic, the conversion losses of the storage units and the conversion losses of the power electronic devices are considered by the quadratic functions in the dynamic of units. Then, to mitigate the effect of errors in the storage units’ state of charge prediction, the conversion loss functions are reformulated by the mixed-integer linear inequality functions and included in the proposed scheme. Finally, the effectiveness of the proposed certainty MPC is verified by a numerical case study.

Model Predictive Operation Control of Islanded Microgrids under Nonlinear Conversion Losses of Storage Units