Grid-Connected and Off-Grid Operation of a Microgrid Applying Fuzzy Mixed-Integer Linear Programming

In this study, fuzzy mixed-integer linear programming (MILP) is applied to solve the operation problem of a microgrid. The microgrid has a capability to be operated in both grid-connected and island (off-grid) modes. The microgrid supplies its own load while it is equipped with an energy storage and a wind turbine as a renewable energy source. Herein, fuzzy approach is used in MILP to address the uncertainty issue of the renewable’s power. It is demonstrated that the application of fuzzy MILP can remarkably decrease the operation cost of the microgrid. Moreover, it is shown that the fuzzy MILP is robust to the inaccurate prediction of the uncertain parameter of the problem.