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Application of Superconducting Magnetic Energy Storage unit with Hysteresis Current Control-Fuzzy Logic to improve the performance of Wind Turbine Generator-Grid connected during short circuit is presented. Five 2 MW Type D-Wind Turbine Generator connected to a grid is simulated using SIMULINK/MATLAB program. The Superconducting Magnetic Energy Storage unit consists of a Voltage Source Converter and DC-DC Chopper that are controlled by Hysteresis Current Control and Fuzzy Logic Controller respectively. Simulation results show that the proposed control algorithm of Superconducting Magnetic Energy Storage unit is effective in saving some MWs of Type D-Wind Turbine Generator production during occurrence of short circuit in the line.