© 2021 IEEE.With the growing usage of primary energy resources (PERs), energy storage technologies have been required to fulfill a balance between supply and demand. Therefore, a control scheme combining superconducting magnetic energy storage (SMES) control and overvoltage and under-voltage prevention control is proposed for SMES based inverter connected to utility grid under various grid voltage disturbances. One of the contributions of this paper is to maximize positive voltage sequence and minimize negative voltage sequences to eliminate the voltage and current imbalances. Besides, the control of the SMES has been performed depending on the regulation of the DC-link capacitor voltage. Also, the voltage support guarantees the safe operation of the three phase inverter. Theoretical analysis and PSCAD/EMTDC based results are conducted to show the feasibility of the voltage and power quality improvement.