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In this paper is studied the single-phase two-cell multilevel cascade H-bridge power converter connected to the grid, acting as a synchronous rectifier. The power exchange process between the cells of the converter and the grid is analyzed. Based on this analysis and on the power converter model the stages of the controller design process are shown. A new controller for the cascade power converter is proposed, achieving the regulation of each DC-Link capacitor voltage towards its reference. The proposed controller includes a repetitive scheme in the current tracking loop, providing low current harmonic content and almost unity power factor. Simulation results have been carried out in a 10 kVA single-phase two-cell multilevel cascade H-bridge power converter model to illustrate the good performance of the proposed controller.