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In this paper, a beatless control that enables unity input power factor for the single-pulse operation in the matrix converter is proposed. The proposed method controls the output voltage to synchronize with the output current in terms of voltage–time product during the high output frequency operation. Following the proposed synchronous control method, the beat current is suppressed by approximately 1% at output frequency 1432 Hz. The experimental results also demonstrate that the input current waveform achieves sinusoidal waveform with unity power factor. In addition, the voltage transfer ratio of the matrix converter is improved from 0.866 to 0.955 in the high output frequency region. The maximum efficiency 96.4% is achieved at a 1.34-kW RL load. [ABSTRACT FROM AUTHOR]