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This paper discusses pulse density modulation (PDM) control methods for a single-phase to three-phase matrix converter for high-frequency applications such as the grid interface converter for a wireless power transfer system and high-frequency transformer link system. The input frequency for this converter is assumed as several hundred kHz, and at the same time outputting a commercial grid frequency, i.e. 50 Hz or 60 Hz. The proposed circuit achieves high efficiency by implementing zero voltage switching from a PDM control method. In this paper, the PDM that is based on space vector modulation (SVM) is proposed in order to improve the output waveform. Simulation and experimental results are demonstrated and discussed. From the results, the total harmonic distortion (THD) of the output voltage, which is controlled by the PDM using delta-sigma conversion, and the proposed PDM based on SVM are 5.96% and 2.15%, respectively. Furthermore, the proposed circuit achieves maximum efficiency up to 97.3% with the proposed PDM based on SVM. From the results, the validity of the PDM control based on SVM has been confirmed.