In this paper, we study a control method based on the virtual indirect circuit method for a single phase to three phase matrix converter (MC). The MC has a capacitor at the input side to compensate for die single phase input power fluctuation. We propose a method to determine the amplitude of the compensation capacitor voltage on the basis of the load power. The method is validated using a 1350 W class single phase to three phase matrix converter system. In addition, restrictions on the modulation ratio of the input current and the compensation capacitor current are revealed, showing the limit of the output voltage according to the load power.
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