In this paper, a three-phase-in three-phase-out matrix converter (MC) is modeled and its working principles are analyzed. A simple model of the power circuit is proposed, which has a small filter at input side of converter to remove distortion of the input current around the switching frequency. The control signals of the power switches are produced using the optimum amplitude-direct transfer function approach (DTFA). The modulation strategy of the converter is explained mathematically in a

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... r form. The simulation results obtained from the model at various operating conditions are presented. These results prove effectiveness of the proposed matrix converter model with a unity input power factor. Consequently, the designed PSIM model can be confidently used in the construction stage of the matrix converter.