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Matrix converters which remove the reactive energy storage component, have many merits over conventional converters. Unlike traditional converters, such as 3-level inverters, which can produce sinusoidal output without low common-mode harmonics, matrix converters generate third common-mode harmonics. In this paper, an approach to cancel the third common-mode voltage is proposed. The self charging technique is applied and a fast start-up scheme is described. A resonant controller is introduced as a feed back controller. Two modulation methods are implemented and feed forward control is applied to accelerate system response. The proposed techniques are validated by simulation.