Abstract: The matrix converter is a new type of AC-AC direct power converter. It can generate sinusoidal input and output current without an intermediate DC link. Moreover, the input power factor and output frequency are adjustable, and it has the characteristics of energy bidirectional flow. Therefore, the matrix converter has a good application prospect in medium voltage and high-power offshore wind power in the future. In this paper, a modular converter based on three phase to single phase matrix converter and a control strategy are studied to meet the application of offshore wind power, the converter can output arbitrary multilevel waveforms with different number of cascaded units, compared with the traditional cascaded H-bridge converter, it has no intermediate DC capacitor, so it significantly improves the power density of the converter. Finally, the simulation model of permanent magnet direct drive wind turbine using the converter is built in Matlab/Simulink, and the validity of the proposed topology and control strategy is verified.