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Summary: Complying with the trend of renewable energy power generation, the Modular Multilevel Matrix Converter (MMMC, also known as M3C) is applied to the low‐frequency alternating current (AC) transmission system to realize the AC/AC conversion from low‐frequency AC to power‐frequency AC based on the offshore wind power generation. In view of the shortcomings of traditional proportional integral (PI) control, such as slow response, more adjustment parameters and low dynamic performance, a new type of nonlinear control based on passive theory is proposed in this paper, namely passivity‐based control. It has the advantages of fast response, less adjustment parameters, and high dynamic performance, which can greatly improve the control effects of the M3C input and output sides current. Under operating conditions such as input‐side frequency changes and output power changes, the passivity‐based control strategy can still maintain a very low system impact, and the overall control effect is better. Finally, the correctness and superiority of this method are verified by simulation under different working conditions. [ABSTRACT FROM AUTHOR]