Abstract: It is of great significance for hybrid electric vehicles that the single-stage converter supplies power for both DC and AC loads. In the existing research, the hybrid converters derived from switch boost, boost and L-Z source inverter are all potential solutions, but their output voltage independent control range is limited. In order to broaden the independent control range, this paper proposes a topology of L-Z source inverter based on three winding mutual inductance coupling structure, and through theoretical derivation and simulation verification, the gain characteristics of the inverter are clear. In order to study the working characteristics of the inverter, the open-loop transfer function of the system is derived, the closed-loop control strategy is designed, and the effectiveness of the closed-loop control strategy is verified by simulation.