Abstract: Voltage-controlled strategy is capable for the grid-connected control of microgrid inverters, its synchronization process with the power grid is power zero difference synchronization. However, the power synchronization strategy of the basic PI regulator has a slow response speed, large overshoot in the response process. In addition, the response cannot be improved through the adjustment of PI parameters. In order to improve the dynamic regulation process of voltage control inverter power synchronization, this paper proposes a second-order lead-lag compensator based on real-pole compensator (RPC) and complex-pole compensator (CPC) for the power synchronization control of voltage-controlled inverter. Based on the power output model of the voltage-controlled inverter, the parameter design principles of the two types of compensators are analyzed, and the parameter design process of the real-pole compensator and the complex-pole compensator is established in detail. Through simulation, the compensation effects of the proposed two types of compensators and the commonly used high-pass filter compensators are verified. The two types of compensators can effectively increase the system cutting frequency and increase the phase margin to over 60° in the frequency domain, and effectively accelerate the power synchronization process in the time domain and reduce the overshoot of the synchronization process, making the power synchronization process more stable.