In order to improve the control performance of inverter, voltage and current double closed loop control strategy is often used. Firstly, the mechanism and parameter design of the inductor current control inner loop with the proportional controller are analyzed. The mathematical model of the voltage outer loop based on the quasi proportional integral resonance （PIR） control and the controller design method are discussed in detail. The stability analysis of the dual loop control system is given. Secondly, the reason why the dual loop control cannot suppress the inverter output DC bias is analyzed, and the DC bias detection circuit and suppression strategy are designed to reduce the negative impact of DC bias on the inverter load. Finally, taking a 10 kW single-phase inverter as an example, the proposed control strategy and design method are verified by simulation and experiment, and the results show that the proposed control scheme is correct.