In order to suppress the resonance of the grid connected inverter LCL filter and to reduce the fundamental current tracking error together with the grid side current distortions of dual-mode converters caused by adopting the large output filter capacitor, a new weighted average current control strategy is proposed for single-phase microgrid converters. Firstly, a PIR controller is developed in a virtual two-axis synchronous rotating reference frame in order to improve the current control accuracy and dynamic response. Secondly, an improved current feed-forward control method is proposed considering that traditional method doesn’t control the grid current and the error between grid current and weighted average current directly. By detecting the low frequency error of the output current and the grid side current, a current feed forward is constructed, which can effectively restrain the error of the network side current control. Simulation and experimental results are given to show the effectiveness of the proposed approach. This work is supported by National High-tech R & D Program of China (863 Program) (No. 2014AA051901) and Doctoral Research Fund Project of Shandong Jianzhu University (No. XNBS1707).