Abstract: In the low-voltage distribution network, aiming at the problem of unreasonable power distribution and circulating current caused by the difference between the inverter equivalent output impedance and line impedance in the traditional Virtual Synchronous Generator（VSG） control, an improved parallel VSG control strategy based on virtual impedance is proposed. First, the power transmission characteristics and circulation characteristics of the inverter are analyzed, and the virtual impedance control strategy is designed to realize the independent control of active and reactive power, as well as a certain circulation suppression. Second, in order to eliminate the voltage drop caused by the virtual impedance and further suppress the system circulating current of VSG, the reactive power-voltage loop of the traditional VSG is improved, and the difference between the output voltage and the rated voltage is used as feedforward compensation to correct the output voltage of the system. On this basis,aiming at VSG with different capacities, the parameter matching method of multi machine parallel system is formulated. Finally, the PSCAD/EMTDC software is used to simulate and analyze the off-grid low-voltage microgrid, and the result verifies the proposed control strategy’s correctness.