This paper analyzed the power coupling problem caused by transmission line impedance of low voltage micro-grid transmission lines, which is different from traditional high-voltage transmission lines. And according to the two typical modes of microgrid, different control strategies were adopted to control the low-voltage microgrid. In grid connected mode, PQ control strategy was used with micro power sources to support the local voltage and adjust the feeder power flow of the low-voltage distribution network. In island mode, voltage/frequency (V/f) droop control was employed with micro power sources to ensure that power load can be quickly shared by each of them and hold the stability of the voltage and frequency. To match the inverter output impedance and the line impedance, resistive virtual impedance was introduced into the inverter control strategy. Based on the resistive characteristics of the low-voltage line parameters, the traditional high-voltage grid droop characteristic was amended, and through a coordinate rotating orthogonal transformation matrix, V/f droop control was improved, extending the traditional V/f droop control to low-voltage micro-grid. The simulation verification and analysis show that the integrated control strategy designed for the low-voltage micro-grid system can guarantee the stability and reliability of the system and its operation.