This paper proposes a virtual frame transformation droop control strategy, to solve active and reactive power coupling of distributed generator converter generated by low voltage microgrid (LV microgrid) with traditional droop control strategy, and the stability of load power is improved when LV microgrid is in mode transition and islanding operation mode. Active power and reactive power virtual frame transformation is combined with traditional droop control strategy. When LV microgrid is in mode transition and islanding operation mode we can control the converter output power with traditional droop control strategy, then use virtual frame inversion transformation for virtual active power and virtual reactive power to realize a completely decoupled relationship between active power and reactive power, thus can both satisfy the demand of load power and optimize load power quality. The simulation proves the correctness and effectiveness of the control strategy.