A centralized control mode is no longer applicable for microgrid operation because of the high penetration rate of distributed energy. This fact is responsible for the widespread interest in the use of a distributed microgrid. This paper examines the issues, rarely considered, of power coupling and uncontrollable droop coefficient at the terminal of the connection line between micro-source and AC bus. An improved VSG control strategy is proposed based on local data considering precise control of droop coefficient, realizing the power decoupling and the expected droop characteristics. Then, combined with a virtual rotor characteristic matching method, the reasonable active and reactive power sharing of the parallel microgrid inverters are realized in terms of static and dynamic performance without additional improvement of reactive power control. Finally, the effectiveness and feasibility of the proposed method are verified on the Matlab/Simulink simulation platform. The combination of the proven strategy and matching principle endows inverters with self-synchronization characteristics, forming the self-synchronizing voltage sources. This all gives the distributed microgrid a higher self-stability, autonomy and robustness to ensure stable operation of the microgrid. This work is supported by Natural Science Foundation of Hebei Province (No. E20185021134) and Science and Technology Project of the Headquarter of State Grid Corporation of China (No. SGTYHT/18-JS-206).