The conventional grid-connected inverters

as the interface between distributed power supply and power grid

can not provide inertia support for the power grid. The control strategy of virtual synchronous generator（VSG）based on grid-connected inverters can enhance stability of system frequency and voltage. In order to make the frequency response have smaller overshoot and shorter adjustment time

according to the relationship between the damping and the maximum frequency deviation

the adaptive damping control strategy for VSG microgrid is proposed

which can also improve the dynamic characteristics of the output voltage. The range of damping coefficient is determined on the basis of small signal mathematical model and in accordance with response index requirement of the system. Finally

simulation experiments are carried out with Matlab/Simulink and the effectiveness of the proposed control strategy is verified by comparing with various damping control algorithms.