Inverters controlled by a virtual synchronous generator (VSG) can provide inertial support for power systems with renewable energy. However, when the power is disturbed, the dynamic process of the output power and frequency response of the system will be seriously affected. To solve this problem, this paper proposes an improved VSG control strategy of adaptive coordination control strategy of inertia-damping dynamics with additional frequency response control. The influence of inertia and damping parameters on the steady-state and dynamic performance of the system is analyzed by the time domain analysis method. In addition, the additional frequency response control is introduced in the control loop to suppress the frequency fluctuation within the specified frequency deviation when the grid-connected system has a large disturbance. Through the adaptive coordination control of virtual inertia, virtual damping, and frequency regulation, the dynamic performance of VSG output power and frequency regulation can be significantly improved. The effectiveness of the proposed control strategy is verified by simulation experiments .