Abstract：When a large number of energy storage devices are integrated into the power grid through a virtual

synchronous generator（VSG），improper selection of control parameters in traditional fixed inertia and damping

control strategies can lead to long adjustment times or large overshoot，and fail to fully leverage the flexible

advantages of VSG control. To address this issue，an adaptive control strategy for energy storage system based on

the crisscross optimization（CSO）algorithm was proposed. Firstly，the VSG model of the energy storage system

was established，and the minimum value of the sum of the frequency error of the VSG system and the total

harmonic distortion of the voltage was taken as the objective function of CSO. The battery state of energy（SOE）

constraint was introduced to solve the optimal inertia and damping. This algorithm has a faster convergence speed

and effectively avoids parameter local solutions. On this basis，an improved inertia and damping adaptive control

strategy was designed to effectively improve the dynamic performance of VSG. Finally，the effectiveness of the

proposed strategy was verified by building a simulation model using Matlab/Simulink.

      Key words：energy storage system；virtual synchronous generator（VSG）；adaptive control of inertia and

damping；state of energy（SOE）of batteries；crisscross optimization（CSO）algorithm