With the increasing installed capacity of wind power systems in China

their proportion in the power grid is also growing.However

the high penetration rate of wind power brings about the issue of frequency stability in the grid.To address this

a multi-objective predictive control strategy using virtual synchronous machines (VSMs) is proposed.Currently

VSM control typically provides frequency support by setting virtual rotation equations

but it is difficult to achieve effective suppression of frequency fluctuations.To further reduce the threat of frequency fluctuations to grid stability

this paper proposes a continuous control set multi-objective optimization method based on model predictive control (MPC) principles.This method utilizes the virtual synchronous machine rotation equations to establish a power prediction model

which can predict power changes during frequency fluctuations.By designing a cost function and con-sidering output constraints

the optimal power increment is obtained.This increment is then used to modify the power command

allowing the energy storage battery system to provide more active power at the point of common coupling

thereby reducing system frequency variations.Semi-physical simulation experiments demonstrate that this method effectively reduces system frequency fluctuations and enhances the frequency stability of wind-storage island microgrid systems.