Abstract: To fully leverage the advantages of energy storage in rapidly responding to and flexibly regulating the fluctuations of renewable energy, this study aims to address the issue of prominent low-inertia characteristics in power systems caused by the continuous integration of renewable energy, which affects system frequency stability. We propose a cooperative control strategy between wind farms and shared energy storage that takes into account the minimum inertia evaluation of the system to improve frequency regulation performance. By assessing the inertia requirements of the system under different disturbances subject to frequency safety constraints, we reasonably allocate the virtual inertia of wind farms and shared energy storage systems. Two operational modes of shared energy storage that enable wind farms to participate in frequency regulation are summarized, and the cooperative control between wind farms and shared energy storage is investigated in depth. Finally, a multi-wind farm joint simulation system is constructed on the Matlab/Simulink platform to verify the effectiveness of the proposed cooperative control strategy. The results indicate that under different operating modes, the proposed cooperative control can flexibly utilize shared energy storage, fully harness the inertia support capabilities of both wind farms and shared energy storage, while meeting the established frequency safety constraints and enhancing the frequency stability of the system.