Abstract: With the large-scale integration of new energy into the power grid, the characteristics of "low inertia and weak support" in the new power system are becoming prominent, and the frequency regulation resources of the power grid are becoming increasingly scarce. The problem of system frequency stability is becoming increasingly severe. Advanced Adiabatic compressed air energy storage (AA-CAES) has attracted widespread attention due to its advantages such as large capacity and long lifespan. However, due to the complex frequency modulation characteristics of AA-CAES involved in the gas-thermal dynamic coupling process in energy storage and release, the potential for frequency modulation still needs to be explored. We first establish a dynamic simulation model of the AA-CAES system under all operating conditions, and then design the frequency modulation transfer function of the AA-CAES system based on the expected frequency dynamic curve, optimize the key parameters of the target transfer function, and achieve the frequency regulation requirements of the system under the minimum dynamic power compensation of the AA-CAES. Finally, through simulation experiments, it is verified that the control strategy can optimize the frequency regulation capacity of AA-CAES while reducing the steady-state frequency deviation and frequency overshoot of the system, significantly improving the frequency response characteristics, and providing technical supports for building a grid friendly AA-CAES power plant.