Double-fed induction generator (DFIG) can participate in grid frequency regulation by releasing kinetic energy stored in rotating mass and utilizing virtual inertial control (VIC). However, during the recovery phase of rotor speed, there may be a decrease in the secondary frequency of the power grid, which will further worsen the system imbalance. In order to tackle this problem, this paper proposes a stable speed recovery strategy based on exponential function asymptotic convergence. Firstly, in the speed recovery stage, an exponential function based rotor speed recovery method is adopted to alleviate the secondary impact on the power grid frequency; Secondly, after the speed is restored, the maximum power tracking mode is used to control the output power of the unit; Finally, the efficiency of the novel strategy was verified through simulation analysis.