In response to the increasingly prominent problem of frequency security and stability of the power grid, the rapid response characteristics and the ability of two-way power adjustment of electrochemical energy storage are incorporated into the third defense line for frequency security based on on-site signal response to deal with low frequency caused by high power shortage. Firstly, the functional positioning of electrochemical energy storage in the third defense line for low frequency security is analyzed. A frequency response model of the third defense line for frequency security contained electrochemical energy storage is proposed based on the equivalent model of a single machine with load. The necessity and prerequisites of sub-round actions of electrochemical energy storage are analyzed. And a calculation method for the critical capacity of sub-round actions is proposed. Furthermore, the formulation method of the corrective control strategy is studied. The frequency recovery effect and control cost are used as comprehensive indicators. A weighted optimization model is formed to tune the control volume of each round, considering the operation mode and failure scenarios. Finally, it is verified by the actual power grid analysis that the proposed corrective control strategy has better frequency control effect and adaptability, which is helpful to expand the application scenarios of electrochemical energy storage in the power grid.