Establishing a reasonable equivalent electrochemical impedance-thermal coupling model is important for impedance calculation and temperature estimation during low temperature heating of batteries using high-frequency alternating current (AC). After using the NSGA-II algorithm to identify the parameters of seven different equivalent impedance models in the frequency range from 10 to 100000 Hz, it is found that the use of one resistor and inductor parallel module can more accurately describe the effect of skin effect on the impedance curve without increasing the computational effort compared to a single inductor module in high frequency region; after obtaining additional high-frequency heat generation at different frequencies and time-varying heat transfer coefficients with temperature using a topology that relies on the battery's own energy for heating, an electrochemical impedance-thermal coupling model applicable to the battery under high-frequency AC heating is proposed. The accuracy of the model is verified under constant frequency, and the necessity of using a time-varying heat transfer coefficient with temperature for temperature prediction is demonstrated; the practicality of the model is verified under variable frequency, and the maximum temperature error of prediction in the high frequency range is reduced from 2.93°C to 0.35°C with an RMSE of only 0.23°C compared with existing model.