Abstract: Battery swapping stations（BSSs） have gained rapid promotion and development due to their fast and convenient features. In the field of electric heavy-duty trucks, the construction of BSSs has already begun to take shape and continues to grow at a high speed. How to schedule the charging for electric heavy-duty truck BSSs to achieve power grid friendliness is a key research direction. Firstly, for the characteristics of electric heavy-duty trucks with a weak distribution pattern of battery swapping demand in time, the statistical analysis method is used to analyze the historical operation data of the BSSs to obtain the predicted value of the battery swapping demand during each time period within a day. Secondly, an intraday scheduling strategy based on the prediction of battery swapping demand and an intraday real-time correction strategy based on the actual battery swapping demand are proposed to determine the number of charging batteries and the permissible charging time. Furthermore, a time-power model aiming at power grid peak shaving is established, and combined with the background load curve of the power grid, a differential algorithm is used to solve the charging power and actual charging time of the batteries. Finally, the effectiveness of the scheduling strategy and the time-power model is demonstrated through a case.