Ice storage air conditioning (IAC) can shift cooling loads to off-peak periods by storing cooling energy, thereby reducing electricity costs and cooling load. They are considered an important means of peak load regulation under time-of-use pricing policies. Currently, IAC mainly relies on empirical operating modes. To address the issues of limited research on the thermodynamic characteristics of typical buildings with IAC, the dual-mode switching between ice storage and refrigeration of chiller units, and the low computational efficiency caused by the nonlinear coupling relationship between electrical power and thermal power in IAC, this paper establishes a thermodynamic model that considers the heat conduction characteristics of IAC and buildings. An Optimal scheduling strategy for IAC considering dual-mode switching is proposed, with the objectives of minimizing operating costs and optimizing user comfort. This strategy aims to improve the rational allocation of cooling loads among different modes in daily operations, enhancing both computational efficiency and accuracy.