Liquid air energy storage (LAES) represents a promising solution due to its relatively large volumetric energy density and ease of grid load shifting. In the LAES system, efficiency of heat exchange in each subsystem has an intensely crucial impact on overall system performance, including the selection of heat exchange mode and medium, the setting of minimum heat transfer temperature difference, and so on. In this paper, a comparative study is made on different minimum heat transfer temperature difference for various parts of multistage liquid phase cold storage LAES system, which includes the compression, the liquefaction and the expansion part. Furthermore, the effects of various heat transfer temperature difference settings on the liquefaction rate and efficiency of the system are analyzed. Variation curves of total energy efficiency and the exergy efficiency of LAES system under different working conditions are obtained.