Abstract: “Electricity-hydrogen”conversion provides a new green and efficient solution for the low-carbon transition in the energy field. The proton exchange membrane electrolyzer has the advantages of high hydrogen production purity,excellent hydrogen production efficiency,high integration and coupling with fluctuating power sources. Model construction is an important means for its mechanism research,characteristic analysis,and system operation control simulation. Based on the electrochemical characteristics and heat transport characteristics of proton exchange membrane electrolyzers,this paper reviews the existing domestic and foreign methods for modeling the electrochemical models and heat transport models of proton exchange membrane electrolyzers,and briefly analyzes the research progress of multi-physics coupling models,and prospect the future development direction of proton exchange membrane electrolyzer modeling research.