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A dynamic model for the thermal system of a PEM fuel cell stack is proposed in this paper. It is based on the theory of heat transfer and mass transfer. And it is intended to be used for system analysis and control. The model can not only predict the variables and states in steady case, it can also describe their transient process when the output current varies with load. Besides, it can give insight of the states of different parts of the fuel cell stack. The simulation results show the model is valid and useful.