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The paper proposes the modeling of an electric propulsion system that uses as a main energy source, a Fuel Cell. The model is based on the structure of Toyota MIRAI, the first electric vehicle equipped with Fuel Cell developed in series in 2015. The model is developed under MATLAB Simulink software and adapts existing fuel cell and vehicle blocks to the real vehicle case. The simulation results contain time evolution of some important parameters for both fuel cell and vehicle. Conclusions analyse these results and suggest future possible pathways of study.