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In this paper a Power-split hybrid automotive system is considered, including a multi-phase synchronous motor, an internal combustion engine and a planetary gear as key element to split power in this propulsion system. The dynamic model of a planetary gear with internal elasticity is presented and the model of the whole vehicle is given using the Power-Oriented Graphs approach. A global control is designed to obtain different operation modes of the vehicle: engine start, battery charging, hybrid traction, recovery of braking energy. Simulation results of the modeled HEV are provided showing the effectiveness of the proposed model and control.