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Power-Oriented Modeling of Epicyclic Gear Trains

Model-based simulations are important in the automotive industry to study and evaluate the vehicle behavior. In this paper, the Power-Oriented Graphs (POG) technique is used as a tool for modeling epicyclic gear trains. A full elastic dynamic model of the system is first derived, which can then be reduced by neglecting the elastic contact points between the gears while still being able to recover the time behaviors of the spring tangential forces. The proposed modeling method is then applied to two epicyclic gear trains, and the design of a suitable control allowing to minimize the system dissipations is presented and applied to the second case study.