The POG technique for modeling planetary gears and hybrid automotive systems

In this paper the Power-Oriented Graphs (POG) technique is used for modeling planetary gears and hybrid automotive systems. Some basic properties of the POG technique are firstly given. An extended dynamic model of a planetary gear with internal elasticity is presented. Then a POG congruent state space transformation is used to transform and reduce the system when the elasticities or the inertias go to zero. The obtained reduced model is used as central element of an hybrid automotive power structure (endothermic engine, multi-phase synchronous motor and vehicle dynamics). Simulation results of the modeled hybrid system ends the paper.