Multi-model of a hybrid electric vehicle’s four-wheel drive system with automatically-engaging clutch

A simulation model of the mechanical transmission of a hybrid electric vehiclepsilas four-wheel drive system is developed using the Energetic Macroscopic Representation (EMR). This mechanical system is composed of two open differentials and a clutch to provide the limited slip coupling, which links the differentials. The modelling of a clutch in a powertrain transmission is a sensitive point because of its non-linear behaviour. Two different states have to be taken into account: locked and slipping. Two different models are then used and a specific switch defines the commutation between both models with respect with the physical energy flow. Non-linear behaviour of the tire-ground contact is also taken into account. The mechanical system is simulated using MATLAB-Simulinktrade.