Accuracy of system simulation for hybrid vehicle development is key when estimating the real energy saving that can be expected from a new technology. In case of claw pole machine, it becomes a challenge when we have to integrate in the simulation platform the actual control laws of the electrical machine, its self heating and the impact of the electrical network. A combined mapping and analytical approach is proposed in this paper to accurately estimate the claw pole machine behavior in alternator and motor mode. The electrical model combines FEA method and phasor diagram which eases the integration of control laws and thermal model in real time simulation.