Analytical model taking into account the cross saturation for the optimal sizing of IPMSM

The optimal design of electrical machines is an important issue in a context of industrial competitiveness particularly in the automotive, in order to minimize the use of scarce material and to save energy. In addition, a "really" optimal design needs to dispose sufficiently accurate and fast models of the main physical phenomena involved in an electromechanical conversion. This work deals with a old phenomenon, the cross-saturation, which is not restricted to IPMSM however it is rarely taken into account even though it is particularly significant during operational modes of high level saturation. This paper provides an analytical model based on a network of variable reluctances taking into account the magnetic saturation gathering accuracy and fast resolution. After a description of this model and its use for determining the evolution of the magnetic fluxes on d-q axis, these results will be compared with these obtained by FE model. A discussion about the compromise between accuracy and time calculation of the two models will be deduced.