Well that the numerical approaches, as the finite elements method, recorded a lot of advantage concerning the precision and the study of complex geometry, they present again the inconvenience of important time calculation. Generally, when it is about a research of optimizations problems, the analytic approaches are often solicited because they are fast in time of calculation. It is for this reason that we chose the modelling by reluctance network. The modelling by magnetic equivalent circuit (MEC) consists in defining a topology of the reluctances network. The knowledge of magnetic flux distribution is necessary and considering the hypothesis on this flux target is interesting. However when the magnetic material is saturated, the flux is canalized rightly in iron and therefore the reluctance network becomes easy to construct (the tubes of flux follow the magnetic circuit). Nevertheless, an important saturation implicates an increase of the leakage fluxes, what makes difficult to construct the reluctance network. Also, the number of reluctance influence on the topology of the network [16].
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