Mesh relaxation effect on results quality /computation time ratio of a hybrid semi-numerical model

The aim of this paper is first to briefly describes a mathematical approach for the direct coupling of analytical formal solution of Maxwell's equations (AM) and magnetic equivalent circuits (MEC) (reluctance networks or permeance networks) methods for the electromagnetic modeling of electric machines. This coupling can help solve the problem of air-gap modeling in MEC method, and the consideration of the local magnetic saturation in modeling approaches involving analytical formal solution of Maxwell's equations. The formal solution of Maxwell's equations is obtained using separation of variable method along with Fourier series analysis; it is used to model constant permeability regions (magnetic air-gap). The MEC method is used to model regions which include ferromagnetic parts. MEC model is generated based on a mesh of the studied domain. The aim of this contribution is mainly to study the effect of mesh density, used to generate the MEC model, on results quality issued from this new model. A permanent magnet linear synchronous machine (PMLSM) is used as a case study. Results issued from a finite element analysis (FEA) are used as reference for assessing the results quality.