This paper presents a hybrid analytical modeling method which integrates a mesh-based magnetic equivalent circuit model with the Fourier modeling approach. This hybrid analytical modeling is capable of correctly predicting the electromagnetic field distributions for various two-dimensional geometries. The generalized approach of the presented hybrid modeling concept, makes the modeling technique applicable to a wide range of electromagnetic devices. By only meshing the parts of the domain in the vicinity of the high permeable materials, the increase in computational effort is limited compared to the sole use of Fourier modeling. The proposed hybrid analytical modeling method predicts the force in the geometry with ≥ 97 [%] accuracy with respect to finite element analysis.

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This paper concerns the local reduction of the magnetic flux density by means of magnetic shielding. Using a spatial frequency description, a 2-D semi-analytical periodic model is obtained for a coreless single-sided linear permanent magnet motor. The magnetic shield is included in the modeling using mode-matching. The obtained magnetic flux density is compared to a finite element model and is verified with measurements. The results show a reasonable agreement between the semi-analytical model and the measurements. Some large deviations occur due to the modeling assumption that the shield has a linear permeability, while the used shields are saturated. However, the semi-analytical modeling method is accurate enough for design purposes and initial calculations, especially when being aware of the possible saturation of the shield.