3-D hybrid analytical modeling : 3-D Fourier modeling combined with mesh-based 3-D magnetic equivalent circuits

This paper presents a novel 3-D hybrid analytical modeling method which integrates a mesh-based 3-D magnetic equivalent circuit model into 3-D Fourier modeling. This hybrid analytical modeling is capable of predicting the electromagnetic field distributions for Cartesian three-dimensional structures. A generalized approach of the hybrid modeling concept is presented. The modeling technique is applicable to a wide range of electromagnetic devices, such as linear and planar actuators. In only a fraction of the calculation times of 3-D finite element approaches, the 3-D hybrid analytical modeling calculates the magnet field distributions and forces with approximately 90% accuracy.