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 (HAM) method that integrates a mesh-based 3-D magnetic equivalent circuit model into 3-D Fourier modeling. This HAM is capable of predicting the electromagnetic field distributions for Cartesian 3-D 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 HAM calculates the magnet field distributions and forces with approximately 90% accuracy.