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Home > Issues > SearchTwo-dimensional Harmonic Modelling for Electro-magnetic Solution in Cartesian Coordinates
Journal of Magnetics, Volume 27, Number 3, 30 Sep 2022, Pages 263-271
Yunlu Du * 
(School of Electrical Engineering, Southeast University), Baocheng Guo (School of Electrical and Automation Engineering, Nanjing Normal University), Z. Djelloul-khedda (1LESI Laboratory, Univ. Djilali Bounaama Khemis Miliana), Fei Peng (School of Electrical Engineering, Southeast University), Yunkai Huang (School of Electrical Engineering, Southeast University)
(School of Electrical Engineering, Southeast University), Baocheng Guo (School of Electrical and Automation Engineering, Nanjing Normal University), Z. Djelloul-khedda (1LESI Laboratory, Univ. Djilali Bounaama Khemis Miliana), Fei Peng (School of Electrical Engineering, Southeast University), Yunkai Huang (School of Electrical Engineering, Southeast University)
Abstract
This paper first presents a general two-dimension (2D) harmonic analytical solution for the magnetic field of
electric machines in the Cartesian coordinates. In this solution, the relative permeance is directly considered in
Laplace and Poisson’s equations, and the particular solutions in Cartesian coordinates are solved. By applying
the complex Fourier separation method, with the boundary and interface conditions, the magnetic field in the
inhomogeneous region is solved from system equations. Numerical examples validate the presented method and
the obtained results have a satisfactory agreement with the finite element analysis. The proposed model in this
paper has a significant value for modelling electric machines, such as linear permanent magnet (PM) machines
and axial flux PM machines.
electric machines in the Cartesian coordinates. In this solution, the relative permeance is directly considered in
Laplace and Poisson’s equations, and the particular solutions in Cartesian coordinates are solved. By applying
the complex Fourier separation method, with the boundary and interface conditions, the magnetic field in the
inhomogeneous region is solved from system equations. Numerical examples validate the presented method and
the obtained results have a satisfactory agreement with the finite element analysis. The proposed model in this
paper has a significant value for modelling electric machines, such as linear permanent magnet (PM) machines
and axial flux PM machines.
Keywords: harmonic model; orthotropic material; analytical solution; magnetic field
DOI: https://doi.org/10.4283/JMAG.2022.27.3.263
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