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A Fast Analytic Model of Axial Flux Permanent Magnet Machines with Static/Dynamic Axis Eccentricity
Baocheng Guo,Yunkai Huang 한국자기학회 2016 Journal of Magnetics Vol.21 No.4
This paper presents a general analytical model to calculate the characteristics of axial-flux permanent-magnet machines with axis eccentricities. The radial and tangential magnetic flux densities in the air gap under normal conditions were first obtained using a combination of Maxwell’s equations and Schwarz-Christoffel (SC) transformation. Next, equations for the radii were deduced to investigate the static/dynamic eccentricities. The back electromotive forces (EMFs) were calculated and compared with those obtained from finite element (FE) analysis. The analytical predictions show good agreement with the FE results. Detection approaches were obtained by comparing with normal conditions, and the analytical model was verified experimentally.
Baocheng Guo,Yunkai Huang,Fei Peng 한국자기학회 2018 Journal of Magnetics Vol.23 No.1
This paper presents an improved and simple analytical model to study the static angular eccentricity of single stator single rotor axial-flux permanent-magnet (AFPM) machine. The magnetic flux densities in the air gap under normal and static angular eccentricity are calculated by using a combination of Maxwell’s equations and Schwarz-Christoffel (SC) transformation. The original contribution of the model is that angular eccentricity is obtained without extra transformations. Thus the proposed approach is simpler than existing methods. The calculated back electromotive forces (EMFs) and cogging torque by the proposed method are compared with those obtained from the finite element (FE) model, the results show acceptable accuracy of the proposed method. In this way, the effectiveness of the proposed method is verified.
Baocheng Guo,Rong Guo,Hengzai Hu,Jianping Shi,Chunmei Feng 한국자기학회 2022 Journal of Magnetics Vol.27 No.1
A simple and improved analytical model (AM) for linear permanent magnet synchronous machine (LPMSM) based on the correction factor is presented in this paper. A slotless linear permanent magnet machine (PLPM) with AM developed in Cartesian coordinate is selected to investigate. Consequently, the fitting equations of curvature factors for the permanent magnet and armature are obtained. The subdomains for LPMSM are simplified from 6 down to 3 domains based on curvature equations. The magnetic flux density and force show that the proposed approach agrees with the finite element (FE) model. Moreover, the reduced calculation domains and harmonic orders make AM proposed in the paper much faster. The main contribution of the work is to present a simple strategy for coordinate transformation and calculation strategy for LPMSM, which provides guideline for designers to investigate the machines developed in Cartesian coordinate.
Two-dimensional Harmonic Modelling for Electro-magnetic Solution in Cartesian Coordinates
Yunlu Du,Baocheng Guo,Z. Djelloul-khedda,Fei Peng,Yunkai Huang 한국자기학회 2022 Journal of Magnetics Vol.27 No.3
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.
Zhi Cao,Yunkai Huang,Baocheng Guo,Jianning Dong,Fei Peng 한국자기학회 2020 Journal of Magnetics Vol.25 No.2
This paper applies two different analytical methods, i.e., the perturbation method and superposition method, to calculate the magnetic flux density distribution and the magnetic force of the active magnetic bearing (AMB) with the rotor eccentricity. These two methods are thoroughly analyzed, compared and validated by the finite element model (FEM). The perturbation method is theoretically complex while the superposition method is intuitive. The valid range of the superposition method is larger than the perturbation method. However, the superposition method requires longer computation time. The main contribution of this paper is assessing the effectiveness of two analytical methods for predicting the AMB performance with the rotor eccentricity and giving a comprehensive guideline for engineers to choose the proper analytical method to design AMB.
Souleyman Benkraouda,Zakarya Djelloul-Khedda,Elhadj Bounadja,Baocheng Guo,Abdelkader Teffahi 한국자기학회 2024 Journal of Magnetics Vol.29 No.1
This paper presents a harmonic analytical method for modular permanent-magnet (PM) machines. By using the complex Fourier separation method, the magnetic field in all parts of machine regions is solved from system equations through the application of boundary conditions with take into account the permeability of iron parts. Three types of concentrated winding have been used, namely, single layer, double layer same phase and double layer between phase. Additionally, the performance results of these configurations are also compared. Finally, to validate the proposed analytical method, the results are verified with the finite-element method (FEM). Thus, the validation shows good results for the proposed model.