Analytical Prediction of Halbach Array Permanent Magnet Machines Considering Finite Tooth Permeability

Zhang, H. S.; Deng, Zhengxing; Yang, Minglei; Zhang, Y.; Tuo, Jiying; Xu, Jin

doi:10.1109/tmag.2020.2982844

Cited by 27 publications

(17 citation statements)

References 40 publications

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“…More recently, various research groups have developed models including subdomains with a spatially variable permeability, thus reducing the number of domains required to simulate machine with slots or variable reluctances [26]- [30]. These models are based on the convolution therorem that allows considering complex space distribution of the magnetic permeability in the subdomains.…”

Section: Introductionmentioning

confidence: 99%

“…These models are based on the convolution therorem that allows considering complex space distribution of the magnetic permeability in the subdomains. Thanks to this method, it is possible to simply take into account the saturation of the magnetic circuit [27], [29] and numerous radial-flux topologies have been modelled in recent years [26], [30].…”

Section: Introductionmentioning

confidence: 99%

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3-D Semi-Analytical Model of a Superconducting Axial Flux Modulation Machine

et al. 2021

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This article presents a 3-D semi-analytical model of a partially superconducting axial flux modulation machine for the computation of the flux density distribution, the torque and the Eddy-current losses in the armature. The modulation of the superconducting coil magnetic field by the superconducting bulks is calculated by solving the Maxwell's equations in scalar potential with the variable separation method. Using Fourier series analysis and the convolution theorem, the bulk region is modelled by a domain with a spatially variable magnetic permeability. This variable permeability enables considering a diamagnetic bulk as well as a more complex magnetic behavior using the Bean model. The results of the proposed model are compared with 3-D finite elements models and good agreement is obtained for a significantly reduced computation time. The proposed model appears to be a suitable tool for optimisation and sizing processes.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

3-D Semi-Analytical Model of a Superconducting Axial Flux Modulation Machine

et al. 2021

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“…Few studies, such as the research by Zhang et al . [26], consider the finite permeability of the stator teeth. The analytical model can accurately describe the geometric topology of the machine as well as consider all the iron's nonlinearity without any hybrid approach, thus taking into account the magnetic saturation effect.…”

Section: Introductionmentioning

confidence: 99%

Analytical field model of segmented Halbach array permanent magnet machines considering iron nonlinearity

Zhang

Yang

et al. 2021

IET Electric Power Appl

Self Cite

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The permeability of the iron is usually assumed to be infinite by the linear subdomain technique, leading to the neglect of magnet saturation. This study presents an analytical model of a segmented Halbach array permanent magnet machine by considering the iron B-H curve and saturation effects. Firstly, the entire field problem is divided into six regions in the radial direction according to the excitation source. Then, Poisson's and Laplace's equations are solved in each region to obtain the magnetic vector potential. Specifically, in our approach, the teeth and slots' permeability variation is solved by Cauchy's product theorem. An iterative algorithm incorporates the nonlinearity of the iron. Subsequently, the electromagnetic performance, such as air-gap magnetic flux density, electromagnetic torque, and unbalanced magnetic force, is predicted by the analytical method. The analytical results are shown in line with those obtained from finite element analysis, and a prototype was fabricated to further verify the accuracy of the analytical method. Besides, the proposed method can also be used to evaluate the performance of the Halbach array machines with any number of segmented magnets. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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“…In 1979, physicist Klaus Halbach discovered a particular permanent magnet arraythe Halbach array [3][4][5]. Using a special magnet unit arrangement, field strength in the magnet unit direction increased.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Influence of Ferromagnetic Material on the Output Characteristics of Halbach Array Energy-Harvesting Structure

Xiangyong

Liu

He³

et al. 2021

Micromachines

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Due to the particular arrangement of permanent magnets, a Halbach array has an significant effect of magnetism and magnetic self-shielding. It can stretch the magnetic lines on one side of the magnetic field to obtain an ideal sinusoidal unilateral magnetic field. It has a wide application range in the field of energy harvesting. In practical applications, magnetic induction intensity of each point in magnetic field is not only related to the induced current and conductor but also related to the permeability of the medium (also known as a magnetic medium) in the magnetic field. Permeability is the physical quantity that represents the magnetism of the magnetic medium, which indicates the resistance of magnetic flux or the ability of magnetic lines to be connected in the magnetic field after coil flows through current in space or in the core space. When the permeability is much greater than one, it is a ferromagnetic material. Adding a ferromagnetic material in a magnetic field can increase the magnetic induction intensity B. Iron sheet is a good magnetic material, and it is easy to magnetize to generate an additional magnetic field to strengthen the original magnetic field, and it is easy to obtain at low cost. In this paper, in order to explore the influence of ferromagnetic material on the magnetic field and energy harvesting efficiency of the Halbach array energy harvesting structure, iron sheets are installed on the periphery of the Halbach array rotor. Iron sheet has excellent magnetic permeability. Through simulation, angle between iron sheet and Halbach array, radian size of iron sheet itself and distance between iron sheet and Halbach array can all have different effects on the magnetic field of the Halbach array. It shows that adding iron sheets as a magnetic medium could indeed change the magnetic field distribution of the Halbach array and increase energy harvesting efficiency. In this paper, a Halbach array can be used to provide electrical power for passive wireless low-power devices.

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Analytical Prediction of Halbach Array Permanent Magnet Machines Considering Finite Tooth Permeability

Cited by 27 publications

References 40 publications

3-D Semi-Analytical Model of a Superconducting Axial Flux Modulation Machine

3-D Semi-Analytical Model of a Superconducting Axial Flux Modulation Machine

Analytical field model of segmented Halbach array permanent magnet machines considering iron nonlinearity

Analysis of the Influence of Ferromagnetic Material on the Output Characteristics of Halbach Array Energy-Harvesting Structure

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