Semi-Analytical Modeling and Analysis of Halbach Array

Sim, Minseob; Ro, Jong‐Suk

doi:10.3390/en13051252

Cited by 20 publications

(9 citation statements)

References 28 publications

(37 reference statements)

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“…Surprisingly, the magnetic field underneath is not totally canceled itself, as predicted by the Halbach model. [ 27,28 ] This effect could be originated from the small gap that existed among the magnets. To some extent, the above field of the Halbach array shows a higher magnitude compared to that of the horizontal array.…”

Section: Preparation Of Materials and Printing Setupmentioning

confidence: 99%

3D Printing of Flexible Composites via Magnetophoresis: Toward Medical Application Based on Low‐Frequency Induction Heating Effect

Xiang

Nguyen

Ducharne

et al. 2021

Macro Materials & Eng

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In this work, a commercial extrusion 3D printer is used to process magnetic pastes into desired 3D structures. The magnetic pastes prepared in the authors' laboratory are mixtures of Fe 3 O 4 (iron oxide), microparticles, and PDMS (polydimethylsiloxane) polymer. After multiple composition tests, they produced pastes compatible with the 3D printer that can be additively manufactured into flexible ferromagnetic samples. The design optimization, together with the characterizations of composites, are investigated. Magnetic particles do not simply mix with the polymer but formed a chain-like structure under the influence of a magnetic field during the printing process. The chain-like structure induces magnetic and thermal anisotropies. The relative permeability and the low-frequency induction heating (LFIH) effect are improved. The authors' development is highly relevant in healthcare applications, especially endovascular ablation for varicose treatment.

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Section: Preparation Of Materials and Printing Setupmentioning

confidence: 99%

3D Printing of Flexible Composites via Magnetophoresis: Toward Medical Application Based on Low‐Frequency Induction Heating Effect

Xiang

Nguyen

Ducharne

et al. 2021

Macro Materials & Eng

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“…37,38 Based on the EMCM and the equivalent Ampere current model, the 3-D analytical model for magnetic field and force calculation of cuboid Halbach arrays with the regular magnetized direction was presented. [39][40][41] Furthermore, the magnetic field of a cylindrical array was calculated, and a simple and efficient structure of Halbach array was given out by substituting a complicated magnetic source with an equivalent fictitious magnetic charge sheet. 42,43 Based on the SMPM, an analytical model of the magnetic field of trapezoidal Halbach PM array was obtained.…”

Section: Introductionmentioning

confidence: 99%

Calculation of field and force of Halbach arrays: Improved magnetic charge method for irregular magnetized magnets

Liu

Dong

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Permanent magnets (PMs) are widely used in magnetic machinery. To better predict the performance of PMs, the magnetic field and force need to be calculated. In general applications, PMs are usually magnetized in a direction parallel to their symmetry axes, and the equivalent magnetic charge method (EMCM) can be used to calculate the corresponding magnetic field and force. However, in some particular cases, such as Halbach arrays, the magnetizing directions or shapes of PMs are irregular and cannot be modeled by the normal EMCM that is limited to the magnets with regular shapes and magnetizing directions. In this paper, an improved EMCM is proposed to calculate PMs with irregular magnetizing directions and shapes. The general rules of magnetic charge distribution are given. The standard forms for calculating magnets with irregular magnetizing directions are obtained through the orthogonal decomposition of the magnetizing direction to simplify the calculation. As an illustration, semi-analytical expressions for magnetic field and force of arc-shaped PMs with irregular magnetizing direction are obtained. Furthermore, the application of this method to calculate the 3-D magnetic field and axial magnetic force of Halbach arrays is discussed and compared with the finite element method (FEM) and experimental measurement. It shows that the improved EMCM has good accuracy and greatly reduces the time cost, which can provide reference for the structure design.

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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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Semi-Analytical Modeling and Analysis of Halbach Array

Cited by 20 publications

References 28 publications

3D Printing of Flexible Composites via Magnetophoresis: Toward Medical Application Based on Low‐Frequency Induction Heating Effect

3D Printing of Flexible Composites via Magnetophoresis: Toward Medical Application Based on Low‐Frequency Induction Heating Effect

Calculation of field and force of Halbach arrays: Improved magnetic charge method for irregular magnetized magnets

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

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