2-D and 3-D Analytical Calculation of the Magnetic Field and Levitation Force Between Two Halbach Permanent Magnet Arrays

Tang, Wenbing; Xiao, Liye; Xia, Dong; Yang, Wan‐Min; Wang, Zheng

doi:10.1109/tmag.2021.3053646

Cited by 9 publications

(5 citation statements)

References 5 publications

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“…Maglev technology has become one of today’s trends, and it is used in special care demanding areas such as micromanipulators to huge mass transport (Nasiri-Zarandi and Hekmati, 2019; Liu et al , 2023; Tang et al , 2021; Ou et al , 2021; Elpeze et al , 2021; Demircali et al , 2021). Carrier systems are at the forefront of maglev technology to overcome conveyance issues.…”

Section: Introductionmentioning

confidence: 99%

Modeling of novel cross-type hybrid 4-pole carrier system and experimental air gap control

Göker,

Bozkurt,

Erkan

2024

COMPEL

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Purpose The purpose of this paper is to introduce a novel cross (+) type yoke with hybrid electromagnets and new reluctance modeling to precisely calculate attraction force is given. Design/methodology/approach The comparison of attraction force and torque analyses between the proposed formulation and the existing formulation in the literature is comparatively presented. For the correctness of the force and torque values calculated in the model created, the system was created in ANSYS Maxwell and its accuracy was proved by making analyses. The maglev carrier system is inherently unstable from the point of view of control engineering. For that, it needs an active controller to eliminate this instability. For the levitation of the carrier system, it is necessary to design a controller in three axes (z, α and β). I-PD controller was designed for the air gap control of the carrier system in three axes and the controller parameters were determined by the canonical method. Findings While the new formulation proposed in the modeling of the carrier system has a maximum error of 1.03%, the existing formula in the literature has an error of 16.83% in the levitation distance point. Originality/value A novel cross-type hybrid carrier system has been proposed in the literature. With the double integral used in modeling the system, it takes a long time to solve symbolically, and it is difficult to simulate dynamic behavior in control validation. To solve this problem, attraction force and inclination torque values are easily characterized by new formulation and besides the simulations are conducted easily. The experimental setup was manufactured and assembled, and the carrier system was successfully levitated, and reference tracking was performed without overshoot.

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Section: Introductionmentioning

confidence: 99%

Modeling of novel cross-type hybrid 4-pole carrier system and experimental air gap control

Göker,

Bozkurt,

Erkan

2024

COMPEL

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“…Currently, there are two main approaches to modeling the magnetism of Halbach arrays, which are the surface current assumption method and the magnetic charge method [11][12]. In [13][14], the authors attempted to model the magnetic force between permanent magnets using the surface current hypothesis method, but its accuracy has not been verified by empirical data. In [15][16], the suction and repulsion models of Halbach arrays were developed to analyze the effects of the suspension gap and magnetic dimension parameters on magnetic force, respectively.…”

Section: Introductionmentioning

confidence: 99%

Structure Size Optimization and Magnetic Circuit Design of Permanent Magnet Levitation System Based on Halbach Array

Zhou,

Yang,

Jia

2023

IEEE Access

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To utilize the load-bearing potential of permanent magnetic levitation (PML) structures and improve the levitation efficiency of rare-earth permanent magnetic materials, firstly, the number of magnetic blocks per unit wavelength and the correction factor of magnetic induction strength are introduced to establish an analytical model of vertical levitation force for the PML system based on Halbach arrays, which can effectively make up for the lack of precision caused by the production and installation of permanent magnetic arrays. Secondly, a method to optimize the dimensional parameters of the magnetic track structure combining quantitative analysis and multi-parameter optimization is proposed. Thirdly, a new permanent magnetic levitation structure with high levitation efficiency is designed. The experimental results show that the maximum error between the analytical model and the finite element calculation results is about 5.50% and the minimum error is 0%. The proposed magnetic circuit optimization structure improves the levitation efficiency by 4.60% and the ratio of levitation force to lateral deflection force by 2.48% compared with the "red track ". This study provides good reference for the design of permanent magnet magnetic levitation systems.

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“…Besides, the analytical models of permanent magnet with other shapes were also proposed, such as cylinders, [26][27][28] spherical, 29 cones, 30 and Halbach array. 31,32 These analytical models are of great significance to the design and optimization of permanent magnet components, and extremely promotes the development of PMS.…”

Section: Introductionmentioning

confidence: 99%

Multi-objective optimization design of novel differential permanent magnet spring based on analytical modeling

Zhu

Zhang

Meng

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper proposes a novel structure of annular differential permanent magnet spring with an octagonal moving ring and its multi-objective optimization design procedure based on analytical modeling. Compared with the typical annular differential permanent magnet spring with rectangular cross-section, this novel configuration has larger stiffness, smaller volume, and can effectively save permanent magnet materials. Based on the analytical modeling of the rectangular cross-section magnetic ring, the theory of attraction-repulsion boundary line is proposed, which is used to determine the key dimensions and optimal cross-section shape of the octagonal moving ring and is verified by the FEM simulation afterward. The octagonal moving ring is further decomposed into several types of basic permanent magnet elements to obtain their respective analytical expressions, which are then re-superimposed into the whole octagon to obtain the analytical force-displacement equation of the whole spring. Based on the analytical modeling, a multi-objective optimization procedure is performed to optimize the design parameters in order to balance the different performance requirements. The Pareto front of the desired objectives are obtained and three weighed solutions in Pareto front are selected by analytic hierarchy process. Finally, three prototypes based on the final optimization results are manufactured and tested. The experimental results verify the correctness of the design theory and optimization process.

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2-D and 3-D Analytical Calculation of the Magnetic Field and Levitation Force Between Two Halbach Permanent Magnet Arrays

Cited by 9 publications

References 5 publications

Modeling of novel cross-type hybrid 4-pole carrier system and experimental air gap control

Modeling of novel cross-type hybrid 4-pole carrier system and experimental air gap control

Structure Size Optimization and Magnetic Circuit Design of Permanent Magnet Levitation System Based on Halbach Array

Multi-objective optimization design of novel differential permanent magnet spring based on analytical modeling

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