Analytic expression of magnetic field distribution of rectangular permanent magnets

苟晓凡,; Yong, Yang; 郑晓静,

doi:10.1007/bf02437333

Cited by 115 publications

(20 citation statements)

References 4 publications

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“…The value of M 0 can be found by fitting an experimental magnetization curve with the expression (2). We use the analytic expressions from [33] to find the components of the magnetic field due a rectangular permanent magnet;…”

Section: Magnetic Forcementioning

confidence: 99%

Mathematical modeling of magnetic field guided colloidal particle deposition with significant electric double layer interactions

Alfimov¹,

Shumova²,

Aryslanova³

et al. 2017

Nanosystems: Phys. Chem. Math.

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In this work, we propose a simple theoretical method for predicting the rate and localization of magnetic field guided particle deposition from aqueous colloids. This method accounts for the colloidal electric double layer interactions between particles and vessel walls. The obtained results suggest that the colloidal interactions can be used to increase the rate of particle deposition and improve its localization.

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Section: Magnetic Forcementioning

confidence: 99%

Mathematical modeling of magnetic field guided colloidal particle deposition with significant electric double layer interactions

Alfimov¹,

Shumova²,

Aryslanova³

et al. 2017

Nanosystems: Phys. Chem. Math.

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show abstract

“…According to electromagnetic theory, magnetic field of PM can be described as the magnetic fields produced by both region distributed current and surface distributed current [4,5,6,7] . In the concerned region, if the vector of (2).…”

Section: A Magnetic Field Generated Bypmmentioning

confidence: 99%

Analytic calculation of magnetic field and force in Halbach permanent magnet linear motor

Zhang

Pan

Chen

2011

IEEE 2011 10th International Conference on Electronic Measurement &Amp; Instruments

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The calculating formula of magnetic field produced by single permanent magnet (PM) is deduced based on equivalent current model and magnetic field of Halbach PM array is also given. Secondly, A model of linear synchronous motor whose stator is air-cored coil and mover is Halbach PM array is designed. Then, air-gap magnetic field and force are calculated by both the above formula and commercial electromagnetic simulation software MaxWell. The error between the two methods is less than 2 percent. Compared with the software, the formula presented in the paper is accurate and timesaving which can be used as a fast calculating method for designing and validating linear synchronous motor with Halbach PM array.

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“…12 The total magnetic field can then be obtained by superposition of the magnetic field for each block magnet. Finally, the force induced to the target magnet can be calculated.…”

Section: Modelingmentioning

confidence: 99%

A new magnetic bearing using Halbach magnet arrays for a magnetic levitation stage

Choi

Lee

Gweon

et al. 2009

Review of Scientific Instruments

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Modeling and analysis of a magnetically levitated synchronous permanent magnet planar motor J. Appl. Phys. 111, 07E706 (2012) Magnetic navigation system for the precise helical and translational motions of a microrobot in human blood vessels J. Appl. Phys. 111, 07E702 (2012) Fluidic electrodynamics: Approach to electromagnetic propulsion Phys. Fluids 21, 097103 (2009) Characteristic analysis of electrodynamic suspension device with permanent magnet Halbach array J. Appl. Phys. 105, 07A314 (2009) Electric generator using a triangular diamagnetic levitating rotor system Rev. Sci. Instrum. 80, 024702 (2009) Additional information on Rev. Sci. Instrum.Next-generation lithography requires a high precision stage, which is compatible with a high vacuum condition. A magnetic levitation stage with six degrees-of-freedom is considered state-of-the-art technology for a high vacuum condition. The noncontact characteristic of magnetic levitation enables high precision positioning as well as no particle generation. To position the stage against gravity, z-directional electromagnetic levitation mechanisms are widely used. However, if electromagnetic actuators for levitation are used, heat is inevitably generated, which deforms the structures and degrades accuracy of the stage. Thus, a gravity compensator is required. In this paper, we propose a new magnetic bearing using Halbach magnet arrays for a magnetic levitation stage. The novel Halbach magnetic bearing exerts a force four times larger than a conventional magnetic bearing with the same volume. We also discuss the complementary characteristics of the two magnetic bearings. By modifying the height of the center magnet in a Halbach magnetic bearing, a performance compromise between levitating force density and force uniformity is obtained. The Halbach linear active magnetic bearing can be a good solution for magnetic levitation stages because of its large and uniform levitation force.

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Analytic expression of magnetic field distribution of rectangular permanent magnets

Cited by 115 publications

References 4 publications

Mathematical modeling of magnetic field guided colloidal particle deposition with significant electric double layer interactions

Mathematical modeling of magnetic field guided colloidal particle deposition with significant electric double layer interactions

Analytic calculation of magnetic field and force in Halbach permanent magnet linear motor

A new magnetic bearing using Halbach magnet arrays for a magnetic levitation stage

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