Using Coulombian Approach for Modeling Scalar Potential and Magnetic Field of a Permanent Magnet With Radial Polarization

Rakotoarison, Harijaona Lalao; Yonnet, Jean Paul; Delinchant, Benoît

doi:10.1109/tmag.2007.892316

Cited by 74 publications

(35 citation statements)

References 5 publications

(5 reference statements)

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“…In the literature, there are two types of analytical modeling for magnetic actuator: -3D Modeling is based on Amperien model using Biot-Savart law or on Coulombian model using charge surfaces [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. These methods can be used only in free space without ferromagnetic material.…”

Section: Soft-iron Yokementioning

confidence: 99%

Three-Dimensional Analytical Model for an Axial-Field Magnetic Coupling

Dolisy

Lubin

Mezani

et al. 2014

PIER M

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Abstract-In this paper, we propose an analytical method for modeling a permanent magnets axial field magnetic coupling. The three-dimensional model takes into account the radial fringing effects of the coupler. The analytical solution requires resolving the Laplace equation in low permeability subdomains. The magnetic field calculation allows the determination of global quantities like axial force and torque. 3D finite element computations as well as measurements validate the proposed model.

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Section: Soft-iron Yokementioning

confidence: 99%

Three-Dimensional Analytical Model for an Axial-Field Magnetic Coupling

Dolisy

Lubin

Mezani

et al. 2014

PIER M

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“…L 1 , L 2 are the thickness of the stator and rotor magnets respectively. To derive the expression of force between two passive magnets, Coulombian surface charge density method [13] is applied. It is assumed that the magnets are uniformly magnetized in the axial z direction as shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Calculation of Passive Magnetic Force in a Radial Magnetic Bearing Using General Division Approach

Santra¹,

Roy²,

Choudhury³

2017

PIER M

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Abstract-This paper represents the force calculation in a radial passive magnetic bearing using Monte Carlo technique with general division approach (s-MC). The expression of magnetic force is obtained using magnetic surface charge density method which incurs a multidimensional integration with complicated integrand. This integration is solved using Monte Carlo technique with 1-division (1-MC) and 2-division (2-MC) approaches with a MATLAB programming. Analysis using established methods such as finite element method (FEM), semi-analytical method, and adaptive Monte Carlo (AMC) method has been carried out to support the proposed technique. Laboratory experiment has been conducted to validate the proposed method. 2-MC gives better result than 1-MC. The computation time of the proposed method is compared with the quadrature method, FEM and AMC. It is observed that the proposed method invites less computational burden than those methods as the algorithm adaptively traverses the domain for promising parts of the domain only, and all the elementary regions are not considered with equal importance.

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“…However, as shown in [5], this method can only be used in the near-field if parallelepiped magnets are used for representing arc-shaped permanent magnets. It is emphasized here that numerous approaches based on series expansions have been proposed [27][28][29] while semi-analytical approaches have led to compute the magnetic field in all points in space [30]. Moreover, other analytical methods allow the determination of the force between coil currents [31,32].…”

Section: Introductionmentioning

confidence: 99%

“…For arc-shaped permanent magnets whose polarization is radial, some new analytical expressions are derived from the vector potential, not only for ring but also for tile permanent magnets. These expressions are compared with the ones established by Furlani [1], Babic [4], Rakotoarison [30] and Ravaud [7].…”

Section: Introductionmentioning

confidence: 99%

Comparison of the Coulombian and Amperian Current Models for Calculating the Magnetic Field Produced by Radially Magnetized Arc-Shaped Permanent Magnets

Ravaud¹,

Lemarquand²

2009

PIER

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Abstract-This paper presents some improved analytical expressions of the magnetic field produced by arc-shaped permanent magnets whose polarization is radial with the amperian current model. First, we show that the radial component of the magnetic field produced by a ring permanent magnet whose polarization is radial can be expressed in terms of elliptic integrals. Such an expression is useful for optimization purposes. We also present a semi-analytical expression of the axial component produced by the same configuration. For this component, we discuss the terms that are difficult to integrate analytically and compare our expression with the one established by Furlani [1]. In the second part of this paper, we use the amperian current model for calculating the magnetic field produced by a tile permanent magnet radially magnetized. This method was in fact still employed by Furlani for calculating the magnetic field produced by radially polarized cylinders. We show that it is possible to obtain a fully analytical expression of the radial component based on elliptic integrals. In addition, we show that the amperian current model allows us to obtain a fully analytical expression of the azimuthal component. All the expressions determined in this paper are compared with the ones established by Furlani [1] or in previous works carried out by the authors.

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Using Coulombian Approach for Modeling Scalar Potential and Magnetic Field of a Permanent Magnet With Radial Polarization

Cited by 74 publications

References 5 publications

Three-Dimensional Analytical Model for an Axial-Field Magnetic Coupling

Three-Dimensional Analytical Model for an Axial-Field Magnetic Coupling

Calculation of Passive Magnetic Force in a Radial Magnetic Bearing Using General Division Approach

Comparison of the Coulombian and Amperian Current Models for Calculating the Magnetic Field Produced by Radially Magnetized Arc-Shaped Permanent Magnets

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