Calculation of Levitation Force between Small Superconducting Cylinder and Magnetic Ring in the Critical State

Alqadi, M. K.; Alzoubi, F. Y.; Al-Khateeb, H. M.; Ayoub, N.Y.

doi:10.1007/s10948-008-0351-y

Cited by 8 publications

(5 citation statements)

References 8 publications

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“…The process of constructing the governing equations may be continued based on the type of E-J relationship. In the air region E and J show a linear correlation, so the constitute relation becomes E air = r air J air (9) where r air is denoted as the resistivity of the air. In this paper, the value of r air is adopted to be 100 V m.…”

Section: H-formulationmentioning

confidence: 99%

“…Also, one of the most widely used approaches to represent electrical behaviour of the HTS material is known as the power law [8]. So far, the researchers have tried to simulate the levitation force of a radial HTS magnetic bearing by means of analytical [9,10] and numerical methods [11,12]. The analytical methods used in the literature are often accompanied by some simplifications in the model selection, obtaining formulas and so on.…”

Section: Introductionmentioning

confidence: 99%

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Analytical method for levitation force calculation of radial HTS magnetic bearings

Naseh

Heydari

2017

IET Electric Power Applications

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Introducing high-temperature superconductors (HTS) and their outstanding properties stimulates scientists and engineers in various fields to modernise the products with this new technology. Electric power industry also was affected by this finding in different branches including bearings. The idea of HTS bearings was rapidly developed due to its two main features, i.e. self-stability and contactless operation which leads to save remarkable amount of energy. However, a successful implementation of HTS bearing undoubtedly requires an accurate modelling in the beginning. The contribution of this study is an analytical method for simulating the electromagnetic behaviour of a radial HTS magnetic bearing. The governing non-linear system of partial differential equations in the HTS bulks deduced from the H-formulation along with the E-J power law and is efficiently solved using variational iteration method (VIM). The validity of VIM is ascertained by comparing the results with numerical two-dimensional axisymmetric finite-element method simulations.

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Section: H-formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical method for levitation force calculation of radial HTS magnetic bearings

Naseh

Heydari

2017

IET Electric Power Applications

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“…Different groups of researchers reported their experimental results of the magnetic levitation force, [1][2][3][4][5][6][7] while several theoretical models were adopted to explain and support the experimental works. [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] Coffey [10] and Yang [11] studied the case of a symmetric magnet/superconducting sphere system when the magnetic moment is oriented perpendicular to the surface of the sphere. Recently, based on the image method, the results of Coffey and Yang were reproduced as well as generalized for arbitrary orientations of the magnetic moment.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, based on the image method, the results of Coffey and Yang were reproduced as well as generalized for arbitrary orientations of the magnetic moment. [12] In this paper, we study the magnetic interaction between a point magnetic dipole of an arbitrary orientation levitated above a superconducting sphere in the Meissner state.…”

Section: Introductionmentioning

confidence: 99%

“…It is well known [10][11][12] that the force on a small magnet located exactly at the symmetry axis of a superconducting sphere has only one component in the vertical direction (it is called the levitation force). In order to have another component of the force (the lateral force, which is in the horizontal direction), we have to break the symmetry of the system by moving the small magnet laterally from the axis of symmetry (the vertical axis of the sphere as shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

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Levitation and lateral forces between a point magnetic dipole and a superconducting sphere

et al. 2016

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The dipole-dipole interaction model is employed to investigate the angular dependence of the levitation and lateral forces acting on a small magnet in an anti-symmetric magnet/superconducting sphere system. Breaking the symmetry of the system enables us to study the lateral force which is important in the stability of the magnet above a superconducting sphere in the Meissner state. Under the assumption that the lateral displacement of the magnet is small compared to the physical dimensions of our proposed system, analytical expressions are obtained for the levitation and lateral forces as a function of the geometrical parameters of the superconductor as well as the height, the lateral displacement, and the orientation of the magnetic moment of the magnet. The dependence of the levitation force on the height of the levitating magnet is similar to that in the symmetric magnet/superconducting sphere system within the range of proposed lateral displacements. It is found that the levitation force is linearly dependent on the lateral displacement whereas the lateral force is independent of this displacement. A sinusoidal variation of both forces as a function of the polar and azimuthal angles specifying the orientation of the magnetic moment is observed. The relationship between the stability and the orientation of the magnetic moment is discussed for different orientations.

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Interaction of a Straight Line Current with a Superconducting Sphere: Theoretical Results

Trombley

Palaniappan

2015

J Supercond Nov Magn

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Calculation of Levitation Force between Small Superconducting Cylinder and Magnetic Ring in the Critical State

Cited by 8 publications

References 8 publications

Analytical method for levitation force calculation of radial HTS magnetic bearings

Analytical method for levitation force calculation of radial HTS magnetic bearings

Levitation and lateral forces between a point magnetic dipole and a superconducting sphere

Interaction of a Straight Line Current with a Superconducting Sphere: Theoretical Results

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