Levitation Force Maximization in HTS Magnetic Bearings Formulated by a Semianalytical Approach

Naseh, Mojtaba; Heydari, Hossein

doi:10.1109/tasc.2017.2707670

Cited by 3 publications

(4 citation statements)

References 14 publications

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“…The boundary

\bar{a b}

in air‐gap is defined as an appropriate field function to describe the magnetic field generated by the moving PM rotor in radial direction. The field function can be obtained by using the Biot–Savart law and the surface current model of PM [6]. The boundaries

\bar{b c}

\bar{c d}

, and

\bar{d a}

can be deemed as the zero‐flux condition approximately due to their long distance from the excitations.…”

Section: Numerical Model and Analysismentioning

confidence: 99%

“…With the advantages of passive self-stabilisation levitation, the radial-type superconducting magnetic bearing (SMB) can be applied in the flywheel energy storage system, high-speed motor and cryogenic liquid pump [1][2][3]. At present, the related work about radial-type SMB mainly focuses on the theoretical modelling and experimental research of axial levitation force characteristics [4][5][6][7][8]. However, very little work has been done in predicting the behaviour of the radial levitation force.…”

Section: Introductionmentioning

confidence: 99%

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Simplified calculation for the radial levitation force of radial‐type superconducting magnetic bearing

Zhang

et al. 2018

IET Electric Power Applications

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It is usually difficult to obtain the radial levitation force of the radial-type superconducting magnetic bearing (SMB) due to the massive numerical calculations and the sophisticated experimental measurements. This study presents a method for fast calculating the radial levitation force of radial-type SMB, which is based on the infinitesimal method and the 2D finite-element method. During the modelling, the radial-type SMB is assumed to be composed circumferentially of infinite superconductorpermanent magnet (SC-PM) infinitesimals with shape of rectangular thin slice. The dependence of levitation force for the SC-PM infinitesimal on the air-gap length between the SC stator and the PM rotor can be obtained using the 2D finite-element model established in Cartesian coordinate system. Moreover, a simplified analytical model of calculating radial levitation force is developed based on the infinitesimal method and the circumferential distribution formula of non-uniform air-gap when the PM rotor exhibits radial eccentricity. The results of theoretical calculation and experimental measurement of radial levitation force show a good agreement, which verifies the feasibility of the proposed method. It has the advantages of fastness and easiness, and can be used as a theoretical tool for the design, optimisation and performance prediction of the radial-type SMB.

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“…The boundary

\bar{a b}

\bar{b c}

\bar{c d}

, and

\bar{d a}

can be deemed as the zero‐flux condition approximately due to their long distance from the excitations.…”

Section: Numerical Model and Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Simplified calculation for the radial levitation force of radial‐type superconducting magnetic bearing

Zhang

et al. 2018

IET Electric Power Applications

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“…When complex electromagnetic (EM) devices are embedded in a large air domain or when small air gaps are present integral equations (IE) formulations can be more convenient than differential ones [1]. Several electromagnetic applications, such as induction hardening [2], induction cooking [3], EM levitation for melting devices [4], high temperature superconducting bearings [5], [6], and thermonuclear fusion devices [7], allow for an axisymmetric solution of the EM problem. Therefore, when the axisymmetric assumption actually holds, this property can be exploited to reduce the computational cost required by the numerical simulations of 3-D EM devices.…”

Section: Introductionmentioning

confidence: 99%

Volume Integral Equation Methods for Axisymmetric Problems With Conductive and Magnetic Media

Torchio¹,

Voltolina²,

Moro³

et al. 2020

IEEE Trans. Magn.

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Two new different integral equation methods for the study of axisymmetric harmonic electromagnetic problems are presented. Both the proposed formulations allow for the modeling of conductive and magnetic media and inhomogeneous media can be considered as well. Thanks to the use of low-rank approximation techniques a drastic reduction of the required memory and computational cost is achieved with a truly negligible loss of accuracy. The numerical features of the two proposed integral methods are widely discussed and compared. Moreover, most of the considerations hold for the case of 3-D integral methods. Sample codes of the two formulations are made available at https://github.com/UniPD-DII-ETCOMP/DenseMatrixMarket.

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“…At present, the related research work mainly focuses on the theoretical modelling and experimental measurement of the levitation behaviour for the SMB. Therefore, some analytical models [7][8][9], numerical models [10][11][12], and experiment measurements [13][14][15] are developed to obtain the levitation behaviour of the SMB, including the relaxation characteristics [16,17], the vibration characteristics [18,19], the optimisation design [20,21], multi-physic field coupling modelling [22,23] and so on. In spite of these, we find that almost the theoretical and experimental work only study the axial (vertical) and the radial (guidance) levitation behaviours, respectively, and independently.…”

Section: Introductionmentioning

confidence: 99%

Investigation on the multi‐DoF 3‐D model and levitation behaviour of radial‐type superconducting magnetic bearing

Zhang

et al. 2019

IET Electric Power Applications

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It is crucial to calculate the levitation force and model the levitation behaviour in the designation of superconducting magnetic bearing (SMB). At present, the related research focuses on the single degree of freedom (DoF) levitation behaviour of the SMB independently, for instance the axial or radial levitation force. Practically, the superconducting magnetic levitation is passive levitation at directions of multi-DoF. Additionally, the non-ideal conditions in fabrication, such as the joint effect of superconducting bulks, lead to complex 3-D-induced current distributions which generate the levitation force. There are coupling effects which affect the levitation forces at the directions of different DoFs. This paper investigates the multi-DoF modelling and levitation behaviour of the radial-type SMB. By adopting the Power-law E-J relation, the dependence of conductivity on electric field is derived to define the superconductive material. Then, the software MagNet is employed to establish the 3-D multi-DoF finite element model. Under the external disturbance of the PM rotor with axial constant speed and constant load, the multi-DoF levitation behaviours of radial-type SMB are discussed considering the joint effect of superconducting bulks. It is also obtained that the influence of the revolving speed, the static, and dynamic eccentricity on the axial levitation force. (a) Levitation forces of the 3-DoF motion, (b) Positions of the 3-DoF motion, (c) Speeds of the 3-DoF motion

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Levitation Force Maximization in HTS Magnetic Bearings Formulated by a Semianalytical Approach

Cited by 3 publications

References 14 publications

Simplified calculation for the radial levitation force of radial‐type superconducting magnetic bearing

Simplified calculation for the radial levitation force of radial‐type superconducting magnetic bearing

Volume Integral Equation Methods for Axisymmetric Problems With Conductive and Magnetic Media

Investigation on the multi‐DoF 3‐D model and levitation behaviour of radial‐type superconducting magnetic bearing

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