Oscillatory Motion of Permanent Magnets Above a Conducting Slab

Weise, Konstantin; Ziółkowski, Marek; Carlstedt, Matthias; Brauer, Hartmut; Toepfer, Hannes

doi:10.1109/tmag.2015.2448519

Cited by 14 publications

(4 citation statements)

References 41 publications

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NRMSD = \frac{\sqrt{\frac{1}{v_{normale}} true \int_{0}^{v_{normale}} {[F_{normalb}^{FEM} (v) - F_{normalb}^{ANA} (v)]}^{2}}}{max [F_{normalb}^{FEM} (v)] - min [F_{normalb}^{FEM} (v)]} 100 %

where v e is 20 m/s.…”

Section: Verification For Proposed Methodsmentioning

confidence: 99%

“…To evaluate the accuracy of the ANA method, in view of the degree of agreement between the FEM results and the test, the FEM results are considered to be accurate here. The relative difference between ANA and FEM results are quantified using the normalized root mean square deviation (NRMSD) [24]: NRMSD ¼ ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi ffi…”

Section: Static Longitudinal Edge Effect Analysismentioning

confidence: 99%

“…The steady‐state induced electromotive force is 0. In this way, the eddy current is modelled by the v × B term [24]:

\nabla^{2} A = μ_{0} μ_{r} σ v \frac{\partial A}{\partial z}

…”

Section: Theorymentioning

confidence: 99%

See 2 more Smart Citations

Equivalent subdomain method for performance prediction of permanent magnet eddy current brakes

Yang

2021

IET Electric Power Appl

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An equivalent subdomain method for calculating the performance parameters of permanent magnet eddy current brakes (ECB) is presented by combining subdomain technology with a magnetic equivalent circuit (MEC) model. The proposed method replaces the source term in the subdomain model with an equivalent current sheet applied to the boundary of an equivalent region. The relative permeability of the equivalent region is related to design parameters rather than infinite ones and is obtained by the MEC model considering the eddy current reaction. A small prototype experimental platform is established. The validity of the proposed method is verified by the experiment and the finite element method (FEM). The results show that the braking force predicted by the method match well with those obtained by the FEM without considering the edge effect, and are slightly larger than those measured by the experiment. Considering the static edge effect, the results of the proposed method agree well with the measured values and FEM results. The method also proves to be effective in the performance prediction of the ECB with different design parameters. In addition, the limitation of the proposed method is discussed in detail.This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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NRMSD = \frac{\sqrt{\frac{1}{v_{normale}} true \int_{0}^{v_{normale}} {[F_{normalb}^{FEM} (v) - F_{normalb}^{ANA} (v)]}^{2}}}{max [F_{normalb}^{FEM} (v)] - min [F_{normalb}^{FEM} (v)]} 100 %

where v e is 20 m/s.…”

Section: Verification For Proposed Methodsmentioning

confidence: 99%

Section: Static Longitudinal Edge Effect Analysismentioning

confidence: 99%

See 1 more Smart Citation

Equivalent subdomain method for performance prediction of permanent magnet eddy current brakes

Yang

2021

IET Electric Power Appl

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“…One of the frequent experiments that has been, for years, a point of interest of many experimental and theoretical studies [1][2][3][4][5] and can be easily executed is the fall of a (neodymium) magnet through a thick-walled (well-conductive) copper tube. The popularity of these experiments is because of their highly demonstrative display.…”

Section: Introductionmentioning

confidence: 99%

Permanent magnet motion in a copper tube

Franek¹,

Šoka²

2018

Turk J Phys

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This paper deals with the investigation of braking forces induced by eddy currents, which have effects on the permanent magnet moving at a constant speed in the direction of the conductive tube axis. The analysis is based on calculation of an action of a force between the current density, representing the magnet, and the eddy currents. The chosen solution is based on classical electrodynamics and can serve as a guide for the calculation of other cases, where braking forces are created between the moving cell, which is a source of the magnetic field, and a close conductive subject.The obtained results indicate the braking force affecting the magnet and the dependence of this force on the current.The graphical representation of the results shows that the balancing velocity of the magnet fall is inversely proportional to the quadrant of its magnetic moment. This work may be useful for experts in the area of the design of electromagnetic clutches, brakes, and actuators and for university teachers dealing with electrodynamics. Moreover, it can serve as a demonstration of a calculation of the field by vector potential, which is an appropriate quantity used for the description of magnetic fields.

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Motion-Induced Eddy Current Testing

Brauer

Ziółkowski

2019

Handbook of Advanced Nondestructive Evaluation

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Oscillatory Motion of Permanent Magnets Above a Conducting Slab

Cited by 14 publications

References 41 publications

Equivalent subdomain method for performance prediction of permanent magnet eddy current brakes

Equivalent subdomain method for performance prediction of permanent magnet eddy current brakes

Permanent magnet motion in a copper tube

Motion-Induced Eddy Current Testing

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