Three-dimensional finite-element formulation for problems involving time-varying fields, relative motion, and magnetic saturation

Williamson, S.; Chan, Eleanor

doi:10.1049/ip-a-3.1993.0020

Cited by 10 publications

(2 citation statements)

References 11 publications

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“…Therefore, as ∇ · B s = 0 it is not necessary to model the source within the non-conducting region [26]. The source field will show up only on the conductive boundary.…”

Section: Conducting Plate Region ωmentioning

confidence: 99%

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General 2-D Transient Eddy Current Force Equations for a Magnetic Source Moving Above a Conductive Plate

Paudel¹,

Paul²,

Bird³

2012

PIER B

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Abstract-When a magnetic source is moved and/or oscillating above a conductive linear plate a traveling time varying magnetic field is created in the airgap. This field induces eddy currents in the plate that can simultaneously create normal and tangential forces. The transient fields and the forces created by the magnetic source are modeled using a novel 2-D analytic based A-φ method in which the presence of the source field is incorporated into the boundary conditions of the plate. The analytic based solution is obtained by using the spatial Fourier transform and temporal Laplace transform. The performance of the method is compared with a 2-D transient finite element model with a Halbach rotor source field. The derived transient force equations are written in a general form so that they can be applied to any magnetic source.

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“…Therefore, as ∇ · B s = 0 it is not necessary to model the source within the non-conducting region [26]. The source field will show up only on the conductive boundary.…”

Section: Conducting Plate Region ωmentioning

confidence: 99%

“…Expanding (A5) enables (A9) and (A10) to be expressed in terms of scalar potential terms and source field as [26] Figure A1. …”

Section: A1 Conducting Plate Region ωmentioning

confidence: 99%

General 2-D Transient Eddy Current Force Equations for a Magnetic Source Moving Above a Conductive Plate

Paudel¹,

Paul²,

Bird³

2012

PIER B

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The cause for BICG's failure to converge

et al. 1995

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Artificial diffusion concept for moving conductor eddy current problems with edge elements

et al. 1996

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In this paper, we report a way to condition the global stiffness matrix resulting from the Galerkin edge element formulation, in order to make the BICG solver converge for high Peclet number situations. The concept of artificial diffusion is introduced and extended to edge element cases. A general expression of the artificial diffusion scheme for 3D edge elements is derived and a numerical validation in 2D case is presented. It was observed that although nearly identical results were achieved both with or without introducing artificial parameters for a 2D test problem, the former provided a better conditioned global stiffness matrix to ensure the BICG's convergence.

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Three-dimensional finite-element formulation for problems involving time-varying fields, relative motion, and magnetic saturation

Cited by 10 publications

References 11 publications

General 2-D Transient Eddy Current Force Equations for a Magnetic Source Moving Above a Conductive Plate

General 2-D Transient Eddy Current Force Equations for a Magnetic Source Moving Above a Conductive Plate

The cause for BICG's failure to converge

Artificial diffusion concept for moving conductor eddy current problems with edge elements

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