Integral formulation for 3D eddy-current computation using edge elements

Albanese, R.; Rubinacci,

doi:10.1049/ip-a-1.1988.0072

Cited by 108 publications

(129 citation statements)

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“…The major considerations for a good three dimensional model are the establishment of the correct formulation and derivation of the quantities of interest such as eddy current densities, flux densities and coil impedance from the solution. Many different formulations [21][22][23][24][25] have been presented and used, each having its own advantages and disadvantages. Three dimen sional modeling is concerned not only with the problem of discretization difficulties, but also with the vector nature of the application.…”

Section: Scope Of the Thesismentioning

confidence: 99%

Finite element and boundary element analysis of electromagnetic NDE phenomena

1995

NDT & E International

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This manuscript has been reproduced from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer.The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margins, and improper aligimient can adversely affect reproduction.In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material bad to be removed, a note will indicate the deletion.Oversize materials (e.g., maps, drawings, charts) are reproduced by sectioning the original, beginning at the upper left-hand corner and continuing from left to right in equal sections with small overlaps. Each original is also photographed in one exposure and is included in reduced form at the back of the book.Photographs included in the original manuscript have been reproduced xerographically in this copy. Higher quality 6" x 9" black and white photographic prints are available for any photographs or illustrations appearing in this copy for an additional charge. Contact UMI directly to order. Copyright © Shridhar Nath, 1992. All rights reserved.Signature was redacted for privacy.Signature was redacted for privacy.Signature was redacted for privacy.Signature was redacted for privacy.ii

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Section: Scope Of the Thesismentioning

confidence: 99%

Finite element and boundary element analysis of electromagnetic NDE phenomena

1995

NDT & E International

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“…Furthermore, the meshes and consequently the matrices involved in the calculations have to be updated during the motion and the analysis of unbounded domains requires special treatments [21]. Alternative approaches, mostly based on integral formulations such as the one used in this paper, have a number of characteristics that make them well suited for the analysis of electromechanical systems [22]. In particular, the problem of coupling moving meshes does not arise when integral formulation is used to simulate these kind of systems, since only the discretization of the active regions is required.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Static and Dynamic Behavior of a Non Hysteretic Superconductive Passive Magnetic Linear Bearing by Using an Electromagnetic Integral Formulation

Díez-Jiménez¹,

Musolino²,

Rizzo³

et al. 2016

PIER M

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Abstract-In this paper the analysis of the static and dynamic behavior of a non-hysteretic superconductive passive linear bearing is described. The high translational symmetry of the magnetic field seen by the permanent magnet assures a usable long stroke in the order of several tens of millimeters. The linear bearing in combination with an actuating system for only one degree of freedom can be used for accurate long-stroke precision positioning systems for cryogenic environments with zero hysteresis in the movement. The dynamics of the system is investigated using an integral formulation which transforms the solution of the field equations in the solution of an equivalent electric network. The knowledge of the currents in the equivalent network allows to evaluate all the electromagnetic quantities (fields, forces, eddy currents, . . . ) in the system. Finally, the coupling with the equation of the rigid body permits to simulate the electro/mechanical behavior of the system with six degree of freedom (6 DOF).

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“…On the other hand, a magnetoquasistatic problem can be also formulated in terms of integral equations [16][17][18]. Integral equations allow, in general, to concentrate the mesh in the conducting and magnetic regions only and regularity conditions of the field at the infinity are automatically satisfied; as a drawback, they lead to a full system of equations, compared with the sparse system yielded by the discretization of partial differential equations.…”

Section: Introductionmentioning

confidence: 99%

“…We will concentrate mainly on the geometric aspects at the base of the integral formulation and on the discretization process which yields to a discrete differential system of equations from the original integral equation governing an eddy-current problem in linear media. The resulting integral geometric formulation can also treat non-topologically trivial domains by resorting to the techniques already described originally in [16,19] for multiply connected regions or more generally in [20][21][22] and we will not give the details here.…”

Section: Introductionmentioning

confidence: 99%

A geometric integral formulation for eddy‐currents

Codecasa

Specogna

Trevisan

2010

Numerical Meth Engineering

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SUMMARYIn the computational electromagnetism community it is known how the differential formulation of an eddy-current problem, can be translated into a finite dimensional system of equations involving circulations and fluxes, by means of the so-called Discrete Geometric Approach. This is done by exploiting the geometric structure behind Maxwell's equations. In this paper, we will show how the same Discrete Geometric Approach can be profitably used also to discretize an eddy-current problem formulated in an integral way.We rely on a purely geometric definition of a novel set of face vector basis functions that we use to construct the discrete counterparts-matrices-of both the Ohm's constitutive relation and of the integral relation between the magnetic vector potential and the eddy-current density vector. The symmetry and positive-definiteness of such matrices will be demonstrated and their geometric structure will be apparent.

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Integral formulation for 3D eddy-current computation using edge elements

Cited by 108 publications

References 0 publications

Finite element and boundary element analysis of electromagnetic NDE phenomena

Finite element and boundary element analysis of electromagnetic NDE phenomena

Analysis of the Static and Dynamic Behavior of a Non Hysteretic Superconductive Passive Magnetic Linear Bearing by Using an Electromagnetic Integral Formulation

A geometric integral formulation for eddy‐currents

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