Le calcul des courants de Foucault en dimension 3, avec le champ  électrique comme inconnue. I : Principes

Bossavit, Alain

doi:10.1051/rphysap:01990002502018900

Cited by 17 publications

(10 citation statements)

References 7 publications

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“…This equation can be used to compute both the electric field [10] and the so-called modified vector potential [11]. We derive here the equation for the modified vector potential.…”

Section: Modified Magnetic Potential Equation For the Tm Formulationmentioning

confidence: 99%

A Slideing Mesh-Mortar Method for a two Dimensional Currents Model of Electric Engines

Buffa

2001

ESAIM: M2AN

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Abstract. The paper deals with the application of a non-conforming domain decomposition method to the problem of the computation of induced currents in electric engines with moving conductors. The eddy currents model is considered as a quasi-static approximation of Maxwell equations and we study its two-dimensional formulation with either the modified magnetic vector potential or the magnetic field as primary variable. Two discretizations are proposed, the first one based on curved finite elements and the second one based on iso-parametric finite elements in both the static and moving parts. The coupling is obtained by means of the mortar element method (see [7]) and the approximation on the whole domain turns out to be non-conforming. In both cases optimal error estimates are provided. Numerical tests are then proposed in the case of standard first order finite elements to test the reliability and precision of the method. An application of the method to study the influence of the free part movement on the currents distribution is also provided.Mathematics Subject Classification. 35Q60, 65N15, 65M55, 68U20, 78A30.

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“…This equation can be used to compute both the electric field [10] and the so-called modified vector potential [11]. We derive here the equation for the modified vector potential.…”

Section: Modified Magnetic Potential Equation For the Tm Formulationmentioning

confidence: 99%

A Slideing Mesh-Mortar Method for a two Dimensional Currents Model of Electric Engines

Buffa

2001

ESAIM: M2AN

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“…It is to be mentioned that Equations (1a)}(1e) allow the computation of the "eld H everywhere in but they do not allow to univocally compute the "eld E in the non-conducting regions. The question of the non-uniqueness of the electric "eld in the non-conducting regions goes beyond the purpose of this paper (see Reference [15] for details) and in the following we suppose that '0 in . Moreover, for the well-posedness of the problem, we suppose that there exists a such that * '0 in and we de"ne "1/ .…”

Section: Classical Formulationmentioning

confidence: 99%

The mortar edge element method on non‐matching grids for eddy current calculations in moving structures

Rapetti

2001

Int J Numerical Modelling

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SUMMARYThe subject presented in this paper concerns the approximation of the eddy current problem in nonstationary geometries with sliding interfaces. The physical system is supposed to be composed of two solid parts: a "xed one (stator) and a moving one (rotor) which slides in contact with the stator. We consider a two-dimensional mathematical model based on the transverse electric formulation of the eddy currents problem in the time domain and the primary unknown is the electric ,eld vector. The "rst-order approximation of the problem that we propose here is based on the mortar element method combined with the edge element discretization in space and an implicit Euler scheme in time. Numerical results illustrate the accuracy of the method and allow to understand the in#uence of the rotor movement on the currents distribution.

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“…The problem is to discretize the matrix associated to S [6], [7]. • In a similar way, the magnetic field is kept as the alone unknown quantity in a formulation limited to (4).…”

Section: The Problemmentioning

confidence: 99%

“…These fields will be expressed from Green's function associated to Helmholtz's equation: (6) This expression may also be written with in the two integrals on ; the right hand side is then [5]: . The integral on will be expressed from a Poincaré-Steklov operator :…”

Section: The Problemmentioning

confidence: 99%

Comparison of several BIM for the computation of the electromagnetic wave penetration in a conductor

Bandelier

Rioux‐Damidau

2000

IEEE Trans. Magn.

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We present several formulations for the computation of the fields appearing in a conductor when it is immersed in a high frequency electromagnetic field. They all use a Finite Element Method in the conductor but differ by the choice of the unknown quantities on the boundary and by the Boundary Integral Method used for the treatment of the outside problem. We compare their performances.Index Terms-Boundary element calculations, electromagnetic waves, finite element calculations.

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Le calcul des courants de Foucault en dimension 3, avec le champ électrique comme inconnue. I : Principes

Cited by 17 publications

References 7 publications

A Slideing Mesh-Mortar Method for a two Dimensional Currents Model of Electric Engines

A Slideing Mesh-Mortar Method for a two Dimensional Currents Model of Electric Engines

The mortar edge element method on non‐matching grids for eddy current calculations in moving structures

Comparison of several BIM for the computation of the electromagnetic wave penetration in a conductor

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