A New Integral Formulation for Eddy Current Computation in Thin Conductive Shells

Duc, Tung Le; Meunier, G.; Chadebec, Olivier; Guichon, Jean‐Michel

doi:10.1109/tmag.2011.2173920

Cited by 21 publications

(42 citation statements)

References 10 publications

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“…This paper presents a new integral formulation which allows the modeling of magnetic and conductive thin shells in the general case ( or or ). This method is a natural extension of the method proposed in [9]. Moreover, we will see that an additional advantage is its implementation simplicity avoiding the complex computation of volume singular integrals as in [9].…”

Section: Introductionmentioning

confidence: 83%

“…This method is a natural extension of the method proposed in [9]. Moreover, we will see that an additional advantage is its implementation simplicity avoiding the complex computation of volume singular integrals as in [9]. Let use notice that the formulation is currently limited to linear cases but this assumption is often reliable for shielding effects computations.…”

Section: Introductionmentioning

confidence: 94%

“…The field variation of the tangential component across the thickness of shell can be approximated by the analytical solution of the problem for an infinite plane [1], [2]: (1) where , and are the tangential values of the magnetic field on both sides of the shell. Applying Galerkin's method on the Maxell-Faraday equation for the side "1" of the shell, we have [2], [9]: (2) where , ; w is a set of nodal surface weighting functions; is the normal vector corresponding to the side "1" of the shell and is the line region delimiting the surface. The symmetrical equation corresponding to the other side of the shell is obtained by simply exchanging the indices "1" and "2":…”

Section: Thin Shell Equationmentioning

confidence: 99%

“…It increases the size of the needed mesh if this effect is properly modeled. Shell element formulations have been developed to overcome such difficulties, e.g., with the boundary element method (BEM) [1], with the finite-element method [2]- [8] and with an integral method recently proposed by the authors of this paper [9].…”

Section: Introductionmentioning

confidence: 99%

“…In [9], a general shell element formulation for thin conductive regions modeling has been proposed ( or or ). As in [1]- [8], this formulation takes into account the field variation through the depth due to the skin effect.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

General Integral Formulation for the 3D Thin Shell Modeling

et al. 2013

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In order to compute electromagnetic problems in presence of thin conductive and magnetic shells, a new integral formulation is proposed. Based on the principle of shell element, the formulation is general and enables the modeling of various problems for any skin-depth, avoiding the air region meshing. The formulation is validated thanks to an axisymmetric FEM and compared with another shell formulation implemented in a 3D FEM. Advantages and drawbacks of this new formulation are discussed.Index Terms-Eddy currents, integral equation method, quasi-static, skin effect, thin shell.

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Section: Introductionmentioning

confidence: 83%

Section: Introductionmentioning

confidence: 94%

Section: Thin Shell Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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General Integral Formulation for the 3D Thin Shell Modeling

et al. 2013

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A simple integral formulation for the modeling of thin conductive shells

Duc

Meunier

Chadebec

et al. 2013

Eur. Phys. J. Appl. Phys.

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In order to model thin conductive non-magnetic shells, an original surface integral formulation is proposed. The method is based on a surface impedance condition which takes into account the field variation through depth due to skin effect. It is general and enables the modeling of various problems whatever their skin depth and avoiding the meshing of the air region. The formulation is compared with another integral formulation recently proposed by authors and is validated thanks to an axisymmetric finite-element method (FEM). Advantages and drawbacks of this new formulation are discussed.

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Subproblem approach for modeling multiply connected thin regions with an h-conformal magnetodynamic finite element formulation

Dang

Dular

Sabariego

et al. 2013

Eur. Phys. J. Appl. Phys.

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Abstract.A subproblem h-conform eddy current finite element method is proposed for correcting the inaccuracies inherent to thin shell models. Such models replace volume thin regions by surfaces but neglect border e↵ects in the vicinity of their edges and corners. The developed surface-to-volume correction problem is defined as a step of the multiple subproblems applied to a complete problem, consisting of inductors and magnetic or conducting regions, some of these being thin regions. The general case of multiply connected thin regions is considered.

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A New Integral Formulation for Eddy Current Computation in Thin Conductive Shells

Cited by 21 publications

References 10 publications

General Integral Formulation for the 3D Thin Shell Modeling

General Integral Formulation for the 3D Thin Shell Modeling

A simple integral formulation for the modeling of thin conductive shells

Subproblem approach for modeling multiply connected thin regions with an h-conformal magnetodynamic finite element formulation

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