References of "IEEE Transactions on Magnetics"
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See detailPerfect Conductor and Impedance Boundary Condition Corrections via a Finite Element Subproblem Method
Dular, Patrick ULg; Péron, Victor; Perrussel, Ronan et al

in IEEE Transactions on Magnetics (2014), 50(2),

A finite element subproblem method is developed to correct the inaccuracies proper to perfect conductor and impedance boundary condition models, particularly near edges and corners of the conductors, for ... [more ▼]

A finite element subproblem method is developed to correct the inaccuracies proper to perfect conductor and impedance boundary condition models, particularly near edges and corners of the conductors, for a large range of conductivities and frequencies. Successive local corrections, supported by fine local meshes, can be obtained from each model to a more accurate one, allowing efficient extensions of their domains of validity. [less ▲]

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See detailComparison of Residual and Hierarchical Finite Element Error Estimators in Eddy Current Problems
Dular, Patrick ULg; Tang, Zuqi; Le Ménach, Yvonnick et al

in IEEE Transactions on Magnetics (2014), 50(2),

The finite element computation of eddy current problems introduces numerical error. This error can only be estimated. Among all error estimators (EEs) already developed, two estimators, called residual ... [more ▼]

The finite element computation of eddy current problems introduces numerical error. This error can only be estimated. Among all error estimators (EEs) already developed, two estimators, called residual and hierarchical EEs, proven to be reliable and efficient, are theoretically and numerically compared. Both estimators show similar behaviors and locations of the error. [less ▲]

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See detailModeling of Transformer Core Joints via a Subproblem FEM and a Homogenization Technique
Ferreira da Luz, Mauricio Valencia; Dular, Patrick ULg; Vianei Leite, Jean et al

in IEEE Transactions on Magnetics (2014), 50(2),

A subproblem finite element method is developed for modeling the transformer core joints. It applies magnetostatic and magnetodynamic models on progressive geometries and different components of the ... [more ▼]

A subproblem finite element method is developed for modeling the transformer core joints. It applies magnetostatic and magnetodynamic models on progressive geometries and different components of the solution, supported by different meshes. It allows an efficient and robust analysis of magnetic circuits in any frequency range, with an accurate calculation of flux density, losses, reluctance, and impedance in transformer core joint zone. The models of the study properly account for the effects of core design parameters such as length of air gaps and overlap length in stacked-lamination cores. The proposed models, which include saturation, are applied to grain-oriented silicon steel and two types of step-lap joints are considered: single-step-lap (SSL) joints and multistep-lap (MSL) joints. The values of magnetic reluctance, impedance, and Joule losses obtained with SSL joint are bigger than with MSL joint. [less ▲]

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See detail3-D Modeling of Thin Sheets in the Discontinuous Galerkin Method for Transient Scattering Analysis
Boubekeur, Mohamed; Kameni, Abelin; Bernard, Laurent et al

in IEEE Transactions on Magnetics (2014), 50(2), 493-496

This paper presents a modeling of thin sheets. An interface condition based on analytical solution is used to avoid a fine mesh. This condition is integrated in a time domain Discontinuous Galerkin method ... [more ▼]

This paper presents a modeling of thin sheets. An interface condition based on analytical solution is used to avoid a fine mesh. This condition is integrated in a time domain Discontinuous Galerkin method in order to evaluate the shielding effectiveness. This approach is validated by a comparison with analytical solution. 2D and 3D cavities are simulated to illustrate the efficiency of the condition. [less ▲]

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See detailNonlinear Computational Homogenization Method for the Evaluation of Eddy Currents in Soft Magnetic Composites
Niyonzima, Innocent ULg; Sabariego, Ruth Vazquez; Dular, Patrick ULg et al

in IEEE Transactions on Magnetics (2014), 50(02),

In this paper, a heterogeneous multiscale method technique is applied to model the behavior of electromagnetic fields in soft magnetic composites (SMC). Two problems are derived from the two-scale ... [more ▼]

In this paper, a heterogeneous multiscale method technique is applied to model the behavior of electromagnetic fields in soft magnetic composites (SMC). Two problems are derived from the two-scale homogenization theory: a macroscale problem that captures the slow variations of the overall solution, and many mesoscale problems that allow determining the constitutive laws at the macroscale. As application, an SMC core is considered. [less ▲]

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See detailA 3-D Semi-Implicit Method for Computing the Current Density in Bulk Superconductors
Kameni, Abelin; Boubekeur, Mohamed; Alloui, Lotfi et al

in IEEE Transactions on Magnetics (2014), 50(2), 377--380

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See detailIron loss calculation in steel laminations at high frequencies
Henrotte, François; Steentjes, Simon; Hameyer, Kay et al

in IEEE Transactions on Magnetics (2014), 50(2), 333-336

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See detailComputational Homogenization for Laminated Ferromagnetic Cores in Magnetodynamics
Niyonzima, Innocent ULg; V Sabariego, Ruth; Dular, Patrick ULg et al

in IEEE Transactions on Magnetics (2013), 49(5), 2049-2052

In this paper, we investigate the modeling of ferromagnetic multiscale materials. We propose a computational homogenization technique based on the heterogeneous multiscale method (HMM) that includes both ... [more ▼]

In this paper, we investigate the modeling of ferromagnetic multiscale materials. We propose a computational homogenization technique based on the heterogeneous multiscale method (HMM) that includes both eddy-current and hysteretic losses at the mesoscale. The HMM comprises: 1) a macroscale problem that captures the slow variations of the overall solution; 2) many mesoscale problems that allow to determine the constitutive law at the macroscale. As application example, a laminated iron core is considered. [less ▲]

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See detailTime-domain surface impedance boundary conditions enhanced by coarse volume finite-element discretisation
Vazquez Sabariego, Ruth ULg; Geuzaine, Christophe ULg; Dular, Patrick ULg et al

in IEEE Transactions on Magnetics (2012), 48(2), 631-634

In computational magnetodynamics, surface impedance boundary conditions allow to accurately account for high-frequency flux components while removing the massive conducting regions from the computation ... [more ▼]

In computational magnetodynamics, surface impedance boundary conditions allow to accurately account for high-frequency flux components while removing the massive conducting regions from the computation domain. The time-domain approach previously proposed by the authors relies on the spatial discretisation of a 1-D eddy-current problem by means of dedicated basis functions derived from the analytical frequency-domain solution. In this paper, these time-domain impedance conditions are combined with a coarse volume finite-element discretisation of the massive conductors to capture slowly varying flux components. The accuracy of the hybrid approach can further be improved by introducing a fictitious frequency-dependent conductivity. The method is illustrated and validated by means of 1-D and 2-D test cases in the frequency and time domain. [less ▲]

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See detailEddy Currents and Corner Singularities
Buret, François; Dauge, Monique; Dular, Patrick ULg et al

in IEEE Transactions on Magnetics (2012), 48(2), 679-682

Eddy current problems are addressed in a bidimensional setting where the conducting medium is non-magnetic and has a corner singularity. For any fixed parameter linked to the skin depth for a plane ... [more ▼]

Eddy current problems are addressed in a bidimensional setting where the conducting medium is non-magnetic and has a corner singularity. For any fixed parameter linked to the skin depth for a plane interface, we show that the flux density is bounded near the corner unlike the perfect conducting case. Then as goes to zero, the first two terms of a multiscale expansion of the magnetic potential are introduced to tackle the magneto-harmonic problem. The heuristics of the method are given and numerical computations illustrate the obtained accuracy. [less ▲]

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See detailA Finite Element Subproblem Method for Position Change Conductor Systems
Dular, Patrick ULg; Krähenbühl, Laurent; Vazquez Sabariego, Ruth ULg et al

in IEEE Transactions on Magnetics (2012), 48(2), 403-406

Analyses of magnetic systems with position changes of both massive and stranded conductors are performed via a finite element sub- problem method. A complete problem is split into subproblems associated ... [more ▼]

Analyses of magnetic systems with position changes of both massive and stranded conductors are performed via a finite element sub- problem method. A complete problem is split into subproblems associated with each conductor and the magnetic regions. Each complete solution is then expressed as the sum of subproblem solutions supported by different meshes. The subproblem procedure simplifies both meshing and solving processes, with no need of remeshing, and accurately quantifies the effect of the position changes of conductors on both local fields, e.g., skin and proximity effects, and global quantities, e.g., inductances and forces. Applications covering parameterized analyses on conductor positions to moving conductor systems can benefit from the developed approach. [less ▲]

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See detailSubproblem Approach for Thin Shell Dual Finite Element Formulations
Dang, Quoc Vuong ULg; Dular, Patrick ULg; Vazquez Sabariego, Ruth ULg et al

in IEEE Transactions on Magnetics (2012), 48(2), 407-410

A subproblem technique is applied to dual thin shell finite element formulations. Both the magnetic vector potential and magnetic field formulations are considered. The subproblem approach developed ... [more ▼]

A subproblem technique is applied to dual thin shell finite element formulations. Both the magnetic vector potential and magnetic field formulations are considered. The subproblem approach developed herein couples three problems: a simplified model with only inductors, a thin region problem using approximate interface conditions and a correction problem to improve the accuracy of the thin shell approximation, in particular near their edges and corners. Each problem has its own geometry and is solved on its associated finite element mesh. [less ▲]

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See detailComputation of induced fields into the human body by dual Finite Element formulations
Scorretti, R.; Vazquez Sabariego, Ruth ULg; Morel, L. et al

in IEEE Transactions on Magnetics (2012), 48(2), 783-786

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See detailFinite Element Computational Homogenization of Nonlinear Multiscale Materials in Magnetostatics
Niyonzima, Innocent ULg; V Sabariego, Ruth ULg; Dular, Patrick ULg et al

in IEEE Transactions on Magnetics (2012), 48(2), 587-590

The increasing use of composite materials in the technological industry (automotive, aerospace, ...) requires the development of effective models that account for the complexity of the microstructure of ... [more ▼]

The increasing use of composite materials in the technological industry (automotive, aerospace, ...) requires the development of effective models that account for the complexity of the microstructure of these materials and the nonlinear behaviour they can exhibit. In this paper we develop a multiscale computational homogenization method for modelling nonlinear multiscale materials in magnetostatics based on the finite element method. The method solves the macroscale problem by getting data from certain microscale problems around some points of interest. The missing nonlinear constitutive law at the macroscale level is derived through an upscaling from the microscale solutions. The downscaling step consists in imposing a source term and determining proper boundary conditions for microscale problems from the macroscale solution. For a two-dimensional geometry, results are validated by comparison with those obtained with a classical brute force finite element approach and a classical homogenization technique. The method provides a good overall macroscale response and more accurate local data around points of interest. [less ▲]

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See detailElectro-Mechano-Fluidic Modelling of Microsystems using Finite Elements
Rochus, V.; Gutschmidt, S.; Cardona, A. et al

in IEEE Transactions on Magnetics (2012), 48(2), 355-358

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See detailDiscontinuous Galerkin Method for Computing Induced Fields in Superconducting Materials
Kameni, A.; Lambrechts, J.; Remacle, J.-F. et al

in IEEE Transactions on Magnetics (2012), 48(2), 591-594

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See detailStochastic uncertainty quantification of eddy currents in the human body by polynomial chaos decomposition
Gaignaire, R.; Scorretti, R.; Vazquez Sabariego, Ruth ULg et al

in IEEE Transactions on Magnetics (2012), 48(2), 451-454

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See detailA Model Reduction Algorithm for Solving Multiple Scattering Problems Using Iterative Methods
Vion, Alexandre ULg; Vazquez Sabariego, Ruth ULg; Geuzaine, Christophe ULg

in IEEE Transactions on Magnetics (2011), 47(5), 1470-1473

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See detailCorrection of Thin Shell Finite Element Magnetic Models via a Subproblem Method
Dular, Patrick ULg; Dang, Quoc Vuong ULg; Vazquez Sabariego, Ruth ULg et al

in IEEE Transactions on Magnetics (2011), 47(5), 1158-1161

A subproblem finite-element method is developed for correcting the inaccuracies near edges and corners inherent to thin shell models, for both magnetostatic and magnetodynamic problems. A thin shell ... [more ▼]

A subproblem finite-element method is developed for correcting the inaccuracies near edges and corners inherent to thin shell models, for both magnetostatic and magnetodynamic problems. A thin shell solution, supported by a simplified mesh near the thin structures, serves as a source of a correction problem with the actual volumic thin regions alone in a homogeneous medium, concentrating the meshing effort on the thin regions only. Improvements of local fields are efficiently achieved and allow accurate force and loss calculations. [less ▲]

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See detailTime-domain geometric eddy-current A formulation for hexahedral grids
Codecasa, Lorenzo; Dular, Patrick ULg; Specogna, Ruben et al

in IEEE Transactions on Magnetics (2010), 46(8), 3301-3304

The aim of this paper is to present a 3-D time-domain eddy-current A formulation based on the discrete geometric approach (DGA) over unstructured and nonorthogonal hexahedral dual grids. The resulting ... [more ▼]

The aim of this paper is to present a 3-D time-domain eddy-current A formulation based on the discrete geometric approach (DGA) over unstructured and nonorthogonal hexahedral dual grids. The resulting differential algebraic system of equation, solved by means of a singly-diagonally implicit Runge-Kutta (SDIRK) variable step-size solver, leads to very accurate results at reduced computational costs, as shown by numerical analysis. [less ▲]

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