References of "IEEE Transactions on Magnetics"
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See detailProgressive Current Source Models in Magnetic Vector Potential Finite-Element Formulations
Dular, Patrick ULg; Kuo-Peng, Patrick; Ferreira da Luz, Mauricio V. et al

in IEEE Transactions on Magnetics (2016), 52(3),

Progressive refinements of the current sources in magnetic vector potential finite-element (FE) formulations are done with a subproblem method. The sources are first considered through magnetomotive force ... [more ▼]

Progressive refinements of the current sources in magnetic vector potential finite-element (FE) formulations are done with a subproblem method. The sources are first considered through magnetomotive force or Biot–Savart models up to their volume FE models, from statics to dynamics. A novel way to define the source fields is proposed to lighten the computational efforts, through the conversion of the common volume sources to surface sources, without the need for any preresolution. Accuracy improvements can then be obtained for local currents and fields, and global quantities, i.e., inductances, resistances, Joule losses, and forces. [less ▲]

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See detailFinite-Element Homogenization of Laminated Iron Cores With Inclusion of Net Circulating Currents Due to Imperfect Insulation
Gyselinck, Johan; Dular, Patrick ULg; Krähenbühl, Laurent et al

in IEEE Transactions on Magnetics (2016), 52(3),

This paper deals with the time-domain homogenization of laminated cores in 2-D or 3-D finite-element (FE) models of electromagnetic devices, allowing for net circulating current in the laminations (e.g ... [more ▼]

This paper deals with the time-domain homogenization of laminated cores in 2-D or 3-D finite-element (FE) models of electromagnetic devices, allowing for net circulating current in the laminations (e.g., due to imperfect or damaged insulation). The homogenization is based on the expansion of the induction throughout the lamination thickness using a set of orthogonal polynomial basis functions (BFs), in conjunction with the magnetic vector potential formulation. These BFs allow for net flux, net current, and skin effect in the laminations; by choosing the number of BFs, one can compromise between accuracy and computational cost. The approach is validated through a linear 2-D test case with in-plane imposed and induced current density. A brute-force model, in which all laminations are finely meshed, produces the reference solution. The extension to nonlinear 3-D problems is expected to be straightforward. [less ▲]

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See detailNonlinear Interpolation on Manifold of Reduced Order Models in Magnetodynamic Problems
Paquay, Yannick ULg; Bruls, Olivier ULg; Geuzaine, Christophe ULg

in IEEE Transactions on Magnetics (2016), 52(3), 1-4

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See detailReduced Order Model for Accounting for High Frequency Effects in Power Electronic Components
Paquay, Yannick ULg; Geuzaine, Christophe ULg; Hasan, Md. Rokibul et al

in IEEE Transactions on Magnetics (2016)

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See detailComputation of Source for Non-Meshed Coils in a Reduced Domain with A–V Formulation
Ferrouillat, Pauline; Guérin, Christophe; Meunier, Gérard et al

in IEEE Transactions on Magnetics (2016), 52(3),

The discretized source magnetic vector potential Aj, projected from source field Hs with H(curl,Ω) semi-norm, is studied for non-meshed coils with magnetic vector potential A and electric scalar potential ... [more ▼]

The discretized source magnetic vector potential Aj, projected from source field Hs with H(curl,Ω) semi-norm, is studied for non-meshed coils with magnetic vector potential A and electric scalar potential V formulation. As a novelty, source potential Aj is computed in a reduced domain Ωred instead of the complete domain Ω. For domains with fixed and moving parts, potential Aj can be computed on each part, for each of the related current sources, with no need to ensure its continuity between these parts. [less ▲]

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See detailDesign Sensitivity Analysis for Shape Optimization of Nonlinear Magnetostatic Systems
Kuci, Erin ULg; Henrotte, François; Duysinx, Pierre ULg et al

in IEEE Transactions on Magnetics (2016), 52(3),

The paper discusses the sensitivity analysis for the shape optimization of a nonlinear magnetostatic system, evaluated both by direct and adjoint approaches. The calculations rely on the Lie derivative ... [more ▼]

The paper discusses the sensitivity analysis for the shape optimization of a nonlinear magnetostatic system, evaluated both by direct and adjoint approaches. The calculations rely on the Lie derivative concept of differential geometry where the flow is the velocity field associated with the modification of a geometrical parameter in the model. The resulting sensitivity formulas can be expressed naturally in a finite element setting through a volume integral in the layer of elements connected to the surface undergoing shape modification. The accuracy of the methodology is analyzed on a 2D model of an interior permanent magnet motor (IPM), and on a 3D model of a permanent magnet system. [less ▲]

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See detailComparison of Nonlinear Domain Decomposition Schemes for Coupled Electromechanical Problems
Halbach, Alexandre ULg; Dular, Patrick ULg; Geuzaine, Christophe ULg

in IEEE Transactions on Magnetics (2016), 52(3),

The aim of this paper is to compare several domain decomposition schemes for nonlinear, coupled electromechanical problems. Both staggered and monolithic electrostatic/elastic formulations are considered ... [more ▼]

The aim of this paper is to compare several domain decomposition schemes for nonlinear, coupled electromechanical problems. Both staggered and monolithic electrostatic/elastic formulations are considered for the multiphysics problem. The domain decomposition is applied either to a single multiphysics iteration, which corresponds to a linear problem, or to the full nonlinear multiphysics resolution. In the latter, the problem solved at each domain decomposition iteration is nonlinear. The influence of the elastic wave’s frequency and the electrostatic potential on the convergence rate and the computational cost of the algorithm is investigated on a 2-D model of a vibrating micromembrane array. [less ▲]

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See detailDomain Decomposition Methods for Time-Harmonic Electromagnetic Waves with High Order Whitney Forms
Marsic, Nicolas ULg; Waltz, Caleb; Lee, Jin-Fa et al

in IEEE Transactions on Magnetics (2016), 52(3),

Classically, domain decomposition methods (DDM) for time-harmonic electromagnetic wave propagation problems make use of the standard, low order, Nédélec basis functions. This paper analyzes the ... [more ▼]

Classically, domain decomposition methods (DDM) for time-harmonic electromagnetic wave propagation problems make use of the standard, low order, Nédélec basis functions. This paper analyzes the convergence rate of DDM when higher order finite elements are used for both volume and interface discretizations, in particular when different orders are used in the volume and on the interfaces. [less ▲]

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See detailSubproblem Finite-Element Refinement of Inductors From Wire to Static and Dynamic Volume Models
Dular, Patrick ULg; Péron, Victor; Krähenbühl, Laurent et al

in IEEE Transactions on Magnetics (2015), 51(3),

Progressive refinements of inductors are done with a subproblem method, from their wire or filament representations with Biot–Savart models up to their volume finite-element models, from statics to ... [more ▼]

Progressive refinements of inductors are done with a subproblem method, from their wire or filament representations with Biot–Savart models up to their volume finite-element models, from statics to dynamics. The reaction fields of additional magnetic and/or conducting regions are also considered. Accuracy improvements are efficiently obtained for local fields and global quantities, i.e., inductances, resistances, Joule losses, and forces. [less ▲]

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See detailFinite Element Mesh Adaptation Strategy From Residual and Hierarchical Error Estimators in Eddy Current Problems
Dular, Patrick ULg; Le Menach, Yvonnick; Tang, Zuqi et al

in IEEE Transactions on Magnetics (2015), 51(3),

A strategy of mesh adaptation in eddy current finite element modeling is developed from both residual and hierarchical error estimators. Wished distributions of element sizes of adapted meshes are ... [more ▼]

A strategy of mesh adaptation in eddy current finite element modeling is developed from both residual and hierarchical error estimators. Wished distributions of element sizes of adapted meshes are determined from the element-wise local contributions to the estimators and define constraints for the mesh generator. Uniform distributions of the local error are searched. [less ▲]

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See detailRefinement of Homogenized Magnetodynamic Models of Wound Inductors Using Finite-Element Subproblems
De Grève, Zacharie; Dular, Patrick ULg; Gyselinck, Johan ULg et al

in IEEE Transactions on Magnetics (2015), 51(3),

In this paper, a methodology for refining the large-scale solutions obtained by 2-D magnetodynamic homogenized models of high-frequency inductor windings is proposed, based on the subproblem finite ... [more ▼]

In this paper, a methodology for refining the large-scale solutions obtained by 2-D magnetodynamic homogenized models of high-frequency inductor windings is proposed, based on the subproblem finite-element method. Two approaches are developed, depending on the type of source terms, which are employed to compute the corrections (namely, volumic or surfacic). An analysis of the error committed by the homogenized model, on the local (current densities in the conductors) as well as the global (resistance of the winding) level, is conducted, and appropriate correction strategies are proposed. For instance, it is shown that correcting some conductors in the vicinity of the air gap of an inductor is sufficient to get an acceptable value for the resistance. [less ▲]

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See detailSubproblem Finite-Element Refinement of Homogenized Dielectric Layers in Wound Inductors for Accurate Local Stresses Computation
De Grève, Zacharie; Dular, Patrick ULg; Meunier, Gérard et al

in IEEE Transactions on Magnetics (2015), 51(3),

Recently, a homogenized model in 2-D electrostatics has been proposed in order to avoid the meshing of the thin dielectric layers surrounding the conductors of transformers. The model performs a smoothing ... [more ▼]

Recently, a homogenized model in 2-D electrostatics has been proposed in order to avoid the meshing of the thin dielectric layers surrounding the conductors of transformers. The model performs a smoothing of the physical fields, which leads to an incorrect estimation of the peak values of the electric field between the conductors. This issue is critical for a correct design of the transformer insulation. Therefore, in this paper, the subproblem finite-element method is employed, so as to refine the homogenized model on selected areas, and recover the small scale variations of the fields. [less ▲]

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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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