Computation of Electromagnetic Fields

A special issue of J (ISSN 2571-8800). This special issue belongs to the section "Physical Sciences".

Deadline for manuscript submissions: closed (30 September 2021) | Viewed by 18521

Special Issue Editors


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Guest Editor
1. Laboratoire Ampère–UMR 5005 CNRS, Ecole Centrale de Lyon, 36 Avenue Guy de Collongues, 69134 Ecully, France
2. G2ELab–UMR 5269 CNRS, Université Grenoble Alpes, Department of Physics, Engineering, Earth & Environmental Sciences and Mechanics, Grenoble, France
Interests: finite element method; magnetic hysteresis; numerical dosimetry

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Guest Editor
G2ELab – UMR 5269 CNRS; Université Grenoble Alpes, Department of Physics, Engineering, Earth & Environmental Sciences and Mechanics, Grenoble, France
Interests: multiscale modeling; multiphysics modeling; parallel-in-time methods

Special Issue Information

Dear Colleagues,

Computational electromagnetics is a topic of high interest for engineers in search of more accurate numerical tools to predict the performances of industrial electromagnetic devices. It is also of interest for other scientists such physicists, medical doctors, biologist, etc., whose research involves dealing with electromagnetic fields. Much progress has been achieved concerning the development of numerical models for three-dimensional electromagnetic problems. This has led to the development of numerous open-source and commercial codes that can be used on standard computers and on supercomputers. However, there is a growing need for high-performing and more accurate models accounting for material and geometrical complexity of real-life devices. These models also represent a cornerstone for the development of numerical optimization methods.

This Special Issue aims at promoting original and high-quality papers on computational electromagnetics for multidisciplinary applications. In particular, the Guest Editor is seeking papers on electromagnetic formulations, multiphysics modeling and coupled problems, numerical techniques (model order reduction, multiscale modeling, parallel and distributed computing, etc.), material modeling, and bioelectromagnetics and optimization. The issue also welcomes papers on classical topics related to computational electromagnetics.

Considering your interest in this current research topic, we cordially invite you to submit a high-quality original research paper or review to this Special Issue of JMultidisciplinary Scientific Journal.

Dr. Riccardo Scorretti
Dr. Innocent Niyonzima
Guest Editors

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Keywords

  • electromagnetic formulations
  • multiphysics modeling
  • coupled problems
  • model order reduction
  • multiscale modeling
  • parallel and distributed computing
  • material modeling
  • bioelectromagnetics and optimization

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Published Papers (6 papers)

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Research

22 pages, 7320 KiB  
Article
Modelling of Positive Streamers in SF6 Gas under Non-Uniform Electric Field Conditions: Effect of Electronegativity on Streamer Discharges
by Francis Boakye-Mensah, Nelly Bonifaci, Rachelle Hanna, Innocent Niyonzima and Igor Timoshkin
J 2022, 5(2), 255-276; https://doi.org/10.3390/j5020018 - 9 May 2022
Cited by 4 | Viewed by 2888
Abstract
The use of SF6 in electrical insulation and fast-switching applications cannot be overemphasized. This is due to its excellent dielectric properties and high breakdown voltage, which are especially important for practical applications such as gas-insulated switchgears and pulsed power switches where pressurized [...] Read more.
The use of SF6 in electrical insulation and fast-switching applications cannot be overemphasized. This is due to its excellent dielectric properties and high breakdown voltage, which are especially important for practical applications such as gas-insulated switchgears and pulsed power switches where pressurized SF6 is used. Breakdown in the gas occurs via streamer–leader transition; however, this transition is difficult to quantify numerically at atmospheric pressure because of the electronegativity of the gas. In the present work, streamer discharges in SF6 gas at pressures of 10 and 100 kPa were studied using a plasma fluid model implementation. Analysis of the electric field in the streamer body, streamer velocity, diameter, and the effect of the high electronegativity of the gas on streamer parameters are presented for positive polarity in a point-to-plane geometry. The streamers in SF6 for non-uniform background fields are compared to those in air, which have already been studied extensively in the literature. Full article
(This article belongs to the Special Issue Computation of Electromagnetic Fields)
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12 pages, 348 KiB  
Article
On the Tree Gauge in Magnetostatics
by Francesca Rapetti, Ana Alonso Rodríguez and Eduardo De Los Santos
J 2022, 5(1), 52-63; https://doi.org/10.3390/j5010004 - 21 Jan 2022
Viewed by 3035
Abstract
We recall the classical tree-cotree technique in magnetostatics. (1) We extend it in the frame of high-order finite elements in general domains. (2) We focus on its connection with the question of the invertibility of the final algebraic system arising from a high-order [...] Read more.
We recall the classical tree-cotree technique in magnetostatics. (1) We extend it in the frame of high-order finite elements in general domains. (2) We focus on its connection with the question of the invertibility of the final algebraic system arising from a high-order edge finite element discretization of the magnetostatic problem formulated in terms of the magnetic vector potential. With the same purpose of invertibility, we analyse another classically used condition, the Coulomb gauge. (3) We conclude by underlying that the two gauges can be naturally considered in a high order framework without any restriction on the topology of the domain. Full article
(This article belongs to the Special Issue Computation of Electromagnetic Fields)
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16 pages, 448 KiB  
Article
Computational Electromagnetics: A Miscellany
by Igor Tsukerman
J 2021, 4(4), 881-896; https://doi.org/10.3390/j4040060 - 15 Dec 2021
Cited by 1 | Viewed by 2896
Abstract
The paper presents a miscellany of unorthodox and, in some cases, paradoxical or controversial items related to computational and applied electromagnetics. The topics include a definition of the magnetic source field via a line integral, losses in electric power transmission vs. losses in [...] Read more.
The paper presents a miscellany of unorthodox and, in some cases, paradoxical or controversial items related to computational and applied electromagnetics. The topics include a definition of the magnetic source field via a line integral, losses in electric power transmission vs. losses in photonics, homogenization of periodic electromagnetic structures, spurious modes, models of plasmonic media, and more. It is hoped that this assortment of subjects will be of interest to a broad audience of scientists and engineers. Full article
(This article belongs to the Special Issue Computation of Electromagnetic Fields)
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16 pages, 7003 KiB  
Article
Coupling of External Electric Circuits with Computational Domains
by Riccardo Scorretti
J 2021, 4(4), 865-880; https://doi.org/10.3390/j4040059 - 14 Dec 2021
Cited by 2 | Viewed by 2417
Abstract
Coupling of electrical circuits with 2D and 3D computational domains is very important for practical applications. To this aim, the notions of “electrical current” and “voltage” must be defined precisely and linked with local quantities (i.e., fields and potentials) in the computational domain. [...] Read more.
Coupling of electrical circuits with 2D and 3D computational domains is very important for practical applications. To this aim, the notions of “electrical current” and “voltage” must be defined precisely and linked with local quantities (i.e., fields and potentials) in the computational domain. Apart from the static case, the definition of voltage is more complex than it may appear at a first glance, and it is usually tainted by unspoken and/or not justified assumptions. The purpose of this work is twofold: on one hand, to shed light on the definition and on the physical meaning of voltage in the case of time varying quasi-static fields and, on the other hand, to show how to establish coupling equations between lumped parameters circuit model and 2D/3D computational domains. It is demonstrated that a precise physical significance can be given to the voltage in terms of power balance only (the notion of potential is unnecessary). A couple of original operators which allow to express voltages and currents are introduced. Based on a critical analysis of the research literature, it is shown that existing coupling formulas can all be rewritten as particular cases of these two operators. The developed analysis is independent from any computational method and can be used to devise new coupling formulas. Full article
(This article belongs to the Special Issue Computation of Electromagnetic Fields)
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22 pages, 8917 KiB  
Article
Nonlinear Metamaterial Lenses for Inductive Power Transmission Systems Using Duffing-Resonator Based Unit Cells
by Jorge Virgilio de Almeida, Xiaoqiang Gu, Marbey Manhães Mosso, Carlos Antonio França Sartori and Ke Wu
J 2021, 4(4), 727-748; https://doi.org/10.3390/j4040050 - 8 Nov 2021
Cited by 2 | Viewed by 2640
Abstract
Metamaterials (MTMs) based on a periodic array of resonant coils have been shown to behave as μ-negative (MNG), enabling the focusing of magnetic flux. The phenomenon has been deployed by designers to boost the efficiency of many inductively coupled systems, such as magnetic [...] Read more.
Metamaterials (MTMs) based on a periodic array of resonant coils have been shown to behave as μ-negative (MNG), enabling the focusing of magnetic flux. The phenomenon has been deployed by designers to boost the efficiency of many inductively coupled systems, such as magnetic resonance imaging, underwater and underground communications, and charging base stations (CBS) for consumer electronics and implanted devices. However, due to their dependency on high-Q unit cells, linear MNG-like MTMs have limited bandwidth, restricting their use in many applications, notably in near-field simultaneous wireless information and power transmission (NF-SWIPT) systems. To improve the tight constraints of the amplitude-bandwidth trade-off of artificial magnetic lenses, this paper presents a theoretical analysis of nonlinear MTMs based on a lattice of Duffing resonators (DRs). Additionally, it introduces a criterium for the quantification and evaluation of the amplitude-bandwidth enhancement. The analytical results are based on a circuit model and further verified by numerical simulations using commercial software. The preliminary findings in this paper open up possibilities for nonlinear MTM lenses and can be applied to enhance the linear amplitude-bandwidth limit. Full article
(This article belongs to the Special Issue Computation of Electromagnetic Fields)
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27 pages, 16493 KiB  
Article
Time- and Frequency-Domain Steady-State Solutions of Nonlinear Motional Eddy Currents Problems
by Léo A.J. Friedrich
J 2021, 4(1), 22-48; https://doi.org/10.3390/j4010002 - 8 Jan 2021
Viewed by 3268
Abstract
This paper presents a comparison of different time- and frequency-domain solvers for the steady-state simulation of the eddy current phenomena, due to the motion of a permanent magnet array, occurring in the soft-magnetic stator core of electrical machines that exhibits nonlinear material characteristics. [...] Read more.
This paper presents a comparison of different time- and frequency-domain solvers for the steady-state simulation of the eddy current phenomena, due to the motion of a permanent magnet array, occurring in the soft-magnetic stator core of electrical machines that exhibits nonlinear material characteristics. Three different dynamic solvers are implemented in the framework of the isogeometric analysis, namely the traditional time-stepping backward-Euler technique, the space-time Galerkin approach, and the harmonic balance method, which operates in the frequency domain. Two-dimensional electrical machine benchmarks, consisting of both slotless and slotted stator core, are considered to establish the accuracy, convergence, and computational efficiency of the presented solvers. Full article
(This article belongs to the Special Issue Computation of Electromagnetic Fields)
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