A Two-Step Darwin Model Time-Domain Formulation for Quasi-Static Electromagnetic Field Calculations

被引：6

作者：

Clemens, M. ^{[1
,2
]}

Kasolis, F. ^{[1
,2
]}

Henkel, M-L ^{[1
,2
]}

Kaehne, B. ^{[1
,2
]}

Guenther, M. ^{[1
,3
]}

机构：

[1] Univ Wuppertal, Inst Math Modelling Anal & Computat Math IMACM, D-42119 Wuppertal, Germany

[2] Univ Wuppertal, Chair Electromagnet Theory, D-42119 Wuppertal, Germany

[3] Univ Wuppertal, Chair Numer Anal & Appl Math, D-42119 Wuppertal, Germany

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2021年 / 57卷 / 06期

关键词：

Computational electromagnetics; electromagnetic fields; numerical simulation; time-domain analysis; REGULARIZATION; EQUATIONS;

D O I：

10.1109/TMAG.2021.3057828

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In the absence of wave propagation, transient electromagnetic fields are governed by a composite scalar/vector potential formulation for the quasi-static Darwin field model. Darwin-type field models are capable of capturing inductive, resistive, and capacitive effects. To avoid possibly non-symmetric and ill-conditioned fully discrete monolithic formulations, here, a Darwin field model is presented, which results in a two-step algorithm, where the discrete representations of the electric scalar potential and the magnetic vector potential are computed consecutively. Numerical simulations show the validity of the presented approach.

引用

页数：4

共 18 条

[1] Subdomain Perturbation Finite-Element Method for Quasi-static Darwin Approximation
Badics, Zsolt
Pavo, Jozsef
Bilicz, Sandor
Gyimothy, Szabolcs
[J]. IEEE TRANSACTIONS ON MAGNETICS, 2020, 56 (01)
[2] Stiff problems in eddy-current theory and the regularization of Maxwell's equations
Bossavit, A
[J]. IEEE TRANSACTIONS ON MAGNETICS, 2001, 37 (05) : 3542 - 3545
[3] Large systems of equations in a discrete electromagnetism: formulations and numerical algorithms
Clemens, M
[J]. IEE PROCEEDINGS-SCIENCE MEASUREMENT AND TECHNOLOGY, 2005, 152 (02) : 50 - 72
[4] Decomposition and regularization of nonlinear anisotropic curl-curl DAEs
Clemens, Markus
Schoeps, Sebastian
De Gersem, Herbert
Bartel, Andreas
[J]. COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2011, 30 (06) : 1701 - 1714
[5] Clements MP, 2019, PALGR TEXTS ECONOMET, P1, DOI 10.1007/978-3-319-97223-7
[6] Cortes Garcia I., 2019, Applications of Differential-Algebraic Equations: Examples and Benchmarks, Differential-Algebraic Equations Forum, P123, DOI 10.1007/11221_2018_8
[7] The dynamical motions of charged particles
Darwin, CG
[J]. PHILOSOPHICAL MAGAZINE, 1920, 39 (233): : 537 - 551
[8] Frequency domain vs. time domain finite element methods for calculation of fields in multimode cavities
Dibben, DC
Metaxas, R
[J]. IEEE TRANSACTIONS ON MAGNETICS, 1997, 33 (02) : 1468 - 1471
[9] Haus HA., 1989, ELECTROMAGNETIC FIEL
[10] Kaimori H., 2020, PROC IEEE CEFC C, P497

← 1 2 →