Transient magnetic field formulation for solid source conductors

Issue title: Selected papers from the International Symposium on Applied Electromagnetics and Mechanics - ISEM 2019

Guest editors: Jinhao Qiu, Ke Xiong and Hongli Ji

Article type: Research Article

Authors: Wimmer, Georg^a; | Lange, Sebastian^b

Affiliations: [a] Faculty of Applied Natural Sciences and Humanities, University of Applied Sciences Würzburg-Schweinfurt, Schweinfurt, Germany | [b] Bundeswehr Research Institute for Protective Technologies and CBRN Protection, Munster, Germany

Correspondence: [*] Corresponding author: Georg Wimmer, University of Applied Sciences Würzburg-Schweinfurt, Ignaz-Schön-Str. 11, 97421 Schweinfurt, Germany. E-mail: georg.wimmer@fhws.de

Abstract: The formulation for the azimuthal component of the magnetic vector potential for axisymmetric magnetostatic applications is well known. However for transient magnetic fields with solid source conductors and eddy currents the formulation has to be revised. A variable transformation is introduced to remove the singularity from the numerical scheme. The numerical error cannot accumulate and is put instead to the postprocessing at every time step.

Keywords: Transient magnetic, finite element method, numerical error

DOI: 10.3233/JAE-209475

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 64, no. 1-4, pp. 1539-1545, 2020