Determination of Flux Tube Portions by Adjunction of Electric or Magnetic Multivalued Equipotential Lines

Guillaume Parent (1) , Stephane Duchesne (1) , Patrick Dular (2)

1 LSEE - Laboratoire Systèmes Electrotechniques et Environnement
2 ACE - Applied and Computational Electromagnetics [Liège]

In 2-D electrostatic and magnetostatic finite-element problems, portions of flux tubes are defined by field lines together with their orthogonal lines. These two sets of lines can be obtained as the isovalue lines of scalar and vector potentials. One set is related to a multivalued potential that, when made single-valued via the definition of cuts, undergoes discontinuities, resulting in lines interruptions at the cuts. A method is proposed for obtaining continuous isovalue lines for the multivalued potentials. This then helps in locating selected portions of flux tubes and quantifying their equivalent properties, that is, capacitances or reluctances, to be used as is or in equivalent circuits

Domaines: Electromagnétisme

Guillaume Parent, Stephane Duchesne, Patrick Dular. Determination of Flux Tube Portions by Adjunction of Electric or Magnetic Multivalued Equipotential Lines. IEEE Transactions on Magnetics, 2017, 53 (6), pp.7401704. ⟨10.1109/TMAG.2017.2661401⟩. ⟨hal-03350742⟩