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

Abstract : 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
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Submitted on : Monday, May 16, 2022 - 12:08:46 PM
Last modification on : Wednesday, May 18, 2022 - 3:30:02 PM

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

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