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Formulations and Finite Element Discretization for Solving 2D Eddy Current Problems.

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Title: Formulations and Finite Element Discretization for Solving 2D Eddy Current Problems.
Authors: Wimmer, Georg1 (AUTHOR) georgwimmer@sztu.edu.cn, Lin, Liyu1 (AUTHOR), Wang, Zhizhong2 (AUTHOR), Han, Peigang1 (AUTHOR)
Source: International Journal of Applied Electromagnetics & Mechanics. Apr2025, Vol. 77 Issue 4, p299-310. 12p.
Subjects: Plane geometry, Skin effect, Electric motors, Physical constants, Matrix functions
Abstract: Planar steady state skin effect problems in current driven solid conductors and solid windings with several coils are studied for axisymmetric and plane geometries. The formulations involve a field equation and a current constraint equation for each solid conductor. The proposed formulations include eddy currents, source currents and displacement currents. The finite element discretization is shown to rely on the same basis functions and assembly matrices for the planar and axisymmetric case and any degree of interpolatory basis functions can be used. This results in a very efficient implementation. The formulation also can be used to model passive conductors where induced eddy currents reveil the proximity effect. Furthermore complex problems as electric motors with several windings, solid or stranded, can be handled. All physical quantities can be derived from a complex scalar magnetic vector potential. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Applied Electromagnetics & Mechanics is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: Formulations and Finite Element Discretization for Solving 2D Eddy Current Problems.
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  Data: <searchLink fieldCode="AR" term="%22Wimmer%2C+Georg%22">Wimmer, Georg</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> georgwimmer@sztu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Lin%2C+Liyu%22">Lin, Liyu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Zhizhong%22">Wang, Zhizhong</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Han%2C+Peigang%22">Han, Peigang</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Applied+Electromagnetics+%26+Mechanics%22">International Journal of Applied Electromagnetics & Mechanics</searchLink>. Apr2025, Vol. 77 Issue 4, p299-310. 12p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Plane+geometry%22">Plane geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Skin+effect%22">Skin effect</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+motors%22">Electric motors</searchLink><br /><searchLink fieldCode="DE" term="%22Physical+constants%22">Physical constants</searchLink><br /><searchLink fieldCode="DE" term="%22Matrix+functions%22">Matrix functions</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Planar steady state skin effect problems in current driven solid conductors and solid windings with several coils are studied for axisymmetric and plane geometries. The formulations involve a field equation and a current constraint equation for each solid conductor. The proposed formulations include eddy currents, source currents and displacement currents. The finite element discretization is shown to rely on the same basis functions and assembly matrices for the planar and axisymmetric case and any degree of interpolatory basis functions can be used. This results in a very efficient implementation. The formulation also can be used to model passive conductors where induced eddy currents reveil the proximity effect. Furthermore complex problems as electric motors with several windings, solid or stranded, can be handled. All physical quantities can be derived from a complex scalar magnetic vector potential. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Applied Electromagnetics & Mechanics is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1177/13835416251320231
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        Text: English
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        PageCount: 12
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        Type: general
      – SubjectFull: Skin effect
        Type: general
      – SubjectFull: Electric motors
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      – SubjectFull: Physical constants
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      – SubjectFull: Matrix functions
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      – TitleFull: Formulations and Finite Element Discretization for Solving 2D Eddy Current Problems.
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            NameFull: Wang, Zhizhong
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            – D: 01
              M: 04
              Text: Apr2025
              Type: published
              Y: 2025
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            – TitleFull: International Journal of Applied Electromagnetics & Mechanics
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