3D harmonic modeling of eddy currents in segmented conducting structures.

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Title: 3D harmonic modeling of eddy currents in segmented conducting structures.
Authors: Custers, C. H. H. M.1 c.h.h.m.custers@tue.nl, Jansen, J. W.1 j.w.jansen@tue.nl, van Beurden, M. C.1 m.c.v.beurden@tue.nl, Lomonova, E. A.1 e.lomonova@tue.nl
Source: COMPEL. 2019, Vol. 38 Issue 1, p2-23. 22p.
Subjects: Eddy currents (Electric), Electromagnetism, Fourier series, Finite element method, Current distribution
Abstract: Purpose The purpose of this paper is to describe a semi-analytical modeling technique to predict eddy currents in three-dimensional (3D) conducting structures with finite dimensions. Using the developed method, power losses and parasitic forces that result from eddy current distributions can be computed.Design/methodology/approach In conducting regions, the Fourier-based solutions are developed to include a spatially dependent conductivity in the expressions of electromagnetic quantities. To validate the method, it is applied to an electromagnetic configuration and the results are compared to finite element results.Findings The method shows good agreement with the finite element method for a large range of frequencies. The convergence of the presented model is analyzed.Research limitations/implications Because of the Fourier series basis of the solution, the results depend on the considered number of harmonics. When conducting structures are small with respect to the spatial period, the number of harmonics has to be relatively large.Practical implications Because of the general form of the solutions, the technique can be applied to a wide range of electromagnetic configurations to predict, e.g. eddy current losses in magnets or wireless energy transfer systems. By adaptation of the conductivity function in conducting regions, eddy current distributions in structures containing holes or slit patterns can be obtained.Originality/value With the presented technique, eddy currents in conducting structures of finite dimensions can be modeled. The semi-analytical model is for a relatively low number of harmonics computationally faster than 3D finite element methods. The method has been validated and shown to be computationally accurate. [ABSTRACT FROM AUTHOR]
Copyright of COMPEL is the property of Emerald Publishing Limited 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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DbLabel: Engineering Source
An: 134285526
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  Data: 3D harmonic modeling of eddy currents in segmented conducting structures.
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  Data: <searchLink fieldCode="AR" term="%22Custers%2C+C%2E+H%2E+H%2E+M%2E%22">Custers, C. H. H. M.</searchLink><relatesTo>1</relatesTo><i> c.h.h.m.custers@tue.nl</i><br /><searchLink fieldCode="AR" term="%22Jansen%2C+J%2E+W%2E%22">Jansen, J. W.</searchLink><relatesTo>1</relatesTo><i> j.w.jansen@tue.nl</i><br /><searchLink fieldCode="AR" term="%22van+Beurden%2C+M%2E+C%2E%22">van Beurden, M. C.</searchLink><relatesTo>1</relatesTo><i> m.c.v.beurden@tue.nl</i><br /><searchLink fieldCode="AR" term="%22Lomonova%2C+E%2E+A%2E%22">Lomonova, E. A.</searchLink><relatesTo>1</relatesTo><i> e.lomonova@tue.nl</i>
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  Data: <searchLink fieldCode="JN" term="%22COMPEL%22">COMPEL</searchLink>. 2019, Vol. 38 Issue 1, p2-23. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Eddy+currents+%28Electric%29%22">Eddy currents (Electric)</searchLink><br /><searchLink fieldCode="DE" term="%22Electromagnetism%22">Electromagnetism</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+series%22">Fourier series</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Current+distribution%22">Current distribution</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Purpose The purpose of this paper is to describe a semi-analytical modeling technique to predict eddy currents in three-dimensional (3D) conducting structures with finite dimensions. Using the developed method, power losses and parasitic forces that result from eddy current distributions can be computed.Design/methodology/approach In conducting regions, the Fourier-based solutions are developed to include a spatially dependent conductivity in the expressions of electromagnetic quantities. To validate the method, it is applied to an electromagnetic configuration and the results are compared to finite element results.Findings The method shows good agreement with the finite element method for a large range of frequencies. The convergence of the presented model is analyzed.Research limitations/implications Because of the Fourier series basis of the solution, the results depend on the considered number of harmonics. When conducting structures are small with respect to the spatial period, the number of harmonics has to be relatively large.Practical implications Because of the general form of the solutions, the technique can be applied to a wide range of electromagnetic configurations to predict, e.g. eddy current losses in magnets or wireless energy transfer systems. By adaptation of the conductivity function in conducting regions, eddy current distributions in structures containing holes or slit patterns can be obtained.Originality/value With the presented technique, eddy currents in conducting structures of finite dimensions can be modeled. The semi-analytical model is for a relatively low number of harmonics computationally faster than 3D finite element methods. The method has been validated and shown to be computationally accurate. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of COMPEL is the property of Emerald Publishing Limited 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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RecordInfo BibRecord:
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        Value: 10.1108/COMPEL-02-2018-0070
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      – Code: eng
        Text: English
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      – SubjectFull: Eddy currents (Electric)
        Type: general
      – SubjectFull: Electromagnetism
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      – SubjectFull: Fourier series
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      – SubjectFull: Finite element method
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      – SubjectFull: Current distribution
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      – TitleFull: 3D harmonic modeling of eddy currents in segmented conducting structures.
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              Text: 2019
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