Analysis of the transient thermal field in two conductors carrying sinusoidal current using Green's function.

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Title: Analysis of the transient thermal field in two conductors carrying sinusoidal current using Green's function.
Authors: ZARĘBA, MAREK1 m.zareba@pb.edu.pl
Source: Archives of Electrical Engineering. 2025, Vol. 74 Issue 4, p795-808. 14p.
Subjects: Green's functions, Skin effect, Finite element method, Electrical conductors, Alternating currents, Heat engineering
Abstract: This paper analyzes the transient thermal field in a system of two parallel conductors. The skin and proximity effects are taken into account. An analytical method based on Green's function is developed to determine the field distributions. The Green's function was determined analytically, and due to the complex forms of the expressions describing the current densities, the integrals resulting from the Green's identity were calculated numerically. In addition, important parameters determining the dynamics of the conductors were also calculated: heating curves and thermal time constants. The influence of selected material parameters on the corresponding thermal field distributions is examined. The calculation results are positively verified using the finite element method. [ABSTRACT FROM AUTHOR]
Copyright of Archives of Electrical Engineering is the property of Polish Academy of Sciences 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.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 193842337
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Analysis of the transient thermal field in two conductors carrying sinusoidal current using Green's function.
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  Data: <searchLink fieldCode="AR" term="%22ZARĘBA%2C+MAREK%22">ZARĘBA, MAREK</searchLink><relatesTo>1</relatesTo><i> m.zareba@pb.edu.pl</i>
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  Data: <searchLink fieldCode="JN" term="%22Archives+of+Electrical+Engineering%22">Archives of Electrical Engineering</searchLink>. 2025, Vol. 74 Issue 4, p795-808. 14p.
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  Data: <searchLink fieldCode="DE" term="%22Green's+functions%22">Green's functions</searchLink><br /><searchLink fieldCode="DE" term="%22Skin+effect%22">Skin effect</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Electrical+conductors%22">Electrical conductors</searchLink><br /><searchLink fieldCode="DE" term="%22Alternating+currents%22">Alternating currents</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+engineering%22">Heat engineering</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper analyzes the transient thermal field in a system of two parallel conductors. The skin and proximity effects are taken into account. An analytical method based on Green's function is developed to determine the field distributions. The Green's function was determined analytically, and due to the complex forms of the expressions describing the current densities, the integrals resulting from the Green's identity were calculated numerically. In addition, important parameters determining the dynamics of the conductors were also calculated: heating curves and thermal time constants. The influence of selected material parameters on the corresponding thermal field distributions is examined. The calculation results are positively verified using the finite element method. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Archives of Electrical Engineering is the property of Polish Academy of Sciences 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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    Identifiers:
      – Type: doi
        Value: 10.24425/aee.2025.155956
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 14
        StartPage: 795
    Subjects:
      – SubjectFull: Green's functions
        Type: general
      – SubjectFull: Skin effect
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Electrical conductors
        Type: general
      – SubjectFull: Alternating currents
        Type: general
      – SubjectFull: Heat engineering
        Type: general
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      – TitleFull: Analysis of the transient thermal field in two conductors carrying sinusoidal current using Green's function.
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            – D: 01
              M: 10
              Text: 2025
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              Y: 2025
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            – TitleFull: Archives of Electrical Engineering
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