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

Authors

  • Marek Zaręba Bialystok University of Technology, Faculty of Electrical Engineering, Department of Electrotechnics, Power Electronics and Electrical Power Engineering, 45D Wiejska Str., 15-351 Białystok, Poland https://orcid.org/0000-0001-9462-8859

DOI:

https://doi.org/10.24425/aee.2025.155956

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.

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Published

2025-12-30

How to Cite

Zaręba, Marek. “Analysis of the Transient Thermal Field in Two Conductors Carrying Sinusoidal Current Using Green’s Function”. Archives of Electrical Engineering , vol. 74, no. 4, Dec. 2025, pp. 795-08, doi:10.24425/aee.2025.155956.

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