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Application of Duhamel’s Theorem in the Analysis of the Thermal Field of a Rectangular Busbar

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Abstract

The paper presents the method of thermal field analysis in a rectangular busbar taking into account the variable resistivity. The method is based on the analytical solution of the heat conduction equation. The boundary-initial problem was solved using the Duhamel’s theorem. The suitable step response of the system was determined by the separation of variables method. By means of presented method, a stationary and transient thermal field was determined in the rectangular busbar taking into account variable resistivity. The steady-state currents rating as well as the time constants of the busbar in case of variable and average resistivity were also determined. The results obtained was verified using the finite element method.

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Acknowledgements

The paper was prepared at the in Bialystok University of Technology within the framework of the project S/WE/2/18 sponsored by the Ministry of Science and Higher Education.

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  1. Department of Electrical Engineering, Technology University of Bialystok, Bialystok, Poland

    Marek Zaręba

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  1. Marek Zaręba
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Correspondence to Marek Zaręba.

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Zaręba, M. Application of Duhamel’s Theorem in the Analysis of the Thermal Field of a Rectangular Busbar. J. Electr. Eng. Technol. 14, 47–53 (2019). https://doi.org/10.1007/s42835-018-00045-1

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  • DOI: https://doi.org/10.1007/s42835-018-00045-1

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