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

Marek Zaręba


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.
Author Marek Zaręba (FEE / DTEM)
Marek Zaręba,,
- Department of Theoretical Electrotechnics and Metrology
Journal seriesJournal of Electrical Engineering & Technology, ISSN 1975-0102, (N/A 40 pkt)
Issue year2019
Publication size in sheets0.5
Keywords in EnglishAnalytical methods of the field theory Rectangular busbar Steady-state current rating
ASJC Classification2208 Electrical and Electronic Engineering
Internal identifier000045489
Languageen angielski
Score (nominal)40
Score sourcejournalList
ScoreMinisterial score = 40.0, 13-03-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.512; WoS Impact Factor: 2018 = 0.715 (2) - 2018=0.715 (5)
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