Application of Duhamel’s Theorem in the Analysis of the Thermal Field of a Rectangular Busbar
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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.
KeywordsAnalytical methods of the field theory Rectangular busbar Steady-state current rating
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.
- 9.Barletta A, Zanchini E (1994) Time averaged temperature distribution in a cylindrical resistor with alternating current. Heat Mass Transf 29:285–290Google Scholar
- 14.Anders GJ (1997) Rating of electric power cables: ampacity computations for transmission, distribution, and industrial applications. McGraw-Hill Professional, New YorkGoogle Scholar
- 15.Incropera FP, Dewitt DP, Bergman TL, Lavine AS (2007) Introduction to heat transfer. Wiley, New YorkGoogle Scholar
- 19.Wolfram Research Inc (2018) Mathematica. Wolfram Research Inc., ChampaignGoogle Scholar