Open Access
Original Paper

Electrical Engineering

, Volume 93, Issue 4, pp 209-216

The simplified method for transient thermal field analysis in a polymeric DC cable

Authors

  • Jerzy Gołębiowski
    • Faculty of Electrical EngineeringTechnical University of Białystok
  • Marek Zaręba
    • Faculty of Electrical EngineeringTechnical University of Białystok

DOI: 10.1007/s00202-011-0207-5

Abstract

The simplified method of analysis of the thermal field in the futuristic model of a DC cable is presented. The thermal conductivity of a non-conducting layer is very small comparing with the same parameter of conducting regions. The above causes very fast heat propagation in the core and coating, which in the consequences are approximated by inert elements of the first order. Spatial changes in the field in insulation cannot be neglected, because of the significantly slow heat transfer. For that reason, insulation is treated as an element of distributed parameters. The boundary-initial parabolic problem of a non-conducting region is solved by means of Duhamel’s theorem. The fundamental solutions of superposition integrals are determined by the separation of variables method. The maximal deviation of results obtained by the finite element method does not exceed 7.2%. The heating curves and results of verification are presented in a graphic form.

Keywords

Transient heat transfer in DC cables Current transmission Asymptotic and analytical methods Duhamel’s integral

Acknowledgments

The paper was prepared at Bialystok Technical University within a framework of the S/WE/3/08 project sponsored by the Ministry of Science and Higher Education, Poland.

Open Access

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

Copyright information

© The Author(s) 2011