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Tytuł artykułu

Application of Duhamel's theorem in the thermal field analysis of a DC cable with two layers of insulation

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the paper we presented an asymptotic method of determination of the transient thermal field in a three-zone cable (i.e. in a core and in two layers of insulation). A basis of our method was decomposition of the system. We considered separately the region of the core, which we modeled by a concentrated element of the first order. In turn, we treated the two-zone region of insulation as the system of distributed parameters. In the analysis we applied Duhamel's theorem and the method of separation of variables. Eigenvalues of the boundary-initial problem and coefficients of eigenfunctions we determined numerically. In the result we obtained spatial-temporal heat-up curves of the investigated cable. Our results we presented in a graphic form.
Rocznik
Strony
87--94
Opis fizyczny
Bibliogr. 21 poz., rys.
Twórcy
autor
  • Division for Theoretical Electrotechnics, Technical University of Bialystok, 45D Wiejska St., 15-351 Białystok, Poland, zmarek@pb.edu.pl
Bibliografia
  • [1] HVDC and HVDC Light, http://www.abb.comlhvdc.
  • [2] H.R. Rengel, "Energy cables 2050 - a futuristic view", IEEE Power Engineering Review 20 (10), 18-21 (2000).
  • [3] T.J. Hammons, "Power cables in the twenty-first century", Electric Power Components and Systems 31 (10), 967-994 (2003).
  • [4] M. Zaręba and J. Gołębiowski, "Asymptotic analysis of transient thermal field in a DC cable covered with insulation", Archives of Electrical Engineering LV (3-4), 325-336 (2006).
  • [5] J.V. Beck, K.D. Cole, A. Haji-Sheikh, and B. Litkouhi, Heat Conduction Using Green's Functions, Hemisphere Publishing Corporation, London-Philadelphia, 1992.
  • [6] J. Taler and P. Duda, Solving of Direct and Reserve Problem of Heat Conduction, Wydawnictwa Naukowo-Techniczne, Warsaw, 2003, (in Polish).
  • [7] G. Lehner, Feldtheorie fur Ingenieure und Physiker, Springer Verlag, Berlin-New York, 1996.
  • [8] L.C. Evans, Partial Differential Equations, Wydawnictwa Naukowe PWN, Warsaw, 2002, (in Polish).
  • [9] S. Bolkowski, Circuits Theory, Wydawnictwa Naukowo Techniczne, Warsaw, 2008, (in Polish).
  • [10] J. Gołębiowski and M. Zaręba, "A method of the analysis of the thermal field dynamics in the core and insulation of a DC lead with convectional heat abstraction", Electrical Engineering Archiv fur Elektrotechnik 88 (5), 453-464 (2006), available http://dx.doLorg/l0.1007/s00202-005-0297-z.
  • [11] E. Kącki, Partial Differential Equations in Physics and Technical Problems, Wydawnictwa Naukowo-Techniczne, Warsaw, 1992, (in Polish).
  • [12] J. Gołębiowski and S. Kwiećkowski, "Dynamics of three dimensional temperature field in electrical system of floor heating", Int. J. Heat and Mass Transfer 45 (12), 2611-2622 (2002).
  • [13] B. Mochancki and E. Majchrzak, "Identification of macro and micro parameters in solidification model", Bull. Pol. Ac.: Tech. 55 (1), 107-113 (2007).
  • [14] M. Hering, Thermokinetics for Electrical Engineers, Wydawnictwa Naukowo-Techniczne, Warsaw, 1980, (in Polish).
  • [15] Z. Lindemann, K. Skalski, W. Wlosinski, and J. Zimmerman, "Thermo-mechanical phenomena in the process of friction welding of corundum ceramics and aluminium", Bull. Pol. Ac.: Tech. 54 (1), 1-8 (2006).
  • [16] I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, Academic Press, New York, 1996.
  • [17] A. Erdelyi, W. Magnus, E Oberhettinger, and EG. Tricomi, Higher Transcendental Functions, vol. 1, Krieger, New York, 1981.
  • [18] Z. Fortuna, B. Macukow, and J. Wąsowski, Numerical Methods, Wydawnictwa Naukowo-Techniczne, Warsaw, 1999, (In Polish).
  • [19] R. Grzymkowski, A. Kapusta, T. Kuboszek, and D. Słota, Mathematica 6, Jacek Skalmierski's Publishing House of Com. puter Study, Gliwice, 2008, (in Polish).
  • [20] K.J. Bathe, Finite-Elemente Methoden, Springer-Verlag, Berlin, 1990.
  • [21] User's Manual for NISA Ill, Numerically Integrated Elements for Systems Analysis, Engineering Mechanics Research Corporation, Troy-Michigan, 1996.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG5-0038-0027
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