%0 Journal Article
%T Application of Duhamel's theorem in the thermal field analysis of a DC cable with two layers of insulation
%A J. Go  biowski
%A M. Zar ba
%J Bulletin of the Polish Academy of Sciences: Technical Sciences
%D 2009
%I 
%R 10.2478/v10175-010-0109-0
%X 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 modelled 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.
%K analytical-numerical methods of the field theory
%K transient heat flow
%K current transmission
%U http://versita.metapress.com/content/t60750511u78183j/?p=1df638bcdaeb40f49cc4cde94c6c513b&pi=8