Maxwell equations can be used to formulate an analytical full time-domain theory of skin effect phenomena in circular cylindrical conductors without any detour into the frequency domain. The paper shows how this can be done and concomitantly provides the means to determine the time-varying per unit length voltage drop along the conductor from a given time-varying conductor current. The developed relationship between voltage and current is not very complicated and led the authors to examine the reasons why it has never been utilized in transient analysis, nor given special emphasis in the literature. Those reasons are thoroughly examined and the conclusion is that the conditions required for the application of a purely time-domain skin effect theory are very restrictive.
Jose Antonio Marinho Brandao Faria,
Malcolm Stuart Raven,
"On the Success of Electromagnetic Analytical Approaches to Full Time-Domain Formulation of Skin Effect Phenomena," Progress In Electromagnetics Research M,
Vol. 31, 29-43, 2013. doi:10.2528/PIERM13042405
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