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Exactly solvable high frequency model of a coil of finite length
KTH, School of Electrical Engineering (EES).
2013 (English)In: Progress In Electromagnetics Research Symposium Proceedings, Stockholm, Sweden, Aug. 12-15, 2013, Electromagnetics Academy , 2013, 951-955 p.Conference paper (Refereed)
Abstract [en]

A simple high-frequency model of a homogeneous coil is proposed and analyzed. The model describes a transmission line, supplemented by homogeneously distributed stray capacitances connecting subsequent sections of the line ("series capacitance"), as well as mutual inductances between different sections. It has been argued repeatedly in the literature that adding series capacitance to a transmission line model (as a means to describe a transformer winding) should lead to a finite upper limit frequency for propagating modes. At frequencies above that limit, the winding should instead behave essentially as a capacitance network. Using our model, we show that this effect is suppressed (i.e., the limit frequency is shifted to infinity) by the presence of mutual inductance of essentially any kind. Furthermore, we show that the model can be solved analytically for a coil of finite length, with a much more general form of mutual inductances than commonly believed so far, and therefore is an ideal tool for the detailed study of coil-end effects.

Place, publisher, year, edition, pages
Electromagnetics Academy , 2013. 951-955 p.
, Progress in Electromagnetics Research Symposium, ISSN 1559-9450
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-133160ScopusID: 2-s2.0-84884779527ISBN: 978-193414226-4OAI: diva2:660283
Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm; Stockholm; Sweden; 12 August 2013 through 15 August 2013

QC 20131029

Available from: 2013-10-29 Created: 2013-10-28 Last updated: 2013-12-04Bibliographically approved

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