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Dispersion modeling and analysis for multilayered open coaxial waveguides
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.ORCID iD: 0000-0002-7018-6248
Gebze Institute of Technology, Turkey.
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.
Linnaeus University, Faculty of Technology, Department of Mathematics.
2015 (English)In: IEEE transactions on microwave theory and techniques, ISSN 0018-9480, E-ISSN 1557-9670, Vol. 63, no 6, 1791-1799 p.Article in journal (Refereed) Published
Abstract [en]

This paper presents a detailed modeling and analysis regarding the dispersion characteristics ofmultilayered open coaxial waveguides or cables. The electromagnetic model is based on a layer recursive computation of axial-symmetric fields in connection with a magnetic frill generator excitation that can be calibrated to the current measured at the input of the cable. The layer recursive formulation enables a stable and efficient numerical computation of the related dispersion functions, as well as a detailed analysis regarding the analytic and asymptotic properties of the associated determinants. Modal contributions as well as the contribution from the associated branch-cut (nondiscrete radiating modes) are defined and analyzed. Measurements and modeling of pulse propagation on an 82-km-long HVDC power cable are presented as a concrete example. In this example, it is concluded that the contribution from the dominating axial-symmetric transverse magnetic mode is sufficient, and that the contribution from the branch-cut is negligible for all practical purposes, and in particular if the exterior domain is lossy. The main contribution of this paper is to provide the necessary modeling and analysistools for a quantitative study of these phenomena.

Place, publisher, year, edition, pages
2015. Vol. 63, no 6, 1791-1799 p.
National Category
Physical Sciences Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Technology (byts ev till Engineering)
Identifiers
URN: urn:nbn:se:lnu:diva-40649DOI: 10.1109/TMTT.2015.2420555ISI: 000355930300002OAI: oai:DiVA.org:lnu-40649DiVA: diva2:793534
Available from: 2015-03-07 Created: 2015-03-07 Last updated: 2017-01-10Bibliographically approved
In thesis
1. Electromagnetic Dispersion Modeling and Analysis for Power Cables
Open this publication in new window or tab >>Electromagnetic Dispersion Modeling and Analysis for Power Cables
2014 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis addresses electromagnetic wave propagation in power cables. It consists of five papers, where the three first papers are based on one and the same model, and the last two papers are based on a similar but slightly different model. The first model considers electromagnetic modeling in connection with basic transmission line theory with a mismatch calibration of the scattering parameters, while the second model is based on a magnetic frill generator with calibration on the input current.

The two models describe the dispersion characteristics of an 82 km long High Voltage Direct Current (HVDC) power cable, and the results are validated with Time Domain Reflectometry (TDR) measurements. In both models the relevant bandwidth is 100 kHz, with the result that the fields inside the metallic layers must be calculated due to a large skin-depth. The present study is concerned with Transversal Magnetic (TM) modes of order zero. Higher order TM modes, including the Transversal Electric (TE) modes, will essentially be cut-off in this low-frequency regime.

An asymptotic analysis regarding the low-frequency dispersion characteristics is provided in Paper I. Comparing the result with a numerical solution shows that the low-frequency characteristics of the power cable is complicated, and an asymptotic solution is only valid at frequencies below 1 Hz.

Paper II presents a sensitivity analysis of the propagation constant. It is concluded that some of the electrical parameters of the metallic layers, and of the insulating layer, have a large impact on the model, while other parameters do not perturb the model in any substantial way.

In Paper III a general framework for the electromagnetic modeling is provided. The paper addresses sensitivity analysis, computation, and measurements regarding wave propagation characteristics in power cables.

The asymptotic behavior of the non-discrete radiating mode, the branch-cut, is presented in Paper IV. The result is compared with the first and second propagating Transversal Magnetic (TM) mode.

Finally, Paper V addresses the numerical problems associated with large arguments in the Bessel functions, which are due to the large conductivity parameters of the metallic layers. The introduction of a perfect electric conductor (PEC) and a short illustration of an inverse problem are also discussed in the paper. At the end an analysis is presented regarding uncertainties in the model parameters, which shows that temperature is an important parameter to consider.

 

Place, publisher, year, edition, pages
Växjö: Linnaeus University Press, 2014
Series
Linnaeus University Dissertations, 182/2014
Keyword
power cable, electromagnetic model, dispersion relation, asymptotic analysis, sensitivity analysis
National Category
Physical Sciences
Identifiers
urn:nbn:se:lnu:diva-40651 (URN)978-91-87925-07-8 (ISBN)
Public defence
2014-10-23, D1136, Växjö, 10:00 (English)
Opponent
Supervisors
Available from: 2015-04-28 Created: 2015-03-07 Last updated: 2015-04-28Bibliographically approved

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