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Electromagnetic dispersion modeling and measurements for HVDC power cables
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
2011 (English)Report (Other academic)
Abstract [en]

This paper provides a general framework for electromagnetic modeling, computation and measurements regardingthe wave propagation characteristics of High-Voltage Direct Current (HVDC) power cables.The modeling is focused on very long (10 km or more) HVDC power cables andthe relevant frequency range is therefore in the low-frequency regime of about 0-100 kHz.An exact dispersion relation is formulated together with a discussion on practical aspectsregarding the computation of the propagation constant and the related characteristic impedance.Experimental time-domain measurement data from an 80 km long HVDC power cable is used to validate the model.It is concluded that a single-mode transmission line model is not adequate to account for the mismatch between the power cableand the instrumentation.A mismatch calibration procedure is therefore devised to account for the connection between the measurement equipmentand the cable. A dispersion model is thus obtained that is accurate for early times of pulse arrival.To highlight the potential of accurate electromagnetic modeling, an example of high-resolution length-estimation is discussedand analyzed using statistical methods based on the Cram\'{e}r-Rao lower bound.The analysis reveals that the estimation accuracy based on the present model (and its related model error)is in the order of 100 m for an 80 km long power cable, and that the potential accuracy using a ``perfect'' model based on the givenmeasurement data is in the order of centimeters.

Place, publisher, year, edition, pages
2011. , 40 p.
National Category
Engineering and Technology
Research subject
Physics, Electrotechnology
URN: urn:nbn:se:lnu:diva-14989OAI: diva2:448522
Available from: 2011-10-18 Created: 2011-10-17 Last updated: 2014-08-19Bibliographically approved
In thesis
1. Electromagnetic dispersion modeling and analysis for HVDC power cables
Open this publication in new window or tab >>Electromagnetic dispersion modeling and analysis for HVDC power cables
2012 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Derivation of an electromagnetic model, regarding the wave propagation in a very long (10 km or more) High Voltage Direct Current (HVDC) power cable, is the central part of this thesis. With an existing “perfect” electromagnetic model there are potentially a wide range of applications.The electromagnetic model is focused on frequencies between 0 and 100 kHz since higher frequencies essentially will be attenuated. An exact dispersion relation is formulated and the propagation constant is computed numerically. The dominating mode is the first Transversal Magnetic (TM) mode of order zero, denoted TM01, which is also referred to as the quasi-TEM mode. A comparison is made with the second propagating TM mode of order zero denoted TM02. The electromagnetic model is verified against real time data from Time Domain Reflection (TDR) measurements on a HVDC power cable. A mismatch calibration procedure is performed due to matching difficulties between the TDR measurement equipment and the power cable regarding the single-mode transmission line model.An example of power cable length measurements is addressed, which reveals that with a “perfect” model the length of an 80 km long power cable could be estimated to an accuracy of a few centimeters. With the present model the accuracy can be estimated to approximately 100 m.In order to understand the low-frequency wave propagation characteristics, an exact asymptotic analysis is performed. It is shown that the behavior of the propagation constant is governed by a square root of the complex frequency in the lowfrequency domain. This thesis also focuses on an analysis regarding the sensitivity of the propagation constant with respect to some of the electric parameters in the model. Variables of interest when performing the parameter sensitivity study are the real relative permittivityand the conductivity.

Place, publisher, year, edition, pages
Växjö: , 2012. 10 p.
HVDC power cables, electromagnetic model, TDR measurement, sensitivity analysis, dispersion relation, propagation constant, low-frequency asymptotics
National Category
Other Physics Topics
urn:nbn:se:lnu:diva-32525 (URN)
2012-12-11, D1136, Växjö, 13:15 (English)
Available from: 2014-08-19 Created: 2014-02-27 Last updated: 2014-08-19Bibliographically approved

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