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Cylindrical multipole expansion for periodic sources with applications for three-phase power cables
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.ORCID iD: 0000-0002-7018-6248
Lund University.
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.
Linnaeus University, Faculty of Technology, Department of Mathematics.
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2016 (English)In: Mathematical methods in the applied sciences, ISSN 0170-4214, E-ISSN 1099-1476Article in journal (Refereed) Epub ahead of print
Abstract [en]

This paper presents a c ylindrical multipole expansion for periodic sources with applications for three-phase power cables.It is the aim of the contribution to provide some analytical solutions and techniques that can be useful in the calculation ofcable losses. Explicit analytical results are given for the fields generated by a three-phase helical current distribution andwhich can be computed efficiently as an input to other numerical methods such as, for example , the Method of Moments.It is shown that the field computations are numerically stable at low frequencies (such as 50 Hz) as well as in the quasi-magnetostatic limit provided that sources are divergence-free. The cylindrical multipole expansion is fur thermore usedto derive an efficient analytical model of a measurement coil to measure and estimate the complex valued permeability ofmagnetic steel armour in the presence of a strong skin-effect.

Place, publisher, year, edition, pages
2016.
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering Signal Processing
Research subject
Physics, Waves and Signals
Identifiers
URN: urn:nbn:se:lnu:diva-59497DOI: 10.1002/mma.3992OAI: oai:DiVA.org:lnu-59497DiVA: diva2:1059824
Available from: 2016-12-23 Created: 2016-12-23 Last updated: 2017-09-14
In thesis
1. Estimation of electromagnetic material properties with application to high-voltage power cables
Open this publication in new window or tab >>Estimation of electromagnetic material properties with application to high-voltage power cables
2017 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Efficient design of high-voltage power cables is important to achieve an economical delivery of electric power from wind farms and power plants over the very long distances as well as the overseas electric power. The main focus of this thesis is the investigation of electromagnetic losses in components of high-voltage power cables. The objective of the ongoing research is to develop the theory and optimization techniques as tools to make material choices and geometry designs to minimize the high-frequency attenuation and dispersion for HVDC power cables and the power losses associated with HVAC cables. Physical limitations, dispersion relationships and the application of sum rules as well as convex optimization will be investigated to obtain adequate physical insight and a priori modeling information for these problems.

For HVAC power cables, the objectives are addressed by performing measurements and estimation of complex valued permeability of cable armour steel in Papers I and II. Efficient analytical solutions for the electromagnetic field generated by helical structures with applications for HVAC power cables have been obtained in Paper III.

For HVDC power cables, estimation of insulation characteristics from dielectric spectroscopy data using Herglotz functions, convex optimization and B-splines, has been investigated in Papers V and VI. The unique solution requirements in waveguide problems have been reviewed in Paper IV.

Place, publisher, year, edition, pages
Linnaeus University Press, 2017. 19 p.
Series
Lnu Licentiate, 2
Keyword
Material losses, power cables, cylindrical multipole expansion, Herglotz functions, convex optimization, sum rules
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Physics, Waves and Signals
Identifiers
urn:nbn:se:lnu:diva-64265 (URN)978-91-88357-77-9 (ISBN)
Presentation
2017-06-14, C1202, Newton, Hus C, Växjö, 10:15 (English)
Opponent
Supervisors
Funder
Swedish Foundation for Strategic Research , AM13-0011
Available from: 2017-06-09 Created: 2017-06-09 Last updated: 2017-09-01Bibliographically approved

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Nordebo, SvenIvanenko, YevhenNilsson, Börje
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CiteExportLink to record
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Citation style
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