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Cylindrical multipole expansion for periodic sources with applications for three-phase power cables

Nordebo, Sven LU ; Gustafsson, Mats LU ; Ivanenko, Yevhen; Nilsson, Börje and Sjöberg, Daniel LU (2016) In Mathematical Methods in the Applied Sciences
Abstract
This paper presents a cylindrical 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 of cable losses. Explicit analytical results are given for the fields generated by a three-phase helical current distribution and which 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 furthermore used to derive an... (More)
This paper presents a cylindrical 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 of cable losses. Explicit analytical results are given for the fields generated by a three-phase helical current distribution and which 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 furthermore used to derive an efficient analytical model of a measurement coil to measure and estimate the complex valued permeability of magnetic steel armour in the presence of a strong skin-effect. (Less)
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organization
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type
Contribution to journal
publication status
published
subject
in
Mathematical Methods in the Applied Sciences
publisher
John Wiley & Sons
ISSN
1099-1476
DOI
10.1002/mma.3992
language
English
LU publication?
yes
id
7a69dfae-1260-4016-81e6-120ce9f9cb78
date added to LUP
2017-02-13 17:20:18
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2017-02-14 13:25:40
@article{7a69dfae-1260-4016-81e6-120ce9f9cb78,
  abstract     = {This paper presents a cylindrical 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 of cable losses. Explicit analytical results are given for the fields generated by a three-phase helical current distribution and which 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 furthermore used to derive an efficient analytical model of a measurement coil to measure and estimate the complex valued permeability of magnetic steel armour in the presence of a strong skin-effect.},
  author       = {Nordebo, Sven and Gustafsson, Mats and Ivanenko, Yevhen and Nilsson, Börje and Sjöberg, Daniel},
  issn         = {1099-1476},
  language     = {eng},
  publisher    = {John Wiley & Sons},
  series       = {Mathematical Methods in the Applied Sciences},
  title        = {Cylindrical multipole expansion for periodic sources with applications for three-phase power cables},
  url          = {http://dx.doi.org/10.1002/mma.3992},
  year         = {2016},
}