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

Sven Nordebo, Mats Gustafsson, Yevhen Ivanenko, Börje Nilsson, Daniel Sjöberg

Research output: Contribution to journalArticlepeer-review

1 Citation (SciVal)

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.
Original languageEnglish
Pages (from-to)959–965
JournalMathematical Methods in the Applied Sciences
Volume41
Issue number3
Early online date2016
DOIs
Publication statusPublished - 2018

Subject classification (UKÄ)

  • Other Electrical Engineering, Electronic Engineering, Information Engineering

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