Magnetic energy of surface currents on a torus

Hanno Essén (Corresponding Author), Johan C.-E. Sten, Arne B. Nordmark

Research output: Contribution to journalArticleScientificpeer-review

6 Citations (Scopus)

Abstract

The magnetic energy and inductance of current distributions on the surface of a torus are considered. Specifically, we investigate the influence of the aspect ratio of the torus, and of the pitch angle for helical current densities, on the energy. We show that, for a fixed surface area of the torus, the energy experiences a minimum for a certain pitch angle. New analytical relationships are presented as well as a review of results scattered in the literature. Results for the ideally conducting torus, as well as for thin rings are given.
Original languageEnglish
Pages (from-to)357-378
JournalProgress In Electromagnetics Research B
Volume46
DOIs
Publication statusPublished - 2013
MoE publication typeA1 Journal article-refereed

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pitch (inclination)
Inductance
Aspect ratio
Current density
current distribution
inductance
energy
aspect ratio
current density
conduction
rings

Cite this

Essén, Hanno ; Sten, Johan C.-E. ; Nordmark, Arne B. / Magnetic energy of surface currents on a torus. In: Progress In Electromagnetics Research B. 2013 ; Vol. 46. pp. 357-378.
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Magnetic energy of surface currents on a torus. / Essén, Hanno (Corresponding Author); Sten, Johan C.-E.; Nordmark, Arne B.

In: Progress In Electromagnetics Research B, Vol. 46, 2013, p. 357-378.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Magnetic energy of surface currents on a torus

AU - Essén, Hanno

AU - Sten, Johan C.-E.

AU - Nordmark, Arne B.

PY - 2013

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N2 - The magnetic energy and inductance of current distributions on the surface of a torus are considered. Specifically, we investigate the influence of the aspect ratio of the torus, and of the pitch angle for helical current densities, on the energy. We show that, for a fixed surface area of the torus, the energy experiences a minimum for a certain pitch angle. New analytical relationships are presented as well as a review of results scattered in the literature. Results for the ideally conducting torus, as well as for thin rings are given.

AB - The magnetic energy and inductance of current distributions on the surface of a torus are considered. Specifically, we investigate the influence of the aspect ratio of the torus, and of the pitch angle for helical current densities, on the energy. We show that, for a fixed surface area of the torus, the energy experiences a minimum for a certain pitch angle. New analytical relationships are presented as well as a review of results scattered in the literature. Results for the ideally conducting torus, as well as for thin rings are given.

U2 - 10.2528/PIERB12102909

DO - 10.2528/PIERB12102909

M3 - Article

VL - 46

SP - 357

EP - 378

JO - Progress In Electromagnetics Research B

JF - Progress In Electromagnetics Research B

SN - 1937-6472

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