Magnetic energy of surface currents on a torus

Hanno Essén; Johan C.-E. Sten; Arne B. Nordmark

doi:10.2528/PIERB12102909

Magnetic energy of surface currents on a torus

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

VTT Technical Research Centre of Finland

Research output: Contribution to journal › Article › Scientific › peer-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 language	English
Pages (from-to)	357-378
Journal	Progress In Electromagnetics Research B
Volume	46
DOIs	https://doi.org/10.2528/PIERB12102909
Publication status	Published - 2013
MoE publication type	A1 Journal article-refereed

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Essén, H., Sten, J. C-E., & Nordmark, A. B. (2013). Magnetic energy of surface currents on a torus. Progress In Electromagnetics Research B, 46, 357-378. https://doi.org/10.2528/PIERB12102909

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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.",

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AU - Nordmark, Arne B.

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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

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JO - Progress In Electromagnetics Research B

JF - Progress In Electromagnetics Research B

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Access to Document

10.2528/PIERB12102909

http://www.jpier.org/PIERB/pierb46/19.12102909.pdf