Quasi-static variational analysis of planar spiral conductors

Tommi Dufva, Johan Sten

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

Abstract

The analysis of a multilayered structure consisting of several planar spiral conductors with a common vertical axis is reduced to a treatment of certain rotationally symmetric electro- and magnetostatic field problems. These problems are solved using the variational method and the Rayleigh-Ritz procedure. The unknown charge and current distributions on the surfaces of the conductors are estimated by compact sets of basis functions. Due to the inhomogeneity of the medium the treatment is carried out in the Hankel-transformed domain. The elements of the resulting capacitance and inductance matrices are used to create a network model for the original structure. Finally, the method is verified against FEM simulations in a case of a simple spiral inductor, and a good agreement is found.
Original languageEnglish
Pages (from-to)957-976
JournalJournal of Electromagnetic Waves and Applications
Volume16
Issue number7
DOIs
Publication statusPublished - 2002
MoE publication typeA1 Journal article-refereed

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Magnetostatics
Inductance
Electrostatics
Capacitance
conductors
magnetostatic fields
Finite element method
inductors
current distribution
inductance
charge distribution
inhomogeneity
capacitance
electric fields
matrices
simulation

Cite this

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title = "Quasi-static variational analysis of planar spiral conductors",
abstract = "The analysis of a multilayered structure consisting of several planar spiral conductors with a common vertical axis is reduced to a treatment of certain rotationally symmetric electro- and magnetostatic field problems. These problems are solved using the variational method and the Rayleigh-Ritz procedure. The unknown charge and current distributions on the surfaces of the conductors are estimated by compact sets of basis functions. Due to the inhomogeneity of the medium the treatment is carried out in the Hankel-transformed domain. The elements of the resulting capacitance and inductance matrices are used to create a network model for the original structure. Finally, the method is verified against FEM simulations in a case of a simple spiral inductor, and a good agreement is found.",
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Quasi-static variational analysis of planar spiral conductors. / Dufva, Tommi; Sten, Johan.

In: Journal of Electromagnetic Waves and Applications, Vol. 16, No. 7, 2002, p. 957-976.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - Quasi-static variational analysis of planar spiral conductors

AU - Dufva, Tommi

AU - Sten, Johan

PY - 2002

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AB - The analysis of a multilayered structure consisting of several planar spiral conductors with a common vertical axis is reduced to a treatment of certain rotationally symmetric electro- and magnetostatic field problems. These problems are solved using the variational method and the Rayleigh-Ritz procedure. The unknown charge and current distributions on the surfaces of the conductors are estimated by compact sets of basis functions. Due to the inhomogeneity of the medium the treatment is carried out in the Hankel-transformed domain. The elements of the resulting capacitance and inductance matrices are used to create a network model for the original structure. Finally, the method is verified against FEM simulations in a case of a simple spiral inductor, and a good agreement is found.

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JO - Journal of Electromagnetic Waves and Applications

JF - Journal of Electromagnetic Waves and Applications

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