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

    Fingerprint

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

    Cite this

    @article{6183a230234a4eab9423492fa13c96de,
    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.",
    author = "Tommi Dufva and Johan Sten",
    year = "2002",
    doi = "10.1163/156939302X00291",
    language = "English",
    volume = "16",
    pages = "957--976",
    journal = "Journal of Electromagnetic Waves and Applications",
    issn = "0920-5071",
    publisher = "Taylor & Francis",
    number = "7",

    }

    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

    TY - JOUR

    T1 - Quasi-static variational analysis of planar spiral conductors

    AU - Dufva, Tommi

    AU - Sten, Johan

    PY - 2002

    Y1 - 2002

    N2 - 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.

    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.

    U2 - 10.1163/156939302X00291

    DO - 10.1163/156939302X00291

    M3 - Article

    VL - 16

    SP - 957

    EP - 976

    JO - Journal of Electromagnetic Waves and Applications

    JF - Journal of Electromagnetic Waves and Applications

    SN - 0920-5071

    IS - 7

    ER -