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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2014-05-15
The Equivalent Self-Inductance of n Coupled Parallel Coils
By
Guo-Quan Zhou

    Dr. Guo-Quan Zhou

    Department of Physics

    Wuhan University

    China

    Homepage

Progress In Electromagnetics Research Letters, Vol. 46, 59-66, 2014
doi:10.2528/PIERL14031105 | Google Scholar

Abstract
Based on Faraday's law of electromagnetic induction and the existence condition of non-trivial solution to a homogeneous and linear differential system of equations, the equivalent self-inductance of N coupled parallel coils has been derived by uing some algebraic techniques. It can be expressed as the ratio of the determinants of two matrices, with ranks of N and N-1, respectively, and constructed with the self and mutual inductance of those coils. In addition, special conclusions are deduced and/or discussed in detail for three particular cases: 1, the completely uncoupled case, 2, the identical and symmetrical case, and 3, the completely coupled case, which are coincident with the existing results in the references.
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Citation
Guo-Quan Zhou, "The Equivalent Self-Inductance of n Coupled Parallel Coils," Progress In Electromagnetics Research Letters, Vol. 46, 59-66, 2014.
doi:10.2528/PIERL14031105
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