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The Equivalent Self-Inductance of n Coupled Parallel Coils

By Guo-Quan Zhou
Progress In Electromagnetics Research Letters, Vol. 46, 59-66, 2014


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.


Guo-Quan Zhou, "The Equivalent Self-Inductance of n Coupled Parallel Coils," Progress In Electromagnetics Research Letters, Vol. 46, 59-66, 2014.


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