On the Flux Linkage between Pancake Coils in Resonance-Type Wireless Power Transfer Systems

This work presents a series representation for the mutual inductance of two coaxial pancake coils which remains accurate in non-quasi-static regime under the hypothesis that the current in the source coil is uniformly distributed. Making use of Gegenbauer’s addition theorem and a term-by-term analyt...

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Bibliographic Details
Main Authors: Mauro Parise, Giulio Antonini, Daniele Romano
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2020/8630978
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Summary:This work presents a series representation for the mutual inductance of two coaxial pancake coils which remains accurate in non-quasi-static regime under the hypothesis that the current in the source coil is uniformly distributed. Making use of Gegenbauer’s addition theorem and a term-by-term analytical integration, the mutual inductance between two generic turns belonging to distinct coils is expressed as a sum of spherical Hankel functions with algebraic coefficients. The accuracy and efficiency of the resulting expression is proved through pertinent numerical examples.
ISSN:1687-5869
1687-5877