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J. Electromagn. Eng. Sci > Volume 16(2); 2016 > Article
Journal of Electromagnetic Engineering and Science 2016;16(2):112-118.
DOI: https://doi.org/10.5515/JKIEES.2016.16.2.112   
Alternative Expressions for Mutual Inductance and Coupling Coefficient Applied in Wireless Power Transfer
Gunyoung Kim, Bomson Lee
Department of Electronics and Radio Engineering, Kyung Hee University
Correspondence:  Bomson Lee,Email: bomson@khu.ac.kr
Abstract
Alternative analytic expressions for the mutual inductance ($L_m$) and coupling coefficient (k) between circular loops are presented using more familiar and convenient expressions that represent the property of reciprocity clearly. In particular, the coupling coefficients are expressed in terms of structural dimensions normalized to a geometric mean of radii of two loops. Based on the presented expressions, various aspects of the mutual inductances and coupling coefficients, including the regions of positive, zero, and negative value, are examined with respect to their impacts on the efficiency of wireless power transmission.
Key words: Coupling Coefficient, Magnetic Flux, Mutual Inductance, Transfer Efficiency, Wireless Power Transfer

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