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Convex optimization of coil spacing in cascaded multi-coil wireless power transfer

Published online by Cambridge University Press:  19 February 2020

Connor Badowich ,
Jacques Rousseau  and
Loïc Markley Open the ORCID record for Loïc Markley [Opens in a new window]
Connor Badowich
Affiliation:
School of Engineering, University of British Columbia, Kelowna, BC, V1V 1V7, Canada
Jacques Rousseau
Affiliation:
School of Engineering, University of British Columbia, Kelowna, BC, V1V 1V7, Canada
Loïc Markley*
Affiliation:
School of Engineering, University of British Columbia, Kelowna, BC, V1V 1V7, Canada
*
Author for correspondence: Loïc Markley, School of Engineering, University of British Columbia, Kelowna, BC, V1V 1V7, Canada. E-mail: loic.markley@ubc.ca
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Abstract

In this paper, we use convex optimization to maximize power efficiency through cascaded multi-coil wireless power transfer systems and investigate the resulting characteristic spacing. We show that although the efficiency is generally a non-convex function of the coil spacing, it can be approximated by a convex function when the effects of higher-order couplings are small. We present a method to optimize the spacing of cascaded coils for maximum efficiency by perturbing the solution of the convex approximation to account for higher-order interactions. The method relies on two consecutive applications of a local optimization algorithm in order to enable fast convergence to the global optimum. We present the optimal configurations of coil systems containing up to 20 identical coils that transfer power over distances up to 4.0 m. We show that when spacing alone is optimized, there exist an optimal number of coils that maximize transfer efficiency across a given distance. We also demonstrate the use of this method in optimizing the placement of a select number of high-Q coils within a system of low-Q relay coils, with the highest efficiencies occurring when the high-Q coils are placed on either side of the largest gaps within the relay coil chain.

Keywords

Cascaded resonatorsconvex optimizationmagnetic resonance couplingmaximum efficiencymulti-coil system
Type
Research Article
Information
Wireless Power Transfer , Volume 7 , Issue 1 , March 2020 , pp. 42 - 50
Copyright
Copyright © The Author(s), 2020. Published by Cambridge University Press

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