Journal
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
Volume 65, Issue 10, Pages 5462-5474Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAP.2017.2735452
Keywords
Convex optimization; metasurface (MS); multiple transmitters; passive elements; power transfer efficiency (PTE); semidefinite programming; wireless power transfer (WPT)
Funding
- Natural Sciences and Engineering Research Council of Canada (NSERC)
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This paper presents a rigorous optimization technique for wireless power transfer (WPT) systems enhanced by passive elements, ranging from simple reflectors and intermediate relays all the way to general electromagnetic guiding and focusing structures, such as metasurfaces and metamaterials. At its core is a convex semidefinite relaxation formulation of the otherwise nonconvex optimization problem, of which tightness and optimality can be confirmed by a simple test of its solutions. The resulting method is rigorous, versatile, and general-it does not rely on any assumptions. As shown in various examples, it is able to efficiently and reliably optimize such WPT systems in order to find their physical limitations on performance, optimal operating parameters, and inspect their working principles, even for a large number of active transmitters and passive elements.
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