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J. Electromagn. Eng. Sci > Volume 16(2); 2016 > Article
Journal of Electromagnetic Engineering and Science 2016;16(2):126-133.
DOI: https://doi.org/10.5515/JKIEES.2016.16.2.126   
Analysis of Efficiencies for Multiple-Input Multiple-Output Wireless Power Transfer Systems
Sejin Kim, Bomson Lee
Department of Electronic and Radio Engineering, Kyung Hee University
Correspondence:  Bomson Lee,Email: bomson@khu.ac.kr
Abstract
Wireless power transfer (WPT) efficiencies for multiple-input multiple-output (MIMO) systems are formulated with a goal of achieving their maximums using Z matrices. The maximum efficiencies for any arbitrarily given configurations are obtained using optimum loads, which can be determined numerically through adequate optimization procedures in general. For some simpler special cases (single-input single-output, single-input multiple-output, and multiple-input single-output) of the MIMO systems, the efficiencies and optimum loads to maximize them can be obtained using closed-form expressions. These closed-form solutions give us more physical insight into the given WPT problem. These efficiencies are evaluated theoretically based on the presented formulation and also verified with comparisons with circuit- and EM-simulation results. They are shown to lead to a good agreement. This work may be useful for construction of the wireless Internet of Things, especially employed with energy autonomy.
Key words: Coupling Coefficient, Optimum Load Resistance, Transfer Efficiency, Wireless Power Transfer, Z Matrix

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