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This paper presents closed-form expressions of optimal loads that achieve the maximum efficiency for inductive power transfer (IPT) system with multiple receivers. We model the system as a passive N-port network and jointly optimize both reactive and resistive components of the loads. The derived expression allows one to predict RF-to-RF efficiency of IPT system with any number of receivers, under any coupling condition and through any type of media.

Maximum efficiency formulation for inductive power transfer with multiple receivers