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Magnetic resonant coupling (MRC) is a practically appealing method forrealizing the near-field wireless power transfer (WPT). The MRC-WPT system witha single pair of transmitter and receiver has been extensively studied in theliterature, while there is limited work on the general setup with multipletransmitters and/or receivers. In this paper, we consider a point-to-multipointMRC-WPT system with one transmitter sending power wirelessly to a set ofdistributed receivers simultaneously. We derive the power delivered to the loadof each receiver in closed-form expression, and reveal a "near-far" fairnessissue in multiuser power transmission due to users' distance-dependent mutualinductances with the transmitter. We also show that by designing the receivers'load resistances, the near-far issue can be optimally solved. Specifically, wepropose a centralized algorithm to jointly optimize the load resistances tominimize the power drawn from the energy source at the transmitter under givenpower requirements for the loads. We also devise a distributed algorithm forthe receivers to adjust their load resistances iteratively, for ease ofpractical implementation.

Multiuser Charging Control in Wireless Power Transfer via Magnetic Resonant Coupling