Optimal Terminals of a Multitransmitter Multireceiver Inductive Coupler With Equality Power Constraints

This article develops a general and comprehensive ac analysis to study the optimal condition of a multitransmitter (TX) and multireceiver (RX) coupler. Based on the practical demands, a standard optimization problem is defined and solved by the Lagrange multiplier method. This article would analytically discuss the optimal coupler condition, discuss its physical meaning, and build a uniform perspective to understand representative systems. The meaning of the optimal analysis is justified by the evaluation and comparison of a circular pad-based coupler and a tripolar pad-based one. The influence of coupling and power distribution are effectively discussed based on the proposed ac analysis. The experiment builds a complete system to test the dc performance and justify the effectiveness of ac analysis. When the tripolar pad is used as the TX, a two-RX system would achieve 93.6% maximum dc efficiency with only 8.6% variation under all coupling conditions.