Equivalent Orthogonal Beam Steering for Fast Determination of Reactions Between Two Phased Arrays of Antennas With Analog Beamforming Networks for Maximum Wireless Power Transfer

A practical methodology to maximize wireless power transfer (WPT) efficiency between two sets of antenna arrays phased by analog beamforming networks (BFNs) with digital phase shifters (DPSs) for excitation weightings is presented. The method is particularly useful to obtain the reaction matrix of transmission coefficients between transmitting antenna (TXA) and receiving antenna (RXA) elements in real WPT systems in operation. Afterward, the obtained reaction matrix can be further processed by the singular value decomposition (SVD) method to determine the required array excitation weightings for TXA and RXA arrays to achieve maximum WPT efficiency. The technique takes advantage of electronically beam steering functionality by a set of orthogonal weightings in phased arrays of antennas. The received signals during beam steering may be instantly processed to recover the reaction matrix as required at the time of system operation. The theoretic concepts are first summarized with full-wave simulation results shown to validate the feasibility of this concept.