Frequency splitting patterns in wireless power relay transfer

Frequency splitting patterns in low-order wireless power relay transfer systems are analysed by the coupled-mode theory. In addition to the V-type splitting pattern reported widely, two new patterns, I-type and W-type, are introduced. Specifically, it is found that a 0-relay system shows a V-type or I-type splitting; a symmetrical 1-relay system shows an I-type or W-type splitting; and a symmetrical 2-relay system usually shows a V-type or W-type splitting. The criteria for different frequency splitting patterns are given, and the theoretical results are validated finally by 1-relay and 2-relay wireless power transfer experimental systems.