A mutual coupling theory is used to analyze the frequency splitting phenomena in magnetic resonance wireless power transfer (WPT) systems, along with a derivation of the critical coupling point (maximum operating distance at which maximum power-transfer efficiency is still achievable). Theoretical analysis and simulation results show the clearly visible frequency splitting phenomena, and reveal that the critical coupling point represents the farthest distance at which the power-transfer efficiency remains the maximum. A derivation of the resonance frequency function of WPT system reveals that the quality factors of receive coil plays a tremendous role in system performance. The study and test results can provide a theoretical support for the design of high power-transfer efficient WPT system based on magnetic resonance.
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