Matching capacitance and transfer efficiency of four wireless power transfer systems via magnetic coupling resonance

Matching capacitance determines the resonance and resonant frequency for a given wireless power transfer (WPT) system. Theoretical solutions for matching capacitance are essential to designing and controlling a coupling system in resonant status and to ensuring that the system operates under high power transfer efficiency. This paper deduced all the analytical expressions of matching capacitance to achieve magnetic resonance for four classical circuitries when considering the coils' resistances. Our results showed that there are several kinds of capacitance matching methods for each circuitry to achieve resonance. Matching capacitances, different from those in the existing literatures, make the system really operate under the magnetic coupling resonance. In literatures, the capacitance at the receiver side compensated only the self-inductance of the receiver coil and the system except series to series did not operate in the resonance state. Furthermore, the resonance conditions in applications were then given. Accordingly, the expressions of resonant WPT efficiency were presented. These expressions revealed how the underlying factors besides matching capacitance affect the power transfer efficiency, and provided easy access optimizing circuit parameters for high transfer efficiency. Four kinds of circuits were compared through theoretical analysis, calculations and experiments. Experimental results verified the theoretical solutions. Copyright (c) 2016 John Wiley & Sons, Ltd.