中文摘要：

针对谐振无线电能传输谐振频率高而电力电子器件目前较难实现高频大功率开关变换器的问题，提出一种基于分数阶原理降低无线电能传输谐振频率的方法，建立SS型分数阶无线电能传输系统的电路模型，推导其输出功率和传输效率的表达式，通过Matlab数值仿真分析分数阶元件的阶数对谐振无线电能传输参数及特性的影响。研究结果表明，采用分数阶电感、电容元件，可以大幅度降低谐振无线电能传输系统的谐振频率，从而降低开关器件的开关频率，且可以输出比整数阶无线电能传输系统更大的功率。

英文摘要：

The resonant frequency of resonant wireless power transmission is high and the power electric device is difficult to achieve high-frequency high-power switching converters at present.Accordingly,a method for reducing the resonant frequency of resonant wireless power transmission was proposed based on fractional-order principle.The circuit model of series-series fractional-order wireless power transmission system was then established,and the output power and transmission efficiency were deduced.The influence of the fractional order on the parameters and characteristics of resonant wireless power transmission was analyzed by Matlab simulation.The results show that the fractional-order inductance and capacitance components can greatly reduce the resonant frequency of resonant wireless power transmission and the switching frequency of the switching device,and can also output more power than the integer order wireless power transmission system.