应用于无线电能传输的Litz线平面矩形螺旋线圈高频电阻计算

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摘要在外部磁场的影响下,导线中的高频电流呈不均匀分布,致使其导电面积远小于横截面积,从而引起额外的电阻,称之为高频电阻。高频电阻中的感生电阻与磁场的平方呈正比。应用毕奥-萨伐定律对Litz线平面矩形螺旋线圈中的磁场进行分析,以计算线圈中的高频电阻,进而分析其最大品质因数及最优运行频率。对几个线圈原型的测量表明,该分析方法较好地预测了线圈在不同频率下的电阻及最优运行频率。使用两个外边长460 mm×208 mm、内边长312 mm×64 mm的矩形线圈所制作的无线能量传输系统,距离500 mm时,在稍低于预测的最优频率时获得的最大DC-DC效率为58.7%,接收端功率为50 W。

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关键词 ：邻近效应, 高频电阻, 毕奥-萨伐定律, Litz线, 无线电能传输

Abstract：The high frequency current is un-uniform in the wire due to external magnetic field. As a result, the conductive area of the wire is far smaller than its cross-section, and the excess resistance, namely the frequency-dependent resistance, is induced. The high frequency resistance is proportional to the square of the magnetic field the wire exposed to. The paper employees the Biot-Savart law to analyze the magnetic field distribution of the planar rectangular solenoid coils for evaluating the frequency-dependent resistance. The maximum quality factor of the coil and the corresponding optimal operation frequency are derivate based on the analyses of the field and resistance. A few coils are manufactured and their high frequency resistances are measured. The measurements show that the proposed method predicts the resistance under various frequencies and the optimal operation frequency precisely. Two coils, whose outer and inner dimensions are 460 mm×208 mm and 312 mm×64 mm, are employed to build a wireless power transfer system. Under the frequency slightly lower than the predicted optimal one, the system obtains the maximum DC-DC efficiency of 58.7% and receives 50 watts power at the distance of 500 mm.

Key words： Proximity-effect high frequency the Biot-Savart law Liz-wire wireless power transfer

收稿日期: 2015-04-19 出版日期: 2016-07-12

PACS:

TM724

基金资助:国家科技支撑计划资助项目(2013BAA01B01)。

通讯作者: 刘姜涛女,1979年生,博士,副教授,研究方向为无线电能传输、电力变压器有源降噪等。E-mail:liu_jiangtao@whu.edu.cn

作者简介: 邓其军男,1975年生,博士,副教授,研究方向为无线电能传输、谐振电力变换、电力信息化。E-mail:dqj@whu.edu.cn

引用本文:

邓其军,刘姜涛,陈诚,蒋燕,周洪. 应用于无线电能传输的Litz线平面矩形螺旋线圈高频电阻计算[J]. 电工技术学报, 2016, 31(11): 176-185. Deng Qijun Liu Jiangtao Chen Cheng Jiang Yan Zhou Hong. High Frequency Resistance in Litz-Wire Planar Rectangular Solenoid Coils for Wireless Power Transfer. Transactions of China Electrotechnical Society, 2016, 31(11): 176-185.

链接本文:

https://dgjsxb.ces-transaction.com/CN/Y2016/V31/I11/176

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