A Fractional-Order Resonant Wireless Power Transfer System With Inherently Constant Current Output

Abstract

Wireless power transfer (WPT) using magnetic-coupling resonant has been proved to be a promising transmission method. At present, most of the existing resonant WPT systems adopt integer-order inductors and capacitors. In fact, in addition to integer-order components, there also exists fractional-order inductors and capacitors, which possess richer characteristics than integral-order inductors and capacitors. However, there are few studies on the application of fractional-order components in resonant WPT system. Therefore, this paper proposes a fractional-order resonant WPT system, which is based on a fractionalorder resonant circuit only incorporating a fractional-order capacitor. The coupled-mode theory model of the proposed WPT system is established, and the impact of different loads and orders on transfer characteristics is explored. The theoretical analysis demonstrates that the proposed system can achieve constant current output that is independent of load, just by choosing appropriate parameters of the fractional-order capacitor. Finally, an experimental prototype of the fractional-order resonant WPT system is built, and the experiment results verify the correctness of the theoretical analysis.

Adaptation of inductive power transfer to small household appliances that can operate on induction heating cooktops: wireless electric kettle

“…Today, Wireless Power Transfer (WPT) technology is used in many applications, from low-power charged toothbrushes to high-powered electric vehicles, such as home electronics, biomedical devices, and portable smart devices [1]- [5]. The most basic benefit that WPT systems provide to the user is that they can save the products from cable clutter and use them in a mobile way.…”

Fractional-order autonomous circuits with order larger than one

“…Fractional-order elements can be used to construct a variety of fractional-order circuits such as fractional-order DC-DC converter, fractional-order impedance network, fractional-order RLC resonant circuit, wireless power transfer system, fractional-order PID controller and so on [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] , [29] , [30] , [31] . In [20] , the FOIs are used in DC-DC converters, and the result shows that the output voltage gain can be adjusted by changing the order of the FOI.…”

“…Reference [26] presents a fractional-order RLC resonant circuit, which demonstrates that the resonant frequency can be controlled not only by inductance and capacitance but also by the fractional-order α and β . FOC can also be used to realize a fractional-order wireless power transfer circuit, whose output characteristic is determined by the order of FOC, and when the order is constant, constant current output of the circuit can be realized, while integer-order circuits is difficult to achieve [29] , [30] . In [31] , using simple analog circuits can realize a fractional-order PID controller, which has more control freedom than the integer-order PID controller.…”

Modeling and Analysis of the Fractional-Order Flyback Converter in Continuous Conduction Mode by Caputo Fractional Calculus

“…Moreover, the additional parameter orders of fractional calculus may change performance and increase design degrees of freedom for the system [2]. Therefore, fractional calculus has attracted increasing attention from the fields of engineering in recent decades, including electrochemistry, bioengineering, image processing, control theory, electrical engineering, etc [1][2][3][4][5][6][7].…”