A Fractional‐Order Method of Frequency Splitting and Bifurcation Suppression for Wireless Power Transfer Systems

• Published in: International journal of circuit theory and applications 2024-12, Vol.52 (12), p.6468-6478
• Main Authors: Shu, Xujian, Zhang, Xueqi, Jiang, Yanwei, Zhang, Bo
• Format: Article
• Language: English
• Subjects: Bifurcations; Capacitors; Cell phones; Electric equipment; Electric vehicle charging; Fractional calculus; fractional‐order; frequency bifurcation; frequency splitting; Household appliances; Resonant frequencies; Splitting; wireless power transfer; Wireless power transmission
• ISSN: 0098-9886; 1097-007X
• DOI: 10.1002/cta.4262

ABSTRACT Wireless power transfer (WPT) is an emerging technology that enables the wireless transfer of electrical energy from power supplies to electrical equipment. It has been widely used in electric vehicles, mobile phones, household appliances, medical devices, and other fields. However, the frequency splitting and bifurcation phenomena existing in WPT systems are the fundamental obstacles and challenges that affect the effective operation of WPT systems. In this paper, a method based on the fractional‐order circuit is proposed to simultaneously suppress the frequency splitting and bifurcation phenomena by changing the order of fractional‐order capacitor. By replacing the compensation capacitor in the transmitter of the traditional WPT system with a fractional‐order capacitor, a fractional‐order WPT system is formed. Then, using fractional calculus and circuit theory, the mathematical model of the proposed WPT system containing a fractional‐order capacitor is established, and the frequency splitting and bifurcation phenomena are analyzed. The theoretical results show that the frequency splitting and bifurcation phenomena are suppressed only by adjusting the order of fractional‐order capacitor, and the output power of the original resonant frequency is improved. Finally, the experimental prototype is implemented to validate the theoretical results. In this paper, a method based on the fractional‐order circuit is proposed to simultaneously suppress the frequency splitting and bifurcation phenomena by changing the order of fractional‐order capacitor. The theoretical results show that the frequency splitting and bifurcation phenomena are suppressed only by adjusting the order of fractional‐order capacitor, and the output power of the original resonant frequency is improved. Finally, the experimental prototype is implemented to validate the theoretical results.