Performance Analysis of Fractional Wireless Power Transfer Systems via Scattering Parameters

Analyzing fractional-order wireless power transfer (WPT) systems through scattering parameters reveals several advantages over their classical counterparts. Compared to the fixed value in classical systems, the most notable improvement is the variable nature of the critical coupling coefficient in fractional systems. This contrasts with the classical system, which shows optimal performance only under near-perfect coupling conditions and within a narrow frequency band around the resonant frequency. The efficiency analysis reveals that the fractional system maintains a higher transfer efficiency at lower coupling coefficients by leveraging higher frequency operations, a capability not present in classical WPT systems. The ability to optimise performance through frequency adjustment rather than physical coupling modifications represents a significant advancement in wireless power transfer technology.