Simplified Analysis and Characterization of Dual Power Source Wireless Power Transfer System

Noncontact wireless power transfer (WPT) systems require power regulation to ensure their proper operation at rated power due to the many degrees of freedom in noncontact coupling structures. Recently, a promising technology has been introduced for WPT systems, namely, the fractional-order technology with dual power sources to construct an equivalent impedance structure with both variable resistance and reactance. Unlike other impedance matching technologies, the fractional-order technology allows for the adjustment of the equivalent impedance of the resonant network without requiring precise selection of resonant parameters. However, this technology has not been widely adopted due to the abstract concepts involved in fractional calculus theory and control logic. In this article, we employed circuit theory to comprehensively analyze the electrical implications of fractional theory and to provide a detailed description of the inner features of
${C}_\alpha $
. This article reveals the underlying correlation between control variables and the order of
${C}_\alpha $
. Additionally, it is shown that the same fractional-order circuit can display both inductive and capacitive reactance, resulting in a significant extension of the impedance adjustment range of fractional-order components. A prototype was designed and constructed to validate the proposed approach, and the experimental results closely matched the theoretical calculations obtained from the proposed approach.
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