Fourier series‑based analysis of class‑D converters with asymmetrical control for inductive power transfer

Aaron D. Scher

Fourier series‑based analysis of class‑D converters with asymmetrical control for inductive power transfer

Aaron D. Scher

Vol. 23, No. 8, pp. 1252-1261, Aug. 2023

10.1007/s43236-023-00616-0

Inductive power transfer

wireless power transfer

Fourier series analysis

Resonant power converter

Multiharmonics

Full-Text

Abstract

This paper presents a steady-state Fourier series-based analysis (FSA) of class-D converters driven by general asymmetrical switching waveforms and its application to the design of inductive power transfer (IPT) systems. This formulation of the FSA extends an earlier analysis that was strictly limited to the symmetrically driven case. For analyzing asymmetrical waveforms, the presented FSA provides an advantage over other multi-harmonic approaches that either use less approximate, simplified circuits to model the nonlinear rectifi er or involve a larger number of unknowns that scale with the number of harmonics. While the presented method is restricted to continuous conduction mode (CCM) operation, it only requires solving for two unknowns (the time delay and duty cycle of the rectangular switching waveform at the rectifier’s input), independent of the number of harmonics considered. IPT systems are commonly operated in CCM, and the FSA is applied to the analysis and design of a series–series compensated IPT system with asymmetrical duty cycle control, in which the optimal switching frequency and input voltage are selected to maximize efficiency subject to design constraints for ensuring low switching losses. Finally, a web-based IPT calculator application is presented to showcase the practicality and usefulness of the FSA.

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Cite this article

[IEEE Style]

A. D. Scher, "Fourier series‑based analysis of class‑D converters with asymmetrical control for inductive power transfer," Journal of Power Electronics, vol. 23, no. 8, pp. 1252-1261, 2023. DOI: 10.1007/s43236-023-00616-0.

[ACM Style]

Aaron D. Scher. 2023. Fourier series‑based analysis of class‑D converters with asymmetrical control for inductive power transfer. Journal of Power Electronics, 23, 8, (2023), 1252-1261. DOI: 10.1007/s43236-023-00616-0.