Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Nonlinear Dynamic Characteristics of Peak-Current-Mode Controlled DC–DC Boost Converters with Fractional-Order Output Filtering Capacitor

Version 1 : Received: 27 February 2023 / Approved: 28 February 2023 / Online: 28 February 2023 (07:20:56 CET)

How to cite: Chen, X.; Zheng, F.; Yang, C.; Ma, H.; Zhu, B. On Nonlinear Dynamic Characteristics of Peak-Current-Mode Controlled DC–DC Boost Converters with Fractional-Order Output Filtering Capacitor. Preprints 2023, 2023020512. https://doi.org/10.20944/preprints202302.0512.v1 Chen, X.; Zheng, F.; Yang, C.; Ma, H.; Zhu, B. On Nonlinear Dynamic Characteristics of Peak-Current-Mode Controlled DC–DC Boost Converters with Fractional-Order Output Filtering Capacitor. Preprints 2023, 2023020512. https://doi.org/10.20944/preprints202302.0512.v1

Abstract

The concepts of fractional calculus and the related techniques have been gaining momentum in circuit system fields, and an increasing body of evidence suggests that fractional-order characteristics are widely distributed in electronic components. In this paper, we consider the fractional characteristics of non-solid aluminum electrolytic capacitors and focus on the nonlinear dynamic characteristics of peak-current-mode controlled (PCMC) dc-dc boost converters with such components. In the work, we establish a piecewise smooth non-commensurate fractional-order model to describe the converter, in which the fractional-order equivalent impedance model of capacitors is adopted and the detailed control loop is considered. In order to analyze the converter, we use the fractional Adams-Bashforth-Moulton typed method (F-ABM) and stroboscopic map technique to obtain the time-domain solutions and the bifurcation diagram. The results of bifurcation diagrams indicate that, with the change of different parameters, the converter enters chaotic state through period doubling bifurcation. In order to provide empirical evidence for the nonlinear dynamic analysis, we consider both circuit-level simulation and experiments in the work, the results of which further confirm the results of theoretical analysis.

Keywords

fractional-order characteristics; capacitors; dc-dc boost converter; piecewise smooth; nonlinear dynamic characteristics

Subject

Engineering, Electrical and Electronic Engineering

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.