 Chaos analysis of Buck converter with non-singular fractional derivativeXiaozhong Liao, Manjie Ran, Donghui Yu, Da Lin and Ruocen Yang Chaos, Solitons & Fractals, 2022, vol. 156, issue C Abstract: This paper presents a time-domain mathematical model of the Buck converter using the non-singular fractional derivative that was proposed by Caputo and Fabrizio. The time-domain waveforms of the output voltage and current of the converter in different orders are obtained, and the correctness of the time-domain model has been verified. On this basis, the discrete iterative mapping model of the fractional-order Buck converter in peak current mode is established. The chaotic behaviors of the system are studied by numerical simulations, and the bifurcation diagrams at different fractional orders are investigated. The analog circuit implementation of the fractional-order Buck converter is established, and the results obtained via circuit simulations are consistent with the results of numerical simulations, which effectively validate the accuracy of the previous theoretical analysis. Keywords: Fractional calculus; Buck converter; Caputo–Fabrizio derivative; Bifurcation; Chaos (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000054 DOI: 10.1016/j.chaos.2022.111794 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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