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Chaos analysis of Buck converter with non-singular fractional derivative

Author

Listed:
  • Liao, Xiaozhong
  • Ran, Manjie
  • Yu, Donghui
  • Lin, Da
  • Yang, Ruocen

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.

Suggested Citation

  • Liao, Xiaozhong & Ran, Manjie & Yu, Donghui & Lin, Da & Yang, Ruocen, 2022. "Chaos analysis of Buck converter with non-singular fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000054
    DOI: 10.1016/j.chaos.2022.111794
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    References listed on IDEAS

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    1. Bao, Bocheng & Zhang, Xi & Bao, Han & Wu, Pingye & Wu, Zhimin & Chen, Mo, 2019. "Dynamical effects of memristive load on peak current mode buck-boost switching converter," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 69-79.
    2. Kumar, Sunil & Kumar, Ajay & Samet, Bessem & Gómez-Aguilar, J.F. & Osman, M.S., 2020. "A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
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    Citations

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    Cited by:

    1. Lingling Xie & Jiahao Shi & Junyi Yao & Di Wan, 2022. "Research on the Period-Doubling Bifurcation of Fractional-Order DCM Buck–Boost Converter Based on Predictor-Corrector Algorithm," Mathematics, MDPI, vol. 10(12), pages 1-13, June.
    2. Liao, Xiaozhong & Wang, Yong & Yu, Donghui & Lin, Da & Ran, Manjie & Ruan, Pengbo, 2023. "Modeling and analysis of Buck-Boost converter with non-singular fractional derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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