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Quantifying the Nonlinear Dynamic Behavior of the DC-DC Converter via Permutation Entropy

Author

Listed:
  • Zhenxiong Luo

    (School of Electric Power, South China University of Technology, Guangzhou 510641, China)

  • Fan Xie

    (School of Electric Power, South China University of Technology, Guangzhou 510641, China)

  • Bo Zhang

    (School of Electric Power, South China University of Technology, Guangzhou 510641, China)

  • Dongyuan Qiu

    (School of Electric Power, South China University of Technology, Guangzhou 510641, China)

Abstract

Quantifying nonlinear dynamic behaviors, such as bifurcation and chaos, in nonlinear systems are currently being investigated. In this paper, permutation entropy is used to characterize these complex phenomena in nonlinear direct current-direct current (DC-DC) converter systems. A mode switching time sequence (MSTS), containing the information from different periodic states, is obtained in a DC-DC converter by reading the inductor current when altering the switching mode. To obtain the nonlinear characteristics of this system, the concept of permutation entropy of symbolic probability distribution properties is introduced and the structure of the chaotic system is reproduced based on the theory of phase space reconstruction. A variety of nonlinear dynamic features of the DC-DC converter are analyzed using the MSTS and permutation entropy. Finally, a current-mode-controlled buck converter is reviewed as a case to study the quantification of nonlinear phenomena using permutation entropy as one of the system parameters changes.

Suggested Citation

  • Zhenxiong Luo & Fan Xie & Bo Zhang & Dongyuan Qiu, 2018. "Quantifying the Nonlinear Dynamic Behavior of the DC-DC Converter via Permutation Entropy," Energies, MDPI, vol. 11(10), pages 1-15, October.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:10:p:2747-:d:175462
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    References listed on IDEAS

    as
    1. Xiaofei Li & Chunsen Tang & Xin Dai & Aiguo Patrick Hu & Sing Kiong Nguang, 2017. "Bifurcation Phenomena Studies of a Voltage Controlled Buck-Inverter Cascade System," Energies, MDPI, vol. 10(5), pages 1-13, May.
    2. Donglin Yan & Weiyu Wang & Qijuan Chen, 2018. "Nonlinear Modeling and Dynamic Analyses of the Hydro–Turbine Governing System in the Load Shedding Transient Regime," Energies, MDPI, vol. 11(5), pages 1-17, May.
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