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Bifurcation Phenomena Studies of a Voltage Controlled Buck-Inverter Cascade System

Author

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  • Xiaofei Li

    (School of Automation, Chongqing University, Chongqing 400044, China)

  • Chunsen Tang

    (School of Automation, Chongqing University, Chongqing 400044, China)

  • Xin Dai

    (School of Automation, Chongqing University, Chongqing 400044, China)

  • Aiguo Patrick Hu

    (Department of Electrical and Computer Engineering, The University of Auckland, 1142 Auckland, New Zealand)

  • Sing Kiong Nguang

    (Department of Electrical and Computer Engineering, The University of Auckland, 1142 Auckland, New Zealand)

Abstract

This paper studies the complex bifurcation phenomena of a voltage-controlled Buck-inverter cascade system. A state-flow chart is drawn to illustrate the complex relations among the linear operating modes. Combined with the state transition function of each mode, the time response of the system can be obtained. For period-one steady state, the periodic mapping function and its fixed point are further derived, on the basis of which the Jacobi matrix is developed and its maximum eigenvalue is analyzed to understand the bifurcation diagram. By globally analyzing the state space using this cell mapping method, the coexistence of attractors is revealed in the Buck-inverter system. All theoretical results have been verified experimentally on a prototype system. The results obtained can be used for guiding the design and analysis of the Buck-inverter system. The analyzing method can be helpful for studying other power electronics systems with compound topologies.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:5:p:708-:d:98946
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    References listed on IDEAS

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    1. Liang Hu & Yibing Liu & Wei Teng & Chao Zhou, 2016. "Nonlinear Coupled Dynamics of a Rod Fastening Rotor under Rub-Impact and Initial Permanent Deflection," Energies, MDPI, vol. 9(11), pages 1-19, October.
    2. Yuyu Geng & Bin Li & Zhongping Yang & Fei Lin & Hu Sun, 2017. "A High Efficiency Charging Strategy for a Supercapacitor Using a Wireless Power Transfer System Based on Inductor/Capacitor/Capacitor (LCC) Compensation Topology," Energies, MDPI, vol. 10(1), pages 1-17, January.
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    Cited by:

    1. Liying Huang & Dongyuan Qiu & Fan Xie & Yanfeng Chen & Bo Zhang, 2017. "Modeling and Stability Analysis of a Single-Phase Two-Stage Grid-Connected Photovoltaic System," Energies, MDPI, vol. 10(12), pages 1-14, December.
    2. 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.

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