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Self-similarity and frequency-mixing phenomena analysis of multi-frequency controlled switching converter

Wu Song-Rong Zhou Guo-Hua Wang Jin-Ping Xu Jian-Ping He Sheng-Zhong

Self-similarity and frequency-mixing phenomena analysis of multi-frequency controlled switching converter

Wu Song-Rong, Zhou Guo-Hua, Wang Jin-Ping, Xu Jian-Ping, He Sheng-Zhong
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Publishing process
  • Received Date:  30 September 2013
  • Accepted Date:  16 October 2013
  • Published Online:  20 January 2014

Self-similarity and frequency-mixing phenomena analysis of multi-frequency controlled switching converter

  • 1. Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China;
  • 2. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 51177140, 61371033), the Sichuan Provincial Youth Science and Technology Fund, China (Grant No. 2013JQ0033), and the Fundamental Research Funds for the Central Universities of China (Grant Nos. 2682013ZT20, SWJTU11CX032).

Abstract: Based on the operation principle and state equations of multi-frequency (MF) controlled switching converter, the discrete iterative map model is established, the corresponding characteristics equation and Lyapunov exponent of MF controlled switching converter operating in discontinuous conduction mode are derived. According to the discrete iterative map model, its bifurcation behaviors are investigated. It is found that the border-collision bifurcation and the multi-period behaviors occur in converter, when the circuit parameters are varied. When the voltage error boundary is too large, the converter behaves as self-similarity phenomenon, and when the voltage error boundary is too small, the converter behaves as frequency-mixing phenomenon. The converter stability is investigated by Lyapunov exponent, which validates the correctness of bifurcation analysis. Time-domain waveforms and phase portraits of converter with the load varied, are analyzed by circuit simulation, which validates the validity of discrete iterative map model and the correctness of theoretical analysis. Finally, simulation results in this paper are verified by experimental results.

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