Existence of horseshoe maps in voltage-mode controlled buck converters |
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| Authors: | Dai Dong Tse Chi-Kong and Ma Xi-Kui |
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| Affiliation: | State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China; Department of Electronic and Information Engineering,Hong Kong Polytechnic University, Hong Kong, China |
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| Abstract: | In this paper, chaos in a voltage-mode controlled buck converter is studied.
The existence of chaos is proven theoretically in this system. The proof consists
of showing that the dynamics of the system is semiconjugate to that of a one-sided
shift map, which implies positive entropy of the system and hence
chaotic behaviour.
The essential tool is the horseshoe hypotheses proposed by Kennedy and Yorke, which
will be reviewed prior to the discussion of the main finding. |
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| Keywords: | power electronics proof of chaos horseshoe map |
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