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Analysis of weight Lempel-Ziv complexity in piecewise smooth systems of DC-DC switching converters

Xie Fan Yang Ru Zhang Bo

Analysis of weight Lempel-Ziv complexity in piecewise smooth systems of DC-DC switching converters

Xie Fan, Yang Ru, Zhang Bo
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  • Received Date:  13 August 2011
  • Accepted Date:  04 June 2012
  • Published Online:  05 June 2012

Analysis of weight Lempel-Ziv complexity in piecewise smooth systems of DC-DC switching converters

  • 1. School of Electric Power, South China University of Technology, Guangzhou 510640, China;
  • 2. School of Physics and Electronic Engineering, Guangzhou University, Guangzhou 510006, China
Fund Project:  Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. 50937001) and the National Natural Science Foundation of China (Grant No. 50777009).

Abstract: A novel concept of switching block is presented via detecting the switching behavior of each switching period in piecewise smooth system of DC-DC switching converter, and logical arithmetic method of computer is used to obtain decimal system from binary system, so complex degree of the system during one switching period is quantized as switching block and the symbolic time sequence of the piece smooth system is established. Weight Lempel-Ziv (L-Z) complexity is derived based on the L-Z complexity and the symbolic time sequence, and the qualitative analysis of nonlinear and complex degree in piecewise smooth system from symbolic time sequence with single variable is carried out. The motion rule and the dynamics structure of the whole system are revealed. Finally, The present current mode controlled buck converter is studied as an example to establish symbolic time sequence and to illustrate the applications of weight L-Z complexity.

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