Quantifying the Complexity of DC–DC Switching Converters by Joint Entropy

Author

Fan Xie ; Bo Zhang ; Ru Yang ; Dongyuan Qiu

Author_Institution

Sch. of Electr. Power, South China Univ. of Technol., Guangzhou, China

Volume

61

Issue

8

fYear

2014

fDate

Aug. 2014

Firstpage

579

Lastpage

583

Abstract

Joint entropy is used to quantify the complex nonlinear states of dc-dc switching converters in this brief. The switching instant symbolic sequence (SISS) and the topological structural symbolic sequence (TSSS) are presented based on the characteristics of dc-dc converters. Transforming SISS and TSSS into the decimal symbolic sequences, joint entropy is obtained as the index to quantify the nonlinearity of the dc-dc converter. Finally, a Ćuk converter is studied as an example to explain how the joint entropy can quantify the complex state of the dc-dc switching converter.

Keywords

DC-DC power convertors; entropy; switching convertors; Cuk converter; DC-DC switching converter; SISS; TSSS; decimal symbolic sequence; joint entropy; switching instant symbolic sequence; topological structural symbolic sequence; Bifurcation; Complexity theory; Entropy; Joints; Orbits; Switches; Switching converters; Bifurcation; chaotic state; complexity; dc??dc switching converters; joint entropy;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2014.2327393

Filename

6823177