Summary

2007 International Symposium on Nonlinear Theory and its Applications

2007

Session Number:18AM1-D

Session:

Number:18AM1-D-2

Bifurcation of Simple Switched Dynamical Systems based on Power Converters

Yasuhide Ishige,  Yuki Ishikawa,  Toshimichi Saito,  

pp.156-159

Publication Date:2007/9/16

Online ISSN:2188-5079

DOI:10.34385/proc.41.18AM1-D-2

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Summary:
This paper studies nonlinear dynamics of basic dc-dc and ac-dc converters in current mode control. In order to avoid the model becoming too complex, we make the simplifying assumption that voltage regulation is achieved in high frequency modulation and the much slower dynamics of output side can be represented by a constant voltage source. Under this assumption we can derive the 1D return map that describes switching phase of the converters. The map enables us to analyze the dynamics precisely. Typical periodic/chaotic phenomena and related bifurcation phenomena are demonstrated.