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Mathematical Problems in Engineering
Volume 2013, Article ID 907868, 9 pages
Research Article

Study on Nonlinear Phenomena in Buck-Boost Converter with Switched-Inductor Structure

School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China

Received 8 May 2013; Accepted 1 October 2013

Academic Editor: Moez Feki

Copyright © 2013 Hongchen Liu and Shuang Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The switched-inductor structure can be inserted into a traditional Buck-Boost converter to get a high voltage conversion ratio. Nonlinear phenomena may occur in this new converter, which might well lead the system to be unstable. In this paper, a discrete iterated mapping model is established when the new Buck-Boost converter is working at continuous conduction current-controlled mode. On the basis of the discrete model, the bifurcation diagrams and Poincare sections are drawn and then used to analyze the effects of the circuit parameters on the performances. It can be seen clearly that various kinds of nonlinear phenomena are easy to occur in this new converter, including period-doubling bifurcation, border collision bifurcation, tangent bifurcation, and intermittent chaos. Value range of the circuit parameters that may cause bifurcations and chaos are also discussed. Finally, the time-domain waveforms, phase portraits, and power spectrum are obtained by using Matlab/Simulink, which validates the theoretical analysis results.