Study on Bifurcation and Chaos in Boost Converter Based on Energy Balance Model

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DOI: 10.4236/epe.2009.11006    5,938 Downloads   10,441 Views  Citations

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ABSTRACT

Based on boost converter operating in discontinuous mode, this paper proposes an energy balance model (EBM) for analyzing bifurcation and chaos phenomena of capacitor energy and output voltage when the converter parameter is varying. It is found that the capacitor energy and output voltage dynamic behaviors exhibit the typical period-doubling route to chaos by increasing the feedback gain constant K of proportional controller. The accurate position of the first bifurcation point and the iterative diagram of the capacitor energy with every K can be derived from EBM. Finally, the underlying causes for bifurcations and chaos of a general class of nonlinear systems such as power converters are analyzed from the energy balance viewpoint. Com-paring with the discrete iterative model, EBM is simple and high accuracy. This model can be easily devel-oped on the nonlinear study of the other converters.

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Q. NIU and Z. JU, "Study on Bifurcation and Chaos in Boost Converter Based on Energy Balance Model," Energy and Power Engineering, Vol. 1 No. 1, 2009, pp. 38-43. doi: 10.4236/epe.2009.11006.

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