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.
Highlights
The bifurcation and chaos phenomena appeared in power system have becoming a focus subject at present
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
Summary
The amplified error voltage compares with saw-tooth wave signal and produces variable duty cycle control pulse. In one switching period [nT , (n 1)T ] , the converter satisfies energy balance condition. Where Ein 、 ER 、 EL 、 Ec denote the energy supplied by input power, the energy consumed on resistance load, the storage energy in inductor and the storage energy in capacitor respectively in one switching period. In DCM converter, the inductor current always starts from zero, i.e., EL 0 , so the energy balance formula is.
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