关键词: 分数阶, 建模, Buck变换器, 混沌控制, 分岔, 相图

Abstract:

Based on the Fractional facts of inductance and capacitance in Matlab/Simulink,this paper establishes a mathematical simulation model of the fractional order Buck converter and the corresponding circuit simulation model.The correctness of the model is verified.Based on the fractional order of the mathematic simulation model,we study the literature researches,which are rare,on the reference voltage as the control variables of the chaos.We also draw the phase diagram and the corresponding bifurcation diagram of the Buck converter variable VI chaos with the reference voltage as the chaos variable.It is shown that a smaller reference voltage is more likely to cause the chaotic state of the Buck converter.Finally the parameter interference method is used to control the chaos.And a new bifurcation diagram is obtained,which constitutes a sharp contrast with the one before the chaos is controlled.By selecting a given reference voltage value and analyzing the time domain waveform diagrams of the induced current before and after the chaos is controlled,the control algorithm is shown to be effective.

Key words: fractional;modeling;Buck converters;chaos control;bifurcation;phase diagram