分数阶Buck变换器的混沌分析与控制

基于电感与电容的分数阶事实,在Matlab/Simulink下建立了电压控制型Buck变换器的分数阶数学仿真模型及对应的电路仿真模型,分析验证了模型的正确性。基于建立的分数阶数学仿真模型,少有文献研究的以参考电压作为混沌控制变量的Buck变换器混沌行为,绘制了以参考电压为混沌变量的Buck变换器V-I混沌相图与对应的分岔图,得出较小的参考电压易引起Buck变换器进入混沌状态。最后,采用参数扰动法实现了混沌控制,得到了新的分岔图,与混沌控制前的分岔图形成了鲜明的对比。同时,通过选定特定的参考电压值,经分析混沌控制前后电感电流的时域波形图,验证了该控制算法的有效性。

Chaotic Analysis and Control of Fractional Order Buck Converter

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.