中文摘要：

由于电压控制升压变换器的传统平均模型中没有包含开关频率,从而无法分析开关频率的大小对电压控制升压变换器中Hopf分岔的影响.通过建立电压控制升压变换器的含有开关频率的改进平均模型,分析了开关频率对电压控制升压变换器中Hopf分岔的影响,并设计硬件电路,给出电路试验结果.研究表明：采用电压控制升压变换器的改进平均模型,可以有效地分析不同开关频率对电压控制升压变换器中Hopf分岔的影响;随着开关频率的减小,电压控制升压变换器更易于发生Hopf分岔.

英文摘要：

Due to the absence of the switching frequency in the conventional average model of the voltage-controlled boost converter, this model cannot be used to analyze the influence of the switching frequency on the Hopf bifurcation in the voltage-controlled boost converter. In this paper, the influence of the switching frequency on the Hopf bifurcation in the voltage-controlled boost converter is analyzed by establishing the improved averaged model, which contains the switching frequency. The circuit is designed, and some typical experimental results are given. It is found that it is effective to use the improved average model to analyze the influence of the switching frequency on the Hopf bifurcation in the voltage-controlled boost converter and the Hopf bifurcation is easy to occur when the switching frequency of the voltage-controlled boost converter decreases.