中文摘要：

为进一步研究交错并联boost变换器中的非线性现象及电路参数对其稳定性的影响，对其分岔和混沌行为进行深入的研究。首先根据离散时间映射法建立变换器的离散迭代映射模型，然后采用分岔图和时域图的方法描述其动力学行为，研究了电路参数对变换器稳定性的影响。研究结果表明，随着电压反馈增益的增大，变换器电感电流出现正弦次谐波振荡，系统出现分岔现象，并最终趋于混沌运动状态。最后通过实验验证了理论分析的正确性。

英文摘要：

In order to investigate the nonlinear phenomena and the effects of the circuit parameters on the nonlinear behavior of the interleaved boost converter, the bifurcation and chaos phenomena of an interleaved boost converter was studied. The discrete iterative map model of the converter is de-rived by using the method of discrete time map. Computer simulations such as bifurcation diagrams and time-domain waveforms were performed to capture the effects of variation of some parameters on the stability behavior of the system. The results show that variation of the voltage feedback gains leads to bifurcation. Research of the time domain waveforms and phase portraits show that the sine-type sub-harmonic oscillation exists in the inductor current when the voltage feedback gains vary. The experiment results agree with the theoretical analysis.