不同调制模式下Boost变换器DCM模态的能量模型与稳定性分析

给出了Boost变换器断续工作模态(discontinuous conduction mode, DCM)下的能量模型，通过比较基于脉冲宽度调制(pulse width modulation, PWM)模式下能量模型所得到的变换器的输出电压值与参考文献中的结果，证明了此能量模型的正确性。同时，基于PWM和脉冲跨周调制(pulse skip modulation, PSM)模式下的能量模型，分析了不同调制模式下变换器的稳定性。理论分析与仿真结果表明，PWM变换器在反馈电压误差放大因子KEA较大的时候会出现分岔和混沌现象，DCM模态下的PSM变换器在不同的调制度M下也会出现分岔现象，但不会出现混沌现象。文中还给出了PSM变换器倍二分岔的边界条件。

Energy Models and Stability Analysis of Boost Converters in DCM for Different Modulation Modes

The Energy Model of a Boost converter in DCM (discontinuous conduction mode) is proposed in this paper. Comparing the output voltage of the converter based on the presented energy model and those in reference papers, it is proved that the energy model is correct. The stabilities of PWM (pulse width modulation) and PSM(pulse skip modulation) converters are also analyzed based on their energy models. According to the deduction and simulation, it is shown that bifurcations and chaos will be happened for a PWM converter when the proportional factor of the output voltage error is too large. However, although bifurcations will also be happened for a PSM converter with different M in DCM, chaos will be never occurred for it. Moreover, the boundary conditions of period-2 bifurcation are also given in this paper.