平均电流控制Boost变换器的共存快慢时标不稳定现象研究

摘要

Due to the presence of switching elements, the operation of the switching converter contains a wealth of nonlinear phenomena, including bifurcation, chaos. The closed-loop stability characteristics of Boost converter under average current control is investigated based on the simplified discrete-time model using non-linear dynamics method. The boundary value of input voltages for stable operating regions is derived. The stabil-ity analysis based on the eigen value of Jacobin matrix is in good agreement with cycle-by-cycle simulation re-sults. The study in this paper is of practical value to the loop design, parameter selection and stability margin es-timation of average current controlled Boost converter.%　　由于开关元件的存在，开关变换器的运行中蕴含着丰富的非线性现象，包括分岔、混沌等。以平均电流控制的Boost变换器为研究对象，在简化的离散时间模型基础上，运用非线性动力学对其稳定性问题进行了探讨，得出了在不同负载电阻下输入电压的稳定边界值。基于雅可比矩阵特征值的稳定性分析和仿真结果吻合得较好。文章的研究对平均电流控制的Boost变换器在环路设计、参数选择和稳定裕量估计有一定的实用价值。