平均电流控制Boost变换器的共存快慢时标不稳定现象研究

A Study on Coexisting Fast-scale and Slow-scale Instability in 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.

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 stability analysis based on the eigen value of Jacobin matrix is in good agreement with cycle-by-cycle simulation results. The study in this paper is of practical value to the loop design, parameter selection and stability margin estimation of average current controlled Boost converter.