谷值V~2控制Boost变换器的精确建模与动力学分析

发布时间：2018-04-23 23:00

本文选题：Boost变换器 + 谷值V控制　；参考：《物理学报》2014年17期

【摘要】：建立了谷值V2控制Boost变换器的离散迭代映射模型,在此基础上得到了输入电压、输出电容及其等效串联电阻(equivalent series resistance,ESR)变化时的分岔图,推导了不动点处的雅可比矩阵,利用特征值和最大Lyapunov指数对系统进行了稳定性分析,并验证了分岔图的正确性.重点研究了输入电压和输出电容及其ESR对谷值V2控制Boost变换器的动力学特性的影响.研究结果表明,输入电压增大时,变换器从周期1态经历1次倍周期分岔和边界碰撞分岔进入混沌状态;输出电容及其ESR具有相同的分岔路由,随着输出电容及其ESR的逐渐减小,变换器具有从周期1态经历周期2态、周期4态、周期8态、逐渐演变到混沌态的动力学行为.最后,用仿真和实验结果验证了本文理论分析的正确性.
[Abstract]:The discrete iterative mapping model of V2 controlled Boost converter is established. On this basis, the bifurcation diagram of input voltage, output capacitance and its equivalent series resistor is obtained, and the Jacobian matrix at fixed point is derived. The stability of the system is analyzed by using the eigenvalue and the maximum Lyapunov exponent, and the correctness of the bifurcation diagram is verified. The effects of input voltage, output capacitance and their ESR on the dynamic characteristics of V2 controlled Boost converters are studied. The results show that when the input voltage increases, the converter goes through a period doubling bifurcation and a boundary collision bifurcation from the period 1 state into a chaotic state, and the output capacitance and its ESR have the same bifurcation routing. With the decrease of output capacitance and its ESR, the converter has the dynamic behavior of experiencing period 2 state, period 4 state and period 8 state from period 1 state to chaotic state. Finally, the correctness of the theoretical analysis is verified by simulation and experimental results.
【作者单位】：西南交通大学电气工程学院;
【基金】：国家自然科学基金(批准号:51177140,61371033) 高等学校博士学科点专项科研基金(批准号:20130184120011) 四川省青年科技基金(批准号:2014JQ0015) 霍英东教育基金会高等院校青年教师基金(批准号:142027)资助的课题~~
【分类号】：TM46

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