物理学报Issue(17)：1-11,11.DOI:10.7498/aps.63.170503
谷值V2控制Bo ost变换器的精确建模与动力学分析
Precise mo deling and dynamic characteristics of valley V2 controlled Bo ost converter
摘要
Abstract
A discrete iterative map model of valley V2 controlled Boost converter is established, based on which the bifurcation diagrams are obtained with the variation of input voltage, output capacitance and its equivalent series resistance (ESR). Jacobi matrix at a fixed point is also derived, and according to it, the converter stability is analyzed using characteristic values and maximum Lyapunov exponent, thus the correctness of bifurcation analysis is validated. The effect of input voltage, output capacitance and its ESR on the dynamic characteristics of valley V2 controlled Boost converter is mainly investigated. It is found that as the input voltage increases continuously, the valley V2 controlled Boost converter changes from continuous conduction mode (CCM) period-1 to CCM period-2 due to period-doubling bifurcation, and comes into CCM chaos due to border collision bifurcation. The converter has the same bifurcation routes at output capacitance and its ESR:with gradual reduction of output capacitance or its ESR, the valley V2 controlled Boost converter behaves the evolutive dynamic behavior from CCM period-1 to CCM period-2, CCM period-4, CCM period-8, and CCM chaos. Finally, the simulation and experimental circuits are set up, and the correctness of theoretical analysis is verified by simulation and experimental results.关键词
Boost变换器/谷值V2控制/雅可比矩阵/特征值Key words
Boost converter/valley V2 control/Jacobi matrix/characteristic value引用本文复制引用
何圣仲,周国华,许建平,吴松荣,阎铁生,张希..谷值V2控制Bo ost变换器的精确建模与动力学分析[J].物理学报,2014,(17):1-11,11.基金项目
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)和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 （批准号:51177140,61371033）
