PT控制DCM Boost变换器的动力学建模与多周期分析  

Dynamic Modeling and Multiple Periodic Oscillation Behavior of PT-controlled DCM Boost Converter

作　　者：叶萍[1] YE Ping(Department of Electronic and Communications Engineering,Suzhou Institute of Industrial Technology,Suzhou 215104,China)

机构地区：[1]苏州工业职业技术学院电子与通信工程系,江苏苏州215104

出　　处：《苏州市职业大学学报》2018年第4期34-40,共7页Journal of Suzhou Vocational University

摘　　要：根据变换器载侧电容电荷的变化量导出一个开关周期内输出电压的变化量,并据此建立PT控制Boost变换器在DCM下的数学模型。基于离散迭代模型,研究输入电压和负载变化条件下变换器的多周期振荡现象。列举典型的高、低功率脉冲序列组合方式,并对周期1态和周期2态的运行轨迹进行了分析,构造其迭代映射曲线,阐述其不动点的稳定性,揭示了变换器的不同周期态是由边界碰撞分岔形成。结果表明,PT控制Boost变换器运行在DCM模式下,参数变化可诱发边界碰撞分岔和不同的周期态振荡,利用数值计算得到的李雅普诺夫指数小于零。By analyzing the charge variation of output capacitor during one switching cycle,the variation of output during each switching period is brought forth and the mathematical model for describing PT-controlled DCM Boost converter is obtained in this paper.The oscillation phenomena of multiple periods are analyzed by considering the variation of input voltage and load.And the dynamic behaviors of period-1 and period-2 trajectories are presented by revealing the high and low power pulse train combination.Also,the stability and border collision bifurcation mechanism are discovered to show that,along with the parameter variation,different period states are found and the switching between each period state are completed via border collision bifurcation and the Lypunove exponent is always less than zero.

关 键 词：脉冲序列控制 边界碰撞分岔 BOOST变换器 断续导电模式 多周期 

分 类 号：TM40[电气工程—电器]