基于微分平坦理论的高增益Boost变换器建模与设计  

Modeling and Design of High Gain Boost Converter Based on Differential Flatness Theory

作　　者：阎昌国 王会雄 YAN Chang-guo;WANG Hui-xiong(School of Engineering,Zunyi Normal University,Zunyi 563006,China;School of Intelligent Manufacturing,Nanning University,Nanning 530200,China)

机构地区：[1]遵义师范学院工学院,贵州遵义563006 [2]南宁学院智能制造学院,广西南宁530200

出　　处：《遵义师范学院学报》2025年第2期70-74,共5页Journal of Zunyi Normal University

基　　金：贵州省高等学校教学内容和课程体系改革项目(GZJG2023275);教育部产学合作协同育人项目(231002405095659);遵义市科技计划项目(遵市科合HZ字(2023)162号);2025年度广西高校中青年教师科研基础能力提升项目(2025KY1216)。

摘　　要：高增益DC-DC变换器作为前级可再生能源与后级逆变系统的接口装置,在光伏、风力与燃料电池等新能源发电系统中扮演着重要的角色。针对传统PI控制下高增益Boost变换器受外界干扰时输出波动大、恢复时间长的问题,文章基于微分平坦理论,以一款交错式的高增益Boost变换器电路为研究对象,通过选取输出电容能量作为电压外环的输出变量、开关管占空比作为电流内环的控制变量,提出了一种高增益变换器的建模与设计方案。首先,在连续导电模式下,分析了变换器的工作原理,建立了变换器的状态空间模型;其次,运用李雅普诺夫定理,通过微分平坦坐标变换,获得了平坦控制规律的数学模型,完成了电压外环和电流内环的设计;最后,搭建了一个仿真实验系统,验证了理论分析的正确性。As the interface device of pre-renewable energy and post-inverter system, high gain DC-DC converter plays an important rolein photovoltaic, wind and fuel cell and other new energy power generation systems. Faced with the problemof large output fluctuationand long recovery time when the high-gain Boost converter subjected to external disturbances under the traditional PI control, and basedon the Differential Flatness theory, an interleaved high-gain Boost converter circuit is taken as the object of study. The output capacitanceenergy is selected as the output variable of the voltage outer loop, while the switching tube duty cycle is taken as the control variable ofthe current inner loop, so as to put forward a modeling and design of a high-gain converter. Firstly, the operating principle of the converteris analyzed in the continuous conducting mode, and the state-space model of the converter is established. Then, Lyapunov theorem isapplied to obtain the mathematical model of the flat control lawby differential flat coordinate transformation to design the voltage outerloop and the current inner loop. Finally, a simulation experimental systemis constructed to verify the correctness of the theoretical analysis.

关 键 词：高增益 BOOST变换器 微分平坦理论 建模 

分 类 号：TM46[电气工程—电器]