基于共同二次Lyapunov函数的频率可控的Boost变换器切换律  

Frequency-controllable Switching Law for Boost Converter Based on Common Quadratic Lyapunov Function

作　　者：李思琪 张波[1] 张伟悦 LI Siqi;ZHANG Bo;ZHANG Weiyue(School of Electric Power Engineering,South China University of Technology,Guangzhou 510640,China)

机构地区：[1]华南理工大学电力学院,广州510640

出　　处：《电源学报》2024年第5期100-108,共9页Journal of Power Supply

基　　金：国家自然科学基金智能电网联合基金资助项目(U2166601)。

摘　　要：针对最小型切换律开关频率过高难以应用于工程实际的问题,建立了Boost变换器CCM运行的切换系统模型,基于共同二次Lyapunov函数提出1种新的切换律。根据切换律的数学表达式,分析变换器的稳态性能及动态性能,描述该切换律对变换器开关频率的调节机制。仿真及实验表明,在该切换律的作用下,Boost变换器开关频率可控,不会出现切换系统特有的芝诺行为,且与现有控制策略相比,变换器的动态性能好,在受到外部扰动时电压波动更小,调节时间更短。Aimed at the problem that the switching frequency under the min-type switching law is too high to be applied in engineering practice,a switched system model of Boost converter operating in continuous conduction mode(CCM)is established,and a novel switching law based on common quadratic Lyapunov function is proposed.According to the mathematical expression of the switching law,the steady-state and dynamic performances of the converter are analyzed,and the regulation mechanism of the converter’s switching frequency under the switching law is described.Simulation and experimental results show that under the proposed switching law,the Boost converter’s switching frequency is controllable and the Zeno behavior which is specific to a switched system would not occur.Compared with those under the existing control strategies,the converter under the proposed strategy has a good dynamic performance,with fewer voltage fluctuations and a shorter settling time when suffering external disturbances.

关 键 词：切换律 共同二次Lyapunov函数 开关频率 BOOST变换器 

分 类 号：TM46[电气工程—电器]