摘要
针对直流降压变换器中电感和电容的分数阶特性,本文提出了一种基于分数阶模型的分数阶自抗扰控制方法。首先,采用状态空间法构建Buck变换器的分数阶模型,并利用绝对误差积分准则验证建模方法的准确性。其次,在分数阶模型的基础上,设计了分数阶扩张状态观测器对扰动进行估计和补偿,并提出了分数阶自抗扰控制器,然后给出了闭环系统的稳定性证明。最后,通过对两类功率不同的Buck变换器进行仿真和实验,验证了所提方法具有良好的电压跟踪性能与噪声抑制效果。
A fractional order active disturbance rejection control(FOADRC)method based on the fractional order model is proposed for the fractional order characteristics of inductors and capacitors in the DC⁃DC Buck converter.Firstly,the state space method is used for fractional modeling of DC⁃DC converters and the integral absolute error principle is applied to verify the accuracy of modeling method.Secondly,based on the fractional⁃order model,a fractional⁃order extended state observer is designed to estimate and compensate the disturbance and the FOADRC strategy is further proposed.Subsequently,the stability analysis of the closed⁃loop control system is given.Finally,the simulation and experimental results of two kinds of Buck converters with different power show that the proposed FOADRC method has a good voltage tracking performance and noise attenuation ability.
作者
张杰
李娟
王书旺
崔荣华
李生权
ZHANG Jie;LI Juan;WANG Shu-wang;CUI Rong-hua;LI Sheng-quan(College of Electrical,Energy and Power Engineering,Yangzhou University,Yangzhou 225127,China)
出处
《电工电能新技术》
CSCD
北大核心
2022年第8期33-40,共8页
Advanced Technology of Electrical Engineering and Energy
基金
国家自然科学基金(61903322)
新能源电力系统国家重点实验室开放课题(LAPS19003)
机械结构力学及控制国家重点实验室开放课题(MCMS-E-0520G01)
江苏省六大人才高峰项目(KTHY2018038)。
关键词
BUCK变换器
分数阶数学模型
分数阶自抗扰控制
分数阶扩张状态观测器
Buck converter
fractional order mathematical model
fractional order active disturbance rejection con⁃trol
fractional order extended state observer
