基于IIR改进型的频率自适应重复控制  

Frequency Adaptive Repetitive Control Based on Improved IIR

作　　者：易映萍 张英伟 王聪 刘普 常忠廷 韩坤 YI Yingping;ZHANG Yingwei;WANG Cong;LIU Pu;CHANG Zhongting;HAN Kun(School of Mechanical Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China;Department of Electrical and Information Engineering,Zhengzhou University of Light Industry,Zhengzhou 450002,China;XJ Electric Co.,Ltd.,Xuchang 461000,China)

机构地区：[1]上海理工大学机械工程学院,上海200093 [2]郑州轻工业大学电气信息工程学院,河南郑州450002 [3]许继电气股份有限公司,河南许昌461000

出　　处：《控制工程》2025年第2期317-326,共10页Control Engineering of China

基　　金：河南省科技攻关基金项目(222102220089,212102210265);河南省重大科技专项项目(221100240500)。

摘　　要：重复控制为电力系统与清洁能源之间完成低谐波含量电能交互提供了一种有效的解决方案。但因重复控制固有的谐振峰特性,重复控制器的有效增益带宽较窄,跟踪精度受电网频率波动影响较大。新能源发电接入电力系统的工作频率一般在49.5~50.5Hz之间波动,使得基于重复控制算法的并网逆变器的稳态性能大幅下降。针对此问题,提出一种基于梯子形结构的Thiran滤波器分数阶重复控制策略,通过更新滤波器系数,动态改变重复控制内模延时来适应电网频率波动。仿真与实验结果验证了所提控制策略的频率自适应的有效性与准确性。Repetitive control provides an effective solution to accomplish low harmonic content electrical energy interaction between power systems and clean energy.Due to the inherent resonant peak characteristic of the repetitive control,the effective gain bandwidth of repetitive controller is narrow,and the tracking accuracy is greatly affected by the frequency fluctuation of the grid.The operating frequency of new energy generation connected to the power system generally fluctuates between 49.5~50.5 Hz,which greatly reduces the steady-state performance of grid-connected inverters based on repetitive control algorithms.To solve this problem,a fractional-order repetitive control strategy of Thiran filter based on ladder structure is proposed,which adapts to the grid frequency fluctuation by updating the filter coefficient and dynamically changing the internal mode delay of the repetitive control.The simulation and experimental results verify the effectiveness and accuracy of the frequency adaptation of the proposed repetitive control strategy based on the improved IIR filter.

关 键 词：重复控制 并网逆变器 Thiran滤波器 分数阶延迟 梯子形结构 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]