可编程交流电源的分数阶多重复控制技术研究  

Fractional-order Multi-repetitive Control of Programmable AC Power Sources

作　　者：杨鸿宇 周克亮 唐超 柯浩雄 YANG Hongyu;ZHOU Keliang;TANG Chao;KE Haoxiong(School of Automation Wuhan University of Technology,Wuhan 430070,China)

机构地区：[1]武汉理工大学自动化学院,湖北武汉430070

出　　处：《智慧电力》2023年第9期74-80,共7页Smart Power

基　　金：国家自然科学基金资助项目(51977163)。

摘　　要：为了解决多重复控制器精确跟踪多周期信号的难题,针对可编程交流电源提出了一种简单高性能的分数阶多重复控制(MRC)策略,使之能快、准、稳地产生所需的含多个基波频率的多周期性电压信号,用于工业产品测试等用途。首先提出一种由多重复控制器与状态反馈控制器优势互补组合而成的MRC方案及其分析与设计方法,其中包括重复控制器的增益稳定判据以及整定规则。然后,为克服常规数字多重复控制器无法精准调节多周期信号的不足,提出了将多重复控制器分数阶化的解决方案。最后,在1台可用于可编程交流电源的单相逆变器上进行了实验,实验结果验证了所提控制方案的有效性。To solve the problem of precise tracking of multi-cycle signals by multiple repetitive controllers,a simple and high-performance fractional-order multi-repetitive control(MRC)method is proposed for programmable AC power sources to produce desired multi-frequency periodic voltages.Firstly,the MRC scheme is proposed,which complementarily comprises of MRC controller and state feedback controller.The analysis and design method for the proposed MRC scheme is developed,which includes the gain stability criterion and tuning rule.Furthermore,the MRC controller is transformed into fractional-order one in order to overcome the deficiency of conventional digital MRC which can not accurately adjust multi-period signal.Finally,experiments are carried out on a single-phase inverter that can be used for programmable AC power sources,and the results verify the effectiveness of the proposed control scheme.

关 键 词：分数阶 增益调节 逆变器 重复控制 稳定性准则 

分 类 号：TM464[电气工程—电器]