基于级联结构Thiran滤波器的分数阶双模重复控制

刘普; 王聪; 崔艺博; 常忠廷; 方洁

doi:10.19912/j.0254-0096.tynxb.2023-0388

PDF(4524 KB)

太阳能学报 ›› 2024, Vol. 45 ›› Issue (7) : 361-368. DOI: 10.19912/j.0254-0096.tynxb.2023-0388

基于级联结构Thiran滤波器的分数阶双模重复控制

刘普¹, 王聪¹, 崔艺博¹, 常忠廷², 方洁¹

作者信息 +

FRACTIONAL-ORDER DUAL-MODE REPETITIVE CONTROL BASED ON CASCADED STRUCTURE THIRAN FILTER

Liu Pu¹, Wang Cong¹, Cui Yibo¹, Chang Zhongting², Fang Jie¹

Author information +

文章历史 +

摘要

针对双模重复控制器在电网频率波动时稳态误差大的问题,提出一种基于级联结构Thiran算法的无限脉冲响应滤波器（infinite impulse response filter,IIR）来逼近分数延迟环节,提高系统的稳态跟踪精度。该文采用一种由连分式推导得来的级联结构替代以往实现Thiran算法的直接结构,所设计的级联结构Thiran算法用于IIR滤波器中能在线调整滤波器参数,且相较于以往的直接结构,级联结构每个“积木块”的功能仅用两个乘法器就可实现,简化了参数设计,便于应用推广。基于分数阶双模重复控制器,并采用比例-双模重复控制复合的电流控制策略,控制逆变器输出高质量的并网电流。最后,通过仿真与实验结果验证所提策略的准确性及有效性。

Abstract

Aiming at the problem of large steady-state error of dual-mode repetitive control in grid frequency fluctuations, an improved infinite impulse response （IIR） filter based on Thiran algorithm of cascaded structure is proposed. This improved IIR filter can effectively approximate the fractional delay link and improve the steady-state tracking accuracy of the system. In this paper, a cascade structure derived from the continued fraction is used to replace the direct structure of the previous implementation of the Thiran algorithm. Moreover, the designed cascade structure Thiran algorithm can be used in the IIR filter to adjust the filter parameters online, and compared with the previous direct structure, each block of the cascade structure can be implemented with two multipliers, which simplifies the parameter design and facilitates the application and promotion. Based on the fractional-order dual-mode repetitive controller （FO-DMRC）, and using the current control strategy of proportional and FO-DMRC combination, the inverter is controlled to output high-quality grid-connected current. Finally, simulation and experimental results verify the accuracy and effectiveness of the proposed strategy.

导出引用

刘普, 王聪, 崔艺博, 常忠廷, 方洁. 基于级联结构Thiran滤波器的分数阶双模重复控制[J]. 太阳能学报. 2024, 45(7): 361-368 https://doi.org/10.19912/j.0254-0096.tynxb.2023-0388

Liu Pu, Wang Cong, Cui Yibo, Chang Zhongting, Fang Jie. FRACTIONAL-ORDER DUAL-MODE REPETITIVE CONTROL BASED ON CASCADED STRUCTURE THIRAN FILTER[J]. Acta Energiae Solaris Sinica. 2024, 45(7): 361-368 https://doi.org/10.19912/j.0254-0096.tynxb.2023-0388

中图分类号： TM464

参考文献

[1] 赵强松, 陈莎莎, 周晓宇, 等. 用于并网逆变器谐波抑制的重复-比例复合控制器分析与设计[J]. 电工技术学报, 2019, 34(24): 5189-5198.
ZHAO Q S, CHEN S S, ZHOU X Y, et al.Analysis and design of combination controller based on repetitive control and proportional control for harmonics suppression of grid-tied inverters[J]. Transactions of China Electrotechnical Society, 2019, 34(24): 5189-5198.
[2] 宋国杰, 李国进, 杨浩, 等. 基于d-q坐标系下LCL型光伏并网逆变器的PI+状态反馈控制[J]. 太阳能学报, 2020, 41(11): 135-142.
SONG G J, LI G J, YANG H, et al.PI+state feedback controller of single-phase LCL PV grid-connected inverter based on d-q coordinate system[J]. Acta energiae solaris sinica, 2020, 41(11): 135-142.
[3] 解宝, 周林, 马卫, 等. 光伏并网逆变器的高增益数字PI控制器设计[J]. 太阳能学报, 2019, 40(9): 2586-2593.
XIE B, ZHOU L, MA W, et al.Design of high gain digital pi controller for pv grid-connected inverter[J]. Acta energiae solaris sinica, 2019, 40(9): 2586-2593.
[4] 周林, 冯玉, 郭珂, 等. 单相光伏并网逆变器建模与控制技术研究[J]. 太阳能学报, 2012, 33(3): 485-493.
ZHOU L, FENG Y, GUO K, et al.Research on modeling and control strategy for single-phase photovoltaic grid-connected inverter[J]. Acta energiae solaris sinica, 2012, 33(3): 485-493.
[5] 康劲松, 夏伟, 杨纯义. 拉格朗日插值法光伏并网逆变器无差拍控制[J]. 太阳能学报, 2017, 38(3): 751-757.
KANG J S, XIA W, YANG C Y.PV grid-connected inverter deadbeat control based on Lagrange polynomial[J]. Acta energiae solaris sinica, 2017, 38(3): 751-757.
[6] 韩金刚, 朱瑞林, 汤天浩, 等. LCL型并网逆变器并网电流复合控制研究[J]. 太阳能学报, 2014, 35(9): 1599-1606.
HAN J G, ZHU R L, TANG T H, et al.Research on compound current control for grid-connected inverter with LCL filter[J]. Acta energiae solaris sinica, 2014, 35(9): 1599-1606.
[7] 邹志翔, 王政, 程明, 等. 双模结构重复控制器在单相并联有源滤波器中的应用[J]. 中国电机工程学报, 2013, 33(36): 88-95, 13.
ZOU Z X, WANG Z, CHENG M, et al.A hybrid current regulation scheme for single-phase active power filters based on dual-mode structure repetitive control[J]. Proceedings of the CSEE, 2013, 33(36): 88-95, 13.
[8] 江法洋, 郑丽君, 宋建成, 等. LCL型并网逆变器重复双闭环控制方法[J]. 中国电机工程学报, 2017, 37(10): 2944-2954.
JIANG F Y, ZHENG L J, SONG J C, et al.Repetitive-based dual closed-loop control approach for grid-connected inverters with LCL filters[J]. Proceedings of the CSEE, 2017, 37(10): 2944-2954.
[9] 陈磊, 季亮, 杨兴武, 等. LCL型并网逆变器新型频率自适应重复控制方法[J]. 电力系统保护与控制, 2017, 45(23): 57-64.
CHEN L, JI L, YANG X W, et al.A new frequency adaptive repetitive control approach for grid-connected inverter with LCL filter[J]. Power system protection and control, 2017, 45(23): 57-64.
[10] CUI P L, ZHANG G X, LIU Z Y, et al.A second-order dual mode repetitive control for magnetically suspended rotor[J]. IEEE transactions on industrial electronics, 2020, 67(6): 4946-4956.
[11] 竺明哲, 叶永强, 赵强松, 等. 抗电网频率波动的重复控制参数设计方法[J]. 中国电机工程学报, 2016, 36(14): 3857-3868.
ZHU M Z, YE Y Q, ZHAO Q S, et al.A design method of repetitive controller against variation of grid frequency[J]. Proceedings of the CSEE, 2016, 36(14): 3857-3868.
[12] 陈东, 张军明, 钱照明. 一种具有频率变化适应性的并网逆变器改进型重复控制方法[J]. 电工技术学报, 2014, 29(6): 64-70.
CHEN D, ZHANG J M, QIAN Z M.An improved repetitive control scheme for grid-connected inverter with frequency-varying adaptability[J]. Transactions of China Electrotechnical Society, 2014, 29(6): 64-70.
[13] 李伟锋, 陆小辉, 陈赛男, 等. 新型频率自适应复合重复控制及并网逆变器应用[J]. 电力系统保护与控制, 2020, 48(6): 10-17.
LI W F, LU X H, CHEN S N, et al.Improved frequency adaptive compound RC scheme for grid-connected inverter[J]. Power system protection and control, 2020, 48(6): 10-17.
[14] ZHU M Z, YE Y Q, XIONG Y K, et al.Parameter robustness improvement for repetitive control in grid-tied inverters using an IIR filter[J]. IEEE transactions on power electronics, 2021, 36(7): 8454-8463.
[15] YE J, LIU L G, XU J B, et al.Frequency adaptive proportional-repetitive control for grid-connected inverters[J]. IEEE transactions on industrial electronics, 2021, 68(9): 7965-7974.
[16] 唐雨. 用于LCL型并网逆变器谐波抑制的重复控制策略研究[D]. 西安: 西安理工大学, 2020.
TANG Y.Study on repetitive control strategy for harmonic suppression of LCL Grid-connected Inverter[D]. Xi'an: Xi'an University of Technology, 2020.
[17] LAAKSO T I, VALIMAKI V, KARJALAINEN M, et al.Splitting the unit delay FIR/all pass filters design[J]. IEEE signal processing magazine, 1996, 13(1): 30-60.
[18] OLDS C D.Continued fractions[M]. Washington D.C: The Mathematical Association of America, 1963.
[19] 王仁宏, 朱功勤. 有理函数逼近及其应用[M]. 北京: 科学出版社, 2004.
WANG R H, ZHU G Q.Rational function approximation and its application[M]. Beijing: Science Press, 2004.
[20] ABRAMOWITZ M, STEGUN I A.Handbook of mathematical functions[M]. New York: Dover Publications, 1972.
[21] ZHOU K L, WANG D W, ZHANG B, et al.Plug-in dual-mode-structure repetitive controller for CVCF PWM inverters[J]. IEEE transactions on industrial electronics, 2009, 56(3): 784-791.
[22] ZHOU K L, WANG D W, ZHANG B, et al.Dual-mode structure digital repetitive control[J]. Automatica, 2007, 43(3): 546-554.