Anti-Windup Strategy of Repetitive Controller for Three-Phase Four-Leg Grid-Tied Inverter
Tan Cuilan1,2, Xing Yanyi1, Chen Qihong1, Zhang Liyan1
1. School of Automation Wuhan University of Technology Wuhan 430070 China; 2. School of Physics and Information Engineering Jianghan University Wuhan 430056 China
Abstract:Repetitive controller based on internal model principle is widely used in the new energy grid-connected converters. However, due to the limitations of power switch and DC voltage, the repetitive controller is prone to windup which affects the quality of power supply seriously. In order to improve the current quality of the three-phase four-leg grid-tied inverter injected to the grid, the anti-windup strategy is researched based on the MRAW(model recovery anti-windup) theory. Firstly, integral controller based on repetitive control is designed. Secondly, anti-windup compensator of repetitive control is designed based on the plant model to compensate the control and output feedback respectively. The saturation deviation of the control variable is introduced to compensate for the control variable, and the coefficient of the deviation is optimized by the linear quadratic optimal control method. Finally, simulation and experimental results validate that the proposed method of the anti-windup compensator can improve the system performance on dynamic and steady state saturation.
[1] 屈克庆, 李文旗, 叶天凯, 等. 基于状态反馈的 LCL 型逆变器解耦控制策略[J]. 电工技术学报, 2016, 31(20): 130-138. Qu Keqing, Li Wenqi, Ye Tiankai, et al.State feedback based decoupling control strategy for grid-connected inverter with LCL filter[J]. Transactions of China Electrotechnical Society, 2016, 31(20): 130-138. [2] 胡伟, 孙志毅, 刘立群, 等. 三相并网逆变器准比例谐振控制仿真研究[J]. 电气技术, 2015, 16(8): 25-28, 44. Hu Wei, Sun Zhiyi, Liu Liqun, et al.The research on the control method of the three-phase photovoltaic grid-connected inverter based on Quasi-PR control[J]. Electrical Engineering, 2015, 16(8): 25-28, 44. [3] 杨捷, 顾冬冬, 孙明浩, 等. 三相光伏并网逆变器多目标优化模型预测控制[J]. 电力系统保护与控制, 2016, 44(15): 112-119. Yang Jie, Gu Dongdong, Sun Minghao, et al.Multi-objective optimization model-predictive control of PV grid-connected inverters[J]. Power System Protection and Control, 2016, 44(15): 112-119. [4] 黄媛, 罗安, 王逸超. 一种无谐波检测的三相并网逆变器谐波灵活控制方法[J]. 电工技术学报, 2016, 31(24): 213-222. Huang Yuan, Luo An, Wang Yichao.A flexible harmonic control method for three-phase grid-connected inverter without harmonic detection[J]. Transactions of China Electrotechnical Society, 2016, 31(24): 213-222. [5] 周林, 解宝, 郑晨, 等. 单相并网LCL型逆变器的改进设计方案[J]. 电工技术学报, 2017, 32(18): 211-219. Zhou Lin, Xie Bao, Zheng Chen, et al.A new design of single-phase grid-connected LCL type filter inverter[J]. Transactions of China Electrotechnical Society, 2017, 32(18): 211-219. [6] Zhou Keliang, Wang Danwei, Yang Yongheng, et al.Periodic control of power electronic converters[M]. London: CPI Group(UK), 2017. [7] 张学广, 马彦, 李瑞, 等. 两相静止坐标系下并网逆变器的重复控制策略[J]. 电工技术学报, 2016, 31(9): 85-91. Zhang Xueguang, Ma Yan, Li Rui, et al.Repetitive control strategy for grid-connected converters in stationary frame[J]. Transactions of China Electrotechnical Society, 2016, 31(9): 85-91. [8] 姜一鸣, 姚俊涛, 刘飞, 等. 考虑电网频率偏差的并网逆变器多内模重复控制[J]. 电力系统保护与控制, 2016, 44(21): 144-149. Jiang Yiming, Yao Juntao, Liu Fei, et al.A multi-internal-model repetitive control for grid-connected inverter considering grid-frequency deviation[J]. Power System Protection and Control, 2016, 44(21): 144-149. [9] 卢闻州, 周克亮, 程明, 等. PWM并网变换器多内模并联结构重复控制策略[J]. 电力系统保护与控制, 2016, 44(15): 39-47. Lu Wenzhou, Zhou Keliang, Cheng Ming, et al.Parallel structure repetitive controller for PWM grid-connected converters[J]. Power System Protection and Control, 2016, 44(15): 39-47. [10] 杨锦. 数字PID控制中的积分饱和问题[J]. 华电技术, 2008, 30(6): 64-67. Yang Jin.Integral saturation in digital PID control[J]. Huadian Technology, 2008, 30(6): 64-67. [11] Galeani S, Tarbouriech S, Turner M, et al.A tutorial on modern anti-windup design[J]. European Journal of Control, 2009, 15(3-4): 418-440. [12] Ryu Y S, Longman R W.Use of anti-reset windup in integral control based learning and repetitive control[C]//Proceedings of IEEE International Conference on Systems, Man and Cybernetics, San Antonio, USA, 1994, 3: 2617-2622. [13] Sbarbaro D, Tomizuka M, Barra B L D L. Repetitive control system under actuator saturation and windup prevention[J]. Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME, 2009, 131(4): 1-8. [14] Flores J V, Gomes Da S J. J M. Anti-windup design with guaranteed stability regions for resonant and repetitive controllers[C]//The 5th IFAC Symposium on System Structure and Control, Grenoble, France, 2013: 935-940. [15] Ramos G A, Costa-Castello R.Optimal anti-windup synthesis for repetitive controllers[J]. Journal of Process Control, 2013, 23(8): 1149-1158. [16] 王吉彪, 陈启宏, 刘莉, 等. 面向微电网三相电压不平衡补偿的逆变器并网控制[J]. 电力系统自动化, 2017, 41(8): 38-44. Wang Jibiao, Chen Qihong, Liu Li, et al.Grid-connected control for inverters oriented to microgrid with unbalance compensation for three-phase voltage[J]. Automation of Electric Power Systems, 2017, 41(8): 38-44. [17] 王禹玺, 刘秦维, 刘伟, 等. 一种加权式并联型重复控制的研究[J]. 电工技术学报, 2015, 29(8): 127-134. Wang Yuxi, Liu Qinwei, Liu Wei, et al.Study of weighted parallel-type repetitive control[J]. Transactions of China Electrotechnical Society, 2015, 29(8): 127-134. [18] Yang Yunhu, Zhou Keliang, Cheng Ming, et al.Phase compensation multiresonant control of CVCF PWM converters[J]. IEEE Transactions on Power Electronics, 2013, 28(8): 3923-3930. [19] Lu Wenzhou, Zhou Keliang, Cheng Ming, et al.Parallel structure general repetitive controller for general grid-connected PWM converters[J]. IET Power Electronics, 2017, 10(3): 338-347. [20] Richter S A, Doncker R W D. Digital proportional-resonant (PR) control with anti-windup applied to a voltage-source inverter[C]//Proceedings of the 2011 14th European Conference on Power Electronics and Applications, Birmingham, UK, 2011: 1-10. [21] 俞立. 现代控制理论[M]. 1版. 北京: 清华大学出版社, 2016: 184-202.