并联有源滤波器终端滑模变结构控制策略研究
Research on Terminal Sliding Mode Variable Structure Control Strategy of Shunt Active Power Filter
摘要: 针对三相三线并联型有源电力滤波器谐波电流跟踪环节动态响应慢、鲁棒性差、跟踪精度不高的问题,提出了一种并联型有源电力滤波器指数型快速终端滑模变结构控制策略,解决了传统有源电力滤波器滑模控制器设计结构复杂及抖振问题。在分析数学模型的基础上,设计了指数型非线性滑动模态超曲面和控制率,证明滑模控制的可达性。该控制策略能够实现系统的全局渐近稳定性,并能使系统的状态变量在有限时间内快速收敛到平衡点,同时对系统的时变不确定部分也有较强的鲁棒性。仿真结果表明该控制策略动态响应速度更快,鲁棒性更强和控制精度更高。
Abstract: Aiming at the problems of slow dynamic response, poor robustness and low tracking accuracy of harmonic current tracking link of three-phase three-wire shunt active power filter, a sliding mode variable structure control strategy for exponential fast terminal of shunt active power filter is proposed, and the complex structure and chattering problem of the traditional active power filter sliding mode controller are solved. Based on the analysis of mathematical model, the exponential nonlinear sliding mode hypersurface and control rate are designed, proving the reachability of sliding mode control. The control strategy can achieve global asymptotic stability of the system, and it can make the state variables of the system converge to the equilibrium point in finite time; at the same time, it has strong robustness to the time-varying uncertain part of the system. The simulation results show that the control strategy has faster dynamic response speed, stronger ro-bustness and higher control accuracy.
文章引用:高圣伟, 亚志政, 许煜. 并联有源滤波器终端滑模变结构控制策略研究[J]. 电气工程, 2020, 8(1): 18-27. https://doi.org/10.12677/JEE.2020.81003

参考文献

[1] 王兆安, 杨君, 刘进军. 谐波抑制和无功功率补偿[M]. 北京: 机械工业出版社, 1998.
[2] 姜齐荣, 赵东元, 陈建业. 有源电力滤波器结构、原理、控制[M]. 北京: 科学出版社, 2005.
[3] 刘金琨. 滑模变结构控制MATLAB仿真[M]. 北京: 清华大学出版社, 2005.
[4] 高为炳. 变结构控制的理论及设计方法[M]. 北京: 科学出版社, 1998.
[5] 周卫平, 吴正国, 刘大明, 等. 有源电力滤波器变趋近律滑模变结构控制[J]. 中国电机工程学报, 2005, 25(23): 91-94.
[6] 杨龙月, 刘建华, 王崇林, 等. 有源电力滤波器精确反馈线性化准滑模变结构控制[J]. 中国电机工程学报, 2014, 34(33): 5868-5875.
[7] 舒朝君, 崔浩, 朱英伟, 等. 基于RLS算法的并联型APF全局积分滑模变结构控制[J]. 四川大学学报, 2016, 48(6): 208-215.
[8] 陈兆岭, 孙京京, 刘国海, 等. 基于积分变结构控制的并联型有源滤波器研究[J]. 电测与仪表, 2012, 49(10): 55-59.
[9] 张栋梁, 谢业华, 刘娟, 等. 基于遗传算法的有源电力滤波器滑模控制[J]. 电力系统保护与控制, 2016, 44(5): 69-74.
[10] Wang, H., Li, Q., Gong, Y.L., et al. (2010) An Adaptive Sliding Mode Control Methodology Applied to Shunt Active Power Filter. 2010 Asia-Pacific Power and Energy Engineering Conference (APPEEC), Chengdu, 2961-2964. [Google Scholar] [CrossRef
[11] Wiebe, Q.E., Duran, J.L. and Acosta, P.R. (2006) Delta-Sigma Integral Sliding Mode Control Strategy of a Three-Phase Active Power Filter Using d-q Frame Theory. 2006 Electronics, Robotics and Automotive Mechanics Conference (CERMA), Cuernavaca, Morelos, Mexico, 291-296. [Google Scholar] [CrossRef
[12] Chu, Y.D., Fei, J.T. and Hou, S.X. (2018) Dynamic Global Proportion-al Integral Derivative Sliding Mode Control Using Radial Basis Function Neural Compensator for Three-Phase Active Power Filter. Transactions of the Institute of Measurement and Control, 40, 3549-3559. [Google Scholar] [CrossRef
[13] Nasiri, M., Pishvaei, M. and Gharehpetian, G.B. (2009) Power Paral-lel Active Filter Controlling Based on Instantaneous Compensation of Reactive Power. 2009 International Symposium on Industrial Electronics (ISIE), Seoul, Korea, 2014-2018. [Google Scholar] [CrossRef
[14] Ghamri, A., Benchouia, M.T. and Golea, A. (2012) Sliding Mode Control Based Three-Phases Hunt Active Power Filter Simulation and Experimentation. Electric Power Components and Systems, 40, 383-398. [Google Scholar] [CrossRef
[15] Yu, S.H. and Yu, X.H. (2000) Robust Global Terminal Sliding Mode Control of SISO Nonlinear Uncertain Systems. 2000 Decision and Control, Proceedings of the 39th IEEE Conference, Sydney, Australia, 2198-2203.
[16] Yu, X. and Man, Z. (2002) Fast Terminal Sliding Mode Control Design for Nonlinear Dynamic Systems. IEEE Transactions on Automatic Control, 49, 261-264. [Google Scholar] [CrossRef
[17] 康宇, 奚宏生, 季海波. 有限时间快速收敛滑模变结构控制[J]. 控制理论与应用, 2004, 21(4): 623-626.
[18] Zhao, G.P. and Liu, J.J. (2010) Analysis and Specification of DC Side Voltage in Parallel Active Power Filter with SVM Control Regarding Compensation Characteristics. 2010 Energy Conversion Congress and Exposition (ECCE), Atlanta, GA, 1545-1550. [Google Scholar] [CrossRef