基于李雅普诺夫函数的并联型混合有源电力滤波器非线性控制方法

Abstract
Figure/Table
References
Related Citation (15)

Download: PDF (2484 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract In order to reduce the complexity of harmonic current detection of active power filters and solve the problem of power supply current distortion with the change of nonlinear loads,a nonlinear control strategy based on the Lyapunov Function for the shunt hybrid active power filter (SHAPF) is proposed.The affine nonlinear model of the SHAPF is built,and voltage-current double closed loops are designed.For the inner current loop,a novel nonlinear control strategy based on the Lyapunov function is proposed to improve the global asymptotic stability.The strategy is a simple solver to realize the decoupling control of the reactive power compensation current and thus achieve fast tracking of harmonic reference current.Considering the anti-interference performance of the system as an optimization goal,the optimal controller gain is obtained to smooth power fluctuation caused by parameter perturbation or load step demand.For the outer voltage loop,a nonlinear sliding mode control method is adopted to stable the capacitor voltage when the load changes and disturbance occurs.The simulation results of Matlab/Simulink and experimental results of dSPACE platform show that the proposed nonlinear control method based on the Lyapunov function for the SHAPF is simple,highly stabile,and strongly robust.

Key words： Hybrid active power filter Lyapunov function slide mode control robustness

Received: 16 May 2015 Published: 21 November 2016

PACS:

TM46

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	Xue Hua
	Fan Yue
	Wang Yufei

Cite this article:

Xue Hua,Fan Yue,Wang Yufei. Nonlinear Control Strategy Based on Lyapunov Function for Shunt Hybrid Active Power Filter[J]. Transactions of China Electrotechnical Society, 2016, 31(21): 133-141.

URL:

https://dgjsxb.ces-transaction.com/EN/ OR https://dgjsxb.ces-transaction.com/EN/Y2016/V31/I21/133

[1] 王兆安,杨君,刘进军,等.谐波抑制和无功补偿[M].北京:机械工业出版社,2006.
[2] 杨龙月,刘建华,王崇林.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.
Yang Longyue,Liu Jianhua,Wang Chonglin.Quasi-sliding mode control of active power filters based on exact feedback linearization[J].Proceedings of the CSEE,2014,34(33):5868-5875.
[3] Matas J,De Vicua L G,Miret J,et al.Feedback linearization of a single-phase active power filter via sliding mode control[J].IEEE Transactions on Power Electronics,2008,23(1):116-125.
[4] 薛花,王育飞.基于无源性的并联型有源滤波器自适应滑模控制[J].电力自动化设备,2011,31(9):60-64.
Xue Hua,Wang Yufei.Study on adaptive passivity-based control strategies of shunt active filters[J].Electric Power Automation Equipment,2011,31(9):60-64.
[5] Avik B,Chandan C.A shunt active power filter with enhanced performance using ANN-based predictive and adaptive controllers[J].IEEE Transactions on Industrial Electronics,2011,58(2):421-428.
[6] Rahmani S,Hamadi A,AI-Haddad K,et al.A new control technique for three-phase shunt hybrid power filter[J].IEEE Transactions on Industrial Electronics,2009,56(8):2904-2915.
[7] Luo A,Shuai Z,Zhu W,et al.Design and application of a hybrid active power filter with injection circuit[J].IET Power Electronics,2010,3(1):54-64.
[8] 乐江源,谢运祥,公伟勇,等.单相有源电力滤波器非线性统一控制策略[J].控制理论与应用,2011,28(5):652-658.
Yue Jiangyuan,Xie Yunxiang,Gong Weiyong,et al.Nonlinear unified control for single-phase active power filter[J].Control Theory & Applications,2011,28(5):652-658.
[9] Akagi H,Kondo R.A transformerless hybrid active filter using a three-level pulse width modulation converter for a medium voltage motor drive[J].IEEE Transactions on Power Electronics,2010,25(6):1365-1374.
[10]鲁伟,李文春,徐长波.并联混合有源滤波器逆系统解耦控制[J].控制理论与应用,2013,30(9):1145-1152.
Lu Wei,Li Wenchun,Xu Changbo.Inverse system method based decoupling control of shunt hybrid active power filter[J].Control Theory & Applications,2013,30(9):1145-1152.
[11]汤赐,罗安,周柯,等.新型注入式混合有源滤波器的滑模变结构控制[J].中国电机工程学报,2007,27(19):99-103.
Tang Ci,Luo An,Zhou Ke,et al.Sliding mode control of new injection type hybrid active filter[J].Proceedings of the CSEE,2007,27(19):99-103.
[12]Hamadi A,Rahmani S,Al-Haddad K.A hybrid passive filter configuration for var control and harmonic compensation[J].IEEE Transactions on Power Electronics,2010,57(7),2419-2434.
[13]Rahmani S,Mendalek N,Al-Haddad K.Experimental design of a nonlinear control technique for three-phase shunt active power filter[J].IEEE Transactions Industrial Electronics,2010,57(10):3364-3375.
[14]乐江源,谢运祥,张志,等.三相有源电力滤波器精确反馈线性化空间矢量PWM复合控制[J].中国电机工程学报,2010,30(15):32-39.
Yue Jiangyuan,Xie Yunxiang,Zhang Zhi,et al.Space vector PWM control of three-phase active power filter using exact feedback linearization[J].Proceedings of the CSEE,2010,30(15):32-39.
[15]Rahmani S,Hamadi A,AI-Haddad K.A lyapunov function based control for a three phase shunt hybrid active filter[J].IEEE Transactions on Industrial Electronics,2012,59(3):1418-1429.
[16]李兰芳,杨洪耕,郭卫明,等.基于李雅普诺夫方法的有源电力滤波器电流稳定控制[J].电工技术学报,2012,27(9):78-86.
Li Lanfang,Yang Honggeng,Guo Weiming,et al.Lyapunov-based current stability control method of active power filter[J].Transactions of China Electrotechnical Society,2012,27(9):78-86.
[17]丁青青,鲁伟,徐长波,等.三相并联混合有源电力滤波器的无源控制策略[J].电机与控制学报,2014,18(5):1-6.
Ding Qingqing,Lu Wei,Xu Changbo,et al.Passivity-based control of a three-phase shunt hybrid active power filter[J].Electric Machines and Control,2014,18(5):1-6.
[18]王峰,张旭隆,何凤有,等.基于复合模型预测控制策略的三电平APF研究[J].电力系统保护与控制,2014,42(11):79-85.
Wang Feng,Zhang Xulong,He Fengyou,et al.Research of three-level shunt APF control method based on composite model predictive control strategy[J].Power System Protection and Control,2014,42(11):79-85.
[19]张宸宇,梅军,郑建勇,等.基于内置重复控制器改进无差拍的有源滤波器双滞环控制方法[J].电工技术学报,2015,30(22):124-132.
Zhang Chenyu,Mei Jun,Zheng Jianyong,et al.Active power filter double hysteresis method with improved deadbeat control based on built-in repetitive controller[J].Transactions of China Electrotechnical Society,2015,30(22):124-132.
[20]史丽萍,蔡儒军,陈丽兵,等.三相三线制有源滤波器的改进无差拍控制[J].电力系统保护与控制,2014,42(14):32-36.
Shi Liping,Cai Rujun,Chen Libing,et al.A deadbeat control scheme for three-phase three-wire active power filter[J].Power System Protection and Control,2014,42(14):32-36.
[21]王路鹏,唐忠.基于 LCL 的三相并联有源电力滤波器研究[J].电气技术,2014,14(3):55-59.
Wang Lupeng,Tang Zhong.Research on LCL-based three-phase shunt active power filter[J].Electrical Engineering,2014,14(3):55-59.
[22]刘宏超,吕胜民,张春晖.三相四开关并联型有源电力滤波器的 SVPWM 调制算法[J].电工技术学报,2011,26(4):128-134.
Liu Hongchao,Lü Shengmin,Zhang Chunhui.Space vector pulse width modulation of three-phase four-switch shunt active power filter[J].Transactions of China Electrotechnical Society,2011,26(4):128-134.
[23]王文,罗安,梨燕.三相四开关并联有源电力滤波器的控制方法[J].电工技术学报,2014,29(10):183-190.
Wang Wen,Luo An,Li Yan.Control method of three-phase four-switch shunt active power filter[J].Transactions of China Electrotechnical Society,2014,29(10):183-190.
[24]易皓,卓放,翟灏.基于矢量谐振调节器的有源电力滤波器网侧电流检测控制方法研究[J].电工技术学报,2015,30(7):72-79.
Yi Hao,Zhuo Fang,Zhai Hao.Research on source current detection type APF control scheme based on vector resonant regulator[J].Transactions of China Electrotechnical Society,2015,30(7):72-79.