Abstract In order to overcome the impacts of uncertainty and external disturbance on the control performance of the single-phase voltage source full-bridge inverters, a novel non-linear control strategy of single-phase voltage source full-bridge inverter is proposed. The continuous mathematical model of the inverter is established by using the output filter capacitor voltage and its derivative as state variables. And then the strict parameter feedback model considering parameters uncertainty and external disturbance is further developed. Subsequently, combined the backstepping method and sliding mode control, a new backstepping-sliding mode control strategy for the inverter is proposed. The proposed strategy could achieve globally asymptotic stability, and effectively overcome the dependency on the mathematical model of the backstepping method. Experimental results show that, by adopting this novel method, the output voltage has no steady state error and few harmonic contents, also the system is robust to the disturbance of dc voltage source and loads. Furthermore, this control strategy can be applied to both linear and nonlinear loads.
Hou Bo,Mu Anle,Dong Fengbin等. Backstepping Sliding Mode Control Strategy of Single-Phase Voltage Source Full-Bridge Inverter[J]. Transactions of China Electrotechnical Society, 2015, 30(20): 93-99.
[1] 顾和荣, 王德玉, 沈虹, 等. 三相四桥臂逆变器控制技术研究[J]. 电力系统保护与控制, 2011, 39(24): 41-46. Gu Herong, Wang Deyu, Shen Hong, et al. Research on control scheme of three-phase four-leg inverter[J]. Power System Protection and Control, 2011, 39(24): 41-46. [2] 姚致清, 张茜, 刘喜梅. 基于PSCAD/EMTDC的三相光伏并网发电系统仿真研究[J]. 电力系统保护与控制, 2010, 38(17): 76-81. Yao Zhiqing, Zhang Qian, Liu Ximei. Research on simulation of a three-phase grid-connected photovoltaic generation system based on PSCAD/EMTDC[J]. Power System Protection and Control, 2010, 38(17): 76-81. [3] 赵梅花, 阮毅, 杨勇, 等. 直驱式混合励磁风力发电系统控制策略的研究[J]. 电力系统保护与控制, 2010, 38(12): 19-23. Zhao Meihua, Ruan Yi, Yang Yong, et al. Control strategy study on direct-driven type hybrid excitation wind power system[J]. Power System Protection and Control, 2010, 38(12): 19-23. [4] 张平化, 杨贵杰, 李铁才. 三相PWM整流器的反馈线性化直接电压控制[J]. 中国电机工程学报, 2010, 30(18): 39-46. Zhang Pinghua, Yang Guijie, Li Tiecai. Direct voltage control of three phase PWM rectifier based on feedback linearization[J]. Proceedings of the CSEE, 2010, 30(18): 39-46. [5] 王久和. 电压型PWM整流器的非线性控制[M]. 北京: 机械工业出版社, 2008. [6] Gensior A, Sira-Ramirez H, Rudolph J, et al. On some nonlinear current controllers for three-phase boost rectifiers[J]. IEEE Transactions on Industrial Electronics, 2009, 56(2): 360-370. [7] 姚玮, 陈敏, 牟善科, 等. 基于反馈线性化的高性能逆变器数字控制方法[J]. 中国电机工程学报, 2010, 30(12): 14-19. Yao Wei, Chen Min, Mou Shanke, et al. Digital control method for high-performance inverters based on feedback linearization[J]. Proceedings of the CSEE, 2010, 30(12): 14-19. [8] 石峰, 查晓明. 应用微分几何理论的三相并联型有源电力滤波器解耦控制[J]. 中国电机工程学报, 2008, 28(15): 92-97. Shi Feng, Zha Xiaoming. Decoupled control of the shunt three-phase active power filter applying differential geometry theory[J]. Proceedings of the CSEE, 2008, 28(15): 92-97. [9] 张兴, 张崇巍, 曹仁贤. 光伏并网逆变器非线性控制策略的研究[J]. 太阳能学报, 2002, 23(6): 770-773. Zhang Xing, Zhang Chongwei, Cao Renxian. Study on nonlinear control of FV parallel feed inverter[J]. Acta Energiae Solaris Sinica, 2002, 23(6): 770-773. [10] 陈艳, 周林, 雷建, 等. 基于微分几何的微网Z源逆变器并网控制[J]. 电工技术学报, 2012, 27(1): 17-23. Chen Yan, Zhou Lin, Lei Jian, et al. Research on the Z-source inverter grid-connected control of micro-grid system based on differential geometry[J]. Transactions of China Electrotechnical Society, 2012, 27(1): 17-23. [11] 董锋斌, 钟彦儒. 基于状态反馈精确线性化的三相四桥臂逆变器的控制[J]. 信息与控制, 2012, 41(5): 544-552. Dong Fengbin, Zhong Yanru. Control of three-phase four-leg inverter by sate feedback exact linearization[J]. Information and Control, 2012, 41(5): 544-552. [12] 帅定新, 谢运祥, 杨金明, 等. 基于状态反馈精确线性化单相全桥逆变器的最优控制[J]. 电工技术学报, 2009, 24(11): 120-126. Shuai Dingxin, Xie Yunxiang, Yang Jinmin, et al. Optimal control of single-phase full-bridge inverters by state feedback linearization[J]. Transactions of China Electrotechnical Society, 2009, 24(11): 120-126. [13] 王久和, 慕小斌. 基于无源性的光伏并网逆变器电流控制[J]. 电工技术学报, 2012, 27(11): 176-182. Wang Jiuhe, Mu Xiaobin. Current control strategy of photovoltaic grid-connected inverter based on passivity[J]. Transactions of China Electrotechnical Society, 2012, 27(11): 176-182. [14] 陈宝远, 邹丽爽, 吴茜, 等. 基于 H ∞ 控制算法的单相逆变电源控制器研究[J]. 哈尔滨理工大学学报, 2010, 15(4): 14-18. Chen Baoyuan, Zou Lishuang, Wu Qian, et al. Study on single-phase inverter controller based on H ∞ control algorithm[J]. Journal of Harbin Universigy of Science and Technology, 2010, 15(4): 14-18. [15] 胡跃明. 非线性控制理论与应用[M]. 北京: 国防工业出版社, 2005. [16] 董锋斌, 钟彦儒. 反步法在三相电压型脉冲调宽逆变器控制中的应用[J]. 控制理论与应用, 2012, 29(7): 928-932. Dong Fengbin, Zhong Yanru. Control of three-phase voltage pulse-width-modulation inverters by back- stepping design approach[J]. Control Theory & Applications, 2012, 29(7): 928-932. [17] 董锋斌, 钟彦儒. 反向递推法在三相四桥臂逆变器控制中的应用[J].电机与控制学报, 2012, 16(4): 30-35. Dong Fengbin, Zhong Yanru. Application of backstepping for three-phase four-leg inverter[J]. Electric Machine and Control, 2012, 16(4): 30-35. [18] 高为炳. 变结构控制的理论及设计方法[M]. 北京: 科学出版社, 1996. [19] 张黎, 丘水生. 滑模控制逆变器的分析与实验研 究[J]. 中国电机工程学报, 2006, 26(3): 59-63. Zhang Li, Qiu Shuisheng. Analysis and experimental study of sliding mode control inverter[J]. Proceedings of the CSEE, 2006, 26(3): 59-63. [20] Hsin-Jang S, Kuo-Kai S. Nonlinear slidingmode torque control with adaptive backstepping approach for induction motor drive[J]. IEEE Transactions on Industrial Electronics, 1999, 46(2): 380-389. [21] 王家军, 王建中, 马国进. 感应电动机系统的变结构反推控制研究[J]. 中国电机工程学报, 2007, 27(6): 35-38. Wand Jiajun, Wang Jianzhong, Ma Guojin. Variable structure control with backstepping of induction motor system[J]. Proceedings of the CSEE, 2007, 27(6): 35-38. [22] 王礼鹏, 张化光, 刘秀翀, 等. 基于扩张状态器的SPMSM调速系统的滑模变结构反步控制[J]. 控制与决策, 2011, 26(4): 553-557. Wand Lipeng, Zhang Huaguang, Liu Xiuchong, et al. Backstepping controller based on sliding mode variable structure for speed control of SPMSM with extended state observer[J]. Control and Decision, 2011, 26(4): 553-557. [23] 徐德鸿. 电力电子系统建模及控制[M]. 北京: 机械工业出版社, 2006. [24] Khalil H K. Nonlinear systems[M]. New Jersey: Pearson Education, 2002.
2015, Vol. 30 
