Abstract：Adaptive backstepping controller of cascaded static synchronous compensator (STATCOM) was proposed in this paper considering the nonlinear characteristic of cascaded STATCOM system. The controller obtained virtual control input of cascaded STATCOM by adopting the recursive idea of backstepping. It designed the system interim control rate according to the principle of certainty equivalence principle. Using the above system interim control rate, the design of voltage controller was completed and the Lyapunov equation of cascaded STATCOM system was set up. Using the Lyapunov asymptotic stability principle, the control inputs and adaptive rate of system parameters to ensure the stability of cascaded STATCOM were obtained. The correctness and effectiveness of adaptive backstepping controller was validated through experiments.
[1] 赵国亮, 李卫国, 陈维江, 等. 预充电过程中取能电路对链式STATCOM直流电压影响及其均衡方法[J]. 电工技术学报, 2015, 30(3): 179-186. Zhao Guoliang, Li Weiguo, Chen Weijiang, et al. Effect of energy-gaining unit on cascaded STATCOM and balance method during pre-charging[J]. Transa- ctions of China Electrotechnical Society, 2015, 30(3): 179-186. [2] 姚骏, 周特, 陈知前. 电网对称故障下定速异步风电场STATCOM容量配置研究[J]. 电工技术学报, 2016, 31(1): 45-54. Yao Jun, Zhou Te, Chen Zhiqian. Studies on STATCOM capacity configuration for FSIG-based wind farm under symmetrical grid fault[J]. Transa- ctions of China Electrotechnical Society, 2016, 31(1): 45-54. [3] 郭三明, 孙鹏荆, 敬树仁, 等. 基于预测模型的STATCOM功率控制策略建模与仿真[J]. 电力系统保护与控制, 2015, 43(1): 88-92. Guo Sanming, Sun Pengjing, Jing Shuren, et al. Research on modeling and simulation of power control method for STATCOM based on predictive model[J]. Power System Protection and Control, 2015, 43(1): 88-92. [4] 王烨, 牟宪民, 齐琛. 三相电流源型STATCOM的无锁相环控制策略[J]. 电力系统保护与控制, 2015, 43(14): 131-136. Wang Ye, Mu Xianmin, Qi Chen. A control strategy of three-phase current source converter based STATCOM without PLL[J]. Power System Protection and Control, 2015, 43(14): 131-136. [5] 刘刚, 张扬, 高志军, 等. 基于不对称分析的高压链式STATCOM的低压穿越控制策略[J]. 电力系统保护与控制, 2015, 43(21): 112-119. Liu Gang, Zhang Yang, Gao Zhijun, et al. Low voltage ride through control strategy of high voltage cascaded STATCOM based on asymmetric analysis[J]. Power System Protection and Control, 2015, 43(21): 112-119. [6] 刘文华, 宋强, 滕乐天, 等. 基于链式逆变器的50MVA静止同步补偿器的直流电压平衡控制[J]. 中国电机工程学报, 2004, 24(4): 145-150. Liu Wenhua, Song Qiang, Teng Letian, et al. Balancing control of DC voltages of 50MVA STATCOM based on cascade multilevel inverters[J]. Proceedings of the CSEE, 2004, 24(4): 145-150. [7] 王轩, 林嘉扬, 滕乐天, 等. d-q-0坐标系下链式STATCOM电流控制策略[J]. 中国电机工程学报, 2012, 32(15): 48-54. Wang Xuan, Lin Jiayang, Teng Letian, et al. Current control strategy of chain circuit STATCOM in d-q-0 coordinates[J]. Proceedings of the CSEE, 2012, 32(15): 48-54. [8] 杨波, 曾光, 钟彦儒, 等. 阶梯波调制法链式STATCOM直流电容电压平衡控制[J]. 电工技术学报, 2013, 28(10): 280-287. Yang Bo, Zeng Guang, Zhong Yanru, et al. DC capacitor voltage balance control strategy of cascade STATCOM based on step wave modulation[J]. Transactions of China Electrotechnical Society, 2013, 28(10): 280-287. [9] 郭高朋, 许留伟, 江加福, 等. 链式STATCOM直流侧电容电压平衡控制[J]. 电源技术, 2012, 36(1): 104-107. Guo Gaopeng, Xu Liuwei, Jiang Jiafu, et al. Voltage balance control of DC side capacitor of cascade STATCOM[J]. Chinese Journal of Power Sources, 2012, 36(1): 104-107. [10] 罗映红, 张鹏, 周碧英, 等. 基于电流间接控制的STATCOM系统仿真研究[J]. 现代电子技术, 2011, 34(12): 154-156. Luo Yinghong, Zhang Peng, Zhou Biying, et al. Simulation of STATCOM system based on indirect current control[J]. Modern Electronics Technique, 2011, 34(12): 154-156. [11] 王轩, 傅坚, 滕乐天, 等. 链式静止同步补偿器电流控制策略[J]. 中国电机工程学报, 2012, 32(12): 1-6. Wang Xuan, Fu Jian, Teng Letian, et al. Current control strategy of chain circuit STATCOM[J]. Proceedings of the CSEE, 2012, 32(12): 1-6. [12] 易桂平, 胡仁杰, 蒋玮, 等. 电网电压不平衡对STATCOM的影响及抑制[J]. 电工技术学报, 2014, 29(6): 238-247. Yi Guiping, Hu Renjie, Jiang Wei, et al. Influence of grid voltage unbalance on STATCOM and the countermeasure[J]. Transactions of China Electro- technical Society, 2014, 29(6): 238-247. [13] 舒泽亮, 汤坚, 郭育华, 等. 基于空间矢量双滞环策略的STATCOM直接电流控制方法[J]. 中国电机工程学报, 2007, 27(25): 103-107. Shu Zeliang, Tang Jian, Guo Yuhua, et al. A novel direct current control for STATCOM using space vector based double hysteresis scheme[J]. Proceedings of the CSEE, 2007, 27(25): 103-107. [14] Zang Chunyan, Liu Zhao. Advanced compensation mode for cascade multilevel static synchronous compensator under unbalanced voltage[J]. IET Power Electronics, 2015, 8(4): 610-617. [15] Young O L, Gui Yonghao, Youngseong H, et al. Stabilisation of asymmetrically structured back-to- back static synchronous compensator system with non-linear damping control[J]. IET Power Electronics, 2015, 8(10): 1952-1962. [16] Rao P, Crow M L, Yang Zhiping. STATCOM control for power system voltage control applications[J]. IEEE Transactions on Power Delivery, 2000, 15(4): 1311-1317. [17] Wang H F, Li H, Chen H. Application of cell immune response modeling to power system voltage control by STATCOM[J]. IEE Proceedings Generation Transmission and Distribution, 2002, 149(1): 102-107. [18] 韩京清. 从PID技术到“自抗扰控制”技术[J]. 控制工程, 2002, 9(3): 13-18. Han Jingqing. From PID technique to active disturbances rejection control technique[J]. Control Engineering of China, 2002, 9(3): 13-18. [19] Xu Yao, Li Fangxing. Adaptive PI control of STATCOM for voltage regulation[J]. IEEE Transa- ctions on Power Delivery, 2014, 29(3): 1002-1011. [20] Wang Keyou, Crow M L. Power system voltage regulation via STATCOM internal nonlinear control[J]. IEEE Transactions on Power Systems, 2010, 26(3): 1252-1262. [21] Yazdani A, Crow M L, Guo J. An improved nonlinear STATCOM control for electric arc furnace voltage flicker mitigation[J]. IEEE Transactions on Power Delivery, 2009, 24(4): 2284-2290. [22] Luo An, Tang Ci, Shuai Zhikang, et al. Fuzzy-PI- based direct-output-voltage control strategy for the STATCOM used in utility distribution systems[J]. IEEE Transactions on Industrial Electronics, 2009, 56(7): 2401-2411. [23] Beza M, Bongiorno M. An adaptive power oscillation damping controller by STATCOM with energy storage[J]. IEEE Transactions on Power Systems, 2014, 30(1): 484-493. [24] Khalil H K, Kokotovic P V. On stability properties of nonlinear systems with slowly varying inputs[J]. IEEE Transactions on Automatic Control, 1991, 36(2): 229. [25] Haque M H, Kumkratug P. Application of Lyapunov stability criterion to determine the control strategy of a STATCOM[J]. IEE Proceedings Generation Trans- mission and Distribution, 2004, 151(3): 415-420. [26] Lee Y O, Han Y, Chung C C. Output tracking control with enhanced damping of internal dynamics and its output boundedness for static synchronous com- pensator system[J]. IET Control Theory & Appli- cations, 2012, 6(10): 1445-1455.
2017, Vol. 32 
