Abstract Modular multilevel converter (MMC) is widely used in renewable energy power grid connection. However, due to the random fluctuations, system parameter perturbation and its nonlinear characteristics, it is difficult to ensure the global asymptotic stability and strong robustness of MMC circulation suppression using traditional vector control methods. To solve this problem, a novel passivity-based and backstepping circulating current suppressing method based on port-controlled Hamiltonian with dissipation (PCHD) model was proposed. Based on the MMC global energy function of the PCHD model, the passivity-based controller was designed to correct the energy dissipation and flow of the closed-loop system through energy function shaping, so that the system energy could obtain the minimum value at the desired equilibrium point. The global asymptotic stability of the system was realized. The backstepping control method was adopted to eliminate the tracking error caused by uncertain disturbance and MMC parameter perturbation, thereby realizing the fast tracking of circulating double frequency components. The results of Matlab/Simulink and dSPACE show that the proposed passivity-based and backstepping circulating current suppressing method of MMC has the advantages of simplicity, no singularity and good transient performance, which can ensure the global stability and robustness of the system.
Xue Hua,Pan Zhexiao,Wang Yufei等. MMC Passivity-Based and Backstepping Circulating Current Suppressing Method Based on Port-Controlled Hamiltonian with Dissipation Model[J]. Transactions of China Electrotechnical Society, 2020, 35(12): 2596-2611.
[1] Debnath S, Qin Jiangchao, Bahrani B, et al.Operation, control, and applications of the modular multilevel converter: a review[J]. IEEE Transactions on Power Electronics, 2015, 30(1): 37-53. [2] Zhang Lei, Zou Yuntao, Yu Jicheng, et al.Modeling, control, and protection of modular multilevel converter-based multi-terminal HVDC systems: a review[J]. CSEE Journal of Power and Energy Systems, 2017, 3(4): 340-352. [3] 关维德, 黄守道, 黄小庆. 一种基于改进模块化多电平换流器的中压风电系统及其控制方法[J]. 电工技术学报, 2018, 33(16): 3782-3791. Guan Weide, Huang Shoudao, Huang Xiaoqing.A medium-voltage wind power generation system based on improved modular multilevel converter and its control scheme[J]. Transactions of China Electrotechnical Society, 2018, 33(16): 3782-3791. [4] 王一凡, 赵成勇, 郭春义, 等. 双馈风电场孤岛经模块化多电平换流器直流输电并网系统小信号稳定性分析与振荡抑制方法[J]. 电工技术学报, 2019, 34(10): 2116-2129. Wang Yifan, Zhao Chengyong, Guo Chunyi, et al.Small signal stability and oscillation suppression method for islanded double fed induction generatorbased wind farm integrated by modular multilevel converter based HVDC system[J]. Transactions of China Electrotechnical Society, 2019, 34(10): 2116-2129. [5] Li Yalong, Edward A J, Wang Fei.Circulating current suppressing control’s impact on arm inductance selection for modular multilevel converter[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2017, 5(1): 182-188. [6] Behrooz B, Suman D, Maryam S.Circulating current suppression of the modular multilevel converter in a double-frequency rotating reference frame[J]. IEEE Transactions on Power Electronics, 2016, 31(1): 783-792. [7] 李金科, 金新民, 吴学智, 等. 不平衡交流电网模块化多电平变流器特性分析及环流抑制方法[J]. 中国电机工程学报, 2017, 37(12): 3535-3544, 3682. Li Jinke, Jin Xinmin, Wu Xuezhi, et al.Characteristic analysis and a circulating current control method in modular multilevel converters under unbalanced grid conditions[J]. Proceedings of the CSEE, 2017, 37(12): 3535-3544, 3682. [8] Wang Jinyu, Liang Jun, Wang Chengfu, et al.Circulating current suppression for MMC-HVDC under unbalanced grid conditions[J]. IEEE Transactions on Industry Applications, 2017, 53(4): 3250-3259. [9] 施恩泽, 吴学智, 荆龙, 等. 网压不平衡下环流注入对模块化多电平换流器的影响分析[J]. 电工技术学报, 2018, 33(16): 3719-3731. Shi Enze, Wu Xuezhi, Jing Long, et al.Analysis of the impact on modular multilevel converter with circulating current injection under unbalanced grid voltage[J]. Transactions of China Electrotechnical Society, 2018, 33(16): 3719-3731. [10] Yang Shunfeng, Wang Peng, Tang Yi, et al.Circulating current suppression in modular multilevel converters with even-harmonic repetitive control[J]. IEEE Transactions on Industry Applications, 2018, 54(1): 298-309. [11] 张臣, 叶华, 韦凌霄, 等. 不平衡状态下MMC双回路环流抑制策略[J]. 电工技术学报, 2019, 37(9): 1924-1933. Zhang Chen, Ye Hua, Wei Lingxiao, et al.Doubleloop circulating current suppressing strategy for modular multilevel converter under unbalanced conditions[J]. Transactions of China Electrotechnical Society, 2019, 37(9): 1924-1933. [12] 宋平岗, 何峰. 基于微分平坦理论模块化多电平换流器环流抑制控制方法[J]. 电力系统保护与控制, 2015, 43(19): 43-48. Song Pinggang, He Feng.Differential flatness based method of circulating current suppressing control for modular multilevel converter[J]. Power System Protection and Control, 2015, 43(19): 43-48. [13] Lazhar B, Adel G, Mohamed T, et al.Modular multilevel converter circulating current reduction using model predictive control[J]. IEEE Transactions on Industrial Electronics, 2016, 63(6): 3857-3866. [14] Zhang Xiaotong, Huang Jingjing, Zhang Xin, et al.Backstepping based nonlinear control strategy for MMC topology[C]//IECON 2017-43rd Annual Conference of the IEEE Industrial Electronics Society, Beijing, 2017: 1-7. [15] Romeo O, Arjan V S, Fernando C, et al.Control by interconnection and standard passivity-based control of port-Hamiltonian systems[J]. IEEE Transactions Automatic Control, 2008, 53(11): 2527-2542. [16] Seung-Ju L, kWang-Kyo O, Hyo-Sung A. Passivitybased output synchronisation of port-controlled Hamiltonian and general linear interconnected systems[J]. IET Control Theory & Applications, 2013, 7(2): 234-245. [17] 蔡新红, 赵成勇. 基于欧拉-拉格朗日模型的模块化多电平换流器的无源控制[J]. 电工技术学报, 2013, 28(10): 224-232. Cai Xinhong, Zhao Chengyong.Euler-Lagrange model based passive control for modular multilevel converter[J]. Transactions of China Electrotechnical Society, 2013, 28(10): 224-232. [18] 祝贺, 王久和, 郑成才, 等. 五电平MMC-UPQC的无源控制[J]. 电工技术学报, 2017, 32(增刊2): 172-178. Zhu He, Wang Jiuhe, Zheng Chengcai, et al.Passivity based control of five-level MMC-UPQC[J]. Transactions of China Electrotechnical Society, 2017, 32(S2): 172-178. [19] Romeo O, Arjan V S, Bernhard M, et al.Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems[J]. Automatica, 2002, 38(4): 585-596. [20] Zhang Qi, Liu Guangjun.Precise control of elastic joint robot using an interconnection and damping assignment passivity-based approach[J]. IEEE/ASME Transactions on Mechatronics, 2016, 21(6): 2728-2736. [21] 杨晓峰, 李泽杰, 郑琼林. 基于虚拟阻抗滑模控制的MMC环流抑制策略[J]. 中国电机工程学报, 2018, 38(23): 6893-6904, 7123. Yang Xiaofeng, Li Zejie, Zheng Qionglin.A novel MMC circulating current suppressing strategy based on virtual impedance sliding mode control[J]. Proceedings of the CSEE, 2018, 38(23): 6893-6904, 7123. [22] 范志华, 苗世洪, 刘子文, 等. 模块化多电平换流器子模块故障特性分析与解耦控制策略[J]. 电工技术学报, 2018, 33(16): 3707-3718. Fan Zhihua, Miao Shihong, Liu Ziwen, et al.Modular multilevel converter sub-module fault characteristics analysis and decoupling control strategy[J]. Transactions of China Electrotechnical Society, 2018, 33(16): 3707-3718. [23] 薛花, 姜建国. 基于无源性的同步电动机自适应控制[J]. 电工技术学报, 2009, 24(10): 33-39. Xue Hua, Jiang Jianguo.Adaptive passivity-based control of synchronous motors[J]. Transactions of China Electrotechnical Society, 2009, 24(10): 33-39. [24] Jean-Jacques E, Slotine. Applied nonlinear control[M]. Englewood: Prentice Hall, 1991. [25] Richard M M, Li Zexiang, Shankar S.A mathe matical introduction to robotic manipulation[M]. Florida: Chemical Rubber Company, 1994.
2020, Vol. 35 
