1. Department of Electrical Engineering Harbin Institute of Technology Harbin 150001 China; 2. Shanghai Jiankun Information Technology Company Shanghai 200032 China
Abstract:The generation mechanism and suppression method of frequency coupling in three-phase grid-connected converters are studied in this paper. The admittance model of three-phase grid-connected converter was built in complex vector form in static coordinate system. and the controller model was established considering the influence of current loop, phase-locked loop (PLL) and DC-link voltage loop. Then, the effects of PLL and DC-link voltage loop on the frequency coupling characteristics were studied according to the model. With the help of the block diagram of the equivalent transfer function of the system, the influence of the frequency coupling components on the system stability was analyzed under weak grid conditions. PLL controls the q-axis voltage and the DC-link voltage loop controls the d-axis current, leading to the asymmetry of the dq-axis in the system. In order to suppress the frequency coupling characteristics, an improved control method for compensating the asymmetric effects of PLL and voltage loop is proposed. The theoretical analysis shows that the proposed method can effectively suppress the frequency coupling phenomenon and improve the system stability. Finally, the effectiveness of the proposed frequency coupling suppression method is verified by experiments.
[1] 黄云辉, 宋泽凡, 唐金瑞, 等. 连接弱电网的并网变换器直流电压时间尺度稳定器的设计与分析[J]. 电工技术学报, 2018, 33(增刊1): 185-192. Huang Yunhui, Song Zefan, Tang Jinrui, et al.Design and analysis of DC-link voltage stabilizer for voltage source converter as connected to weak grid[J]. Transactions of China Electrotechnical Society, 2018, 33(S1): 185-192. [2] 杜雄, 王国宁, 孙鹏菊, 等. 两相静止坐标系下消除不对称和谐波影响的同步信号检测方法[J]. 电工技术学报, 2015, 30(4): 249-256. Du Xiong, Wang Guoning, Sun Pengju, et al.Synchronization signal extraction method in two- phase stationary reference frame for eliminating imbalance and harmonic effects[J]. Transactions of China Electrotechnical Society, 2015, 30(4): 249-256. [3] 张旸, 陈新, 王昀, 等. 弱电网下并网逆变器的阻抗相角动态控制方法[J]. 电工技术学报, 2017, 32(1): 97-106. Zhang Yang, Chen Xin, Wang Yun, et al.Impedance- phased dynamic control method of grid-connected inverters under weak grid condition[J]. Transactions of China Electrotechnical Society, 2017, 32(1): 97-106. [4] 朱晓娟, 胡海涛, 陶海东, 等. 光伏并网系统的谐波不稳定产生机理及影响规律[J]. 电工技术学报, 2017, 32(10): 33-41. Zhu Xiaojuan, Hu Haitao, Tao Haidong, et al.The mechanism and influence of harmonic instability for photovoltaic gird-connected system[J]. Transactions of China Electrotechnical Society, 2017, 32(10): 33-41. [5] Rygg A, Molinas M, Zhang Chen, et al.A modified sequence-domain impedance definition and its equivalence to the dq-domain impedance definition for the stability analysis of AC power electronic systems[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2016, 4(4): 1383-1396. [6] Bakhshizadeh M K, Wang Xiongfei, Blaabjerg F, et al.Couplings in phase domain impedance modeling of grid-connected converters[J]. IEEE Transactions on Power Electronics, 2016, 31(10): 6792-6796. [7] Wang Xiongfei, Blaabjerg F.Harmonic stability in power electronic based power systems: concept, modeling, and analysis[J]. IEEE Transactions on Smart Grid, Early Access, 2018, DOI: 10.1109/TSG. 2018.2812712. [8] Zhang Xueguang, Xia Danni, Fu Zhichao, et al.An improved feedforward control method considering PLL dynamics to improve weak grid stability of grid- connected inverters[J]. IEEE Transactions on Industry Applications, 2018, 54(5): 5143-5151. [9] Bottrell N, Prodanovic M, Green T C.Dynamic stability of a microgrid with an active load[J]. IEEE Transactions on Power Electronics, 2013, 28(11): 5107-5119. [10] 冬雷, 韩劲草, 肖辅荣, 等. 一种基于自适应滤波器的新兴单相锁相环技术[J].电工技术学报, 2016, 31(增刊1): 155-161. Dong Lei, Han Jincao, Xiao Furong, et al.A novel single-phase phase-locked loop based on adaptive filter[J]. Transactions of China Electrotechnical Society, 2016, 31(S1): 155-161. [11] 杨树德, 同向前, 尹军, 等. 增强并网逆变器对电网阻抗鲁棒稳定性的改进前馈控制方法[J]. 电工技术学报, 2017, 32(10): 222-230. Yang Shude, Tong Xiangqian, Yin Jun, et al.An improved grid voltage feedforward strategy for grid- connected inverter to achieve high robust stability against grid-impedance variation[J]. Transactions of China Electrotechnical Society, 2017, 32(10): 222-230. [12] 邹小明, 杜雄, 王国宁, 等. 三相并网逆变器频率耦合机理分析及稳定性判定[J]. 电力系统自动化, 2018, 42(18): 57-63. Zou Xiaoming, Du Xiong, Wang Guoning, et al.Frequency coupling mechanism analysis and stability judgement for three-phase grid-connected inverter[J]. Automation of Electric Power Systems, 2018, 42(18): 57-63. [13] Zhou J Z, Ding Hui, Fan Shengtao, et al.Impact of shortcircuit ratio and phase-locked loop parameters on the small-signal behavior of a VSC-HVDC converter[J]. IEEE Transactions on Power Delivery, 2014, 29(5): 2287-2296. [14] Harnefors L.Analysis of subsynchronous torsional interaction with power electronic converters[J]. IEEE Transactions on Power Systems, 2007, 22(1): 305-313. [15] Wen Bo, Mattavelli P.Harmonic current analysis of the active front end system in the presence of grid voltage disturbance[C]//IEEE Applied Power Elec- tronics Conference and Exposition (APEC), San Antonio, USA, 2018: 499-504. [16] Vieto I, Du Xiong, Nian Heng, et al.Frequency- domain coupling in two-level VSC small-signal dynamics[C]//IEEE 18th Workshop on Control and Modeling for Power Electronics (COMPEL), Stanford, USA, 2017: 1-8. [17] Sun Jian.Small-signal methods for AC distributed power systems—a review[J]. IEEE Transactions on Power Electronics, 2009, 24(11): 2545-2554. [18] Cespedes M, Sun Jian.Impedance modeling and analysis of grid-connected voltage-source converters[J]. IEEE Transactions on Power Electronics, 2014, 29(3): 1254-1261. [19] Rygg A, Molinas M, Zhang Chen, et al.On the equivalence and impact on stability of impedance modelling of power electronic converters in different domains[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2017, 5(4): 1444-1454. [20] Zhang Chen, Cai Xu, Rygg A, et al.Sequence domain siso equivalent models of a grid-tied voltage source converter system for small-signal stability analysis[J]. IEEE Transaction on Energy Conversion, 2018, 33(2): 741-749. [21] Harnefors L.Modeling of three-phase dynamic systems using complex transfer functions and transfer matrices[J]. IEEE Transactions on Industrial Elec- tronics, 2007, 54(4): 2239-2248. [22] Wang Xiongfei, Harnefors L, Blaabjerg F.Unified impedance model of grid-connected voltage-source converters[J]. IEEE Transactions on Power Elec- tronics, 2018, 33(2): 1775-1787. [23] 王国宁, 杜雄, 邹小明, 等. 用于三相并网逆变器稳定性分析的自导纳和伴随导纳建模[J]. 中国电机工程学报, 2017, 37(14): 3973-3981. Wang Guoning, Du Xiong, Zou Xiaoming, et al.Self and accompanying admittance model for three-phase grid-tied inverter stability analysis[J]. Proceedings of the CSEE, 2017, 37(14): 3973-3981. [24] Sun Jian.Impedance-based stability criterion for grid-connected inverters[J]. IEEE Transactions on Power Electronics, 2011, 26(11): 3075-3078.