A Three-Phase Phase-Locked Loop Technique Based on All Complex Coefficient Filter
He Yu1,2, Qi Hanhong2, Deng Xiaolong1
1. School of Intelligent Engineering Jiangsu Vocational College of Information Technology Wuxi 214153 China; 2. School of Electrical Engineering Yanshan University Qinhuangdao 066004 China
Abstract Recently, the complex-coefficient-filter (CCF)-based phase-locked loop (PLL) technique has become a hotspot in grid synchronization research. However, the mathematical model and control performance of the current CCF-PLL have been confirmed to be basically consistent with the traditional real coefficient filter PLL. In order to improve the control performance, a novel three-phase PLL based on all complex coefficient filter is put forward. Firstly, the voltage transfer function of the pre-stage filter structure is given, and it is demonstrated that the structure can accurately separate the fundamental positive- and negative-sequence components. Then, the mathematical model of the pre-stage structure on the fundamental positive-sequence phase is derived. Combined with the post-stage synchronous rotating frame PLL, the mathematical model of the entire PLL system is built, and then the system is designed by the third-order optimum correction method. Wherein, the related control parameters are determined. It is shown that with the same open-loop cut-off frequency, the proposed PLL has a wider mid-frequency band width and a larger phase margin than the CCF-PLL. In addition, a multiple all-complex-coefficient-filter based PLL is designed to thoroughly eliminate harmonics. Finally, simulation and experimental results show that the control performance of the proposed PLL is better than that of the CCF-PLL.
He Yu,Qi Hanhong,Deng Xiaolong. A Three-Phase Phase-Locked Loop Technique Based on All Complex Coefficient Filter[J]. Transactions of China Electrotechnical Society, 2021, 36(10): 2115-2126.
[1] Tezer T, Yaman R, Yaman G.Evaluation of approaches used for optimization of stand-alone hybrid renewable energy systems[J]. Renewable and Sustainable Energy Reviews, 2017, 73: 840-853. [2] 涂春鸣, 高家元, 赵晋斌, 等. 弱电网下具有定稳定裕度的并网逆变器阻抗重塑分析与设计[J]. 电工技术学报, 2020, 35(6): 1327-1335. Tu Chunming, Gao Jiayuan, Zhao Jinbin, et al.Analysis and design of grid-connected inverter impedance remodeling with fixed stability margin in weak grid[J]. Transactions of China Electrotechnical Society, 2020, 35(6): 1327-1335. [3] Castelló J, Espí J M, García-gil R. A new generalized robust predictive current control for grid-connected inverters compensates anti-aliasing filters delay[J]. IEEE Transactions on Industrial Electronics, 2016, 63(7): 4485-4494. [4] 王晓寰, 张旭东, 郭红强. 基于相位簇扰动的下垂控制并网逆变器孤岛检测[J]. 电工技术学报, 2020, 35(8): 1728-1738. Wang Xiaohuan, Zhang Xudong, Guo Hongqiang.Islanding detection of droop-controlled grid-connected inverters on phase cluster disturbance[J]. Transactions of China Electrotechnical Society, 2020, 35(8): 1728-1738. [5] Guo Xiaoqiang, Liu Wenzhao, Lu Zhigang.Flexible power regulation and current-limited control of the grid-connected inverter under unbalanced grid voltage faults[J]. IEEE Transactions on Industrial Electronics, 2017, 64(9): 7425-7432. [6] 涂春鸣, 葛钦, 肖凡, 等. 基于光伏电源支撑的多端口固态变压器故障穿越策略[J]. 电工技术学报, 2020, 35(16): 3498-3508. Tu Chunming, Ge Qin, Xiao Fan, et al.Fault ride- through control strategy of solid state transformer with PV power generation[J]. Transactions of China Electrotechnical Society, 2020, 35(16): 3498-3508. [7] 何宇, 漆汉宏, 罗琦, 等. 基于分数阶滤波器的三相锁相环技术[J]. 电工技术学报, 2019, 34(12): 2572-2583. He Yu, Qi Hanhong, Luo Qi, et al.A novel three- phase phase-locked loop method based on fractional- order filter[J]. Transactions of China Electrotechnical Society, 2019, 34(12): 2572-2583. [8] Hans F, Schumacher W, Harnefors L.Small-signal modeling of three-phase synchronous reference frame phase-locked loops[J]. IEEE Transactions on Power Electronics, 2018, 33(7): 5556-5560. [9] Golestan S, Guerrero J M, Vidal A, et al.PLL with MAF-based prefiltering stage: small-signal modeling and performance enhancement[J]. IEEE Transactions on Power Electronics, 2016, 31(6): 4013-4019. [10] Li Haoyuan, Zhang Xing, Xu Chengjun, et al.Sensorless control of IPMSM using moving-average- filter based PLL on HF pulsating signal injection method[J]. IEEE Transactions on Energy Conversion, 2020, 35(1): 43-52. [11] Lee K J, Lee J P, Shin D, et al.A novel grid synchronization PLL method based on adaptive low-pass notch filter for grid-connected PCS[J]. IEEE Transactions on Industrial Electronics, 2014, 61(1): 292-301. [12] 张国强, 王高林, 徐殿国, 等. 基于自适应陷波滤波器的内置式永磁电机转子位置观测方法[J]. 中国电机工程学报, 2016, 36(9): 2521-2527. Zhang Guoqiang, Wang Gaolin, Xu Dianguo, et al.Adaptive notch filter based rotor position estimation for interior permanent magnet synchronous motors[J]. Proceedings of the CSEE, 2016, 36(9): 2521-2527. [13] 杨才伟, 王剑, 游小杰, 等. 二阶广义积分器锁频环数字实现准确性对比[J]. 电工技术学报, 2019, 34(12): 2584-2596. Yang Caiwei, Wang Jian, You Xiaojie, et al.Accuracy comparison of digital implementation on the second-order generalized integrator frequency- locked loop[J]. Transactions of China Electro- technical Society, 2019, 34(12): 2584-2596. [14] Chen Ke, Ai Wu, Chen Bing, et al.Measuring and reconstruction algorithm based on improved second- order generalised integrator configured as a quadrature signal generator and phase locked loop for the three- phase AC signals of independent power generation systems[J]. IET Power Electronics, 2016, 9(11): 2155-2161. [15] Guo Xiaoqiang, Wu Weiyang, Chen Zhe.Multiple- complex coefficient-filter-based phase-locked loop and synchronization technique for three-phase grid- interfaced converters in distributed utility networks[J]. IEEE Transactions on Industrial Electronics, 2011, 58(4): 1194-1204. [16] Guo Xiaoqiang, Guerrero J M.Abc-frame complex- coefficient filter and controller based current harmonic elimination strategy for three-phase grid connected inverter[J]. Journal of Modern Power Systems and Clean Energy, 2016, 4(1): 87-93. [17] Li Weiwei, Ruan Xinbo, Bao Chenlei, et al.Grid synchronization systems of three-phase grid- connected power converters: a complex-vector-filter perspective[J]. IEEE Transactions on Industrial Electronics, 2014, 61(4): 1855-1870. [18] 何宇, 漆汉宏, 邓超, 等. 一种嵌入重复控制内模的三相锁相环的设计与实现[J]. 电工技术学报, 2016, 31(22): 83-91. He Yu, Qi Hanhong, Deng Chao, et al.A novel three-phase phase-locked loop method based on internal model of repetitive control[J]. Transactions of China Electrotechnical Society, 2016, 31(22): 83-91. [19] Busada C, Jorge S G, Leon A E, et al.Current controller based on reduced order generalized integrators for distributed generation systems[J]. IEEE Transactions on Industrial Electronics, 2012, 59(7): 2898-2909. [20] Guest E, Mijatovic N.Discrete-time complex band- pass filters for three-phase converter systems[J]. IEEE Transactions on Industrial Electronics, 2019, 66(6): 4650-4660. [21] An Quntao, Zhang Jianqiu, An Qi, et al.Frequency- adaptive complex-coefficient filter-based enhanced sliding mode observer for sensorless control of permanent magnet synchronous motor drives[J]. IEEE Transactions on Industry Applications, 2020, 56(1): 335-343. [22] Ramezani M, Golestan S, Li S, et al.A simple approach to enhance the performance of complex- coefficient filter-based PLL in grid-connected appli- cations[J]. IEEE Transactions on Industrial Electro- nics, 2018, 65(6): 5081-5085. [23] Golestan S, Monfared M, Freijedo F D.Design- oriented study of advanced synchronous reference frame phase-locked loops[J]. IEEE Transactions on Power Electronics, 2013, 28(2): 765-778. [24] Golestan S, Monfared M, Freijedo F D, et al.Performance improvement of a prefiltered synchronous- reference-frame PLL by using a PID-type loop filter[J]. IEEE Transactions on Industrial Electronics, 2014, 61(7): 3469-3479. [25] 胡寿松. 自动控制原理[M]. 6版. 北京: 科学出版社, 2013. [26] Ahmed H, Bierhoff M, Benbouzid M, et al.Multiple nonlinear harmonic oscillator-based frequency esti- mation for distorted grid voltage[J]. IEEE Transa- ctions on Instrumentation and Measurement, 2020, 69(6): 2817-2825. [27] 曲涛, 任元, 林海雪, 等. GB/T 14549-1993电能质量—公用电网谐波[S]. 中华人民共和国国家标准, 1993.
2021, Vol. 36 
