Abstract：The voltage sag on the grid side is one of the common operating conditions when the three-phase grid-connected converter is running.It is helpful to improve the equipment′s capability of withstanding grid faults by analyzing the transient response of the converter′s phase-locked loop(PLL).This paper provides a second-order nonlinear differential equation based on the mathematic model of three-phase voltage-source PWM rectifier and the phase-locked loop to calculate the output phase angle of the synchronous reference frame phase-locked loop during a failure of single phase voltage sag.Then,the numerical solution is calculated by Mathematica.The validity of the equation is verified by Simulink.The pattern how the parameters of the PLL′s PI controller influence on the fault current waveform is obtained through the analysis of the equation and the simulation.Improper integration parameters will lead to the divergence of the system current in some cases.The simulation results and theoretical analysis are validated by hardware-in-the-loop simulation.
岑扬,黄萌,査晓明. 电网电压不平衡跌落下同步参考坐标系锁相环瞬态响应分析[J]. 电工技术学报, 2016, 31(增刊2): 28-38.
Cen Yang, Huang Meng, Zha Xiaoming. The Transient Response Analysis of SRF-PLL under the Unbalance Grid Voltage Sag. Transactions of China Electrotechnical Society, 2016, 31(增刊2): 28-38.
[1] Blaabjerg F,Teodorescu R,Liserre M,et al.Overview of control and grid synchronization for distributed power generation systems[J].IEEE Transactions on Industrial Electronics,2006,53(5):1398-1409. [2] Chung S K.Phase-locked loop for grid-connected three-phase power conversion systems[J].IEE Proceedings of Electric Power Applications,2000,147(3):213-219. [3] Rodriguez P,Pou J,Bergas J,et al.Decoupled double synchronous reference frame PLL for power converters control[J].IEEE Transactions on Power Electronics,2007,22(2):584-592. [4] Freijedo F D,Doval-Gandoy J,Lopez O,et al.Tuning of phase-locked loops for power converters under distorted utility conditions[J].IEEE Transactions on Industry Applications,2009,45(6):2039-2047. [5] Yazdani D,Mojiri M,Bakhshai A,et al.A fast and accurate synchronization technique for extraction of symmetrical components[J].IEEE Transactions on Power Electronics,2009,24(3):674-684. [6] Rodriguez P,Luna A,Munoz-Aguilar R S,et al.A stationary reference frame grid synchronization system for three-phase grid-connected power converters under adverse grid conditions[J].IEEE Transactions on Power Electronics,2012,27(1):99-112. [7] Prodanovic M,Green T C.Control and filter design of three-phase inverters for high power quality grid connection[J].IEEE Transactions on Power Electronics,2003,18(1):373-380. [8] Ye Yanrong,Kazerani M,Quintana V H.A novel modeling and control method for three-phase PWM converters[C]//IEEE PESC 2001,Vancouver,Canada,2001:102-107. [9] Timbus A V,Teodorescu R,Blaabjerg F,et al.PLL algorithm for power generation systems robust to grid voltage faults[C]//IEEE PESC 2006,Jeju,South Korea,2006:1-7. [10]Tahir K,Belfedal C,Allaoui T,et al.A new control strategy of WFSG-based wind turbine to enhance the LVRT capability[J].International Journal of Electrical Power & Energy Systems,2016(79):172-187. [11]Hu Jiabing,Hu Qi,Wang Bo,et al.Small signal instability of PLL-synchronized type-4 wind turbines connected to high-impedance AC grid during LVRT[J].IEEE Transactions on Energy Conversion,2016,31(4):1676-1687. [12]Han Yang,Luo Mingyu,Zhao Xin,et al.Comparative performance evaluation of orthogonal-signal-generators-nasedsingle-phase PLL algorithms:asurvey[J].IEEE Transactions on Power Electronics,2016,31(5):3932-3944. [13]Bacon V D,da Silva S A O.Performance improvement of a three-phase phase-locked-loop algorithm under utility voltage disturbances using non-autonomous adaptive filters[J].IET Power Electronics,2015,8(11):2237-2250. [14]Luna A,Rocabert J,Candela J I,et al.Grid voltage synchronization for distributed generation systems under grid fault conditions[J].IEEE Transactions on Industry Applications,2015,51(4):3414-3425. [15]Hadjidemetriou L,Kyriakides E,Blaabjerg F.An adaptive tuning mechanism for phase-locked loop algorithms for faster time performance of interconnected renewable energy sources[J].IEEE Transactions on Industry Applications,2015,51(2):1792-1804. [16]熊凌飞,韩民晓,姚蜀军.锁相环对多端柔性直流稳定性作用分析及参数选择研究[J].电工技术学报,2015,30(16):203-212. Xiong Lingfei,Han Minxiao,Yao Shujun.Influence of PLL on the stability analysis of VSC-MTDC and parameter selection[J].Transactions of China Electrotechnical Society,2015,30(16):203-212. [17]胡应占,郭素娜.适用于电网不平衡时的广义积分器锁相环设计[J].电力系统保护与控制,2014,42(11):148-154. Hu Yingzhan,Guo Suna.Design of generalized integrator phase locked loop for unbalanced grid[J].Power System Protection and Control,2014,42(11):148-154. [18]裴喜平,郝晓弘,陈伟.基于模型参考自适应算法的三相锁相环系统[J].电工技术学报,2014,29(4):196-204. Pei Xiping,Hao Xiaohong,Chen Wei.A novel three-phase phase-locked-loop system based on model reference adaptive algorithm[J].Transactions of China Electrotechnical Society,2014,29(4):196-204. [19]辛业春,李国庆,王尧,等.基于双 dq 坐标变换的三相电压锁相环的研究[J].电力系统保护与控制,2014,42(10):114-118. Xin Yechun,Li Guoqing,Wang Yao,et al.Study of three-phase voltage phase locked loop based on double dq transformation[J].Power System Protection and Control,2014,42(10):114-118. [20]赵贵龙,曹玲玲,祝龙记.基于光伏并网逆变系统的改进锁相环设计[J].电力系统保护与控制,2015,43(2):108-112. Zhao Guilong,Cao Lingling,Zhu Longji.Improved PLL design of PV grid inverter system[J].Power System Protection and Control,2015,43(2):108-112. [21]杜雄,刘延东,王国宁,等.采用正弦幅值积分器的单同步参考坐标系同步信号检测方法[J].电工技术学报,2015,30(8):167-175. Du Xiong,Liu Yandong,Wang Guoning,et al.Synchronization signal detection method in synchronous reference frame through sinusoidal amplitude integrators[J].Transactions of China Electrotechnical Society,2015,30(8):167-175. [22]史梦思,钱丽萍,岳云涛,等.三相逆变电源的锁相环设计[J].电工技术学报,2015,30(增刊1):93-97. Shi Mengsi,QianLiping,YueYuntao,et al.Phase-locked loop designing of three phase inverter power[J].Transactions of China Electrotechnical Society,2015,30(S1):93-97. [23]刘亚静,范瑜.全数字硬件化锁相环参数分析与设计[J].电工技术学报,2015,30(2):172-179. Liu Yajing,Fan Yu.Design and analysis of all-digital full-hardware phase-locked loop[J].Transactions of China Electrotechnical Society,2015,30(2):172-179.
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