The Mechanism of Small Signal Dynamic Interaction Between DFIG and Synchronous Generator Based on State Matrix and Perturbation Theories
Bi Tianshu1, Wang Qing1, Xue Ancheng1, Xia Deming2
1.State Key Laboratory of Alternate Electrical Power System with Renewable Energy Source North China Electric Power University Beijing 102206 China 2.Northeast Branch of State Grid Corporation of China Shenyang 110180 China
Abstract：With the increasing applications of doubly-fed induction generators (DFIGs), the study on the mechanism of small signal dynamic interaction between DFIGs and synchronous generators becomes increasingly important. In order to reveal the interaction mechanism, in this paper, the relationship between the terminal voltage phase and rotor side vector control of DFIG is analyzed firstly. And then, the relation expression considering the variation of terminal voltage phase and the angular frequency deviation between the phase locked loop (PLL) of the DFIG and the power grid is established. On this basis, the state matrix that reflects the coupling property between the PLL of DFIG and the power angle of synchronous generator is established based on the system containing a single synchronous generator, an infinite bus, and a single DFIG. Furthermore, the coupling interaction between the modes of the state matrix is studied using the perturbation theories and the modal analysis method. Then the interaction mechanism between the oscillatory modes of the synchronous generator and the PLL is revealed. In the end, the correctness of the analysis is verified by the comparison of the oscillatory modes and their dominant state variables and participation factors.
毕天姝, 王清, 薛安成, 夏德明. 基于状态矩阵和摄动理论的双馈风力发电机与同步机小扰动互作用机理[J]. 电工技术学报, 2016, 31(7): 126-135.
Bi Tianshu, Wang Qing, Xue Ancheng, Xia Deming. The Mechanism of Small Signal Dynamic Interaction Between DFIG and Synchronous Generator Based on State Matrix and Perturbation Theories. Transactions of China Electrotechnical Society, 2016, 31(7): 126-135.
[1] Slootweg J G,Kling W L.The impact of large scale wind power generation on power system oscillations[J].Electric Power Systems Research,2003,67(1):9-20. [2] Fernández R D,Mantz R J,Battaiotto P E.Impact of wind farms on a power system an eigenvalue analysis approach[J].Renewable Energy,2007,32(10):1676-1688. [3] Elkington K,Knazkins V,Ghandhari M.On the stability of power systems containing doubly fed induction generator-based generation[J].Electric Power Systems Research,2008,78(9):1477-1484. [4] Gautam D,Vittal V,Harbour T.Impact of increased penetration of DFIG-based wind turbine generators on transient and small signal stability of power systems[J].IEEE Transactions on Power Systems,2009,24(3):1426-1434. [5] 郝正航,余贻鑫.双馈风电场对电力系统阻尼影响的转矩分析[J].电工技术学报,2011,26(5):152-158. Hao Zhenghang,Yu Yixin.Torque analysis for the influence of DFIG-based wind farm on damping of power system[J].Transactions of China Electrotechnical Society,2011,26(5):152-158. [6] 张祥宇,付媛,王毅,等.含虚拟惯性与阻尼控制的变速风电机组综合PSS控制器[J].电工技术学报,2015,30(1):159-169. Zhang Xiangyu,Fu Yuan,Wang Yi,et al.Integrated PSS controller of variable speed wind turbines with virtual inertia and damping control[J].Transactions of China Electrotechnical Society,2015,30(1):159-169. [7] 周镇,孙近文,曾凡涛,等.考虑风机接入的电力系统小信号稳定优化控制[J].电工技术学报,2014,29(增1):424-431. Zhou Zhen,Sun Jinwen,Zeng Fantao,et al.Optimal supplementary control for small signal stability of power system with DFIG integration[J].Transactions of China Electrotechnical Society,2014,29(S1):424-431. [8] 李辉,陈宏文,杨超,等.含双馈风电场的电力系统低频振荡模态分析[J].中国电机工程学报,2013,33(28):17-24. Li Hui,Chen Hongwen,Yang Chao,et al.Modal analysis of the low-frequency oscillation of power systems with DFIG-based wind farms[J].Proceedings of the CSEE,2013,33(28):17-24. [9] 张子泳,胡志坚,刘宇凯.计及广域信号时变时滞影响的大型双馈风力发电系统附加鲁棒阻尼控制[J].电工技术学报,2014,29(4):246-255. Zhang Ziyong,Hu Zhijian,Liu Yukai.Additional robust damping control of large scale DFIG-based wind power generation system with wide-area signals’ time-varying delay influence[J].Transactions of China Electrotechnical Society,2014,29(4):246-255. [10]杨黎晖,马西奎.双馈风电机组对电力系统低频振荡特性的影响[J].中国电机工程学报,2011,31(10):19-25. Yang Lihui,Ma Xikui.Impact of doubly fed induction generator wind turbine on power system low-frequency oscillation characteristic[J].Proceedings of the CSEE,2011,31(10):19-25. [11]Tsourakis G,Nomikos B M,Vournas C D.Effect of wind parks with doubly fed asynchronous generators on small-signal stability[J].Electric Power Systems Research,2009,79(1):190-200. [12]张红光,张粒子,陈树勇,等.大容量风电场对电力系统小干扰稳定和阻尼特性的影响[J].电网技术,2007,31(13):75-80. Zhang Hongguang,Zhang Lizi,Chen Shuyong,et al.Influence of large scale wind farms on power system small signal stability and damping characteristic[J].Power System Technology,2007,31(13):75-80. [13]贾宏杰,王磊.含大规模风电场的电力系统小扰动稳定性研究[J].电网技术,2012,36(10):61-69. Jia Hongjie,Wang Lei.Small signal stability analysis of power grid integrated with large-scale wind farm composed of doubly fed induction generators[J].Power System Technology,2012,36(10):61-69. [14]李媛媛,邱跃丰,马世英,等.风电机组接入对系统小干扰稳定性的影响研究[J].电网技术,2012,36(8):50-55. Li Yuanyuan,Qiu Yuefeng,Ma Shiying,et al.Impact of grid-connected wind turbine generators on small signal stability of power grid[J].Power System Technology,2012,36(8):50-55. [15]Vittal E,O’Malley M,Keane A.Rotor angle stability with high penetrations of wind generation[J].IEEE Transactions on Power Systems,2012,27(1):353-362. [16]Jafarian M,Ranjbar A M.The impact of wind farms with doubly fed induction generators on power system electromechanical oscillations[J].Renewable Energy,2013,50(3):780-785. [17]石佳莹,沈沉,刘锋.双馈风电机组动力学特性对电力系统小干扰稳定的影响分析[J].电力系统自动化,2013,37(18):7-13. Shi Jiaying,Shen Chen,Liu Feng.Influence analysis of DFIG dynamic characteristics on power system small signal stability[J].Automation of Electric Power Systems,2013,37(18):7-13. [18]王忱,石立宝,姚良忠,等.大规模双馈型风电场的小扰动稳定分析[J].中国电机工程学报,2010,30(4):63-70. Wang Chen,Shi Libao,Yao Liangzhong,et al.Small signal stability analysis of the large-scale wind farm with DFIGs[J].Proceedings of the CSEE,2010,30(4):63-70. [19]王志文,沈沉,刘锋.不同锁相机制的双馈电机对电力系统小干扰稳定的影响分析[J].中国电机工程学报,2014,34(34):6167-6176. Wang Zhiwen,Shen Chen,Liu Feng.Analysis on impact of doubly fed induction generations with different phase lock mechanism on power system small signal stability[J].Proceedings of the CSEE,2014,34(34):6167-6176. [20]Wu F,Zhang X P,Godfrey K.Small signal stability analysis and optimal control of a wind turbine with doubly fed induction generator[J].IET Generation,Transmission & Distribution,2007,1(5):751-760.
2016, Vol. 31 
