李东东,钟伟伦,孙梦显,赵耀,徐波,刘一鸣,余大钧
LI Dongdong,ZHONG Weilun,SUN Mengxian,ZHAO Yao,XU Bo,LIU Yiming,YU Dajun

• 1:上海电力大学电气工程学院

摘要(Abstract)：

针对DFIG-WECS（双馈风电系统）在并入弱交流电网时的动态稳定性问题，提出了一种动态稳定性分析指标。首先，考虑风速波动的影响，将DFIG-WECS模型建立为ETDS~2M（等效时变离散状态空间模型）。然后，通过将ETDS~2M分解为几个相互连接的子系统，并在有限步内迭代每个子系统，构造渐近增益矩阵来量化不同子系统之间的相互作用。最后，提出了WF-SCR（风电场短路比）动态稳定指标，可有效解释DFIG-WECS的动态稳定极限。通过实时仿真和对比研究，验证了ETDS~2M和WF-SCR的有效性。
To investigate the dynamic stability of doubly-fed induction generator-based wind energy conversion systems(DFIG-WECS) when connected into weak AC grids, this study proposes a novel dynamic stability assessment index. Firstly, considering the impact of wind speed fluctuations, the DFIG-WECS is modeled as an equivalent time-varying discrete state-space model(ETDS~2M). The ETDS~2M is then decomposed into several interconnected subsystems. By iteratively analyzing each subsystem within finite steps, an asymptotic gain matrix is constructed to quantify the interactions between the subsystems. Subsequently, a wind farm short-circuit ratio(WF-SCR) based dynamic stability index is proposed, which effectively characterizes the dynamic stability limits of DFIG-WECS. Real-time simulation and comparative studies verify the effectiveness of both the ETDS~2M modeling approach and WF-SCR index.

关键词(KeyWords)： 动态稳定;输入状态稳定;短路比;双馈风电系统
dynamic stability;input-to-state stability;SCR;DFIG-WECS

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(52377111)

作者(Author): 李东东,钟伟伦,孙梦显,赵耀,徐波,刘一鸣,余大钧
LI Dongdong,ZHONG Weilun,SUN Mengxian,ZHAO Yao,XU Bo,LIU Yiming,YU Dajun

DOI: 10.19585/j.zjdl.202511005

参考文献(References)：

• [1] WANG L,XIE X R,JIANG Q R,et al.Investigation of SSR in practical DFIG-based wind farms connected to a series-compensated power system[J].IEEE Transactions on Power Systems,2015,30(5):2772-2779.
• [2] DU C M,DU X,TONG C H,et al.Stability analysis for DFIG-based wind farm grid-connected system under all wind speed conditions[J].IEEE Transactions on Industry Applications,2023,59(2):2430-2445.
• [3]陈水耀，胡晨，马伟，等.基于故障信息的风机并网系统暂态稳定分析方法[J].浙江电力，2023,42(9):89-98.CHEN Shuiyao,HU Chen,MA Wei,et al. A Transient stability analysis method for power systems with wind turbines integrated based on fault information[J]. Zhejiang Electric Power,2023,42(9):89-98.
• [4]徐文滨，孙一凡，王林，等.考虑风电时空相关性的电气互联系统分布式优化调度[J].浙江电力，2023,42(3):9-17.XU Wenbin,SUN Yifan,WANG Lin,et al. Distributed optimal dispatching of the integrated electricity and natural gas systems considering spatial-temporal correlation of wind power[J].Zhejiang Electric Power,2023,42(3):9-17.
• [5] MIAO Z X.Impedance-model-based SSR analysis for type3 wind generator and series-compensated network[J].IEEE Transactions on Energy Conversion,2012,27(4):984-991.
• [6] SONG Y P,WANG X F,BLAABJERG F.Impedancebased high-frequency resonance analysis of DFIG system in weak grids[J].IEEE Transactions on Power Electronics,2017,32(5):3536-3548.
• [7] SHI F,SHU D W,YAN Z,et al.A shifted frequency impedance model of doubly fed induction generator(DFIG)-based wind farms and its applications on S2SI analysis[J].IEEE Transactions on Power Electronics,2021,36(1):215-227.
• [8] WANG J L,WANG P,ZHAO H R,et al.Comprehensive impedance analysis of DFIG-based wind farms considering dynamic couplings[J].IEEE Transactions on Power Electronics,2025,40(1):2259-2272.
• [9] LI Y,FAN L L,MIAO Z X.Replicating real-world wind farm SSR events[J].IEEE Transactions on Power Delivery,2020,35(1):339-348.
• [10] ALI M T,ZHOU D,SONG Y P,et al.Analysis and mitigation of SSCI in DFIG systems with experimental validation[J].IEEE Transactions on Energy Conversion,2020,35(2):714-723.
• [11] DU W J,CHEN C,WANG H F.Subsynchronous interactions induced by DFIGs in power systems without series compensated lines[J]. IEEE Transactions on Sustainable Energy,2018,9(3):1275-1284.
• [12] MA J,SHEN Y Q.Stability assessment of DFIG subsynchronous oscillation based on energy dissipation intensity analysis[J]. IEEE Transactions on Power Electronics,2020,35(8):8074-8087.
• [13] CHEN W H,XIE X R,WANG D H,et al.Probabilistic stability analysis of subsynchronous resonance for seriescompensated DFIG-based wind farms[J].IEEE Transactions on Sustainable Energy,2018,9(1):400-409.
• [14] SUN K,YAO W,FANG J K,et al.Impedance modeling and stability analysis of grid-connected DFIG-based wind farm with a VSC-HVDC[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics,2020,8(2):1375-1390.
• [15] FAN L L,KAVASSERI R,MIAO Z L,et al.Modeling of DFIG-based wind farms for SSR analysis[J]. IEEE Transactions on Power Delivery,2010,25(4):2073-2082.
• [16] PAK L F,DINAVAHI V.Real-time simulation of a wind energy system based on the doubly-fed induction generator[J].IEEE Transactions on Power Systems,2009,24(3):1301-1309.
• [17] JIN H Y,YAN Y F,QI D L.Small disturbance stability analysis of weak-grid-connected DFIG-based wind power system[C]//2022 5th International Conference on Renewable Energy and Power Engineering(REPE),28-30Sep.2022,Beijing,China.IEEE,2022:375-380.
• [18] LIU J,YAO W,WEN J Y,et al. Impact of power grid strength and PLL parameters on stability of gridconnected DFIG wind farm[J]. IEEE Transactions on Sustainable Energy,2020,11(1):545-557.
• [19] SAHU B,PADHY B P.Small signal stability analysis of DFIG integrated power system considering PLL dynamics under different grid strengths[C]//2023 IEEE PES Conference on Innovative Smart Grid Technologies-Middle East(ISGT Middle East),12-15 Mar.2023,Abu Dhabi,United Arab Emirates.IEEE,2023:1-5.
• [20] CIGRE.Connection of wind farms to weak AC networks[S].Paris:CIGRE.2016.
• [21]辛焕海，董炜，袁小明，等.电力电子多馈入电力系统的广义短路比[J].中国电机工程学报，2016,36(22):6013-6027.XIN Huanhai,DONG Wei,YUAN Xiaoming,et al.Generalized short circuit ratio for multi power electronic based devices infeed to power systems[J]. Proceedings of the CSEE,2016,36(22):6013-6027.
• [22]李辉，王坤，胡玉，等.双馈风电系统虚拟同步控制的阻抗建模及稳定性分析[J].中国电机工程学报，2019,39(12):3434-3443.LI Hui,WANG Kun,HU Yu,et al.Impedance modeling and stability analysis of virtual synchronous control based on doubly-fed wind generation systems[J].Proceedings of the CSEE,2019,39(12):3434-3443.
• [23] MathWorks.Wind Farm-Doubly-Fed Induction Generator(DFIG)[DB/OL].[2025-01-15]. https：//www. mathworks. com/help/sps/ug/wind-farm-dfig-detailed-model.html.
• [24] WANG L,ZHU Z Q,BIN H,et al.Current harmonics suppression strategy for PMSM with nonsinusoidal backEMF based on adaptive linear neuron method[J]. IEEE Transactions on Industrial Electronics,2020,67(11):9164-9173.
• [25] GEISELHART R,WIRTH F R.Relaxed ISS small-gain theorems for discrete-time systems[J]. SIAM Journal on Control and Optimization,2016,54(2):423-449.