双馈风电场内部多模式谐振引发电力系统次同步振荡的机理研究
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摘要
该文研究风电场内部不同风电机群间多模式谐振引发电力系统次同步振荡和振荡模式频率漂移的作用机理。首先,提出多模式谐振理论,当风电场中N个风电机群的开环次同步振荡模式在复平面上相近时,N个风电机群之间发生的多模式谐振使得对应的两类闭环次同步振荡模式在复平面上分布于开环次同步振荡模式两侧相对的位置,当模式阻尼减弱的闭环次同步振荡模式位于复平面上的不稳定区域时,会引发系统失稳。其次,基于多模式谐振理论研究双馈风电场内部风电机群间动态交互引发电力系统次同步振荡的机理和次同步振荡的频率漂移现象,为风电场接入引发电力系统次同步振荡的研究提供新的视角。最后,通过算例分析验证理论分析和相关结论的正确性和有效性。
The paper investigated the mechanism of the occurrence of sub-synchronous oscillations(SSOs) and frequency drift in power systems with DFIG-based wind farm as caused by multi-modal resonance(MMR) among different wind clusters within the wind farm. Firstly, the paper proposed the MMR theory. It is found that when the open-loop SSO modes of N wind clusters within the wind farm are close to each other on the complex plane, two types of closed-loop SSO modes will be located at the opposite positions with respect to those of the open-loop SSO modes on the complex plane due to the MMR among N wind clusters. In addition, if the closed-loop SSO mode with damping degradation enters the right half-plane, the power system will be destabilized. Secondly, based on the MMR theory, the mechanism of SSOs in power systems caused by dynamic interactions among wind clusters within the DFIG-based wind farm and the frequency drift of SSOs were investigated. This paper provided a new prospective for the research on SSOs in power systems caused by the integration of wind farms. Finally, case studies were conducted to validate the correctness and effectiveness of the theoretical analysis and corresponding conclusions.
The paper investigated the mechanism of the occurrence of sub-synchronous oscillations(SSOs) and frequency drift in power systems with DFIG-based wind farm as caused by multi-modal resonance(MMR) among different wind clusters within the wind farm. Firstly, the paper proposed the MMR theory. It is found that when the open-loop SSO modes of N wind clusters within the wind farm are close to each other on the complex plane, two types of closed-loop SSO modes will be located at the opposite positions with respect to those of the open-loop SSO modes on the complex plane due to the MMR among N wind clusters. In addition, if the closed-loop SSO mode with damping degradation enters the right half-plane, the power system will be destabilized. Secondly, based on the MMR theory, the mechanism of SSOs in power systems caused by dynamic interactions among wind clusters within the DFIG-based wind farm and the frequency drift of SSOs were investigated. This paper provided a new prospective for the research on SSOs in power systems caused by the integration of wind farms. Finally, case studies were conducted to validate the correctness and effectiveness of the theoretical analysis and corresponding conclusions.
引文
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[14]宋瑞华,郭剑波,李柏青,等.基于输入导纳的直驱风电次同步振荡机理与特性分析[J].中国电机工程学报,2017,37(16):4662-4670,4891.Song Ruihua,Guo Jianbo,Li Baiqing,et al.Mechanism and characteristics of subsynchronous oscillation in direct-drive wind power generation system based on input-admittance analysis[J].Proceedings of the CSEE,2017,37(16):4662-4670,4891(in Chinese).
[15]Harnefors L,Wang Xiongfei,Yepes A G,et al.Passivitybased stability assessment of grid-connected VSCs-an overview[J].IEEE Journal of Emerging and Selected Topics in Power Electronics,2016,4(1):116-125.
[16]Du Wenjuan,Wang Yang,Wang Haifeng,et al.Concept of modal repulsion for examining the sub-synchronous oscillations in power systems[J].IEEE Transactions on Power Systems,2018,33(4):4614-4624.
[17]Du Wenjuan,Chen Chen,Wang Haifeng.Subsynchronous Interactions induced by DFIGs in power systems without series compensated lines[J].IEEE Transactions on Sustainable Energy,2018,9(3):1275-1284.
[18]Du Wenjuan,Chen Xiao,Wang Haifeng.A method of open-loop modal analysis to examine the SSOs in a multi-machine power system with multiple variable-speed wind generators[J].IEEE Transactions on Power Systems,2018,33(4):4297-4307.
[19]Du Wenjuan,Fu Qiang,Wang Haifeng.Method of open-loop modal analysis for examining the subsynchronous interactions introduced by VSC control in an MTDC/AC system[J].IEEE Transactions on Power Delivery,2018,33(2):840-850.
[20]Du Wenjuan,Fu Qiang,Wang Haifeng.Subsynchronous oscillations caused by open-loop modal coupling between VSC-based HVDC line and power system[J].IEEETransactions on Power systems,2018,33(4):3664-3677.
[21]Du Wenjuan,Wang Xubin,Wang Haifeng.Subsynchronous interactions caused by the PLL in the gridconnected PMSG for the wind power generation[J].International Journal of Electrical Power&Energy Systems,2018,98:331-341.
[22]王旭斌,杜文娟,王海风.开环模式谐振引发含变速风电机组电力系统振荡的机理分析[J].中国电机工程学报,2017,37(22):6481-6491.Wang Xubin,Du Wenjuan,Wang Haifeng.Oscillations caused by open-loop modal resonance in power system with variable-speed wind generator[J].Proceedings of the CSEE,2017,37(22):6481-6491(in Chinese).
[23]IEEE Subsynchronous Resonance Task Force.First benchmark model for computer simulation of subsynchronous resonance[J].IEEE Transactions on Power Apparatus and Systems,1977,96(5):1565-1572.
[24]Fan Lingling,Kavasseri R,Miao Z L,et al.Modeling of DFIG-based wind farms for SSR analysis[J].IEEETransactions on Power Delivery,2010,25(4):2073-2082.
[2]Adams J,Pappu V A,Dixit A.Ercot experience screening for sub-synchronous control interaction in the vicinity of series capacitor banks[C]//Proceedings of 2012 IEEEPower and Energy Society General Meeting.San Diego:IEEE,2012.
[3]王伟胜,张冲,何国庆,等.大规模风电场并网系统次同步振荡研究综述[J].电网技术,2017,41(4):1050-1060.Wang Weisheng,Zhang Chong,He Guoqing,et al.Overview of research on subsynchronous oscillations in large-scale wind farm integrated system[J].Power System Technology,2017,41(4):1050-1060(in Chinese).
[4]谢小荣,王路平,贺静波,等.电力系统次同步谐振/振荡的形态分析[J].电网技术,2017,41(4):1043-1049.Xie Xiaorong,Wang Luping,He Jingbo,et al.Analysis of subsynchronous resonance/oscillation types in power systems[J].Power System Technology,2017,41(4):1043-1049(in Chinese).
[5]Liu Hao,Bi Tianshu,Chang Xiaolong,et al.Impacts of subsynchronous and supersynchronous frequency components on synchrophasor measurements[J].Journal of Modern Power Systems and Clean Energy,2016,4(3):362-369.
[6]Fan Lingling,Miao Zhixin.Nyquist-stability-criterionbased SSR explanation for type-3 wind generators[J].IEEE Transactions on Energy Conversion,2012,27(3):807-809.
[7]Miao Zhixin.Impedance-model-based SSR analysis for type 3 wind generator and series-compensated network[J].IEEE Transactions on Energy Conversion,2012,27(4):984-991.
[8]吕敬,蔡旭,张占奎,等.海上风电场经MMC-HVDC并网的阻抗建模及稳定性分析[J].中国电机工程学报,2016,36(14):3771-3780.LüJing,Cai Xu,Zhang Zhankui,et al.Impedance modeling and stability analysis of MMC-based HVDC for offshore wind farms[J].Proceedings of the CSEE,2016,36(14):3771-3780(in Chinese).
[9]Wang Liang,Xie Xiaorong,Jiang Qirong,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.
[10]Liu Huakun,Xie Xiaorong,Zhang Chuanyu,et al.Quantitative SSR analysis of series-compensated DFIG-based wind farms using aggregated RLC circuit model[J].IEEE Transactions on Power Systems,2017,32(1):474-483.
[11]Xie Xiaorong,Zhang Xu,Liu Huakun,et al.Characteristic analysis of subsynchronous resonance in practical wind farms connected to series-compensated transmissions[J].IEEE Transactions on Energy Conversion,2017,32(3):1117-1126.
[12]Liu Huakun,Xie Xiaorong,He Jingbo,et al.Subsynchronous interaction between direct-drive PMSG based wind farms and weak AC networks[J].IEEETransactions on Power Systems,2017,32(6):4708-4720.
[13]谢小荣,刘华坤,贺静波,等.直驱风机风电场与交流电网相互作用引发次同步振荡的机理与特性分析[J].中国电机工程学报,2016,36(9):2366-2372.Xie Xiaorong,Liu Huakun,He Jingbo,et al.Mechanism and characteristics of subsynchronous oscillation caused by the interaction between full-converter wind turbines and AC systems[J].Proceedings of the CSEE,2016,36(9):2366-2372(in Chinese).
[14]宋瑞华,郭剑波,李柏青,等.基于输入导纳的直驱风电次同步振荡机理与特性分析[J].中国电机工程学报,2017,37(16):4662-4670,4891.Song Ruihua,Guo Jianbo,Li Baiqing,et al.Mechanism and characteristics of subsynchronous oscillation in direct-drive wind power generation system based on input-admittance analysis[J].Proceedings of the CSEE,2017,37(16):4662-4670,4891(in Chinese).
[15]Harnefors L,Wang Xiongfei,Yepes A G,et al.Passivitybased stability assessment of grid-connected VSCs-an overview[J].IEEE Journal of Emerging and Selected Topics in Power Electronics,2016,4(1):116-125.
[16]Du Wenjuan,Wang Yang,Wang Haifeng,et al.Concept of modal repulsion for examining the sub-synchronous oscillations in power systems[J].IEEE Transactions on Power Systems,2018,33(4):4614-4624.
[17]Du Wenjuan,Chen Chen,Wang Haifeng.Subsynchronous Interactions induced by DFIGs in power systems without series compensated lines[J].IEEE Transactions on Sustainable Energy,2018,9(3):1275-1284.
[18]Du Wenjuan,Chen Xiao,Wang Haifeng.A method of open-loop modal analysis to examine the SSOs in a multi-machine power system with multiple variable-speed wind generators[J].IEEE Transactions on Power Systems,2018,33(4):4297-4307.
[19]Du Wenjuan,Fu Qiang,Wang Haifeng.Method of open-loop modal analysis for examining the subsynchronous interactions introduced by VSC control in an MTDC/AC system[J].IEEE Transactions on Power Delivery,2018,33(2):840-850.
[20]Du Wenjuan,Fu Qiang,Wang Haifeng.Subsynchronous oscillations caused by open-loop modal coupling between VSC-based HVDC line and power system[J].IEEETransactions on Power systems,2018,33(4):3664-3677.
[21]Du Wenjuan,Wang Xubin,Wang Haifeng.Subsynchronous interactions caused by the PLL in the gridconnected PMSG for the wind power generation[J].International Journal of Electrical Power&Energy Systems,2018,98:331-341.
[22]王旭斌,杜文娟,王海风.开环模式谐振引发含变速风电机组电力系统振荡的机理分析[J].中国电机工程学报,2017,37(22):6481-6491.Wang Xubin,Du Wenjuan,Wang Haifeng.Oscillations caused by open-loop modal resonance in power system with variable-speed wind generator[J].Proceedings of the CSEE,2017,37(22):6481-6491(in Chinese).
[23]IEEE Subsynchronous Resonance Task Force.First benchmark model for computer simulation of subsynchronous resonance[J].IEEE Transactions on Power Apparatus and Systems,1977,96(5):1565-1572.
[24]Fan Lingling,Kavasseri R,Miao Z L,et al.Modeling of DFIG-based wind farms for SSR analysis[J].IEEETransactions on Power Delivery,2010,25(4):2073-2082.