风电系统多参数霍普夫分岔分析Multi-Parameter Hopf Bifurcation Analysis of Wind Power System
李季;周雪松;马幼捷;
摘要(Abstract):
应用多参数霍普夫(Hopf)分岔分析方法研究含异步发电机的风电系统电压稳定性。全面考虑了风电场的有功功率、无功功率和静止无功补偿器对电压稳定性的影响,进行了风电系统双参数Hopf分岔研究,求得有功功率和无功功率的两参数Hopf分岔边界,以及静止无功补偿器参数(参考电压和放大倍数)和有功功率的Hopf分岔边界。结果表明,风电场吸收的无功功率限制了有功功率的注入能力,较大的参考电压和放大倍数有助于提高风电场有功出力,避免了电压振荡失稳,而参考电压和放大倍数具有一定的互补性,其共同作用有利于延迟Hopf分岔,提高风电系统的电压稳定性。
关键词(KeyWords): 风电系统;电压稳定性;霍普夫分岔;双参数分岔;静止无功补偿器
基金项目(Foundation): 国家自然科学基金项目(50877053);; 天津市自然科学基金项目(09JCYBJC07100)~~
作者(Author): 李季;周雪松;马幼捷;
Email:
DOI: 10.13335/j.1000-3673.pst.2012.11.029
参考文献(References):
- [1]陈宁,朱凌志,王伟.改善接入地区电压稳定性的风电场无功控制策略[J].中国电机工程学报,2009,29(10):102-108.Chen Ning,Zhu Lingzhi,Wang Wei.Strategy for reactive powercontrol of wind farm for improving voltage stability in wind powerintegrated region[J].Proceedings of the CSEE,2009,29(10):102-108(in Chinese).
- [2]Eknath V,Mark O M,Andrew K.A steady-state voltage stabilityanalysis of power systems with high penetrations of wind[J].IEEETrans on Power Systems,2010,25(1):433-442.
- [3]张瑞明,张新燕.基于普通异步发电机和双馈风力发电机静态数学模型的系统静态电压稳定性研究[J].电网技术,2011,35(1):175-179.Zhang Ruiming,Zhang Xinyan.Study on static voltage stability ofpower system based on static models of common and doubly fedasynchronous generators[J].Power System Technology,2011,35(1):175-179(in Chinese).
- [4]苏常胜,李凤婷,晁勤,等.异步风力发电机等值及其短路特性研究[J].电网技术,2011,35(3):177-182.Su Changsheng,Li Fengting,Chao Qin,et al.Research on equivalentaggregation of asynchronous wind power generators and itsshort-circuit characteristics[J].Power System Technology,2011,35(3):177-182(in Chinese).
- [5]李辉,韩力,赵斌,等.风电机组等效模型对机组暂态稳定分析结果的影响[J].中国电机工程学报,2008,28(17):105-111.Li Hui,Han Li,Zhao Bin,et al.Effect of equivalent models of windturbines on analysis results of transient stability for wind generatorsystems[J].Proceedings of the CSEE,2008,28(17):105-111(inChinese).
- [6]张锋,晁勤.STATCOM改善风电场暂态电压稳定性的研究[J].电网技术,2008,32(9):70-73.Zhang Feng,Chao Qin.Research on improving transient voltagestability of wind farm by STATCOM[J].Power System Technology,2008,32(9):70-73(in Chinese).
- [7]邢文琦,晁勤.含不同风电机组的风电电网仿真研究[J].电网技术,2009,33(9):99-102.Xing Wenqi,Chao Qin.Simulation study on wind power systemcontaining various wind turbine generators[J].Power SystemTechnology,2009,33(9):99-102(in Chinese).
- [8]赵兴勇,张秀彬,苏小林.电力系统电压稳定性研究与分岔理论[J].电工技术学报,2008,23(2):87-95.Zhao Xingyong,Zhang Xiubin,Su Xiaolin.Voltage stability studiesand bifurcation theory in power systems[J].Transactions of ChinaElectrotechnical Society,2008,23(2):87-95(in Chinese).
- [9]马幼捷,问虎龙,周雪松,等.基于延拓法的风电系统稳定模型二维参数分岔边界的计算与研究[J].中国电机工程学报,2011,30(19):26-30.Ma Youjie,Wen Hulong,Zhou Xuesong,et al.Calculation andresearch of two-dimensional parameter bifurcation boundary withpower system stability model including wind farm based oncontinuation method[J].Proceedings of the CSEE,2011,30(19):26-30(in Chinese).
- [10]Radunskaya A,Williamson R,Yinger R.A dynamic analysis of thestability of a network of induction generators[J].IEEE Transactionson Power Systems,2008,23(2):657-663.
- [11]马幼捷,刘进华,周雪松.含STATCOM的风电系统鞍结分岔边界追踪及其非线性解析表达[J].电力自动化设备,2012,32(3):90-93.MA Youjie,Liu Jinhua,Zhou Xuesong.Tracking and nonlinearanalytical expression of saddle node bifurcation boundary in windpower system with STATCOM[J].Electric Power AutomationEquipment,2012,32(3):90-93(in Chinese).
- [12]马幼捷,刘进华,周雪松,等.含静止同步补偿器的风电系统多参数鞍结分岔边界追踪及分析[J].电网技术,2011,35(12):190-195.Ma Youjie,Liu Jinhua,Zhou Xuesong,et al.Tracking and analysisof multi-parameter saddle-Node bifurcation boundary of wind powersystem containing static synchronous compensator[J].Power SystemTechnology,2011,35(12):190-195:190-195(in Chinese).
- [13]曹国云,刘丽霞,赵亮,等.基于延拓法的电力系统稳定模型中二维参数局部分岔边界的计算[J].中国电机工程学报,2005,25(8):13-16.Cao Guoyun,Liu Lixia,Zhao Liang,et al.Continuation method tocompute two-dimensional parameter local bifurcation boundary inpower system stability differential-algebraic equation model[J].Proceedings of the CSEE,2005,25(8):13-16(in Chinese).
- [14]汤宏,吴俊玲,周双喜.包含风电场电力系统的小干扰稳定分析建模和仿真[J].电网技术,2004,28(1):38-41.Tang Hong,Wu Junling,Zhou Shuangxi.Modeling and simulation forsmall signal stability analysis of power system containing windfarm[J].Power System Technology,2004,28(1):38-41(in Chinese).
- [15]邓集祥,张新宇,童建东.系统参数对Hopf分岔影响的研究[J].电工技术学报,2007,22(9):130-135.Deng Jixiang,Zhang Xinyu,Tong Jiandong.Study on effect of systemparameters for Hopf bifurcation[J].Transaction of ChinaElectrotechnical Society,2007,22(9):130-135(in Chinese).