引用本文:马幼捷,刘进华,周雪松,刘思佳,李 季.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):
MA Youjie,LIU Jinhua,ZHOU Xuesong,LIU Sijia,LI Ji.Tracking and nonlinear analytical expression of saddle node bifurcation boundary in wind power system with STATCOM[J].Electric Power Automation Equipment,2012,32(3):
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含STATCOM的风电系统鞍结分岔边界追踪及其非线性解析表达
马幼捷, 刘进华, 周雪松, 刘思佳, 李 季
天津理工大学 天津市复杂系统控制理论及应用重点实验室,天津 300384
摘要:
借助常规电力系统计算二维参数分岔边界的方法和思路,以风电注入有功功率Pin、STATCOM的参数KMdc为控制参数,追踪得到风电系统节点电压二维鞍结分岔边界,通过对分岔边界的分析,得出风电场注入有功和STATCOM参数共同作用下影响风电系统电压稳定性的规律; 接着以二次多项式作为风电系统参数空间中鞍结分岔边界的近似非线性解析表达式。通过算例仿真验证了该方法逼近真实边界的高精度及其有效性。
关键词:  STATCOM  风电  分岔  鞍结分岔边界  电压稳定性  非线性解析
DOI:
分类号:
基金项目:国家自然科学基金资助项目(50877053);天津市自然科学基金资助项目(09JCYBJC07100)
Tracking and nonlinear analytical expression of saddle node bifurcation boundary in wind power system with STATCOM
MA Youjie, LIU Jinhua, ZHOU Xuesong, LIU Sijia, LI Ji
Tianjin Key Laboratory for Control Theory & Applications in Complicated Systems,Tianjin University of Technology,Tianjin 300384,China
Abstract:
Referred to the conventional calculation method of two-dimensional parameter bifurcation boundary for electric power system,the two-dimensional saddle-node bifurcation boundary of wind power system node voltage is calculated by taking the injecting active power Pin of wind farm and the parameter KMdc of STATCOM as the bifurcation control parameters,which is then analyzed to obtain the voltage stability laws of wind power system affected by both injecting active power and STATCOM parameter. The quadratic polynomial is taken as the approximate nonlinear analytical expression of saddle node bifurcation boundaries in the parameter space of wind power system. Simulative results of an example show the precision and effectiveness of the proposed method in approaching the true border.
Key words:  STATCOM  wind power  bifurcation(mathematics)  saddle node bifurcation boundary  voltage stability  nonlinear analysis

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