时滞电力系统全特征谱追踪算法及其应用  

An Eigenvalue Spectrum Tracing Algorithm and Its Application in Time Delayed Power Systems

作　　者：余晓丹[1] 贾宏杰[1] 王成山[1] 

机构地区：[1]智能电网教育部重点实验室,天津大学,天津市300072

出　　处：《电力系统自动化》2012年第24期10-14,38,共6页Automation of Electric Power Systems

基　　金：国家重点基础研究发展计划(973计划)资助项目(2009CB219701;2010CB234608);国家自然科学基金资助项目(51277128);天津市科技发展计划资助项目(09JCZDJC25000);高等学校博士学科点专项科研基金资助项目(20090032110064)~~

摘　　要：给出了一种基于预测—校正思路的时滞电力系统全特征谱追踪算法,从零时滞开始,逐渐增加系统时滞,并利用已有结果进行预测,然后通过求解一个优化模型对预测结果加以校正,以实现对时滞系统全部特征值的求解。进一步,采用WSCC 3机9节点系统对所提出的方法进行验证,结果表明所述方法能准确求解时滞系统的全特征谱轨迹。同时,在分析时发现并示例了时滞系统的3类特殊分岔现象,即振荡泯灭分岔、振荡诞生分岔和振荡畸变分岔,并研究讨论了时滞系统特征值数目随分岔的变化规律。A predictor-corrector based eigenvalue spectrum tracing algorithm of time delayed power systems is presented. System eigenvalues without time delay are calculated firstly. Time delays are then gradually increased to get the predictive result by the predictor. Subsequently, an optimal model is used as the corrector to obtain the final result. The WSCC 32generator 9-bus system is used to validate the proposed method. The results show that it could trace all eigenvalue locus of the time delayed power system precisely. In the study, some bifurcations existing in the time delayed system are found, illustrated and studied, such as oscillation disappearance bifurcation （ODB）, oscillation emergence bifurcation （OEB） and oscillation aberrance bifurcation （OAB）. Furthermore, changes of the system eigenvalue number due to the bifurcations are also discussed. This work is supported by National Basic Research Program of China （973 Program） （No. 2009CB219701, No. 2010CB234608）, National Natural Science Foundation of China （No. 51277128）, Tianjin Municipal Science and Technology Development Program （No. 09JCZDJC25000）, and Specialized Research Fund for the Doctoral Program of Higher Education of China （No. 20090032110064）.

关 键 词：时滞电力系统 特征值 分岔 预测-校正 

分 类 号：TM711[电气工程—电力系统及自动化]