采用多参数2阶摄动灵敏度的电力系统低频振荡模态分析方法  

Multiple Parameter Modal Analysis of Power System Low-frequency Oscillation Based on the 2nd Order Sensitivity Matrix

作　　者：王彤 马静 王增平 王上行 彭明法 

机构地区：[1]新能源电力系统国家重点实验室(华北电力大学),北京市昌平区102206

出　　处：《中国电机工程学报》2013年第34期205-213,30,共9页Proceedings of the CSEE

基　　金：国家重点基础研究发展计划项目(973项目)(2012CB 215200);国家自然科学基金项目(51277193);中央高校基本科研业务费专项资金项目(11MG01);教育部留学回国人员科研启动基金资助项目(教外司留[2011]1139号);河北自然科学基金项目(E2012502034)~~

摘　　要：针对大规模互联电力系统运行中出现的多参数波动较大,造成低频振荡模态变化情况不易确定等难题,提出一种采用多参数2阶摄动灵敏度的低频振荡模态分析方法。首先推导特征值和特征向量的多参数2阶摄动灵敏度矩阵,在此基础上,计算特征值和特征向量的多参数2阶估计式,并根据该估计式评估电力系统在多参数变化时,系统振荡模态的变化情况。IEEE 4机和16机系统的仿真结果表明,即使系统中多个不确定参数变化较大,该方法也能较为准确地评估系统的小干扰稳定情况,并可据此采取适当的调度措施以改善关键振荡模式的阻尼。同时,该方法避免了2阶灵敏度繁冗的求导计算,求解步骤直接、明确,并且避免了求解高维状态矩阵繁琐的计算过程,节省了计算时间。A novel method was proposed to analyze oscillation modals applying 2nd order sensitivity matrix based multiple parameters, since the changed parameters of large-scale connected power grids made the analysis of low-frequency oscillation modals difficult. The 2nd order sensitivity matrices based multiple parameters for eigenvalue and eigenvector were deduced. On the basis of sensitivity matrices, the computing formulas for the 2nd eigenvalues and eigenvectors were formed to evaluate power system oscillation modals in the case of multiple parameter modification. The simulation results of IEEE four-machine and sixteen-machine systems have demonstrated that the proposed method can evaluate the small signal stability with high accuracy in the case of large multiple parameters modification to guide the dispatchers to improve the damping ratio of dominant modes. Meanwhile, burdensome deviations calculation is avoided in this method so that the solving steps are direct and explicit, and the process of calculating eigenvalues of high order state matrix is avoided. Much time has been saved in computation.

关 键 词：低频振荡 模态分析 灵敏度矩阵 2阶摄动理论 

分 类 号：TM71[电气工程—电力系统及自动化]