不需雅可比左特征向量的负荷裕度灵敏度新算法  

A Novel Algorithm for System Load Margin Sensitivity Without the Left Eigenvector

作　　者：吴政球[1] 钟浩[2] 陈辉华[3] 

机构地区：[1]湖南大学电气与信息工程学院,湖南省长沙市410082 [2]三峡大学电气与新能源学院,湖北省宜昌市443002 [3]湖南电力公司,湖南省长沙市410007

出　　处：《中国电机工程学报》2013年第28期101-105,16,共5页Proceedings of the CSEE

摘　　要：电力系统静态电压稳定裕度灵敏度是电压稳定分析与控制的关键技术之一。目前广泛采用的负荷裕度灵敏度计算方法依赖于鞍结分岔点雅可比零特征值左特征向量。鞍结分岔点雅可比零特征值左特征向量需要计算2(n 1)个线性方程。如果控制变量个数较少,计算效率较低。提出了一种不需要鞍结分岔点雅可比零特征值左特征向量的负荷裕度灵敏度计算方法。在灵敏度自适应引导求取负荷裕度的最后一步,利用局部曲线拟合及相关高阶灵敏度技术,对弱节点分析得到了负荷裕度与控制参数的灵敏度。多个IEEE测试系统和湖南电网的数值计算结果表明,所提方法有效且实用。The system load margin sensitivity with respect to any control parameter is very important to the system security analysis and control. Currently, the load margin sensitivity calculation is mainly based on the left vector of the zero eigenvalue of the Jacobean matrix at the saddle node bifurcation （SNB）. However the method requires the solution of 2（n-1） linear equations. If the control variables are not too many, the calculation efficiency is very low. A method to calculate the load margin sensitivity without the left vector was proposed in this paper. At the last step of searching SNB by sensitivity guidance approach, using the local curve fitting technique and the related higher order sensitivity of the weak bus voltage, the system load margin sensitivity was obtained. Case studies for IEEE systems and Hunan system indicate that the proposed method is effective and feasible.

关 键 词：电力系统 电压稳定 鞍结分岔 局部曲线拟合 负荷裕度灵敏度 

分 类 号：TM71[电气工程—电力系统及自动化]