摘要
提出一种降阶求解静态电压稳定临界点的新技术。其特点是原直接法的(2n+1)维牛顿迭代方程组可降阶为(n+1) 维线性方程组求解。与解高维方程的传统直接法相比该方法计算量小、易于采用稀疏技术实现,适合于大规模电力系统电压稳定临界点的在线求解。另外,还提出一种利用负荷参数的二阶导数进行临界点预测的新方法,解决了直接法各状态变量及右特征向量的初值难于确定的问题。在 1000母线系统上的计算表明该文方法具有良好的收敛性。
A new matrix reduction technique is presented to directly calculate the critical point of power system static voltage stability. The feature of this algorithm is that the orginal Newton iterative equations which is of （2n＋1） dimensions can be solved through （n＋1） dimensional linear equations. Compared with the traditional version with higher dimensions, this approach significantly reduces the computational efforts and is more suitble for online calculation of bulk power systems utilizing sparse technique. In addition, an effective sheme is also proposed to estimate the initial value of state variables and right eigenvector of critical point, which exploit the second derivative of load parameter. Tests on a 1000 bus system exibit the accuracy and good convergency of this technique.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2006年第10期1-6,共6页
Proceedings of the CSEE
基金
国家自然科学基金重大项目(50595412)
美国电力科学研究院合作科研基金项目(EP-P11543/C5729)
关键词
静态电压稳定
鞍结分岔
牛顿法
二阶导数
矩阵降阶
右特征向量
static voltage stability
saddle node bifurcation
newton method
second derivative
matrix reduction
right eigenvector
