电力系统的多重(维)鞍结分岔点及其特征分析  

Power System Multiple Saddle-Node Bifurcation Point and Its Characteristic Analysis

作　　者：衣涛[1] 王承民[1] 谢宁[1] 张焰[1] 

机构地区：[1]上海交通大学电气工程系,上海200240

出　　处：《电工技术学报》2015年第20期145-150,共6页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金青年科学基金资助项目(51307108)

摘　　要：电力系统平衡解曲线的显式表达对鞍结分岔点性态的研究至关重要。本文通过引入支路电流变量,将节点电压方程表示成一元二次的形式,得到以支路电流为参数的电力系统平衡解曲线显式表达式,进一步对鞍结分岔进行节点特征描述,通过定义鞍结分岔点的重数(维数)和雅可比矩阵的特征值分析,说明鞍结分岔点的重(维)数与雅可比矩阵特征值为零的对数是相同的,多重(维)鞍结分岔点代表系统更临近的稳定边界,并提出多重(维)鞍结分岔点的降维求解算法。仿真计算表明,本文所提出的方法是正确的。The explicit expression of equilibrium solution curve is very important to the study of saddle-node bifurcation point. In this paper, the node voltage equations express as quadratic form through introducing branch current variables, and obtain the explicit expression of power system solutions curve which parameter is branch current. Then, describe the characteristics of saddle-node bifurcation. The dimension of saddle-node bifurcation point is same with the number ofjacobian matrix zero eigenvalue by defining the dimension and jacobian matrix eigenvalue analysis. The multiple saddle-node bifurcation point is more close to the stability boundary of power system. We put forward the dimensionality reduction algorithm of multiple saddle-node bifurcation point. The simulation results show that the presented method is correct.

关 键 词：平衡解曲线 支路电流 鞍结分岔点 重(维)数 雅可比矩阵特征值 

分 类 号：TM711[电气工程—电力系统及自动化]