基于近似牛顿方向的多区域互联系统的解耦潮流算法  

Decomposition Algorithm for Multi-area System Power Flow Based on Approximate Newton Direction

作　　者：周义博[1] 白易杰 陈鹏良[3] 

机构地区：[1]广东电网公司东莞供电局,东莞523000 [2]南阳电力勘测设计院,南阳473000 [3]天津市电力公司城西供电分公司,天津300113

出　　处：《科学技术与工程》2008年第19期5385-5388,5433,共5页Science Technology and Engineering

摘　　要：针对大规模电网潮流计算提出了一种基于近似牛顿方向的解耦算法。在收敛判据保证前提下,对弱耦合系统能够实现完全解耦;对强耦合系统,不能实现解耦,但可以以子区域雅克比矩阵为预处理器,以近似牛顿方向为初值,采用GMRES算法,能很快得到方程组解。避免了较为复杂的谱半径求解,对解耦判据进行实用化处理。采用IEEE354节点系统,验证了算法的可行性和有效性,表明该算法非常适合大电网潮流计算。A new decomposition algorithm for solving power flow problem of large scale power system based on Generalized Minimal Residual （GMRES） method and approximate Newton direction is presented. According to Newton-Rapbson method, approximate Newton direction is constructed during iteration, and hence the weak coupling system can be fully decomposed. But strong coupling system can be further solved by means of a preconditioned GMRES algorithm. The approximate Newton direction and Jaeobian matrix provide initial values and preeonditioner respectively for this algorithm. Furthermore, a practical decomposition criterion is proposed, and test results on a 354-bus system demonstrate effectiveness of the proposed algorithm. The results shows the proposed algorithm is used to calculation of a large scale power system.

关 键 词：牛顿拉夫逊法 近似牛顿方向 GMRES算法 预处理矩阵 

分 类 号：TM744.1[电气工程—电力系统及自动化]