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电力系统功率极限点的矩阵分裂算法
引用本文:刘永强,吴捷,徐鹏.电力系统功率极限点的矩阵分裂算法[J].华南理工大学学报(自然科学版),2000,28(2):69-74.
作者姓名:刘永强  吴捷  徐鹏
作者单位:LIU Yong_qiang ( Electrical Power College, South China Univ. of Tech., Guangzhou 510640, China;) WU Jie ( Electrical Power College, South China Univ. of Tech., Guangzhou 510640, China;) XU Peng ( Guangdong Electrical Power College, Guangzhou 510520, China)
基金项目:国家重点基础研究专项经费资助项目! (G1 9980 2 0 3 0 8)
摘    要:把增广潮流方程以克服功率极限点处Jacobi阵奇异的扩展方程与矩阵分裂技术相结合,将确定功率极限点的4N+1阶扩展方程的修正方程转化为四个系数矩阵完全相同的2N+1阶方程,不仅克服了潮流Jacobi矩阵在功率极限点的奇异性,而且可以大幅度地提高功率极限点的计算速度,快速、精确地求出极限点处理的潮流解和相应的负荷增加因子。

关 键 词:电力系统  矩阵分裂  算法  功率极限点
文章编号:1000-565X(2000)02-0069-06
修稿时间:1998-07-16

A Matrix Decomposition Algorithm for the Power Limit in a Power System
LIU Yong_qiang ,WU Jie ,XU Peng.A Matrix Decomposition Algorithm for the Power Limit in a Power System[J].Journal of South China University of Technology(Natural Science Edition),2000,28(2):69-74.
Authors:LIU Yong_qiang  WU Jie  XU Peng
Institution:LIU Yong_qiang 1,WU Jie 1,XU Peng 2
Abstract:This paper presents a new algorithm for finding the power limit point in a power system. This algorithm is made by combining extended load flow equations for overcoming singularity at power limit point with matrix decomposition technique for reducing order. The matrix decomposition is achieved by turning modified equations with 4N+1 demensions of nonlineary extended equations into four 2N+1 demensions algebraic equations with same coefficient matrix. This new algorithm not only overcomes singularity of load flow equations at the power limit point but also reduces the demensions of coefficient matrix of modified equations. This algorithm accelerates calculation largely, and the power limit point can be found out correctly.
Keywords:power system  matrix decomposition  bifurcation  algorithm
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