基于可变预条件处理与Broyden修正技术的不精确牛顿法潮流计算  

Inexact Newton power flow computation based on flexible precondition and Broyden correction technique

作　　者：张志立[1] 吴晓文[2] 李自品[2] 

机构地区：[1]甘肃省电力公司兰州电力公司,甘肃兰州730050 [2]武汉大学电气工程学院,湖北武汉430072

出　　处：《武汉大学学报（工学版）》2011年第4期530-533,537,共5页Engineering Journal of Wuhan University

摘　　要：结合大规模电力系统修正方程组高维超稀疏性的特点,利用Krylov子空间理论,设计出了一种基于可变预条件处理及Broyden修正技术的不精确牛顿法.在重启动GMRES算法迭代求解线性方程组的过程中不断修正预处理子,使其逐步逼近雅可比矩阵的逆,从而改进现有预处理迭代算法的收敛速度.设计不同的预处理子比较不同预处理方法的收敛效果,以IEEE 118节点及IEEE 300节点电力系统为分析对象进行潮流计算.结果表明,可变预条件处理及Bryden修正算法较其他固定预处理算法具有较强的自适应性以及更好的收敛性,对于提高电力系统潮流计算的计算速率十分有利.According to the sparse characteristic of the correction equations of large-scale power system,this paper ultilized Krylov subspace theory and designed an inexact Newton method based on flexible precondition and Broyden correction technique.The choosen preconditioner was gradually corrected during the iteration procedure of restared GMRES algorithm,approching the inverse matrix of Jacobian and modifying the convergency of preconditioned method before.Different preconditoners were compared in IEEE 118-and IEEE 300-bus power systems;and the numerical result shows that,comparing with other precondition method,flexible precondition and Broyden correction method enjoys much better adaptability and convergency characteristic,which would benefit the speed of power flow calculation.

关 键 词：Krylov子空间理论 Broyden修正 可变预条件处理 不精确牛顿法 重启动GMRES算法 潮流计算 

分 类 号：TM744[电气工程—电力系统及自动化]