采用隐式Cholesky分解的大规模病态潮流计算  

Large-Scale Ill-Conditioned Power Flow Calculation Using Implicit Cholesky Factorization Method

作　　者：张道天 严正[1] 徐潇源 赵文恺[2] 曹路[3] 李建华[3] 

机构地区：[1]电力传输与功率变换控制教育部重点实验室(上海交通大学),上海市闵行区200240 [2]国网上海市电力公司浦东供电公司,上海市浦东新区200120 [3]华东电网有限公司,上海市浦东新区200120

出　　处：《电网技术》2016年第4期1197-1203,共7页Power System Technology

基　　金：高等学校博士学科点专项科研基金资助项目(20120073110020);国家电网公司大电网重大专项资助项目课题(SGCC-MPLG018-2012)~~

摘　　要：Levenberg-Marquardt(LM)方法是一种求解非线性方程组最小二乘解的数值方法,可以提高电力系统潮流计算的收敛性。为了提升LM方法求解病态潮流的计算效率,从注入元和计算时间2个角度比较分析2种不同的LM方法迭代步稀疏求解方案。在此基础上,采用隐式Cholesky分解算法求解LM迭代步,减少冗余计算量,进一步提高LM方法迭代步计算效率,算例通过对大规模电力系统潮流的仿真分析,验证了该方法的正确性和高效性。Levenberg-Marquardt（LM） method is a numerical algorithm for least-squares solution of nonlinear equations. It can be applied to improve convergence of power flow calculation. This paper aims at improving computational efficiency of LM method in large-scale ill-conditioned power flow calculation. Firstly, two existing sparse solution methods in LM iterations are compared in terms of fill-ins and computational efficiency. Then an implicit Cholesky factorization method is proposed to improve matrix factorization speed in LM iterations. With the proposed method, redundant computation in regular methods can be reduced and LM iteration speed accelerated. Numerical results are provided to illustrate accuracy and efficiency of the proposed method.

关 键 词：病态潮流 LM方法 CHOLESKY分解 稀疏技术 计算效率 

分 类 号：TM72[电气工程—电力系统及自动化]