对称CU三角分解法及其应用  

Symmetrical CU triangular decomposition method and its application

作　　者：陈恳[1] 魏艺君 程思洁 魏倩文 丁戈 CHEN Ken;WEI Yijun;CHENG Sijie;WEI Qianwen;DING Ge(School of Information Engineering,Nanchang University,Nanchang 330031,China;Shangrao Power Company,State Grid Jiangxi Electric Power Corp.,Shangrao 334000,China)

机构地区：[1]南昌大学信息工程学院,江西南昌330031 [2]国网江西省电力公司上饶供电公司,江西上饶334000

出　　处：《南昌大学学报（理科版）》2020年第2期187-192,共6页Journal of Nanchang University(Natural Science)

基　　金：南昌大学研究生创新专项资金资助项目(CX2018154,2019)。

摘　　要：针对CU三角分解法中多数组存放因子阵元素使得元素对应关系不清而不能利用对称矩阵元素关系完成计算的问题、对角元素运算处理不当导致大量除法运算的问题、应用计算公式每次计算一个完整元素使计算过程固化而造成程序编写效率低的问题、计算速度不理想等问题,本文提出对称CU三角分解法。新方法引入CU合成阵;拆分c、u元素计算过程;用四角规则分步计算对角元素和上三角元素而无需计算公式,下三角元素直接赋值而无需计算;改变对角元素的运算方式。新方法大大简化了CU三角分解法的计算过程、免去了程序中的除法计算,可大大提高程序编写效率。将新方法、因子表法和CU三角分解法用于求取IEEE-30^-118节点系统的极坐标PQ分解法潮流,计算结果表明新方法的计算速度远远快于后者。新方法也可用于各工程领域常系数方程的快速求解。Aiming at the problems such as that factor matrices elements in CU triangular decomposition method are stored in several arrays which makes the corresponding relation between the elements unclear and can not be calculated by using the element relation of symmetrical matrix,which improper handling of diagonal elements operations leads to a large number of division operations,which applying the calculation formulas to calculate one complete element at a time solidifies the calculation process and causes low programming efficiency,and all of that make the calculation speed not ideal,a symmetrical CU triangular decomposition method is presented in the paper.It is included that a synthetic matrix is introduced,that c,u element calculation process are split,that the four-angle rule is used to calculate diagonal elements and upper triangular elements step by step without any formula,that lower triangle elements are assigned directly without calculation,that the operation mode on the diagonal elements are changed et al.The new method greatly simplifies the calculation process of CU triangular decomposition method and eliminates the division calculation in the program,and can greatly improve the efficiency of programming.The new method,factor table method and CU triangular decomposition method are applied to obtain the power flow of the PQ decomposition method for IEEE-30^-118 bus systems,the results show that the new method is much faster than the latter.The new method can also be used to solve the constant coefficient equation in various engineering fields.

关 键 词：CU三角分解法 因子表法 四角规则 极坐标PQ分解法 电力系统 

分 类 号：TM711[电气工程—电力系统及自动化]