以支路为基元的封闭格式潮流算法  

A Closed Format Power Flow Algorithm Based on Branch Models

作　　者：李文博[1] 韩学山[1] 张波[1] 

机构地区：[1]山东大学电气工程学院,山东省济南市250061

出　　处：《电网技术》2012年第3期113-119,共7页Power System Technology

基　　金：国家自然科学基金项目(51077087;51007047)~~

摘　　要：针对潮流修正方程计算中新注入元处理繁琐的问题,以支路微增模型为基元,充分利用极坐标下牛顿潮流计算中因子分解过程、节点编号及稀疏存储三者间的关联,形成封闭格式的潮流算法。该算法采用支路微增模型的修正方程表达,并以追加形式与雅可比矩阵直接关联,无需导纳阵。依据节点编号同因子分解的关联性质,在节点编号的同时,跟踪未来与数值计算关联的拓扑结构,使前代自动定位,回代自动释放,形成封闭的计算格式,以期提高潮流计算算法的性能。以简单6节点电网为例详细阐述封闭计算格式的计算过程,通过3个IEEE标准系统算例,验证了所提方法在内存和计算速度上的优势。To reduce the trouble in coping with newly added elements during the calculation of power flow correction equations, taking micro-increment branch models as basic elements and fully utilizing the incidence among the factorization process of Newton power flow calculation in polar coordinates, the numbering of nodes and the sparse storage, a closed format power flow algorithm is proposed. The proposed algorithm is expressed by correction equations of branch increment models and directly related to Jacobian matrix in additional form, so the admittance matrix is not needed. According to the incidence between node numbers and factorization, in the meantime when nodes are being numbered the topological structure that will be related to numerical calculation is traced to make automatic location of forward substitution operation and automatic releasing of backward operation, thus a closed calculation pattern is formed to improve the performance of power flow algorithm. Taking a simple 6-bus system as example, the process of closed format calculation is expounded. By means of three IEEE standard calculation examples, the superiority of the proposed algorithm in saving memory and speeding up calculation is verified.

关 键 词：潮流计算 稀疏技术 节点编号 LU分解 支路微增模型 

分 类 号：TM71[电气工程—电力系统及自动化]