节点追加法形成Jacobian逆矩阵的潮流算法

电力网络是由一系列连接关系高度稀疏的节点构成。为了在潮流计算中充分利用这一特性以最大限度地采用稀疏技巧,文章提出一种通过节点追加法来形成Jacobian逆矩阵的潮流算法。该算法以一个节点为基础,逐次添加一个节点,直至网络中所有的节点都添加完毕,最终形成完整的Jacobian逆矩阵。给出了直角坐标和极坐标形式下该算法的推导公式,结果表明:在形成Jacobian逆矩阵的过程中可以充分利用Jacobian矩阵元素排列的高度稀疏特性。以IEEE-30节点系统为例验证了该算法的有效性。

A Novel Power Flow Algorithm Based on Jacobian Inverse Matrix Formed by Bus Additional Method

Power grid is consist of a series of high partially connected buses. In order to make full use of this characteristic tofurthest implement sparse technique in power flow calculation, a novel power flow algorithm based on Jacobian inverse matrix formed bybus additional method is proposed. The proposed algorithm processes Jacobian inverse matrix from one bus, then all bus are added oneby one until the Jacobian inverse matrix is formed. The derivation formulas of the algorithm in rectangular coordinates andpolar-coordinates are given, which shows the algorithm can make full use of sparse arrangement characteristic of Jacobian elements inthe forming process of Jacobian inverse matrix. The test results of IEEE-30 bus system show that the proposed algorithm is effective.