电力系统功率分配的解析模型和算法

基于顺流分配矩阵提出一种有效快速的潮流跟踪解析模型及求解算法,并给出顺流分配矩阵、发电机出力矩阵和负荷矩阵等的构造方法及其相互间的关系,以此计算潮流跟踪分配系数矩阵,即可建立发电机对负荷分配的解析模型及求解算法.该模型直接解析表达了发电机出力与负荷功率间的解析关系,且可给出发电机对线路的功率分配关系.文中用定理证明了算法的正确性,保证了算法的可行性.该模型不需任何分摊原则,如：比例分摊原则等,而是通过矩阵分析直接得到解析模型.应用IEEE-14、IEEE-RTS系统及改变的IEEE-14环流系统证实了算法的有效性和正确性;同时,算例还证实了文中方法可用于无环流网络和环流网络,拓展了算法的应用范围.

EFFICIENT ANALYTICAL MODEL AND ALGORITHM FOR DISTRIBUTING POWER USING THE DOWNSTREAM DISTRIBUTION MATRIX

This paper proposes an efficient analytical model and its algorithm for tracing power flow(TPF) using downstream distribution matrix(DDM). The structures of DDM, diagonal generation matrix and diagonal load matrix and the characteristics of these matrices are discussed. Based on the lemmas the distribution factor matrix (DFM) is derived so that the analytical model of power transfer between generators, lines and loads can be built. The main advantage of the proposed method is that the matrix theory is used to directly analyze the TPF model and no assumption(such as proportional sharing principle) on the flow distribution is needed. Two theorems have been proved and these verify the correctness and feasibility of the proposed method. The method has been tested using the IEEE14-Bus system, IEEE-RTS system, and the modified IEEE14-Bus system with loopflows. The case studies show that the developed technique can be extensively applied to any power system with or without loop flows.