中文摘要：

在分析无功电源及无功负荷特点的基础上，提出支路无功功率的等值处理方法，即将支路对地导纳等值为无功电源，将支路损耗等值为虚拟负荷，形成无功功率无损网络。根据有功功率分配的解析模型和算法的思想，依据无损网络构造无功顺流分配矩阵，提出无功功率跟踪的解析模型。针对无功电源的特点，给出有功功率顺流分配矩阵异常时的解决方法。该模型不需任何分摊原则，只需通过矩阵分析直接得到解析模型。将该算法应用于4节点系统、IEEEl4、IEEE30节点系统及实际工程算例，结果表明该算法可有效地处理系统中的无功电源及无功负荷，具有工程实用性。

英文摘要：

Based on an analysis of the characteristics of reactive power supplies and reactive loads, this paper presents a method for forming a lossless reactive network using an equivalent technique of modeling the branch admittance as a reactive power supply and the branch power loss as a virtual load. A downstream distribution matrix for a power system is constructed based on its reactive lossless network, and the analytical model and its algorithm for tracing reactive power flow （TRPF） is proposed. A method dealing with the abnormal downstream distribution matrix of active power flow also is discussed. The main advantage of the proposed method is that the matrix theory is used to analyze the TRPF model directly and no assumption on the flow distribution is needed. Case studies of the IEEE14-Bus and IEEE30-Bus systems demonstrate the accuracy and the validity of the proposed method.