中文摘要：

针对交流电气化铁道不同供电方式牵引网，建立统一复合链式电路模型。牵引网中的各种电气元件，包括短路和断线故障，都描述为纵向串联元件或横向并联元件。按照链式电路结构，可方便地利用各电气元件的节点导纳矩阵构建出整个牵引网的数学模型。考虑到回流网络存在较大对地漏泄电导，对牵引网均匀多导体传输线段采用多相等值π型电路。在牵引网端部截断处理上，引入了半无限长多导体传输线的特征导纳矩阵模型，利用相一模变换理论给出相关计算公式。牵引网统一数学模型的建立为进一步研究潮流计算，即一定负荷条件下的电压电流分布奠定了基础，同时该模型也可用于牵引网稳态短路电流计算和谐波谐振等研究。

英文摘要：

A uniform chain circuit model was built for various electric power feeding systems of AC electrified railways. All electrical elements in the traction network, including the short circuit and the conductor break fault, were described conformably by a serial element or a shunt element. According to the chain circuit structure, the mathematical model of the whole network can be assembled conveniently using the nodal admittance matrices of elements. Considering the relatively large leakage conductance of the return circuit to the ground, the multiphase equivalent n-circuits were adopted for the uniform multi-conductor sections of the traction network. The characteristic admittance matrix, which can be calculated by the phase-modal transformation method, was introduced for the truncation treatment at terminals of the feeding system. The proposed mathematical model provides a base for calculating the power flow, i.e. the voltage and current distribution of the traction network under certain load conditions. This model can also be used in researches such as the steady state short circuit calculation and the harmonic resonance analysis.