对交流牵引供电系统进行统一的数学建模，是实现数字化仿真的关键。以多导体传输线模型为基础，构建了适用于不同供电方式的牵引网统一数学模型；基于牵引变电所端口电气量通用变换关系，推导了适用于不同变压器接线形式和不同相序接入的牵引变电所通用等值电路；在链式网络结构的基础上，建立了交流牵引供电系统仿真通用数学模型，并改进潮流计算方法。以此为基础，开发交流牵引供电仿真软件。实例计算表明，该模型具有良好的通用性和较高的精确度，适用于高速、重载电气化铁道牵引供电系统仿真。

A unified mathematical modeling for AC traction power supply system is the key to the implementation of digital simulation. Based on the model of multi-conductor transmission line, a general mathematical model suitable to traction power networks fed by different power supply modes is established. According to general transform relation among terminal electric quantities of traction substation, the general equivalent circuit suitable to traction substation connected to different winding connection modes of transformers and different phase sequences. Based on chain network structure, a general mathematical model for the simulation of AC traction power supply system is built and the method to calculate power flow is improved. On this basis, the simulation software for AC traction power supply is developed. Calculation results of actual example show the built model possesses good generality and higher simulation accuracy, so it is suitable to the simulation of traction power supply system for high-speed and heavy-haul electrified railway.

“十一五”国家科技支撑计划重大项目(2007BAA12B05)。

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