刘海军, 胡海涛, 陶海东, 秦潇, 雷鸣, 郭旭刚, 陈刚. 基于多端口等效建模的多所贯通牵引供电系统稳定性分析[J]. 中国电机工程学报, 2025, 45(9): 3460-3471. DOI: 10.13334/j.0258-8013.pcsee.232435
引用本文: 刘海军, 胡海涛, 陶海东, 秦潇, 雷鸣, 郭旭刚, 陈刚. 基于多端口等效建模的多所贯通牵引供电系统稳定性分析[J]. 中国电机工程学报, 2025, 45(9): 3460-3471. DOI: 10.13334/j.0258-8013.pcsee.232435
LIU Haijun, HU Haitao, TAO Haidong, QIN Xiao, LEI Ming, GUO Xugang, CHEN Gang. Stability Analysis of a Multi-sectional Traction Power Supply System Based on Multi-port Equivalent Modeling[J]. Proceedings of the CSEE, 2025, 45(9): 3460-3471. DOI: 10.13334/j.0258-8013.pcsee.232435
Citation: LIU Haijun, HU Haitao, TAO Haidong, QIN Xiao, LEI Ming, GUO Xugang, CHEN Gang. Stability Analysis of a Multi-sectional Traction Power Supply System Based on Multi-port Equivalent Modeling[J]. Proceedings of the CSEE, 2025, 45(9): 3460-3471. DOI: 10.13334/j.0258-8013.pcsee.232435

基于多端口等效建模的多所贯通牵引供电系统稳定性分析

Stability Analysis of a Multi-sectional Traction Power Supply System Based on Multi-port Equivalent Modeling

  • 摘要: 频域阻抗/导纳模型对分析电气化铁路振荡具有重要作用,然而传统阻抗模型在分析多辆机车时通常忽略机车间线路阻抗,网侧阻抗建模简单导致稳定性分析误差较大。此外,在分析贯通供电方式时,由于源/荷阻抗关系简单地通过并联分析计算,误差更为明显。传统忽略线路阻抗的阻抗建模方式无法应对贯通供电方式下多节点多机车并网的稳定性分析,为此,该文提出小信号多端口等效建模方法。首先,根据小信号多端口等效建模理论将系统中的阻抗划分为有源机车阻抗与无源网络阻抗,推导出开环增益矩阵数学模型,利用广义Nyquist准则进行稳定性判定;然后,对比分析典型工况下不同供电方式的稳定性及灵敏度,并分别讨论供电系统及列车系统对车-网稳定性的影响;最后,通过仿真验证理论分析。结果表明,多端口等效建模方法分析传统供电方式与贯通供电方式相较于传统阻抗建模方法均有更好的泛用性及准确性。

     

    Abstract: The frequency domain impedance/admittance model plays an important role in analyzing the oscillation of electrified railways. However, the traditional impedance model usually ignores the line impedance between locomotives when analyzing multiple locomotives, and the simple modelling of grid side impedance leads to a large error in stability analysis. In addition, when analyzing the through power supply mode, the error is more obvious because the source/load impedance relationship is simply calculated by parallel analysis. The traditional impedance modelling method ignoring line impedance cannot deal with the stability analysis of multi-nodes and multi-locomotives connected to the grid under through power supply mode. Therefore, a small signal multiport equivalent modelling method is proposed in this paper. First, according to the small signal multiport equivalent modelling theory, the impedance in the system is divided into active locomotive impedance and passive line impedance. The mathematical model of the open-loop gain matrix is deduced, and the stability is determined by the generalized Nyquist stability criterion. Then, the stability and sensitivity of different power supply modes under typical working conditions are compared and analyzed, and the effects of the power supply system and train system on train-network stability are discussed. Finally, the theoretical analysis is verified by simulation. The results show that the multiport equivalent modelling method has better generality and accuracy than the traditional impedance modelling method.

     

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