车网耦合下高速铁路牵引网谐波谐振特性研究

Research on Harmonic Resonance Characteristic of High-Speed Railway Traction Net Considering Coupling of Trains and Traction Nets

为分析车网电气耦合关系对高速铁路牵引网谐波谐振特性的影响,基于正弦切割数学模型分析了高速列车四象限变流器脉冲波产生的机理;结合双边傅里叶级数与贝塞尔函数,推导出流入高速列车谐波负荷电流的计算公式,并提出了考虑车网电气耦合关系的诺顿谐波负荷模型。分别基于电流源与诺顿谐波负荷模型对牵引网进行谐波谐振模态分析,结果表明车网耦合关系影响牵引网谐波谐振特性。考虑车网耦合关系,进一步研究了列车运行于不同模式、位置及多车运行时谐波谐振频率的变化规律。最后讨论在分区所、自耦变压器所与变电所分别并联容性、感性与阻性元件对牵引网谐波谐振频率的影响。

To analyze the influences of coupling between trains and traction nets on harmonic resonance characteristics of traction nets used in high-speed railways, the mechanism of four-quadrant converter pulse wave is analyzed based on the sinusoidal cutting model. Combined with the bilateral Fourier series and the Bessel function, the calculation formula of harmonic load current flowing into a high-speed train is derived, and a Norton harmonic load model considering the coupling between trains and traction nets is proposed. Harmonic resonance modal analysis based on both current source and Norton harmonic load models are made, and the results show that the coupling between trains and traction nets produces an effect on harmonic resonance characteristics. Considering the coupling between trains and traction nets, further studies of changes of harmonic resonance frequencies are made when a train runs in different modes, different positions and when several trains run together. In the end, influences of capacitive, inductive and resistive elements separately paralleled in section post, auto-transformer post and power substation on traction-net harmonic resonance frequencies are discussed.