“接触网—电力机车”动态系统电磁过程的数学模型(一)

Mathematical Modelling of Electromagnetic Transients in a Dynamic System:Contact Network-Electric Locomotive

提出了交流电气化铁路接触网的数学模型,在计算线路纵向参数对频率的非线性关系时,接触网被视为一个具有分布参数的线路。该线路表示为有限元的形式。研究了“牵引变电站—接触网—电力机车”系统的数学模型,给出了计算曲线与实际线路区段上测得的电磁过程示波图的比较结果,论证了所推荐的数学模型的适用性。

A mathematical model of a current contact network for alternating current electrified railways is proposed,the network beingconsidered as a line with distributed parameters,taking into account a non-linear dependence of longitudinal parameters on the frequency.Theline is represented by a set of finite elements. The mathematical modelling of the system 《traction substation-contact network-electriclocomotive》 is carried out,and the comparison of the calculated curves with the oscillograms of the same processes taken on actual sections ofrailways is given.The adequacy of the proposed model is substantiated.