Model of Propagation of Traction Current Harmonics from Trains to a Track Circuit Receiver

The problem considered in the work is related to ensuring the electromagnetic compatibility of new types of rolling stock with track circuits. The article presents a mathematical model for propagation of traction current harmonics in asymmetric rail line from multiple rolling stock units to a track circuit receiver. To simulate the distribution of return traction current harmonics in longitudinally inhomogeneous and asymmetric rail lines, a large number of parameters are required that characterize a specific design of a traction network and track circuits, which makes the task difficult for practical implementation. The mathematical model proposed in this work can be conditionally divided into three parts. In the first part, the distribution of the total traction current harmonic in both rails from all rolling stock units located in a feeder zone is determined without considering rails asymmetry. In the second, the distribution of traction current harmonics in rails, considering their electrical asymmetry, is determined for the problem track section. And in the third part, the propagation of the traction current harmonics from the rails to the track circuit receiver is investigated. The adequacy of the developed model was verified by comparing the results of calculations and measurements