A method for determination of the matrix coefficients of the A-parameters of a multipole that simulates the impact of the adjacent track circuit

Abstract

This article considers a method for determination of the matrix coefficients of the parameters of a rail-line multipole that has an impact on the adjacent track circuit owing to the appearing asymmetry of the rail line. Depending on the type of asymmetry, the effects may be interfering or hazardous; therefore, consideration of the mutual interference of the track circuits is an urgent problem, since this interference may jeopardize the safety of the railroad traffic. To gain a deeper insight into the process of the signal current flow between the adjacent track circuits, the rail line is considered to be an N-pole. On the basis of the Kirchhoff equations, a set of equations has been derived, and, by simple transformations, a coefficient matrix of the A-parameters of the multipole that simulates the impact of the adjacent track circuit has been obtained. The matrix is convenient for construction of mathematical models. Mathematical modeling of an asymmetric track circuit has been performed, and the results of simulation are presented.