Abstract:

When environment of ballast is very terrible,the working states of track circuits are difficult to differentiate in spatial domain. In view of this,the time domain finite difference method is used to obtain the time domain solutions of track circuits in this paper. The partial differential equations group is dispersed based on the theory of partial differential equation numerical solution,and a differential formation of track circuits is got. Then time domain responses of track circuits for adjusting state are analyzed according to the boundary conditions of voltage and current at the beginning and terminal. Through an example,voltage changes of the receiving end for the adjusting state are simulated corresponding to different initial electrical parameters. Results show that the solutions of time domain conform to the transmission characteristic of track circuits,therefore this method can provide the theoretical basis for transient analysis on track circuits.

Key words: track circuit, time domain finite difference method, transmission line equation, difference format, solution of time domain, transient analysis

摘要：

针对道床环境较恶劣时,在空间域难以区分轨道电路工作状态的问题,提出基于有限差分法的轨道电路时域解求解方法。利用偏微分方程数值解理论对轨道电路偏微分方程组进行离散,建立轨道电路的差分格式,并根据电压、电流在始端、终端的边界条件对调整态受电端时域电压响应进行分析,得到轨道电路的时域解。在不同初始电气参数下,通过算例仿真分析调整态受电端电压的变化情况,结果表明,所得时域解符合轨道电路的传输特性,可为轨道电路暂态分析提供理论依据。

关键词: 轨道电路, 时域有限差分法, 传输线方程, 差分格式, 时域解, 暂态分析

CLC Number: 

• TP391