基于傅里叶变换结合Q-D算法的轨道电路暂态分析  

Transient Analysis of Track Circuits Based on FFT & Q-D Algorithm

作　　者：赵斌[1] 张友鹏[1] 

机构地区：[1]兰州交通大学自动化与电气学院,甘肃兰州730070

出　　处：《铁道学报》2016年第3期78-83,共6页Journal of the China Railway Society

基　　金：国家自然科学基金(51247002);2015年兰州交通大学青年科学基金(2015039);中国铁路总公司科技研究开发计划(2015X007-H)

摘　　要：为分析轨道电路暂态响应,对轨道电路传输线方程进行拉氏变换,在复频域求得了轨道电路调整态受电端轨面电压和电流的通解。采用基于傅里叶变换结合Q-D算法的数值拉氏反变换法求得其数值时域解。通过算例仿真结果比较,基于傅里叶变换结合Q-D算法适用不同条件下轨道电路暂态分析,计算精度较高,计算结果符合轨道电路传输特性,是轨道电路暂态分析较好的一种方法。In order to analyze the transient response of track circuit, Laplace transformation was conducted on track circuit transmission equation. The general solution in the comlplex frequency domain was obtained for rail top current and voltage on the receiving end of the track circuit under adjusting state. The time-domain numeri- cal solution of track circuit transmission equation was determined by using numerical inversion of Laplace trans- formation that was based on FFT conjunct with quotient-difference （Q-D） algorithm. Through comparison of numerical simulation results, the FFT ＆ Q-D-based algorithm, with higher calculation precision and the time domain solution in conformity with the transmission characteristics of track circuits, is applicable to the transi- ent analysis of track circuit under different conditions. It provides a perfect method for transient analysis of track circuits.

关 键 词：轨道电路 传输线方程 时域解 数值拉氏反变换 

分 类 号：U284.2[交通运输工程—交通信息工程及控制]