高速列车监测数据的奇异性特征研究

针对高速列车运行中的状态表征问题，提出基于监测数据的多重分形谱参数描述高速列车状态的新方法，计算了监测数据的多重分形谱，分析了多重分形谱参数与列车状态之间的关联关系，提取了多重分形谱的宽度(Δα)、分形维数差(Δf)和谱偏斜度k3个参数为高速列车状态的特征. 实验结果证明了多重分形谱参数能描述高速列车的运行状态，列车的状态发生了变化，监测数据的多重分形谱参数也随之发生变化.

On the Singularity Characteristics of High-Speed Trains

In order to evaluate in-service performance of high-speed trains, a new method for representing the running state of high-speed trains is proposed based on the multifractal spectrum parameters of the monitoring data is proposed in the paper. The multifractal spectrum of the monitoring data is calculated by using the multifractal theory. The relationship between the multifractal spectrum parameters and the train running states is analyzed, and the multifractal spectrum width Δα, the fractal dimension difference Δf and spectrum skewness k are selected as the characteristics of the high-speed train running states. Experimental results testify that the spectrum parameters can be used to characterize the running state of high-speed trains. When the train running states are changed, the multi-fractal spectrum parameters of the monitoring data are changed accordingly.