【摘要】 以高速铁路发展为背景,从高速、快捷、安全、舒适的乘车环境出发,分析了高速行驶的列车电力供应问题,提出安全稳定的受流条件是列车正常运行的前提。建立了高速铁路受电弓/接触网系统动力学模型,以Mathieu方程为基础,采用摄动法推导出弓网系统稳定边界,并求得了系统的周期解,采用实际接触网、受电弓以及列车运行速度等参数,得到一组弓网系统稳定受流曲线。为深入分析系统的稳定性,又对系统的Lyapunov特征指数进行计算,得出不同参数下的Lyapunov特征指数,从而提出了列车的最佳运行速度和最不利运行速度,为进一步研究高速铁路弓网系统的稳定安全受流及设计新一代受电弓提供了参考更多还原

【Abstract】 In view of the rapid development of high speed railway, the power supply of the high speed train is analyzed according to the requests of high driving velocity, safety and comfort. It is considered that the stable current collection is the prerequisite for the train running. The model of high speed railway pantograph catenary’s system is established and analyzed using the perturbation method. From Mathieu equation, the stable regions and periodic solution of the dynamics system are obtained. By adopting the actual parameters of the pantograph catenary’s system, the stable current collection curves are calculated. In order to further study the stability of the system, the Lyapunov exponents of an actual pantograph catenary’s system are analyzed and calculated, the optimum and the most disadvantageous velocities of the train are gained, which would be very useful in the study of the stable current collection for high speed rail vehicle and would provide a better reference in designing new type of pantograph.更多还原