高低限速下的离散控制列车节能操纵问题

Energy-efficient Control of Discrete Controlled Train under Complex Speed Limits

研究列车节能操纵的目的是在一定约束条件下求得使列车运行能耗最低的列车运行曲线。既有研究中通常只考虑列车运行的上限速而忽视下限速,然而无论是出于行车组织亦或是机车运行安全的角度,将列车运行速度下限纳入约束条件有一定的现实意义。论文以高低复杂组合限速为前提,研究了离散控制型列车节能操纵问题。首先,基于离散控制列车的能耗模型,建立了组合限速下的列车节能优化模型;然后,使用拉格朗日乘子法得到组合限速下列车节能操纵的关键方程,通过分析关键方程设计了求解组合限速下列车节能操纵策略的算法,最后通过实例验证了算法的有效性,计算结果表明对离散控制的列车,其节能操纵应由牵引-惰行相互切换的控制方式完成。

The purpose of energy-efficient train control is to obtain a speed profile which minimum the energy consumption for train operation. In existing studies* the maximum speed limits of train operation was usually considered. while the minimum speed limits was ignored. However, it is significance to incorporate the minimum speed limits into consideration, no matter from the aspect of the traffic organization or locomotive safety. This paper describes the energy-efficient control problem of the discrete controlled train. The energy-efficient train control model with complex speed limits which including the maximum speed limit and the minimum speed limit was established based on the fuel-consumption model. The Lagrange multiplier method was used to obtain the key equation of the energy-efficient train operation under complex speed limits. An algorithm for solving this energy-efficient train control problem was proposed by analyzing the key equation. Finally the effectiveness of the algorithm was verified by computer simulations. The result show that the energy-efficient operation of discrete con trolled train should be accomplished by switch between traction and coast.