一种可在线调整的列车正点运行节能操纵控制算法

摘要

在给定列车站间运行时分的前提下,以能耗和时间成本最小为优化目标,以列车牵引力、制动力和速度为约束函数,建立基于列车受力特征函数的运动方程.运用动态规划法和二分法,通过回溯计算,建立回溯记录表和调整目标函数价值关系系数,设计列车离线最优节能操纵和正点运行在线调整的控制算法.算例分析以及与基于极大值原理的正点节能方案对比结果表明,给出的算法不仅可以获得与传统算法相似的离线最优节能操纵方案,而且可以对外界干扰做出动态响应,在线调整运行轨迹,在保证正点的前提下控制列车节能运行.%To minimize the energy consumption and time costs with given inter-station operational time,the motion equation was set up based on the force characteristic function of train under the constraint functions of train traction force,brake force and speed.Applying dynamic programming and bisection method,the on-line adjustable control algorithm for train off-line optimal energy saving and on-time operations was designed by backtrack calculation,backtrack record chart and adjusting the value correlation coefficient of object function.Case study as well as the comparison results with on-time and energy saving schemes based on maximum principle show that,the proposed algorithm not only can obtain off-line optimal energy saving control scheme similar to that by traditional algorithm,but also can make dynamic response to external interferences.It can on-line adjust the running track to ensure the energy saving operation of train under the premise of on-time operation.