面向单/多列车节能优化建模仿真研究

摘要

Energy-saving optimization of train is the key problem in rail transit,because emergency and irregularity increase total energy consumption.For single-train optimization,a differential equation model is proposed,and the total energy consumption under the best conditions is computed.For multi-train optimization,the model is established by using the genetic algorithm,and the departure time interval H of the lowest total energy consumption is obtained by MATLAB simulation.For peak time,the optimization model is established by using game theroy,and the train gets the lowest energy consumption.At the same time,the optimal train operation diagram is simulated,and the corresponding speed-distance curve is obtained.For train delay,the optimal control scheme is obtained by interior-point method.Simulation results show that the above optimization models can effectively reduce the total energy consumption for single/multi-train.%列车的节能优化是轨道交通中的关键问题,运行中的突发性和不规律性增加了总能耗.针对单列车站间节能优化问题,提出一种微分方程模型,计算出列车在最优状态下的最低总能耗;针对再生能量下的多列车节能优化问题,引用遗传算法思想建立模型,运用MATLAB进行仿真求出一组使所有列车运行总能耗最低的发车时间间隔H,针对早晚高峰问题,运用博弈论思想,建立优化模型,使高峰时期列车运行能耗最低,同时仿真出列车最优运行图及相应速度距离曲线.针对列车延误问题,通过内点法得到最优控制方案.仿真结果表明,与以往节能优化模型相比,改进优化模型能够有效降低单/多列车的总能耗.