城际列车多区间节能运行优化方法研究

Energy-saving Operation Optimization Method for Inter-City Train in Multi-Interstation

为了提高城际列车运行的节能性与准点性,研究了一种城际列车多区间节能优化方法。将中间停车站点作为关键点约束,同时以总运行时间约束为边界条件,将列车多区间节能运行优化问题转换为广义上的单区间节能运行优化问题。设计了一种基于极大值原理分析结论的动态规划算法,在保证列车总运行时间不变情况下,实现了全线的最优节能运行操纵策略与时刻表的同步优化。与传统动态规划算法相比,上述算法无需对位置和速度进行双重离散化,只对速度进行离散,有效避免了速度轨迹波动。算法对电分相区内无牵引工况的操纵约束具有很好的兼容性。最后以CRH6A型动车组运行于莞惠线为例进行仿真验证,结果表明,与实车运行数据相比,提出的优化方法节能率可达19.92%。

To improve the energy-saving and punctual operation of inter-city,an energy-saving optimization method of inter-city in multi-interstation was studied.Firstly,the interval stop constraint was introduced as the key point constraint,so that the multi-interstation energy-saving operation optimization problem of inter-city train was transformed into a single-interstation energy-saving operation optimization problem in a broad sense,while using the total running time constraint as the boundary condition.Then,a dynamic programming algorithm based on the analysis conclusion of maximum value principle was designed to optimize the train operation control strategy and timetabling synchronously.For this algorithm,only the velocity is discretized,which effectively avoids the velocity trajectory fluctuation caused by the double discretization of position and velocity in the traditional dynamic programming method.In addition,the algorithm has good compatibility with the operation constraints of the traction-free mode in neutral section.Finally,a simulation with the CRH6 A EMU running on the Wanhui line was carried out Compared with the actual operation results,the proposed method can save more than 19.92%energy.