Optimization of Energy Efficiency of Train Travelling Along Slope Using Sequential Quadratic Programming
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摘要: 为了优化列车通过局部陡坡区段的操纵曲线,基于列车运行的动力学理论,充分考虑列车运行的速度、时间等限制条件,建立了基于连续变量的列车牵引能耗计算模型.该模型分析了列车在全区段的能耗构成及其影响因素,以速度、距离、功率为控制变量,满足运行时间和速度等约束,以区段总能耗最低建立了目标函数.通过模型离散化方法,以序列二次规划算法求解列车的动能闯坡点,实现满足区段行车条件下的运行优化.利用实例数据进行了数值仿真分析,结果表明,该模型求解的优化运行曲线,在已有优化的基础上,能再节约能耗1.771 8%,可满足限时、限速条件下列车在区段运行的节能操纵需求.Abstract: A train energy consumption model was developed to optimize the operation curve of trains travelling along a local steep slope section where the decision variables are continuous variables. The model was developed based on the fundamental theory of train dynamics, taking into account the constraints of train operation. Velocity, distance, and power were chosen as control variables whereas running time and train speed were chosen as constraints. The objective function of the model was to minimize the total energy consumption of the train travelling along the local steep slope sections. The problem was first discretized and then the initial position of the train and kinetic energy of the train as it travels uphill were determined using the sequential quadratic programming algorithm. Simulations were carried out to obtain the energy-efficient train operation curve, with witch the energy consumption could be further saved by 1.771 8% on the basis of existing optimization. The results show that the proposed algorithm can be used to maximize the energy efficiency of trains travelling along local steep slope sections within the given constraints.
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Key words:
- optimization /
- train operation /
- energy efficiency /
- optimal control
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