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为了研究电动车组列车的节能操纵策略,以列车牵引能耗最小为优化目标,基于极大值原理推导出列车节能运行的最优工况集。考虑线路限速,通过分析伴随变量的变化规律,得到最优工况的切换原则,并在此基础上设计求解列车节能操纵工况序列的数值算法。仿真算例验证了该算法的有效性以及将其用于在线计算电动车组列车节能速度模式曲线的可行性。
In order to study the energy-saving operation strategy of EMU trains, the optimal energy-saving train operating conditions are derived based on the maximum principle, taking the train energy consumption as the optimization objective. Considering the speed limit of the line, the principle of switching the optimum working condition is obtained by analyzing the variation of the attendant variables. Based on this, a numerical algorithm is proposed to solve the sequence of the train energy saving operating conditions. The simulation example verifies the effectiveness of the algorithm and its feasibility for calculating the energy-saving speed mode curves of electric train units online.