基于极大值原理的电动车组节能操纵

Energy Saving Control of Electric Multiple Unit Train Based on Maximum Principle

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 control strategy of Electric Multiple Unit(EMU)train,with minimizing the traction energy consumption of train as the optimization goal,a set of optimal operation states of train was deduced using Pontryagin maximum principle.By analyzing the change laws of adjoint variables with consideration of route speed limitations,the switching principles of optimal EMU train operation states were obtained.On this basis,a numerical algorithm was proposed to solve the optimal sequence of train energy saving operation states.The simulation example verified the effectiveness of the proposed algorithm and the feasibility of applying the algorithm to on-line calculation of energy saving mode profiles for EMU trains.