Yu Rao , Qiangqiang Liu , Qingyuan Wang , Tianxiang Li , Mingyu Zhang
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引用次数: 0
Abstract
The key point for the energy-efficient train control (EETC) in a multi-train system is effectively utilizing the output power of other trains. However, obtaining the optimal solution of the EETC problem considering multi-train power flow requires high-precision calculation of the adjoint variables, which is time-consuming. In this paper, we revisit the problem and introduce a speed volatility functional to analyze the shape of the optimal speed profile and the corresponding optimal control modes for the train under different external power and track gradients. Based on this analysis, a fast-solving algorithm is devised. Case studies are conducted to validate our theoretical results, and demonstrate that the proposed algorithm achieves a significant improvement in computational speed (over 99%) compared to the global optimal algorithm (Rao et al., 2023a) while ensuring the energy saving effectiveness.
多列系统节能列车控制的关键是有效利用其他列车的输出功率。然而，考虑多列潮流的EETC问题的最优解需要高精度的伴随变量计算，耗时长。在本文中，我们重新审视了这个问题，并引入了一个速度波动函数来分析在不同外部功率和轨道梯度下列车的最优速度轮廓形状和相应的最优控制模式。在此基础上，设计了一种快速求解算法。通过实例研究验证了我们的理论结果，并证明了所提出的算法在保证节能效果的同时，与全局最优算法（Rao et al., 2023a）相比，计算速度显著提高（超过99%）。
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