journal article·2023-06-23Open access

Optimal Control Algorithm for Subway Train Operation by Proximal Policy Optimization

Bin Chen, Chunhai Gao, Lei Zhang, Junjie Chen, Jun Chen, Yuyi Li

Applied Sciences· Volume 13· Issue 13

Abstract

With the increasing scale of the urban subway, the total energy consumption of the subway has increased dramatically and poses a great challenge to the comfort of passengers and the punctuality of train operation. In order to ensure on-time train operation and passenger comfort, and at the same time reduce the energy consumption of subway operation, this paper proposes a Proximal Policy Optimization (PPO)-based optimization algorithm for the optimal control of subway train operation. Firstly, a reinforcement learning architecture for optimal control of subway train operation is constructed with the position and speed of train operation as the reinforcement learning state, energy consumption and comfort as the optimization objectives, and train operation time as the constraint. The proposed reinforcement learning model is trained by the PPO algorithm, and the reward scaling is added to the training process to accelerate the training speed and improve the efficiency of the algorithm. The experimental results show that the proposed PPO with reward scaling algorithm can effectively reduce train energy consumption and improve passenger comfort while ensuring on-time train operation.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Railway Systems and Energy Efficiency · Transportation Planning and Optimization · Traffic Prediction and Management Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing 100044, China

Traffic Control Technology Co., Ltd., Beijing 100070, China

National Engineering Research Center of Rail Transportation Operational and Control System, Beijing 100044, China

School of Vehicle and Mobility, Tsinghua University, Beijing 100084, China

School of Automobile and Traffic Engineering, Jiangsu University of Technology, Changzhou 213001, China

Funding

National Natural Science Foundation of China · Fundamental Science (Natural Science) Research Project of Jiangsu Higher Education Institutions · Open Project Fund of National International Science and Technology Cooperation Base on Railway Vehicle Operation Engineering of Beijing Jiaotong University

References (31)

Show source-provided references
1. An intelligent train operation method based on event-driven deep reinforcement learning10.1109/TII.2021.3138098 ↗
2. Application of optimization theory for bounded state variable problems to the operation of train10.1299/jsme1958.11.857 ↗
3. Computation of optimal controls of a railroad locomotive
4. Energy-saving operation approaches for urban rail transit systems10.1007/s42524-019-0030-7 ↗
5. Increasing energy efficiency in urban rail transit by integrated speed profile optimization and traveling time distribution
6. Definition of energy-efficient speed profiles within rail traffic by means of supply design models10.1016/j.retrec.2015.10.024 ↗
7. Amrani, A., Hamida, A.B., Liu, T., and Langlois, O. (2018, January 16–19). Train speed profiles optimization using a genetic algorithm based on a random-forest model to estimate energy consumption. Proceedings of the Transport Research Arena (TRA), Vienna, Austria.
8. Integrated optimization on train control and timetable to minimize net energy consumption of metro lines10.1155/2018/7905820 ↗
9. Optimal speed profile determination with fixed trip time in the electric train operation of the cat linh-ha dong metro line based on pontryagin’s maximum principle10.48084/etasr.3856 ↗
10. A novel method for determining fixed running time in operating electric train tracking optimal speed profile10.11591/ijece.v11i6.pp4881-4890 ↗
11. Simulation-based multistage optimization model for railroad alignment design and operations10.1061/JTEPBS.0000380 ↗
12. The effect of using the tabu search algorithm on the speed of achieving the optimal train speed profile (in order to reduce energy consumption)
13. Optimal running time supplement distribution in train schedules for energy-efficient train control
14. Energy-efficient train control using nonlinear bounded regenerative braking10.1016/j.trc.2020.102852 ↗
15. Improvement of the energy efficiency of subway traction systems through the use of genetic algorithm in traffic control10.1007/s40313-018-00429-8 ↗
16. Chen, M., Fang, Q., He, T., Guo, Y., Wang, Q., and Sun, P. (2021, January 19–22). Integrated optimization of train speed profile and timetable considering the location of substations. Proceedings of the 2021 IEEE International Intelligent Transportation Systems Conference (ITSC), Indianapolis, IN, USA.10.1109/ITSC48978.2021.9564452 ↗
17. Energy-efficient train control in urban rail transit systems10.1177/0954409713515648 ↗
18. Integrated optimal design of speed profile and fuzzy pid controller for train with multifactor consideration10.1109/ACCESS.2020.3017193 ↗
19. Automatic train operation speed profile optimization and tracking with multi-objective in urban railway10.3311/PPtr.12039 ↗
20. Wu, Z., Gao, C., and Tang, T. (2021). An optimal train speed profile planning method for induction motor traction system. Energies, 14.10.3390/en14165153 ↗
21. Liu, X., Xun, J., Ning, B., Liu, T., and Xiao, X. (2018, January 12–14). Moving horizon optimization of train speed profile based on sequential quadratic programming. Proceedings of the 2018 International Conference on Intelligent Rail Transportation (ICIRT), Singapore.10.1109/ICIRT.2018.8641550 ↗
22. Wang, W., Zeng, X., Shen, T., and Liu, L. (2018, January 4–7). Energy-efficient speed profile optimization for urban rail transit with considerations on train length. Proceedings of the 2018 21st International Conference on Intelligent Transportation Systems (ITSC), Maui, HI, USA.10.1109/ITSC.2018.8569634 ↗
23. Arıkan, Y., and Çam, E. (2019, January 11–13). Optimizing of speed profile in electrical trains for energy saving with dynamic programming. Proceedings of the 2019 3rd International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT), Ankara, Turkey.10.1109/ISMSIT.2019.8932874 ↗
24. Smartdrive: Traction energy optimization and applications in rail systems10.1109/TITS.2019.2897279 ↗
25. Application of regenerative braking with optimized speed profiles for sustainable train operation10.1155/2021/8555372 ↗
26. Ma, S., Ma, F., and Tang, C. (2023). An Energy-Efficient Optimal Operation Control Strategy for High-Speed Trains via a Symmetric Alternating Direction Method of Multipliers. Axioms, 12.10.3390/axioms12050489 ↗
27. Hao, W., Meng, L., and Tan, T. (2020). Optimizing Minimum Headway Time and Its Corresponding Train Timetable for a Line on a Sparse Railway Network. Symmetry, 12.10.3390/sym12081223 ↗
28. Schulman, J., Wolski, F., Dhariwal, P., Radford, A., and Klimov, O. (2017). Proximal policy optimization algorithms. arXiv.
29. Schulman, J., Levine, S., Abbeel, P., Jordan, M., and Moritz, P. (2015, January 7–9). Trust region policy optimization. Proceedings of the 2015 International Conference on Machine Learning, Lille, France.
30. Kakade, S., and Langford, J. (2002, January 8–12). Approximately optimal approximate reinforcement learning. Proceedings of the Nineteenth International Conference on Machine Learning, Sydney, Australia.
31. Engstrom, L., Ilyas, A., Santurkar, S., Tsipras, D., Janoos, F., Rudolph, L., and Madry, A. (2020). Implementation matters in deep policy gradients: A case study on ppo and trpo. arXiv.