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Zixuan ZHANG, Yuan CAO, and Shuai SU, “Energy-Efficient Driving Strategy for High-Speed Trains with Considering the Checkpoints,” Chinese Journal of Electronics, vol. 33, no. 3, pp. 1–12, 2024 doi: 10.23919/cje.2022.00.174
Citation: Zixuan ZHANG, Yuan CAO, and Shuai SU, “Energy-Efficient Driving Strategy for High-Speed Trains with Considering the Checkpoints,” Chinese Journal of Electronics, vol. 33, no. 3, pp. 1–12, 2024 doi: 10.23919/cje.2022.00.174

Energy-Efficient Driving Strategy for High-Speed Trains with Considering the Checkpoints

doi: 10.23919/cje.2022.00.174
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  • Author Bio:

    Zixuan ZHANG received the B.E. degree from Agricultural University of Hebei, China, in 2018. Now, he is currently studying toward the Ph.D. degree with the State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University. His current research interests include intelligent control, machine learning, and energy-efficient train operation in railway systems. (Email: 20111068@bjtu.edu.cn)

    Yuan CAO received his B.S. degree in electric engineering and automation from Dalian Jiaotong University and Ph.D. degree in traffic information engineering and control from Beijing Jiaotong University in 2004 and 2011 respectively, where he is now a Professor. Since 2006, he has participated in many engineering practice, especially in the signal and communication system of high-speed railway. He has taken part in several key national research projects in the field of high-speed train control systems. His research interests include health management in train control systems. (Email: ycao@bjtu.edu.cn)

    Shuai SU received the Ph.D. degree from Beijing Jiaotong University, Beijing, China, in 2016. He is currently working as the deputy director in the Frontiers Science Center for Smart High-speed Railway System, Beijing Jiaotong University. His current research interests include energy-efficient operation and control in railway systems, intelligent train control and dispatching. (Email: shuaisu@bjtu.edu.cn)

  • Corresponding author: Email: shuaisu@bjtu.edu.cn
  • Received Date: 2022-06-20
  • Accepted Date: 2023-04-04
  • Available Online: 2023-05-11
  • With rising energy prices and concerns about environmental issues, energy-efficient driving strategies (EEDS) for high-speed trains have received a substantial amount of attention. In particular, energy-saving schemes play a huge role in reducing the energy and operating costs of trains. This article studies the EEDS of high-speed trains at a given time. A well-posed model is formulated, in which the constraints of the checkpoints, in addition to the speed limits, vehicle dynamics, and discrete control throttle, are first considered. For a given control sequence, the Karush-Kuhn-Tucker (KKT) conditions are used to obtain the necessary conditions for an EEDS. According to several key equations of the necessary conditions, the checkpoint constraints are satisfied. Some case studies are conducted based on the data of the Beijing-Shanghai high-speed line to illustrate the effectiveness of the proposed approach.
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  • [1]
    Y. K. Sun, Y. Cao, G. Xie, et al., “Condition monitoring for railway point machines based on sound analysis and support vector machine,” Chinese Journal of Electronics, vol. 29, no. 4, pp. 786–792, 2020. doi: 10.1049/cje.2020.06.007
    [2]
    T. Wen, G. Xie, Y. Cao, et al., “A DNN-based channel model for network planning in train control systems,” IEEE Transactions on Intelligent Transportation Systems, vol. 23, no. 3, pp. 2392–2399, 2022. doi: 10.1109/TITS.2021.3093025
    [3]
    Y. K. Sun, Y. Cao, and P. Li, “Fault diagnosis for train plug door using weighted fractional wavelet packet decomposition energy entropy,” Accident Analysis & Prevention, vol. 166, article no. 106549, 2022. doi: 10.1016/j.aap.2021.106549
    [4]
    Y. Cao, Y. K. Sun, G. Xie, et al., “A sound-based fault diagnosis method for railway point machines based on two-stage feature selection strategy and ensemble classifier,” IEEE Transactions on Intelligent Transportation Systems, vol. 23, no. 8, pp. 12074–12083, 2022. doi: 10.1109/TITS.2021.3109632
    [5]
    Y. Cao, J. K. Wen, and L. C. Ma, “Tracking and collision avoidance of virtual coupling train control system,” Future Generation Computer Systems, vol. 120, pp. 76–90, 2021. doi: 10.1016/j.future.2021.02.014
    [6]
    Y. Cao, J. K. Wen, A. Hobiny, et al., “Parameter-varying artificial potential field control of virtual coupling system with nonlinear dynamics,” Fractals, vol. 30, no. 2, article no. 2240099, 2022. doi: 10.1142/S0218348X22400990
    [7]
    R. F. Liu and I. M. Golovitcher, “Energy-efficient operation of rail vehicles,” Transportation Research Part A:Policy and Practice, vol. 37, no. 10, pp. 917–932, 2003. doi: 10.1016/j.tra.2003.07.001
    [8]
    P. Howlett, “The optimal control of a train,” Annals of Operations Research, vol. 98, no. 1–4, pp. 65–87, 2000. doi: 10.1023/A:1019235819716
    [9]
    A. R. Albrecht, P. G. Howlett, P. J. Pudney, et al., “Energy-efficient train control: From local convexity to global optimization and uniqueness,” Automatica, vol. 49, no. 10, pp. 3072–3078, 2013. doi: 10.1016/j.automatica.2013.07.008
    [10]
    A. Albrecht, P. Howlett, P. Pudney, et al., “The key principles of optimal train control-part 2: Existence of an optimal strategy, the local energy minimization principle, uniqueness, computational techniques,” Transportation Research Part B: Methodological, vol. 94, pp. 509–538, 2016. doi: 10.1016/j.trb.2015.07.024
    [11]
    A. Albrecht, P. Howlett, P. Pudney, et al., “The key principles of optimal train control-part 1: Formulation of the model, strategies of optimal type, evolutionary lines, location of optimal switching points,” Transportation Research Part B: Methodological, vol. 94, pp. 482–508, 2016. doi: 10.1016/j.trb.2015.07.023
    [12]
    P. G. Howlett, P. J. Pudney, and X. Vu, “Local energy minimization in optimal train control,” Automatica, vol. 45, no. 11, pp. 2692–2698, 2009. doi: 10.1016/j.automatica.2009.07.028
    [13]
    P. Howlett, “A new look at the rate of change of energy consumption with respect to journey time on an optimal train journey,” Transportation Research Part B: Methodological, vol. 94, pp. 387–408, 2016. doi: 10.1016/j.trb.2016.10.004
    [14]
    E. Khmelnitsky, “On an optimal control problem of train operation,” IEEE Transactions on Automatic Control, vol. 45, no. 7, pp. 1257–1266, 2000. doi: 10.1109/9.867018
    [15]
    J. X. Cheng and P. Howlett, “Application of critical velocities to the minimisation of fuel consumption in the control of trains,” Automatica, vol. 28, no. 1, pp. 165–169, 1992. doi: 10.1016/0005-1098(92)90017-A
    [16]
    J. X. Cheng and P. Howlett, “A note on the calculation of optimal strategies for the minimization of fuel consumption in the control of trains,” IEEE Transactions on Automatic Control, vol. 38, no. 11, pp. 1730–1734, 1993. doi: 10.1109/9.262051
    [17]
    J. Cheng, Y. Davydova, P. Howlett, et al., “Optimal driving strategies for a train journey with non-zero track gradient and speed limits,” IMA Journal of Management Mathematics, vol. 10, no. 2, pp. 89–115, 1999. doi: 10.1093/imaman/10.2.89
    [18]
    P. G. Howlett, J. Cheng, and P. J. Pudney, “Optimal strategies for energy-efficient train control,” in Control Problems in Industry, Boston, MA, USA, pp.151–178, 1995.
    [19]
    P. G. Howlett, I. P. Milroy, and P. J. Pudney, “Energy-efficient train control,” Control Engineering Practice, vol. 2, no. 2, pp. 193–200, 1994. doi: 10.1016/0967-0661(94)90198-8
    [20]
    P. Howlett, “Optimal strategies for the control of a train,” Automatica, vol. 32, no. 4, pp. 519–532, 1996. doi: 10.1016/0005-1098(95)00184-0
    [21]
    P. G. Howlett and J. Cheng, “Optimal driving strategies for a train on a track with continuously varying gradient,” The ANZIAM Journal, vol. 38, no. 3, pp. 388–410, 1997. doi: 10.1017/S0334270000000746
    [22]
    H. Ko, T. Koseki, and M. Miyatake, “Application of dynamic programming to optimization of running profile of a train,” in Computers in Railways IX, WIT Press, Ashurst, Southampton, UK, pp.103-112, 2004.
    [23]
    Y. H. Wang, B. De. Schutter, T. J. J. van den Boom, et al., “Optimal trajectory planning for trains-a pseudospectral method and a mixed integer linear programming approach,” Transportation Research Part C: Emerging Technologies, vol. 29, pp. 97–114, 2013. doi: 10.1016/j.trc.2013.01.007
    [24]
    C. S. Chang and S. S. Sim, “Optimising train movements through coast control using genetic algorithms,” IEE Proceedings - Electric Power Applications, vol. 144, no. 1, pp. 65–73, 1997. doi: 10.1049/ip-epa:19970797
    [25]
    B. R. Ke, M. C. Chen, and C. L. Lin, “Block-layout design using MAX-MIN ant system for saving energy on mass rapid transit systems,” IEEE Transactions on Intelligent Transportation Systems, vol. 10, no. 2, pp. 226–235, 2009. doi: 10.1109/TITS.2009.2018324
    [26]
    Z. Y. Zhu, S. Su, T. Tang, et al., “An eco-driving algorithm for trains through distributing energy: A Q-learning approach,” ISA Transactions, vol. 122, pp. 24–37, 2021. doi: 10.1016/j.isatra.2021.04.036
    [27]
    S. Su, X. Li, T. Tang, et al., “A subway train timetable optimization approach based on energy-efficient operation strategy,” IEEE Transactions on Intelligent Transportation Systems, vol. 14, no. 2, pp. 883–893, 2013. doi: 10.1109/TITS.2013.2244885
    [28]
    S. Su, T. Tang, L. Chen, et al., “Energy-efficient train control in urban rail transit systems,” Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, vol. 229, no. 4, pp. 446–454, 2015. doi: 10.1177/0954409713515648
    [29]
    S. Su, T. Tang, and C. Roberts, “A cooperative train control model for energy saving,” IEEE Transactions on Intelligent Transportation Systems, vol. 16, no. 2, pp. 622–631, 2015. doi: 10.1109/TITS.2014.2334061
    [30]
    S. Su, X. K. Wang, Y. Cao, et al., “An energy-efficient train operation approach by integrating the metro timetabling and eco-driving,” IEEE Transactions on Intelligent Transportation Systems, vol. 21, no. 10, pp. 4252–4268, 2020. doi: 10.1109/TITS.2019.2939358
    [31]
    Y. K. Sun, Y. Cao, G. Xie, et al., “Sound based fault diagnosis for RPMs based on multi-scale fractional permutation entropy and two-scale algorithm,” IEEE Transactions on Vehicular Technology, vol. 70, no. 11, pp. 11184–11192, 2021. doi: 10.1109/TVT.2021.3090419
    [32]
    I. P. Milroy, “Aspects of automatic train control,” Doctoral Thesis, Loughborough University, Loughborough, UK, 1980.
    [33]
    I. A. Asnis, A. V. Dmitruk, N. P. Osmolovskii, et al., “Solution of the problem of the energetically optimal control of the motion of a train by the maximum principle,” USSR Computational Mathematics and Mathematical Physics, vol. 25, no. 6, pp. 37–44, 1985. doi: 10.1016/0041-5553(85)90006-0
    [34]
    J. Q. Liu, Y. L. Wei, and H. Hu, “Research on optimization control method of energy-saving operation of high-speed trains,” Journal of the China Railway Society, vol. 36, no. 10, pp. 7–12, 2014. (in Chinese) doi: 10.3969/j.issn.1001-8360.2014.10.002
    [35]
    L. Li, W. Dong, Y. D. Ji, et al., “A minimal-energy driving strategy for high-speed electric train,” Journal of Control Theory and Applications, vol. 10, no. 3, pp. 280–286, 2012. doi: 10.1007/s11768-012-1129-0
    [36]
    L. Li, W. Dong, Y. D. Ji, et al., “Minimal-energy driving strategy for high-speed electric train with hybrid system model,” IEEE Transactions on Intelligent Transportation Systems, vol. 14, no. 4, pp. 1642–1653, 2013. doi: 10.1109/TITS.2013.2265395
    [37]
    W. X. Li and Q. Y. Peng, “Research on the optimal eco-driving strategy of high-speed trains,” Journal of Transportation Engineering and Information, vol. 16, no. 1, pp. 44–48, 2018. (in Chinese) doi: 10.3969/j.issn.1672-4747.2018.01.007
    [38]
    Q. Y. Wang, X. Y. Feng, J. L. Zhu, et al., “Simulation study on optimal energy-efficient control of high speed train considering regenerative brake energy,” China Railway Science, vol. 36, no. 1, pp. 96–103, 2015. (in Chinese) doi: 10.3969/j.issn.1001-4632.2015.01.14
    [39]
    Y. Cao, Z. X. Zhang, C. L. Cheng, et al., “Trajectory optimization for high-speed trains via a mixed integer linear programming approach,” IEEE Transactions on Intelligent Transportation Systems, vol. 23, no. 10, pp. 17666–17676, 2022. doi: 10.1109/TITS.2022.3155628
    [40]
    J. A. Schetz, “Aerodynamics of high-speed trains,” Annual Review of Fluid Mechanics, vol. 33, pp. 371–414, 2001. doi: 10.1146/annurev.fluid.33.1.371
    [41]
    Y. K. Sun, Y. Cao, and L. C. Ma, “A fault diagnosis method for train plug doors via sound signals,” IEEE Intelligent Transportation Systems Magazine, vol. 13, no. 3, pp. 107–117, 2021. doi: 10.1109/MITS.2019.2926366
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