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列车运行的优化控制是降低运输成本，提高运输服务质量以及实现轨道交通可持续发展的重要方式. 本文在传统优化速度跟驰模型的基础上，以能量节约为目标提出了一种改进的模拟模型，用以模拟分析城市轨道交通系统中列车运行的优化控制. 所提出的模型是通过在经典的优化速度跟驰模型（见Phys. Rev. E 51 1035 Bando等，1995）中引入新的目标优化速度函数来实现在复杂限速条件下列车运行的优化控制. 数值模拟则是以北京市地铁亦庄线为例，利用亦庄线实测数据开展研究. 结果表明，所提出的模型能够很好地描述复杂限速条件下列车运行的动态特性，模拟测量得到的结果和亦庄线的实测数据较为符合，由此说明所提出模型的有效性. 进一步，通过分析列车运行时空图，列车运行的速度变化及运行时间等，讨论了复杂环境下列车流的时空演化特性.Optimal control of train movement is an important way to reduce transport cost, enhance service level, and realize sustainable development. In this paper, based on traditional optimal velocity car-following model, an improved simulation model is presented, it is used to optimize the velocity control of train movement in urban railway system. The proposed model is established by introducing a new function of objective optimal velocity into the classical optimal velocity model (See Phys. Rev. E 51, 1035, Bando et al, 1995) to realize the optimal control of train movement in complicated conditions. Numerical simulation takes the Beijing City Metro Yi Zhuang line as an example. Here some reality measurement data is used. Results show that the proposed model can well describe the dynamic characteristics of train movement under the complex limited condition. Simulation results are close to reality measurement data. This demonstrates that the proposed model is valid. Further, by analyzing the space-time graph, the change of train velocity and travel time, the evolution characters of train flow under complex conditions are discussed.
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Keywords:
- car-following model /
- train movement /
- optimal control
[1] Adinolfi A, Lamedica R, Modesto C 1998 IEEE Transactions on Power Delivery 13 1536
[2] Kokotovic P, Singh G 1972 IEEE Transactions on Automatic Control 17 92
[3] Hwang H S 1998 IEEE Transactions on Systems, Man, and Cybernetics A: Systems and Humans 28 791
[4] Duarte M A, Sotomayor P X 1999 Optimal Control Applications and Methods 20 283
[5] Howlett P 1996 Automation 3 519
[6] Liu R Golovitcher I M 2003 Transportation Research Part A: Policy and Practice 37 917
[7] Howlett P G 2000 Annals of Operation Research 98 1257
[8] Li K P, Gao Z Y, Mao B H 2007 Chin. Phys. B 16 359
[9] Chang C S, Sim S S 1997 Proceedings-Electric Power Applications 144 65
[10] Cheng J X, Howlett P G 1993 IEEE Transactions Automatic Control 38 1730
[11] Pipes L A 1953 J. Appl. Phys 24 274
[12] Chandler R E, Herman R, Montroll E W 1958 Operational Research 6 165
[13] Newell G F in 1961 Operational Research 9 209
[14] Bando M, Hasebe K, Nakayama A 1995 Phys. Rev. E 51 1035
[15] Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[16] Treiber M, Hennecke A, Helbing D 2000 Phys. Rev. E 62 1805
[17] Tomer E, Safonov L, Havlin S 2000 Phys. Rev. Lett. 84 382
[18] Tang T Q, Huang H J, Shang H Y 2010 Acta Phys. Sin. 59 6003 (in Chinese)[唐铁桥, 黄海军, 尚华艳2010 59 6003]
[19] Yuan N, Hua C C 2012 Acta Phys. Sin. 61 160509 (in Chinese)[袁娜, 化存才2012 61 160509]
[20] Su S, Li X, Tang T, Gao Z Y 2013 IEEE transaction on intelligent transportation system 14 883
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[1] Adinolfi A, Lamedica R, Modesto C 1998 IEEE Transactions on Power Delivery 13 1536
[2] Kokotovic P, Singh G 1972 IEEE Transactions on Automatic Control 17 92
[3] Hwang H S 1998 IEEE Transactions on Systems, Man, and Cybernetics A: Systems and Humans 28 791
[4] Duarte M A, Sotomayor P X 1999 Optimal Control Applications and Methods 20 283
[5] Howlett P 1996 Automation 3 519
[6] Liu R Golovitcher I M 2003 Transportation Research Part A: Policy and Practice 37 917
[7] Howlett P G 2000 Annals of Operation Research 98 1257
[8] Li K P, Gao Z Y, Mao B H 2007 Chin. Phys. B 16 359
[9] Chang C S, Sim S S 1997 Proceedings-Electric Power Applications 144 65
[10] Cheng J X, Howlett P G 1993 IEEE Transactions Automatic Control 38 1730
[11] Pipes L A 1953 J. Appl. Phys 24 274
[12] Chandler R E, Herman R, Montroll E W 1958 Operational Research 6 165
[13] Newell G F in 1961 Operational Research 9 209
[14] Bando M, Hasebe K, Nakayama A 1995 Phys. Rev. E 51 1035
[15] Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[16] Treiber M, Hennecke A, Helbing D 2000 Phys. Rev. E 62 1805
[17] Tomer E, Safonov L, Havlin S 2000 Phys. Rev. Lett. 84 382
[18] Tang T Q, Huang H J, Shang H Y 2010 Acta Phys. Sin. 59 6003 (in Chinese)[唐铁桥, 黄海军, 尚华艳2010 59 6003]
[19] Yuan N, Hua C C 2012 Acta Phys. Sin. 61 160509 (in Chinese)[袁娜, 化存才2012 61 160509]
[20] Su S, Li X, Tang T, Gao Z Y 2013 IEEE transaction on intelligent transportation system 14 883
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