Nonlinear density wave and energy consumption investigation of traffic flow on a curved road

doi:10.1088/1674-1056/26/11/110504

中国物理B ›› 2017, Vol. 26 ›› Issue (11): 110504-110504.doi: 10.1088/1674-1056/26/11/110504

Nonlinear density wave and energy consumption investigation of traffic flow on a curved road

Zhizhan Jin(金智展), Rongjun Cheng(程荣军), Hongxia Ge(葛红霞)

1. Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China;
2. Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies, Nanjing 210096, China;
3. National Traffic Management Engineering and Technology Research Centre Ningbo University Sub-centre, Ningbo 315211, China

收稿日期:2017-03-25 修回日期:2017-06-12 出版日期:2017-11-05 发布日期:2017-11-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11372166), the Scientific Research Fund of Zhejiang Province, China (Grant Nos. LY15A020007 and LY15E080013), the Natural Science Foundation of Ningbo, China (Grant Nos. 2014A610028 and 2014A610022), and the K. C. Wong Magna Fund in Ningbo University, China.

Nonlinear density wave and energy consumption investigation of traffic flow on a curved road

Zhizhan Jin(金智展)^1,2,3, Rongjun Cheng(程荣军)^1,2,3, Hongxia Ge(葛红霞)^1,2,3

1. Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China;
2. Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies, Nanjing 210096, China;
3. National Traffic Management Engineering and Technology Research Centre Ningbo University Sub-centre, Ningbo 315211, China

Received:2017-03-25 Revised:2017-06-12 Online:2017-11-05 Published:2017-11-05
Contact: Hongxia Ge E-mail:gehongxia@nbu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11372166), the Scientific Research Fund of Zhejiang Province, China (Grant Nos. LY15A020007 and LY15E080013), the Natural Science Foundation of Ningbo, China (Grant Nos. 2014A610028 and 2014A610022), and the K. C. Wong Magna Fund in Ningbo University, China.

摘要/Abstract

摘要： A new car-following model is proposed based on the full velocity difference model (FVDM) taking the influence of the friction coefficient and the road curvature into account. Through the control theory, the stability conditions are obtained, and by using nonlinear analysis, the time-dependent Ginzburg-Landau (TDGL) equation and the modified Korteweg-de Vries (mKdV) equation are derived. Furthermore, the connection between TDGL and mKdV equations is also given. The numerical simulation is consistent with the theoretical analysis. The evolution of a traffic jam and the corresponding energy consumption are explored. The numerical results show that the control scheme is effective not only to suppress the traffic jam but also to reduce the energy consumption.

关键词: car-following model, curved road, energy consumption, time-dependent Ginzburg-Landau (TDGL) equation

Abstract: A new car-following model is proposed based on the full velocity difference model (FVDM) taking the influence of the friction coefficient and the road curvature into account. Through the control theory, the stability conditions are obtained, and by using nonlinear analysis, the time-dependent Ginzburg-Landau (TDGL) equation and the modified Korteweg-de Vries (mKdV) equation are derived. Furthermore, the connection between TDGL and mKdV equations is also given. The numerical simulation is consistent with the theoretical analysis. The evolution of a traffic jam and the corresponding energy consumption are explored. The numerical results show that the control scheme is effective not only to suppress the traffic jam but also to reduce the energy consumption.

Key words: car-following model, curved road, energy consumption, time-dependent Ginzburg-Landau (TDGL) equation

中图分类号: (Transport processes)

05.60.-k

05.70.Fh (Phase transitions: general studies) 11.90.+t (Other topics in general theory of fields and particles)

金智展, 程荣军, 葛红霞. Nonlinear density wave and energy consumption investigation of traffic flow on a curved road[J]. 中国物理B, 2017, 26(11): 110504-110504.

Zhizhan Jin(金智展), Rongjun Cheng(程荣军), Hongxia Ge(葛红霞). Nonlinear density wave and energy consumption investigation of traffic flow on a curved road[J]. Chin. Phys. B, 2017, 26(11): 110504-110504.

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Nonlinear density wave and energy consumption investigation of traffic flow on a curved road

Nonlinear density wave and energy consumption investigation of traffic flow on a curved road

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