Journal of Jilin University(Engineering and Technology Edition) ›› 2024, Vol. 54 ›› Issue (5): 1285-1292.doi: 10.13229/j.cnki.jdxbgxb.20220770

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An improved car⁃following model for connected and automated vehicles considering impact of multiple vehicles

Yun PU1,2,3(),Yin XU1,2,3,Hai-xu LIU1,2,3(),Yi-fan TAN1,2,3,4   

  1. 1.School of Transportation and Logistics,Southwest Jiaotong University,Chengdu 610031,China
    2.National Engineering Laboratory of Application Technology of Integrated Transportation Big Data SWJTU,Southwest Jiaotong University,Chengdu 611756,China
    3.National United Engineering Laboratory of Integrated and Intelligent Transportation,Southwest Jiaotong University,Chengdu 610031,China
    4.Department of Civil and Environment Engineering,University of Wisconsin-Madison,Madison 53706,USA
  • Received:2022-06-20 Online:2024-05-01 Published:2024-06-11
  • Contact: Hai-xu LIU E-mail:ypu@home.swjtu.edu.cn;hxliu@swjtu.edu.cn

Abstract:

To study the impact of connected autonomous vehicle (CAV) on traffic flow, based on the intelligent driver model (IDM), a car-following model for CAV is constructed by considering the rear vehicle and velocity difference of multiple front vehicles simultaneously. Then critical stability condition is deduced by applying the linear stability analysis theory. Taking a rear vehicle and five-head vehicles into consideration, the numerical simulation is performed. The results show that under the backward looking effect context only when the backward weight ratio belongs to an appropriate range then the traffic flow stability can be enhanced. Furthermore, accounting for both the rear vehicle and the velocity difference of multiple preceding vehicles can also reduce the instability of traffic flow caused by time delay. The acceleration of the vehicle under the new model is gentler and more conducive to improve the stability and safety of traffic flow.

Key words: traffic engineering, car-following model, connected autonomous vehicle, traffic flow stability, safety evaluation

CLC Number: 

  • U491.1

Fig.1

Critical stability curves for different values of parameter P"

Table 1

Parameter values of model"

参数取值参数取值
a/(m·s-21l/m6
b/(m·s-2-2T/s1.1
vf /(m·s-130s0 /s2

Fig.2

Acceleration change and velocity change of CAV acceleration scenario simulation"

Table 2

Impacts of CAV with different penetration rates on TET"

CAV渗透率不同dos)取值的TET值降低百分比均值/%
2.02.53.03.5
00.000.000.000.00
10-19.18-14.45-9.42-4.77
20-57.84-37.13-35.16-24.62
30-67.36-63.30-52.29-50.99
40-78.48-72.31-69.29-60.43
50-78.93-75.52-71.61-63.60
60-83.85-77.50-75.38-71.67
70-86.28-81.32-76.40-74.08
80-89.81-84.32-81.46-78.70
90-90.07-86.41-84.03-80.39
100-91.11-87.51-84.34-81.07

Table 3

Impacts of CAV with different penetration rates on TIT"

CAV渗透率不同dos)取值的TIT值降低百分比均值/%
2.02.53.03.5
00.000.000.000.00
10-21.78-16.25-13.88-6.55
20-60.67-40.97-39.95-31.05
30-69.56-67.57-58.23-58.20
40-80.41-76.65-76.18-68.27
50-80.70-79.32-76.38-71.52
60-85.65-81.12-79.70-77.89
70-88.42-84.48-80.57-79.71
80-91.55-86.71-85.22-84.10
90-91.76-88.97-87.53-85.47
100-92.13-89.93-87.91-85.94
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