考虑弯道条件的同质与异质交通流稳定性分析

doi:10.13229/j.cnki.jdxbgxb.20240754

吉林大学学报(工学版) ›› 2026, Vol. 56 ›› Issue (2): 393-406.doi: 10.13229/j.cnki.jdxbgxb.20240754

• 交通运输工程·土木工程 • 上一篇

考虑弯道条件的同质与异质交通流稳定性分析

赵红星¹(),刘书英¹,聂江龙²,梁瑞艳³,何瑞春¹()

^1.兰州交通大学交通运输学院，兰州 730070
^2.国网甘肃省电力公司建设事业部，兰州 730000
^3.国网甘肃省电力公司数字化事业部，兰州 730000

收稿日期:2024-07-08 出版日期:2026-02-01 发布日期:2026-03-17
通讯作者: 何瑞春 E-mail:zhaohx@mail.lzjtu.cn;tranman@163.com
作者简介:赵红星（1989-），男，副教授，博士.研究方向：智能交通.E-mail： zhaohx@mail.lzjtu.cn
基金资助:
国家自然科学基金项目(52162041);甘肃省科技计划项目(24JRRA255);兰州市青年科技人才创新项目(2023-QN-125)

Stability analysis of homogeneous and heterogeneous traffic flows considering curved conditions

Hong-xing ZHAO¹(),Shu-ying LIU¹,Jiang-long NIE²,Rui-yan LIANG³,Rui-chun HE¹()

^1.School of Traffic and Transportation，Lanzhou Jiaotong University，Lanzhou 730070，China
^2.Construction Business Department of State Grid Gansu Electric Power Company，Lanzhou 730000，China
^3.Digital Business Department of State Grid Gansu Electric Power Company，Lanzhou 730000，China

Received:2024-07-08 Online:2026-02-01 Published:2026-03-17
Contact: Rui-chun HE E-mail:zhaohx@mail.lzjtu.cn;tranman@163.com

摘要/Abstract

摘要：

为研究车辆在弯曲道路上的跟驰特性及稳定条件，在智能驾驶员模型（IDM）的基础上，综合考虑弯道半径及超高等因素的影响，结合道路力学特性建立了扩展模型。通过分析弯道对交通流稳定性的影响，推导出适用于人工驾驶车辆（HDVs）、智能车辆（AVs）和智能网联车辆（CAVs）的同质与异质交通流的稳定性条件，并进行参数灵敏度分析与数值验证。研究结果显示，工况2（ $R = 250$ m， $i e = 8 %$ ）的交通流稳定性最好。增加平衡态速度有助于提升交通流的稳定性，自由流速度的增加对稳定性不利。此外，随着CAVs渗透率的增加，混合交通流的稳定性逐步改善，而最大车队规模的增加会使交通流变得不稳定。在同质交通流中，低速行驶时速度越低越有利于稳定性；在高速行驶时，HDVs以29.9 m/s、AVs以26.8 m/s、CAVs以26.9 m/s的速度行驶稳定性最优。在混合交通流中，当CAVs渗透率超过0.72时，混合交通流能保持稳定。

关键词: 智能交通, 跟驰模型, 数值仿真, 同质与异质交通流, 弯曲道路

Abstract:

To study the following characteristics and stability conditions of vehicles on curved roads， this paper builds upon an intelligent driver model （IDM）， integrating considerations of factors such as curve radius and super-elevation， and incorporating road mechanics to establish an extended model. By analyzing the influence of curves on traffic flow stability， the study derives stability conditions applicable to both homogeneous and heterogeneous traffic flows comprising human driven vehicles （HDVs）， automated vehicles （AVs）， and connected automated vehicles （CAVs）. Parameter sensitivity analyses and numerical validations are conducted. The findings indicate that traffic flow stability is highest under Condition 2 （ $R = 250 ? m, i e = 8 %$ ）. Increasing equilibrium speeds enhances traffic flow stability， while increasing free-flow speeds is detrimental to stability. Moreover， as CAVs penetration rates increase， the stability of mixed traffic flows gradually improves， although increasing maximum platoon sizes may destabilize traffic flows. In homogeneous traffic flows， lower speeds are advantageous for stability at low speeds； for high-speed conditions， stability is optimized at speeds of 29.9 m/s for HDVs， 26.8 m/s for AVs， and 26.9 m/s for CAVs. In mixed traffic flows， stability can be maintained when the penetration rates of CAVs exceed 0.72.

Key words: intelligent transportation, car-following model, numerical simulation, homogeneous and heterogeneous traffic flows, curved roads

中图分类号:

U463.6

赵红星,刘书英,聂江龙,梁瑞艳,何瑞春. 考虑弯道条件的同质与异质交通流稳定性分析[J]. 吉林大学学报(工学版), 2026, 56(2): 393-406.

Hong-xing ZHAO,Shu-ying LIU,Jiang-long NIE,Rui-yan LIANG,Rui-chun HE. Stability analysis of homogeneous and heterogeneous traffic flows considering curved conditions[J]. Journal of Jilin University(Engineering and Technology Edition), 2026, 56(2): 393-406.

图/表 16

表1

参数取值"

参数	IDM	A-IDM	C-IDM
$l$ /m	5	5	5
$a$ /（m·s^-2）	1	3	3
$b$ /（m·s^-2）	2	2	2
$v f$ /（m·s^-1）	33.3	33.3	33.3
$s 0$ /m	2	2	2
$T$ /s	1.5	1.2	1.0

表1

图1

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图 15

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考虑弯道条件的同质与异质交通流稳定性分析

Stability analysis of homogeneous and heterogeneous traffic flows considering curved conditions

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