考虑混动车NO x 排放工况影响的交叉口信号配时优化模型

doi:10.13229/j.cnki.jdxbgxb.20250034

吉林大学学报(工学版) ›› 2026, Vol. 56 ›› Issue (8): 2137-2149.doi: 10.13229/j.cnki.jdxbgxb.20250034

• 交通运输工程·土木工程 • 上一篇

考虑混动车NO _x 排放工况影响的交叉口信号配时优化模型

陈兴辉¹(),刘皓冰^1,²(),胡兴华³

^1.同济大学道路与交通工程教育部重点实验室，上海 201804
^2.上海创智学院，上海 200231
^3.重庆交通大学交通运输学院，重庆 400074

收稿日期:2025-01-10 出版日期:2026-08-01 发布日期:2026-09-02
通讯作者: 刘皓冰 E-mail:chenxinghui@tongji.edu.cn;liuhaobing@tongji.edu.cn
作者简介:陈兴辉（1998-），男，博士研究生. 研究方向：机动车能耗与排放模型.E-mail： chenxinghui@tongji.edu.cn
基金资助:
国家重点研发计划项目(2023YFB3906900);国家自然科学基金青年基金项目(52202420)

Intersection signal timing optimization model considering influence of hybrid vehicles NO _x emission conditions

Xing-hui CHEN¹(),Hao-bing LIU^1,²(),Xing-hua HU³

^1.The Key Laboratory of Road and Traffic Engineering，Ministry of Education，Tongji University，Shanghai 201804，China
^2.Shanghai Innovation Institute，Shanghai 200231，China
^3.College of Traffic & Transportation，Chongqing Jiaotong University，Chongqing 400074，China

Received:2025-01-10 Online:2026-08-01 Published:2026-09-02
Contact: Hao-bing LIU E-mail:chenxinghui@tongji.edu.cn;liuhaobing@tongji.edu.cn

摘要/Abstract

摘要：

基于机动车比功率（VSP）模型，重点考虑了插电式混合动力车型特性，分别针对其电量消耗和电量维持两种模式提出NO _x 排放因子的计算方法。以交叉口范围内车均NO _x 排放最小为优化目标，以车均延误、平均停车次数等为约束条件，建立以燃油车与混动车构成的混合交通环境下交叉口信号配时优化模型。分析结果表明，本文模型优化后的车均NO _x 排放减少率达到31.29%，同时车均延误以及平均停车次数与车均NO _x 排放呈同向变化趋势，其减少率分别为43.99%和28.88%，优于仅考虑交通流量条件的Webster模型。最后，通过参数敏感性分析发现，不同交通量水平、左转车辆比例以及混动车渗透率对车均NO _x 排放的影响较为显著。本文提出的平衡环境效益和通行效率的交叉口信号配时优化方法为城市交通管理和政策制定提供了有效依据。

关键词: NO _x 排放, 交叉口信号配时优化, 燃油车与混动车VSP, 参数敏感性分析

Abstract:

Based on the vehicle specific power（VSP） model， with particular emphasis on the characteristics of plug-in hybrid electric vehicles（PHEVs）， this study proposes NO _x emission factor calculation methods for both charge-depleting and charge-sustaining modes. With the objective of minimizing average per-vehicle NO _x emissions within the intersection area， and subject to constraints including average per-vehicle delay and average number of stops， a signal timing optimization model is established for intersections under mixed traffic environments comprising conventional fuel vehicles and hybrid electric vehicles. Analysis results indicate that the proposed model achieves a 31.29% reduction in average per-vehicle NO _x emissions. Meanwhile， average per-vehicle delay and average number of stops exhibit consistent variation trends with average per-vehicle NO _x emissions， with reduction rates of 43.99% and 28.88%， respectively， outperforming the Webster model which considers only traffic flow conditions. Finally， parameter sensitivity analysis reveals that traffic volume levels， left-turn vehicle proportions， and hybrid vehicle penetration rates exert significant influences on average per-vehicle NO _x emissions. The intersection signal timing optimization method proposed in this study， which balances environmental benefits and traffic efficiency， provides an effective basis for urban traffic management and policy formulation.

Key words: NO _x emissions, intersection signal timing optimization, VSP for fuel and hybrid vehicles, parametric sensitivity analysis

中图分类号:

U491

陈兴辉,刘皓冰,胡兴华. 考虑混动车NO _x 排放工况影响的交叉口信号配时优化模型[J]. 吉林大学学报(工学版), 2026, 56(8): 2137-2149.

Xing-hui CHEN,Hao-bing LIU,Xing-hua HU. Intersection signal timing optimization model considering influence of hybrid vehicles NO _x emission conditions[J]. Journal of Jilin University(Engineering and Technology Edition), 2026, 56(8): 2137-2149.

图/表 17

图1

表1

主要变量及参数的符号说明"

符号	说明	单位
i	信号相位的索引	$-$
j	交叉口进口道方向的索引	$-$
$α$	车型的索引， $α = 1$ 时表示小型车， $α = 2$ 时表示大型车	$-$
β	车辆能源类型的索引， $β = 1$ 时表示燃油车， $β = 2$ 时表示混动车	$-$
$D ˉ$	车辆通过交叉口的车均延误	s/pcu
$D i j$	相位i进口道j的车均延误	s/pcu
$E ˉ$	车辆通过交叉口的车均NO _x 排放	g/pcu

表1

表2

不同类型燃油车VSP区间对应的NO x 排放因子"

序号	VSP区间/（kW·t^-1）	NO _x 排放因子/（g·s^-1）
序号	VSP区间/（kW·t^-1）	LDGV	HDDT
1	<-2	0.000 139 501	0.056 210 565
2	［-2， 0）	0.000 459 870	0.072 015 277
3	［0， 1）	0.001 056 453	0.065 285 324
4	［1， 4）	0.001 182 000	0.120 159 943
5	［4， 7）	0.001 344 693	0.155 863 268
6	［7， 10）	0.001 557 108	0.200 919 449
7	［10， 13）	0.001 957 662	0.222 890 678
8	［13， 16）	0.002 641 883	0.256 653 830
9	［16， 19）	0.003 205 142	0.247 436 625
10	［19， 23）	0.002 766 194	0.228 227 500
11	［23， 28）	0.002 080 366	$-$
12	［28， 33）	0.001 501 203	$-$
13	［33， 39）	0.000 487 878	$-$
14	≥ 39	0.000 725 076	$-$

表2

图2

图3

图4

图5

图6

表3

图7

图8

表4

图9

图10

图11

图12

图13

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进口道方向		不同车型与能源类型的实际交通量/（辆·h^-1）			饱和流量/（pcu·h^-1）
进口道方向		小型燃油车	大型燃油车	小型混动车	饱和流量/（pcu·h^-1）
南进口	直行	308	92	116	3 265
南进口	左转	26	6	10	1 555
北进口	直行	297	49	112	3 350
北进口	左转	44	36	17	1 430
东进口	直行	33	4	12	3 015
东进口	左转	13	5	5	1 405
西进口	直行	35	7	13	3 020
西进口	左转	101	12	38	3 170

考虑混动车NO _x 排放工况影响的交叉口信号配时优化模型

Intersection signal timing optimization model considering influence of hybrid vehicles NO _x emission conditions

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考虑混动车NO x 排放工况影响的交叉口信号配时优化模型

Intersection signal timing optimization model considering influence of hybrid vehicles NO x emission conditions

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考虑混动车NO _x 排放工况影响的交叉口信号配时优化模型

Intersection signal timing optimization model considering influence of hybrid vehicles NO _x emission conditions