Journal of Jilin University(Engineering and Technology Edition) ›› 2026, Vol. 56 ›› Issue (8): 2137-2149.doi: 10.13229/j.cnki.jdxbgxb.20250034

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

Xing-hui CHEN1(),Hao-bing LIU1,2(),Xing-hua HU3   

  1. 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

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

CLC Number: 

  • U491

Fig.1

Impact of intersection signal control on vehicle emissions and traffic efficiency"

Table 1

Symbolic description of main variables and parameters in model"

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-
Dˉ车辆通过交叉口的车均延误s/pcu
Dij相位i进口道j的车均延误s/pcu
Eˉ车辆通过交叉口的车均NO x 排放g/pcu

Table 2

NO x emission factors corresponding to VSP intervals of different types of fuel vehicles"

序号VSP区间/(kW·t-1NO x 排放因子/(g·s-1
LDGVHDDT
1<-20.000 139 5010.056 210 565
2[-2, 0)0.000 459 8700.072 015 277
3[0, 1)0.001 056 4530.065 285 324
4[1, 4)0.001 182 0000.120 159 943
5[4, 7)0.001 344 6930.155 863 268
6[7, 10)0.001 557 1080.200 919 449
7[10, 13)0.001 957 6620.222 890 678
8[13, 16)0.002 641 8830.256 653 830
9[16, 19)0.003 205 1420.247 436 625
10[19, 23)0.002 766 1940.228 227 500
11[23, 28)0.002 080 366-
12[28, 33)0.001 501 203-
13[33, 39)0.000 487 878-
14≥ 390.000 725 076-

Fig.2

PEMS vehicle test equipment"

Fig.3

Third-degree polynomial fitting curves of NO x emission factors to VSP in CD and CS modes"

Fig.4

Vehicle arrival and departure conditions at a signal intersection"

Fig.5

Genetic algorithm solution flow for intersection signal timing optimization problem"

Fig.6

Signal intersection traffic distribution and signal phase timing"

Table 3

Actual traffic volume and saturation flow of different vehicle and energy types in entrance directions"

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

小型

燃油车

大型

燃油车

小型

混动车

南进口直行308921163 265
左转266101 555
北进口直行297491123 350
左转4436171 430
东进口直行334123 015
左转13551 405
西进口直行357133 020
左转10112383 170

Fig.7

Impact of signal cycle length on objective function"

Fig.8

Optimal signal timing scheme after optimization"

Table 4

Results before and after intersection signal timing optimization"

配时方案

信号

周期/s

车均NO x 排放/(g·pcu-1车均NO x 排放减少率/%
现状控制方案1600.703 2
Webster模型1400.518 826.22
信号交叉口配时优化模型1400.483 131.29

Fig.9

Effect of signal cycle length on average vehicle delay and average number of stops"

Fig.10

NO x emission of different types of vehicles at intersection"

Fig.11

Effect of different traffic levels on average vehicle NO x emissions, average vehicle delay and average number of stops"

Fig.12

Effect of different percentages of left-turning vehicles on vehicle-averaged NO x emissions, vehicle-averaged delay, and average number of stops"

Fig.13

Effect of different penetration rates of hybrid vehicles on vehicle average NO x emissions"

[1] Hu X, Chen X, Guo J, et al. Optimization model for bus priority control considering carbon emissions under non-bus lane conditions[J]. Journal of Cleaner Production, 2023, 402: No.136747.
[2] Akcelik R. Traffic Signals: Capacity and Timing Analysis[M]. Melbourne: Australian Road Research Board, 1981.
[3] Liu H, Gayah V V, Levin M W. A max pressure algorithm for traffic signals considering pedestrian queues[J]. Transportation Research Part C: Emerging Technologies, 2024, 169: No.104865.
[4] Fan J, Baumann M, Jokhio S, et al. Evaluating the impact of signal control on emissions at intersections[C]∥Proceedings of KES-STS International Symposium,Singapore,2022: 104-111.
[5] Harrington W. A Behavioral Analysis of EPA's Mobile Emission Factor Model[M]. Washington DC: Federal Highway Administration, 1998.
[6] Barth M, Malcolm C, Younglove T, et al. Recent validation efforts for a comprehensive modal emissions model[J]. Transportation Research Record, 2001, 1750(1): 13-23.
[7] U.S. EPA. Draft motor vehicle emission simulator (MOVES) 2009: software design reference manual[R]. Washington DC: Environmental Protection Agency, 2009.
[8] 姜壁刚, 何超, 王艳艳,等. 道路坡度对轻型柴油车二氧化碳排放的影响[J]. 公路交通科技, 2025, 42(2): 207-214.
Jiang Bi-gang, He Chao, Wang Yan-yan, et al. Influence of road gradient on CO₂ emission from light-duty diesel vehicles[J]. Journal of Highway and Transportation Research and Development, 2025, 42(2): 207-214.
[9] 吉喆, 王鑫, 尹航,等. 考虑实际路况下排气温度的重型柴油车NO x 排放模型[J]. 华南理工大学学报:自然科学版, 2024, 52(2): 136-144.
Ji Zhe, Wang Xin, Yin Hang, et al. NO x emission model of heavy-duty diesel vehicles considering exhaust temperature under real-world driving conditions[J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(2): 136-144.
[10] Xu J, Tu R, Ahmed U, et al. An eco-score system incorporating driving behavior, vehicle characteristics, and traffic conditions[J]. Transportation Research Part D: Transport and Environment, 2021, 95: No.102866.
[11] 杨楠, 肖军. 序列二次规划算法下城市智能交通运行节能优化控制[J]. 吉林大学学报:工学版, 2024, 54(8): 2223-2228.
Yang Nan, Xiao Jun. Energy saving optimization control of urban intelligent transportation under sequential quadratic programming algorithm[J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(8): 2223-2228.
[12] Chen J, Wang K, Yu H, et al. A novel VSP-based CO2 emission model for ICEs and HEVs based on internally observable variables: engine operating speeds[J]. Energy, 2024, 313: No.133892.
[13] 彭飞, 宋国华, 尹航,等. 面向实际交通状态的混合动力汽车能耗和CO2排放模型[J]. 交通运输系统工程与信息, 2022, 22(6): 316-326.
Peng Fei, Song Guo-hua, Yin Hang, et al. Energy consumption and CO2 emission model for hybrid vehicles in real traffic conditions[J]. Journal of Transportation Systems Engineering and Information Technology, 2022, 22(6): 316-326.
[14] Frey H, Unal A, Chen J. Methodology for developing modal emission rates for EPA's multi-scale motor vehicle & equipment emission system[R]. Washington DC: Environmental Protection Agency, 2022.
[15] 张硕, 曹自强, 张春梅,等. 插电式混合动力汽车全生命周期评价及情景模拟[J]. 环境科学, 2025,46(6): No. 202405052.
Zhang Shuo, Cao Zi-qiang, Zhang Chun-mei, et al. Life cycle assessment and scenario simulation of plug-in hybrid electric vehicles[J]. Environmental Science, 2025, 46(6): No. 202405052.
[16] 曾小华, 王星琦, 宋大凤,等. 考虑电池寿命的插电式混合动力汽车能量管理优化[J]. 浙江大学学报:工学版, 2019, 53(11): 2206-2214.
Zeng Xiao-hua, Wang Xing-qi, Song Da-feng, et al. Battery-health conscious energy management optimization in plug-in hybrid electric vehicles[J]. Journal of Zhejiang University(Engineering Science), 2019, 53(11): 2206-2214.
[17] Hu J, Frey H C, Sandhu G S, et al. Method for modeling driving cycles, fuel use, and emissions for over snow vehicles[J]. Environmental Science & Technology, 2014, 48(14): 8258-8265.
[18] Fernandes P, Ferreira E, Macedo E, et al. Unraveling roundabout dynamics: Analysis of driving behavior, vehicle performance, and exhaust emissions[J]. Transportation Research Part D: Transport and Environment, 2024, 133: No.104308.
[19] 赵慧雄, 陈艳艳, 张斌,等. 考虑交通和环境效益的公交优先信号配时研究[J]. 公路交通科技, 2024, 41(2): 212-222.
Zhao Hui-xiong, Chen Yan-yan, Zhang Bin, et al. Study on transit signal priority timing considering traffic and environmental benefit[J]. Journal of Highway and Transportation Research and Development, 2024, 41(2): 212-222.
[20] Niroumand R, Tajalli M, Hajibabai L, et al. Joint optimization of vehicle-group trajectory and signal timing: Introducing the white phase for mixed-autonomy traffic stream[J]. Transportation Research Part C: Emerging Technologies, 2020, 116:No.102659.
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