Traffic Boundary Control Strategy Based on Macroscopic Fundamental Diagram Under Different Rainfall

doi:10.12141/j.issn.1000-565X.220721

Abstract

Abstract:

Adverse weather such as rain and snow often aggravates urban traffic congestion, and large cities such as Beijing and Tianjin often experience multi section regional traffic congestion under rainfall conditions. Therefore, based on the real traffic data of the road network in the central and suburban area of Tianjin, with the macroscopic fundamental diagram model as the research foundation, the paper compared the time series and the macroscopic fundamental diagram changes of road network traffic flow for different rainfall and road networks. It analyzed the impact of different rainfall on the traffic status of the road network in the central and suburban area of Tianjin. The dynamic evolution models of the road network were constructed based on the change law in macroscopic traffic flow of the road network in the central and suburban area under different rainfall, and their parameters were also calibrated and validated. Aiming at solving the regional congestion problem of the road network, the control strategies of the road network in the central area and the suburban area under different rainfall conditions were designed based on the perimeter control of macroscopic fundamental diagram. The effectiveness of different control strategies was verified through simulation experiments, and feasible strategies were proposed to alleviate road network congestion in central and suburban areas. The simulation results show that: under light rain conditions, the traffic status between the central area and the suburban area is more balanced and the road network regulation effect is better when the transfer proportion of traffic flow from the suburban area to the central area is reduced within the range of 9% to 50%; under the condition of heavy rain, the traffic status of the central area and the suburban area is more balanced and the road network regulation effect is better when the reduction is controlled within the range of 23% to 50%. This shows that the control strategy can alleviate the traffic congestion of the road network and ensure the stable operation of the road network traffic system.

Key words: urban traffic, perimeter control, macroscopic fundamental diagram, traffic state, rainfall weather

CLC Number:

U491.4

ZHAO Xiaomei, HAO Guoyu, NIU Xiaojing, et al.. Traffic Boundary Control Strategy Based on Macroscopic Fundamental Diagram Under Different Rainfall[J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(1): 72-82.

Figures/Tables 14

Table 1

Fig.1

Table 2

Table 3

Fig.2

Fig.3

Fig.4

Table 4

Calibration results of MFD functions with different rainfall levels and different road network types"

降雨等级	路网类型	$R 2$
小雨	中心城区	0.993 4
小雨	市郊区域	0.980 1
中雨	中心城区	0.989 2
中雨	市郊区域	0.971 1
大雨	中心城区	0.982 2
大雨	市郊区域	0.981 0

Table 4

Table 5

Statistical comparison of traffic transfer ratio of road network between urban areas and suburban areas with different rainfall"

参数	小雨时		中雨时		大雨时
参数	小雨	无雨	中雨	无雨	大雨	无雨
$P F 12$	0.146	0.236	0.157	0.158	0.237	0.239
$P F 21$	0.331	0.380	0.384	0.325	0.485	0.635

Table 5

Table 6

Statistical comparison of road network output proportion in suburban areas with different rainfall"

参数	小雨时		中雨时		大雨时
参数	小雨	无雨	中雨	无雨	大雨	无雨
$P E 2$	0.125	0.135	0.102	0.127	0.109	0.071

Table 6

Fig.5

Table 7

Validation of dynamic evolution models with different rainfall levels"

降雨等级	日期	$R 2$
小雨	2017-03-23	0.959 7
	2017-03-24	0.961 8
	2017-06-06	0.986 2
	2017-06-23	0.964 4
中雨	2017-05-22	0.951 6
	2017-06-22	0.931 5
	2017-07-26	0.936 4
	2017-08-16	0.935 8
大雨	2017-07-06	0.973 4
	2017-07-21	0.954 1
	2017-08-09	0.949 3

Table 7

Table8

Critical value solution of boundary control parameters （Single variable）"

参数天气	$P T 12$ /%	$P T 21$ /%	$A 2$ /%	$P E 2$ /%
小雨	21.00	-9.00	-33	44
中雨			-55
大雨	38.30	-22.68	-45

Table8

Fig.6

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降雨等级	1 h	12 h	24 h
小雨	≤2.5	<5	<10
中雨	2.6~8.0	5.0~14.9	10.0~24.9
大雨	8.1~16.0	15.0~29.9	25.0~49.9
暴雨	≥16.1	≥30	≥50

降雨等级	路网类型	平均流量	平均速度	平均密度
小雨	中心	2.84~15.97	-5.40~4.77	9.12~12.95
小雨	市郊	0.26~21.79	-19.51~-5.96	17.17~32.84
中雨	中心	1.57~10.34	-7.55~1.72	3.02~20.65
中雨	市郊	1.20~11.90	-13.75~-3.48	3.92~27.44
大雨	中心	-7.36~1.90	-3.00~4.90	-6.87~4.90
大雨	市郊	-2.66~3.50	0.40~4.50	4.47~2.61

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