基于Lennard-Jones势的车辆跟驰动力学特性及模型

doi:10.13229/j.cnki.jdxbgxb20210395

Abstract

Abstract:

In order to more accurately describe the car-following interaction behavior of adjacent vehicles on the road， a car-following model is constructed by using its similarity with the thermodynamic performance of some microscopic particles. Through the system similarity analysis, the vehicle is likened to a microscopic particle in a long and narrow pipeline, and the complex vehicle following interaction is simplified into a dynamic process in which the following vehicle constantly seeks to keep a safe distance from the preceding vehicle. The expressions of the safe distance under different conditions are established. Through the mathematical derivation of Lennard-Jones potential function which is suitable for the thermodynamic analysis of inert gas system, the influence of its variables on the potential energy is clarified, and the problems existing in the existing molecular following model are analyzed. The vehicle interaction potential function was constructed by referring to the Lennard-Jones potential function, and the influence of the road wall potential generated by the lane boundary was considered. The vehicle following model based on the Lennard-Jones potential was proposed. The simulation test results show that： Compared with the existing molecular car-following model and IDM model, the mean absolute error and root mean square error of the vehicle acceleration results obtained by this model are lower than the actual data, which proves that the car-following model based on Lennard-Jones potential has a better fitting effect on the real vehicle's car-following behavior

Key words: traffic engineering, car-following model, molecular thermodynamics, Lennard-Jones potential, demand safety distance, wall potential

CLC Number:

U491

Da-yi QU,Zi-xu ZHAO,Yan-feng JIA,Tao WANG,Qiong-hui LIU. Car⁃following dynamics characteristics and model based on Lennard⁃Jones potential[J].Journal of Jilin University(Engineering and Technology Edition), 2022, 52(11): 2549-2557.

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参数	标定值
m	0.7103
n	1.6754
λ₁	29.2322
λ₂	44.4901

运动状态	λ₁	λ₂
常规行驶	1.3401	9.4095
起动加速	0.9548	17.3827
减速停车	66.5029	0.0141

参数	标定值
a/（m·s^-2）	1
b/（m·s^-2）	2
v₀/（m·s^-1）	33.3
s₀/m	10
T/s	1.5

模型	MAE	RMSE
M-MD	1.4867	0.7473
IDM	0.8004	0.5982
GLM	0.3772	0.5240

Car⁃following dynamics characteristics and model based on Lennard⁃Jones potential

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