在智能网联车中考虑电子节气门开度的多前车速度差的跟驰模型  

Multi-Front Vehicle Velocity Difference Car Following Model by Considering the Electronic Throttle Opening in Intelligent-Network Connected Cars

作　　者：周琳 李良鹏 化存才[1] 

机构地区：[1]云南师范大学数学学院,云南 昆明

出　　处：《应用数学进展》2021年第9期2996-3009,共14页Advances in Applied Mathematics

摘　　要：在智能网联车辆(Connected and autonomous vehicles, CAVs)的环境下,多前车信息基于车车互联(vehicle-to-vehicle, V2V)技术相通。为此,本文在多前车速度差模型中,考虑电子节气门开度的影响,提出了一个新的改进模型(T-MVD)。首先,导出了模型的线性稳定性条件,并计算了在不同的多前车数量m和电子节气门角度差的权重系数ω下的稳定性区域面积占比,发现随着m和ω的增大,稳定性区域面积的占比率也在增大;其次,利用约化摄动法导出了T-MVD模型在不同区域下的密度波方程——Burgers方程、mKdV方程、KdV方程;最后,在不同的m和ω值下对T-MVD模型进行了数值模拟,结果表明该模型能有效地抑制交通阻塞,以及高速状态下的致稳作用。In the environment of connected and autonomous vehicles (CAVs), the information multi-front vehicle is connected with each other on the basis of vehicle to vehicle technology (V2V). For this, a new improved model (T-MVD) is proposed by considering the influence of electronic throttle opening in the multi-front vehicle velocity difference model. Firstly, the linear stability condition of the model is derived, and the proportion of the area of the stability region is calculated with the weighted coefficients of the number of vehicles m and the angle difference of the electronic throttle ω. It is found that the area of stability region increases with m and ω. Secondly, the Burgers equation, mKdV equation and KdV equation of T-MVD model are derived respectively in different regions by using the reduced perturbation method. Finally, the T-MVD model is numerically simulated in different m and ω under the condition of high velocity. The results show that the T-MVD can effectively restrain the traffic jam and stabilize the vehicle at high velocity.

关 键 词：交通流 智能网联车 稳定性分析 数值模拟 

分 类 号：O17[理学—数学]