弯道交通流跟驰建模与稳定性分析
Curved road traffic flow car-following model and stability analysis
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摘要: 为发现弯道道路条件下交通流的演化特性及稳定条件,在全速度差最优模型的基础上,研究了弯道情况下的交通流跟驰模型表达式,并以状态空间法和控制系统的稳定性判据对其进行了稳定性分析,得到弯道情况下交通流的稳定条件,最后进行了数值模拟,验证了模型稳定条件的正确性.研究结果表明在相同的初始交通流密度情况下,弯道道路随着道路弧度的增大,交通流稳定性逐渐降低.Abstract: To find the characteristics of curved road traffic flow,we propose a new car-following model based on the typical full velocity difference model,and analyze the model stability condition with system state space method and control system stability criteria.With numerical simulation,the stability and feasibility of the model are proved.Under the condition of same initialization traffic flow density, with the increase of road curve,traffic flow stability decreases.Our study is greatly helpful for traffic control and management at road curve site.
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