Chaotic characteristics of mixed traffic flow integrated with intelligent connected vehicle
(1. Automotive Engineering Research Institute, Jiangsu University, Zhenjiang, Jiangsu 212013, China; 2. School of Computer Science and Technology, Shandong Technology and Business University, Yantai, Shandong 264005, China; 3. Taizhou Yihualu Data Lake Information Technology Co., Ltd., Taizhou, Jiangsu 225500, China)
Abstract:To investigate the chaotic characteristics of mixed traffic flow and discern the factors influencing the degree of chaos in mixed traffic platoons, the Cao method and the improved Cao method were employed based on the traditional traffic flow theory to determine the delay time and embedding dimension of the mixed traffic flow. The phase space of mixed traffic flow sequences was reconstructed to determine the chaotic characteristics by calculating the maximum Lyapunov exponent. The influential parameters of the proportion of intelligent connected vehicle (ICV) using cooperative adaptive cruise control (CACC) and the delay time in mixed traffic flow were analyzed. The results show that when the maximum Lyapunov exponent of the headway sequence during the car-following process is less than zero, chaos exists in the mixed traffic flow. Increasing the proportion of CACC vehicles can mitigate chaos in certain time intervals. The car-following system tends to be stable when the proportion of CACC vehicles reaches 0.6. The delay time of CACC vehicles significantly affects chaos, and maintaining low communication delays is essential for CACC vehicles to effectively suppress chaos.
QIN Y Y, WANG H, WANG W, et al. Stability analysis and fundamental diagram of heterogeneous traffic flow mixed with cooperative adaptive cruise control vehicles[J]. Acta Physica Sinica, 2017,66(9):252-261.(in Chinese)
[2]
ZHU W X, ZHANG H M. Analysis of mixed traffic flow with human-driving and autonomous cars based on car-following model[J]. Physica A: Statistical Mechanics and its Applications, 2018, 496: 274-285.
[3]
LIU H, KAN X G, SHLADOVER S E, et al. Impact of cooperative adaptive cruise control on multilane freeway merge capacity[J]. Journal of Intelligent Transportation Systems, 2018,22(3):263-275.
HU M W, ZHANG Z M, CHEN X S. Research on benefits of mixed traffic flow of intelligent connected vehicles[J]. Journal of System Simulation,2021,33(9):2270-2278.(in Chinese)
[5]
CONG S S, WANG W S, LIANG J, et al. An automatic vehicle avoidance control model for dangerous lane-changing behavior[J]. IEEE Transactions on Intelligent Transportation Systems, 2022,23(7):8477-8487.
[6]
LI Y, LI Z B, WANG H, et al. Evaluating the safety impact of adaptive cruise control in traffic oscillations on freeways[J]. Accident,Analysis and Prevention, 2017,104:137-145.
QIN Y Y, WANG H. Improving traffic safety via traffic flow optimization of connected and automated vehicles[J]. China Journal of Highway and Transport, 2018,31(4):202-210.(in Chinese)
[8]
ARVIN R, KHATTAK A J, KAMRANI M, et al. Safety evaluation of connected and automated vehicles in mixed traffic with conventional vehicles at intersections[J]. Journal of Intelligent Transportation Systems, 2021,25(2):170-187.
[9]
ZHENG F F, LIU C, LIU X B, et al. Analyzing the impact of automated vehicles on uncertainty and stability of the mixed traffic flow[J]. Transportation Research Part C: Emerging Technologies, 2020,112:203-219.
YAO Z H, JIN Y T, WANG S C, et al. Stability and safety analysis of traffic flow mixed with ICV[J]. China Safety Science Journal, 2021,31(10):136-143.(in Chinese)
[11]
VEGAMOOR V, RATHINAM S, DARBHA S. String stability of connected vehicle platoons under lossy V2V communication[J]. IEEE Transactions on Intelligent Transportation Systems, 2022,23(7):8834-8845.
[12]
MILANS V, SHLADOVER S E. Modeling cooperative and autonomous adaptive cruise control dynamic responses using experimental data[J]. Transportation Research Part C: Emerging Technologies, 2014,48:285-300.
[13]
XIAO L, WANG M, VAN AREM B. Realistic car-following models for microscopic simulation of adaptive and cooperative adaptive cruise control vehicles[J]. Transportation Research Record, 2017,2623:1-9.
[14]
SHLADOVER S E, SU D Y, LU X Y. Impacts of coo-perative adaptive cruise control on freeway traffic flow[J]. Transportation Research Record, 2012,2324:63-70.
[15]
XIAO L, WANG M, SCHAKEL W, et al. Unravelling effects of cooperative adaptive cruise control deactivation on traffic flow characteristics at merging bottlenecks[J]. Transportation Research Part C: Emerging Technologies, 2018,96:380-397.
[16]
TAKENS F. Detecting strange attractors in turbulence[J]. Lecture Notes in Mathematics, 1981,898:366-381.
[17]
KIM H S, EYKHOLT R, SALAS J D. Nonlinear dyna-mics, delay times, and embedding windows[J]. Physica D: Nonlinear Phenomena, 1999,127(1/2):48-60.
[18]
CAO L Y. Practical method for determining the minimum embedding dimension of a scalar time series[J]. Physica D: Nonlinear Phenomena, 1997,110(1/2):43-50.
[19]
ZHOU S, WANG X Y, WANG Z, et al. A novel me-thod based on the pseudo-orbits to calculate the largest Lyapunov exponent from chaotic equations[J].Chaos,DOI:10.1063/1.5087512.