吉林大学学报(工学版) ›› 2022, Vol. 52 ›› Issue (1): 136-143.doi: 10.13229/j.cnki.jdxbgxb20200785

• 交通运输工程·土木工程 • 上一篇    

具有随机充电需求的混合动态网络平衡模型

闫云娟1(),查伟雄2(),石俊刚2,李剑2   

  1. 1.华东交通大学 机电与车辆工程学院，南昌 330013
    2.华东交通大学 交通运输与物流学院，南昌 330013
  • 收稿日期:2020-10-06 出版日期:2022-01-01 发布日期:2022-01-14
  • 通讯作者: 查伟雄 E-mail:xiaoyan921@sohu.com;jxzhawx@sina.com
  • 作者简介:闫云娟（1977-），女，讲师，博士研究生. 研究方向：交通系统规划 .E-mail：xiaoyan921@sohu.com
  • 基金资助:
    国家自然科学基金项目(52065021);国家自然科学青年科学基金项目(71801093);江西省教育厅科学技术项目(190306)

Mixed network equilibrium model with stochastic charging demand

Yun-juan YAN1(),Wei-xiong ZHA2(),Jun-gang SHI2,Jian LI2   

  1. 1.College of Mechatronics & Vehicle Engineering，East China Jiaotong University，Nanchang 330013，China
    2.Institute of Transportation and Economics，East China Jiaotong University，Nanchang 330013，China
  • Received:2020-10-06 Online:2022-01-01 Published:2022-01-14
  • Contact: Wei-xiong ZHA E-mail:xiaoyan921@sohu.com;jxzhawx@sina.com

RICH HTML

 5   

PDF (PC)

201

摘要：

考虑电动汽车用户在途随机充电需求，基于随机充电行为及充电排队仿真构建了混合用户平衡模型。在电动汽车不同初始电量状态及市场占有率下，预测了网络平衡交通流和可能充电需求流的变化趋势。利用Frank-Wolfe算法和多标号算法，以Nguyen-Dupius网络为例，设计了电动汽车充电排队仿真的平衡交通流预测模型，本文研究结果可为交通管理者提供科学参考。

关键词: 交通运输规划与管理, 混合用户平衡模型, Frank?wolfe算法, 排队逗留时间, 随机充电概率

Abstract:

With the increase of electric vehicle mileage and the increase of public charging facilities， it is inevitable that electric vehicles choose to charge in their commute more and more widely. Considering the stochastic charging demand of electric vehicle users， a mixed user equilibrium model is constructed based on the stochastic charging behavior and charging queuing simulation. Under different initial state of charge and market share of electric vehicles， the trend of equilibrium traffic flow and potential charging demand flow is predicted. Based on stochastic charging behavior and charging queuing simulation， a mixed user equilibrium model is constructed. The model is based on Frank?Wolfe algorithm and multi-label algorithm. Taking Nguyen-Dupius network as an example， this paper designs an equilibrium traffic flow prediction model integrating electric vehicle charging queuing simulation， which provides a scientific management scheme for traffic managers.

Key words: transportation planning and management, mixed user equilibrium model, Frank-Wolfe algorithm, queuing dwell time, stochastic charging probability

中图分类号: 

  • U491

图1

模型网络Nguyen-Dupius"

表1

电动汽车路径枚举"

ODOD12OD13OD42OD43
11，5，6，7，8，21，5，6，7，11，34，5，6，7，8，24，5，6，7，11，3
21，5，6，7，11，21，5，6，10，11，34，5，6，7，11，24，5，6，10，11，3

3

4

1，5，6，10，11，2

1，5，9，10，11，2

1，12，6，7，11，3

1，5，9，10，11，3

4，5，6，10，11，2

4，9，10，11，2

4，5，9，10，11，3

4，9，10，11，3

51，12，6，7，8，21，12，610，1134，5，9，10，11，2
61，12，6，7，11，2
71，12，6，10，11，2

表2

充电概率（SOC=100%）"

OD12OD13OD42OD4
P6P11P6P11P6P11P6P11
10.01700.0170.0760.02600.0260.098
20.0170.0670.0170.0540.0260.0980.0260.071
30.0170.0540.0240.0810.0240.07100.098
400.03700.03700.02400.024
50.02400.0240.06700.024
60.0240.092
70.0240.067

表3

充电概率（SOC=80%）"

OD12OD13OD42OD43
P6P11P6P11P6P11P6P11
10.09500.0950.2810.13000.1300.331
20.0950.2570.0950.2230.1300.3310.1300.269
30.0950.2230.1210.2930.1210.26900.331
400.16800.16900.12100.121
50.12100.1210.25700.130
60.1210.318
70.1210.257

表4

充电概率（SOC=60%）"

OD12OD13OD42OD43
P6P11P6P11P6P11P6P11
10.19000.1900.4090.24200.2420.449
20.1900.3870.1900.3530.2420.4490.2420.398
30.1900.3530.2290.4190.2290.39800.341
400.29200.29200.22900.449
50.22900.2290.38700.412
60.2290.439
70.2290.387

图2充电初始 SOC 频率直方图及概率密度"

图3

不同初始SOC及市场占有率路段平衡流量对比图"

图4

不同初始SOC及市场占有率下可能充电流量对比图"

1 Windecker A, Ruder A. Fuel economy, cost, and greenhouse gas results for alternative fuel vehicles in 2011[J]. Transport Research Part D: Transport and Environment, 2013, 23: 34⁃40.
2 Beckmann M J, Mcguire C B, Winston C B. Studies in economics of transportation[J]. Operational Research Society, 1956, 7(4):146-147.
3 Wardrop J G. Some theoretical aspects of road traffic research[J]. OR, 1953, 4(4):72⁃73.
4 Jonathan D, Pitu A B, Mirchandani H. The electric vehicle shortest-walk Problem with battery exchanges[J]. Networks and Spatial Economics March, 2016, 16(1):155⁃173.
5 Schneider M, Stenger A, Goeke D. The electric vehicle-routing problem with time windows and recharging stations[J]. Transportation Science, 2014,48(4):500⁃520.
6 Jiang N, Xie C. Computing and analyzing mixed equilibrium network flows with gasoline and electric vehicles[J]. Computer-Aided Civil and Infrastructure Engineering, 2014, 29(8): 626-646.
7 Xie C, Jiang N. Relay requirement and traffic assignment of electric vehicles[J]. Computer-Aided Civil and Infrastructure Engineering, 2016, 31(8): 580-598.
8 He F, Wu D, Yin Y F, et al. Optimal deployment of public charging stations for plug-inhybrid electric vehicles[J]. Transportation Research Part B: Methodological, 2013, 47(C):87-101.
9 Cen X K, Hong K L, Li L, et al. Modeling electric vehicles adoption for urban commute trips[J]. Transportation Research Part B,2018,117(A): 431⁃454.
10 Mock P, Schmid S A, Friedruch H E. Chapter twenty one: market prospects of electric passenger vehicles[M]//Electric & Hybrid Vehicles, Berlin: Elsevier,2010:545-577.
11 Smart J, Stephen S. Battery electric vehicle driving and charging behavior observed early in the EV project [J]. SAE International Journal of Alternative Powertrains, 2012, 1(1): 27-33.
12 Nguyens Dupuis C. An efficient method for computing traffic equilibria in networks with asymmetric transportation costs[J]. Transportation Science, 1984, 18(2):185⁃202.
13 陶顺, 肖湘宁, 温剑锋.电动汽车分散充电设施配比度分析与计算方法[J]. 电工技术学报, 2014, 29(8):11-19.
Tao Shun, Xiao Xiang-ning, Wen Jian-feng. Analysis and calculation method of matching ratio of electric vehicle decentralized charging facilities [J]. Transactions of China Electrotechnical Society, 2014, 29(8): 11-19.
[1] 李浩,陈浩. 考虑充电排队时间的电动汽车混合交通路网均衡[J]. 吉林大学学报(工学版), 2021, 51(5): 1684-1691.
[2] 户佐安,夏一鸣,蔡佳,薛锋. 延误条件下综合多种策略的城轨列车运行调整优化[J]. 吉林大学学报(工学版), 2021, 51(5): 1664-1672.
[3] 朱才华,孙晓黎,李岩. 站点分类下的城市公共自行车交通需求预测[J]. 吉林大学学报(工学版), 2021, 51(2): 531-540.
[4] 罗清玉,田万利,贾洪飞. 考虑通勤需求的电动汽车充电站选址与定容模型[J]. 吉林大学学报(工学版), 2019, 49(5): 1471-1477.
[5] 曹骞, 李君, 刘宇, 曲大为. 基于马尔科夫链的长春市乘用车行驶工况构建[J]. 吉林大学学报(工学版), 2018, 48(5): 1366-1373.
[6] 孙宝凤, 高坤, 申琇秀, 梁婷. 基于能力平衡和变覆盖半径的加油站网络扩充选址模型[J]. 吉林大学学报(工学版), 2018, 48(3): 704-711.
[7] 徐亮,程国柱. 基于车速离散度和经济车速的高速公路最低车速限制[J]. 吉林大学学报(工学版), 2010, 40(03): 661-0665.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
版权所有 © 《吉林大学学报(工学版)》编辑部
地址：长春市人民大街5988号　电话：+86-431-85095297　传真：+86-431-85094074　E-mail: xbgxb@jlu.edu.cn
本系统由北京玛格泰克科技发展有限公司设计开发