Journal of Jilin University(Engineering and Technology Edition) ›› 2022, Vol. 52 ›› Issue (1): 136-143.doi: 10.13229/j.cnki.jdxbgxb20200785

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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

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

CLC Number: 

  • U491

Fig.1

Model network Nguyen-Dupiu"

Table 1

Electric vehicle path enumeration"

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

Table 2

Probability of charging(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

Table 3

Probability of charging(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

Table 4

Probability of charging(SOC=80%)"

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

Fig.2

Frequency chart and probability density ofinitial SOC"

Fig. 3

Comparison of link equilibrium flows with different initial SOC and market share in Nguyen?Dupius network"

Fig.4

Comparison of possible charging flows with different SOC and market share in Nguyen–Dupius network"

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