Please wait a minute...
Journal of ZheJiang University (Engineering Science)  2026, Vol. 60 Issue (7): 1482-1493    DOI: 10.3785/j.issn.1008-973X.2026.07.011
    
Orderly charging strategy for electric vehicles considering charging pile allocation and multi-stakeholder interests
Wenbin QUAN(),Haijun XING*(),Shijie ZHUANG,Jiahao SUN,Qiwei WANG,Huaxin WANG
College of Electrical Engineering, Shanghai University of Electric Power, Shanghai 200090, China
Download: HTML     PDF(1091KB) HTML
Export: BibTeX | EndNote (RIS)      

Abstract  

An optimized scheduling strategy for orderly charging of electric vehicles (EVs) considering charging pile allocation and the interests of multiple stakeholders was proposed, to address the issues of high charging costs, long waiting times, and adverse impacts on the power grid caused by the limited EV charging infrastructure. By rationally allocating the limited charging pile resources, the interests of users, the power grid, and the charging service providers were reconciled. A probability model and an uncertainty set incorporating user behavior characteristics were constructed, and a vehicle-pile matching and allocation model was established. The charging time constraints were converted into the electricity quantity constraints via a decision-variable transformation to simplify the optimization problem. On this basis, stakeholder-specific indicators evaluation indices were developed, and simulation analysis was conducted on the IEEE 33-bus system under the time-of-use tariff. The results demonstrated that the strategy effectively mitigated the problems arising from the insufficient charging infrastructure, delivering a win-win outcome for users, the grid and operators. The proposed strategy remained robust when the number of charging piles was limited, the user preferences were heterogeneous, or the user exit rate was high (30%), confirming its strong practicality and extensibility.



Key wordselectric vehicle      orderly charging      vehicle-pile allocation      user satisfaction      charging service provider     
Received: 16 May 2025      Published: 23 May 2026
CLC:  TM 734  
Fund:  国家自然科学基金资助项目(52477106).
Corresponding Authors: Haijun XING     E-mail: 2576977192@qq.com;xinghj@shiep.edu.cn
Cite this article:

Wenbin QUAN,Haijun XING,Shijie ZHUANG,Jiahao SUN,Qiwei WANG,Huaxin WANG. Orderly charging strategy for electric vehicles considering charging pile allocation and multi-stakeholder interests. Journal of ZheJiang University (Engineering Science), 2026, 60(7): 1482-1493.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2026.07.011     OR     https://www.zjujournals.com/eng/Y2026/V60/I7/1482


考虑充电桩分配和多方利益的电动汽车有序充电策略

针对电动汽车充电基础设施不足引发的用户充电成本高、等待时间长以及对电网负荷造成冲击的问题,提出考虑充电桩分配和多方利益的电动汽车有序充电优化调度策略,通过合理分配有限的充电桩资源,协调用户、电网和运营商的利益. 构建包含用户行为特征的概率模型与不确定集,建立车-桩配对分配模型;通过决策变量转换将充电时间约束转化为电量约束,以简化优化问题. 在此基础上,构建各主体利益评价指标,基于分时电价机制,在IEEE 33节点系统上进行仿真分析. 结果表明,该策略能够有效缓解充电基础设施不足引发的问题,达成用户、电网和运营商三方共赢局面,并在充电桩数量受限、用户偏好存在差异或高用户退出率(30%)的场景下仍然具有鲁棒性,说明其具有较强的实用性和扩展性.


关键词: 电动汽车,  有序充电,  车桩分配,  用户满意度,  充电运营商 
Fig.1 Orderly charging scheduling system for electric vehicles
Fig.2 Charging process in overlapping time intervals
Fig.3 Impact of EV participation in demand response on daily load curve
Fig.4 Flowchart of improved MOPSO
Fig.5 Topology of IEEE 33-bus distribution network
调度策略G/%Y/(kW·h)F/元
方案180.042 782.32 934.8
方案282.112 841.42 796.4
方案377.082 717.82 847.1
方案471.122 815.43 052.2
方案576.142 945.11 724.9
Tab.1 Optimized scheduling results under different scheduling schemes
Fig.6 Charging power of charging piles under different scheduling schemes
M调度策略G/%Y/(kW·h)F/元
90方案182.242 757.73 013.4
方案283.542 910.42 734.4
方案468.382 774.33 104.2
70方案180.972 766.12 964.3
方案283.062 899.82 726.7
方案469.052 781.63 095.1
60方案180.042 782.32 934.8
方案282.112 891.42 796.4
方案471.122 815.43 052.2
50方案178.682 801.52 874.8
方案280.152 882.82 675.4
方案472.232 834.72 929.9
40方案177.842 844.12 851.5
方案278.642 871.42 704.9
方案473.052 847.22 875.2
36
Tab.2 Optimized scheduling results under different numbers of charging piles
MML/%FDR/元Fc/元
9024.4552.82 460.6
7020.1495.32 469.0
6018.9479.72 455.1
5018.4440.52 434.3
4018.0425.52 425.5
Tab.3 Operator evaluation metrics under different numbers of charging piles
权重系数G/%Y/(kW·h)F/元
ω1=0.9, ω2=0.184.282 741.03 045.4
ω1=0.7, ω2=0.381.952 738.92 989.8
ω1=0.5, ω2=0.580.042 782.32 934.8
ω1=0.3, ω2=0.780.612 819.72 791.9
ω1=0.1, ω2=0.979.952 885.12 671.4
Tab.4 Optimized scheduling results under unified user preference
Fig.7 Satisfaction of EV users under different weight coefficients
MG/%Y/(kW·h)F/元
9081.442 772.32 896.4
6079.382 805.62 816.6
4078.072 821.12 731.4
Tab.5 Optimized scheduling results under diversified preference scenario
$\gamma $G/%Y/(kW·h)F/元
0.180.042782.32934.4
0.278.962751.52889.2
0.376.392725.82818.3
Tab.6 Optimized scheduling results under different exit proportions
日期场景G/%Y/(kW·h)F/元
1工作日80.742 782.12 934.6
2工作日79.872 779.32 929.1
3工作日80.532 752.82 951.2
4工作日79.922 785.42 930.7
5工作日81.022 776.72 942.4
6休息日77.312 809.43 051.6
7休息日77.172 836.23 033.7
均值79.512 788.82 967.6
Tab.7 Optimized scheduling results under multi-day load scenario
[1]   中华人民共和国国家能源局. 全国充电基础设施超1 300万台[EB/OL]. (2025-02-21) [2025-05-16]. http://www.nea.gov.cn/20250221/19cdad38412c48fc86ba4a44deff1847/c.html.
[2]   中华人民共和国公安部. 全国机动车保有量达4.53亿辆 驾驶人达5.42亿人[EB/OL]. (2025-01-18) [2025-05-16]. https://www.mps.gov.cn/n2254314/n6409334/c9939035/content.html.
[3]   ZHANG H, HU Z, XU Z, et al An integrated planning framework for different types of PEV charging facilities in urban area[J]. IEEE Transactions on Smart Grid, 2016, 7 (5): 2273- 2284
doi: 10.1109/TSG.2015.2436069
[4]   中华人民共和国国家发展和改革委员会. 关于加强新能源汽车与电网融合互动的实施意见[EB/OL]. (2024-01-04) [2025-05-16]. https://www.ndrc.gov.cn/xxgk/zcfb/tz/202401/t20240104_1363096.html.
[5]   侯慧, 唐俊一, 王逸凡, 等 价格与激励联合需求响应下电动汽车长时间尺度充放电调度[J]. 电力系统自动化, 2022, 46 (15): 46- 55
HOU Hui, TANG Junyi, WANG Yifan, et al Long-time-scale charging and discharging scheduling of electric vehicles under joint price and incentive demand response[J]. Automation of Electric Power Systems, 2022, 46 (15): 46- 55
[6]   沈国辉, 陈光, 赵宇, 等 基于双目标分层优化和TOPSIS排序的电动汽车有序充电策略[J]. 电力系统保护与控制, 2021, 49 (11): 115- 123
SHEN Guohui, CHEN Guang, ZHAO Yu, et al Orderly charging optimization strategy of an electric vehicle based on double objective hierarchical optimization and TOPSIS ranking[J]. Power System Protection and Control, 2021, 49 (11): 115- 123
doi: 10.19783/j.cnki.pspc.200955
[7]   詹华, 江昌旭, 苏庆列 基于分层强化学习的电动汽车充电引导方法[J]. 电力自动化设备, 2022, 42 (10): 264- 272
ZHAN Hua, JIANG Changxu, SU Qinglie Electric vehicle charging navigation method based on hierarchical reinforcement learning[J]. Electric Power Automation Equipment, 2022, 42 (10): 264- 272
doi: 10.16081/j.epae.202208022
[8]   康童, 朱吉然, 冯楚瑞, 等 面向光储充一体化社区的有序充电策略研究[J]. 电力系统保护与控制, 2024, 52 (9): 132- 142
KANG Tong, ZHU Jiran, FENG Churui, et al An orderly charging strategy for a photovoltaic-storage-charging integrated community[J]. Power System Protection and Control, 2024, 52 (9): 132- 142
doi: 10.19783/j.cnki.pspc.230998
[9]   马苗苗, 任智伟, 刘立成, 等 考虑新能源消纳的电动汽车有序充电控制策略[J]. 太阳能学报, 2024, 45 (8): 94- 103
MA Miaomiao, REN Zhiwei, LIU Licheng, et al Orderly charging control strategy for electric vehicles considering new energy accommodation[J]. Acta Energiae Solaris Sinica, 2024, 45 (8): 94- 103
doi: 10.19912/j.0254-0096.tynxb.2023-0526
[10]   邓衍辉, 李剑, 卢国强, 等 考虑分区域动态电价机制引导的电动汽车充电优化策略[J]. 电力系统保护与控制, 2024, 52 (7): 33- 44
DENG Yanhui, LI Jian, LU Guoqiang, et al Charging optimization strategy of electric vehicles guided by the dynamic tariff mechanism of a subregion[J]. Power System Protection and Control, 2024, 52 (7): 33- 44
doi: 10.19783/j.cnki.pspc.230931
[11]   WANG N, LI B, DUAN Y, et al A multi-energy scheduling strategy for orderly charging and discharging of electric vehicles based on multi-objective particle swarm optimization[J]. Sustainable Energy Technologies and Assessments, 2021, 44: 101037
doi: 10.1016/j.seta.2021.101037
[12]   YIN W, JI J Research on EV charging load forecasting and orderly charging scheduling based on model fusion[J]. Energy, 2024, 290: 130126
doi: 10.1016/j.energy.2023.130126
[13]   黄小庆, 段建焱, 李隆意, 等 基于负荷弹性的充电桩共享时间窗冲突控制策略[J]. 中国电机工程学报, 2025, 45 (8): 2981- 2991
HUANG Xiaoqing, DUAN Jianyan, LI Longyi, et al Conflict control strategy of charging pile sharing time window based on load elasticity[J]. Proceedings of the CSEE, 2025, 45 (8): 2981- 2991
doi: 10.13334/j.0258-8013.pcsee.231278
[14]   胡号, 胡志坚, 李天格, 等 基于“车-桩-站”交互的充换电站一体化实时调度策略[J]. 中国电机工程学报, 2025, 45 (11): 4175- 4187
HU Hao, HU Zhijian, LI Tiange, et al Integrated real-time dispatching strategy of charging and swapping stations based on “vehicle-pile-station” interaction[J]. Proceedings of the CSEE, 2025, 45 (11): 4175- 4187
doi: 10.13334/j.0258-8013.pcsee.240052
[15]   WU J, SU H, MENG J, et al Electric vehicle charging scheduling considering infrastructure constraints[J]. Energy, 2023, 278: 127806
doi: 10.1016/j.energy.2023.127806
[16]   潘振宁, 余涛, 王克英 考虑多方主体利益的大规模电动汽车分布式实时协同优化[J]. 中国电机工程学报, 2019, 39 (12): 3528- 3540
PAN Zhenning, YU Tao, WANG Keying Decentralized coordinated dispatch for real-time optimization of massive electric vehicles considering various interests[J]. Proceedings of the CSEE, 2019, 39 (12): 3528- 3540
doi: 10.13334/j.0258-8013.pcsee.172688
[17]   王精, 邢海军, 王华昕, 等 考虑电动汽车及负荷聚合商参与的综合能源系统优化调度[J]. 上海交通大学学报, 2023, 57 (7): 814- 823
WANG Jing, XING Haijun, WANG Huaxin, et al Optimal scheduling of integrated energy system considering integration of electric vehicles and load aggregators[J]. Journal of Shanghai Jiao Tong University, 2023, 57 (7): 814- 823
doi: 10.16183/j.cnki.jsjtu.2022.029
[18]   胡俊杰, 陆家悦, 马文帅, 等 面向电网调峰的电动汽车聚合商多层级实时控制策略[J]. 电力系统自动化, 2024, 48 (22): 84- 95
HU Junjie, LU Jiayue, MA Wenshuai, et al Multi-layer real-time control strategy of electric vehicle aggregators for peak regulation of power grid[J]. Automation of Electric Power Systems, 2024, 48 (22): 84- 95
doi: 10.7500/AEPS20231215003
[19]   ZHENG Y, WANG Y, YANG Q Two-phase operation for coordinated charging of electric vehicles in a market environment: from electric vehicle aggregators’ perspective[J]. Renewable and Sustainable Energy Reviews, 2023, 171: 113006
doi: 10.1016/j.rser.2022.113006
[20]   DE LA TORRE S, AGUADO J A, SAUMA E Optimal scheduling of ancillary services provided by an electric vehicle aggregator[J]. Energy, 2023, 265: 126147
doi: 10.1016/j.energy.2022.126147
[21]   李景丽, 时永凯, 张琳娟, 等 考虑电动汽车有序充电的光储充电站储能容量优化策略[J]. 电力系统保护与控制, 2021, 49 (7): 94- 102
LI Jingli, SHI Yongkai, ZHANG Linjuan, et al Optimization strategy for the energy storage capacity of a charging station with photovoltaic and energy storage considering orderly charging of electric vehicles[J]. Power System Protection and Control, 2021, 49 (7): 94- 102
doi: 10.19783/j.cnki.pspc.201296
[22]   REN H, ZHANG A, WANG F, et al Optimal scheduling of an EV aggregator for demand response considering triple level benefits of three-parties[J]. International Journal of Electrical Power & Energy Systems, 2021, 125: 106447
[23]   刘枬, 徐程程, 陈俞宏. 基于效用理论的数据定价方法研究[J]. 价格理论与实践, 2022(11): 164–167.
LIU Nan, XU Chengcheng, CHEN Yuhong. A study on data pricing model using utility method [J]. Price: Theory & Practice, 2022(11): 164–167.
[24]   程杉, 杨堃, 魏昭彬, 等 计及电价优化和放电节制的电动汽车充电站有序充放电调度[J]. 电力系统保护与控制, 2021, 49 (11): 1- 8
CHENG Shan, YANG Kun, WEI Zhaobin, et al Orderly charging and discharging scheduling of an electric vehicle charging station considering price optimization and discharge behavior control[J]. Power System Protection and Control, 2021, 49 (11): 1- 8
doi: 10.19783/j.cnki.pspc.201025
[25]   肖白, 杨士伟, 王宵雅, 等 基于博弈论组合赋权的GRA-TOPSIS-BS电能质量综合评估[J]. 电气应用, 2024, 43 (1): 77- 85
XIAO Bai, YANG Shiwei, WANG Xiaoya, et al GRA-TOPSIS-BS comprehensive evaluation of power quality based on game theory combined weighting[J]. Electrotechnical Application, 2024, 43 (1): 77- 85
[26]   占恺峤, 宋永华, 胡泽春, 等 以降损为目标的电动汽车有序充电优化[J]. 中国电机工程学报, 2012, 32 (31): 11- 18
ZHAN Kaiqiao, SONG Yonghua, HU Zechun, et al Coordination of electric vehicle charging to minimize active power losses[J]. Proceedings of the CSEE, 2012, 32 (31): 11- 18
doi: 10.13334/j.0258-8013.pcsee.2012.31.005
[1] Didi LIU,Songxiu ZHONG,Yituan LIU,Yanli ZOU,Chaochen TANG. Optimization strategy for smart home energy management through synergistic integration of photovoltaic systems and electric vehicles[J]. Journal of ZheJiang University (Engineering Science), 2025, 59(9): 1902-1910.
[2] Renwu YAN,Jianxiong LIN,Chenxin YE,Rong YE,Peiqiang LI,Yu KUANG. Optimization strategy for soft open point-containing active distribution networks considering carbon-guided electric vehicle clustering[J]. Journal of ZheJiang University (Engineering Science), 2025, 59(9): 1920-1930.
[3] Shu WANG,Haichuan ZHANG,Cangyan GUO,Xuan ZHAO,Huixin GUO. Vehicle’s four-wheel steering and direct yaw moment control considering driving styles[J]. Journal of ZheJiang University (Engineering Science), 2025, 59(9): 1942-1953.
[4] Xi-qun CHEN,Yi-wei QIAN,Dong MO. Collaborative optimization of charging pile quantity and price for electric vehicle charging platform[J]. Journal of ZheJiang University (Engineering Science), 2023, 57(9): 1785-1793.
[5] Kai DU,Guo-rong ZHU,Jiang-hua LU,Mu-ye PANG. Metal object detection method in wireless electric vehicle charging system[J]. Journal of ZheJiang University (Engineering Science), 2022, 56(1): 56-62.
[6] Fei JU,Wei-chao ZHUANG,Liang-mo WANG,Jing-xing LIU,Qun WANG. Velocity planning strategy for economic cruise of hybrid electric vehicles[J]. Journal of ZheJiang University (Engineering Science), 2021, 55(8): 1538-1547.
[7] Jia-jia WANG,Ying-feng CAI,Long CHEN,Shao-hua WANG,De-hua SHI. Coordinated control of hybrid electric vehicle based on extended state observer estimation[J]. Journal of ZheJiang University (Engineering Science), 2021, 55(7): 1225-1233.
[8] Xue XIA,Zhen ZHAO,Jin-jie ZHANG,Liang TANG. Mechanical integrity of cylindrical automotive lithium-ion batteries and modules[J]. Journal of ZheJiang University (Engineering Science), 2021, 55(11): 2134-2141.
[9] Dong-dong JIANG,Dao-fei LI,Xiao-li YU. Model predictive control energy management based ondriver demand torque prediction[J]. Journal of ZheJiang University (Engineering Science), 2020, 54(7): 1325-1334.
[10] Xia SHANG,Mei-jia WANG,Liu-xiao XU,Li-hui ZHANG. Configuration optimization of electric vehicle charging facilities in urban areas[J]. Journal of ZheJiang University (Engineering Science), 2020, 54(6): 1210-1217.
[11] CHU Liang, LI Tian-jiao, SUN Cheng-wei. Research on adaptive cruise control strategy for electric vehicle based on optimization of regenerative braking[J]. Journal of ZheJiang University (Engineering Science), 2017, 51(8): 1596-1602.
[12] SUN Yue, JIA Xin, TANG Chun-sen. Pick-up position detection for WPT-EV based on three-coil synthesis algorithm[J]. Journal of ZheJiang University (Engineering Science), 2017, 51(5): 984-991.
[13] PAN Ning, YU Liang yao, ZHANG Lei, SONG Jian, ZHANG Yong hui. Anti-lock braking control in coordinated braking system considering braking comfort[J]. Journal of ZheJiang University (Engineering Science), 2017, 51(1): 9-16.
[14] YE Li ya, WANG Zhen, WEN Fu shuan, YANG Jun, JIANG Dao zhuo. Economic benefit evaluation of V2G aggregator for frequency regulation[J]. Journal of ZheJiang University (Engineering Science), 2016, 50(9): 1831-1840.
[15] MA Hao jun, ZHU Shao peng, YU Xiao li, XU Yin chuan, LIN Ding. Electronic differential control considering rolling movement for electric vehicles[J]. Journal of ZheJiang University (Engineering Science), 2016, 50(3): 566-573.