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浙江大学学报(工学版)  2026, Vol. 60 Issue (7): 1482-1493    DOI: 10.3785/j.issn.1008-973X.2026.07.011
电气工程     
考虑充电桩分配和多方利益的电动汽车有序充电策略
全文斌(),邢海军*(),庄世杰,孙嘉昊,王麒玮,王华昕
上海电力大学 电气工程学院,上海 200090
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
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摘要:

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    
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 words: electric vehicle    orderly charging    vehicle-pile allocation    user satisfaction    charging service provider
收稿日期: 2025-05-16 出版日期: 2026-05-23
CLC:  TM 734  
基金资助: 国家自然科学基金资助项目(52477106).
通讯作者: 邢海军     E-mail: 2576977192@qq.com;xinghj@shiep.edu.cn
作者简介: 全文斌(2001—),男,硕士生,从事电动汽车、配电网优化研究. orcid.org/0000-0002-8056-6842. E-mail:2576977192@qq.com
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引用本文:

全文斌,邢海军,庄世杰,孙嘉昊,王麒玮,王华昕. 考虑充电桩分配和多方利益的电动汽车有序充电策略[J]. 浙江大学学报(工学版), 2026, 60(7): 1482-1493.

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.

链接本文:

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

图 1  电动汽车有序充电调度系统
图 2  重叠时间区间内的充电过程
图 3  EV参与需求响应对日负荷曲线的影响
图 4  改进多目标粒子群优化算法流程图
图 5  IEEE 33节点配电网拓扑结构
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
表 1  不同调度方案下的优化调度结果
图 6  不同调度方案下的充电桩充电功率
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
表 2  不同充电桩数量下的优化调度结果
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
表 3  不同充电桩数量下的运营商评估指标
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
表 4  用户偏好统一化的优化调度结果
图 7  不同权重系数下EV用户的满意度
MG/%Y/(kW·h)F/元
9081.442 772.32 896.4
6079.382 805.62 816.6
4078.072 821.12 731.4
表 5  偏好多样化场景下的优化调度结果
$\gamma $G/%Y/(kW·h)F/元
0.180.042782.32934.4
0.278.962751.52889.2
0.376.392725.82818.3
表 6  不同退出比例下的优化调度结果
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
表 7  多日负荷场景下的优化调度结果
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
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