运筹与管理 ›› 2025, Vol. 34 ›› Issue (7): 24-31.DOI: 10.12005/orms.2025.0203

• 理论分析与方法探讨 • 上一篇    下一篇

电动汽车充换放储一体站选址定容双层规划模型及算法

余冰, 刘勇, 马良   

  1. 上海理工大学 管理学院,上海 200093
  • 收稿日期:2023-06-09 发布日期:2025-11-04
  • 通讯作者: 刘勇(1982-),男,江苏金湖人,博士,副教授,研究方向:智能优化,系统工程。Email: liuyong.seu@163.com。
  • 作者简介:余冰(1999-),女,安徽淮南人,博士研究生,研究方向:智能优化,系统工程。
  • 基金资助:
    教育部人文社会科学研究青年基金项目(21YJC630087);上海市哲学社会科学规划课题(2019BGL014)

Bi-level Model and Algorithm for Locating and Sizing Electric Vehicle Charging-swapping-discharging-storage Integrated Station

YU Bing, LIU Yong, MA Liang   

  1. Business School, University of Shanghai for Science and Technology, Shanghai 200093, China
  • Received:2023-06-09 Published:2025-11-04

摘要: 针对电动汽车充放换储一体站的站址选择及容量设计的问题,考虑电动汽车时空分布特点、不同车型的行为特征、多容量充电桩和多种充电策略等,建立时空物负荷模型,采用蒙特卡洛法求解得到的结果作为选址定容的基础。建立选址定容双层模型,上层考虑建设成本、储能成本和运维成本之和最小优化选址,下层考虑用户行驶距离最短划分服务范围,将得到的负荷返回给上层进行定容优化。针对该NP-hard问题的特点,引入锚定效应,贴合人类决策行为特点设计一种新型生活选择算法,结合Dijkstra算法混合求解。以上海市某区域为例进行实证研究,得到的结果贴合实际。采用统计分析和Wilcoxon检验将NLCBO和其他五种算法进行实验对比,发现该算法求解精度更高,收敛速度更快,验证了模型的可行性和算法的优越性。

关键词: 时空物负荷模型, 充电需求预测, 选址定容, 双层规划, 生活选择算法

Abstract: In the context of carbon peaking and carbon neutrality, automobiles are one of the main sources of greenhouse gas emissions such as carbon dioxide, so promoting new energy vehicles to replace fuel vehicles is a necessary condition for promoting energy transformation and achieving carbon peaking. As a key node and important foundation for promoting the use of electric vehicles and implementing green transportation, the planning and construction of charging and swapping infrastructure need to solve the problem of accurate prediction of electric vehicle charging and swapping demand. Electric vehicle load distribution is characterized by randomness and fluctuation in time and space, and is reasonably predicted and laid out according to the results. On the basis of the prediction results, we study the siting of electric vehicle charging stations, and the size and capacity setting of various types of equipment to meet the user demand, and consider the costs of construction, operation andmaintenance of charging stations to ensure a certain degree of economy while meeting the user demand.
This paper establishes a space-time-vehicle load model including private electric vehicle, electric taxi and electric bus, considering the characteristics of electric vehicle distribution, distinguishing behavioral characteristics of different vehicle types, multi-capacity charging piles and distinguishing different charging strategies for peak and idle periods, etc. The Monte Carlo method is used to determine the spatial and temporal distribution of electric vehicles to be charged, real-time speed updates, acceptable waiting time for electric vehicle users, remaining power and range. The selection of EV charging piles and charging strategies are also simulated. Based on the prediction results, a bi-level model is established for the location and capacity of electric vehicle charging-swapping-discharging-storage integrated stations. The upper-level planning considers the minimum sum of construction cost, energy storage cost and operation and maintenance cost to optimize the location. The lower-level planning takes the shortest electric vehicle driving distance as the goal to divide the service area, and returns the load to the upper level for capacity optimization. The upper and lower layer transfer to each other and influence each other. The bi-level planning balance the economy of investment and operation with the convenience of charging and driving for EV users.
The model is a NP-hard problem, and the exact algorithm can only solve relatively small-scale problems, so the intelligent optimization algorithm is chosen as the optimal solution to the problem. The life choice-based optimizer is an intelligent optimization algorithm that is simple to compute and efficient to solve on continuous optimization. This paper designs a hybrid coding method to apply to discrete practical problems, which not only retains the advantage of the algorithm's strong ability to find the best, but also allows the continuous optimization algorithm to be applied to solve practical problems in discrete domains. Considering that the algorithm still has the defect of easily returning to a local optimized result, the anchoring effect theory is introduced to design a new updating equation according to the characteristics of human decision-making behavior, improve the population quality and expand the algorithm to the search area, so as to obtain a novel life choice-based optimizer. This new algorithm improves convergence accuracy while balancing global exploitation capabilities with local exploration capabilities.
The new algorithm is combined with Dijkstra's algorithm to solve the new model in order to verify the effectiveness of the model. The experimental results show that the model is reasonable and necessary in distinguishing between multiple car models, different regional attributes, multi-capacity charging piles, and peak and idle charging strategies. Further, to verify the superiority of the algorithm, the new algorithm is compared with other five algorithms for experiments. The results prove that the new algorithm has the advantages of stability and fast convergence. The reliability of the new algorithm is verified by Wilcoxon rank sum test. How to take a more effective method to improve the life choice-based optimizer and apply it to solve the problems of site selection and volume of hydrogen refueling stations is the further research direction.

Key words: space-time-vehicle load model, charging demand forecasting, location and sizing, bi-level planning, life choice-based optimizer

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