双目标优化与覆盖率约束融合的城市电动汽车充电站选址研究
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TM910.6;U491.8

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教育部人文社会科学研究青年基金项目(25YJC630113);陕西省哲学社会科学研究专项基金项目(2025HZ1457);陕西省教育厅一般专项科学研究计划人文社科专项项目(25JK0162).


Research on site selection of urban electric vehicle charging stations integrating dual-objective optimization and coverage constraints
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    摘要:

    针对当前城市电动汽车充电站选址忽视成本与服务水平的权衡关系、覆盖率未被作为刚性约束等问题, 提出一种双目标优化与覆盖率约束融合的选址模型, 并设计改进鲸鱼优化算法(IWOA)求解帕累托最优解集. 首先, 将覆盖率设为刚性约束, 建立以最大化服务水平与最小化全周期总成本为核心的双目标规划模型, 该模型采用基于余弦的距离满意度函数和M/M/s排队模型量化服务水平, 通过资本回收因子整合快/慢充电偏好及高峰时段修正进行成本评估; 其次, 在算法设计上引入自适应权重控制、混合搜索策略及局部搜索增强, 提升算法的全局搜索能力与收敛效率; 最后, 基于西安市实际数据选取80个需求点、64个候选站点, 通过算例分析对比IWOA与其他算法的性能, 并构建成本-服务水平-覆盖率三维决策框架展示约束条件对优化目标的影响. 结果表明, 所提出方法在覆盖率约束0.8时实现最优权衡, 服务覆盖率提升至93.6 ± 1.7%, 全周期成本降低至1 224 ± 73万元, 用户平均排队等待时间缩短至3.3 ± 0.4 min.

    Abstract:

    Aiming at the current problems such as the trade-off between cost and service level in the location selection of urban electric vehicle charging stations, and the fact that coverage is not used as a rigid constraint, this paper proposes a site selection model that integrates dual-objective optimization and coverage constraints, and designs the Pareto optimal solution set with the improved whale optimization algorithm (IWOA). Firstly, the coverage rate is set as a rigid constraint, and a dual-objective programming model with maximizing service level and minimizing the total cost of the whole cycle is established, which uses the cosine-based distance satisfaction function and M/M/s queuing model to quantify the service level, and evaluates the cost by integrating fast/slow charging preferences and peak hour correction by capital recovery factors. Secondly, adaptive weight control, hybrid search strategy and local search enhancement are incorporated into the algorithm to improve its global search ability and convergence efficiency. Finally, based on the actual data of Xi'an, 80 demand points and 64 candidate sites are selected, and the performance of the IWOA and other algorithms is compared through example analysis, and a cost-service-level-coverage three-dimensional decision-making framework is constructed to show the influence of constraints on the optimization goal. The results show that the proposed method achieves the optimal trade-off when the coverage constraint is 0.8, the service coverage rate increases to 93.6 ± 1.7%, the full-cycle cost is reduced to 12.24 ± 0.73 million yuan, and the average queue waiting time of users is shortened to 3.3 ± 0.4 minutes.

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李建勋,刘思雨,张赫,等.双目标优化与覆盖率约束融合的城市电动汽车充电站选址研究[J].控制与决策,2026,41(8):2202-2214

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  • 收稿日期:2025-09-01
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  • 在线发布日期: 2026-07-13
  • 出版日期: 2026-08-10
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