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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1.西安理工大学;2.东北师范大学

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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(2025HZ1457);陕西省教育厅一般专项科学研究计划项目人文专项(25JK0162)


Research on the 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问题中,传统方法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,以及复杂路网下需求时空异质性导致的全局优化困难等问题,本文提出了一种双目标优化与覆盖率约束融合的新型选址模型,并设计了改进鲸鱼优化算法(IWOA)求解帕累托最优解集。首先,将覆盖率定位为刚性约束,建立了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,并在需求点唯一覆盖、排队系统稳态等约束下实现协同优化;其次,在算法设计上引入自适应权重控制机制、混合搜索策略及局部搜索增强,显著提升算法的全局搜索能力与收敛效率;最后,基于西安市POI数据和实际路网数据选取80个需求点、64个候选站点,通过算例分析对比了IWOA与PSO、GA等算法的性能,并构建成本-服务水平-覆盖率三维决策框架直观展示约束条件对优化目标的影响。研究结果表明,该方法在覆盖率约束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1224±73万元,用户平均等待时间缩短至3.3±0.4分钟。本研究能够为解决充电基础设施布局滞后问题提供系统性决策框架,对提升城市电动交通网络效能具有重要实践价值。

    Abstract:

    In order to solve the problems of traditional methods ignoring the trade-off between cost and service level, the coverage is not used as a rigid constraint, and the difficulty of global optimization caused by the spatio-temporal heterogeneity of demand under complex road networks, a new site selection model that integrates dual-objective optimization and coverage constraints is proposed, and the Pareto optimal solution set is designed with the improved whale optimization algorithm (IWOA). The model uses the distance satisfaction function based on cosine and the M/M/s queuing model to quantify the service level, and evaluates the cost by integrating fast/slow charging preferences and peak hours correction by capital recovery factors, and realizes collaborative optimization under the constraints of unique coverage of demand points and steady-state of queuing system. Secondly, the adaptive weight control mechanism, hybrid search strategy and local search enhancement are introduced in the algorithm design to significantly improve the global search ability and convergence efficiency of the algorithm. Finally, based on the POI data and actual road network data in Xi'an, 80 demand points and 64 candidate stations are selected, and the performance of IWOA, PSO, GA and other algorithms is compared through example analysis, and a cost-service-level-coverage three-dimensional decision-making framework is constructed to visually display the impact of constraints on the optimization goal. The results show that the proposed method achieves the optimal trade-off when the coverage rate constraints are 0.8, the service coverage rate is increased to 93.6±1.7%, the full-cycle cost is reduced to 12±2473 million yuan, and the average waiting time of users is shortened to 3.3±0.4 minutes. This study can provide a systematic decision-making framework for solving the problem of lagging charging infrastructure layout, and has important practical value for improving the efficiency of urban electric transportation network.

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  • 收稿日期:2025-09-01
  • 最后修改日期:2026-01-30
  • 录用日期:2026-01-31
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