首页|期刊导航|陕西师范大学学报(自然科学版)|考虑电池退化的纯电动公交行车计划优化模型与算法

考虑电池退化的纯电动公交行车计划优化模型与算法OA

Optimization model and algorithm for electric bus scheduling plan considering battery degradation

中文摘要英文摘要

随着城市公交电气化的推进,电动公交的里程限制和充电需求使得行车计划设计和运营面临新的挑战,不合理的充电行为会加速电池退化,从而导致充电及电池折旧成本增加,续航里程缩减,影响正常公交运营.针对这一问题,考虑电池退化对电动公交运营的影响,兼顾能耗、分时电价和充电特性等多个因素,建立以包括车队运营成本和电池退化成本在内的总成本最小为目标的电动公交行车计划优化模型.针对单车场和多车场问题分别设计遗传算法与邻域搜索算法,以郑州公交线路为例检验模型及算法,并对比分析考虑电池退化成本的影响.结果表明:考虑电池退化的模型有效促进车队优化充放电行为,总充电时间下降 10.34%,充电费用下降 2.39%,说明电池退化成本的惩罚会导致最优解朝着充放电过程较少的解移动;对比不同充电模式,非线性充电的成本高于线性充电.在多车场跨线路的场景下,以 21~36 km 之间的三条线路为例,对电池容量进行敏感性分析:当电池容量增大时,充满电的车辆能执行的班次数增加,车队规模减小;由于车辆在白天高电价期间的充电需求下降,因此充电成本降低;同时,充放电次数减少也导致电池退化成本降低.

With the advancement of the electrification of urban public transport,the mileage limit and charging demand of electric buses make the design and operation of the scheduling face new challenges.Unreasonable charging behavior will accelerate the degradation of the battery,resulting in the increase of the cost of charging and battery depreciation,and the reduction of the driving range,affecting the normal bus operation.Considering the impact of battery degradation on the operation of electric bus,taking into account many factors such as energy consumption,time-of-use price and charging characteristics,an optimization model of electric bus trip planning was established with the goal of minimizing the total cost,including fleet operating cost and battery degradation cost.Genetic algorithm and neighborhood search algorithm were designed respectively for single and multi depots problems.The model and algorithm were tested by taking Zhengzhou bus line as an example,and the influence of battery degradation cost on calculation results was compared and analyzed.The results show that the model considering battery degradation can effectively promote the optimal charging and discharging behavior of the fleet,and the total charging time and charging cost decrease by 10.34%and 2.39%,indicating that the penalty of battery degradation cost will cause the optimal solution to move towards the solution with less charging and discharging process.Comparing different charging modes,the cost of nonlinear charging is higher than that of linear charging.Finally,in the multi-depots multi-line scenario,the sensitivity analysis of the battery capacity is carried out by taking three lines between 21 km and 36 km as an example.When the battery capacity increases,the number of shifts that a fully charged vehicle can perform increases and the fleet size decreases.Charging costs are decreased due to lower charging demand for vehicles during high electricity prices during the day.At the same time,the reduction of charge and discharge times also leads to the reduction of battery degradation costs.

王心怡;刘锴;孙莹晗;何劲

大连理工大学 建设工程学院,辽宁 大连 116024||大连理工大学 经济管理学院,辽宁 大连 116024大连理工大学 经济管理学院,辽宁 大连 116024大连理工大学 建设工程学院,辽宁 大连 116024国家工业信息安全发展研究中心,北京 100040

信息技术与安全科学

电动公交电池退化行车计划遗传算法邻域搜索算法非线性充电

electric busbattery degradationbus scheduling plangenetic algorithmneighborhood search algorithmnonlinear charging

《陕西师范大学学报(自然科学版)》 2026 (5)

29-42,14

国家自然科学基金(72471045)辽宁省揭榜挂帅重点项目(2022JH1/10800098)

10.15983/j.cnki.jsnu.2026505

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