华南理工大学学报(自然科学版) ›› 2026, Vol. 54 ›› Issue (3): 91-103.doi: 10.12141/j.issn.1000-565X.250244

• 智慧交通系统 • 上一篇    下一篇

基于电池—车辆匹配的寒区城市电动公交调度优化

胡宝雨   张禹衡   

  1. 东北林业大学 土木与交通学院,黑龙江 哈尔滨 150040
  • 出版日期:2026-03-25 发布日期:2025-10-31

 Electric Bus Scheduling Optimization in Cold Regions via Battery-Vehicle Matching

HU Baoyu   ZHANG Yuheng   

  1. College of Civil Engineering and Transportation,Northeast Forestry University,Harbin 150040,Heilongjiang,China

  • Online:2026-03-25 Published:2025-10-31

摘要:

针对寒区电动公交在极端温差下出现的电池额外寿命衰减和续航里程变化大等问题,提出“电池—车辆匹配”集成调度策略。该策略根据季节温度与线路负载需求,为车队装配不同容量的电池来进行车辆调度,帮助公交运营商制定更优的运营方案。模型方面,以运营商成本最小化为目标建立混合整数规划模型,综合计算车辆电池购置费用、日均维护成本和考虑分时电价与需求费率的充电费用,量化了电池的循环退化和日历退化损耗,整合出一个综合的电池寿命退化函数放入成本计算中。算法方面,针对该NP-hard模型的求解,设计了一种混合遗传算法(Hybrid Genetic Algorithm, HGA),其中结合了后处理精炼策略,提升算法的求解效率。围绕哈尔滨实际公交路线进行研究,结果表明,优化后的年均摊总成本降低了17.8%,所需车队规模减少了16.4%,车辆购置与维护成本相应节约了11.5%和16.8%。比较明显的是,双电池配置使电池拥有成本的年均退化值降低了39.7%,有效延长了电池资产的实际使用寿命。最终的敏感性分析显示,在春秋季等温度适宜季节适当放宽电池荷电状态上限,可以减少循环次数,从而更好地延缓电池老化。最后补充说明了模型在更大规模场景下的适用性。此项研究为寒冷地区电动公交的可持续运营提供了理论模型与优化工具,对运营商制定季节性运营策略具有重要作用。


关键词: 电动公交, 车辆调度, 遗传算法, 电池退化, 混合电池配置

Abstract:

An integrated "battery-vehicle matching" strategy was proposed to address key issues for electric buses in cold regions. These issues include accelerated battery degradation and significant variability in driving range. In this strategy, vehicles are equipped with different capacity batteries based on seasonal temperatures and route demands. This method allows for more optimized vehicle scheduling. A mixed-integer programming model was developed to minimize total operator costs. The model calculated battery acquisition costs, daily maintenance, and charging fees that considered time-of-use rates. A comprehensive function, which quantified both cyclic and calendar battery degradation, was integrated into the cost calculations. This complex model was solved using a specially designed Hybrid Genetic Algorithm (HGA). A study was conducted centered on the actual operating bus routes in Harbin. The results showed significant improvements. The total annualized cost was reduced by 17.8%, and the required fleet size was decreased by 16.4%. Consequently, vehicle acquisition and maintenance costs were saved by 11.5% and 16.8%, respectively. It was also noted that a dual-battery configuration cut annual battery degradation costs by 39.7%, effectively extending the service life of the batteries. Finally, a sensitivity analysis revealed that battery aging can be further slowed by relaxing the maximum state of charge during mild seasons. Additionally, the applicability of the model in larger-scale scenarios is discussed in the concluding section of the instance analysis. This study provides a valuable model and tool for operators to develop seasonal strategies for sustainable operations in cold climates.

Key words: electric bus, vehicle scheduling, genetic algorithm, battery degradation, hybrid battery configuration