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摘要:
针对电动垂直起降飞行器(eVTOL)在垂直起降机场的运行任务规划与容量估算问题,通过对垂直起降机场布局结构的梳理,绘制出运行任务网络图;考虑eVTOL在垂直起降机场内的起降、滑行与保障任务,基于多商品流模型,引入网络内各节点进入时刻、离开时刻,构建出运行任务规划模型,以时间区间内最优任务规划为优化目标,将节点占用时间作为约束;以典型起降机场为例使用Python+Gurobi进行编程求解,对机场容量及影响因素进行计算分析。结果表明:所构建出的任务规划模型具有可行性。在影响垂直起降机场容量因素方面,当起降坪利用率低时,增加1个登机口能增加垂直起降机场3架次容量,并能为垂直起降机场提供100 s容量韧性;而当登机口利用率低时,增加1个起降坪,能为垂直起降机场提供7架次容量;通过缩短30 s起降时长能为垂直起降机场提供平均3架次容量。研究结果有助于未来估算垂直起降机场容量,并为eVTOL在垂直起降机场的运行调度提供一种建模思路。
Abstract:To solve the problem of electric vertical take-off and landing(eVTOL) operational planning and capacity estimation in a vertiport. Firstly, the operation task network was constructed by sorting out the layout structure of the vertiport. Then, based on the multi-commodity flow model and the entry and departure times of each node were set to construct the operational task planning model. The best task planning was taken as the optimization objective, and the node occupation time was taken as a constraint. Following the model's construction, a standard vertiport was utilized as an example, the problem was programmed and solved using Python and Gurobi, and the vertiport's maximum capacity as well as its influencing factors were computed and examined. The results show that the constructed task planning model is feasible. Regarding the variables influencing vertical take-off and landing airport capacity, when pad utilization is low, adding one gate can increase the capacity of three flights and provide a maximum capacity resilience of 100 seconds for vertiport; when boarding gate utilization is low, adding one pad can provide the capacity of seven flights for vertiport, and by reducing the take-off and landing time by thirty seconds, it can provide an average of three flights of capacity for vertiport. It can be seen that the research results are helpful for the estimation of vertiport capacity and provide a modeling idea for operational planning of eVTOL in vertiport.
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Key words:
- urban air mobiliy /
- vertiport /
- multi-commodity flow model /
- task planning /
- capacity estimation
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表 1 测试参数值
Table 1. Test parameter values
ctake-off cland t/s tarrive/s tland/s ttake-off/s tturnaround/s ttaxi/s 1/−1 5 200 15 15 15 40 5 表 2 eVTOL任务规划
Table 2. eVTOL mission scheduling
任务 ai,k/s di,k/s k1 k2 k3 k4 k1 k2 k3 k4 H 0 15 30 45 0 15 70 115 L 0 15 70 115 15 30 85 130 G1 15 85 50 140 G2 30 130 95 165 P 50 95 140 165 55 100 145 170 T 55 100 145 170 70 115 160 185 表 3 垂直起降机场运行参数
Table 3. Vertiport operation values
15 min CArr/架 15 min CDep/架 TMaxArr/s TMinArr/s TMaxDep/s TMinDep/s 8 4 900 60 630 1 290 表 4 eVTOL 运行参数
Table 4. eVTOL operation values
ctake-off cland t/s tarrive/s tland/s ttake-off/s tturnaround/s ttaxi/s 1/−1 5 900 60 60 60 300 15 表 5 功能区利用率
Table 5. Functional area utilization rate
登机口数量 起降坪利用率/% 登机口平均利用率/% 登机口等待率/% 1 27 70 0 2 47 71 15 3 67 60 17 4 87 48 8 5 97 47 23 6 100 53 53 表 6 不同起降坪数量下的功能区利用率
Table 6. Functional area utilization rate of different pads number
起降坪数量 起降坪平均
利用率/%登机口平均
利用率/%登机口
等待率/%1 57 66 17 2(融合运行) 70 59 0 2(独立运行) 70 59 0 表 7 缩短起降时长功能区利用率
Table 7. Functional area utilization rate of shorten take-off and land time
登机口数量 起降坪利用率/% 登机口平均利用率/% 登机口等待率/% 1 17 80 10 2 30 72 0 3 43 53 2 4 57 66 17 5 63 68 22 6 70 68 37 -
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