基于交叉点复杂度的空域通行能力优化方法
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V355

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国家自然科学基金项目(面上项目,重点项目,重大项目)


Optimization of airspace capacity based on intersection complexity
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    摘要:

    为解决空域拥挤导致通行能力下降的问题,提出了一种考虑交叉点复杂度的通行能力优化方法。首先,分析了实际民航运行中存在的痛点和难点,以及以往有关通行能力的研究缺少交叉点建模、管制员负荷测量困难和求解时间复杂度高的缺陷;第二,从高度层、交叉点和航班运行三个方面提出了空域的数学抽象方法,并根据节点的交叉数对空域的数学模型进行简化,剔除了没有交叉的导航台点,降低了空中交通网络抽象后节点矩阵稀疏的问题;第三,分析了交叉点对于通行能力的影响主要在于流量和交叉数两个方面,以这两个方面建立了交叉点的费用函数;第四,以延误最小为目标,以流量平衡、扇区和航路容量、流控容量和非负整数作为约束,建立了通行能力优化模型;第五,分析并指出存在负容差的空中交通网络更容易发生延误,并根据网络延误的特性提出了一种考虑延误反向传播的迭代算法。最后,以华北地区空域为例,从不同流控等级下的延误时间、受影响的航班数和算法计算时间三方面进行仿真。结果表明,模型和算法平均能降低33.58%的延误,且通过合理地分配改航、调时和调减最大程度减少延误。

    Abstract:

    In order to solve the problem of reduced capacity caused by airspace congestion, a capacity optimization method considering the complexity of intersections is proposed. First, it analyzes the pain points and difficulties in actual civil aviation operations, as well as the lack of cross-point modeling, the difficulty of controller load measurement, and the high complexity of solving time in the previous related research on capacity. Second, an abstract method of airspace mathematics is proposed from the three aspects of altitude, intersections and flight operations, and the mathematical description of the airspace is simplified according to the number of intersections of the nodes, eliminating the navigation stations that do not cross, and reducing the airspace. The problem of sparse node matrix after the transportation network is abstracted. Thirdly, it analyzes that the impact of intersections on capacity is mainly in two aspects: flow and number of intersections, and the cost function of intersections is established from these two aspects. Fourth, with the goal of minimizing delays, the traffic balance, sector and route capacity, flow control capacity, and integer non-negative constraints are used to establish a capacity optimization model. Fifth, analyze and point out that air traffic networks with negative tolerances are more prone to delays, and based on the characteristics of network delays, an iterative algorithm considering the back propagation of delays is proposed. Finally, taking the airspace in North China as an example, simulations are carried out from three aspects: the delay time under different flow control levels, the number of affected flights, and the calculation time of the algorithm. The results show that the model and algorithm can reduce delays by 33.58% on average, and reduce delays to the greatest extent through reasonable allocation of diversion, timing and reduction.

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马玲,刘韦廷,王航臣. 基于交叉点复杂度的空域通行能力优化方法[J]. 科学技术与工程, 2022, 22(24): 10796-10804.
Ma Ling, Liu Weiting, Wang Hangchen. Optimization of airspace capacity based on intersection complexity[J]. Science Technology and Engineering,2022,22(24):10796-10804.

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历史
  • 收稿日期:2021-09-30
  • 最后修改日期:2022-05-18
  • 录用日期:2022-04-24
  • 在线发布日期: 2022-09-08
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