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基于Event的融合空域下异构航空器碰撞模型-AFC2026增刊

王兴隆,王康华   

  1. 中国民航大学
  • 收稿日期:2026-06-01 修回日期:2026-07-09 出版日期:2026-07-20 发布日期:2026-07-20
  • 通讯作者: 王兴隆
  • 基金资助:
    天津市科技计划项目

Event-Based Collision Model for Heterogeneous Aircraft in Integrated Airspace

  • Received:2026-06-01 Revised:2026-07-09 Online:2026-07-20 Published:2026-07-20

摘要: 为解决融合空域中无人机与有人机混合运行的碰撞风险评估问题,本文提出了一种基于改进Event模型的碰撞风险分析方法。该方法以传统Event模型为基础,从碰撞盒几何建模、数据链路延迟、尾涡效应和多重安全屏障可靠性四个方面进行修正:采用椭圆柱体碰撞盒替代传统矩形碰撞盒,引入5s数据链路延迟修正和200m尾涡分布距离修正,并建立基于混联结构的多重安全屏障可靠性模型;同时补充基于正态分布假设的位置误差概率分布模型和重叠概率积分表达式,以完善理论框架。本文以深圳南头机场附近AT200大型固定翼无人机与中信海直直升机交叉航线为典型算例,分别计算垂直、纵向和侧向三个方向的碰撞风险,并通过100000次Monte Carlo仿真对解析模型进行验证。结果表明:垂直间隔150m可将风险降至0.41次/百万飞行小时,较130m间隔下降约80%;纵向间隔存在120m临界点,建议采用不小于300m的纵向安全间隔;侧向风险呈双峰特征,第一峰值约在110m,对应主旋翼下洗影响区,第二峰值约在135m,对应尾桨涡流横向扩散区,建议采用不小于200m的侧向间隔;参数敏感性分析表明垂直误差标准差对风险影响最大,敏感性指数0.92;Monte Carlo仿真验证显示解析解与仿真结果的相对误差均在10%以内,模型具有良好的准确性。研究结果可为融合空域安全间隔标准制定提供理论参考。

关键词: 融合空域, 混合运行, Event模型, 安全间隔, 异构航空器

Abstract: To address the problem of collision risk assessment for mixed operations of unmanned aerial vehicles and manned aircraft in integrated airspace, this paper proposes a collision risk analysis method based on an improved Event model. Based on the traditional Event model, the proposed method introduces modifications from four aspects: collision-box geometric modeling, data-link delay, wake vortex effect, and multi-layer safety barrier reliability. Specifically, an elliptical cylindrical collision box is used to replace the conventional rectangular collision box; a 5s data-link delay correction and a 200m wake vortex distribution distance correction are introduced; and a multi-layer safety barrier reliability model based on a series-parallel structure is established. Meanwhile, a position error probability distribution model based on the normal distribution assumption and overlap probability integral expressions are supplemented to improve the theoretical framework. Taking the crossing routes of the AT200 large fixed-wing UAV and a CITIC Offshore Helicopter near Shenzhen Nantou Airport as a typical case, collision risks in the vertical, longitudinal, and lateral directions are calculated, and the analytical model is verified through 100000 Monte Carlo simulations. The results show that a vertical separation of 150m can reduce the risk to 0.41 events per million flight hours, representing an approximately 80% reduction compared with the risk at a 130m separation. A critical threshold exists at a longitudinal separation of 120m, and a longitudinal safety separation of no less than 300m is recommended. The lateral risk exhibits a double-peak characteristic: the first peak occurs at approximately 110m, corresponding to the main rotor downwash influence region, while the second peak occurs at approximately 135m, corresponding to the lateral diffusion region of the tail rotor vortex. Therefore, a lateral separation of no less than 200m is recommended. The parameter sensitivity analysis indicates that the vertical error standard deviation has the greatest influence on collision risk, with a sensitivity index of 0.92. The Monte Carlo simulation results show that the relative errors between the analytical solutions and the simulation results are all within 10%, demonstrating good model accuracy. The research findings can provide theoretical reference for the formulation of safety separation standards in integrated airspace.

Key words: integrated airspace, mixed operation, Event model, safety separation, Heterogeneous aircraft

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