基于布朗运动的自由飞行下多机碰撞风险研究

Study on Collision Risk between Multiple Aircrafts under Free Flight Condition Based on Brownian Motion

自由飞行是提高空域容量的飞行模式,为了保障自由飞行的安全性,需要研究自由飞行条件下飞机的安全评估问题。研究自由飞行下的多机碰撞风险,用布朗运动来刻画飞机的随机定位误差。根据相对运动的原理,建立多架飞机在水平投影面和垂直投影面随机运动学模型。多架飞机相互运动的过程中碰撞风险发生改变,据此建立碰撞风险模型。利用了梯形法对模型进行求解,最后通过算例分析,给出的模型具有可行性。

Free flight is a flight mode that improve the airspace capacity, in order to ensure the safety of the free flight, safety evaluation problem of the flights should be studied under the condition of free flight. In this paper, we study multiple flights collision risk under the free flight. Brownian motion is used to de- pict the random position error of the flight. According to the principle of relative motion, multiple flights random kinematics model is established in horizontal plane and vertical plane, respectively. The collision risk exists in the process of mutual movement of the multiple flights, so the collision risk model is set up accordingly. The model is solved using the trapezoidal method, and finally the proposed model is proved feasible by an example analysis.