空中防撞系统避撞机制的数学模型

Mathematics Model for Collision Avoidance in Traffic Alert and Collision Avoidance System

  • 摘要: 在TCAS系统中,到达最接近点的时间Tau、HMD和VMD是描述空中碰撞物理过程的主要参数,利用该组参数能够完整地描述TCAS系统的防撞机制。该文通过对到CPA时间的近似,引入对Tau时间的物理解释;并通过坐标变换,采用本机和入侵飞机的相对距离、相对距离变化率和相对距离加速度推导出了HMD的数学表达式;分析了工程实际应用中的修正模型。

     

    Abstract: In the system of traffic alert and collision avoidance system (TCAS), the time of closest point of approach of the aircraft, horizontal miss distance (HMD), and vertical miss distance (VMD) are the primary parameters to describe the concept of collision avoidance. Firstly, the time of Tau is explained physically which approximates the time to closest point of approach (CPA), and then the formal expression of HMD is induced via the transforming of coordinate which is expressed by relative distance, relative distance rate, and relative acceleration between aircrafts. Finally, the modified model for engineering application is considered.

     

/

返回文章
返回