基于高效数值积分的实际导航性能评估方法

摘要

To meet the requirements of airborne navigation systems that raised by ICAO's PBN, an Actual Navigation Performance (ANP) evaluation method of BD2 multimode airborne navigation system in civil aircraft is proposed. An efficient numerical integration algorithm to solve the 95% ANP error circle is studied, which combines Gauss Method and Simpson Method and is based on the two dimensional normal distribution of navigation error. The simulation results show that this evaluation method effectively improves the calculation accuracy of error circle probability with less operation loss. This evaluation method is suitable for the ANP assessment of airborne BD2 navigation system. And the evaluation results meet the requirements of civil aircraft navigation performance raised by ICAO.%针对ICAO提出的基于性能导航对机载导航系统的要求,提出一种适用于"北斗二代"多模导航系统的民机机载导航实际导航性能评估方法.基于导航位置误差的二维正态分布特性,提出一种Gauss三点公式结合复化Simpson公式的高效数值积分求解算法,求解95%概率实际导航性能误差圆.仿真实验表明,方法以较小的运算损耗有效提高了误差圆概率计算的准确性,适用于基于"北斗二代"的机载导航系统实际导航性能评估,同时评估结果满足国际民航组织对民用飞机导航性能的要求.