一种计算太阳低仰角蒙气差的有理函数逼近方法  

A RATIONAL FUNCTION APPROXIMATION METHOD TO CALCULATE ATMOSPHERE REFRACTION AS THE SOLAR IN LOW ANGLE

作　　者：张富[1,2] 张丽娟[3] 邱本志 

机构地区：[1]华北水利水电大学资源与环境学院,郑州450011 [2]南京师范大学虚拟地理环境教育部重点实验室,南京210046 [3]洛阳理工学院电气工程与自动化系,洛阳471023 [4]三明市测量队,三明365000

出　　处：《太阳能学报》2015年第9期2189-2195,共7页Acta Energiae Solaris Sinica

基　　金：国家自然科学基金(41101372);虚拟地理环境教育部重点实验室开放基金;中国博士后科学基金(201150M1511;2012M521847)

摘　　要：基于有理函数逼近思想,提出一种计算太阳低仰角蒙气差的有理函数逼近方法。采用中国《2012年天文年历》观测数据作为实验数据,分别与简化微分公式和Saemundsson公式进行对比,实验结果表明:拟合得出的有理函数公式在最大偏差、最小偏差、平均偏差、标准偏差方面均优于Saemundsson公式,除最小偏差其他各项偏差均优于简化的微分公式,其中,最大偏差可控制在3″之内。基于有理函数逼近方法计算蒙气差不仅很大程度上可简化参数计算过程,而且完全满足GIS、城市规划、日照分析等各行业应用精度需求。Based on the idea of rational function approximation, this paper proposes a method to calculate atmosphere refraction as the solar in the low angle. By using on ＂2012 Almanac＂ observation data as the experimental data, and comparing with the simplified differential equation and Saemundsson formula, the experimental results showed that the rational fitting formula is better than those of Saemundsson formula, in the maximum deviation, minimum deviation, average deviation and standard deviation, and those of the simplified differential equation formula besides the minimum deviation. Among them, the maximum deviation can be controlled within 3＂. Comparing to other formulae for calculating the refraction, the rational function approximation method not only simplifies the calculation process, but also can be used in the application accuracy of GIS city planning and sunshine analysis, etc.

关 键 词：蒙气差 大气折射 有理函数 高度角 太阳能 日照分析 太阳位置算法 

分 类 号：TK513.5[动力工程及工程热物理—热能工程]