Accurate and efficient calculation of the solar position is of great value in the fields of remote sensing radiation calibration and solar energy acquisition. Firstly, in this work we use the numerical fitting method to improve the calculation of the solar declination aiming at solving the problem that the differences in data among different years has not been considered enough in the original algorithms. According to the periodicity represented by the error curves, an improved algorithm for solar declination calculation based on a period of four years is proposed by using the Fourier expansion method. Then the formula of the solar elevation angle under the earth ellipsoid model is derived. Finally, the improved formula of the atmosphere refraction at elevation angles of 0°-30° is proposed to solve the problem of excessive errors of the original algorithms at small elevation angles, because the atmosphere refraction affects the observation and calculation of the solar position. The results show that the algorithms given in this paper significantly reduce the errors in the calculations of the solar declination angle, the solar elevation angle, and the atmosphere refraction at small elevation amgles. The calculation process is simple and efficient, which accords with the requirements of the relevant project.
LI Wen
,
ZHAO Yongchao
. The improvement in solar position calculations in the ellipsoid model of the earth[J]. Journal of University of Chinese Academy of Sciences, 2019
, 36(3)
: 363
-375
.
DOI: 10.7523/j.issn.2095-6134.2019.03.010
[1] 路博.光伏系统中的高精度太阳跟踪方法研究[D].河南新乡:河南师范大学, 2012.
[2] 卢国杰.基于GPS的太阳跟踪控制系统研究[D].北京:华北电力大学, 2013.
[3] Cooper P I. The absorption of radiation in solar stills[J]. Solar Energy, 1969, 12(3):333-346.
[4] Spencer J W. Fourier series representation of the position of the sun[J]. Search, 1971, 2(5):172.
[5] Stine W B. Solar energy fundamentals and design with computer applications[M]. New York:Jone Wiley & Sons, 1985, 38-69.
[6] Bourges B. Improvement in solar declination computation[J]. Solar Energy, 1985, 35(4):367-369.
[7] Yu H. Study on the formula of the solar declination and time difference in meteorology[J]. Meteorological, Hydrological and Marine Instrument, 2006, 3(4):50-53.
[8] Lamm L O. A new analytic expression for the equation of time[J]. Solar Energy, 1981, 26(5):465.
[9] Duffle J A, Beckman W A. Solar engineering of thermal processes[M]. New York:Jone Wiley & Sons Inc, 1980:8-28.
[10] Reda I, Andreas A. Solar position algorithm for solar radiation applications[J]. Solar Energy, 2004, 76(5):577-589.
[11] Grena R. An algorithm for the computation of the Solar position[J]. Solar Energy, 2008, 82(5):462-470.
[12] Blanco M, Alarcon D C, Lopea M T, et al. Computing the solar vector[J]. Solar Energy, 2001, 70(5):431-441.
[13] Sproul A B. Derivation of the solar geometric relationships using vector analysis[J].Renew Energy, 2007, 32(7):1187-1205.
[14] Xue B S, Han D Y. Simulation of the sun position and geomagnetic parameters effect in pigeon homing navigation[J]. Navigation and control, 2017, 16(2):25-29.
[15] Wang G A, Mi H T, Deng T H, et al. Calculation of the change range of the sun high angle and the azimuth of sunrise and sunset in one year[J]. Meteorological and Environmental Sciences, 2007, 30(9):161-164.
[16] Wang B Z, Liu G S. Improvement in the astronomical parameters computation for solar radiation observation[J]. Acta Energiae Solaris Sinica, 1991, 12(1):28-32.
[17] Wang C L. Calculating the parameters that relate to the sun in calculation model of the ionosphere electron concentration[J]. Journal of CAEIT, 2013, 1(8):86-90.
[18] Long X. The design of automatic sun tracking system[D]. Changsha:Hunan University, 2013.
[19] Men T, Shi J X, Xu R, et al. Correction method of atmospheric refraction based on the low elevation infrared measurement[J]. Infrared and Laser Engineering, 2016, 45(1):0117004.
[20] Saastamoinen J. Contributions to the theory of atmospheric refraction(Part I)[J].Bulletin Geodesique. 1972, 46(3):279-298.
[21] Saastamoinen J. Introduction to practical computation of astronomical refraction[J]. Bulletin Geodrsique, 1972,46(4):383-397.
[22] Saastamoinen J. Contributions to the theory of atmospheric refraction (Part Ⅱ)[J]. Bulletin Greodesique (1946-1975). 1973, 107(1):13-34.
[23] 张捍卫, 雷伟伟, 丁安民. 低高度角处的蒙气差级数展开式[J].天文学报, 2013, 54(6):562-568.
[24] 张同双,钟德安,李晓勇,等.基于递推最小二乘算法的惯导姿态误差动态标定方法[J].电讯技术, 2011,51(8):11-15.
[25] Zhang F, Zhang L J, Qiu B Z. A rational function approximation method to calculate atmosphere refraction as the solar in low angle[J]. Acta Energiae Solaris Sinica, 2015, 36(9):2189-2195.
[26] Saemundsson K. Atmospheric refraction[J]. Sky and Telescope, 1986, 72(1):70.
[27] Guo J M, Zhao J Y, He X, et al. Calibration of installation angle for high accuracy shipboard star sensor[J]. Optics and Precision Engineering, 2016, 24(3):609-615.
[28] Mao Y X, Zhang T S, Zhu W K, et al. A real-time atmospheric refraction correction method for measurement data of ship-borne star sensors[J]. Journal of Spacecraft TT&C Technology, 2012, 31(3):50-53.
[29] 中国科学院紫金山天文台.2018年中国天文年历[M].北京:科学出版社, 2017:594-59.
[30] 毛萍,黄东晓,王芋华,等. 全球变化领域研究现状与趋势的大数据分析[J].中国科学院大学学报,2017,34(4):441-451.
[31] 江威,何国金,彭燕,等. 夜光遥感在"一带一路"战略中的应用潜力展望[J].中国科学院大学学报,2017,34(3):296-303.
[32] 袁益琴,何国金,王桂周,等. 背景差分与帧间差分相融合的遥感卫星视频运动车辆检测方法[J].中国科学院大学学报,2018,35(1):50-58.
