Calculation of solar radiation based on inhomogeneous atmosphere model

doi:10.3969/j.issn.0253-2778.2015.06.010

Abstract

Abstract: An inhomogeneous atmosphere model was proposed to derive formulas which can be used to calculate single-wavelength solar radiation and solar irradiance at any height, from the Earths surface to various levels of the atmosphere. Besides, the error from ignoring the curvature of the atmosphere was considered, and a correction method was given to reduce it. The validation results show that calculated values are closely consistent with measured data.

Key words: spectral distribution, solar irradiance, Beers law, altitude, inhomogeneous atmosphere model

CLC Number:

TK511

ZENG Li, CHENG Xiaofang. Calculation of solar radiation based on inhomogeneous atmosphere model[J]. Journal of University of Science and Technology of China, 2015, 45(6): 490-496.

References

［1］ Tong Chengli, Zhang Wenju, Tang Yang, et al. Estimation of daily solar radiation in China［J］. Agricultural Meteorology, 2005，26（3）：165-169.
童成立，张文菊，汤阳，等.逐日太阳辐射的模拟计算［J］.中国农业气象，2005，26（3）：165-169.
［2］ Qiu Guoquan, Xia Yanjun, Yang Hongyi. An optimized clear-day solar radiation model［J］. Acta Energiae Solaris Sinica, 2001，22（4）：456-460.
邱国佺，夏艳君，杨鸿毅.晴天太阳辐射模型的优化计算［J］.太阳能学报2001，22（4）：456-460.
［3］ Lin Yuan. The model of the solar radiation energys establishment and verification［J］. Journal of Anhui Institute of Architecture & Industry (Natural Science), 2007，12（5）：44-46.
林媛.太阳辐射强度模型的建立及验证［J］.安徽建筑工业学院学报，2007，12（5）：44-46.
［4］王炳忠，莫月琴，杨云.现代气象辐射测量技术［M］.北京：气象出版社，2008：26-30.
［5］ Li Jinping, Song Aiguo. Compare of clear day solar radiation model of Beijing and Ashrae［J］. Journal of Capital Normal University(Natural Science Edition), 1998，19（1）：35-38.
李锦萍，宋爱国.北京晴天太阳辐射模型与ASHRAE模型的比较［J］.首都师范大学学报，1998，19（1）：35-38.
［6］石广玉.大气辐射学［M］.北京：科学出版社，2007：4-9.
［7］赵凯华，钟锡华.光学［M］.北京：北京大学出版社，1984：228-234.
［8］李申生.太阳能物理学［M］.北京：首都师范大学出版社，1996：28-68.
［9］ Xue Datong. Studies of altitude distribution of Earths amosphere density［J］.Chinese Journal of Vacuum Science and Technology, 2009，29（S1）：1-8.
薛大同.对地球大气密度随高度分布规律的讨论［J］.真空科学与技术学报，2009，29（增）：1-8.
［10］寿荣中，何慧姗.飞行器环境控制［M］.北京：北京航空天文学出版社，2004：6-12.
［11］刘鉴民.太阳能利用［M］.北京：电子工业出版社，2010：9-35.
［12］ Ding Lixing, Liu Xianping, Ji Jie, et al. The research of numerical calculation of solar projected area on building surface［J］. Acta Energiae Solaris Sinica，2009，30（12）：1 662-1 665.
丁力行，刘仙萍，季杰，等.建筑表面太阳投影面积的数值计算研究［J］.太阳能学报，2009，30（12）：1 662-1 665.
［13］ Xu Qingshan, Zang Haiyang, Bian Haihong. Establishment and feasibility researches of practical solar radiation model［J］. Acta Energiae Solaris Sinica, 2011，32（8）：1 181-1 185.
徐青山，臧海洋，卞海红.太阳辐射实用模型的建立与可行性研究［J］.太阳能学报，2011，32（8）：1 181-1 185.
［14］顾皓楠.太阳模拟器AM1.5滤光片的研制［D］.长春：长春理工大学，2012：8-9.
［15］国家气象信息中心.中国辐射日值数据集［DB/OL］. （2005-06-18）［2015-04-05］http://cdc.nmic.cn/dataSetLogger.do?changeFlag=dataLogger&tpCat=RADI&titleName=%E6%B0%94%E8%B1%A1%E8%BE%90%E5%B0%84%E8%B5%84%E6%96%99.

（上接第459页）

［8］ Fan J, Li R. Variable selection via nonconcave penalized likelihood and its oracle properties［J］. Journal of the American Statistical Association, 2001, 96(456): 1 348-1 360.
［9］ Chang Y C I. Sequential confidence regions of generalized linear models with adaptive designs［J］. Journal of Statistical Planning and Inference, 2001, 93: 277-293.
［10］ Lu H B, Wang Z F, Wu Y H. Sequential estimate for generalized linear models with uncertain number of effective variables［J］. Journal of Systems Science and Complexity, 2015, 28(2): 424-438.
［11］ Chang Y C I. Sequential estimation in generalized linear models when covariates are subject to errors［J］. Metrika, 2011, 73: 93-120.
［12］ Chow Y S, Robbins H. On the asymptotic theory of fixed-width sequential confidence intervals for the mean［J］. The Annals of Mathematical Statistics, 1965, 36(2): 457-462.
［13］ Chang Y C I. Strong consistency of maximum quasi-likelihood estimate in generalized linear models via a last time［J］. Statistics & Probability Letters, 1999, 45(3): 237-246.
［14］ Siegmund D. Sequential Analysis: Tests and Confidence Intervals［M］. New York: Springer-Verlag, 1985.
［15］ Whitehead J. The Design and Analysis of Sequential Clinical Trials［M］. 2nd ed. New York: John Wiley & Sons, 1997.
［16］ Anscombe F J. Large sample theory of sequential estimation［J］. Mathematical Proceedings of the Cambridge Philosophical Society, 1952, 48(4): 600-607.
［17］ Woodroofe M. Nonlinear Renewal Theory in Sequential Analysis［M］. Philadelphia: Society for Industrial and Applied Mathematics, 1982.
［18］ Willems J, Saunders J, Hunt D, et al. Prevalence of coronary heart disease risk factors among rural blacks: A community based study［J］. Southern Medical Journal, 1997, 90(8):814-820.
［19］ Lai T L, Wei C Z. Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems［J］. The Annals of Statistics, 1982, 10(1): 154-166.