Abstract This paper presents the development, testing and validation of a novel generic type universal model consisting of a set of sine and cosine harmonics in the temporal and spatial domain suitably parameterized for the prediction of the mean expected global solar radiation H(n,φ) on the horizontal for a day, n, at any latitude φ. Its prediction power is further enhanced with the introduction of a correction term for the site altitude taking into account the φ dependent atmospheric height. Solar radiation data from 53 stations around the earth were obtained from GEBA database to train the model. H(n,φ) is expressed by a Fourier series of compact form with the zero frequency component dependent on φ providing the main spatial dependence and two n dependent harmonics in the form of cosine functions giving the time dependence. The φ dependent model parameters follow symmetry rules and are expressed by Fourier series up to the 3rd order harmonic. The 3D spatiotemporal profile of the model is in agreement to the extraterrestrial one. The model was validated using GEBA data from additional 28 sites and compared with NASA, PVGIS and SoDa data, showing the robustness, reliability and prediction accuracy of the proposed model.

中文翻译：

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基于傅里叶级数和站点高度的全球太阳辐射时空通用模型预测

摘要 本文介绍了一种新型通用型通用模型的开发、测试和验证，该模型由一组时空域中的正弦和余弦谐波组成，这些谐波被适当地参数化以预测平均预期全球太阳辐射 H(n,φ)在水平方向上一天，n，在任何纬度 φ。考虑到依赖于 φ 的大气高度，引入了站点高度的校正项，进一步增强了其预测能力。从GEBA数据库中获取地球周围53个站点的太阳辐射数据来训练模型。H(n,φ) 由紧凑形式的傅立叶级数表示，其中零频率分量取决于 φ 提供主要空间相关性，两个 n 相关谐波以余弦函数的形式给出时间相关性。依赖于 φ 的模型参数遵循对称规则，并由傅立叶级数表示直至三阶谐波。该模型的 3D 时空剖面与外星人的时空剖面一致。该模型使用来自另外 28 个站点的 GEBA 数据进行了验证，并与 NASA、PVGIS 和 SoDa 数据进行了比较，显示了所提出模型的稳健性、可靠性和预测准确性。