This paper aims to obtain the overall equations of the yearly, seasonal, monthly and daily optimum tilt angles worldwide. So, the daily optimum tilt angle variations are examined for 337 locations in the northern hemisphere and 247 locations in the southern hemisphere, and it is shown that the daily optimum tilt angle changes in cosine form over a year. Then, the daily optimum tilt angle is estimated using a cosine function. The daily optimum tilt angle is independent of the longitude and can be estimated using a function that depends on the latitude and the number of days. The resulting model can be used to calculate the optimum tilt angles in desired intervals. In order to verify the validity of the results, the results of the proposed model are compared with the results of the other papers. It is shown that the presented model can calculate the optimum tilt angles with acceptable accuracy in the southern and northern hemispheres.

本文旨在求得全球范围内年、季、月、日最佳倾角的总体方程。因此，对北半球 337 个位置和南半球 247 个位置的每日最佳倾角变化进行了检查，结果表明，每日最佳倾角在一年内呈余弦形式变化。然后，使用余弦函数估计每日最佳倾斜角。每日最佳倾斜角与经度无关，可以使用依赖于纬度和天数的函数进行估算。生成的模型可用于计算所需间隔内的最佳倾斜角。为了验证结果的有效性，将所提模型的结果与其他论文的结果进行了比较。