Developing a mathematical model to determine the optimal solar collector tilt angle: a case study of the temperate continental climate in the Omsk region

This paper investigates how the tilt angle of solar collectors affects the amount of solar radiation received under moderately continental climate conditions, with a focus on the Omsk region. A Python-based software package has been developed, which utilizes a mathematical model to convert total solar radiation on a horizontal surface into effective energy incident on an inclined plane. The effective energy values derived from the model are then applied to determine the optimal tilt angle that maximizes energy collection while taking into account regional climatic and geographical factors. The study provides a detailed assessment of the optimal tilt angle for the solar collector’s heat-absorbing surface in Omsk, analyzing conditions during both warm and cold periods. Furthermore, a comparative analysis is performed between the cumulative solar radiation obtained using the program-calculated optimal angles and the angles suggested by standard design guidelines. The findings from this research offer critical insights into the technical and economic feasibility of implementing new projects aimed at achieving higher energy efficiency. Overall, the paper presents a comprehensive methodological framework and practical data that could support future developments in solar energy harvesting and energy-efficient design.

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