Solar panels’ energy efficiency optimisation using mathematical methods with computerisation of calculations

Solar energy development in Ukraine is reaching peak values and will increase in the coming decades. For this reason, it is important to use various methods of optimising panel’s operation to increase their energy efficiency. Given the fact that the angle of the sun’s rays incidence has the greatest influence on the efficiency of photovoltaic cells on the working surface, it is important to find the stationary (non-rotating) system’s optimal angle of inclination and forecast the generated power. The purpose of the work was to determine the dependency between the power generated by the photovoltaic element and the angle of the sun’s rays incidence and to develop a universal document that would allow automatic calculation of the optimal solar panels’ inclination angle relative to the horizon and the maximum daily generated power. Calculations were performed analytically using functions and digital tools of mathematical software, elements of the mathematical theory of optimisation. As a result of the study, a digital file was created that automatically calculates the optimal solar panel inclination angle and the maximum generated power depending on the change in this angle. An algorithm was developed that allows to automate calculations based on the mathematical theory of optimisation and the means of specialised mathematical software. The research work carried out will allow to increase the solar modules efficiency in the simplest way without material costs for additional equipment and time costs for mathematical calculations of the technical parameters of the system. Implementation of research results in practice will increase the profitability of solar panels