Abstract
The article investigates a qualitative method for estimating the parameters of a photovoltaic
converter in a solar battery using MATLAB/Simulink circuit modeling systems. This method
correlates the power parameters of solar cells with lighting, ambient temperature, and the geometric
dimensions of the area of the receiving surface of the photovoltaic converter. The developed
qualitative method enhances the accuracy and stability of volt-ampere and volt-watt characteristics,
determining the actual output power and efficiency of the photovoltaic converter. Analytical
expressions are obtained for calculating the initial parameters, considering real geometric structural
changes of the surface layer of the photoelectric converter, including macro- and micro-cracks, as
well as local inhomogeneities. These analytical expressions allow to calculate such parameters of
the solar cell as short-circuit current, open-circuit voltage, and maximum power output, accounting
for the size of the receiving surface area of the converter. A computational experiment was
conducted in MATLAB/Simulink circuit modeling systems. It confirmed the influence of the
geometric surface characteristics on the output parameters of the photoelectric converter, utilizing
fractal geometry computation. The results of theoretical studies on the correspondence of the value
of the fractal dimension to a certain value of the area, as well as the power dependence of the
geometric topological surface on the value of the fractal dimension, have been confirmed. A
comparison between the theoretical results and practical experiments showed a discrepancy of up to
5% in obtained data. The algorithm for building a mathematical model of a photovoltaic solar cell
converter in MATLAB/Simulink circuit modeling systems, taking into account the area of the
active sensing surface, was developed and presented. The proposed qualitative evaluation method is
applicable for controlling the input and output parameters of the photovoltaic converter at the stage
of assembly, rejection of solar modules, panels and the whole during the construction of various
options of photovoltaic modules of solar power plants.