"Estimación de parámetros en módulos fotovoltaicos mediante el modelo de tres diodos y el método de optimización hiperbólica sech-tanh”

Abstract

This research optimizes the parameter estimation in photovoltaic cells using the Secant-Hyperbolic Tangent Optimization Algorithm (ASOA, by its acronym in English) considering the three-diode model, which provides a more accurate representation of the electrical behavior of solar cells. The ASOA was compared with the interior-point method of MATLAB; fmincon, evaluating its accuracy, stability, and ability to avoid local minima. The results show that ASOA improves parameter estimation, minimizing the error in the V-I curve and adapting to more complex optimization conditions. Additionally, the impact of the number of iterations on the model’s accuracy was analyzed, identifying an optimal convergence point at 3000 iterations, where a proper balance between accuracy and computational cost was achieved. Beyond this point, the adaptation function improves significantly, making it unnecessary to continue increasing the number of iterations. Thus, the combination of the three-diode model with the ASOA algorithm is established as an efficient and robust tool for the characterization and optimization of photovoltaic cells, supporting the development of more accurate and reliable solar energy systems. Beyond the technical advancements, this work has a significant impact on energy sustainability. Improving the accuracy of photovoltaic models directly contributes to the development of more efficient, cost-effective, and sustainable solar systems, fostering the integration of solar technologies under real operating conditions. This is particularly crucial in the current context, where the transition to cleaner energy sources is a global priority to mitigate climate change and reduce reliance on fossil fuels. The proposed innovative approach also encourages interdisciplinary collaboration among experts in mathematics, engineering, and renewable energy, driving the development of advanced technologies in this field. By addressing technical challenges related to the nonlinearity of the three-diode model and providing practical solutions through ASOA, this work represents not only an academic breakthrough but also holds significant implications for the renewable energy industry. Ultimately, this research contributes to a more sustainable energy future by supporting international sustainability goals and promoting the widespread adoption of clean technologies on a global scale.