High-Performance Numerical MPPT for Sustainable and Economical PV Systems

This study proposes a novel maximum power point tracking (MPPT) algorithm for photovoltaic (PV) systems, employing numerical analysis techniques to enhance energy harvest, reduce environmental impact, and improve economic feasibility. Conventional MPPT methods commonly suffer from limitations when operating under changing dynamic conditions. To address these challenges, this paper proposes a new MPPT algorithm based on the secant numerical method. The proposed method is based on a detailed model to calculate and estimate the maximum power point based on feedback from solar radiation and temperature. The proposed algorithm demonstrates superior performance. It achieves significantly higher energy harvest, faster response times, and greater potential for <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\text{CO}_{2}$</tex> emissions avoidance. Furthermore, it exhibits exceptional stability during rapid irradiance fluctuations compared to conventional techniques, such as Perturb and Observe and Incremental Conductance, as well as the Predict and Correct method. In addition, economic analysis emphasizes the potential for a substantial increase in revenue when the proposed method is used over long periods.