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Parameter Extraction of Photovoltaic Cells and Panels Using a PID-Based Metaheuristic Algorithm

Aseel Bennagi, Obaida AlHousrya, Daniel Tudor Cotfas, Petru Adrian Cotfas

2025Applied Sciences6 citationsDOIOpen Access PDF

Abstract

In the world of solar technology, precisely extracting photovoltaic cell and panel parameters is key to efficient energy production. This paper presents a new metaheuristic algorithm for extracting parameters from photovoltaic cells using the functionality of the PID-based search algorithm (PSA). The research includes single-diode (SDM) and double-diode (DDM) models applied to RTC France, amorphous silicon (aSi), monocrystalline silicon (mSi), PVM 752 GaAs, and STM6-40 panels. Datasets from multijunction solar cells at three temperatures (41.5 °C, 51.3 °C, and 61.6 °C) were used. PSA performance was assessed using root mean square error (RMSE), mean bias error (MBE), and absolute error (AE). A strategy was introduced by refining PID parameters and relocating error calculations outside the main loop to enhance exploration and exploitation. A Lévy flight-based zero-output mechanism was integrated, enabling shorter extraction times and requiring a smaller population, while enhancing search diversity and mitigating local optima entrapment. PSA was compared against 26 top-performing algorithms. RTC France showed RMSE improvements of 0.67–2.10% in 3.35 s, while for the mSi model, PSA achieved up to 40.9% improvement in 5.57 s and 22.18% for PVM 752 in 8.52 s. PSA’s accuracy and efficiency make it a valuable tool for advancing renewable energy technologies.

Topics & Concepts

MetaheuristicPhotovoltaic systemPID controllerComputer scienceExtraction (chemistry)Mathematical optimizationAlgorithmEngineeringMathematicsControl engineeringChromatographyChemistryElectrical engineeringTemperature controlPhotovoltaic System Optimization TechniquesSolar Thermal and Photovoltaic SystemsSolar Radiation and Photovoltaics