Accelerating Convergence for the Parameters of PV Cell Models
Small-scale photovoltaic (PV) systems are essential for the local energy supply. The most commonly known PV cell is configured as a large-area p–n junction made from silicon, but PV systems today include PV cells of various manufactures and origins. The dependence relationship between current and vo...
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MDPI AG
2024-01-01
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Series: | Mathematical and Computational Applications |
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Online Access: | https://www.mdpi.com/2297-8747/29/1/4 |
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author | Lorentz Jäntschi Mohamed Louzazni |
author_facet | Lorentz Jäntschi Mohamed Louzazni |
author_sort | Lorentz Jäntschi |
collection | DOAJ |
description | Small-scale photovoltaic (PV) systems are essential for the local energy supply. The most commonly known PV cell is configured as a large-area p–n junction made from silicon, but PV systems today include PV cells of various manufactures and origins. The dependence relationship between current and voltage is nonlinear, known as the current–voltage characteristic. The values of the characteristic equation’s parameters define the working regime of the PV cell. In the present work, the parameter values are iteratively obtained by nonlinear regression for an explicit model. The acceleration of the convergence of these values is studied for an approximation simplifying the iterative calculation in the case of perpendicular offsets. The new estimations of parameters allow for a much faster estimate of the maximum power point of the PV system. |
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institution | Directory Open Access Journal |
issn | 1300-686X 2297-8747 |
language | English |
last_indexed | 2024-03-07T22:22:56Z |
publishDate | 2024-01-01 |
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spelling | doaj.art-8b66dd0506274c19b98bd1887352e8712024-02-23T15:26:19ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472024-01-01291410.3390/mca29010004Accelerating Convergence for the Parameters of PV Cell ModelsLorentz Jäntschi0Mohamed Louzazni1Laboratory of Electrochemistry for Advanced Materials, Department of Physics and Chemistry, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, RomaniaScience Engineer Laboratory for Energy, National School of Applied Sciences, Chouaib Doukkali University of El Jadida, El Jadida P.O. Box 20, MoroccoSmall-scale photovoltaic (PV) systems are essential for the local energy supply. The most commonly known PV cell is configured as a large-area p–n junction made from silicon, but PV systems today include PV cells of various manufactures and origins. The dependence relationship between current and voltage is nonlinear, known as the current–voltage characteristic. The values of the characteristic equation’s parameters define the working regime of the PV cell. In the present work, the parameter values are iteratively obtained by nonlinear regression for an explicit model. The acceleration of the convergence of these values is studied for an approximation simplifying the iterative calculation in the case of perpendicular offsets. The new estimations of parameters allow for a much faster estimate of the maximum power point of the PV system.https://www.mdpi.com/2297-8747/29/1/4PV cellsparameter estimationnonlinear regressionperpendicular offsetsapproximation |
spellingShingle | Lorentz Jäntschi Mohamed Louzazni Accelerating Convergence for the Parameters of PV Cell Models Mathematical and Computational Applications PV cells parameter estimation nonlinear regression perpendicular offsets approximation |
title | Accelerating Convergence for the Parameters of PV Cell Models |
title_full | Accelerating Convergence for the Parameters of PV Cell Models |
title_fullStr | Accelerating Convergence for the Parameters of PV Cell Models |
title_full_unstemmed | Accelerating Convergence for the Parameters of PV Cell Models |
title_short | Accelerating Convergence for the Parameters of PV Cell Models |
title_sort | accelerating convergence for the parameters of pv cell models |
topic | PV cells parameter estimation nonlinear regression perpendicular offsets approximation |
url | https://www.mdpi.com/2297-8747/29/1/4 |
work_keys_str_mv | AT lorentzjantschi acceleratingconvergencefortheparametersofpvcellmodels AT mohamedlouzazni acceleratingconvergencefortheparametersofpvcellmodels |