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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Main Authors: Lorentz Jäntschi, Mohamed Louzazni
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Mathematical and Computational Applications
Subjects:
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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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