Extracting electrical parameters of solar cells using Lambert function
 
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1
Department of Sciences and Technology, Faulty of Sciences and Technology, University of Tamanrasset, Algeria
 
2
Energy and Materials Laboratory, University of Tamanghasset, Algeria.
 
3
Applied Automation and Industrial Diagnostics Laboratory, Faculty of Science and Technology, University of Djelfa 17000 DZ, Algeria
 
4
laboratory Smart Grid and Renewable Energy SGRE University Tahri Mohamed Bechar Algeria
 
5
Faculty of Sciences and Technology, University of Ahmed Draia, Adrar, Algeria
 
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Department of Energy Technology, DDI Laboratory, Ahmed Draia University, 01000Adrar, Algeria
 
 
Submission date: 2024-01-25
 
 
Final revision date: 2024-05-08
 
 
Acceptance date: 2024-05-09
 
 
Online publication date: 2024-05-28
 
 
Publication date: 2024-05-28
 
 
Corresponding author
Mohammed Bouzidi   

Department of Sciences and Technology, Faulty of Sciences and Technology, University of Tamanrasset, Algeria
 
 
Diagnostyka 2024;25(2):2024214
 
KEYWORDS
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ABSTRACT
Photovoltaic cells are intricate systems that transform solar energy into electrical power. Certain internal parameters, such as diode saturation current, conversion resistance, and series resistance, significantly influence the performance of electrical components. Frequently, manufacturers do not provide these parameters. At the moment, researchers need new and clear ways to measure these factors so they can get a better idea of how solar cells work and improve efficiency through simulations. We present a novel approach to accurately determining the five parameters (series resistance, shunt resistance, photovoltaic cell current, and diode saturation current) for multi-crystalline silicon solar cell models. This approach employs the Lambert function and the curve of parasitic resistance. By utilizing the extracted internal electrical parameters, this method will enhance the efficiency of solar cells through the facilitation of more accurate simulations.
FUNDING
This research received no external funding.
 
REFERENCES (27)
1.
Rabczak S, Proszak-Miąsik D. Analysis of Energy Yields from Selected Types of Photovoltaic Panels. Journal of Ecological Engineering 2020; 21(1): 20–8. https://doi.org/10.12911/22998....
 
2.
Pena-Bello A, Junod R, Ballif C, Wyrsch N. Balancing DSO interests and PV system economics with alternative tariffs. Energy Policy 2023; 183: 113828. https://doi.org/10.1016/j.enpo....
 
3.
Dunne NA, Liu P, Elbarghthi AFA, Yang Y, Dvorak V, Wen C. Performance evaluation of a solar photovoltaic-thermal (PV/T) air collector system. Energy Conversion and Management: X 2023; 20: 100466. https://doi.org/10.1016/j.ecmx....
 
4.
Amer A, Attar H, As’ad S, Alsaqoor S, Colak I, Alahmer A, et al. Floating Photovoltaics: Assessing the Potential, Advantages, and Challenges of Harnessing Solar Energy on Water Bodies. Journal of Ecological Engineering 2023; 24(10): 324–39. https://doi.org/10.12911/22998....
 
5.
Rawa M, Calasan M, Abusorrah A, Alhussainy AA, Al-Turki Y, Ali ZM, et al. Single Diode Solar Cells—Improved Model and Exact Current–Voltage Analytical Solution Based on Lambert’s W Function. Sensors 2022;22(11):4173. https://doi.org/10.3390/s22114....
 
6.
Huang PH, Xiao W, Peng JCH, Kirtley JL. Comprehensive Parameterization of Solar Cell: Improved Accuracy With Simulation Efficiency. IEEE Transactions on Industrial Electronics 2016; 63(3): 1549–1560. https://doi.org/10.1109/tie.20....
 
7.
Aichouba MEA, Rahli M. Solar cell parameters extraction optimization using Lambert function. Przegląd Elektrotechniczny 2019; 95(4). https://doi.org/10.15199/48.20....
 
8.
Bouzidi M, Harrouz A, Mohammed T, Mansouri S. Short and open circuit faults study in the PV system inverter. International Journal of Power Electronics and Drive Systems (IJPEDS) 2021; 12(3): 1764–71. https://doi.org/10.11591/ijped....
 
9.
Szabo R, Gontean A. Photovoltaic Cell and Module I-V Characteristic Approximation Using Bézier Curves. Applied Sciences 2018; 8(5): 655. https://doi.org/10.3390/app805....
 
10.
Ćalasan M, Abdel Aleem SHE, Zobaa AF. A new approach for parameters estimation of double and triple diode models of photovoltaic cells based on iterative Lambert W function. Solar Energy 2021; 218: 392–412. https://doi.org/10.1016/j.sole....
 
11.
Zhang Z, Ma M, Wang H, Wang H, Ma W, Zhang X. A fault diagnosis method for photovoltaic module current mismatch based on numerical analysis and statistics. Solar Energy 2021; 225: 221–36. https://doi.org/10.1016/j.sole....
 
12.
Lee WC, Hwang DH. Improved SSJ-MPPT method for maximum power point tracking of photovoltaic inverter under partial shadow condition. Journal of Electrical Engineering & Technology 2019;14(1): 301–309. https://doi.org/10.1007/s42835....
 
13.
Rashad M, Żabnieńska-Góra A, Norman L, Jouhara H. Analysis of energy demand in a residential building using TRNSYS. Energy 2022; 254: 124357. https://doi.org/10.1016/j.ener....
 
14.
Mansoor M, Mirza AF, Ling Q. Harris hawk optimization-based MPPT control for PV systems under partial shading conditions. Journal of Cleaner Production 2020; 274: 122857. https://doi.org/10.1016/j.jcle....
 
15.
Chaibi Y, Malvoni M, Chouder A, Boussetta M, Salhi M. Simple and efficient approach to detect and diagnose electrical faults and partial shading in photovoltaic systems. Energy Conversion and Management 2019; 196: 330–43. https://doi.org/10.1016/j.enco....
 
16.
Park JY, Choi SJ. A novel simulation model for PV panels based on datasheet parameter tuning. Solar Energy 2017;145: 90–8. https://doi.org/10.1016/j.sole....
 
17.
Rasool F, Drieberg M, Badruddin N, Mahinder Singh BS. PV panel modeling with improved parameter extraction technique. Solar Energy 2017; 153: 519–30. https://doi.org/10.1016/j.sole....
 
18.
Sera D, Teodorescu R, Rodriguez P. PV panel model based on datasheet values. 2007 IEEE International Symposium on Industrial Electronics 2007 p. 2392–6. https://doi.org/10.1109/ISIE.2....
 
19.
Calasan M, Nedic A. experimental testing and analytical solution by means of Lambert W-function of inductor air gap length. Electric Power Components and Systems 2018; 46(7): 852–862. https://doi.org/10.1080/153250... .
 
20.
Ćalasan M, Abdel Aleem SHE, Zobaa AF. On the root mean square error (RMSE) calculation for parameter estimation of photovoltaic models: A novel exact analytical solution based on Lambert W function. Energy Conversion and Management 2020; 210: 112716. https://doi.org/10.1016/j.enco....
 
21.
Mainardi F, Masina E, González-Santander JL. A Note on the Lambert W Function: Bernstein and stieltjes properties for a creep model in linear viscoelasticity. Symmetry 2023; 15(9): 1654. https://doi.org/10.3390/sym150....
 
22.
Wang J, Moniz NJ. Analysis of thermodynamic problems with the Lambert W function. American Journal of Physics 2019; 87(9): 752–7. https://doi.org/10.1119/1.5115....
 
23.
Tayyan A. An approach to extract the parameters of solar cells from their illuminated I-V curves using the Lambert W function. Turkish Journal of Physics 2015; 39(1): 1–15.
 
24.
Veberič D. Lambert W function for applications in physics. Computer Physics Communications 2012; 183(12): 2622–8. https://doi.org/10.1016/j.cpc.....
 
25.
Gaete MB, Gomez S, Hassaine M. Black holes with Lambert W function horizons. The European Physical Journal C 2019; 79(3): 200. https://doi.org/10.1140/epjc/s....
 
26.
Racewicz S, Chrzan PJ, Riu DM, Retière NM. Time domain simulations of synchronous generator modelled by half-order system, IECON 2012, 2012:25-28. https://ieeexplore.ieee.org/do....
 
27.
Rawa M, Al-Turki Y, Sindi H, Ćalasan M, Ali ZM, Abdel Aleem SHE. Current-voltage curves of planar heterojunction perovskite solar cells – Novel expressions based on Lambert W function and Special Trans Function Theory. Journal of Advanced Research 2023; 44: 91–108. https://doi.org/10.1016/j.jare....
 
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