Solar cells are characterized by internal electrical parameters not displayed by the manufacturer. Their identification is necessary because it allows the photovoltaic system simulation and optimization. Currently, the new and simple extraction methods development is a challenge for researchers. In this work, a new approach is presented for exact determination the single-diode model multi-crystalline silicon cell five parameters. Our method consists in calculating the parameters from the ideality factor estimation using the Lambert function and the parasitic resistances curve (series and shunt). Absolute and relative errors are also calculated to show the proposed method importance over another method
Słowa kluczowe: Parameter extraction, solar cell models, Lambert function, the ideality factor
W artykule zaprezentowano mtodę opisu matematycznego obwodu fotowoltaicznego. Metoda polega na opisie parametrów z wykorzystaniem funkcji Lamberta. . Określono błąd przybliżenia tego modelu matematycznego.
Keywords: ogniowo fotowoltaiczne, funkcja Lamberta
Solar is an emerging sustainable technology with immense potential to contribute largest investment in Green technology applications. The photovoltaic solar energy is one of the most used and promising resources in the renewable energy domain. The photovoltaic energy conversion is performed by cells based on semiconductors such as silicon, which exploits the photovoltaic effect. The these cells operation cells is described generally by the I-V characteristic which provides the information on the intern electric transport mechanisms and the technological steps imperfections of their fabrications [1-3]. The photovoltaic (PV) systems modeling has been the subject studies many recent, especially with the extension of use PV systems in different applications. The single-diode model cell solar was first used by Shockley in 1949 [4, 5] and has since been used in many other research and applications. This equivalent circuit model is based on five main parameters to be determined. The these parameters precise determination remains a challenge for the researchers, in fact, this determination is essential for the simulation, the quality control and the photovoltaic devices implementation answering to welldefined specifications . These parameters also play an important role in the manufacturing processes optimization .The current in the Shockley equation is an implicit function; it includes dependent and independent variables at the same time. Implicit nature presents opposites to extract these parameters. An explicit analytic expression can be obtained using Lambert W [8-16]. In order to overcome these constraints that prevent the electrical parameters extraction, a new method is presented in this work. In its first part, the parameters are calculated using the Lambert function for different estimated values of the ideality factor in the interval [1-1.5], while the second part consists in determining graphically the best estima [...]
 C. Sharma, and A. Jain; "Distributed MPP Tracking of PV through buck converter using fuzzy";Telkomnika Indonesian Journal of Electrical Engineering, DOI: 10.11591/telkomnika.v15i2.8258, Vol. 15, No. 2,pp 197-208. (2015)  K. Yamaguchi and H. Kodera, "Optimum Design of Triode-Like JFET’s by Two-Dimensional Computer Simulation", IEEE Transaction on Electron Devices, DOI:10.1109/TED. 1977.18877, Vol. 24, Issue: 8, August 1977, pp. 1061-1069. PRZEGLĄD ELEKTROTECHNICZNY, ISSN 0033-2097, R. 95 NR 4/2019 231  E. Chahid, M. I. Oumhand, M. Feddaoui, M. Erritali, and A. Malaoui, "Effect of Measurement Factors on Photovoltaic Cell Parameters Extracting", International Journal of Electrical and Computer Engineering (IJECE), DOI: 10.11591/ijece.v7i1, Vol. 7, No. 1, February 2017, pp. 50-57.  W. Shockley, "The theory of p-n junctions in semiconductors and p-n junction transistors", Bell System Technical Journal, Vol. 28, No. 3, July 1949, pp 435-489.  M. Rhouma, A. Gastli, L. Ben Brahim, F. Touati, and M. Benammar, "A simple method for extracting the parameters of the PV cell single-diode model", Renewable Energy, DOI:10.1016/j.renene.2017.06.064, Vol. 113, December 2017, pp 885-894.  A. Malaoui, "New method for improving the quality of electrical measurements: application to the extraction of the intrinsic parameters of the photo voltaic cells", International Journal of Innovation and Applied Studies, Vol. 15, No. 2, pp 375-386, April 2016.  N. S. Singh, A. Jain, and A. Kapoor, "An Exact Analytical Method for Calculating the Parameters of a Real Solar Cell Using Special Trans Function Theory (STFT) ", International Journal of Renewable Energy Research, Vol.3, No.1, pp 201- 206, January 2013.  A. Jain, and A. Kapoor, "A new approach to study organic solar cell using Lambert W-function", Solar Energy Materials & Solar Cells, DOI:10.1016/j.solmat.2004.07.004, Vol. 86, March 2005, pp 197-205. (Article)  A. Ortiz-Conde, and F. J. Garcia Sanchez, "Extraction of nonideal junction model parameters from the explicit analytic solutions of its I-V characteristics", Journal Solid-State Electronics, DOI:10.1016/j.sse.2004.12.001, Vol. 49, March 2005, pp 465-472.  J. Ding, and R. Radhakrishnan, "A new method to determine the optimum load of a real solar cell using the Lambert Wfunction", Solar Energy Materials and Solar Cells, DOI: 10.1016/j.solmat.2008.07.004, Vol. 92, December 2008, pp 1566-1569.  A. Ortiz-Conde, F. J. Garcia Sanchez, and J. Muci, "New method to extract the model parameters of solar cells from the explicit analytic solutions of their illuminated I-V characteristics", Solar Energy Materials and Solar Cells, DOI: 10.1016/j.solmat.2005.04.023, Vol. 90, February 2006, pp 352- 361.  C. Zhang, J. Zhang, Y. Hao, Z. Lin, and C. Zhu, "A simple and efficient solar cell parameter extraction method from a single current-voltage curve", Journal of Applied Physics, DOI: 10.1063/1.3632971, Vol. 110, September 2011, pp. 064504.  S. Aazou, and E.M. Assaid, "Model physical parameters effects on real solar cell characteristics and power curve", Global Journal of Physical Chemistry,Vol. 2,pp. 61-67, 2011.  F. Ghani, and M. Duke, "Numerical determination of parasitic resistances of a solar cell using the Lambert W-function", Solar Energy, DOI: 10.1016/j.solener.2011.07.001, Vol. 85, September 2011, pp. 2386-2394.  F. Ghani, M. Duke, and J. Carson, "Numerical calculation of series and shunt resistances and diode quality factor of a photovoltaic cell using the Lambert W-function", Solar Energy, DOI: 10.1016/j.solener.2012.09.005, Vol. 91, May 2013,pp. 422-431.  A. A. El tayyan, "An approach to extract the parameters of solar cells from their illuminated I-V curves using the Lambert Wfunction", Turkish Journal of Physics, DOI: 10.3906/fiz-1309-7, Vol. 91, January 2015, pp. 1-15.  W. G. Pfann, and W. Roosbroeck, "Radioactive and Photoelectric pn Junction Power Sources", Journal of AppliedPhysics, DOI: 10.3906/fiz-1309-7, Vol. 25, 1954, pp. 1422.  M. B. Prince, "Silicon solar energy converters", Journal of Applied Physics, DOI: 10.1063/1.1722034, Vol. 26, 1955, pp. 534.  M. Wolf, and H. Rauschenbach, "Series resistance effects on solar cell measurements", Advanced Energy Conversion, DOI: 10.1016/0365-1789(63)90063-8, Vol. 3, 1963, pp. 455-479.  E. E. Van Dyk, and E. L. Meyer, "Analysis of the effect of parasitic resistances on the performance of photovoltaic modules", Renewable Energy, DOI: 10.1016/S0960- 1481(03)00250-7, Vol. 29, 2004, pp. 333-334.  Yi-hung Lin, Raymond A. Adomaitis, “A global basis function approach to DC glow discharge simulation", Physics letters, A 243 (1998), 142-150  K. L. Kennerud, "Analysis of performance degradation in CdS solar cells", IEEE Transactions onAerospace and Electronic Systems, DOI: 10.1109/TAES.1969.309966, Vol. AES-5, 1969,pp. 912-917.  W. Xiao, W.G. Dunford, and A. Capel, "A Novel Modeling Method for Photovoltaic Cells", IEEE 35th Annual Power Electronics Specialists Conference, Aachen, Vol. 3, pp. 1950- 1956, 20-25 June 2004.  D. Sera, R. Teodorescu, and P. Rodriguez, "PV panel model based on datasheet values", IEEE International Symposium on Industrial Electronics, DOI: 10.1109/ISIE.2007.4374981,Vigo (Spain), pp. 2392-2396, 4-7 June 2007.  J. Cubas, S. Pindado, and C. Manuel, "Explicit Expressions for Solar Panel Equivalent Circuit Parameters Based on Analytical Formulation and the Lambert W-Function", Energies, DOI: 10.3390/en7074098, Vol. 7, June 2014,pp. 4098-4115.  C. Carrero, D. Ramirez, J. Rodriguez, and C.A. Platero, "Accurate and fast convergence method for parameter estimation of PV generators based on three main points of the I-V curve", Renewable Energy, DOI: 10.1016/j.renene.2011.04.001, Vol. 36, N° 11,November 2011,pp. 2972-2977.  M. G. Villalva, J. R. Gazoli, and E. R. Filho, "Comprehensive Approach to Modeling and Simulation of PV Arrays", IEEE Power Electronics, DOI:10.1109/TPEL.2009.2013862, Vol. 24, No. 5, May 2009, pp. 1198-1208.  P. Huang, W. Xiao, J. Peng, and J. Kirtley, "Comprehensive Parameterization of Solar Cell: Improved Accuracy with Simulation Efficiency", IEEE Transactions on IndustrialElectronics, DOI: 10.1109/TIE.2015.2498139, Vol. 63, No. 3,2016,pp. 1549-1560.