A
single diode model for a photovoltaic solar module is the most ideal and quick
way of analyzing the module characteristics before implementing them in a solar
plant. Solar modules manufacturers provide information for three critical
points that are essential in I-V, P-V or P-I curves. In this study, we propose
four separate simulation procedures to estimate the five-model parameters of an
analogous single diode equivalent circuit by utilizing three cardinal points of
the photovoltaic module I-V curve, described from experimental data using a
solar simulator and manufacturer’s datasheet. The main objective is to extract
and use the five unknown parameters of a single diode model to describe the
photovoltaic system using I-V ad P-V plots under different environmental
conditions. The most influential parameters that greatly alter the cardinal
points defined at short circuit point (SCP), the maximum power point (MPP) and
the open circuit point(OCP) are the ideality factor (n) and the diode saturation current (Io). For a quick and fast convergence, we
have determined the optimal ideality factor (no) and optimal saturation current (Ioopt) as the
primary parameters by first assuming the optimal values of Rsh, Rsand Iphat
standard test conditions (STC). Further, we evaluated the effects of Iph, Rsand Rshon I-V and
P-V curves by considering the values of n below n
References
[1]
Bòrawski, P., Yashchenko, T., Sviderskyi, A. and Dunn, J.W. (2019) Development of Renewable Energy Market in the EU with Particular Regard to Solar Energy. Conference Proceedings Determinants of Regional Development, Pila, 12-13 April 2018, 43-55.
[2]
Albini, A. and Rajnai, Z. (2019) Modeling General Energy Balance of Systems. Procedia Manufacturing, 32, 374-379. https://doi.org/10.1016/j.promfg.2019.02.228
[3]
Kabir, E., Kumar, P., Kumar, S., Adelodun, A.A. and Kim, K.H. (2018) Solar Energy: Potential and Future Prospects. Renewable and Sustainable Energy Reviews, 82, 894-900. https://doi.org/10.1016/j.rser.2017.09.094
[4]
Kannan, N. and Vakeesan, D. (2016) Solar Energy for Future World: A Review. Renewable and Sustainable Energy Reviews, 62, 1092-1105. https://doi.org/10.1016/j.rser.2016.05.022
[5]
Ishaque, K. and Salam, Z. (2013) A Review of Maximum Power Point Tracking Techniques of PV System for Uniform Insolation and Partial Shading Condition. Renewable and Sustainable Energy Reviews, 19, 475-488. https://doi.org/10.1016/j.rser.2012.11.032
[6]
Salas, V., Olias, E., Barrado, A. and Lazaro, A. (2006) Review of the Maximum Power Point Tracking Algorithms for Stand-Alone Photovoltaic Systems. Solar Energy Materials and Solar Cells, 90, 1555-1578. https://doi.org/10.1016/j.solmat.2005.10.023
[7]
Belhachat, F. and Larbes, C. (2018) A Review of Global Maximum Power Point Tracking Techniques of Photovoltaic System under Partial Shading Conditions. Renewable and Sustainable Energy Reviews, 92, 513-553. https://doi.org/10.1016/j.rser.2018.04.094
[8]
Nadia, A.R., Isa, N.A.M. and Desa, M.K.M. (2018) Advances in Solar Photovoltaic Tracking Systems: A Review. Renewable and Sustainable Energy Reviews, 82, 2548-2569. https://doi.org/10.1016/j.rser.2017.09.077
[9]
Hafez, A.Z., Yousef, A.M. and Harag, N.M. (2018) Solar Tracking Systems: Technologies and Trackers Drive Types: A Review. Renewable and Sustainable Energy Reviews, 91, 754-782. https://doi.org/10.1016/j.rser.2018.03.094
[10]
Jiang, L.L., Srivatsan, R. and Maskell, D.L. (2018) Computational Intelligence Techniques for Maximum Power Point Tracking in PV Systems: A Review. Renewable and Sustainable Energy Reviews, 85, 14-45. https://doi.org/10.1016/j.rser.2018.01.006
[11]
Boukebbous, S.E. and Kerdoun, D. (2015) Study, Modeling and Simulation of Photovoltaic Panels under Uniform and Non-Uniform Illumination Conditions. Revue des Energies Renouvelables, 18, 257-268.
[12]
Kennerud, K.L. (1969) Analysis of Performance Degradation in CdS Solar Cells. IEEE Transactions on Aerospace and Electronic Systems, 6, 912-917. https://doi.org/10.1109/TAES.1969.309966
[13]
Otterbein, R.T., Evans, D.L. and Facinelli, W.A. (1978) A Modified Single Diode Model for High Illumination Solar Cells for Simulation Work. 13th Photovoltaic Specialists Conference, Washington DC, 5-8 June 1978, 1074-1079.
[14]
Charles, J.P., Abdelkrim, M., Muoy, Y.H. and Mialhe, P. (1981) A Practical Method of Analysis of the Current-Voltage Characteristics of Solar Cells. Solar Cells, 4, 169-178. https://doi.org/10.1016/0379-6787(81)90067-3
[15]
Diantoro, M., Suprayogi, T., Hidayat, A., Taufiq, A., Fuad, A. and Suryana, R. (2018) Shockley’s Equation Fit Analyses for Solar Cell Parameters from I-V Curves. International Journal of Photoenergy, 2018, Article ID: 9214820. https://doi.org/10.1155/2018/9214820
[16]
Saha, C., Agbu, N., Jinks, R. and Huda, M.N. (2018) Review Article of the Solar PV Parameters Estimation Using Evolutionary Algorithms. MOJ Solar and Photoenergy Systems, 2, 66-78.
[17]
Hachana, O., Hemsas, K.E., Tina, G.M. and Ventura, C. (2013) Comparison of Different Metaheuristic Algorithms for Parameter Identification of Photovoltaic Cell/Module. Journal of Renewable and Sustainable Energy, 5, Article ID: 053122. https://doi.org/10.1063/1.4822054
[18]
Tamrakar, R. and Gupta, A. (2015) A Review: Extraction of Solar Cell Modelling Parameters. International Journal of Innovative Research in Electrical, Electronics, Instrumentation and Control Engineering, 3, 55-60. https://doi.org/10.17148/IJIREEICE.2015.3111
[19]
Franco, R.A.P. and Vieira, F.H.T. (2018) Analytical Method for Extraction of the Single-Diode Model Parameters for Photovoltaic Panels from Datasheet Data. Electronics Letters, 54, 519-521. https://doi.org/10.1049/el.2018.0402
[20]
Abbassi, R., Abbassi, A., Jemli, M. and Chebbi, S. (2018) Identification of Unknown Parameters of Solar Cell Models: A Comprehensive Overview of Available Approaches. Renewable and Sustainable Energy Reviews, 90, 453-474. https://doi.org/10.1016/j.rser.2018.03.011
[21]
Ghani, F., Duke, M. and Carson, J. (2013) Numerical Calculation of Series and Shunt Resistances and Diode Quality Factor of a Photovoltaic Cell Using the Lambert W-Function. Solar Energy, 91, 422-431. https://doi.org/10.1016/j.solener.2012.09.005
[22]
Batzelis, E.I. and Papathanassiou, S.A. (2015) A Method for the Analytical Extraction of the Single-Diode PV Model Parameters. IEEE Transactions on Sustainable Energy, 7, 504-512. https://doi.org/10.1109/TSTE.2015.2503435
[23]
Ibrahim, H. and Anani, N. (2017) Evaluation of Analytical Methods for Parameter Extraction of PV Modules. Energy Procedia, 134, 69-78. https://doi.org/10.1016/j.egypro.2017.09.601
[24]
Mohapatra, A., Nayak, B. and Mohanty, K.B. (2017) Parameter Extraction of PV Module Using NLS Algorithm with Experimental Validation. International Journal of Electrical and Computer Engineering, 7, 2392. https://doi.org/10.11591/ijece.v7i5.pp2392-2400
[25]
Mahmoud, Y.A., Xiao, W. and Zeineldin, H.H. (2012) A Parameterization Approach for Enhancing PV Model Accuracy. IEEE Transactions on Industrial Electronics, 60, 5708-5716. https://doi.org/10.1109/TIE.2012.2230606
[26]
Huang, P.H. and Xiao, W., Peng, J.C.H. and Kirtley, J.L. (2015) Comprehensive Parameterization of Solar Cell: Improved Accuracy with Simulation Efficiency. IEEE Transactions on Industrial Electronics, 63, 1549-1560. https://doi.org/10.1109/TIE.2015.2498139
[27]
Sera, D., Teodorescu, R. and Rodriguez, P. (2007) PV Panel Model Based on Datasheet Values. 2007 IEEE International Symposium on Industrial Electronics, 4-7 June 2007, 2392-2396. https://doi.org/10.1109/ISIE.2007.4374981
[28]
Yahfdhou, A., Mahmoud, A.K. and Youm, I. (2016) Evaluation and Determination of Seven and Five Parameters of a Photovoltaic Generator by an Iterative Method.
[29]
Banwell, T.C. and Jayakumar, A. (2000) Exact Analytical Solution for Current Flow through Diode with Series Resistance. Electronics Letters, 36, 291-292. https://doi.org/10.1049/el:20000301
[30]
Li, Y., Huang, W., Huang, H., Hewitt, C., Chen, Y., Fang, G. and Carroll, D.L. (2013) Evaluation of Methods to Extract Parameters from Current-Voltage Characteristics of Solar Cells. Solar Energy, 90, 51-57. https://doi.org/10.1016/j.solener.2012.12.005
[31]
Zhang, Z.Z., Cheng, X.F. and Liu, J.L. (2013) An Improvement Method for Extracting Five Parameters of a Solar Cell Based on Lambert W-Function with the Current-Voltage Data. In Applied Mechanics and Materials, 291, 38-42. https://doi.org/10.4028/www.scientific.net/AMM.291-294.38
[32]
Cubas, J., Pindado, S. and De Manuel, C. (2014) Explicit Expressions for Solar Panel Equivalent Circuit Parameters Based on Analytical Formulation and the Lambert W-Function. Energies, 7, 4098-4115. https://doi.org/10.3390/en7074098
[33]
Nassar-Eddine, I., Obbadi, A., Errami, Y. and Agunaou, M. (2016) Parameter Estimation of Photovoltaic Modules Using Iterative Method and the Lambert W Function: A Comparative Study. Energy Conversion and Management, 119, 37-48. https://doi.org/10.1016/j.enconman.2016.04.030
[34]
Park, J.Y. and Choi, S.J. (2015) A Novel Datasheet-Based Parameter Extraction Method for a Single-Diode Photovoltaic Array Model. Solar Energy, 122, 1235-1244. https://doi.org/10.1016/j.solener.2015.11.001
[35]
Bonkoungou, D., Koalaga, Z., Njomo, D. and Zougmore, F. (2015) An Improved Numerical Approach for Photovoltaic Module Parameters Acquisition Based on Single-Diode Model. International Journal of Current Engineering and Technology, 5, 3735-3742.
[36]
Ayodele, T.R., Ogunjuyigbe, A.S.O. and Ekoh, E.E. (2016) Evaluation of Numerical Algorithms Used in Extracting the Parameters of a Single-Diode Photovoltaic Model. Sustainable Energy Technologies and Assessments, 13, 51-59. https://doi.org/10.1016/j.seta.2015.11.003
[37]
Shockley, W. (1949) The Theory of p-n Junctions in Semiconductors and p-n Junction Transistors. Bell System Technical Journal, 28, 435-489. https://doi.org/10.1002/j.1538-7305.1949.tb03645.x
[38]
Zaimi, M., El Achouby, H., Ibral, A. and Assaid, E.M. (2019) Determining Combined Effects of Solar Radiation and Panel Junction Temperature on All Model-Parameters to Forecast Peak Power and Photovoltaic Yield of Solar Panel under Non-Standard Conditions. Solar Energy, 191, 341-359. https://doi.org/10.1016/j.solener.2019.09.007
[39]
Shen, W., Ding, Y., Choo, F.H., Wang, P., Loh, P.C. and Tan, K.K. (2009) Mathematical Model of a Solar Module for Energy Yield Simulation in Photovoltaic Systems. 2009 International Conference on Power Electronics and Drive Systems, Taipei, 2-5 November 2009, 336-341. https://doi.org/10.1109/PEDS.2009.5385657
[40]
Hejri, M., Mokhtari, H., Azizian, M.R. and Söder, L. (2016) An Analytical-Numerical Approach for Parameter Determination of a Five-Parameter Single-Diode Model of Photovoltaic Cells and Modules. International Journal of Sustainable Energy, 35, 396-410. https://doi.org/10.1080/14786451.2013.863886
[41]
Atay, B.K. and Eminoğlu, U. (2019) A New Approach for Parameter Estimation of the Single-Diode Model for Photovoltaic Cells/Modules. Turkish Journal of Electrical Engineering & Computer Sciences, 27, 3026-3039. https://doi.org/10.3906/elk-1805-161
[42]
Rauschenbusch, H.S. (1971) Electrical Output of Shadowed Solar Arrays. IEEE Transactions on Electron Devices, 18, 483-490. https://doi.org/10.1109/T-ED.1971.17231
[43]
Castaner, L. and Silvestre, S. (2002) Modelling Photovoltaic Systems Using PSpice. John Wiley and Sons, Hoboken. https://doi.org/10.1002/0470855541
[44]
Neville, R.C. (1995) Solar Energy Conversion: The Solar Cell. Elsevier, Amsterdam.
[45]
Sze, S.M. and Ng, K.K. (2006) Physics of Semiconductor Devices. John Wiley and sons, Hoboken. https://doi.org/10.1002/0470068329
[46]
Ataboev, O.K., Kabulov, R.R., Matchanov, N.A. and Egamov, S.R. (2019) Influence of Temperature on the Output Parameters of a Photovoltaic Module Based on Amorphous Hydrogenated Silicon. Applied Solar Energy, 55, 159-167. https://doi.org/10.3103/S0003701X19030022
[47]
Chenni, R., Makhlouf, M., Kerbache, T. and Bouzid, A. (2007) A Detailed Modeling Method for Photovoltaic Cells. Energy, 32, 1724-1730. https://doi.org/10.1016/j.energy.2006.12.006
[48]
Ndegwa, R., Simiyu, J., Ayieta, E. and Odero, N. (2020) A Fast and Accurate Analytical Method for Parameter Determination of a Photovoltaic System Based on Manufacturer’s Data. Journal of Renewable Energy, 2020, Article ID: 7580279. https://doi.org/10.1155/2020/7580279
[49]
Phang, J.C.H., Chan, D.S.H. and Phillips, J.R. (1984) Accurate Analytical Method for the Extraction of Solar Cell Model Parameters. Electronics Letters, 20, 406-408. https://doi.org/10.1049/el:19840281
[50]
Cubas, J., Pindado, S. and Farrahi, A. (2013) New Method for Analytical Photovoltaic Parameter Extraction. 2013 International Conference on Renewable Energy Research and Applications, Madrid, 20-23 October 2013, 873-877. https://doi.org/10.1109/ICRERA.2013.6749874
[51]
El Achouby, H., Zaimi, M., Ibral, A. and Assaid, E.M. (2018) New Analytical Approach for Modelling Effects of Temperature and Irradiance on Physical Parameters of Photovoltaic Solar Module. Energy Conversion and Management, 177, 258-271. https://doi.org/10.1016/j.enconman.2018.09.054
[52]
Villalva, M.G., Gazoli, J.R. and Ruppert Filho, E. (2009) Comprehensive Approach to Modeling and Simulation of Photovoltaic Arrays. IEEE Transactions on Power Electronics, 24, 1198-1208. https://doi.org/10.1109/TPEL.2009.2013862
[53]
Carrero, C., Rodriguez, J., Ramírez, D. and Platero, C. (2010) Simple Estimation of PV Modules Loss Resistances for Low Error Modelling. Renewable Energy, 35, 1103-1108. https://doi.org/10.1016/j.renene.2009.10.025
[54]
Reis, L.R.D., Camacho, J.R. and Novacki, D.F. (2017) The Newton Raphson Method in the Extraction of Parameters of PV Modules. Proceedings of the International Conference on Renewable Energies and Power Quality, Malaga, 4-6 April 2017, 634-639.
[55]
Markvart, T., McEvoy, A. and Castaner, L. (2003) Practical Handbook of Photovoltaic: Fundamentals and Applications. Elsevier, Amsterdam.
[56]
Schwingshackl, C., Petitta, M., Wagner, J.E., Belluardo, G., Moser, D., Castelli, M., Zebisch, M. and Tetzlaff, A. (2013) Wind Effect on PV Module Temperature: Analysis of Different Techniques for an Accurate Estimation. Energy Procedia, 40, 77-86. https://doi.org/10.1016/j.egypro.2013.08.010