Mathematical Modelling of Solar Photovoltaic Cell/Panel/Array based on the Physical Parameters from the Manufacturer’s Datasheet

*Manoharan Premkumar orcid scopus  -  Department of EEE, GMR Institute of Technology, Rajam, Andhra Pradesh, India
Chandrasekaran Kumar  -  Department of EEE, Bannari Amman Institute of Technology, Sathyamangalam, Tamil Nadu, India
Ravichandran Sowmya  -  Department of EEE, National Institute of Technology, Tiruchirapalli, Tamil Nadu, India
Received: 24 Oct 2019; Revised: 27 Jan 2020; Accepted: 4 Feb 2020; Published: 18 Feb 2020; Available online: 15 Feb 2020.
Open Access Copyright (c) 2020 International Journal of Renewable Energy Development

Citation Format:
Article Info
Section: Original Research Article
Language: EN
Full Text:
In Vol 9, No 1 (2020): February 2020
Statistics: 325 247
Abstract

This paper discusses a modified V-I relationship for the solar photovoltaic (PV) single diode based equivalent model. The model is derived from an equivalent circuit of the PV cell. A PV cell is used to convert the solar incident light to electrical energy. The PV module is derived from the group of series connected PV cells and PV array, or PV string is formed by connecting the group of series and parallel connected PV panels. The model proposed in this paper is applicable for both series and parallel connected PV string/array systems. Initially, the V-I characteristics are derived for a single PV cell, and finally, it is extended to the PV panel and, to string/array. The solar PV cell model is derived based on five parameters model which requires the data’s from the manufacturer’s data sheet. The derived PV model is precisely forecasting the P-V characteristics, V-I characteristics, open circuit voltage, short circuit current and maximum power point (MPP) for the various temperature and solar irradiation conditions. The model in this paper forecasts the required data for both polycrystalline silicon and monocrystalline silicon panels. This PV model is suitable for the PV system of any capacity. The proposed model is simulated using Matlab/Simulink for various PV array configurations, and finally, the derived model is examined in partial shading condition under the various environmental conditions to find the optimal configuration. The PV model proposed in this paper can achieve 99.5% accuracy in producing maximum output power as similar to manufacturers datasheet.©2020. CBIORE-IJRED. All rights reserved

Keywords
Forecasting; I-V characteristics; Maximum power point; Partial shading; PV cell.

Article Metrics:

  1. Ahmadi, MH, Ghazvini, M, Sadeghzadeh, M, Mohammad Alhuyi, N, Ravinder Kumar, K, Abbas, N and Tingzhen, M. (2018) Solar power technology for electricity generation: A critical review. Energy Science & Engineering, 6, 340-361.
  2. Banu, I and Istrate, M. (2012) Modeling and simulation of photovoltaic arrays. In Proc. of the 9th International World Energy System Conference, Romania, 161-166.
  3. Bashahu, M and Nkundabakura, P. (2007) Review and tests of methods for the determination of the solar cell junction ideality factors. Solar Energy, 81, 856-863.
  4. Chan, DSH and Phang, JCH. (1987) Analytical methods for the extraction of solar-cell single-and double-diode model parameters from I-V characteristics. IEEE Transactions on Electron Devices, 34(2), 286-293.
  5. Chenni, R, Makhlouf, M, Kerbache, T and Bouzid, A. (2007) A detailed modeling method for photovoltaic cells. Energy, 32, 1724–1730.
  6. Desoto, W, Beckman, W and Klein, S. (2006)) Improvement and validation of a model for photovoltaic array performance. Solar Energy, 80, 78-88.
  7. Duffie, JA and Beckman, WA. (2006) Solar engineering of thermal processes, John Wiley and Sons, New Jersey.
  8. Gonzalez LFM. (2005) Model of photovoltaic module in Matlab™’, In Proc. of the 2nd Congreso Iberoamericano De Estudiantes De Ingenieria Electrica, Electronica Ycomputacion, Venezuela, 2005, 1-5.
  9. Gow, JA and Manning, CD. (1999) Development of a photovoltaic array model for use in power-electronics simulation studies’, In Proc. of Electric Power Applications. 146(2), 193-200.
  10. Hossein, A, Roghayeh, G, Mohammad, BS, Mohammad, HA, Wei-Mon, Y, Mohammad, AN. (2018) Numerical simulation of PV cooling by using single turn pulsating heat pipe. International Journal of Heat and Mass Transfer, 127, Part A, 203-208.
  11. Jain, A and Kapoor, A. (2004) Exact analytical solutions of the parameters of real solar cells using Lambert w-function. Solar Energy Materials and Solar Cells, 81, 269-277.
  12. Jena, C, Das, A, Panigrahi, CK and Basu, M. (2014) Modelling and simulation of photovoltaic module with buck-boost converter. International Journal of Advanced Engineering and Nano Technology, 1(3), 19-22.
  13. Jiang, Y, Qahouq, JAA and Orabi, M. (2011) Matlab/Pspice hybrid simulation modeling of solar PV cell/module. In Proc. of the 26th Annual IEEE Applied Power Electronics Conference and Exposition, TX, 1244-1250.
  14. Kim, SK, Jeon, JH, Cho, CH, Kim, ES and Ahn, J. (2009) Modeling and simulation of a grid-connected PV generation system for electromagnetic transient analysis. Solar Energy, 83, 664-678.
  15. King, DL, Boyson, WE and Kratochvil, JA. (2004) Photovoltaic array performance model. Sandia Report System, Sandia National Laboratories, Mexico, 7-41.
  16. Masters, GM. (2004) Renewable and efficient electric power systems, John Wiley and Sons, New Jersey.
  17. Dehghani, MM, Mohammad, AN, Jamal, TA, Alireza, A, Roghayeh, G, Mohammad, HA. (2018) Analysis of stakeholder roles and the challenges of solar energy utilization in Iran. International Journal of Low-Carbon Technologies, 13(4), 438-451.
  18. Mohammad, AZ, Mohammad H. Ahmadi, Roghayeh, G, Mohammad, BS, Omid, M, Soteris, K, Somchai, W. (2018) A review on pulsating heat pipes: From solar to cryogenic applications. Applied Energy, 222, 475-484.
  19. Nema, S, Nema, RK, and Gayatri, A. (2010) Matlab / Simulink based study of photovoltaic cells/modules/ array and their experimental verification. International Journal of Energy and Environment, 1(3), 487-500.
  20. Nguyen, XH, and Nguyen, MP. (2015) Mathematical modeling of photovoltaic cell/module/arrays with tags in Matlab/Simulink. Environmental Systems Research, 4:24, 1-13.
  21. Pandiarajan, N and Muthu, R. (2011) Mathematical modeling of photovoltaic module with Simulink. In Proc. of the 1st International Conference on Electrical Energy Systems, Newport Beach, CA, 258-263.
  22. Premkumar, M and Sowmya, R. (2019) An effective maximum power point tracker for partially shaded solar photovoltaic systems. Energy Reports, 5, 1445-1462.
  23. Premkumar, M and Sumithira, TR. (2018a) Humpback whale assisted hybrid maximum power point tracking algorithm for partially shaded solar photovoltaic systems. Journal of Power Electronics, 18(6), 1805-1818.
  24. Premkumar, M, Karthick, K and Sowmya, R. (2018b) A review on solar PV based grid connected microinverter control schemes and topologies. International Journal of Renewable Energy Development, 7(2), 171-182.
  25. Rajapakse, AD and Muthumuni, D. (2009) Simulation tools for photovoltaic system grid integration studies. IEEE Electrical Power Energy Conference, Canada, 1-5.
  26. Ravinder Kumar, K, Shimi, SL, Chatterji, S and Md. Fahim Ansari. (2014) Modeling of solar PV module and maximum power point tracking using ANFIS, Renewable and Sustainable Energy Reviews, 33, 602-612.
  27. Salmi, T, Mounir, B, Adel, G, and Ahmed, M. (2012) MATLAB/Simulink based modeling of solar photovoltaic cell. International Journal of Renewable Energy Research, 2(2), 213-218.
  28. Sudeepika, P, and Khan, GMG. (2014) Analysis of mathematical model of PV cell module in Matlab/Simulink environment. International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 3(3), 7823-7829.
  29. Varshney, A, and Tariq, A. (2014) Simulink model of solar array for photovoltaic power generation system. International Journal of Electronic and Electrical Engineering, 7(2), 115-122.
  30. Venkateswarlu, G, and Sangameswar, PR. (2013) Simscape model of photovoltaic cell. International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 2(5), 1766-1772.
  31. Walker, G. (2001) Evaluating MPPT converter topologies using a Matlab PV model. Journal of Electrical and Electronics Engineering, 21(1), 49-55.
  32. Zhou, W, Yang, H, and Fang, Z. (2007) A novel model for photovoltaic array performance prediction. Applied Energy, 84, 1187-1198.

Copyright (c) 2020 International Journal of Renewable Energy Development Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

The Authors submitting a manuscript do so on the understanding that if accepted for publication, copyright of the article shall be assigned to International Journal of Renewable Energy Development and Center of Biomass and Renewable Energy, Department of Chemical Engineering Diponegoro University as publisher of the journal.

Copyright encompasses exclusive rights to reproduce and deliver the article in all form and media, including reprints, photographs, microfilms and any other similar reproductions, as well as translations. The reproduction of any part of this journal, its storage in databases and its transmission by any form or media, such as electronic, electrostatic and mechanical copies, photocopies, recordings, magnetic media, etc. , will be allowed only with a written permission from International Journal of Renewable Energy Development and Center of Biomass and Renewable Energy, Department of Chemical Engineering Diponegoro University.

International Journal of Renewable Energy Development and Center of Biomass and Renewable Energy, Department of Chemical Engineering Diponegoro University, the Editors and the Advisory International Editorial Board make every effort to ensure that no wrong or misleading data, opinions or statements be published in the journal. In any way, the contents of the articles and advertisements published in the International Journal of Renewable Energy Development are sole and exclusive responsibility of their respective authors and advertisers.