IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v103y2017icp729-738.html
   My bibliography  Save this article

Simple mathematical approach to solar cell/panel behavior based on datasheet information

Author

Listed:
  • Pindado, Santiago
  • Cubas, Javier

Abstract

A new explicit mathematical expression is used to describe the behavior of a photovoltaic device (solar cell/panel), that is, its I-V curve, based on the characteristic points normally included in the manufacturers’ datasheets. This expression consists of two simple equations, one for voltage levels lower than the voltage at the maximum power point, V < Vmp, and the other one for voltage levels above this point, V > Vmp. The first equation is defined with two of the three characteristic points (short circuit and maximum power points), whereas the second one is defined with the current and voltage levels at maximum power point, the open circuit voltage, and a constant that can be adjusted based on: 1) the best fitting to the data within the bracket [Vmp, Voc], or 2) one point within this bracket, or 3) the slope of the I-V curve at the open circuit point, or 4) an estimation of that slope. Results of the solar cell/panel behavior analysis obtained with the proposed methodology, are similar to the ones obtained with the well-known 1-diode/2-resistor equivalent circuit model, in terms of accuracy.

Suggested Citation

  • Pindado, Santiago & Cubas, Javier, 2017. "Simple mathematical approach to solar cell/panel behavior based on datasheet information," Renewable Energy, Elsevier, vol. 103(C), pages 729-738.
    • Handle: RePEc:eee:renene:v:103:y:2017:i:c:p:729-738
    DOI: 10.1016/j.renene.2016.11.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148116309697
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2016.11.007?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Chenni, R. & Makhlouf, M. & Kerbache, T. & Bouzid, A., 2007. "A detailed modeling method for photovoltaic cells," Energy, Elsevier, vol. 32(9), pages 1724-1730.
    2. Saetre, Tor Oskar & Midtgård, Ole-Morten & Yordanov, Georgi Hristov, 2011. "A new analytical solar cell I–V curve model," Renewable Energy, Elsevier, vol. 36(8), pages 2171-2176.
    3. Jena, Debashisha & Ramana, Vanjari Venkata, 2015. "Modeling of photovoltaic system for uniform and non-uniform irradiance: A critical review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 52(C), pages 400-417.
    4. Toledo, F.J. & Blanes, José M., 2016. "Analytical and quasi-explicit four arbitrary point method for extraction of solar cell single-diode model parameters," Renewable Energy, Elsevier, vol. 92(C), pages 346-356.
    5. Deihimi, M.H. & Naghizadeh, R.A. & Meyabadi, A. Fattahi, 2016. "Systematic derivation of parameters of one exponential model for photovoltaic modules using numerical information of data sheet," Renewable Energy, Elsevier, vol. 87(P1), pages 676-685.
    6. Javier Cubas & Santiago Pindado & Carlos De Manuel, 2014. "Explicit Expressions for Solar Panel Equivalent Circuit Parameters Based on Analytical Formulation and the Lambert W-Function," Energies, MDPI, vol. 7(7), pages 1-18, June.
    7. Orioli, Aldo & Di Gangi, Alessandra, 2013. "A procedure to calculate the five-parameter model of crystalline silicon photovoltaic modules on the basis of the tabular performance data," Applied Energy, Elsevier, vol. 102(C), pages 1160-1177.
    8. Toledo, F.J. & Blanes, José M. & Garrigós, Ausiàs & Martínez, José A., 2012. "Analytical resolution of the electrical four-parameters model of a photovoltaic module using small perturbation around the operating point," Renewable Energy, Elsevier, vol. 43(C), pages 83-89.
    9. Cotfas, D.T. & Cotfas, P.A. & Kaplanis, S., 2013. "Methods to determine the dc parameters of solar cells: A critical review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 28(C), pages 588-596.
    10. Chin, Vun Jack & Salam, Zainal & Ishaque, Kashif, 2015. "Cell modelling and model parameters estimation techniques for photovoltaic simulator application: A review," Applied Energy, Elsevier, vol. 154(C), pages 500-519.
    11. Toledo, F.J. & Blanes, Jose M., 2014. "Geometric properties of the single-diode photovoltaic model and a new very simple method for parameters extraction," Renewable Energy, Elsevier, vol. 72(C), pages 125-133.
    12. Bhatnagar, Pallavee & Nema, R.K., 2013. "Maximum power point tracking control techniques: State-of-the-art in photovoltaic applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 23(C), pages 224-241.
    13. Humada, Ali M. & Hojabri, Mojgan & Mekhilef, Saad & Hamada, Hussein M., 2016. "Solar cell parameters extraction based on single and double-diode models: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 56(C), pages 494-509.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ernesto Bárcenas-Bárcenas & Diego R. Espinoza-Trejo & José A. Pecina-Sánchez & Héctor A. Álvarez-Macías & Isaac Compeán-Martínez & Ángel A. Vértiz-Hernández, 2023. "An improved Fractional MPPT Method by Using a Small Circle Approximation of the P–V Characteristic Curve," Mathematics, MDPI, vol. 11(3), pages 1-15, January.
    2. Santiago Pindado & Javier Cubas & Elena Roibás-Millán & Francisco Bugallo-Siegel & Félix Sorribes-Palmer, 2018. "Assessment of Explicit Models for Different Photovoltaic Technologies," Energies, MDPI, vol. 11(6), pages 1-22, May.
    3. Schuster, Christian Stefano, 2020. "Analytical framework for the assessment and modelling of multi-junction solar cells in the outdoors," Renewable Energy, Elsevier, vol. 152(C), pages 1367-1379.
    4. Abbassi, Rabeh & Abbassi, Abdelkader & Jemli, Mohamed & Chebbi, Souad, 2018. "Identification of unknown parameters of solar cell models: A comprehensive overview of available approaches," Renewable and Sustainable Energy Reviews, Elsevier, vol. 90(C), pages 453-474.
    5. Louzazni, Mohamed & Al-Dahidi, Sameer, 2021. "Approximation of photovoltaic characteristics curves using Bézier Curve," Renewable Energy, Elsevier, vol. 174(C), pages 715-732.
    6. Shi, Nan & Lv, Yanling & Zhang, Yuchen & Zhu, Xianhui, 2023. "Linear fitting Rule of I–V characteristics of thin-film cells based on Bezier function," Energy, Elsevier, vol. 278(PB).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Santiago Pindado & Javier Cubas & Elena Roibás-Millán & Francisco Bugallo-Siegel & Félix Sorribes-Palmer, 2018. "Assessment of Explicit Models for Different Photovoltaic Technologies," Energies, MDPI, vol. 11(6), pages 1-22, May.
    2. Senturk, A. & Eke, R., 2017. "A new method to simulate photovoltaic performance of crystalline silicon photovoltaic modules based on datasheet values," Renewable Energy, Elsevier, vol. 103(C), pages 58-69.
    3. Efstratios Batzelis, 2019. "Non-Iterative Methods for the Extraction of the Single-Diode Model Parameters of Photovoltaic Modules: A Review and Comparative Assessment," Energies, MDPI, vol. 12(3), pages 1-26, January.
    4. Abbassi, Rabeh & Abbassi, Abdelkader & Jemli, Mohamed & Chebbi, Souad, 2018. "Identification of unknown parameters of solar cell models: A comprehensive overview of available approaches," Renewable and Sustainable Energy Reviews, Elsevier, vol. 90(C), pages 453-474.
    5. Toledo, F.J. & Blanes, José M. & Galiano, V. & Laudani, A., 2021. "In-depth analysis of single-diode model parameters from manufacturer’s datasheet," Renewable Energy, Elsevier, vol. 163(C), pages 1370-1384.
    6. Tong, Nhan Thanh & Pora, Wanchalerm, 2016. "A parameter extraction technique exploiting intrinsic properties of solar cells," Applied Energy, Elsevier, vol. 176(C), pages 104-115.
    7. Piliougine, M. & Guejia-Burbano, R.A. & Petrone, G. & Sánchez-Pacheco, F.J. & Mora-López, L. & Sidrach-de-Cardona, M., 2021. "Parameters extraction of single diode model for degraded photovoltaic modules," Renewable Energy, Elsevier, vol. 164(C), pages 674-686.
    8. Jordehi, A. Rezaee, 2016. "Parameter estimation of solar photovoltaic (PV) cells: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 61(C), pages 354-371.
    9. Chen, Zhicong & Wu, Lijun & Lin, Peijie & Wu, Yue & Cheng, Shuying, 2016. "Parameters identification of photovoltaic models using hybrid adaptive Nelder-Mead simplex algorithm based on eagle strategy," Applied Energy, Elsevier, vol. 182(C), pages 47-57.
    10. Pillai, Dhanup S. & Rajasekar, N., 2018. "Metaheuristic algorithms for PV parameter identification: A comprehensive review with an application to threshold setting for fault detection in PV systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 82(P3), pages 3503-3525.
    11. Wang, Gang & Zhao, Ke & Shi, Jiangtao & Chen, Wei & Zhang, Haiyang & Yang, Xinsheng & Zhao, Yong, 2017. "An iterative approach for modeling photovoltaic modules without implicit equations," Applied Energy, Elsevier, vol. 202(C), pages 189-198.
    12. Wu, Lijun & Chen, Zhicong & Long, Chao & Cheng, Shuying & Lin, Peijie & Chen, Yixiang & Chen, Huihuang, 2018. "Parameter extraction of photovoltaic models from measured I-V characteristics curves using a hybrid trust-region reflective algorithm," Applied Energy, Elsevier, vol. 232(C), pages 36-53.
    13. Ridha, Hussein Mohammed & Hizam, Hashim & Gomes, Chandima & Heidari, Ali Asghar & Chen, Huiling & Ahmadipour, Masoud & Muhsen, Dhiaa Halboot & Alghrairi, Mokhalad, 2021. "Parameters extraction of three diode photovoltaic models using boosted LSHADE algorithm and Newton Raphson method," Energy, Elsevier, vol. 224(C).
    14. Bana, Sangram & Saini, R.P., 2017. "Identification of unknown parameters of a single diode photovoltaic model using particle swarm optimization with binary constraints," Renewable Energy, Elsevier, vol. 101(C), pages 1299-1310.
    15. Esteban Velilla & Juan Bernardo Cano & Keony Jimenez & Jaime Valencia & Daniel Ramirez & Franklin Jaramillo, 2018. "Numerical Analysis to Determine Reliable One-Diode Model Parameters for Perovskite Solar Cells," Energies, MDPI, vol. 11(8), pages 1-12, July.
    16. Singh, Rashmi & Sharma, Madhu & Rawat, Rahul & Banerjee, Chandan, 2018. "An assessment of series resistance estimation techniques for different silicon based SPV modules," Renewable and Sustainable Energy Reviews, Elsevier, vol. 98(C), pages 199-216.
    17. Yu, Kunjie & Liang, J.J. & Qu, B.Y. & Cheng, Zhiping & Wang, Heshan, 2018. "Multiple learning backtracking search algorithm for estimating parameters of photovoltaic models," Applied Energy, Elsevier, vol. 226(C), pages 408-422.
    18. Gulkowski, Slawomir & Muñoz Diez, José Vicente & Aguilera Tejero, Jorge & Nofuentes, Gustavo, 2019. "Computational modeling and experimental analysis of heterojunction with intrinsic thin-layer photovoltaic module under different environmental conditions," Energy, Elsevier, vol. 172(C), pages 380-390.
    19. Koohi-Kamalі, Sam & Rahim, N.A. & Mokhlis, H. & Tyagi, V.V., 2016. "Photovoltaic electricity generator dynamic modeling methods for smart grid applications: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 57(C), pages 131-172.
    20. Dong, Xiao-Jian & Shen, Jia-Ni & He, Guo-Xin & Ma, Zi-Feng & He, Yi-Jun, 2021. "A general radial basis function neural network assisted hybrid modeling method for photovoltaic cell operating temperature prediction," Energy, Elsevier, vol. 234(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:renene:v:103:y:2017:i:c:p:729-738. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/renewable-energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.