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Analytical resolution of the electrical four-parameters model of a photovoltaic module using small perturbation around the operating point

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  • Toledo, F.J.
  • Blanes, José M.
  • Garrigós, Ausiàs
  • Martínez, José A.

Abstract

In this paper, a new real-time curve fitting method for photovoltaic (PV) modules is presented. The method solves the four-parameters photovoltaic cell model without scanning the entire I–V curve, without sensing irradiance or temperature and with no need of any manufacturer data. Only six pairs of voltage and current coordinates are needed to obtain the photovoltaic module parameters in any conditions of illumination, temperature or degradation. Once the electrical model is known, a new technique to compute the maximum power point (MPP) of the module is devised. This method is suitable for real time applications where the I–V curve of the module and the MPP can be extracted at any moment without affecting the operation of the system. The theory that supports the estimator and experimental results are presented in this work.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:renene:v:43:y:2012:i:c:p:83-89
    DOI: 10.1016/j.renene.2011.11.037
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    References listed on IDEAS

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    1. Celik, Ali Naci & Acikgoz, NasIr, 2007. "Modelling and experimental verification of the operating current of mono-crystalline photovoltaic modules using four- and five-parameter models," Applied Energy, Elsevier, vol. 84(1), pages 1-15, January.
    2. de Blas, M.A & Torres, J.L & Prieto, E & Garcı́a, A, 2002. "Selecting a suitable model for characterizing photovoltaic devices," Renewable Energy, Elsevier, vol. 25(3), pages 371-380.
    3. Garrido-Alzar, C.L., 1997. "Algorithm for extraction of solar cell parameters from I–V curve using double exponential model," Renewable Energy, Elsevier, vol. 10(2), pages 125-128.
    4. Garrigós, Ausias & Blanes, José M. & Carrasco, José A. & Ejea, Juan B., 2007. "Real time estimation of photovoltaic modules characteristics and its application to maximum power point operation," Renewable Energy, Elsevier, vol. 32(6), pages 1059-1076.
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    Cited by:

    1. 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.
    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. Vincenzo Franzitta & Aldo Orioli & Alessandra Di Gangi, 2017. "Assessment of the Usability and Accuracy of Two-Diode Models for Photovoltaic Modules," Energies, MDPI, vol. 10(4), pages 1-32, April.
    4. Heidi Kalliojärvi & Kari Lappalainen & Seppo Valkealahti, 2022. "Feasibility of Photovoltaic Module Single-Diode Model Fitting to the Current–Voltage Curves Measured in the Vicinity of the Maximum Power Point for Online Condition Monitoring Purposes," Energies, MDPI, vol. 15(23), pages 1-21, November.
    5. 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.
    6. 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.
    7. 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.
    8. 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.

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