IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v91y2012i1p59-66.html
   My bibliography  Save this article

Mathematical and graphical approach for maximum power point modelling

Author

Listed:
  • Papaioannou, Ioulia T.
  • Purvins, Arturs

Abstract

This paper proposes a new maximum power point (MPP) model based on datasheets of photovoltaic (PV) panels and on a specific equivalent circuit. Initially, a graphical approach is implemented in order to express the characteristic parameters of PV panels as a function of solar irradiance and panel temperature. These values are used further in a mathematical approach, which implements the equations of the equivalent circuit of a PV panel to calculate MPP voltage, current and power. Furthermore, the proposed maximum power point model is compared and verified against data obtained in field measurements, and also compared with the fill factor method and with respective data for 14 PV panels. The model can be used for PV plant simulations where an accurate and easy to use model of MPP is required to be deployed under operating conditions which are not covered by the datasheets.

Suggested Citation

  • Papaioannou, Ioulia T. & Purvins, Arturs, 2012. "Mathematical and graphical approach for maximum power point modelling," Applied Energy, Elsevier, vol. 91(1), pages 59-66.
    • Handle: RePEc:eee:appene:v:91:y:2012:i:1:p:59-66
    DOI: 10.1016/j.apenergy.2011.09.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261911005642
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.apenergy.2011.09.005?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. Di Piazza, Maria Carmela & Vitale, Gianpaolo, 2010. "Photovoltaic field emulation including dynamic and partial shadow conditions," Applied Energy, Elsevier, vol. 87(3), pages 814-823, March.
    2. Houssamo, Issam & Locment, Fabrice & Sechilariu, Manuela, 2010. "Maximum power tracking for photovoltaic power system: Development and experimental comparison of two algorithms," Renewable Energy, Elsevier, vol. 35(10), pages 2381-2387.
    3. Ammar, Mohsen Ben & Chaabene, Maher & Elhajjaji, Ahmed, 2010. "Daily energy planning of a household photovoltaic panel," Applied Energy, Elsevier, vol. 87(7), pages 2340-2351, July.
    4. Tiwari, G.N. & Mishra, R.K. & Solanki, S.C., 2011. "Photovoltaic modules and their applications: A review on thermal modelling," Applied Energy, Elsevier, vol. 88(7), pages 2287-2304, July.
    5. Hassaine, L. & Olias, E. & Quintero, J. & Haddadi, M., 2009. "Digital power factor control and reactive power regulation for grid-connected photovoltaic inverter," Renewable Energy, Elsevier, vol. 34(1), pages 315-321.
    6. Zhou, Wei & Yang, Hongxing & Fang, Zhaohong, 2007. "A novel model for photovoltaic array performance prediction," Applied Energy, Elsevier, vol. 84(12), pages 1187-1198, December.
    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. Pal, Rudra Sankar & Mukherjee, V., 2020. "Metaheuristic based comparative MPPT methods for photovoltaic technology under partial shading condition," Energy, Elsevier, vol. 212(C).
    2. Yu, Moduo & Huang, Wentao & Tai, Nengling & Zheng, Xiaodong & Wu, Pan & Chen, Weidong, 2018. "Transient stability mechanism of grid-connected inverter-interfaced distributed generators using droop control strategy," Applied Energy, Elsevier, vol. 210(C), pages 737-747.
    3. Sánchez Reinoso, Carlos R. & Milone, Diego H. & Buitrago, Román H., 2013. "Simulation of photovoltaic centrals with dynamic shading," Applied Energy, Elsevier, vol. 103(C), pages 278-289.
    4. Salam, Zainal & Ahmed, Jubaer & Merugu, Benny S., 2013. "The application of soft computing methods for MPPT of PV system: A technological and status review," Applied Energy, Elsevier, vol. 107(C), pages 135-148.
    5. Ahmed, Jubaer & Salam, Zainal, 2014. "A Maximum Power Point Tracking (MPPT) for PV system using Cuckoo Search with partial shading capability," Applied Energy, Elsevier, vol. 119(C), pages 118-130.
    6. Lo Brano, Valerio & Ciulla, Giuseppina, 2013. "An efficient analytical approach for obtaining a five parameters model of photovoltaic modules using only reference data," Applied Energy, Elsevier, vol. 111(C), pages 894-903.

    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. Rawat, Rahul & Kaushik, S.C. & Lamba, Ravita, 2016. "A review on modeling, design methodology and size optimization of photovoltaic based water pumping, standalone and grid connected system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 57(C), pages 1506-1519.
    2. Sánchez Reinoso, Carlos R. & Milone, Diego H. & Buitrago, Román H., 2013. "Simulation of photovoltaic centrals with dynamic shading," Applied Energy, Elsevier, vol. 103(C), pages 278-289.
    3. Bonanno, F. & Capizzi, G. & Graditi, G. & Napoli, C. & Tina, G.M., 2012. "A radial basis function neural network based approach for the electrical characteristics estimation of a photovoltaic module," Applied Energy, Elsevier, vol. 97(C), pages 956-961.
    4. Lalili, D. & Mellit, A. & Lourci, N. & Medjahed, B. & Berkouk, E.M., 2011. "Input output feedback linearization control and variable step size MPPT algorithm of a grid-connected photovoltaic inverter," Renewable Energy, Elsevier, vol. 36(12), pages 3282-3291.
    5. Yao, Ganzhou & Luo, Zirong & Lu, Zhongyue & Wang, Mangkuan & Shang, Jianzhong & Guerrerob, Josep M., 2023. "Unlocking the potential of wave energy conversion: A comprehensive evaluation of advanced maximum power point tracking techniques and hybrid strategies for sustainable energy harvesting," Renewable and Sustainable Energy Reviews, Elsevier, vol. 185(C).
    6. Eke, Rustu & Senturk, Ali, 2013. "Monitoring the performance of single and triple junction amorphous silicon modules in two building integrated photovoltaic (BIPV) installations," Applied Energy, Elsevier, vol. 109(C), pages 154-162.
    7. Lujano-Rojas, Juan M. & Monteiro, Cláudio & Dufo-López, Rodolfo & Bernal-Agustín, José L., 2012. "Optimum load management strategy for wind/diesel/battery hybrid power systems," Renewable Energy, Elsevier, vol. 44(C), pages 288-295.
    8. Salah Beni Hamed & Mouna Ben Hamed & Lassaad Sbita, 2022. "Robust Voltage Control of a Buck DC-DC Converter: A Sliding Mode Approach," Energies, MDPI, vol. 15(17), pages 1-21, August.
    9. Evangelisti, Luca & De Lieto Vollaro, Roberto & Asdrubali, Francesco, 2019. "Latest advances on solar thermal collectors: A comprehensive review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 114(C), pages 1-1.
    10. Canras Batunlu & Mohamad Alrweq & Alhussein Albarbar, 2016. "Effects of Power Tracking Algorithms on Lifetime of Power Electronic Devices Used in Solar Systems," Energies, MDPI, vol. 9(11), pages 1-23, October.
    11. Ramli, Makbul A.M. & Twaha, Ssennoga & Ishaque, Kashif & Al-Turki, Yusuf A., 2017. "A review on maximum power point tracking for photovoltaic systems with and without shading conditions," Renewable and Sustainable Energy Reviews, Elsevier, vol. 67(C), pages 144-159.
    12. Xiaowei Ma & Zhiren Zhang & Hewen Bai & Jing Ren & Song Cheng & Xiaoning Kang, 2022. "A Mid/Long-Term Optimization Model of Power System Considering Cross-Regional Power Trade and Renewable Energy Absorption Interval," Energies, MDPI, vol. 15(10), pages 1-15, May.
    13. Sueyoshi, Toshiyuki & Goto, Mika, 2017. "Measurement of returns to scale on large photovoltaic power stations in the United States and Germany," Energy Economics, Elsevier, vol. 64(C), pages 306-320.
    14. Rounis, Efstratios Dimitrios & Athienitis, Andreas & Stathopoulos, Theodore, 2021. "Review of air-based PV/T and BIPV/T systems - Performance and modelling," Renewable Energy, Elsevier, vol. 163(C), pages 1729-1753.
    15. Nasiri, Reza & Radan, Ahmad, 2011. "Adaptive decoupled control of 4-leg voltage-source inverters for standalone photovoltaic systems: Adjusting transient state response," Renewable Energy, Elsevier, vol. 36(10), pages 2733-2741.
    16. Peng, Jinqing & Lu, Lin & Yang, Hongxing & Ma, Tao, 2015. "Comparative study of the thermal and power performances of a semi-transparent photovoltaic façade under different ventilation modes," Applied Energy, Elsevier, vol. 138(C), pages 572-583.
    17. Sueyoshi, Toshiyuki & Goto, Mika, 2014. "Photovoltaic power stations in Germany and the United States: A comparative study by data envelopment analysis," Energy Economics, Elsevier, vol. 42(C), pages 271-288.
    18. Liu, Zhijian & Liu, Yuanwei & He, Bao-Jie & Xu, Wei & Jin, Guangya & Zhang, Xutao, 2019. "Application and suitability analysis of the key technologies in nearly zero energy buildings in China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 101(C), pages 329-345.
    19. Gaur, Ankita & Tiwari, G.N., 2014. "Performance of a-Si thin film PV modules with and without water flow: An experimental validation," Applied Energy, Elsevier, vol. 128(C), pages 184-191.
    20. Lyu-Guang Hua & Qasir Ali Memon & Muhammad Fawad Shaikh & Shoaib Ahmed Shaikh & Rehan Ali Rahimoon & Syed Hadi Hussain Shah & Abdul Qadir, 2022. "Comparative Analysis of Power Output, Fill Factor, and Efficiency at Fixed and Variable Tilt Angles for Polycrystalline and Monocrystalline Photovoltaic Panels—The Case of Sukkur IBA University," Energies, MDPI, vol. 15(11), pages 1-16, May.

    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:appene:v:91:y:2012:i:1:p:59-66. 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.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    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.