IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v74y2015icp214-226.html
   My bibliography  Save this article

Lambert W function-based technique for tracking the maximum power point of PV modules connected in various configurations

Author

Listed:
  • Fathabadi, Hassan

Abstract

In this study, a novel exact technique is proposed for tracking the maximum power point (MPP) of photovoltaic (PV) modules connected in various configurations. The Lambert W function is used to perform the equations which express current–voltage (I–V), power–voltage (P–V) and power–current (P–I) characteristics of various configured PV modules. Then, the Lambert W function-based equations are converted into discrete equations. The maximum output powers of each configuration under nominal and shaded conditions are determined by numerically solving the discrete equations. It is shown that the maximum output power of a PV array strictly depends on the configuration of its PV modules. Two comparisons between various configurations are presented under nominal and shaded conditions which explicitly show higher performance of the parallel homogenous configuration. Simulation results not only verify that the proposed Lambert W function-based technique is a high accuracy technique but also show a good agreement between the calculated parameters and the experimental data obtained from the datasheet. The contribution of this work is to present a novel exact technique for determining the maximum output powers of various configured PV modules. The results of this research can be effectively used to determine the MPP of PV arrays/panels.

Suggested Citation

  • Fathabadi, Hassan, 2015. "Lambert W function-based technique for tracking the maximum power point of PV modules connected in various configurations," Renewable Energy, Elsevier, vol. 74(C), pages 214-226.
    • Handle: RePEc:eee:renene:v:74:y:2015:i:c:p:214-226
    DOI: 10.1016/j.renene.2014.07.059
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148114004571
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2014.07.059?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. Mellit, A. & Sağlam, S. & Kalogirou, S.A., 2013. "Artificial neural network-based model for estimating the produced power of a photovoltaic module," Renewable Energy, Elsevier, vol. 60(C), pages 71-78.
    2. Ghazi, Sanaz & Ip, Kenneth, 2014. "The effect of weather conditions on the efficiency of PV panels in the southeast of UK," Renewable Energy, Elsevier, vol. 69(C), pages 50-59.
    3. AlHajri, M.F. & El-Naggar, K.M. & AlRashidi, M.R. & Al-Othman, A.K., 2012. "Optimal extraction of solar cell parameters using pattern search," Renewable Energy, Elsevier, vol. 44(C), pages 238-245.
    4. Qian, D. & Marshall, J.S. & Frolik, J., 2012. "Control analysis for solar panel dust mitigation using an electric curtain," Renewable Energy, Elsevier, vol. 41(C), pages 134-144.
    5. Amrouche, Badia & Guessoum, Abderrezak & Belhamel, Maiouf, 2012. "A simple behavioural model for solar module electric characteristics based on the first order system step response for MPPT study and comparison," Applied Energy, Elsevier, vol. 91(1), pages 395-404.
    6. Zheng, Huiying & Li, Shuhui & Challoo, Rajab & Proano, Julio, 2014. "Shading and bypass diode impacts to energy extraction of PV arrays under different converter configurations," Renewable Energy, Elsevier, vol. 68(C), pages 58-66.
    7. Carrero, C. & Rodríguez, J. & Ramírez, D. & Platero, C., 2010. "Simple estimation of PV modules loss resistances for low error modelling," Renewable Energy, Elsevier, vol. 35(5), pages 1103-1108.
    8. Chen, Yifeng & Wang, Xuemeng & Li, Da & Hong, Ruijiang & Shen, Hui, 2011. "Parameters extraction from commercial solar cells I-V characteristics and shunt analysis," Applied Energy, Elsevier, vol. 88(6), pages 2239-2244, June.
    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. Chen, Jinxin & Pan, Guobing & Ouyang, Jing & Ma, Jin & Fu, Lei & Zhang, Libin, 2020. "Study on impacts of dust accumulation and rainfall on PV power reduction in East China," Energy, Elsevier, vol. 194(C).
    2. Fathabadi, Hassan, 2016. "Novel high efficient offline sensorless dual-axis solar tracker for using in photovoltaic systems and solar concentrators," Renewable Energy, Elsevier, vol. 95(C), pages 485-494.
    3. Mahmoudinezhad, S. & Rezania, A. & Cotfas, D.T. & Cotfas, P.A. & Rosendahl, L.A., 2018. "Experimental and numerical investigation of hybrid concentrated photovoltaic – Thermoelectric module under low solar concentration," Energy, Elsevier, vol. 159(C), pages 1123-1131.
    4. Fathabadi, Hassan, 2016. "Novel fast dynamic MPPT (maximum power point tracking) technique with the capability of very high accurate power tracking," Energy, Elsevier, vol. 94(C), pages 466-475.
    5. Fathabadi, Hassan, 2016. "Novel high accurate sensorless dual-axis solar tracking system controlled by maximum power point tracking unit of photovoltaic systems," Applied Energy, Elsevier, vol. 173(C), pages 448-459.
    6. Wu, Jing & Zhang, Ling & Liu, Zhongbing & Luo, Yongqiang & Wu, Zhenghong & Wang, Pengcheng, 2020. "Experimental and theoretical study on the performance of semi-transparent photovoltaic glazing façade under shaded conditions," Energy, Elsevier, vol. 207(C).
    7. Tian, Xinyi & Wang, Jun & Wang, Chuyao & Ji, Jie, 2023. "Comparison analysis of the glazed and unglazed curved water-based PV/T roofs in the non-heating season," Renewable Energy, Elsevier, vol. 205(C), pages 899-917.
    8. Fathabadi, Hassan, 2017. "Novel grid-connected solar/wind powered electric vehicle charging station with vehicle-to-grid technology," Energy, Elsevier, vol. 132(C), pages 1-11.
    9. 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.
    10. Fathabadi, Hassan, 2016. "Novel highly accurate universal maximum power point tracker for maximum power extraction from hybrid fuel cell/photovoltaic/wind power generation systems," Energy, Elsevier, vol. 116(P1), pages 402-416.
    11. Gulin, Marko & Pavlović, Tomislav & Vašak, Mario, 2016. "Photovoltaic panel and array static models for power production prediction: Integration of manufacturers’ and on-line data," Renewable Energy, Elsevier, vol. 97(C), pages 399-413.
    12. Xiong, Wei & Liu, Zhongbing & Wu, Zhenghong & Wu, Jing & Su, Fanghan & Zhang, Ling, 2022. "Investigation of the effect of Inter-Building Effect on the performance of semi-transparent PV glazing system," Energy, Elsevier, vol. 245(C).
    13. Fathabadi, Hassan, 2017. "Novel fast and high accuracy maximum power point tracking method for hybrid photovoltaic/fuel cell energy conversion systems," Renewable Energy, Elsevier, vol. 106(C), pages 232-242.
    14. Fathabadi, Hassan, 2019. "Two novel methods for converting the waste heat of PV modules caused by temperature rise into electric power," Renewable Energy, Elsevier, vol. 142(C), pages 543-551.
    15. Belhachat, Faiza & Larbes, Cherif, 2017. "Global maximum power point tracking based on ANFIS approach for PV array configurations under partial shading conditions," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 875-889.
    16. Wu, Jing & Zhang, Ling & Liu, Zhongbing & Wu, Zhenghong, 2021. "Coupled optical-electrical-thermal analysis of a semi-transparent photovoltaic glazing façade under building shadow," Applied Energy, Elsevier, vol. 292(C).

    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. Askarzadeh, Alireza & Rezazadeh, Alireza, 2013. "Artificial bee swarm optimization algorithm for parameters identification of solar cell models," Applied Energy, Elsevier, vol. 102(C), pages 943-949.
    2. Nunes, H.G.G. & Pombo, J.A.N. & Mariano, S.J.P.S. & Calado, M.R.A. & Felippe de Souza, J.A.M., 2018. "A new high performance method for determining the parameters of PV cells and modules based on guaranteed convergence particle swarm optimization," Applied Energy, Elsevier, vol. 211(C), pages 774-791.
    3. Ghani, F. & Rosengarten, G. & Duke, M. & Carson, J.K., 2014. "The numerical calculation of single-diode solar-cell modelling parameters," Renewable Energy, Elsevier, vol. 72(C), pages 105-112.
    4. Jiang, Lian Lian & Maskell, Douglas L. & Patra, Jagdish C., 2013. "Parameter estimation of solar cells and modules using an improved adaptive differential evolution algorithm," Applied Energy, Elsevier, vol. 112(C), pages 185-193.
    5. Tabanjat, Abdulkader & Becherif, Mohamed & Hissel, Daniel, 2015. "Reconfiguration solution for shaded PV panels using switching control," Renewable Energy, Elsevier, vol. 82(C), pages 4-13.
    6. Li, W. & Paul, M.C. & Rolley, M. & Sweet, T. & Gao, M. & Siviter, J. & Montecucco, A. & Knox, A.R. & Baig, H. & Mallick, T.K. & Fernandez, E.F. & Han, G. & Gregory, D.H. & Azough, F. & Freer, R., 2017. "A scaling law for monocrystalline PV/T modules with CCPC and comparison with triple junction PV cells," Applied Energy, Elsevier, vol. 202(C), pages 755-771.
    7. 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.
    8. 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.
    9. Blaifi, Sid-ali & Moulahoum, Samir & Taghezouit, Bilal & Saim, Abdelhakim, 2019. "An enhanced dynamic modeling of PV module using Levenberg-Marquardt algorithm," Renewable Energy, Elsevier, vol. 135(C), pages 745-760.
    10. 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.
    11. 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.
    12. Trigo-González, Mauricio & Batlles, F.J. & Alonso-Montesinos, Joaquín & Ferrada, Pablo & del Sagrado, J. & Martínez-Durbán, M. & Cortés, Marcelo & Portillo, Carlos & Marzo, Aitor, 2019. "Hourly PV production estimation by means of an exportable multiple linear regression model," Renewable Energy, Elsevier, vol. 135(C), pages 303-312.
    13. Meng, Zhuo & Zhao, Yiman & Tang, Shiqing & Sun, Yize, 2020. "An efficient datasheet-based parameters extraction method for two-diode photovoltaic cell and cells model," Renewable Energy, Elsevier, vol. 153(C), pages 1174-1182.
    14. Biancardi, Marta & Di Bari, Antonio & Villani, Giovanni, 2021. "R&D investment decision on smart cities: Energy sustainability and opportunity," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    15. Kittisak Lohwanitchai & Daranee Jareemit, 2021. "Modeling Energy Efficiency Performance and Cost-Benefit Analysis Achieving Net-Zero Energy Building Design: Case Studies of Three Representative Offices in Thailand," Sustainability, MDPI, vol. 13(9), pages 1-24, May.
    16. Michail Serris & Paraskevi Petrou & Isidoros Iakovidis & Sotiria Dimitrellou, 2023. "Techno-Economic and Environmental Evaluation of a Solar Energy System on a Ro-Ro Vessel for Sustainability," Energies, MDPI, vol. 16(18), pages 1-20, September.
    17. Syed Zahurul Islam & Mohammad Lutfi Othman & Muhammad Saufi & Rosli Omar & Arash Toudeshki & Syed Zahidul Islam, 2020. "Photovoltaic modules evaluation and dry-season energy yield prediction model for NEM in Malaysia," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-25, November.
    18. Jianing Li & Cheng Qin & Chen Yang & Bin Ai & Yecheng Zhou, 2023. "Extraction of Single Diode Model Parameters of Solar Cells and PV Modules by Combining an Intelligent Optimization Algorithm with Simplified Explicit Equation Based on Lambert W Function," Energies, MDPI, vol. 16(14), pages 1-23, July.
    19. Hasan, M.A. & Parida, S.K., 2016. "An overview of solar photovoltaic panel modeling based on analytical and experimental viewpoint," Renewable and Sustainable Energy Reviews, Elsevier, vol. 60(C), pages 75-83.
    20. Madi, Saida & Kheldoun, Aissa, 2017. "Bond graph based modeling for parameter identification of photovoltaic module," Energy, Elsevier, vol. 141(C), pages 1456-1465.

    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:74:y:2015:i:c:p:214-226. 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.