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3-D Modeling of a Polycrystalline Silicon Solar Cell Under Polychromatic Illumination: Effects of the Grain Size and the Recombination Velocity at the Boundaries

Received: 17 April 2021     Accepted: 18 May 2021     Published: 3 June 2021
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Abstract

In this paper, a three-dimensional study on a polycrystalline silicon solar cell under polychromatic illumination in an instational regime. The influence of grain size, recombination velocity at the grain boundaries on the density of the minority carriers of a silicon solar cell, is presented. Based on the continuity equation of the minority carriers in the solar cell base, the expressions of the photocurrent density and the photovoltage in function of the grain size, the recombination velocity, are deduced. The continuity equation of the carriers has been solved by a numerical method with boundary conditions and physical constants fixed in relation to our reference model. The influence of time t on the density of the carriers and on the electric power was presented in this work also. The electrical voltage and current were studied according to the recombination velocity. The conversion efficiency according to the grain size and also presented an assessment of the performance of our model of study. The expressions of the output power and the energy conversion of the solar cell, are determined in order to optimize its functional state. We recall that, the objective is to make a numerical resolution, making fewer simplifying hypotheses so that the study is closer to reality compared to other methods of resolution.

Published in American Journal of Modern Physics (Volume 10, Issue 3)
DOI 10.11648/j.ajmp.20211003.13
Page(s) 55-59
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

Solar Cell, Grain Size, Frequency, Photovoltage, Power, Photocurrent, Recombination Velocity

References
[1] M. M. Deme, S. Mbodji, S. Ndoye, A. Thiam, A. Dieng and G. Sissoko Influence of illumination incidence angle, grain sizeand grain boundary recombination velocity on thefacial solar cell diffusion capacitance. Renewable Energy Review Vol. 13 N°1 (2010) 109 – 532.
[2] M. Zoungrana, I. Zerbo, F. I. Barro, R. Sam, F. Touré, M. L. Samb and F. Zougmoré 3 – D Modeling of the influence of grain size and Recombination velocity at grain joints a Polycrystalline Silicon Solar Cell under clear concentration. Renewable Energy Review Vol. 14 N°4 (2011) 649 – 664.
[3] I. Zerbo, M. Zoungrama, A. D. Seré, F. Ouedraogo, R. Sam, B. Zouma, et Zougmoré, Influence of an Electromagnetic wave on Silicon Solar Cell under Multispectral Illumination in Static Mode. Renewable Energy Review Vol. 14 N°3 (2011) 517 – 532.
[4] Meimouna MINT SIDI DEDE, Mor Ndiaye, Sega GUEYE, Mamadou Lamine BA, Ibrahima DIATTA, Marcel Sitor DIOUF, El Hadj SOW, Amadou MamourBA, Massamba DIOP, and Gregoire SISSOKOO ptimum base thickness determination technique asapplied to n/p/p+ silicon solar cell under short wavelengths monochromatic illumination International Journal of Innovation and Applied Studies ISSN 2028-9324 Vol. 29 No. 3 Jun. 2020, pp. 576-586.
[5] Matar Gueye, Hawa Ly Diallo, Attoumane Kosso Mamadou Moustapha2, Youssou Traore1, IbrahimaDiatta1, Gregoire Sissoko1Ac Recombination Velocity in a Lamella Silicon SolarCell World Journal of Condensed Matter Physics, 2018, 8, 185-196.
[6] Ousmane Diasse, Amadou Diao, Mamadou Wade, Marcel Sitor Diouf, Ibrahima Diatta, Richard Mane, Youssou Traore, Gregoire Sissoko Back Surface Recombination Velocity Modeling in White Biased Silicon Solar Cell under Steady StateJournal of Modern Physics, 2018, 9, 189-201.
[7] Amadou Diao, Mamadou Wade, Moustapha Thiame, Grégoire Sissoko Bifacial Silicon Solar Cell Steady Photo conductivity under Constant Magnetic Field and Junction Recombination Velocity Effects Journal of Modern Physics, 2017, 8, 2200-2208.
[8] Senghane Mbodji, Martial Zoungrana, Issa Zerbo, Biram, Gregoire Sissoko Modelling Study of Magnetic Field’s Effects on Solar Cell’s Transient Decay World Journal of Condensed Matter Physics, 2015, 5, 284-293.
[9] E. F Nogotov, Applications of Numerical Heat Transfer, Ed. McGraw Hill book company, New York (1978).
[10] H. El Ghitani and S. Martinuzzi, Influence of dislocations on electrical properties of large grained polycrystalline silicon cells. II. Experimental results Journal of Applied Physics 66, 1989, pp-1723-1726.
[11] N. Thiam, A. Diao, M. Wade, M. Ndiaye, I. Zerbo, M. Sarr, A. S. Maîga and G. Sissoko Study of the Photo thermal Response of a Monofacial Solar Cell in Dynamic Regime Under a Multispectral Illumination. Research Journal of Applied Sciences, Engineering and Technology 5 (1): 134-141, 2013.
[12] F. Poupaud, On a System of Nonlinear Boltmann Equations of Semiconductor Physics, SIAM Journal on Applied Mathematics 50 (6). Décembre 1990 Vol. 50:, Issue, 6 Pages. 1593-1606.
[13] Nzonzolo, Désiré Lilonga, Camille Nziengui Mabika, Grégoire Sissoko Two – Dimensional Finite Element Method Analysis Effect of the Recombination Velocity at the Grain Boundaries onthe Characteristics of a Polycrystalline Silicon Solar Cell. Circuit and Systems, 2016, 7, 4186 – 4200.
[14] I. Ly, O. H. Lemrabott, B. Dieng, I. Gaye, S. Gueye, M. S. Diouf and G. Sissoko. Technique for Determining the Recombination Parameters and the Range of their Validity of a Polycrystalline Silicon bifacial Solar Cell under Constant Multispectral Illumination in Static Mode Renewable Energy Review Vol. 15 N°2( 2012) 187 – 206.
[15] Amal Nadril, Yves Duternail-Couvat, Thierry Duffar. Two-dimensional numerical modeling of grainstructure in multi-crystalline silicon ingot. Journal ofcrystal growth 385, 16-21, 2014.
[16] Alfred DIENG, Ndeye THIAM, Mamadou LamineSAMB, Amadou Seîdou MAIGA, Fabé IdrissaBARRO, Grégoire Sissoko 3 - D study of a polycrystalline silicon solar cell: Influence of grain size and recombination velocity at grain joints on Electrical Parameters. Journal of Sciense. Vol. 9, N°1 (2009) 51-63.
[17] E. H. Ndiaye, G. Sahin, M. Dieng, A. Thiam, H. L. Diallo, M. Ndiaye, and G. Sissoko, “Study of the Intrinsic Recombination Velocity at the Junction ofSilicon Solar under Frequency Modulation and Irradiation,” Journal of Applied Mathematics and Physics, vol. 3, pp. 1522-1535, November 2015.
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    Mamadou Bamba Sene, Amadou Diao, Alioune Faye, Cheikh Mbow. (2021). 3-D Modeling of a Polycrystalline Silicon Solar Cell Under Polychromatic Illumination: Effects of the Grain Size and the Recombination Velocity at the Boundaries. American Journal of Modern Physics, 10(3), 55-59. https://doi.org/10.11648/j.ajmp.20211003.13

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    ACS Style

    Mamadou Bamba Sene; Amadou Diao; Alioune Faye; Cheikh Mbow. 3-D Modeling of a Polycrystalline Silicon Solar Cell Under Polychromatic Illumination: Effects of the Grain Size and the Recombination Velocity at the Boundaries. Am. J. Mod. Phys. 2021, 10(3), 55-59. doi: 10.11648/j.ajmp.20211003.13

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    AMA Style

    Mamadou Bamba Sene, Amadou Diao, Alioune Faye, Cheikh Mbow. 3-D Modeling of a Polycrystalline Silicon Solar Cell Under Polychromatic Illumination: Effects of the Grain Size and the Recombination Velocity at the Boundaries. Am J Mod Phys. 2021;10(3):55-59. doi: 10.11648/j.ajmp.20211003.13

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  • @article{10.11648/j.ajmp.20211003.13,
      author = {Mamadou Bamba Sene and Amadou Diao and Alioune Faye and Cheikh Mbow},
      title = {3-D Modeling of a Polycrystalline Silicon Solar Cell Under Polychromatic Illumination: Effects of the Grain Size and the Recombination Velocity at the Boundaries},
      journal = {American Journal of Modern Physics},
      volume = {10},
      number = {3},
      pages = {55-59},
      doi = {10.11648/j.ajmp.20211003.13},
      url = {https://doi.org/10.11648/j.ajmp.20211003.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20211003.13},
      abstract = {In this paper, a three-dimensional study on a polycrystalline silicon solar cell under polychromatic illumination in an instational regime. The influence of grain size, recombination velocity at the grain boundaries on the density of the minority carriers of a silicon solar cell, is presented. Based on the continuity equation of the minority carriers in the solar cell base, the expressions of the photocurrent density and the photovoltage in function of the grain size, the recombination velocity, are deduced. The continuity equation of the carriers has been solved by a numerical method with boundary conditions and physical constants fixed in relation to our reference model. The influence of time t on the density of the carriers and on the electric power was presented in this work also. The electrical voltage and current were studied according to the recombination velocity. The conversion efficiency according to the grain size and also presented an assessment of the performance of our model of study. The expressions of the output power and the energy conversion of the solar cell, are determined in order to optimize its functional state. We recall that, the objective is to make a numerical resolution, making fewer simplifying hypotheses so that the study is closer to reality compared to other methods of resolution.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - 3-D Modeling of a Polycrystalline Silicon Solar Cell Under Polychromatic Illumination: Effects of the Grain Size and the Recombination Velocity at the Boundaries
    AU  - Mamadou Bamba Sene
    AU  - Amadou Diao
    AU  - Alioune Faye
    AU  - Cheikh Mbow
    Y1  - 2021/06/03
    PY  - 2021
    N1  - https://doi.org/10.11648/j.ajmp.20211003.13
    DO  - 10.11648/j.ajmp.20211003.13
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
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    EP  - 59
    PB  - Science Publishing Group
    SN  - 2326-8891
    UR  - https://doi.org/10.11648/j.ajmp.20211003.13
    AB  - In this paper, a three-dimensional study on a polycrystalline silicon solar cell under polychromatic illumination in an instational regime. The influence of grain size, recombination velocity at the grain boundaries on the density of the minority carriers of a silicon solar cell, is presented. Based on the continuity equation of the minority carriers in the solar cell base, the expressions of the photocurrent density and the photovoltage in function of the grain size, the recombination velocity, are deduced. The continuity equation of the carriers has been solved by a numerical method with boundary conditions and physical constants fixed in relation to our reference model. The influence of time t on the density of the carriers and on the electric power was presented in this work also. The electrical voltage and current were studied according to the recombination velocity. The conversion efficiency according to the grain size and also presented an assessment of the performance of our model of study. The expressions of the output power and the energy conversion of the solar cell, are determined in order to optimize its functional state. We recall that, the objective is to make a numerical resolution, making fewer simplifying hypotheses so that the study is closer to reality compared to other methods of resolution.
    VL  - 10
    IS  - 3
    ER  - 

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Author Information
  • Solid State Physics and Materials Sciences Laboraty, Faculty of Sciences and Techniques, University of Cheikh Anta Diop, Dakar, Senegal

  • Solid State Physics and Materials Sciences Laboraty, Faculty of Sciences and Techniques, University of Cheikh Anta Diop, Dakar, Senegal

  • Fluid Mechanics and Applied Dynamics System Laboraty, Faculty of Sciences and Techniques, University of Cheikh Anta Diop, Dakar, Senegal

  • Fluid Mechanics and Applied Dynamics System Laboraty, Faculty of Sciences and Techniques, University of Cheikh Anta Diop, Dakar, Senegal

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