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Dynamic Frequency Study Under Monochromatic Illumination of the Photocurrent Density - Photovoltage Characteristic and the Series and Shunt Resistances of a Solar Cell Based on CIGS: Effects of the Angle of Incidence and the Doping Level of Gallium

Received: 2 August 2025     Accepted: 14 August 2025     Published: 15 September 2025
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Abstract

This article focuses on the analysis of a CIGS (copper, indium, gallium, selenide) solar cell using a dynamic frequency approach under monochromatic illumination. The main objective is to understand the behavior of the cell and identify the factors that influence its performance, particularly the angle of incidence of light and the gallium doping rate. The work begins with solving the differential equation that governs the dynamics of minority charge carriers within the cell. This solution provides an analytical expression for the density of these carriers, which is a crucial step in modeling the electrical behavior of the cell. From this carrier density, expressions for the photocurrent density and photovoltage are then derived. The study of the photocurrent-photovoltage characteristic, often referred to as the I-V (current-voltage) curve, is central to the analysis. This curve reveals two key operating points for the solar cell. The first is short-circuit operation, where the photocurrent reaches its maximum value and remains relatively constant. The second is open-circuit operation, characterized by very low photocurrent values, where the voltage is at its maximum. The results of the study show a correlation between the angle of incidence of light and the performance of the cell. An increase in the angle of incidence leads to a significant decrease in the photocurrent module. This is logical, as a more oblique incidence reduces the amount of light absorbed by the cell. The study also reveals that the open-circuit operating point decreases slightly as the angle of incidence increases. In contrast, the gallium doping level has a more pronounced impact on the open-circuit operating point, suggesting a deeper influence on the internal properties of the material. Finally, the article uses electrical models to deduce the values of the cell's series and shunt resistances, based on the observed operating points. This analysis shows that both the angle of incidence and the gallium doping rate tend to increase these resistances. These increases can degrade cell performance by introducing energy losses, highlighting the importance of these two parameters in the design and optimization of CIGS solar cells.

Published in American Journal of Energy Engineering (Volume 13, Issue 3)
DOI 10.11648/j.ajee.20251303.16
Page(s) 150-157
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), 2025. Published by Science Publishing Group

Keywords

CIGS, Frequency Modulation, Wavelength, Incidence Angle, Gallium Doping Rate, Serie Resistance, Shunt Resistance

References
[1] Michael Powalla, Stefan Paetel, Dimitrios Hariskos al. «Advances in Cost‑Efficient Thin‑Film Photovoltaics Based on Cu(In, Ga)Se2» Engineering, Volume 3, Issue 4(2017), pages 445–451.
[2] Seung Hoon Lee, Hae Seok Lee, Donghwan Kim, Yoonmook Kang “The Diagnosis of Shunt Defects in CIGS Modules Using Lock-In Thermography: An Empirical Comparative Study” MDPI Energies, vol 16, no 21, (2023).
[3] N. Honma and C. Munakata, «Sample thickness dependence of minority carrier lifetimes measured using an ac photovoltaic method», Japan. J. Appl. Phys. 26, (1987) 2033-6.
[4] A. Dieng, I. Zerbo, M. Wade, A. S. Maiga et G. Sisoko, «Three-dimensional study of a polycrystalline silicon solar cell: the influence of the applied magnetic field on the elctrical parameters», Semicond. Sci. Technol. 26, (2011) pp: 5023-5032.
[5] J. N. Hollenhorst et G. Hasnain, «Frequency dependent whole diffusion in InGaAs double heterostructure» Appl. Phys. Lett, 65(15): (1995) 2203-2205.
[6] F. Ahmed et S. Garg, «simultaneous determination of diffusion length, lifetime and diffusion constant of minority carrier using a modulated beam» International Atomic Energy Agency. International centre for theorical physics. Internal report IC/86/129, 1987.
[7] J. Dugas, «3D modelling of a reverse cell made with improved multicrystalline silicon wafers». Solar Energy Materials and Solar Cells Volume 32. Issue 1, (January 1994). Pages 71-88.
[8] T. Flohr et R. Helbig, «Determination of minority-carrier lifetime and surface recombination velocity by Optical-Beam-Iduced-Current measurements at different light wavelengths» J. Appl. Phys. Vol. 66(7), (1989) pp 3060-3065.
[9] Sissoko, G., Museruka, C., Corréa, A., Gaye, I. and Ndiaye, A. L. (1996) Light Spectral Effect on Recombination Parameters of Silicon Solar Cell. World Renewable Energy Congress, Part III, 1487-1490.
[10] Morales-Acevedo «Effective absorption coefficient for graded band-gap semiconductors and the expected photocurrent density in solar cells». Solar Energy Materials & Solar Cells 93(2009) 41-44.
[11] S. Mbodji, B. Mbow, F. I. Barro et G. Sissoko, «A 3D model for thickness diffusion capacitance of emitter-base junction determination in a bifacial polycrystalline solar cell under real operating condition», Turk. J. Phys. 35 281-291, 2011.
[12] El-Adawi M. K. and Al-Nuaim I. A., “A method to determine the solar cell series resistance from a single I-V characteristic curve considering its shunt resistance – new approach,” Vacuum, 64, pp. 33- 36, 2002.
[13] I. ZERBO, F. I. BARRO, B. MBOW, A. DIAO, F. ZOUGMORE, G. SISSOKO “Theoretical Study of Bifacial Silicon Solar Cell Under Frequency Modulated White Light: Determination of Recombination Parameters”. Proceedings of the 19th European Photovoltaic Solar Energy Conference (2004), Poster 1AV.2.56, Paris, FRANCE.
[14] Johnathan Charles Armstrong, Jingbiao Cui «Optimization of solution-processed Cu(In, Ga)S2 by tuning series and shunt resistance» J. Mater. Res., Vol. 29, No. 11, Jun 14, 2014.
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    Sambou, G., Wade, I., Diallo, K., Niane, D., Dieng, M. (2025). Dynamic Frequency Study Under Monochromatic Illumination of the Photocurrent Density - Photovoltage Characteristic and the Series and Shunt Resistances of a Solar Cell Based on CIGS: Effects of the Angle of Incidence and the Doping Level of Gallium. American Journal of Energy Engineering, 13(3), 150-157. https://doi.org/10.11648/j.ajee.20251303.16

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    ACS Style

    Sambou, G.; Wade, I.; Diallo, K.; Niane, D.; Dieng, M. Dynamic Frequency Study Under Monochromatic Illumination of the Photocurrent Density - Photovoltage Characteristic and the Series and Shunt Resistances of a Solar Cell Based on CIGS: Effects of the Angle of Incidence and the Doping Level of Gallium. Am. J. Energy Eng. 2025, 13(3), 150-157. doi: 10.11648/j.ajee.20251303.16

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    AMA Style

    Sambou G, Wade I, Diallo K, Niane D, Dieng M. Dynamic Frequency Study Under Monochromatic Illumination of the Photocurrent Density - Photovoltage Characteristic and the Series and Shunt Resistances of a Solar Cell Based on CIGS: Effects of the Angle of Incidence and the Doping Level of Gallium. Am J Energy Eng. 2025;13(3):150-157. doi: 10.11648/j.ajee.20251303.16

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  • @article{10.11648/j.ajee.20251303.16,
      author = {Gerome Sambou and Ibrahima Wade and Khamissa Diallo and Djimba Niane and Moustapha Dieng},
      title = {Dynamic Frequency Study Under Monochromatic Illumination of the Photocurrent Density - Photovoltage Characteristic and the Series and Shunt Resistances of a Solar Cell Based on CIGS: Effects of the Angle of Incidence and the Doping Level of Gallium
    },
      journal = {American Journal of Energy Engineering},
      volume = {13},
      number = {3},
      pages = {150-157},
      doi = {10.11648/j.ajee.20251303.16},
      url = {https://doi.org/10.11648/j.ajee.20251303.16},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajee.20251303.16},
      abstract = {This article focuses on the analysis of a CIGS (copper, indium, gallium, selenide) solar cell using a dynamic frequency approach under monochromatic illumination. The main objective is to understand the behavior of the cell and identify the factors that influence its performance, particularly the angle of incidence of light and the gallium doping rate. The work begins with solving the differential equation that governs the dynamics of minority charge carriers within the cell. This solution provides an analytical expression for the density of these carriers, which is a crucial step in modeling the electrical behavior of the cell. From this carrier density, expressions for the photocurrent density and photovoltage are then derived. The study of the photocurrent-photovoltage characteristic, often referred to as the I-V (current-voltage) curve, is central to the analysis. This curve reveals two key operating points for the solar cell. The first is short-circuit operation, where the photocurrent reaches its maximum value and remains relatively constant. The second is open-circuit operation, characterized by very low photocurrent values, where the voltage is at its maximum. The results of the study show a correlation between the angle of incidence of light and the performance of the cell. An increase in the angle of incidence leads to a significant decrease in the photocurrent module. This is logical, as a more oblique incidence reduces the amount of light absorbed by the cell. The study also reveals that the open-circuit operating point decreases slightly as the angle of incidence increases. In contrast, the gallium doping level has a more pronounced impact on the open-circuit operating point, suggesting a deeper influence on the internal properties of the material. Finally, the article uses electrical models to deduce the values of the cell's series and shunt resistances, based on the observed operating points. This analysis shows that both the angle of incidence and the gallium doping rate tend to increase these resistances. These increases can degrade cell performance by introducing energy losses, highlighting the importance of these two parameters in the design and optimization of CIGS solar cells.
    },
     year = {2025}
    }
    

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  • TY  - JOUR
    T1  - Dynamic Frequency Study Under Monochromatic Illumination of the Photocurrent Density - Photovoltage Characteristic and the Series and Shunt Resistances of a Solar Cell Based on CIGS: Effects of the Angle of Incidence and the Doping Level of Gallium
    
    AU  - Gerome Sambou
    AU  - Ibrahima Wade
    AU  - Khamissa Diallo
    AU  - Djimba Niane
    AU  - Moustapha Dieng
    Y1  - 2025/09/15
    PY  - 2025
    N1  - https://doi.org/10.11648/j.ajee.20251303.16
    DO  - 10.11648/j.ajee.20251303.16
    T2  - American Journal of Energy Engineering
    JF  - American Journal of Energy Engineering
    JO  - American Journal of Energy Engineering
    SP  - 150
    EP  - 157
    PB  - Science Publishing Group
    SN  - 2329-163X
    UR  - https://doi.org/10.11648/j.ajee.20251303.16
    AB  - This article focuses on the analysis of a CIGS (copper, indium, gallium, selenide) solar cell using a dynamic frequency approach under monochromatic illumination. The main objective is to understand the behavior of the cell and identify the factors that influence its performance, particularly the angle of incidence of light and the gallium doping rate. The work begins with solving the differential equation that governs the dynamics of minority charge carriers within the cell. This solution provides an analytical expression for the density of these carriers, which is a crucial step in modeling the electrical behavior of the cell. From this carrier density, expressions for the photocurrent density and photovoltage are then derived. The study of the photocurrent-photovoltage characteristic, often referred to as the I-V (current-voltage) curve, is central to the analysis. This curve reveals two key operating points for the solar cell. The first is short-circuit operation, where the photocurrent reaches its maximum value and remains relatively constant. The second is open-circuit operation, characterized by very low photocurrent values, where the voltage is at its maximum. The results of the study show a correlation between the angle of incidence of light and the performance of the cell. An increase in the angle of incidence leads to a significant decrease in the photocurrent module. This is logical, as a more oblique incidence reduces the amount of light absorbed by the cell. The study also reveals that the open-circuit operating point decreases slightly as the angle of incidence increases. In contrast, the gallium doping level has a more pronounced impact on the open-circuit operating point, suggesting a deeper influence on the internal properties of the material. Finally, the article uses electrical models to deduce the values of the cell's series and shunt resistances, based on the observed operating points. This analysis shows that both the angle of incidence and the gallium doping rate tend to increase these resistances. These increases can degrade cell performance by introducing energy losses, highlighting the importance of these two parameters in the design and optimization of CIGS solar cells.
    
    VL  - 13
    IS  - 3
    ER  - 

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