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Linearization of Photovoltaic Cell Single Diode Equivalent Circuit Model Using Piecewise Linear Parallel Branches Model and Findin Fill Factor

Yıl 2025, Cilt: 13 Sayı: 1, 266 - 285, 30.01.2025
https://doi.org/10.29130/dubited.1502554

Öz

In this article, the linearization and analysis of the Photovoltaic (PV) cell single diode equivalent circuit model have been performed. The diode element in the PV cell equivalent circuit model is a nonlinear component. The nonlinear PV cell single diode model has been linearized using the piecewise linear parallel branches model. In addition, the maximum power and fill factor (FF) of the PV cell have been determined based on the equivalent circuit parameters. Thevenin theorem was used in this analysis process. For this theorem to apply, the circuit must have a linear characteristic. The linearization of the nonlinear diode element has been achieved through the piecewise linear parallel branches model (PLPBM). In practice, the aim is to transfer the maximum power (Pmax) from the PV cell. Another important parameter of the PV solar cell is the FF. The FF is used to describe the general behavior of a solar PV cell. This factor is used to determine the quality of the solar PV cell. The FF provides information about the quality and efficiency of the solar cell. In a low FF scenario, the value of the series resistance is high, while the value of the parallel resistance is low. The FF of typical PV cells ranges between 50% and 82%. In the analysis conducted in the article, the FF of the PV solar cell was found to be 74%.

Kaynakça

  • [1] M. Niu et al., "Reliability Importance of Renewable Energy Sources to Overall Generating Systems," in IEEE Access, vol. 9, pp. 20450-20459, 2021, doi: 10.1109/ACCESS.2021.3055354
  • [2] J. Lee, Y.T. Yoon, and Lee, G.J. “Renewable Energy Sources: From Non-Dispatchable to Dispatchable, and Their Application for Power System Carbon Neutrality Considering System Reliability.” J. Electr. Eng. Technol. vol.19, no. 1, pp. 2015–2028, 2014, doi:10.1007/s42835-023-01669-8
  • [3] K. A. Munzer, K. T. Holdermann, R. E. Schlosser and S. Sterk, "Thin monocrystalline silicon solar cells," in IEEE Transactions on Electron Devices, vol. 46, no. 10, pp. 2055-2061, 1999, doi: 10.1109/16.791996.
  • [4] P. Sana, J. Salami and A. Rohatgi, "Fabrication and analysis of high-efficiency polycrystalline silicon solar cells," in IEEE Transactions on Electron Devices, vol. 40, no. 8, pp. 1461-1468, 1993, doi: 10.1109/16.223706
  • [5] N.N. Feng et al., "Design of Highly Efficient Light-Trapping Structures for Thin-Film Crystalline Silicon Solar Cells," in IEEE Transactions on Electron Devices, vol. 54, no. 8, pp. 1926-1933, 2007, doi: 10.1109/TED.2007.900976
  • [6] S. A. Moiz, A. N. M. Alahmadi and A. J. Aljohani, "Design of a Novel Lead-Free Perovskite Solar Cell for 17.83% Efficiency," in IEEE Access, vol. 9, pp. 54254-54263, 2021, doi: 10.1109/ACCESS.2021.3070112
  • [7] D. Liu et al., "Improved Efficiency of Organic Photovoltaic Cells by Incorporation of AuAg-Alloyed Nanoprisms," in IEEE Journal of Photovoltaics, vol. 7, no. 4, pp. 1036-1041, July 2017, doi: 10.1109/JPHOTOV.2017.2688578
  • [8] R.M. Swanson, “Approaching the 29% limit efficiency of silicon solar cells,” Conference Record of the Thirty-first IEEE Photovoltaic Specialists Conference, Lake Buena Vista, FL, USA, 2005, pp. 889-894, doi:10.1109/PVSC.2005.1488274
  • [9] I.M. Kirpichnikofva and I.B. Makhsumov, “The Influence of Ambient Temperature on the Energy Characteristics of Solar Modules,” 2020 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), Sochi, Russia, 2020, pp. 1-5 doi:10.1109/ICIEAM48468.2020.9112064
  • [10] S. Adak and H. Cangi, “Development software program for finding photovoltaic cell open-circuit voltage and fill factor based on the photovoltaic cell one-diode equivalent circuit model.” Electr Eng. vol. 106, pp. 1251–1264 , 2024, doi:10.1007/s00202-023-02082-0
  • [11] A. Al Tarabsheh, M. Akmal, and M. Ghazal, “Series Connected Photovoltaic Cells—Modelling and Analysis,” MPDI Sustainability, vol. 9. no. 3, pp.371-391, 2017, https://doi.org/10.3390/su9030371
  • [12] https://pv-manufacturing.org/solar-cell-manufacturing/pv-module-manufacturing/
  • [13] Z. Navabi et al “Modeling Timing Behavior of Logic Circuits Using Piecewise Linear Models,” International Conference on Computer Hardware Description Languages and their Applications–Chdl'93, Ottawa, Ontario, Canada, 1993, pp. 569-586, doi:10.1016/B978-0-444-81641-2.50046-0.
  • [14] Y.J. Wang and P.C. Hsu, “Modelling of solar cells and modules using piecewis linear parallel branches.” IET Renewable Power Generation, vol.5, no. 3, 2012, doi:10.1049/iet-rpg.2010.0134
  • [15] N. Dong and J. Roychowdhury, "Piecewise polynomial nonlinear model reduction," Proceedings 2003. Design Automation Conference (IEEE Cat. No.03CH37451), Anaheim, CA, USA, 2003, pp. 484-489, doi: 10.1145/775832.775957
  • [16] S. Adak, H. Cangi and A. S. Yilmaz, "Thevenin Equivalent of Solar PV Cell Model and Maximum Power Transfer," 2021 International Conference on Electrical, Communication, and Computer Engineering (ICECCE), Kuala Lumpur, Malaysia, 2021, pp. 1-5, doi:10.1109/ICECCE52056.2021.9514221
  • [17] A. Chatterjee and A. Keyhani, "Thevenin's equivalent of photovoltaic source models for MPPT and power grid studies," 2011 IEEE Power and Energy Society General Meeting, Detroit, MI, USA, 2011, pp. 1-7, doi: 10.1109/PES.2011.6039203
  • [18] J. Fan, S. Li, S. Liu, X. Deng and X. Zhu, “Maximum Power Point Tracking Constraint Conditions and Two Control Methods for Isolated Photovoltaic Systems.” MPDI Processes. 2023; vol.11, no.11:3245. https://doi.org/10.3390/pr11113245
  • [19] M. Patsalides, G. E. Georghiou, A. Stavrou and V. Efthymiou, "Thevenin equivalent circuit for the study of high photovoltaic penetration in distribution grids," IEEE PES ISGT Europe 2013, Lyngby, Denmark, 2013, pp. 1-5, doi:10.1109/ISGTEurope.2013.6695421
  • [20] Z. Batushansky and A. Kuperman, "Thevenin-based approach to PV arrays maximum power prediction," 2010 IEEE 26-th Convention of Electrical and Electronics Engineers in Israel, Eilat, Israel, 2010, pp. 000598-000602, doi:10.1109/EEEI.2010.5662149
  • [21] M.T. Ahmed, T. Gonçalves, and M. Tlemcani, “Single diode model parameters analysis of photovoltaic cell,” 2016 IEEE International Conference on Renewable Energy Research and Applications (ICRERA), Birmingham, UK, 2016, pp. 396-400, doi:10.1109/ICRERA.2016.7884368
  • [22] D.T. Cotfas et al “The methods to determine the series resistance and the ideality factor of diode for solar cells-review,” 2012 13th International Conference on Optimization of Electrical and Electronic Equipment (OPTIM), Brasov, Romania, 2012, pp. 966-972, doi:10.1109/OPTIM.2012.6231814
  • [23] P.S.M. Saad, M.Y. Bin Kasbudi, and Y. Hashim, “I-V and P-V Solar Cell Characteristics Simulation for a Single Diode Photovoltaic,” 2022 IEEE International Conference in Power Engineering Application (ICPEA), Shah Alam, Malaysia, 2022, pp.1-5, doi:10.1109/ICPEA53519.2022.9744703
  • [24] C. Y. Lai, C. Xiang and T. H. Lee, "Identification and control of nonlinear systems via piecewise affine approximation," 49th IEEE Conference on Decision and Control (CDC), Atlanta, GA, USA, 2010, pp. 6395-6402, doi: 10.1109/CDC.2010.5717032
  • [25] M. Azab, “Design approach and performance analysis of trap filter for three-phase PV grid integration systems using evolutionary search algorithms,” Journal of King Saud University - Engineering Sciences , vol. 33, no. 7, pp. 491-506, 2021, doi:10.1016/j.jksues.2020.06.002.
  • [26] R.H.G. Tan, P.L.J. Tai, and H. Mok, Dv, “Solar irradiance estimation based on photovoltaic module short circuit current measurement,” 2013 IEEE International Conference on Smart Instrumentation, Measurement and Applications (ICSIMA), Kuala Lumpur, Malaysia, 2013, pp. 1-4, doi:10.1109/ICSIMA.2013.671794
  • [27] Y. J. Wang and P. C. Hsu, “Analysis of Partially Shaded PV Modules Using Piecewise Linear Parallel Branches Model. ”International Journal of Electrical and Computer Engineering, 2009, vol. 3, no. 12, pp. 2354- 2360.

Linearization of Photovoltaic Cell Single Diode Equivalent Circuit Model Using Piecewise Linear Parallel Branches Model and Findin Fill Factor

Yıl 2025, Cilt: 13 Sayı: 1, 266 - 285, 30.01.2025
https://doi.org/10.29130/dubited.1502554

Öz

In this article, the linearization and analysis of the Photovoltaic (PV) cell single diode equivalent circuit model have been performed. The diode element in the PV cell equivalent circuit model is a nonlinear component. The nonlinear PV cell single diode model has been linearized using the piecewise linear parallel branches model. In addition, the maximum power and fill factor (FF) of the PV cell have been determined based on the equivalent circuit parameters. Thevenin theorem was used in this analysis process. For this theorem to apply, the circuit must have a linear characteristic. The linearization of the nonlinear diode element has been achieved through the piecewise linear parallel branches model (PLPBM). In practice, the aim is to transfer the maximum power (Pmax) from the PV cell. Another important parameter of the PV solar cell is the FF. The FF is used to describe the general behavior of a solar PV cell. This factor is used to determine the quality of the solar PV cell. The FF provides information about the quality and efficiency of the solar cell. In a low FF scenario, the value of the series resistance is high, while the value of the parallel resistance is low. The FF of typical PV cells ranges between 50% and 82%. In the analysis conducted in the article, the FF of the PV solar cell was found as 74%.

Kaynakça

  • [1] M. Niu et al., "Reliability Importance of Renewable Energy Sources to Overall Generating Systems," in IEEE Access, vol. 9, pp. 20450-20459, 2021, doi: 10.1109/ACCESS.2021.3055354
  • [2] J. Lee, Y.T. Yoon, and Lee, G.J. “Renewable Energy Sources: From Non-Dispatchable to Dispatchable, and Their Application for Power System Carbon Neutrality Considering System Reliability.” J. Electr. Eng. Technol. vol.19, no. 1, pp. 2015–2028, 2014, doi:10.1007/s42835-023-01669-8
  • [3] K. A. Munzer, K. T. Holdermann, R. E. Schlosser and S. Sterk, "Thin monocrystalline silicon solar cells," in IEEE Transactions on Electron Devices, vol. 46, no. 10, pp. 2055-2061, 1999, doi: 10.1109/16.791996.
  • [4] P. Sana, J. Salami and A. Rohatgi, "Fabrication and analysis of high-efficiency polycrystalline silicon solar cells," in IEEE Transactions on Electron Devices, vol. 40, no. 8, pp. 1461-1468, 1993, doi: 10.1109/16.223706
  • [5] N.N. Feng et al., "Design of Highly Efficient Light-Trapping Structures for Thin-Film Crystalline Silicon Solar Cells," in IEEE Transactions on Electron Devices, vol. 54, no. 8, pp. 1926-1933, 2007, doi: 10.1109/TED.2007.900976
  • [6] S. A. Moiz, A. N. M. Alahmadi and A. J. Aljohani, "Design of a Novel Lead-Free Perovskite Solar Cell for 17.83% Efficiency," in IEEE Access, vol. 9, pp. 54254-54263, 2021, doi: 10.1109/ACCESS.2021.3070112
  • [7] D. Liu et al., "Improved Efficiency of Organic Photovoltaic Cells by Incorporation of AuAg-Alloyed Nanoprisms," in IEEE Journal of Photovoltaics, vol. 7, no. 4, pp. 1036-1041, July 2017, doi: 10.1109/JPHOTOV.2017.2688578
  • [8] R.M. Swanson, “Approaching the 29% limit efficiency of silicon solar cells,” Conference Record of the Thirty-first IEEE Photovoltaic Specialists Conference, Lake Buena Vista, FL, USA, 2005, pp. 889-894, doi:10.1109/PVSC.2005.1488274
  • [9] I.M. Kirpichnikofva and I.B. Makhsumov, “The Influence of Ambient Temperature on the Energy Characteristics of Solar Modules,” 2020 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), Sochi, Russia, 2020, pp. 1-5 doi:10.1109/ICIEAM48468.2020.9112064
  • [10] S. Adak and H. Cangi, “Development software program for finding photovoltaic cell open-circuit voltage and fill factor based on the photovoltaic cell one-diode equivalent circuit model.” Electr Eng. vol. 106, pp. 1251–1264 , 2024, doi:10.1007/s00202-023-02082-0
  • [11] A. Al Tarabsheh, M. Akmal, and M. Ghazal, “Series Connected Photovoltaic Cells—Modelling and Analysis,” MPDI Sustainability, vol. 9. no. 3, pp.371-391, 2017, https://doi.org/10.3390/su9030371
  • [12] https://pv-manufacturing.org/solar-cell-manufacturing/pv-module-manufacturing/
  • [13] Z. Navabi et al “Modeling Timing Behavior of Logic Circuits Using Piecewise Linear Models,” International Conference on Computer Hardware Description Languages and their Applications–Chdl'93, Ottawa, Ontario, Canada, 1993, pp. 569-586, doi:10.1016/B978-0-444-81641-2.50046-0.
  • [14] Y.J. Wang and P.C. Hsu, “Modelling of solar cells and modules using piecewis linear parallel branches.” IET Renewable Power Generation, vol.5, no. 3, 2012, doi:10.1049/iet-rpg.2010.0134
  • [15] N. Dong and J. Roychowdhury, "Piecewise polynomial nonlinear model reduction," Proceedings 2003. Design Automation Conference (IEEE Cat. No.03CH37451), Anaheim, CA, USA, 2003, pp. 484-489, doi: 10.1145/775832.775957
  • [16] S. Adak, H. Cangi and A. S. Yilmaz, "Thevenin Equivalent of Solar PV Cell Model and Maximum Power Transfer," 2021 International Conference on Electrical, Communication, and Computer Engineering (ICECCE), Kuala Lumpur, Malaysia, 2021, pp. 1-5, doi:10.1109/ICECCE52056.2021.9514221
  • [17] A. Chatterjee and A. Keyhani, "Thevenin's equivalent of photovoltaic source models for MPPT and power grid studies," 2011 IEEE Power and Energy Society General Meeting, Detroit, MI, USA, 2011, pp. 1-7, doi: 10.1109/PES.2011.6039203
  • [18] J. Fan, S. Li, S. Liu, X. Deng and X. Zhu, “Maximum Power Point Tracking Constraint Conditions and Two Control Methods for Isolated Photovoltaic Systems.” MPDI Processes. 2023; vol.11, no.11:3245. https://doi.org/10.3390/pr11113245
  • [19] M. Patsalides, G. E. Georghiou, A. Stavrou and V. Efthymiou, "Thevenin equivalent circuit for the study of high photovoltaic penetration in distribution grids," IEEE PES ISGT Europe 2013, Lyngby, Denmark, 2013, pp. 1-5, doi:10.1109/ISGTEurope.2013.6695421
  • [20] Z. Batushansky and A. Kuperman, "Thevenin-based approach to PV arrays maximum power prediction," 2010 IEEE 26-th Convention of Electrical and Electronics Engineers in Israel, Eilat, Israel, 2010, pp. 000598-000602, doi:10.1109/EEEI.2010.5662149
  • [21] M.T. Ahmed, T. Gonçalves, and M. Tlemcani, “Single diode model parameters analysis of photovoltaic cell,” 2016 IEEE International Conference on Renewable Energy Research and Applications (ICRERA), Birmingham, UK, 2016, pp. 396-400, doi:10.1109/ICRERA.2016.7884368
  • [22] D.T. Cotfas et al “The methods to determine the series resistance and the ideality factor of diode for solar cells-review,” 2012 13th International Conference on Optimization of Electrical and Electronic Equipment (OPTIM), Brasov, Romania, 2012, pp. 966-972, doi:10.1109/OPTIM.2012.6231814
  • [23] P.S.M. Saad, M.Y. Bin Kasbudi, and Y. Hashim, “I-V and P-V Solar Cell Characteristics Simulation for a Single Diode Photovoltaic,” 2022 IEEE International Conference in Power Engineering Application (ICPEA), Shah Alam, Malaysia, 2022, pp.1-5, doi:10.1109/ICPEA53519.2022.9744703
  • [24] C. Y. Lai, C. Xiang and T. H. Lee, "Identification and control of nonlinear systems via piecewise affine approximation," 49th IEEE Conference on Decision and Control (CDC), Atlanta, GA, USA, 2010, pp. 6395-6402, doi: 10.1109/CDC.2010.5717032
  • [25] M. Azab, “Design approach and performance analysis of trap filter for three-phase PV grid integration systems using evolutionary search algorithms,” Journal of King Saud University - Engineering Sciences , vol. 33, no. 7, pp. 491-506, 2021, doi:10.1016/j.jksues.2020.06.002.
  • [26] R.H.G. Tan, P.L.J. Tai, and H. Mok, Dv, “Solar irradiance estimation based on photovoltaic module short circuit current measurement,” 2013 IEEE International Conference on Smart Instrumentation, Measurement and Applications (ICSIMA), Kuala Lumpur, Malaysia, 2013, pp. 1-4, doi:10.1109/ICSIMA.2013.671794
  • [27] Y. J. Wang and P. C. Hsu, “Analysis of Partially Shaded PV Modules Using Piecewise Linear Parallel Branches Model. ”International Journal of Electrical and Computer Engineering, 2009, vol. 3, no. 12, pp. 2354- 2360.
Toplam 27 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Fotovoltaik Güç Sistemleri
Bölüm Makaleler
Yazarlar

Suleyman Adak 0000-0003-1436-2830

Yayımlanma Tarihi 30 Ocak 2025
Gönderilme Tarihi 19 Haziran 2024
Kabul Tarihi 6 Ekim 2024
Yayımlandığı Sayı Yıl 2025 Cilt: 13 Sayı: 1

Kaynak Göster

APA Adak, S. (2025). Linearization of Photovoltaic Cell Single Diode Equivalent Circuit Model Using Piecewise Linear Parallel Branches Model and Findin Fill Factor. Duzce University Journal of Science and Technology, 13(1), 266-285. https://doi.org/10.29130/dubited.1502554
AMA Adak S. Linearization of Photovoltaic Cell Single Diode Equivalent Circuit Model Using Piecewise Linear Parallel Branches Model and Findin Fill Factor. DÜBİTED. Ocak 2025;13(1):266-285. doi:10.29130/dubited.1502554
Chicago Adak, Suleyman. “Linearization of Photovoltaic Cell Single Diode Equivalent Circuit Model Using Piecewise Linear Parallel Branches Model and Findin Fill Factor”. Duzce University Journal of Science and Technology 13, sy. 1 (Ocak 2025): 266-85. https://doi.org/10.29130/dubited.1502554.
EndNote Adak S (01 Ocak 2025) Linearization of Photovoltaic Cell Single Diode Equivalent Circuit Model Using Piecewise Linear Parallel Branches Model and Findin Fill Factor. Duzce University Journal of Science and Technology 13 1 266–285.
IEEE S. Adak, “Linearization of Photovoltaic Cell Single Diode Equivalent Circuit Model Using Piecewise Linear Parallel Branches Model and Findin Fill Factor”, DÜBİTED, c. 13, sy. 1, ss. 266–285, 2025, doi: 10.29130/dubited.1502554.
ISNAD Adak, Suleyman. “Linearization of Photovoltaic Cell Single Diode Equivalent Circuit Model Using Piecewise Linear Parallel Branches Model and Findin Fill Factor”. Duzce University Journal of Science and Technology 13/1 (Ocak 2025), 266-285. https://doi.org/10.29130/dubited.1502554.
JAMA Adak S. Linearization of Photovoltaic Cell Single Diode Equivalent Circuit Model Using Piecewise Linear Parallel Branches Model and Findin Fill Factor. DÜBİTED. 2025;13:266–285.
MLA Adak, Suleyman. “Linearization of Photovoltaic Cell Single Diode Equivalent Circuit Model Using Piecewise Linear Parallel Branches Model and Findin Fill Factor”. Duzce University Journal of Science and Technology, c. 13, sy. 1, 2025, ss. 266-85, doi:10.29130/dubited.1502554.
Vancouver Adak S. Linearization of Photovoltaic Cell Single Diode Equivalent Circuit Model Using Piecewise Linear Parallel Branches Model and Findin Fill Factor. DÜBİTED. 2025;13(1):266-85.