Single Diode Solar Cells—Improved Model and Exact Current–Voltage Analytical Solution Based on Lambert’s W Function
There are three standard equivalent circuit models of solar cells in the literature—single-diode, double-diode, and triple-diode models. In this paper, first, a modified version of the single diode model, called the Improved Single Diode Model (ISDM), is presented. This modification is realized by a...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/22/11/4173 |
| _version_ | 1797491617092861952 |
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| author | Muhyaddin Rawa Martin Calasan Abdullah Abusorrah Abdullah Ali Alhussainy Yusuf Al-Turki Ziad M. Ali Hatem Sindi Saad Mekhilef Shady H. E. Abdel Aleem Hussain Bassi |
| author_facet | Muhyaddin Rawa Martin Calasan Abdullah Abusorrah Abdullah Ali Alhussainy Yusuf Al-Turki Ziad M. Ali Hatem Sindi Saad Mekhilef Shady H. E. Abdel Aleem Hussain Bassi |
| author_sort | Muhyaddin Rawa |
| collection | DOAJ |
| description | There are three standard equivalent circuit models of solar cells in the literature—single-diode, double-diode, and triple-diode models. In this paper, first, a modified version of the single diode model, called the Improved Single Diode Model (ISDM), is presented. This modification is realized by adding resistance in series with the diode to enable better power loss dissipation representation. Second, the mathematical expression for the current–voltage relation of this circuit is derived in terms of Lambert’s W function and solved by using the special trans function theory. Third, a novel hybrid algorithm for solar cell parameters estimation is proposed. The proposed algorithm, called SA-MRFO, is used for the parameter estimation of the standard single diode and improved single diode models. The proposed model’s accuracy and the proposed algorithm’s efficiency are tested on a standard RTC France solar cell and SOLAREX module MSX 60. Furthermore, the experimental verification of the proposed circuit and the proposed solar cell parameter estimation algorithm on a solar laboratory module is also realized. Based on all the results obtained, it is shown that the proposed circuit significantly improves current–voltage solar cell representation in comparison with the standard single diode model and many results in the literature on the double diode and triple diode models. Additionally, it is shown that the proposed algorithm is effective and outperforms many literature algorithms in terms of accuracy and convergence speed. |
| first_indexed | 2024-03-10T00:51:52Z |
| format | Article |
| id | doaj.art-69d0c7b6b1f241a4b3e0e288074b8113 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-10T00:51:52Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-69d0c7b6b1f241a4b3e0e288074b81132023-11-23T14:49:47ZengMDPI AGSensors1424-82202022-05-012211417310.3390/s22114173Single Diode Solar Cells—Improved Model and Exact Current–Voltage Analytical Solution Based on Lambert’s W FunctionMuhyaddin Rawa0Martin Calasan1Abdullah Abusorrah2Abdullah Ali Alhussainy3Yusuf Al-Turki4Ziad M. Ali5Hatem Sindi6Saad Mekhilef7Shady H. E. Abdel Aleem8Hussain Bassi9Smart Grids Research Group, Center of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21589, Saudi ArabiaFaculty of Electrical Engineering, University of Montenegro, 81000 Podgorica, MontenegroSmart Grids Research Group, Center of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21589, Saudi ArabiaSmart Grids Research Group, Center of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21589, Saudi ArabiaSmart Grids Research Group, Center of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21589, Saudi ArabiaElectrical Engineering Department, College of Engineering, Prince Sattam bin Abdulaziz University, Wadi Addawaser 11991, Saudi ArabiaSmart Grids Research Group, Center of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21589, Saudi ArabiaSmart Grids Research Group, Center of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Electrical Engineering, Valley High Institute of Engineering and Technology, Science Valley Academy, Qalyubia 44971, EgyptSmart Grids Research Group, Center of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThere are three standard equivalent circuit models of solar cells in the literature—single-diode, double-diode, and triple-diode models. In this paper, first, a modified version of the single diode model, called the Improved Single Diode Model (ISDM), is presented. This modification is realized by adding resistance in series with the diode to enable better power loss dissipation representation. Second, the mathematical expression for the current–voltage relation of this circuit is derived in terms of Lambert’s W function and solved by using the special trans function theory. Third, a novel hybrid algorithm for solar cell parameters estimation is proposed. The proposed algorithm, called SA-MRFO, is used for the parameter estimation of the standard single diode and improved single diode models. The proposed model’s accuracy and the proposed algorithm’s efficiency are tested on a standard RTC France solar cell and SOLAREX module MSX 60. Furthermore, the experimental verification of the proposed circuit and the proposed solar cell parameter estimation algorithm on a solar laboratory module is also realized. Based on all the results obtained, it is shown that the proposed circuit significantly improves current–voltage solar cell representation in comparison with the standard single diode model and many results in the literature on the double diode and triple diode models. Additionally, it is shown that the proposed algorithm is effective and outperforms many literature algorithms in terms of accuracy and convergence speed.https://www.mdpi.com/1424-8220/22/11/4173Lambert’s W functionmathematical modelsoptimizationparameter estimationphotovoltaicssolar cells |
| spellingShingle | Muhyaddin Rawa Martin Calasan Abdullah Abusorrah Abdullah Ali Alhussainy Yusuf Al-Turki Ziad M. Ali Hatem Sindi Saad Mekhilef Shady H. E. Abdel Aleem Hussain Bassi Single Diode Solar Cells—Improved Model and Exact Current–Voltage Analytical Solution Based on Lambert’s W Function Sensors Lambert’s W function mathematical models optimization parameter estimation photovoltaics solar cells |
| title | Single Diode Solar Cells—Improved Model and Exact Current–Voltage Analytical Solution Based on Lambert’s W Function |
| title_full | Single Diode Solar Cells—Improved Model and Exact Current–Voltage Analytical Solution Based on Lambert’s W Function |
| title_fullStr | Single Diode Solar Cells—Improved Model and Exact Current–Voltage Analytical Solution Based on Lambert’s W Function |
| title_full_unstemmed | Single Diode Solar Cells—Improved Model and Exact Current–Voltage Analytical Solution Based on Lambert’s W Function |
| title_short | Single Diode Solar Cells—Improved Model and Exact Current–Voltage Analytical Solution Based on Lambert’s W Function |
| title_sort | single diode solar cells improved model and exact current voltage analytical solution based on lambert s w function |
| topic | Lambert’s W function mathematical models optimization parameter estimation photovoltaics solar cells |
| url | https://www.mdpi.com/1424-8220/22/11/4173 |
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