Current-voltage curves of planar heterojunction perovskite solar cells – Novel expressions based on Lambert W function and Special Trans Function Theory

Introduction: At the present time, much attention has been focused on new types of solar cells, called perovskite solar cells. They are highly efficient devices with more than 25% power conversion efficiency. However, perovskite solar cell performance has not yet been fully explored. Objectives: We...

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Main Authors: Muhyaddin Rawa, Yusuf Al-Turki, Hatem Sindi, Martin Ćalasan, Ziad M. Ali, Shady H.E. Abdel Aleem
Format: Article
Language:English
Published: Elsevier 2023-02-01
Series:Journal of Advanced Research
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090123222000790
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author Muhyaddin Rawa
Yusuf Al-Turki
Hatem Sindi
Martin Ćalasan
Ziad M. Ali
Shady H.E. Abdel Aleem
author_facet Muhyaddin Rawa
Yusuf Al-Turki
Hatem Sindi
Martin Ćalasan
Ziad M. Ali
Shady H.E. Abdel Aleem
author_sort Muhyaddin Rawa
collection DOAJ
description Introduction: At the present time, much attention has been focused on new types of solar cells, called perovskite solar cells. They are highly efficient devices with more than 25% power conversion efficiency. However, perovskite solar cell performance has not yet been fully explored. Objectives: We aimed to mathematically investigate the analytical modeling of current–voltage curves of planar heterojunction perovskite solar cells using Perovich Special Trans Function Theory (STFT). Furthermore, we proposed novel analytical closed-form solutions for short-circuit current and open-circuit voltage of these cells in terms of STFT. We evaluated the safety for laying the theoretical foundation by comparing the accuracy of the proposed expressions by the known methods. Methods: A novel hybrid metaheuristic algorithm, called particle swarm optimization (PSO) – evaporation rate water cycle algorithm (ERWCA), is proposed to determine equivalent circuit parameters of the perovskite solar cell. A novel objective function is introduced for estimating the parameters for that purpose too. Results: It was shown that STFT is very applicable and efficient for representing current–voltage expressions of perovskite solar cells. STFT provides a more accurate solution and requires fewer order members than the solutions provided by the conventional Taylor series. Based on these expressions and numerical calculations, it is verified that the characteristic values ​​of variables (short-circuit current, no-load voltage, efficiency, and fill factor) were not accurately calculated in the literature. Also, parameters of equivalent circuits of these cells were not accurately estimated. The equivalent circuit parameters were determined using the algorithm proposed in this work, which fit the verified values ​​of characteristic quantities much better than the literature. Conclusion: This work lays the foundation for developing the planar-structured perovskite solar cell models, in which the proposed estimation method and expressions are highly effective and provide excellent results.
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spelling doaj.art-6e6ba9f29f6940c08615b2c5c381e0852023-02-01T04:25:38ZengElsevierJournal of Advanced Research2090-12322023-02-014491108Current-voltage curves of planar heterojunction perovskite solar cells – Novel expressions based on Lambert W function and Special Trans Function TheoryMuhyaddin Rawa0Yusuf Al-Turki1Hatem Sindi2Martin Ćalasan3Ziad M. Ali4Shady H.E. Abdel Aleem5Center of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Electrical and Computer Engineering, Faculty of Engineering, K. A. CARE Energy Research and Innovation Center, Jeddah 21589, Saudi ArabiaCenter of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Electrical and Computer Engineering, Faculty of Engineering, K. A. CARE Energy Research and Innovation Center, Jeddah 21589, Saudi ArabiaCenter of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Electrical and Computer Engineering, Faculty of Engineering, K. A. CARE Energy Research and Innovation Center, Jeddah 21589, Saudi ArabiaFaculty of Electrical Engineering, University of Montenegro, Montenegro; Corresponding author.Center of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Electrical Engineering Department, College of Engineering at Wadi Addawaser, Prince Sattam Bin Abdulaziz University, Saudi Arabia; Electrical Engineering Department, Aswan Faculty of Engineering, Aswan University, EgyptCenter of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Electrical Engineering Department, Valley High Institute of Engineering and Technology, Science Valley Academy, Qalyubia, EgyptIntroduction: At the present time, much attention has been focused on new types of solar cells, called perovskite solar cells. They are highly efficient devices with more than 25% power conversion efficiency. However, perovskite solar cell performance has not yet been fully explored. Objectives: We aimed to mathematically investigate the analytical modeling of current–voltage curves of planar heterojunction perovskite solar cells using Perovich Special Trans Function Theory (STFT). Furthermore, we proposed novel analytical closed-form solutions for short-circuit current and open-circuit voltage of these cells in terms of STFT. We evaluated the safety for laying the theoretical foundation by comparing the accuracy of the proposed expressions by the known methods. Methods: A novel hybrid metaheuristic algorithm, called particle swarm optimization (PSO) – evaporation rate water cycle algorithm (ERWCA), is proposed to determine equivalent circuit parameters of the perovskite solar cell. A novel objective function is introduced for estimating the parameters for that purpose too. Results: It was shown that STFT is very applicable and efficient for representing current–voltage expressions of perovskite solar cells. STFT provides a more accurate solution and requires fewer order members than the solutions provided by the conventional Taylor series. Based on these expressions and numerical calculations, it is verified that the characteristic values ​​of variables (short-circuit current, no-load voltage, efficiency, and fill factor) were not accurately calculated in the literature. Also, parameters of equivalent circuits of these cells were not accurately estimated. The equivalent circuit parameters were determined using the algorithm proposed in this work, which fit the verified values ​​of characteristic quantities much better than the literature. Conclusion: This work lays the foundation for developing the planar-structured perovskite solar cell models, in which the proposed estimation method and expressions are highly effective and provide excellent results.http://www.sciencedirect.com/science/article/pii/S2090123222000790Applied mathematicsCurrent-voltage curvesLambert WOptimizationParameters estimationPerovskite solar cells
spellingShingle Muhyaddin Rawa
Yusuf Al-Turki
Hatem Sindi
Martin Ćalasan
Ziad M. Ali
Shady H.E. Abdel Aleem
Current-voltage curves of planar heterojunction perovskite solar cells – Novel expressions based on Lambert W function and Special Trans Function Theory
Journal of Advanced Research
Applied mathematics
Current-voltage curves
Lambert W
Optimization
Parameters estimation
Perovskite solar cells
title Current-voltage curves of planar heterojunction perovskite solar cells – Novel expressions based on Lambert W function and Special Trans Function Theory
title_full Current-voltage curves of planar heterojunction perovskite solar cells – Novel expressions based on Lambert W function and Special Trans Function Theory
title_fullStr Current-voltage curves of planar heterojunction perovskite solar cells – Novel expressions based on Lambert W function and Special Trans Function Theory
title_full_unstemmed Current-voltage curves of planar heterojunction perovskite solar cells – Novel expressions based on Lambert W function and Special Trans Function Theory
title_short Current-voltage curves of planar heterojunction perovskite solar cells – Novel expressions based on Lambert W function and Special Trans Function Theory
title_sort current voltage curves of planar heterojunction perovskite solar cells novel expressions based on lambert w function and special trans function theory
topic Applied mathematics
Current-voltage curves
Lambert W
Optimization
Parameters estimation
Perovskite solar cells
url http://www.sciencedirect.com/science/article/pii/S2090123222000790
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