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## Review of Parameter extraction methods for single-diode model of solar cell

Xiao Wen-Bo, Liu Wei-Qing, Wu Hua-Ming, Zhang Hua-Ming
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• #### 摘要

近年来，太阳电池参数提取方法获得了广泛关注.原因在于匹配的电池参数，可以有效减少内外因素对光伏阵列发电效率的影响.本文以太阳电池单二极管模型为讨论对象，对其五个参数的提取方法进行了详细介绍；对目前典型的四类太阳电池参数提取方法（即解析提取参数方法，借助朗伯W函数函数提取参数方法，构建或利用特殊函数提取参数方法，利用智能算法提取参数方法）进行归纳与总结.阐述了这些方法的主要理论与实现途径，更重要的是对它们的优缺点进行了探讨.最后，对参数提取未来的研究动态进行了展望，以期对参数提取方法提供一些思路，为国内同行开展相关研究提供一些帮助.

#### Abstract

In recent years, the parameter extraction methods of solar cell have attracted a lot of research attention. The reason is that the matching solar cell parameters can effectively reduce the influences of internal and external factors on photovoltaic efficiencies. In this paper, the five-parameter extraction methods of solar cell single-diode model are discussed in detail. The five parameters are the photocurrent, the reverse diode saturation current, the ideality factor of diode, the series resistance, and the shunt resistance. In fact, the existing research methods are classified as four categories, namely, analytically extracting parameter methods, extracting parameter methods with the help of Lambert W function, constructing or using special functions to extract parameter methods, and using intelligent algorithm to extract parameter methods. In this article, we not only elaborate their main theories and approaches, but also discuss their advantages and disadvantages. The main conclusion is that the analytical method for the extraction of solar cell model parameters requires some assumptions. Therefore, this method is fast but less accurate due to various approximations. In addition, the parameter extraction using the analytical method needs a thorough calculation, and deducing the actual values of (dI/dV)|V=Voc and (dI/dV)|I=Isc and peak power point is also challenging. When the five parameters of solar cell are calculated using the Lambert W-function method, the results show that the extraction process is easier when using the consecrated software such as MATLAB, but the larger computational time is needed. Generally, the Lambert-W function provides the exact explicit expression for parameter extraction. As a result, the accuracy of approximate solution using Lambert-W function is much higher than that of the above method. It is obvious that the accuracy of using special functions to extract cell parameters is limited by those function characteristics. Of course, those special functions, such as Green's function, seem to be complex approaches. The accuracy of the extracting cell parameters by using intelligent algorithm strongly depends on the type of fitting algorithm, the fitting criterion, objective function and the starting values of the parameters. Finally, based on the conducted review, the future research trend of parameter extraction is also predicted

#### 作者及机构信息

###### 通信作者: 肖文波, xiaowenbo1570@163.com
• 基金项目: 国家自然科学基金（批准号：11264031）、江西省青年科学基金重大项目（批准号：20143ACB21011）、航空科学基金（批准号：2017ZC56003，20162856004）、无损检测技术教育部重点实验室基金（批准号：ZD201629004）、江西省自然科学基金（批准号：20151BAB207054）和南昌航空大学研究生创新专项基金（批准号：YC2017051）资助的课题.

#### Authors and contacts

###### Corresponding author: Xiao Wen-Bo, xiaowenbo1570@163.com
• Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11264031), Jiangxi Province Science Major Program for Youths, China (Grant No. 20143ACB21011), Aeronautical Science Foundation of China (Grant Nos. 2017ZC56003, 20162856004), the Open Fund of the Key Laboratory of Nondestructive Testing of Ministry of Education, China (Grant No. ZD201629004), the Natural Science Foundation of Jiangxi Province, China (Grant No. 20151BAB207054), and the Special Fund of Nanchang Hangkong University Graduate, China (Grant No. YC2017051).

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#### 施引文献

•  [1] Shah A, Torres P, Tscharner R, Wyrsch N, Keppner H 1999 Science 258 692 [2] Goetzberger A, Luther J, Willeke G 2002 Sol. Energ. Mater. Sol. Cells 74 1 [3] Nelson J 2003 The Physics of Solar Cells (London:Imperial College Press) pp1-39 [4] Wenham S R, Green M A, Watt M E, Corkish R, Sproul A 2011 Applied Photovaltaics (3rd Ed.) (New York:Earthscan) pp69-84 [5] Askarzadeh A, Rezazadeh A 2013 Appl. Energ. 102 943 [6] Kim W, Choi W 2010 Sol. Energy 84 1008 [7] Caracciolo F, Dallago E, Finarelli D, Liberale A, Merhej P 2012 IEEE J. Photovolt. 2 173 [8] Jordehi A 2016 Renew. Sust. Energ. Rev. 61 354 [9] Li H I L, Ye Z, Ye J, Yang D, Du H 2015 Renew. Energ. 76 135 [10] Gow J A, Manning C D 1996 6th International Conference on Power Electronics and Variable Speed Drives Nottingham, United Kingdom, September 23-25, 1996 p69 [11] Nishioka K, Sakitani N, Uraoka Y, Fuyuki T 2007 Sol. Energ. Mater. Sol. Cells 91 1222 [12] Bana S, Saini R 2016 Energy Reports 2 171 [13] Khanna V, Das B, Bisht D, Singh P 2015 Renew. Energ. 78 105 [14] Shockley W 1949 Bell Labs Tech. J. 28 435 [15] Kammer D, Ludington M 1977 Am. J. Phys. 45 602 [16] Pan B, Weng J, Chen S, Huang Y, Dai S 2014 J. Phys. D:Appl. Phys. 47 475503 [17] Soto W, Klein S, Beckman W 2006 Sol. Energy 80 78 [18] Ortiz-Conde A, Garcia Sanchez F J, Muci J 2006 Sol. Energ. Mater. Sol. Cells 90 352 [19] Amit J, Sharma S, Kapoor A 2006 Sol. Energ. Mater. Sol. Cells 90 25 [20] Villalva M, Gazoli J, Filho E 2009 IEEE Trans. Power Electr. 94 1198 [21] Gottschalg R, Rommel M, Infield D G, Kearney M J 1999 Meas. Sci. Technol. 10 796 [22] Chegaar M, Ouennoughi Z, Guechi F 2004 Vacuum 75 367 [23] Haouari-Merbah M, Belhamel M, Tobias I, Ruiz J M 2005 Sol. Energ. Mater. Sol. Cells 87 225 [24] Askarzadeh A, Rezazadeh A 2013 Sol. Energy 90 123 [25] Siddiqui M, Abido M 2013 Appl. Soft Comput. 13 4608 [26] Ishaque K, Salam Z 2011 Sol. Energy 85 2349 [27] Dkhichi F, Oukarfi B, Fakkar A, Belbounaguia N 2014 Sol. Energy 110 781 [28] Chan D, Phillips J, Phang J 1986 Solid State Electron. 29 329 [29] Ishibashi K, Kimura Y, Niwano M 2008 J. Appl. Phys. 103 455 [30] Batzelis E, Papathanassiou A 2016 IEEE Trans. Sustain. Energ. 7 504 [31] Chenni R, Makhlouf M, Kerbache T, Bouzid A 2007 Energy 32 1724 [32] Lun S, Du C, Yang G, Wang S, Guo T 2013 Sol. Energy 92 147 [33] Ouennoughi Z, Chegaar M 1999 Solid State Electron. 43 1985 [34] Sze S M, Kwok K N 2007 Physics of Semiconductor Devices (3rd Ed.) (Hoboken:John Wiley Sons) pp663-743 [35] Easwarakhanthan T, Bottin J, Bouhouch I, Boutrit C 1986 Int. J. Solar Energy 4 1 [36] Chegaar M, Ouennoughi Z, Hoffmann A 2001 Solid State Electron. 45 293 [37] Rasool F, Drieberg M, Badruddin N, Singh B S M 2017 Sol. Energy 153 519 [38] Chouder A, Silvestre S, Sadaoui N, Rahmani L 2012 Simul. Model. Pract. Th. 20 46 [39] Rahman S, Varma R, Vanderheide T 2014 IET Renew. Power Gen. 8 217 [40] Dolara, A, Leva S, Manzolini G 2015 Sol. Energy 119 83 [41] Jain A, Kapoor A 2004 Sol. Energ. Mater. Sol. Cells 81 269 [42] Zhang C, Zhang J, Hao Y, Lin Z, Zhu C 2011 J. Appl. Phys. 110 199 [43] Khan F, Singh S, Husain M 2010 Sol. Energ. Mat. Sol. C. 94 1473 [44] Ghani F, Rosengarten G, Duke M, Carson J 2014 Renew. Energ. 72 105 [45] Carrero C, Rodriguez J, Ramirez D, Platero C 2010 Renew. Energ. 35 1103 [46] Xiao W B, Liu M M, Yan C 2017 J. Nanoelectron. Optoelec. 12 189 [47] Chen Y, Wang X, Li D, Hong R, Shen H 2011 Appl. Energ. 88 2239 [48] Peng L L, Sun Y Z, Meng Z, Wang Y L, Xu Y 2013 J. Power Sources 227 131 [49] Saleem H, Karmalkar S 2009 IEEE Electr. Device Lett. 30 349 [50] Karmalkar S, Saleem H 2011 Sol. Energ. Mater. Sol. Cells 95 1076 [51] Singh N, Jain A, Kapoor A 2009 Sol. Energ. Mater. Sol. Cells 93 1423 [52] Perovich S M, Simic S K, Tosic D V, Bauk S I 2007 Appl. Math. Lett. 20 493 [53] Charles J P, Abdelkrim M, Muoy Y H, Mialhe P 1981 Solar Cells 4 169 [54] Jain A, Kapoor A 2005 Sol. Energ. Mater. Sol. Cells 85 391 [55] Dash D P, Roshan R, Mahata S, Mallik S, Mahato S S 2015 J, Renew. Sustain. Ener. 7 950 [56] Mallick S P, Dash D P, Mallik S, Roshan R, Mahata S 2017 Sol. Energy 153 360 [57] Akbaba M, Aiattawi M 1995 Sol. Energ. Mater. Sol. Cells 37 123 [58] Cavassilas N, Michelini F, Bescond M 2014 J. Renew. Sustain. Ener. 6 65 [59] Ma T, Yang H, Lu L 2014 Sol. Energy 100 31 [60] Bellia H, Youcef R, Fatima M 2014 NRIAG J. A. G. 3 53 [61] Bonkoungou D, Koalaga Z, Njomo D, Zougmore F 2015 Int. J. Current Engineer. Technol. 5 3735 [62] Jervase J, Bourdoucen H, Al-Lawati A 2001 Meas. Sci. Technol. 12 1922 [63] Sellai A, Ouennoughi Z 2005 Int. J. Mod. Phys. C 16 1043 [64] Patel Sanjaykumar J, Panchal Ashish K, Kheraj V 2013 J. Nano-Electro. Phys. 5 02008 [65] Sellami A, Zagrouba M, Bouacha M, Bessas B 2007 Meas. Sci. Technol. 18 1472 [66] Zagrouba M, Sellami A, Bouacha M, Ksouri M 2010 Sol. Energy 84 860 [67] Gaing Z L 2003 IEEE Trans. Power Syst. 18 1187 [68] Macabebe E, Sheppard C, Dyk E 2011 Sol. Energy 85 12 [69] Munji M K, Okullo W, Dyk E, Vorster F 2010 Sol. Energ. Mater. Sol. Cells 94 2129 [70] Ye M, Wang X, Xu Y 2009 J. Appl. Phys. 105 1948 [71] Alhajri M, El-Naggar K, Al-Rashidi M, Al-Othman A 2012 Renew. Energ. 44 238 [72] Rao R V, Savsani V J, Vakharia D P 2011 Comput. Aided Design 43 303 [73] Patel S, Panchal A, Kheraj V 2014 Appl. Energ. 119 384 [74] Singh K, Kho K, Rita S 2014 Int. J. Computat. Sci. Appl. 4 101 [75] Laudani A, Lozito G, Fulginei F, Salvini A 2015 Int. J. Photoenergy 205 1 [76] Laudani A, Fulginei F, Salvini A, Lozito G, Coco S 2014 Int. J. Photoenergy 204 1 [77] Rajasekar N, Kumar N, Venugopalan R 2013 Sol. Energy 97 255 [78] Guo L, Meng Z, Sun Y, Wang L 2016 Energ. Convers. Manage. 108 520 [79] Ma J, Bi Z, Ting T, Hao S, Hao W 2016 Sol. Energy 132 606 [80] Humada A, Hojabri M, Mekhilef S, Hamada H 2016 Renew. Sust. Energ. Rev. 56 494 [81] Boutana N, Mellit A, Lughi V, Pavan A 2017 Energy 122 128 [82] Bana S, Saini R 2017 Renew. Energ. 101 1299
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##### 出版历程
• 收稿日期:  2018-05-26
• 修回日期:  2018-06-25
• 刊出日期:  2018-10-05

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