Iterative Root-Finding Algorithm for Accurate Parameter Extraction of Solar Photovoltaic Cells

Abstract

The performance of photovoltaic models depends significantly on the accuracy of their parameters, which are determined by the chosen method and objective function. Extracting these parameters accurately under different environmental conditions is essential to enhance reliability, accuracy, and minimize system costs. In this research, a novel technique is proposed for extracting the electrical parameters of the solar cell single diode model, including saturation current, serial resistance, parallel resistance, and ideality factor. To overcome the challenges posed by the chaotic behavior of the I-V curve equation, an improved Iterative Root-Finding algorithm is introduced. This algorithm acts as an optimization tool, increasing the likelihood of obtaining highly accurate solutions by minimizing the quadratic error between experimental and theoretical characteristics in a shorter time frame. The numerical and experimental results demonstrate the effectiveness of this approach in solar module modeling, showing squared errors approaching zero. This study opens new possibilities for improving the accuracy and reliability of photovoltaic models, leading to more efficient solar energy systems.

Keywords

• Parameters extraction
• Root-finding algorithm
• Single diode model
• Solar cells

References

1. [1] Russo, M.A., Carvalho, D., Martins, N., Monteiro, A., “Forecasting the inevitable: A review on the impacts of climate change on renewable energy resources”, Sustainable Energy Technologies and Assessments, 52, 102283, (2022). DOI: 10.1016/J.SETA.2022.102283.
2. [2] AlHajri, M.F., El-Naggar, K.M., AlRashidi, M.R., Al-Othman, A.K., “Optimal extraction of solar cell parameters using pattern search”, Renewable Energy, 44: 238-245, (2012). DOI: 10.1016/j.renene.2012.01.082
3. [3] Hejri, M., Mokhtari, H., Azizian, M.R., Ghandhari, M., Söder, L., “On the parameter extraction of a five-parameter double-diode model of photovoltaic cells and modules”, IEEE Journal of Photovoltaics, 4(3): 915-923, 6756936, (2014). DOI: 10.1109/JPHOTOV.2014.2307161
4. [4] Abbassi, A., Ben Mehrez, R., Touaiti, B., Abualigah, L., Touti, E., “Parameterization of photovoltaic solar cell double-diode model based on improved arithmetic optimization algorithm”, Optik, 253, 168600, (2022). DOI: 10.1016/J.IJLEO.2022.168600
5. [5] Tifidat, K., Maouhoub, N., Benahmida, A., Ezzahra Ait Salah, F., “An accurate approach for modeling I-V characteristics of photovoltaic generators based on the two-diode model”, Energy Conversion and Management: X, 14, 100205, (2022). DOI: 10.1016/J.ECMX.2022.100205
6. [6] Barth, N., Jovanovic, R., Ahzi, S., Khaleel, M. A., “PV panel single and double diode models: Optimization of the parameters and temperature dependence”, Solar Energy Materials and Solar Cells, 148:87–98, (2016). DOI: 10.1016/J.SOLMAT.2015.09.003
7. [7] Oh, C.-H., Go, S.-I., Choi, J.-H., Ahn, S.-J., Yun, S.-Y., “Voltage estimation method for power distribution networks using high-precision measurements”, Energies, 13(9): 2385, 2020. DOI: 10.3390/en13092385
8. [8] Ye, K., Zhao, J., Zhang, Y., Liu, X., Zhang, H., “A generalized computationally efficient copula-polynomial chaos framework for probabilistic power flow considering nonlinear correlations of PV injections”, International Journal of Electrical Power & Energy Systems, 136, 107727, (2022). DOI: 10.1016/J.IJEPES.2021.107727

9. [9] Nazir, R., Kanada, K., Syafii, Coveria, P., “Optimization active and reactive power flow for PV connected to grid system using Newton Raphson method”, Energy Procedia, 68: 77–86, (2015). DOI: 10.1016/J.EGYPRO.2015.03.235
10. [10] Grisales-Noreña, L.F., Rosales-Muñoz, A.A., Cortés-Caicedo, B., Montoya, O.D., Andrade, F., “Optimal operation of PV sources in DC grids for improving technical, economical, and environmental conditions by using vortex search algorithm and a matrix hourly power flow”, Mathematics, 11(1): 93, (2023). DOI: 10.3390/math11010093
11. [11] Rasheed, M., Al-Darraji, M.N., Shihab, S., Rashid, A., Rashid, T., “Solar PV Modelling and Parameter Extraction Using Iterative Algorithms”, Journal of Physics: Conference Series, 1963(1): 012059, (2021). DOI: 10.1088/1742-6596/1963/1/012059
12. [12] Vais, R.I., Sahay, K., Chiranjeevi, T., Devarapalli, R., Knypiński, Ł., “Parameter Extraction of Solar Photovoltaic Modules Using a Novel Bio-Inspired Swarm Intelligence Optimisation Algorithm”,Sustainability (Switzerland), 15(10): 8407, (2023). DOI: 10.3390/su15108407
13. [13] Belabbes, F., Cotfas, D.T., Cotfas, P.A., Medles, M., “Using the snake optimization metaheuristic algorithms to extract the photovoltaic cells parameters”, Energy Conversion and Management, 292, 117373, (2023). DOI: 10.1016/j.enconman.2023.117373
14. [14] Gu, Z., Xiong, G., Fu, X., Mohamed, A. W., Al-Betar, M. A., Chen, H., Chen, J., “Extracting accurate parameters of photovoltaic cell models via elite learning adaptive differential evolution”, Energy Conversion and Management, 285, 116994, (2023). DOI: 10.1016/j.enconman.2023.116994
15. [15] Abdel-Basset, M., El-Shahat, D., Sallam, K.M., Munasinghe, K., “Parameter extraction of photovoltaic models using a memory-based improved gorilla troops optimizer”, Energy Conversion and Management, 252, 115134, (2022). DOI: 10.1016/j.enconman.2021.115134
16. [16] Tan, W.-H., Mohamad-Saleh, J., “Modified normative fish swarm algorithm for optimizing power extraction in photovoltaic systems”, Evolutionary Intelligence, 16(4): 1135-1154, (2023). DOI: 10.1007/s12065-022-00724-z
17. [17] He, P., Xi, X., Li, S., Qin, W., Xing, C., “Radial basis function based meta-heuristic algorithms for parameter extraction of photovoltaic cell”, Processes, 11(6): 1606, (2023). DOI: 10.3390/pr11061606
18. [18] Ayyarao, T.S.L.V., Kishore, G.I., “Parameter estimation of solar PV models with artificial humming bird optimization algorithm using various objective functions”, Soft Computing, (2023). DOI: 10.1007/s00500-023-08630-x
19. [19] Mohammed Ridha, H., Hizam, H., Mirjalili, S., Othman, M. L., Ya’acob, M. E., Ahmadipour, M., “Novel parameter extraction for Single, Double, and three diodes photovoltaic models based on robust adaptive arithmetic optimization algorithm and adaptive damping method of Berndt-Hall-Hall-Hausman”, Solar Energy, 243: 35–61, (2022). DOI: 10.1016/J.SOLENER.2022.07.029
20. [20] Díaz, S.R., “A generalized theoretical approach for solar cells fill factors by using Shockley diode model and Lambert W-function: A review comparing theory and experimental data”, Physica B: Condensed Matter, 624, 413427, (2022). DOI: 10.1016/J.PHYSB.2021.413427
21. [21] Asbayou, A., Soussi, A., Isknan, I., Aamoume, A., El Fanaoui, A., Ihlal, A., Bouhouch, L., “Method using simple RLC circuit for electrical characterization of PV panels”, Materials Today: Proceedings, 58: 1033-1038, (2022). DOI: 10.1016/J.MATPR.2022.01.034
22. [22] Kalliojärvi-Viljakainen, H., Lappalainen, K., Valkealahti, S., “A novel procedure for identifying the parameters of the single-diode model and the operating conditions of a photovoltaic module from measured current–voltage curves”, Energy Reports, 8: 4633–4640, (2022). DOI: 10.1016/J.EGYR.2022.03.141
23. [23] Paci, B., Generosi, A., Rossi Albertini, V., Perfetti, P., de Bettignies, R., Sentein, C., “Photo-degradation and stabilization effects in operating organic photovoltaic devices by joint photo-current and morphological monitoring”, Solar Energy Materials and Solar Cells, 92(7): 799–804, (2008). DOI: 10.1016/J.SOLMAT.2008.02.019
24. [24] Ridha, H. M., Hizam, H., Mirjalili, S., Othman, M. L., Ya’acob, M. E., Ahmadipour, M., “Parameter extraction of single, double, and three diodes photovoltaic model based on guaranteed convergence arithmetic optimization algorithm and modified third order Newton Raphson methods”, Renewable and Sustainable Energy Reviews, 162, 112436, (2022). DOI: 10.1016/J.RSER.2022.112436
25. [25] Tao, Y., Bai, J., Pachauri, R.K., Sharma, A., “Parameter extraction of photovoltaic modules using a heuristic iterative algorithm”, Energy Conversion and Management, 224, 113386, (2020). DOI: 10.1016/j.enconman.2020.113386
26. [26] Xu, J., Zhou, C., Li, W., “Photovoltaic single diode model parameter extraction by dI/dV-assisted deterministic method”, Solar Energy, 251: 30-38, (2023). DOI: 10.1016/j.solener.2023.01.009
27. [27] Meng, Z., Zhao, Y., Tang, S., Sun, Y., “An efficient datasheet-based parameters extraction method for two-diode photovoltaic cell and cells model”, Renewable Energy, 153: 1174-1182, (2020). DOI: 10.1016/j.renene.2020.02.084
28. [28] Düzenli̇, T., Kutlu Onay, F., Aydemi̇r, S.B., “Improved honey badger algorithms for parameter extraction in photovoltaic models”, Optik, 268, 169731, (2022). DOI: 10.1016/j.ijleo.2022.169731
29. [29] Ram, J.P., Babu, T.S., Dragicevic, T., Rajasekar, N., “A new hybrid bee pollinator flower pollination algorithm for solar PV parameter estimation”, Energy Conversion and Management, 135: 463-476, (2017). DOI: 10.1016/j.enconman.2016.12.082