A Compact Mathematical Modelling for Performance Evaluation of PV Module considering Single-Diode M odel

Ajay Kumar Singh; Lim Way Soong

doi:10.17485/IJST/v16i46.1400

Article

A Compact Mathematical Modelling for Performance Evaluation of PV Module considering Single-Diode M odel

VIEWS 275
PDF 66

Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i46.1400

Year: 2023, Volume: 16, Issue: 46, Pages: 4328-4338

Original Article

A Compact Mathematical Modelling for Performance Evaluation of PV Module considering Single-Diode M odel

Ajay Kumar Singh¹, Lim Way Soong^2*

¹Electronics and Communication Engineering, NIIT University, Neemarana, Alwar, Rajasthan, India
²Faculty of Engineering and Technology, Multimedia University, Melaka, Malaysia

*Corresponding Author
Email: [email protected]

Received Date:07 June 2023, Accepted Date:28 October 2023, Published Date:13 December 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objective: To develop closed-form relation between current and voltage of PV module based on single-diode equivalent circuit under valid approximation. Methods: The behaviour of PV module under various operational conditions can be easily and accurately determined when the intrinsic parameters like series resistance, shunt resistance, photo current and ideality factor are accurately modelled. Therefore, it is required to develop a mathematical model that must be compact and accurate to provide new insights into the electrical performance of the module faster. This paper presents a simple, compact, and precise mathematical model of these intrinsic parameters which enable high-speed and accurate predictions of the electrical characteristics of the commercially available PV module. Findings: The proposed model shows an excellent matching with experimental results only for V<Voc. Terminal current degrades and takes negative value when voltage is larger than Voc. The proposed model is applicable to Si-based crystalline and polycrystalline PV modules when Rs<1 Ω and V≤Voc. As series resistance increases, ideality factor takes negative value. This observation reflects that increase in Rs over years degrades the performance of the module. From analysis it was observed that larger open circuit voltage and short circuit current are desirable for larger photocurrent in PV module. Larger Ns results in lower series resistance which ultimately increases the terminal current and enhance the overall module performance whereas larger dark current reduces the terminal current which further degrades the performance of the cell. Novelty: The compact closed form of analytical validated model for current-voltage characteristics to predict the behavior of PV module accurately within limited computation time. The proposed models of five intrinsic parameters enable high-speed accurate prediction of the electrical characteristics of the commercial module.

Keywords: Solar Cell, Photo Voltaic Module, Mathematical Models, Standard Test Conditions, Single Diode Model

References

Ndegwa R, Ayieta E, Simiyu J, Odero N. A Simplified Simulation Procedure and Analysis of a Photovoltaic Solar System Using a Single Diode Model. Journal of Power and Energy Engineering. 2020;08(09):65–93. Available from: https://doi.org/10.4236/jpee.2020.89006
Senthilkumar S, Mohan V, Mangaiyarkarasi SP, Karthikeyan M. Analysis of Single-Diode PV Model and Optimized MPPT Model for Different Environmental Conditions. International Transactions on Electrical Energy Systems. 2022;2022:1–17. Available from: https://doi.org/10.1155/2022/4980843
Venkateswari R, Rajasekar N. Review on parameter estimation techniques of solar photovoltaic systems. International Transactions on Electrical Energy Systems. 2021;31(11):13113. Available from: https://doi.org/10.1002/2050-7038.13113
Samuel R, Fahim, Hany M, Hasanien RA, Turky, Shady HE, et al. A comphrensive Review of photovoltaic modules models and algorithms used in parameter extraction. Energies. 2022;p. 15. Available from: https://doi.org/10.3390/en15238941
Saadaoui D, Elyaqouti M, Assalaou K, Hmamou DB, Lidaighbi S, Arjdal EH, et al. Parameters Extraction of Single Diode and Double Diode Models Using Analytical and Numerical Approach: A Comparative Study. International Journal of Modelling and Simulation. 2023;p. 1–30. Available from: https://doi.org/10.1080/02286203.2023.2226285
Abdulrazzaq AK, Bognár G, Plesz B. Accurate method for PV solar cells and modules parameters extraction using I-V curves. Journal of King Saud University - Engineering Sciences. 2022;34(1):46–56. Available from: https://doi.org/10.1016/j.jksues.2020.07.008
Fahim SR, Hasanien HM, Turky RA, Aleem SHEA, Ćalasan M. A Comprehensive Review of Photovoltaic Modules Models and Algorithms Used in Parameter Extraction. Energies. 2022;15(23):8941. Available from: https://doi.org/10.3390/en15238941
Soto M, Diego L, Meza C. Validation of an outdoor efficiency model for photovoltaic modules. 2022. Available from: https://doi.org/10.17533/udea.redin.20220991
Gnetchejo PJ, Essiane SN, Dadjé AE, Ele P, Wapet DEM, Ngoffe SP, et al. A Self-adaptive Algorithm with Newton Raphson Method for Parameters Identification of Photovoltaic Modules and Array. Transactions on Electrical and Electronic Materials. 2021;22(6):869–888. Available from: https://doi.org/10.1007/s42341-021-00312-5
Suwanarat S, Phetphun P, Prabpal P, Yupapin P. Simple and efficient estimation of I–V photovoltaic using nonlinear curve fitting equivalent circuit model in Lambert W function form. Journal of Computational Electronics. 2022;21(3):666–674. Available from: https://doi.org/10.1007/s10825-022-01876-y
Raya-Armenta JM, Ortega PR, Bazmohammadi N, Sergiu V, Spataru JC, Vasquez JM, et al. An accurate physical model for PV modules with improved approximations of series-shunt resistances. IEEE Journal of Photovoltaics. 2021;p. 1–9. Available from: https://doi.org/10.1109/JPHOTOV.2021.3056668
Ndegwa R, Simiyu J, Ayieta E, Odero N. A Fast and Accurate Analytical Method for Parameter Determination of a Photovoltaic System Based on Manufacturer’s Data. Journal of Renewable Energy. 2020;2020:1–18. Available from: https://doi.org/10.1155/2020/7580279
Álvarez JM, Alfonso-Corcuera D, Roibás-Millán E, Cubas J, Cubero-Estalrrich J, Gonzalez-Estrada A, et al. Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior. Applied Sciences. 2021;11(9):4250. Available from: https://doi.org/10.3390/app11094250
Anani N, Ibrahim H. Performance Evaluation of Analytical Methods for Parameters Extraction of Photovoltaic Generators. Energies. 2020;13(18):4825. Available from: https://doi.org/10.3390/en13184825
Slavica M, Perovich MD, Djukanovic T, Dlabac D, Nikolic MP, Calasan. Concerning a novel mathematical approach to the solar cell junction ideality factor estimation. Applied Mathematical Modelling. 2015;39(12):3248–3264. Available from: https://doi.org/10.1016/j.apm.2014.11.026
Elkholy AA, El-Ela AAA. Optimal parameters estimation and modelling of photovoltaic modules using analytical method. Heliyon. 2019;5(7):e02137. Available from: https://doi.org/10.1016/j.heliyon.2019.e02137
WH, EO, AD, AA, MBH, LS. Improved PSO: A Comparative Study in MPPT Algorithm for PV System Control under Partial Shading Conditions. Energies. 2020;13:1–22. Available from: https://doi.org/10.3390/en13082035
Ndegwa R, Ayieta E, Simiyu J, Odero N. A Simplified Simulation Procedure and Analysis of a Photovoltaic Solar System Using a Single Diode Model. Journal of Power and Energy Engineering. 2020;08(09):65–93. Available from: https://doi.org/10.4236/jpee.2020.89006
Achouby HE, Zaimi M, Ibral A, Zegoudi O, Assaid EM. New analytical expressions of photovoltaic solar module physical parameters: Effects of module temperature and incident solar irradiance. IOP Conference Series: Materials Science and Engineering. 2020;948(1):012009. Available from: https://doi.org/10.1088/1757-899X/948/1/012009
Lidaighbi S, Elyaqouti M, Hmamou DB, Saadaoui D, Assalaou K, Arjdal E. A new hybrid method to estimate the single-diode model parameters of solar photovoltaic panel. Energy Conversion and Management: X. 2022;15:100234. Available from: https://doi.org/10.1016/j.ecmx.2022.100234
Patro SK, Saini RP. Mathematical modeling framework of a PV model using novel differential evolution algorithm. Solar Energy. 2020;211:210–226. Available from: https://doi.org/10.1016/j.solener.2020.09.065

Copyright

© 2023 Singh & Soong. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)