PERTANIKA JOURNAL OF SCIENCE AND TECHNOLOGY

 

e-ISSN 2231-8526
ISSN 0128-7680

Home / Pre-Press / JST-5213-2024

 

A Transfer Function Modelling Using System Identification for Air-cooling Photovoltaic System

Rozita Mustafa, Mohd Amran Mohd Radzi, Azura Che Soh1 and Hashim Hizam

Pertanika Journal of Science & Technology, Pre-Press

DOI: https://doi.org/10.47836/pjst.33.3.02

Keywords: Air-cooling PV system model, mathematical model, modelling, system identification, transfer function model

Published: 2025-03-26

Mathematical modelling is essential in comprehending, optimising, and administering air-cooling photovoltaic (PV) systems by considering factors like temperature, irradiance, and module characteristics. Mathematical modelling allows for informed decision-making, optimisation, and risk management in designing, operating, and maintaining air-cooling PV systems. This study creates mathematical models to identify an air-cooling PV system and anticipate the PV module’s output performance based on the solar irradiance received. The air-cooling PV system is modelled using the system identification toolbox, which relies on experiment data. The modelling process utilises a black-box approach, eliminating the necessity for internal parameter knowledge. The transfer function estimation method was selected as the best non-linear model due to its superior fit percentage. Prior to the installation of the air-cooling system, the data-driven analysis produced a continuous-time transfer function with an accuracy of 90% for the PV module model, whereas the air-cooling PV system model obtained an accuracy of 94.3%. The validity of the acquired models was assessed using Simulink by employing multiple levels of PSH. The model exhibits a failure rate of less than 10% in predicting inequality. The validation results for the PV module model were 90.1% and 90.8% for high, moderate, and low PSH, respectively. Similarly, the air-cooling PV system model got validation results of 91.7%, 93.2%, and 91.5%, while the mean output voltage increased by 10.8%, 17.5%, and 15.3%. Consequently, a continuous-time transfer function model is created, which will be utilised for developing and tuning controllers in future research.

  • Adak, S., Cangi, H., Eid, B., & Yilmaz, A. S. (2021). Developed analytical expression for current harmonic distortion of the PV system’s inverter in relation to the solar irradiance and temperature. Electrical Engineering, 103(1), 697–704. https://doi.org/10.1007/s00202-020-01110-7

    Adak, S., Cangi, H., Yilmaz, A. S., & Arifoglu, U. (2022). Development software program for extraction of photovoltaic cell equivalent circuit model parameters based on the Newton–Raphson method. Journal of Computational Electronics, 22(1), 413-422. https://doi.org/10.1007/s10825-022-01969-8

    Al Hadad, W., Maillet, D., & Jannot, Y. (2018). Experimental transfer functions identification: Thermal impedance and transmittance in a channel heated by an upstream unsteady volumetric heat source. International Journal of Heat and Mass Transfer, 116, 931–939. https://doi.org/10.1016/j.ijheatmasstransfer.2017.09.079

    Assani, N., Matic, P., & Kezic, D. (2022). Flow control process identification using Matlab’s system identification toolbox. In 2022 8th International Conference on Control, Decision and Information Technologies (CoDIT) (pp. 1228–1232). IEEE Publishing. https://doi.org/10.1109/CoDIT55151.2022.9803906

    Åström, K. J., & Eykhoff, P. (1971). System identification - A survey. Automatica, 7(2), 123–162. https://doi.org/10.1016/0005-1098(71)90059-8

    Bhuvaneswari, N. (2012). System identification and modeling for interacting and non-interacting tank systems using intelligent techniques. International Journal of Information Sciences and Techniques, 2(5), 23–37. https://doi.org/10.5121/ijist.2012.2503

    Cheng, Z., & Lu, Z. (2022). System response modeling of HMCVT for tractors and the comparative research on system identification methods. Computers and Electronics in Agriculture, 202, Article 107386. https://doi.org/10.1016/j.compag.2022.107386

    Donjaroennon, N., Nuchkum, S., & Leeton, U. (2021). Mathematical model construction of DC motor by closed-loop system Identification technique using Matlab/Simulink. In 2021 9th International Electrical Engineering Congress (IEECON) (pp. 289–292). IEEE Publishing. https://doi.org/10.1109/iEECON51072.2021.9440305

    Dorf, R., & Bishop, R. (2010). Modern control systems (12th ed.). Prentice-Hall Int.

    Dubey, S., Sarvaiya, J. N., & Seshadri, B. (2013). Temperature dependent photovoltaic (PV) efficiency and its effect on PV production in the world - A review. Energy Procedia, 33, 311–321. https://doi.org/10.1016/j.egypro.2013.05.072

    Egorova, T., Schmutz, W., Rozanov, E., Shapiro, A. I., Usoskin, I., Beer, J., Tagirov, R. V., & Peter, T. (2018). Revised historical solar irradiance forcing. Astronomy & Astrophysics, 615, Article A85. https://doi.org/10.1051/0004-6361/201731199

    Erol, H., Mahmut, U., & Kesilmiş, Z. (2021). Water cooled PV panel efficiency in Osmaniye environment. International Advanced Researches and Engineering Journal, 5(1), 008–013. https://doi.org/10.35860/iarej.787168

    Haidar, Z. A., Orfi, J., & Kaneesamkandi, Z. (2018). Experimental investigation of evaporative cooling for enhancing photovoltaic panels efficiency. Results in Physics, 11, 690–697. https://doi.org/10.1016/j.rinp.2018.10.016

    Ljung, L. (2012). System Identification ToolboxTM User’s Guide (5th ed.). The MathWorks Inc.

    Luboń, W., Pełka, G., Janowski, M., Pająk, L., Stefaniuk, M., Kotyza, J., & Reczek, P. (2020). Assessing the impact of water cooling on PV modules efficiency. Energies, 13(10), Article 2414. https://doi.org/10.3390/en13102414

    Mattei, M., Notton, G., Cristofari, C., Muselli, M., & Poggi, P. (2006). Calculation of the polycrystalline PV module temperature using a simple method of energy balance. Renewable Energy, 31(4), 553–567. https://doi.org/10.1016/j.renene.2005.03.010

    Mustafa, R., Radzi, M. A. M., Hizam, H., & Soh, A. C. (2024). An innovative air-cooling system for efficiency improvement of retrofitted rooftop photovoltaic module using cross-flow fan. International Journal of Renewable Energy Development, 13(2), 223–234. https://doi.org/10.61435/ijred.2024.60068

    Mustafa, R., Radzi, M. A. M., Hizam, H., & Soh, A. C. (2023). Solar insolation and PV module temperature impact on the actual grid connected solar photovoltaic system in German Malaysian Institute. In IOP Conference Series: Earth and Environmental Science (Vol. 1261, No. 1, p. 012001). IOP Publishing. https://doi.org/10.1088/1755-1315/1261/1/012001

    Popovici, C. G., Hudişteanu, S. V., Mateescu, T. D., & Cherecheş, N. C. (2016). Efficiency improvement of photovoltaic panels by using air cooled heat sinks. Energy Procedia, 85, 425–432. https://doi.org/10.1016/j.egypro.2015.12.223

    Rachad, S., Fouraiji, H., & Bensassi, B. (2014). Modeling a production system by parametric identification approach. In 2014 Second World Conference on Complex Systems (WCCS) (pp. 402-406). IEEE Publishing. https://doi.org/10.1109/ICoCS.2014.7060882

    Šajić, J. L., Langthaler, S., Schröttner, J., & Baumgartner, C. (2022). System identification and mathematical modeling of the pandemic spread COVID-19 in Serbia. IFAC-PapersOnLine, 55(4), 19–24. https://doi.org/10.1016/j.ifacol.2022.06.003

    Schoukens, J., Pintelon, R., & Rolain, Y. (2012). Mastering system identification in 100 exercises. John Wiley & Sons.

    Seleznyov, A. D., Solanki, S. K., & Krivova, N. A. (2011). Modelling solar irradiance variability on time scales from minutes to months. Astronomy & Astrophysics, 532, Article A108. https://doi.org/10.1051/0004-6361/200811138

    Sumalatha, A., & Rao, A. B. (2016). Novel method of system identification. In 2016 International Conference on Electrical, Electronics, and Optimization Techniques (ICEEOT) (pp. 2323-2328). IEEE Publishing. https://doi.org/10.1109/ICEEOT.2016.7755109

    Tawerghi, O., Arebi, Y., & Alnkeeb, A. (2021). Modeling a third order noninteracting liquid level tank system empirically and theoretically. In 2021 IEEE 1st International Maghreb Meeting of the Conference on Sciences and Techniques of Automatic Control and Computer Engineering MI-STA (pp. 198-203). IEEE Publishing. https://doi.org/10.1109/MI-STA52233.2021.9464379

    Tuhta, S. (2021). Using deep learning on system identification of the retaining wall model. EURAS Journal of Engineering and Applied Sciences, 2(2), 79–95. https://doi.org/10.17932/EJEAS.2021.024/ejeas_v02i2002

    Valousek, L., & Jalovecky, R. (2021). Use of the MATLAB® System Identification Toolbox® for the creation of specialized software for parameters identification. In 2021 International Conference on Military Technologies (ICMT) (pp. 1-5). IEEE Publishing. https://doi.org/10.1109/ICMT52455.2021.9502786

ISSN 0128-7702

e-ISSN 2231-8534

Article ID

JST-5213-2024

Download Full Article PDF

Share this article

Related Articles