Published December 20, 2025 | Version v1
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DEVELOPMENT OF A REGRESSION MATHEMATICAL MODEL FOR DETERMINING THE THERMAL PERFORMANCE OF A PARABOLIC TROUGH SOLAR COLLECTOR

  • 1. Associate Professor, Department of Electronics and Instrument Engineering Fergana State Technical University
  • 2. Senior Lecturer, Department of Higher Mathematics Fergana State Technical University

Description

The article presents the development of a regression mathematical model designed to assess the thermal performance of a parabolic trough solar collector (PTC). The main factors included in the model are the density of the solar flux and the temperature of the coolant. The least squares method was used to build the model, which made it possible to minimize deviations between the measured and predicted values of thermal performance. The result of the work is a regression model that enables highly accurate prediction of the thermal power of the PTC in various climatic and operating conditions. The proposed model can be used to improve the accuracy of forecasts and optimize the operation of the PTC, enhancing its energy efficiency in the design and operation of solar PTCs.

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References

  • Y.A. Yusupov, et al. Automated Stand for Measuring Thermal and Energy Characteristics of Solar Parabolic Trough Concentrators. Appl. Sol. Energy, 57, pp. 216-222 (2021). doi: 10.3103/S0003701X21030117
  • Nurmamat Umaraliev, et al. Energy characteristics of linear focusing concentrator of solar radiation. E3S Web of Conferences 592, 01008 (2024) EMMFT-2024, https://doi.org/10.1051/e3sconf/202459201008.
  • Yo.A.Yusupov, at al. Development of an automated stand for measuring the thermal characteristics of solar parabolic trough collectors - International Journal of Sustainable and Green Energy. Vol. 10, No. 1, 2021, pp. 28-31. doi: 10.11648/j.ijrse.20211001.15
  • S.F. Ergashev, O.H. Otakulov, S.M. Abdurakhmonov, Y.A. Yusupov, Automated stand for measurements, registration and processing of results of energy characteristics of solar parabolocylindrical installations. Proceedings of the V International Conference "Optical and Photoelectric Phenomena in Semiconductor Micro- and Nanostructures", Fergana, 2020, pp. 363-366.
  • Y.A. Yusupov, O.H. Otakulov Mathematical model for calculating the thermal efficiency of a parabolocylindrical concentrator // Izvestiya Kyrgyz State Technical University named after I. Razzakov. - 2023. - № 2(66). - С. 1075-1087. - DOI 10.56634/16948335.2023.2.1075-1087. - EDN TXYSOI.
  • Ipsita Mishra, Pragyan Senapati, Mukundjee Pandey, Numerical validation of Parabolic Trough Collector: An approach to problem, Materials Today: Proceedings, 2023, ISSN 2214-7853, https://doi.org/10.1016/j.matpr.2023.10.050.
  • Bilal Lamrani, Ahmed Khouya, Belkacem Zeghmati, Abdeslam Draoui, Mathematical modeling and numerical simulation of a parabolic trough collector: A case study in thermal engineering, Thermal Science and Engineering Progress, Volume 8, 2018, Pages 47-54, ISSN 2451-9049, https://doi.org/10.1016/j.tsep.2018.07.015.
  • Ibtissam Bouarfa, Massaab El Ydrissi, Hamza El Hafdaoui, Mohamed Boujoudar, Abdelmajid Jamil, El Ghali Bennouna, Developing optical and thermal models with experimental validation of parabolic trough collector for moroccan industrial heat applications, Solar Energy Materials and Solar Cells, Volume 266, 2024, 112676, ISSN 0927-0248, https://doi.org/10.1016/j.solmat.2023.112676.
  • Ahmed Amine Hachicha, Bashria A.A. Yousef, Zafar Said, Ivette Rodríguez, A review study on the modeling of high-temperature solar thermal collector systems, Renewable and Sustainable Energy Reviews, Volume 112, 2019, Pages 280-298, ISSN 1364-0321, https://doi.org/10.1016/j.rser.2019.05.056.
  • O.H. Otaqulov, S.F. Ergashev, Y.A. Yusupov, Analysis of the optical and thermal characteristics of a solar parabolic cylindrical collector - Scientific-technical journal of FerPI, 2020, T.24, №6.
  • Y.A. Yusupov, O.H. Otakulov, S.F. Ergashev, Review of the current state of measurement of thermal and energy characteristics of parabolic cylindrical concentrators - Scientific-technical journal of FerPI, 2021, T.25, special No. 1.
  • Yusupov, Yo. (2023, October). Methods for measuring thermal and energy characteristics of parabolocylindrical concentrators. In Conference on Digital Innovation:" Modern Problems and Solutions".
  • Nigmatov, U., & Kuchkarov, A. (2024). Simulation of heat transfer process in absorber channels. In E3S Web of Conferences (Vol. 592, p. 03027). EDP Sciences, https://doi.org/10.1051/e3sconf/202459203027.