THERMAL SCIENCE

International Scientific Journal

A THERMAL MODEL FOR OPEN-RACK MOUNTED PHOTOVOLTAIC MODULES BASED ON EMPIRICAL CORRELATIONS FOR NATURAL AND FORCED CONVECTION

ABSTRACT
This paper proposes a thermal model for calculating the temperature of open-rack mounted photovoltaic (PV) modules taking into account the meteorological conditions, position (i. e. the inclination of one PV module and the angle between its surface and wind direction) and technical characteristics of the PV modules. The present model is valid for the steady-state operation and is based on the energy balance equation in which the forced convection is modelled by the new empirical correlations. The possibility of occurrence of the flow separation along the surfaces of the PV modules is included in these correlations. The effect of the angle between the wind direction and the PV module plane, which is usually ignored in the modelling of forced convection, is also taken into consideration. In this manner, it is possible to estimate the temperature of PV modules more precisely, as well as to determine the power and efficiency which depend on the temperature. For four particular PV modules, it is found that the temperatures, obtained using the proposed thermal model, are in good agreement with the corresponding measured temperatures. Compared with the other models commonly used for thermal analysis of PV modules (SNL and NOCT-based correlations), this model yielded better results. The deviation of the PV module temperature calculated using the proposed thermal model from the measured one is up to 2°C, and the deviations of the PV module temperatures calculated using the SNL and NOCT-based correlations from the measured ones amount up to 5°C and 20°C, respectively, depending on the PV module type and ambient conditions. [Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. TR33046]
KEYWORDS
PAPER SUBMITTED: 2018-05-12
PAPER REVISED: 2019-01-07
PAPER ACCEPTED: 2019-01-12
PUBLISHED ONLINE: 2019-02-17
DOI REFERENCE: https://doi.org/10.2298/TSCI180512020P
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 6, PAGES [3551 - 3566]
REFERENCES
  1. World Energy Resources 2016 - Solar, World Energy Council, London, UK, 2016, www.worldenergy.org/publications/2016/world-energy-resources-2016/
  2. Skoplaki, E., et al., A simple correlation for the operating temperature of photovoltaic modules of arbitrary mounting,Solar Energy Materials and Solar Cells, 92(2008), 11, pp. 1393-1402
  3. Grubišić-Čabo, Fet al., Photovoltaic Panels: A Review of the Cooling Techniques, Transactions of FAMENA, 40(2016), SI-1, pp. 63-74
  4. Davis, M. W., et al., Prediction of building integrated photovoltaic cell temperatures,Journal of Solar Energy Engineering, 123(2001), 3, pp. 200-210
  5. King, D. L., et al., Photovoltaic array performance model, Sandia Report SAND2004-3535, Unlimited Release, Sandia National Laboratories, USA, 2004
  6. Jakhrani, A. Q., et al., Comparison of solar photovoltaic module temperature models, World Applied Sciences Journal, 14(2011), pp. 1-8
  7. Denoix, T., et al., Experimental comparison of photovoltaic panel operating cell temperature models, Proceedings of the IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society, Dallas, TX, USA, October 29-November 1, 2014, pp. 2089-2095.
  8. Kaplani, E., Kaplanis, S., Thermal modelling and experimental assessment of the dependence of PV module temperature on wind velocity and direction, module orientation and inclination,Solar Energy, 107(2014), pp. 443-460
  9. Perović, B. D., et al., Modeling the effect of the inclination angle on natural convection from a flat plate: the case of a photovoltaic module, Thermal Science, 21(2017), 2, pp. 925-938
  10. Fuentes M. K., A simplified thermal model for flat-plate photovoltaic arrays, Sandia Report SAND85-0330, Unlimited Release, Sandia National Laboratories, USA, 1987
  11. Palyvos, J. A., A survey of wind convection coefficient correlations for building envelope energy systems' modeling,Applied Thermal Engineering, 28(2008), 8-9, pp. 801-808
  12. Perović, B. D., Modelling the effect of the inclination angle on the efficiency of photovoltaic modules using empirical correlations, Ph.D. thesis, University of Priština in Kosovska Mitrovica, 2018, pr.ac.rs/wp-content/uploads/2018/01/bojan_perovic_dd.pdf
  13. Sam, R. G., et al., An experimental study of flow over a rectangular body,Journal of Fluids Engineering, 101(1979), 4, pp. 443-448
  14. Holman, J. P., Heat transfer, 8th edition, McGraw-Hill, New York, USA, 1997
  15. Kendoush, A. A.,Theoretical analysis of heat and mass transfer to fluids flowing across a flat plate, International Journal of Thermal Sciences, 48(2009), 1, pp. 188-194
  16. Churchill, S. W., A comprehensive correlating equation for forced convection from flat plates, AIChE Journal, 22(1976), 2, pp. 264-268
  17. Vasant, P. M.,Meta-heuristics optimization algorithms in engineering, business, economics, and finance, Information Science Reference, an imprint of IGI Global, Hershey, PA, USA, 2013
  18. Onur, N., Forced convection heat transfer from a flat-plate model collector on roof of a model house,Heat and Mass Transfer, 28(1993), 3, pp. 141-145
  19. Turgut, O., Onur, N.,Three dimensional numerical and experimental study of forced convection heat transfer on solar collector surface,International Communications in Heat and Mass Transfer, 36(2009), 3, pp. 274-279
  20. Kind, R. J., et al., Convective heat losses from flat-plate solar collectors in turbulent winds,Journal of Solar Energy Engineering, 105(1983), 1, pp. 80-85
  21. Sparrow, E. M., et al., Effect of finite width on heat transfer and fluid flow about an inclined rectangular plate, Journal of Heat Transfer, 101(1979), 2, pp. 199-204
  22. Shakerin, S.,Wind-related heat transfer coefficient for flat-plate solar collectors, Journal of Solar Energy Engineering, 109(1987), 2, pp. 108-110
  23. Francey, J. L., Papaioannou, J.,Wind-related heat losses of a flat-plate collector,Solar Energy, 35(1985), 1, pp. 15-19
  24. Motwani, D. G., et al., Heat transfer from rectangular plates inclined at different angles of attack and yaw to an air stream, Journal of Heat Transfer,107(1985), 2, pp. 307-312
  25. Jayamaha, S. E. G., et al., Measurement of the heat transfer coefficient for walls, Building and Environment, 31(1996), 5, pp. 399-407
  26. Sartori, E.,Convection coefficient equations for forced air flow over flat surfaces, Solar Energy, 80(2006), 9, pp. 1063-1071
  27. Incropera, F. P., et al., Fundamentals of heat and mass transfer, 6th edition, John Wiley & Sons Inc., New Jersey, USA, 2007
  28. Nižetić, S., et al., Experimental and numerical investigation of a backside convective cooling mechanism on photovoltaic panels, Energy, 111(2016), pp. 211-225
  29. Kouadri Boudjelthia, E. A., et al., Role of the wind speed in the evolution of the temperature of the PV module: Comparison of prediction models, Revue des Energies Renouvelables, 19(2016), 1, pp. 119-126
  30. Palacio Vega, M. A., et al., Estimation of the surface temperature of a photovoltaic panel through a radiation-natural convection heat transfer model in MATLAB Simulink,Proceedings of the ASME 2016 International Mechanical Engineering Congress and Exposition - IMECE2016, Phoenix, AZ, USA, November 11-17, 2016, pp. 1-8

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence