OPJ  Vol.4 No.8 , August 2014
New Approach to Modeling a Solar Cell in Relation to Its Efficiency—Laplace Transform Technique
Abstract: Heating a solar cell subjected to incident solar irradiance is studied. Laplace Integral Transform technique is applied to get the temperature field within the cell. The efficiency as a function of the cell temperature is estimated, and its variation with the local day time is thus clarified. Different cooling levels are considered. An illustrative example is given. The results show that the diurnal temperature variation of the cell is significant, while the efficiency is revealed to be a slowly varying function of temperature along the day time. It is revealed that as the temperature of the cell increases the efficiency decreases. Thus shading and cooling conditions may be useful to increase its efficiency.
Cite this paper: El-Adawi, M. and Al-Nuaim, I. (2014) New Approach to Modeling a Solar Cell in Relation to Its Efficiency—Laplace Transform Technique. Optics and Photonics Journal, 4, 219-227. doi: 10.4236/opj.2014.48022.

[1]   Joseph, J.W. and Paul, R. (1960) Effect of Temperature on Photovoltaic Solar Energy Conversion. Journal of Applied Physics, 31, 571-578.

[2]   Blakers, A.W. and Green, M.A. (1986) 20% Efficiency Silicon Solar Cells. Applied Physics Letters, 48, 20.

[3]   Olsen, L.C., Huber D.A., Dunham, G. and Addis, F. (1990) PC-ID Modeling of Depletion Layer Recombination in GaAs Solar Cells, IEEE, 1,415-419.

[4]   Verlinden, P.J., Swanson, R.M., Sinton, R.A., Crane R.A., Tilford, C., Perkins, J. and Garrison, K. (1993) High-Efficiency, Point-Contact Silicon Solar Cells for Fresnel Lens concentrator Modules, IEEE, 58-64.

[5]   Ray, K.P., Mullen, E.G. and Trumble, T.M. (1993) Results from the High Efficiency Solar Panel Experiment Flown on CREES. IEEE, Transactions on Nuclear Science, 40, 1505-1511.

[6]   Zhao, J., Wang, A., Altematt, P.P., Wenham, S.R. and Green, M.A. (1994) 24% Efficient Silicon Solar Cells. IEEE, 2, 1477-1480.

[7]   Verlinden, P.J., Swanson, R.M. and Crane, R.A. (1994) 7000 High-Efficiency Cells for a Dream. Progress in Photo Voltaics: Research and Applications, 2, 143-152.

[8]   Venkatasubramanian, R., Malta, D.P., Timmons, M.L., Posthill, J.B., Hutchby, J.A., Ahrekiet, A., Keyes, B. and Wangensteen, T. (1994) IEEE, 1692-1696.

[9]   Wettling, W. (1995) High Efficiency Silicon Solar Cells; State of the Art and Trends. Solar Energy Materials and Solar Cells, 38, 487-500.

[10]   Bouazzi, A.S., Abaab, M. and Rezig, B. (1997) A New Model of Very High Efficiency Buried Emitter Silicon Solar Cell. Solar Energy Materials and Solar Cells, 46, 29-41.

[11]   Yerokhov, V.Y., Melnyk, I.I. and Korovin, A.V. (1999) External Bias as the Factor of Efficiency Increase of Silicon MIS/IL Solar Cells. Solar Energy Materials and Solar Cells, 58, 225-236.

[12]   Luque, V.D. and del Valle, C.A. (1999) On the Effects of Tilted Light in a Global Prediction of AlGaAs/GaAs Solar Cell Performance. Solar Energy Materials and Solar Cells, 57, 313-322.

[13]   Luque, A. and Marti, A. (1999) Limiting Efficiency of Coupled Thermal and Photovoltaic Converters. Solar Energy Materials and Solar Cells, 58, 147-165.

[14]   Ferekides, C.S., Marinskiy, D., Viswanathan, V., Teltali, B., Palekis, V., Selvaraj, P. and Morel, D.L. (2000) High Efficiency CSS CdTe Solar Cells. Thin Solid Films, 361-362, 520-526.

[15]   Laugier, A. and Roger, J.A. (1994) Les Photopiles Solaires. Part 2, Charpter 8, Technique and Documentation, Paris.

[16]   Bouzek, K. and Kavan, L. (1999) Heat Losses in Gratzel Solar Cells. Solar Energy Materials and Solar Cells, 57, 359-371.

[17]   El-Adawi, M.K. and Al-Nuaim, I.A. (2007) The Temperature Functional Dependence of Voc for a Solar Cell in Relation to Its Efficiency-New Approach. Desalination, 209, 91-96.

[18]   El-Adawi, M.K. and Al-Shameri, N.S. (2012) The Efficiency of a p-n Solar Diode as a Function of the Recombination Velocity within the Depletion Layer. Optics and Photonics Journal, 2, 326-331.

[19]   El-Adawi, M.K. and Al-Shameri, N.S. (2012) The Efficiency of the Solar Converter as a Function of the Doping Degrees and the Incident Solar Spectral Photon Flux. Canadian Journal on Scientific and Industrial Research, 3, 112-122.

[20]   Markvart, T. (1994) Solar Electricity. Unesco Energy Series, Charpter 7, John Wiley & Sons Ltd., UK.

[21]   Stutenaumer, U., Negash, T. and Abdi, A. (1999) Performance of Small Scale Photovoltaic Systems and Their Potentials for Rural Electrification in Ethiopia. Renewable Energy, 18, 35-48.

[22]   El-Adawi, M.K. and Al-Nuaim, I.A. (2010) The Temperature Variation of a Solar Cell in Relation to Its Performance. Journal of Environmental Science & Engineering, 4, 56-59.

[23]   Green, M.A. (1982) Solar Cells: Operating Principles Technology and System Applications. Prentice-Hall, Englewood Cliffs.

[24]   Glunz, S.W. (2006) New Concepts for High-Efficiency Silicon Solar Cells. Solar Energy Materials & Solar Cells, 90, 3276-3284.

[25]   El-Adawi, M.K., Abdelnaby, M.A. and Shalaby, S.A. (1995) Laser Heating of a Two-Layer System with Constant Surface Absorption: An Exact Solution. International Journal of Heat and Mass Transfer, 38, 947-952.

[26]   El-Adawi, M.K. and Al-Nuaim, I.A. (2001) Prediction of Diurnal Global Solar Irradiance on a Horizontal Surface General Approach. Proceedings of the 1st Saudi Science Conference, KFUPM, Saudi Arabia, 9-11 April 2001, 16, 63-78.

[27]   Duffiee, J.A. and Beckman, W.A. (1974) Solar Energy Thermal Processes. John Wiley& Sons, New York.

[28]   El-Bar, O. (1983) Energy Balance over Slant Surfaces. M.Sc. Thesis, Faculty of Meteorology and Environmental Science, King Abdul Aziz University, Jeddah.

[29]   Spiegel, M.R. (1965) Laplace Transforms. Schaum’s Outline Series, McGraw-Hill, New York.

[30]   Exkert, E.R.G. and Drake, R.M. (1972) Analysis of Heat and Mars Transfer. International Student Edition, Ch. 4, McGraw-Hill, Tokyo, 179.

[31]   Bhattacharyya, A. and Streetman, B.G. (1981) Dynamics of Pulsed CO2 Laser Annealing of Silicon. Journal of Physics D: Applied Physics, 14, L67-L72.

[32]   Tiwari, G.N. and Suneja, S. (1997) Solar Thermal Engineering Systems. Narosa Publishing House, London.