Optimizing the Tilt Angle of Solar Panels by SQP Algorithm

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In present research we propose a nonlinear solving method to obtain the optimum tilt angle for solar panels. For this purpose, solar radiation on tilted panels are estimated by applying anisotropic model in Maple and the maximum is obtained by solving parametric nonlinear equations with Sequential Quadratic Programming (SQP) algorithm. Comparing its results with prevalent calculation proved this method faster and more efficient. The used model is validated by comparing results with measured data on a 45o-tilted surface in Tehran, Iran. Results showed solar radiation on a tilted surface increases 32% by monthly adjustments, in comparison with a fixed horizontal surface.

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Edited by:

Xiangdong Zhang, Hongnan Li, Xiating Feng and Zhihua Chen

Pages:

766-771

Citation:

M. Khademi et al., "Optimizing the Tilt Angle of Solar Panels by SQP Algorithm", Applied Mechanics and Materials, Vols. 253-255, pp. 766-771, 2013

Online since:

December 2012

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$38.00

[1] Liu, B.Y.H., Jordan, R.C. 1960. The interrelationship and characteristic distribution of direct, diffuse, and total solar radiation. Solar Energy 4: 1-19.

DOI: https://doi.org/10.1016/0038-092x(60)90062-1

[2] Badescu, V. 2002. 3D isotropic approximation for solar diffuse irradiance on tilted surfaces. Renewable Energy 26: 221-233.

DOI: https://doi.org/10.1016/s0960-1481(01)00123-9

[3] Temps, R. C., Coulson, K. L. 1977. Solar radiation incident upon slopes of different orientation. Solar Energy 19: 179-184.

DOI: https://doi.org/10.1016/0038-092x(77)90056-1

[4] Reindl, D. T., Beckman, W. A., Duffie, J. A. 1990. Evaluation of hourly tilted surface radiation models. Solar Energy 45: 9-17.

DOI: https://doi.org/10.1016/0038-092x(90)90061-g

[5] Noorian, A. M., Moradi, I., Gholam, A.K. 2008. Evaluation of 12 models to estimate hourly diffuse irradiation on inclined surfaces. Renewable Energy 33: 1406-1412.

DOI: https://doi.org/10.1016/j.renene.2007.06.027

[6] Posadillo, R., Lopez Luque, R. 2009. Evaluation of the performance of three diffuse hourly irradiation models on tilted surfaces according to utilizability concept, Energy Conversion and Management 50: 2324-2330.

DOI: https://doi.org/10.1016/j.enconman.2009.05.014

[7] Jafarkazemi, F., Saadabadi, S.A., Pasdarshahri, H. 2012. The optimum angle for flat-plane solar collectors, J. Renewable Sustainable Energy 4: 013118.

DOI: https://doi.org/10.1063/1.3688024

[8] Chang, T.P. 2008. Study on the optimal tilt angle of solar collector according to different radiation types. International Journal of Applied Science and Engineering 6: 151-161.

[9] Gomez-Gil, F.J., Wang, X., Barntt, A. 2012. Analysis and prediction of energy production in concentrating photovoltaic (CPV) installations. energies 5: 770-789.

DOI: https://doi.org/10.3390/en5030770

[10] Jafarkazemi, F., Saadabadi, S.A. 2012. Optimum tilt angle and orientation of solar surfaces in Abu Dhabi, UAE. The international conference on renewable energy: Generation and Applications. Al Ain, UAE 4-7 March.

DOI: https://doi.org/10.1016/j.renene.2012.10.036

[11] Ertekin, C., Evrendilek, F., Kulcu, R. 2008. Modeling spatio-temporal dynamics of optimum tilt angles. Sensors 8: 2913-2931.

DOI: https://doi.org/10.3390/s8052913

[12] Erbs, D. G., Klein, S. A., Duffie, J. A. 1982. Estimation of the diffuse radiation fraction for hourly, daily, and monthly-average global radiation. Solar Energy 28: 293-301.

DOI: https://doi.org/10.1016/0038-092x(82)90302-4

[13] Duffie, J.A., Beckman, W.A. 2006. Solar Engineering of Thermal Processes, 3rd ed. John Wiley: New York, USA 85-97.

[14] Schittkowski, K., Zillober, Ch. 2011. Nonlinear Programming. Department of Mathematics, University of Bayreuth, D-95440 Bayreuth, Germany.

[15] Jafarkazemi, F., Mardi, H., 2012, An investigation of solar radiation data is Islamic Azad University, South Tehran Branch weather station, Iranian Journal of Mechanical Engineering, 80: 68-75 (in Persian).

[16] Information on http: /www. irimo. ir, last visited 2012-03-20.

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