Selection of an Optimum Configuration of Solar PV Array under Partial Shaded Condition Using Particle Swarm Optimization

Authors: R. Ramaprabha

Abstract:

This paper presents an extraction of maximum energy from Solar Photovoltaic Array (SPVA) under partial shaded conditions by optimum selection of array size using Particle Swarm Optimization (PSO) technique. In this paper a detailed study on the output reduction of different SPVA configurations under partial shaded conditions have been carried out. A generalized MATLAB M-code based software model has been used for any required array size, configuration, shading patterns and number of bypass diodes. Comparative study has been carried out on different configurations by testing several shading scenarios. While the number of shading patterns and the rate of change are very low for stationary SPVA but these may be quite large for SPVA mounted on a mobile platforms. This paper presents the suitability of PSO technique to select optimum configuration for mobile arrays by calculating the global peak (GP) of different configurations and to transfer maximum power to the load.

Keywords: Global peak, Mobile PV arrays, Partial shading, optimization, PSO.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1336913

References:

[1] V. Quaschningand R. Hanitsch, "Numerical simulation of current–voltage characteristics of photovoltaic systems with shaded solar cells”, Solar Energy, Vol. 56, No. 6, pp. 513–520, 1996.
[2] M. Wolf and H. Rauschenbach, "Advanced Energy Conversation”, No.3, p.455, 1963.
[3] J. A. Gow and C. D. Manning, "Development of a photovoltaic array model for use in power-electronics simulation studies”, IEEE Proc. Electr. Power Appl., Vol. 146, No.2, pp.193-200, 1999.
[4] H. Kawamura, K. Naka, N. Yonekura, S. Yamanaka, H. Kawamura, H. Ohna, and K. Naito, "Simulation of I–V characteristics of a PV module with shaded PV cells”, Solar Energy Materials and Solar Cells 75, 613–621, 2003.
[5] E. E. V. Dyk, E. L. Meyer, F. J. Vorster and A. W. R. Leitch, "Long-term monitoring of photovoltaic devices”, Renewable Energy 25, 183– 197, 2002.
[6] D. Weinstock and J. Appelbaum, "Shadow Variation on Photovoltaic Collectors in a Solar Field”, in the proc. of 23rd IEEE Convention of Electrical and Electronics Engineers, pp. 354–357, 2004.
[7] A. Woyte, J. Nijsand R. Belmans, "Partial shadowing of photo voltaic arrays with different system configurations: literature review and field test results”, Solar Energy74, pp 217-233, 2003.
[8] N. D. Kaushikaand N. K. Gautam, "Energy yield simulations of interconnected solar PV arrays”, IEEE Transactions on Energy Conversion, Vol. 18, No.1, pp 127-134, 2003.
[9] A. W. Y. Ho and S. R. Wenham, "Intelligent strategies for minimizing mismatch losses in photovoltaic modules and systems”, in the proc. of 17th European Photovoltaic Solar Energy Conference and Exhibition, Munich-Germany, 2001.
[10] Hans. S. Rauschenbach, "Electrical output of Shadowed Solar Arrays”, IEEE Transactions on Electron Devices, Vol. 18, No. 8, pp 483-490, 1971.
[11] M. C. Alonso-García, J. M. Ruiz and W. Herrmann, "Computer simulation of shading effects in photovoltaic arrays”, Renewable Energy, Vol. 31, No. 12,pp 1986-1993, 2006.
[12] M. C. Alonso-García, J. M. Ruiz and F. Chenlo, "Experimental study of mismatch and shading effects in the I-V characteristic of a photovoltaic module”, Solar Energy Materials & Solar Cells 90,pp 329– 340, 2006.
[13] Engin Karatepe, Mutlu Boztepe and Metin Colak., "Development of suitable model for characterizing photovoltaic arrays with shaded solar cells”, Solar Energy, pp 329-340, 2007.
[14] R. Ramaprabha and B. L. Mathur, "Effect of Shading on Series and Parallel Connected Solar PV Modules”, Journal of Modern Applied Science, pp 32-41, 2009.
[15] C. Gonzalez and R. Weaver, "Circuit design considerations for photovoltaic modules and systems,” in Proc. 14thIEEE Photovolt. Spec. conf., pp. 528–535, 1980.
[16] N. F. Shephard and R. S. Sugimura, "The integration of bypass diode with terrestrial photovoltaic modules and arrays,” in Proc. 17thIEEEPhotovolt. Spec. Conf., pp. 676, 1984.
[17] R. Ramaprabhaand B. L. Mathur, "A Comprehensive Review and Analysis of Solar Photovoltaic Array Configurations under Partial Shaded Conditions”, International Journal of Photo energy, Special Issue on Recent Developments in Solar Energy Harvesting and Photo catalysis, Vol. 2012, pp 1-16, Feb 2012.
[18] N. Kasa, T. Lida and L. Chen, "Flyback inverter controlled by sensorless current MPPT for photovoltaic power system” , IEEE Transactions on Industrial Electronics, Vol. 52, No.4 , pp 1145–1152, 2005.
[19] N. Femia, G. Petrone, G. Spagnuolo, and M.Vitelli, "Optimization of perturb and observe maximum power point tracking method” ,IEEE Transaction on Power Electronics, Vol. 20, No. 4, pp 963–973, 2005.
[20] M. Veerachary, "Power tracking for non-linear PV sources with coupled inductor SEPIC converter”, IEEE Transactions on Aerospace and Electronic Systems 41 (3), pp 1019–1029, 2005.
[21] Joung Hu Park, Jun-YounAhn, Bo-HyungCho and Gwon-Jong Yu, "Dual module based maximum power point tracking control of photovoltaic systems”, IEEE Transactions on Industrial Electronics, Vol. 53, No. 4, pp 1036–1047, 2006
[22] E. V. Solodovnik, S. Liu and R. A. Dougal, "Power controller design for maximum power point tracking in solar insolations”, IEEE Transactions on Power Electronics, Vol. 19, No. 5, pp 1295–1304, 2004.
[23] K. Kobayashi, I. Takano, and Y. Sawada, "A study on a two stage maximum power point tracking control of a photovoltaic system under partially shaded insolation conditions”, Proceedings of the IEEE Power Engineering Society General Meeting, vol. 4,pp. 2612–2617, 2003.
[24] A. Kajihara and T. Harakawa, "On considerations of equivalent model about PV cell under partial shading”, Proceedings of Japan Industry Applications Society Conference IEE of Japan, Vol. 1, No. 71, pp 289–292, 2005.
[25] Hiren Patel and VivekAgarwal, "MATLAB-Based Modeling to Study the Effects of Partial Shading on PV Array Characteristics”, IEEE Transactions on Energy Conversion, Vol. 23, No. 1, pp 302-310, 2008.
[26] R. Ramaprabha, M. Balaji and B. L. Mathur, "Maximum Power Point Tracking Of Partially Shaded Solar PV System Using Modified Fibonacci Search Method With Fuzzy Controller”, International Journal of Electrical Power and Energy Systems, Elsevier publications, Vol. 43, pp. 754-765, 2012.
[27] J. Kennedy and R. Eberhart, "Particle swarm optimization”, Proceedings of IEEE International Conference on Neural Networks (ICNN’95), Vol. 4, pp.1942–1948, 1995.
[28] Y. B. Wang, XinPeng and Ben-Zheng Wei, "A new particle swarm optimization based auto tuning of PID controller”, Proceedings of IEEE International Conference on Machine Learning and Cybernetics, July, pp.1818–1823, 2008.
[29] R. C. Eberhart and Y. Shi, "Comparing Inertia Weights and Constriction Factors in Particle Swarm Optimization”, Proceedings of the IEEE International Congress Evolutionary Computation, San Diego, Vol. 1, pp. 84-88,2000.
[30] K. T. Chaturvedi, M. Pandit and L.Srivastava, "Particle Swarm Optimization with Time Varying Acceleration Coefficients for Non-Convex Economic Power Dispatch”, Electrical Power and Energy Systems, Vol. 31, No. 6, pp. 249-257, 2009.
[31] J. A. Duffie and W. A. Beckman, "Solar Engineering and Thermal Processes”, John Wiley & Sons Inc., New York, 1991.
[32] K. F. Teng and P. Wu, "PV module characterization using Q-R decomposition based on the least square method”, IEEE Transactions on Industrial Electronics, Vol. 36, No. 1, pp 71–75, 1989.
[33] K. Araki and M. Yamaguchi, "Novel equivalent circuit model and statistical analysis in parameters identification”, Solar Energy Materials and Solar Cells 75, pp 457–466, 2003.
[34] T. Ikegami, T.Maezono, F. Nakanishi, Y. Yamagata K. Ebihara, "Estimation of equivalent circuit parameters of PV module and its application to optimal operation of PV system”, Solar Energy Materials and Solar Cells 67, pp 389–395, 2001.
[35] J. Merten, J. M. Asensi, C. Voz, A. V. Shah, R. Platz and J.Andreu, " Improved equivalent circuit and analytical model for amorphous silicon solar cells and modules”, IEEE Transactions on Electron Devices, Vol.45, No. 2, pp 423–429, 1998.
[36] M. A. Blas, J. L. Torres, E. Prieto and A. Garcia, "Selecting a suitable model for characterizing photovoltaic devices”, Renewable Energy 25, pp 371–380, 2002.
[37] L. Lu and H.X.Yang, "A study on simulations of the power output and practical models for building systems”, Journal of Solar Energy Engineering, 126, pp 929–935, 2004.
[38] M. K. El-Adawi and I. A. Al-Nuaim, "A method to determine the solar cells series resistance from a single I–V. Characteristic curve considering its shunt resistance – new approach”, Vacuum 64, pp 33–36, 2002.
[39] A. K. Sharma, R. Dwivedi and S. K. Srivastava, "Performance analysis of a solar array under shadow condition”, IEE Proceedings-G 138 (3), pp 301–306, 1991.
[40] Engin Karatepe, Mutlu Boztepe and Metin Colak, "Development of suitable model for characterizing photovoltaic arrays with shaded solar cells”, Solar Energy, pp 329-340, 2007.
[41] Marcelo Gradella Villalva, Jonas Rafael Gazoli, and Ernesto Ruppert Filho, "Comprehensive Approach to Modeling and Simulation of Photovoltaic Arrays”, IEEE Transactions on Power Electronics, vol. 24, no. 5, pp 1198-1208, 2009.
[42] S. Silvestre, A. Boronat and A. Chouder, "Study of bypass diodes configuration on PV modules”, Applied Energy 86, pp 1632–1640, 2009.
[43] R.Ramaprabha, N. Balamurugan and B.L.Mathur, " Implementation of Particle Swarm Optimization based Maximum Power Point Tracking of Solar Photovoltaic Array under Non uniform Insolation Conditions”, International Review of Modelling and Simulation, Vol.6, No.3, pp 1503-1510, 2011.
[44] Hiren Patel and VivekAgarwal, "Maximum Power Point Tracking Scheme for PV Systems operating under Partially Shaded Conditions,” IEEE Transactions on Industrial Electronics, Vol. 55, No. 4,pp 1689-1698, 2008.
[45] W. T. Jewell and T.D. Unruh, "Limits on cloud-induced fluctuation in photovoltaic generation,” IEEE Transactions on Energy Conversion, vol. 5, no. 1, pp. 8–14, 1990.
[46] G. Velasco, J. J. Negroni, F. Guinjoan and R. Pique, "Irradiance Equalization Method for Output Power Optimization in Plant Oriented Grid-Connected PV Generators”, 11th European Conference on Power Electronics and Applications, (EPE 05). Dresden, September 2005.
[47] Linear Technology LTC201A Datasheet. Linear Technology Corporation, 1991.
[48] www.mathworks.com.