A Modified Nelder-Mead Algorithm for Photovoltaic Parameters Identification

Oumaima Mesbahi, Mouhaydine Tlemçani, Fernando Manuel Janeiro, Abdeloawahed Hajjaji, Khalid Kandoussi

Abstract


Photovoltaic panels are prone to degradation after long outdoor exposure, which can be manifested in multiple forms. This phenomenon also causes an alteration of the panel's parameters. In this work, a heuristic search methodology based on the Nelder-Mead algorithm is applied in the estimation of photovoltaic panel parameters. Modifications that improve the performance of the method are also presented. The results of this modified Nelder-Mead algorithm are compared with the results of the classical method. A sensitivity analysis towards additive noise and ADC resolution is performed.

Keywords


Photovoltaic panel; parameter estimation; Nelder-Mead algorithm; ADC; sensitivity analysis

Full Text:

PDF

References


Green Energy and Technology. 2012.

F. Blaabjerg and D. M. Ionel, “Renewable Energy Devices and Systems-State-of-the-Art Technology, Research and Development, Challenges and Future Trends,†Electr. Power Components Syst., vol. 43, no. 12, pp. 1319–1328, 2015.

U. Gangopadhyay, S. Jana, and S. Das, “State of Art of Solar Photovoltaic Technology,†Conf. Pap. Energy, vol. 2013, pp. 1–9, 2013.

D. Dimova-Malinovska, “The state-of-the-art and future development of the photovoltaic technologies - The route from crystalline to nanostructured and new emerging materials,†J. Phys. Conf. Ser., vol. 253, no. 1, 2010.

A. Vasić, B. Loňcar, M. Vujisić, K. Stanković, and P. Osmokrović, “Aging of the photovoltaic solar cells,†2010 27th Int. Conf. Microelectron. MIEL 2010 - Proc., no. Miel, pp. 487–490, 2010.

A. K. Tripathi, M. Aruna, and C. S. N. Murthy, “Output Power Loss of Photovoltaic Panel Due to Dust and Temperature,†Int. J. Renew. ENERGY Res., vol. 7, no. 1, pp. 1–4, 2017.

R. C. Moura, M. M. F. Gemignani, C. F. M. Almeida, and N. Kagan, “Analysis of losses by soiling and degradation: Methodological proposal for applications in situ,†in 2017 IEEE 6th International Conference on Renewable Energy Research and Applications (ICRERA), 2017, pp. 484–490.

N. M. Kumar, N. Prabaharan, A. R. A. Jerin, and A. Jayakumar, “Impact of Performance Degradation and Capital Subsidy on the Revenue of Rooftop PV System,†Int. J. Renew. ENERGY Res., vol. 9, no. 1, 2019.

M. Hassan Ali, A. Rabhi, S. Haddad, and A. El Hajjaji, “Real-Time Determination of Solar Cell Parameters,†J. Electron. Mater., vol. 46, no. 11, pp. 6535–6543, 2017.

M. Taciuc and A. Crǎciunescu, “Application of the Lambert W-function for a PV module parameters’ estimation,†AIP Conf. Proc., vol. 1863, 2017.

A. Jain and A. Kapoor, “Exact analytical solutions of the parameters of real solar cells using Lambert W-function,†Sol. Energy Mater. Sol. Cells, vol. 81, no. 2, pp. 269–277, 2004.

A. M. Dizqah, A. Maheri, and K. Busawon, “An accurate method for the PV model identification based on a genetic algorithm and the interior-point method,†Renew. Energy, vol. 72, pp. 212–222, 2014.

M. Zagrouba, A. Sellami, M. Bouaïcha, and M. Ksouri, “Identification of PV solar cells and modules parameters using the genetic algorithms: Application to maximum power extraction,†Sol. Energy, vol. 84, no. 5, pp. 860–866, 2010.

A. Askarzadeh and A. Rezazadeh, “Artificial bee swarm optimization algorithm for parameters identification of solar cell models,†Appl. Energy, vol. 102, pp. 943–949, 2013.

J. J. Soon and K. S. Low, “Photovoltaic model identification using particle swarm optimization with inverse barrier constraint,†IEEE Trans. Power Electron., vol. 27, no. 9, pp. 3975–3983, 2012.

N. Tutkun, E. Elibol, and M. Aktaş, “Parameter extraction from a typical PV module using a metaheuristic technique,†in 2015 International Conference on Renewable Energy Research and Applications (ICRERA), 2015, pp. 755–759.

A. Lannoy and H. Procaccia, Evaluation et maîtrise du vieillissement industriel. 2005.

J. H. Wohlgemuth, D. W. Cunningham, P. Monus, J. Miller, and A. Nguyen, “Long term reliability of photovoltaic modules,†in 2006 IEEE 4th World Conference on Photovoltaic Energy Conference, 2006, vol. 2, pp. 2050–2053.

M. A. Munoz, M. C. Alonso-García, N. Vela, and F. Chenlo, “Early degradation of silicon PV modules and guaranty conditions,†Sol. energy, vol. 85, no. 9, pp. 2264–2274, 2011.

A. Ndiaye, A. Charki, A. Kobi, C. M. F. Kébé, P. A. Ndiaye, and V. Sambou, “Degradations of silicon photovoltaic modules: A literature review,†Sol. Energy, vol. 96, pp. 140–151, 2013.

C. R. Osterwald and T. J. McMahon, “History of accelerated and qualification testing of terrestrial photovoltaic modules: A literature review,†Prog. Photovoltaics Res. Appl., vol. 17, no. 1, pp. 11–33, 2009.

M. A. Quintana, D. L. King, T. J. McMahon, and C. R. Osterwald, “Commonly observed degradation in field-aged photovoltaic modules,†in Conference Record of the Twenty-Ninth IEEE Photovoltaic Specialists Conference, 2002., 2002, pp. 1436–1439.

M. Vázquez and I. Reyâ€Stolle, “Photovoltaic module reliability model based on field degradation studies,†Prog. photovoltaics Res. Appl., vol. 16, no. 5, pp. 419–433, 2008.

A. Y. Al-hasan and A. A. Ghoneim, “A new correlation between photovoltaic panel’s efficiency and amount of sand dust accumulated on their surface,†Int. J. Sustain. Energy, vol. 24, no. 4, pp. 187–197, Dec. 2005.

J. A. Nelder and R. Mead, “A simplex method for function minimization,†Comput. J., vol. 7, no. 4, pp. 308–313, 1965.

J. C. Lagarias, J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, “Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions,†Siam J. Optim., vol. 9, no. 1, pp. 112–147, 1998.

T. G. Kolda, R. M. Lewis, and V. Torczon, “Optimization by direct search: New perspectives on some classical and modern methods,†SIAM Rev., vol. 45, no. 3, pp. 385–482, 2003.

R. M. Lewis, V. Torczon, and M. W. Trosset, “Direct search methods: then and now,†J. Comput. Appl. Math., vol. 124, no. 1, pp. 191–207, 2000.

C. T. Kelley, “Detection and Remediation of Stagnation in the Nelder--Mead Algorithm Using a Sufficient Decrease Condition,†SIAM J. Optim., vol. 10, no. 1, pp. 43–55, 1999.

J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, “Convergence properties of the Nelder--Mead simplex method in low dimensions,†SIAM J. Optim., vol. 9, no. 1, pp. 112–147, 1998.

K. I. M. McKinnon, “Convergence of the Nelder--Mead Simplex Method to a Nonstationary Point,†SIAM J. Optim., vol. 9, no. 1, pp. 148–158, 1998.

W. Spendley, G. R. Hext, and F. R. Himsworth, “Sequential application of simplex designs in optimisation and evolutionary operation,†Technometrics, vol. 4, no. 4, pp. 441–461, 1962.

M. J. Box, “A new method of constrained optimization and a comparison with other methods,†Comput. J., vol. 8, no. 1, pp. 42–52, 1965.

“Global optimization of lennard-jones atomic clusters.â€




DOI (PDF): https://doi.org/10.20508/ijsmartgrid.v4i1.90.g79

Refbacks

  • There are currently no refbacks.


www.ijsmartgrid.com; www.ijsmartgrid.org

ilhcol@gmail.com; ijsmartgrid@nisantasi.edu.tr

Online ISSN: 2602-439X

Publisher: ilhami COLAK (istanbul Nisantasi Univ)

Cited in Google Scholar and CrossRef