FRANCO, R. A. P.; VIEIRA, F. H. T.; CASTRO, M. S. DE; DEUS JUNIOR, G. A.

doi:10.5540/tema.2018.019.01.0079

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Articles • TEMA (São Carlos) 19 (1) • Jan-Apr 2018 • https://doi.org/10.5540/tema.2018.019.01.0079 copy

Estimação de Parâmetros de Modelo de Sistemas Fotovoltaicos utilizando Algoritmo de Levenberg-Marquardt Modificado

Authorship SCIMAGO INSTITUTIONS RANKINGS

ABSTRACT

This paper proposes an algorithm for the estimation of the parameters of a photovoltaic system model. We propose to use a modified Levenberg-Marquardt algorithm to enhance the estimates of the two resistences (series and parallel) in an one-diode photovoltaic model. The estimation precision of the proposed approach is compared to other three methods. The simulation of the photovoltaic systems using the obtained parameters provides the characteristic curve and the power generated by the photovoltaic system. Methods are applied to interpolate the points of the IxV curves obtained by simulation, so that these IxV curve can be compared with the IxV curves provided by the datasheet of the Kyocera KC200GT photovoltaic module. The results show that the curve generated with the parameters estimated through the proposed algorithm presents the smallest mean square error compared to the other considered methods.

Keywords:
Solar energy; estimation of the parameters; modeling of PV panels

Característica	Valor
Máxima Potência	200,14 W
Tensão de Máxima Potência	26,3 V
Corrente de Máxima Potência	7,61 A
Tensão de Circuito Aberto	32,9 V
Corrente de Curto-Circuito	8,21 A
Número de Células por Módulo	54

Parâmetros	Parâmetros calculados por:
Parâmetros	LM	LMM	Majdoul ⁶6 R. Majdoul, E. Abdelmounim, M. Aboulfatah, A.W. Touati, A. Moutabir & A. Abouloifa. Combined analytical and numerical approach to determine the four parameters of the photovoltaic cells models. In 2015 International Conference on Electrical and Information Technologies (ICEIT), pp. 263-268 (2015). doi:10.1109/EITech.2015.7162977. https://doi.org/10.1109/EITech.2015.7162...	Villalva ¹³13 M.G. Villalva, J.R. Gazoli & E.R. Filho. Comprehensive Approach to Modeling and Simulation of Photovoltaic Arrays. IEEE Transactions on Power Electronics, 24(5) (2009), 1198-1208. doi:10.1109/TPEL.2009.2013862. https://doi.org/10.1109/TPEL.2009.201386...	Cubas [²2 J. Cubas, S. Pindado & M. Victoria. On the analytical approach for modeling photovoltaic systems behavior. Journal of Power Sources, 247(Supplement C) (2014), 467 - 474. doi:https://doi.org/10. 1016/j.jpowsour.2013.09.008. URL http://www.sciencedirect.com/science/article/pii/ S0378775313014997. https://doi.org/10. 1016/j.jpowsour.2013... ]
R _s	0,1063 Ω	0,2131 Ω	0,2307 Ω	0,2210 Ω	0,2308 Ω
R _p	69,01 Ω	350,00 Ω	603,83 Ω	415,41 Ω	597,39 Ω
I _ph	8,210 A	8,205 A	8,213 A	8,214 A	8,210 A
I _m	7,610 A	7,610 A	7,610 A	7,610 A	7,610 A
V _m	26,3 V	26,3 V	26,3 V	26,3 V	26,3 V
I _m[calculado]	7,488 A	7,610 A	7,6053 A	7,6088 A	7,6101 A
V _m[calculado]	26,3 V	26,3 V	26,3 V	26,3 V	26,3 V
EQM	0,1401	0,1392	0,1508	0,1366	0,1366

Interpolação	Modelo proposto (LMM)	Pukhrem ⁹9 S. Pukhrem. A photovoltaic panel model in MATLAB/Simulink. (2013).	Villalva ¹⁴14 M.G. Villalva, J.R. Gazoli & E.R. Filho. Modeling and circuit-based simulation of photovoltaic arrays. In 2009 Brazilian Power Electronics Conference, pp. 1244-1254 (2009). doi:10.1109/COBEP.2009.5347680. https://doi.org/10.1109/COBEP.2009.53476...
Linear	0,1715	0,2762	0,1757
Cubica	0,1718	0,2917	0,1754
Spline	0,1716	0,3090	0,1756

Sociedade Brasileira de Matemática Aplicada e Computacional Rua Maestro João Seppe, nº. 900, 16º. andar - Sala 163 , 13561-120 São Carlos - SP, Tel. / Fax: (55 16) 3412-9752 - São Carlos - SP - Brazil
E-mail: sbmac@sbmac.org.br

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[1] *Autor correspondente: Ricardo Augusto Pereira Franco - E-mail: ricardofranco3@gmail.com.