Vortex Search Algorithm Applied to the Parametric Estimation in PV Cells Considering Manufacturer Datasheet Information

Authors

Keywords:

Photovoltaic modules, parametric estimation, vortex search algorithm, metaheuristic optimization, Manufacturer information, single-diode information

Abstract

This paper addresses the problem of parametric estimation in solar cells considering manufacturer datasheet information regarding open-circuit, short-circuit, and maximum power points from the point of view of mathematical optimization. To represent this problem a single-objective function is formulated associated with the minimization of the mean square error of the single-diode model evaluated in the operational points reported by the manufacturer. The solution of this nonlinear non-convex optimization model is addressed with a metaheuristic optimization technique known in specialized literature as a vortex search algorithm (VSA). This metaheuristic optimization method works with Gaussian distribution functions and variable radius to explore and exploit the solution space by generating hyperspheres that move through the solution space as a function of the best current solution. The VSA is implemented in MATLAB environment by using commercial photovoltaic module information, where numerical results demonstrate the efficiency of this optimization method with objective functions lower than $1\times10^{-25}$ and processing times around $6.13~s$.

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Author Biographies

Oscar Danilo Montoya, Universidad Distrital Francisco José de Caldas

Oscar Danilo Montoya was born in Obando, Valle, Colombia. He received his BEE, MSc, and Ph.D. degrees in Electrical Engineering from Universidad Tecnol\'ogica de Pereira, Colombia, in 2012, 2014 and, 2019 respectively. He is currently an Assistant professor at Electrical Engineering programs from Universidad Distrital Francisco Jos\'e de Caldas and Universidad Tecnol\'gica de Bol\'ivar in Colombia. His research interests include mathematical optimization, planning and control of power systems, renewable energies, energy storage, protective devices, passivity-based control, and dynamical analysis; and he has published more than 110 papers indexed in the SCOPUS database.

Walter Julián Gil-González, Universitaria Pascual Bravo

Walter Gil-González was born in Pereira, Colombia in 1986. He received his B.Sc., M.Sc., and Ph.D. degrees in Electrical Engineering from Universidad Tecnológica de Pereira, Colombia, in 2011, 2013, and 2019, respectively. He is currently working as an Adjunct Professor with the Department of Electric Power Engineering, Institución Universitaria Pascual Bravo. His research focuses on power systems' control and stability. In addition, other areas of interest are the optimization and operation of the power system.

Jesús María López-Lezama, Universidad de Antioquía

Jesús M. López-Lezama was born in Chinchiná, Caldas, Colombia. He received his B.Sc. and M.Sc. degrees from Universidad Nacional de Colombia in 2001 and 2006, respectively. He also received his Ph.D. degree from Universidade Estadual Paulista (UNESP), SP, Brazil in 2011. Currently, he is an Associate Professor at Universidad de Antioquia, Medellín, Colombia. His major research interests are applied optimization, planning, and operation of electrical power systems and distributed generation.

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Published

2021-03-29

How to Cite

Montoya, O. D., Gil-González, W. J., & López-Lezama, J. M. (2021). Vortex Search Algorithm Applied to the Parametric Estimation in PV Cells Considering Manufacturer Datasheet Information. IEEE Latin America Transactions, 19(9), 1581–1589. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/5043