Research Article
Parameter Optimization of Single-Diode Model of Photovoltaic
Cell Using Memetic Algorithm
Yourim Yoon
1
and Zong Woo Geem
2
1
Department of Computer Engineering, Gachon University, 1342 Seongnam Daero, Seongnam 461-701, Republic of Korea
2
Department of Energy IT, Gachon University, 1342 Seongnam Daero, Seongnam 461-701, Republic of Korea
Correspondence should be addressed to Zong Woo Geem; zwgeem@gmail.com
Received 26 September 2015; Revised 5 November 2015; Accepted 11 November 2015
Academic Editor: Mahmoud M. El-Nahass
Copyright © 2015 Y. Yoon and Z. W. Geem. Tis is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
Tis study proposes a memetic approach for optimally determining the parameter values of single-diode-equivalent solar cell model.
Te memetic algorithm, which combines metaheuristic and gradient-based techniques, has the merit of good performance in both
global and local searches. First, 10 single algorithms were considered including genetic algorithm, simulated annealing, particle
swarm optimization, harmony search, diferential evolution, cuckoo search, least squares method, and pattern search; then their
fnal solutions were used as initial vectors for generalized reduced gradient technique. From this memetic approach, we could
further improve the accuracy of the estimated solar cell parameters when compared with single algorithm approaches.
1. Introduction
Determining the parameter values of photovoltaic (PV) cell
models is very important when designing solar cells and esti-
mating their performance. Te key parameters that represent
the behavior of solar cells include generated photocurrent,
saturation current, series resistance, shunt resistance, and
ideality factor [1]. Estimating these parameters accurately
is essential for precise modeling and accurate performance
evaluation of solar cells.
Several models have been proposed to describe the
behavior of solar cells using current-voltage (-) relation-
ship [2–4]. Te - curve of a solar cell has nonlinear
characteristics determined by the solar cell parameters. Tese
models generally consist of analytical equations based on
a physical description that formulate PV-generated current
with the technical characteristics and the environmental
variables including the operating voltage, the ambient tem-
perature, and the irradiance [5]. Among numerous modeling
approaches, the single-diode model (SDM) is the most widely
utilized solar cell model in the literature. A general SDM
includes fve parameters: photocurrent, saturation current,
diode ideality constant, series resistance, and shunt resis-
tance.
So far various computational intelligence methods, such
as genetic algorithm, particle swarm optimization, simulated
annealing, and harmony search, have been proposed for opti-
mal estimation of solar cell parameters. Many studies have
aimed to overcome the shortcomings of the conventional
deterministic algorithms and to investigate the efciency and
applicability of the algorithms. Hybrid methods combining
two or more metaheuristic algorithms also have been applied
to explore the capability of stochastic artifcial intelligence
algorithms in estimating solar cell parameters. Tese algo-
rithms could fnd relevant parameter values by minimizing
the root mean square error (RMSE) as the objective function
in the optimization process.
Up to now, metaheuristic algorithms have shown a higher
level of applicability in estimating solar cell parameters
with fne performance. Nonetheless, we also presume that
a memetic approach, which combines the well-developed
evolutionary frameworks with gradient-based local search
algorithm, can provide an opportunity for better solu-
tions. Trough this memetic combination, it can be seen
that the accuracy represented by RMSE can be further
improved because metaheuristic algorithm can be reinforced
by calculus-based method in terms of local search perfor-
mance and calculus-based method can be reinforced by
Hindawi Publishing Corporation
International Journal of Photoenergy
Volume 2015, Article ID 963562, 7 pages
http://dx.doi.org/10.1155/2015/963562