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Solar Energy
journal homepage: www.elsevier.com/locate/solener
Impacts of temperature and irradiance on polycrystalline silicon solar cells
parameters
D.M. Fébba
⁎
,1
, R.M. Rubinger
1
, A.F. Oliveira
1
, E.C. Bortoni
1
Universidade Federal de Itajubá, Brazil
ARTICLEINFO
Keywords:
Solar cells
Solar cell parameters
Temperature dependence
Illumination intensity
Diferential Evolution
Polycrystalline silicon
ABSTRACT
The accurate knowledge of the solar cells parameters dependence on irradiance and temperature is of vital
importancefortheperformanceassessmentofphotovoltaicmodulesanddevelopmentofnewdevices,andmany
works have been published so far to understand the aforementioned dependence, but none employed a meta-
heuristic technique. To understand the temperature and irradiance impacts on the single-diode parameters,
sevenpolycrystallinesiliconsolarcellswerestudiedthroughacarefulexperimentalcharacterizationintherange
of 600–1000W/m
2
and 25–55°C. To extract single-diode parameters, the Diferential Evolution optimization
techniquewasemployed,resultinginverylowfttingerrorsbetweenexperimentalandsimulatedI-Vcurves.The
results obtained showed that the shunt and series resistance were more afected by the increasing temperature,
with an exponential decrease, than for increasing irradiance, with a linear increase and decrease for series and
shunt resistance, respectively. The diode ideality factor showed no signifcant changes with increasing tem-
perature and irradiance, while the diode saturation current showed an exponential dependence on increasing
temperature,butnosignifcantchangeswithincreasingirradiance.Furthermore,itwasseenthatevenwithsame
nominal features, polycrystalline silicon solar cells may present very diferent values and behaviors for the
single-diode parameters.
1. Introduction
The accurate modeling of solar cells is essential to understand and
predict how photovoltaic devices operate under diferent temperature
and irradiance conditions, considering that these devices generally
operate in non-standard conditions (25°C and 1000W/m
2
)(Durisch
et al., 1996). The most important parameters for the performance
evaluation of a solar cell are extracted from the current-voltage (I-V)
characteristics and, among the mathematical models available to de-
scribe these I-V curves, the most widely used is the single-diode model,
due to its simplicity and accurate results (Abbassi et al., 2018; Humada
et al., 2016). The equation describing this model can be written as:
=
+ +
I I I exp
qV IR
nkT
V IR
R
( )
1 ,
ph
s s
sh
0
(1)
where I V qkTI I nR , , , , , , , ,
ph s 0
and R
sh
are the current (A) and voltage
(V) on the solar cell terminals, the electronic charge (1.602 176
62×10
−19
C), Boltzmann constant (1.38064852×10
−23
JK
−1
),
temperature (K), photocurrent (A), diode saturation current (A), diode
ideality factor, series and shunt resistance ( ), respectively.
Although this model is simpler when compared to others that take
into account resistive losses and diode non-idealities, the extraction of
the fve electrical parameters of interest (I I nR R , , , ,
ph s sh 0
) for a given
temperature and illumination is a challenging task, since Eq. (1) is a
transcendental and non-linear equation.
The problem of extracting the fve single-diode parameters from the
I-V characteristics may be classifed into three main categories, ac-
cording to the approach employed: analytical, numerical and soft
computing algorithms (Lin et al., 2017). Analytical techniques require
the knowledge of some key points of the I-V characteristics and slopes
at short-circuit and open circuit regions (Ishaque et al., 2012). In this
way, these methods rely on the choice of some regions of the I-V
characteristics to perform curve fttings, and if these regions are not
properly selected, signifcant errors may occur (Bühler et al., 2014).
Numerical techniques can provide better results than the analytical
onessinceallI-Vpointsareutilized,butitsaccuracydependonthetype
of the ftting algorithm and on the chosen initial points (Chellaswamy
and Ramesh, 2016; Ishaque et al., 2012). The metaheuristic techniques,
https://doi.org/10.1016/j.solener.2018.09.051
Received 21 June 2018; Received in revised form 5 September 2018; Accepted 17 September 2018
⁎
Corresponding author.
1
Address: Av. BPS, 1303, Pinheirinho, Itajubá, MG 37500-903, Brazil.
E-mail addresses: davifebba@uol.com.br (D.M. Fébba), rero@unifei.edu.br (R.M. Rubinger), adhimarfavio@unifei.edu.br (A.F. Oliveira),
bortoni@unifei.edu.br (E.C. Bortoni).
Solar Energy 174 (2018) 628–639
0038-092X/ © 2018 Elsevier Ltd. All rights reserved.
T