Materials Science and Engineering B 178 (2013) 574–579
Contents lists available at SciVerse ScienceDirect
Materials Science and Engineering B
j o ur nal homep age: www.elsevier.com/locate/mseb
An optimized metal grid design to improve the solar cell performance
under solar concentration using multiobjective computation
F. Djeffal
a,b,∗
, T. Bendib
a
, D. Arar
a
, Z. Dibi
a
a
LEA, Department of Electronics, University of Batna, 05000 Batna, Algeria
b
LEPCM, University of Batna, 05000 Batna, Algeria
a r t i c l e i n f o
Article history:
Received 23 June 2012
Received in revised form 1 November 2012
Accepted 8 November 2012
Available online 20 November 2012
Keywords:
Solar cell
Multiobjective
Optimization
Metal grid
Efficiency
Power losses
a b s t r a c t
In this paper, a new multiobjective genetic algorithm (MOGA)-based approach is proposed to optimize the
metal grid design in order to improve the electrical performance and the conversion efficiency behavior
of the solar cells under high intensities of illumination. The proposed approach is applied to investigate
the effect of two different metal grid patterns (one with 2 busbars outside the active area (linear grid)
and another one with a circular busbar surrounding the active area (circular grid)) on the electrical
performance of high efficiency c-Si solar cells under concentrated light (up to 150 suns). The dimensional
and electrical parameters of the solar cell have been ascertained, and analytical expressions of the power
losses and conversion efficiency, including high illumination effects, have been presented. The presented
analytical models are used to formulate different objective functions, which are the prerequisite of the
multiobjective optimization. The optimized design can also be incorporated into photovoltaic circuit
simulator to study the impact of our approach on the photovoltaic circuit design.
© 2012 Elsevier B.V. All rights reserved.
1. Introduction
The strong demand for alternatives to fossil fuel based energy
sources and growing environmental concerns have increased inter-
est in solar cells as a long-term, exhaustless, environmental friendly
and reliable energy technology [1–4]. Continuous efforts to develop
new materials and modeling techniques for solar cells are being
made in order to produce new photovoltaic devices with improved
electrical performance. In addition to the new semi conducting
materials, solar cells consist of a top metallic grid or other electri-
cal contact to collect electrons from the semiconductor and transfer
them to the external load. In a solar cell operating under the normal
conditions, even a small deviation from the optimum power con-
dition can cause a loss of conversion efficiency [1]. Moreover, the
enhancement of a solar cell’s conversion efficiency does not only
depend on materials and device structure; but it is also very impor-
tant to optimize the front metal grid design [1]. Several authors
have studied the impact of the metal grid design on the conversion
efficiency and the loss mechanism, using different metal grid con-
figurations (circular, linear, square, etc.) [1,5–7]. It has been found,
in these studies, that the front metal grid design has a great impact
on the solar cell electrical performance. The losses associated with
the grid influence directly the conversion efficiency of solar cells
∗
Corresponding author. Fax: +213 33805494.
E-mail addresses: faycal.djeffal@univ-batna.dz, faycaldzdz@hotmail.com (F.
Djeffal).
[1,5–7]. This effect is even more pronounced at high intensities of
illumination [1,5–7]. Maximum power can be extracted from a solar
cell only when it is operating with optimum design parameters. In
order to minimize the solar cell power losses and maximize the con-
version efficiency, new design approaches are required to enhance
the reliability and the electrical performance of the solar cell for
photovoltaic applications. Numerous authors have modeled and
studied the impact of power loss effect on the solar cell electrical
behavior, where analytical and empirical methods have been used
to minimize the loss effect. In these techniques, the global optimiza-
tion of the power loss effect cannot be achieved [1,5–8]. In addition,
until now, there are no studies to investigate the global electri-
cal performance optimization of the metal grid design by using a
global evolutionary-based optimization technique. One preferable
approach is the multiobjective-based optimization, which could
provide practical solutions for the photovoltaic circuit design. The
first step of our approach consists of an accurate analytical pre-
sentation of different loss mechanisms including solar illumination
effect. The different analytical models will be used in our study as
objective functions.
In this paper, we present the applicability of the multiobjective
genetic algorithm (MOGA) computation approach to optimize the
front metal grid design for photovoltaic applications. The key idea
of this approach is to find out the best dimensions and electrical
parameters of the metal grid to facilitate and improve the device
design strategy. The MOGA-based approach, adopted in this work,
is the process of finding the minimum/maximum of the power
losses and conversion efficiency. These latter called the objective
0921-5107/$ – see front matter © 2012 Elsevier B.V. All rights reserved.
http://dx.doi.org/10.1016/j.mseb.2012.11.006