J Comput Electron (2011) 10:424–436
DOI 10.1007/s10825-011-0377-4
Simulation of dye solar cells: through and beyond one dimension
Alessio Gagliardi · Matthias Auf der Maur ·
Desiree Gentilini · Aldo Di Carlo
Published online: 8 November 2011
© Springer Science+Business Media LLC 2011
Abstract In this work we present a Computer Aided De-
sign (CAD) software, called TiberCAD, to simulate Dye
Sensitized Solar Cells (DSC). DSCs are particularly inter-
esting devices due to their high efficiency (more than 11%
on small area and 8% on large area) and long stability. Since
their first development, much progress has been made in
terms of efficiency, stability, lifespan and engineering of
the device. However, the field of DSCs still lacks a com-
plete model able to simulate the entire device over a general
domain including all its components. In our model a drift-
diffusion set of equations for the different charge carriers
coupled to Poisson equation has been implemented within
finite element method. The model takes into account also
trap assisted transport for electrons in the mesoporous tita-
nium dioxide with a phenomenological model derived from
multi-trapping model.
Three different applications of the code in 1, 2 and 3D
are presented. The first 1D simulation is a study of corre-
lation between physical parameters of the cell and energy
conversion efficiency. A second application, 2D, discusses
the effect on density and current distributions for different
contacting of the cell and loss induced by the shadowing
of metallic fingers. Finally, the third case, 3D, presents two
different and innovative topologies for a DSC. A cell where
contacts and illumination surface are completely decoupled
and a DSC wrapped around an optical fiber.
Keywords Dye sensitized solar cells · Finite element
methods · Drift diffusion · Solar cells · Electrochemistry
A. Gagliardi ( ) · M. Auf der Maur · D. Gentilini · A. Di Carlo
CHOSE, Dep. of Electronic Engineering, University of Rome
‘Tor Vergata’, Via del Politecnico 1, 00133 Rome, Italy
e-mail: Gagliardi@ing.uniroma2.it
1 Introduction
The importance of renewable energy sources for mankind
can be hardly underestimated. Despite the fraction of total
energy produced that comes from renewable sources is still
small compared to oil or nuclear energy supply, the amount
is rapidly growing. Among renewable energy sources, the
sun is one of the simplest and most obvious choices.
The biggest problem concerning solar power is finding
a way to convert the energy of light in electricity in an ef-
ficient and cheap way. Differently from fossil fuels, where
the main work of entrapping energy in a suitable chemical
form has been already done by nature, in the case of photo-
voltaics that process must be made artificially. The discovery
of the photovoltaic effect in P-N semiconductor junctions
immediately gained the attention of industry and scientific
community as an easy way to exploit the sun. However, it
turned out that things were not so simple as they seemed
originally. Improving the efficiency of a semiconductor so-
lar cell is a very challenging task. On the one hand, from the
Schockley-Queisser limit [1] it is known that the optimal en-
ergy bandgap for photovoltaic applications is 1.1 eV, close
to the energy bandgap of silicon. On the other hand, sili-
con is a very poor light absorbing material due to its indirect
bandgap. The consequence is that we need thick (200 μm)
silicon junctions to assure an efficient light harvesting. This
results in the need of very pure and expensive crystalline
material to avoid recombination due to traps and defects.
Nevertheless, silicon solar cells have reached today a high
standard efficiency close to 25% [2], which is not too far
from the limit of 35% calculated by Shockley [1].
In the meantime people have been exploring other pos-
sible solutions beyond conventional silicon, or more gener-
ally, crystalline solar cells. The landscape of photovoltaics
is nowadays extremely variegate and traditionally divided