Copyright © 2011 by ASME
1
ASME International Mechanical Engineering Congress & Exposition
IMECE
November 11-17, 2011, Denver and the Colorado Convention Center, USA
IMECE 2011: 62352
Numerical Simulation of Thin-Film Photovoltaic Solar Cells
Khairy Sayed
Sohag University
Sohag, Egypt
Mazen Abdel-Salam
Assiut University
Assiut, Egypt
Mahmoud Ahmed
Assiut University
Assiut, Egypt
Adel A. Ahmed
Assiut University
Assiut, Egypt
ABSTRACT
The objective of this work is to develop a detailed
numerical simulation of solar photovoltaic cells in one, two,
and three-dimensions. Such kind of numerical simulation can
be used as a flexible research tool for the design and analysis of
solar cells. The developed in-house simulation code has the
advantage of conducting modifications of the suggested
configurations to include effects not covered by the commercial
simulation models. In addition, this tool is to serve as a test-bed
simulator for the development of solar cells modeling and to
design new material models. The photovoltaic solar cells
governing equations are Poisson's equation, the hole and
electron continuity equations. Poisson equation is generally
used to get the voltages across the device. However, in the
present work, it is used to obtain the value of the electrical
charge. The governing equations along with the appropriate
boundary conditions are solved numerically using a finite
difference based method. The resulting system of coupled
nonlinear equations is then solved using Newton method for
nonlinear systems. The predicted results include illuminated
current-voltage characteristic, and dark current-voltage
characteristics of photovoltaic module. Comparisons between
predicted results and corresponding measured values by
manufacturer are conducted in order to validate the numerical
simulation. A good agreement between predicted and measured
results was prevailed.
I- INTRODUCTION
High efficiency solar cells with 2-dimensional geometries
are governed by non-linear effects and require powerful
simulators for their study. Numerical modeling is increasingly
used to obtain insight in to the details of the physical operation
of thin-film solar cells. Over the years several modeling tools
specific to thin-film PV devices have been developed. A
number of these tools have reached a mature status and are
available to the PV community like SCAPS, PC1D, BIDIM2,
AMPS [1-5].
Thin-film solar cell devices are modeled in two dimensions,
from fundamental material parameters, using the finite element
method [6]. The electrostatic potential is solved for, together
with the quasi-Fermi levels, while optical absorption is
calculated from n and k values of the materials used.
Fundamental semiconductor equations (Poisson's equation and
continuity equations) are solved [6] in 2D for thin-film solar
cells, using the finite element method. Two examples of
applications on Cu (In; Ga) Se2 based thin-film solar cells with
absorber material in homogeneities have been presented [6]. In
the first example the band gap energy is randomized, while in
the second one the mid-gap trap state density is varied.
In this paper, a software program specially oriented to the
numerical analysis of solar cells is presented. It has been
developed in MATLAB, and uses the finite differences method
with a new iterative scheme for numerical resolution of
semiconductor equations. A combination of convenient user
interface, rapid convergence, and the ability to address complex
issues associated with heavy doping make this program is
convenient for solar cell research. A simple expression for the
effective electric field is derived, which allows one to more
clearly study its variation with the injection level, and to easily
take into account the electric field-dependence of the mobility
II. SYSTEM DESCRIPTION
The basic equations describe the behavior of charge
carriers in semiconductors under the influence of an electric
field and/or light; both cause deviations from thermal
equilibrium conditions. In the following they are simplified to
one dimension particular to the p-n junction.
A. Poisson’s equation
The Poisson's equation correlates the gradient of the
electric field E with the space charge density ρ. In one
dimension it is given by
Proceedings of the ASME 2011 International Mechanical Engineering Congress & Exposition
IMECE2011
November 11-17, 2011, Denver, Colorado, USA
IMECE2011-62352