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IEEE JOURNAL OF PHOTOVOLTAICS 1
Impact of Nonuniform Illumination and Probe Bar
Shading on Solar Cell I–V Measurement
Samuel Raj, Jian Wei Ho, Johnson Wong, and Armin G. Aberle
Abstract—This paper examines the effect of nonuniform and
probe-bar-shaded solar illumination in the I–V characterization
of large area Si wafer solar cells. The illumination conditions were
experimentally implemented by masking the solar cell during mea-
surement. The results are examined in detail with simulations in
Griddler, a finite element analysis software developed at the Solar
Energy Research Institute of Singapore. The light I–V character-
istics, particularly the fill factor, depend on the specific irradiance
profiles relative to the current-collecting busbars due to effects on
the effective series resistance R
s
. The effect is slight for small light
nonuniformities (IEC 60904 Class A nonuniformity classification
or <2%) but for light nonuniformities up to 20%, the standard
deviation in the fill factor can reach about 0.19% absolute. Probe
bar shading directly leads to an underestimation of the measured
fill factor due to longer current paths and larger voltage drops.
Index Terms—Current–voltage (I–V), Griddler, nonuniform
illumination, probe bar shading, solar cell.
I. INTRODUCTION
T
HE definition of standard testing conditions for solar cell
current–voltage (I–V) measurements, precise definitions
of the solar spectrum and classification of solar simulators [1],
are consistent with the general motivation to render solar cell
I–V testing a highly standardized and reproducible measurement
between test laboratories. Most efforts in raising measurement
accuracy, establishing traceability, and standardization focus on
the prediction of device short-circuit current (I
sc
) under the
target spectrum [2]. Meanwhile, the cell open-circuit voltage
(V
oc
) is usually not sensitive to the probing configuration, and is
accurate to within 0.5% uncertainty so long as the device tem-
perature can be maintained to ±1°C. On the other hand, there is
considerably less promotion of best practices toward obtaining
I–V curves that yield accurate maximum power points (MPP)
or fill factors (FF), although there are numerous factors related
to light distribution and probing configuration that can impact
Manuscript received March 20, 2017; accepted May 29, 2017. This work was
supported by the Solar Energy Research Institute of Singapore (SERIS). SERIS
is supported in part by the National University of Singapore and in part by the
Singapore’s National Research Foundation through the Singapore Economic
Development Board. (Corresponding author: Samuel Raj.)
S. Raj, J. W. Ho, and J. Wong are with the Solar Energy Research Institute
of Singapore, National University of Singapore, 119077, Singapore (e-mail:
samuelraj@nus.edu.sg; jw.ho@nus.edu.sg; johnson.wong@nus.edu.sg).
A. G. Aberle is with the Solar Energy Research Institute of Singapore and
the Department of Electrical and Computer Engineering, National University
of Singapore, 119077, Singapore (e-mail: armin.aberle@nus.edu.sg).
Color versions of one or more of the figures in this paper are available online
at http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/JPHOTOV.2017.2726558
these measured values. Implicitly, the ideal test condition of a so-
lar cell prescribes close proximity of source and sense probes,
identical voltages at current extraction points of like polarity,
and perfectly uniform distribution of light over the cell plane.
The impacts of deviations from these conditions have only been
cursorily reported [3], while detailed work on the effects of
nonuniform light illumination have mainly focused on concen-
trator solar cells [4], [5]. The goal of this work is to investigate
the typically encountered spatial variations in illumination in the
testing of large area Si wafer solar cells, and examine whether
routine setups for I–V testing suffice in achieving accurate FF
measurements.
There are namely two often encountered sources of light
nonuniformity in the test cell plane: the first being nonuniformity
in the incident light field itself, and the second being shading
by the probe bars. Solar simulators that employ xenon short arc
lamp, parabolic mirror, fly’s eye integrator, and collimating lens
can typically meet the 2% spatial uniformity requirements for
class A categorization, although bulb misalignments, degrada-
tion in reflecting mirrors, nonuniformity developed in filtering
elements, etc., can erode the spatial uniformity over time. Sys-
tems that employ more than one lamp, or an array of light emit-
ting diodes (LEDs) which involve multiple illumination sources
that need to be integrated and homogenized over the test plane,
present further challenges to achieving the required light uni-
formity. Shading by probe bars is usually the result of finite
probe bar thickness, misalignment between the probe bars and
the cell busbars, bent probe bars made of printed circuit board
or other flexible materials, and the casting of shadow due to
large incident beam divergence. In the last scenario, if the beam
divergence is 6°, a 5 cm high probe bar contacting the outer
busbars of a three bus bar silicon wafer solar cell with 156 mm
length would cast a shadow 1.45 mm wide. Probe bar shading
can be avoided during the determination of I
sc
, by making use
of Kelvin probes which only contact the busbars near the wafer
edges for current extraction, but the same current extraction
near wafer edges cannot be used for the determination of the
I–V curve MPP, as the cell busbars are typically not designed to
conduct large currents.
This paper presents both experimental data on the variation of
I–V parameters under different light distributions that might be
encountered in realistic I–V testing conditions, as well as sup-
plementary simulations using a detailed finite-element model
[6], [7] of the solar cell plane under a large number of dif-
ferent possible light distributions. The latter simulations are
useful toward establishing the statistical distribution in the I–V
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