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International Journal of Science, Engineering and Technology Research (IJSETR), Volume 3, Issue 2, February 2014
173 ISSN: 2278 – 7798 All Rights Reserved © 2014 IJSETR
Study the Effect of Proton Irradiation for
Photovoltaic Cells Characteristics in LEO Orbit
Osama A. Oraby1*
, Mohamed F. El-Kordy1,
Hanaa T. El-Madany2, Faten H. Fahmy
2,
1Department of Electronics and Communications, Faculty of Electronic Engineering,
Menofia University, Menouf 32951, Egypt 2Electronics Research Institute, National Research Center Building, Cairo, Egypt
*E-mail: [email protected]
Abstract- Protons can present a hazard to both manned
spacecraft and to the sensitive components in satellite sub system
and instrumentation such as photovoltaic cells. This pair
proposed the theoretical I-V characteristic carve for 10 MeV’
protons with fluence from 108 to 1012 p/cm2 in LEO orbit in
space. Also this paper investigates the behavior of the electrical
parameters of photovoltaic cells. Furthermore, the development
of short circuit current (isc,) and open circuit voltage (Vsc) which
gives maximum power at the same equation order (n) repaired to
LEO orbit. The mathematical formula far the theoretical I-V
characteristic curve from 108 to 1012 p/cm2 and the threshold
level are obtained. in addition, the study the electrical parameters
(Isc, Voc, Pmax, and F.F) as a function of proton fluence are
presented, Also, the comparison between the effect of 10 MeV
protons before and after irradiation is studied.
Index Terms- Proton effects, Photoltaic cell, LEO orbit, and
circuit voltage.
I. INTROBUCTION
M. Imaizumi [1] proposed a model for high energy and high
fluence proton irradiation of Si solar cells which explains
the anomalous increase in he and decrease in Voc followed by abrupt decrease of Ioc, and cell failure, induced by high
fluence proton irradiation. The Isc. increase and the Voc,
decrease can be explained by depletion region broadening.
The abrupt cell failure can he explained by a decrease in
carrier concentration and consequent increase in the
resistively of the base layer. The anomalous change in QE
can be explained by the generation of a donor-type defect
level with proton irradiation and conduction-type
conversion.
Wang Kong [2] reports the high-energy proton irradiation
effects on GaAs/Ge space solar cells. The solar cells were irradiated by protons with energy of 5-20MeV at a Iluence
ranging from I x109 to 7x1013cm-2 and then their electric
parameters were measured at AM0. It was shown that the
Isc; Voc and Pmax, degrade as the fluence increases,
respectively, but the degradation rates of 4. isc , voc and Pmax,.
decrease as the proton energy increases, and the degradation
is relative to proton irradiation-induced defect Ec-0.41 eV in
irradiated GaAs/Ge cells.
M. Alurralde [3] developed art experimental facility to
measure the current voltage characteristic curve of
crystalline silicon solar cells, the cells were irradiated with
10 MeV protons and fluenee between 108 and 1013 p/cm2. Furthermore, theoretical simulations were performed to
establish the relation between the variation of the electrical
parameters and the degradation of the lifetime of minority
carriers in the base. Also he discussed a proposal of new
model of radiation damage for silicon solar cells.
In this paper the theoretical 1-V characteristic curve of
crystalline silicon solar cells used in LEO orbit in space
after irradiation with 10 MeV protons and fluenee between
108 and 1012 p/cm2 has been studied, Also, the mathematical
equation for each case of fluence is obtained.
II. PROBLEM FORMULATION
The solar cells used in space environment are subjected to
bombardment of charged particles of a wide energy range
This bombardment introduces defects in the constituent
materials of the cells and, consequently, deteriorates its
electronic properties. Radiation damage tests, performed
under controlled and normalized conditions, allow studying
the resistance of the photovoltaic (PV) devices to the space environment and predicting their performance at the end of
life (EOL). Therefore, tests are very useful because they
allow a proper design, of the modules for a satellite mission.
Main sources of radiation at affecting PV modules are
protons and electrons trapped by the terrestrial magnetic
field and protons. coming from the Sun, the particle flux
depending on the orbit of the mission. Other sources of
damage are neutrons and 7-rays: these are not relevant in
space, but useful for characterization purposes. The
radiation damage in satellites at low attitude orbits (lower
than 800 km) or in the high altitude ones (5000 km or
higher) is mainly produced by protons (close to 90% of damage). Hence, it is important to evaluate the damage
production using these particles in the experiments on earth.
For satellite applications, the high energy particle radiation
in outer space produces defects in semiconductors that cause
a reduction in solar cell power output Assessing the
expected useful life of the space solar-cell power plant is
important [4]. The interested problem is to obtain the
theoretical equations of 1-V characteristic curve of silicon
solar cell after irradiation with 10 MeV protons and fluenee
between 108 and 1012 p/cm2. The absolute error and the
electrical parameters (short circuit current (Isc) open circuit voltage (Voc) Maximum power (Pmax), and fill factor (FF)
will be studied for each case in details, So, it is too
important to study the perfect theoretical characteristic curve
by fitting the experimental data and the mathematical
equation are obtained which not previously studied before.
The obtained electrical parameters under proton irradiation
are necessary to improve the operation in LEO orbit in
space.
International Journal of Science, Engineering and Technology Research (IJSETR), Volume 3, Issue 2, February 2014
174 ISSN: 2278 – 7798 All Rights Reserved © 2014 IJSETR
III. RESULTS AND DISCUSSIONS
III. 1. CHARACTERISTIC CURVE DISCUSSIONS
The experimental data of the I-V characteristic curve of
crystalline silicon solar cells after irradiation with 10 MeV
protons and fluence between l08 and 1012 p/cm2 is obtained
from [3], so curve fitting using Matlab program is applied to
obtain the theoretical 1-V characteristic curve. Figure l to
Fig. 5 indicate the theoretical I-V characteristic curve of the
degradation of crystalline silicon solar cell when irradiated
with 108 p/cm2 the equation order(n) varied front 4 to 8
respectively. From these obtained results illustrated in these
figures, it is noticed that there is a large error between the theoretical and experimental results for n=4 and 8
respectively. The obtained theoretical results is nearly
similar to the experimental results for n=5 and 7 as depicted
in Fig. 2 and Fig. 4 respectively. While Fig. 3 shows that the
theoretical results is near to the experimental results so, it is
the perfect theoretical curve for equation order n=6, Thus
the mathematical formulator the optimum 1-V characteristic
curve for 108 p/cm2 curve is given as follows:
I = -156 .6227 V6 + 243 .8975 V5 - 146 .4676 V4 + 41.8778
V3 -5.649 V2 + 0.2794 V +0.096 (1)
Where I is the current of photovoltaic cells, and V is the voltage of photovoltaic cells.
Figure.6 to Fig. 9 shows the theoretical I-V characteristic
curve of the degradation of crystalline silicon solar cell with
10Mev proton and fluence between 109 to 1012 p/cm2 as the
equation order n=6, It is seen from obtained results that the
optimum I-V characteristic curve occurs for n=6. The
mathematical formula for the optimum I-V characteristic
curve for 109 to 1012 p/cm2 respectively is given as follows:
I = -154.2322 V6 +229.1504 V5 -131.154 V4 + 36.0069V3
- 4.756V2 + 0.2331V+0.094 (2)
I = -92.7883V6 +1119307V5 - 49.7737V4 +10S253V3
- 0.921 4V2 + 0.0203V + 0.0921 (3) I=-113.7362V6+131.2421V5-55.3297V4+10.1986V3
-0.7545V2+0.0012V+0.079 (4)
I = -55.5576V6 + 30.5736V5 + 3.8181V4 - 4.6736V2
+ 0.7944V2 - 0.0522V + 0.06l (5)
III. 2. ERROR ANALYSIS AND DISCUSSIONS
Figure 10 and 15 indicate the absolute error as a function of
the PV output voltage for 108 p/cm2 and 109 p/cm2 respectively.
In the case of 108 p/cm2 and the output voltage = 0:384 V,
the absolute error is nearly between 0 up to 9 x 10-4 for n=6.
While it has a value of 2 x l0-4 up to 2 x 10-3 for n = 5 and 0
up to 5 x 10-3 for n=7. On the other hand, for 109 p/cm2 and
V= 0 V: 0.407 V, the absolute error is between 0 up to 7 x
10-4 for tell. While it has a value of 10-4 up to 2x10-3 for n=5
and 0 up to 5 x 10-4 for n=7. It s seen that the best IV
characteristic curve for 108 p/cm2 to 1012 p/cm2 has been
occurred for n= 6 as a result of the minimum absolute error
achieved at n=6.
III. 3. SIMULATION ANALYSIS OF THE ELECTRICAL
PARAMETERS
Figure 12 to 15 indicates the solar cell electrical parameters,
1sc, Poc, and F F at different equation orders (n) and fluence
between 108 and 1012 p/cm2. Its clearly from simulated
results that the short circuit current varies with the equation
order where noticeable increasing in Isc values occurs until
n=6 while Isc reaches to steady state values for higher orders
(n=7 to 9). From Fig. 13, it is seen that Voc. decreases
smoothly until ie6 but an increase in its value occurs gradually with higher order. Figure. 14 shows that .Pmax
increases rapidly until tell but a clear reaches to steady state
for higher order n>6, Figure 15 shows that the fill factor
(FE) increases until n=4 and decreases with a value FE>0.7
for equation order n>4, While a noticeable decrease with a
value nearly F.F<0.7 for higher order n>6. Thus it is clear
that the optimum electrical parameters (values and equation)
occurs at equation order n=6 for fluence 108 to 1012 p/cm2.
The variation of the maximum output power value of silicon
solar cells with the output voltage when irradiated from l08
to 1012 p/cm2 is indicted in Fig. 16. From this figure it’s
clear that the output power occurs at l08 p/cm2 while the lowest value of output power achieved for 1012 p/cm2,
III. 4. THE THRESHOLD LEVEL DISCUSSION
It is found from Fig. 10 and 12 to 15 that the threshold
level occurs for equation order n=6 for different flunces for
108 to 1012 p/cm2 because of large losses in the theoretical
results occurs for n>6.
3.5 THE ELECTRICAL PARAMETERS AND COMPARISON PF 1-V CHARACTERISTICS
Figure 17 shows the effect of proton fluence on the
electrical parameters. It is noticed that a decrease of the
electrical parameters of solar cell with an increase of fluence
of proton radiation. The electrical parameters which reach to
the highest values at 10 p/cm2 while the lowest values at
1012 p/cm2. Figure 18 studies the comparison between the
theoretical characteristics curve of Si solar cells before and
after irradiation with 10 MeV protons with fluence 108 to
1012 p/cm2. ft is shown that the degradation of the 1-V
characteristic curves decrease with an increase of proton
fluence. The best theoretical characteristic curve at normal sun radiation without 10 MeV protons occurs for equation
order n=7 while the best theoretical characteristic curve after
10 MeV protons irradiation occurs far n=6. Also the
theoretical characteristic curve after irradiation of 10 MeV
protons with fluence 108 p/cm2 is the nearest characteristic
curve to normal sun radiation.
IV. CONCLUSIONS
This paper presents a theoretical I-V characteristic curve of
the photovoltaic solar cells after irradiation of 10 MeV
protons with fluence It 108 to 1012 p/cm2 in LEO orbit in
space. It is found that the optimum theoretical I-V
characteristic curve for each ease of proton radiation for
equation order n=6 as a result of the error reaches nearly
zero for n=6 and the mathematical equations are obtained,
Isc, increases gradually while Voc decreases until n=6 and
Power reaches its maximum value at n=6 So the threshold
level occurs n=6. The electrical parameters for photovoltaic
cell (Isc Voc, and FF) decreases with an increase of proton
fluence, From the comparison study between the degradation of theoretical I-V characteristics curve of Si
solar cells before arid after irradiation with 10 MeV protons
with fluence 108 to 1012 p/cm2, the best values for operation
in LEO orbit are obtained by decreasing the proton fluence
or nearest to the case of normal sun radiation without
10MeV protons.
International Journal of Science, Engineering and Technology Research (IJSETR), Volume 3, Issue 2, February 2014
175 ISSN: 2278 – 7798 All Rights Reserved © 2014 IJSETR
REFERENCES
[1] M. lmaizumi. M. Yamaguchi, S,J. Taylor, S. Matsuda.
0, Kawasaki, and T. Hisarnatsu, Mechanism for the
Anomalous Degradation of Si Solar Cells Induced by
High-Energy Proton irradiation’. Solar Energy
Materials and Solar Cells Journal Vol. 50, pp 339-344,
1998,
[2] Wang Rong, Quo Zengliang, Zhang Xinghui, and Thai
Zuoxu, ―5—20 MeV Proton Irradiation Effects. on
GaAs/Ge Solar Cells for Space Use‖, Solar Energy
Materials and Solar Cells Journal VoL 77,, pp. 351-357,
2003. [3] M. Alurralde, M. 3. L Tamasi, C. J, Bruno, M. ti.
Martinez Bogado, 1. MA. 3. Fernández Vázquez, J.
Dunn, Schul T, A. A. Burlon, P. Stoliar, and A. 3.
Kreiner, Experimental and Theoretical Radiation
Damage Studies on Crystalline Silicon Solar Cell,
Solar Energy Materials and Solar Cells Journal,
Vol. 82, No.4, pp. 531-542, May 2004.
[4] S. M Sm ―Physics of Semiconductor Devices‖, John
Wiley and Sons, Inc., Chapter 14, PP. 790-838,
1981.
International Journal of Science, Engineering and Technology Research (IJSETR), Volume 3, Issue 2, February 2014
176 ISSN: 2278 – 7798 All Rights Reserved © 2014 IJSETR
International Journal of Science, Engineering and Technology Research (IJSETR), Volume 3, Issue 2, February 2014
177 ISSN: 2278 – 7798 All Rights Reserved © 2014 IJSETR
International Journal of Science, Engineering and Technology Research (IJSETR), Volume 3, Issue 2, February 2014
178 ISSN: 2278 – 7798 All Rights Reserved © 2014 IJSETR