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IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 03 | Mar-2013, Available @ http://www.ijret.org 225
MODELING AND SIMULATION OF SOLAR PHOTOVOLTAIC MODULE
USING MATLAB / SIMULINK
Jay Patel1
, Gaurag Sharma2
1
PG Student, 2
Assistant professor Electrical department, Birla Vishvakarma Mahavidhyalaya, Gujarat, India,
jaypatel151188@gmail.com, gksharma@bvmengineering.ac.in
Abstract
The paper presents the modeling ,simulation and implementation of the solar photovoltaic cell using MATLAB/SIMULINK .The I-V ,
P-V & I-V characteristics are obtained for (1) Single solar cell module (2) Solar PV module with variable temp.& fixed radiation (3)
Solar PV module with fixed temp.& variable radiation with M.file and mathematical model using MATLAB/SIMULINK .
Index Terms: photovoltaic module, radiation, temperature, M.file, MATLAB/SIMULINK
-----------------------------------------------------------------------***-----------------------------------------------------------------------
1. INTRODUCTION
One of the major concerns in the power sector is the day-to-
day increasing power demand but the unavailability of enough
resources to meet the power demand using the conventional
energy sources. Energy is the prime mover of economic
growth and is vital to the sustenance of a modern economy
.Future economic growth crucially depends on the long-term
availability of energy from sources that are affordable ,
accessible and environment. Demand has increased for
renewable sources of energy to be utilized along with
conventional systems to meet the energy demand. Renewable
sources like wind energy and solar energy are the prime
energy sources which are being utilized in this regard. The
continuous use of fossil fuels has caused the fossil fuel deposit
to be reduced and has drastically affected the environment
depleting the biosphere and cumulatively adding to global
warming. Solar energy is abundantly available that has made
it possible to harvest it and utilize it properly. Solar energy can
be a standalone generating unit or can be a grid connected
generating unit depending on the availability of a grid nearby.
Thus it can be used to power rural areas where the availability
of grids is very low. Another advantage of using solar energy
is the portable operation whenever wherever necessary. In
order to tackle the present energy crisis one has to develop an
efficient manner in which power has to be extracted from the
incoming solar radiation. The power conversion mechanisms
have been greatly reduced in size in the past few years. The
development in power electronics and material science has
helped engineers to come up very small but powerful systems
to withstand the high power demand. they can hardly compete
in the competitive markets as a prime power generation
source. The PV module represents the fundamental power
conversion unit of PV generator system. The output
characteristics of PV module depends on the solar radiation
,the cell temperature and output voltage of PV module.
2. PV MODULE
A solar cell is the building block of a solar panel. A
photovoltaic module is formed by connecting many solar cells
in series and parallel. Considering only a single solar cell; it
can be modeled by utilizing a current source, a diode and two
resistors. This model is known as a single diode model of solar
cell. Two diode models are also available but only single
diode model is considered here in fig. 1
Fig. 1 Equivalent circuit model of PV cell
The characteristic equation for a photovoltaic cell is given by
Io =(Np * Iph)- (Np* Irs) * (exp((q/(k*T*A))*(Vo/ Ns))-1)
(1)
Where
Iph=(Iscr+ki*(T-Tr))* ((s)/100); (2)
Irs= Irr * ((T/Tr)^3) * exp(q*Eg/(k*A) * ((1/Tr)-(1/T)) (3)
Tr=(Tr1-32)+273 (4)
Io& Vo : Cell output current and voltage;
Irs : Cell reverse saturation current;
T : Cell temperature in Celsius;
k : Boltzmann's constant :1.38 * 10-19 J/K;
q : Electron charge: 1.6*10-23 C;
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 03 | Mar-2013, Available @ http://www.ijret.org 226
Ki : Short circuit current temperature coefficient at Iscr;
S : Solar radiation ;
Iscr : Short circuit current at 25 degree Celsius;
Iph : Light-generated current;
Eg : Band gap for silicon;
Tr : Reference temperature;
Rsh : Shunt resistance;
Rs : Series resistance;
A PV array is a group of several PV cells which are
electrically connected in series and parallel circuits to generate
the required current and voltage. The equivalent circuit for the
solar module arrange in Np parallel and Ns series cells is
shown in fig. 2
Fig.2 Equivalent circuit of solar array
The shunt resistance Rsh is inversely related with shunt
leakage current to the ground .In general , the PV efficiency is
insensitive to variation in Rsh and the shunt -leakage
resistance can be assumed to approach infinity without
leakage current to ground . on the other hand ,a small variation
in Rs will significantly affect the PV output power .
3. IMPLEMENTATION AND SIMULATION OF
MODEL
1) The proposed model of single solar photovoltaic cell is
implemented and shown in fig. 3 and fig. 4
SOLAR _ PV _ Singal Cell
Vpv
Solar Cell
In1
In2
In3
In4
Out1
Out2
PV power
Insolation
1000 I-V characteristic
Vpv
Vpv
Vpv
Fig. 3 Masked single photovoltaic cell model
Out22
Out1
1
ToWorkspace
PV
Product
PN-junctioncharacteristic
1e-9*(exp(u/26e-3)-1)
Insolationto
ISCcurrent gain
1/1000
In4
4
In3
3
In2
2 In1
1
Ppv
Ppv Ipv
Ipv
Id
Id
ISC
Fig. 4 Subsystem of single photovoltaic cell model
Fig.5 I-V characteristics of single solar cell
Fig.6 P-V characteristics of single solar cell
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 03 | Mar-2013, Available @ http://www.ijret.org 227
Fig. 7 MATLAB simulation of PV module
2) Output of Solar PV Array with variable Temp. & Fixed
Radiation using M.file and matlab modeling
0 5 10 15 20 25 30 35 40 45
0
20
40
60
80
100
120
Voltage in volt
Currentinamp
Fig. 8 I-V characteristics of solar cell with variable Temp. &
Fixed Radiation
0 5 10 15 20 25 30 35 40 45
0
500
1000
1500
2000
2500
3000
3500
4000
Voltage in volt
powerinwatt
Fig. 9 P-V characteristics of solar cell with variable Temp. &
Fixed Radiation
0 20 40 60 80 100 120
0
500
1000
1500
2000
2500
3000
3500
4000
current in amp
powerinwatt
Fig. 10 P-I characteristics of solar cell with variable Temp. &
Fixed Radiation
3) Output of Solar PV Array with Fixed Temp. & variable
Radiation using M.file and matlab modeling
0 5 10 15 20 25 30 35 40 45 50
0
2
4
6
8
10
12
14
16
18
20
Voltage in volt
Currentinamp
Fig. 11 I-V characteristics of solar cell with Fixed Temp. &
variable Radiation
0 5 10 15 20 25 30 35 40 45 50
0
50
100
150
200
250
300
350
400
Voltage in volt
powerinwatt
Fig. 12 P-V characteristics of solar cell with Fixed Temp. &
variable Radiation
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 03 | Mar-2013, Available @ http://www.ijret.org 228
0 2 4 6 8 10 12 14 16 18 20
0
50
100
150
200
250
300
350
400
current in amp
powerinwatt
Fig. 13 P-I characteristics of solar cell with Fixed Temp. &
variable Radiation
CONCLUSIONS
The proposed model and using m.file of PV module takes
solar radiation intensity and cell temperature as input and
outputs the I-V and P-V characteristics under various
conditions. we conclude that The insolation change affects the
photon generated current and has very little effect on the open
circuit voltage and we also simulate and modeling of solar cell
and measure the different characteristics. and also measure
the effect of variation in temperature that if the temperature
increases the solar cell efficiency is reduced. As we increase
the solar radiation, higher would be the solar input to the solar
cell and hence power magnitude would increase for the same
voltage value. With increase in the solar radiation the open
circuit voltage increases. This model can be used for the
analysis in the field of solar photovoltaic system and MPPT
technologies .
ACKNOWLEDGEMENTS
The authors would like to thank Dr.. B.R Parekh and prof.
N.G misra of Birla Vishavakarma Mahavidhyalaya
Engineering College,v.v nagar ,Gujarat,India contribution to
this paper.
REFERENCES:
[1] John A. Duffie & William A. Beckman, “Solar
Engineering of Thermal Process”, 3rd ed,John Wiley & Sons,
pp. 747-773, (2006).
[2] Nicola M. Pearsall and Robert Hill, “Clean electricity from
photovoltaic”, 3rd ed., World Scientific, pp. 671-712, (2004)
[3] R. Messenger and J. Ventre, Photovoltaic Systems
Engineering, CRC Press, 2000, pp.41-51.
[4] S. W. Angrist, , Direct Energy Conversion, Allyn and
Bacon, Inc., 4th edition, 1982, pp. 177-227.
[5] O. Wasynczuk, “Dynamic behavior of a class of
photovoltaic power systems,” IEEE Transactions on Power
Apparatus and Systems, vol. PAS-102, no. 9, 1983, pp. 3031-
3037.
[6] I. S. Kim and M. J. Youn, “Variable-structure observer for
solar array current estimation in a photovoltaic power-
generation system,” IEE Proceedings-Electric Power
Applications, , vol. 152, no. 4, 2005, pp. 953959.
BIOGRAPHIES:
Jay Patel received the B.E(Electrical
Engineering) degree from Sardar Patel
University (Birla Vishvakarma
Mahavidhyalaya Engineering College) in
2010. he is currently a M.E (power
system) student (3rd semester) In Birla
Vishvakarma Mahavidhyalaya
Engineering College from Gujarat
Technological University. His current
research interests include solar enregy and power system
protection
Gaurang K.Sharma is Presently working
in Electrical Engineering Dept .B.V.M
Engineering College .previously worked
with ERDA –Baroda having total 12 years
experience in Multinational Industries as
well as Academic Institutions.

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  • 1. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 03 | Mar-2013, Available @ http://www.ijret.org 225 MODELING AND SIMULATION OF SOLAR PHOTOVOLTAIC MODULE USING MATLAB / SIMULINK Jay Patel1 , Gaurag Sharma2 1 PG Student, 2 Assistant professor Electrical department, Birla Vishvakarma Mahavidhyalaya, Gujarat, India, jaypatel151188@gmail.com, gksharma@bvmengineering.ac.in Abstract The paper presents the modeling ,simulation and implementation of the solar photovoltaic cell using MATLAB/SIMULINK .The I-V , P-V & I-V characteristics are obtained for (1) Single solar cell module (2) Solar PV module with variable temp.& fixed radiation (3) Solar PV module with fixed temp.& variable radiation with M.file and mathematical model using MATLAB/SIMULINK . Index Terms: photovoltaic module, radiation, temperature, M.file, MATLAB/SIMULINK -----------------------------------------------------------------------***----------------------------------------------------------------------- 1. INTRODUCTION One of the major concerns in the power sector is the day-to- day increasing power demand but the unavailability of enough resources to meet the power demand using the conventional energy sources. Energy is the prime mover of economic growth and is vital to the sustenance of a modern economy .Future economic growth crucially depends on the long-term availability of energy from sources that are affordable , accessible and environment. Demand has increased for renewable sources of energy to be utilized along with conventional systems to meet the energy demand. Renewable sources like wind energy and solar energy are the prime energy sources which are being utilized in this regard. The continuous use of fossil fuels has caused the fossil fuel deposit to be reduced and has drastically affected the environment depleting the biosphere and cumulatively adding to global warming. Solar energy is abundantly available that has made it possible to harvest it and utilize it properly. Solar energy can be a standalone generating unit or can be a grid connected generating unit depending on the availability of a grid nearby. Thus it can be used to power rural areas where the availability of grids is very low. Another advantage of using solar energy is the portable operation whenever wherever necessary. In order to tackle the present energy crisis one has to develop an efficient manner in which power has to be extracted from the incoming solar radiation. The power conversion mechanisms have been greatly reduced in size in the past few years. The development in power electronics and material science has helped engineers to come up very small but powerful systems to withstand the high power demand. they can hardly compete in the competitive markets as a prime power generation source. The PV module represents the fundamental power conversion unit of PV generator system. The output characteristics of PV module depends on the solar radiation ,the cell temperature and output voltage of PV module. 2. PV MODULE A solar cell is the building block of a solar panel. A photovoltaic module is formed by connecting many solar cells in series and parallel. Considering only a single solar cell; it can be modeled by utilizing a current source, a diode and two resistors. This model is known as a single diode model of solar cell. Two diode models are also available but only single diode model is considered here in fig. 1 Fig. 1 Equivalent circuit model of PV cell The characteristic equation for a photovoltaic cell is given by Io =(Np * Iph)- (Np* Irs) * (exp((q/(k*T*A))*(Vo/ Ns))-1) (1) Where Iph=(Iscr+ki*(T-Tr))* ((s)/100); (2) Irs= Irr * ((T/Tr)^3) * exp(q*Eg/(k*A) * ((1/Tr)-(1/T)) (3) Tr=(Tr1-32)+273 (4) Io& Vo : Cell output current and voltage; Irs : Cell reverse saturation current; T : Cell temperature in Celsius; k : Boltzmann's constant :1.38 * 10-19 J/K; q : Electron charge: 1.6*10-23 C;
  • 2. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 03 | Mar-2013, Available @ http://www.ijret.org 226 Ki : Short circuit current temperature coefficient at Iscr; S : Solar radiation ; Iscr : Short circuit current at 25 degree Celsius; Iph : Light-generated current; Eg : Band gap for silicon; Tr : Reference temperature; Rsh : Shunt resistance; Rs : Series resistance; A PV array is a group of several PV cells which are electrically connected in series and parallel circuits to generate the required current and voltage. The equivalent circuit for the solar module arrange in Np parallel and Ns series cells is shown in fig. 2 Fig.2 Equivalent circuit of solar array The shunt resistance Rsh is inversely related with shunt leakage current to the ground .In general , the PV efficiency is insensitive to variation in Rsh and the shunt -leakage resistance can be assumed to approach infinity without leakage current to ground . on the other hand ,a small variation in Rs will significantly affect the PV output power . 3. IMPLEMENTATION AND SIMULATION OF MODEL 1) The proposed model of single solar photovoltaic cell is implemented and shown in fig. 3 and fig. 4 SOLAR _ PV _ Singal Cell Vpv Solar Cell In1 In2 In3 In4 Out1 Out2 PV power Insolation 1000 I-V characteristic Vpv Vpv Vpv Fig. 3 Masked single photovoltaic cell model Out22 Out1 1 ToWorkspace PV Product PN-junctioncharacteristic 1e-9*(exp(u/26e-3)-1) Insolationto ISCcurrent gain 1/1000 In4 4 In3 3 In2 2 In1 1 Ppv Ppv Ipv Ipv Id Id ISC Fig. 4 Subsystem of single photovoltaic cell model Fig.5 I-V characteristics of single solar cell Fig.6 P-V characteristics of single solar cell
  • 3. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 03 | Mar-2013, Available @ http://www.ijret.org 227 Fig. 7 MATLAB simulation of PV module 2) Output of Solar PV Array with variable Temp. & Fixed Radiation using M.file and matlab modeling 0 5 10 15 20 25 30 35 40 45 0 20 40 60 80 100 120 Voltage in volt Currentinamp Fig. 8 I-V characteristics of solar cell with variable Temp. & Fixed Radiation 0 5 10 15 20 25 30 35 40 45 0 500 1000 1500 2000 2500 3000 3500 4000 Voltage in volt powerinwatt Fig. 9 P-V characteristics of solar cell with variable Temp. & Fixed Radiation 0 20 40 60 80 100 120 0 500 1000 1500 2000 2500 3000 3500 4000 current in amp powerinwatt Fig. 10 P-I characteristics of solar cell with variable Temp. & Fixed Radiation 3) Output of Solar PV Array with Fixed Temp. & variable Radiation using M.file and matlab modeling 0 5 10 15 20 25 30 35 40 45 50 0 2 4 6 8 10 12 14 16 18 20 Voltage in volt Currentinamp Fig. 11 I-V characteristics of solar cell with Fixed Temp. & variable Radiation 0 5 10 15 20 25 30 35 40 45 50 0 50 100 150 200 250 300 350 400 Voltage in volt powerinwatt Fig. 12 P-V characteristics of solar cell with Fixed Temp. & variable Radiation
  • 4. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 03 | Mar-2013, Available @ http://www.ijret.org 228 0 2 4 6 8 10 12 14 16 18 20 0 50 100 150 200 250 300 350 400 current in amp powerinwatt Fig. 13 P-I characteristics of solar cell with Fixed Temp. & variable Radiation CONCLUSIONS The proposed model and using m.file of PV module takes solar radiation intensity and cell temperature as input and outputs the I-V and P-V characteristics under various conditions. we conclude that The insolation change affects the photon generated current and has very little effect on the open circuit voltage and we also simulate and modeling of solar cell and measure the different characteristics. and also measure the effect of variation in temperature that if the temperature increases the solar cell efficiency is reduced. As we increase the solar radiation, higher would be the solar input to the solar cell and hence power magnitude would increase for the same voltage value. With increase in the solar radiation the open circuit voltage increases. This model can be used for the analysis in the field of solar photovoltaic system and MPPT technologies . ACKNOWLEDGEMENTS The authors would like to thank Dr.. B.R Parekh and prof. N.G misra of Birla Vishavakarma Mahavidhyalaya Engineering College,v.v nagar ,Gujarat,India contribution to this paper. REFERENCES: [1] John A. Duffie & William A. Beckman, “Solar Engineering of Thermal Process”, 3rd ed,John Wiley & Sons, pp. 747-773, (2006). [2] Nicola M. Pearsall and Robert Hill, “Clean electricity from photovoltaic”, 3rd ed., World Scientific, pp. 671-712, (2004) [3] R. Messenger and J. Ventre, Photovoltaic Systems Engineering, CRC Press, 2000, pp.41-51. [4] S. W. Angrist, , Direct Energy Conversion, Allyn and Bacon, Inc., 4th edition, 1982, pp. 177-227. [5] O. Wasynczuk, “Dynamic behavior of a class of photovoltaic power systems,” IEEE Transactions on Power Apparatus and Systems, vol. PAS-102, no. 9, 1983, pp. 3031- 3037. [6] I. S. Kim and M. J. Youn, “Variable-structure observer for solar array current estimation in a photovoltaic power- generation system,” IEE Proceedings-Electric Power Applications, , vol. 152, no. 4, 2005, pp. 953959. BIOGRAPHIES: Jay Patel received the B.E(Electrical Engineering) degree from Sardar Patel University (Birla Vishvakarma Mahavidhyalaya Engineering College) in 2010. he is currently a M.E (power system) student (3rd semester) In Birla Vishvakarma Mahavidhyalaya Engineering College from Gujarat Technological University. His current research interests include solar enregy and power system protection Gaurang K.Sharma is Presently working in Electrical Engineering Dept .B.V.M Engineering College .previously worked with ERDA –Baroda having total 12 years experience in Multinational Industries as well as Academic Institutions.