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1
A
PROJECT REPORT
ON
MODELING OF GRID-CONNECTED PHOTOVOLTAIC ENERGY
CONVERSION SYSTEM USED AS A DISPERSED GENERATOR
Submitted in partial fulfillment of the
Requirement for the award of the degree of
MASTER OF TECHNOLOGY
in
ALTERNATE HYDRO ENERGY SYSTEMS
By
ZAMEER AHMAD
ALTERNATE HYDRO ENERGY CENTRE
INDIAN INSTITUTE OF TECHNOLOGY ROORKEE
ROORKEE- 247667 (INDIA)
SEPTEMBER, 2012
2
CANDIDATES DECLARATION
I hereby declare that the work which is presented in this Project, entitled, Modeling
of Grid-connected Photovoltaic Energy Conversion System used as a Dispersed
Generator, submitted in partial fulfillment of the requirement for the award of the degree of
Master of Technology in Alternate Hydro Energy Systems in Alternate Hydro Energy
Centre, Indian Institute of Technology Roorkee, is an authentic record of my own work
carried out during the period from July 2012 to September 2012 under the supervision and
guidance of Shri S.N SINGH, Senior Scientific Officer , Alternate Hydro Energy Centre,
Indian Institute of Technology Roorkee (India).
I also declare that I have not submitted the matter embodied in this dissertation for
award of any other degree.
Date: 27th
SEPT, 2012
Place: Roorkee (ZAMEER AHMAD)
CERTIFICATE
This is to certify that the above statement made by the candidate is
correct to the best of my knowledge.
(S.N SINGH)
Senior Scientific Officer,
Alternate Hydro Energy Centre,
Indian Institute of Technology,
Roorkee 247677.
3
ACKNOWLEDGEMENT
I feel much honored in presenting this Project report in such an authenticable form of
sheer endurance and continual efforts of inspiring excellence from various coordinating
factor of cooperation and sincere efforts drawn from all sources of knowledge. I express my
sincere gratitude to Shri. S.N SINGH Senior Scientific Officer, Alternate Hydro Energy
Centre, Indian Institute of Technology Roorkee for their valuable guidance and infilling
support for the completion of the Project work.
Last but not the least I am also grateful to all faculty members and staff of Alternate
Hydro Energy Centre, Indian Institute of Technology Roorkee.
I extend my thanks to all classmates who have given their full cooperation and
valuable suggestion for my Project work.
Date: 27th
September, 2012
Place: Roorkee (ZAMEER AHMAD)
4
ABSTRACT
The grid integration of renewable energy sources applications based on photovoltaic
systems is becoming today the most important application of PV systems, gaining interest
over traditional stand-alone systems, but grid connection brings problems of voltage
fluctuation and harmonic distortion and reactive power compensation.
A Matlab-Simulink based simulation study of PV module/PV array is carried out and
presented in this work. The simulation model makes use of basic circuit equations of PV solar
cell based on its behavior as diode and comprehensive behavioral study is performed under
varying conditions of solar insolation, temperature, varying diode model parameters, series
and shunt resistance etc. The study is helpful in outlining the principle and intricacies of PV
cell/modules and may be used to verify the impact of different topologies and control
techniques on the performance of different types of PV systems.
The model presented is a generalized structure so that it can be used as a PV power
generator along with wind, fuel cells and small hydro system by establishing proper
interfacing and controllers. The model is simulated connecting a three phase inverter showing
that, the generated dc voltage can be converted to ac and interfaced to ac loads as well as ac
utility grid system
CONTENTS
5
SR.NO. PARTICULARS PAGE NO.
CANDIDATES DECLARATION AND CERTIFICATE i
ACKNOWLEDGEMENT ii
ABSTRACT iii
CONTENTS iv-v
LIST OF FIGURES vi
LIST OF TABLES vii
CHAPTER- 1 INTRODUCTION 1-9
1.1 GENERAL 1
1.2 BRIEF HISTORY OF EXPLOITING SOLAR ENERGY 2
1.3 GLOBAL ENERGY SCENERIO 3
1.4 SOLAR POWER IN INDIA 4
1.5 GOVERNMENT SUPPORT 6
1.5.1 External Support 7
1.6 SOLAR POWER ADVANTAGES 7
1.7 CONCEPT OF DISPERSED GENERATOR 8
1.7.1 The General Definition 8
1.7.2 The Benefits 8
1.7.3 Difficulties 9
CHAPTER-2 MATHEMATICAL MODELING OF PHOTOVOLTAIC
MODULE/ARRAY 10-12
2.1 MODELING OF PHOTOVOLTAIC MODULE/ARRAY 10
2.1.1 PV Cell under varying Insolation 11
2.1.2 PV Cell under Varying Temperature 11
CHAPTER-3 MATLAB SIMULINK MODEL 13-19
3.1 BLOCK DIAGRAM MODEL OF SOLAR PV MODULE/ARRAY IN
MATLAB/SIMULINK 13
3.2 MODEL FOR MAXIMUM POWER POINT TRACKING 17
3.3 MODEL FOR GRID-CONNECTED SOLAR PHOTOVOLTAIC ENERGY
CONVERSION SYSTEM 18
CHAPTER-4 SIMULATION RESULTS 20-30
4.1 SIMULATION OF SOLAR PV MODULE IN MATLAB/SIMULINK 20
6
4.2 PV MODULE CHARACTERISTICS 20
4.2.1 V-I Characteristics 20
4.2.2 Power Curve 21
4.3 MODEL PARAMETER VARIATION 21
4.3.1 Variation in Rs 22
4.3.2 Variation in Rsh 22
4.4 ENVIRONMENTAL PARAMETER VARIATION 23
4.4.1 PV Module under Reduced Insolation 23
4.4.2 PV Module under Varying Temperature 25
4.5 PV ARRAY CHARACTERISTICS 26
CHAPTER-5 CONCLUSION 31
REFERENCES 32-33
7
LIST OF FIGURES
FIGURE NO. PARTICULARS PAGE NO.
1.1 Evolution of global cumulative installed capacity 2000-2011 (MW) 3
1.2 Solar Industry Growth has produced Steadily Falling Prices 4
1.3 India Solar Resource 5
1.4 Solar Market in India 6
2.1 Equivalent circuit of a PV cell 10
3.1 Block Diagram Model of Solar PV Module/Array in Matlab/Simulink 13
3.2 Subsystem of Model of Solar PV Module/Array 13
3.3 Block Diagram Model of photon generated current Iph 14
3.4 Iph Matlab/SIMULINK Subsystem 14
3.5 Block Diagram Model of saturation current Is 15
3.6 Subsystem of Block Diagram Model of saturation current Is 15
3.7 Block Diagram Model of reverse saturation current Irs 16
3.8 Subsystem of Block Diagram Model of reverse saturation current Irs 16
3.9 Maximum power point tracking of PV array by IncCond algorithm 17
3.10 Simulink block diagram for solar photovoltaic energy conversion system 18
3.11 Matlab Simulink block diagram for grid-connected solar photovoltaic 19
4.1 V-I characteristics of PV module 20
4.2 power curve for different insolation 21
4.3 V-I characteristics of a PV cell for three different values of N 21
4.4 PV characteristics with varying Rs 22
4.5 V-I characteristics & power-curves with varying Rsh 23
4.6 PV Module Characteristics with Varying Insolation 24
4.7 PV Module Power Curve For Varying Insolation 24
4.8 PV Module Characteristics with Varying Insolation 24
4.9 Effect of Temperature Variation on PV Module Output 25
4.10 Effect of Temperature variation on power curve 25
4.11 PV Array Characteristics and Power Curves for Varying Insolation 26
4.12 Array power-curves and dP/dV curves for varying insolation 27
4.13 Vmpp and Pmax 27
8
4.14 Vdc, line to line voltage of inverter and Vab load 28
4.15 Three phase inverter output voltage and infinite bus voltage 29
4.16 Three phase current at the output of inverter and infinite bus 30
4.17 DC output current and voltage of SPV 30
LIST OF TABLES
TABLE NO. PARTICULARS PAGE NO.
2.1 Factor N Dependence on PV Technology 11
4.1 Parameters of BP SX150S Solar Module 20
9
CHAPTER-1
INTRODUCTION
1.1 GENERAL
India is endowed with vast solar energy potential. About 5,000 trillion kWh per year
energy is incident over Indias land area with most parts receiving 4-7 kWh per sq. m per
day. Hence both technology routes for conversion of solar radiation into heat and electricity,
namely, solar thermal and solar photovoltaic, can effectively be harnessed providing huge
scalability for solar in India. Solar also provides the ability to generate power on a distributed
basis and enables rapid capacity addition with short lead times. Off-grid decentralized and
low-temperature applications will be advantageous from a rural electrification perspective
and meeting other energy needs for power and heating and cooling in both rural and urban
areas. From an energy security perspective, solar is the most secure of all sources, since it is
abundantly available. Theoretically, a small fraction of the total incident solar energy (if
captured effectively) can meet the entire countrys power requirements. It is also clear that
given the large proportion of poor and energy un-served population in the country, every
effort needs to be made to exploit the relatively abundant sources of energy available to the
country. While, today, domestic coal based power generation is the cheapest electricity
source, future scenarios suggest that this could well change [1].
The world constraint of fossil fuels reserves and the ever rising environmental
pollution have impelled strongly during last decades the development of renewable energy
sources (RES). The need of having available sustainable energy systems for replacing
gradually conventional ones demands the improvement of structures of energy supply based
mostly on clean and renewable resources. At present, photovoltaic (PV) generation is
assuming increased importance as a RES application because of distinctive advantages such
as simplicity of allocation, high dependability, absence of fuel cost, low maintenance and
lack of noise and wear due to the absence of moving parts. Furthermore, the solar energy
characterizes a clean, pollution free and inexhaustible energy source. In addition to these
factors are the declining cost and prices of solar modules, an increasing efficiency of solar
10
cells, manufacturing-technology improvements and economies of scale [2]. The grid
integration of RES applications based on photovoltaic systems is becoming today the most
important application of PV systems, gaining interest over traditional stand-alone systems.
This trend is being increased because of the many benefits of using RES in distributed (aka
dispersed, embedded or decentralized) generation (DG) power systems. These advantages
include the favourable incentives in many countries that impact straightforwardly on the
commercial acceptance of grid-connected PV systems. This condition imposes the necessity
of having good quality designing tools and a way to accurately predict the dynamic
performance of three-phase grid-connected PV systems under different operating conditions
in order to make a sound decision on whether or not to incorporate this technology into the
electric utility grid. This implies not only to identify the currentvoltage (IV) characteristics
of PV modules or arrays but also the dynamic performance of the power conditioning system
(PCS) required to convert the energy produced into useful electricity and to provide
requirements for power grid interconnection.[3],[4]
1.2 BRIEF HISTORY OF EXPLOITING SOLAR ENERGY
In the modern context, solar energy history can be traced to Horace-Benedict de
Sassure, a Swiss scientist who built the first solar oven in 1767. While quite rudimentary in
design, it was nevertheless very successful in application and paved the way for a generation
of technologies and devices that employed solar energy directly. The promise of solar energy
was apparent to everyone by the 19th century. It was an abundant, inexhaustible source of
power. By the 1860s, when oil was still not much in use, it was believed that all coal reserves
would soon run out. Consequently, the world turned to the sun to meet its energy needs.
However, this enthusiasm for solar energy soon faded away as large coal reserves were soon
discovered. Oil and coal, being cheaper to transport and exploit, were preferred over solar
energy, paving the way for much of our modern day environmental problems [5].
In 2010, the photovoltaic industry production more than doubled and reached a world-
wide production volume of 23.5 GWp of photovoltaic modules. Yearly growth rates over the
last decade were in average more than 40%, which makes photovoltaic one of the fastest
growing industries at present. Business analysts predict that investments in PV technology
could double from 35-40 billion in 2010 to over 70 billion in 2015, while prices for
consumers are continuously decreasing at the same time [6]. Evolution of global cumulative
installed capacity 2000-2011 (MW) is shown in figure 1.1.
11
Figure 1.1: Evolution of global cumulative installed capacity 2000-2011 (MW) [7]
1.3 GLOBAL ENERGY SCENERIO
In 2010 world-wide new investments into the renewable energy and energy efficiency
sectors increased to a new record of $ 243 billion, up 30% from 2009 and for the third year in
a row solar power attracted, behind wind, the second largest amount of new investments into
renewable energies[Wor 2011]. Europe was still the leading region in terms of renewable
energy investments, totalling $ 94.4 billion, followed by Asia/Oceania with $ 82.8 billion and
the Americas with $ 65.8 billion [Pew 2011] [6].figure 1.2 shows Solar Industry Growth has
produced Steadily Falling Prices.
Years
MW
12
Figure 1.2: Solar Industry Growth has produced Steadily Falling Prices [8]
1.4 SOLAR POWER IN INDIA
The amount of solar energy produced in India in 2007 was less than 1% of the total
energy demand. The grid-interactive solar power as of December 2010 was merely
10 MW. Government-funded solar energy in India only accounted for approximately
6.4 MW-yr of power as of 2005. However, India is ranked number one in terms of solar
energy production per watt installed, with an insolation of 1,700 to 1,900 kilowatt hours per
kilowatt peak (kWh/KWp). 25.1 MW was added in 2010 and 468.3 MW in 2011. By May
2012 the installed grid connected photovoltaics had increased to over 979 MW, Indias
(Jawaharlal Nehru) National Solar Mission (JJNSM) was launched in January 2010 in order
to achieve the governments target of generating 22 GW (20 GW on-grid; 2 GW off-grid) of
solar power by 2022[9].Figure 1.3 shows India Solar Resource
13
Figure 1.3: India Solar Resource [10]
14
Figure 1.4: Solar Markets in India [11]
1.5 GOVERNMENT SUPPORT
51 Solar Radiation Resource Assessment stations have been installed across India by
the Ministry of New and Renewable Energy (MNRE) to monitor the availability of solar
energy. Data is collected and reported to the Centre for Wind Energy Technology (C-WET),
in order to create a Solar Atlas. The government of India is promoting the use of solar energy
through various strategies. In the latest budget for 2010/11, the government has announced an
allocation of 10 billion (US$199.5 million) towards the Jawaharlal Nehru National Solar
Mission and the establishment of a clean energy fund. It is an increase of 3.8 billion
(US$75.8 million) from the previous budget. This new budget has also encouraged private
solar companies by reducing customs duty on solar panels by 5% and exempting excise duty
on solar photovoltaic panels. This is expected to reduce the cost of a roof-top solar panel
installation by 1520%. The budget also proposed a coal tax of US$1 per metric ton on
domestic and imported coal used for power generation. Additionally, the government has
initiated a Renewable Energy Certificate (REC) scheme, which is designed to drive
investment in low-carbon energy projects.
15
The Ministry of New and Renewable Energy provides 70 percent subsidy on the
installation cost of a solar photovoltaic power plant in North-East states and 30 percentage
subsidy on other regions. The detailed outlay of the National Solar Mission highlights various
targets set by the government to increase solar energy in the country's energy portfolio.
The Mysore City Corporation has decided to set up a mega solar power plant in Mysore with
50% concession from the Government of India. The Maharashtra State Power Generation
Company (Mahagenco) has made plans for setting up more power plants in the state to take
up total generation up to 200 MW.
1.5.1 External Support:
A four-year $7.6 million effort was launched in April 2003 to help accelerate the
market for financing solar home systems in southern India. The project is a partnership
between UNEP Energy Branch, UNEP Risoe Centre (URC), (http://uneprisoe.org/) two of
Indias major banking groups Canara Bank and Syndicate Bank, and their sponsored
Grameen Banks. As per the existing policy, Foreign Direct Investment up to 100 percent is
permitted in non-conventional energy sector through the automatic route. The FDI received
in non-conventional energy sector from January 2003 to September 2006 is estimated at
around Rs.35 crore. The Multilateral Development Banks like World Bank and Asian
Development Bank are also helping India to achieve its potential on renewable resources
[12].
1.6 SOLAR POWER ADVANTAGES
a. It is one of the most environment friendly, clean and safe energy resources.
b. It produces no noise, harmful emissions or polluting gases
c. PV systems are very safe and highly reliable
d. It has lowest gestation period
e Equipment erection and commissioning involve only a few month.
f. It requires low maintenance
g. It can be aesthetically integrated in buildings (BI PV).
h. It contributes to improving the security of energy supply
I. The technological advancements in solar energy systems have made them extremely cost
effective.
16
1.7 CONCEPT OF DISPERSED GENERATOR
In the literature, a large number of terms and definitions are used in relation to
distributed generation. In regards to the rating of distributed generation power units, the
following different definitions are currently used:
1. The Electric Power Research Institute defines distributed generation as generation from a
few kilowatts up to 50 MW [13];
2. According to the Gas Research Institute, distributed generation is typically [between] 25
and 25 MW [14];
3. Preston and Rastler define the size as ranging from a few kilowatts to over 100 MW [15];
4. Cardell defines distributed generation as generation between 500 kW and 1 MW [16];
The International Conference on Large High Voltage Electric Systems (CIGRE) defines DG
as smaller than 50 100 MW [17]
1.7.1 The General Definition
1. Distributed generation is an electric power source connected directly to the distribution
network or on the customer site of the meter.
2. Distributed generation as a small source of electric power generation or storage (typically
ranging from less than a kW to tens of MW) that is not a part of a large central power system
and is located close to the load. [18]
1.7.2 The Benefits [19]
a. Flexibility in price response.
b. Flexibility in reliability needs.
c. Flexibility in power quality needs.
d. Environmental friendliness
e. Substitute for grid investments.
17
1.7.3 Difficulties
The question of power quality and distributed generation is not straightforward. On
one hand, distributed generation contributes to the improvement of power quality. In the
areas where voltage support is difficult, distributed generation offers significant benefits for
the voltage profile and power factor corrections. On the other hand, large-scale introduction
of decentralized power generating units may lead to instability of the voltage profile. The bi-
directional power flows and the complex reactive power management can be problematic and
lead to voltage profile fluctuation. Additionally, short-circuits and overloads are supplied by
multiple sources, each independently not detecting the anomaly [20].
18
CHAPTER-2
MATHEMATICAL MODELING OF PHOTOVOLTAIC
MODULE/ARRAY
2.1 MODELING OF PHOTOVOLTAIC MODULE/ARRAY
The building block of the PV array is the solar cell, which is basically a p-n
semiconductor junction that directly converts solar radiation into dc current using the
photovoltaic effect. Fig.2.1 depicts the well-known equivalent circuit of the solar cell
composed of a light generated current source, a diode representing the nonlinear impedance
of the p-n junction, and series and parallel intrinsic resistances.
Fig.2.1: Equivalent circuit of a PV cell
A mathematical description of current - voltage terminal characteristics for PV cells is
available in literature. The single exponential equation (2.1) which models a PV cell is
derived from the physics of the PN junction and is generally accepted as reflecting the
characteristic behaviour of the cell.
INPIPHNPISexp {q(V/NS+IRS)/(NPKTCN)}-1]-(NPV/NS+IRS)/RSH (2.1)
Iph is the short circuit current
Is is the reverse saturation current of diode (A),
q is the electron charge (1.60210 -19 C),
V is the voltage across the diode (V),
K is the Boltzmanns constant (1.38110 -23 J/K),
T is the junction temperature in Kelvin (K).
N Ideality factor of the diode
Rs is the series resistance of diode,
Rsh is the shunt resistance of diode,
19
The complete behaviour of PV cells are described by five model parameters (Iph, N,
Is, Rs, Rsh) which is representative of the physical behaviour of PV cell/module. These five
parameters of PV cell/module are in fact related to two environmental conditions of solar
insolation & temperature. The determination of these model parameters is not straightforward
owing to non-linear nature of equation (2.1).
2.1.1 PV Cell under varying Insolation
The photon generated current Iph is in fact related with solar insolation S as
IPH= [ISC+KI (TC-Tref)] S/1000 (2.2)
KI = 0.0017 A/C is cells short-circuit current temperature coefficient, ISC is cells
short circuit current at 25 C, T is the cells temperature and S is the solar insolation in
kW/m2. From equation (2.2), it can be seen that at constant temperature, the photon generated
current Iph is directly proportional to solar insolation.
2.1.2 PV Cell under Varying Temperature
The effect of varying temperature on PV cell output is twofold: (i) It affects short
circuit current Isc of Cell as given by equation (2.2). (ii) It changes saturation current of the
diode in PV cell approximately as cubic power and is given by equation (2.3),
IS=IRS (TC/Tref) 3
exp [qEG (1/Tref-1/TC)/KN] (2.3)
Where IRS is the cells reverse saturation current at a reference temperature and a
solar radiation EG is the band-gap energy of the semiconductor used in the cell. The ideal
factor N is dependent on PV technology [21] and is listed in Table2.1.
Table 2.1: Factor N Dependence on PV Technology.
Technology N
Si Mono 1.2
Si Poly 13
a Si:H 18
a Si:H tandem 3.3
a Si:H triple 5
CdTe 1.5
20
All of the model parameters can be determined by examining the manufacturers
specifications of PV products. The most important parameters widely used for describing the
cell electrical performance is the open-circuit voltage VOC and the short-circuit current ISC.
The aforementioned equations are implicit and nonlinear; therefore, it is difficult to arrive at
an analytical solution for a set of model parameters at a specific temperature and irradiance.
Since normally IPH >> IS and ignoring the small diode and ground-leakage currents under
zero-terminal voltage, the short-circuit current ISC is approximately equal to the photocurrent
IPH, i.e.
IPH=ISC (2.4)
On the other hand, the VOC parameter is obtained by assuming the output current is
zero. Given the PV open-circuit voltage VOC at reference temperature and ignoring the shunt
leakage current, the reverse saturation current at reference temperature can be approximately
obtained as
IRS=ISC/ [exp (qvOC/KNNSTC)-1] (2.5)
21
CHAPTER-3
MATLAB SIMULINK MODEL
3.1 BLOCK DIAGRAM MODEL OF SOLAR PV MODULE/ARRAY IN
MATLAB/SIMULINK
The characteristic equations (2.1), (2.2), (2.3) & (2.5) for the PV module is
implemented in MATLAB/Simulink shown in Fig.3.1. and its subsystem is shown in Fig.3.2.
Fig.3.1: Block Diagram Model of Solar PV Module/Array in Matlab/Simulink
Fig.3.2: Subsystem of Model of Solar PV Module/Array
22
The photon generated current Iph is related with solar insolation S as given in
equation (2.2).
The Block Diagram Model of photon generated current Iph is shown in Fig.3.3. and its
subsystem is shown in Fig.3.4.
Fig.3.3: Block Diagram Model of photon generated current Iph
Fig.3.4: Iph Matlab/SIMULINK subsystem for varying cell temperature and solar radiation.
23
Block Diagram Model of equation (2.3) is shown in Fig.3.5. and its subsystem is shown in
Fig.3.6.
Fig.3.5: Block Diagram Model of saturation current Is
Fig.3.6: subsystem of Block Diagram Model of saturation current Is
24
Block Diagram Model of equation (2.5) is shown in Fig.3.7.
Fig.3.7: Block Diagram Model of reverse saturation current Irs
The reverse saturation current subsystem shown in Fig.3.8. is constructed based on equation
(2.5).
Fig.3.8: Subsystem of Block Diagram Model of reverse saturation current Irs
25
3.2 MODEL FOR MAXIMUM POWER POINT TRACKING
The Block diagram used to obtain the power-curves and dP/dV curves for
varying insolation is shown in Fig.3.9.
Fig.3.9: Maximum power point tracking of PV array by IncCond algorithm
26
3.3 MODEL FOR GRID-CONNECTED SOLAR PHOTOVOLTAIC ENERGY
CONVERSION SYSTEM
Matlab Simulink block diagram for solar photovoltaic energy conversion system
supplying power to three phase load is shown in Fig.3.10.
Fig.3.10: Matlab Simulink block diagram for solar photovoltaic energy conversion system
The block diagram comprises of following components:
1. solar photovoltaic array (SPVA)
2. DC filter
3. IGBT based inverter
4. Three Phase
27
Matlab Simulink Block Diagram Model For Grid-Connected Solar Photovoltaic
Energy Conversion System used as dispersed generator is shown in Fig.3.11.
Fig.311: Matlab Simulink block diagram for grid-connected solar photovoltaic energy
conversion system
The block diagram comprises of following components:
1. solar photovoltaic array (SPVA)
2. DC filter
3. IGBT based inverter
4. AC filter
5. Step Up Transformer
6. Three Phase Pi Section Line
7. Three Phase Load
8. Infinite Bus Bar
28
CHAPTER-4
SIMULATION RESULTS
4.1 SIMULATION OF SOLAR PV MODULE IN MATLAB/SIMULINK
The parameters chosen for modeling corresponds to the BP SX150S module as listed
in Table 4.1. The voltage V is considered varying from 0 to open circuit voltage Voc
corresponding to the variation in current from short circuit current Isc to 0.
Table 4.1: Parameters of BP SX150S Solar Module
parameter Value
Maximum power (Pmax) 150W
Voltage at Pmax (Vmax) 34.5V
Current at Pmax (Imax) 4.35A
Short circuit current (Isc) 140A
Open circuit voltage (Voc) 43.5v
Maximum system voltage 600 V
Temp co-efficient of Isc -(0.065+-0.0015)%/c
Temp co-efficient of Voc -(160+-20)mv/c
Temp co-efficient of Power -(0.5+-0.05)%/c
Normal operating cell temp(NOCT) 47+2 C
4.2 PV MODULE CHARACTERISTICS
4.2.1 V-I Characteristics
V-I characteristics of solar module obtained by simulation is shown in Fig.4.1.
Fig.4.1: V-I characteristics of PV module
0 5 10 15 20 25 30 35 40 45 500
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
6V-I Characteristics for different insolation
Voltage(volts)
Curr
ent(
Am
ps)
1000w/sqm
700w/sqm
400w/sqm
100w/sqm
800w/sqm
29
4.2.2 Power Curve
Power Curve is shown in Fig.4.2.
Fig.4.2:power curve for different insolation
4.3 MODEL PARAMETER VARIATION
The effect of Diode Parameter (N) Variation on open circuit voltage is shown in Fig.4.3.
Fig.4.3: V-I characteristics of a PV cell for three different values of N
Fig.4.3.shows V-I characteristics of a PV module for three different values of N
corresponding to 1, 1.5 & 2 respectively. The ideal value of Ideality -factor N is unity but
its practical value for Silicon PV cell lies between 1 & 2. It can be observed that as we
increase value of N, the open circuit voltage of module increases.
0 5 10 15 20 25 30 35 40 45 500
20
40
60
80
100
120
140
160
180P-V Characteristics for different insolation
Voltage (Volts)
Pow
er
(Watt
)
1000W/sqm
800W/sqm
600W/sqm
400W/sqm
100W/sqm
25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 450
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
6
Effect of variation of N
on open circuit voltage of PV
Voltage(V)
Curr
ent(
A)
N=2
N=1.5
N=1
30
4.3.1 Variation in Rs
The PV cell model of Figure 3.1(chapter-3) has two loss representative element Rs
and Rsh. The effect of increasing value of Rs can be seen using simulink model produced for
equation (2.1). The simulation is produced for three different values of Rs as 0.001, 0.01,
and 0.1. The resultant V-I characteristics and power-curves is obtained as shown in Fig.4.4.
The series resistance (Rs) of the PV module has a large impact on the slope of the I-V curve
near the open-circuit voltage (Voc), as shown in the graph. One can observe decay of PV cell
constant current characteristics at an early cell voltage for higher value of Rs, indicating more
output power loss.
Fig.4.4.PV characteristics with varying Rs
The power curves demonstrate that higher value of Rs reduces power output of a cell.
An indicative index known as Fill factor in PV terminology is defined for judgment of
efficient cell operation as given by (2.2):
FF=Pmax/VOC.ISC (6)
The fill factor appreciably gets low for higher value of Rs.
4.3.2 Variation in Rsh
The simulation is produced for three different values of Rsh; 1k, 100 & 10. The
resultant V-I characteristics & power-curves plotted is shown in Fig.4.5. It is observed that
0 5 10 15 20 25 30 35 40 45 500
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
6PV characteristics with varying Rs
Voltage(v)
Curr
ent(
A)
0 5 10 15 20 25 30 35 40 45 500
20
40
60
80
100
120
140
160
180
Pow
er(
W)
V-I Characteristics
Power Curves
0.01 ohm
0.1 ohm
0.001 ohm
31
the smallest value of Rsh causes PV cell current to fall more steeply indicating higher power
loss and low Fill Factor.
All practical PV cell therefore must have high value of Rsh and low value of Rs for
giving more output power and higher Fill Factor.
Fig.4.5. V-I characteristics & power-curves with varying Rsh
4.4 ENVIRONMENTAL PARAMETER VARIATION
4.4.1 PV Module under Reduced Insolation
The two environmental conditions of Solar Insolation and Temperature govern output
of a PV Cell. Simulink is used to demonstrate behaviour of PV cell under varying solar
insolation. it can be seen that at constant temperature, the photon generated current Iph is
directly proportional to solar insolation. If now the rated Isc of specimen PV cell is 4A
under STC (solar insolation of 1 sun at 25C), i.e. 1000 W/m2 insolation.
The effect of varying solar insolation on V-I characteristics can now be produced
using Simulink where the main variable is control voltage V and other variable is insolation.
The simulation is produced for five different values of solar insolation. The resultant V-I
characteristics and power- curves is shown in Fig.4.6.and Fig.4.7.combined curve is shown in
Fig.4.8.
0 5 10 15 20 25 30 35 40 45 500
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
6
Voltage(V)
Curr
ent(
A)
0 5 10 15 20 25 30 35 40 45 500
20
40
60
80
100
120
140
160
180PV characteristics with varying Rsh
pow
er(
W)
1ohm
1000 ohm
P-V curve
V-I curve
10ohm
100 ohm
32
Fig.4.6: PV Module Characteristics with Varying Insolation
Fig.4.7: PV Module Power Curve For Varying Insolation
Fig.4.8: PV Module Characteristics with Varying Insolation
0 5 10 15 20 25 30 35 40 45 500
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
6V-I Characteristics for different insolation
Voltage(volts)
Cu
rre
nt(
Am
ps
)
1000w/sqm
700w/sqm
400w/sqm
100w/sqm
800w/sqm
0 5 10 15 20 25 30 35 40 45 500
20
40
60
80
100
120
140
160
180P-V Characteristics for different insolation
Voltage (Volts)
Pow
er
(Watt
)
1000W/sqm
800W/sqm
600W/sqm
400W/sqm
100W/sqm
0 5 10 15 20 25 30 35 40 45 500
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
6V-I Characteristics and Power Curves of PV Module
Curr
ent(
A)
0 5 10 15 20 25 30 35 40 45 500
20
40
60
80
100
120
140
160
180
Voltage(V)
Pow
er(
W)
Power
Curves1000W/sqm
700W/sqm
400W/sqm
100W/sqm
33
From the simulation result it can be observed that as solar radiation falling on PV cell
is reduced, both Isc and Voc decreases, but the change in Voc is not as prominent with
incident solar radiation as is with Isc, which varies almost directly proportional.
4.4.2 PV Module under Varying Temperature
To study the effect of Temperature variation on PV cell output, temperature is taken
as one of the variable in addition to the voltage. V-I characteristics and power curves are
obtained as shown in Fig.4.9.and Fig.4.10.
Fig.4.9: Effect of Temperature Variation on PV Module Output
Fig.4.10: Effect of Temperature variation on power curve
0 5 10 15 20 25 30 35 40 45 50 55 600
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
6V-I Characteristics for different temperature
Voltage(Volts)
Curr
ent(
A)
25degC
35degC
45degC
60degC
65degC
70degC
100degC
0 5 10 15 20 25 30 35 40 45 500
20
40
60
80
100
120
140
160
180P-V Characteristics for different temperature
Voltage(V)
Pow
er(
W)
25degC
35degC
45degC
60degC
65degC
70degC
100degC
34
Obviously from equation (2.4) the saturation current of diode of PV cell is highly
temperature dependent and it increases with increase in temperature and is taken care by
Simulink diode model. The increased saturation current in fact reduces open circuit voltage.
4.5 PV ARRAY CHARACTERISTICS
PV array can be simulated in a similar manner by making a slight change in the
equation and simulink model by putting Np = 7 and Ns = 722. The simulated graph is
shown in Fig.4.11.
Fig.4.11: PV Array Characteristics and Power Curves for Varying Insolation
0 10 20 30 40 50 60 70 80 90 1000
5
10
15
20
25
30
PV array characteristics and power curves for varying insolation
Voltage(V)
Cu
rre
nt(
A)
0 10 20 30 40 50 60 70 80 90 1000
400
800
1200
1600
2000
po
we
r(W
)
V-I Chracteristics Power Curves
35
A plot of dP/dV is shown in Figure 4.12. The intersection of the dP/dV graph on
voltage axis i.e. X-Axis gives the voltage corresponding to peak or maximum power of the
PV module (since at voltage axis, the dP/dV=0). The Value of dP/dV is negative on the right
side of the MPP and positive on the left side. Fig.4.13.showing the voltage at which
maximum power occurs.
Fig.4.12: Array power-curves and dP/dV curves for varying insolation
Fig.4.13: Vmpp and Pmax
0 5 10 15 20 25 30 35 40 45 500
5
10
15
20
25
30
35
40Array power-curves and dP/dV curves for varying insolation
dP
/dV
0 5 10 15 20 25 30 35 40 45 500
100
200
300
400
500
600
700
800
900
1000
1100
1200
Voltage(V)
Pow
er(
W)
dP/dV Curves1000W/sqm
700W/sqm
400W/sqm
Power Curves
0 5 10 15 20 25 30 35 40 45 500
5
10
15
20
25
30
35
Voltage
dP
/dV
0 5 10 15 20 25 30 35 40 45 500
100
200
300
400
500
600
700
800
900
1000
1100
1200Maximum power point tracking of PV array by IncCond
pow
er
Pmax
Vmpp
36
Simulation result for solar photovoltaic energy conversion system block diagram
shown in Fig.3.10. (chapter-3) is shown below. The Fig.4.14. shows the following output
signals:
1. Vdc
2. Vab inverter
3. Vab load
Fig.4.14: Vdc, line to line voltage of inverter and Vab load.
The model shown in Fig.3.10. is a generalized structure so that it can be used as a PV
power generator along with wind, fuel cells and small hydro system by establishing proper
interfacing and controllers. The model is simulated connecting a three phase inverter showing
that, the generated dc voltage can be converted to ac and interfaced to ac loads as well as ac
utility grid system. Therefore the model proposed here can be considered as a part of
distributed power generation systems.
37
The simulation result for solar photovoltaic energy conversion system connected to
grid block diagram shown in Fig.3.11 gives the following output signals:
1.Vabc_SPV
2. Vabc_IB (infinite bus)
3. Iabc_IB
4. Iabc_ SPV
5. Vpv_SPV
6. IPV_SPV are shown in Fig.4.15. Fig.4.16and Fig.4.17.
Fig.4.15: Three phase inverter output voltage and infinite bus voltage.
38
Fig.4.16: Three phase current at the output of inverter and infinite bus.
Fig.4.17: DC output current and voltage of SPV.
39
CHAPTER-5
CONCLUSION
A Matlab/SIMULINK model for the solar PV modules and array is developed. This
model is based on the fundamental circuit equations of a solar PV cell taking into account the
effects of physical and environmental parameters such as the solar radiation and cell
temperature. The module model is simulated using Parameters of BP SX150S Solar Module
As a result of the study, one can benefit from this model as a photovoltaic generator in
the framework of the Sim- Power-System Matlab/SIMULINK toolbox in the field of solar
PV power conversion systems. In addition, such a model would provide a tool to predict the
behaviour of any solar PV cell, module and array under climate and physical parameters
changes.
I-V and P-V simulation results show a good agreement in terms of short circuit
current, open circuit voltage and maximum power.
In this study, the Matlab/SIMULINK model not only helps to predict the behaviour of
any PV cell under different physical and environmental conditions, also it can be considered
a smart tool to extract the internal parameters of any solar PV cell including the ideal factor,
series and shunt resistance. Some of these parameters are not always provided by the
manufactures.
The model shown in Fig.3.10.(Chapter-3) is a generalized structure so that it can be
used as a PV power generator along with wind, fuel cells and small hydro system by
establishing proper interfacing and controllers. The model is simulated connecting a three
phase inverter showing that, the generated dc voltage can be converted to ac and interfaced to
ac loads as well as ac utility grid system. Therefore the model proposed here can be
considered as a part of distributed power generation systems.
40
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