suresh than a kod imf ke 2009
TRANSCRIPT
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MODELING AND SIMULATION OF GRID CONNECTED PHOTOVOLTAIC
SYSTEM USING MATLAB / SIMULINK
SURESH A/L THANAKODI
A project report submitted in fulfilment of therequirements for the award of the degree of
Master of Engineering (Electrical-Power)
Faculty of Electrical Engineering
Universiti Teknologi Malaysia
NOVEMBER 2009
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Dedicated with deep gratitude feeling to Paramahamsa Nithyananda
The embodiment of all the existential and non-existential energy
That ever guiding the path towards enlightenment in blissful
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ACKNOWLEDGEMENT
In the name of God, the world begins and so this master project, hence to HIM
the Most Blissful I would like to extend my gratitude. With HIS help, guidance and
permission this master project came to existence. Thank you againNithyananda
(Eternal Bliss). I also would like to use this space to extend my gratitude to those that
had rendered help, guidance, moral support and prayers in championing this project.
I would like to dedicate my appreciation to my supervisor Assoc.Prof
Md.Shah Majid to accept me as a student and also not forgetting Puan Hjh Hasimah
Abd Rahman whom had been there always to guide me and provide me with plenty ofinputs in order to achieve better results in this project. Thank you again to both of
them from bottom of the heart.
My sincere thank you to my parents, family members and also to those very
close to my heart. Without their guidance and support, I would not have made this far
in my life. Every moment with them will be cherished and also motivates me to go
further into a new dimension in this life. Thank you again to all my family members
including nithyananda family members.
Last but not least, I would like to express my gratitude to all my lecturers, to
all my friends including faculty staff and Meteorological department especially
Pn.Zureen Norhaizatul Che Hassan to made this project possible.
Thank you again
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ABSTRACT
Photovoltaic System is a huge topic that can be researched and studied on
such as the arrangement of PV array is one of the issues that can be studied. Besides
that, the control techniques can as well be delved into. Another important area that
makes concern to the PV world would be the maximum power point tracker (MPPT)
for PV to maximize the sun energy, and so many more can be said in these advanced
millennia. Yet in this research work, the scope has to be scaled down in appreciation
to the given time. This research project would mainly concern on the different PV
technologies (amorphous silicon, polycrystalline) and their effect to the system interms of energy output. Besides that, this project work would be designed nearly to
the BIPV-PTM projects that have been implemented in Malaysia in order to verify
the energy output results from the modeling and simulation activities. The project
works will emphasis on Malaysias temperature and solar radiation. On the other
hand, having so much respect to the given time, the grid connected PV system
modeling may not have protection system to be included in the design and only the
best inverter model would be chosen for the simulation purpose. Overall findings
indicate that the modeling using MATLAB / SIMULINK can be further used for
investigation and make improvement in order to identify which best technologies to
be implemented. The polycrystalline PV System yields higher energy output
compared to the amorphous silicon technology is another finding thru this project.
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ABSTRAK
Sistem Fotovoltaik merupakan satu tajuk besar yang boleh dikaji dan
dipelajari dari pelbagai aspek seperti jenis susunan panel, cara pengawalan dan
sebagainya. Disamping itu, penemuan dalam sistem penjejakan titik operasi maksima
(MPPT) turut menyumbang kepada perkembangan sistem fotovoltaik ini. Namun
begitu, projek ini hanya membincangkan perbezaan teknologi fotovoltaik(amorphous
silicon, polycrystalline) dan impaknya terhadap penghasilan tenaga elektrik. Projek
ini juga dimodelkan serupa dengan projek yang telah dibangunkan oleh Pusat Tenaga
Malaysia (PTM) secara praktikal melalui projek Sistem Bangunan BerintegrasikanSistem Fotovoltaik.(BIPV). Tujuan pemodelan sebegini adalah untuk menentusahkan
tenaga elektrik yang dijana melalui pemodelan sistem. Projek ini memberi penekanan
kepada suhu dan radiasi solar Malaysia. Sistem perlindungan tidak diberi penekanan
dalam projek ini dan penyongsang terbaik dipilih dalam aktiviti pemodelan ini.
Secara amnya, melalui projek ini, didapati pemodelan menggunakan perisian
MATLAB / SIMULINK, amat relevan dan boleh diguna pakai serta ditambah baik
untuk mengenalpasti teknologi fotovoltaik yang sesuai diimplemen di Malaysia.
Melalui projek ini juga, didapati teknologipolycrystalline menjana tenaga elektrik
yang tinggi berbanding dengan teknologiamorphous silicon.
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TABLE OF CONTENT
CHAPTER TITLE PAGE
STUDENT DECLARATION ii
DEDICATION iii
ACKNOWLEDGEMENT iv
ABSTRACT v
ABSTRAK vi
TABLE OF CONTENT vii
LIST OF TABLES ix
LIST OF FIGURES xi
LIST OF SYMBOLS xvii
1 INTRODUCTION 1
1.1 Project Background 1
1.2 Research Objective 4
1.3 Research Scope 5
1.4 Methodology 6
1.6 Thesis Outline 10
2 LITERATURE REVIEW 11
2.1 Malaysias Next Potential Energy 12
2.2 Different technology of Photovoltaics 14
2.3 Electrical Equivalent of Solar Cells 19
2.4 Grid Connected PV System 24
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2.5 Solar Cell and its Characteristics 26
2.6 Converters and Inverters 34
2.7 Related Works 39
3. MODELING USING MATLAB / SIMULINK 44
3.1 Introduction 44
3.2 Building the Mathematical Modeling and Circuit 46
4. SIMULATION RESULTS AND DISCUSSION 56
4.1 Introduction 56
4.2 Simulation of Single Junction and Verification 58
4.3 Case Study 1 63
4.4 Case Study 2 66
5. CONCLUSION AND DISCUSSION 70
5.1 Introduction 70
5.2 Summary 70
5.3 Suggestion 71
REFERENCES 73
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LIST OF TABLES
TABLE NO. TITLE PAGE
2.1 Summarize the different technology in
Thin Film technology 14
2.2 PV module characteristic for standard technologies 32
2.3 The Switches State for a full bridge single phase inverters 39
4.1 Details of Case Study 1 63
4.2 Energy Output with = 0.45 64
4.3 Energy Output with = 0.50 65
4.4 Energy Output with = 0.55 65
4.5 Details of Case Study 2 67
4.6 Energy Output with = 0.45 67
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4.7 Energy Output with = 0.50 68
4.8 Table 4.8: Energy Output with = 0.55 69
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LIST OF FIGURES
FIGURE NO. TITLE PAGE
1.0 Methodology Flow Chart 7
1.1 Flow Chart for Literature Review 8
1.2 Flow Chart on Simulation 9
2.0 Map of Solar Irradiation for Malaysia 12
2.1 Resources Energy Trend 13
2.2(a) Single junction amorphous 14
2.2(b) Cells deposited onto a glass sheet are laterally
connected in series 14
2.3 Multiple-junction stacked or tandem solar cells where
two or more current-matched cells are stacked on top of
one another 15
2.4(a) Mixed-phase microcrystalline/amorphous material 16
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2.18 CharacteristicI-Vcurve of the photovoltaic cell 27
2.19(a) Characteristic shown on the influence of ambient
irradiation 28
2.19(b) Characteristic shown on the influence of cell temperature 28
2.20(a) TheI-Vcurve responses with two identical cells
connected in series 29
2.20(b) TheI-Vcurve responses with two identical cells
connected in parallel 29
2.21 Electrical characteristics of Sharp NE-80EJEA solar cell 31
2.22 Electrical characteristics of Sharp NE-80EJEA solar cell 31
2.23 The Schematic of a Buck Converter 35
2.24 Connection of Inverter 37
2.25 Fullbridge Voltage Source Inverter 38
2.26 Equivalent circuit models of PV cell 40
3.1 First stage in modeling the solar cell 45
3.2 Second stage in modeling the solar cell 45
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3.3 Third stage in modeling the solar cell 46
3.4 Parameter for resistor block 47
3.5 Mathematical Modeling Implementation for Io 48
3.6 Mathematical Modeling Implementation for Ipv 48
3.7 Mathematical Modeling Implementation for
model current Im 49
3.8 Mathematical model for cell temperature (Tc) 50
3.9 The cell temperature block after subsystem process 50
3.10 An Example of the menu after Mask Process 51
3.11 PV array modeling 51
3.12 Circuitry Design for PV 52
3.13 Mask of PV Array 52
3.14 The PV Menu after Mask Process 53
3.15 The energy block and after masking process 54
3.16 The Menu of the energy block 54
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3.17 The Whole PV System with Load 55
4.1 Setting the Simulation Parameter 57
4.2 Configuring the simulation parameter 57
4.3 The I-V curve from BP Solar MSX-60 datasheet 58
4.4 Simulation Output when the Tc = 0 C and Sx = 1kW/m2 59
4.5 Simulation Output when the Tc = 25 C
and Sx = 1kW/m2 59
4.6 Simulation Output when the Tc = 50 Cand Sx = 1kW/m
2 60
4.7 Simulation Output when the Tc = 75 C
and Sx = 1kW/m2 61
4.8 Simulation Output when the Tc = 25 C
and Sx = 0.4kW/m2 61
4.9 Simulation Output when the Tc = 25 C
and Sx = 0.6kW/m2
61
4.10 Simulation Output when the Tc = 25 C
and Sx = 0.8kW/m2 62
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4.11 Simulation Output when the Tc = 25 C
and Sx = 1.0kW/m2 62
4.12 Energy Output with = 0.45 64
4.13 Energy Output with = 0.50 65
4.14 Energy Output with = 0.55 66
4.15 Energy Output with = 0.45 68
4.16 Energy Output with = 0.50 68
4.17 Energy Output with = 0.55 69
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LIST OF SYMBOLS
PV - Photovoltaic
TNB - Tenaga Nasional Berhad
PTM - Pusat Tenaga Malaysia
BIPV - Building Integrated Photovoltaic System
kWp - kilowatt peak
kWh - kilowatt hour
d.c - direct current
a.c - alternating currentr - PV module efficiency at reference temperature (Tr= 25
oC)
p - Temperature coefficient for module efficiency (% /oC)
Tc - Surrounding Temperature
Tr - Reference Temperature (25oC)
Tr - Reference Temperature (25oC)
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CHAPTER I
INTRODUCTION
1.1 Project Background
Photovoltaic System (PV) is getting popular by day as the crude oil price
increases and unstable in the global market. Furthermore with green peace movement,
and the consciousness of mankind has heightened up regarding green energy,
photovoltaic maybe one of the solution for better as well cleaner energy as it is
naturally harness from the Sun energy. Although the technology is mainly well
known in the space mission, yet its still an alien for domestic usages. This is due to
the high initial cost, generation efficiency and reliability [1]. On the other hand, to
answer the cry for alternative energy has made the PV system again popular among
the researchers. Having said so, the rural areas where the grid connection is extremely
expensive, PV Systems have been implied to give hope to these areas, while for the
urban life, the PV Water Heater is common and can be found on the roof of the
houses.
Currently, more than 3500MW of photovoltaic system have been installed all
over the world [2]. Referring to the results from Earth Policy Institute (EPI), the
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world production of solar PV cells increased 32% in 2003, compared to the most
recent 5-year average of 27% a year. Production increased to 742 MW, with
cumulative global production at 3145 MW at the end of year 2003, enough to meet
the electricity niche of one million homes. Referring to the EPI, this extraordinary
growth is driven to some degree by improvements in materials and technology, but
primarily by market introduction programs and government incentives [2].This fact
can clearly conclude that this solar energy (photovoltaic) is a very promising as next
generation energy source.
On the other hand, in Malaysia there are plenty of sectors join hands inpromoting the photovoltaic including the government as well with the private sectors.
Some of the projects are pilot project by TNB (Tenaga Nasional Berhad) whereby 6
pilot plants was installed during 1998 2001 in various places in Malaysia such as in
Uniten, Port Dickson and Subang Jaya [3]. Pusat Tenaga Malaysia (PTM) is another
building integrated with photovoltaics, using polycrystalline (47.28kWh) and
amorphous (6.08kWh) [3]. This is inevitable evidence that shows solar energy is one
of the practical renewable energy sources for Malaysia.
In this context, lots of research needs to be done in order to achieve a reliable
and efficient energy. Looking at the grid connected system, whereby the system
mainly consists of photovoltaic (PV) modules, inverter, battery, and switching point
for the utility [4]. Different types of photovoltaic cell will yield different energy
output, meanwhile the controlling technique of inverter is very crucial in
championing the PV system. Inverter design should consider the size and capacity of
the plant, on the other hand choosing the right controlling technique is needed as well
in order to achieve an efficient renewable energy system.
There are many types of inverter used in converting the direct current (d.c)
produced by the PV to alternating current (a.c). The conversion is a must in order to
suit the AC grid system that have been implemented and practiced for so long. Some
of the types that can be used are multilevel inverters such as flyback capacitor, neutral
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point clamped multilevel inverter, diode clamped inverter and many more. Each
topology has its own plus point and drawbacks depending on the usage of it.
Applying certain controlling techniques to the inverters such as Pulse Width
Modulation (PWM), Space Vector Pulse Width Modulation (SVPWM), Step
Modulation etc, the efficiency of the conversion can be obtain up to an optimum
level. Hence this is another part for research in the PV Grid-Connected system.
On the other hand, there are many types of technology used in producing the
photovoltaic cell, such as using the Silicon Photovoltaic (crystalline silicon,
nanocrystalline), Thin Film solar cells (amorphous silicon, cadmium telluride,gallium arsenide, copper indium gallium deselenide) and Concentrating Photovoltaic
(multijunction cells) [5]. As said above, the different types and topologies of
photovoltaic gives different energy output, such as the amorphous silicon typically
efficiency is 6%-8%, while multicrystalline is 11% - 14%, and mono-crystalline is
12% - 17%, etc [6]. Hence in this work, the major part of research will be a study on
the impact of the different topologies of PV cells on the energy output generated.
Besides that, its a common knowledge that, the PV system has different
seasonal pattern behavior depending on the temperature as well as the solar
irradiation. Due to the different temperature co-efficient of voltage and current the PV
system has different output. Yet, to simplify the work of manufacturer mostly, the PV
modules are rated at STC (standard test conditions) of solar irradiation as 1000 Wm-2,
while the spectrum is fixed and related to a sun-spectrum at air mass of 1.5 (AM =
1.5). The STC temperature operating for the PV cell is at 25oC which does not relate
to the practical world especially to Malaysia. Hence this project aims to have some
practical simulation work to suit to Malaysian tropical weather and climate.
In promoting, grid connected photovoltaic system by building integrated
photovoltaic system (BIPV) the Malaysian government has been very supportive via
Malaysian Industrial Development Authority (MIDA) in terms of tax holiday,
industry park and many more incentives. Besides that competitive electricity tariff
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(USD 4-6 cents / kWh) is another plus point in the blooming of PV system industry.
Political and economic stability in Malaysia act as a catalyst for this new industry [7].
As a conclusion, its worthwhile to research on this photovoltaic system as it
is the next generation energy source, while its green and promotes to cleaner world.
On top of that, this research work is in line with the government aspiration on
becoming a greener nation with a renewable energy source. This in return will mark
Malaysia another step higher in the eyes of the world. Impact of different topologies
and technology of PV will be the main concern on this research work. Although the
single cell and multijunction solar types have different energy output in various
technology, yet the research in terms of comparison have to be conduct in finding theadvantages and disadvantages of the system as well the behavior of the system to the
Malaysian climate. These are the issues pertaining to this research work.
1.2 Research Objective
Following are the objectives that hopefully to be achieved at the end of this
project implementation. Those objectives are:-
To study solar cell circuit model
To model and simulate a single junction solar cell
To determine energy output of different PV technologies.
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1.3 Research Scopes
In accomplishing this research, the work has been divided into few parts. As
for the beginning part, the literature review on the photovoltaic theory, topology and
its operation as well grid-connected PV system will be glanced thru to have a better
understanding on the system as a whole. On the second stage after the understanding
of theory, modeling and building up the equivalent electrical circuit shall commence
at once. As to mark the end of the work, the simulation result using the single
junction cell will be used to determine the energy output (kWh) using the inputparameters temperature and solar radiation obtained from Malaysian Meteorological
Data (MMD).
As mention above the general scope and flow of this research work, the single
cell PV shall be modeled first and simulated. Then it will be verified using the I-V
curve of a manufacturers data sheet. After all the verification process done, the
modeling part for Malaysian context shall be done and analyzed.
In this work, PV cells from amorphous silicon and polycrystalline silicon
types will be used. The first one represents the thin film technology and the later part
the silicon technology. These technologies will the major research on this project. The
simulation later part will be done to Malaysian solar irradiation and temperature
value.
As for the accomplishment of this project, the project will be extended up to
the verification thru actual monitored Malaysian Building Integrated Photovoltaic
(MBIPV) system.
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1.4 Methodology
The approach that has been applied in championing this project can be divided
into two major segments. The first segment is the literature review and the second
part is on the circuitry modeling and simulation. In the beginning, the literature
review will help to understand the photovoltaic cell by understanding their types, and
identifying all the PV system components. Then literature part will continue as the
studies will be extended to different technology of single cell for amorphous and
polycrystalline cells.
Later on the literature review continues up to grid components as well studies
on the inverter models for the grid conducted concurrently. On the other hand, the
meteorological data is also gathered in order to make this research work to be
contextualized for Malaysian environment. Site visiting to MBIPV is also part of the
literature review as well to gather data for the literature review on the simulation
software also done in order to be able to use the software effectively.
On the second part, the single junction cell will be simulated and verified thru
manufacturer data sheet using I-V curve. After all verification successfully done, the
modeling and simulation part for inverter shall take place. After all the major
components of grid connected PV successfully done, the component shall be
interconnected and simulated to the Malaysian context. After completion of the
system simulation, using few bench marks the results will be analyzed. Following are
the summarized flow chart on this project.
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Figure 1.0: Methodology Flow Chart
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Figure 1.1: Flow Chart for Literature Review
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Figure 1.2: Flow Chart on Simulation
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1.5 Thesis Outline
This theses will is a compilation of many chapters that will elaborate in stages
the research work that have been carried out. As in general this theses mainly consist
of five main chapters; introduction, literature review, circuitry buildings and
simulation using MATLAB / SIMULINK software, simulation results analysis and
conclusion.
In chapter I, this thesis will discuss the research project in collectively. Thischapter explained the crucial aspect of the research work such as background studies,
objectives, research scopes, and methodology as well the thesis outline will also be
discussed finally.
Chapter II completely dedicated to literature review about the grid connected
PV system. This chapter will be solely theoretical in detail discussing on the types
photovoltaic cell, inverters, and the whole system about it. In this academic scribbling
some of the controlling techniques for inverters will be discussed as well. In this
section the related works also will be discussed.
Chapter III will be explaining on how the circuit modeling being development
using the MATLAB / SIMULINK. The single cell for both amorphous and
polycrystalline will be developed first. All the components used in building the
models shall be included as well to add value in the academia world.
Chapter IV will be discussion in depth on the obtain simulation results. The
result will be analyzed in terms of energy output and also verification using the online
monitored data gathered from Malaysian Building Integrated Photovoltaic (MBPIV).
Conclusion and suggestion in improvising this research work shall be detailed
out in Chapter V.
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CHAPTER II
LITERATURE REVIEW
Thru this chapter, hopefully it will give some idea to the reader regarding the
different technologies of photovoltaic cells and different modeling techniques as well.
Besides that, basic concepts regarding photovoltaic will be reviewed as well as the
power electronics converters. On the other hand, the inverters and grid connected PV
system also shall be discussed. In addition, related works regarding to this research
project work also will be conferred in depth. Its an honor to be the medium of
knowledge manifestation from the universe.
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2.1 Malaysias Next Potential Energy
Before cruising any point beyond this, it would be very crucial; to know that
solar can be identified as a next potential energy for Malaysia. Malaysias
geographical factor as it lies in the tropical region between 1N and 7N, and 100E
and 119E makes it possible to have approximately 6 hours of sunshine per day [11].
The temperature is hot and humid throughout the year with heavy rainfall. with the
range of rainfall is 2032-2540mm, temperature 21-32C, relative humidity 80-90%,
solar radiation 12-20 MJ/m2 and wind speed 2-22 m/s is very suitable and feasible
condition to capture solar energy for the electricity usage [11].
Figure 2.0: Map of Solar Irradiation for Malaysia [7]
According to a research done by National University Malaysia, the Ultra-
violet radiation pattern in Malaysia has been divided to five types as stated below
Sunshine everyday
Cloud or Rain everyday
Cloud pattern is not stable everyday
Rain in the evening
UV radiation is more than UV constant
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As such the same study also stated that ultra-violet pattern in Malaysia for
sunshine 15.7%, rain 13.7%, cloudy 51%, rain in the evening 16.5% and ultra-violet
radiation more than ultra-violet constant are 2.8%. Having said so, the potential of PV
system application at Malaysia is very high. Currently, there many Building
Integrated Photovoltaic Systems (BIPV) projects are being carried out thru Malaysia.
Some of the projects are:-
Pusat Tenaga Malaysia (PTM ZEO)
SMK (P) Sri Aman Petaling Jaya
Monash University
Figure 2.1: Resources Energy Trend [12]
From Figure 2.1, it can clearly deduce that the natural sources are depleting in
years to come and this eventually results on the cost of energy production. It can also
clearly see the trend moves towards renewable energy especially on photovoltaic
system. Hence, as a conclusion, the photovoltaic system can be the next best energy
source for Malaysia.
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2.2 Different technology of Photovoltaics
There are many types of technology in thin film photovoltaic technology. For
an example in this thin film technology there is Silicon based and Chalcogenide-
based cells. Table 2.1 shows the summary of the types that shall be discussed in this
topic.
Table 2.1 Summarize the different technology in Thin Film technology
Thin Film Technologies
Silicon based Chalcogenide-based cells
Single junction amorphous silicon Cadmium Sulphite (CdS)
Multiple junction amorphous silicon Cadmium Telluride (CdTe)
Crystalline Silicon on Glass Copper Indium deselenide (CIS)
In the thin film technology it can be divided into two major parts which is
silicon based and chalcogenide based. As for beginning look at silicon based which
consists of single junction amorphous silicon, multiple junction amorphous silicon
and crystalline silicon on glass. Below in Figure 2.2 (a) is the single junction
amorphous silicon and Figure 2.2 (b) is the individual cells deposited onto a glass
sheet are laterally connected in series by the approach shown [8].
Figure 2.2 (a): Single junction amorphous, Figure 2.2 (b): Cells deposited onto a glass
sheet are laterally connected in series
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In the early 1980s the calculators and digital watches have been using the
amorphous silicon solar. At that time, many efforts were carried out but currently
Kaneka and Mitsubishi are the companies that successfully supplies single junction
amorphous silicon [8]. This is due to its characteristics that in the low temperature the
amorphous silicon allows 10% hydrogen to be incorporated. Quality of the material is
improved in the presence of the hydrogen atom [8]. The amorphous silicon is not very
conductive hence the transparent conductive tin oxide layer between the silicon and
the glass being used and connected in series as depicted in Figure 2.2(b)[8].
The next is the multiple junction amorphous silicon devices, where it isdesigned in thinner layers to accommodate the decreased material quality under light
exposure such as in single junction amorphous. Its made possible by stacking two or
more cells on top of one and another as in Figure 2.3. In effort to boost its
performance the upper cells bandgap is made larger compared to the lower cells [8].
Figure 2.3: Multiple-junction stacked or tandem solar cells where two or more
current-matched cells are stacked on top of one another
As discussed above, by increasing the bandgap of the uppercell theres a
change in performance and the earliest effort made in reducing the bandgap by
alloying it with germanium. This result in the performance was around the 67%
range, compared to the best of the single junction amorphous silicon (a-Si). Currently
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theres another way of doing it whereby an a-Si as top cell combined with a bottom
cell which consists a mixture of amorphous and microcrystalline as in Figure 2.4.
This technology can improve the performance by 8-10%. This cell is still in small
scale and hasnt been commercialized yet. [8]
Figure 2.4 (a): Mixed-phase microcrystalline/amorphous material;
Figure 2.4(b): Single-phase polycrystalline film
Another type of solar cell is crystalline silicon on glass as depicted in Figure
2.5 whereby this technology uses high temperature to transform the amorphous
silicon material to polycrystalline. This technology has some similarity with the
polycrystalline wafer. The advantage of this technology is that the material is more
conductive and theres no need for a transparent conducting oxide that results in cost
reduction. The instability possessed by a-Si is also solved using this material [8]. The
glass texture is also another plus point in this technology as it allows the silicon layer
to be very thin.
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Figure 2.5: Crystalline silicon on glass (CSG) unit cell structure.
A fault tolerant metallization approach and the use of higher grade
borosilicate float glass compared to the soda-lime glass have improved the
ruggedness in the CSG technology compared to the module.
Earlier the discussions were on the silicon based, now lets have a preview on
the Chalcogenide-based cells. The Chalcogenide-based cells kick off with the
cadmium sulphite technology in the early 1980s. Yet this technology was beat down
by the biggest contender at the time; amorphous silicon. Besides that, the instability
issue with cadmium sulphite was another major issue. When the amorphous silicon
was going thru dark ages as it had problem with commercialization, this technology
had a good time and became famous.
BP solar and Matsushita were manufacturing Cadmium Telluride solar cell
and then later move on to other technology due to environmental issues. The toxicity
of cadmium was one of the reasons. A layer of cadmium sulphide is deposited from
solution onto a glass sheet coated with a transparent conducting layer of tin oxide.
This is followed by the deposition of the main cadmium telluride cell by as variety of
techniques including close-spaced sublimation, vapour transport, chemical spraying,
or electroplating.[8]. The cadmium telluride structure has been depicted in Figure 2.6.
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Figure 2.6: Device schematic for a cadmium telluride cell
Copper Indium diselenide known as CIS technology has demonstrated 19.5%
efficiency in experiments yet its hard to commercialize. CIS technology generally
involves deposition onto a glass substrate and then interconnected as in Figure 2.7
[8]. An additional glass top-cover is then laminated to the cell/substrate combination.
Research are being conducted in order to replace the thin layer of CdS as many
environmental controversy issues submerged as noted earlier. Yet the CIS technology
is one of available resources as reserves of indium would only produce enough solarcells to provide a capacity equal to all present wind generators [8].
Figure 2.7: Basic CIS (copper indium diselenide) cell structure
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2.3 Electrical Equivalent of Solar Cells
Earlier in sub topic 2.2 the discussion were about types of solar cells in terms
of materials, but in this sub topic the discussion will be on the solar cell equivalent
electrical circuits and their mathematical equations in depth. Before going deep in the
topic, lets have some basic on how the solar cell works. As discussed earlier since
the solar cell are made of specially treated silicon whereby positive (on the backside)
while the negative part (facing the sun), when the sun light (radiation) hits the solar
cell, the electrons gets excited and loose creating the electron-hole pairs [9].
This phenomena when extended by attaching the electrical wires on positive
and negative part creating a close loop while then results in current flows which
known as electric photocurrent (IPH). This is clearly shown in Figure 2.8 courtesy of
PV Industry Hand Book by PTM.
Figure 2.8: Summary on how solar cells work (courtesy from Pusat Tenaga Malaysia)
As for the kick start, the understanding on the operation and electrical
equivalent circuit of single solar cell will be discussed. Referring to Figure 2.9,
without the sun light (dark), the solar cell shall function as a normal diode. If any
external supply connects to it, the solar cell will function and produce the diode
current (ID). In the dark, the solar cell will not produce any electric current or voltage.
This solar cell model consists of a current source (Iph), series resistance (Rs) which
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representing the resistance inside the each cell as well in the connection between the
cells, and a diode [9]. The difference between Iph and ID will give the net current
output from the solar cell.
Figure 2.9: Model for single solar cell
The mathematical equation can be represented as in equation 2.1. The
equation is actually using Kirchhoff Current Law (KCL) and also diode Shockley
equation. The m is the representation of idealizing factor, kBoltzmans gas constant,
Tc will be absolute temperature of the cell, e will be electric charge, andVwill be the
voltage implied across the cell. Io is saturation current in dark surroundings and
depends on the temperature [9].
(2.1)
The solar cell has certain parameters, such as short circuit current, open circuit
voltage, maximum power point, maximum efficiency, and fill factor. Short circuit
current is the best current produced when the solar cell under short circuited situation
which means the voltage as zero. In other word Isc = Iph. Then another parameter of
solar cell is open circuit voltage. This open circuit voltage can be obtained during
night time (dark) whereby the current produced is zero and related to voltage drop
across the diode.
Ipv
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It can also represented by mathematical equation such as in equation 2.2 whereby
is known as thermal voltage and Tc is the absolute cell temperature.
(2.2)
Maximum power point is another parameter that being used in the solar cell
operation whereby it states the maximum power dissipated at the load. Referring to
Figure 2.9 courtesy from Model for Stand Alone PV system by Anca D Hansen, the
maximum operating point is depicted in the said figure.
Figure 2.10: A typical current-voltage (I-V) curve for a solar cell.
Maximum efficiency is another parameter for solar cell need to be considered
as well. Maximum efficiency in the solar cell context means the ratio betweenincident light power and maximum power. The equation 2.3 depicts clearly and as Ga
is the ambient irradiation as well theA is the cell area.
(2.3)
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Fill factor (FF) is another parameter used in the solar cell analysis. Fill factor
can be defined as how close theI-Vcurve can get close to be a square wave. Another
definition of fill factor is the ratio of maximum power that can be delivered to the
load compared to Isc and Voc. In equation 2.4, the formula is shown clearly.
(2.4)
The PV system normally uses solar panels, which is in arrays. There are many
types of PV system, starting from a cell up to arrays. This is shown in Figure 2.11.
Figure 2.11: The PV from cell to module
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In ensuring protection for solar cells and electrical connectors from the raging
environment the cells were grouped together into modules As depicted in Figure
2.12, the manufacturer normally supplies the module with Npm(number of parallel
module) and in the each branch with Nsm (number of cells in series).
Figure 2.12: PV module consists of parallel and series cells
As shown in Figure 2.13, the PV modules in Figure 2.12 now are connected in
arrays. Figure 2.13 clearly shows that an array with Mp (module in parallel) parallel
branches each with Ms (module in series).
Figure 2.13: Solar cells array consist of Mp parallel branches each with Ms Modules in
series
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The arrangement of the module is also plays a big role in terms of efficiency.
In the Figure 2.14, show different types of module connection. The A configuration
have demonstrated efficiency up to 97.2% while configuration B efficiency at 96.8%
and C at 96.2% [10].
Figure 2.14: Series-parallel configuration for PV generator
2.4 Grid Connected PV System
In this subtopic the detail explanation on how the solar cell being bring into
the big picture of energy generation will be discussed in depth. A grid connected PV
system also known as utility interactive PV system, whereby it feed solar electricity
directly to a utility power grid. For a general knowledge about we are discussing,
kindly refer to Figure 2.15.
Figure 2.15: Grid-connected PV System
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This grid connected PV System, consists of a PV Generated, an array of PV
modules converting solar energy to DC electricity and an inverter also known as a
power conditioning unit that converts direct current generated by PV to alternating
current for the grid usage. Surge protector and load are also the grid-connected PV
components.
When the sun shines, the DC power generated by the PV modules is converted
to AC electricity by the inverter. This AC electrical power can either be supply the
systems AC load and the excess energy output transmit to the utility grid. Figure2.16 will give basically the detail component about the grid connected PV system.
Referring to Figure 2.16, a first protection level is formed by fuses and
blocking diodes between the PV array output and the main DC conductor. Surge
protection elements have to be included at the inverter input and output as well. The
grid-connected PV system can be classified by its sizing whereby from 1-10kWh is
considered as small scale and normally for the domestic usages. While medium size is
defined from 10kWh to 100kWh and these kind of system is known as building
integrated PV (BIPV). The system with output of 500kWh MWh is considered as
large size and normally operated by electric companies [11].
Figure 2.16: A detailed Grid-Connected PV System
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2.5 Solar Cell and its Characteristics
This subtopic will be discussing in depth about the solar cell and its
characteristics. The I-V curve, crucial parameters from manufacturers datasheet,
effect on the I-V curve when theres change on solar radiation and temperature as
well the mathematical equation used for modeling in this project shall be discussed in
this subtopic which will help to have deeper understanding in verifying the solar
modeling later part of the project.
Figure 2.17: CharacteristicI-Vcurve of a practical photovoltaic device [13]
Figure 2.17, depicting the solar cell I-V curve of a practical photovoltaic
device where it is clearly notice that when voltage is short circuit, the short circuit
current (Isc) happens and also practically given in the manufacturers data sheet. On
the other hand when the circuit is open, theres no current flow and the point is
known as the open voltage (Voc) also given by the manufacturers datasheet. Anotherparameter also available to us thru the data sheet is the maximum current and voltage
point. These three main points will be used later part in verifying our modeling.
For a solar cell, the non-linear relationship means the maximum power point
has to be determined by calculating the product of the voltage and output current. In
order to extract maximum power from the solar cell, the solar cell must always be
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operated at or very close to where the product of the voltage and output current is the
highest. This point is referred to as the maximum power point (MPP), and it is located
around the bend or knee of the I-V characteristic [13].
Figure 2.18: CharacteristicI-Vcurve of the photovoltaic cell [13]
From Figure 2.18 it can be concluded that photovoltaic is a non-linear device
and using Figure 2.19 a great height of understanding can be achieved as the Ipv is the
light generated current and the Id is the diode current andI is the net cell current
composing both Ipv and Id.
Referring to Figure 2.17, it can also be understood that from the operating
characteristic of a solar cell consists of two regions: the current source region, and the
voltage source region.[10]. Whereby in the current source region, the internal
impedance of the solar cell is high and this region is located on the left side of the
current-voltage curve (0, Isc.).
While the voltage source region, where the internal impedance is low, is
located on the right side of the current-voltage curve (Voc, 0). As can be observed
from the characteristic curve, in the current source region, the output current remains
almost constant as the terminal voltage changes and in the voltage source region, the
terminal voltage varies only minimally over a wide range of output current [10].
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According to the maximum power transfer theory, the power delivered to the
load is maximum when the source internal impedance matches the load impedance
[14]. For the system to operate at or close to the maximum power point (MPP) of the
solar panel, the impedance seen from the input of the maximum power point tracker
needs to match the internal impedance of the solar panel. Although controlling these
points can produce a better voltage yield yet, the temperature and solar radiation is
just unpredictable. Thats another reason why many research are being also conduct
to have smart solar system.
Figure 2.19(a): Characteristic shown on the influence of ambient irradiation [15]
Figure 2.19(b): Characteristic shown on the influence of cell temperature [15]
When the solar radiation changes the current produced is also change
accordingly for an example when the solar radiation increase increases, clearly from
Figure 2.19(a) clearly depicts that the short circuit current will increase and vice
versa. Figure 2.19(b) shows the response from solar cell when theres a change on the
temperature. When the cell temperature decreases the open circuit voltage shifts to a
lower voltage and thus the changes in solar radiation and temperature shifts the
maximum power point operation, which can influence the overall performance. Thru
this Figure 2.19(a) and (b), it can be concluded that solar radiation and cell
temperature are two most important parameters that should be considered while
modeling the photovoltaic.
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Normally in the practical world, solar cell can be connected in many different
manner as discussed earlier it can be connected in series or parallel. Figure 2.20
shows the responses on theI-Vcurves when the two identical cells are connected in
series and in parallel. Referring to Figure 2.20, for a series connection, the voltage
would be increased and the analysis would be adding the voltages for each current,
while for parallel connection, current of each individual cell can be add up at each
voltage in order to arrive at the same response as depicted in Figure 2.20.
Figure 2.20 (a): TheI-Vcurve responses with two identical cells connected in series
Figure 2.20 (b): TheI-Vcurve responses with two identical cells connected in parallel
As the discussion on the solar cell characteristics and also on how the
surroundings factor effect on the solar cell have come to an end. It would be very
helpful in modeling and verification if the right understanding about standard testing
condition well known as STC in reading the manufactures data sheet is understood.
STC conditions known as the reference vertical irradiance Eo with a typical value of
1000W/m2, the cells reference temperature for performance rating, To with a typical
value of 25 C and a tolerance of 2C; and a specified light spectral distribution with
an air mass, AM =1.5. The air mass (AM) figures provide a relative measure of the
path the sun must travel through the atmosphere.[16]
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Furthermore in supplying the performance parameters at the Standard Test
Conditions manufacturers also provide performance data under the Nominal
Operating Cell Temperature (NOCT) [16]. This is known as the temperature reached
by the open circuited cells in a module under the following conditions:
Irradiance on cell surface is 800W/m2 [16]
The ambient temperature is 20 C (293 K) [16]
Wind speed is 1m/s with the mounting is open back side [16]
According to Evans, 1981 formula the cell temperature Tc (o
C) is related to themean monthly ambient temperature, Ta (
oC) and this formula will be used in this
project to as a parameter input, and given in the expression below
(2.5)
where (NOCT) is the Nominal Operating Cell Temperature and is the monthly
clearness index (range between 0.2 for a very overcast climate and 0.8 for a very
sunny climate) [16]
As for familiarization, Figure 2.21 is taken from Sharp NE-80EJEA solar cell
which depicting its electrical characteristics and the important parameter that need to
be used during the modeling time for an example number of cells and the connection
type This literature will come in handy to understand the modeling process in Chapter
3 later on. Besides that Figure 2.22 also were included in order to familiar the reader
with the I-Vcurve, and these is the type of graph from manufacturer which will be
helpful during verification process after the modeling. TheI-V curve clearly also
shows to us on how the solar radiation will play its role in the current generated from
the solar cells.
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Figure 2.21: Electrical characteristics of Sharp NE-80EJEA solar cell
Figure 2.22: Electrical characteristics of Sharp NE-80EJEA solar cell
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The efficiency, of the solar module is another crucial criterion that needs to
consider before selecting the module. This efficiency mostly influence by the
temperature. The equation of the efficiency and energy of the solar module are shown
as following and Table 2.2 shows to us the PV module characteristics for standard
technologies [17]
p = rx [1 p (Tc Tr)/100] (2.6)
whereby given
r= PV module efficiency at reference temperature (Tr= 25o
C)p = Temperature coefficient for module efficiency (% /
oC)
Tc = Surrounding Temperature
Tr= Reference Temperature (25oC)
Table 2.2: PV module characteristic for standard technologies
PV module type r (5) NOCT (oC) p(% /
oC)
Mono-Si 13.0 45 0.40
Poly-Si 11.0 45 0.4
a-Si 5.0 50 0.11
CdTe 7.0 46 0.24
CIS 7.5 47 0.46
In order to determine the effectiveness of PV system the efficiency of the PV
module plays a big role. Theres plenty of factor that can affect the efficiency of the
PV system such as natural climatic conditions of the place where the system is to be
used, optimal matching of the system with the load, appropriate spatial placement of
the modules (placing the modules at an optimal inclination angle to the horizontal
plane) and availability of a concentrator (reflector) and or solar tracking mechanism
in the system [17].
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This project will emphasize more on the energy delivered by the PV array, Ep,
and energy that available to the load Ea. As both these parameter are given by the
formula as in equation 2.7 and equation 2.8. In addition to that, as the energy pass
thru the inverter there will some losses depending on the inverters efficiency which
is given by the equation 2.9 and after the energy travel thru the grid, there will be
some energy absorption in the grid that need to be considered which is given in the
equation 2.10 [15].
(2.7)
whereby given:
p = array average efficiency
A = area of the array
= solar radiation
Ep = energy delivered by the PV array
(2.8)
whereby given:
p = miscellaneous PV array losses
c = other power conditioning losses
Ep = energy delivered by the PV array
EA = energy available to the load
(2.9)
whereby given:
EA = energy available to the load
inv = inverter efficiency
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(2.10)
whereby given:
Edlvd = energy delivered to load
abs = PV energy absorption rate
Egrid = energy available to the load
2.6 Converters and Inverters
The rise of power electronics in the industry have always been a factor for the
growth in the PV system. As for that, this literature review will be incomplete without
the power electronic discussion. As gratitude and to pay some tribute for the works
done in the power electronic world some basic power electronics shall be covered
here. The role of power electronic converters is to provide power to the user in a
suitable form at high efficiency. Power electronic converters are needed in PV
systems to convert direct current (DC) voltage to the required values and to convert
from DC to alternating current (AC) and vice versa [18]. In addition they control the
charging and discharging of batteries in systems where batteries are storage elements
especially for the standalone PV system
One of the simplest power electronics circuits is the buck converter and
basically consists of an inductor, a power electronic switch (usually a MOSFET or an
IGBT) and a diode. It may have a capacitor to smooth the output. Its function is to
step down DC voltage as depicted in Figure 2.23.
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Figure 2.23: The Schematic of a Buck Converter [18]
If the switch is turned on and off repeatedly at very high frequencies (10kHz !
100MHz) and assuming that in the steady state the output will be periodical then[18]:
vo(t + T) = vo (2.11)
io(t + T) = io (2.12)
The current in the load is given by IR= Vo/R. The average DC component ofthe capacitor current must be equal to zero otherwise the capacitor voltage will be
increasing and there will be no periodic steady state. If the switch is turned on and off
repeatedly at very high frequencies such as 10kHz to 100MHz and assuming that in
the steady state the output will be periodical then:
(2.13)
Likewise the DC component of voltage across the inductor has to be zero:
(2.14)
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The duty ratio D is defined as the fraction of the switch period during which the
switch is on given by:
(2.15)
The average voltage across the inductor will be given by:
(2.16)
After solving we will get
(2.17)
It can be seen that the output voltage is always less than or equal to the input
voltage (0 D 1). The converter may operate in the continuous conduction mode
CCM or the discontinuous conduction mode DCM. In the CCM the inductor current
is always greater than zero while in the DCM the inductor current is zero during
certain portions of the switching period. In some applications both modes may be
mixed. The filter inductor that determines the boundary is given by [18]:
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(2.18)
Typically D = 0:5, R = 10, and f = 100 kHz, the boundary is Lb = 25H [18].
Thus for any inductance larger than this value the buck converter will operate in the
continuous conduction mode. In order to limit the ripple across the dc output voltage
Vo to a value below a specific value Vr, the filter capacitance C must be greater than
in the equation 2.19. The key design for buck mainly lies in the equation 2.18 and
equation 2.19.
(2.19)
Next we will view on the inverter, inverter is basically quite famous and a hot
topic in the world of power electronics. In PV world, inverter plays a key point role as
its efficiency is also taken into accountability for the success of PV system. Due to
the PV output is in DC form, the inverter will convert the DC to AC current. The
inverter is characterized by the power dependant efficiency. Inverter plays the
important role by keeping the voltage on AC side constant as well to perform power
conversion from the input to output at efficient rate. The formula is given by equation
2.20 [9].
Figure 2.24: Connection of Inverter
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(2.20)
There many inverters topologies, from three level up to multilevel inverters
are there for usage and there are also several topologies exist for both single phase
and multi-phase inverters. For an example is a full bridge single phase inverter shown
in Figure 2.25. It consists of four switches that are turned is such a way that within a
branch the upper and lower switches are never on at the same time to avoid short-
circuiting the DC source.
Figure 2.25: Fullbridge Voltage Source Inverter
The inverter consist of four defined states and one undefined state as shown in
Table 2.3. There are plenty of modulating techniques can be used to control the
switching of the inverter switches but one common rule for all of them must avoid the
undefined state and the short circuit conditions. There are two general types of
inverters namely, square wave inverters (line frequency switching) and pulse width
modulation PWM inverters (high frequency switching) depending on the switching
techniques used. The norm practice to avoid the short circuit condition is by a very
small time interval must be inserted between the turning off one switch and turning
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on the other. This short time interval time is referred to as the blanking time and
largely depends on the type of semiconductor switch employed.
Table 2.3 The Switches State for a full bridge single phase inverters
State Switch States Van Vbn Vo
1 S1+ and S2- are on and S1- and S2+ are off Vdc / 2 -Vdc / 2 Vdc
2 S1+ and S2+ are on and S1- and S2- are off -Vdc / 2 Vdc / 2 -Vdc
3 S1+ and S2+ are on and S1- and S2- are off Vdc / 2 Vdc / 2 0
4 S1- and S2- are on and S1+ and S are off -Vdc / 2 -Vdc / 2 0
5 S1-, S1+, S2- and S2+ are all off -Vdc / 2 Vdc / 2 - Vdc
2.7 Related Works
In this section some of the essence that have been contributed by many
researches that had the common interest on photovoltaic system will be glance thru
and our greatest gratitude to all of them for their contribution which came in handy in
making things easier for understanding and take this project to another level.
Huan-Liang Tsai thru the Development of Generalized Photovoltaic Model
Using Matlab/Simulink paper has suggested many types of models for solar cell
modeling. Each model will yield different types of mathematical equation due to
different number of components in the circuit. Figure 2.26 shows four types of
different PV cell models.
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Figure 2.26: Equivalent circuit models of PV cell
The writer have summarize there are four types of models and each have their
own mathematical equation for current generated. In his work modeling work, the
appropriate model was used for the modeling purposes. Many researcher prefer to use
the appropriate model and general model for their modeling because basically the
simplified models doesnt reflect the real case scenario while the double shunt diode
in double exponential model doesnt have much influence.
Having said so, I.H Altas in hisA photovoltaic Array Simulation Model for
Matlab/Simulink GUI environmentwork used the appropriate model while Francisco
M.Gonzalez inModel of Photovoltaic Module in MATLAB models his work using the
general model .Even though the PV efficiency is insensitive to the presence of shunt
resistor in general model still M.G.Villalva in his workModelling and Circuit-based
Simulation of Photovoltaic Arrays have used this modeling to accomplish his
verification with manufacturers data sheet. This project work was inspired by
M.G.Villalvas work, hence the general model have been used throughout this thesis.
Below are the mathematical equation suggested by Huan-Liang Tsai[19] and Omid
Shekoofa [20]
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(2.21)
whereby equation 2.21 given for the general model:
IPH is a light-generated current or photocurrent
IS is the cell saturation of dark current,
q = 1.6 1019C is an electron charge,
k(= 1.38 1023J/K) is a Boltzmanns constant,
TC is the cells working temperature,
A is an ideal factor depending on PV technology,RSH is a shunt resistance,
RS is a series resistance.
(2.22)
whereby equation 2.22 given for the double exponential model:
Jcell current density
Vcell voltage
Jph induced photocurrent density
Jd1 dark current density due to the carriers diffusion
Jd2 dark current density due to the carriers recombination
Eg band gap energy
Rs series resistance
Rp shunt resistance
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(2.23)
whereby equation 2.23 given for the appropriate model:
IPH is a light-generated current or photocurrent
IS is the cell saturation of dark current,
q = 1.6 1019C is an electron charge,
k(= 1.38 1023J/K) is a Boltzmanns constant,
TC is the cells working temperature,
A is an ideal factor depending on PV technology,RS is a series resistance
(2.24)
whereby equation 2.24 given for the ideal model:
IPH is a light-generated current or photocurrent
IS is the cell saturation of dark current,
q = 1.6 1019C is an electron charge,
k(= 1.38 1023J/K) is a Boltzmanns constant,
TC is the cells working temperature,
A is an ideal factor depending on PV technology,
In this related work section, we also found that there are three types of
modeling input parameter, first is just temperature or solar radiation as an input
parameter only, which is a less complicated circuitry. While the second one is, having
both parameter which better represents the PV system although the system is
complicated. The third one is the best representation of all whereby it takes into
consideration the solar radiation on horizontal surface, beam irradiance, diffuse
irradiance the zenith angle of the sun, the inclination of the PV array, wind speed,
longitude and latitude as an input parameter which is a real challenging work. In this
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project work, we choose to use both solar radiation and temperature as an input
parameter as suggested as used by many researchers such as Anca D.Hansen, Huan-
Liang Tsai and M.G.Villalva.
Another finding, we manage to grasp while doing this related work research
that, some of the researchers prefer to use completely mathematical modeling such as
Omid Shekoofa [20], while others use completely a circuitry approach like
Adedamole Omole [10]. In this thesis, we choose to model it using both mathematical
modeling combining circuitry like suggested by the I.H Altas [21].
Many of the researchers have done the PV modeling using plenty of different
softwares like PSPICE, PVSIM, MATLAB, and MATLAB/SIMULINK. There
various method proposed by these researchers like purely programming using Matlab
Script whereby the experimented curve fitting process done first before modeling
them. In other cases, SIMULINK models being used to model but the graphical user
interface not been applied, hence its not so user friendly. As to add in contribution to
the PV world, we have landed with using the Matlab Script as well Matlab/Simulink
together with graphical user interface to make it user friendly
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CHAPTER III
MODELING USING MATLAB/SIMULINK
3.1 Introduction
The MATLAB/SIMULINK software will be used for the modeling and
simulation purposes. This software prepares all the electrical and mathematical blocks
that needed in the project underPower System Blockset, Signal Routing and Math
Operations (Simulink).This software is easy to use as it is more on graphical user
interface pertaining to building or modeling any circuits or mathematical equations.
Through this chapter, hopefully the reader will be able to grasp some idea on
the usage of MATLAB/SIMULINK software. In addition, the method and steps in
modeling the solar cell up to PV array are shown clearly. The modeling was done by
stages. The first stage was modeling the mathematical equation for the Shockley
diode current and the light generated photovoltaic current and later part will be
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extended for the array model. On the second stage will be modeling for the cell
temperature and also the energy delivered model for the third stage.
Figure 3.1: First stage in modeling the solar cell
Figure 3.2: Second stage in modeling the solar cell
Stage 1
Modeling the solar cell
Modeling mathematical
equation for Io
Modeling mathematical
equation for Ipv
Stage 2
Modeling the solar cell & cell temperature
Modeling mathematicalequation for Im (model
current
Modeling the cell
temperature equation Tc
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Figure 3.4: Parameter for resistor block
In order to have just resistor element, just pull down the menu in parameters
block under branch type for only R element. In a older version of MATLAB /
SIMULINK this menu will be different, just type in the resistor value while the
inductor value set to 0 (which means short-circuit) and for capacitor set the value to
infinity (inf).
Figure 3.5 shows the mathematical modeling for the reverse current saturation
(Io/IRS) at the reference temperature which given by the equation 3.1 as below.
(3.1)
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Figure 3.5: Mathematical Modeling Implementation for Io
Figure 3.6 shows the mathematical modeling for the light generated current of
the photovoltaic cell which depends linearly on the influence of temperature and solar
radiation as given by the equation 3.2 below.
(3.2)
Figure 3.6: Mathematical Modeling Implementation for Ipv
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Figure 3.7 shows the mathematical modeling for the model current Im
referring to the appropriate model circuit as in Figure 2.26 for which given by the
equation 3.3 below.
(3.3)
Figure 3.7: Mathematical Modeling Implementation for model current Im
Figure 3.8 shows the mathematical modeling implementation for the cell
temperature (Tc) as given by the equation 2.5 earlier. In order to have a neat block
diagram, this mathematical model then been made to subsystem. This can be achieved
by selecting the block with Ctrl+A button on the keyboard and right-click on mouseto choose in order to create subsystem. Hence, to have user friendly model, repeat the
same process and choose mask subsystem. Figure 3.9 and Figure 3.10 results from
create subsystem and masking process.
In Figure 3.9, MET temp1 is the temperature input gathered from
meteorological department while Cell Temp input1 in the block is for the cell
temperature Tc.
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Figure 3.8: Mathematical model for cell temperature (Tc)
Figure 3.9: The cell temperature block after subsystem process
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Figure 3.10: An Example of the menu after Mask Process
Figure 3.11 depicts the PV array modeling, and Figure 3.12 shows the
circuitry modeling part. Figure 3.13 depicts PV array after the mask process and itsuser friendly menu in Figure 3.14. In Figure 3.15, the energy delivered block shown
and the user friendly menu shown in Figure 3.16. The whole system is shown in
Figure 3.17
Figure 3.11: PV array modeling
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Figure 3.12: Circuitry Design for PV
Figure 3.13: Mask of PV Array
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Figure 3.14: The PV Menu after Mask Process
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Figure 3.17: The Whole PV System with Load
The diode in the system is to prevent the back current to flow. While the
isolation transformer used to smooth and isolate the load directly from universal
bridge which act as an inverter. Pulse block is a PWM (pulse width modulation)
generator to drive the inverter in the circuit.
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CHAPTER IV
SIMULATION RESULTS AND DISCUSSION
4.1 Introduction
The mathematical block and circuit modeling simulated using SIMULINK,
one of the MATLAB components. Before simulating the circuit, the simulink
POWERGUI block will be set to discrete mode and the sampling time, Ts = 5.144e-
006. The next step will be configuring the simulation parameters. This can be done by
following the steps shown in Figure 4.1 and Figure 4.2
In this chapter, the simulation of single junction different technology PV will
be viewed and verified thru the manufacturers datasheet. The next stage will be
simulation of the grid connected PV system and analysis thru energy output and also
verification thru actual case study with different PV technology. Case study 1
conducted with the polycrystalline technology while Case study 2 conducted using
the amorphous silicon technology. Energy output yield from implementing the Case
study 1 and Case study 2 using MATLAB / SIMULINK were analyzed and later will
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be verified using the actual monitored data from the photovoltaic monitoring center in
UiTM (University of Technology MARA)
Figure 4.1: Setting the Simulation Parameter
Figure 4.2: Configuring the simulation parameter
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4.2 Simulation of Single Junction and Verification
In this subtopic, the MSX-60 simulation results will be discussed by varying
the hourly input of solar radiation and ambient temperature. This simulation and
model verification work done based on manufacturers data sheet.
Figure 4.3, shows the I-V curves from the MSX-60 datasheet, while Figure
4.4 to Figure 4.7 shows the results from the simulation when cell temperature act as a
variable while the solar radiation was set to 1kW/m2
. On the other hand, Figure 4.8 toFigure 4.11 shows results from the simulation when cell temperature was constant at
25C while the solar radiation acts as a variable. The simulation results show clear
accuracy it changes accordingly to the temperature and solar irradiance factors. This
also verifies the theoretical that had been discussed in page 31.
Figure 4.3: The I-V curve from BP Solar MSX-60 datasheet
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Figure 4.4: Simulation Output when the Tc = 0 C and Sx = 1kW/m2
Figure 4.5: Simulation Output when the Tc = 25 C and Sx = 1kW/m2
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Figure 4.6: Simulation Output when the Tc = 50 C and Sx = 1kW/m2
Figure 4.7: Simulation Output when the Tc = 75 C and Sx = 1kW/m2
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Figure 4.8: Simulation Output when the Tc = 25 C and Sx = 0.4kW/m2
Figure 4.9: Simulation Output when the Tc = 25 C and Sx = 0.6kW/m2
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Figure 4.10: Simulation Output when the Tc = 25 C and Sx = 0.8kW/m2
Figure 4.11: Simulation Output when the Tc = 25 C and Sx = 1.0kW/m2
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The simulation results validate the manufacturers data sheet and also confirm
the theory that has been discussed earlier. Whereby when the solar temperature (Tc) is
made constant at Tc = 25 C and solar radiaton (Sx) was made variable the current
generated by the solar cell also changes accordingly. When the solar radiation
increases, clearly from Figure 4.8 to Figure 4.11 show that the short circuit current
will increase and vice versa.
On the other hand, when the solar radiation (Sx) was set as a constant value,
while the cell temperature Tc set as a variable, the open circuit voltage shifts to a
lower voltage as in Figure 4.4 to 4.7, and resulting in the changes of the maximumpower point operation, which can influence the overall performance. Thru this two
parameters, can conclude that the model still valid and verified.
4.3 Case Study 1
The case study 1 was performed using Pusat Tenaga Malaysia (PTM ZEO 1)
and for the data verification, the data was available from PVMC monitoring centre.
Table 4.1 show details information for the types of PV technology and inverter used.
Table 4.1: Details of Case Study 1
Site PTM ZEO 1
Location Bandar Baru Bangi, Selangor
Type of System Grid Connected
Nominal Power 45.36 kWh
PV module Mitsubishi PVMF120EC3 (polycrystalline)
Inverter Fronius IG500
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Table 4.2 to Table 4.4 shows the energy yield for the year 2008 for Case study
1 and Case study 2 where it consists of simulated results and the actual monitored
data. Each case study was analyzed with different known as the monthly
clearness index which ranges from 0.2 up to 0.8. For Malaysia climate the value
ranges 0.45 up to 0.55. Figure 4.12 to Figure 4.14 shows the simulated results and
actual monitored data.
Table 4.2: Energy Output with = 0.45
Figure 4.12: Energy Output with = 0.45
0
1000
2000
3000
4000
5000
6000
Jan Feb Mac April May June July Aug Sept Oct Nov Dec
kWh
ENERGY OUTPUT(kWh) in 2008
ENERGY OUTPUT(kWh)-SIMULATION ENERGY OUTPUT(kWh)-UITM
Month Jan Feb Mac April May June July Aug Sept Oct Nov Dec
SIMULATION
(kWh)4717 4849 4759 4460 4510 4514 4551 4830 4405 5222 4409 4257
ACTUAL
MONITORED
DATA
(kWh)
4786 4064 4434 4637 2932 4210 3935 3915 4758 4811 4423 4221
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Table 4.3: Energy Output with = 0.50
Figure 4.13: Energy Output with = 0.50
Table 4.4: Energy Output with = 0.55
0
2000
4000
6000
Jan Feb Mac April May June July Aug Sept Oct Nov Dec
kWh
ENERGY OUTPUT(kWh) in 2008
ENERGY OUTPUT(kWh)-SIMULATION ENERGY OUTPUT(kWh)-UITM
Month Jan Feb Mac April May June July Aug Sept Oct Nov Dec
SIMULATION
(kWh)4690 4821 4731 4435 4483 4487 4525 4802 4379 5191 4383 4233
ACTUAL
MONITORED
DATA
(kWh)
4786 4065 4434 4638 2933 4211 3936 3916 4759 4811 4423 4222
Month Jan Feb Mac April May June July Aug Sept Oct Nov Dec
SIMULATION
(kWh)4662 4792 4703 4408 4457 4461 4498 4774 4353 5160 4357 4208
ACTUAL
MONITORED
DATA
(kWh)
4786 4065 4434 4638 2933 4211 3936 3916 4759 4811 4423 4222
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Figure 4.14: Energy Output with = 0.55
In conclusion, the used of equals to 0.55 in the model indicate the most
suitable and nearest to the actual monitored output. The simulated results differs
7.23% - 8.52% due to some practical constraint such as the beam radiance, diffuseradiance, the zenith angle of the sun, the incidence angle of beam irradiance on the
array have not been taken into modeling consideration.
4.4 Case Study 2
The case study 2 was performed using Pusat Tenaga Malaysia (PTM ZEO 1) and for
the data verification, the data was available from PVMC monitoring centre. Table 4.5
show details information for the types of PV technology and inverter used.
0
1000
2000
3000
4000
5000
6000
Jan Feb Mac April May June July Aug Sept Oct Nov Dec
kWh
ENERGY OUTPUT(kWh) in 2008
ENERGY OUTPUT(kWh)-SIMULATION ENERGY OUTPUT(kWh)-UITM
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Table 4.5: Details of Case Study 2
Site PTM ZEO B
Location Bandar Baru Bangi, Selangor
Type of System Grid Connected
Nominal Power 6.08 kWh
PV module Kaneka GPA 064 (amorphous silicon)
Inverter Fronius IG60
Table 4.6 to Table 4.8 shows the energy yield for the year 2008 in this case
study location whereby it consists of simulated results as well as actual monitored
data. Each case study will be analyzed with different as per discussed earlier for
Malaysia climate the value ranges 0.45 up to 0.55. Figure 4.15 to Figure 4.17 shows
the simulated results and actual monitored data.
Table 4.6: Energy Output with = 0.45
Month Jan Feb Mac April May June July Aug Sept Oct Nov Dec
SIMULATION
(kWh)678 698 683 641 649 648 653 694 633 750 633 611
ACTUAL
MONITORED
DATA
(kWh)
719 741 779 762 751 701 691 713 719 757 680 627
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Figure 4.15: Energy Output with = 0.45
Table 4.7: Energy Output with = 0.50
Figure 4.16: Energy Output with = 0.50
0
500
1000
Jan Feb Mac April May June July Aug Sept Oct Nov Dec
kWh
ENERGY OUTPUT(kWh) in 2008
ENERGY OUTPUT(kWh)-SIMULATION ENERGY OUTPUT(kWh)-UITM
0
200
400600
800
1000
Jan Feb Mac April May June July Aug Sept Oct Nov Dec
kWh
ENERGY OUTPUT(kWh) in 2008
ENERGY OUTPUT(kWh)-SIMULATION ENERGY OUTPUT(kWh)-UITM
Month Jan Feb Mac April May June July Aug Sept Oct Nov Dec
SIMULATION
(kWh)677 697 682 640 648 647 652 693 632 749 632 611
ACTUAL
MONITOREDDATA
(kWh)
719 741 779 762 751 701 691 713 719 757 680 627
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Table 4.8: Energy Output with = 0.55
Figure 4.16: Energy Output with = 0.55
In conclusion, case study 2 the with the value of 0.45 more suited in
representing the actual monitored output. The simulated results differ from 7.71% to
8.01% due to some practical constraint as discussed earlier. In this case, a different
value of best represent due to the geographical factor.
Overall findings indicate that this MATLAB modeling can be further used for
investigation and make improvement in order to identify which best technologies to
be implemented. Another conclusion that can be drawn, the polycrystalline PV
System yields higher energy output compared to the amorphous silicon technology.
0
200
400
600
800
1000
Jan Feb Mac April May June July Aug Sept Oct Nov Dec
kWh
ENERGY OUTPUT(kWh) in 2008
ENERGY OUTPUT(kWh)-SIMULATION ENERGY OUTPUT(kWh)-UITM
Month Jan Feb Mac April May June July Aug Sept Oct Nov DecSIMULATION
(kWh)676 696 681 639 647 646 651 692 631 748 631 611
ACTUAL
MONITORED
DATA
(kWh)
719 741 779 762 751 701 691 713 719 757 680 627
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CHAPTER V
CONCLUSION AND DISCUSSION
5.1 Introduction
In this chapter, all the findings will be summarized and analyze on how far the
research objectives were met. Finally, some suggestions on the research work will be
conclude. Its a mountain hope that thru these suggestions, many other interested
researchers can improve this work as well add in more contribution towards the PV
world. Hopefully this work can be some basic guidance for those who are seeking.
5.2 Summary
The main objective of this project is to analyze the impact of different
technology on the PV system. Besides that, it also intends to study the single cell
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circuit model and simulate the single junction. Hence in modeling the single solar cell
two important parameters need to be model such as temperature and solar radiation.
As collectively, this project has successfully met its objectives. In terms of
modeling the circuit, four important solar cell models have been viewed, and the
appropriate model chosen to be model as it can be a basic and user-friendly for all the
single junction different technology PV system. Thru the model verification and
validation process, the strength of this thesis and also weakness have been identified.
By the case study done, polycrystalline technology yield is proven higher thanamorphous silicon technology. Hence in selecting the best PV technology actually it
depends on the usage and also niche e area on where the PV system would be applied.
Finally thru verification using the actual monitored system, the grid connected model
can be use for energy output estimation and its a user friendly system.
5.3 Suggestion
Theres always room for improvement, hence all the suggestion given here to
help the other interested researchers to continue this journey in future. The first
suggestion is that in the modeling part, instead of just modeling two parameters which
is solar radiation and cell temperature, perhaps beam radiance, diffuse radiance, the
zenith angle of the sun, the incidence angle of beam irradiance on the array and the
ratio of beam radiation on the PV array to that on the horizontal should taken into
account while modeling to have better accuracy simulation results which will help in
estimating energy output while designing the PV system.
Another research suggestion is on the analysis part where the efficiency of the
PV system also can be studied. On the other hand, the smart PV panel is another
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interesting part to work on as the maximum power point changes according to cell
temperature and solar radiation. The maximum power point tracking system can be
studied using the artificial intelligence to have better yield of energy output. As grid
connected project concerns the power electronics, the inverters also can be studied
too in achieving a better and quality energy output.
Finally, all the studies go in vain if the market is not convinced to use PV
system. Having said so, the economic impact studies should be conducted. This study
can be in terms of payback period, initial cost and total cost as well as how to
implement the grid connected PV system in Malaysia can also a great and helpful;research work.
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REFERENCES
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[2] PVSIM : A Simulation Program for Photovoltaic Cells, Modules, and Arrays
by David L. King, James K. Dudley, and William E. Boyson Sandia National
Laboratories
[3] A Model of PV Generation Suitable for Stability Analysis by Yun Tiam Tan,
Student Member, IEEE, Daniel S. Kirschen, Senior Member, IEEE, and
Nicholas Jenkins, Senior Member, IEEE
[4] Circuit Simulation Of Photovoltaic Systems For Optimum Interface Between
PV Generator And Grid by Federico ScapinoIEEE member
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de Puissance de Lille, France
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Mongkuts University of Technology Thonburi, Bangkok, Thailand
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[8] http://www.met.gov.my (Jabatan Meterologi)
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Tropical Greenhouse Cooling" , Biological and Agricultural EngineeringDepartment, University Putra Malaysia (UPM
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Simulation of Photovoltaic Arrays University of Campinas-Brazil.
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Systems, World Climate & Energy Event, December 2003
[15] Anca D.Hansen, Poul Sorensen, Cars H.Hansen, and Henrik Bindner, Model
for a Stand Alone PV System Sandia Laboratory
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[19] Huan-Liang Tsai Development of Generalized Photovoltaic Model using
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