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Photovoltaic System Integration for
Roehampton Vale Campus, Kingston
University London
Omar Hamdan
Supervised by: Dr. Paul Wagstaff
MSc Renewable Energy Engineering
October 2012
Faculty of SEC, Kingston University
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Table of Contents
List of Figures ............................................................................................................................... VI
List of Tables............................................................................................................................... VIII
List of Equations ........................................................................................................................... IX
Chapter One .................................................................................................................................. 1
1.1.0 Introduction .......................................................................................................................... 2
1.2.0 Building Integrated PV System .............................................................................................. 5
1.3.0 Solar Radiation and Solar Constant ....................................................................................... 7
1.4.0 Geometrical Considerations: ................................................................................................. 8
1.4.1 The Declination angle............................................................................................................ 9
1.4.2 Solar Hour Angle ................................................................................................................... 9
1.4.3 The Latitude angle .............................................................................................................. 10
1.4.4 The Sunset Hour angle ........................................................................................................ 10
1.4.5 Slope Angle ......................................................................................................................... 10
1.4.6 Surface Azimuth angle ........................................................................................................ 10
1.4.7 Angle of Incident ................................................................................................................. 10
1.4.8 Zenith Angle ........................................................................................................................ 11
1.5.0 Solar Radiations reaches a specific tilted surface ................................................................. 11
1.5.1 Clearness Index: .................................................................................................................. 12
1.5.2 Calculating of Hourly Global and Diffused Irradiance ........................................................... 12
Chapter Two ................................................................................................................................ 15
2.1.0 System Components ........................................................................................................... 16
2.1.1 Solar Cell Basics: ................................................................................................................. 16
2.1.2 Light characteristics ............................................................................................................ 17
2.1.3 Electrical Characteristics of a PV-Cell: .................................................................................. 18
2.1.4 Voltage and Current in PV Plant .......................................................................................... 21
2.2.0 Electrical Power Output: ..................................................................................................... 22
2.3.0 Components Selection PV panel .......................................................................................... 23
2.3.1 PV Panel Selection Methodology ......................................................................................... 24
2.3.2 Chosen Panel ...................................................................................................................... 24
2.4.0 Inverter and Control............................................................................................................ 26
2.4.1 Maximum Power Point Tracking (MPPT): ............................................................................ 26
2.4.2 Connection of Inverter to Array........................................................................................... 26
2.4.3 Inverter, process and Functions .......................................................................................... 28
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2.4.4 Component Selection, Inverter ........................................................................................... 29
2.4.5 Summary ............................................................................................................................ 30
2.5.0 Shading: .............................................................................................................................. 33
Chapter Three ............................................................................................................................. 34
3.1.0 Project Demand and Hand Calculations ............................................................................... 35
3.1.1 Process of progression: ....................................................................................................... 35
3.1.2 Overview, System Demand and Electrical System Review:................................................... 36
3.2.1 Hand Calculation: ................................................................................................................ 38
3.2.2 Summary and Assumptions: ................................................................................................ 38
3.2.3 Calculating the hourly solar radiation on the system: .......................................................... 39
3.2.4 Calculation: ......................................................................................................................... 41
3.2.5 Hand Calculation Results and Analysis: ................................................................................ 46
3.2.6 Area optimising and assessment ......................................................................................... 52
3.2.7 shading consideration ......................................................................................................... 53
3.3.0 calculating the hourly electrical power produced through all the year ................................. 55
3.3.1 System sizing ...................................................................................................................... 55
Chapter Four ............................................................................................................................... 60
4.1.0 Project Simulation ............................................................................................................... 61
4.1.1 Preliminary Design .............................................................................................................. 61
4.2.0 Full Project Design .............................................................................................................. 64
4.2.1 Shade Simulation ................................................................................................................ 65
4.2.2 Electrical Layout .................................................................................................................. 70
4.2.3 Panel Layout Design ............................................................................................................ 71
4.2.4 Simulation Results and Review ............................................................................................ 73
Chapter Five ................................................................................................................................ 78
5.1.0 Electrical Configurations ..................................................................................................... 795.1.1 Measurement of the Energy Produced and Sold to the Grid ................................................ 80
5.2.0 Protection and Earthing of the System: ............................................................................... 81
5.3.0 Protection Against Over Current on AC Side: ....................................................................... 82
5.4.0 Comparison between Hand Calculation and Simulation....................................................... 82
Chapter Six .................................................................................................................................. 83
6.1.0 Economical Evaluation ........................................................................................................ 84
6.1.1 Assumptions ....................................................................................................................... 84
6.2.0 Sizing the System Based on Data from the Economic Model ................................................ 85
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6.2.1 Maximum Power Output ..................................................................................................... 85
6.2.2 System Limited by the Minimum Demand of December ...................................................... 87
6.2.3 Using the Data from Simulation for 20% of December System Size ...................................... 87
6.3.0 Analysis ............................................................................................................................... 93
Chapter Seven ............................................................................................................................. 94
7.1.0 Critical Review .................................................................................................................... 95
7.2.0 Further Work ...................................................................................................................... 95
Chapter Eight ............................................................................................................................... 96
7.1.0 Conclusion .......................................................................................................................... 97
References .................................................................................................................................. 98
Bibliographies ............................................................................................................................ 100
Appendix A ................................................................................................................................ 101
Appendix B ................................................................................................................................ 102
Appendix C ................................................................................................................................ 104
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List of Figures
Figure 1: GHG and CO2emissions by sector. (EC, 2010) ...................................................................... 3
Figure 2: Electricity consumptions by Sector. (DECC, 2009) ................................................................ 4
Figure 3: Electrical PV generation (European commission, 2010) ....................................................... 5
Figure 4: Grid-connected photovoltaic system. (Luque and Hegedus, 2011). ...................................... 6
Figure 5: Earth Positions around the sun (Scharmer, 2000) ................................................................ 8
Figure 6: Solar Geometry Angles (Duffie and Beckman, 2006). ......................................................... 11
Figure 7: Schematic of a solar cell. The solid white lines indicate the conduction and valence bands of
the semiconductor layers; the dotted white lines indicate the Fermi level in the dark. .................... 16
Figure 8: Light wavelength ranges ................................................................................................... 18
Figure 9 Equivalent circuit of Photovoltaic ....................................................................................... 19
Figure 10 Voltage-Current characteristics example (ABB, 2010) ....................................................... 20
Figure 11 Selected Panel Dimensions ............................................................................................... 25
Figure 12 photovoltaic panel curves with different irradiances. ....................................................... 25
Figure 13 typical circuit used in PV inverters. ................................................................................... 28Figure 14 inverter combination ....................................................................................................... 32
Figure 15 PWM DC to AC process .................................................................................................... 32
Figure 16 By-Pass diode under shading ............................................................................................ 33
Figure 17 system demand in kW ...................................................................................................... 37
Figure 18 Day Length for each month .............................................................................................. 47
Figure 19 Clearness Index and the diffused radiation ratio ............................................................... 47
Figure 20 total irradiance on a tilted surface per hour for each month............................................. 49
Figure 21 total estimated electrical output per hour each month. ................................................... 51
Figure 22 The monthly production of the system ............................................................................. 51
Figure 23 Roof Top of the Location. ................................................................................................. 52
Figure 24 calculating the area of shade effect .................................................................................. 54
Figure 25 Monthly Percentage of the total demand when maximum power produced. ................... 56
Figure 26 Percentage of the Supply to the Demand ......................................................................... 58
Figure 27 Monthly Demand Vs. Production. ..................................................................................... 58
Figure 28 Program's first interface page .......................................................................................... 61
Figure 29 Site data entry. ................................................................................................................. 62
Figure 30 mutual shading Visualisation/optimisation ....................................................................... 63
Figure 31 Sun Path and Mutual shading. .......................................................................................... 63
Figure 32 Preliminary Power Output, Horizontal and tilt surface comparison. .................................. 64Figure 33 Near Shading design tool interface ................................................................................... 64
Figure 34 building a new object to simulate the shading .................................................................. 65
Figure 35 the final built structure. ................................................................................................... 66
Figure 36 PV panels build user interface. ......................................................................................... 66
Figure 37 Final system before the shade simulation ......................................................................... 67
Figure 38 Top View, photovoltaic generator position ....................................................................... 68
Figure 39 Shading process ............................................................................................................... 68
Figure 40 shading when the system is placed at the eastern side of the building. ............................ 69
Figure 41 shading when the system is placed at the western side of the building............................. 70
Figure 42 System Design interface ................................................................................................... 72
Figure 43 Array power optimisation graph. ...................................................................................... 72
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Figure 44 Module Layout design and layout tool interface. .............................................................. 73
Figure 45 Simulation Production vs. Demand ................................................................................... 74
Figure 46 loss Diagram of the whole system along the year. ............................................................ 75
Figure 47 Daily input/output diagram .............................................................................................. 76
Figure 48 Array voltage distribution ................................................................................................. 76
Figure 49 Daily Power output along the year. .................................................................................. 77
Figure 50 Performance Ratio for each month. ................................................................................. 77
Figure 51 Electrical System Layout. .................................................................................................. 80
Figure 52 kWh meter integration with the system ........................................................................... 81
Figure 53 Cash Flow when installing 250 kWp as maximum assumption .......................................... 87
Figure 54 Cash flow of system sized based on 20% of December demand. ....................................... 89
Figure 55 Cash flow of System sized based on 20% of December demand. Simulation results .......... 89
Figure 56 Saving on Electricity bill in first model .............................................................................. 92
Figure 57 Saving on Electricity bill in the second model ................................................................... 92
Figure 58 Demand and Production for the first model ..................................................................... 93Figure 59 Demand and Production for the second model ................................................................ 93
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List of Tables
Table 1 System Demand kW ............................................................................................................ 37
Table 2. Monthly Ground Reflectance, (Albedo) .............................................................................. 39
Table 3 Monthly average meteorological data (EUROPEAN COMMISSION) ...................................... 40
Table 4 Site Data and Calculated information for one hour of the year ............................................ 40
Table 5 Irradiance Htaccording to day hours for each month along the year.................................... 48
Table 6 Average kWh production per hour for each month. ............................................................. 50
Table 7 Maximum power system production and comparison with the system demand .................. 55
Table 8 Minimum Production considering 20% of the Demand in December. .................................. 57
Table 9 Shading factor for the beam radiation at different sun positions. ........................................ 70
Table 10 Simulation Data Output. .................................................................................................... 74
Table 11 Maximum power output applied on the built economical model (in ) .............................. 86
Table 12 20% of December production assumption applied on the built economical model (in ).... 88Table 13 20% of December production assumption applied on the built economical model/
simulation result (in ) ..................................................................................................................... 90
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List of Equations
Equation 1 Extraterrestrial Radiation ................................................................................................. 8
Equation 2 Declination Angle ............................................................................................................. 9
Equation 3 Solar Time ........................................................................................................................ 9
Equation 4 E value. ............................................................................................................................ 9
Equation 5 Sunset Hour Angle ......................................................................................................... 10
Equation 6 Incident Angle ................................................................................................................ 10
Equation 7 Zenith Angle .................................................................................................................. 11
Equation 8 Clearness Index .............................................................................................................. 12
Equation 9 global Hourly irradiance on horizontal surface ............................................................... 12
Equation 10 Diffused Radiation Ratio ws81.4............................................................................... 13
Equation 11 Diffused Radiation Ratio ws > 81.4............................................................................... 13
Equation 12 Average Daily irradiance .............................................................................................. 13
Equation 13 rt ratio ......................................................................................................................... 13
Equation 14 constant a .................................................................................................................... 13Equation 15 constant b .................................................................................................................... 13
Equation 16 Diffused irradiance ....................................................................................................... 13
Equation 17 Beam irradiance ........................................................................................................... 14
Equation 18 rd ratio......................................................................................................................... 14
Equation 19 Total irradiance on tilted surface.................................................................................. 14
Equation 20 RbValue ....................................................................................................................... 14
Equation 21 Photon Energy ............................................................................................................. 17
Equation 22 Atmospheric Mass ....................................................................................................... 18
Equation 23 Diode current............................................................................................................... 19
Equation 24 current delivered by the photovoltaic panel ................................................................. 19
Equation 25 Filling Factor ................................................................................................................ 21
Equation 26 Cell temperature effect on the cell Efficiency ............................................................... 22
Equation 27 Ambient temperature relation with the cell temperature ............................................ 22
Equation 28 tilt angle correction factor for the cell temperature ..................................................... 22
Equation 29 Energy supplied to the building and the electrical grid ................................................. 23
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Chapter One
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1.1 Introduction
Since the first public power distribution system was developed, in 1882, by the
famous Thomas Edison, our modern life style started to shape. Electricity made a
shift for human history, bringing all lifes modern luxuries into being (Chapman,
2005). Before electricity became available over 100 years ago, houses were lit with
kerosene lamps, food was cooled in iceboxes, and wood-burning or coal-burning
stoves warmed rooms. In other words, Electricity has changed that and become a
key driver in our modern life development.
Electrical power generation started in the form of cool power plants using
Steam turbines to drive Direct Current generators. That was followed by huge
developments in electrical power generation methods. Combined cycle power plant,
Nuclear Power Plant and Hydroelectric Power Plant are the latest forms of power
generation methods. Although those types of power plants are considered to have
high reliability and low loss of load probability (LOLP) fraction, they still suffer from
many major issues threatening the globe indirectly, by increasing Green House
Gases (GHG), and increasing the availability of some types of fuel, which might not
be available for all nations, either now or in the future.
Waldau A. J. et al, (2011) mentioned that "besides the increasing pressure on
the supply side of energy by the increasing world energy demand, environmental
concerns shared by a majority of the public and add to the list of weaknesses of
fossil fuels and the problems of nuclear energy. These concerns include the societal
damage caused by the existing energy supply system, whether such damage is of
accidental origin (oil slicks, nuclear accidents, methane leaks) or connected to
emissions of pollutants". Baker, (2004) added that generating electricity has made
major damages to the environment which might, in the end, cause global
catastrophes. Green House Gases (GHG) and CO2 emissions in particular cause
environmental damages. The Global warming or the expansion of the ozone hole,
which could lead to the melting of more ice in Antarctica and increase the water level
in the seas, represent clear examples of the danger of GHG. Such Issues have led
scientists to search for other alternatives, which might balance the scales.
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Renewable Power Generation is being strongly considered. The technology
offers a free fuel energy that is free of GHG emissions. Solar Power Generation has
a long history and a promising future. Generally, Photovoltaic Power Systems helped
to supply electricity to many rural places but since 1991, this case has changed. In
Aachen, Germany (1991), the first installation of building-integrated photovoltaic's
(BIPV) was realized.
In addition, the energy market in the UK is growing, according to many market
analysts. In December 1997, the European Council and the European Parliament
adopted the White Paper for a Community Strategy and action Plan. In this paper,
the aims are described as follows, Renewable energy sources may help to reduce
dependence on imports and increase security of supply. Positive effects also
anticipated in terms of CO2emissions and job creation. Renewable energy sources
accounted in 1996 for 6% of the unions overall gross internal energy consumption.
The unions aim is to double this figure by 2010(European Commission, 2010). The
UK government is stating policies to support renewable projects. Subsequently,
seeking sustainable and cleaner energy to provide a secure energy level of
consumption is an international concern.
Residential Buildings contribute in a large way to the total GHG and CO2
emissions. In the UK, residential CO2 and GHG emissions are 14% and 12%
respectively. The commercial institutions contribute in 3.8% and 3.2% (European
Commission, 2010). Figure (1) illustrates GHG and CO2emissions by each sector.
As well, Domestic and household consumption of electricity represents 32% of the
total electricity generation, while the commercial sector consumes 19% of the total
electricity produced. (DECC, 2010). Refer to Figure (2).
Figure 1: GHG and CO2emissions by sector. (EC, 2010)
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Figure 3: Electrical PV generation (European commission, 2010)
1.2 Building Integrated PV System
Examining Photovoltaic modules for building integration, produced as a
standard building product that fit into standard faade and roof structures (IEA,
1996). Since the first integration for Photovoltaic into buildings, it has become one of
the fastest growth market segments in photovoltaic (Benemann J. et al, 2001).
There are several reasons for the great interest in PV systems in buildings. Its
image as a high-tech and its futuristic technology makes it more interesting for
engineers, architect and consumers. As well, integration of PV is technically simple
to install compared with other solar technologies such as solar thermal (Fieber A.,
2005). Furthermore, the price of PV panel integration in building is economically
attractive where its profit expectation is promising.
A roof or faade element with photovoltaic can be used in all kind of building's
structures, curtain wall faade (with isolating glass), rear vented curtain wall faade ,
structural glazing and tilted faade . It is expected from the photovoltaic system to
cover day lighting, reduce the noise and produce electricity (Benemann J. Et al,
2001). While Thomas R. and Fordham M. argued (2001) that the reasons of why
Photovoltaic is attractive technology is that using it includes supplying all, or most
likely the largest portion, of the annual electricity requirement of a building, making a
contribution to the environment, making a statement about innovative architectural
1 13 4 3 4
810 11
1999 2000 2001 2002 2003 2004 2005 2006 2007
Gross Electricity Generation of
Photovoltaic GWh
Gross Electricity Generation of Photovoltaic GWh
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and engineering design and using them as a demonstration or educational project
(Thomas R. and Fordham M., 2001).
To integrate a PV system in any building, many considerations must be taken
into account by the designer and engineers. One of the crucial points is the
orientation of the building and tilt angle of the PV panel, solar irradiations and the
electrical system used including the proposed inverter and control methods.
In general, any BIPV system consists of Photovoltaic panel(s), inverter(s) and
accessories, which are usually referred to as Balance of System (BOS) and
switchgears. PV panels are the main component used to convert the energy carried
by the photons, particles that exist in sunlight, into electrical power. The inverter will
convert the produced DC electrical power by the PV panels to an AC usable
electrical power. The BOS includes kWh meter(s), cables, fuses, combiners, fittings,
grounding connections, switchgear and strings, DC and AC switches and
connectors.
The PV system integrated into a building would not need a storage system,
batteries; since the storage system is normally used to supply the load during the
night hours or when there is not enough radiation to produce electricity into the PVpanels. In this case, the national grid will act as a storage system (Luque and
Hegedus, 2011). Figure (4) illustrates a basic grid connected (On-Grid) schematic of
PV system. More details about each component of the system are presented later;
specifically on PV cell, module and array and on the conditioning system (inverter).
Figure 4: Grid-connected photovoltaic system. (Luque and Hegedus, 2011).
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To explain how the solar system does work, it is important to describe the
nature of the sun light and the radiations that fall on earth's surface. As well, a short
introduction about the sun and earth position should be presented to be able to
elucidate sunlight, radiation analysis and solar system.
1.3 Solar Radiation and Solar Constant
It is obvious that the Photovoltaic system is related to the sun and the earth's
movement around it, thus, studying this movement and the way the radiation will fall
into the earth's surface has great importance, in order to achieve the highest
possible performance. In addition, it is important to understand the geometric
relationships between a planet relative to the earth at anytime and the incoming
radiation. This will make it possible to find the power output for any system intended
to be installed.
The sun is a sphere containing hot gaseous matter and has a diameter of
1.39 x 109 m. On average, the earth is 1.5 x 1011meter away from the sun. This
distance equals about 12000 times the earth's diameter. The earth revolves around
the sun in an elliptical unusual orbit that varies the distance between the sun and theearth by 1.7%. The day of the closest approach in the northern hemisphere is known
as Perihelion and occurs on the 2nd of January, whilst on 2nd of July, the earth is at
its greatest distance from the sun, this distance is known as Aphelion, see Figure (5)
(Scharmer, 2000). The sun has an effective blackbody temperature of 5777 K. The
radiation emitted by the sun and its spatial relationship to the earth result in a nearly
fixed intensity of solar radiation outside the earth's atmosphere, often referred to as
extraterrestrial radiation. The extraterrestrial radiation's values, referred to as solar
constant, found in the literature vary slightly due to the measurement techniques or
assumptions for necessary estimations. The World Radiation Centre (WRC) has
adopted a value of 1367 W/m2, with 1% uncertainty (IEA, 1996).
The Solar Radiation outside the earth's atmosphere changes throughout the
year due to the change in the distance from the sun and the rotation of earth around
its axis. The solar radiation outside the atmosphere is then calculated depending on
the eccentricity correction factor () and the day of the year (Luque and Hegedus,
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2011). According to (Duffie and Beckman, 2006), depends on the distance of theearth from the sun, which will vary by 1.7% of its mean value , which is equal to1.49510
11m. A simple equation for engineering proposes combines the change in
the day and distance and defines the solar radiation outside the earth's atmosphere
as following:
Equation 1 Extraterrestrial Radiation
Where
Gsc: solar constant, 1367 W/m2.
n: is the day number of the year.
Figure 5: Earth Positions around the sun (Scharmer, 2000)
1.4 Geometrical Considerations:
To put a formula to find the radiation received on the system's surface, tilted
surface, by only knowing the total radiation on the horizontal surface. It is important
to know the direction from which the beam or the diffused radiations are received.
The geometrical properties should be studied. The next definitions and equations are
used in the calculation later in this paper.
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1.4.1 The Declination Angle:It is the key input for the solar geometry. It is defined by (UNESCO and NELP,
1978) as "the angle between the Equatorial Plane and the line joining the centre of
the Earth's sphere to the centre of the solar disk. The axis of rotation of the Earth
about the poles is set at an angle to that so called Plane of the Ecliptic. "The angle
varies along the Julian days between 23.45 and -23.45. The following equation
relates to the declination angle and the day number n, along the year.
Equation 2 Declination Angle
1.4.2 Solar Hour Angle:According to (PEN, 2012), is the angular displacement of the sun east and
west of the local meridian. It changes 1 each for minutes and 15 each hour. It
changes 15 each hour after the solar noon and -15 each hour before the solar noon.
The solar noon corresponds to the moment when the sun at the highest point in the
sky. So the solar noon does not depend on the local time but on the solar time. The
solar time can be found as following:
Equation 3 Solar Time
Where Lstis the standard meridian for the local time zone, L locis the longitudeof the specific location in degree. E is the equation of time in minutes which equals
to:
Equation 4 E value.
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1.4.3 The Latitude angle:It is the angular location north of the equator as positive and south of the
equator as negative. Its values range between -90 and +90.
1.4.4 The Sunset Hour angle:
According to (RETScreen International, 2005) is the angle of the sun at the
sunset solar hour. It can be found using the following equation:
Equation 5 Sunset Hour Angle
1.4.5 Slope Angle:This is the tilt angle where the Photovoltaic panel or array is tilted from the
horizontal. Generally, as a rule of thumb, to collect maximum annual energy, a
surface slope angle should be adjusted to be equal to the latitude angle. For the
summer maximum energy gain, slope angle should be approximately 10to 15less
than the latitude and for the winter, maximum energy gain can be acquired when the
angle is adjusted to be 10 to 15 more than the latitude. (Duffie and Beckman,
2006).
1.4.6 Surface Azimuth angle:This is the deviation of the projection, on a horizontal plane, of the normal to
the surface from local meridian. It is equal to zero when it is pointed to the south,
negative to the east and positive to the west. It ranges between .
1.4.7 Angle of IncidentThis is the angle between the beam radiation on a surface and the normal to
that surface. It can be calculated as follows:
Equation 6 Incident Angle
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1.4.8 Zenith Angle:
It is the angle between the vertical of the sun and the incident solar beam. Its value
must be between 0 and 90. For a horizontal surface the zenith angle can be
calculated using the following equation.
Equation 7 Zenith Angle
The following figure (6) illustrates the angles on a tilted surface. Please note
that the previous equations will be implemented in a hand calculation for the total
power output of the proposed system, later in this paper. The calculation will be done
using Microsoft Excel.
Figure 6: Solar Geometry Angles (Duffie and Beckman, 2006).
1.5 Solar Radiations reaches a specific tilted surface
The directions from which solar radiation reaches a specific tilted surface are
a dependent on conditions of cloudiness and atmospheric clarity (Duffie and
Beckman, 2006). Those radiations are considered to be distributed over the sky
dome. In general, the data of cloudiness and clarity are widely available.
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Equation 10 Diffused Radiation Ratio ws 81.4
For :
Equation 11 Diffused Radiation Ratio ws > 81.4
The average daily irradiance is now broken into hourly values. To do so, the
equation developed by Collares-Pereira is used in the calculations. The formulas are
as following:
Equation 12 Average Daily irradiance
Where is:
Equation 13 rt ratio
Where (a)and (b) arevalues can be found as follows:
Equation 14 constant a
Equation 15 constant b
Note that the values of sunset angle and the hour angles are in radians. Then
the values of both the diffused and the Beam irradiances can be calculated as
follows:
Equation 16 Diffused irradiance
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Equation 17 Beam irradiance
can be found using this equation:
Equation 18 rd ratio
The calculation of the total hourly irradiance is a combination of the three
irradiances values; the beam irradiance, diffused irradiance and the ground
reflectance. This equation was developed upon an Isotropic Model, which had been
derived by Jordan and Liu in 1963 (Duffie and Beckman, 2006). The equation equals
to:
Equation 19 Total irradiance on tilted surface
Where:
Equation 20 RbValue
Moreover, is the average diffused ground reflectance, Albedo.
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Chapter Two
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2.1 System Components
2.1.1 Solar Cell Basics:
The Solar cell is a solid-state device that absorbs light and converts part of its
energy- directly into electricity. The process is done within the solid work structure;
the solar cell does not have any moving parts (Richard J. K., 1995).
The photovoltaic cell is manufactured by combining two layers of
semiconductors differently doped, a p-type and an n-type layer. The combination will
result of a matching between holes and electrons which will lead to creating a
potential layer. This is why the solar cells are usually referred to as "Photovoltaic
cells", the photovoltaic effect. Photovoltaic effect is the electrical potential, developed
between the two dissimilar materials. When the two dissimilar material's common
junction, or what is called the depletion layer, is illuminated with radiation of photons,
thus an electrical potential gradient will be created (Mukund R. P., 1999).
Each photon, if it has enough energy, is capable of releasing an electron,
which has a negative charge, or creating a hole, which has positive charge. The
accumulated process will result in a current and potential difference on cell's sides,
the p-type and the n-type. The released electrons will be accelerated because of theresultant gradient, which is called Fermi level, and can then be circulated as a
current through an external circuit, see figure (7) (Mukund R. P., 1999).
Figure 7: Schematic of a solar cell. The solid white lines indicate the conduction and valence bands of the semiconductor
layers; the dotted white lines indicate the Fermi level in the dark.
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2.1.2 Light characteristics
All electromagnetic radiations can be viewed as being composed of particles
called Photons. According to the theory of quantum, the photons are particles that
travel in vacuum with the speed of light and have no mass. Each photon carriesspecific amounts of energy as a packet, referred to as an electron volt (ev). The
amount of energy is related to the proton's source spectral properties. The shorter
the wavelength of the proton, the larger the packet (Richard J. K., 1995).
The sunlight spectral is divided into three regions see figure (8). The first
region has a wavelength between 400 to 700 nanometres. At 700 nanometres, the
visible spectrum appears red and on the shorter end of 400 nanometres it appears
violate. All other colours appear in between. Our eyes are most sensitive to the
spectrum around 500 nanometres. At 400 nanometres and less, the spectrum is
called Ultraviolet (UV) wavelength and most of it is filtered or absorbed by the Ozone
or the transparent material before it reaches the earth's surface. Our skin perceives
the spectrum as radiant heat spectrums above 700 nanometres, which is referred to
as Infrared (Clark and Eckert, 1975). The water vapour, CO2and other substances in
our atmosphere absorb most of the Infrared spectrums. On the other hand, Most of
those absorptions become longer wavelengths than the wavelengths the solarsystem uses. While the solar system effectively collects wavelengths less than 2000
nanometres, thus its efficiency is not significantly affected (Duffie and Beckman,
2006). Photon's energy can be calculated as follows:
Equation 21 Photon Energy
Where is the wavelength, is Plank's constant ( ) and is thespeed of light (m/s).
As well as this, the energy held by a photon is affected by Air Mass. The Air
Mass is the path length which light takes through the atmosphere normalized to the
shortest possible path length (the shortest path is when the sun is directly overhead).
The Air Mass quantifies the reduction in the energy of light as it passes through the
atmosphere and is absorbed by air, dust, ozone (O3), carbon dioxide (CO2), andwater vapour (H2O) with the last three having a high absorption for photons that have
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energies close to their bond energies. The air mass (AM) is defined using the
following equation (noting that is defined later in this paper):
Equation 22 Atmospheric Mass
Figure 8: Light wavelength ranges
2.1.3 Electrical Characteristics of a PV-Cell:
A PV cell equivalent circuit is similar to that of the diode, since they have
similar structures. A photovoltaic cell is considered as a current generator and can
be represented by the equivalent circuit of Figure (9). The current I at the outgoing
terminals is equal to the current generated through the PV effect IPV by the ideal
current generator, decreased by the diode current Id and by the ground leakagecurrent Ish. The resistance in series Rsrepresents the internal resistance to the flow
of generated current and depends on the thickness of the junction P-N, the present
impurities and on contacts resistances.
The shunt resistance Rshtakes into account the current to earth under normal
operational conditions. In an ideal cell the values of Rsis zero while the value of Rsh
is maximum. On the contrary, in a high-quality silicon cell the typical value of R s is
around five milliohm and the shunt resistance is around 285 ohm. The conversion
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efficiency of the PV cell is greatly affected also by a small variation of Rs, whereas it
is not affected by the variation of Rshtoo much.
Figure 9 Equivalent circuit of Photovoltaic
The no-load voltage Voc, open circuit voltage, occurs when the load does not
absorb any current, i.e. ILequals zero, thus according to ohms law, the open circuit
voltage will be the current passing through the shunt resistance, times the shunt
resistance Voc=IshRsh(Luque and Hegedus, 2011)
In addition, the diode current is given by the classical formula for the direct
current:
Equation 23 Diode current
Where: ID is the diode's saturation current, Q is the charge of the electron
(1.610-19 C), A is the identity factor of the diode and it depends on the
recombination factor between the holes and electron inside the diode itself (for
crystalline silicon it is about 2). K is the Boltzmann constant (1.3810-23
J/K). Finally,T is the absolute temperature in Kelvin degree. Therefore, the current supplied to the
load is given by:
Equation 24 current delivered by the photovoltaic panel
The final term, the ground-leakage current, in practical cells is small
compared to Iphand ID, thus it can be ignored. The diode-saturation current can be
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determined experimentally by applying the open circuit voltage Voc in the dark (when
Iph is zero) and measuring the current going into the cell. This current is usually
referred to as the dark current or the reverse diode-saturation current. (Mukund R.
P., 1999).
The voltage-current characteristic curve of a PV module is shown in Figure10.
The generated current is at its highest under short-circuit conditions (Isc), whereas
with the circuit open, the voltage (Voc=open circuit voltage) is at the highest. Under
the two of those conditions, the electric power produced in the module is equal to
zero, whereas under all the other conditions, when the voltage increases, the
produced power rises too; at first, it reaches the maximum power point (Pm) and
then it falls suddenly near to the no-load voltage value. (Sera, D et al, 2007)
Figure 10 Voltage-Current characteristics example (ABB, 2010)
In summary, the electrical characteristics needed to be known about for a
photovoltaic module is as follows:
Iscshort-circuit current;
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Vocno-load voltage;
Pmmaximum produced power under standard conditions (STC);
Imcurrent produced at the maximum power point;
Vmvoltage at the maximum power point; FF filling factor: this is a parameter which determines the form of the
characteristic curve V-I. It can be defined as the actual maximum power
divided by the ideal power value; the ideal power is that value that would be
obtained under ideal conditions. i.e. when the voltage is equal to the open
voltage and the current is equal to the short circuit current. The filling factor is:
Equation 25 Filling Factor
It should be pointed that all those data can be found in the manufacturer data
sheet. Most of the information is experimentally distinguished. There are some
methods to calculate the series resistance value but it will not be needed in this
paper, thus it will not be presented.
2.1.4 Voltage and Current in PV Plant
PV modules generate a current from 4 to 10 A at a voltage from 30 to 40 V.
To achieve the projected peak power, the panels are electrically connected in series
to form the strings, which are connected in parallel. The trend is developing strings
constituted by as many panels as possible, given the complexity and cost of wiring,
in particular of the paralleling switchboards between the strings. The maximum
number of panels which can be connected in series (and therefore the highest
reachable voltage) to form a string is determined by the operational range of the
inverter and by the availability of the disconnection and protection devices suitable
for the voltage reached. In particular, the voltage of the inverter is bound, due to
reasons of efficiency, to its power. Generally, when using inverters with power lower
than 10 kW, the voltage range most commonly used is from 250V to 750V, whereas
if the power of the inverter exceeds 10 kW, the voltage range usually is from 500V to
900V. (ABB, 2010)
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2.2.0 Electrical Power Output:
The electrical power output of the system will depend on three values, the
total hourly irradiance, and the efficiencies of the electrical components used and the
total area of the panels. The values of total hourly irradiance will be found asdescribed previously in this thesis.
The efficiency of the Photovoltaic's arrays will be characterised by the
average module temperature Tc. Thus, the efficiency will depend on the ambient
temperature (RETScreen International, 2005). The efficiency equation using the
calculation for this study purpose is as follows:
Equation 26 Cell temperature effect on the cell Efficiency
Where is the temperature coefficient for the module efficiency and andare the efficiency and the temperature of the panel under the Standard TestingConditions (STC). Normally the testing temperature is equal to 25C. In addition, the
standard testing conditions will define the Nominal Operating Cell Temperature
NOCT. NOCT values normally ranges from 42C to 46C (Luque and Hegedus,
2011). The average module temperature Tcis related to the mean monthly ambient
temperature through the following equation, which had been developed by Evans in
1981 (Duffie and Beckman, 2006):
Equation 27 Ambient temperature relation with the cell temperature
Furthermore, the equation above is valid when the tilting angle is equal to the
latitude angle minus the declination angle, when the tilt angle is different, then the
right side of the equation has be multiplied by a correction factor defined as C f.
(RETScreen International, 2005). It can be found using the following equation:
Equation 28 tilt angle correction factor for the cell temperature
Where sM is equal to the latitude angle minus the declination angle and s is
the current tilt angle.
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On the other hand, STC efficiency will vary for each type of module. In
general, the efficiency values range between 5%, for example for a module of a-Si
type, up to about 15%, for example a mono-crystalline silicon module.
Finally, the power output of the PV generator can be defined as the total reached
irradiances multiplied by the final efficiency and the total area used S. Theequation can be shown below:
Equation 29 Energy supplied to the building and the electrical grid
To calculate the electrical power delivered by the PV generator, which is
received by the building or the grid, the EP must be multiplied by the inverter
efficiency and the electrical losses due to the wiring. As well, other miscellaneous
losses of the BOS should be deducted from the total power production (RETScreen
International, 2005).
In later sections, a method to calculate the power output will be presented and
illustrated systematically giving one example of the whole system. The codes and
work sheet of the hand model can be found in the appendix A.
2.3.0 Components Selection PV panel
In order to optimise the system for the best conditions, it is highly required to
choose the most suitable component in the system. Reliable, high efficient and low
cost components are the optimal components to choose. In the following, the
detailed process for the main component selection is presented.
There are many kinds of photovoltaic panels which vary in material used,
technology, manufacturing process and size. Looking into the features of each panel
then comparing it with its price and its installation cost can be a very difficult process,
especially if the life time of the PV panel, warranty, market availability and efficiency
are taken into account as well. Therefore, the selection process can be narrowed by
specifying the priority features needed in the panel.
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2.3.1 PV Panel Selection Methodology
The selection of the PV panel for this project was based on three aspect as
priority features; the efficiency of the photovoltaic panel, the panel price and the
market availability. In addition to those characteristics, an additional facet tookpriority when the economical evaluation had been completed. The project life-time
needed to be increased because the payback and the breakeven level of output, was
found to be longer than 20 years. Hence, the PV panel life-time and the entire project
studies have been extended to 25 years.
2.3.2 Chosen Panel
The panel which has the highest efficiency is mostly mono-crystalline, thus
the panel's types have been narrowed by only mono-crystalline panels. One of the
most established, experienced brands in the market of manufacturing panels is
SHARP, when the panel specifications have been studied, and only the panels with
life-time of 25 years are used. They had a higher level of efficiency was compared to
the other panels in the market.
The panel is mono-crystalline which has 14.14% efficiency and lower
sensitivity to the variation of the temperature, the voltage variation is only a
decreasing of 104 mV/C. The peak power of the panel is 185 WP. The voltage at
maximum power point is 24 while the current is 7.71 Amp. The filling factor is
71.75%. The Nominal Operation Cell Temperature (NOCT) is 47.5 C. The Panel
dimensions as show in figure 11 is 1.3180.994 m. the panel has a bypass diodes
which, as mentioned before, will minimise the loss in output when shading occurs.
The panel behaviour with different irradiances is shown in figure 12.
Additional data about the panel which might be useful for the installer:
156.5 mm 156.5 mm mono-crystalline solar cells
48 cells in series
2,400 N/m2 mechanical load-bearing capacity (245 kg/m2)
1,000 V DC maximum system voltage
IEC/EN 61215, IEC/EN 61730, Class II (VDE: 40021391)
Finally, a vital point need for economical evaluation purposes; a full
performance of the panel is guaranteed for five years, a 90% of the full performance
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for ten years and an 80% for twenty five years. Therefore, it will be possible to
extend the project life time to twenty five years. (A detailed data sheet is attached in
appendix C for the reader to refer to if needed).
Figure 11 Selected Panel Dimensions
Figure 12 photovoltaic panel curves with different irradiances.
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2.4.0 Inverter and Control
2.4.1 Maximum Power Point Tracking (MPPT):
A maximum Power Tracker is a device that keeps the impedance of the circuit
of the cells at levels corresponding to best operation. It also converts the resulting
power from the PV array, so its voltage is that required by the load. There is some
power losses associated with the power tracking process
Any PV array, however its size or sophistication, is only capable of producing
Direct Current (DC) power, thus for the system to be integrated into the building it is
necessary to have a methodology to convert the produced DC power into the
building integrated AC power system. The DC to AC Inverter, sometimes referred to
as converter, is used to achieve this function. The System might require more than
one inverter depending on the system size and sophistication.
2.4.2 Connection of Inverter to Array
For many systems, a three-phase inverter is used. In addition, in some cases,
single phase inverter is only needed with a final decision taken by knowing whether
the grid supply is single or three phases; this is because the system should be
coupled with the electrical grid. The system can be connected to the inverters with
three deferent methods depending on the rating of both the PV Generator and the
inverter.
The first method is a single inverter plant, which might consist of single or
several strings; a string is a connection of many modules to form one DC output,
positive wire and negative wire. The single inverter plant implies that the rating of
both the PV generator and the inverter required is relatively small. This method has
many advantages in terms of lower investment cost and low maintenance; but on the
other hand, using one inverter will reduce the reliability of the system since a total
stoppage of power production will occur in case of inverter failure. In addition, this
solution is not suitable for increasing the size of the system, since these increases
the problems of protection against over currents and the problems deriving from
different shading that is when the exposition of the panels is not the same in the
whole plant (Esram and Chapman, 2007).
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The second method is to have many strings with an inverter for each string. In
this layout, the blocking diode will prevent the source direction from being reversed;
it is usually included in the inverter. The diagnosis on production is carried out
directly by the inverter, which in addition can provide protection against the over-
current and under-voltage on the DC side. Moreover, having an inverter on each
string will reduce the coupling problems between the modules and inverters and the
reduction of the performances caused by shading or different exposition. Again, in
different strings, modules with different characteristics may be used, thus increasing
the efficiency and reliability of the whole plant. (Esram and Chapman, 2007).
Finally, the last method is to have a combination of large-size plants, the PV
field is generally divided into more parts (subfields), each of them served by an
inverter of ones own to which different strings in parallel are connected. In
comparison with the layout previously described, in this case there are a smaller
number of inverters with a consequent reduction of the investment and maintenance
costs. However it maintains the advantage of reducing the problems of shading,
different expositions of the strings and of those due to the use of modules that are
different from one another, if subfield strings with equal modules and with equal
exposition are connected to the same inverter. Besides, the failure of an inverterdoes not involve the loss of production of the whole plant (as in the case of single-
inverter), but of the relevant subfield only. It is advisable that each string can be
disconnected separately, so that the necessary operation and maintenance
verifications can be carried out without putting the whole PV generator out of service.
When installing a parallel switchboard on the DC side, it is necessary to provide for
the insertion on each string of a device for the protection against over-currents and
reverse currents so that the supply of shaded or faulted strings from the other ones
in parallel is avoided. Protection against over-currents can be obtained by means of
either a thermo-magnetic circuit breaker or a fuse, whereas protection against
reverse current is obtained through blocking diodes. With this configuration, the
diagnosis of the plant is assigned to a supervision system, which checks the
production of the different strings (ABB, 2010).
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2.4.3 Inverter, process and Functions
Inverters take a great role in photovoltaic electrical production; the inverter makes it
possible to convert the DC power to an AC power used in the building's systems. It
will add a great flexibility with dealing with the produced power since the dealing withDC power can often be difficult and dangerous.
It is important to present a brief introduction about the inverter in order to be
able to understand the basic methodology of how the inverter works. The circuit used
in the inverter is usually a three phase bridge inverter. This circuit is used to convert
the DC power to three phase AC power, which will make it easy to connect, and to,
integrate, the whole new photovoltaic system into the existing system in the building.
Moreover, after integrating both systems together; it is possible to connect their
integration to the electrical grid through a bidirectional kWh meter to calculate the
spending and selling. The typical circuit used in the inverter can be seen in figure 13.
Figure 13 typical circuit used in PV inverters.
The process of inverting the DC power to an AC power inside the
inverter is done using mostly a Pulse Width Modulator PWM to great a sinusoidal AC
output. The process can be explained using figure 13. The battery in the figure
represent the PV panels production, they are connected to the inputs of three legs,
two transistors, and are protected from the reverse current by a diode connected in
parallel with each of them. The DC voltage should be converted to a three phase,
lines, AC output, therefore, each transistor, of the six transistors, will be triggered
sequentially by a controller. The controller has a reference PWM wave, Sinusoidal
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form. The controller will trigger one of the transistors in a process and will form three
phase AC power. Each of the phases is shifted by 120 electrical degree.
Furthermore, in this process the inverter is able to vary the voltage and
frequency at the output. For the case of building integration, the frequency required
to be fixed to either 50 Hz in the UK or 60 Hz in other places. On the other hand, the
inverter need to be able to cope with the variation in the voltage level, hence the PV
generator, relatively, does not have a fixed voltage. The voltage variation can be due
to the change in the temperature of the cell or due to the voltage drop caused by the
resistance of wiring.
The output wave ought to be filtered to lower the effect of any ripples or
harmonics, which might be caused during the conversion process.
2.4.4 Component Selection, Inverter
In conjunction with the photovoltaic panel, the selection of an optimal inverter
to use for the project can be a difficult process since there are many issues to be
considered. One of the main issues when selecting an inverter is to consider the
Maximum Power Point Tracking MPPT voltage range which might affect the final
performance of the system. Any inverter with MPPT will be able to optimallydecrease the effect of shadowing.
In order to select a suitable inverter to be used in the system, some aspects
should be considered. The capability of the inverter to cope with the variation in
voltage is an important matter. The system size is determined according to much
iteration to evaluate the system technically and economically. According to the
system size the inverter rated power will be distinguished. Therefore, the options to
choose an inverter will be limited to a certain level. It is better to choose an inverter
rating half the system size. In this way, two inverters will be installed instead of one.
The main purpose of this is to increase the reliability of the system. When one of the
inverters is out of service only half of the system is lost. Under certain
circumstances, one inverter could be selected, especially if the system rating is low.
The inverter type chosen for this project is going to be able to handle the
whole system solely, since the system size is relatively small compared other
projects. After considering many aspects the system's voltage and current have been
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stated. Hence, the voltage rating is also known. The system voltage is ranging
between 540 V and 576 V, 576 V to be the maximum power point voltage. Now, the
options to choose an inverter, are narrowed, due to the fact that only the inverters
have voltages around this range. 25% of the maximum and the minimum voltage
are considered as a good estimation because a margin of variation above or below
the maximum or the minimum level must be considered. Finally, the market
availability, quality guarantee and the cost should be taken into account.
2.4.5 Summary
In summary, the selection of the inverter, depending on size, is carried out
according to the PV array rated power that the inverter should manage. The size of
the inverter can be determined, from 0.8 to 0.9 for the ratio between the active power
delivered to the network and the PV generator. This ratio considers the power under
real operational conditions (working temperature, voltage drops on the electrical
connection...etc) in addition to the efficiency of the inverter itself.
Finally, the choice of correct size, for the inverter, must be done by taking the
following considerations:
- DC Side:
rated power and maximum power;
rated voltage and maximum admitted voltage;
variation field of the MPPT tracking voltage under standard operating
conditions;
- AC Side:
rated power and maximum power which can be continuatively delivered by
the conversion group, as well as the field of ambient temperature at which
such power can be supplied;
rated current supplied;
maximum delivered current allowing the calculation of the contribution of the
PV plant to the short circuit current;
maximum voltage and power factor distortion;
maximum conversion efficiency;
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Efficiency at partial load and at 100%.
- Other:
Market availability
Life time
Cost
The chosen inverter is a tri-phased Sinvert 60 M from Siemens with 50 Hz
frequency and has a nominal power of 65 kVA (apparent). The inverter has a
minimum MPP voltage of 450 V and a maximum MPP voltage of 750 V. The power
conditioning unit consists of Isolated Gate Bipolar Transistor (IGBT) inverter, DC/AC
distribution, isolating transformer and a controller number SIMATIC S7. It also has a
MPP tracking for optimum utilisation of PV field power. In addition, it has an optional
Voltage Ampere Reactive (VAR) controller for three-phase network. The unit comes
with a control panel with display of operating states and actual values for the user to
interface in order to set the parameters of the inverter.
Furthermore, it does have a switch-over in both manual and automatic mode
by integrated key-switch. Moreover, the following features are included in the unit,
isolation monitoring with selective fault allocation and safety disconnection;
visualization and service software Power Protect solar; interface for process
visualization and an optional integration in management systems via Ethernet,
cabinets for floor mounting, forced ventilation by fan, air intake through lower cabinet
front and cabinet bottom, air discharge through the cabinet roof; cable entry at base
from. Figure 14 shows the component's internal combination. Figure 15 shows the
process in PWM to convert the DC power to an AC power.
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Figure 14 inverter combination
Figure 15 PWM DC to AC process
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2.5.0 Shading:
Taking into consideration the area occupied by the modules of a PV plant,
part of them (one or more cells) may be shaded by trees, fallen leaves, chimneys,
clouds or by PV panels installed nearby. In the case of shading, a PV cell consistingin a junction P-N stops producing energy and becomes a passive load. This cell
behaves as a diode, which blocks the current produced by the other cells connected
in series, thus jeopardizing the whole production of the module (Seung-Ho and Eun-
Tack, 2002). Moreover the diode is subject to the voltage of the other cells which
may cause the perforation of the junction due to localized overheating (hot spot) and
damages to the module. In order to avoid that one or more shaded cells prevent the
production of a whole string, some diodes which by-pass the shaded or damaged
part of module are inserted at the module level. Thus, the functioning of the module
is guaranteed even if with reduced efficiency. In theory, it would be necessary to
insert a by-pass diode in parallel to each single cell, but this would be too onerous
for the ratio costs/benefits. Therefore, by-pass diodes are usually installed for each
module (Kajihara and Harakawa, 2005). See figure 16
Figure 16 By-Pass diode under shading
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Chapter Three
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3.1.0 Project Demand and Hand Calculations
This approach is to decide whether the system will be feasible or not. The
feasibility study will be done through a hand calculation and system simulation using
PVsyst. The Use of both methods; hand and simulation will make it easier to decidethe system size and specification. In addition, the hand calculation will present a
power output at an hourly pace which then can be compared with hourly demand if
available. The hand calculation will make it easier to predict the hourly share of the
proposed system to set an economical plan for the building.
The first section will describe the hand calculation of the system. The
calculation will use one day, as an example to demonstrate the method. Starting with
only one monthly value, for each month, the hand calculation will find the hourly
estimated power output throughout the day, then, the estimated daily total kWh that
can be produced. It is important to note that the hand calculation does not consider
the system losses, since it is going to be considered in the simulation more precisely.
The simulation will be produced using PVsyst, as quoted from the user help
booklet of the program, "PVsyst is a PC software package for the study, sizing and
data analysis of complete PV systems. It deals with grid-connected, stand-alone,
pumping and DC-grid (public transport) PV systems, and includes extensive
meteorological and PV systems components databases, as well as general solar
energy tools."(PVsyst., 2012) Comparison between both calculations will be
presented.
3.1.1 Process of progression:
The system to be proposed will be installed in Kingston University London,
Roehampton campus. The campus is positioned at 15 26 and -00 15 latitude andlongitude. The system proposed is to integrate a photovoltaic system with the
existing electrical system.
The main objective of the project is to, fully or partially; supply the facilitys
electrical demand throughout the year. This will be done by:
This chapter:
- Calculating the system demand and electric system review,
- Calculating the hourly solar radiation on the system,
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- Hand Calculation the hourly electrical power produced annually,
- Optimising the area used and evaluating the available options, system sizing,
Next Chapters:
- Calculating the monthly power production, losses and shading effect using a
simulating program,
- Electrical consideration and power layout,
- Economical Evaluation of the project,
- Comparison of the hand calculation and the simulation results,
The integration of a PV system with a building will be carried out while carefully
considering all the aspects.
3.1.2 Overview, System Demand and Electrical System Review:
The site consists of a main building, which is composed of a library, lecture
rooms, and engineering laboratories, and a secondary building, which mainly
consists of lecture rooms. The buildings total area is approximately 4730 m2
, the
total useful area, which is above the main building, is around 3030 m2. The electrical
load main consumptions are air chillers, laboratories machines, wind tunnel; which is
used for experimental purposes and derived by two main electrical motors, lights,
personal computers and printers.
Similar to all the building's systems in the UK, the facility has 240 Volt/ 50 Hz
electrical systems, which will be supplied through a three phase main incomer
connected on the main board with electrical meters. The main electrical board is
located at the east gate of the building. This main incomer is supplying both buildings
through two sub-boards and connected to monitoring system.
The calculation of the electrical demand of the facility had been carried out
based on electrical monthly bill readings over a period of three years. This monthly
bills had been converted from kWh consumption to kW consumption. The final
monthly demand is shown in figure 17 and table 1. For the sake of comparison, the
electrical demand is kept in kWh in later sections.
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Figure 17 system demand in kW
Table 1 System Demand kW
Month Electrical Demand (kW)
January 345.4943727
February 324.6823017
March 264.0997798
April 200.4881069
May 182.0981522
June 152.2148372
July 156.0801467
August 164.6080031
September 219.5328399
October 287.221441
November 355.4871879
December 341.3481184
The data in both the figure and the table above shows the variation of the
electrical demand from one month to another. It can be shown that the highest
demand had been consumed in November while the least consumption takes place
in June. This situation, unfortunately, contradicts with the incident solar radiationsduring each month, i.e. the highest measured incident solar radiation occurs in June
and July when the lowest electrical consumption takes place, and the lowest
measured incident solar radiation occurs in November, December and January. This
is why system sizing should be carried out with cautious consideration of all the
aspects, since the main purpose of the project is only to supply the facility
consumption. Not taking this into account would lead to an unnecessary increase of
the investment cost. This point shall later be discussed in detail.
0100
200
300
400
January
February
arch
April
ay
June
July
ugust
Septe
ber
ctober
ove
ber
Dece
ber
Monthly
Average
System
Demand
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3.2.1 Hand Calculation:
The hand calculations have been done using a Microsoft Excel data sheet. All
the data and the codes can be found in appendix A. The calculations have been
done for all the days in the same method; therefore, one-hour example will bepresented to demonstrate the methodology of the power output calculation followed.
Power output calculation for a specific site will predict the long term system
performance. Many methods have been developed to calculate the power output of a
PV system. (Duffie and Bickman, 2006) demonstrated many theories, (the reader
can refer to this reference for further reading). For the purpose of this project, one
method has been selected for implementation, with occasional adjustments from
other theories.
3.2.2 Summary and Assumptions:
The aim of this calculation is to estimate the total irradiance on a tilted surface
with knowledge of only one value of, average monthly radiation on a horizontal
surface. Location latitude and the slope angle are primarily data in addition with the
monthly average radiation. Knowing that solar constant is equal to 1367 W/m2will
make it possible to find the extraterrestrial radiation on a horizontal surface and
likewise, the clearness index.
Ideally, the building should be oriented to the south to optimally make use of
the direct (beam) and diffuse radiation throughout the year. However, as the system
is planned to be installed on an already built building's surface azimuth angle might
be considered if the building conditions does not allow a south facing system. The
buildings for the proposed system do not face south, but south-east (SE) with an
angle estimated to be approximately 23.2 from the south or 156.8 from the north.The surface azimuth angle is calculated from the south, thus the used angle in the
calculation will be 23.2. The average daily monthly radiation on September is 2800
Wh/m2. The selected day is the 3rd of September and the selected hour is between
12:00 and 13:00 (day time). The ground reflectance can be found in the NASA solar
database and its average for September is 0.09. Monthly ground reflectance
(Albedo) can be seen in table 2.
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Table 2. Monthly Ground Reflectance, (Albedo)
Month Albedo Value Month Albedo value
January 0.1 July 0.11
February 0.1 August 0.1March 0.09 September 0.09
April 0.10 October 0.08
May 0.11 November 0.10
June 0.11 December 0.10
3.2.3 Calculating the hourly solar radiation on the system:
The hourly solar radiations that fall on the system will be calculated using the
methodology mentioned in previous sections of this paper. The calculation for one
hour in one day will be presented. The selected day is the 3rd of September and the
selected hour will be between 12:00 and 13:00 (day time).Table 3 shows the monthly
global irradiation data on the proposed location and its general information, while
table 4 shows the day information. All the metrological data is taken from European
Commission (EC) solar database.
It should be established that this calculation is done to find the maximum
power production in this specific day and hour based on the final total useful area
calculated later in area assessment section, 408 m2. The optimal area is found after
many iteration calculations to size the system.
Table 3 illustrates the basic information about the day of the study and the
specific hour, which has been carried out as follows.
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Table 3 Monthly average meteorological data (EUROPEAN COMMISSION)
Month H Wh/m2 Day Time Ave. Temperature C Ave. Temperature C Albedo
Jan 736 5.9 5.2 0.1
Feb 1360 6.5 5.8 0.1
Mar 2210 8.2 7.2 0.09
Apr 3680 10.4 9.4 0.1
May 4650 13.5 15.6 0.11
Jun 4820 16.4 15.6 0.11
Jul 4860 18.7 17.8 0.11
Aug 4140 19.2 18.2 0.1
Sep 2800 16.7 15.5 0.09
Oct 1690 13.3 12.2 0.08
Nov 902 9 8.1 0.1
Dec 527 6.1 5.4 0.1
Year 2697.916667 12 11.1 0.099
Table 4 Site Data and Calculated information for one hour of the year
Global Irradiation OnHorizontal Plane
(Wh/m2)
2800 Day Length13.174 Equals to
13h 27m
Day of Month 3 H0(J/m2) 28688146
Month 9 H (J/m2) 10080000
Day of Year 246 Kt 0.351365
Declination Angle 6.958 Hd/H 0.593271
Latitude Angle 51.43 Hd (J/m2) 5980176
Tilt Angle 51 Sunrise (hours) 06:16
Azimuth Angle -23.2 Sunset 19:4