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SET2009 - 8th International Conference on Sustainable Energy Technologies, .Aachen, Germany.
                                     August 31st to 3rd September 2009
                                                 Page 1 of 6



          A Study on the Development of High Accuracy
                     Solar Tracking Systems
                     Seung Jin Oh1 , Jun Ho Hyun1, Yoon Joon Lee1,
               Kuan Chen2, NG Kim Choon3, Young Soo Lee4, Wongee Chun1

           1
             Nuclear &Energy Engineering Department, Jeju Nat’l Univ., Jeju, Korea
           2
              Department of Mechanical Engineering, University of Utah, Utah, USA
   3
     Department of Mechanical Engineering, Nat’l Univ. of Singapore, Singapore, Singapore
      4
        Solar Thermal and Geothermal Research Center Korea Institute of energy Research



ABSTRACT: Solar trackers play a central role in concentrating the sun light into an optical
fiber where at one end of fiber, a high-density light beam could emerge for indoor illumination,
high suns PV applications. Many solar trackers have been developed in the market but they are
relatively expensive and high accuracy of trackers may pose long term reliability problems. A
key component of the motion controller of trackers is the software, where flexibility, easy-of-
use and integration with other I/O ports are parameters for consideration. In this paper, we
demonstrate that a cost-effective solution with the off-the-shell software, such as the LabVIEW.
It offers solution with excellent accuracy in tracking as well as the output concentration in the
fiber reaching up to 200 suns. The tracker system takes advantage of global positioning data
(GPS) for the geographical location before applying the simultaneous controls such as the open
and closed loop operations. The closed loop feedback control with CdS sensors proves
effective in making real time corrections for gear backlashes or under an adverse disturbances
arising from strong winds, etc.

Keywords: Solar tracker, LabVIEW, Solar Position, Sunrise and Sunset time, Mini-dish


1. INTRODUCTION                                         Such equipment works best when pointed
                                                        directly at the sun, increasing the
   Solar energy is reliable and cost-effective          effectiveness over the non-tracking systems
as compared to other forms of renewable                 but it is at a marginally higher cost and
energy. The solar energy emits no pollutant             system complexity.
into environment, and it has been widely                   The accuracy of the solar trackers
accepted. Systems without a solar tracking              depends on the types of application:
system, although are lower in the initial               Concentrators meant for solar cells and day-
investment, but they have lower output.                 lighting systems would require higher
Hence, the motivation to study solar energy             degree of accuracy, ensuring the
systems with solar trackers is high as                  concentrated sun rays are directed at the
evident by the voluminous publications.                 prescribed numerical aperture near the focal
   A solar tracking system is a device for              point. Typically, concentrator systems are
orienting a day-lighting reflector, solar               either a single-axis or two-axes devices.
photovoltaic panel or concentrating solar               Large power plants or high temperature
reflector or lens toward the beam radiation             facilities may employ multiple ground-
of the sun. The sun's position with respect to          mounted mirrors and an absorber target with
earth varies both with the seasons and time             or without secondary concentration. One of
of day as the sun moves around the earth.               the key components of a motion controller
SET2009 - 8th International Conference on Sustainable Energy Technologies. Aachen, Germany
                                      31st August to 3rd September 2009
                                                 Page 2 of 6


in a tracker is software where the C-                   and declination angles with respect to the
language and Visual Basic are often used,               celestial equator or plane.(see Figure 1.)
and manufacturers of trackers have supplied
their systems with libraries for these
algorithms. The problem, however, is that it
is difficult for a user to integrate such codes
into the one main program. In this study, we
have employed a common platform based
on a commercially available code, the
LabVIEW, which is easily adapted by any
user.

2. Solar Position and Sunrise & Sunset
                                                        Figure 1: The horizon coordinator and the
   Generally, there are two methods                     celestial equator
available for solar tracking: An optical
method and the astronomical method to give                 In this figure, the Solar altitude(h) is the
the position of the sun rays at any time                angle between a line that points from the site
instance in a day. The optical method is                towards the centre of the sun, and the
called the “closed loop system”, it uses                horizon. The solar azimuth(A) is the angle
several feedback sensors such as a photo-               between the line from the observer to the
sensor and a position sensor and a                      sun projected on the ground and the line
comparator that differentiate the output                from the observer due south.
signals of sensors and thus, continuously                  The declination(δ) is one of the two
adjusting the system towards a brighter spot.           coordinates of the equatorial coordinate
Such a method has a drawback, i.e., it                  system, the other being either right
cannot track the sun in a cloudy day without            ascension or hour angle. The declination is
an extensive algorithm.                                 comparable to latitude, projected onto the
   The astronomical method, on the hand,                celestial sphere, and is measured in degrees
employs the longitude and latitude data of a            north and south of the celestial equator. One
location in-situ and it has the advantage of            of the coordinates used in the equatorial
simple programming, high degree accuracy                coordinate system for describing the
and less error. However, the inherent                   position of a point on the celestial sphere.
disadvantage is that it requires the starting              The hour angle(H) of a point is the angle
position of tracker to be always same from              between the half plane determined by the
day to day and the operating motors are                 Earth axis and the zenith (half of the
easily subject to the “backlash” effect due to          meridian plane) and the half plane
continuous adjustments from the GPS data.               determined by the Earth axis and the given
For these reasons, we have combined these               point. The solar altitude and azimuth are
methods in this study.                                  given by Eq.(1) and (2).
2.1 Algorithm for solar tracker                         sin θ e = sin δ sin φ + cos δ cos φ cos H (1)
    In this Solar tracking algorithm, the solar
altitude ( θ e ) and azimuth ( θ a ) are computed                   cos δ sin H                   (2)
                                                        sin θ a = −
in accordance to the location or site. The                             cosθ e
tracker device must be positioned
horizontally to implement the altitude and
azimuth angles along with the hour angle
SET2009 - 8th International Conference on Sustainable Energy Technologies. Aachen, Germany
                                      31st August to 3rd September 2009
                                                 Page 3 of 6


θ e : Solar elevation( altitude)                        3. Major component and Development
θ a : Solar azimuth
                                                        3.1 Major component
δ : Declination                                             The ultimate goal of this study is to
φ : Latitudeof observer                                 develop a high accuracy solar tracking
H : Hour angle                                          system with an optical and an astronomical
                                                        method. At first, the solar tracking system
2.2 Sunrise and Sunset time                             begins to work by using the calculated
  The solar tracking system must be                     altitude, azimuth, sunrise time and sunset
returned to the initial position after the sun          time. The system, then, compensates the
disappears below the horizon, otherwise it              malfunction by a feedback device (CdS)
must be started to track the sun after the sun          when it encounters urgent problems that the
appears above the horizon.                              backlash of gears occurs owing to a strong
   The sunrise and sunset time are calculated           wind and non-precision caused by non-
by Eq.(3).                                              exacted initial position
                                                            Four CdS sensors were used as a
T=H+α-(0.06571ⅹt)-6.622                  (3)            feedback device. CdS sensor is a sort of
                                                        variable resister whose internal resistance
   where, for sunrise,
                                                        varies with optical energy. Cds cell
t = N+((6-lngHour)/24)
                                                        generally become close to an insulator and
   For sunset,
                                                        when a light ray is incident on the surface of
t=N+((18-lngHour)/24)
                                                        cell, its internal resistance drops with the
                                                        incident energy.
T= Sunrise or Sunset time
                                                            When the system becomes perpendicular
H= Hour angle
                                                        to the sun, it casts shadow on all sensors,
N= day of year
                                                        and then the output voltage drops with the
α=Right ascension
                                                        resistance increasing.
lngHour =(longitude)/15
                                                            Unless otherwise, each sensor compares
                                                        the outputs and make the system to move
  A Right ascension(α) is the celestial
                                                        forward higher valued sensor.
equivalent of terrestrial longitude and
                                                            The principle of working of the solar
measures an east-west angle along the
                                                        tracking system developed in this study was
equator.
                                                        showed in figure 3.
  Figure 2 shows the block diagram of
LabVIEW for calculating the sunrise and
sunset time, which are compared with those
of KASI.




                                                        Figure 3: The principle of solar tracking
                                                        system
           (a)                     (b)
Figure 2: The algorithm for solar tracking;                The application written by LabVIEW
(a) the altitude and azimuth, (b) the sunrise           calculate the solar position as well as sunrise
and sunset time.                                        and sunset time and determine the steps of
SET2009 - 8th International Conference on Sustainable Energy Technologies. Aachen, Germany
                                     31st August to 3rd September 2009
                                                Page 4 of 6


step motors to transfer the signal to Motion           3.2 Application Software
Controller. Motion Controller transfers the
signal relevant to the each axis to two step               In this study LabVIEW was used for
motors that revolve as many as input steps.            developing the algorithm and application
   If the error signal occurs at the feedback          programme.
sensor, the application will set up the steps              LabVIEW (short for Laboratory Virtual
and compensate the position of solar tracker.          Instrumentation Engineering Workbench) is
   Hardware for developing the system                  a platform and development environment
includes NI-7352 motion controller, stepper            for a visual programming language from
drive, UMI(Universal Motion Interface) and             National Instruments. The graphical
2-axis stepper motor.                                  language is named "G". Figure 5 shows the
   A Mini-dish was used to verify the                  control application developed in LabVIEW.
performance of solar tracking system.                      As soon as the application runs, the solar
   The mini-dish is 30cm in diameter and               altitude and azimuth angle, sunrise and
has a hole in the middle of dish in which a            sunset time are calculated on a real time
optical fibre is connected in order to                 basis at SubVI in the loop showed in Figure
transmit concentrated rays. The 2nd mirror is          5 (a). In order to compute the number of
installed at the top of mini-dish which                step of motors the solar altitude and azimuth
transmits concentrated rays into the optical           angle are then input into another loop in
fibre.                                                 which the step-angle(0.144) and the gear
   Figure 4 shows the main components of               ratio are multiplied and the final steps are
solar tracking system. This system has 2-              outputted out of loop. The sunrise and
axis; both X-axis and Y-axis are rotated by            sunset time are transmitted to (c)loop and
stepper motors. A bevel gear with 2:1 of               those then are compared with the present
gear ratio was used at X-axis and sprocket             time during calculating steps. If the sunrise
gear and chains were used at Y-axis for                time corresponds to the present time, the
power delivery. Stepper drive and UMI                  system begins to track the sun from the
were installed in a lower part, which power            initial position, otherwise, if the sunset time
the stepper motors. There is a frame in a              corresponds, the system halts after returning
upper part at which the mini-dish and the              to the initial position.
CdS sensors were installed.
   The height of the system is 75cm and the
width is 40ⅹ40 cm. The frame was made of
aluminium profile.




                                                       Figure 5: The block diagram for system
Figure 4: The main components of solar                 control.
tracking system.
SET2009 - 8th International Conference on Sustainable Energy Technologies. Aachen, Germany
                                     31st August to 3rd September 2009
                                                Page 5 of 6


   The final steps outputted from (a)loop are          It was found that the average errors were
transmitted to (b) loop in which the                   less than 1 second. Figure 8 shows the still
command was transferred to the Motion                  shots of the solar tracking system where the
controller. In (b) loop the real-time values of        concentrated beam emerged from the other
four CdS sensors are read and compared                 end of the fibre. The concentrated beam
with each other.                                       could be used either for space illumination
   If all signals of sensors are equal, the            or for irradiation onto the multi-junction
system continues to work in an open loop. If           cells for electricity production at high
any signal of sensors differs with others, the         efficiency. The emergence of the
direction is decided in the loop and                   concentrated beams at the end of fibre is a
transmitted into (d) loop. In (d) loop, the            testimony of the accuracy achieved by the
direction     command       is     continuously        solar tracker.
transferred to the Motion Controller until all
of the outputs of sensors are equal.

4. Discussion

   Figure 6 and 7 show the results that the
solar altitude and azimuth calculated in this
study was compared with those of
KASI(Korea Astronomy & Space Science
Institute).
   The experimental conditions are as
follows;
                                                       Figure 6: Solar altitude.
   • Location : Jeju city, Jeju do, Korea
   • Longitude : Long. 126˚15΄60˝ E
   • Latitude : 33˚ 30΄ 30˝ N. Lat.
   • Date : 1st of January, 2009
   • Time : 00:01~ 24:00

   The maximum error of the solar altitude
angle was 0.0371 degree at 4 pm (local
time). Otherwise, the minimum error was
0.0006degree at 10 am (local time). The
maximum error of the solar azimuth angle
was 0.0823 degree at about 1 pm (local
time), otherwise the minimum error was                 Figure 7: Solar azimuth.
0.0012 degree at about 5 pm (local time). It
was found that the both maximum errors                 5. CONCLUSION
were occurred at dawn but this has not effect
on the result as there is no sun..                       In this study, the solar tracking system
   The sunrise and sunset time were                    was fabricated and has achieved high
calculated for the month of January, 2009,             accuracy for the tracking of the sun rays.
which were compared with those of KASI.
SET2009 - 8th International Conference on Sustainable Energy Technologies. Aachen, Germany
                                     31st August to 3rd September 2009
                                                Page 6 of 6




   Figure 8: The still shot of the solar tracking system operating at three time intervals of
   the day.

   Our tracker system is cost effective and            REFERENCES
the algorithm is relatively simple,
combining the advantages of both the                   [1]1. J. Meeus, Astronomical Algorithms,
optical and the astronomical methods.                     Willmann-Bell Inc. 1991
   A series of studies with the solar tracker          [2]1. J.W. Spencer, Fourier series
yield the following results.                              representation of the position of the sun,
                                                          Search 2, 172, 1971.
(1)The calculated solar altitude and azimuth           [3]M. Iqbal, An Introduction to Solar
   for the 1st of January, 2009 were                      Radiation, Academic Press, 1983.
   compared with those of KASI, and the                [4]P.I. Cooper, the absorption of solar
   average errors are less than 0.018 degrees             radiation in solar stills, Solar Energy 12,
   during the day.                                        pp. 333~346, 1969.
(2)The calculated sunrise and sunset times             [5]R. Walraven, Calculating the position of
   for the month of January, 2009 were                    the sun, Solar Energy, Vol. 20, pp.
   compared with those of KASI, and the                   393~397, 1978.
   average errors are found to be less than 1          [6]B.J Wilkinson, An improved FORTRAN
   second.                                                program for the rapid calculation of the
(3)The solar tracking system is found to be               solar position, Solar Energy, Vol. 27, pp.
   accurate and cost-effective and it can be              67~68, 1981.
   used in many fields such as data-                   [7]NREL, "Solar Position Algorithm for
   processing, concentrated PV, the                       Solar Radiation Applications," 2008.
   photocatalyst generation of hydrogen,               [8]http://www.lancasterfarms.com/cgi-bin/
   and contributing to the harnessing of the              jdatehow.pl, Calculating Sunrise/Sunset
   solar energy.                                          in Suffolk, Virginia.

ACKNOWLEDGEMENT

This work is supported by the grant
(No.R33-2008-000-10166-00) of the World
Class University (WCU) programme of the
Korea Science & Engineering Foundation.

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A Study on the Development of High Accuracy Solar Tracking Systems

  • 1. SET2009 - 8th International Conference on Sustainable Energy Technologies, .Aachen, Germany. August 31st to 3rd September 2009 Page 1 of 6 A Study on the Development of High Accuracy Solar Tracking Systems Seung Jin Oh1 , Jun Ho Hyun1, Yoon Joon Lee1, Kuan Chen2, NG Kim Choon3, Young Soo Lee4, Wongee Chun1 1 Nuclear &Energy Engineering Department, Jeju Nat’l Univ., Jeju, Korea 2 Department of Mechanical Engineering, University of Utah, Utah, USA 3 Department of Mechanical Engineering, Nat’l Univ. of Singapore, Singapore, Singapore 4 Solar Thermal and Geothermal Research Center Korea Institute of energy Research ABSTRACT: Solar trackers play a central role in concentrating the sun light into an optical fiber where at one end of fiber, a high-density light beam could emerge for indoor illumination, high suns PV applications. Many solar trackers have been developed in the market but they are relatively expensive and high accuracy of trackers may pose long term reliability problems. A key component of the motion controller of trackers is the software, where flexibility, easy-of- use and integration with other I/O ports are parameters for consideration. In this paper, we demonstrate that a cost-effective solution with the off-the-shell software, such as the LabVIEW. It offers solution with excellent accuracy in tracking as well as the output concentration in the fiber reaching up to 200 suns. The tracker system takes advantage of global positioning data (GPS) for the geographical location before applying the simultaneous controls such as the open and closed loop operations. The closed loop feedback control with CdS sensors proves effective in making real time corrections for gear backlashes or under an adverse disturbances arising from strong winds, etc. Keywords: Solar tracker, LabVIEW, Solar Position, Sunrise and Sunset time, Mini-dish 1. INTRODUCTION Such equipment works best when pointed directly at the sun, increasing the Solar energy is reliable and cost-effective effectiveness over the non-tracking systems as compared to other forms of renewable but it is at a marginally higher cost and energy. The solar energy emits no pollutant system complexity. into environment, and it has been widely The accuracy of the solar trackers accepted. Systems without a solar tracking depends on the types of application: system, although are lower in the initial Concentrators meant for solar cells and day- investment, but they have lower output. lighting systems would require higher Hence, the motivation to study solar energy degree of accuracy, ensuring the systems with solar trackers is high as concentrated sun rays are directed at the evident by the voluminous publications. prescribed numerical aperture near the focal A solar tracking system is a device for point. Typically, concentrator systems are orienting a day-lighting reflector, solar either a single-axis or two-axes devices. photovoltaic panel or concentrating solar Large power plants or high temperature reflector or lens toward the beam radiation facilities may employ multiple ground- of the sun. The sun's position with respect to mounted mirrors and an absorber target with earth varies both with the seasons and time or without secondary concentration. One of of day as the sun moves around the earth. the key components of a motion controller
  • 2. SET2009 - 8th International Conference on Sustainable Energy Technologies. Aachen, Germany 31st August to 3rd September 2009 Page 2 of 6 in a tracker is software where the C- and declination angles with respect to the language and Visual Basic are often used, celestial equator or plane.(see Figure 1.) and manufacturers of trackers have supplied their systems with libraries for these algorithms. The problem, however, is that it is difficult for a user to integrate such codes into the one main program. In this study, we have employed a common platform based on a commercially available code, the LabVIEW, which is easily adapted by any user. 2. Solar Position and Sunrise & Sunset Figure 1: The horizon coordinator and the Generally, there are two methods celestial equator available for solar tracking: An optical method and the astronomical method to give In this figure, the Solar altitude(h) is the the position of the sun rays at any time angle between a line that points from the site instance in a day. The optical method is towards the centre of the sun, and the called the “closed loop system”, it uses horizon. The solar azimuth(A) is the angle several feedback sensors such as a photo- between the line from the observer to the sensor and a position sensor and a sun projected on the ground and the line comparator that differentiate the output from the observer due south. signals of sensors and thus, continuously The declination(δ) is one of the two adjusting the system towards a brighter spot. coordinates of the equatorial coordinate Such a method has a drawback, i.e., it system, the other being either right cannot track the sun in a cloudy day without ascension or hour angle. The declination is an extensive algorithm. comparable to latitude, projected onto the The astronomical method, on the hand, celestial sphere, and is measured in degrees employs the longitude and latitude data of a north and south of the celestial equator. One location in-situ and it has the advantage of of the coordinates used in the equatorial simple programming, high degree accuracy coordinate system for describing the and less error. However, the inherent position of a point on the celestial sphere. disadvantage is that it requires the starting The hour angle(H) of a point is the angle position of tracker to be always same from between the half plane determined by the day to day and the operating motors are Earth axis and the zenith (half of the easily subject to the “backlash” effect due to meridian plane) and the half plane continuous adjustments from the GPS data. determined by the Earth axis and the given For these reasons, we have combined these point. The solar altitude and azimuth are methods in this study. given by Eq.(1) and (2). 2.1 Algorithm for solar tracker sin θ e = sin δ sin φ + cos δ cos φ cos H (1) In this Solar tracking algorithm, the solar altitude ( θ e ) and azimuth ( θ a ) are computed cos δ sin H (2) sin θ a = − in accordance to the location or site. The cosθ e tracker device must be positioned horizontally to implement the altitude and azimuth angles along with the hour angle
  • 3. SET2009 - 8th International Conference on Sustainable Energy Technologies. Aachen, Germany 31st August to 3rd September 2009 Page 3 of 6 θ e : Solar elevation( altitude) 3. Major component and Development θ a : Solar azimuth 3.1 Major component δ : Declination The ultimate goal of this study is to φ : Latitudeof observer develop a high accuracy solar tracking H : Hour angle system with an optical and an astronomical method. At first, the solar tracking system 2.2 Sunrise and Sunset time begins to work by using the calculated The solar tracking system must be altitude, azimuth, sunrise time and sunset returned to the initial position after the sun time. The system, then, compensates the disappears below the horizon, otherwise it malfunction by a feedback device (CdS) must be started to track the sun after the sun when it encounters urgent problems that the appears above the horizon. backlash of gears occurs owing to a strong The sunrise and sunset time are calculated wind and non-precision caused by non- by Eq.(3). exacted initial position Four CdS sensors were used as a T=H+α-(0.06571ⅹt)-6.622 (3) feedback device. CdS sensor is a sort of variable resister whose internal resistance where, for sunrise, varies with optical energy. Cds cell t = N+((6-lngHour)/24) generally become close to an insulator and For sunset, when a light ray is incident on the surface of t=N+((18-lngHour)/24) cell, its internal resistance drops with the incident energy. T= Sunrise or Sunset time When the system becomes perpendicular H= Hour angle to the sun, it casts shadow on all sensors, N= day of year and then the output voltage drops with the α=Right ascension resistance increasing. lngHour =(longitude)/15 Unless otherwise, each sensor compares the outputs and make the system to move A Right ascension(α) is the celestial forward higher valued sensor. equivalent of terrestrial longitude and The principle of working of the solar measures an east-west angle along the tracking system developed in this study was equator. showed in figure 3. Figure 2 shows the block diagram of LabVIEW for calculating the sunrise and sunset time, which are compared with those of KASI. Figure 3: The principle of solar tracking system (a) (b) Figure 2: The algorithm for solar tracking; The application written by LabVIEW (a) the altitude and azimuth, (b) the sunrise calculate the solar position as well as sunrise and sunset time. and sunset time and determine the steps of
  • 4. SET2009 - 8th International Conference on Sustainable Energy Technologies. Aachen, Germany 31st August to 3rd September 2009 Page 4 of 6 step motors to transfer the signal to Motion 3.2 Application Software Controller. Motion Controller transfers the signal relevant to the each axis to two step In this study LabVIEW was used for motors that revolve as many as input steps. developing the algorithm and application If the error signal occurs at the feedback programme. sensor, the application will set up the steps LabVIEW (short for Laboratory Virtual and compensate the position of solar tracker. Instrumentation Engineering Workbench) is Hardware for developing the system a platform and development environment includes NI-7352 motion controller, stepper for a visual programming language from drive, UMI(Universal Motion Interface) and National Instruments. The graphical 2-axis stepper motor. language is named "G". Figure 5 shows the A Mini-dish was used to verify the control application developed in LabVIEW. performance of solar tracking system. As soon as the application runs, the solar The mini-dish is 30cm in diameter and altitude and azimuth angle, sunrise and has a hole in the middle of dish in which a sunset time are calculated on a real time optical fibre is connected in order to basis at SubVI in the loop showed in Figure transmit concentrated rays. The 2nd mirror is 5 (a). In order to compute the number of installed at the top of mini-dish which step of motors the solar altitude and azimuth transmits concentrated rays into the optical angle are then input into another loop in fibre. which the step-angle(0.144) and the gear Figure 4 shows the main components of ratio are multiplied and the final steps are solar tracking system. This system has 2- outputted out of loop. The sunrise and axis; both X-axis and Y-axis are rotated by sunset time are transmitted to (c)loop and stepper motors. A bevel gear with 2:1 of those then are compared with the present gear ratio was used at X-axis and sprocket time during calculating steps. If the sunrise gear and chains were used at Y-axis for time corresponds to the present time, the power delivery. Stepper drive and UMI system begins to track the sun from the were installed in a lower part, which power initial position, otherwise, if the sunset time the stepper motors. There is a frame in a corresponds, the system halts after returning upper part at which the mini-dish and the to the initial position. CdS sensors were installed. The height of the system is 75cm and the width is 40ⅹ40 cm. The frame was made of aluminium profile. Figure 5: The block diagram for system Figure 4: The main components of solar control. tracking system.
  • 5. SET2009 - 8th International Conference on Sustainable Energy Technologies. Aachen, Germany 31st August to 3rd September 2009 Page 5 of 6 The final steps outputted from (a)loop are It was found that the average errors were transmitted to (b) loop in which the less than 1 second. Figure 8 shows the still command was transferred to the Motion shots of the solar tracking system where the controller. In (b) loop the real-time values of concentrated beam emerged from the other four CdS sensors are read and compared end of the fibre. The concentrated beam with each other. could be used either for space illumination If all signals of sensors are equal, the or for irradiation onto the multi-junction system continues to work in an open loop. If cells for electricity production at high any signal of sensors differs with others, the efficiency. The emergence of the direction is decided in the loop and concentrated beams at the end of fibre is a transmitted into (d) loop. In (d) loop, the testimony of the accuracy achieved by the direction command is continuously solar tracker. transferred to the Motion Controller until all of the outputs of sensors are equal. 4. Discussion Figure 6 and 7 show the results that the solar altitude and azimuth calculated in this study was compared with those of KASI(Korea Astronomy & Space Science Institute). The experimental conditions are as follows; Figure 6: Solar altitude. • Location : Jeju city, Jeju do, Korea • Longitude : Long. 126˚15΄60˝ E • Latitude : 33˚ 30΄ 30˝ N. Lat. • Date : 1st of January, 2009 • Time : 00:01~ 24:00 The maximum error of the solar altitude angle was 0.0371 degree at 4 pm (local time). Otherwise, the minimum error was 0.0006degree at 10 am (local time). The maximum error of the solar azimuth angle was 0.0823 degree at about 1 pm (local time), otherwise the minimum error was Figure 7: Solar azimuth. 0.0012 degree at about 5 pm (local time). It was found that the both maximum errors 5. CONCLUSION were occurred at dawn but this has not effect on the result as there is no sun.. In this study, the solar tracking system The sunrise and sunset time were was fabricated and has achieved high calculated for the month of January, 2009, accuracy for the tracking of the sun rays. which were compared with those of KASI.
  • 6. SET2009 - 8th International Conference on Sustainable Energy Technologies. Aachen, Germany 31st August to 3rd September 2009 Page 6 of 6 Figure 8: The still shot of the solar tracking system operating at three time intervals of the day. Our tracker system is cost effective and REFERENCES the algorithm is relatively simple, combining the advantages of both the [1]1. J. Meeus, Astronomical Algorithms, optical and the astronomical methods. Willmann-Bell Inc. 1991 A series of studies with the solar tracker [2]1. J.W. Spencer, Fourier series yield the following results. representation of the position of the sun, Search 2, 172, 1971. (1)The calculated solar altitude and azimuth [3]M. Iqbal, An Introduction to Solar for the 1st of January, 2009 were Radiation, Academic Press, 1983. compared with those of KASI, and the [4]P.I. Cooper, the absorption of solar average errors are less than 0.018 degrees radiation in solar stills, Solar Energy 12, during the day. pp. 333~346, 1969. (2)The calculated sunrise and sunset times [5]R. Walraven, Calculating the position of for the month of January, 2009 were the sun, Solar Energy, Vol. 20, pp. compared with those of KASI, and the 393~397, 1978. average errors are found to be less than 1 [6]B.J Wilkinson, An improved FORTRAN second. program for the rapid calculation of the (3)The solar tracking system is found to be solar position, Solar Energy, Vol. 27, pp. accurate and cost-effective and it can be 67~68, 1981. used in many fields such as data- [7]NREL, "Solar Position Algorithm for processing, concentrated PV, the Solar Radiation Applications," 2008. photocatalyst generation of hydrogen, [8]http://www.lancasterfarms.com/cgi-bin/ and contributing to the harnessing of the jdatehow.pl, Calculating Sunrise/Sunset solar energy. in Suffolk, Virginia. ACKNOWLEDGEMENT This work is supported by the grant (No.R33-2008-000-10166-00) of the World Class University (WCU) programme of the Korea Science & Engineering Foundation.