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Research Inventy: International Journal Of Engineering And Science
Issn: 2278-4721, Vol. 2, Issue 5 (February 2013), Pp 32-38
Www.Researchinventy.Com

        Design and Construction of a Bi–Directional Solar Tracking
                                  System.
                                      1
                                        okpeki U.K. 2otuagoma.S.O
 1,2,
        Department of Electrical/Electronic/Computer Engineering, Delta State University, Oleh Campus, Nigeria.



Abstract: This paper concerns the design and construction of a bi-directional solar tracking system. The
constructed device was implemented by integrating it with 900V inverter and 12volts, 100AH battery. The
amount of power available from a photovoltaic panel is determined by three parameters, the type and area of
the materials, the intensity of the sunlight and the wavelength of the sunlight. With advancement in solar panel
technology, parameter one, the type and area of the material had been fully improved upon and standardized. In
this research work the other two parameters were fully addressed, as this device ensures maximum intensity of
sun rays hitting the surface of the panel from sunrise to sunset. Due to the atmosphere the sun energy is not as
great in the morning and evening compared to noontime.

Keywords: Darlington pair, solar radiation, comparator circuit, orthogonal position

                                                I.     Introduction
          At present, there is a great interest towards solving the energy problems facing the world, more
especially the third world countries. This has led to research on alternative energy source that would
complement the conventional fossil fuel. The alternatives energy sources include; solar, nuclear and wind, but in
this research work we focused on solar energy. Solar energy is the energy generated by harnessing the power of
the solar radiation. It is the cleanest source of energy whose use can contribute to saving exhaustible energy
sources. Photovoltaic panels converts the sun‟s radiation to electricity. The amount of power5 available from a
photovoltaic panel is determine by three parameters first, the type and area of the material, secondly the
intensity of the sunlight and the wavelength. With advancement in solar panel technology, parameter one had
been fully improved upon and standardized. Inthis research work, the other two parameter were fully addressed.
As this device, „‟solar tracker‟‟ ensures maximum intensity of sun rays hitting the surface of the panel from sun-
rise to sunset. A solar panel must be able to follow the sun‟s movement to produce the maximum possible
power. This is achieved through the designed and implementation of the tracker system, that maintains the panel
orthogonal position with the light source. The device is implemented by integrating it with a 900V inverter and
12V, 100AH battery. The construction of the tracker is made up of two segments, the electrical and the
mechanical part respectively. The electrical system consists of PV sensor, a comparator circuit and a battery.
The mechanical system consists of the DC motors, worm gears and the frame that housed the entire system.
Resistivity and induction tests were carried out on the DC motors to ensure their optimal performance in the
construction.

                                          II.        Literature Review
          Photovoltaic power was first discovered by a French scientist‟s Antoinc Becquerel in 1839. The first
working solar cell was successfully made by Charles frits in 1882. It was made of thin sheets of selenium and
coated with gold. The use of solar panels for generating electricity and heat seems relatively like new
development, it has actually been widely used to generate power since early 1900‟s. In 1954 bell laboratory
mass produced the first crystal silicon solar cell. The bell PV cell converted 4% of the sun‟s energy into
electricity a rate that was considered the cutting edge in energy technology. Scientists continued to reinvent and
enhanced on the design of the original silicon cell and were able to produce a solar cell that was capable of
putting 20% return electricity rate.In the late 1900‟s as awareness grew in the science community about the
effects of global warming and the need for renewable energy sources, scientists continued to refine the silicon
PV and by early 2000 they were able to make a solar cell with 24% electricity return. In just seven years
scientists were again able to increase the electricity return of silicon solar cell using space age materials. By
2007, modern silicon PV solar cells were operating with 28% electricity return. Each photovoltaic cell produces
a small amount of electricity so they are wired together into panels to provide enough current (D C) power so it
must be converted to alternating current (AC) with the aid of an inverter.


                                                         32
Design And Construction Of A Bi–Directional…

                                         III.      Methodology
        Here the actual circuit design, construction and implementation off the bi-directional tracking system
are analyzed in a finite order. The components used, their specifications and tests carried out on some
components to ensure their optimal performance.The construction was segmented into two, the electrical and
mechanical segments.

                                 Given below is the block diagram of the system.




  The electrical segment consists of the solar sensors, comparator circuit and the driver circuit all connected in
  Darlington pair (emitter follower). The mechanical system is made up of the DC motors and the worm gear
                                      assemblies the adjust the PV sensors.

                            SCHEMATIC DIAGRAM OF THE DRIVING CIRCUIT
                                                 VDD
                                                         5V
                                                              VDD

                                                                                          R3
                                                                                          10k
                   R1                                                                     7
                   10k
                   1
                                                                                          Q1

                  Q2                    D1                                 D2
                                        1N4004                             1N4004
                                                                                          BD139

                  BD139                                                                   6
                                                  S1                   8
                                    2
                                                  M
                                                                                    5
                   3
            4                                    MOTOR
                                                                           D4
                       Q3                                                  1N4004              Q4
                                        D3
                                        1N4004


                       BD140                                                                   BD140
                            0




         The power supply is from the 12volts battery and a DC motor is used because it rotates in both
directions by reversing the direction of current supplied. The power supply to the tracking device has only one
pole and the direction of the current to the motor need to be switched. And this was accomplished by the use of
the BJT transistors connected in Darlingtonpair in the circuit. The two pair of transistors work in conjunction
with each other to provide current through the motor in a certain direction. The upper transistor are PnP. When

                                                         33
Design And Construction Of A Bi–Directional…

transistors Q2&Q3 are turn on they allows current to pass through, the motor spins in one direction. If they are
turned off and transistor Q1&Q4 are turn on the motor spins in the opposite direction. The inputs to the driving
circuit are inverted, a high signal turned on the NPN BJT and a low signal turned the PnP BJT on. The diodes
are connected across the collector and emitter terminals of the BJTS, to eliminate the inductive kickback from
the motor. This kickback is a high voltage spike that can easily damage the transistor (BJT). When the voltage
gets above certain threshold value, the diodes effectively short the motor to the rails and the spike is eliminated.

                                        THE COMPARATOR CIRCUIT

                                                                                      9



                                R1
                                                                8
                                10K_LIN
                                           50%
                                Key = A                                                   Q1

                               1
          R5

                                R4                                                        BD139
          10K_LIN
                     50%        15k                                                  6
          Key = A                                               4                         5
                                                                         U1A
                                                       3
                               2
                                                                         1

                                                       2

                                                                11       LM348N
                                                                                               Q3
                                                  11



                                                                                               BD140
                                                                                                0



                                R2
                                                                                          Q2
                                   10K_LIN
                                            50%                     4
                                   Key = A                                   U2A
                                                           3
          R6
                               4                                             1            BD139
                                                                                      7
          10K_LIN                                         2                              3
                     50%
          Key = A                                                   11
                                R3                                           LM348N
                                47k
                                                                    0
                                                                                               Q4



                                                                                               BD140
                                                                                          0




It provides interface between the photovoltaic solar sensors and the driver circuit. It accurately senses the
voltage difference between the photo sensors and provides inputs to the driver circuit. The first segment of this
circuit that detects the voltage difference, is the analog comparator circuit and the second segment, that provides
the control input to the driver circuit consists of logic gates. As stated above, the LM348N is operational
amplifier with a power dissipation of 830MW. The two LM348W are connected to two sensors voltage dividers.
This comparator setup has overall power dissipation of 1 W.The sun rotates at 2n radians/24 hours or 7.272 ×
10-5 rad/s that corresponds to a frequency of about 1.16×10-5Hz. The comparator circuit cannot handle such fast
such switching speeds and the logic gates can‟t handle high frequency input signals hence there is the inclusion
low pass fitter that allows roughly 10HZ orlower in the circuit. Low pass fitter 15.KΩ resistor is used in the
10Wpass fitter. This value is gotten with this calculation. R = 1/(2π x 10Hz x 1μF) = 15KThe output from the
comparator circuit were not discrete hence a transistor was used to ensure this four of this transistor were used in
the circuit and they are connected in Darlington pair. When the light intensity is on one photo sensor, a pair of
these transistors whose inputs are connected to the comparator output to which this photo sensor is connected
will be biased and so turned on the motor. When the light radiation is equal on both photo sensors, both pair
would not biased. The driver circuit requires accurate control inputs to each of the four transistors, however, the
comparator only provides two inputs, the set of the logic gates were used to obtained the four inputs. When the
comparator outputs two high signals thatcorrespond to the tracker being pointed to the light source, outputs to
the transistor pair T1 and T3 in the driver go low and the outputs to T2 and T4 goes high. If one sensor shows a
higher intensity, the corresponding output goes high. The logic circuit sends signal to the driver to turn on the T1
T3& T2 T4 that corresponds to the rotation of the system in the direction of the light. The reverse goes for the
opposite sensor.

                                                           34
Design And Construction Of A Bi–Directional…

                                 THE FULL SOLAR TRACKER CIRCUIT




The two op-amps are connected to form a window comparator. it monitor the voltage at point „‟A‟‟ and keeps it
within a particular range sets by the two potentiometers. The voltage of point A vary only when the light
intensity falling on the two LDRS are not equal if the intensity of light hitting the upper LDR reduces its
resistance and rays crosses the reference level set by the upper potentiometer, that triggers the upper op-amp
whose output instantly goes low and turns on the driver transistors T 1& T3. The motor M1 connected to the
transistors activates and adjust the solar panel to face the sun rays at 90◦ degrees. When the light rays falling
over the lower LDR crosses the reference level set by the lower potentiometer. The level at point A will fall and
that input of the lower op-am goes low. Its output will invert to activates transistors T 2& T 4. The motor rotates
but in the opposite direction to correct the filt of the solar panel until everything is back to normal.

ENTIRE SYSTEM IMPLEMENTATION
         Finally the designed circuit and its accessories were arranged and packed in the mechanical casing
made of clear acrylic aluminum and steel. Solar panel dimension 28 × 21 × 1.7cm, flat form 45 × 30cm, column
45 × 2.5cm, bearing 17cm base 33 × 25 ×8cm.

The constructed prototype is shown in figure below.




 Test were carried out to find the resistance (R), inductance (L) and back electromagnetic force (EMF) constant
                                                  (K) of the motor.

                                                        35
Design And Construction Of A Bi–Directional…

(1) The equation for voltage across the DC motor is given below

                  V = Ri +    L + kω
(2) The equation for the torque produced by the motor is given as
                  T = ki = Dω + J + To

Where J, is constant of inertia, D damping factor, and TO, opposing torque. These values are required in
conformity with DC motor equations in order to determine power requirements.
Resistance: is calculated using ohm‟s law, V =IR.
Shown in the table 1 below are the results of the measurements. The average current, voltage and resistance
were 88.923, 0.213 and 1.994 respectively.

                                   Table 1:Preliminary Motor Tests Results

       Position        Current (mA)                   Voltage(V)            Resistance(Ω)
       1.              76.3                           0.24                  2.1926
       2.              115.1                          0.190                 1.5468
       3.              105.2                          0.206                 1.8210
       4.              96.2                           0.220                 2.1683
       5.              100.0                          0.214                 2.1282
       6.              106.5                          0.202                 1.8767
       7.              112.1                          0.200                 1.6672
       8.              86.2                           0.230                 2.5522
       Average         88.923                         0.213                 1.994

INDUCTANCE OF THE MOTOR
The inductance was solved for by creating an LC circuit and the values for the resistor and capacitor were
measured to be 98.50Ω and 96 nf respectively. The resonant frequency was found to be 15.8KHZ. going by the
equation for resonant frequency:

ωR = 1 / (L*C)1/2
The inductance was calculated to be 1.057mH.
THE BACK EMF CONSTANT (K) AND THE DUMPING FACTOR
The back EMF constant holds a linear relationship with the rotational speed (w) of the motor. With the steady
state equations give below:
V = Ri + kω
Where V is the total voltage across the motor, iis the current through it and R the resistance of the motor.
To find the constant K, the voltage and current for the motor were measured over different speeds. The results
are shown in table 2 below:

                                                      Table 2
Frequency in Hz     Voltage in V       Current in A        In rad/s         K in Vs/rad        D ( )
1.130E+01           1.880              0.179              7.728E+01          2.069E-02          3.691E-05
1.670E+01           1.750              0.182              1.112E+02          2.124E-02          2.476E-05
1.826E+01           1.920              0.184              1.210E+02          2.097E-02          2.189E-05
2.026E+01           2.220              0.185              1.336E+02          2.116E-02          1.930E-05
2.378E+01           2.680              0.184              1.557E+02          2.118E-02          1.503E-05
2.602E+01           3.010              0.183              1.698E+02          2.132E-02          1.299E-05
3.142E+01           4.500              0.185              1.911E+02          2.153E-02          1.084E-05
3.195E+01           3.880              0.189              2.070E+02          2.163E-02          1.863E-05
3.224E+01           5.270              0.193              2.717E+02          2.160E-02          1.435E-05

  The final measurement was the mechanical damping inherent in the unloaded motor. At Constant speed the
    damping is exactly equal to the torque generated by the motor. The torque generated is given below as
                                                   Ki = Dw
                                                        36
Design And Construction Of A Bi–Directional…

Where D is the damping factor. It was also calculated and found that, it changes with respect to the speed as
shown in table 2 above.

TRACKER POWER CONSUMPTION MEASUREMENTS
         To ensure that the tracking system produces more power it uses measurements were taken for power
consumption of each individual components of the system.The first measurement was of the total system, with
the shunt between the battery and the rest of the system. The current were measured when the system was
stationary and that of all others.
                                    The results are given in table 3 below.

                                        VR1 (mV)               Current (mA)             Power (W)
Stationary                              18.2                   36.40                    0.46
Altitude Axis moving                    88.0                   100.0                    2.20
Azimuth Axis Moving                     136.0                  200.0                    2.60
Both Axis Moving                        186.0                  300.0                    3.60

                        IV.         Analysis Of Result Of Some Components
         The bipolar junction transistors (BJT) were used in the construction because of their light power
efficiency and switching capabilities.The IN4004 rectifier diodes were used in the circuit construction because
of their high current surge capabilities. It eliminates the high voltage spike or kickback from the motor from
damaging the transistors.

4.1 ANALYSIS OF RESULTS OF TABLE 3 ABOVE
          From these result the following were deduced. The comparator and the quiescent current to the driver
circuit consume 0.48w when the system is stationary. The attitude axis consumes 2.4 – 0.48 = 1.92W when
moving sensor through maximum load point. The azimuth axis consumes 3.60 – 0.48 = 3.12W at its maximum
load point. The total power consumption at maximum load point is equal to o.48 + 1.92 + 3.12 = 5.52W.The
difference between this and the measured amount is due to the tracker not moving through both maximum
points at the same time. These measurements conclusively showed that the power consumption when the system
is not moving is less than a one watt and when is rotating it consumes 5.52W.
                  The bill of quantities for the solar tracker prototype is given in Table 4.

Description                                             Quantity          Unit cost           Price (naira)
Solar panel 10watt                                      1                 15,000              15,000
Solar controller 8amps                                  1                 5,000               5000
Battery 12v                                             1                 3,000               3000
Relay 12v                                               2                 100                 200
Transistor BD139 and BD140                              8                 50                  400
Resistors                                               8                 50                  400
LDR sensors                                             4                 150                 600
LM358 ICs                                               2                 100                 200
Vero board                                              2                 100                 200
Motor 12v                                               2                 1,000               2000
Mechanism construction and casing                       1                 5,000               5000
Cables and screws                                       1                 500                 500
Belt and grease                                         1                 7,000               7000
Total                                                                                         39,500

                                           V.        Conclusion
         Upon completion of the solar tracker prototype it was tested to ensure it meet design requirements and
specifications. It functioned properly in accordance to design specifications. Test showed that power used by
tracker system is less than the power gain by tracking the sun accurately. The most important conclusion of this
research, is the total cost of construction of the tracker system is very low, less than $500 (₦ 50,000.00). This
means the system can be mass produced at lower cost and at affordable rate by many communities in the
developing countries.


                                                       37
Design And Construction Of A Bi–Directional…

                                                            References
[1]    Bailis, Robert. “Wood in Household Energy Use”.Encyclopedia of Energy.2004. Pages 516, & 518.
[2]    Ackermann, T., Andersson, G., Söder, L. “Distributed generation: a definition”. Electric Power Systems Research. April 2000. Page
       195.
[3]    Banerjee, “Comparison of Options for Distributed Generation in India”. Energy Policy.Pages 105-110.
[4]    Goetzberger, A., Hebling, C., Schock, H..“Photovoltaic materials, history, status and outlook”.Materials Science and Engineering:
       R: Reports. 2002.
[5]    Mousazadeh, H., Keyhani, A., Javadi, A., Mobli, H., Abrinia, K., Sharifi, A..“A review of principle and sun-tracking methods for
       maximizing solar systems output”.Renewable and Sustainable Energy Reviews. January 2009. Pages 1800, 1800, 1804, 1806, &
       1812.
[6]    Krauter, Stefan. “Solar Electrical Power Generation: Photovoltaic Energy Systems”. Springer. 2006. Pages 21-22.
[7]    Mehleri, E., Zervas, P., Sarimveis, H., Palyvos, J., Markatos, N..“Determination of the optimal tilt angle and orientation for solar
       photovoltaic arrays”.Renewable Energy. April 2010. Page 2469.
[8]    J. Richard Williams, (1977) revised edition, solar energy technology and application. Publisher: annabor science publishers INC
[9]    Roy Meador, (1978) first edition, future energy alternatives. Publisher: annabor science publishers INC.
[10]   Milton a Rothman, (1977) first edition, energy and the future. Publisher: franklin watts INC in USA.
[11]   I.M. Blair and B.D. Jones, (1976) first edition, aspects of energy conversion. Publisher: pergamon press ltd
[12]   http://www.solar expect. Com/PV types.htm/ „‟solar energy and its relevance‟‟ Oct 8, 2011.




                                                                   38

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Research Inventy : International Journal of Engineering and Science

  • 1. Research Inventy: International Journal Of Engineering And Science Issn: 2278-4721, Vol. 2, Issue 5 (February 2013), Pp 32-38 Www.Researchinventy.Com Design and Construction of a Bi–Directional Solar Tracking System. 1 okpeki U.K. 2otuagoma.S.O 1,2, Department of Electrical/Electronic/Computer Engineering, Delta State University, Oleh Campus, Nigeria. Abstract: This paper concerns the design and construction of a bi-directional solar tracking system. The constructed device was implemented by integrating it with 900V inverter and 12volts, 100AH battery. The amount of power available from a photovoltaic panel is determined by three parameters, the type and area of the materials, the intensity of the sunlight and the wavelength of the sunlight. With advancement in solar panel technology, parameter one, the type and area of the material had been fully improved upon and standardized. In this research work the other two parameters were fully addressed, as this device ensures maximum intensity of sun rays hitting the surface of the panel from sunrise to sunset. Due to the atmosphere the sun energy is not as great in the morning and evening compared to noontime. Keywords: Darlington pair, solar radiation, comparator circuit, orthogonal position I. Introduction At present, there is a great interest towards solving the energy problems facing the world, more especially the third world countries. This has led to research on alternative energy source that would complement the conventional fossil fuel. The alternatives energy sources include; solar, nuclear and wind, but in this research work we focused on solar energy. Solar energy is the energy generated by harnessing the power of the solar radiation. It is the cleanest source of energy whose use can contribute to saving exhaustible energy sources. Photovoltaic panels converts the sun‟s radiation to electricity. The amount of power5 available from a photovoltaic panel is determine by three parameters first, the type and area of the material, secondly the intensity of the sunlight and the wavelength. With advancement in solar panel technology, parameter one had been fully improved upon and standardized. Inthis research work, the other two parameter were fully addressed. As this device, „‟solar tracker‟‟ ensures maximum intensity of sun rays hitting the surface of the panel from sun- rise to sunset. A solar panel must be able to follow the sun‟s movement to produce the maximum possible power. This is achieved through the designed and implementation of the tracker system, that maintains the panel orthogonal position with the light source. The device is implemented by integrating it with a 900V inverter and 12V, 100AH battery. The construction of the tracker is made up of two segments, the electrical and the mechanical part respectively. The electrical system consists of PV sensor, a comparator circuit and a battery. The mechanical system consists of the DC motors, worm gears and the frame that housed the entire system. Resistivity and induction tests were carried out on the DC motors to ensure their optimal performance in the construction. II. Literature Review Photovoltaic power was first discovered by a French scientist‟s Antoinc Becquerel in 1839. The first working solar cell was successfully made by Charles frits in 1882. It was made of thin sheets of selenium and coated with gold. The use of solar panels for generating electricity and heat seems relatively like new development, it has actually been widely used to generate power since early 1900‟s. In 1954 bell laboratory mass produced the first crystal silicon solar cell. The bell PV cell converted 4% of the sun‟s energy into electricity a rate that was considered the cutting edge in energy technology. Scientists continued to reinvent and enhanced on the design of the original silicon cell and were able to produce a solar cell that was capable of putting 20% return electricity rate.In the late 1900‟s as awareness grew in the science community about the effects of global warming and the need for renewable energy sources, scientists continued to refine the silicon PV and by early 2000 they were able to make a solar cell with 24% electricity return. In just seven years scientists were again able to increase the electricity return of silicon solar cell using space age materials. By 2007, modern silicon PV solar cells were operating with 28% electricity return. Each photovoltaic cell produces a small amount of electricity so they are wired together into panels to provide enough current (D C) power so it must be converted to alternating current (AC) with the aid of an inverter. 32
  • 2. Design And Construction Of A Bi–Directional… III. Methodology Here the actual circuit design, construction and implementation off the bi-directional tracking system are analyzed in a finite order. The components used, their specifications and tests carried out on some components to ensure their optimal performance.The construction was segmented into two, the electrical and mechanical segments. Given below is the block diagram of the system. The electrical segment consists of the solar sensors, comparator circuit and the driver circuit all connected in Darlington pair (emitter follower). The mechanical system is made up of the DC motors and the worm gear assemblies the adjust the PV sensors. SCHEMATIC DIAGRAM OF THE DRIVING CIRCUIT VDD 5V VDD R3 10k R1 7 10k 1 Q1 Q2 D1 D2 1N4004 1N4004 BD139 BD139 6 S1 8 2 M 5 3 4 MOTOR D4 Q3 1N4004 Q4 D3 1N4004 BD140 BD140 0 The power supply is from the 12volts battery and a DC motor is used because it rotates in both directions by reversing the direction of current supplied. The power supply to the tracking device has only one pole and the direction of the current to the motor need to be switched. And this was accomplished by the use of the BJT transistors connected in Darlingtonpair in the circuit. The two pair of transistors work in conjunction with each other to provide current through the motor in a certain direction. The upper transistor are PnP. When 33
  • 3. Design And Construction Of A Bi–Directional… transistors Q2&Q3 are turn on they allows current to pass through, the motor spins in one direction. If they are turned off and transistor Q1&Q4 are turn on the motor spins in the opposite direction. The inputs to the driving circuit are inverted, a high signal turned on the NPN BJT and a low signal turned the PnP BJT on. The diodes are connected across the collector and emitter terminals of the BJTS, to eliminate the inductive kickback from the motor. This kickback is a high voltage spike that can easily damage the transistor (BJT). When the voltage gets above certain threshold value, the diodes effectively short the motor to the rails and the spike is eliminated. THE COMPARATOR CIRCUIT 9 R1 8 10K_LIN 50% Key = A Q1 1 R5 R4 BD139 10K_LIN 50% 15k 6 Key = A 4 5 U1A 3 2 1 2 11 LM348N Q3 11 BD140 0 R2 Q2 10K_LIN 50% 4 Key = A U2A 3 R6 4 1 BD139 7 10K_LIN 2 3 50% Key = A 11 R3 LM348N 47k 0 Q4 BD140 0 It provides interface between the photovoltaic solar sensors and the driver circuit. It accurately senses the voltage difference between the photo sensors and provides inputs to the driver circuit. The first segment of this circuit that detects the voltage difference, is the analog comparator circuit and the second segment, that provides the control input to the driver circuit consists of logic gates. As stated above, the LM348N is operational amplifier with a power dissipation of 830MW. The two LM348W are connected to two sensors voltage dividers. This comparator setup has overall power dissipation of 1 W.The sun rotates at 2n radians/24 hours or 7.272 × 10-5 rad/s that corresponds to a frequency of about 1.16×10-5Hz. The comparator circuit cannot handle such fast such switching speeds and the logic gates can‟t handle high frequency input signals hence there is the inclusion low pass fitter that allows roughly 10HZ orlower in the circuit. Low pass fitter 15.KΩ resistor is used in the 10Wpass fitter. This value is gotten with this calculation. R = 1/(2π x 10Hz x 1μF) = 15KThe output from the comparator circuit were not discrete hence a transistor was used to ensure this four of this transistor were used in the circuit and they are connected in Darlington pair. When the light intensity is on one photo sensor, a pair of these transistors whose inputs are connected to the comparator output to which this photo sensor is connected will be biased and so turned on the motor. When the light radiation is equal on both photo sensors, both pair would not biased. The driver circuit requires accurate control inputs to each of the four transistors, however, the comparator only provides two inputs, the set of the logic gates were used to obtained the four inputs. When the comparator outputs two high signals thatcorrespond to the tracker being pointed to the light source, outputs to the transistor pair T1 and T3 in the driver go low and the outputs to T2 and T4 goes high. If one sensor shows a higher intensity, the corresponding output goes high. The logic circuit sends signal to the driver to turn on the T1 T3& T2 T4 that corresponds to the rotation of the system in the direction of the light. The reverse goes for the opposite sensor. 34
  • 4. Design And Construction Of A Bi–Directional… THE FULL SOLAR TRACKER CIRCUIT The two op-amps are connected to form a window comparator. it monitor the voltage at point „‟A‟‟ and keeps it within a particular range sets by the two potentiometers. The voltage of point A vary only when the light intensity falling on the two LDRS are not equal if the intensity of light hitting the upper LDR reduces its resistance and rays crosses the reference level set by the upper potentiometer, that triggers the upper op-amp whose output instantly goes low and turns on the driver transistors T 1& T3. The motor M1 connected to the transistors activates and adjust the solar panel to face the sun rays at 90◦ degrees. When the light rays falling over the lower LDR crosses the reference level set by the lower potentiometer. The level at point A will fall and that input of the lower op-am goes low. Its output will invert to activates transistors T 2& T 4. The motor rotates but in the opposite direction to correct the filt of the solar panel until everything is back to normal. ENTIRE SYSTEM IMPLEMENTATION Finally the designed circuit and its accessories were arranged and packed in the mechanical casing made of clear acrylic aluminum and steel. Solar panel dimension 28 × 21 × 1.7cm, flat form 45 × 30cm, column 45 × 2.5cm, bearing 17cm base 33 × 25 ×8cm. The constructed prototype is shown in figure below. Test were carried out to find the resistance (R), inductance (L) and back electromagnetic force (EMF) constant (K) of the motor. 35
  • 5. Design And Construction Of A Bi–Directional… (1) The equation for voltage across the DC motor is given below V = Ri + L + kω (2) The equation for the torque produced by the motor is given as T = ki = Dω + J + To Where J, is constant of inertia, D damping factor, and TO, opposing torque. These values are required in conformity with DC motor equations in order to determine power requirements. Resistance: is calculated using ohm‟s law, V =IR. Shown in the table 1 below are the results of the measurements. The average current, voltage and resistance were 88.923, 0.213 and 1.994 respectively. Table 1:Preliminary Motor Tests Results Position Current (mA) Voltage(V) Resistance(Ω) 1. 76.3 0.24 2.1926 2. 115.1 0.190 1.5468 3. 105.2 0.206 1.8210 4. 96.2 0.220 2.1683 5. 100.0 0.214 2.1282 6. 106.5 0.202 1.8767 7. 112.1 0.200 1.6672 8. 86.2 0.230 2.5522 Average 88.923 0.213 1.994 INDUCTANCE OF THE MOTOR The inductance was solved for by creating an LC circuit and the values for the resistor and capacitor were measured to be 98.50Ω and 96 nf respectively. The resonant frequency was found to be 15.8KHZ. going by the equation for resonant frequency: ωR = 1 / (L*C)1/2 The inductance was calculated to be 1.057mH. THE BACK EMF CONSTANT (K) AND THE DUMPING FACTOR The back EMF constant holds a linear relationship with the rotational speed (w) of the motor. With the steady state equations give below: V = Ri + kω Where V is the total voltage across the motor, iis the current through it and R the resistance of the motor. To find the constant K, the voltage and current for the motor were measured over different speeds. The results are shown in table 2 below: Table 2 Frequency in Hz Voltage in V Current in A  In rad/s K in Vs/rad D ( ) 1.130E+01 1.880 0.179 7.728E+01 2.069E-02 3.691E-05 1.670E+01 1.750 0.182 1.112E+02 2.124E-02 2.476E-05 1.826E+01 1.920 0.184 1.210E+02 2.097E-02 2.189E-05 2.026E+01 2.220 0.185 1.336E+02 2.116E-02 1.930E-05 2.378E+01 2.680 0.184 1.557E+02 2.118E-02 1.503E-05 2.602E+01 3.010 0.183 1.698E+02 2.132E-02 1.299E-05 3.142E+01 4.500 0.185 1.911E+02 2.153E-02 1.084E-05 3.195E+01 3.880 0.189 2.070E+02 2.163E-02 1.863E-05 3.224E+01 5.270 0.193 2.717E+02 2.160E-02 1.435E-05 The final measurement was the mechanical damping inherent in the unloaded motor. At Constant speed the damping is exactly equal to the torque generated by the motor. The torque generated is given below as Ki = Dw 36
  • 6. Design And Construction Of A Bi–Directional… Where D is the damping factor. It was also calculated and found that, it changes with respect to the speed as shown in table 2 above. TRACKER POWER CONSUMPTION MEASUREMENTS To ensure that the tracking system produces more power it uses measurements were taken for power consumption of each individual components of the system.The first measurement was of the total system, with the shunt between the battery and the rest of the system. The current were measured when the system was stationary and that of all others. The results are given in table 3 below. VR1 (mV) Current (mA) Power (W) Stationary 18.2 36.40 0.46 Altitude Axis moving 88.0 100.0 2.20 Azimuth Axis Moving 136.0 200.0 2.60 Both Axis Moving 186.0 300.0 3.60 IV. Analysis Of Result Of Some Components The bipolar junction transistors (BJT) were used in the construction because of their light power efficiency and switching capabilities.The IN4004 rectifier diodes were used in the circuit construction because of their high current surge capabilities. It eliminates the high voltage spike or kickback from the motor from damaging the transistors. 4.1 ANALYSIS OF RESULTS OF TABLE 3 ABOVE From these result the following were deduced. The comparator and the quiescent current to the driver circuit consume 0.48w when the system is stationary. The attitude axis consumes 2.4 – 0.48 = 1.92W when moving sensor through maximum load point. The azimuth axis consumes 3.60 – 0.48 = 3.12W at its maximum load point. The total power consumption at maximum load point is equal to o.48 + 1.92 + 3.12 = 5.52W.The difference between this and the measured amount is due to the tracker not moving through both maximum points at the same time. These measurements conclusively showed that the power consumption when the system is not moving is less than a one watt and when is rotating it consumes 5.52W. The bill of quantities for the solar tracker prototype is given in Table 4. Description Quantity Unit cost Price (naira) Solar panel 10watt 1 15,000 15,000 Solar controller 8amps 1 5,000 5000 Battery 12v 1 3,000 3000 Relay 12v 2 100 200 Transistor BD139 and BD140 8 50 400 Resistors 8 50 400 LDR sensors 4 150 600 LM358 ICs 2 100 200 Vero board 2 100 200 Motor 12v 2 1,000 2000 Mechanism construction and casing 1 5,000 5000 Cables and screws 1 500 500 Belt and grease 1 7,000 7000 Total 39,500 V. Conclusion Upon completion of the solar tracker prototype it was tested to ensure it meet design requirements and specifications. It functioned properly in accordance to design specifications. Test showed that power used by tracker system is less than the power gain by tracking the sun accurately. The most important conclusion of this research, is the total cost of construction of the tracker system is very low, less than $500 (₦ 50,000.00). This means the system can be mass produced at lower cost and at affordable rate by many communities in the developing countries. 37
  • 7. Design And Construction Of A Bi–Directional… References [1] Bailis, Robert. “Wood in Household Energy Use”.Encyclopedia of Energy.2004. Pages 516, & 518. [2] Ackermann, T., Andersson, G., Söder, L. “Distributed generation: a definition”. Electric Power Systems Research. April 2000. Page 195. [3] Banerjee, “Comparison of Options for Distributed Generation in India”. Energy Policy.Pages 105-110. [4] Goetzberger, A., Hebling, C., Schock, H..“Photovoltaic materials, history, status and outlook”.Materials Science and Engineering: R: Reports. 2002. [5] Mousazadeh, H., Keyhani, A., Javadi, A., Mobli, H., Abrinia, K., Sharifi, A..“A review of principle and sun-tracking methods for maximizing solar systems output”.Renewable and Sustainable Energy Reviews. January 2009. Pages 1800, 1800, 1804, 1806, & 1812. [6] Krauter, Stefan. “Solar Electrical Power Generation: Photovoltaic Energy Systems”. Springer. 2006. Pages 21-22. [7] Mehleri, E., Zervas, P., Sarimveis, H., Palyvos, J., Markatos, N..“Determination of the optimal tilt angle and orientation for solar photovoltaic arrays”.Renewable Energy. April 2010. Page 2469. [8] J. Richard Williams, (1977) revised edition, solar energy technology and application. Publisher: annabor science publishers INC [9] Roy Meador, (1978) first edition, future energy alternatives. Publisher: annabor science publishers INC. [10] Milton a Rothman, (1977) first edition, energy and the future. Publisher: franklin watts INC in USA. [11] I.M. Blair and B.D. Jones, (1976) first edition, aspects of energy conversion. Publisher: pergamon press ltd [12] http://www.solar expect. Com/PV types.htm/ „‟solar energy and its relevance‟‟ Oct 8, 2011. 38