Renewable Energy Principles Lab 2

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Renewable Energy Principles group Lab 2

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  • Renewable Energy Principles 301/603

    Laboratory 2B

    Name, Student Number:

    Bruna S. Boneberg, 17356020; Darlen P. Lovi, 16718357;

    David Joynes, 16150124; Wint Wah Aung, 15448912.

    Title of the experiment: Study of Electrical Characteristics of 1-Axis

    Tracking Monocrystalline PV Arrays.

    Laboratory group: Wed 1400-1700

    Laboratory supervisor: Tahoura Hosseinimehr

    Date performed: 20/03/2014

    Due date: 03/04/2014

    Date submitted: 03/04/2014

    I hereby declare that this report is entirely my own work and has not been copied from any

    other student or past student.

    Student signature: --------------------------------------------------------------

  • 2

    Study of Electrical Characteristics of 1-Axis

    Tracking Monocrystalline PV Arrays.

    1. Introduction

    A mono-crystalline photovoltaic (PV) collector is composed of many single crystal

    silicon PV cells. These are made from wafers of silicon, which have been purposely cut into

    quadratic cells from silicon ingots and combined to form a PV module. Mono-crystalline PV

    module portrays uniform characteristics and can have commercial efficiencies of up to 85%.

    The PV modules can be connected in series or parallel (depending on the preference of the

    user) to form arrays.

    It is often assumed that a PV array may be installed fixed to a surface and pointing in

    one direction considering the financial costs. However, technology has improved to the extent

    whereby there are possible solar tracking racks which the collector may be installed on. This

    provides the collector with the advantage of tracking the movement of the sun throughout the

    day. It increases the insolation on the surface of the photovoltaic (PV) array, and hence,

    maximizing its power output after the conversion of solar energy to electrical energy.

    A solar tracking axis may be of 1-Axis or Two-Axis configurations. A single axis

    configuration has the ability to track the sun along a single plane to the north and the south.

    On the other hand, a two-axis tracking has more advantage than the 1-axis system as it can

    track the movement of the sun also to the east and the west. The latter tracking system

    produces a power output greater than the 1-axis.

    The experiment carried out in Lab 2B at the GEEP lab gives an insight to the electrical

    characteristics of a 1-axis tracking mono-crystalline PV array. The PV array is composed of 8

    modules each at 190W/36.6V/5.2A, on a single-axis tracker. There are two parts to the

    experiment, and the results obtained will be used to identify and discuss the characteristics in

    this report. The lab manual was used to complete the experiments.

  • 3

    2. Aim and objectives

    The aim of laboratory 2B is to analyse the electrical characteristics of a 1-axis tracking

    mono-crystalline PV array.

    The objectives in this experiment are:

    To observe and analyze the effects of tracking on insolation on the collector;

    To observe and compare the changes of insolation on the collector at varying

    positions;

    To analyze the I-V and the P-V characteristics of a single module at highest

    and lowest insolation;

    To analyze the I-V and the P-V characteristics of two (2) and three (3)

    modules in parallel whilst facing the direction of the highest insolation.

    3. Method

    The equipment utilized were:

    Meter for tilt angle measurement (Inclinometer)

    Compass

    Optical thermometer

    GEEP Client TS2

    The laboratory 2B test was conducted using the GEEP Client Teaching Station 2. The 8

    modules which are mounted in the tracking system are connected in series and they are

    controlled at the Junction box via the switches. Since the modules are in series connection,

    the optimum voltage attained from the array is equal to the open circuit voltage of each

    module which is 36.6V. The tilt angle of the axis of the tracker was maintained at the local

    latitude angle of 32 degrees facing north for polar mounting, throughout the experiment. The

    experiment had two parts to it.

  • 4

    3.1. Part 1: Effect of tracking on Insolation on the Collector

    The switch on the tracker control panel was turned to manual mode and the PV array

    was made to rotate towards the direction of the sun. Then the analog pyranometer was

    placed on the frame of the array to record the insolation on the connected modules during

    the rotation. At the highest insolation, the Sunny sensor insolation and the insolation on

    the horizontal plane recorded by the weather monitor were captured using the snapshot

    view of the GEEP Client. Also, the two angles y and x and the distance, as shown in the

    Figure.1, were measured and recorded using the inclinometer with the assumption that the

    x and the y axis of the reference corner are parallel and normal to the True North. The

    procedure was repeated for 5 other positions with 2 east positions and 2 west positions of

    which one measured position corresponded to the modules facing north.

    Figure 1 Calculate a Perpendicular to the Plane. (Lab 2 Theory document)

  • 5

    3.2. Part 2: Measurement of I-V and P-V Characteristics of 1 Module

    In part 2 of the experiment there were 4 different tests conducted:

    3.2.1. One Module with Highest Insolation

    Figure 2 Teaching Station 2 with Labelled Switches and Breakers

    For initial settings, the switches and breakers on the TS2 panel were switched as

    shown below:

    OFF - TS2-CB1, TS2-CB2, TS2-SS2, TS2-SS3, TS2-224

    ON TS2-CBE2

    In this test, the capacitor bank replaced the TS2 battery bank. Through the

    waveform view the voltage of the capacitor was monitored. The capacitor bank was

    discharged by switching TS2-SS4 off and pressing the green button on the capacitor

    bank. The zero reading on the monitor (waveform view) implied that there was no more

    charge left in the capacitor. Once the zero voltage was achieved, the switch on the

    junction box was set to one module and the tracker to the angle of highest insolation

    achieved by the Sunny Sensor.

  • 6

    In order to capture the capacitor transient from the Waveform view, TS2_SHNT

    1 and TS2_V2 were selected to display the result on GEEP Client. They represented the

    measured current and voltage. After that, the green button was pressed for 5 seconds

    and then TS2_SS4 was switched to bypass for two seconds only. The transient

    appeared and the data was exported to excel. At times when the transient was not

    captured, the capacitor had to be discharged and would start again.

    The process was repeated for the three tests below. The junction box was visited

    three times while working on part 2 (a, c and d) to adjust the switch (under supervision)

    as required.

    3.2.2. One Module with Lowest Insolation.

    The procedure was similar to the above however the same module was rotated to

    receive the lowest insolation.

    3.2.3. Two Modules with Highest Insolation.

    The 2 modules were connected in parallel via the junction box and made to face

    the direction of the highest insolation. The procedure in 2 (a) was repeated.

    3.2.4. Three Modules with Highest Insolation.

    Lastly, 3 modules were also connected in parallel via the junction box and made

    to face the direction of the highest insolation. The procedure in 2 (a) was repeated.

  • 7

    4. Results

    4.1. Part 1 - Effect of Tracking on Insolation on the Collector

    Table 1 - Data for Part 1

    Insolation y () x() Comment

    940 18.9 11.9 Highest

    780 18.6 8.4 East1

    845 18.2 3.5 East2

    928 18.6 7.9 West1

    945 18.4 18.8 West2

    4.1.1. Question 1

    Date = 19 March 2014, n=78, Time = 2:00pm, L = -32

    H t x = (12 14) x 15 = -30

    = 23.45sin ((360/365) * (78 81))

    = -

    sin = cosLcoscosH + sinLsin

    = cos(-32)cos(-1.21048)cos(-30) + sin(-32)sin(-1.21048)

    = sin-1[cos(-32)cos(-1.21048)cos(-30) + sin(-32)sin(-1.21048)]

    =

    s = sin-1 [ cossinH / cos = cos(-1.21048)sin(-30) / cos(48.1988)]

    = - ,228.5874

    cos(-30) = 0.866 > tan(-1.21048) / tan(-32), Therefore

    s = -

    = 90 + = 90 48.1988 1.21048

    = 40.59072

    c = -

  • 8

    Table 2 Measurements recorded for Part 1 of Lab

    Position IntrSollar (W/m2) y () y() Sol Rad (W/m

    2) Tilt Angle () Ratio

    west(2) 994 18.4 18.8 606 24.2208 1.64026

    highest 1032 18.9 11.9 622 20.8349 1.65916

    east(1) 868 18.6 8.4 617 19.0197 1.40681

    west(1) 932 18.6 7.9 610 18.8267 1.52787

    east(2) 893 18.2 3.5 613 17.3425 1.45677

    The position of the highest insolation can be obtained by adjusting the switch

    manually. The measured values of x and y were 9 and 9 respectively

    From the datasheet for the PV2 module the dimensions are 1580 x 808 (mm) and

    the 2 x 4 array contains 8 modules meaning dx is 3.16m and dy is 3.232m.

    For P (in the direction of the positive y axis),

    b= 3.05 , c = 0.66

    And for Q (in the direction of the positive x axis)

    d= 2.98, f = 1.02

    = 32.3

    = -32.3

  • 9

    The collector altitude angle

    = 53.09

    The measured tilt angle for when the PV modules received the maximum

    insolation is then

    effective = 90 +

    = 90 53.09 + (-1.21048) = 35.69

    The collector azimuth angle (-35.69) for maximum insolation is also less than the

    calculated suns azimuth angle (-48.5874) which indicates the PV array is facing a

    more north-west direction to receive maximum insolation.

    The incidence angle of direct beam on the PV modules

    cos = coscos(s - c)sin + sincos

    = cos(48.19)cos(-48.5874 (-32.3))sin(35.69) + sin(48.19)cos(35.69)

    = 0.978

    = 11.84

  • 10

    4.1.2. Question 2

    Figure 3 Plot of Insolation recorded on PV Modules for Monocrystalline Array

    The main reason for the difference between sunny sensor and weather station

    monitor recorded insolation values is due to the weather station monitor mounted

    parallel to the horizontal plane The suns rays will never be directly overhead which is

    required if the collector is on the horizontal plane and to receive the best possible

    insolation. From the graph in figure 2, the sunny sensor will receive greater insolation

    as the 1-axis tracking PV array rotates throughout the day. The time period of the day

    must also be taken into consideration where the measurements were recorded just after

    solar noon when the sun is the highest in the northern sky. Therefore appropriately

    tilted modules will have a higher chance for the suns rays to strike the collector normal

    to the surface which results in a greater amount of insolation than horizontally tilted

    modules at this location.

  • 11

    4.1.3. Question 3

    In order to identify how much more insolation would be received by the 1-axis

    polar mount tracking array compared to a fixed PV north facing array.

    For 1-axis polar mounting:

    Insolation on collector, Ic=IBC+IDC+IRC

    Where:

    Beam radiation, IB=A*e-km

    Beam component of radiation, IBC=IB*cos

    Diffuse component, IDC=C*IB[ + /2]

    Reflected Component, IRC * IBH+IDH)*[(1-cos / ]

    Where IBH=IB*sin and IDH=C*IB

    Apparent extraterrestrial flux, A=1160+75*sin[(360/365)*(n-275)] W/m2

    Optical depth, k=0.174+0.035*sin[(360/365)*(n-100)]

    Air-mass ratio, m /sin

    C=0.095+0.04*sin[(360/365)*(n-100)

    Data: c = 68.06, = 20.72 , c = . , s = - 8. 8 , = 22.68 , n=78

    Total amount of radiation calculated = 1009.273 W/m

    Fixed PV north facing array:

    Insolation on collector, Ic=IBC+IDC+IRC

    Ic=Ae-km[cos*cos(s- c)*sin+sin*cos+C((1-cos /2)+* sin+C *((1-

    cos / ]

    Data: c = 68.06 , = 20.772, c = 0 , s = - 8. 8 , = 6. 8 , n=78

    Total amount of radiation calculated = 1003.753 W/m

    Percentage insolation received = (1009.273 1003.753) / 1009 = 0.55 %

  • 12

    4.2. Part 2: Measurement of I-V and P-V Characteristics of 1 Module

    Figure 4 Excel Data for I-V and P-V Characteristics

    -2

    0

    2

    4

    6

    8

    10

    12

    14

    16

    0 10 20 30 40 50

    Cu

    rren

    t (A

    )

    Voltage (V)

    PART A - Highest 1 mod

    PART B - Lowest 1 mod

    PART C - Highest 2 mod

    PART D - Highest 3 mod

    Figure 5 Current vs Voltage of 1-Axis Tracking Monocrystalline Array

    Figure 6 Power vs Voltage of 1-Axis Tracking Monocrystalline Array

  • 13

    4.2.1. Question 1

    The output current increases with increasing number of modules in parallel. The

    initial current (short circuit current) of three modules in parallel is approximately three

    times the value of the single module short circuit current. The short circuit current for 2

    modules in parallel is approximately twice the value of the single module short circuit

    current. We know that each module is essentially an independent current source and

    each module is essentially equal. Hence:

    I1 I2 I3

    And from our previous studies we know that current sources in parallel sum

    together. Hence;

    1 module parallel: IT = I1

    2 module parallel: IT = I1 + I2 = I1 + I1 = 2I1

    3 module parallel: IT = I1 + I2 + I3 = I1 + I1 + I1 = 3I1

    The above equations confirm what was seen in our results.

  • 14

    4.2.2. Question 2

    From the power against voltage graph we can determine the maximum power for

    each test and the voltage at which this occurs.

    Figure 7 Identifying Maximum Power for Each Configuration

    Power vs Voltage of 1-Axis Tracking Monocrystalline Array

    We can then use the voltage found above to mark on the current/voltage graph

    where the maximum power occurs and the current at which this power occurs.

    Figure 8 Identifying the Current of Maximum Power for Each Configuration

    Current vs Voltage of 1-Axis Tracking Monocrystalline PV Array

  • 15

    The maximum power and the voltage and current at which it occurs can be

    summarised in the table below:

    Table 3 - Summary for Maximum Power Output

    Configuration Maximum Power (W) Current (A) Voltage (V)

    1 - Full Insolation 140.6 4.71 29.84

    1 Low Insolation 137.4 4.50 30.57

    2 parallel Full Insolation 252.8 8.47 28.86

    3 parallel Full Insolation 364.9 12.04 30.30

    4.2.3. Question 3

    From the data sheet we can find the area for different number of modules in

    parallel. The insolation values are the highest and lowest values from part one of the

    experiment that were recorded. From these values and taking the voltage and current

    from the maximum power, the average energy conversion efficiency can be determined.

    Table 4 Area for Different Number of Modules

    Area 1 Modules 1.27664 m2

    Area 2 Modules 2.55328 m2

    Area 3 Modules 3.82992 m2

    Table 5 Calculating Conversion Efficiency

    Configuration Maximum

    Power (V,I) S Area

    1 - Full

    Insolation (29.84,4.71) 1032 1.27664 m

    2 0.10667

    1 Low

    Insolation (30.57,4.50) 928 1.27664 m

    2 0.11611

    2 parallel Full

    Insolation (28.86,8.47) 871 2.55328 m

    2 0.10991

    3 parallel Full

    Insolation (30.30,12.04) 871 3.82992 m

    2 0.10936

    Average Conversion Efficiency 0.1105375

    Looking at the data sheet for the PV cell, it is stated that the cell has a maximum

    efficiency of 14.4%. This indicates that our efficiency 11.054% is quite accurate.

  • 16

    4.2.4. Question 4

    Voc is calculated by finding the largest output voltage from the current/voltage

    graph. Isc is calculated by taking the values corresponding to the initial flat section of

    the current voltage graph and finding the average value. An example of this process is

    shown below.

    Figure 9 - Example Calculation for Isc

    As can be seen in the table below, the average fill factor Value was calculated to

    be 70.6%. From this we can assume that our results were accurate as a typical fill factor

    for a crystalline silicon PV cell is around 70-75%.

    Table 6 Calculating Fill Factor

    Configuration Maximum

    Power (W)

    Voc

    (V)

    Isc

    (A) FF =

    1 - Full Insolation 140.6 40.175 4.75 73.67%

    1 Low Insolation 137.4 40.04 4.72 72.70%

    2 parallel Full Insolation 252.8 40.15 9.10 69.19%

    3 parallel Full Insolation 364.9 40.50 13.48 66.84%

    Average Fill Factor 70.6%

  • 17

    4.2.5. Question 5

    Table 7 Calculating % Error in Isc

    Configuration Measured Isc Theoretical Isc % error

    1 - Full Insolation 4.75 5.62 15.48%

    1 Low Insolation 4.72 5.62 16.01%

    2 parallel Full Insolation 9.10 11.24 19.04%

    3 parallel Full Insolation 13.48 16.86 20.05%

    Average % Error in Short Circuit Current 17.74%

    Table 8 - Calculating % Error in Voc

    Configuration Measured Voc Theoretical Voc % error

    1 - Full Insolation 40.175 45.2 11.12%

    1 Low Insolation 40.04 45.2 11.42%

    2 parallel Full Insolation 40.15 45.2 11.17%

    3 parallel Full Insolation 40.50 45.2 10.40%

    Average % Error in Open Voltage Circuit 11.03%

    Table 9 Calculating Temperature of the Module

    Configuration Ambient

    Temperature S NOCT

    1 - Full Insolation 29.111111 0.662 45 48.55

    1 Low Insolation 28.722221 0.592 45 47.22

    2 Parallel Full Insolation 27.888889 0.538 45 44.70

    3 Parallel Full Insolation 27.888889 0.538 45 44.70

    Average Cell Temperature 46.28

    Table 10 Calculating % Error in Temperature of Module

    Configuration

    Tcell Theoretical % Error

    1 - Full

    Insolation 48.55 40.13 17.32%

    1 Low

    Insolation 47.22 39.03 17.34%

    2 Parallel Full

    Insolation 44.70 40.03 10.45%

    3 Parallel Full

    Insolation 44.70 40.03 10.45%

    Average % Error Cell Temperature 13.89%

  • 18

    Table 11 - % Error Maximum Power

    Configuration (V,I,TCell)

    Measured

    Pmax %Error

    1 - Full

    Insolation 29.84, 4.71, 48.55 123.99 140.6 11.81%

    1 Low

    Insolation 30.57, 4.50, 47.22 122.28 137.4 11.04%

    2 Parallel Full

    Insolation 28.86, 8.47, 44.70 220.37 252.8 12.83%

    3 Parallel Full

    Insolation 30.30, 12.04, 44.70 328.87 364.9 9.97%

    Average % Error 11.41%

    Table 12 Calculating % Error In Energy Conversion Efficiency

    Configuration Measured, Theorical % Error

    1 - Full Insolation 0.10667 0.1414 24.54%

    1 Low Insolation 0.11611 0.1414 17.89%

    2 Parallel Full Insolation 0.10991 0.1414 22.27%

    3 Parallel Full Insolation 0.10936 0.1414 22.70%

    Average % Error 21.85%

    4.2.6. Question 6

    Following the steps outlined in the theory, we can determine the parallel and

    series resistances of the PV module. As can be seen below, adding a trend line to the I-

    V graph for the single module at lowest insolation, we can more accurately determine

    suitable points. Taking 3 points will allow the results to be averaged for a more

    accurate calculated value for resistances. For simplicity, we will take points for current

    values of 1,2 and 3 amps.

  • 19

    Figure 10 Current vs Voltage of Lowest 1 Mod

    1-Axis Tracking Monocrystalline PV Array

    From previous questions, Isc2 = 4.72.

    Table 13 Variation of I

    Point (V2,I2) I Isc2 I2

    P1 (35.2,3) 1.72

    P2 (37.1,2) 2.72

    P3 (39.1,1) 3.72

    Now we must take the I values and use them to determine the I values on the

    I-V graph of 1 module at full insolation. The Isc1 for this graph is 4.75 as show

    previously.

    Table 14 Values of I1

    I I1 = Isc1 - I

    1.72 3.03

    2.72 2.03

    3.72 1.03

    We can determine the V1 values by plot the I1 currents on the I-V graph of 1

    module at full insolation.

  • 20

    Figure 11 Current vs Voltage of Highest 1 mod

    1-Axis Tracking Monocrystalline PV Array

    Using the points above we can now calculate series resistance Rs.

    Table 15 Series Resistance

    Point (V1,I1) Point (V2,I2)

    P1 (35.7,3.03) P1 (35.2,3) 0.03 6 6

    P2 (37.5,2.03) P2 (37.1,2) 0.03 3 33

    P3 (39.2,1.03) P3 (38.8,1) 0.03 3 33

    Average Series Resistance

    To calculate the parallel resistance we need to determine the slope of the initial

    flat section of the I-V graph. To do this we will find the average values of the flat

    section closest to the where the curve starts to decrease. For simplicity we will find the

    average current for a voltage of 25, as after the 25 volts the I-V graph appears to start

    decreasing. This can be seen below.

  • 21

    Figure 12 Average of Current

    Table 16 Parallel Resistance

    Point (V1,I1) Isc

    1 Module Full Insolation (25.1,4.69) 4.75 33

    1 Module Low Insolation (25.0,4.65) 4.72 3

    Average Parallel Resistance 3

    Theoretically the series resistance is neglible compared to the parallel shunt

    resistance. Our results support this with the series resistance being only 3.7% of the

    parallel resistance value. The circuit with these parameters can be seen below.

    Figure 13 Equivalent Circuit

  • 22

    4.2.7. Question 7

    Figure 14 Average of Pmax

    Table 17 Extra Power Generated

    Point (V1,I1) Measured Pmax Average Pmax Difference

    Pmax Measured - Pmax Theorical

    1 Module Full Insolation

    (25.1,4.69) 140.6 132.94 7.06

    1 Module Low Insolation

    (25.0,4.65) 137.4 130.33 7.07

    Average of Extra Power at maximum power point 7.065

  • 23

    5. Discussion

    From the experimental results, there were some great variations in expected results and

    there were others which proved relevant to the theories. It is important to note that this

    experiment like any experiment is prone to inaccuracies.

    In part 4.1, the effect of solar tracking on the collector was examined. From the

    recorded data, the highest insolation was 940 W/m2 and it was achieved at y=18.9 and

    x=11.9. As the tracking continued, different insolation values were recorded by the

    pyranometer as shown in Figure 3. As the collecter was tilted towards the east, the insolation

    on the collector decreased. In contrast, the insolation increased towards the east. The effect of

    tracking increases the solar radiation on the surface of the collector. Hence, the output power

    should increase proportionally.

    The altitude angle and the azimuth angle were calculated to be -1.21 and -48.59

    respectively. Effective tilt angle of the collector was 40.69 and its azimuth angle was equal

    to that of the suns, at the highest insolation When comparing the effective tilt with that of

    that measured, it showed that the measured value was 50% less than the calculated value.

    Also, the incidence angle of the beam was calculated to be 11.83.

    From the analysis of the insolation and ratio against the tilt angle, there are two facts to

    state. Firstly, the weather monitor is mounted parallel to the horizontal plane and therefore it

    results (Solar Rad) indicates that there is minimal variation of insolation on the horizontal

    module. Secondly, the sunny sensor it attached to the rotating PV array therefore it can

    measure the insolation variation when the collector is tracking the sun. It is recommended

    that modules be installed with a tilted angle at the GEEP laboratory to improve insolation on

    the collector.

    By using the results, the percentage of surplus insolation (that would be received by a

    1-axis polar mount tracking array) was compared between when positioned to receive the

    highest and the lowest insolation. It has been found that the highest insolation was

    1009.273W/m2, and the least was 1003.753W/m

    2. The percentage surplus insolation was only

    0.55%.

  • 24

    In part 4.2, the transients for the single-module to the 3-parallel modules shows

    characteristcs similar to the theories for photovoltaic modules. Our results successfully prove

    that the total current supplied for modules conneted in parallel is equal to the sum of the

    currents passing through each parallel string. It is also important to note that adding modules

    in series will increase voltage for a given current.

    Also, the maximum power points along plotted curves were determined through the

    method of hill climbing on the knee of the P-V curve. It was observed from the results that

    the 3-modules in parallel could produce the highest insolation. This is possible as the output

    power of the module is directly proportional to the current produced. This is an important

    finding as real life solar farms also have modules connected in parallel to increase output

    power. Another benefit is that modules that are shaded in parallel produce less current but do

    not affect the other modules. Where as a shaded module in series will reduce the total current

    of the whole string.

    From calculations, results shows that the collector has an efficiency of 11.05% which is

    a slightly reduced figure to the 14.14% expected efficiency of the monocrystalline module.

    This means power is being lost in the module. A likely cause of this is that some sunlight that

    has enough energy to jump electrons over the bandgap of the semiconductor are being

    absorbed and turned into heat instead. Another cause could be the air mass ratio being

    slightly different to the standard testing conditions of AM 1.5 and the parallel resistance and

    series resistane which are discussed later.

    The average fill factor was only 70.6% which is within the typical range of 70-75% for

    crystalline silicon solar collectors. This indicates that our results are accurate in determining

    the fill factor. The fill factor is a ratio of the power output of the module(s) at the maximum

    power point on the P-V curve and the resulting product of the open circuit voltage and short-

    circuit current, and hence, characterizes the performance of the module.

  • 25

    As we can see from the table for % errors in cell temperature, as the temperature has

    decreased so has cell temperature. As the Cell temperature decreases our results show that Isc

    % error has increased (Isc is not as large as it should be). This confirms our knowledge that

    current decreases with decreasing temperature. This is a significant finding as it means all our

    results that were taken last (3 module in parallel) and involve calculations using the current

    will also have increasing errors. What we learn from this is that the experiment should be

    performed fast as possible as the decresing temperature throughout the day starts to affect the

    efficiency of the module.

    We can also see that this decrease in cell temperature has slightly increased Voc. Which

    in turn slightly reduces the error between measured and theoretical Voc values.

    The average error in maximum power is 11.41%. This is very similar to the efficiency

    error of 11.05%. This is to be expected as the efficiency is derived from the maximum power.

    The reasons for error in the power are the same as the reasons for errors in the efficiency that

    were discussed earlier.

    In theory, the series resistance is very small and it is as demonstrated by the results as

    being only 3.7% of the parallel resistance at . The parallel resistance is large at

    3 It is a shunt resistance and the current caused by the reverse biased mode of the

    diode (when Isc=0) is diverted to it to minimize damage. However, it contributes to the losses

    in the output voltage as the current is dissipated through it when the resistance is not large

    enough. This is most evident when the insolation is the lowest as most of the light generated

    current would flow through the shunt resistance.

    However, our results do not show this as the insolation values for 2 and 3 modules in

    parallel at highest insolation are lower than the lowest insolation values. This has arisen from

    taking too long to complete the experiment and further emphasizes the need to perform the

    experiment quickly.

  • 26

    Another finding was the output power difference between 1 module at highest and at

    lowest insolation was only 7.065W. From the I-V characteristic graphs, the two plots are

    practically ontop of each other. This indicates that while the 1 module at lowest insolation

    had lower power than 1 module at highest insolation, it is very unlikely that this was infact

    the absolute lowest insolation level. In future we should ensure we are recording the actual

    lowest insolation value. This would push the two plots on the I-V graphs further apart. This

    would make calculating the series and parallel resistances much easier as the points would

    not be practically on top of each other and the values calculated would be more accurate.

    The limitations that may have contributed to inaccuracies in the results would be human

    error in taking measurements and recording them when using the equipments or the GEEP

    Client. There were times when the procedures were repeated due to communication

    breakdown and reflex errors in exporting data. Also, the non ideal air mass ratio needs to be

    taken into account when perform calculations. As well as the affect on the operation of the

    module due to decreasing temperature.

    By exploring this aspects of the monocrystalline PV array, it broadens the knowledge

    on the characteristic of power systems and its components. It also gives an insight to the

    needs of making comparisons of theoretical data with the practical data to determine the

    discrepancies between them. In that way the efficiency of the equipment may be determined.

    Then different approaches may be applied to try improve the efficiency to near optimum,

    which in turn reduces the system losses.

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    6. Conclusion

    Throughout the experiment the results recorded were well within reasonable variance of

    the theoretical expected values which indicates that the laws and rules that were being

    investigated hold true. This is demonstrated in the percentage error calculations which were

    all between 10-20%. Some of our confirmed findings include :

    1-axis tracking can be manually adjusted to different tilt angles along the north-

    south axis. It has a mechanism which allows the collector to track the sun from

    east to west.

    A PV array with a tracking system recieves large amounts of insolation on the

    collector surface compared to a horizontal or fixed PV array.

    Solar tracking gives the PV collectors the advantage of maximizing its daily

    power output.

    Increasing modules in parallel increases output power

    Total current for modules in parallel is equal to the sum of the currents in each

    branch

    Decreasing temperature decreases current and slightly increases Voc

    The series resistance is neglible compared to the parallel resistance

    Higher insolation means higher power

    The tested module has a stated maximum efficiency but in realilty the module

    will not always operate at this efficiency

    To improve the accuracy of our results in the future, we should work faster to ensure

    that the results taken are from a small section of the day. As our results indicated an increase

    in error for results taken later in the day. We should also ensure that the lowest insolation is

    the actual lowest value possible. This would of allowed for easier calculations and improved

    accuracy.

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    7. References

    G M Masters, Renewable and Efficient Electric Power Systems, 1st ed. Hoboken, NJ:

    John Wiley & Sons, 2004.

    REP 603 Lab 2B Manual, Renewable Energy Principles 603, Student Blackboard 2014

    REP 603 Lab 2B Theory Document, Renewable Energy Principles 603, Student Blackboard

    2014

    REP 603 Lecture Notes, Renewable Energy Principles 603, Student Blackboard 2014

    Suntech Power, STP 90S- /Ad+, PDF, Suntech: Revised 0