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Mohamed Zaid A. Karim & A. Hakim Saeed Noman
International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 38
Wind-Driven SEIG Systems: A Comparison Study
Mohamed Zaid A. Karim mdzakarim6@yahoo.com
Faculty of Engineering/ Department of Electrical Engineering
University of Aden
Aden/ Yemen
A. Hakim Saeed Noman ahakim201@yahoo.com
Faculty of Engineering/ Department of Electrical Engineering
University of Aden
Aden/ Yemen
Abstract
Wind energy is one of the fastest growing renewable energies in the world. This is because it
has a much lower environmental impact than conventional energy. In addition, it is one of the
lowest-priced renewable energy technologies.
Due to wind speed variation, induction generators are the best choice for such applications.
However, they have poor voltage and frequency regulation against wind speed or load
variations.
For its operation, the induction generator needs a reasonable amount of reactive power. In
stand-alone applications, the reactive power could be supplied to the induction generator by a
bank of capacitors as implemented here.
In this paper, simulation of wind turbine driven self excited induction generator (SEIG) has
been carried out. Three methods of voltage and frequency regulation have been presented,
simulated and analyzed.
The aim of this paper is to compare the three methods from many aspects highlighting the
advantages and disadvantages of each one.
Keywords: Wind Energy, Induction Generators, Self Excitation, Voltage Regulation,
Frequency Regulation.
1. INTRODUCTION
Renewable energy technologies are clean sources of energy that have a much lower
environmental impact than conventional energy technologies such as coal, oil, nuclear and
natural gas. In addition, renewable energy resources will never run out while conventional
sources of energy are finite and will someday be used up.
Wind turbines are the main components of wind farms. They are usually mounted on towers
to capture the most kinetic energy. Turbines catch the wind's energy with their blades. These
blades, usually three, are mounted on a shaft to form a rotor. Wind turbines could be of
vertical axis [1] or horizontal axis wind turbines.
Use of induction generators is becoming very popular for utilizing renewable energy sources
and converting it into electrical energy [2]. Self-excited induction generators have been widely
used during the last decades in wind energy conversion systems in remote isolated areas.
Despite the well known favorable features of induction generators, they, however, have
unsatisfactory voltage and frequency regulation with variation in load and speed [3].
In standalone applications, bank of capacitors are required to provide the reactive power for
the induction generator. The voltage build-up is initiated either by the generator residual flux
or by the pre-charged excitation capacitors. The steady state voltage and frequency depends
Mohamed Zaid A. Karim & A. Hakim Saeed Noman
International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 39
on the value of the excitation capacitors, the load, the magnetization characteristics and the
prime mover speed. The electrical load is continuously changing by nature as well as the
prim-mover speed. Thus, it is not an easy task to regulate the voltage and frequency of self
excited induction generators [4, 5].
Many researchers have determined the minimum capacitor for self-excited induction
generator. A simple and accurate method of calculating the minimum values of the excitation
capacitors is proposed in [6, 7].
Reactive power consumption and poor voltage and frequency regulation are the main
drawbacks of SEIGs. Many researches proposed many methods of voltage and frequency
regulations [5, 8-13].
In the present work, three systems of wind turbines-driven self excited induction generator
have been studied, simulated and analyzed using Matlab software. The three systems are
compared and their merits and demerits are highlighted.
2. SELF EXCITATION AND MATHEMATICAL MODEL OF THE SEIG
As mentioned above, the main drawback of induction generator in wind energy conversion
system applications is its need for a reactive power to build up the terminal voltage and to
generate electric power. Using capacitors across generator terminals can provide this reactive
power.
For the generator under consideration, the minimum values of the 3-φ, Y-connected,
excitation capacitors values are found to be 169 µF each. These values are selected so that
the SEIG produces the rated voltage at full-load condition.
If the value of the capacitor is so high, the corresponding excitation current may, by far,
exceed the rated current of the machine. This may damage the machine [7]. Thus, the
maximum value of the capacitor is taken corresponding to the rated current of the induction
generator.
These capacitors are included in the generator dynamic equation. The d-q model of the self-
excited induction generator, in the stationary stator reference frame, is given as [14]:














+






























=














+
+
++
++
dr
qr
cd0
cq0
dr
qr
ds
qs
rrrrmmr
rrrrmrm
mss
mss
K
K-
V
V
i
i
i
i
pLRLωpLLω
Lω-pLRLω-pL
pL
pC
1
pLR
pL
pC
1
pLR
00
00
0
0
0
0
where,
Rs and Rr are the stator and rotor resistances respectively
Ls = Lls + Lm and Lr = Llr + Lm
Lls and Llr are the stator and rotor leakage inductances respectively
Lm is the magnetizing inductance
C is the excitation capacitance
p is the differential operator (d/dt)
ωr is the equivalent electrical rotor speed in radians per second
Iqs, Ids, Iqr and Idr are stator and rotor quadrature and direct axis current components
Vcq0 and Vcd0 are the initial capacitors voltages along the q-axis and d-axis respectively
Kqr = ωr λdr0 and Kdr = ωr λqr0, are constants which represent the initial induced voltages along
the q-axis and d-axis, respectively. These constants are due to the residual magnetic flux in
the core
λqr0 and λdr0 are the residual rotor flux linkages along the q-axis and d-axis, respectively
Mohamed Zaid A. Karim & A. Hakim Saeed Noman
International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 40
3. SIMULATION OF THE WIND-DRIVEN SEIG
The self excited induction generator can produce rated voltage and frequency if the value of
the reactive power required by the generator is properly adjusted. However, this voltage
fluctuates with wind speed and load variation.
In this paper, three systems are considered to regulate the voltage and frequency. They are
designated, here, as System 1, System 2 and System 3.
Specifications of the test turbine and induction machine used in this simulation are [15]:
Turbine: 3600 W, diameter is 5.5 m, base wind speed is 8 m/s, air density is 1.23 kg/m
3
and power coefficient is 0.48
Induction machine: 3-φ, 3 kVA, 380 V, 50 Hz, 4-Poles, Squirrel cage, Y-connected.
Rs= 2.03 Ohm, R´r = 2.3 Ohm, Xls = 4.15 Ohm, X´lr = 4.2 Ohm, Xm = 79 Ohm
Load: 2050 W, 800 VAR
With no control, the schematic diagram for SEIG, as constructed in Matlab software, is
presented in Figure 1. It consists of three phase, star connected squirrel cage induction
machine working as self-excited induction generator and suitable values of excitation
capacitances across its stator terminals.
FIGURE 1: Self excited induction generator with wind turbine.
With 8 m/s (base speed) and 0
o
pitch angle, the simulated output voltage and its frequency so
obtained are shown in Figure 2 (a) and (b) respectively at full-load.
FIGURE 2 (a): Variation of Output Voltage.
Wind Turbine
Time (s)
Phasevoltage(V)
Mohamed Zaid A. Karim & A. Hakim Saeed Noman
International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 41
FIGURE 2 (b): Variation of Output Frequency.
To illustrate the effect of wind speed variation, the speed is assumed variable in the manner
shown in Figure 3. The variation is made every 3 seconds. The corresponding output voltage
is shown in Figure 4. The load is kept fixed at its full-load level. As seen, the generator
voltage varies with the wind speed. The frequency, however, remains almost unchanged [16].
FIGURE 3: Variation of Wind Speed.
FIGURE 4: Variation of Output Phase Voltage.
The generated voltage and its frequency are also affected due to load variation. By varying
the load in steps, the corresponding output voltages and frequencies are tabulated in Table 1.
Time (s)
Time (s)
Time (s)
Windspeed(m/s)Phasevoltage(V)Frequency(Hz)
Mohamed Zaid A. Karim & A. Hakim Saeed Noman
International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 42
Frequency (Hz)RMS Phase voltage (volt)Reactive load (VAR)Active load (watt)
502208002050
49.44230.57001800
48.852416001600
48.27251.735001400
47.7264.454001200
47.15282.8423001000
46.6293.45200800
46312.5100600
TABLE 1: Effect of load variation on output voltage and frequency.
As expected, the above table reveals that the output voltage increases as the load is
decreased. It is seen that the frequency decreases as the load is decreased. However, the
change in frequency is small as compared to the voltage change.
4. VOLTAGE REGULATION AGAINST WIND SPEED VARIATION
Variation of wind speed could be below or above the base wind speed. At low wind speed, the
output voltage decreases. According to the results given in Table 1, the load has to be
appropriately disconnected to bring back the output voltage to its rated value.
At higher values of wind speed, the output voltage increases. In such cases, pitch angle
control is used to control the generator output voltage. As wind speed increases, pitch angle
has to be suitably increased
5. VOLTAGE AND FREQUENCY REGULATION AGAINST LOAD
VARIATION
For voltage and frequency regulation against load variation, three systems are considered in
the present work.
System 1:
The system is presented in Figure 5. It consists of SEIG connected to the load through a
dc-link PWM voltage source inverter (VSI).
FIGURE 5: System 1.
In System 1, the generator is supplied with constant reactive power. The output voltage can
be controlled by adjusting the inverter modulation index (MI). The output frequency is fixed by
the frequency of the reference voltage of the inverter control circuit. Thus, the voltage and
frequency at the load side can be maintained at the required rated values i.e. 220 V (rms) and
50 Hz.
Wind Turbine
LC
filter
Mohamed Zaid A. Karim & A. Hakim Saeed Noman
International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 43
For the system under consideration, the frequency is set in the control circuit as 50 Hz and
the modulation index is set as 0.7 at full-load condition. With base wind speed (8 m/s), the
output voltage thus obtained is the rated value as shown in Figure 6.
FIGURE 6: Variation of output phase voltage (System 1).
For other settings of load level, the (MI) has to be adjusted to obtain rated load voltage. The
frequency remains fixed at 50 Hz. For other load levels, the modulation index is worked out
and presented in Table 2.
Active load (watt)
Reactive load
(VAR)
Modulation index
(MI)
1600 600 0.443
1400 500 0.425
1200 400 0.415
1000 300 0.405
800 200 0.403
600 100 0.400
TABLE 2: Modulation index at different load levels (System 1).
As the load is reduced, the generated voltage gets increased to a value which may, by far,
exceed the rated value. This is because the reactive power supplied by the capacitor is fixed
corresponding to full-load condition and not controlled by the inverter. The load voltage can
be maintained constant through modulation index control. However, increase of generator
voltage beyond the rated value is not allowed. Thus, this type of control should be
accompanied with pitch angle control to prevent the generator voltage from exceeding the
rated value.
The disadvantage of this system is that, at reduced wind speed, the generated voltage
decreases. Since the reactive power is fixed, load shedding is implemented to bring the
generator voltage back to its rated value. In addition, since the load current passes through
the semiconductor devices, their rating is high, depending upon the load current.
System 2:
The schematic diagram of System 2 is shown in Figure 7. In this system, the load is directly
connected to the generator terminals. The value of the excitation capacitor is selected to
generate the rated voltage of SEIG corresponding to no-load condition. Under increasing
loads, the additional demand of reactive power is provided by the VSI system [17]. Thus the
generator voltage will not exceed the rated value. Hence pitch angle control is not required.
The value of the constant dc voltage, input to the inverter, must be greater than twice the
phase voltage [18].
As the load is varied, the output generated voltage is adjusted by controlling the reactive
power via modulation index control.
Time (s)
Phasevoltage(V)
Mohamed Zaid A. Karim & A. Hakim Saeed Noman
International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 44
FIGURE 7: System 2.
The output voltage obtained from the inverter is not sinusoidal. For that an LC filter is used to
improve the output voltage wave shape. In this syetem, MI = 0.69 for full-load condition. The
load voltage is found to be the rated one as shown in Figure 8. This, itself, is the generated
voltage.
FIGURE 8: Variation of load or generator Phase voltage (System 2).
Table 3 illustrates the relationship between the modulation index and the load, maintaining
rated output phase voltage. The frequency is fixed at 50 Hz by the inverter control circuit.
Here, wind speed is considered fixed at its base value.
Active load (watt) Reactive load (VAR) Modulation index
1600 600 0.645
1400 500 0.625
1200 400 0.615
100 300 0.605
800 200 0.59
600 100 0.576
TABLE 3: Modulation index at different load levels (System 2).
Unlike system 1, the load and generated voltages are maintained at their rated values at all
load levels in this system. Thus, pitch control is not required.
LC
filter
Wind Turbine
Time (s)
Phasevoltage(V)
Mohamed Zaid A. Karim & A. Hakim Saeed Noman
International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 45
The presence of the batteries is the main disadvantage of this system. Their presence
increases the cost of the system and limits the turbine power rating. They also require
periodic maintenance and replacement. However, these batteries are utilized to help the
generator in supplying the load when the wind speed decreases below the base speed.
Since the load current does not flow through the semiconductor devices, their rating is low.
System 3:
The schematic diagram of System 3 is shown in Figure 9. Again, here, the load is directly
connected to the generator terminals and the excitation capacitors are selected so that the
SEIG produces the rated voltage at no-load condition. At other load levels, the additional
demand of reactive power is provided by the VSI. Here also, the generator voltage will not
exceed the rated value. Therefore, pitch angle control is not required.
FIGURE 9: System 3.
The dc source used in System 2 is replaced by a 3-phase uncontrolled bridge rectifier in
System 3 [19]. The rectifier is fed from the generator output itself. The output of the inverter is
connected to the SEIG terminals through an LC filter.
The dc voltage input to the inverter will be disturbed if the load is changed. However, the
modulation index MI of the inverter will be adjusted to control the reactive power, bringing the
generator voltage and hence the rectifier output dc voltage back to its rated value.
For full-load condition, MI is set at 0.83. The output voltage is found to be at its rated value as
shown in Figure 10.
FIGURE 10: Variation of load phase voltage (System 3).
LC
filter
Wind Turbine
Time (s)
Phasevoltage(V)
Mohamed Zaid A. Karim & A. Hakim Saeed Noman
International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 46
Table 4 shows the relationship between modulation index and the load level so that the load
voltage is maintained at its rated value.
Active load (watt) Reactive load (VAR) Modulation index
1600 600 0.43
1400 500 0.409
1200 400 0.403
1000 300 0.40005
800 200 0.4
600 100 0.39
TABLE 4: Modulation index at different load levels (System 3).
Again, system 3, maintains rated generated voltages at all load levels. This is done by
adjusting the modulation index of the VSI.
At reduced wind speed, the generated voltage decreases. As there are no batteries,
compensation of the required reactive power is not possible. Thus, load shedding is
necessary to bring the generator voltage back to its rated value. This is the disadvantage of
this system.
In this system also, the load current does not flow through the semiconductor devices,
therefore, low rating devices may be used.
6. COMPARISON BETWEEN SYSTEM 1, SYSTEM 2 AND SYSTEM 3
The above three systems are now compared and there features are presented in Table 5.
Point of
Comparison
System 1 System 2 System 3
Capacitor
requirement
Capacitors are selected to
obtain rated voltage at full-
load condition
Capacitors are selected to
obtain rated voltage at no-
load condition
Capacitors are selected to
obtain rated voltage at no-
load condition
Decrease of
wind speed
Requires load shedding
Load shedding is not
required
Requires load shedding
Reduction of
load level
Load voltage remains
constant, while generator
voltage increases beyond
rated voltage. Pitch angle
control is necessary
Load voltage as well as
generator voltage remain
constant. Pitch angle
control is not required
Load voltage as well as
generator voltage remain
constant. Pitch angle
control is not required
Battery
requirement
No batteries are required Batteries are essential No batteries are required
Turbine and
generator
power rating
Rating of the rectifier-
inverter devices should be
considered
Number and capacity of
the of batteries should be
considered
No restrictions on power
rating
Cost Medium High Low
Rating of power
electronics
devices
High Low Low
TABLE 5: Comparison of the Three Systems.
The above discussion and Table 5 reveal that System 3 is better than System 1 and 2 from
cost and power rating points of view. Compared with System 1, System 3 does not require
pitch angle control at reduced load and compared with System 2, System 3 eliminates the dc
source (batteries) from its structure.
7. CONCLUSION AND FUTURE WORK
Wind energy is a clean source of energy that does not pollute the environment. In addition,
wind energy is free and sustainable. It is one of the fastest growing renewable energies in the
world.
Mohamed Zaid A. Karim & A. Hakim Saeed Noman
International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 47
Self excited induction generator can produce rated voltage and frequency if the values of the
excitation capacitors are properly chosen. These rated voltage and frequency get affected by
wind speed and load level disturbances.
Matlab software is used in this paper to simulate the wind driven SEIG considering the effects
of wind speed and load variation. Variation of generator voltage and frequency as a
consequence of wind speed or load level variation is presented and discussed.
Voltage and frequency regulation can be achieved using rectifier-inverter systems. In this
paper, three systems have been presented and discussed.
The three systems have been simulated and the corresponding results are presented, and
discussed.
In the three systems, the frequency is maintained constant, at 50 Hz, by fixing the frequency
of the reference wave in the control circuit of the inverter.
All the three systems, exhibit capability of regulating the load voltage through modulation
index control of the inverter.
The three systems are compared from many aspects highlighting the advantages and
disadvantages of each one.
From many aspects, System 3 is found to be better than the other two systems.
For future work, it is suggested that, for the same output power, comparison of the three
systems be made from points of view of efficiency, control complexity and cost.
8. REFERENCES
[1] Gerald M. Angle II, Franz A. Pertl, Mary Ann Clarke and James E. Smith. “Lift
Augmentation for Vertical Axis Wind Turbines”. International Journal of Engineering,
(IJE), Vol, 4, Issue 5, pp. 430-442, 2010.
[2] R. Bansal, T. Bhatti, and D. Kothari. “A bibliographical survey on induction generators
for application of nonconventional energy systems”. IEEE Trans. Energy Conversion,
vol. 18, no. 3, pp. 433-439, Sep. 2003.
[3] R. Bansal. “Three-phase self-excited induction generators: an overview”. IEEE
Transactions on Energy Conversion, vol. 20, no.2, pp. 292-299, Jun. 2005.
[4] E. Marra, and J. Pomilio. “Induction-generator-based system providing regulated voltage
with constant frequency”. IEEE Transactions on Industrial Electronics, vol. 47 no.4,
pp. 908-914, Aug. 2000.
[5] W. Chen, Y. Lin, H. Gau and C. Yu. “STATCOM controls for a self-excited induction
generator feeding random load”. IEEE transactions on power delivery, vol. 23, no. 4,
Oct. 2008.
[6] T. Chan. “capacitance requirements of self-excited induction generators”. IEEE
Transactions on Energy Conversion, vol. 8, no. 2, Jun. 1993.
[7] M. Al-Nuaim. “Study of using induction generator in wind energy applications.” Master
thesis, King Saud University, KSA, 2005.
[8] B. Singh, S. Murthy and S. Gupta. “STATCOM-based voltage regulator for self-excited
induction generator feeding nonlinear load”. IEEE transactions on industrial electronics,
vol. 53, no. 5, pp. 1437-1452, Oct. 2006
[9] A. Çaliskan. “Constant voltage, constant frequency operation of a self-excited induction
generator.” Master thesis, Middle east technical university, Turkey, 2005.
Mohamed Zaid A. Karim & A. Hakim Saeed Noman
International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 48
[10] Y. Chauhan, S. Jain, B. Singh. “A Prospective on Voltage Regulation of Self-Excited
Induction Generator for Industry Applications”. IEEE Trans. on Industry Applications, vol.
46, no 2, pp. 720-730, Jan. 2010.
[11] B. Singh, L. Shilpakar. “Analysis of a novel solid state voltage regulator for a self-excited
induction generator.” IEE Proceedings Generation, Transmission and Distribution, 1998,
vol. 145, no. 6, pp. 647-655.
[12] B. Singh, S. Murthy, S. Gupta. “A voltage and frequency controller for self-excited
induction generators”. Electric Power Components and Systems, vol. 34, No. 2, pp. 141-
157, Feb. 2006.
[13] T. Chan. “Analysis of self-excited induction generators using an interactive method”.
IEEE Trans. on Energy Conversion, vol. 10, no 3, pp. 502-507, 1995.
[14] D. Seyoum. “The dynamic analysis and control of a self-excited induction generator
driven by a wind turbine.” Ph.D thesis, University of New South Wales, Australia, 2003.
[15] J. Ardanuy, J. Mora and P. Gutierrez. “Voltage control of isolated self-excited induction
generator through series compensation.” Technical University of Madrid ISSN 0033-
2097, R. 88 NR 1a/2012, pp. 132-136.
[16] A. Othman. “Simulation and analysis of wind-driven induction generator.” MSc thesis,
University of Aden, Yemen, 2013.
[17] A. Hameed, A. Shaltout and M. Abdel-Aziz. “Frequency control of self-excited induction
generator in autonomous wind-energy systems.” 2nd International Conference on
Advanced Control Circuits And Systems, 2008, (ACCS’08).
[18] B. Saied and H. Mohammed. “Voltage and frequency regulation of a three phase
induction generator using voltage source inverter”. Al-Rafidain Engineering, vol. 20, no.
1, pp.58-69, Feb. 2011.
[19] K. Youssef, M. Wahba, H. Yousef and O. Sebakhy. “A new method for voltage and
frequency control of stand-alone self-excited induction generator using pwm converter
with variable dc link voltage.” American Control Conference, Washington, USA, 2008,
pp. 2486-2491.

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Wind-Driven SEIG Systems: A Comparison Study

  • 1. Mohamed Zaid A. Karim & A. Hakim Saeed Noman International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 38 Wind-Driven SEIG Systems: A Comparison Study Mohamed Zaid A. Karim mdzakarim6@yahoo.com Faculty of Engineering/ Department of Electrical Engineering University of Aden Aden/ Yemen A. Hakim Saeed Noman ahakim201@yahoo.com Faculty of Engineering/ Department of Electrical Engineering University of Aden Aden/ Yemen Abstract Wind energy is one of the fastest growing renewable energies in the world. This is because it has a much lower environmental impact than conventional energy. In addition, it is one of the lowest-priced renewable energy technologies. Due to wind speed variation, induction generators are the best choice for such applications. However, they have poor voltage and frequency regulation against wind speed or load variations. For its operation, the induction generator needs a reasonable amount of reactive power. In stand-alone applications, the reactive power could be supplied to the induction generator by a bank of capacitors as implemented here. In this paper, simulation of wind turbine driven self excited induction generator (SEIG) has been carried out. Three methods of voltage and frequency regulation have been presented, simulated and analyzed. The aim of this paper is to compare the three methods from many aspects highlighting the advantages and disadvantages of each one. Keywords: Wind Energy, Induction Generators, Self Excitation, Voltage Regulation, Frequency Regulation. 1. INTRODUCTION Renewable energy technologies are clean sources of energy that have a much lower environmental impact than conventional energy technologies such as coal, oil, nuclear and natural gas. In addition, renewable energy resources will never run out while conventional sources of energy are finite and will someday be used up. Wind turbines are the main components of wind farms. They are usually mounted on towers to capture the most kinetic energy. Turbines catch the wind's energy with their blades. These blades, usually three, are mounted on a shaft to form a rotor. Wind turbines could be of vertical axis [1] or horizontal axis wind turbines. Use of induction generators is becoming very popular for utilizing renewable energy sources and converting it into electrical energy [2]. Self-excited induction generators have been widely used during the last decades in wind energy conversion systems in remote isolated areas. Despite the well known favorable features of induction generators, they, however, have unsatisfactory voltage and frequency regulation with variation in load and speed [3]. In standalone applications, bank of capacitors are required to provide the reactive power for the induction generator. The voltage build-up is initiated either by the generator residual flux or by the pre-charged excitation capacitors. The steady state voltage and frequency depends
  • 2. Mohamed Zaid A. Karim & A. Hakim Saeed Noman International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 39 on the value of the excitation capacitors, the load, the magnetization characteristics and the prime mover speed. The electrical load is continuously changing by nature as well as the prim-mover speed. Thus, it is not an easy task to regulate the voltage and frequency of self excited induction generators [4, 5]. Many researchers have determined the minimum capacitor for self-excited induction generator. A simple and accurate method of calculating the minimum values of the excitation capacitors is proposed in [6, 7]. Reactive power consumption and poor voltage and frequency regulation are the main drawbacks of SEIGs. Many researches proposed many methods of voltage and frequency regulations [5, 8-13]. In the present work, three systems of wind turbines-driven self excited induction generator have been studied, simulated and analyzed using Matlab software. The three systems are compared and their merits and demerits are highlighted. 2. SELF EXCITATION AND MATHEMATICAL MODEL OF THE SEIG As mentioned above, the main drawback of induction generator in wind energy conversion system applications is its need for a reactive power to build up the terminal voltage and to generate electric power. Using capacitors across generator terminals can provide this reactive power. For the generator under consideration, the minimum values of the 3-φ, Y-connected, excitation capacitors values are found to be 169 µF each. These values are selected so that the SEIG produces the rated voltage at full-load condition. If the value of the capacitor is so high, the corresponding excitation current may, by far, exceed the rated current of the machine. This may damage the machine [7]. Thus, the maximum value of the capacitor is taken corresponding to the rated current of the induction generator. These capacitors are included in the generator dynamic equation. The d-q model of the self- excited induction generator, in the stationary stator reference frame, is given as [14]:               +                               =               + + ++ ++ dr qr cd0 cq0 dr qr ds qs rrrrmmr rrrrmrm mss mss K K- V V i i i i pLRLωpLLω Lω-pLRLω-pL pL pC 1 pLR pL pC 1 pLR 00 00 0 0 0 0 where, Rs and Rr are the stator and rotor resistances respectively Ls = Lls + Lm and Lr = Llr + Lm Lls and Llr are the stator and rotor leakage inductances respectively Lm is the magnetizing inductance C is the excitation capacitance p is the differential operator (d/dt) ωr is the equivalent electrical rotor speed in radians per second Iqs, Ids, Iqr and Idr are stator and rotor quadrature and direct axis current components Vcq0 and Vcd0 are the initial capacitors voltages along the q-axis and d-axis respectively Kqr = ωr λdr0 and Kdr = ωr λqr0, are constants which represent the initial induced voltages along the q-axis and d-axis, respectively. These constants are due to the residual magnetic flux in the core λqr0 and λdr0 are the residual rotor flux linkages along the q-axis and d-axis, respectively
  • 3. Mohamed Zaid A. Karim & A. Hakim Saeed Noman International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 40 3. SIMULATION OF THE WIND-DRIVEN SEIG The self excited induction generator can produce rated voltage and frequency if the value of the reactive power required by the generator is properly adjusted. However, this voltage fluctuates with wind speed and load variation. In this paper, three systems are considered to regulate the voltage and frequency. They are designated, here, as System 1, System 2 and System 3. Specifications of the test turbine and induction machine used in this simulation are [15]: Turbine: 3600 W, diameter is 5.5 m, base wind speed is 8 m/s, air density is 1.23 kg/m 3 and power coefficient is 0.48 Induction machine: 3-φ, 3 kVA, 380 V, 50 Hz, 4-Poles, Squirrel cage, Y-connected. Rs= 2.03 Ohm, R´r = 2.3 Ohm, Xls = 4.15 Ohm, X´lr = 4.2 Ohm, Xm = 79 Ohm Load: 2050 W, 800 VAR With no control, the schematic diagram for SEIG, as constructed in Matlab software, is presented in Figure 1. It consists of three phase, star connected squirrel cage induction machine working as self-excited induction generator and suitable values of excitation capacitances across its stator terminals. FIGURE 1: Self excited induction generator with wind turbine. With 8 m/s (base speed) and 0 o pitch angle, the simulated output voltage and its frequency so obtained are shown in Figure 2 (a) and (b) respectively at full-load. FIGURE 2 (a): Variation of Output Voltage. Wind Turbine Time (s) Phasevoltage(V)
  • 4. Mohamed Zaid A. Karim & A. Hakim Saeed Noman International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 41 FIGURE 2 (b): Variation of Output Frequency. To illustrate the effect of wind speed variation, the speed is assumed variable in the manner shown in Figure 3. The variation is made every 3 seconds. The corresponding output voltage is shown in Figure 4. The load is kept fixed at its full-load level. As seen, the generator voltage varies with the wind speed. The frequency, however, remains almost unchanged [16]. FIGURE 3: Variation of Wind Speed. FIGURE 4: Variation of Output Phase Voltage. The generated voltage and its frequency are also affected due to load variation. By varying the load in steps, the corresponding output voltages and frequencies are tabulated in Table 1. Time (s) Time (s) Time (s) Windspeed(m/s)Phasevoltage(V)Frequency(Hz)
  • 5. Mohamed Zaid A. Karim & A. Hakim Saeed Noman International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 42 Frequency (Hz)RMS Phase voltage (volt)Reactive load (VAR)Active load (watt) 502208002050 49.44230.57001800 48.852416001600 48.27251.735001400 47.7264.454001200 47.15282.8423001000 46.6293.45200800 46312.5100600 TABLE 1: Effect of load variation on output voltage and frequency. As expected, the above table reveals that the output voltage increases as the load is decreased. It is seen that the frequency decreases as the load is decreased. However, the change in frequency is small as compared to the voltage change. 4. VOLTAGE REGULATION AGAINST WIND SPEED VARIATION Variation of wind speed could be below or above the base wind speed. At low wind speed, the output voltage decreases. According to the results given in Table 1, the load has to be appropriately disconnected to bring back the output voltage to its rated value. At higher values of wind speed, the output voltage increases. In such cases, pitch angle control is used to control the generator output voltage. As wind speed increases, pitch angle has to be suitably increased 5. VOLTAGE AND FREQUENCY REGULATION AGAINST LOAD VARIATION For voltage and frequency regulation against load variation, three systems are considered in the present work. System 1: The system is presented in Figure 5. It consists of SEIG connected to the load through a dc-link PWM voltage source inverter (VSI). FIGURE 5: System 1. In System 1, the generator is supplied with constant reactive power. The output voltage can be controlled by adjusting the inverter modulation index (MI). The output frequency is fixed by the frequency of the reference voltage of the inverter control circuit. Thus, the voltage and frequency at the load side can be maintained at the required rated values i.e. 220 V (rms) and 50 Hz. Wind Turbine LC filter
  • 6. Mohamed Zaid A. Karim & A. Hakim Saeed Noman International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 43 For the system under consideration, the frequency is set in the control circuit as 50 Hz and the modulation index is set as 0.7 at full-load condition. With base wind speed (8 m/s), the output voltage thus obtained is the rated value as shown in Figure 6. FIGURE 6: Variation of output phase voltage (System 1). For other settings of load level, the (MI) has to be adjusted to obtain rated load voltage. The frequency remains fixed at 50 Hz. For other load levels, the modulation index is worked out and presented in Table 2. Active load (watt) Reactive load (VAR) Modulation index (MI) 1600 600 0.443 1400 500 0.425 1200 400 0.415 1000 300 0.405 800 200 0.403 600 100 0.400 TABLE 2: Modulation index at different load levels (System 1). As the load is reduced, the generated voltage gets increased to a value which may, by far, exceed the rated value. This is because the reactive power supplied by the capacitor is fixed corresponding to full-load condition and not controlled by the inverter. The load voltage can be maintained constant through modulation index control. However, increase of generator voltage beyond the rated value is not allowed. Thus, this type of control should be accompanied with pitch angle control to prevent the generator voltage from exceeding the rated value. The disadvantage of this system is that, at reduced wind speed, the generated voltage decreases. Since the reactive power is fixed, load shedding is implemented to bring the generator voltage back to its rated value. In addition, since the load current passes through the semiconductor devices, their rating is high, depending upon the load current. System 2: The schematic diagram of System 2 is shown in Figure 7. In this system, the load is directly connected to the generator terminals. The value of the excitation capacitor is selected to generate the rated voltage of SEIG corresponding to no-load condition. Under increasing loads, the additional demand of reactive power is provided by the VSI system [17]. Thus the generator voltage will not exceed the rated value. Hence pitch angle control is not required. The value of the constant dc voltage, input to the inverter, must be greater than twice the phase voltage [18]. As the load is varied, the output generated voltage is adjusted by controlling the reactive power via modulation index control. Time (s) Phasevoltage(V)
  • 7. Mohamed Zaid A. Karim & A. Hakim Saeed Noman International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 44 FIGURE 7: System 2. The output voltage obtained from the inverter is not sinusoidal. For that an LC filter is used to improve the output voltage wave shape. In this syetem, MI = 0.69 for full-load condition. The load voltage is found to be the rated one as shown in Figure 8. This, itself, is the generated voltage. FIGURE 8: Variation of load or generator Phase voltage (System 2). Table 3 illustrates the relationship between the modulation index and the load, maintaining rated output phase voltage. The frequency is fixed at 50 Hz by the inverter control circuit. Here, wind speed is considered fixed at its base value. Active load (watt) Reactive load (VAR) Modulation index 1600 600 0.645 1400 500 0.625 1200 400 0.615 100 300 0.605 800 200 0.59 600 100 0.576 TABLE 3: Modulation index at different load levels (System 2). Unlike system 1, the load and generated voltages are maintained at their rated values at all load levels in this system. Thus, pitch control is not required. LC filter Wind Turbine Time (s) Phasevoltage(V)
  • 8. Mohamed Zaid A. Karim & A. Hakim Saeed Noman International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 45 The presence of the batteries is the main disadvantage of this system. Their presence increases the cost of the system and limits the turbine power rating. They also require periodic maintenance and replacement. However, these batteries are utilized to help the generator in supplying the load when the wind speed decreases below the base speed. Since the load current does not flow through the semiconductor devices, their rating is low. System 3: The schematic diagram of System 3 is shown in Figure 9. Again, here, the load is directly connected to the generator terminals and the excitation capacitors are selected so that the SEIG produces the rated voltage at no-load condition. At other load levels, the additional demand of reactive power is provided by the VSI. Here also, the generator voltage will not exceed the rated value. Therefore, pitch angle control is not required. FIGURE 9: System 3. The dc source used in System 2 is replaced by a 3-phase uncontrolled bridge rectifier in System 3 [19]. The rectifier is fed from the generator output itself. The output of the inverter is connected to the SEIG terminals through an LC filter. The dc voltage input to the inverter will be disturbed if the load is changed. However, the modulation index MI of the inverter will be adjusted to control the reactive power, bringing the generator voltage and hence the rectifier output dc voltage back to its rated value. For full-load condition, MI is set at 0.83. The output voltage is found to be at its rated value as shown in Figure 10. FIGURE 10: Variation of load phase voltage (System 3). LC filter Wind Turbine Time (s) Phasevoltage(V)
  • 9. Mohamed Zaid A. Karim & A. Hakim Saeed Noman International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 46 Table 4 shows the relationship between modulation index and the load level so that the load voltage is maintained at its rated value. Active load (watt) Reactive load (VAR) Modulation index 1600 600 0.43 1400 500 0.409 1200 400 0.403 1000 300 0.40005 800 200 0.4 600 100 0.39 TABLE 4: Modulation index at different load levels (System 3). Again, system 3, maintains rated generated voltages at all load levels. This is done by adjusting the modulation index of the VSI. At reduced wind speed, the generated voltage decreases. As there are no batteries, compensation of the required reactive power is not possible. Thus, load shedding is necessary to bring the generator voltage back to its rated value. This is the disadvantage of this system. In this system also, the load current does not flow through the semiconductor devices, therefore, low rating devices may be used. 6. COMPARISON BETWEEN SYSTEM 1, SYSTEM 2 AND SYSTEM 3 The above three systems are now compared and there features are presented in Table 5. Point of Comparison System 1 System 2 System 3 Capacitor requirement Capacitors are selected to obtain rated voltage at full- load condition Capacitors are selected to obtain rated voltage at no- load condition Capacitors are selected to obtain rated voltage at no- load condition Decrease of wind speed Requires load shedding Load shedding is not required Requires load shedding Reduction of load level Load voltage remains constant, while generator voltage increases beyond rated voltage. Pitch angle control is necessary Load voltage as well as generator voltage remain constant. Pitch angle control is not required Load voltage as well as generator voltage remain constant. Pitch angle control is not required Battery requirement No batteries are required Batteries are essential No batteries are required Turbine and generator power rating Rating of the rectifier- inverter devices should be considered Number and capacity of the of batteries should be considered No restrictions on power rating Cost Medium High Low Rating of power electronics devices High Low Low TABLE 5: Comparison of the Three Systems. The above discussion and Table 5 reveal that System 3 is better than System 1 and 2 from cost and power rating points of view. Compared with System 1, System 3 does not require pitch angle control at reduced load and compared with System 2, System 3 eliminates the dc source (batteries) from its structure. 7. CONCLUSION AND FUTURE WORK Wind energy is a clean source of energy that does not pollute the environment. In addition, wind energy is free and sustainable. It is one of the fastest growing renewable energies in the world.
  • 10. Mohamed Zaid A. Karim & A. Hakim Saeed Noman International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 47 Self excited induction generator can produce rated voltage and frequency if the values of the excitation capacitors are properly chosen. These rated voltage and frequency get affected by wind speed and load level disturbances. Matlab software is used in this paper to simulate the wind driven SEIG considering the effects of wind speed and load variation. Variation of generator voltage and frequency as a consequence of wind speed or load level variation is presented and discussed. Voltage and frequency regulation can be achieved using rectifier-inverter systems. In this paper, three systems have been presented and discussed. The three systems have been simulated and the corresponding results are presented, and discussed. In the three systems, the frequency is maintained constant, at 50 Hz, by fixing the frequency of the reference wave in the control circuit of the inverter. All the three systems, exhibit capability of regulating the load voltage through modulation index control of the inverter. The three systems are compared from many aspects highlighting the advantages and disadvantages of each one. From many aspects, System 3 is found to be better than the other two systems. For future work, it is suggested that, for the same output power, comparison of the three systems be made from points of view of efficiency, control complexity and cost. 8. REFERENCES [1] Gerald M. Angle II, Franz A. Pertl, Mary Ann Clarke and James E. Smith. “Lift Augmentation for Vertical Axis Wind Turbines”. International Journal of Engineering, (IJE), Vol, 4, Issue 5, pp. 430-442, 2010. [2] R. Bansal, T. Bhatti, and D. Kothari. “A bibliographical survey on induction generators for application of nonconventional energy systems”. IEEE Trans. Energy Conversion, vol. 18, no. 3, pp. 433-439, Sep. 2003. [3] R. Bansal. “Three-phase self-excited induction generators: an overview”. IEEE Transactions on Energy Conversion, vol. 20, no.2, pp. 292-299, Jun. 2005. [4] E. Marra, and J. Pomilio. “Induction-generator-based system providing regulated voltage with constant frequency”. IEEE Transactions on Industrial Electronics, vol. 47 no.4, pp. 908-914, Aug. 2000. [5] W. Chen, Y. Lin, H. Gau and C. Yu. “STATCOM controls for a self-excited induction generator feeding random load”. IEEE transactions on power delivery, vol. 23, no. 4, Oct. 2008. [6] T. Chan. “capacitance requirements of self-excited induction generators”. IEEE Transactions on Energy Conversion, vol. 8, no. 2, Jun. 1993. [7] M. Al-Nuaim. “Study of using induction generator in wind energy applications.” Master thesis, King Saud University, KSA, 2005. [8] B. Singh, S. Murthy and S. Gupta. “STATCOM-based voltage regulator for self-excited induction generator feeding nonlinear load”. IEEE transactions on industrial electronics, vol. 53, no. 5, pp. 1437-1452, Oct. 2006 [9] A. Çaliskan. “Constant voltage, constant frequency operation of a self-excited induction generator.” Master thesis, Middle east technical university, Turkey, 2005.
  • 11. Mohamed Zaid A. Karim & A. Hakim Saeed Noman International Journal of Engineering (IJE), Volume (8) : Issue (4) : 2014 48 [10] Y. Chauhan, S. Jain, B. Singh. “A Prospective on Voltage Regulation of Self-Excited Induction Generator for Industry Applications”. IEEE Trans. on Industry Applications, vol. 46, no 2, pp. 720-730, Jan. 2010. [11] B. Singh, L. Shilpakar. “Analysis of a novel solid state voltage regulator for a self-excited induction generator.” IEE Proceedings Generation, Transmission and Distribution, 1998, vol. 145, no. 6, pp. 647-655. [12] B. Singh, S. Murthy, S. Gupta. “A voltage and frequency controller for self-excited induction generators”. Electric Power Components and Systems, vol. 34, No. 2, pp. 141- 157, Feb. 2006. [13] T. Chan. “Analysis of self-excited induction generators using an interactive method”. IEEE Trans. on Energy Conversion, vol. 10, no 3, pp. 502-507, 1995. [14] D. Seyoum. “The dynamic analysis and control of a self-excited induction generator driven by a wind turbine.” Ph.D thesis, University of New South Wales, Australia, 2003. [15] J. Ardanuy, J. Mora and P. Gutierrez. “Voltage control of isolated self-excited induction generator through series compensation.” Technical University of Madrid ISSN 0033- 2097, R. 88 NR 1a/2012, pp. 132-136. [16] A. Othman. “Simulation and analysis of wind-driven induction generator.” MSc thesis, University of Aden, Yemen, 2013. [17] A. Hameed, A. Shaltout and M. Abdel-Aziz. “Frequency control of self-excited induction generator in autonomous wind-energy systems.” 2nd International Conference on Advanced Control Circuits And Systems, 2008, (ACCS’08). [18] B. Saied and H. Mohammed. “Voltage and frequency regulation of a three phase induction generator using voltage source inverter”. Al-Rafidain Engineering, vol. 20, no. 1, pp.58-69, Feb. 2011. [19] K. Youssef, M. Wahba, H. Yousef and O. Sebakhy. “A new method for voltage and frequency control of stand-alone self-excited induction generator using pwm converter with variable dc link voltage.” American Control Conference, Washington, USA, 2008, pp. 2486-2491.