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TRANSCRIPT
International Journal on
“Technical and Physical Problems of Engineering”
(IJTPE)
Published by International Organization of IOTPE
ISSN 2077-3528
IJTPE Journal
www.iotpe.com
March 2014 Issue 18 Volume 6 Number 1 Pages 210-219
210
MULTIPULSE AC-DC CONVERTERS FOR HARMONIC REDUCTION
N.M. Tabatabaei 1,2 M. Abedi 1 N.S. Boushehri 1,2 A. Jafari 1,2
1. Electrical Engineering Department, Seraj Higher Education Institute, Tabriz, Iran
[email protected], [email protected], [email protected], [email protected]
2. Taba Elm International Institute, Tabriz, Iran
Abstract- The issue of power quality now days is a major
concerned area of research in the power sector. With the
advancement in the technology now, it is possible to keep
power sector free from pollution. In the past few years, a
lot of work has been done for the reduction of Total
Harmonic Distortion using different concepts and
applications. Harmonic treatment can be performed by two
methods, filtering, or cancellation. Here we deal with the
reduction of Total Harmonic Distortion using Multi-Pulse
AC to DC Conversion scheme. This paper has given an
idea that power quality can be improved with multi pulse
converter, Here 6, 12, 18, 24, 30, 36, 48 pulse converters
have been modeled and simulated in MATLAB/Simulink
software. Every such converter provides 6-pulse AC to DC
conversion, so in order to produce more sets of 6-pulse
systems, a uniform phase-shift is required and hence with
proper phase-shifting angle, 12, 18, 24, 30, and higher
pulse systems have been produced. The performance
improvement of multi-pulse converter is achieved for total
harmonics distortion (THD) in supply current, DC voltage
ripples.
Keywords: Harmonics, Multi-Pulse, Total Harmonic
Distortion (THD), Power Quality, Ripple Content.
I. INTRODUCTION
Power system harmonic distortion has existed since the
early 1900s, as long as AC power itself has been available.
The earliest harmonic distortion issues were associated
with third harmonic currents produced by saturated iron in
machines and transformers, so-called ferromagnetic loads.
A better understanding of power system harmonic
phenomena can be achieved with consideration of some
fundamental concepts, especially, the nature of nonlinear
loads, and the interaction of harmonic currents and
voltages within the power system.
By definition, harmonic (or nonlinear) loads are those
devices that naturally produce a non-sinusoidal current
when energized by a sinusoidal voltage source (Figure 1).
Each “waveform” on right, represents the variation in
instantaneous current over time for two different loads
each energized from a sinusoidal voltage source. Both
current waveforms were produced by turning on some type
of load device. In the case of the current on the left, this
device was probably a resistance heater.
Figure 1. Current waveform in harmonic (or nonlinear) loads
The current on the right could have been produced by
an electronic variable-speed drive, in Figure 2. While the
visual difference in the above waveforms is evident,
graphical appearance alone is seldom sufficient for the
power engineer required to analyze the effects of non-
sinusoidal loads on the power system. One method of
describing the non-sinusoidal waveform is called its
Fourier series. Jean Fourier was a French mathematician
of the early 19th century who discovered a special
characteristic of periodic waveforms.
Figure 2. Current waveform in an electronic variable-speed drive
Fourier discovered that periodic waveforms could be
represented by a series of sinusoids summed together. He
frequency of these sinusoids is an integer multiple of the
frequency represented by the fundamental periodic
waveform. The waveform on the left above, for example,
is described entirely by one sinusoid, the fundamental,
since it contains no harmonic distortion. This example
waveform is represented by only three harmonic
components, but some real-world waveforms (square
wave, for example) require hundreds of sinusoidal
components to fully describe them.
The magnitude of these sinusoids decreases with
increasing frequency. Equivalent harmonic components
are just a representation the instantaneous current as
described by the distorted waveform is what is actually
flowing on the wire. This representation is necessary
because it facilitates analysis of the power system.
International Journal on “Technical and Physical Problems of Engineering” (IJTPE), Iss. 18, Vol. 6, No. 1, Mar. 2014
211
The current drawn by non-linear loads passes through
all of the impedance between the system source and load.
This current produces harmonic voltages for each
harmonic as it flows through the system impedance. These
harmonic voltages sum and produce a distorted voltage
when combined with fundamental. The voltage distortion
magnitude is dependent on the source impedance and the
harmonic voltages produced. Figure 3 illustrates how the
distorted voltage is created. As illustrated, nonlinear loads
are typically modeled as a source of harmonic current [1].
Figure 3. Creation of distorted current
II. PROBLEMS RESULTING FROM HARMONICS
There are many problems, which can arise from
harmonic currents flowing in a power system. Harmonic
Currents cause higher RMS current and voltage in the
system, this can result in any of problems listed as below:
Table 1. Problems resulting from harmonics
Equipment Effect of Harmonics
Motor Overheating, production of
non-uniform torque, increased vibration
Transformer Overheating and insulation failure, noise
Switch gear and cables Neutral link failure, increased losses due to
skin effect and overheating of cables
Capacitors Life reduces drastically due to harmonic
overloading
Protective Relays Malfunction and nuisance tripping
Power electronic
equipment
Misfiring of Thyristors and failure of
semiconductor devices
Control &
instrumentation
Electronic equipment
Erratic operation followed by nuisance
tripping and breakdowns
Communication
equipment / PC’s Interference
Neutral cable
Higher Neutral current with 3rd harmonic
frequency, Neutral overheating and or
open neutral condition
Telecommunication
equipment
Telephonic interference, malfunction of
sensitive electronics used, failure of
telecom hardware
III. APPLICATION GUIDE FOR SOLVING
HARMONICS PROBLEMS
In the past few years, a lot of work has been done for
the reduction of total harmonic distortion using different
concepts and applications. In Figure 4, depict various
techniques used widely for reduction of harmonics.
Harmonic treatment can be performed by two methods,
filtering or cancellation [2, 3]. Many efforts have been
performed to reduce harmonic contents in the utility line
currents of controlled converters [8]. Passive filters have
been used in many researches with different
configurations, but this technique suffers from bulky,
heavy filter elements and sometimes causes resonance
problems [9].
Figure 4. Various Harmonic Reduction Techniques
Active filters have been used in many researches and it
seems to be an interesting option, but this technique suffers
from complexity and high cost [10]. Hybrid solutions
using active filters and passive filters are used in
high-power applications to improve passive filter
performance. However, this technique is heavy, has high
cost, complex construction, needs to be large, and it is not
readily available from the manufacturer [11, 12]. The
multi-pulse converter theory deals with the reduction of
harmonics present on the source side.
This theory involves with the phase shifting of the
input voltage and thereby breaking the input voltage into
number of pulses. As the pulse number increases, the
harmonics present in the input decreases and the total
harmonic distortion (THD) reduces. The use of six-pulse
diode bridge rectifier is the integral part of this system.
Using multi-pulse converters allows a reduction in the size
of the filtering element. Multi-pulse converter is a suitable
configuration to reach high power rating and high quality
output waveform besides.
Bridge rectifier is the basic block required for AC-DC
conversion, however, full wave and half-wave rectifiers
are also used up to 120 kW ratings [2]. In recent years, the
high power self-commutated AC-DC converters have
become an Intrinsic constituent in many industry and
power system applications, mainly due to their superior
features over conventional line commutated Thyristor
based converters, Such as the flexibility of controlling
reactive power from lead to lag and the ability of supplying
active power to weak or even passive networks.
The need to maintain high efficiency, forced these
converters to be connected to high voltages, typically few
hundreds of kilo volts. Three-phase controlled rectifiers
have a wide range of applications, from small rectifiers to
large High Voltage Direct Current (HVDC) transmission
systems. They are used for electro-chemical process, many
kinds of motor drives, traction equipment, controlled
power supplies, and many other applications.
In modern power electronics converters, a three-phase
controlled converter is commonly used especially as a
rectifier in interfacing Adjustable Speed Drives (ASD) [4],
[5] and renewable energy in electric utilities [6, 7]. Here
we deal with the reduction of total harmonic distortion
using multi-pulse AC to DC conversion scheme.
IV. TOTAL HARMONICS REDUCTION BY
MULTI PLUSE CONVERTORS
The present work is an effort towards analyzing the
different multi-pulse AC to DC converters (Figure 5) in
solving the harmonic problem in a three-phase converter
system [13].
Active Passive
Harmonic Reduction Techniques
Filters PWM
Rectifiers
Multipulse
Converters
Six Twelve Eighteen Twenty-Four Thirty Thirty-Six Forty-Eight
International Journal on “Technical and Physical Problems of Engineering” (IJTPE), Iss. 18, Vol. 6, No. 1, Mar. 2014
212
Figure 5. Multi-pulse converter configurations
Figure 6. Uncontrolled six-pulse converter
Figure 7. THD for input current of uncontrolled six-pulse converter
Figure 8. Uncontrolled twelve-pulse converter
Figure 9. THD for input current of uncontrolled twelve-pulse converter
Figure 10. Uncontrolled eighteen-pulse converter
Figure 11. THD for input current of uncontrolled eighteen-pulse converter
Figure 12. Uncontrolled twenty-four pulse converter
The effect of increasing the number of pulses on the
performance of AC to DC converters has been analyzed.
The three-phase multi-pulse AC to DC conversion system
employs a phase-shifting transformer and a three-phase.
Every such converter provides 6-pulse AC to DC
conversion, so in order to produce more sets of 6-pulse
systems, a uniform phase-shift is required and hence with
proper phase-shifting angle, 12, 18, 24, 30, and higher
pulse systems have been produced. The performance
improvement of multi-pulse converter is achieved for total
harmonics distortion (THD) in supply current, DC voltage
ripples.
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International Journal on “Technical and Physical Problems of Engineering” (IJTPE), Iss. 18, Vol. 6, No. 1, Mar. 2014
213
Figure 13. THD for input current of uncontrolled twenty-four pulse
converter
Figure 14. Uncontrolled thirty-pulse converter
Figure 15. THD for input current of uncontrolled thirty-pulse converter
The results are obtained for both uncontrolled and
controlled converters for RL load. For uncontrolled
conversion, diodes have been preferred, while for the
controlled conversion, Thyristor have been implemented.
The presented simulation results show the reduced THD at
supply side. These results agree with the IEEE Standards
519-1992.
Figure 16. Uncontrolled thirty six-pulse converter
Figure 17. THD for input current of uncontrolled six-pulse converter
Multi-pulse methods involve multiple converters
connected so that the harmonics generated by one
converter are a celled by harmonics produced by other
converters. By this means, certain harmonics related to
number of converters are eliminated from the power
source. In multi-pulse converters, reduction of AC input
line current harmonics is important as regards to the impact
the converter has on the power system. In Figure 5 depict
the various multi-pulse converter configurations.
V. SIMULATION OF UNCONTROLLED
MULTI-PULSE CONVERTERS
A. Six-Pulse Converter
The six pulse converter bridge shown in Figure 6. As
the basic converter unit of HVDC transmission is used for
rectification, where electrical power flows from the AC
side to the DC side and inversion where the power flow is
from the DC side to the AC side (Figures 6 and 7).
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International Journal on “Technical and Physical Problems of Engineering” (IJTPE), Iss. 18, Vol. 6, No. 1, Mar. 2014
214
Figure 18. Uncontrolled forty eight-pulse converter
Figure 19. THD for input current of uncontrolled forty eight-pulse
converter
Figure 20. Controlled six-pulse converter
The characteristic AC side current harmonics
generated by 6-pulse converters are 6n ± 1, Characteristic
DC side voltage harmonics generated by a 6-pulse
converter are of the order 6n ±1.
B. Twelve Pulse Converter
Twelve-pulse converter is a series connection of two
fully controlled six pulse converter bridges and requires
two 3-phase systems, which are spaced apart from each
other by 30 electrical degrees (Figures 8 and 9).
C. Eighteen Pulse Converter
In this 18-pulse topology, the magnetic circuit involved
is same as that of a 6-pulse converter. Therefore, this
topology is comparatively a preferred one. A phase shift of
20° has been provided between all three-phase shift
transformers with star connected secondary (Figures 10
and 11).
D. Twenty-Four Pulse Converter
The connection for 24-pulse converter and the
corresponding connections are shown in Figure 12. Four
six pulse converters phase shifted by 15 degrees from each
other, can provide twenty four pulse rectification,
obviously with much lower harmonics on AC and DC side.
Its AC output voltage would have 24n ± 1 order
harmonics i.e., 23rd, 25th, 47th, 49th harmonics with
magnitudes of 1/23rd, 1/25th, 1/47th, 1/49th, …
respectively, of the phase shift.
E. Thirty-Pulse Converter
The connection for 30-pulse converter and the
corresponding connections are shown in Figure 14,
six-pulse converters phase shifted by 12 degrees from each
other, can provide thirty-pulse conversion, and obviously
with much lower harmonics on AC and DC side. Its AC
output voltage would have 30n ± 1 order harmonics i.e.,
29th, 31st, 59th, 61st harmonics with magnitudes of
1/29th, 1/31st, 1/59th, 1/61st, respectively, of phase shift.
F. Thirty Six-Pulse Converter
The connection for 36-pulse converter and the
corresponding connections are shown in Figure 16. Six
six-pulse converters phase shifted by 10° from each other,
can provide thirty-six pulse conversion, and obviously
with much lower harmonics on AC and DC side. Its AC
output voltage would have 30n ± 1 order harmonics.
G. Forty Eight-Pulse Converter
For high power FACTS controllers, from the point of
view of the AC systems even a twenty four, thirty or
Thirty-six pulse converter without AC filters could have
voltage harmonics, which are higher than the acceptable
level. The alternative is to go for 48-pulse (Figure 18)
operation with eight six-pulse converters phase shifted
from each other by 7.5 degrees.
V. SIMULATION OF CONTROLLED
MULTI-PULSE CONVERTERS
A. Six-Pulse Converter
For the simulation of controlled multi pulse converters
instead of the diode bridge, we use the Thyristor Bridge
and the corresponding pulses are given (Figure 20).
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International Journal on “Technical and Physical Problems of Engineering” (IJTPE), Iss. 18, Vol. 6, No. 1, Mar. 2014
215
Figure 21. THD for input current of controlled six-pulse converter
B. Twelve-Pulse Converter (Figure 22)
Figure 22. Controlled twelve-pulse converter
Figure 23. THD for input current of controlled twelve-pulse converter
C. Eighteen-Pulse Converter (Figure 24)
Figure 24. Controlled eighteen-pulse converter
Figure 25. THD for input current of controlled eighteen-pulse converter
D. Twenty Four-Pulse Converter (Figure 26)
Figure 26. Controlled twenty four-pulse converter
Figure 27. THD for input current of controlled twenty four-pulse converter
E. Thirty-Pulse Converter (Figure 29)
Figure 28. THD for input current of controlled thirty-pulse converter
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216
Figure 29. Controlled thirty-pulse converter
F. Thirty Six-Pulse Converter (Figure 30)
Figure 30. Controlled thirty six-pulse converter
Figure 31. THD for input current of controlled thirty six-pulse converter
G. Forty-Eight Pulse Converter (Figure 32)
Figure 32. Controlled forty eight-pulse converter
Figure 33. THD for input current of controlled forty eight-pulse
converter
VI. SIMULATION RESULTS
All the data obtained after simulation of previously
mentioned models using MATLAB/Simulink has been
collected here to ease the comparison of factors accounted
for i.e. THD, ripple content and between uncontrolled and
controlled multi-pulse converters.
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c3
ZigzagPhase-Shifting Transformer
(-15 deg)
A+
B+
C+
A-
B-
C-
a3
b3
c3
ZigzagPhase-Shifting Transformer
(-05 deg)
A+
B+
C+
A-
B-
C-
a3
b3
c3
ZigzagPhase-Shifting Transformer
(+25 deg)
A+
B+
C+
A-
B-
C-
a3
b3
c3
ZigzagPhase-Shifting Transformer
(+15 deg)
A+
B+
C+
A-
B-
C-
a3
b3
c3
ZigzagPhase-Shifting Transformer
(+05 deg)v
+-
VcVbVa
g
A
B
C
+
-
g
A
B
C
+
-
g
A
B
C
+
-
g
A
B
C
+
-
g
A
B
C
+
-
g
A
B
C
+
-
In
Outcom1com2com3
In
Outcom1com2com3
In
Outcom1com2com3
In
Outcom1com2com3
In
Outcom1com2com3
In
Outcom1com2com3
+ + +
+
Scopei
+-
i+
-
75
Continuous
powergui
A+
B+
C+
A-
B-
C-
a3
b3
c3
ZigzagPhase-Shifting Transformer
(0 deg)
A+
B+
C+
A-
B-
C-
a3
b3
c3
ZigzagPhase-Shifting Transformer
(-7.5 deg)
A+
B+
C+
A-
B-
C-
a3
b3
c3
ZigzagPhase-Shifting Transformer
(-30 deg)
A+
B+
C+
A-
B-
C-
a3
b3
c3
ZigzagPhase-Shifting Transformer
(-22.5 deg)2
A+
B+
C+
A-
B-
C-
a3
b3
c3
ZigzagPhase-Shifting Transformer
(-15 deg)1
A+
B+
C+
A-
B-
C-
a3
b3
c3
ZigzagPhase-Shifting Transformer
(+7.5 deg)
A+
B+
C+
A-
B-
C-
a3
b3
c3
ZigzagPhase-Shifting Transformer
(+22.5 deg)
A+
B+
C+
A-
B-
C-
a3
b3
c3
ZigzagPhase-Shifting Transformer
(+15 deg)
v+-
VcVbVa
g
A
B
C
+
-
g
A
B
C
+
-
g
A
B
C
+
-
g
A
B
C
+
-
g
A
B
C
+
-
g
A
B
C
+
-
g
A
B
C
+
-
g
A
B
C
+
-
In
Outcom1com2com3
In
Outcom1com2com3
In
Outcom1com2com3
In
Outcom1com2com3
In
Outcom1com2com3
In
Outcom1com2com3
In
Outcom1com2com3
In
Outcom1com2com3
++ +
+
Scopei
+-
i+
-
75
International Journal on “Technical and Physical Problems of Engineering” (IJTPE), Iss. 18, Vol. 6, No. 1, Mar. 2014
217
A. Total Harmonic Distortion (THD) (Figure 34)
(a) six-pulse converter
(b) twelve-pulse converter
(c) eighteen-pulse converter
(d) twenty four-pulse converter
(e) thirty-pulse converter
(f) thirty six-pulse converter
(g) forty eight-pulse converter
Figure 34. Percentage THD for RL load, (a) six-pulse converter, (b)
twelve-pulse converter, (c) eighteen-pulse converter, (d) twenty four-
pulse converter, (e) thirty-pulse converter, (f) thirty six-pulse converter,
(g) forty eight-pulse converter
B. Percentage Ripple Content (Figure 35)
(a) six-pulse converter
(b) twelve-pulse converter
(c) eighteen-pulse converter
International Journal on “Technical and Physical Problems of Engineering” (IJTPE), Iss. 18, Vol. 6, No. 1, Mar. 2014
218
(d) twenty four-pulse converter
(e) thirty-pulse converter
(f) thirty six-pulse converter
(g) forty eight-pulse converter
Figure 35. Percentage ripple content for RL load, (a) six-pulse
converter, (b) twelve-pulse converter, (c) eighteen-pulse converter, (d)
twenty four-pulse converter, (e) thirty-pulse converter, (f) thirty six-
pulse converter, (g) forty eight-pulse converter
VII. CONCLUSIONS
The objective of the present work is to investigate the
performance of controlled and uncontrolled multi-pulse
converters. These converters are studied in terms of
harmonic spectrum of AC supply current, total harmonic
distortion, ripple content and form factor in the AC mains.
It is concluded therefore that in general with increase in
number of pulses in multi-pulse case the performance
parameters of these converters are remarkably improved.
All the data obtained after simulation of previously
mentioned models using MATLAB/Simulink has been
collected here to ease the comparison of factors accounted
for i.e. THD, ripple content between uncontrolled and
controlled multi-pulse converters. Therefore, we can
clearly infer that THD improves as the number of
converter pulses is increased and is in permissible limits
according to IEEE standards. The ripple in the input
current waveform decreases as the converter with higher
pulse number is being used and the high quality output DC
current wave is obtained.
REFERENCES
[1] L. Ray, L. Hapeshis, “Power System Harmonic
Fundamental Considerations”, Schneider Electric USA
Inc., p. 22, 2011.
[2] L. Weilin, “Design and Realization of Star Connected
Autotransformer Based 24-Pulse AC-DC Converter”,
International Conference on Power System Technology,
IEEE, 2010.
[3] P. Srivastava, K. Sanjiv, “Simulation of Multi-Pulse
AC-DC Converters for Medium Voltage ASD’s”, VSRD
International Journal of Electrical, Electronics &
Communications Engineering. Vol. 1, No. 10,
pp. 542-554, Dec. 2011.
[4] V. Nedic, T.A. Lipo, “Low-Cost Current-Fed PMSM
Drive System with Sinusoidal Input Currents”, IEEE
Transactions on Industry Applications, Vol. 42, No. 3,
pp. 753-762, May/June 2006.
[5] A.I. Maswood, A.K. Yusop, M.A. Rahman, “A Novel
Suppressed-Link Rectifier-Inverter Topology with Near
Unity Power Factor”, IEEE Transactions Power
Electronics, Vol. 17, No. 5, pp. 692-700, Sep. 2002.
[6] R. Naik, N. Mohan, M. Rogers, A. Bulawka, “A Novel
Grid Interface, Optimized for Utility-Scale Applications of
Photovoltaic, Wind-Electric, and Fuel-Cell Systems”,
IEEE Transactions on Power Delivery, Vol. 10, No. 4,
pp. 1920-1926, Oct. 1995.
[7] N. Mohan, “A Novel Approach to Minimize Line
Current Harmonics in Interfacing Renewable Energy
Sources with 3-Phase Utility Systems”, IEEE Conf.
APEC, pp. 852-858, Boston, MA, Feb. 1992.
[8] H.A. Pacheco, G. Jimenez, J. Arau, “Optimization
Method to Design Filters for Harmonic Current Reduction
in a Three Phase Rectifier”, IEEE Conf. CIEP,
pp. 138-144, Puebla, Mexico, Aug. 1994.
[9] S. Bhattacharya, D.M. Divan, B.B. Banerjee, “Control
and Reduction of Terminal Voltage Harmonic Distortion
(THD) in Hybrid Series Active and Parallel Passive Filter
System”, IEEE PESC, Seattle, WA, pp. 779-786, Jun.
1993.
[10] J. Ortega, M. Esteve, M. Payan, A. Gomez,
“Reference Current Computation Methods for Active
Power Filters - Accuracy Assessment in the Frequency
Domain”, IEEE Transactions on Power Electronics.,
Vol. 20, No. 2, pp. 446-456, Mar. 2005.
[11] B.S. Lee, “New Clean Power Reactor Systems for
Utility Interface of Static Converters”, Ph.D. Dissertation,
Texas A&M University, College Station, TX, Aug. 1998.
[12] M. Saxena , S. Gupta, “Simulation of Multi-Pulse
Converter for Harmonic Reduction Using Controlled
Rectifier”, International Journal of Science and Research
(IJSR), Issue 4, Vol. 2, No. 4, pp. 2319-7064, Apr. 2013.
[13] D. Singh, H. Mahala, P. Kaur, “Modeling and
Simulation of Multi-Pulse Converters for Harmonic
Reduction”, International Journal of Advanced Computer
Research, Issue 5,Vol. 2, No. 3, pp. 24-32, Sept. 2012.
International Journal on “Technical and Physical Problems of Engineering” (IJTPE), Iss. 18, Vol. 6, No. 1, Mar. 2014
219
BIOGRAPHIES
Naser Mahdavi Tabatabaei was
born in Tehran, Iran, 1967. He
received the B.Sc. and the M.Sc.
degrees from University of Tabriz
(Tabriz, Iran) and the Ph.D. degree
from Iran University of Science and
Technology (Tehran, Iran), all in
Power Electrical Engineering, in
1989, 1992, and 1997, respectively. Currently, he is a
Professor in International Organization of IOTPE. He is
also an academic member of Power Electrical Engineering
at Seraj Higher Education Institute (Tabriz, Iran) and
teaches power system analysis, power system operation,
and reactive power control. He is the General Secretary of
International Conference of ICTPE, Editor-in-Chief of
International Journal of IJTPE and Chairman of
International Enterprise of IETPE all supported by IOTPE.
He has authored and co-authored of six books and book
chapters in Electrical Engineering area in international
publishers and more than 130 papers in international
journals and conference proceedings. His research
interests are in the area of power quality, energy
management systems, ICT in power engineering and
virtual e-learning educational systems. He is a member of
the Iranian Association of Electrical and Electronic
Engineers (IAEEE).
Mohammad Abedi was born in
Ardabil, Iran, 1981. He received the
B.Sc. degree from Ardabil Branch,
Islamic Azad University, Ardabil,
Iran in 2004. Currently he is pursuing
the M.Sc. degree in the Electrical
Engineering Department, Seraj
Higher Education Institute, Tabriz,
Iran, all in Power Electrical Engineering.
Narges Sadat Boushehri was born in
Iran. She received her B.Sc. degree in
Control Engineering from Sharif
University of Technology (Tehran,
Iran), and Electronic Engineering
from Central Tehran Branch, Islamic
Azad University, (Tehran, Iran), in
1991 and 1996, respectively. She
received the M.Sc. degree in Electronic Engineering from
International Ecocenergy Academy (Baku, Azerbaijan), in
2009. She is the Member of Scientific and Executive
Committees of International Conference of ICTPE and
also the Scientific and Executive Secretary of International
Journal of IJTPE supported by International Organization
of IOTPE (www.iotpe.com). Her research interests are in
the area of power system control and artificial intelligent
algorithms.
Ali Jafari was born in Zanjan, Iran in
1988. He received the B.Sc. degree in
Electrical Engineering from Abhar
Branch, Islamic Azad University,
Abhar, Iran in 2011. He is currently
the M.Sc. student in Seraj Higher
Education Institute, Tabriz, Iran. He is
the Member of Scientific and
Executive Committees of International Conference of
ICTPE and also the Scientific and Executive Secretary of
International Journal of IJTPE supported by International
Organization of IOTPE (www.iotpe.com). His research
fields are intelligent algorithms application in power
systems, power system dynamics and control, power
system analysis and operation, and reactive power control.