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International Journal of Power Electronics and Drive System (IJPEDS)
Vol. 6, No. 2, June 2015, pp. 318~325
ISSN: 2088-8694  318
Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS
A New Multilevel Inverter Structure For High-Power
Applications using Multi-carrier PWM Switching Strategy
Rasoul Shalchi Alishah*, Seyyed Hossein Hosseini**
* Department of Electrical and Computer Engineering, Urmia University, Iran
** Department of Electrical Engineering, Tabriz University, Iran
Article Info ABSTRACT
Article history:
Received Aug 14, 2014
Revised Feb 6, 2015
Accepted Mar 10, 2015
In recent, several numbers of multilevel inverter structures have been
introduced that the numbers of circuit devices have been reduced. This paper
introduces a new structure for multilevel inverter which can be used in high-
power applications. The proposed topology is based on cascaded connection
of basic units. This topology consists of minimum number of circuit
components such as IGBT, gate driver circuit and antiparallel diode. For
proposed topology, two methods are presented for determination of dc
voltage sources values. Multi-carrier PWM method for 25-level proposed
topology is used. Verification of the analytical results is done using
MATLAB simulation.
Keyword:
Classical Multilevel structure
Multicarrier PWM
Multilevel Inverter
Total Harmonic Distortion
Copyright © 2015 Institute of Advanced Engineering and Science.
All rights reserved.
Corresponding Author:
Rasoul Shalchi Alishah,
Departement of Electrical and Computer Engineering,
Urmia University,
Iran.
Email: Rasoul.shalchi@gmail.com
1. INTRODUCTION
Multilevel inverters in comparison with two level converter can generate output voltage waveform
with lower value of the total harmonic distortions (THD) and the value of voltage stress on circuit devices is
low [1, 2]. Multilevel inverters are used in more applications such as Electric/Hybrid electric vehicles,
renewable energy sources, FACTS devices and so on [3-5]. In general, there are three kinds of conventional
multilevel inverter structures which have been named as follows:
 Diode-Clamped Multilevel Inverter [6].
 Flying-capacitors Multilevel Inverter [7].
 Cascade Multilevel Inverter [8].
The most important topology among classical multilevel inverters is cascade converter with
separated dc sources [9, 10]. Cascade inverter requires the least number of components when compared to
flying capacitor and diode clamped inverters. The cascaded inverter consists of a number of H-bridge inverter
units with separate dc source for each unit and it is connected in cascade or series [11, 12].
Cascade inverter is classified into two types which are called symmetric and asymmetric
configurations. The symmetric configuration uses the dc voltage sources with the same magnitudes. In the
asymmetric configuration, the values of the dc sources are non-equal. Asymmetric configuration can produce
many numbers of output voltage levels in comparison with symmetric configuration [13, 14]. The symmetric
configuration has the advantage of modularity that makes them simple to design and extend. But, the number
of power electronic switches increases.
Some applications need multilevel inverter topologies with capability of unidirectional power flow
such as photovoltaic systems or fuel cells. For this aim, a new unidirectional multilevel inverter topology has
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 2, June 2015 : 318 – 325
319
been proposed in [4]. The main disadvantage of this topology is that the switches of full-bridge inverter must
withstand the sum of the values of DC sources. It leads to the limitation in high-power applications.
Several modulation technique have been improved for multilevel inverters such as sinusoidal pulse
width modulation (SPWM), space vector modulation (SVM), selective harmonic elimination (SHE-PWM),
fundamental frequency switching and so on [15]-[19]. This paper focuses on multi-carrier-PWM modulation
strategy for trigger the power switches for controlling the voltage levels generated on the output.
This paper presents a new topology for multilevel inverter which needs minimum number of power
electronic elements.
2. PROPOSED TOPOLOGY
Figure 1 shows the basic unit structure for proposed multilevel inverter.
Figure 1. Basic unit structure for proposed multilevel inverter.
This basic unit can generate five levels at the output voltage (0, , ,2 , 2 )E E E E  . Table I shows the
switching states of proposed basic unit for generation five levels at the output voltage waveform.
Table I. Switching States of Proposed Basic Unit.
State
Switches Output
voltageS1 T1 T2 T3 T4
1 0 1 0 1 0 0
2 0 1 0 0 1 E
3 0 0 1 1 0 -E
4 1 1 0 0 1 2E
5 1 0 1 1 0 -2E
To produce an output voltage waveform with high quality and lower value of harmonic distortions,
the number of output voltage levels must be increased. Therefore, a cascade topology based on series
connection of basic units is proposed. Figure 2 shows the proposed cascade multilevel inverter. The output
voltage of the proposed cascade inverter is obtained by:
...
1 2
E E E Eo ono o
    (1)
The number of used IGBTs in proposed cascade structure is given by the following relationship:
5N n
IGBTs
 (2)
In this equation, N
IGBT
represents the number of used IGBTs. In this structure, the dc voltage
sources magnitudes of each basic unit are the same. For proposed cascade inverter two methods are presented
to generate all levels (odd and even) in the output voltage.
IJPEDS ISSN: 2088-8694 
A New Multilevel Inverter Structure For High-Power Applications using … (Rasoul Shalchi Alishah)
320
2.1. First Method
In this method, the values of dc sources are the same. In the other words, we have
...
1 2
E E En   (3)
Because the values of dc sources are the same, this topology is named symmetric topology. For this
method, the number of output voltage levels is calculated by the following equation:
4 1N n
level
  (4)
Figure 2. Proposed cascade multilevel inverter structure
Where n represents the number of basic units in the proposed cascade structure. From (2) and (4), we have
4
1
5
N N
IGBTlevel
  (5)
2.2. Second Method
In this method, the magnitudes of dc voltage sources are obtained by:
1
E E (6)
15 EmEm  2,3,m n  (7)
Using this method, the number of output voltage levels is calculated by:
5nN
level
 (8)
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 2, June 2015 : 318 – 325
321
Using (2) and (8), the relation between the number of output voltage levels and IGBTs will be:
55
N
IGBT
N
level
 (9)
In this method, the magnitudes of dc sources are non-equal. Hence, this method is named
asymmetric configuration. It is noticeable that Instead of dc voltage sources, we can use capacitors, fuel cells
and so on. The voltage stress of switches depends on the sum of all dc sources which connected to special
full-bridge inverter and their values are very low. Therefore, this topology can be used in high-power
applications. Figure 3 shows the structure of proposed multilevel inverter topology in [4]. As shown in this
figure, the switches of full-bridge inverter must withstand high-voltage. Then, this structure is not suitable for
high-power applications.
Figure 3. The structure of proposed multilevel inverter topology in [4]
3. MULTI-CARRIER PWM STRATEGY
The harmonics in the output voltage of power electronic converters can be reduced using PWM
switching techniques. The widely used multi-carrier PWM methods are known as Phase Shifted (PS), Phase
Disposition (PD), Phase Opposition Disposition (POD), Alternative Phase Opposite Disposition (APOD),
Hybrid (HD) and Phase Shift (PS). For this topology, phase opposite disposition (POD) multi-carrier PWM
method is utilized. POD technique employs a number of carriers (m-1) for an m-level phase waveform which
are all in-phase above and below the zero reference. The carriers are defined with the same frequency (Fc)
and amplitude (Ac) The amplitude of the modulator is denoted as (Am) and the frequency (Fm). In multilevel
converters, the amplitude modulation index (Ma), and the frequency ratio (Mf) are given by (10) and (11),
respectively:
 1
AmMa m Ac


(10)
FmM
f Fc
 (11)
The switching functions of proposed inverter are then given by the use of logical AND, OR, NOT gates.
IJPEDS ISSN: 2088-8694 
A New Multilevel Inverter Structure For High-Power Applications using … (Rasoul Shalchi Alishah)
322
4. SIMULATION REULTS
In order to validate the proposed inverter, computer simulation using MATLAB-Simulink has been
created. The simulation studies are carried out for 25-level asymmetric multilevel inverter. The total
harmonic distortion (THD) evaluates the quantity of harmonic contents in the output waveform and is a
popular performance index for power converters. The asymmetric multilevel inverter shown in Figure 3 is
adjusted to produce a 50-Hz, 25-level staircase waveform. The parameters selected for testing are (a) an
inductive load of 50mH (b) a resistive load of 50Ω. The values of voltage sources are 12.5
1
E V and
62.5
2
E V .
Figure 4. Proposed 25-level cascade inverter
Table II shows the switching states of proposed 25-level cascade inverter.
Table II. Switches states for 25-level cascade topology.
State
Switches State Output
Voltage(V)S11 S21 T11 T12 T13 T14 T21 T22 T23 T24
1 1 1 1 0 0 1 1 0 0 1 150
2 0 1 1 0 0 1 1 0 0 1 137. 5
3 0 1 1 1 0 0 1 0 0 1 125
……. …. …. …. …. …. …. …. …. …. …. ….
12 0 0 1 0 0 1 1 1 0 0 12.5
13 0 0 1 1 0 0 1 1 0 0 0
14 0 0 0 1 1 0 1 1 0 0 -12.5
…….. …. …. …. …. …. …. …. …. ….. ….. ….
23 0 1 1 1 0 0 0 1 1 0 -125
24 0 1 0 1 1 0 0 1 1 0 -137.5
25 1 1 0 1 1 0 0 1 1 0 -150
Figure 5 shows the carriers and the reference signals for a 25- level PWM using POD technique with 1Ma  ,
48M
f
 and carrier frequency 2400 Hz.
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 2, June 2015 : 318 – 325
323
Figure 5. The carriers and the reference signals for a 25- level converter using POD technique
The output voltage and current waveforms and their corresponding Fourier spectrums are shown in Figure 6.
THD values of this output voltage and current based on simulation results are %5.57 and %0. 83. To generate
a desired output with best quality of the waveform, the number of the voltage levels should be increased.
(a) (b)
(c) (d)
Figure 6. (a) Simulated output voltage of the first stage
(b) Simulated output voltage of the second stage
(c) Simulated output voltage and corresponding Fourier spectrum (THD=5.57%)
(d) Simulated output current and corresponding Fourier spectrum (THD=0.083%)
5. CONCLUSION
New symmetric, asymmetric cascade multilevel inverter topologies were proposed in this paper.
New algorithms for determination of dc voltage source magnitudes in the proposed cascade topology were
presented. This technique provides more voltage levels without increasing number of power electronic
components. Multi-carrier PWM method is applied to the new topology to trigger the power switches for
controlling the voltage levels generated on the output. It was shown that the presented topology can be used
in high-power applications. Through simulations it is seen that proposed multilevel converter topology
generates lower value of harmonic components of load voltage and current.
IJPEDS ISSN: 2088-8694 
A New Multilevel Inverter Structure For High-Power Applications using … (Rasoul Shalchi Alishah)
324
REFERENCES
[1] Madhav D, Manjrekar, et al, “Hybrid Multilevel Power Conversion System: A Competitive Solution for High-
Power Applications”, IEEE Trans Industrial Applications, pp. 834-841, 2000.
[2] R. Shalchi Alishah, D. Nazarpour, S.H. Hosseini, and M. Sabahi, “Design of new power electronic converter (PEC)
for photovoltaic systems and investigation of switches control technique”, In Proc. 28th Power System Conf.
(PSC), 2013, pp. 1-8.
[3] R. Shalchi Alishah, D. Nazarpour and S.H. Hosseini, “Design of new multilevel voltage source inverter structure
using fundamental frequency-switching strategy”, Transaction on electrical and electronic circuits and systems,
vol. 1, no. 1, pp. 1-7, Jan. 2013.
[4] R. Shalchi Alishah, D. Nazarpour, S.H. Hosseini, and M. Sabahi, “Design of New Single-phase Multilevel Voltage
Source Inverter”, International Journal of Power Electronics and Drive Systems (IJPEDS), vol. 4, no. 1B, pp. 45-
55, 2014.
[5] M. Klabunde, Y. Zhao and T.A. Lipo, “Current control of a 3 level rectifier/inverter drive system”, in Conf. Rec.
IEEE IAS Annu. Meeting, vol. 2, pp. 859–866, 1994.
[6] J. Ebrahimi, E. Babaei, G.B. Gharehpetian, “A New Multilevel Converter Topology With Reduced Number of
Power Electronic Components”, IEEE transaction on industrial electronics, vol. 59, no. 2, pp. 655-667, 2012.
[7] Zhong Du; Tolbert, L.M.; Chiasson, J.N.; Ozpineci, B., “A cascade multilevel inverter using a single DC source”,
in Proc. IEEE APEC’06, pp. 426 – 430, 2006.
[8] Rokan Ali Ahmed, S. Mekhilef, Hew Wooi Ping, “New multilevel inverter topology with reduced number of
Switches”, Proceedings of the 14th International Middle East Power Systems Conference (in Egypt), pp. 565-570,
2010.
[9] Rokan Ali Ahmed, S. Mekhilef, Hew Wooi Ping, “New multilevel inverter topology with minimum number of
switches”, TENCON IEEE, pp. 1862-1867, 2010.
[10] Shalchi Alishah, R., Nazarpour D., Hosseini, S. H., Sabahi M. , “Novel Topologies for Symmetric, Asymmetric and
Cascade Switched-Diode Multilevel Converter with Minimum Number of Power Electronic Components”, IEEE
Trans. Ind. Electron, vol. 61, no.10, pp. 5300 - 5310, 2014.
[11] Shalchi Alishah, R., Nazarpour D., Hosseini, S.H., Sabahi M.: ‘Switched-diode structure for multilevel converter
with reduced number of power electronic devices”, IET Power Electron, vol. 7, no. 3, pp. 648 – 656, 2014.
[12] Shalchi Alishah, R., Nazarpour D., Hosseini, S.H., Sabahi M.: ‘New hybrid structure for multilevel inverter with
fewer number of components for high-voltage levels”, IET Power Electron, vol. 7, no. 1, pp. 96–104, 2014.
[13] Y.S. Lai and F.S Shyu, “Topology for hybrid multilevel inverter”, IEE Proc. Electro. Power Appl., vol. 149, no.
6, pp. 449-458, 2002.
[14] C. Klumpner and F. Blaabjerg, “Using reverse blocking IGBTs in power converters for adjustable speed drives”,
IEEE Trans. Ind. Appl., vol. 42, no. 3, pp. 807–816, 2006.
[15] E. Babaei, “A Cascade Multilevel Converter Topology with Reduced Number of Switches”, IEEE transaction on
power electronics, vol. 23, no. 6, pp. 2657-2664, 2008.
[16] Park S.J., et al., “A New Single-Phase Five-Level PWM Inverter Employing a Deadbeat Control Scheme”, IEEE
Transactions on Power Electronics, pp. 831-843, 2003.
[17] M.G.H. Aghdam, S.H. Fathi, B. Gharehpetian, “Analysis of multicarrier PWM methods for asymmetric multilevel
inverter”, in Proc. 3rd IEEE Conference on Industrial Electronics and Applications, ICIEA’08, pp. 2057 - 2062,
2008.
[18] P.T. Josh, J. Jerome, A. Wilson, “The Comparative Analysis of Multi-Carrier Control Techniques for SPWM
Controlled Cascaded H-Bridge Multilevel Inverter”, proceeding of ICETECT, pp. 459-464, 2011.
[19] M.G. Hosseini Aghdam, S.H. Fathi, G.B. Gharehpetian, “Analysis of Multi-Carrier PWM Methods for Asymmetric
Multi-Level Inverter”, IEEE, pp. 2057-2062, 2008.
[20] Shalchi Alishah, R., Nazarpour D., Hosseini, S.H., Sabahi M., “Reduction of Power Electronic Elements in
Multilevel Converters Using a New Cascade Structure”, IEEE Trans. Ind. Electron, vol. 62, no.1, pp. 256 - 269,
2015.
BIOGRAPHIES OF AUTHORS
Rasoul Shalchi Alishah was born in Alishah, Iran, in 1989. He received the B.Sc. degree in
Power electrical engineering from the Azad University of Tabriz, Tabriz, Iran, in 2011and the
M.Sc. degree in power electrical engineering from Urmia University, Urmia, Iran, in 2013.
His current research interests include power electronic converters, multilevel converters, Z-
source and matrix converters, Application of Power Electronics in Renewable Energy Systems,
Harmonics and Power Quality. Since 2014, he has been a member of the Iran's National Elites
Foundation (INEF). He is the author of more than 20 journal and conference papers. Also, he is a
reviewer and Editorial Board member of several international journals.
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 2, June 2015 : 318 – 325
325
Seyed Hossein Hosseini was born in Marand, Iran, in 1953. He received the M.S. degree from
the Faculty of Engineering University of Tabriz, Iran in1976, the DEA degree from INPL,
France, in 1978 and the Ph.D. degree from INPL, France, in 1981 all in electrical engineering.
In 1982, he joined the University of Tabriz, Iran, as an Assistant Professor in the Department of
Electrical Engineer. From 1990 to 1995, he was an Associate Professor in the University of
Tabriz. Since 1995, hehas been Professor in the Department of ElectricalEngineer, University of
Tabriz. From Sept. 1990 to Sept. 1991, he was visiting professor in the University of
Queensland, Australia. From Sept. 1996 to Sept. In 1997, he was visiting professor in the
University of Western Ontario, Canada.
His research interests include Power Electronic Converters, Matrix Converters, Active&Hybrid
Filters, Application of Power Electronics in Renewable Energy Systems and Electrified Railway
Systems, Reactive Power Control, Harmonics and Power Quality Compensation Systems such as
SVC, UPQC, FACTSdevices.

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A New Multilevel Inverter Structure For High-Power Applications using Multi-carrier PWM Switching Strategy

  • 1. International Journal of Power Electronics and Drive System (IJPEDS) Vol. 6, No. 2, June 2015, pp. 318~325 ISSN: 2088-8694  318 Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS A New Multilevel Inverter Structure For High-Power Applications using Multi-carrier PWM Switching Strategy Rasoul Shalchi Alishah*, Seyyed Hossein Hosseini** * Department of Electrical and Computer Engineering, Urmia University, Iran ** Department of Electrical Engineering, Tabriz University, Iran Article Info ABSTRACT Article history: Received Aug 14, 2014 Revised Feb 6, 2015 Accepted Mar 10, 2015 In recent, several numbers of multilevel inverter structures have been introduced that the numbers of circuit devices have been reduced. This paper introduces a new structure for multilevel inverter which can be used in high- power applications. The proposed topology is based on cascaded connection of basic units. This topology consists of minimum number of circuit components such as IGBT, gate driver circuit and antiparallel diode. For proposed topology, two methods are presented for determination of dc voltage sources values. Multi-carrier PWM method for 25-level proposed topology is used. Verification of the analytical results is done using MATLAB simulation. Keyword: Classical Multilevel structure Multicarrier PWM Multilevel Inverter Total Harmonic Distortion Copyright © 2015 Institute of Advanced Engineering and Science. All rights reserved. Corresponding Author: Rasoul Shalchi Alishah, Departement of Electrical and Computer Engineering, Urmia University, Iran. Email: Rasoul.shalchi@gmail.com 1. INTRODUCTION Multilevel inverters in comparison with two level converter can generate output voltage waveform with lower value of the total harmonic distortions (THD) and the value of voltage stress on circuit devices is low [1, 2]. Multilevel inverters are used in more applications such as Electric/Hybrid electric vehicles, renewable energy sources, FACTS devices and so on [3-5]. In general, there are three kinds of conventional multilevel inverter structures which have been named as follows:  Diode-Clamped Multilevel Inverter [6].  Flying-capacitors Multilevel Inverter [7].  Cascade Multilevel Inverter [8]. The most important topology among classical multilevel inverters is cascade converter with separated dc sources [9, 10]. Cascade inverter requires the least number of components when compared to flying capacitor and diode clamped inverters. The cascaded inverter consists of a number of H-bridge inverter units with separate dc source for each unit and it is connected in cascade or series [11, 12]. Cascade inverter is classified into two types which are called symmetric and asymmetric configurations. The symmetric configuration uses the dc voltage sources with the same magnitudes. In the asymmetric configuration, the values of the dc sources are non-equal. Asymmetric configuration can produce many numbers of output voltage levels in comparison with symmetric configuration [13, 14]. The symmetric configuration has the advantage of modularity that makes them simple to design and extend. But, the number of power electronic switches increases. Some applications need multilevel inverter topologies with capability of unidirectional power flow such as photovoltaic systems or fuel cells. For this aim, a new unidirectional multilevel inverter topology has
  • 2.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 2, June 2015 : 318 – 325 319 been proposed in [4]. The main disadvantage of this topology is that the switches of full-bridge inverter must withstand the sum of the values of DC sources. It leads to the limitation in high-power applications. Several modulation technique have been improved for multilevel inverters such as sinusoidal pulse width modulation (SPWM), space vector modulation (SVM), selective harmonic elimination (SHE-PWM), fundamental frequency switching and so on [15]-[19]. This paper focuses on multi-carrier-PWM modulation strategy for trigger the power switches for controlling the voltage levels generated on the output. This paper presents a new topology for multilevel inverter which needs minimum number of power electronic elements. 2. PROPOSED TOPOLOGY Figure 1 shows the basic unit structure for proposed multilevel inverter. Figure 1. Basic unit structure for proposed multilevel inverter. This basic unit can generate five levels at the output voltage (0, , ,2 , 2 )E E E E  . Table I shows the switching states of proposed basic unit for generation five levels at the output voltage waveform. Table I. Switching States of Proposed Basic Unit. State Switches Output voltageS1 T1 T2 T3 T4 1 0 1 0 1 0 0 2 0 1 0 0 1 E 3 0 0 1 1 0 -E 4 1 1 0 0 1 2E 5 1 0 1 1 0 -2E To produce an output voltage waveform with high quality and lower value of harmonic distortions, the number of output voltage levels must be increased. Therefore, a cascade topology based on series connection of basic units is proposed. Figure 2 shows the proposed cascade multilevel inverter. The output voltage of the proposed cascade inverter is obtained by: ... 1 2 E E E Eo ono o     (1) The number of used IGBTs in proposed cascade structure is given by the following relationship: 5N n IGBTs  (2) In this equation, N IGBT represents the number of used IGBTs. In this structure, the dc voltage sources magnitudes of each basic unit are the same. For proposed cascade inverter two methods are presented to generate all levels (odd and even) in the output voltage.
  • 3. IJPEDS ISSN: 2088-8694  A New Multilevel Inverter Structure For High-Power Applications using … (Rasoul Shalchi Alishah) 320 2.1. First Method In this method, the values of dc sources are the same. In the other words, we have ... 1 2 E E En   (3) Because the values of dc sources are the same, this topology is named symmetric topology. For this method, the number of output voltage levels is calculated by the following equation: 4 1N n level   (4) Figure 2. Proposed cascade multilevel inverter structure Where n represents the number of basic units in the proposed cascade structure. From (2) and (4), we have 4 1 5 N N IGBTlevel   (5) 2.2. Second Method In this method, the magnitudes of dc voltage sources are obtained by: 1 E E (6) 15 EmEm  2,3,m n  (7) Using this method, the number of output voltage levels is calculated by: 5nN level  (8)
  • 4.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 2, June 2015 : 318 – 325 321 Using (2) and (8), the relation between the number of output voltage levels and IGBTs will be: 55 N IGBT N level  (9) In this method, the magnitudes of dc sources are non-equal. Hence, this method is named asymmetric configuration. It is noticeable that Instead of dc voltage sources, we can use capacitors, fuel cells and so on. The voltage stress of switches depends on the sum of all dc sources which connected to special full-bridge inverter and their values are very low. Therefore, this topology can be used in high-power applications. Figure 3 shows the structure of proposed multilevel inverter topology in [4]. As shown in this figure, the switches of full-bridge inverter must withstand high-voltage. Then, this structure is not suitable for high-power applications. Figure 3. The structure of proposed multilevel inverter topology in [4] 3. MULTI-CARRIER PWM STRATEGY The harmonics in the output voltage of power electronic converters can be reduced using PWM switching techniques. The widely used multi-carrier PWM methods are known as Phase Shifted (PS), Phase Disposition (PD), Phase Opposition Disposition (POD), Alternative Phase Opposite Disposition (APOD), Hybrid (HD) and Phase Shift (PS). For this topology, phase opposite disposition (POD) multi-carrier PWM method is utilized. POD technique employs a number of carriers (m-1) for an m-level phase waveform which are all in-phase above and below the zero reference. The carriers are defined with the same frequency (Fc) and amplitude (Ac) The amplitude of the modulator is denoted as (Am) and the frequency (Fm). In multilevel converters, the amplitude modulation index (Ma), and the frequency ratio (Mf) are given by (10) and (11), respectively:  1 AmMa m Ac   (10) FmM f Fc  (11) The switching functions of proposed inverter are then given by the use of logical AND, OR, NOT gates.
  • 5. IJPEDS ISSN: 2088-8694  A New Multilevel Inverter Structure For High-Power Applications using … (Rasoul Shalchi Alishah) 322 4. SIMULATION REULTS In order to validate the proposed inverter, computer simulation using MATLAB-Simulink has been created. The simulation studies are carried out for 25-level asymmetric multilevel inverter. The total harmonic distortion (THD) evaluates the quantity of harmonic contents in the output waveform and is a popular performance index for power converters. The asymmetric multilevel inverter shown in Figure 3 is adjusted to produce a 50-Hz, 25-level staircase waveform. The parameters selected for testing are (a) an inductive load of 50mH (b) a resistive load of 50Ω. The values of voltage sources are 12.5 1 E V and 62.5 2 E V . Figure 4. Proposed 25-level cascade inverter Table II shows the switching states of proposed 25-level cascade inverter. Table II. Switches states for 25-level cascade topology. State Switches State Output Voltage(V)S11 S21 T11 T12 T13 T14 T21 T22 T23 T24 1 1 1 1 0 0 1 1 0 0 1 150 2 0 1 1 0 0 1 1 0 0 1 137. 5 3 0 1 1 1 0 0 1 0 0 1 125 ……. …. …. …. …. …. …. …. …. …. …. …. 12 0 0 1 0 0 1 1 1 0 0 12.5 13 0 0 1 1 0 0 1 1 0 0 0 14 0 0 0 1 1 0 1 1 0 0 -12.5 …….. …. …. …. …. …. …. …. …. ….. ….. …. 23 0 1 1 1 0 0 0 1 1 0 -125 24 0 1 0 1 1 0 0 1 1 0 -137.5 25 1 1 0 1 1 0 0 1 1 0 -150 Figure 5 shows the carriers and the reference signals for a 25- level PWM using POD technique with 1Ma  , 48M f  and carrier frequency 2400 Hz.
  • 6.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 2, June 2015 : 318 – 325 323 Figure 5. The carriers and the reference signals for a 25- level converter using POD technique The output voltage and current waveforms and their corresponding Fourier spectrums are shown in Figure 6. THD values of this output voltage and current based on simulation results are %5.57 and %0. 83. To generate a desired output with best quality of the waveform, the number of the voltage levels should be increased. (a) (b) (c) (d) Figure 6. (a) Simulated output voltage of the first stage (b) Simulated output voltage of the second stage (c) Simulated output voltage and corresponding Fourier spectrum (THD=5.57%) (d) Simulated output current and corresponding Fourier spectrum (THD=0.083%) 5. CONCLUSION New symmetric, asymmetric cascade multilevel inverter topologies were proposed in this paper. New algorithms for determination of dc voltage source magnitudes in the proposed cascade topology were presented. This technique provides more voltage levels without increasing number of power electronic components. Multi-carrier PWM method is applied to the new topology to trigger the power switches for controlling the voltage levels generated on the output. It was shown that the presented topology can be used in high-power applications. Through simulations it is seen that proposed multilevel converter topology generates lower value of harmonic components of load voltage and current.
  • 7. IJPEDS ISSN: 2088-8694  A New Multilevel Inverter Structure For High-Power Applications using … (Rasoul Shalchi Alishah) 324 REFERENCES [1] Madhav D, Manjrekar, et al, “Hybrid Multilevel Power Conversion System: A Competitive Solution for High- Power Applications”, IEEE Trans Industrial Applications, pp. 834-841, 2000. [2] R. Shalchi Alishah, D. Nazarpour, S.H. Hosseini, and M. Sabahi, “Design of new power electronic converter (PEC) for photovoltaic systems and investigation of switches control technique”, In Proc. 28th Power System Conf. (PSC), 2013, pp. 1-8. [3] R. Shalchi Alishah, D. Nazarpour and S.H. Hosseini, “Design of new multilevel voltage source inverter structure using fundamental frequency-switching strategy”, Transaction on electrical and electronic circuits and systems, vol. 1, no. 1, pp. 1-7, Jan. 2013. [4] R. Shalchi Alishah, D. Nazarpour, S.H. Hosseini, and M. Sabahi, “Design of New Single-phase Multilevel Voltage Source Inverter”, International Journal of Power Electronics and Drive Systems (IJPEDS), vol. 4, no. 1B, pp. 45- 55, 2014. [5] M. Klabunde, Y. Zhao and T.A. Lipo, “Current control of a 3 level rectifier/inverter drive system”, in Conf. Rec. IEEE IAS Annu. Meeting, vol. 2, pp. 859–866, 1994. [6] J. Ebrahimi, E. Babaei, G.B. Gharehpetian, “A New Multilevel Converter Topology With Reduced Number of Power Electronic Components”, IEEE transaction on industrial electronics, vol. 59, no. 2, pp. 655-667, 2012. [7] Zhong Du; Tolbert, L.M.; Chiasson, J.N.; Ozpineci, B., “A cascade multilevel inverter using a single DC source”, in Proc. IEEE APEC’06, pp. 426 – 430, 2006. [8] Rokan Ali Ahmed, S. Mekhilef, Hew Wooi Ping, “New multilevel inverter topology with reduced number of Switches”, Proceedings of the 14th International Middle East Power Systems Conference (in Egypt), pp. 565-570, 2010. [9] Rokan Ali Ahmed, S. Mekhilef, Hew Wooi Ping, “New multilevel inverter topology with minimum number of switches”, TENCON IEEE, pp. 1862-1867, 2010. [10] Shalchi Alishah, R., Nazarpour D., Hosseini, S. H., Sabahi M. , “Novel Topologies for Symmetric, Asymmetric and Cascade Switched-Diode Multilevel Converter with Minimum Number of Power Electronic Components”, IEEE Trans. Ind. Electron, vol. 61, no.10, pp. 5300 - 5310, 2014. [11] Shalchi Alishah, R., Nazarpour D., Hosseini, S.H., Sabahi M.: ‘Switched-diode structure for multilevel converter with reduced number of power electronic devices”, IET Power Electron, vol. 7, no. 3, pp. 648 – 656, 2014. [12] Shalchi Alishah, R., Nazarpour D., Hosseini, S.H., Sabahi M.: ‘New hybrid structure for multilevel inverter with fewer number of components for high-voltage levels”, IET Power Electron, vol. 7, no. 1, pp. 96–104, 2014. [13] Y.S. Lai and F.S Shyu, “Topology for hybrid multilevel inverter”, IEE Proc. Electro. Power Appl., vol. 149, no. 6, pp. 449-458, 2002. [14] C. Klumpner and F. Blaabjerg, “Using reverse blocking IGBTs in power converters for adjustable speed drives”, IEEE Trans. Ind. Appl., vol. 42, no. 3, pp. 807–816, 2006. [15] E. Babaei, “A Cascade Multilevel Converter Topology with Reduced Number of Switches”, IEEE transaction on power electronics, vol. 23, no. 6, pp. 2657-2664, 2008. [16] Park S.J., et al., “A New Single-Phase Five-Level PWM Inverter Employing a Deadbeat Control Scheme”, IEEE Transactions on Power Electronics, pp. 831-843, 2003. [17] M.G.H. Aghdam, S.H. Fathi, B. Gharehpetian, “Analysis of multicarrier PWM methods for asymmetric multilevel inverter”, in Proc. 3rd IEEE Conference on Industrial Electronics and Applications, ICIEA’08, pp. 2057 - 2062, 2008. [18] P.T. Josh, J. Jerome, A. Wilson, “The Comparative Analysis of Multi-Carrier Control Techniques for SPWM Controlled Cascaded H-Bridge Multilevel Inverter”, proceeding of ICETECT, pp. 459-464, 2011. [19] M.G. Hosseini Aghdam, S.H. Fathi, G.B. Gharehpetian, “Analysis of Multi-Carrier PWM Methods for Asymmetric Multi-Level Inverter”, IEEE, pp. 2057-2062, 2008. [20] Shalchi Alishah, R., Nazarpour D., Hosseini, S.H., Sabahi M., “Reduction of Power Electronic Elements in Multilevel Converters Using a New Cascade Structure”, IEEE Trans. Ind. Electron, vol. 62, no.1, pp. 256 - 269, 2015. BIOGRAPHIES OF AUTHORS Rasoul Shalchi Alishah was born in Alishah, Iran, in 1989. He received the B.Sc. degree in Power electrical engineering from the Azad University of Tabriz, Tabriz, Iran, in 2011and the M.Sc. degree in power electrical engineering from Urmia University, Urmia, Iran, in 2013. His current research interests include power electronic converters, multilevel converters, Z- source and matrix converters, Application of Power Electronics in Renewable Energy Systems, Harmonics and Power Quality. Since 2014, he has been a member of the Iran's National Elites Foundation (INEF). He is the author of more than 20 journal and conference papers. Also, he is a reviewer and Editorial Board member of several international journals.
  • 8.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 2, June 2015 : 318 – 325 325 Seyed Hossein Hosseini was born in Marand, Iran, in 1953. He received the M.S. degree from the Faculty of Engineering University of Tabriz, Iran in1976, the DEA degree from INPL, France, in 1978 and the Ph.D. degree from INPL, France, in 1981 all in electrical engineering. In 1982, he joined the University of Tabriz, Iran, as an Assistant Professor in the Department of Electrical Engineer. From 1990 to 1995, he was an Associate Professor in the University of Tabriz. Since 1995, hehas been Professor in the Department of ElectricalEngineer, University of Tabriz. From Sept. 1990 to Sept. 1991, he was visiting professor in the University of Queensland, Australia. From Sept. 1996 to Sept. In 1997, he was visiting professor in the University of Western Ontario, Canada. His research interests include Power Electronic Converters, Matrix Converters, Active&Hybrid Filters, Application of Power Electronics in Renewable Energy Systems and Electrified Railway Systems, Reactive Power Control, Harmonics and Power Quality Compensation Systems such as SVC, UPQC, FACTSdevices.