a novel multilevel inverter

6
A Novel Multilevel Inverter With Reduced Count of Power Switches Mohd Wajahatullah Naseem Department of Electrical & Electronics Engineering Prof Ram Meghe College of Engineering & Management, Badnera-Amravati, India [email protected] Abstract-In this paper, a novel cascaded multilevel inverter topology is proposed for a single phase inverter. The inverter is composed of a series connection of the suggested basic unit and it generates only positive levels at its output. Hence an H-bridge is further added to the proposed basic unit. The proposed topology has the main advantage of reduction in the count of power switches and driver circuits required to drive them that helps to lower the cost and ultimately the overall installation space. The proposed structure also has less dc voltage sources and driver circuits, when it is compared to the other inverter topologies. At the output voltage, the final inverter structure is able to produce all the voltage levels (positive as well as negative). The simulation is performed for verifying the operation of the inverter for a three cascaded stages of the basic unit that generates 37-levels at its output. Keywords-Inverter; multilevel inverter; power switches; 37- levels; H-bridge; Cascaded inverter. 1. INTRODUCTION PRESENTL Y the multilevel inverters are becoming popular because of their numerous applications in high-power and high voltage application. In case of multilevel inverters, the preferred ouut voltage is produced by appropriate combination of several low voltage dc sources connected at the supply side. With the increase of the dc sources, the ouut voltage waveform befits to a pure sinusoidal waveform reducing the value of the total harmonic distortion (nID) and the overall power quality increases. Moreover multilevel inverters offers lower switching losses, good electromagnetic compatibility and high efficiency. Other than batteries, it is possible to connect the el cells and photovoltaic cells as an input to the multilevel inverters [1-6]. The multilevel inverters are classified into three categories; cascaded multilevel, flying capacitor (FC), neutral point clamped (NPC) [6-10]. In case of cascaded multilevel inverters, diodes and flying capacitors are not used. These inverters require less number of power switches to generate a particular level, making the control of the switches simple and reliable [1, 6, 11, 12]. As a result, reducing the total cost and losses of these inverters and increasing the efficiency [6, 13]. Thus the cascaded multilevel inverters have received more attention. These inverters are comprised of series connection of basic units, which consist of different array of power switches and dc voltage sources. In general, these inverters are classified into two main categories; asymmetric cascaded multilevel inverter having 978-1-4799-8371-1/15/$31.00 ©2015 IEEE 64 AmitMohod Department of Electrical & Electronics Engineering Prof Ram Meghe College of Engineering & Management, Badnera-Amravati, India amitmohodl @gmail.com different amplitude of the voltage sources and symmetric cascaded multilevel inverter having same magnitude of all the dc voltage sources which are connected at the input side. The main advantage offered by the asymmetric type of cascaded multilevel inverter is that, it is able to generate more number of ouuts level when compared to the symmetric one. This is because of the different amplitude of dc voltage sources that are connected at the input side. Because of this feature of the asymmetric cascaded multilevel inverter, the installation space and total cost decreases of the asymmetric one than the symmetric type of inverter [6, 12, 13]. Different multilevel topologies are proposed in the literature for reducing the total device count. In [6, 14-19], different topologies are introduced for the symmetric cascaded multilevel inverters. Because of the equal magnitude of the input dc voltage sources, the symmetric cascaded multilevel inverter suffers om the requirement of more number of power electronic switches, power diodes, and insulated gate bipolar transistors (lGBTs) and driver circuits. It is required to use the IGBTs in place of the power switches. So if the basic unit need bidirectional switch, in that case these drawbacks will be even more as two IGBTs are needed to be connected in anti-parallel fashion along with two anti-parallel diodes. Nevertheless the unidirectional and bidirectional switches conduct current in any direction. For increasing the number of levels, a number of asymmetric cascaded multilevel inverter topologies have been presented in [6, 13, 15, 20, 21]. The demand for the magnitude of dc voltage sources is high as the number of voltage levels is increased that is the major drawback of these inverters. A new basic unit is proposed in this paper for increasing the number of levels at the output voltage and reducing the count of the power electronic switches. More number of levels is achieved by connecting the proposed basic unit in a series connection to the several proposed basic unit and hence a new cascaded multilevel inverter is introduced which generates a single phase output voltage. The inverter is referred as advanced proposed multilevel inverter. The proposed basic unit generates only the positive levels at the ouut. For generating both positive as well as negative levels an H-bridge should be added to the series connection of the basic proposed unit. A new switching schemes is also suggested to generate more number of levels with the same basic proposed unit. A number of comparisons have been done between the

Upload: mahesh-aradhya

Post on 10-Apr-2016

42 views

Category:

Documents


1 download

DESCRIPTION

Abstract-In this paper, a novel cascaded multilevel invertertopology is proposed for a single phase inverter. The inverter iscomposed of a series connection of the suggested basic unit andit generates only positive levels at its output. Hence an H-bridgeis further added to the proposed basic unit. The proposedtopology has the main advantage of reduction in the count ofpower switches and driver circuits required to drive them thathelps to lower the cost and ultimately the overall installationspace. The proposed structure also has less dc voltage sourcesand driver circuits, when it is compared to the other invertertopologies. At the output voltage, the final inverter structure isable to produce all the voltage levels (positive as well asnegative). The simulation is performed for verifying theoperation of the inverter for a three cascaded stages of the basicunit that generates 37-levels at its output.

TRANSCRIPT

Page 1: A Novel Multilevel Inverter

A Novel Multilevel Inverter With Reduced Count of Power Switches

Mohd Wajahatullah Naseem Department of Electrical & Electronics Engineering

Prof Ram Meghe College of Engineering & Management, Badnera-Amravati, India [email protected]

Abstract-In this paper, a novel cascaded multilevel inverter

topology is proposed for a single phase inverter. The inverter is

composed of a series connection of the suggested basic unit and

it generates only positive levels at its output. Hence an H-bridge

is further added to the proposed basic unit. The proposed

topology has the main advantage of reduction in the count of

power switches and driver circuits required to drive them that

helps to lower the cost and ultimately the overall installation

space. The proposed structure also has less dc voltage sources

and driver circuits, when it is compared to the other inverter

topologies. At the output voltage, the final inverter structure is

able to produce all the voltage levels (positive as well as

negative). The simulation is performed for verifying the

operation of the inverter for a three cascaded stages of the basic

unit that generates 37-levels at its output.

Keywords-Inverter; multilevel inverter; power switches; 37-levels; H-bridge; Cascaded inverter.

1. INTRODUCTION

PRESENTL Y the multilevel inverters are becoming popular because of their numerous applications in high-power and high voltage application. In case of multilevel inverters, the preferred output voltage is produced by appropriate combination of several low voltage dc sources connected at the supply side. With the increase of the dc sources, the output voltage waveform befits to a pure sinusoidal waveform reducing the value of the total harmonic distortion (nID) and the overall power quality increases. Moreover multilevel inverters offers lower switching losses, good electromagnetic compatibility and high efficiency. Other than batteries, it is possible to connect the fuel cells and photovoltaic cells as an input to the multilevel inverters [1-6]. The multilevel inverters are classified into three categories; cascaded multilevel, flying capacitor (FC), neutral point clamped (NPC) [6-10]. In case of cascaded multilevel inverters, diodes and flying capacitors are not used. These inverters require less number of power switches to generate a particular level, making the control of the switches simple and reliable [1, 6, 11, 12]. As a result, reducing the total cost and losses of these inverters and increasing the efficiency [6, 13]. Thus the cascaded multilevel inverters have received more attention. These inverters are comprised of series connection of basic units, which consist of different array of power switches and dc voltage sources. In general, these inverters are classified into two main categories; asymmetric cascaded multilevel inverter having

978-1-4799-8371-1/15/$31.00 ©2015 IEEE 64

AmitMohod Department of Electrical & Electronics Engineering

Prof Ram Meghe College of Engineering & Management, Badnera-Amravati, India amitmohod l @gmail.com

different amplitude of the voltage sources and symmetric cascaded multilevel inverter having same magnitude of all the dc voltage sources which are connected at the input side. The main advantage offered by the asymmetric type of cascaded multilevel inverter is that, it is able to generate more number of outputs level when compared to the symmetric one. This is because of the different amplitude of dc voltage sources that are connected at the input side. Because of this feature of the asymmetric cascaded multilevel inverter, the installation space and total cost decreases of the asymmetric one than the symmetric type of inverter [6, 12, 13].

Different multilevel topologies are proposed in the literature for reducing the total device count. In [6, 14-19], different topologies are introduced for the symmetric cascaded multilevel inverters. Because of the equal magnitude of the input dc voltage sources, the symmetric cascaded multilevel inverter suffers from the requirement of more number of power electronic switches, power diodes, and insulated gate bipolar transistors (lGBTs) and driver circuits. It is required to use the IGBTs in place of the power switches. So if the basic unit need bidirectional switch, in that case these drawbacks will be even more as two IGBTs are needed to be connected in anti-parallel fashion along with two anti-parallel diodes. Nevertheless the unidirectional and bidirectional switches conduct current in any direction. For increasing the number of levels, a number of asymmetric cascaded multilevel inverter topologies have been presented in [6, 13, 15, 20, 21]. The demand for the magnitude of dc voltage sources is high as the number of voltage levels is increased that is the major drawback of these inverters.

A new basic unit is proposed in this paper for increasing the number of levels at the output voltage and reducing the count of the power electronic switches. More number of levels is achieved by connecting the proposed basic unit in a series connection to the several proposed basic unit and hence a new cascaded multilevel inverter is introduced which generates a single phase output voltage. The inverter is referred as advanced proposed multilevel inverter. The proposed basic unit generates only the positive levels at the output. For generating both positive as well as negative levels an H-bridge should be added to the series connection of the basic proposed unit. A new switching schemes is also suggested to generate more number of levels with the same basic proposed unit. A number of comparisons have been done between the

Page 2: A Novel Multilevel Inverter

introduced multilevel inverter and the conventional multilevel inverters. Finally, the functioning and the proper operation of the advanced multilevel inverter is reconfirmed by the simulation of a 37-level inverter that is based on the proposed basic unit.

II. PROPOSED TOPOLOGY

The proposed basic unit is as shown in Fig. 1. The

proposed basic unit consists of three power switches and two dc voltage sources. Isolated dc voltage sources are used which are supplied by the renewable sources such as, photovoltaic, fuel cell etc. To prevent the short circuit of dc voltage sources, the power switches (SI.S3), (S2.S3) and (SI.S2)

should not be turned on at the same time. The switching

scheme for the proposed basic unit is shown in Table I. It is clear from the Table I that the proposed basic unit is able to produce three different voltage levels at its output which are 0, Va and Va+Vb. It may also be note that the basic proposed

unit is only able to produce the positive voltages at its output.

For increasing the number of voltage levels at the output, the proposed basic unit is connected in series. The output voltage level of each of the basic unit is denoted by VOUlI, Voul2,

.... , Voutn. The level of the output voltage VOUI of the proposed cascaded multilevel inverter is given by the equation:

(1)

All the voltage levels that can be generated by the proposed cascaded multilevel inverter depending upon the on and off states of the power switches are shown in Table II. As aforementioned and also according to the Table II, the proposed inverter which is shown in Fig. 2 is able to produce only positive levels at the output of the cascaded series connection of the proposed basic unit. Hence, for generating both the positive as well as negative levels, an H-bridge is added at the output of the proposed topology with four switches TI to T4. This inverter is named as advanced cascaded multilevel inverter which is shown in Fig. 3. For

generating the positive voltage levels at the output of the proposed inverter, switches TI and T2 are turned on simultaneously and in this case the load voltage Vload will be

VB�

Fig. I. Proposed basic unit

/ .....

...

.... \

\ S3)

\"('��.:

\ ..

.. y,:.i

+ •

Vaut

TABLE I SWITCHING SCHEME FOR THE PROPOSED BASIC UNIT

Switches states state VOlit

S, S2 S3 I on off off 0

2 off off on Va 3 off on off Va+Vb

equal to the output voltage of the cascaded connection of the proposed basic units which is VOUI. For generating the negative

levels across the load, switches T3 and T4 are turned on

simultaneously making load voltage Vload equals to -VOUI.

For the proposed multilevel inverter structure, respectively, the number of power switches required (Ns) and the number of dc voltage sources (Nvs) required are given by the following equations:

Ns= 3n+4 Nvs = 2n (3)

(2)

where n is the number of series connected basic units. The number of power switches used in the proposed inverter is

Unit 1

Unit 2

................... ............................. .................... ..............................

+ t I I I I I I I VOIl/I I I I I , I I I I

i + it V2B\ : 1 ; I

f--J 11 S22 S23: 1 tJ21 • !VOU/2

V2A : 1 ; I i� .................................................... ,

Fig. 2. The proposed cascaded multilevel inverter topology

+ t

Vow

2015 International Conference on Power and Advanced Control Engineering (ICPACE) 65

Page 3: A Novel Multilevel Inverter

!+ i+

Vi~ II

r il SI2 S13! I Voutl

Unitt Sl1 ! I ! I ! I , I

VIA i I ............................. _ ................. .1-r·······_······· ························_·-1 t ! V2B~ il

UnY,I th, r&!i~

l __ :_Jl r-......... _....... ..·· .. _·· .. ···· .. ·· .. ·_··1 t ; Vn;r i I

1 r~2 sJ I Unit n! " ! I Vou," , ..,.1 , I

iii ! ! I

1 .................. -.-.. :.: ................... 1 !

+ +

Vout

Fig. 3. Advanced proposed cascaded inverter

TI

equal to the number ofIGBTs, power diodes, because of the unidirectional power switches. It may be also noted that, the other main factor in calculating the total cost of an inverter is the blocking voltage of switches. The overall cost of the inverter can be decreased by decreasing the value of blocking voltage ofthe power switches [12].

In the advanced inverter, the number of levels produced at the output of the inverter and maximum amplitude of voltage are based on the magnitude of the dc voltage sources

TABLE II

used at the input. In order to generate all the possible voltage levels at the output, the switching scheme is shown in Table II. The proposed multilevel inverter is considered as an asymmetric inverter as the magnitude of the dc voltage sources are different. By considering the equation of the highest voltage level that can be generated at the output when compared to the case of symmetric multilevel inverter, in which the amplitude of the dc sources are same, is less than the asymmetric one, in which the magnitude is different with the equal number of switches and the dc voltage sources.

In this paper, a new method is proposed to define the magnitudes of dc voltage sources in order to increase the maximum amplitude of generated voltage and number of produced levels at the output of the advanced multilevel inverter. The method to choose the magnitudes of dc voltage sources is as follows:

VnA = VnB = (2n-l)Vdc (4)

In this advanced cascaded multilevel inverter, the maximum number of voltage levels that can be generated at the output of the inverter is:

Nlevel =4 X (Li~l 2i-l) + 1 (5)

The highest voltage level that can be produced by the multilevel inverter at its output is given by

(6)

III. COMPARISON WITH THE OTHER PROPOSED TOPOLOGIES

The main reason to propose the advanced multilevel inverter is to decrease the count of power switches that are used in the cascaded multilevel inverter topologies. Hence, comparison is carried out with the other proposed topologies on the basis of number of IGBTs, dc voltage sources and driver circuits used. In [6], a new inverter has been presented which is considered as RQ here and four different algorithms are suggested for the same inverter which are considered as PI to P4. Fig. 4 shows the above mentioned inverter.

SWITCHING SCHEME OF THE SWITlCHES FOR THE DIFFERENT OUTPUT VOLTAGE LEVELS GENERATED AT THE OUTPUT

Vout Sl1 S12 S13 S21 S22 S23 S31 S32 S33 ... Sil Si2 Si3

0 on off off on off off on off off ... on off off

VIA off off on off off on off off on ... off off on

VIA+VIB off on off off on off off on off ... off on off

V2A on off off off off on on off off ... on off off VIA +V2A off off on off off on off off off ... on off off

V3A on off off on off off off off on ... on off off

VIA +V3A off off on on off off off off on ... on off off

VIA + VIB + V3A off on off on off off off off on ... on off off V2A+V3A on off off off off on off off on ... on off off

n

L (V;AH'iB) off on off on off off off on off off on off i=1

66 2015 International Conference on Power and Advanced Control Engineering (ICPACE)

Page 4: A Novel Multilevel Inverter

Fig. 4. Proposed inverter topology in [6]

Fig. 5 shows the comparison of the number of IGBTs used in the proposed topology with the topology mentioned in [6]. It is evident from the comparison that the proposed multilevel structure demands a smaller amount of IGBTs to produce more number of levels. Fig. 6 shows the comparison of the required number of driver circuits for generating the maximum levels at the output. In the proposed structure, the switch Tl and T2 requires the same driver circuit, same is the case for T3 and T4. Thus total requirement of the driver circuit is also smaller than the topology which is proposed in [6].

As the requirement of the number of power switches as well as the driver circuit is decreased and hence the overall

40

30

20 NIGHT

10

o o 30 40

Fig. 5. Comparison NIGHT versus Mewl

40

30

20 Proposed Ndriver

L-10

0 0 10 20 Nlevel 30 40

Fig. 6. Comparison Nd""" versus Mml

cost of the inverter can be decreased significantly that can be

used for different applications.

IV. SIMULATION RESULTS

The simulation results in MATLAB/Simulink is used to prove the correct operation of the proposed cascaded multilevel inverter topology in desired output voltage waveform generation. The simulation results for a 37-level advanced multilevel inverter is presented. Fig. 7 shows the

simulated cascaded multilevel inverter. The value of used dc voltage sources are VIA=VIB=]OV, V2A =V2B=30V and V3A=V3B=50V.

The MATLAB/Simulink model for this inverter is shown in Fig. 8. This inverter is able to generate 37 levels at

Unit I! s"

, +

:t lovT ! I

� � I r'2 SI3 1! vOUlI

! I : I ,I : I

IOV ! i 11 t .................... ............................ ; j .................. · .. ............................ ·I;

20vT ! I

Unit 2 ! S21

� 'I

r22 sii

20V

23: I 11Volt12 : I ,I : I ,I

j I ,I � I

t .................... ............................ J-

r;{ lH Umt 3 S r

32 S33i! Vo,,'" 31 : I

30V

, 1 , 1 . 1 � ! 1 1

+

t

VOIII

Fig. 7. 37 -level cascaded multilevel inverter

--:--+ lIoad

T;

2015 International Conference on Power and Advanced Control Engineering (ICPACE) 67

Page 5: A Novel Multilevel Inverter

Fig. 8. 37-level cascaded multilevel inverter

its output with a maximum voltage of 180 V and requires

Nsw=13 and Nvs=6 which is less when compared to [6]. Compared to the methods presented in [6], the proposed inverter is able to generate more number of levels with less number of switches. The load connected to the inverter is a R-L load with R= son and L=30mH

Fig. 9(a) shows the output voltage waveform of the proposed inverter topology. It is obvious from the figure that

this inverter produces only positive levels at its output. Hence it is required to add an H-bridge to make it able to generate all the voltage levels (positive and negative) at the output of the inverter. The maximum amplitude of output voltage is l80Vwhich is also shown in Fig. 9(a).

Fig. 9(b) and 9( c) shows the voltage and current waveforms, respectively. As shown in Fig. 9(b), the

advanced multilevel inverter structure is able to generate step waveform at its output with 37 levels and a maximum voltage of l80V. The current waveform shown in Fig. 9(c) is very

much closer to an ideal sinusoidal waveform because of the resistive-inductive load used, which acts as a low-pass filter. It is also clear that, there is some phase difference between

0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.06 0.09

FFTanalysis

0.7

0.6

19 0.5

� � 0.4

'00.3 .:. � 0.2

o. 1

FFTanalysil

Time!s] (c)

Fundamental (50Hz) = 179 1 THO= 2 57'/. . .

J 100 200 300 400 SOO 600 700 800 900 1000

Frequency (Hz)

(d)

Fundamental (50Hz) = 3.519, THO= 1.99%

100 200 300 400 SOO 600 700 800 900 1000 frequency (Hz)

(e)

O. I

Fig. 9. Simulation results; (a) output voltage wavefonn of the basic unit; (b) output voltage wavefonn of the 37-level cascaded multilevel inverter; (c) load current wavefonn with an RL load (R=50n and L=30mH) (d) Hannonic spectrum of the load voltage; (e) Hannonic spectrum of the load current.

the voltage and current waveform because of the inductive load used.

The harmonic spectrum of the output voltage waveform is as shown in Fig. 9(d), which shows a THD of 2.57% and harmonic spectrum for the load current waveform is shown

in Fig. 9(e), the THD value for this waveform is l.99%, which is very less and fosters better power quality.

V. CONCLUSION

In this paper, a new basic unit is proposed for cascaded multilevel inverter. A cascaded multilevel inverter is also proposed with the series connection of several basic units.

The proposed inverter is only able to generate the positive levels at its output. Therefore an additional H-bridge is

68 2015 International Conference on Power and Advanced Control Engineering (ICPACE)

Page 6: A Novel Multilevel Inverter

connected to the proposed multilevel inverter that makes it able to generate positive as well as negative voltage levels at its output. The inverter is called as advanced cascaded multilevel inverter. A new method is proposed to decide the magnitude of dc voltage sources. Then comparisons are done between the advanced cascaded multilevel inverter to the other inverter. On the basis of the comparison it is found that the advanced cascaded multilevel topology required lower number of IGBTs, driver circuits, dc voltage sources and power diodes than the topology proposed in [6]. For instance by using 16 number of IGBTs, the advanced cascaded multilevel inverter is able to generate 65 levels at its output, requires 14 number of driver circuits and 8 dc voltage

sources. On the other hand, the cascaded multilevel inverter proposed in [6] with the same number of IGBTs requires 14 driver circuits, 7 dc voltage sources and generates 15, 21, 19 and 27 levels, respectively, if the algorithm PI, P2, P3 and P4 is used.

REFERENCES

[1] E. Babaei, S. Alilu, and S. Laali, "A new general topology for cascaded multilevel inverters with reduced number of components based on developed H-bridge," Industrial Electronics. IEEE Transactions on, vol. 61, pp. 3932-3939, 2014.

[2] M. F. Kangarlu and E. Babaei, "A generalized cascaded multilevel inverter using series connection of submultilevel inverters," Power Electronics, IEEE Transactions on, vol. 28, pp. 625-636, 2013.

[3] 1.-H. Kim, S.-K. Sui, and P. N. Enjeti, "A carrier-based PWM method with optimal switching sequence for a multilevel four-leg voltage­source inverter," Industry Applications, IEEE Transactions on, vol. 44, pp. 1239-1248,2008.

[4] 6. LOpez, 1. Alvarez, 1. Doval-Gandoy, F. D. Freijedo, A. Nogueiras, A. Lago, et aI., "Comparison of the FPGA implementation of two multilevel space vector PWM algorithms," Industrial Electronics, IEEE Transactions on, vol. 55, pp. 1537-1547,2008.

[5] E. Babaei and S. S. Gowgani, "Hybrid Multilevel Inverter Using Switched Capacitor Units," Industrial Electronics, IEEE Transactions on, vol. 61, pp. 4614-4621, 2014.

[6] E. Babaei, S. Laali, and Z. Bayat, "A Single-Phase Cascaded Multilevel Inverter Based on a New Basic Unit With Reduced Number of Power Switches," Industrial Electronics, IEEE Transactions on, vol. 62,pp. 922-929,2015.

[7] A. A. Boora, A. Nami, F. Zare, A. Ghosh, and F. Blaabjerg, "Voltage­sharing converter to supply single-phase asymmetrical four-level diode-clamped inverter with high power factor loads," Power Electronics, IEEE Transactions on, vol. 25, pp. 2507-2520, 2010.

[8] 1. Rodriguez, S. Bernet, P. K. Steimer, and I. E. Lizama, "A survey on neutral-point-c1amped inverters," Industrial Electronics, IEEE Transactions on, vol. 57, pp. 2219-2230, 2010.

[9] E. Babaei, M. F. Kangarlu, M. Sabahi, and M. R. A. Pahlavani, "Cascaded multilevel inverter using sub-multilevel cells," Electric

Power Systems Research, vol. 96, pp. 101-110,2013.

[10] 1.-C. Wu, K.-D. Wu, H.-L. Jou, and S.-T. Xiao, "Diode-clamped multi­level power converter with a zero-sequence current loop for three­phase three-wire hybrid power filter," Electric Power Systems Research, vol. 81, pp. 263-270, 20 I I.

[11] N. Farokhnia, S. H. Fathi, N. Yousefpoor, and M. K. Bakhshizadeh, "Minimisation of total harmonic distortion in a cascaded multilevel

inverter by regulating voltages of dc sources," Power Electronics, lET, vol. 5, pp. 106-114,2012.

[12] I. Colak, E. Kabalci, and R. Bayindir, "Review of multilevel voltage source inverter topologies and control schemes," Energy Conversion and Management, vol. 52, pp. 1114-1128, 20 I I.

[13] E. Babaei and S. H. Hosseini, "Charge balance control methods for asymmetrical cascade multilevel converters," in Electrical Machines and Systems, 2007. ICEMS. International Conference on, 2007, pp. 74-79.

[14] Y. Hinago and H. Koizumi, "A single-phase multilevel inverter using switched series/parallel dc voltage sources," Industrial Electronics, IEEE Transactions on, vol. 57, pp. 2643-2650, 2010.

[15] M. D. Manjrekar and T. A. Lipo, "A hybrid multilevel inverter topology for drive applications," in Applied Power Electronics Conference and Exposition, 1998. APEC'98. Conference Proceedings 1998., Thirteenth Annual, 1998, pp. 523-529.

[16] M. F. Kangarlu, E. Babaei, and S. Laali, "Symmetric multilevel inverter with reduced components based on non-insulated dc voltage sources," Power Electronics, lET, vol. 5, pp. 571-581,2012.

[17] C. Won-kyun and K. Feel-soon, "H-bridge based multilevel inverter using PWM switching function," in Telecommunications Energy

Conference, 2009.1NTELEC 2009. 31st International, 2009, pp. 1-5.

[18] G. Waltrich and 1. Barbi, "Three-Phase Cascaded Multilevel Inverter Using Power Cells With Two Inverter Legs in Series," Industrial Electronics, IEEE Transactions on, vol. 57, pp. 2605-2612, 2010.

[19] E. Babaei and S. H. Hosseini, "New cascaded multilevel inverter topology with minimum number of switches," Energy Conversion and Management, vol. 50, pp. 2761-2767,11// 2009.

[20] E. Babaei, S. Hosseini, G. Gharehpetian, M. T. Haque, and M. Sabahi, "Reduction of dc voltage sources and switches in asymmetrical

multilevel converters using a novel topology," Electric Power Systems Research, vol. 77, pp. 1073-1085,2007.

[21] S. Laali, K. Abbaszadeh, and H. Lesani, "A new algorithm to detennine the magnitudes of dc voltage sources in asymmetric cascaded multilevel converters capable of using charge balance control methods," in Electrical Machines and Systems (ICEMS), 2010 International Conference on, 2010, pp. 56-61.

2015 International Conference on Power and Advanced Control Engineering (ICPACE) 69