![International Journal of Power Electronics and Drive System (IJPEDS)
Vol. 9, No. 2, June 2018, pp. 921~925
ISSN: 2088-8694, DOI: 10.11591/ijpeds.v9.i2.pp921-925 921
Journal homepage: http://iaescore.com/journals/index.php/IJPEDS
A New Seven Level Symmetrical Inverter with Reduced Switch
Count
Thiyagarajan V1
, Somasundaram P 2
1
Departement of EEE, SSN College of Engineering, Kalavakkam, Chennai, India
2
Departement of EEE, CEG, Anna University, Chennai, India
Article Info ABSTRACT
Article history:
Received Dec 21, 2017
Revised Jan 22, 2018
Accepted Feb 7, 2018
Multilevel inverters offers less distortion and less electro-magnetic
interference compared with other conventional inverters and hence, it can be
used in many industrial and commercial applications. This paper analyze the
performance of the modified single phase seven level symmetrical inverter
using minimum number of switches. The proposed topology consists of six
switches and two dc sources, and produces seven level output voltage
waveform during symmetric operation. The cost and size of the propsoed
inverter minimum as it uses minimum number of components, The
performance of the proposed multilevel inverter is analysed for different
switching angles and the corresponding simulation results are presented. The
simulation of the proposed inverter is carried out using MATLAB/Simulink
software.
Keyword:
Asymmetric
Inverter
Multilevel
Symmetric
THD Copyright © 2018 Institute of Advanced Engineering and Science.
All rights reserved.
Corresponding Author:
Thiyagarajan V,
Departement of Electrical and Electronics Engineering,
SSN College of Engineering,
OMR, Kalavakkam, Chennai, Tamilnadu, , India.
Email: thiyagarajanv@ssn.edu.in
1. INTRODUCTION
Multilevel inverters plays an incredible role in modern power electronics [1]. Generally, the dc
sources used in the multilevel inverter includes photovoltaic, capacitors and batteries [2]. They are classified
into two groups such as symmetric inverter, where the all sources have same magnitude and asymmetric
inverter, where the voltage sources have different magnitude [3]. The various advantages of multilevel
inverters over conventional two level inverter includes low distortion, minimum switching losses high power
quality, minimum peak inverse voltage (PIV) and low dv/dt stress [4-5]. However, it requires greater amount
of power electronic components and gate driver circuits to achieve higher output levels [6]. The most popular
commercial topologies of multilevel inverters includes neutral point clamped, flying capacitor and cascaded
H-bridge inverters [7-9]. The CHB inverter is more modular and can be easily expandable for greater number
of steps in the output voltage. It requires less switching components as compared with other inverters to
achieve same levels of output. The number of level in the output voltage waveform can be increased simply
by adding the required number of different dc sources [10]. Nowadays, many researchers have proposed new
inverter topology with modified control techniques to improve their performance.
This paper presents a new symmetric type inverter with reduction in switch count. It consists of
three voltage sources and six switches which generate seven level output waveform during symmetric
operation. Different modes of operation of the inverter is explained in Section II. Different methods of
calculating the switching angles are presented in Section III. The simulation results are discussed in Section
IV. The conclusion was given in Section V.](https://image.slidesharecdn.com/5012635editatika-210614024418/85/A-New-Seven-Level-Symmetrical-Inverter-with-Reduced-Switch-Count-1-320.jpg)
![ ISSN: 2088-8694
Int J Pow Elec & Dri Syst, Vol. 9, No. 2, June 2018 : 921 – 925
922
2. PROPOSED INVERTER TOPOLOGY
The schematic diagram of the proposed inverter circuit is shown in Figure 1. It can produce 7-level
output voltage during symmetrical case of operation. In the proposed inverter, the magnitude of the sources is
same and hence the name "symmetry".
Figure 1. Proposed Multilevel Inverter
The different operating levels of the presented inverter topology is shown in Figure 2. In level - 0,
zero voltage is obtained with the switches S2 and S3 or S4 and S6 are ON and the other switches are OFF. The
positive level -1 voltage is obtained with the ON state switches are S1 and S3 and other switches were OFF.
The positive level-2 voltage V1+V2 is obtained with the switches S3 and S5 ON. During the positive level - 3,
the switches S3 and S6 are ON and the voltage V1+V2+V3 is obtained across the load. During the negative
level - 1, the voltage -V3 is obtained across the load. During this level, the switches S4 and S5 are ON. During
the negative level - 2, the voltage -(V3+V2) is obtained with the switches S1 and S4 ON. During the negative
level - 3, the voltage -(V1+V2+V3) is obtained across the load with the switches S2 and S4 ON. The
comparison for different topologies of multilevel inverter are given in Table 1.
(a) (b) (c) (d)
(e) (f) (g) (h)
Figure 2. Operating Modes (a) Positive Level 0 (b) Negative Level 0 (c) Positive Level 1 (d) Positive Level
2 (e) Positive Level 3 (f) Negative Level 1 (g) Negative Level 2 and (h) Negative Level 3
Table 1. Comparison of Different Multilevel Inverter Topologies
Inverter
Number of
Sources
(Ndc)
Number of
Switches
(NS)
Number
of level
(N)
Ratio
(Ndc / N)
Ratio
(NS / N)
Cascaded 3 12 7 0.4286 1.7143
Ref. [11], [12] 3 8 7 0.4286 1.1428
Ref. [13] 3 10 7 0.4286 1.4286
Ref. [14] 3 16 7 0.4286 2.857
Ref. [15] 3 9 7 0.4286 1.2857
Ref. [16] 3 7 7 0.4286 1
Proposed 3 6 7 0.4286 0.8571](https://image.slidesharecdn.com/5012635editatika-210614024418/85/A-New-Seven-Level-Symmetrical-Inverter-with-Reduced-Switch-Count-2-320.jpg)
![Int J Pow Elec & Dri Syst ISSN: 2088-8694
A New Seven Level Symmetrical Inverter with Reduced Switch Count (Thiyagarajan V)
923
For the proposed inverter, the ratio of the number of sources to the level is 0.4286 which is equal to
CHB and other presented inverter topologies. However the ratio of the number of switches to output level is
0.8571 which is less than that of other inverter topologies Therefore, it is clear that this inverter topology uses
minimum amount of switches to achieve 7-level voltage waveform.
3. SWITCHING ANGLE CALCULATION
The angles corresponding to the period 0 to 90o
are called as main switching angles and are
calculated using the following different methods [17-19].
Method – 1
The averagely distributed switching angles over the range 0–90o
are determined by,
2
1
-
N
3...,
2,
1,
where,
1800
i
N
i
i
Method - 2
Here, the key switching angles are determined by,
2
1
-
N
3...,
2,
1,
where,
1
1800
i
N
i
i
Method - 3
In this method, the main angles are determined by,
2
1
-
N
....
3
2,
1,
where,
1
1
2
sin 1
i
N
i
i
where, N = Number of output levels.
This method gives better output voltage waveform compared with other methods. The
switching pulses obtained using the different methods are shown in Figure 3. The different switching
states are given in Table 2.
(a) (b)
(c)
Figure 3. Switching Pulses (a) Method - 1 (b) Method - 2 and (c) Method - 3](https://image.slidesharecdn.com/5012635editatika-210614024418/85/A-New-Seven-Level-Symmetrical-Inverter-with-Reduced-Switch-Count-3-320.jpg)
![Int J Pow Elec & Dri Syst ISSN: 2088-8694
A New Seven Level Symmetrical Inverter with Reduced Switch Count (Thiyagarajan V)
925
The simulation result shows that the harmonic content for the switching method - 3 is less
when compared with the method-1 and method -2. The results are given in Table 3.
Table 3. Comparison of Total Harmonic Distortion
Method THD (%)
Method - 1 31.35
Method - 2 25.46
Method - 3 12.20
5. CONCLUSION
This article proposed a new symmetric 7-level inverter topology. This inverter uses three
sources to achieve 7-level output voltage. The proposed inverter circuit can be cnnected in series to
generate higher levels. The different methods used to calculate the switching angles are discussed in
this paper. The simulation result shows that the switching angles obtained by method - 3 achieves
minimum THD as 12.2% compared with other methods.
ACKNOWLEDGEMENTS
This research work was supported and funded by SSN Trust.
REFERENCES
[1] R. H. Baker and L. H. Bannister, "Electric Power Converter," U.S. Patent 3 867 643, Feb. 1975.
[2] J. S. Lai and F. Z. Peng, "Multilevel converters-a new breed of power converters," in IEEE Transactions on Industry
Applications, vol. 32, no. 3, pp. 509-517, 1996.
[3] V. Thiyagarajan and P. Somasundaram , “Modified Nine Level Inverter with Reduced Number of Switches”,
International Journal of Control Theory and Applications, Vol.10, No. 2 (2017), PP 217-225.
[4] J. Rodriguez, S. Bernet, J. Pontt, B.Wu and S. Kouro, ‘Multilevel voltage source converter topologies for industrial
medium voltage drives’, IEEE Transactions Industrial Electronics, 54(6), 2930-2945, 2007.
[5] L. M. Tolbert, F. Z. Peng, T. G. Habetler, “Multilevel converters for large electric drives,” IEEE Transactions on
Industry Applications, vol. 35, no. 1, pp. 36-44, 1999.
[6] J. Rodriguez, J. S. Lai and F. Z. Peng, "Multilevel inverter: a survey of topologies,controls, and applications", IEEE
Trans. Ind. Electron., 2002, 49, (4), pp. 724–738.
[7] A. Nabae, I. Takahashi and H. Akagi, "A New Neutral-Point-Clamped PWM Inverter", IEEE Transactions on
Industry Applications, IA-17, 518-523, 1981.
[8] J. Huang, K. A Corzine, “Extended operation of flying capacitor multilevel inverters”,, IEEE Transactions on Power
Electronics, vol. 21, no. 1, pp. 140-147, January 2006.
[9] Z. Du, L. M. Tolbert, B. Ozpineci, J. N. Chiasson, "Fundamental frequency switching strategies of a seven-level
hybrid cascaded H-bridge multilevel inverter", IEEE Trans. Power Electron., 2009, 24, (1), pp. 25–33
[10] Banaei, M.R., Salary, E., ‘New multilevel inverter with reduction of switches and gate driver’, Energy Convers.
Manage., 2011, 52, pp. 1129–1136.
[11] E. Babaei, M.F.Kangarlu, F. Mazgar, "Symmetric and asymmetric multilevel inverter topologies with reduced
switching devices", Electric Power Systems Research, Volume 86, May 2012, Pages 122–130
[12] K. Ramani, M.A. Sathik, S Sivakumar, " A New Symmetric Multilevel Inverter Topology Using Single and Double
Source Sub-Multilevel Inverters" , Journal of Power Electronics, Volume 15, Issue 1, 2015, pp.96-105.
[13] M. Toupchi Khosroshahi, "Crisscross cascade multilevel inverter with reduction in number of components," in IET
Power Electronics, vol. 7, no. 12, pp. 2914-2924, 12 2014.
[14] E. Babaei, S.H. Hosseini, G.B. Gharehpetian, M. Tarafdar Haque, M. Sabahi, "Reduction of dc voltage sources and
switches in asymmetrical multilevel converters using a novel topology", Electric Power Systems Research 77 (2007)
1073–1085.
[15] M. Jayabalan, B. Jeevarathinam and T. Sandirasegarane, "Reduced switch count pulse width modulated multilevel
inverter," in IET Power Electronics, vol. 10, no. 1, pp. 10-17, 2017.
[16] V. Thiyagarajan and P. Somasundaram, "Modified Seven Level Symmetric Inverter with Reduced Switch Count",
Advances in Natural and Applied Sciences, vol. 1, no. 7, pp. 264-271, 2017.
[17] V. Thiyagarajan and P. Somasundaram, " Modeling and Analysis of Novel Multilevel Inverter Topology with
Minimum Number of Switching Components," CMES: Computer Modeling in Engineering & Sciences, Vol.
113,No. 4, pp. 461-473, 2017.
[18] V. Thiyagarajan and P. Somasundaram, "New single phase asymmetric multilevel inverter with reduced number of
power switches," 2017 International Conference on Power and Embedded Drive Control (ICPEDC), Chennai, 2017,
pp. 219-222.
[19] F. L. Luo and H. Ye, Advanced DC/AC Inverters,CRC Press LLC, 2013.](https://image.slidesharecdn.com/5012635editatika-210614024418/85/A-New-Seven-Level-Symmetrical-Inverter-with-Reduced-Switch-Count-5-320.jpg)
A New Seven Level Symmetrical Inverter with Reduced Switch Count
- 1. International Journal of Power Electronics and Drive System (IJPEDS) Vol. 9, No. 2, June 2018, pp. 921~925 ISSN: 2088-8694, DOI: 10.11591/ijpeds.v9.i2.pp921-925 921 Journal homepage: http://iaescore.com/journals/index.php/IJPEDS A New Seven Level Symmetrical Inverter with Reduced Switch Count Thiyagarajan V1 , Somasundaram P 2 1 Departement of EEE, SSN College of Engineering, Kalavakkam, Chennai, India 2 Departement of EEE, CEG, Anna University, Chennai, India Article Info ABSTRACT Article history: Received Dec 21, 2017 Revised Jan 22, 2018 Accepted Feb 7, 2018 Multilevel inverters offers less distortion and less electro-magnetic interference compared with other conventional inverters and hence, it can be used in many industrial and commercial applications. This paper analyze the performance of the modified single phase seven level symmetrical inverter using minimum number of switches. The proposed topology consists of six switches and two dc sources, and produces seven level output voltage waveform during symmetric operation. The cost and size of the propsoed inverter minimum as it uses minimum number of components, The performance of the proposed multilevel inverter is analysed for different switching angles and the corresponding simulation results are presented. The simulation of the proposed inverter is carried out using MATLAB/Simulink software. Keyword: Asymmetric Inverter Multilevel Symmetric THD Copyright © 2018 Institute of Advanced Engineering and Science. All rights reserved. Corresponding Author: Thiyagarajan V, Departement of Electrical and Electronics Engineering, SSN College of Engineering, OMR, Kalavakkam, Chennai, Tamilnadu, , India. Email: thiyagarajanv@ssn.edu.in 1. INTRODUCTION Multilevel inverters plays an incredible role in modern power electronics [1]. Generally, the dc sources used in the multilevel inverter includes photovoltaic, capacitors and batteries [2]. They are classified into two groups such as symmetric inverter, where the all sources have same magnitude and asymmetric inverter, where the voltage sources have different magnitude [3]. The various advantages of multilevel inverters over conventional two level inverter includes low distortion, minimum switching losses high power quality, minimum peak inverse voltage (PIV) and low dv/dt stress [4-5]. However, it requires greater amount of power electronic components and gate driver circuits to achieve higher output levels [6]. The most popular commercial topologies of multilevel inverters includes neutral point clamped, flying capacitor and cascaded H-bridge inverters [7-9]. The CHB inverter is more modular and can be easily expandable for greater number of steps in the output voltage. It requires less switching components as compared with other inverters to achieve same levels of output. The number of level in the output voltage waveform can be increased simply by adding the required number of different dc sources [10]. Nowadays, many researchers have proposed new inverter topology with modified control techniques to improve their performance. This paper presents a new symmetric type inverter with reduction in switch count. It consists of three voltage sources and six switches which generate seven level output waveform during symmetric operation. Different modes of operation of the inverter is explained in Section II. Different methods of calculating the switching angles are presented in Section III. The simulation results are discussed in Section IV. The conclusion was given in Section V.
- 2. ISSN: 2088-8694 Int J Pow Elec & Dri Syst, Vol. 9, No. 2, June 2018 : 921 – 925 922 2. PROPOSED INVERTER TOPOLOGY The schematic diagram of the proposed inverter circuit is shown in Figure 1. It can produce 7-level output voltage during symmetrical case of operation. In the proposed inverter, the magnitude of the sources is same and hence the name "symmetry". Figure 1. Proposed Multilevel Inverter The different operating levels of the presented inverter topology is shown in Figure 2. In level - 0, zero voltage is obtained with the switches S2 and S3 or S4 and S6 are ON and the other switches are OFF. The positive level -1 voltage is obtained with the ON state switches are S1 and S3 and other switches were OFF. The positive level-2 voltage V1+V2 is obtained with the switches S3 and S5 ON. During the positive level - 3, the switches S3 and S6 are ON and the voltage V1+V2+V3 is obtained across the load. During the negative level - 1, the voltage -V3 is obtained across the load. During this level, the switches S4 and S5 are ON. During the negative level - 2, the voltage -(V3+V2) is obtained with the switches S1 and S4 ON. During the negative level - 3, the voltage -(V1+V2+V3) is obtained across the load with the switches S2 and S4 ON. The comparison for different topologies of multilevel inverter are given in Table 1. (a) (b) (c) (d) (e) (f) (g) (h) Figure 2. Operating Modes (a) Positive Level 0 (b) Negative Level 0 (c) Positive Level 1 (d) Positive Level 2 (e) Positive Level 3 (f) Negative Level 1 (g) Negative Level 2 and (h) Negative Level 3 Table 1. Comparison of Different Multilevel Inverter Topologies Inverter Number of Sources (Ndc) Number of Switches (NS) Number of level (N) Ratio (Ndc / N) Ratio (NS / N) Cascaded 3 12 7 0.4286 1.7143 Ref. [11], [12] 3 8 7 0.4286 1.1428 Ref. [13] 3 10 7 0.4286 1.4286 Ref. [14] 3 16 7 0.4286 2.857 Ref. [15] 3 9 7 0.4286 1.2857 Ref. [16] 3 7 7 0.4286 1 Proposed 3 6 7 0.4286 0.8571
- 3. Int J Pow Elec & Dri Syst ISSN: 2088-8694 A New Seven Level Symmetrical Inverter with Reduced Switch Count (Thiyagarajan V) 923 For the proposed inverter, the ratio of the number of sources to the level is 0.4286 which is equal to CHB and other presented inverter topologies. However the ratio of the number of switches to output level is 0.8571 which is less than that of other inverter topologies Therefore, it is clear that this inverter topology uses minimum amount of switches to achieve 7-level voltage waveform. 3. SWITCHING ANGLE CALCULATION The angles corresponding to the period 0 to 90o are called as main switching angles and are calculated using the following different methods [17-19]. Method – 1 The averagely distributed switching angles over the range 0–90o are determined by, 2 1 - N 3..., 2, 1, where, 1800 i N i i Method - 2 Here, the key switching angles are determined by, 2 1 - N 3..., 2, 1, where, 1 1800 i N i i Method - 3 In this method, the main angles are determined by, 2 1 - N .... 3 2, 1, where, 1 1 2 sin 1 i N i i where, N = Number of output levels. This method gives better output voltage waveform compared with other methods. The switching pulses obtained using the different methods are shown in Figure 3. The different switching states are given in Table 2. (a) (b) (c) Figure 3. Switching Pulses (a) Method - 1 (b) Method - 2 and (c) Method - 3
- 4. ISSN: 2088-8694 Int J Pow Elec & Dri Syst, Vol. 9, No. 2, June 2018 : 921 – 925 924 Table 2. Switching States For Different Modes of Operation Mode S 1 S 2 S 3 S 4 S 5 S 6 Output Positive Level-0 0 1 1 0 0 0 0 Positive Level-1 1 0 1 0 0 0 V1 Positive Level-2 0 0 1 0 1 0 V1 +V2 Positive Level-3 0 0 1 0 0 1 V1 +V2+V3 Negative Level-0 0 0 0 1 0 1 0 Negative Level-1 0 0 0 1 1 0 -V3 Negative Level-2 1 0 0 1 0 0 -(V3 +V2) Negative Level-3 0 1 0 1 0 0 -(V3 +V2+V1) 4. RESULTS AND DISCUSSION This section presents the simulation results of the developed symmetrical 7-level inverter. The magnitude of the sources are taken as V1 = V2 = V3 = 60 V. The maximum voltage obtained as 240 V (i.e., V1+V2+V3). Figure 4 shows the seven level voltage obtained for different switching methods. The FFT analysis of the 7 level voltage waveform for are given in Figure 5. (a) (b) (c) Figure 4. Output Voltage (a) Method - 1 (b) Method - 2 and (c) Method - 3 (a) (b) (c) Figure 5. FFT Analysis (a) Method - 1 (b) Method - 2 and (c) Method - 3
- 5. Int J Pow Elec & Dri Syst ISSN: 2088-8694 A New Seven Level Symmetrical Inverter with Reduced Switch Count (Thiyagarajan V) 925 The simulation result shows that the harmonic content for the switching method - 3 is less when compared with the method-1 and method -2. The results are given in Table 3. Table 3. Comparison of Total Harmonic Distortion Method THD (%) Method - 1 31.35 Method - 2 25.46 Method - 3 12.20 5. CONCLUSION This article proposed a new symmetric 7-level inverter topology. This inverter uses three sources to achieve 7-level output voltage. The proposed inverter circuit can be cnnected in series to generate higher levels. The different methods used to calculate the switching angles are discussed in this paper. The simulation result shows that the switching angles obtained by method - 3 achieves minimum THD as 12.2% compared with other methods. ACKNOWLEDGEMENTS This research work was supported and funded by SSN Trust. REFERENCES [1] R. H. Baker and L. H. Bannister, "Electric Power Converter," U.S. Patent 3 867 643, Feb. 1975. [2] J. S. Lai and F. Z. Peng, "Multilevel converters-a new breed of power converters," in IEEE Transactions on Industry Applications, vol. 32, no. 3, pp. 509-517, 1996. [3] V. Thiyagarajan and P. Somasundaram , “Modified Nine Level Inverter with Reduced Number of Switches”, International Journal of Control Theory and Applications, Vol.10, No. 2 (2017), PP 217-225. [4] J. Rodriguez, S. Bernet, J. Pontt, B.Wu and S. Kouro, ‘Multilevel voltage source converter topologies for industrial medium voltage drives’, IEEE Transactions Industrial Electronics, 54(6), 2930-2945, 2007. [5] L. M. Tolbert, F. Z. Peng, T. G. Habetler, “Multilevel converters for large electric drives,” IEEE Transactions on Industry Applications, vol. 35, no. 1, pp. 36-44, 1999. [6] J. Rodriguez, J. S. Lai and F. Z. Peng, "Multilevel inverter: a survey of topologies,controls, and applications", IEEE Trans. Ind. Electron., 2002, 49, (4), pp. 724–738. [7] A. Nabae, I. Takahashi and H. Akagi, "A New Neutral-Point-Clamped PWM Inverter", IEEE Transactions on Industry Applications, IA-17, 518-523, 1981. [8] J. Huang, K. A Corzine, “Extended operation of flying capacitor multilevel inverters”,, IEEE Transactions on Power Electronics, vol. 21, no. 1, pp. 140-147, January 2006. [9] Z. Du, L. M. Tolbert, B. Ozpineci, J. N. Chiasson, "Fundamental frequency switching strategies of a seven-level hybrid cascaded H-bridge multilevel inverter", IEEE Trans. Power Electron., 2009, 24, (1), pp. 25–33 [10] Banaei, M.R., Salary, E., ‘New multilevel inverter with reduction of switches and gate driver’, Energy Convers. Manage., 2011, 52, pp. 1129–1136. [11] E. Babaei, M.F.Kangarlu, F. Mazgar, "Symmetric and asymmetric multilevel inverter topologies with reduced switching devices", Electric Power Systems Research, Volume 86, May 2012, Pages 122–130 [12] K. Ramani, M.A. Sathik, S Sivakumar, " A New Symmetric Multilevel Inverter Topology Using Single and Double Source Sub-Multilevel Inverters" , Journal of Power Electronics, Volume 15, Issue 1, 2015, pp.96-105. [13] M. Toupchi Khosroshahi, "Crisscross cascade multilevel inverter with reduction in number of components," in IET Power Electronics, vol. 7, no. 12, pp. 2914-2924, 12 2014. [14] E. Babaei, S.H. Hosseini, G.B. Gharehpetian, M. Tarafdar Haque, M. Sabahi, "Reduction of dc voltage sources and switches in asymmetrical multilevel converters using a novel topology", Electric Power Systems Research 77 (2007) 1073–1085. [15] M. Jayabalan, B. Jeevarathinam and T. Sandirasegarane, "Reduced switch count pulse width modulated multilevel inverter," in IET Power Electronics, vol. 10, no. 1, pp. 10-17, 2017. [16] V. Thiyagarajan and P. Somasundaram, "Modified Seven Level Symmetric Inverter with Reduced Switch Count", Advances in Natural and Applied Sciences, vol. 1, no. 7, pp. 264-271, 2017. [17] V. Thiyagarajan and P. Somasundaram, " Modeling and Analysis of Novel Multilevel Inverter Topology with Minimum Number of Switching Components," CMES: Computer Modeling in Engineering & Sciences, Vol. 113,No. 4, pp. 461-473, 2017. [18] V. Thiyagarajan and P. Somasundaram, "New single phase asymmetric multilevel inverter with reduced number of power switches," 2017 International Conference on Power and Embedded Drive Control (ICPEDC), Chennai, 2017, pp. 219-222. [19] F. L. Luo and H. Ye, Advanced DC/AC Inverters,CRC Press LLC, 2013.