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Indonesian Journal of Electrical Engineering and Informatics (IJEEI)
Vol. 5, No. 3, September 2017, pp. 248~258
ISSN: 2089-3272, DOI: 10.11591/ijeei.v5i3.305  248
Received June 6, 2017; Revised July 20, 2017; Accepted August 8, 2017
Investigation of TTMC-SVPWM Strategies for Diode
Clamped and Cascaded H-bridge Multi-level Inverter
Fed Induction Motor Drive
Ravikumar Bhukya*, P. Satish Kumar
Department of Electrical Engineering, University College of Engineering
Osmania University
Hyderabad, Telangana, India, 500007.
e-mail: rkpurnanaik2014@gmail.com*, satish8020@yahoo.co.in
Abstract
This paper presents a concept of two types multilevel inverters such as diode clamped and
cascaded H-bridge for harmonic reduction on high power applications. Normally, multilevel inverters can
be used to reduce the harmonic problems in electrical distribution systems. This paer focused on the
performance and analysis of a three phase seven level inverter including diode clamped and cascaded H-
bridge based on new tripizodal triangular space vector PWM technique approaches. TTMC based modified
Space vector Pulse width modulation technique so called tripizodal triangular Space vector Pulse width
modulation (TTMC-SVPWM) technique. In this paper the reference sine wave generated as in case of
conventional off set injected SVPWM technique. It is observed that the TTMC-Space vector pulse width
modulation ensures excellent, close to optimized pulse distribution results and THD is compared to seven
level, diode clamped and cascaded multi level inverters. Theoretical investigations were confirmed by the
digital simulations using MATLAB/SIMULINK software.
Keywords: Seven level Diode clamped and cascaded inverter, SPWM, TTMC-SPWM, TTMC-
SVPWM, TTMC-SVAPODPWM, THD.
1. Introduction
In the region of high voltage and power, a high quality inverter fed ac drive is more
easily obtained by the use of multi-level and in the first turn of three-level - inverters. And the
several PWM methods for this inverter have been elaborated previously [1-2]. The pulse width
modulation (PWM) strategies are the most effective to control multilevel inverters. The unipolar
PWM and space vector PWM are the most preferred pwm control techniques. Even though
space vector modulation (SVM) is complicated, it is the preferred method to reduce power
losses by decreasing the power electronics devices switching frequency, which can be limited
by pulse width modulation. Different aspects of the three-level inverter will be discussed
including the inverter topology [3-4].
Another important topology, named Cascade H-Bridge (CHB), has fewer components to
achieve the same number of output voltage levels. It is one of the most widely used topologies
due to its reliability and increased capacity to operate under fault conditions in the cells [5-6].
Regarding the modulation techniques, these can be divided into two groups: time domain
modulation, better known as pulse width modulation (PWM), and space vector modulation
(SVM). Within the group of time domain, the phase-shift modulation (PSPWM) is the most
known, having a triangular carrier and a sinusoidal modulator for each phase, which both are
compared and determine how each leg to operate and is widely used in inverters for its
simplicity [7-8].
This paer focused on the performance and analysis of a three phase seven level
inverter including diode clamped and cascaded H-bridge based on new tripizodal triangular
space vector PWM technique approaches. In this paper the reference sine wave generated as
in case of conventional off set injected SVPWM technique. And comparision of THD for both
multilevel inverters.
IJEEI ISSN: 2089-3272 
Investigation of TTMC-SVPWM Strategies for Diode Clamped and… (Ravikumar Bhukya)
249
2. Three-Phase Seven-level Diode Clamped and Cascaded Multi-level Inverter
The structure of a multilevel converter based on series of inverters three phase H-
bridge ; sinusoidal wave voltage is produced by a series of connected H-bridge inverters. Each
cell of the inverter is supplied by a source DC. The structure of a seven-level inverter arm
cascaded type H-bridge is associated with cascade three leg three-phase inverter. Each H-
bridge contains four active switches P1 to P4 with anti-parallel diodes D1 to D4. The separate
DC volt- ages sources are set to 100 V for each H-bridge and the switching frequencies are
1KHz for triangular carrier waves. This type of multilevel inverter topologies can reduce the
number of switching devices, but it requires multiple isolated dc supply to operate the converter.
Figure 1. Seven level cascaded H-bridge multilevel inverter
Figure 1 Exposes out to us the three-phase seven level cascaded H-bridge inverter. In
cascaded H-bridge, each low voltage h-bridge portion has its own DC-link voltage source. Its
control structure is performing much better than NPC inverter. This inverter is common with
other inverters in having seven level. This inverter includes 3 H-bridges inverters that are
connected in one lag cascaded form. The 7-level cascaded H-bridge has been built using 12
switching devices[9].The three phase seven level neutral point clamped inverter (NPC) or
Diode clamped Multi level inverter (DCMLI) topology shown in Figure 2.
Figure 2. Seven level diode clamped (NPC) multilevel inverter
 ISSN: 2089-3272
IJEEI Vol. 5, No. 3, September 2017 : 248 – 258
250
The main feature of the NPC topology is that it requires only one DC source similar to
two-level in high power applications, the structure is most suitable, compared to the
conventional structure. The voltages and current outputs have a much lower harmonic distortion
inverter. Moreover, it provides better performance [10]. In Figure.2, we show three-phases of
seven-level diode clamped inverter.The seven-level can be achieved by using 12 switches ;
each phase is consisted of (6 switches for high leg and 6 switches for bottom leg). The three-
phase shares common dc bus. The clamping diode can be used to restrict safe working level for
the voltage across each capacitor. Therefore, the m-level diode clamped inverter has a (2m-1)-
level output voltage and an m-level output phase voltages [11].
3. Generalized TTMC- Space Vector PWM Technique for Cascaded H-bridge and Diode
Clamped Multilevel Inverter
The sub-harmonic pulse width modulation (SPWM) is commonly used in industrial
applications. The frequency of reference singnals fr determines the inverter output frequency
fo ; and its peak ampltiude Ar controls the modulation index M. Figure 3. Demonstrates the sine-
triangular method for three-phase seven level inverter. There in the a phase modulation singnal
is compared with six (n-1in general) triangular waveforms [12]. For a seven level inverter it
requires 6 triangular carriers.
Figure 3. PD-SPWM
A novel trapezoidal triangular carrier has developed by adding triangular off set to
sinusoidal fundamental waveform so as to shift the lower order harmonics to higher order side.
This novel carrier is compared with the offset injected space vector reference waveform to
generate the required PWM pulses to the inverter. To analyze the performance of the proposed
PWM technique it is implemented on seven level cascaded and diode clamped Multi-level
Inverter. In conventional SVPWM for multilevel inverters to find the switching time duration, for
different inverter vectors, the mapping of the outer sectors to an inner sub hexagon sector is to
be done. The switching inverter vectors corresponding to the concrete sectors are switched and
the time periods premeditated from the mapped inner sectors. Implementing such a scheme in
multilevel inverters will be very difficult, because higher number of sectors and inverter vectors
are present. And in this method the computation time is increased for real time application. In
carrier based PWM scheme aproper offset voltage is added to sinusoidal references before
comparing with carrier waves, to attain the performance of a SVPWM [13].
( max min)
2
T T
Toffset
 
 (1)
Ta,Tb and Tc are the imaginary switching time periods proportional to the instantaneous
values of the reference phase voltages.Then, the comparison between the phase voltages
maximum and minimum absolute values allows the identification of which reference is
responsible for switching in each half period of the carrier. For this purpose, the modulus
function is used to move vertically the reference voltages, resulting in a common point between
the carriers intersections[14]. This function is given in equation (2), (3), (4).
IJEEI ISSN: 2089-3272 
Investigation of TTMC-SVPWM Strategies for Diode Clamped and… (Ravikumar Bhukya)
251
( * )Va Ts
Ta
Vdc

 (2)
( * )Vb Ts
Tb
Vdc

 (3)
( * )Vc Ts
Tc
Vdc

 (4)
An important detail is taken into account to avoid the function operating in negative
values, which makes use of another offset in the reference voltage [15]. Thus, substituting
equation (2), (3), (4) into equation (1) and adding this offset, the equation (5), (6), (7) is
obtained.
[ min]
2
To
Toffest T  (5)
[ ]To Ts Toffest  (6)
[ max min]Toffeset T T  (7)
Figure 5, Figure 6, and Figure 7 is shown in the waveform results generated by adding
the offset voltage described in with the reference sinusoidal waveform. Figure 4. is shows the
comparision of SPWM technique and minimum maximum techniques.
F
igure. 4.Comparision of SPWM technique and minimum maximum techniques
Figure 5. TTMC-PDSVPWM
Figure 6. TTMC-PODSVPWM
 ISSN: 2089-3272
IJEEI Vol. 5, No. 3, September 2017 : 248 – 258
252
Figure 7. TTMC-APODSVPWM
4. Simulation Results and Discussion
The simulation study has performed and carried out three-phase multilevel inverters
behavior based on comparative regrding two different of three-phase diode clamped and
cascaded H-bridge multilevel inverters were developed and its parameters as shown in table1.
In this simulation the constant tripizodal triangular carrier based space vector PWM technique
was used. The carrier frequency used in this designed is about 1 KHz.
4.1.Cascaded H-bridge Multilevel Inverter Simulation Results
The seven level CHBMLI we have done matlab simulation using SPWM techniques
(PD-SPWM, POD-SPWM and APOD-SPWM). We have observe the performance of THD and
load of the induction motor. The fft analysis of seven level inverter show in Figure 8., Figure 9.
And Figure 10. In the seven level single phase CMLI contain three H-bridges with series
connections with the output phase voltage is 7 level and line voltage is 13 level of the inverter.
We can observe the PD-SPWM techniques is perfect with the low THD, voltage and current
shapes of the seven level CMLI.
Figure 8. THD for CHB_PDSPWM
Figure 9. THD for CHB_PODSPWM
Figure 10. THD for CHB_APODSPWM
IJEEI ISSN: 2089-3272 
Investigation of TTMC-SVPWM Strategies for Diode Clamped and… (Ravikumar Bhukya)
253
The seven level CHBMLI we have done matlab simulation using Tripizodal tringular
carrier based SPWM techniques (TTMC-PDSPWM, TTMC-PODSPWM and TTMC-
APODSPWM). We have observe the performance of THD and load of the induction motor. The
fft analysis of seven level inverter show in Figure 11., Figure 12. And Figure 13. In the seven
level single phase CMLI contain three H-bridges with series connections with the output phase
voltage is 7 level and line voltage is 13 level of the inverter. We can observe the TTMC-
PDSPWM techniques is perfect with the low THD, voltage and current shapes of the seven
level CMLI. And we can observe the performance of THD is low in case TTMC based SPWM
comparision of trianular carrier based SPWM techniques.
Figure 11. THD for CHB_TTMC_PDSPWM
Figure 12. THD for CHB_TTMC_PODSPWM
Figure 13. THD for CHB_TTMC_APODSPWM
The seven level CHBMLI we have done matlab simulation using Tripizodal tringular
carrier based SVPWM techniques (TTMC-PDSVPWM, TTMC-PODSVPWM and TTMC-
APODSVPWM). We have observe the performance of THD and load of the induction motor.
The fft analysis of seven level inverter show in Figure 14., Figure 15. And Figure 16. In the
seven level single phase CMLI contain three H-bridges with series connections with the output
phase voltage is 7 level and line voltage is 13 level of the inverter. We can observe the TTMC-
PDSVPWM techniques is perfect with the low THD, voltage and current shapes of the seven
level CMLI. And we can observe the performance of THD is low in case TTMC based SVPWM
comparision of TTMC based SPWM and trianular carrier based SPWM techniques.
 ISSN: 2089-3272
IJEEI Vol. 5, No. 3, September 2017 : 248 – 258
254
Figure 14. THD for CHB_TTMC_PDSVPWM
Figure 15. THD for CHB_TTMC_PODSVPWM
Figure 16. THD for CHB_TTMC_APODSVPWM
4.2.Diode Clamped Multilevel Inverter Simulation Results
The seven level NPCMLI we have done matlab simulation using SPWM techniques
(PD-SPWM, POD-SPWM and APOD-SPWM). We have observe the performance of THD and
load of the induction motor. The fft analysis of seven level inverter show in Figure 17., Figure
18. And Figure 19. In the seven level single phase NPC inverter contain upper leg six switches
and lower leg six switches with the output phase voltage is 7 level and line voltage is 13 level of
the inverter. We can observe the PD-SPWM techniques is perfect with the low THD, voltage
and current shapes of the seven level NPCMLI.
Figure 17. THD for NPC_PDSPWM
IJEEI ISSN: 2089-3272 
Investigation of TTMC-SVPWM Strategies for Diode Clamped and… (Ravikumar Bhukya)
255
Figure 18. THD for NPC_PODSPWM
Figure 19. THD for NPC_APODSPWM
The seven level NPCMLI we have done matlab simulation using Tripizodal tringular
carrier based SPWM techniques (TTMC-PDSPWM, TTMC-PODSPWM and TTMC-
APODSPWM). We have observe the performance of THD and load of the induction motor. The
fft analysis of seven level inverter show in Figure 20., Figure 21. And Figure 22. In the seven
level single phase NPC inverter contain upper leg six switches and lower leg six switches with
the output phase voltage is 7 level and line voltage is 13 level of the inverter. We can observe
the TTMC-PDSPWM techniques is perfect with the low THD, voltage and current shapes of the
seven level NPCMLI. And we can observe the performance of THD is low in case TTMC based
SPWM comparision of trianular carrier based SPWM techniques.
Figure 20. THD for NPC_TTMC_PDSPWM
Figure 21. THD for NPC_TTMC_PODSPWM
 ISSN: 2089-3272
IJEEI Vol. 5, No. 3, September 2017 : 248 – 258
256
Figure 22. THD for NPC_TTMC_APODSPWM
The seven level NPCMLI we have done matlab simulation using Tripizodal tringular
carrier based SVPWM techniques (TTMC-PDSVPWM, TTMC-PODSVPWM and TTMC-
APODSVPWM). We have observe the performance of THD and load of the induction motor.
The fft analysis of seven level inverter show in Figure 23, Figure 24 and Figure 25. In the seven
level single phase NPC inverter contain upper leg six switches and lower leg six switches with
the output phase voltage is 7 level and line voltage is 13 level of the inverter. We can observe
the TTMC-PDSVPWM techniques is perfect with the low THD, voltage and current shapes of
the seven level NPCMLI. And we can observe the performance of THD is low in case TTMC
based SVPWM comparision of TTMC based SPWM and trianular carrier based SPWM
techniques.
Figure 23. THD for NPC_TTMC_PDSVPWM
Figure 24. THD for NPC_TTMC_PODSVPWM
Figure 25. THD for NPC_TTMC_APODSVPWM
The seven level CMLI and NPC MLI was simulated with induction motor load, and the
DC voltage given is 100V. In the seven level single phase CMLI contain three H-bridges with
series connections with the output phase voltage is 7 level and line voltage is 13 level of the
IJEEI ISSN: 2089-3272 
Investigation of TTMC-SVPWM Strategies for Diode Clamped and… (Ravikumar Bhukya)
257
inverter and NPC MLI witch contain upper six switches and lower six switches with the output
phase voltage is 7 level and line voltage is 13 level of the inverter with perfect voltage and
current shapes of the seven level CMLI and NPC MLI.
Table 1. Shown the comparision of THD for seven level CMLI and NPC inverters
PWM Techniques CHBMLI (%THD) NPCMLI(%THD)
PD-SPWM
POD-SPWM
APOD-SPWM
10.81
12.20
13.66
9.73
11.13
11.18
TTMC-PDPWM
TTMC-PODPWM
TTMC-APODPWM
10.58
11.12
11.39
9.22
9.69
10.01
TTMC-PDSVPWM
TTMC-PODSVPWM
TTMC-APODSVPWM
8.09
8.57
8.61
7.58
7.71
7.84
5. Conclusion
This paper focused on the performance and analysis trapezoidal triangular carrier has
developed by adding triangular off set to sinusoidal fundamental waveform so as to shift the
lower order harmonics to higher order side. This novel carrier is compared with the offset
injected space vector reference waveform to generate the required PWM pulses to the inverter.
To analyze the performance of the proposed PWM technique it is implemented on seven level
cascaded and diode clamped Multi-level Inverter. The output line voltage of the NPCMLI slightly
higher than the output line voltage of the cascaded multilevel inverters due to more losses
avsilable in NPCMLI. However the THD of both multilevel inverters are reduced and
comparision of THD for different PWM techniques along with both multilevel inverter.
Acknowledgements
We thank the University Grants Commission (UGC), Govt. of India, NewDelhi for
providing Major Research Project to carry out the Research work on Multi-Level Inverters.
I also thank UGC for awarding me with RGNF FELLOWSHIP to carry out my research
work (Ph.D).
Appendix
Table 2. System parameters of the induction motor
Parameters Specifications
Input voltage 400VRMS(PhasePhase)
Inverter voltage 100(Volts)
Rotor speed
Fundamentalfrequency
Switching frequency
Modulation index
Frequency modulation
1440(RPM)
50(Hz)
1K(Hz)
1
200
References
[1] Akira Nabae, Isao Takahashi and Hirofumi Akagi. A New Neutral-Point-Clamped Pwm Inverter. IEEE
Trans On Industry Applications. 1981; Ia-17(5): 518-523.
[2] Irfan Ahmed, Vijay B Borghate. Simplified space vector modulation technique for seven-level
cascaded H-bridge inverter. IET Power Electron. 2014; 7(3): 604–613.
[3] M Satyanarayana, P Satish Kumar. Analysis and Design of Solar Photo Voltaic Grid Connected
Inverter. Indonesian Journal of Electrical Engineering and Informatics (IJEEI). 2015; 3: 199-208.
 ISSN: 2089-3272
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[4] Ryu HM, Kim JH, Sul SK. Analysis of multi-phase space vector pulse width modulation based on
multiple d–q spaces concept. IEEE Trans. Power Electron. 2005; 20(6): 1364–1371.
[5] Lai JS, Peng FZ. Multilevel converters - a new breed of power converters. IEEE Trans-actions on
Industry Applications. 1985; 32(3): 509-517.
[6] A Gupta, A Khambadkone. A space vector PWM scheme for multilevel inverters based on two-level
space vector PWM. IEEE Trans. Ind. Electron. 2006; 53(5): 1631–1639.
[7] McGrath BP, Holmes DG. Multicarrier PWM strategies for multilevel inverters. IEEE Transactions on
Industrial Electronics. 2002; 49(4): 858-867.
[8] Wang H, Deng Y, He X. Novel Carrier-based PWM Method with Voltage Balance for Flying Capacitor
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[9] FZ Peng, JS Lai. Multilevel cascade voltage-source inverter with separate DC sources. U.S. Patent 5
642 275. 1997.
[10] Mc Grath BP, Holmes DG, Lipo T. Optimized Space Vector Switching Sequences for Multilevel
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[11] Kumar A. Direct torque control of induction motor using imaginary switching times with 0-12-7 & 0-1-2
switching sequences: a comparative study.In: 30th Annual Conference of IEEE Industrial Electronics
Society (IECON 2004). Busan: IEEE. 2002: 1492–1497.
[12] Ravi kumar Bhukya, P Satish kumar, E Sreenu. Analysis of level shifted modulation strategies applied
to cascaded H-bridge multilevel inverter fed induction motor drive. Sixth International Conference on
Advances in Computing, Control and Networking–ACCN2017. 2017: 80-84.
[13] José Rodriguez, Jih-Sheng Lai, Fang Zheng Peng. Multilevel Inverters: A Survey of Topologies,
Controls, and Applications. IEEE Transactions on Industrial Electronics. 2002; 49(4): 724-738.
[14] Reddy TB, J Amarnath, D Subbarayudu. New Hybrid SVPWM Methods for Direct Torque Controlled
Induction Motor Drive for Reduced Current Ripple. In: International Conference on Power Electronics,
Drives and Energy Systems.New Delhi: IEEE. 2006: 1–6.
[15] Ravi kumar Bhukya, P Satish kumar. Performance Analysis of Modified SVPWM Strategies for Three
Phase Cascaded Multi-level Inverter fed Induction Motor Drive. international journal of power
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Investigation of TTMC-SVPWM Strategies for Diode Clamped and Cascaded H-bridge Multi-level Inverter Fed Induction Motor Drive

  • 1. Indonesian Journal of Electrical Engineering and Informatics (IJEEI) Vol. 5, No. 3, September 2017, pp. 248~258 ISSN: 2089-3272, DOI: 10.11591/ijeei.v5i3.305  248 Received June 6, 2017; Revised July 20, 2017; Accepted August 8, 2017 Investigation of TTMC-SVPWM Strategies for Diode Clamped and Cascaded H-bridge Multi-level Inverter Fed Induction Motor Drive Ravikumar Bhukya*, P. Satish Kumar Department of Electrical Engineering, University College of Engineering Osmania University Hyderabad, Telangana, India, 500007. e-mail: rkpurnanaik2014@gmail.com*, satish8020@yahoo.co.in Abstract This paper presents a concept of two types multilevel inverters such as diode clamped and cascaded H-bridge for harmonic reduction on high power applications. Normally, multilevel inverters can be used to reduce the harmonic problems in electrical distribution systems. This paer focused on the performance and analysis of a three phase seven level inverter including diode clamped and cascaded H- bridge based on new tripizodal triangular space vector PWM technique approaches. TTMC based modified Space vector Pulse width modulation technique so called tripizodal triangular Space vector Pulse width modulation (TTMC-SVPWM) technique. In this paper the reference sine wave generated as in case of conventional off set injected SVPWM technique. It is observed that the TTMC-Space vector pulse width modulation ensures excellent, close to optimized pulse distribution results and THD is compared to seven level, diode clamped and cascaded multi level inverters. Theoretical investigations were confirmed by the digital simulations using MATLAB/SIMULINK software. Keywords: Seven level Diode clamped and cascaded inverter, SPWM, TTMC-SPWM, TTMC- SVPWM, TTMC-SVAPODPWM, THD. 1. Introduction In the region of high voltage and power, a high quality inverter fed ac drive is more easily obtained by the use of multi-level and in the first turn of three-level - inverters. And the several PWM methods for this inverter have been elaborated previously [1-2]. The pulse width modulation (PWM) strategies are the most effective to control multilevel inverters. The unipolar PWM and space vector PWM are the most preferred pwm control techniques. Even though space vector modulation (SVM) is complicated, it is the preferred method to reduce power losses by decreasing the power electronics devices switching frequency, which can be limited by pulse width modulation. Different aspects of the three-level inverter will be discussed including the inverter topology [3-4]. Another important topology, named Cascade H-Bridge (CHB), has fewer components to achieve the same number of output voltage levels. It is one of the most widely used topologies due to its reliability and increased capacity to operate under fault conditions in the cells [5-6]. Regarding the modulation techniques, these can be divided into two groups: time domain modulation, better known as pulse width modulation (PWM), and space vector modulation (SVM). Within the group of time domain, the phase-shift modulation (PSPWM) is the most known, having a triangular carrier and a sinusoidal modulator for each phase, which both are compared and determine how each leg to operate and is widely used in inverters for its simplicity [7-8]. This paer focused on the performance and analysis of a three phase seven level inverter including diode clamped and cascaded H-bridge based on new tripizodal triangular space vector PWM technique approaches. In this paper the reference sine wave generated as in case of conventional off set injected SVPWM technique. And comparision of THD for both multilevel inverters.
  • 2. IJEEI ISSN: 2089-3272  Investigation of TTMC-SVPWM Strategies for Diode Clamped and… (Ravikumar Bhukya) 249 2. Three-Phase Seven-level Diode Clamped and Cascaded Multi-level Inverter The structure of a multilevel converter based on series of inverters three phase H- bridge ; sinusoidal wave voltage is produced by a series of connected H-bridge inverters. Each cell of the inverter is supplied by a source DC. The structure of a seven-level inverter arm cascaded type H-bridge is associated with cascade three leg three-phase inverter. Each H- bridge contains four active switches P1 to P4 with anti-parallel diodes D1 to D4. The separate DC volt- ages sources are set to 100 V for each H-bridge and the switching frequencies are 1KHz for triangular carrier waves. This type of multilevel inverter topologies can reduce the number of switching devices, but it requires multiple isolated dc supply to operate the converter. Figure 1. Seven level cascaded H-bridge multilevel inverter Figure 1 Exposes out to us the three-phase seven level cascaded H-bridge inverter. In cascaded H-bridge, each low voltage h-bridge portion has its own DC-link voltage source. Its control structure is performing much better than NPC inverter. This inverter is common with other inverters in having seven level. This inverter includes 3 H-bridges inverters that are connected in one lag cascaded form. The 7-level cascaded H-bridge has been built using 12 switching devices[9].The three phase seven level neutral point clamped inverter (NPC) or Diode clamped Multi level inverter (DCMLI) topology shown in Figure 2. Figure 2. Seven level diode clamped (NPC) multilevel inverter
  • 3.  ISSN: 2089-3272 IJEEI Vol. 5, No. 3, September 2017 : 248 – 258 250 The main feature of the NPC topology is that it requires only one DC source similar to two-level in high power applications, the structure is most suitable, compared to the conventional structure. The voltages and current outputs have a much lower harmonic distortion inverter. Moreover, it provides better performance [10]. In Figure.2, we show three-phases of seven-level diode clamped inverter.The seven-level can be achieved by using 12 switches ; each phase is consisted of (6 switches for high leg and 6 switches for bottom leg). The three- phase shares common dc bus. The clamping diode can be used to restrict safe working level for the voltage across each capacitor. Therefore, the m-level diode clamped inverter has a (2m-1)- level output voltage and an m-level output phase voltages [11]. 3. Generalized TTMC- Space Vector PWM Technique for Cascaded H-bridge and Diode Clamped Multilevel Inverter The sub-harmonic pulse width modulation (SPWM) is commonly used in industrial applications. The frequency of reference singnals fr determines the inverter output frequency fo ; and its peak ampltiude Ar controls the modulation index M. Figure 3. Demonstrates the sine- triangular method for three-phase seven level inverter. There in the a phase modulation singnal is compared with six (n-1in general) triangular waveforms [12]. For a seven level inverter it requires 6 triangular carriers. Figure 3. PD-SPWM A novel trapezoidal triangular carrier has developed by adding triangular off set to sinusoidal fundamental waveform so as to shift the lower order harmonics to higher order side. This novel carrier is compared with the offset injected space vector reference waveform to generate the required PWM pulses to the inverter. To analyze the performance of the proposed PWM technique it is implemented on seven level cascaded and diode clamped Multi-level Inverter. In conventional SVPWM for multilevel inverters to find the switching time duration, for different inverter vectors, the mapping of the outer sectors to an inner sub hexagon sector is to be done. The switching inverter vectors corresponding to the concrete sectors are switched and the time periods premeditated from the mapped inner sectors. Implementing such a scheme in multilevel inverters will be very difficult, because higher number of sectors and inverter vectors are present. And in this method the computation time is increased for real time application. In carrier based PWM scheme aproper offset voltage is added to sinusoidal references before comparing with carrier waves, to attain the performance of a SVPWM [13]. ( max min) 2 T T Toffset    (1) Ta,Tb and Tc are the imaginary switching time periods proportional to the instantaneous values of the reference phase voltages.Then, the comparison between the phase voltages maximum and minimum absolute values allows the identification of which reference is responsible for switching in each half period of the carrier. For this purpose, the modulus function is used to move vertically the reference voltages, resulting in a common point between the carriers intersections[14]. This function is given in equation (2), (3), (4).
  • 4. IJEEI ISSN: 2089-3272  Investigation of TTMC-SVPWM Strategies for Diode Clamped and… (Ravikumar Bhukya) 251 ( * )Va Ts Ta Vdc   (2) ( * )Vb Ts Tb Vdc   (3) ( * )Vc Ts Tc Vdc   (4) An important detail is taken into account to avoid the function operating in negative values, which makes use of another offset in the reference voltage [15]. Thus, substituting equation (2), (3), (4) into equation (1) and adding this offset, the equation (5), (6), (7) is obtained. [ min] 2 To Toffest T  (5) [ ]To Ts Toffest  (6) [ max min]Toffeset T T  (7) Figure 5, Figure 6, and Figure 7 is shown in the waveform results generated by adding the offset voltage described in with the reference sinusoidal waveform. Figure 4. is shows the comparision of SPWM technique and minimum maximum techniques. F igure. 4.Comparision of SPWM technique and minimum maximum techniques Figure 5. TTMC-PDSVPWM Figure 6. TTMC-PODSVPWM
  • 5.  ISSN: 2089-3272 IJEEI Vol. 5, No. 3, September 2017 : 248 – 258 252 Figure 7. TTMC-APODSVPWM 4. Simulation Results and Discussion The simulation study has performed and carried out three-phase multilevel inverters behavior based on comparative regrding two different of three-phase diode clamped and cascaded H-bridge multilevel inverters were developed and its parameters as shown in table1. In this simulation the constant tripizodal triangular carrier based space vector PWM technique was used. The carrier frequency used in this designed is about 1 KHz. 4.1.Cascaded H-bridge Multilevel Inverter Simulation Results The seven level CHBMLI we have done matlab simulation using SPWM techniques (PD-SPWM, POD-SPWM and APOD-SPWM). We have observe the performance of THD and load of the induction motor. The fft analysis of seven level inverter show in Figure 8., Figure 9. And Figure 10. In the seven level single phase CMLI contain three H-bridges with series connections with the output phase voltage is 7 level and line voltage is 13 level of the inverter. We can observe the PD-SPWM techniques is perfect with the low THD, voltage and current shapes of the seven level CMLI. Figure 8. THD for CHB_PDSPWM Figure 9. THD for CHB_PODSPWM Figure 10. THD for CHB_APODSPWM
  • 6. IJEEI ISSN: 2089-3272  Investigation of TTMC-SVPWM Strategies for Diode Clamped and… (Ravikumar Bhukya) 253 The seven level CHBMLI we have done matlab simulation using Tripizodal tringular carrier based SPWM techniques (TTMC-PDSPWM, TTMC-PODSPWM and TTMC- APODSPWM). We have observe the performance of THD and load of the induction motor. The fft analysis of seven level inverter show in Figure 11., Figure 12. And Figure 13. In the seven level single phase CMLI contain three H-bridges with series connections with the output phase voltage is 7 level and line voltage is 13 level of the inverter. We can observe the TTMC- PDSPWM techniques is perfect with the low THD, voltage and current shapes of the seven level CMLI. And we can observe the performance of THD is low in case TTMC based SPWM comparision of trianular carrier based SPWM techniques. Figure 11. THD for CHB_TTMC_PDSPWM Figure 12. THD for CHB_TTMC_PODSPWM Figure 13. THD for CHB_TTMC_APODSPWM The seven level CHBMLI we have done matlab simulation using Tripizodal tringular carrier based SVPWM techniques (TTMC-PDSVPWM, TTMC-PODSVPWM and TTMC- APODSVPWM). We have observe the performance of THD and load of the induction motor. The fft analysis of seven level inverter show in Figure 14., Figure 15. And Figure 16. In the seven level single phase CMLI contain three H-bridges with series connections with the output phase voltage is 7 level and line voltage is 13 level of the inverter. We can observe the TTMC- PDSVPWM techniques is perfect with the low THD, voltage and current shapes of the seven level CMLI. And we can observe the performance of THD is low in case TTMC based SVPWM comparision of TTMC based SPWM and trianular carrier based SPWM techniques.
  • 7.  ISSN: 2089-3272 IJEEI Vol. 5, No. 3, September 2017 : 248 – 258 254 Figure 14. THD for CHB_TTMC_PDSVPWM Figure 15. THD for CHB_TTMC_PODSVPWM Figure 16. THD for CHB_TTMC_APODSVPWM 4.2.Diode Clamped Multilevel Inverter Simulation Results The seven level NPCMLI we have done matlab simulation using SPWM techniques (PD-SPWM, POD-SPWM and APOD-SPWM). We have observe the performance of THD and load of the induction motor. The fft analysis of seven level inverter show in Figure 17., Figure 18. And Figure 19. In the seven level single phase NPC inverter contain upper leg six switches and lower leg six switches with the output phase voltage is 7 level and line voltage is 13 level of the inverter. We can observe the PD-SPWM techniques is perfect with the low THD, voltage and current shapes of the seven level NPCMLI. Figure 17. THD for NPC_PDSPWM
  • 8. IJEEI ISSN: 2089-3272  Investigation of TTMC-SVPWM Strategies for Diode Clamped and… (Ravikumar Bhukya) 255 Figure 18. THD for NPC_PODSPWM Figure 19. THD for NPC_APODSPWM The seven level NPCMLI we have done matlab simulation using Tripizodal tringular carrier based SPWM techniques (TTMC-PDSPWM, TTMC-PODSPWM and TTMC- APODSPWM). We have observe the performance of THD and load of the induction motor. The fft analysis of seven level inverter show in Figure 20., Figure 21. And Figure 22. In the seven level single phase NPC inverter contain upper leg six switches and lower leg six switches with the output phase voltage is 7 level and line voltage is 13 level of the inverter. We can observe the TTMC-PDSPWM techniques is perfect with the low THD, voltage and current shapes of the seven level NPCMLI. And we can observe the performance of THD is low in case TTMC based SPWM comparision of trianular carrier based SPWM techniques. Figure 20. THD for NPC_TTMC_PDSPWM Figure 21. THD for NPC_TTMC_PODSPWM
  • 9.  ISSN: 2089-3272 IJEEI Vol. 5, No. 3, September 2017 : 248 – 258 256 Figure 22. THD for NPC_TTMC_APODSPWM The seven level NPCMLI we have done matlab simulation using Tripizodal tringular carrier based SVPWM techniques (TTMC-PDSVPWM, TTMC-PODSVPWM and TTMC- APODSVPWM). We have observe the performance of THD and load of the induction motor. The fft analysis of seven level inverter show in Figure 23, Figure 24 and Figure 25. In the seven level single phase NPC inverter contain upper leg six switches and lower leg six switches with the output phase voltage is 7 level and line voltage is 13 level of the inverter. We can observe the TTMC-PDSVPWM techniques is perfect with the low THD, voltage and current shapes of the seven level NPCMLI. And we can observe the performance of THD is low in case TTMC based SVPWM comparision of TTMC based SPWM and trianular carrier based SPWM techniques. Figure 23. THD for NPC_TTMC_PDSVPWM Figure 24. THD for NPC_TTMC_PODSVPWM Figure 25. THD for NPC_TTMC_APODSVPWM The seven level CMLI and NPC MLI was simulated with induction motor load, and the DC voltage given is 100V. In the seven level single phase CMLI contain three H-bridges with series connections with the output phase voltage is 7 level and line voltage is 13 level of the
  • 10. IJEEI ISSN: 2089-3272  Investigation of TTMC-SVPWM Strategies for Diode Clamped and… (Ravikumar Bhukya) 257 inverter and NPC MLI witch contain upper six switches and lower six switches with the output phase voltage is 7 level and line voltage is 13 level of the inverter with perfect voltage and current shapes of the seven level CMLI and NPC MLI. Table 1. Shown the comparision of THD for seven level CMLI and NPC inverters PWM Techniques CHBMLI (%THD) NPCMLI(%THD) PD-SPWM POD-SPWM APOD-SPWM 10.81 12.20 13.66 9.73 11.13 11.18 TTMC-PDPWM TTMC-PODPWM TTMC-APODPWM 10.58 11.12 11.39 9.22 9.69 10.01 TTMC-PDSVPWM TTMC-PODSVPWM TTMC-APODSVPWM 8.09 8.57 8.61 7.58 7.71 7.84 5. Conclusion This paper focused on the performance and analysis trapezoidal triangular carrier has developed by adding triangular off set to sinusoidal fundamental waveform so as to shift the lower order harmonics to higher order side. This novel carrier is compared with the offset injected space vector reference waveform to generate the required PWM pulses to the inverter. To analyze the performance of the proposed PWM technique it is implemented on seven level cascaded and diode clamped Multi-level Inverter. The output line voltage of the NPCMLI slightly higher than the output line voltage of the cascaded multilevel inverters due to more losses avsilable in NPCMLI. However the THD of both multilevel inverters are reduced and comparision of THD for different PWM techniques along with both multilevel inverter. Acknowledgements We thank the University Grants Commission (UGC), Govt. of India, NewDelhi for providing Major Research Project to carry out the Research work on Multi-Level Inverters. I also thank UGC for awarding me with RGNF FELLOWSHIP to carry out my research work (Ph.D). Appendix Table 2. System parameters of the induction motor Parameters Specifications Input voltage 400VRMS(PhasePhase) Inverter voltage 100(Volts) Rotor speed Fundamentalfrequency Switching frequency Modulation index Frequency modulation 1440(RPM) 50(Hz) 1K(Hz) 1 200 References [1] Akira Nabae, Isao Takahashi and Hirofumi Akagi. A New Neutral-Point-Clamped Pwm Inverter. IEEE Trans On Industry Applications. 1981; Ia-17(5): 518-523. [2] Irfan Ahmed, Vijay B Borghate. Simplified space vector modulation technique for seven-level cascaded H-bridge inverter. IET Power Electron. 2014; 7(3): 604–613. [3] M Satyanarayana, P Satish Kumar. Analysis and Design of Solar Photo Voltaic Grid Connected Inverter. Indonesian Journal of Electrical Engineering and Informatics (IJEEI). 2015; 3: 199-208.
  • 11.  ISSN: 2089-3272 IJEEI Vol. 5, No. 3, September 2017 : 248 – 258 258 [4] Ryu HM, Kim JH, Sul SK. Analysis of multi-phase space vector pulse width modulation based on multiple d–q spaces concept. IEEE Trans. Power Electron. 2005; 20(6): 1364–1371. [5] Lai JS, Peng FZ. Multilevel converters - a new breed of power converters. IEEE Trans-actions on Industry Applications. 1985; 32(3): 509-517. [6] A Gupta, A Khambadkone. A space vector PWM scheme for multilevel inverters based on two-level space vector PWM. IEEE Trans. Ind. Electron. 2006; 53(5): 1631–1639. [7] McGrath BP, Holmes DG. Multicarrier PWM strategies for multilevel inverters. IEEE Transactions on Industrial Electronics. 2002; 49(4): 858-867. [8] Wang H, Deng Y, He X. Novel Carrier-based PWM Method with Voltage Balance for Flying Capacitor Multilevel Inverters. Power Electronics Specialists Conference. 2004; 6: 44234427. [9] FZ Peng, JS Lai. Multilevel cascade voltage-source inverter with separate DC sources. U.S. Patent 5 642 275. 1997. [10] Mc Grath BP, Holmes DG, Lipo T. Optimized Space Vector Switching Sequences for Multilevel Inverters. IEEE Transactions on Power Electronics. 2003; 18: 1293-1301. [11] Kumar A. Direct torque control of induction motor using imaginary switching times with 0-12-7 & 0-1-2 switching sequences: a comparative study.In: 30th Annual Conference of IEEE Industrial Electronics Society (IECON 2004). Busan: IEEE. 2002: 1492–1497. [12] Ravi kumar Bhukya, P Satish kumar, E Sreenu. Analysis of level shifted modulation strategies applied to cascaded H-bridge multilevel inverter fed induction motor drive. Sixth International Conference on Advances in Computing, Control and Networking–ACCN2017. 2017: 80-84. [13] José Rodriguez, Jih-Sheng Lai, Fang Zheng Peng. Multilevel Inverters: A Survey of Topologies, Controls, and Applications. IEEE Transactions on Industrial Electronics. 2002; 49(4): 724-738. [14] Reddy TB, J Amarnath, D Subbarayudu. New Hybrid SVPWM Methods for Direct Torque Controlled Induction Motor Drive for Reduced Current Ripple. In: International Conference on Power Electronics, Drives and Energy Systems.New Delhi: IEEE. 2006: 1–6. [15] Ravi kumar Bhukya, P Satish kumar. Performance Analysis of Modified SVPWM Strategies for Three Phase Cascaded Multi-level Inverter fed Induction Motor Drive. international journal of power electronics and drive systems. 2017; 8(2): 835-843.