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Manikanth Addala et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.116-120
www.ijera.com 116 | P a g e
A Comparison Analysis of Unipolar and Bipolar Switching
modulated Cascade H-Bridge Multi Level Inverters
Manikanth Addala*, KRK Pandu**, V.Satyanarayna***
*(PG Scholar, Department of EEE, Ramachandra College of Engineering, Vatluru(V), Eluru, West Godavari
(Dist ), Andhra Pradesh)
** (Assistant Professor, Department of EEE, Ramachandra College of Engineering, Vatluru(V), Eluru, West
Godavari (Dist ), Andhra Pradesh)
***( Associate Processor, Department of EEE, Ramachandra College of Engineering, Vatluru(V), Eluru, West
Godavari (Dist ), Andhra Pradesh)
ABSTRACT
This paper discusses controlling of cascaded H-bridge multi inverter with sinusoidal modulation based PWM
methods. Multi-level inverters are used to reduce the THD in the output wave form without reduction in power
output of inverter. Increase in voltage level in the output voltage of an inverter increases numbers of components
to be used in inverter configuration. This in turn increases the switching loss. But results in good harmonic
distortion and provide better quality fundamental wave. Carrier based PWM schemes are used for control of
switching operation of multi-level inverters. Many kinds of PWM schemes are available to control inverter
switches. In this paper uniploar carrier based PWM, bipolar carrier based PWM schemes are considered for
generation of carrier signals. The carrier signals thus generated are compared with sinusoidal and third harmonic
based sinusoidal modulating signals for production of switching Pulses. Switching schemes are designed for a 3
Phase 3, 5, 7, 9 and 11 Level inverters. The proposed switching schemes are applied to Cascaded H-Bridge Multi
Level inverters. The circuit is simulated with MATLAB Simulink environment for verification of total harmonic
distortion.
Keywords - Bipolar carrier signals, Cascaded H-bridge multi-level inverter, MATLAB Simulink, sinusoidal
pulse width modulation, third harmonic based sinusoidal pulse width modulation, unipolar carrier signals.
I. Introduction
Recently multilevel inverters have become more
attractive to researchers and industrial companies due
to fast developing of high power devices and related
control techniques (Khajehoddin et al., 2007). The
recent advancement in power electronics has initiated
to improve the level of inverter to cater to the need of
medium voltage high power applications without
transformer (KjaerefoJ.,2005).
The three common topologies for multilevel
inverters are as follows: Diode clamped (neutral
clamped), capacitor clamped (flying capacitors),
cascaded H-bndge inverter but the one considered in
this study is the cascaded H-bridge multilevel
inverter. These converter topologies can generate
high-quality voltage waveforms with power
semiconductor switches operating at a frequency near
the fundamental. It significantly reduces the
harmonics problem with reduced voltage stress
across the switch (Kjaerefa/., 2005). The cascaded H-
bridge multilevel inverter topology has many
advantages not only in terms of its simple structure
but also allows the use of a single dc source as the
first dc source with the remaining (n-1) dc sources
being capacitors (Seyezhai and Mathur, 2010). The
voltage regulation of the capacitor is the key issue
and this is achieved by the switching state
redundancy of the proposed modulation strategy.
This scheme also provides the ability to produce
higher voltages at higher speeds with low switching
losses and high conversion efficiency. The cascaded
multilevel control method is very easy when
compared to other multilevel inverter because it
doesn't require any clamping diode and flying
capacitor (Mafhurm and Seyezhai, 2008).
The diode-clamped inverter (neutral-point
clamped), capacitor-clamped (flying capacitor)
requiring only one dc source and the cascaded bridge
inverter requiring separate dc sources. The latter
characteristic which is a drawback when a single dc
source is available becomes a very attractive feature
in the case of PV Systems because solar cells can be
assembled in a number of separate generators. In this
way, they satisfy the requirements of the CHB-MLI,
obtaining additional advantages such as a possible
elimination of the dc/dc booster (needed in order to
adapt voltage levels), a significant reduction of the
power drops caused by sun darkening (usually, it
influences only a fraction of the overall PV field) and
therefore, a potential increase of efficiency and
reliability (Aghdam et al, 2008).
Performance of the multilevel inverter (such as
THD) is mainly decided by the modulation strategies.
RESEARCH ARTICLE OPEN ACCESS
Manikanth Addala et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.116-120
www.ijera.com 117 | P a g e
For the cascaded multilevel inverter there are several
well known pulse width modulation strategies such as
space vector pwm, sinusoidal pwm, selective
harmonics elimination and multicarrier pwm (Tolbert
et al, 1999). Compared to the conventional method,
the proposed method is subjected to a new
modulation scheme adopting the multicarrier pulse
width modulation concept which uses multiple
modulating signals with a single carrier reduces the
total harmonic distortion (Rodriguez etal., 2002).
This research study deals with harmonic analysis
in 5, 7, 9 and 11 levels by considering up to 23rd
harmonics of single phase cascaded H-bridge
multilevel inverter employing multicarrier pulse
width modulation technique for grid connected
photovoltaic system. The effect of cascaded h-bridge
multilevel inverter topology and change in PV input
parameters irradiation and temperature on the
performance parameters has been analyzed.
II. Cascaded H-Bridge Multi-level
Inverter
Multi-level inverters have emerged recently as
very important role in the area of high power and
medium voltage applications. The multi-level
inverters are, (i) diode clamped multi-level inverters
(ii)flying capacitor multi-level inverter(iii)cascaded
H-bridge multi-level inverter, the cascaded H-bridge
multi-level inverter have some disadvantages
compared to other topologies, because it have the full
H-bridges that improving the level of the voltages.
Same numbers of components are sufficient for each
level. In sinusoidal pulse width modulation, sine
wave is compared with the carrier wave, the pulses
are produced. Then that produces pulses given to the
multi-level inverters, in SVPWM modulating waves
are compared with the carrier wave that produced
pulses also given to the multi-level inverters. Carrier
based schemes are used for multi-level inverters.
Number of carriers are depends on the levels of the
multi-level inverters. For five level inverts four
carriers are used.
Fig 1: Cascaded H Bridge based Multilevel Inverter
In cascaded H-bridge multi-level inverter uses
cascaded full bridge inverters with separate DC
sources, number of devices used in the circuit are
less. Using of H- bridges multilevel inverter increases
the voltage level of the inverter. The fig 1 shows
cascaded H-bridge based multi-level inverter. This
requires less no of components, same amount of
components are sufficient in every voltage level. For
different voltage level the operation of switching
sequence will be following in the table1, when the
battery has 2Vdc voltage. For zero voltage the S1,
S3, S5, S7 switches get ON. For Vdc Voltage S2 S6
S8 S2 switches will be ON. For 2Vdc voltage S1,
S6, S5, S2 switches will be ON, For -2Vdc voltage
S3,S8,S7,S4 switches will be ON, For -Vdc voltage
S3,S7,S5,S4 switches will be ON.
Fig 2: Output of a Seven Level Inverter.
III. Sinusoidal Pulse Width Modulation
In the sinusoidal pulse width modulation, the
reference wave is the sine wave. That is compared
with the carrier triangular Wave, the pulses are
produced. That is given to the inverter. .The sine
Manikanth Addala et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.116-120
www.ijera.com 118 | P a g e
wave is greater than the carrier wave the top switches
are ON. Otherwise the bottom switches are ON.
Fig 3: Unipolar switching sequence generation.
Fig 4: Unipolar Switching signals.
Fig 5: Bipolar switching sequence generation
In this paper Bipolar and Unipolar switching
schemes with sinusoidal and third harmonic based
sinusoidal switching schemes are used for generation
of switching sequences for inverter switching. In
bipolar switching scheme carrier signal have both
positive and negative polarities whereas in unipolar
switching scheme carrier signal have only one
polarity that is either in positive or in negative.
Different carrier and modulating signals are shown in
fig 3 to 10.
Fig 7: Unipolar switching sequence With 3rd
Harmonic modulating signal.
Fig 8: Unipolar 3rd Harmonic Signals.
Fig 9: Bipolar switching sequence With 3rd
Harmonic
modulating signal.
Fig 10: Bipolar 3rd Harmonic Signals
IV. Model Simulation & Results
Different control schemes proposed in chapter III
are applied to a 3-Level, 5-Level, 7-Level, 9-Level
Manikanth Addala et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.116-120
www.ijera.com 119 | P a g e
and 11-inverters for identification of switching
scheme that gives minimum harmonic distortion.
MATLAB simulations are done for different indexes.
Observations made on the different converter circuits
are presented in table – I and Table – II for
modulation index vales 0.9 and 1.0 respectively.
Fig 11: Voltage of 11 level 3 Phase CHB across load
terminals with Bipolar SPWM switching When
mIndex = 1
Name of
Control
Technique
Level of
Inverter
output
voltage
% of
Output
Voltage
%
THD
Unipolar
Carrier
Based
SPWM
3 90.11 63.33
5 90.11 63.33
7 90.11 63.33
9 90.11 63.33
11 90.11 63.33
Bipolar
Carrier
Based
SPWM
3 90.07 64.11
5 90.04 33.32
7 90.05 22.41
9 90.06 16.68
11 89.99 13.21
Unipolar
Carried
Based
Third
Harmonic
SPWM
3 103.6 54.78
5 103.6 54.78
7 103.6 54.78
9 103.6 54.78
11 103.6 54.78
Bipolar
Carrier
Based
Third
Harmonic
SPWM
3 103.6 56.71
5 103.5 37.76
7 103.5 31.13
9 103.5 27.9
11 103.6 25.96
Table I: Observation table for mIndex = 0.9
Name of
Control
Technique
Level of
Inverter
output
voltage
% of
Output
Voltage
%
THD
Unipolar
Carrier
Based
SPWM
3 100.1 51.11
5 100.1 51.11
7 100.1 51.11
9 100.1 51.11
11 100.1 51.11
Bipolar
Carrier
Based
SPWM
3 99.99 52.1
5 99.98 26.94
7 100 18.08
9 99.98 13.75
11 99.98 11.08
Unipolar
Carried
Based Third
Harmonic
SPWM
3 114.5 41.73
5 114.5 41.73
7 114.5 41.73
9 114.5 41.73
11 114.5 41.73
Bipolar
Carrier
Based Third
Harmonic
SPWM
3 114.7 43.9
5 114.7 31.21
7 114.8 27.62
9 114.7 26.1
11 114.8 25.19
Table – II: Observation table for mIndex = 1
V. Conclusion
It is observed that irrespective of the level of the
circuit Bipolar Sinusoidal Pulse Width Modulation
Scheme gives rise to least magnitude of Total
Harmonic Distortion when compared with the other
proposed switching schemes. Unipolar switching
scheme with Fundamental and third harmonic based
modulating signals give more total harmonic
distortion. Whereas bipolar swathing scheme with
third harmonic modulating signal gives 14% higher
output voltage compared to the output voltage
magnitude of other switching schemes but total
harmonic distortion is more compared to Bipolar
Sinusoidal Pulse Width Modulation Scheme.
REFERENCES
[1]. Zhiguo Pan, Fang Zheng Peng, Keith A.
Corzine, Victor R. Stefanovic, John M.
(Mickey) Leuthen, and Slobodan Gataric,
“Voltage Balancing Control Of Diode-
Clamped Multilevel Rectifier/Inverter
Systems” IEEE Trans on Industry
Applications, Vol. 41, No. 6, pp. 1698-1706,
Nov/Dec 2005.
[2]. Robert Stala, “The Switch-Mode Flying-
Capacitor DC–DC Converters with Improved
Natural Balancing”, IEEE Trans. On
Industrial Electronics, Vol. 57, No. 4, pp.
1369-1382, April 2010.
[3]. M. Trabelsi, and L. Ben-Brahim,
“Development Of A Grid Connected
Manikanth Addala et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.116-120
www.ijera.com 120 | P a g e
Photovoltaic Power Conditioning System
Based On Flying Capacitors Inverter”, 8th
International Multi-Conference on Systems,
Signals & Devices, pp. 1-6, May 2011.
[4]. Pablo Lezana, José Rodriguez, and Diego A.
Oyaizu, “Cascaded Multilevel Inverter with
Regeneration Capability and Reduced
Number of Switches”, IEEE Trans. On
Industrial Electronics, Vol. 55, No. 3, pp.
1059-1066, March 2008.
[5]. G.P. Adam, O. Anaya-Lara, G.M. Burt, D.
Telford, B.W. Williams, and J.R. McDonald,
“Modular multilevel inverter: pulse width
modulation and capacitor balancing
technique”, Published in IET Power
Electronics, Vol. 3, Iss. 5, pp. 702-715, 2010.
[6]. Moncef Ben Smida and Faouzi Ben Ammar,
“Modeling and DBC-PSC-PWM Control of a
Three-Phase Flying-Capacitor Stacked
Multilevel Voltage Source Inverter”, IEEE
Trans. On Industrial Electronics, Vol. 57, No.
7, pp. 2231-2239, July 2010.
[7]. Mohan M. Renge and Hiralal M.
Suryawanshi, “Three-Dimensional Space-
Vector Modulation to Reduce Common-Mode
Voltage for Multilevel Inverter”, IEEE Trans.
On Industrial Electronics, Vol. 57, No. 7, pp.
2324-2331, July 2010.
[8]. Ahmed M. Massoud, Shehab Ahmed, Prasad
N. Enjeti, and Barry W. Williams,
“Evaluation of a Multilevel Cascaded-Type
Dynamic Voltage Restorer Employing
Discontinuous Space Vector Modulation”,
IEEE Trans. on Industrial Electronics,Vol. 57,
No7, pp.2398- 2410 July 2010.
[9]. Karthikeyan, R.,Dr.chenthur, pandian,s.,”An
algorithm for minimizing THD in multi level
inverters with space vector
modulation”,IEEE Trans. on Industrial
Electronics, Vol.3, NO.5, pp3915-3921, 2011.

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A Comparison Analysis of Unipolar and Bipolar Switching modulated Cascade H-Bridge Multi Level Inverters

  • 1. Manikanth Addala et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.116-120 www.ijera.com 116 | P a g e A Comparison Analysis of Unipolar and Bipolar Switching modulated Cascade H-Bridge Multi Level Inverters Manikanth Addala*, KRK Pandu**, V.Satyanarayna*** *(PG Scholar, Department of EEE, Ramachandra College of Engineering, Vatluru(V), Eluru, West Godavari (Dist ), Andhra Pradesh) ** (Assistant Professor, Department of EEE, Ramachandra College of Engineering, Vatluru(V), Eluru, West Godavari (Dist ), Andhra Pradesh) ***( Associate Processor, Department of EEE, Ramachandra College of Engineering, Vatluru(V), Eluru, West Godavari (Dist ), Andhra Pradesh) ABSTRACT This paper discusses controlling of cascaded H-bridge multi inverter with sinusoidal modulation based PWM methods. Multi-level inverters are used to reduce the THD in the output wave form without reduction in power output of inverter. Increase in voltage level in the output voltage of an inverter increases numbers of components to be used in inverter configuration. This in turn increases the switching loss. But results in good harmonic distortion and provide better quality fundamental wave. Carrier based PWM schemes are used for control of switching operation of multi-level inverters. Many kinds of PWM schemes are available to control inverter switches. In this paper uniploar carrier based PWM, bipolar carrier based PWM schemes are considered for generation of carrier signals. The carrier signals thus generated are compared with sinusoidal and third harmonic based sinusoidal modulating signals for production of switching Pulses. Switching schemes are designed for a 3 Phase 3, 5, 7, 9 and 11 Level inverters. The proposed switching schemes are applied to Cascaded H-Bridge Multi Level inverters. The circuit is simulated with MATLAB Simulink environment for verification of total harmonic distortion. Keywords - Bipolar carrier signals, Cascaded H-bridge multi-level inverter, MATLAB Simulink, sinusoidal pulse width modulation, third harmonic based sinusoidal pulse width modulation, unipolar carrier signals. I. Introduction Recently multilevel inverters have become more attractive to researchers and industrial companies due to fast developing of high power devices and related control techniques (Khajehoddin et al., 2007). The recent advancement in power electronics has initiated to improve the level of inverter to cater to the need of medium voltage high power applications without transformer (KjaerefoJ.,2005). The three common topologies for multilevel inverters are as follows: Diode clamped (neutral clamped), capacitor clamped (flying capacitors), cascaded H-bndge inverter but the one considered in this study is the cascaded H-bridge multilevel inverter. These converter topologies can generate high-quality voltage waveforms with power semiconductor switches operating at a frequency near the fundamental. It significantly reduces the harmonics problem with reduced voltage stress across the switch (Kjaerefa/., 2005). The cascaded H- bridge multilevel inverter topology has many advantages not only in terms of its simple structure but also allows the use of a single dc source as the first dc source with the remaining (n-1) dc sources being capacitors (Seyezhai and Mathur, 2010). The voltage regulation of the capacitor is the key issue and this is achieved by the switching state redundancy of the proposed modulation strategy. This scheme also provides the ability to produce higher voltages at higher speeds with low switching losses and high conversion efficiency. The cascaded multilevel control method is very easy when compared to other multilevel inverter because it doesn't require any clamping diode and flying capacitor (Mafhurm and Seyezhai, 2008). The diode-clamped inverter (neutral-point clamped), capacitor-clamped (flying capacitor) requiring only one dc source and the cascaded bridge inverter requiring separate dc sources. The latter characteristic which is a drawback when a single dc source is available becomes a very attractive feature in the case of PV Systems because solar cells can be assembled in a number of separate generators. In this way, they satisfy the requirements of the CHB-MLI, obtaining additional advantages such as a possible elimination of the dc/dc booster (needed in order to adapt voltage levels), a significant reduction of the power drops caused by sun darkening (usually, it influences only a fraction of the overall PV field) and therefore, a potential increase of efficiency and reliability (Aghdam et al, 2008). Performance of the multilevel inverter (such as THD) is mainly decided by the modulation strategies. RESEARCH ARTICLE OPEN ACCESS
  • 2. Manikanth Addala et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.116-120 www.ijera.com 117 | P a g e For the cascaded multilevel inverter there are several well known pulse width modulation strategies such as space vector pwm, sinusoidal pwm, selective harmonics elimination and multicarrier pwm (Tolbert et al, 1999). Compared to the conventional method, the proposed method is subjected to a new modulation scheme adopting the multicarrier pulse width modulation concept which uses multiple modulating signals with a single carrier reduces the total harmonic distortion (Rodriguez etal., 2002). This research study deals with harmonic analysis in 5, 7, 9 and 11 levels by considering up to 23rd harmonics of single phase cascaded H-bridge multilevel inverter employing multicarrier pulse width modulation technique for grid connected photovoltaic system. The effect of cascaded h-bridge multilevel inverter topology and change in PV input parameters irradiation and temperature on the performance parameters has been analyzed. II. Cascaded H-Bridge Multi-level Inverter Multi-level inverters have emerged recently as very important role in the area of high power and medium voltage applications. The multi-level inverters are, (i) diode clamped multi-level inverters (ii)flying capacitor multi-level inverter(iii)cascaded H-bridge multi-level inverter, the cascaded H-bridge multi-level inverter have some disadvantages compared to other topologies, because it have the full H-bridges that improving the level of the voltages. Same numbers of components are sufficient for each level. In sinusoidal pulse width modulation, sine wave is compared with the carrier wave, the pulses are produced. Then that produces pulses given to the multi-level inverters, in SVPWM modulating waves are compared with the carrier wave that produced pulses also given to the multi-level inverters. Carrier based schemes are used for multi-level inverters. Number of carriers are depends on the levels of the multi-level inverters. For five level inverts four carriers are used. Fig 1: Cascaded H Bridge based Multilevel Inverter In cascaded H-bridge multi-level inverter uses cascaded full bridge inverters with separate DC sources, number of devices used in the circuit are less. Using of H- bridges multilevel inverter increases the voltage level of the inverter. The fig 1 shows cascaded H-bridge based multi-level inverter. This requires less no of components, same amount of components are sufficient in every voltage level. For different voltage level the operation of switching sequence will be following in the table1, when the battery has 2Vdc voltage. For zero voltage the S1, S3, S5, S7 switches get ON. For Vdc Voltage S2 S6 S8 S2 switches will be ON. For 2Vdc voltage S1, S6, S5, S2 switches will be ON, For -2Vdc voltage S3,S8,S7,S4 switches will be ON, For -Vdc voltage S3,S7,S5,S4 switches will be ON. Fig 2: Output of a Seven Level Inverter. III. Sinusoidal Pulse Width Modulation In the sinusoidal pulse width modulation, the reference wave is the sine wave. That is compared with the carrier triangular Wave, the pulses are produced. That is given to the inverter. .The sine
  • 3. Manikanth Addala et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.116-120 www.ijera.com 118 | P a g e wave is greater than the carrier wave the top switches are ON. Otherwise the bottom switches are ON. Fig 3: Unipolar switching sequence generation. Fig 4: Unipolar Switching signals. Fig 5: Bipolar switching sequence generation In this paper Bipolar and Unipolar switching schemes with sinusoidal and third harmonic based sinusoidal switching schemes are used for generation of switching sequences for inverter switching. In bipolar switching scheme carrier signal have both positive and negative polarities whereas in unipolar switching scheme carrier signal have only one polarity that is either in positive or in negative. Different carrier and modulating signals are shown in fig 3 to 10. Fig 7: Unipolar switching sequence With 3rd Harmonic modulating signal. Fig 8: Unipolar 3rd Harmonic Signals. Fig 9: Bipolar switching sequence With 3rd Harmonic modulating signal. Fig 10: Bipolar 3rd Harmonic Signals IV. Model Simulation & Results Different control schemes proposed in chapter III are applied to a 3-Level, 5-Level, 7-Level, 9-Level
  • 4. Manikanth Addala et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.116-120 www.ijera.com 119 | P a g e and 11-inverters for identification of switching scheme that gives minimum harmonic distortion. MATLAB simulations are done for different indexes. Observations made on the different converter circuits are presented in table – I and Table – II for modulation index vales 0.9 and 1.0 respectively. Fig 11: Voltage of 11 level 3 Phase CHB across load terminals with Bipolar SPWM switching When mIndex = 1 Name of Control Technique Level of Inverter output voltage % of Output Voltage % THD Unipolar Carrier Based SPWM 3 90.11 63.33 5 90.11 63.33 7 90.11 63.33 9 90.11 63.33 11 90.11 63.33 Bipolar Carrier Based SPWM 3 90.07 64.11 5 90.04 33.32 7 90.05 22.41 9 90.06 16.68 11 89.99 13.21 Unipolar Carried Based Third Harmonic SPWM 3 103.6 54.78 5 103.6 54.78 7 103.6 54.78 9 103.6 54.78 11 103.6 54.78 Bipolar Carrier Based Third Harmonic SPWM 3 103.6 56.71 5 103.5 37.76 7 103.5 31.13 9 103.5 27.9 11 103.6 25.96 Table I: Observation table for mIndex = 0.9 Name of Control Technique Level of Inverter output voltage % of Output Voltage % THD Unipolar Carrier Based SPWM 3 100.1 51.11 5 100.1 51.11 7 100.1 51.11 9 100.1 51.11 11 100.1 51.11 Bipolar Carrier Based SPWM 3 99.99 52.1 5 99.98 26.94 7 100 18.08 9 99.98 13.75 11 99.98 11.08 Unipolar Carried Based Third Harmonic SPWM 3 114.5 41.73 5 114.5 41.73 7 114.5 41.73 9 114.5 41.73 11 114.5 41.73 Bipolar Carrier Based Third Harmonic SPWM 3 114.7 43.9 5 114.7 31.21 7 114.8 27.62 9 114.7 26.1 11 114.8 25.19 Table – II: Observation table for mIndex = 1 V. Conclusion It is observed that irrespective of the level of the circuit Bipolar Sinusoidal Pulse Width Modulation Scheme gives rise to least magnitude of Total Harmonic Distortion when compared with the other proposed switching schemes. Unipolar switching scheme with Fundamental and third harmonic based modulating signals give more total harmonic distortion. Whereas bipolar swathing scheme with third harmonic modulating signal gives 14% higher output voltage compared to the output voltage magnitude of other switching schemes but total harmonic distortion is more compared to Bipolar Sinusoidal Pulse Width Modulation Scheme. REFERENCES [1]. Zhiguo Pan, Fang Zheng Peng, Keith A. Corzine, Victor R. Stefanovic, John M. (Mickey) Leuthen, and Slobodan Gataric, “Voltage Balancing Control Of Diode- Clamped Multilevel Rectifier/Inverter Systems” IEEE Trans on Industry Applications, Vol. 41, No. 6, pp. 1698-1706, Nov/Dec 2005. [2]. Robert Stala, “The Switch-Mode Flying- Capacitor DC–DC Converters with Improved Natural Balancing”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 4, pp. 1369-1382, April 2010. [3]. M. Trabelsi, and L. Ben-Brahim, “Development Of A Grid Connected
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