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IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 02 | Feb-2013, Available @ http://www.ijret.org 167
ANALYSIS APPROACH FOR THREE PHASE TWO-LEVEL VOLTAGE
SOURCE INVERTER AND FIVE PHASE TWO-LEVEL VOLTAGE
SOURCE INVERTER FOR INDUCTION MOTOR DRIVE
Ankur P. Desai1
, Rakesh J. Motiyani2
, Vijay G. Bhuva3
, Jignesh P.Desai4
1
Student, Shantilal Shah Engineering College, Bhavnagar, Gujarat, India, 2
Associate Professor, S.N.Patel Institute of
Technology, Bardoli, Gujarat, India, 3
Assistant Professor, Shantilal Shah Engineering College, Bhavnagar, Gujarat,
India, 4
Student, Nirma University, Ahemdabad, Gujarat, India, ankurdesai.vbt12345@gmail.com,
motiyani_me@rediffmail.com, vijay_bhuva@yahoo.com, 11meee04@nirmauni.ac.in
Abstract
This paper gives idea of comparison of three phase two-level voltage source inverter (TPTLVSI) and five phase two-level voltage
inverter (FPTLVSI) without filter circuit for induction motor drive. The paper demonstrates using mat lab simulations about
comparison in term of harmonics analysis for different firing angles and find best angle suitable for output with minimum harmonics
for FPTLVSI. This paper suggests simulation of comparison point of view three phase two-level voltage inverter (TPTLVSI) and five
phase two-level voltage inverter (FPTLVSI) for induction motor drive.
Index Terms: Modeling of Three phase two-level voltage inverter (TPTLVSI) and five phase two-level voltage inverter
(FPTLVSI)
---------------------------------------------------------------------***-------------------------------------------------------------------------
1. INTRODUCTION
RESEARCH interest in the area of multiphase machines has
been steadily increasing over the past decade [1].The newest
developments are application-driven (marine electric propulsion,
electric vehicles (EVs) and hybrid electric vehicles (HEVs),
more electric aircraft, locomotive traction, and high-power
applications in general) and the consequence of the advantages
offered by multiphase machines, when compared to the three-
phase equivalents. These are predominantly related to the
possibility of reduction of the converter per-phase rating for the
given machine power and to significantly improved fault
tolerance, since an n-phase machine can continue to operate with
a rotating field as long as no more than (n−3) phases are faulted.
A further advantage exists if the multiphase machine is designed
with concentrated stator windings, since it then becomes possible
to enhance the torque production by injection of the low-order
stator current harmonics of an appropriate order. five phase
induction machine drive.
Fig.1 Block diagram of five phase induction motor drive
A simple open-loop five-phase drive structure is elaborated in
Error! Reference source not found.. The dc link voltage is
adjusted from the controlled rectifier by varying the conduction
angles of the thyristors. The frequency of the fundamental output
is controlled from the IGBT based voltage source inverter. The
subsequent section describes the implantation issues of control of
a five-phase voltage source inverter. The motivation behind
choosing this structure lies in the fault tolerant nature of a five-
phase drive system. It has been advantage of five phase
induction motor drive like reduction in phase current, reliable in
faulty conditions, reduction in current ripple.
2. BLOCK DIAGRAM FIVE PHASE TWO LEVEL
VOLTAGE SOURCE INVERTER MODEL
As shown in fig.2 each switch in the circuit consists of two
power semiconductor devices connected in anti-parallel. One of
these is a fully controllable semiconductor, such as a bipolar
transistor, MOSFET, or IGBT, while the second is a diode.
Fig.2 Power Circuit topology of a FPTLVSI
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 02 | Feb-2013, Available @ http://www.ijret.org 168
The upper and lower power switches of the same leg are
complimentary in operation, i.e. if the upper switch is ‗ON‘ the
lower must be ‗OFF,‘ and vice-versa. As shown in fig.3 Dead
time is done to avoid shorting the DC supply.
Fig.3 Illustration for dead time
3. HARMONICS ANALYSIS OF TPTLVSI AND
FPTLVSI
This section presents the comprehensive analysis of simulation
results. The performance of two different conduction modes are
elaborated in terms of the harmonic content in the phase
voltages, line voltages and the distortion in the ac side line
current. The Fourier series of the phase-to-neutral voltage for
180° conduction mode is obtained as;
 
1
sin sin3
3
2 1 1
sin 7 sin9
7 9
1
sin11 .....
11
dc
t t
V t t t
t
V
 
 


 
  
 
   
 
 
 
   (1)
From above equation (1) it follows that the fundamental
component of the output phase-to-neutral voltage has an RMS
value equal to
1
2
0.45dc dcV V V
 
(2)
The Fourier series of the phase-to-neutral voltage for 120°
conduction mode is obtained as;
    
1,2,3,..
cos 2 1 sin 2 1
2 10
( )
2 1
dc
n
n n t
V t
n
V





  
   
  
 
  

(3)
From above equation (3) it follows that the fundamental
component of the output phase-to-neutral voltage has an RMS
value equal to
1
2
cos 0.428
10dc dcV V V


 
  
  (4)
As per the equation of (4) loss in fundamental voltage in 120°
conduction mode is of the order of 4.89% compared to 180°
conduction mode. This loss will affect the loss of torque in the
driven machine and subsequently the load will be affected.
However, the drop in the torque is not very significant compared
to the benefits obtained due to better harmonic performance.
Performance comparison in terms of harmonic content in output
phase voltage, for different conduction modes are presented in
fig.10 to 11Error! Reference source not found.. It is clearly
seen that the harmonic content reduces significantly with
reduction in conduction angle. The harmonic content is largest in
180 degree conduction mode and it is least in 120 degree
conduction mode. However, the best utilization of available dc
link voltage is possible with conventional ten step mode (180
degree conduction mode). It can thus be concluded that a trade-
off exist between the loss in fundamental and corresponding gain
in terms of lower harmonic content in output waveform is
obtained by using 120 degree conduction mode.
A comparison of total harmonic distortion in the output phase
voltages of five-phase voltage source inverter for different
conduction angle is presented. The conduction angles considered
are 180°, 162°, 144°, 126°, and 108°. Thus two more conduction
states are included when compared to further prove the
superiority of control at 120° conduction mode. It is observed
that the lowest THD is obtained for 120° conduction mode.
4. MATLAB/SIMULINK MODELING OF TPTLVSI
AND FPTLVSI
Fig.4 Matlab/simulink of model of TPTLVSI
Continuous
powergui
v
+
-
Vcn
v
+
-
Vca
v
+
-
Vbn
v
+
-
Vbc
v
+
-
Van
v
+
-
Vab
Scope
gm
12
S6
gm
12
S5
gm
12
S4
gm
12
S3
gm
12
S2
gm
12
S1
NOT
PG-S6
NOT
PG-S5
NOT
PG-S4
PG-S3
PG-S2
PG-S1
DCVoltage Source
R3
R2
R1
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 02 | Feb-2013, Available @ http://www.ijret.org 169
Fig.5 Matlab/simulink of FPTLVSI
Above fig.4 is mat lab simulation of TPTLVSI with balance
resistive load. It can be simulated as different firing angles of
power electronics switches. Similarly Fig.5 is also mat lab
simulation of FPTLVSI with balance resistive load. It can be
simulated and analysis for different firing angles and takes
measurement of harmonics behavior.
Following Table1 shows THD Vs different firing angles for
FPTLVSI without any filter circuit.
Table: 1 Different firing angles and related THD for harmonic
analysis of FPTLVSI
Firing angles THD(Total Harmonics Distortion)
108 53.63
110 49.96
115 47.3
118 36.99
120 27.03
125 36.28
126 35.68
130 38.51
144 42.98
180 46.68
Fig.6 curve of different firing angles and related THD for
harmonic analysis of FPTLVSI
5. RESULTS
Matlab/simulation results of three phase two-level voltage source
inverter and five phase two-level voltage source
Simulation results of for TPTLVSI and FPTLVSI the operating
conditions given below are shown in Fig.7 to fig.11. Simulation
results show output phase voltages, line voltage currents, gate
triggering, load current, harmonics analysis for three phase two-
level inverter and five phase two level voltage inverter.
Operating condition:
Simulation time: 0.02 sec
DC Link Voltage Vdc=200 V before running simulation given in
command prompt.
Freq=50 Hz running simulation given in command prompt.
Fig.7 Matlab/simulation results for output phase voltages of
Three phase two-level voltage source inverter and five phase
two-level voltage source
0100
0 100 200
THD
Firing Angle of FPTLVSI without
Filter circuit
Harmonics Analysis of
FPTLVSI without Filter
Circuit
Series1
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 02 | Feb-2013, Available @ http://www.ijret.org 170
Fig.8 Matlab/simulation results for output load currents of Three
phase two-level voltage source inverter and five phase two-level
voltage source
Fig.9 Matlab/simulation results for output line voltages of Three
phase two-level voltage source inverter and five phase two-level
voltage source
Fig.10 Matlab/simulation results for FFT analysis of five phase
two level voltage source inverter with 1800 and 1200 conduction
angles.
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 02 | Feb-2013, Available @ http://www.ijret.org 171
Fig.11 Matlab/simulation results for FFT analysis with different
harmonic orders of five phase two level voltage source inverter
with 1800 and 1200 conduction angles.
CONCLUSIONS
It has been advantages of like reduction in phase current, reliable
in faulty conditions, reduction in current ripple as comparison
between TPTLVSI and FPTLVSI. It can encourage of reduction
of current rating of switches like IGBTS/MOSFET used in
Voltage source inverters.
A comparison of total harmonic distortion in the output phase
voltages of five-phase voltage source inverter for different
conduction angle is presented. The conduction angles considered
are 180°, 162°, 144°, 126°, and 108°. Thus two more conduction
states are included when compared to further prove the
superiority of control at 120° conduction mode. It is observed
that the lowest THD is obtained for 120° conduction mode.
This paper has reviewed analytical approach for five phase two
level voltage inverter used in application of induction motor
drive.
REFERENCES
[1] E. Levi, R. Bojoi, F. Profumo, H. A. Toliyat, and S.
Williamson, ―Multiphase induction motor drives—A
technology status review,‖ IET Electr. Power Appl., vol.
1, no. 4, pp. 489–516, 2007.
[2] Grandi, G. Serra, and A. Tani, ―General analysis of multi-
phase systems based on space vector approach,‖ in Proc.
Int. Power Electr. Motion Control Conf. (EPE-PEMC),
Portoroz, Slovenia, 2006, pp. 834– 840.
[3] Y. Zhao and T. A. Lipo, ―Space vector PWM control of
dual three-phase induction machine using vector space
decomposition,‖ IEEE Trans. Ind.Appl., vol. 31, no. 5, pp.
1100–1109, Sep./Oct. 1995.
[4] P. S. N. de Silva, J. E. Fletcher, and B. W. Williams,
―Development of space vectormodulation strategies for
five-phase voltage source inverters,‖ in Proc. Inst. Electr.
Eng. Power Electr., Mach. Drives Conf. (PEMD),
Edinburgh, U.K., 2004, pp. 650–655.
[5] D. Dujic, E. Levi,M. Jones, G. Grandi, G. Serra, and A.
Tani, ―Continuous PWM techniques for sinusoidal voltage
generation with seven-phase voltage source inverters,‖ in
Proc. IEEE Power Electr. Spec. Conf. (PESC), Orlando,
FL, 2007, pp. 47–52.
[6] G. Grandi, G. Serra, and A. Tani, ―Space vector
modulation of a seven phase voltage source inverter,‖ in
Proc. Int. Symp. Power Electron., Electr. Drives, Autom.
Motion (SPEEDAM), Taormina, Italy, 2006, pp. 1149–
1156.
[7] D. Dujic, M. Jones, and E. Levi, ―Space-vector PWM for
nine-phase VSI with sinusoidal output voltage
generation,‖ in Proc. IEEE Ind. Electron.Soc. Annu.
Meeting (IECON), Taipei, Taiwan, 2007, pp. 1324– 1329.
BIOGRAPHIES
A. P. Desai has received the B.E degree in
Electrical Engineering from South Veer
Narmad South Gujarat University, Surat
Gujarat, in 2008. Currently he studies in M.E.
(electrical engineering) of Shantilal shah
Engineering college,Bhavnagar Gujarat,india.
R. J. Motiyani has received the M.E degree
in Electrical Power Engineering from M. S.
University, Baroda, Gujarat in 2005.
Currently he is working with S.N.Patel
Institute of Technology & Research Centre
as Associate Professor in Electrical
Engineering Department.
V.G.Bhuva is currently working with
Shantilal Shah Engineering college,
Bhavnagar, Gujarat, India as assistant
Professor in Electrical Engineering
Department.
Jignesh.P.Desai has received the B.E degree
in Electrical Engineering from South Veer
Narmad South Gujarat University, Surat
Gujarat, in 2009. Currently he studies in
M.Tech. (Power System) of Nirma
University.

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Analysis approach for three phase two level voltage source inverter and five phase two-level voltage source inverter for induction motor drive

  • 1. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 02 | Feb-2013, Available @ http://www.ijret.org 167 ANALYSIS APPROACH FOR THREE PHASE TWO-LEVEL VOLTAGE SOURCE INVERTER AND FIVE PHASE TWO-LEVEL VOLTAGE SOURCE INVERTER FOR INDUCTION MOTOR DRIVE Ankur P. Desai1 , Rakesh J. Motiyani2 , Vijay G. Bhuva3 , Jignesh P.Desai4 1 Student, Shantilal Shah Engineering College, Bhavnagar, Gujarat, India, 2 Associate Professor, S.N.Patel Institute of Technology, Bardoli, Gujarat, India, 3 Assistant Professor, Shantilal Shah Engineering College, Bhavnagar, Gujarat, India, 4 Student, Nirma University, Ahemdabad, Gujarat, India, ankurdesai.vbt12345@gmail.com, motiyani_me@rediffmail.com, vijay_bhuva@yahoo.com, 11meee04@nirmauni.ac.in Abstract This paper gives idea of comparison of three phase two-level voltage source inverter (TPTLVSI) and five phase two-level voltage inverter (FPTLVSI) without filter circuit for induction motor drive. The paper demonstrates using mat lab simulations about comparison in term of harmonics analysis for different firing angles and find best angle suitable for output with minimum harmonics for FPTLVSI. This paper suggests simulation of comparison point of view three phase two-level voltage inverter (TPTLVSI) and five phase two-level voltage inverter (FPTLVSI) for induction motor drive. Index Terms: Modeling of Three phase two-level voltage inverter (TPTLVSI) and five phase two-level voltage inverter (FPTLVSI) ---------------------------------------------------------------------***------------------------------------------------------------------------- 1. INTRODUCTION RESEARCH interest in the area of multiphase machines has been steadily increasing over the past decade [1].The newest developments are application-driven (marine electric propulsion, electric vehicles (EVs) and hybrid electric vehicles (HEVs), more electric aircraft, locomotive traction, and high-power applications in general) and the consequence of the advantages offered by multiphase machines, when compared to the three- phase equivalents. These are predominantly related to the possibility of reduction of the converter per-phase rating for the given machine power and to significantly improved fault tolerance, since an n-phase machine can continue to operate with a rotating field as long as no more than (n−3) phases are faulted. A further advantage exists if the multiphase machine is designed with concentrated stator windings, since it then becomes possible to enhance the torque production by injection of the low-order stator current harmonics of an appropriate order. five phase induction machine drive. Fig.1 Block diagram of five phase induction motor drive A simple open-loop five-phase drive structure is elaborated in Error! Reference source not found.. The dc link voltage is adjusted from the controlled rectifier by varying the conduction angles of the thyristors. The frequency of the fundamental output is controlled from the IGBT based voltage source inverter. The subsequent section describes the implantation issues of control of a five-phase voltage source inverter. The motivation behind choosing this structure lies in the fault tolerant nature of a five- phase drive system. It has been advantage of five phase induction motor drive like reduction in phase current, reliable in faulty conditions, reduction in current ripple. 2. BLOCK DIAGRAM FIVE PHASE TWO LEVEL VOLTAGE SOURCE INVERTER MODEL As shown in fig.2 each switch in the circuit consists of two power semiconductor devices connected in anti-parallel. One of these is a fully controllable semiconductor, such as a bipolar transistor, MOSFET, or IGBT, while the second is a diode. Fig.2 Power Circuit topology of a FPTLVSI
  • 2. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 02 | Feb-2013, Available @ http://www.ijret.org 168 The upper and lower power switches of the same leg are complimentary in operation, i.e. if the upper switch is ‗ON‘ the lower must be ‗OFF,‘ and vice-versa. As shown in fig.3 Dead time is done to avoid shorting the DC supply. Fig.3 Illustration for dead time 3. HARMONICS ANALYSIS OF TPTLVSI AND FPTLVSI This section presents the comprehensive analysis of simulation results. The performance of two different conduction modes are elaborated in terms of the harmonic content in the phase voltages, line voltages and the distortion in the ac side line current. The Fourier series of the phase-to-neutral voltage for 180° conduction mode is obtained as;   1 sin sin3 3 2 1 1 sin 7 sin9 7 9 1 sin11 ..... 11 dc t t V t t t t V                           (1) From above equation (1) it follows that the fundamental component of the output phase-to-neutral voltage has an RMS value equal to 1 2 0.45dc dcV V V   (2) The Fourier series of the phase-to-neutral voltage for 120° conduction mode is obtained as;      1,2,3,.. cos 2 1 sin 2 1 2 10 ( ) 2 1 dc n n n t V t n V                      (3) From above equation (3) it follows that the fundamental component of the output phase-to-neutral voltage has an RMS value equal to 1 2 cos 0.428 10dc dcV V V          (4) As per the equation of (4) loss in fundamental voltage in 120° conduction mode is of the order of 4.89% compared to 180° conduction mode. This loss will affect the loss of torque in the driven machine and subsequently the load will be affected. However, the drop in the torque is not very significant compared to the benefits obtained due to better harmonic performance. Performance comparison in terms of harmonic content in output phase voltage, for different conduction modes are presented in fig.10 to 11Error! Reference source not found.. It is clearly seen that the harmonic content reduces significantly with reduction in conduction angle. The harmonic content is largest in 180 degree conduction mode and it is least in 120 degree conduction mode. However, the best utilization of available dc link voltage is possible with conventional ten step mode (180 degree conduction mode). It can thus be concluded that a trade- off exist between the loss in fundamental and corresponding gain in terms of lower harmonic content in output waveform is obtained by using 120 degree conduction mode. A comparison of total harmonic distortion in the output phase voltages of five-phase voltage source inverter for different conduction angle is presented. The conduction angles considered are 180°, 162°, 144°, 126°, and 108°. Thus two more conduction states are included when compared to further prove the superiority of control at 120° conduction mode. It is observed that the lowest THD is obtained for 120° conduction mode. 4. MATLAB/SIMULINK MODELING OF TPTLVSI AND FPTLVSI Fig.4 Matlab/simulink of model of TPTLVSI Continuous powergui v + - Vcn v + - Vca v + - Vbn v + - Vbc v + - Van v + - Vab Scope gm 12 S6 gm 12 S5 gm 12 S4 gm 12 S3 gm 12 S2 gm 12 S1 NOT PG-S6 NOT PG-S5 NOT PG-S4 PG-S3 PG-S2 PG-S1 DCVoltage Source R3 R2 R1
  • 3. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 02 | Feb-2013, Available @ http://www.ijret.org 169 Fig.5 Matlab/simulink of FPTLVSI Above fig.4 is mat lab simulation of TPTLVSI with balance resistive load. It can be simulated as different firing angles of power electronics switches. Similarly Fig.5 is also mat lab simulation of FPTLVSI with balance resistive load. It can be simulated and analysis for different firing angles and takes measurement of harmonics behavior. Following Table1 shows THD Vs different firing angles for FPTLVSI without any filter circuit. Table: 1 Different firing angles and related THD for harmonic analysis of FPTLVSI Firing angles THD(Total Harmonics Distortion) 108 53.63 110 49.96 115 47.3 118 36.99 120 27.03 125 36.28 126 35.68 130 38.51 144 42.98 180 46.68 Fig.6 curve of different firing angles and related THD for harmonic analysis of FPTLVSI 5. RESULTS Matlab/simulation results of three phase two-level voltage source inverter and five phase two-level voltage source Simulation results of for TPTLVSI and FPTLVSI the operating conditions given below are shown in Fig.7 to fig.11. Simulation results show output phase voltages, line voltage currents, gate triggering, load current, harmonics analysis for three phase two- level inverter and five phase two level voltage inverter. Operating condition: Simulation time: 0.02 sec DC Link Voltage Vdc=200 V before running simulation given in command prompt. Freq=50 Hz running simulation given in command prompt. Fig.7 Matlab/simulation results for output phase voltages of Three phase two-level voltage source inverter and five phase two-level voltage source 0100 0 100 200 THD Firing Angle of FPTLVSI without Filter circuit Harmonics Analysis of FPTLVSI without Filter Circuit Series1
  • 4. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 02 | Feb-2013, Available @ http://www.ijret.org 170 Fig.8 Matlab/simulation results for output load currents of Three phase two-level voltage source inverter and five phase two-level voltage source Fig.9 Matlab/simulation results for output line voltages of Three phase two-level voltage source inverter and five phase two-level voltage source Fig.10 Matlab/simulation results for FFT analysis of five phase two level voltage source inverter with 1800 and 1200 conduction angles.
  • 5. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 02 | Feb-2013, Available @ http://www.ijret.org 171 Fig.11 Matlab/simulation results for FFT analysis with different harmonic orders of five phase two level voltage source inverter with 1800 and 1200 conduction angles. CONCLUSIONS It has been advantages of like reduction in phase current, reliable in faulty conditions, reduction in current ripple as comparison between TPTLVSI and FPTLVSI. It can encourage of reduction of current rating of switches like IGBTS/MOSFET used in Voltage source inverters. A comparison of total harmonic distortion in the output phase voltages of five-phase voltage source inverter for different conduction angle is presented. The conduction angles considered are 180°, 162°, 144°, 126°, and 108°. Thus two more conduction states are included when compared to further prove the superiority of control at 120° conduction mode. It is observed that the lowest THD is obtained for 120° conduction mode. This paper has reviewed analytical approach for five phase two level voltage inverter used in application of induction motor drive. REFERENCES [1] E. Levi, R. Bojoi, F. Profumo, H. A. Toliyat, and S. Williamson, ―Multiphase induction motor drives—A technology status review,‖ IET Electr. Power Appl., vol. 1, no. 4, pp. 489–516, 2007. [2] Grandi, G. Serra, and A. Tani, ―General analysis of multi- phase systems based on space vector approach,‖ in Proc. Int. Power Electr. Motion Control Conf. (EPE-PEMC), Portoroz, Slovenia, 2006, pp. 834– 840. [3] Y. Zhao and T. A. Lipo, ―Space vector PWM control of dual three-phase induction machine using vector space decomposition,‖ IEEE Trans. Ind.Appl., vol. 31, no. 5, pp. 1100–1109, Sep./Oct. 1995. [4] P. S. N. de Silva, J. E. Fletcher, and B. W. Williams, ―Development of space vectormodulation strategies for five-phase voltage source inverters,‖ in Proc. Inst. Electr. Eng. Power Electr., Mach. Drives Conf. (PEMD), Edinburgh, U.K., 2004, pp. 650–655. [5] D. Dujic, E. Levi,M. Jones, G. Grandi, G. Serra, and A. Tani, ―Continuous PWM techniques for sinusoidal voltage generation with seven-phase voltage source inverters,‖ in Proc. IEEE Power Electr. Spec. Conf. (PESC), Orlando, FL, 2007, pp. 47–52. [6] G. Grandi, G. Serra, and A. Tani, ―Space vector modulation of a seven phase voltage source inverter,‖ in Proc. Int. Symp. Power Electron., Electr. Drives, Autom. Motion (SPEEDAM), Taormina, Italy, 2006, pp. 1149– 1156. [7] D. Dujic, M. Jones, and E. Levi, ―Space-vector PWM for nine-phase VSI with sinusoidal output voltage generation,‖ in Proc. IEEE Ind. Electron.Soc. Annu. Meeting (IECON), Taipei, Taiwan, 2007, pp. 1324– 1329. BIOGRAPHIES A. P. Desai has received the B.E degree in Electrical Engineering from South Veer Narmad South Gujarat University, Surat Gujarat, in 2008. Currently he studies in M.E. (electrical engineering) of Shantilal shah Engineering college,Bhavnagar Gujarat,india. R. J. Motiyani has received the M.E degree in Electrical Power Engineering from M. S. University, Baroda, Gujarat in 2005. Currently he is working with S.N.Patel Institute of Technology & Research Centre as Associate Professor in Electrical Engineering Department. V.G.Bhuva is currently working with Shantilal Shah Engineering college, Bhavnagar, Gujarat, India as assistant Professor in Electrical Engineering Department. Jignesh.P.Desai has received the B.E degree in Electrical Engineering from South Veer Narmad South Gujarat University, Surat Gujarat, in 2009. Currently he studies in M.Tech. (Power System) of Nirma University.