2. A
signal. Each c
signal is grea
the first o
period ,otherw
the voltage le
the inverters.
pulse width m
TABLE I SWITC
Switches
S11
S21
S31
S41
S12
S22
S32
S42
A. Alternative
All the c
shown in the
frequency an
shifted by 180
Fig
comparison g
ater than or lo
r second
wise it is zer
evel, which is
The differe
modulation (M
Figure 1. T
CHING STRATEGY
s
+2Vdc
ON
OFF
OFF
ON
ON
OFF
OFF
ON
e Phase Oppo
arriers are al
figure 2. In th
nd the same a
0º with its adj
gure 2. PWM W
gives +1 or
ower than the
half of
ro. The result
required at th
ent types of m
MSPWM) is sh
Types of MSPWM
Y FOR FIVE LEVE
Load Voltag
+Vdc 0
ON ON
OFF ON
OFF OFF
ON OFF
ON ON
ON ON
OFF OFF
OFF OFF
osition Dispos
lternatively in
his method ca
amplitude; the
jacent carriers
Waveform for APO
-1 if the mod
triangular car
the funda
ts are added t
he output term
multilevel sinu
hown in the fi
M
L CASCADED INV
ge
-Vdc -2Vd
OFF OFF
ON ON
ON ON
OFF OFF
OFF OFF
OFF ON
ON ON
ON OFF
sition (APOD)
n position wh
arriers have th
e carriers are
s.
OD scheme
dulating
rrier in
amental
to give
minal of
usoidal
figure 1.
VERTER
dc
F
F
F
F
) PWM
hich is
he same
e phase
B.
sa
re
th
C.
lin
D.
th
sa
an
Phase Oppos
In this meth
ame amplitude
eference are in
hose below wh
Figu
. Phase Dispo
All the
ne are in phas
Fig
. Phase shifte
In this meth
he case of ca
ame frequency
n angle 90º as
Fig
sition Disposi
hod carriers h
e. But all the
n phase amon
hich is shown
ure 3. PWM Wav
osition(PD) P
carriers abov
e which is sho
gure 4. PWM Wa
ed (PS) PWM
hod there are
arrier disposit
y, same ampl
shown in the
gure 5. PWM wa
ition(POD) P
have the same
e carriers abo
ng them but i
in the figure
veform for POD
WM
ve and below
own in the fig
aveform for PD s
e two carriers
tion PWM .T
litude and are
figure 5.
aveform for PS s
WM
frequency an
ove the zero v
in opposition
3.
scheme
the zero refer
gure 4.
scheme
per module
The carriers
e phase shifte
cheme
nd the
value
with
rence
as in
have
ed by
281
3. Modulation P
The am
of MSPWM t
Modulation
index
Ma
Where N
N- numbe
Frequency
IV. SIMUL
The sing
various PWM
technique ar
R2007a.For f
needed for sim
the each brid
output. MOSF
reducing the h
proposed cir
modulation t
technique. F
techniques, si
in the simul
voltages are
analysis for a
Figure 6. Simu
Parameters
mplitude modu
techniques are
TABLE II M
APOD
A
A
c
r
N '
’ is given by
N’
er of levels in
y modulation
M
LATION CIRCUI
IN
gle phase cas
M techniques
re simulated
five level casc
mulation as sh
dge is added
FET switches
harmonics in
rcuit uses mu
technique tha
For all the
imulations are
ation circuit
noted. Tota
all the PWM te
ulation circuit of
ulation indice
e shown in the
MODULATION IND
POD
A
A
c
r
N ' N
= (N-1)/2
the inverter
ratio is given
Mf = fr /fc
IT FOR CASCA
NVERTER
scaded five l
s and Switch
with the
caded inverte
hown in the f
in series to o
s are used as p
the output vo
ultilevel sinu
an the switch
e configurati
e done by var
and their co
al Harmonic
echniques are
f five level cascad
es for differen
e table.
DEX
PD P
A
A
c
r
N ' A
A
n by
ADED FIVE LE
level inverter
hing angle va
use of MA
er two H-bridg
figure. The ou
obtain the fiv
power switch
oltage wavefor
usoidal pulse
hing angle va
ions of MS
rying the sub
orresponding
Distortion
e done.
ded multilevel in
nt types
PS
A
A
c
r
VEL
r using
ariation
ATLAB
ges are
utput of
e level
hes. For
rm, the
width
ariation
SPWM
system
output
(THD)
nverter
Figure 7. Outpu
Figure 8.
Figure 9.
Figure 1
ut voltage wavefo
tec
Output Voltage w
. Output Voltage
0. Output Voltag
orm using switch
chnique
waveform using A
waveform using
ge waveform usin
hing angle variatio
APOD PWM
POD PWM
ng PD PWM
on
282
4. Figur
THD valu
same and it
variation tech
various modu
are analyzed
modulation i
Comparing a
harmonics for
Figure
This wor
sinusoidal pu
five level inv
waveform ca
different conf
modulation t
opposition dis
the others. Th
appropriate m
can reduce ha
re 11. Output volt
ue for all the
is reduced 1
hnique with
ulation indice
as shown in
indices resul
all the types o
r POD PWM t
12. THD analysi
V. C
rk proposed
ulse width m
verter. The h
an be reduce
figuration of m
techniques. T
sposition PW
he harmonics
modulation ind
armonics in th
tage waveform us
MSPWM te
18 percent fro
THD value
es for every M
n figure 12. T
lts in reduct
of PWM we
than the other
s for different typ
ONCLUSION
the simula
modulation sc
harmonics in
ed significant
multilevel sin
he harmonic
WM contains lo
s can be reduc
dices. By incr
he output volta
sing PS PWM
echniques are
om switching
of 45%. TH
MSPWM tech
The increase
tion of harm
have slightly
rs.
pes of MSPWM
ation of mu
cheme for ca
the output v
tly by utilizi
nusoidal pulse
contents for
ower harmoni
ced by selecti
reasing the lev
age waveform
nearly
g angle
HD for
hniques
in the
monics.
y lower
ltilevel
ascaded
voltage
ng the
e width
r phase
cs than
ing the
vels we
m.
[1]
[2]
[3]
[4]
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