In
te
r
n
ation
a
l Jou
rn
al
o
f Po
we
r
Elec
tron
ic
s an
d
D
r
ive S
y
stem
(IJ
PED
S
)
V
o
l.
10, N
o.
1, Mar
ch 20
19,
p
p.
300~
3
0
6
IS
S
N
: 2088-
86
94,
D
O
I
:
10.11
59
1
/ij
ped
s
.
v10
.
i
1.pp
3
00-
30
6
300
Jou
rn
a
l
h
o
me
pa
ge
:
ht
tp:
//i
a
e
score
.
com
/
j
o
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r
na
l
s
/
i
n
d
e
x
.
p
hp/IJ
PED
S
Analysis of series/parallel m
ul
tilevel inverter w
i
th symmetrica
l
and asymmetrical configurati
ons
Motap
a
rth
i
Nag
ar
aj
u
,
M
all
i
gu
n
t
a
Ki
r
a
n
Ku
mar
D
e
partm
e
nt
of
E
l
ectri
cal and
El
ectro
ni
cs E
ngin
eeri
n
g
Ko
neru
Lak
sh
mai
a
h E
d
u
cation
F
oun
datio
n,
I
n
d
i
a
Art
i
cl
e In
fo
ABSTRACT
A
r
tic
le hist
o
r
y
:
R
e
c
e
i
v
e
d
Feb
1
6
,
2
018
Re
vise
d Ju
l 2
7
,
201
8
Ac
ce
p
t
ed
Oc
t
3
, 2
0
18
Usa
g
e
o
f
h
igh
p
o
we
r
a
n
d
me
d
i
u
m
v
ol
ta
ge
a
pp
lic
a
tio
ns
i
n
do
me
stic
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nd
in
du
s
t
ria
l
purp
o
s
e
h
as
b
een
i
n
c
reased
i
n
the
re
cent
years.
A
l
s
o
,
the
pen
e
trati
o
n
o
f
r
en
ewabl
e
e
nerg
y
s
ources
i
s
in
crea
s
i
n
g
r
ap
idly.
To
m
ake
us
e
th
e
ren
e
wabl
e
e
n
e
r
g
y
s
o
u
rces
t
h
e
re
i
s
a
need
o
f
usin
g
inv
e
rters
.
T
h
e
basi
c
in
vert
er
i
s
con
v
ent
i
o
n
al
t
w
o
l
evel
i
n
v
erter
wh
i
c
h
p
r
od
uces
t
h
e
square
w
ave
ou
tp
ut
volt
a
ge.
Th
e
m
a
jo
r
d
r
awback
o
f
co
nv
en
ti
onal
i
n
v
e
rter
i
s
it
c
ontai
n
s
m
o
re
h
arm
o
n
i
cs.
Th
eref
ore,
m
ult
i
l
e
vel
in
vert
ers
h
a
ve
b
e
e
n
in
tro
duced
w
ith
st
aircase
ou
tp
u
t
v
o
l
t
a
ge
w
avef
orm
.
L
ot
o
f
m
u
lt
ilevel
i
n
v
erter
t
op
olo
g
ie
s
h
a
ve
been
d
e
v
elo
p
ed
a
nd
casc
a
d
e
d
H
b
r
id
ge
t
yp
e
is
t
h
e
m
o
r
e
f
r
equ
e
nt
l
y
u
s
e
d
.
Bu
t,
it
r
equ
i
res
m
o
re
n
um
ber
o
f
s
w
i
tches
fo
r
hi
gh
er
o
u
t
p
u
t
vo
ltag
e
l
ev
el.
In
t
h
i
s
paper,
a
n
ovel
7
l
evel
a
symmet
r
i
cal
m
ul
tilevel
invert
er
t
opol
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i
s
p
ro
po
se
d
with
l
es
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nu
m
b
er
o
f
sw
itch
es.
Th
is
p
ro
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sed
to
pol
og
y
is
c
ompare
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with
alread
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exis
ti
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t
o
p
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gy.
T
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io
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of
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ly
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t
is
carri
ed
o
ut
b
y
us
ing
M
a
tl
ab
/
s
im
uli
nk
so
ftware.
The
c
omp
a
riso
n
bet
w
een
e
xi
st
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t
o
p
o
l
ogy
a
n
d
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rop
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e
d
top
o
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o
g
y
i
s
gi
ven
.
T
h
e
r
es
ul
ts
a
re
d
i
sc
usse
d a
n
d pr
e
s
e
n
te
d
.
K
eyw
ord
s
:
Ca
sca
d
e
d
H
-
b
r
i
dge
i
nver
t
e
r
(CHB
)
Mu
lt
ile
ve
l in
ve
r
t
e
r
s (
M
LI
)
R
e
n
e
wabl
e en
erg
y
sou
r
ce
s
(RES)
To
tal ha
rmo
n
ic
d
istort
i
on
(THD
)
Co
pyri
gh
t © 2
019 In
stit
u
t
e
of Advanced
En
gi
neeri
n
g
an
d
S
c
ien
ce.
All
rights
res
e
rv
ed.
Corres
pon
d
i
n
g
Au
th
or:
Mo
t
a
part
hi N
a
g
ara
j
u,
D
e
pa
rtme
nt
o
f
El
e
c
t
rica
l
and
Ele
c
t
ron
i
cs E
n
g
i
n
ee
ri
n
g
K
on
er
u
Lak
shm
a
ia
h
Ed
ucat
i
on F
oun
da
t
i
o
n
,
V
a
dde
sw
ara
m
, G
unt
ur,
A
n
d
h
ra
P
rade
sh,
522
50
2,
I
ndia.
Em
ail:
nagar
a
j
unec
9
@gm
a
i
l
.c
om
1.
I
N
TR
OD
U
C
TI
O
N
C
o
u
n
t
r
y
’s
e
lec
t
ric
a
l
e
ner
gy
d
e
m
a
nd
is
m
ore
t
h
a
n
t
he
e
l
e
ctrica
l
e
n
erg
y
g
ene
r
a
t
ed
a
nd
at
t
he
s
am
e
ti
m
e
f
oss
i
l
fue
l
s
u
ppl
y
is be
i
n
g
d
e
c
re
ase
d
.
The
r
efore,
t
he
r
e
s
e
a
r
ch
h
as
b
een
s
t
a
rt
ed
t
o
w
a
r
d
s
a
l
t
e
rn
ati
v
e
e
n
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r
gy
source
s
a
nd
t
h
e
ou
t
c
ome
is
r
ene
w
ab
le
e
ner
gy
s
o
urce
s
(RES
)
[1]-[
4].
Solar
,
w
i
n
d
a
n
d
fue
l
cel
l
a
r
e
the
m
o
st
com
m
onl
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use
d
r
ene
w
ab
le
e
nerg
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so
urc
e
s.
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he
p
ow
e
r
p
rod
u
c
e
d
from
t
he
se
e
ner
gy
s
ourc
e
s
is
k
n
o
w
n
as
dis
t
ributed
ge
neration
(
DG)
[
5]-[7
].
T
he
DG
sy
stem
c
an
b
e
em
plo
ye
d
a
t
l
oa
d
ce
n
t
e
r
s
a
nd
the
r
ef
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t
he
transm
i
s
s
i
on
c
o
s
t
o
f
p
o
we
r
wil
l
d
ec
rea
s
e.
A
t
the
sam
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t
ime
,
t
he
d
e
m
a
n
d
fo
r
p
o
w
er
e
l
e
c
t
ro
ni
c
co
nv
e
r
t
e
r
s
a
l
s
o
has
bee
n
i
ncre
ased
b
eca
use
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he
e
ne
rg
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ge
n
e
ra
t
e
d
from
re
new
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t
e
n
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u
g
h
t
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nnec
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direc
t
l
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d
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C
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olta
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p
rod
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c
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re
n
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wa
bl
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st
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e
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ert
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d t
o
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C
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nne
ct
it
to
t
h
e
g
r
i
d.
F
or
t
his
p
u
rpo
s
e,
i
nver
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e
r
s
ar
e
u
sed
a
nd
t
h
e
ba
si
c
inve
rter
i
s
tw
o
le
ve
l
i
n
verter
.
Thi
s
i
nv
e
r
t
e
r
pro
d
u
c
e
s
t
h
e
s
qu
a
r
e
wa
v
e
o
utp
u
t
vo
lt
a
g
e
whi
c
h
h
a
s
m
ore
h
a
r
m
onic
d
i
stort
i
o
n
.
T
h
ese
har
m
oni
c
s
ca
use
s
f
or
p
ara
s
itic
t
orq
u
es
i
n
c
a
se
o
f
e
l
e
c
t
ri
ca
l
m
a
c
h
ine
s
a
nd
p
r
o
d
u
c
e
m
or
e
am
oun
t
of
h
e
a
t
l
o
s
s
es.
H
e
n
c
e
t
o
overc
ome
thes
e
draw
backs,
m
ul
t
i
le
vel i
n
ve
r
t
e
r
t
op
ol
o
g
i
e
s
have
b
e
e
n
i
n
t
rod
u
ce
d
and
de
vel
o
ped.
Th
ese
mul
til
eve
l
i
nv
e
r
t
e
rs
h
av
e
got
m
o
r
e
a
t
t
e
nti
o
n
d
u
e
t
o
t
h
ei
r
a
d
v
a
n
ta
g
e
s.
T
he
m
ul
t
i
le
ve
l
i
nve
r
t
er
pro
duce
s
v
er
y
low
ha
rm
o
n
ic
d
ist
o
rt
io
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in
t
h
e
o
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u
t
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lta
ge
w
av
e
f
or
m,
t
he
r
ate
of
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ise
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ge
(
dv
/dt)
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s
less
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t
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ra
w
s
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ur
rent
w
it
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l
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w
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on
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e
nt
w
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n
u
s
ed
f
or
d
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ve
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app
l
ica
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o
ns.
The
r
e
ha
ve
b
e
e
n
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ot
o
f
mult
i
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el
i
nv
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f
l
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c
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pa
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i
to
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typ
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a
nd
c
as
cad
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H
b
rid
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(CHB
)
[8]-[11]
m
ul
tilevel
inver
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Out
of
t
hes
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,
the
d
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Evaluation Warning : The document was created with Spire.PDF for Python.
Int J
P
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S
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:
2088-
86
94
Analy
s
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M
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30
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com
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use
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.
In
c
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m
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itc
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ith tw
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C
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ourc
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s.
T
he to
t
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s
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a
rried o
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si
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M
a
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k
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om
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lso
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s
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ng
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d pr
o
pose
d
t
op
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gy.
2.
7
LE
V
EL S
Y
MMETRICAL
S
ERIE
S
/
PA
RALLEL
CONFIG
URA
T
I
ON
S
e
ve
n
le
ve
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sy
mm
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t
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c
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l
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ara
lle
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m
u
l
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i
l
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nve
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c
on
fi
g
u
r
a
t
i
o
n
i
s
s
ho
wn
i
n
F
i
gu
re
1
.
In
th
i
s
c
o
n
f
i
gura
tion
t
h
ree
D
C
v
ol
ta
ge
s
ourc
e
s
of
s
am
e
m
a
gn
i
t
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d
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i
s
c
o
nside
r
ed.
E
i
g
h
t
s
w
i
tc
hes
are
req
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ir
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d
t
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get 7 leve
l ou
tpu
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vo
l
tage.
T
h
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sw
itc
h
i
n
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s
e
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nce for 7 le
ve
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m
m
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t
r
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c
a
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c
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nfi
g
urati
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n
is
s
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o
w
n
in Tab
l
e 1.
By
opera
ti
ng
the
sw
itc
hes i
n
p
ro
per
ma
nner, the
s
eve
n
l
eve
l
ou
t
pu
t v
o
l
t
a
g
e is
obta
i
ne
d.
F
i
gure
1.
7 Le
v
el s
ym
me
trical
s
e
r
ies/
para
lle
l
in
ve
r
t
er
c
onfi
gur
a
t
ion
Tab
l
e
1.
S
w
itc
hi
n
g
S
equenc
e
VO
LT
AG
E
LEV
EL
S
W
I
T
CHI
N
G
S
E
QUE
N
C
E
S
1
S
2
S
3
S
4
S
5
S
6
S
7
S
8
0
O
F
F
O
FF
OF
F
O
FF
ON
ON
O
FF
OF
F
V
DC
/3
O
FF
ON
O
N
O
FF
ON
O
FF
O
N
O
F
F
2V
DC
/3
O
FF
ON
OF
F
ON
ON
O
FF
O
N
O
F
F
V
DC
O
N
O
FF
OF
F
ON
ON
O
FF
O
N
O
F
F
-V
DC
/3
O
FF
ON
O
N
O
FF
O
FF
ON
O
FF
O
N
-2V
DC
/3
O
FF
ON
OF
F
O
FF
O
FF
ON
O
FF
O
N
-V
DC
O
N
O
FF
OF
F
O
FF
O
FF
O
FF
O
FF
O
N
3.
7
LE
V
EL ASYMMETRICAL
S
ERIES/
PARALL
E
L
CONFIG
UR
AT
ION
The
as
ym
m
e
trical
s
e
r
ies
pa
r
a
lle
l
c
o
n
f
ig
urati
o
n
for
seve
n
l
e
ve
l
is
s
h
o
w
n
i
n
F
igur
e
2.
I
n
th
i
s
con
f
ig
ura
tio
n,
t
w
o
D
C
v
o
l
t
a
ge
s
our
ces
o
f
d
i
f
f
ere
n
t
ma
gn
itu
de
(
V
dc
a
nd
2V
dc)
are
con
s
i
d
e
r
ed.
S
e
ven
sw
it
c
h
es a
re requ
i
re
d t
o
ge
n
era
t
e
se
ve
n le
ve
l ou
tpu
t
v
o
l
tage
. T
able 2 g
i
v
e
s
us t
h
e
sw
it
c
h
ing
pa
tter
n
for 7 le
v
e
l
asym
me
t
r
i
c
al
c
on
f
i
g
u
ra
t
i
o
n
.
By
s
w
itc
h
i
ng
O
N
and
O
F
F
t
h
e
d
i
f
f
er
e
n
t
s
w
i
t
c
hes
in
a
p
ro
pe
r
m
a
nner
t
h
e
seve
n
l
e
v
e
l
ou
tput
v
ol
t
a
g
e
i
s obt
ai
n
e
d
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN: 2088-
8694
I
nt
J
P
ow
Elec
& Dr
i
S
y
st, Vol. 10,
N
o.
1, Mar
c
h 2
0
1
9
:
30
0 –
30
6
30
2
Figure
2.
7
Le
v
el a
sym
m
e
trical
s
eries/
par
a
l
l
e
l
i
n
v
erter
co
nf
i
g
u
ration
Tab
l
e
2.
S
w
itc
hi
n
g
seq
uenc
e
VO
L
T
AG
E
LE
VE
LS
S
W
I
T
CHI
N
G
S
E
QUE
N
C
E
S
1
S
2
S
3
S
4
S
5
S
6
S
7
3V
dc
O
N
ON
OF
F
O
FF
OF
F
ON
OF
F
2V
dc
O
N
ON
OF
F
O
FF
OF
F
O
FF
O
N
V
dc
O
N
ON
OF
F
O
FF
O
N
O
FF
OF
F
0
OF
F
ON
OF
F
ON
OF
F
O
FF
OF
F
-V
dc
OF
F
O
FF
O
N
ON
O
N
O
FF
OF
F
-2
V
dc
OF
F
O
FF
O
N
ON
OF
F
O
FF
O
N
-3
V
dc
OF
F
O
FF
O
N
ON
OF
F
ON
OF
F
4.
SIMU
L
A
TION
R
ESULT
S
4.1.
7 level
sy
m
m
etr
i
ca
l ser
i
e
s
/
p
ara
l
lel c
o
n
f
igur
ation
C
a
se1:
R
Loa
d
The
ou
t
p
u
t
v
o
l
tage
w
a
v
efor
m
is
s
how
n
i
n
F
i
gure
3.
T
he
m
agn
i
tu
de
o
f
vo
lt
a
g
e
i
s
3
0
0
vo
lt
s.
F
i
g
u
r
e
4
show
s t
h
e o
u
t
p
ut c
urren
t
w
ave
form
.
F
i
gure
3.
O
utp
u
t v
o
l
t
a
ge
F
i
gure
4.
O
ut
p
u
t
curre
n
t
Evaluation Warning : The document was created with Spire.PDF for Python.
Int J
P
o
w
El
e
c
&
D
ri S
yst
I
S
S
N
:
2088-
86
94
Analy
s
is of
se
r
i
e
s
/
p
ar
all
e
l multilev
e
l
inve
r
t
e
r
with
sy
mmetr
ical and asy
mmetr
i
c
al... (
M
otapar
thi Nagar
aju)
30
3
Ca
se
2
: RL Lo
a
d
O
u
t
p
u
t
vo
l
tage
of RL l
oa
d
i
s
s
how
n i
n
F
igur
e
5.
T
he
o
u
t
p
u
t
cur
r
ent
o
f
RL loa
d
is sh
ow
n i
n
F
ig
ure 6.
Th
e
t
o
t
a
l
h
a
rmo
n
i
c
d
is
to
rti
on
fo
r
ou
t
put
v
olt
a
g
e
o
f
RL
l
o
a
d
i
s
sh
ow
n
in
F
igure
7.
T
he
m
ea
sured
va
lu
e
of
THD
i
s
3
0
.
2
8
%.
F
i
gure
5.
O
utp
u
t v
o
l
t
a
ge
F
i
gure
6.
O
ut
p
u
t
curre
n
t
F
i
gure
7. TH
D
of
ou
tpu
t
vol
ta
ge
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN: 2088-
8694
I
nt
J
P
ow
Elec
& Dr
i
S
y
st, Vol. 10,
N
o.
1, Mar
c
h 2
0
1
9
:
30
0 –
30
6
30
4
4.2.
7 level
asym
metr
ic
a
l
ser
i
e
s
/
p
a
ra
l
l
el c
on
figu
r
a
ti
on
C
a
se1:
R
Loa
d
The
o
u
tp
ut
v
o
l
t
a
ge
i
s
s
h
o
w
n
in
F
i
g
ur
e
8
and
the
m
a
g
n
i
t
ude
o
f
v
o
lta
ge
i
s
30
0
v
o
lts.
The
o
u
t
p
ut
curr
ent is sh
o
w
n
in
fi
gure
9. The
a
mpli
tu
de
o
f
curr
ent is 3
0
am
ps.
F
i
gure
8.
O
utp
u
t v
o
l
t
a
ge
F
i
gure
9.
O
ut
p
u
t
curre
n
t
C
a
se2:
R
L Load
F
i
gure
1
0
s
ho
w
s
t
he
o
u
t
pu
t
vo
lta
g
e
w
ave
f
orm
w
i
t
h
a
m
a
g
n
i
tu
de
o
f
3
0
0
vol
ts.
F
i
gure
11
s
how
s
t
h
e
ou
tpu
t
c
urr
e
nt
w
avef
o
r
m
w
i
t
h
a
m
a
gni
t
ude
o
f
3
0
a
mps.
T
he
t
o
t
a
l
harm
onic
d
istortio
n
is
m
easured
for
the
ou
tpu
t
v
o
l
t
a
ge
a
nd
the
m
e
a
s
ured
v
a
l
ue
i
s
3
0
.2
6%
.
The
c
o
mpa
r
i
s
o
n
t
a
b
l
e
b
e
t
w
e
e
n
s
y
m
m
e
t
r
i
c
a
l
a
n
d
asym
me
t
r
i
c
al s
e
r
ies/
para
llel
c
o
n
f
ig
urat
io
n is
s
how
n in
T
a
b
l
e
3.
F
i
gur
e 1
1
.
O
u
tpu
t
cur
rent
Evaluation Warning : The document was created with Spire.PDF for Python.
Int J
P
o
w
El
e
c
&
D
ri S
yst
I
S
S
N
:
2088-
86
94
Analy
s
is of
se
r
i
e
s
/
p
ar
all
e
l multilev
e
l
inve
r
t
e
r
with
sy
mmetr
ical and asy
mmetr
i
c
al... (
M
otapar
thi Nagar
aju)
30
5
F
i
gur
e 1
2
.
O
u
tpu
t
v
ol
t
a
ge
T
H
D
Tab
l
e
3
.
Com
pa
riso
n Tab
l
e
C
onf
i
g
u
r
a
t
ion
Nu
m
b
er
of
s
w
i
t
ch
es
Nu
m
b
er
o
f
ga
t
e
d
riving
ci
r
c
u
i
t
s
Nu
m
b
e
r
of
e
xtra
diode
s
Nu
m
b
er
of
volta
ge
sourc
e
s
Sy
mme
tr
ic
a
l
S
e
r
i
es
/
p
a
r
al
l
e
l
8
8
N
il
3
Asy
mmetr
i
c
a
l
S
e
r
i
es
/
p
a
r
al
l
e
l
7
7
N
il
2
5.
CONCL
U
S
ION
I
n
c
onc
l
u
sio
n
,
it
is
f
i
r
mly
conc
l
ude
d
tha
t
t
he
a
s
y
m
m
e
t
r
i
c
a
l
s
e
r
i
e
s
/
p
a
r
a
ll
e
l
m
ul
t
i
le
v
e
l
i
n
v
e
r
t
e
r
con
f
ig
ura
tio
n
re
qu
i
r
es
7
p
ow
er
s
e
m
ic
ond
uc
t
i
n
g
s
w
itc
hes,
7
g
a
t
e
dri
v
er
c
ircu
its
a
nd
o
nl
y
t
w
o
D
C
v
ol
ta
ge
source
s wh
ich
are
less
w
h
e
n
c
o
mpa
r
ed to s
y
mm
etrica
l
ser
i
e
s
/pa
r
a
ll
el
m
ul
tile
ve
l
in
verter
con
f
i
g
u
r
a
t
i
o
n
.
In t
h
i
s
pape
r,
b
ot
h
s
y
m
m
e
t
r
i
c
a
l
a
n
d
asym
me
t
r
i
c
al
s
er
i
e
s/pa
ral
l
e
l
c
on
f
i
g
ura
t
i
o
ns
a
re
e
xp
lai
n
e
d
a
nd
a
na
l
y
si
s
i
s
d
o
n
e
.
The
t
o
ta
l
work
i
s
ca
rried
o
u
t
b
y
u
s
in
g
Ma
tla
b/
si
m
u
l
i
nk
so
ftw
a
re
.
Th
e
an
aly
s
i
s
i
s
do
ne
f
or
b
oth
resi
stiv
e
and
resist
ive
-
in
d
u
c
tive
l
o
a
d
.
The
seve
n
l
e
ve
ls
o
f
out
pu
t
vo
lta
ge
h
a
s
been
o
bta
i
ned
w
i
t
h
a
m
a
g
n
itu
de
o
f
3
0
0
vo
l
t
s
and
a
ne
arl
y
s
i
nuso
i
dal
w
a
v
e
form
f
or
R
L
l
o
ad
i
s
ob
ta
i
n
e
d
w
it
h
a
m
a
g
n
i
t
u
d
e
o
f
3
0
a
m
p
s
.
T
h
e
t
o
t
a
l
h
a
r
m
o
n
i
c
di
st
ort
i
o
n
f
or
out
p
u
t
v
o
l
t
a
g
e
i
s
m
ea
su
r
e
d.
A
s
the
vol
ta
ge
l
e
v
e
l
s
are
sa
me
t
he
T
H
D
for
bo
th
t
he
c
o
n
fig
u
r
a
tio
ns
has g
o
t
sa
me
va
l
ue
o
f
3
0
.26%
.
REFE
RENCES
[1]
Rit
e
sh
d
as
u,
S
arat
C
han
d
ra
swai
n
a
nd
S
anh
i
t
a
m
is
hra,”
Com
p
ariti
v
e
a
n
a
l
y
s
i
s
o
f
l
i
n
e
a
r
c
o
n
t
r
o
l
l
e
r
s
u
s
e
d
f
o
r
g
r
i
d
con
n
ected
P
V
s
y
st
em”,
i
n
In
ternat
io
nal jo
u
r
na
l o
f
elect
rica
l a
n
d
co
mp
ut
er eng
i
n
eerin
g
(
I
JECE)
,
v
o
l.
8
,
n
o
.
1
,
p
p
51
3-5
20,
F
ebru
ary
2
018
.
[2]
S
u
m
a
iy
a
rah
m
a
n
a
n
d
H
asim
a
ab
dul
r
ah
m
a
n,
”
Use
o
f
ph
oto
vol
ta
i
c
s
i
n
m
icro
g
ri
d
as
e
n
e
rgy
s
ource
and
con
t
ro
l
m
e
th
od
usi
ng
MA
TL
AB/sim
uli
n
k”,
i
n
Interna
tional jour
nal o
f
e
l
ect
rica
l a
nd comp
uter
engineer
in
g
(
I
JECE)
,
vol.
6,
n
o
.
2
,
pp.
85
1-8
58,
a
pril
2
0
1
6
.
[3]
G.
R
.
Dh
ik
a
l
e
and
G
.
N
.
J
a
dhav
,
"
D
e
si
gn
an
d
anal
ysi
s
o
f
TZ-so
u
r
ce
in
verter
f
o
r
i
n
t
egration
of
r
enewab
le
energ
y
,"
20
1
6
IEEE 7th
Po
w
e
r In
dia In
te
rn
atio
na
l Co
n
f
e
r
e
n
c
e
(PIIC
ON)
,
B
i
k
a
ne
r,
2
01
6,
p
p.
1
-6
.
do
i:
10
.
1
1
09/POWERI.
2
01
6.
8
0771
78
[4]
S
.
G
upta,
S
.
Singh
,
G.
B
hu
vane
s
w
ari
,
B
.
Si
ng
h
a
n
d
N.
M
o
h
an
,
"A
t
h
y
r
istori
sed
ph
ase-co
ntro
ll
e
d
c
y
c
lo
con
v
erter
bas
e
d
po
wer
electro
ni
c
t
r
ansf
o
r
m
e
r
f
o
r
g
r
id
i
n
t
e
g
rati
on
o
f
ren
e
w
a
b
l
e
energy
s
ou
rces,"
20
16
IEE
E
7
t
h
Po
we
r
Ind
i
a
I
n
te
r
n
at
io
na
l C
o
nf
e
r
e
n
c
e
(
P
I
I
C
O
N
)
, B
ikan
er, pp
.
1
-6, 2
01
6.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN: 2088-
8694
I
nt
J
P
ow
Elec
& Dr
i
S
y
st, Vol. 10,
N
o.
1, Mar
c
h 2
0
1
9
:
30
0 –
30
6
30
6
[5]
M
a
nj
u
aggarw
al,
M
a
dh
us
udan
s
i
n
g
h
an
d
S
.
K.
G
u
p
t
a,
”
F
a
ul
t
rid
e
t
hr
ou
gh
cap
abil
ity
of
D
ST
ATCOM
f
o
r
distrib
u
t
e
d
wi
nd
g
eneration
syste
m
,”
i
n
inte
rn
atio
nal
j
ourn
a
l
of
p
ower elec
tro
n
i
c
s
a
nd
d
rive
s
y
s
te
m
s
(IJP
E
D
S
),
v
ol.
6
,
n
o.
2
,
p
p
.
34
8-3
55,
ju
n
e
2
0
1
5
.
[6]
S
.
N
agaraj
arao,
D.V.As
ho
k
kumar
a
n
d
C
H
.
S
a
i
bab
u
,”
I
nt
egrat
i
on
o
f
reversi
ng
vol
t
age
multilevel
inverter
t
opol
ogy
with
h
ig
h
vo
lta
g
e
g
a
i
n
b
o
o
s
t
c
onve
rte
r
f
or
d
is
trib
u
t
e
d
g
e
n
e
r
a
t
i
on,”
i
n
internationa
l
j
o
urna
l
o
f
p
o
w
er
e
l
ectro
nics
a
n
d
dri
v
e
s
y
stems,
v
o
l
.
9,
n
o.
1
,
p
p
.
2
1
0
-2
19,
m
arch
2
01
8.
[7]
J.
A
.
G.
C
araro
et al
.
,
"
Opt
i
miz
i
ng
o
f
the
i
n
ser
tion
of
d
is
tri
b
u
t
ed
g
enerati
o
n
into
a
power
d
istr
ibution
net
w
ork
,
"
20
17
CHIL
EA
N
Co
n
f
eren
c
e
o
n
El
ectr
i
cal, El
ectr
o
n
i
cs E
ngi
neerin
g, Inf
o
r
m
ati
on a
n
d
Co
mm
uni
ca
t
i
o
n
T
echn
o
lo
gi
es (
C
H
I
L
E
CON)
,
Pu
c
o
n, Ch
ile, p
p.
1-
6
, 20
1
7
.
[8]
K.
W
ang,
X
.
Wu
,
F
.
L
i
u
,
Y.
W
ang
and
R.
Z
hu
,
"
C
as
c
a
d
e
d
H
-
br
id
ge
m
u
lti
l
evel
c
on
verter
t
opo
lo
gy
f
o
r
l
arge-s
cale
ph
ot
ovo
lt
aic
s
y
stem
w
ith
b
alan
c
e
d
o
p
erati
o
n
,
"
IECON 2
0
1
7
-
43
rd
An
nual Co
nf
erence o
f
t
h
e IEEE Ind
u
stria
l
El
ectro
n
i
cs
S
o
ciety
,
Beiji
ng,
C
h
i
na,
pp
.
64
52
-64
5
7
,
2
0
1
7
.
[9]
V.
C
astigl
i
a,
P
.
Li
vreri
,
R
.
Mi
celi,
A
.
Raci
ti,
G
.
Schettino
an
d
F.
V
iola,
"P
erf
o
rmances
o
f
a
t
h
ree-p
h
ase
f
i
v
e
-lev
el
cascad
e
d
H
-brid
g
e
in
verter
w
it
h
ph
ase
s
h
if
ted
B-sp
li
ne
b
ased
m
o
d
u
l
a
ti
on
tech
niq
u
es
,
"
20
17
IEE
E
6
t
h
Intern
a
t
io
na
l
Con
f
eren
ce on
R
e
n
e
wab
l
e En
ergy R
e
search an
d Ap
pl
ica
t
i
ons
(
I
CR
ER
A)
,
San
Diego,
C
A,
U
SA,
pp
.
1
192
-11
9
7
, 2
017
.
[10]
Y. Yu
,
G
.
Kon
s
t
a
ntino
u
,
C
. D
.
To
wn
sen
d
,
R
.
P.
A
g
u
i
l
era
an
d
V.
G
. Ag
e
lidis, "Del
t
a-Con
n
ect
ed Cas
caded H-Brid
g
e
Multilevel
Con
v
erters
f
or
L
arge-S
cal
e
Phot
o
v
ol
ta
ic
G
rid
Integra
tion
,"
i
n
I
E
EE T
r
an
sa
c
t
i
o
n
s
on
In
du
strial
El
ectro
n
i
cs
,
vol.
6
4
,
no.
11,
p
p
.
8
8
77-8
8
8
6
,
Nov.
2
01
7.
[11]
M
.
K
.
Ng
uy
en
a
nd
T.
T
.
Tran,
"
Q
uas
i
C
as
cade
d
H
-Brid
g
e
F
i
ve-L
eve
l
Bo
ost
In
ve
rte
r
,"
i
n
IEEE T
r
an
sa
cti
o
n
s
on
Ind
u
s
t
r
i
a
l
El
ectron
i
cs
, v
ol
.
6
4
, n
o. 11
,
p
p
. 8
52
5-
8
5
3
3
,
Nov
.20
1
7
.
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