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.
3, S
ep 2019,
pp.
1
5
0
0
~1
5
0
9
ISSN: 2088-
8694,
DOI
:
10.11591
/ijpeds.
v10.
i
3.pp1500-1509
1500
Jou
rn
a
l
h
o
me
pa
ge
:
ht
tp:
//i
a
e
score
.
com
/
j
o
u
r
na
l
s
/
i
n
d
e
x
.
p
hp/IJ
PED
S
Experimental verification of th
ree p
h
ase quasi switched boost
inverter with an
i
m
proved PW
M control
P.S
r
iram
ala
k
sh
mi, Sr
eed
evi V
.
T.
S
c
ho
ol
o
f Elect
rical
E
ngin
eering
,
V
ell
o
re Inst
itute
o
f
Technolo
gy
, I
n
d
ia
Art
i
cl
e In
fo
ABSTRACT
A
r
tic
le hist
o
r
y
:
R
e
c
e
i
v
e
d
No
v
1
9
,
2
018
Re
vise
d Mar
6,
201
9
Ac
ce
p
t
ed
M
ar 2
6
,
2
019
In
t
h
i
s
pap
e
r,
a
n
exp
e
rim
e
n
t
al
i
n
v
esti
ga
t
i
o
n
o
f
a
t
h
ree
ph
ase
q
uasi
S
wi
tched
Boo
s
t
Invert
er
(
qS
BI)
t
opolo
g
y
is
p
ro
po
s
e
d
an
d
an
aly
s
ed
w
it
h
an
i
m
p
ro
ved
P
u
l
s
e
W
i
d
t
h
Mo
du
lati
on
s
t
r
ate
g
y
.
T
h
e
q
S
B
I
is
capab
le
o
f
pr
ov
id
i
ng
b
o
t
h
bo
os
t
and
in
vers
io
n
actio
ns
i
n
a
s
i
n
g
l
e
s
tage.
Th
e
im
pro
v
ed
P
WM
c
o
n
t
r
o
l
te
c
h
n
i
q
u
e
c
a
n
p
ro
vide
a
h
ig
he
r
b
o
o
s
t
w
ith
t
h
e
r
e
d
uce
d
d
uty
ra
ti
o.
T
he
th
eoret
i
cal
a
nal
y
s
i
s
pres
ent
e
d
in
t
his
w
o
rk
i
s
valida
t
ed
u
s
i
n
g
an
e
x
p
eri
m
ental
se
t
u
p
o
f
1
0
0
W
q
SBI
to
po
lo
gy
a
n
d
h
a
r
dwa
r
e
re
su
lts
a
r
e
sh
own
for
veri
ficati
on.
T
he
i
m
p
roved
PWM
st
ra
tegy
i
s
im
ple
m
ented
and
firi
ng
pulses
are
gen
e
rated
in
F
PG
A
S
P
AR
TAN
3
E
k
it
.
Wi
th
t
he
d
uty
rat
i
o
of
0
.
05,
t
h
e
peak
a
c
l
o
ad
v
o
l
t
a
ge
o
f
8
0
V
i
s
ob
tai
n
ed.
Th
e
p
e
rf
orm
a
nce
of
t
h
ree
ph
a
s
e
qS
BI
i
s
an
alys
ed
w
ith
b
ot
h
conv
ent
i
o
n
a
l
P
WM
s
t
r
ateg
y
and
i
m
p
r
ov
ed
P
WM
stra
te
gy
.
Th
e
ob
se
rv
a
t
io
ns
a
re
p
re
se
nta
t
e
d
in
de
ta
il.
K
eyw
ord
s
:
Pu
l
s
e
wi
d
t
h
m
o
dul
a
tio
n
Q
u
asi sw
i
t
che
d
boost
in
ve
rter
S
hoo
t t
h
ro
ug
h
Sim
p
l
e
boos
t
control
S
w
itche
d bo
os
t
inver
t
er
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:
P.Sr
i
r
am
alaksh
mi,
S
c
hoo
l
o
f
Ele
c
t
rica
l
En
gine
erin
g,
V
e
ll
ore
Instit
ut
e
of Te
c
hn
o
l
o
g
y
, Che
nna
i
,
India
Em
ail:srira
ma
la
ks
hmi.p@
vi
t.a
c
.in
1.
I
N
TR
OD
U
C
TI
O
N
The
va
s
t
g
row
t
h
o
f
s
usta
ina
b
l
e
e
nerg
y
s
our
ce
s
l
i
ke
s
ol
a
r
,
fue
l
c
e
l
ls,
w
i
nd
a
nd
ge
othe
r
m
a
l
e
nerg
y
etc.
,
ar
e
gain
in
g
t
h
e
ma
jo
r
i
n
tere
st
a
mo
ng
most
o
f
t
h
e
re
sear
cher
s
due
t
o
the
re
d
u
c
t
i
on
o
f
f
o
ssi
l
fue
l
s
an
d
ot
her
c
o
n
v
e
n
t
i
ona
l
e
n
er
g
y
s
o
u
rce
s
[
1].
D
e
sign
i
n
g
a
s
u
i
t
a
b
l
e
p
ow
e
r
e
l
e
c
t
ro
ni
c
c
onv
ert
e
r
i
s
t
h
e
m
aj
o
r
t
a
s
k
i
n
trans
f
or
min
g
t
he
a
v
a
i
l
a
b
l
e
D
C
pow
er
t
o
A
C
pow
e
r
i
n
th
e
ca
se
o
f
so
la
r
PV
s
ystem
s
.
Wit
h
t
he
h
e
l
p
o
f
a
trad
it
iona
l
t
h
ree
pha
se
V
o
lta
ge
S
ourc
e
I
n
v
e
rte
r
s
(V
S
I
)
[2,
3]
,
t
h
e
av
a
i
l
a
b
l
e
DC
volta
g
e
i
s
in
v
e
rt
ed
t
o
a
reduc
e
d
v
o
l
ta
ge
l
e
v
e
l
.
Whe
n
e
v
er
t
he
o
ut
pu
t
v
o
l
t
a
ge
r
eq
u
i
rem
e
nt
is
m
ore
tha
n
t
he
a
va
ila
b
l
e
D
C
vol
t
a
ge
,
a
bo
ost
in
ve
rter
n
eed
s
t
o
b
e
c
o
nne
c
t
e
d
w
h
i
ch
f
orm
s
a
t
w
o
s
t
a
ge
p
o
w
e
r
c
onvers
io
n.
I
t
als
o
i
ncre
ases
t
he
c
ost,
si
z
e
a
nd
w
e
ig
h
t
o
f
the
c
o
nver
t
e
r
.
Bo
t
h
t
he
d
evice
s
i
n
a
s
i
n
g
le
l
e
g
s
h
o
u
l
d
no
t
be
s
w
itc
he
d
o
n
a
t
the
sa
m
e
time
.
El
e
c
t
r
o
M
a
gn
et
i
c
I
nt
e
rfe
ren
c
e
(EM
I),
d
ea
d
t
i
m
e
,
s
h
oot
t
h
r
ou
gh
a
r
e
t
h
e
o
t
h
er
m
ajor
i
ssu
es
i
n
t
r
a
d
iti
ona
l
V
S
I
[
4
].
To
e
lim
ina
t
e
the
c
o
mple
x
tw
o
s
t
a
g
e
st
r
u
ct
u
r
e,
I
mpe
d
ance
S
ource
Inverte
r
(
ZSI
)
i
s
prop
ose
d
i
n
20
0
2
[5].
T
he
m
od
ified
to
p
o
lo
g
i
es
o
f
ZS
I
l
i
ke
,
a
class
o
f
q
uasi
Z
S
I
(q-
Z
SI)
[
6],
e
x
tende
d
b
o
o
st
Z
S
I
/
q-
ZS
I
[7]
,
Tran
s
Z
So
u
r
ce
I
n
v
e
rt
e
r
(
Tran
s
ZSI)[
8
]
a
r
e
p
r
es
ent
e
d
to
o
b
t
ain
co
n
t
i
n
uous
i
n
p
u
t
c
ur
rent.
In
t
ra
d
i
t
i
o
n
a
l
ZS
I
,
in
duc
t
o
r
s
a
re
r
eplac
e
d
b
y
sw
itc
h
e
d
ind
u
c
t
or
c
ell
s
t
o
ob
ta
i
n
a
h
i
g
her
b
o
o
s
t
[9].
T
he
t
ap
pe
d
i
n
duc
t
o
r
ZS
I
(TL-
ZS
I
[10
]
),
TZ-S
ource
I
nverte
r
(
TZSI)
[11]
p
o
sse
ss
a
l
l
t
he
a
dva
n
t
a
ge
s
o
f
t
r
a
di
tio
na
l
ZS
I
by
usi
ng
t
r
ans
f
o
r
m
e
r
.
There
a
r
e
ca
sc
ade
d
TZS
Is,
alter
n
a
t
e
casc
a
de
d
swit
c
h
e
d
/
tap
p
e
d
i
n
d
u
ct
or
c
e
l
l
s
,
ca
scade
d
m
ulti
cel
l
T
r
an
s
ZSIs
are
availa
b
l
e
i
n
l
i
t
e
r
a
t
ure
[
1
2
-
16].
All
the
Z
S
I
t
opo
l
o
g
i
es
a
re
o
f
bu
lky,
h
e
a
vy
a
nd
of
l
ar
ge
v
ol
ume
d
u
e
t
o
t
h
e
prese
n
ce
of
l
a
r
ge
v
a
l
ue
o
f
pa
ss
ive
e
l
em
e
n
t
s
.
H
e
nc
e
i
t
r
esul
t
s
i
n
h
i
gh
e
r
l
oss
a
n
d
re
duce
d
e
ff
ic
ien
c
y.
T
o
o
v
e
rc
o
m
e
t
h
e
af
o
r
emen
t
i
on
ed
i
ss
u
e
s
Swit
ch
e
d
B
o
o
st
I
nve
rt
er
(
SB
I
)
a
nd
va
ri
o
u
s
m
o
d
u
l
a
t
i
o
n
a
lg
ori
t
hms
of
S
B
I
are propos
ed
by re
sear
ch
er
s
in [1
7
-20]
.
A
c
l
a
s
s
of
qua
si-S
BI
s
(
q
S
B
Is)
is
s
ug
ges
t
ed
i
n
[
21]
t
o
ha
ve
c
on
t
i
nuo
us
c
u
rren
t
p
ro
fi
l
e
.
Th
e
q
S
BI
h
a
s
a
re
duce
d
c
o
unt
o
f
pass
i
v
e
ele
m
e
n
ts
a
nd
t
he
f
e
a
t
u
res
a
r
e
simi
la
r
t
o
t
ha
t
of
Z
S
I
.
A
Cur
r
ent
F
e
d
S
w
itc
he
d
Evaluation Warning : The document was created with Spire.PDF for Python.
Int J
P
o
w
E
l
e
c
&
D
ri S
yst
IS
S
N
:
2088-
86
94
Exper
i
m
e
ntal
verification of
thr
e
e phase
quasi
swit
ched boost i
n
ver
t
er
.
..
(P.
S
ri
ram
a
laks
hmi)
1
501
In
v
e
rt
er
(
CFS
I
)
i
s
s
ugg
est
e
d
in
[
22
].
T
h
e
C
F
S
I
h
a
s
t
h
e
bo
ost
fa
c
t
o
r
(
1
-
D
)
t
i
m
e
s
h
i
g
h
e
r
t
h
a
n
S
B
I
.
T
o
p
r
o
d
u
c
e
hi
gh
vol
tag
e
g
ain,
C
F
S
I
needs
t
o
b
e
opera
t
e
d
at
h
i
g
h
s
h
oo
t
thr
o
u
g
h
dut
y
r
a
tio
w
hic
h
r
e
s
ul
ts
i
n
re
duce
d
modu
la
ti
o
n
i
n
d
e
x.
S
w
itche
d
ind
u
c
t
or
a
nd
s
w
itc
he
d
c
a
pac
itor
ba
se
d
boo
st
i
nv
e
r
t
e
r
t
opo
lo
gi
es
a
re
p
rop
o
s
e
d
i
n
[2
3-2
4
].
S
inc
e
t
he
c
on
ve
n
t
i
o
nal
S
BC
co
n
t
rol
st
r
a
teg
y
h
as
r
estri
c
t
i
o
n
on
it
s
mod
u
l
a
t
i
on
i
nd
e
x
,
a
mo
d
i
fi
ed
c
o
nt
rol
alg
o
r
i
t
h
m
i
s
p
r
opo
sed
i
n
[
25
]
to
e
xt
e
n
d
th
e
modul
a
t
io
n
in
de
x.
A
s
i
n
gle
p
h
ase
q
u
as
i
S
B
I
to
p
o
l
ogy
i
s
ana
l
yse
d
w
ith
t
he m
odi
fied S
BC
t
e
ch
n
i
q
u
e i
s
pr
e
sente
d
i
n
[25].
I
n
t
hi
s
pa
per
,
a
t
hre
e
p
hase
q
uas
i
S
BI
w
it
h
a
n
i
m
p
rove
d
s
i
m
p
l
e
b
o
o
s
t
PWM
st
rat
e
gy
i
s
di
s
c
uss
e
d
t
o
re
so
lv
e
t
h
e
d
r
a
w
b
a
ck
o
f
red
u
ced
m
odu
lat
i
on
i
nd
ex
.
C
o
mp
a
r
e
d
t
o
t
he
c
on
ve
nti
o
n
a
l
S
B
C
me
th
od,
t
he
impro
v
e
d
P
WM
t
ec
h
n
i
q
ue
c
an
o
ffe
r
a
h
i
gh
ga
in
u
si
n
g
a
reduc
ed
s
h
o
o
t
t
h
ro
u
gh
dut
y
ra
tio
a
n
d
h
i
g
her
modu
la
ti
o
n
i
n
d
ex.
S
o
t
he
s
t
r
ess
across
the
switches,
d
iodes
and
c
a
p
ac
i
t
ors
are
reduc
ed
s
i
g
ni
fica
n
t
ly.
I
n
t
h
i
s
modi
fie
d
P
WM
c
on
t
r
o
l
,
t
h
e
sw
itc
h
S
0
i
s
ga
t
e
d
du
ring
t
he
a
c
t
i
v
e
st
a
t
e
of
t
h
e
i
n
v
e
rt
e
r
c
i
r
cui
t
.
A
10
0
W
t
h
ree
pha
se
q
S
B
I
t
o
po
log
y
i
s
de
ve
lo
pe
d
a
n
d
t
e
ste
d
w
i
t
h
a
n
inp
u
t
v
olta
ge
o
f
36
V
.
The
t
o
po
l
o
gy
w
i
th
t
he
i
m
p
ro
ved
P
W
M
pr
ov
i
d
e
s
t
he
b
o
o
ste
d
d
c
v
o
lta
ge
o
f
80
V
a
nd
t
h
e
boos
t
fac
t
o
r
of
2
.22
w
h
er
eas
t
he
t
r
a
d
i
t
i
o
n
al
P
WM
offe
rs
t
he
boos
t
fac
t
or
o
f
on
l
y
1
.11.
T
he
i
n
v
e
r
ter
t
o
p
o
l
o
gy
i
s
s
i
mulated
i
n
M
A
TLAB/SI
MULINK
env
i
ro
nm
en
t a
n
d
i
t
i
s
va
l
i
da
te
d by
ex
per
i
m
e
nta
tio
n.
T
he
e
x
p
erim
e
n
t
a
l
re
su
lt
s a
r
e p
r
ese
n
te
d
i
n
d
et
ail
.
2.
TH
R
E
E
P
H
A
S
E
qS
BI
T
O
P
O
L
O
G
Y
The
s
i
ng
le
p
ha
se
q
S
B
I
is
p
ro
pos
ed
i
n
[2
1].
F
i
gure
.
1
s
h
ow
s
the
c
irc
u
it
di
agra
m
of
t
hr
ee
p
h
a
s
e
qS
B
I
to
pol
o
gy.
I
t
i
n
clu
d
es
a
n
i
n
du
ctor
L
,
a
ca
p
a
ci
to
r
C
,
t
w
o
pa
ssi
v
e
s
w
itc
he
s
)
D
,
D
(
2
1
,
sev
e
n
ac
t
i
ve
s
w
i
tche
s
)
S
S
(
6
0
and
a
resistive
load.
An
LC
fi
l
t
e
r
i
s
c
o
n
n
ec
te
d
at
t
he
i
n
v
er
t
e
r
out
p
u
t
t
e
rm
ina
l
t
o
filte
r
o
ut
t
he
harm
on
ics pr
esent i
n
t
he
i
nver
t
er
ou
t
p
u
t
v
o
lta
ge
.
F
i
gure
1.
T
hree
phase
q
uasi s
w
itc
he
d b
o
o
s
t
i
nve
r
t
er
3.
MODIFI
ED
S
BC MODULATIO
N
STRATEGY
In
c
on
v
e
nti
o
nal
SBC
me
thod
,
ref
e
re
n
c
e
si
gn
a
l
s
are
c
o
mp
are
d
w
it
h
t
r
i
a
n
g
u
la
r
c
a
r
r
i
e
r
s
ig
n
a
l
t
o
gene
ra
te
p
u
l
se
s
for
the
i
n
ver
t
e
r
s
w
i
t
c
hes.T
h
e
p
o
s
iti
ve
a
n
d
n
e
g
a
tive
e
n
v
e
lo
ps
a
re
c
om
par
e
d
w
ith
t
ria
n
g
u
l
ar
signa
l
t
o
g
ener
ate
sh
o
o
t
t
h
rou
gh
pu
lses.
T
he
s
hoo
t
t
h
ro
u
gh
pu
lse
s
a
r
e
OR
e
d
w
i
t
h
t
h
e
b
rid
g
e
i
nv
ert
e
r
p
u
ls
es
t
o
pro
duce
b
o
o
sti
ng
ac
t
i
o
n
.
The
im
prove
d
P
W
M
con
t
ro
l
s
t
rate
gy
is
i
llus
t
rate
d
in
F
ig
ure
2(
a)
[
25].
A
shoot
t
h
ro
ugh
e
nv
elo
p
sh
V
i
s
c
om
par
e
d
w
i
t
h
a
h
i
g
h
freque
nc
y
repe
atin
g
se
qu
e
n
c
e
saw
V
(
saw
tooth
waveform
)
of
ma
gni
tude
2
t
o
ob
ta
in
t
h
e
p
u
l
se
f
or
t
he
b
oo
s
t
n
e
t
w
o
r
k
s
w
i
tc
h.
A
ga
in
t
he
s
ho
o
t
t
hr
o
u
g
h
e
nve
l
op
i
s
c
o
m
pa
red
w
ith
t
he
r
epe
a
t
in
g
se
que
nce
1
(triang
u
l
ar
c
a
rrier
pul
se)
of
d
ou
bl
e
th
e
fre
que
n
c
y
t
o
g
en
e
r
a
t
e
t
h
e
shoo
t
th
ro
ugh
pu
l
s
e
.
T
he
n,
s
i
nus
o
i
da
l
m
o
du
l
a
t
i
ng
s
i
gn
a
l
s
a
r
e
com
p
ar
ed
w
ith
t
h
e
re
pea
t
i
n
g
se
q
u
e
n
ce
2
(
tria
ng
u
l
ar
c
arr
i
e
r
pu
lse
)
t
o
ge
ne
rate
t
he
f
ir
in
g
p
u
l
s
es
f
or
t
he
i
n
v
e
r
ter
sw
itc
hes
S
1
t
o
S
6
.
F
i
n
a
l
l
y,
s
h
o
o
t
t
hro
u
gh
s
i
g
n
a
l
s
ar
e
adde
d
in
to
t
he
s
igna
ls
o
f
t
h
e
sw
itc
hes
i
n
t
he
H
-bri
dge
t
o
o
p
er
ate
a
l
o
ng
w
ith
t
he
b
oost
i
n
v
e
rte
r
s
w
itc
h
0
S
.
T
h
e
con
t
ro
l l
o
g
i
c is
show
n
in
F
ig
u
r
e
2(b).
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N: 2
0
8
8
-
86
94
I
n
t
J Po
w
Elec
&
Dr
i
Sy
st,
Vo
l. 1
0
,
No
. 3
,
S
e
p
2
019
:
1
5
0
0
–
1
509
1
502
F
i
gur
e
2.
(
a)
M
od
if
i
e
d
simp
le
b
o
o
s
t
c
o
n
tr
o
l
P
WM
F
i
gur
e
2.
(
b)
C
on
tr
o
l
l
og
ic
d
ia
gr
am
4.
STEADY
ST
AT
E A
NAL
Y
S
IS
O
F
TH
REE PHASE qSBI
Wi
t
h
t
he
c
o
n
v
e
nt
i
ona
l
P
W
M
tec
h
n
i
que,
t
h
e
cir
c
u
i
t
ca
n
o
p
e
r
a
t
e
i
n
t
w
o
m
ode
s
[
21]
.
O
n
e
is
t
he
s
ho
ot
thr
o
u
g
h
s
ta
te
d
uri
n
g
wh
i
c
h
a
l
l
t
h
e
ac
ti
ve
d
e
v
ice
s
i
n
the
c
i
r
c
ui
t
r
e
m
a
ins
o
n
.
The
ot
her
m
ode
i
s
the
no
n
-
s
ho
ot
thr
o
u
g
h
s
ta
te
d
ur
i
ng
w
h
ich
th
e
inve
r
t
er
w
or
ks
a
s
the
c
o
n
v
e
n
t
i
on
a
l
V
S
I
.
W
h
e
n
t
h
e
i
n
v
e
r
t
e
r
i
s
a
n
a
l
y
s
e
d
w
i
t
h
t
h
e
modi
f
i
ed
b
o
o
s
t
c
o
nt
r
o
l
me
t
hod
;
th
e
r
e
ar
e
t
h
ree
di
f
f
e
r
e
n
t
o
p
e
r
a
t
i
n
g
m
ode
s
nam
e
l
y
,
sho
o
t
t
hr
o
u
g
h
s
ta
te
,
a
c
ti
ve
s
ta
te-
1
a
nd
ac
ti
ve
s
t
a
te-
2
a
s
show
n
in
F
igur
e
3.
(
a
)
(b
)
(c)
F
i
gur
e
.
3.
oper
a
ti
ng
mode
s
of
t
hr
ee
phase
q
S
B
I
a)
S
hoo
t
t
h
r
o
ug
h
sta
t
e
b)
Acti
ve
s
ta
t
e
-1
c)
Acti
ve
state-2
4.
1.
S
h
oot
t
h
r
ou
gh
s
t
a
t
e
Du
ri
ng
s
ho
o
t
-th
r
ou
gh
s
t
a
t
e
[
2
1
T
T
],
a
ll
i
nver
t
e
r
b
rid
g
e
sw
it
ches
(
6
1
S
S
)
ar
e
on
a
l
on
g
w
i
t
h
t
h
e
bo
os
t
ne
t
w
or
k
sw
itc
h
(
)
S
0
as
s
how
n
i
n
F
ig
ur
e
3(
a
)
.
Bo
th
t
h
e
d
i
ode
s
2
1
D
,
D
a
r
e
r
e
v
e
r
s
e
b
i
a
s
e
d
.
T
h
e
i
ndu
c
t
o
r
(
1
L
)
i
s
char
ge
d
by
the
c
a
pac
i
t
o
r
(
1
C
)
alon
g
w
i
t
h
t
he
i
n
p
u
t
D
C
sour
ce
(
1
V
).
C
1
L
V
V
V
(
1
)
L
C
I
I
(
2
)
Evaluation Warning : The document was created with Spire.PDF for Python.
Int J
P
o
w
E
l
e
c
&
D
ri S
yst
IS
S
N
:
2088-
86
94
Exper
i
m
e
ntal
verification of
thr
e
e phase
quasi
swit
ched boost i
n
ver
t
er
.
..
(P.
S
ri
ram
a
laks
hmi)
1
503
4.2.
A
c
t
ive stat
e-1
D
u
r
i
n
g
n
o
n
-
s
hoo
t-t
h
ro
ug
h
s
t
ate
1
[
3
2
T
T
],
s
w
itch
0
S
is
t
ur
ned
of
f
a
s
s
ho
w
n
i
n
F
i
g
u
re
3
(b).
T
h
e
in
duc
t
o
r
disc
h
a
r
g
es
t
hro
u
gh
the
ca
pac
i
tor
a
n
d
t
h
e
d
u
rat
i
o
n
f
or
th
is
i
nt
e
r
val
i
s
2
/
T
)
D
1
(
S
.
D
u
ring
t
h
is
mode
pow
e
r
flow
s
t
hr
o
u
g
h
t
h
e load
C
1
L
V
V
V
(
3
)
PN
L
C
I
I
I
(
4
)
4.3.
A
c
t
ive stat
e-2
D
u
r
i
n
g
n
on-
shoo
t-t
h
ro
ug
h
s
t
ate
2
[
1
0
T
T
]
,
s
w
itch
0
S
is
t
ur
ned
on
as
s
how
n
i
n
F
igure
3
(
c
),
a
nd
t
h
e
i
n
v
e
rt
e
r
c
i
r
cu
i
t
op
e
r
at
es
i
n
co
nv
en
ti
o
n
a
l
st
at
e
s
.
Th
e
swi
t
c
hi
n
g
p
er
io
d
is
s
am
e
a
s
t
hat
i
n
t
he
n
o
n
-
sho
o
t-
thr
o
u
g
h
state
1
.
1
L
V
V
(
5
)
A
p
p
l
y
i
ng
v
o
lt
se
co
nd ba
l
a
nce
using
(1)-(
5),
The
capa
c
i
t
o
r vo
l
t
age
is
g
ive
n
by,
1
C
V
D
3
1
2
V
(
6
)
Inver
t
e
r
i
n
p
u
t
c
u
rrent
i
s
g
i
ve
n by,
L
inv
I
)
D
2
1
(
2
D
3
1
I
(
7
)
P
e
ak D
C
l
i
n
k
v
ol
ta
ge
is der
i
ve
d as,
1
C
PN
V
D
3
1
2
V
V
(
8
)
Boos
t fac
t
or
i
s
gi
ve
n a
s
,
D
3
1
2
V
V
B
1
PN
(
9
)
The
e
x
pr
ess
i
on
f
or
t
he
R
MS
o
u
t
pu
t
v
o
lta
ge
o
f
thr
ee
p
h
a
s
e
qS
BI
w
i
t
h
t
r
ad
iti
ona
l
S
B
C
mod
u
l
at
i
o
n
s
t
ra
te
gy
i
s
gi
ve
n by,
2
2
1
.
D
2
1
1
V
.
M
.
3
2
2
1
V
.
B
.
M
3
rms
V
(
1
0
)
S
i
m
i
la
rl
y, the
expr
ess
i
on
for
t
h
e
rm
s line
v
o
ltage
w
i
t
h im
p
r
ove
d P
W
M is
g
i
v
e
n
by,
2
2
1
V
.
D
3
1
2
.
M
3
2
2
1
V
.
B
.
M
3
rms
V
(
1
1
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN: 2088-
8694
Int J
P
o
w
El
e
c
&
D
ri S
yst
,
V
ol.
10,
N
o.
3
, S
e
p
2
0
1
9
:
150
0
– 1
509
1
504
5.
P
A
SS
I
V
E
C
O
M
P
O
N
EN
T
S
D
E
S
I
G
N
The
pa
ss
ive co
m
pone
n
t
s,
i
nd
ucta
nce a
n
d ca
pa
ci
t
a
nce
in t
h
e
qS
B
I
to
po
l
o
g
i
es
a
re ch
o
se
n base
d o
n
th
e
H
i
g
h
F
reque
nc
y(H
F
)
peak
–pea
k
r
i
p
p
l
e
c
o
n
t
e
n
t
i
n
i
nd
u
c
tor
curr
en
t
a
nd
H
i
g
h
F
reque
nc
y(H
F
)
pe
ak-
p
e
a
k
rip
p
le
o
n
ca
pa
cit
o
r
v
o
l
ta
ge
[
25].
The
r
i
p
p
l
e
con
t
e
n
t
prese
n
t
i
n
t
h
e
i
n
duc
t
o
r
c
u
rre
nt
(
∆I
L
)
an
d
i
n
t
h
e
cap
a
c
i
t
o
r
vo
lta
ge
((∆V
L
)
are
ca
l
c
ul
at
e
d
b
y
r
L
%
and
r
C
%
respe
c
t
i
ve
l
y
.
The
perc
en
ta
ge
o
f
r
i
p
p
le
c
o
n
te
n
t
i
s
ca
lcu
l
a
t
e
d
by
the f
o
l
l
ow
i
n
g e
q
u
a
t
i
o
n
s.
L
I
0
P
)
D
3
1
%(
L
r
2
T
)
D
3
1
)(
D
1
(
2
V
L
g
(
1
2
)
L
I
2
V
%
C
r
8
0
TP
)
D
3
1
)(
D
1
(
C
1
(
1
3
)
The
rip
p
l
e
i
n
d
u
ct
or c
urre
nt
a
nd
ri
pple
ca
pac
i
t
o
r
vol
tage
a
re
o
b
ta
i
n
e
d
a
s
fo
l
l
o
w
s,
L
I
)
D
3
1
(
L
2
T
)
D
3
1
)(
D
1
(
V
L
I
g
(
1
4
)
C
4
T
)
D
1
(
I
C
V
L
(
1
5
)
For
the
modifi
ed
S
BC
P
WM
s
chem
e,
the
p
eak
v
al
ues o
f
LF
(Low
F
re
que
ncy)
ind
uc
tor c
u
rre
nt
a
n
d
t
he
LF
ca
paci
t
o
r vo
lta
ge
ar
e
c
alcula
t
e
d
as
[
25],
2
)
D
3
1
(
2
LC
16
m
MI
)
D
3
1
(
P
_
L
i
(
1
6
)
2
)
D
3
1
(
2
LC
16
m
LMI
4
P
_
C
V
(
1
7
)
The
va
lue
s
o
f
pass
i
v
e
c
o
m
pone
n
t
s
a
r
e
ca
lc
u
l
ate
d
a
s
per
th
e
e
x
pr
essi
o
n
s
gi
ve
n
i
n
(
1
2
)
a
n
d
(1
3)
[
25].
The peak
va
l
ue
s can be ob
t
a
i
n
e
d
b
y su
bs
ti
tut
i
ng t
h
e se
lec
t
e
d
in
d
u
c
t
ance
a
n
d
c
a
p
ac
ita
nc
e int
o
(
1
4
)
a
n
d
(1
5)
. If
t
h
e
p
e
ak
v
al
ues
of
LF
ripp
le
a
re
i
n
t
h
e
des
i
re
d
r
a
nge,
the
va
lue
s
c
alc
u
late
d
a
r
e
t
h
e
des
i
red
o
n
e.
I
f
t
h
e
va
lue
s
exc
eed
t
he
l
i
m
it,
t
he
v
a
l
ues
o
f
p
a
ssi
ve
e
lem
e
nt
ss
n
eed
t
o
be
i
n
cr
ease
d
,
a
n
d
nee
d
t
o
be
r
e-c
h
ec
ked
(
1
6
)
a
n
d
(17)
t
i
ll t
h
e
va
l
u
es r
eac
h the
d
e
sired
range
.
6.
SIMULATIO
N
R
E
S
ULT
S
The
t
o
po
l
o
g
y
i
s
sim
u
la
t
e
d
i
n
M
A
TLA
B/S
I
MU
LIN
K
envi
ronm
en
t.
T
he
s
imula
t
i
on
pa
ram
e
ter
s
o
f
t
h
e
three
p
h
ase
qS
B
I
a
re
l
iste
d
i
n
T
able.
1
.
The
i
npu
t
v
o
l
t
a
g
e
is
t
a
ke
n
a
s
36
V
and
t
h
e
i
n
duc
t
o
r
c
u
rre
nt
w
hi
c
h
i
s
con
n
ec
ted
i
n
s
er
i
e
s
wit
h
t
h
e
d
c
s
ource
i
s
o
b
serve
d
a
s
2.9
A.
I
t
i
s
sh
ow
n
i
n
F
i
gure
.
4
(
a
).
T
he
v
o
lta
ge
s
tress
ac
ross
d
i
ode
s
and
t
h
e
b
oos
t
ne
t
w
or
k
sw
itc
h
are
o
b
t
ai
ne
d
as
8
0
V
a
s
sh
ow
n
i
n
F
ig
ure.
4
(
b
).
T
he
c
a
p
acit
o
r
vo
lta
ge a
n
d
b
o
o
s
t
e
d
dc
l
i
nk
v
o
lta
g
e
a
re
obt
a
i
ne
d a
s
80V
a
s ob
ta
ined in
Figure.
4
(c)
.
The
si
m
u
la
te
d
w
a
vefor
m
o
f
un
fi
lte
red
pe
a
k
l
oad
c
u
rrent
i
s
sh
ow
n
i
n
F
i
gure
.
4(d).
The
pea
k
l
i
n
e
vo
lta
ge
i
s
ob
ta
ine
d
a
s
150
V
at
a
r
e
duce
d
d
uty
ra
t
i
o
o
f
0
.0
5
w
h
ich
i
s
p
re
se
nte
d
i
n
F
i
g
u
re
.
4(e).
The
har
m
oni
c
spec
trum
is ob
t
a
ine
d
a
s
show
n
in
F
igure
.
4
(f).
Tab
l
e.
1.
S
imula
t
i
o
n spe
c
i
fica
t
i
o
n
Pa
r
a
mete
r/C
o
m
p
o
n
e
n
t
s
A
ttribute
s
Inp
u
t volta
ge (
V
g
)
36
V
Ind
u
c
t
a
n
ce
(
L
I
)
1.
3 m
H
C
a
pa
c
i
ta
nc
e
(
C
I
)
680
µF
M
odula
tion
inde
x
(
M
)
0.
95
S
hoo
t
throug
h
dut
y
r
a
ti
o
(
D
)
0.
05
S
w
itc
hing
fre
que
nc
y
(
f
tri
)
S
0
=
20
kHz
S
1
-S
6
=
10kH
z
Evaluation Warning : The document was created with Spire.PDF for Python.
Int J
P
o
w
E
l
e
c
&
D
ri S
yst
IS
S
N
:
2088-
86
94
Exper
i
m
e
ntal
verification of
thr
e
e phase
quasi
swit
ched boost i
n
ver
t
er
.
..
(P.
S
ri
ram
a
laks
hmi)
1
505
(a)
(b)
(c)
(d)
(e)
(f
)
F
i
gur
e 4.
S
i
m
ulat
i
on re
su
l
t
s,
(
a)
S
im
ulate
d
r
esu
l
t
s
o
f so
urc
e
v
ol
tage
,
(b) D
i
ode
an
d
S
w
itc
h
vol
tage
s
tress a
nd
sourc
e
c
urre
nt
,
(
c
) D
C
link
v
o
l
ta
ge
,c
apac
itor
vo
lta
g
e
,
(d)
Load
c
urre
nt
w
av
e
f
orm
s
A
nd in
ve
rter
b
rid
g
e st
re
ss,
(e
). U
nfi
l
t
e
red
loa
d
v
ol
ta
ge
w
ave
f
orm
,
(
f)
Har
m
onic
spec
trum
7.
EX
PERIMENTAL
ANALYSIS
O
F TH
REE PHASE QS
B
I
Th
e
l
a
bo
ra
to
ry
s
et
u
p
o
f
t
h
r
e
e
p
h
a
se
q
S
B
I
to
pol
ogy
i
s
shown
in
F
i
gure.
5
.
The
h
a
rdware
s
et
u
p
is
ma
de
w
it
h
the
sam
e
p
aram
eters
as it is c
o
n
si
der
e
d for t
h
e
sim
u
l
a
tio
ns
.
Ta
ble
2.
H
a
r
dw
are
com
pone
nt
s spec
i
f
icat
i
o
n
C
o
m
pone
nts
M
a
nufac
t
u
r
e
r
A
ttribute
s
S
1
-S
6
M
O
S
F
E
T
(
IR
F
P
460)
500
V,
20
A
,
R
DSo
n
=
0
.2
7
Ω
S
0
M
OS
F
E
T
-
I
R
F
P
4
6
6
8
200
V,
130
A
,
R
DS
o
n
=
8
m
Ω
D
1
,
D
2
D
iode
(
S
T
PS60S
M200C
)
200
V,
60
A
,
V
F
=
0.
7V
F
P
G
A
SPAR
T
AN
3E
-
D
r
ive
r
c
i
r
c
u
it
G
a
t
e
drive
r
(T
LP
250)
0
.
1
µF
,
6
5
V
,
22Ω,
1kΩ
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN: 2088-
8694
Int J
P
o
w
El
e
c
&
D
ri S
yst
,
V
ol.
10,
N
o.
3
, S
e
p
2
0
1
9
:
150
0
– 1
509
1
506
F
i
gure.
6
(a
)
a
n
d
F
i
gur
e.6(
b)
s
how
t
he
p
u
l
se
s
ge
ne
rate
d
fo
r
phas
e
A
and
th
e
boo
st
n
etwo
rk
s
wit
c
h
(S
a
)
i
n
F
P
G
A
pla
t
for
m
.
F
i
gu
re.
6(c
)
show
s
th
at
t
he
i
n
v
e
r
t
e
r
brid
g
e
s
t
ress
.
I
t
i
s
o
b
v
io
us
t
ha
t
the
sw
itc
h
stress
is
e
q
u
al
t
o
t
h
a
t
o
f
t
h
e
dc
l
i
n
k
vo
ltage
s
ince
t
he
d
c
lin
k
v
o
lt
a
ge
i
s
observe
d
a
s
81
V
f
r
o
m
the
Figure.6(d).
T
he
three
p
h
ase
pe
a
k
ac
load
v
o
l
t
a
ge
s of
8
0V
ar
e
o
b
t
a
i
ne
d a
s show
n
in
F
i
g
u
re
.
6(e) a
nd F
i
gu
re
6(
f).
(a)
(b)
(c)
(d)
(e)
(f
)
F
i
gure
6.
Expe
rim
e
nta
l
r
esul
ts,
(a
)P
ul
se
for
pha
se
A
,
(b)
Pul
s
e
f
o
r
b
oo
s
t
n
et
wo
r
k
s
w
i
t
c
h
(
S
a
)
, (
c
)
Volt
a
ge
st
r
e
ss a
c
ross in
ver
t
e
r
sw
itc
h,
(e
)
Loa
d vo
lt
ag
e
w
a
veform
s of
p
h
ase
RY
,
(f) Loa
d v
o
l
t
a
g
e
w
a
ve
form
s of pha
se
RB
Ph
a
s
e
YB
8.
PE
RFORMA
NCE
A
N
A
LYSIS OF THREE PHAS
E
Q
S
B
I
A
p
e
rfor
ma
nc
e
a
n
a
l
y
s
i
s
is
d
o
n
e
o
n
t
hree
p
hase
q
S
B
I
w
ith
t
ra
d
i
t
i
ona
l
S
B
C
c
o
ntr
o
l
st
r
a
te
g
y
a
n
d
i
m
p
r
ov
ed
P
WM
c
on
t
r
ol
s
t
r
ate
g
y
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t
J
P
o
w
Elec
&
D
r
i
S
y
st
I
S
S
N
:
2088-
86
94
Ex
p
e
ri
me
nt
al
v
e
rif
i
cat
i
on
o
f
th
re
e ph
a
s
e
qu
asi
swit
ch
ed
boo
st
i
n
v
e
rt
er .
.
.
(P.
S
r
i
ra
m
a
la
k
s
h
m
i
)
1
507
8.
1.
B
o
o
st
f
act
o
r
(
B)
V
s
S
h
oot
t
h
r
ou
gh
d
u
t
y
rat
i
o(
D
)
A
gr
a
ph
as
s
h
o
w
n
i
n
F
i
g
u
r
e
7
(
a
)
is
p
lo
tte
d
betw
ee
n
b
oos
t
fa
ct
or
(
B)
a
nd
sho
o
t
t
h
r
o
u
gh
du
t
y
r
at
io
(
D
)
w
ith
t
he
f
o
l
low
i
n
g
r
ela
t
io
nshi
ps.
The
bo
os
t
fa
c
t
or
e
xpe
ssi
o
n
f
or
t
hr
ee
phase
q
S
B
I
w
i
t
h
t
r
a
d
i
t
i
ona
l
P
W
M
str
a
t
e
gy
i
s
g
i
v
e
n
by
[
2
1]
,
D
2
1
1
V
V
B
g
PN
(
1
8
)
S
i
milar
l
y,
t
he
b
o
o
s
t
f
act
or
e
x
p
ess
i
o
n
w
it
h
i
m
pr
ove
d
P
W
M
str
a
te
g
y is g
ive
n
b
y[2
5
]
(
1
9
)
U
nder
t
h
e
im
pr
ove
d
P
W
M
c
o
n
t
r
o
l,
t
he
q
S
B
I
c
a
n
pr
o
v
i
de
h
i
g
he
r
b
o
o
st
ed
v
olt
a
g
e
a
s
comp
a
r
ed
t
o
t
h
e
tr
a
d
i
t
i
ona
l
S
B
C
m
o
du
la
tio
n
str
a
te
gy
f
or
t
h
e
s
a
m
e
sho
o
t
-
t
hr
o
u
g
h
du
ty
r
a
tio.
A
t
t
he
s
a
m
e
time
,
t
he
v
ol
t
a
ge
stre
ss
a
c
r
oss
t
h
e
swit
c
h
es
i
s
i
n
c
r
ea
sed.
I
t
i
s
u
nder
s
to
o
d
f
r
o
m
the
p
l
o
t
s
t
h
a
t
t
he
i
mpr
o
ve
d
S
B
C
ca
n
pr
o
v
i
de
t
he
hi
g
h
er
v
o
l
t
a
ge
boos
t
o
f
2.
2
2
w
h
er
ea
s t
h
e c
o
nve
n
tio
na
l S
B
C tec
h
n
i
q
u
e
o
ffe
rs
o
n
l
y
1
.
11
f
o
r
t
h
e
sa
me
dut
y
rat
i
o
o
f
0
.05
.
(a)
(b
)
F
i
gur
e
7.
(
a
)
P
lot
be
tw
ee
n
s
h
o
o
t
t
h
r
o
u
gh
d
u
t
y
r
a
tio(
D
)
V
s
B
o
o
s
t
fac
t
o
r
(
B)
,
(b) Plo
t
betw
e
en M
od
u
l
at
io
n
in
de
x
(
M
)
V
s
V
ol
t
a
ge
g
a
i
n
(
B
)
8.
2
Mod
u
lat
i
o
n
i
nd
ex
V
s
V
o
lt
a
g
e
ga
i
n
The
r
e
lat
i
on
sh
ip
b
etw
e
e
n
m
od
u
l
at
i
on
i
n
de
x
an
d
v
o
lta
ge
g
ai
n
o
f
t
he
q
S
B
I
is
p
lo
tte
d
a
s
s
how
n
i
n
F
i
g
u
r
e
7
(b
).
T
h
e
e
xp
ress
io
n
fo
r
th
e
RMS o
u
t
put
v
o
l
tag
e
o
f t
h
r
e
e
ph
a
se q
SBI
wit
h
tradi
ti
o
n
a
l
SBC
modu
l
a
t
i
on
str
a
t
e
gy
i
s
g
i
v
e
n
by,
2
2
1
.
D
2
1
1
V
.
M
.
3
2
2
1
V
.
B
.
M
3
rms
V
(
2
0
)
S
i
milar
l
y,
t
he
e
xpr
ess
i
on
f
o
r
the
r
m
s
lin
e
v
o
l
tage
w
i
t
h
im
pr
ove
d
PW
M
i
s
g
iv
en
b
y
,
2
2
1
V
.
D
3
1
2
.
M
3
2
2
1
V
.
B
.
M
3
rms
V
(
2
1
)
D
3
1
2
V
V
B
g
PN
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN: 2088-
8694
Int J
P
o
w
El
e
c
&
D
ri S
yst
,
V
ol.
10,
N
o.
3
, S
e
p
2
0
1
9
:
150
0
– 1
509
1
508
Wit
h
t
he
i
np
u
t
o
f
3
6
V
,
d
u
t
y
r
a
tio
0
.0
5
an
d modu
la
ti
o
n
i
n
d
e
x
o
f
0.95,
t
he
r
m
s
outp
u
t
v
ol
t
a
ge of
thre
e
pha
se
q
S
B
I
is
o
b
t
a
i
n
e
d
a
s
4
6.
49
V
w
it
the
i
m
pro
v
ed
P
WM
w
here
as
t
h
e
t
ra
d
iti
ona
l
P
W
M
tec
hni
q
u
e
offers
on
ly
23.2
7
V
.
9.
CO
NC
L
U
S
I
O
N
A
n
e
x
p
erim
en
t
a
l
se
t
u
p
o
f
th
ree
phase
qua
s
i
S
w
itc
hed
B
o
ost
Inve
r
t
e
r
t
o
p
o
l
o
g
y
i
s
d
e
v
e
l
o
p
e
d
f
o
r
10
0
W
pow
er
o
ut
put.
I
t
i
s
s
i
mula
te
d
a
n
d
va
l
i
date
d
w
ith
e
xp
e
r
ime
n
t
a
l
re
su
lts
t
o
u
n
d
ersta
n
d
th
e
pe
rfor
m
a
n
ce
of
the
top
o
l
o
g
y
w
it
h
a
n
i
m
p
r
ove
d
PWM
c
o
n
t
r
o
l
st
r
a
teg
y
.
It
i
s
cle
a
r
t
hat
t
h
e
t
o
p
o
l
o
g
y
c
a
n
p
r
o
v
i
de
a
h
i
gher
bo
ost
fa
ct
or
o
f
2.22
w
i
t
h
low
e
r
d
u
t
y
r
a
t
i
o
o
f
0.
0
5
a
n
d
i
t
o
f
fe
rs
h
igh
qua
l
i
t
y
o
f
ou
tp
ut
v
ol
ta
ge.
A
l
so
w
it
h
th
e
i
m
p
r
ov
ed
P
WM
c
o
n
t
r
ol
t
echn
i
qu
e,
t
h
e
t
o
pol
ogy
o
ff
e
r
s
in
cre
a
s
ed
p
eak
a
c
ou
tpu
t
vol
t
a
g
e
a
t
redu
ced
h
a
r
mo
n
i
c
d
i
s
t
o
r
ti
on
.
Th
e
vo
l
t
a
g
e
g
ai
n
of
2
.1
1
i
s
o
bt
ai
ne
d
with
t
h
e
i
npu
t
v
o
lta
ge
o
f
3
6
V
.
T
he
t
opo
lo
gy
can
b
e
ver
y
w
e
l
l
su
i
t
a
b
le
f
or
r
enew
a
b
l
e
e
ne
rg
y
ap
pl
ica
t
io
ns.
This
r
ese
a
rc
h
w
o
rk
c
a
n
b
e
f
u
r
t
h
er
e
xt
en
ded
wi
t
h
c
l
o
s
e
d
l
oop
c
o
nt
rol
t
e
c
h
ni
qu
es
.
REFE
RENCES
[1]
F
.
B
laabj
e
rg,
Z.
C
hen
,
a
n
d
S
.
B.
K
j
aer,
“
P
ow
er
e
l
ectro
nics
a
s
e
f
f
ici
e
nt
i
nterf
ace
in
d
isp
e
rsed
p
o
w
er
g
en
e
r
at
io
n
syst
e
m
s
,
”
I
EEE Trans. P
o
wer
E
l
ect
ron
, Vo
l
. 19
, No
.
5
,
p
p
. 1
18
4–
11
94
, Sep.
20
0
4
.
[2]
Y.
X
ue,
L
.
C
han
g
,
S.
B
.
Kjær,
J.
B
o
r
do
nau
,
a
nd
T
.
S
h
im
izu,
“
T
o
p
o
l
o
g
i
e
s
o
f
s
i
n
g
l
e
-
p
h
a
s
e
i
n
v
e
r
t
e
r
s
f
o
r
s
m
a
l
l
d
i
s
t
ribu
te
d
po
we
r
ge
n
e
ra
tors:
a
n
o
ve
rv
ie
w,”
IE
EE
Trans. Power Elect
ron
.,
vol.
19
,
no.
5
,
p
p
.
13
05
–1
314
,
Sep.
20
04
.
[3]
T.
K
.
S.
F
reddy,
N
.
A.
R
a
h
im
,
W.
P
.
H
e
w,
a
n
d
H
.
S
.
C
he,
“
C
o
m
par
i
s
on
an
d
an
aly
s
is
o
f
si
ngle-ph
ase
tran
s
f
o
r
merl
es
s
g
ri
d-con
n
ect
ed
P
V
inv
e
rters
,”
I
E
E
E
T
r
an
s
.
Po
w
e
r
El
e
c
t
ro
n.
,
vol.
29
,
n
o
.
1
0
,
pp.
5
35
8–
53
69,
O
c
t
.
20
14
.
[4]
D.
B
o
r
o
y
evich
,
D
.
Zhan
g,
a
nd
P
.
Ning
,
“A
s
h
oot-th
r
ou
gh
protect
i
o
n
s
chem
e
f
o
r
c
o
n
v
erters
b
uilt
w
ith
S
i
C
J
FET
s
,”
IEEE Trans
.
I
n
d
.
Appl
.
,
v
ol.
46,
n
o.
6
,
pp.
2
4
9
5
–
25
00
,
N
ov
.
/
D
e
c
.
2
0
1
0
.
[5]
Pen
g
.F.
Z
.:
Z
-
s
ource in
vert
e
r.
In
:
IEE
E
Trans.
Ind
.
A
p
pl
,
V
ol.
3
9
,
v
o
l
.
2
,
(
M
a
r./
A
pr.
2
0
0
3
)
,
pp.
5
04–51
0
[6]
J.
A
n
d
erso
n
an
d
F
.
Z.
P
eng
,
“
Fou
r
Q
uas
i
-Z
-S
o
u
rce
In
v
e
rters
,
”
Po
wer E
l
ectr
o
n
i
cs
Speci
al
ists Co
nf
eren
ce 200
8
PE
SC ’0
8
,
39
th
IE
EE
15
-
1
9
,
J
u
n
e
2
0
08,
pp.
2
743
-27
4
9
.
[7]
Li
u
.
Y
.,
Ge.B
.,
A
bu
-Rub
.H.,
Pe
ng
.F.Z
.:
M
o
d
e
lli
ng
a
nd
c
o
n
tro
l
le
r
desi
gn
o
f
qu
asi
-
Z
-
so
urce
i
n
v
e
rter
w
it
h
batt
ery-
b
a
se
d
ph
otov
ol
ta
ic
p
owe
r
sy
s
te
m
.
In
:
IET P
o
wer
Elect
ron
,
V
ol.
7
,
(2
014
),
p
p
.
1665–
16
74.
[8]
Gaj
a
n
a
yak
e
.C.J.,
L
u
o
.F
.L.,
Go
o
i
.
H
.B
.:
E
x
tend
ed
b
o
o
s
t
Z
-
so
u
r
ce in
vert
e
r
s
.
In
: IEEE
Trans
.
Power
E
l
ect
ron
,
V
o
l
.
25,
(20
1
0
)
,
i
ssu
e
no
. 1
0,
p
p.
2
6
4
2
–2652
.
[9]
Qi
an
.w.,
Peng
.F
.
Z
.
,
C
ha.H.
:
T
rans-Z
-
s
o
u
rce
inv
e
rters”,
I
E
EE
T
r
a
n
s
.
P
o
w
e
r
El
e
c
t
ro
n
,
Vo
l.
2
6
,
N
o.
1
2,
p
p.
3
45
3–
34
63
,
2
011
.
[10]
Zh
u,
M
.,
Y
u,
K
.
,
Lu
o
,
F
.
L
.
:
S
wit
c
hed
-
in
ductor
Z-so
urce
in
v
e
rter
.
In
:
I
EEE Trans
.
Power
E
l
ectron
,
Vo
l.
25,
(20
1
0
)
,
N
o
.
8
,
pp.
2
15
0–
215
8
[11]
Z
h
u
.
M
.
,
L
i
.D
.
,
G
a
o.
F
.
:
Ex
te
n
d
e
d
to
po
lo
g
i
e
s
o
f
t
a
pp
e
d
-
i
n
d
u
c
to
r
Z
-source
inverters
.
In:
Proc
. I
E
E
E
Int
.
Co
nf
.
o
n
Po
wer
E
l
ectro
nics
an
d ECCE,ICP
E’1
1
,
(
2
01
1),
p
p
.
15
99
–16
05
,
Asi
a
.
[12]
Ng
uy
en.
M
.K
,,
L
i
m
.
Y
.
C
.,
Y.
G.
K
im
.:
T
Z
-
s
o
u
r
ce
inv
e
r
t
er
s
.
I
n
:
IEEE
Tr
ans. In
d.
E
l
ect
ron
,
V
ol
.
60
,
(20
1
3
)
,
No.
1
2
,
pp
.
5
68
6–5
69
5.
[13]
Li.D.,
L
o
h
.
P
.C.
,
Z
h
u
.
M
.:
Cas
caded
m
u
lticell
t
r
a
n
s-Z
-
so
urce
i
nve
rt
ers.In
:
I
E
EE
Trans.
Power E
l
ect
ron
,
Vo
l.
2
8,
(20
1
3
)
,
N
o
.
2
,
pp.
8
26
–8
36.
[14]
Li.D.,
Loh.
P.C
.,
Zhu.
M
,
:
Enhanced
-b
oo
st
Z
-sou
r
c
e
in
ve
rte
r
s
with
a
l
t
ern
a
t
e
-cascad
e
d
s
witch
e
d
and
tap
p
ed
-ind
uct
o
r
cell
s
.
In:
I
EEE T
r
ans.
Ind.
E
l
ec
t
r
on
,
Vol.
6
0,
(
2013),
N
o.
9
,
p
p
.
3
5
6
7
–
3
5
7
8
.
[15]
Ng
uy
en.M
.K
,.
L
i
m
.
Y
.C,
P
a
rk.S.
J
,:
C
ascad
ed
T
Z-s
o
u
ce
in
vert
er
.
In:
IET
P
o
wer Electr
o
n
,
Vol.
7
,
(2
014
),
N
o.
8
,
pp.
20
68
–2
08
0.
[16]
Bala
K
u
m
ar.
S,
S
amu
e
l
Ke
f
a
l
e
,
A
zath
M:
“
Com
p
ari
s
on
o
f
Z-So
urce
E
Z
-
S
o
urce
and
TZ-S
o
u
rce
Inv
e
rt
er
S
yst
e
m
s
f
o
r
Wi
nd
E
n
ergy
Con
v
ersi
on
”
In
ternat
io
nal
J
ournal
o
f
P
o
w
er
E
lec
t
r
on
ics
and
Driv
e
Sy
s
t
em
(IJ
P
E
DS
)
,
Vo
l.
9
,
(20
1
8
)
,
N
o.
4
,
pp.
169
3~
1
701.
[17]
Up
adh
y
ay
.S
.,
Ravi
nd
ranat
h
.A
.,
M
is
hra.S.
,
J
o
sh
i.A
.
:
A
Sw
i
t
ch
ed-B
oo
st
T
o
p
o
l
o
gy
f
o
r
Renew
a
ble
P
o
we
r
Ap
plicat
ion. In
:
IEEE
I
PEC
,
vol.1
0,
,(
2
01
0)
,
pp
. 7
58
-762
.
[18]
S
.
M
ishra.
S.
,
Ad
da.
R
.
,
J
o
s
h
i
.A
.:
I
n
v
erse
W
a
t
k
i
ns
–J
oh
ns
on
t
opol
o
g
y
-bas
ed
i
nv
ert
e
r
.
In:
IE
E
E
Tran
s
.
Power
El
ectr
o
n
,
V
ol.
27
,
(20
1
2
)
,
No.
3
,
p
p
.
1
06
6–
107
0.
[19]
Ravi
nd
ranath
.
A
.
,
Mish
ra.S
.,
J
o
s
h
i
.
S
.:
A
n
a
ly
si
s
an
d
PWM
cont
ro
l
of
switch
e
d
bo
o
s
t
i
nvert
er
.
In
:
IE
EE
T
r
an
s.
I
n
d
.
El
ectr
on,
(
20
13
),
Vo
l.
60,
No
.
1
2,
pp.
5
5
9
3
–56
02.
[20]
Ra
v
i
n
d
ra
n
a
th.A.,
Av
in
a
s
h.
J.
,
Sa
nta
n
u
.
M
.
:
Pu
lse
Width
Mo
du
la
t
i
on
o
f
Th
ree
-
P
h
ase
S
w
itched
Bo
os
t
In
vert
er
.
In:
IEEE con
f
erenc
e
,
(20
13).
[21]
Ngu
y
en
.M.
K
.
,
L
e.T.V
.
,
Park
.
S
.J.,
Lim
.
Y.C
.
:
A
clas
s
of
q
uasi
s
wi
tched
b
oos
t
inv
e
rters
.
I
n:
I
EEE T
r
ans.
Ind.
El
ectr
o
n
,
V
ol.
62
,
(M
arch
2
015
), N
o.
3
,
p
p
.
1
5
2
6
–
15
36
.
[22]
Nag.S.
S.
,
Mis
h
r
a
.
S.:
Current-
f
e
d
s
w
i
t
c
hed
invert
er
.
In:
IEEE
Tr
ans
.
Ind.
Electr
o
n
,
V
o
l
.
6
1,
(
2
0
14
),
N
o.
9
,
pp.
46
80
–
4
6
9
0
.
Evaluation Warning : The document was created with Spire.PDF for Python.
Int J
P
o
w
E
l
e
c
&
D
ri S
yst
IS
S
N
:
2088-
86
94
Exper
i
m
e
ntal
verification of
thr
e
e phase
quasi
swit
ched boost i
n
ver
t
er
.
..
(P.
S
ri
ram
a
laks
hmi)
1
509
[23]
Ng
uy
en.
M
.K
.,
L
e.
T
.
V.
,
P
a
r
k
.
S
.
J
.,
L
i
m
.Y.
C
.
,
Y
oo.
J.Y
.
:
C
l
as
s
of
h
ig
h
bo
ost
inv
e
r
t
e
r
s
ba
se
d
o
n
s
witc
h
e
d-in
du
c
t
o
r
st
ruct
ure
.
In:
I
E
T
Power
Elect
ron,
v
o
l.
8
,
(2
01
5),i
ssue
n
o
5
,
pp.
75
0-7
5
9
.
[24]
E.
S
.
Asl,
E.
B
abaei
,
and
M.
S
a
b
ahi,
“
H
i
gh
voltage
g
ain
half
-b
r
id
ge
q
uas
i
-swit
c
hed
bo
ost
i
nverter
w
ith
r
edu
ced
vo
lt
age stres
s
o
n
cap
acit
o
rs,
”
IE
T P
o
w
e
r
El
ect
r
o
n
.
,
vol.
1
0
,
n
o
.
9
,
pp.
109
5-1
1
0
8
,
J
u
l
.
20
17.
[25]
Ngu
y
e
n
.M.
K
,
Y
ou
n.OK.Ch
oi
,
“
P
WM
C
o
n
t
ro
l
S
c
h
e
me
F
or
Q
ua
si-Swi
tc
h
ed-
B
oost
I
nvert
e
r
to
I
mprove
M
odulation
Ind
e
x,
I
n:
IE
E
E
Tr
ans.
Ind
.
Electron
,
Vo
l. 33
,
i
s
s
u
e
5, May
2
01
8,
p
p
. 4
03
7 –
4
0
4
4
.
[26]
M.
K
.
Ng
u
y
en
,
Y.
C
.
L
i
m an
d S
.
J
.
Pa
rk,
“
A
c
om
p
a
riso
n be
twe
e
n
s
i
ngle-p
h
ase
quas
i
-Z
-sou
r
ce and
q
u
asi
-
swit
c
h
e
d
B
I
OGRAPHIES
O
F AUTHO
RS
S
r
ira
m
ala
k
shm
i
.P
w
as
born
in
T
a
m
i
l
n
ad
u,
I
ndia
.
S
he
r
ec
eive
d
her
B
.Te
c
h
degr
ee
i
n
Elec
trica
l
E
ngi
ne
eri
ng
from
N
a
ti
ona
l
I
n
sti
t
ut
e
o
f
T
e
c
h
no
log
y
,
S
i
l
c
h
a
r
,
Ind
i
a.
S
he
h
as
do
ne
M
.E
fro
m
Col
l
e
g
e
o
f
E
ng
i
n
eer
ing,
G
uind
y,
C
hen
n
a
i
,
Ind
i
a.
S
he
i
s
c
u
rre
ntl
y
w
o
r
k
in
g
t
o
w
a
r
d
s
her
P
h
d
i
n
V
I
T
,
Che
n
n
a
i.
H
er
r
e
s
e
a
rc
h
ar
ea
inc
l
ude
s
Z
so
urce
i
n
v
e
rt
er, swi
t
c
h
e
d
boo
st
i
nv
ert
e
r t
o
po
lo
gi
es
a
n
d
si
ngl
e
s
t
ag
e b
oo
st i
n
v
erte
r
s
.
S
r
ee
devi V
.
T
. w
a
s bor
n in K
e
r
ala
,
I
ndi
a
.
S
he
r
ec
eived
her
Mas
t
e
r
of Te
c
h
n
o
l
ogy
an
d
P
h
D
fr
om
N
ationa
l I
n
st
i
t
u
t
e
o
f
T
ec
hno
lo
g
y
, Trich
y,
India.
S
he i
s c
u
rre
nt
l
y
w
orki
n
g
a
s
profe
ssor i
n
t
h
e
S
c
hool o
f
El
e
c
trica
l
E
n
g
ine
e
r
in
g,
V
IT, Che
nna
i
.
He
r r
e
search
a
re
a
inc
l
ude
s
A
C
–
D
C c
o
n
v
erter
s
f
or
e
lec
t
r
i
c
ve
h
i
c
l
e
s
,
multile
ve
l in
v
erter
s
, z-s
ource
in
ver
t
e
r
s a
nd
O
p
t
i
m
i
za
t
i
o
n
t
ec
hn
ique
s.
Evaluation Warning : The document was created with Spire.PDF for Python.