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
3
6
4
~1
3
7
2
ISSN: 2088-
8694,
DOI
:
10.11591
/ijpeds.
v10.
i
3.pp1364-1372
1364
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
Optimum design of dynamic vol
tage restorer fo
r voltage sag
mitiga
tion in distrib
u
tion network
D
e
shp
a
n
d
e
Ch
in
m
ay V
., D
e
sh
p
a
nd
e
Ch
ai
tan
y
a
V
.
Dep
a
rt
em
ent
o
f
E
lect
rical E
ngineering, ZES
Z
C
O
E
R
, India
Art
i
cl
e In
fo
ABSTRACT
A
r
tic
le hist
o
r
y
:
Re
ce
i
v
e
d
Ju
l
1
7,
201
8
Re
vise
d D
e
c 28,
201
8
A
c
c
e
pte
d
F
eb 13,
2
0
1
9
DV
R
is
p
ower
e
l
ectron
i
c
bas
e
d
d
e
vice
u
s
ed
f
o
r
m
iti
g
ation
of
v
o
l
ta
g
e
s
a
g
pro
b
l
e
m.
I
n
t
h
i
s
p
ap
er,
v
a
rio
u
s
i
nvert
er
t
op
ol
og
i
e
s
su
ch
a
s
Vol
tage
s
ource
in
vert
er,
Z
so
urce
i
nvert
er
a
nd
E
m
bedd
ed
Z
s
o
u
rce
inv
e
rter
a
r
e
us
ed
a
nd
com
p
are
d
f
or
o
p
e
ratio
n
o
f
D
V
R
.
H
e
re
d
ual
p
-
q
th
eory
i
s
i
m
p
l
em
en
ted
as
con
t
ro
l
t
echni
q
u
e
wh
ich
have
e
x
cell
e
nt
t
rans
ien
t
r
es
pon
se
a
n
d
s
peed
.
Diff
erent
inv
e
rter
c
o
n
f
i
gurat
ions
a
re
i
m
p
l
e
ment
ed
f
or
D
V
R
a
n
d
i
ts
s
i
m
u
l
a
t
i
o
n
r
e
s
u
l
t
s
a
r
e
p
r
e
s
e
n
t
e
d
a
n
d
c
o
m
p
a
r
e
d
.
I
t
h
a
s
b
e
e
n
o
b
s
e
rved
t
hat
Em
b
e
dded
EZ
s
o
u
rce
inv
e
rter
t
o
polog
y
is
f
o
u
n
d
t
o
be
e
ffecti
v
e.
The
Em
b
e
dded
EZ sou
rce
in
verter t
op
ol
og
y an
d its
h
ard
w
are res
u
lt
s
a
re
pres
e
nted
and
com
p
ared.
K
eyw
ord
s
:
Du
al
pq
the
o
ry
E-Z
sour
ce
in
ve
rter
SRF
C
o
ntrol Tech
niq
u
e
Vo
lt
ag
e
s
a
g
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:
D
e
shpa
n
d
e
Ch
inm
a
y
V
.
,
D
e
pa
rtem
ent o
f
E
lectr
i
c
a
l E
n
gi
nee
r
in
g,
ZES
Z
C
O
ER
,
Na
rhe,
P
un
e
, Ma
h
ar
ash
t
r
a
, Ind
ia
Em
ail:
chi
n
ma
yde
sh
pa
nde
1
2
3
@
g
m
a
i
l
.com
1.
I
N
TR
OD
U
C
TI
O
N
V
o
l
t
age
sa
g
la
stin
g
up
t
o
3
t
o
4
c
y
c
l
e
ca
us
es
w
i
d
e
ran
g
e
of
c
us
t
o
m
e
r
’
s
se
nsit
i
v
e
e
q
uip
m
ent
to
b
e
dro
p
o
u
t
.
U
ltim
atel
y,
v
o
l
t
a
ge
s
a
g
c
rea
t
es
e
co
nom
ic
l
osses
a
l
o
n
g
wi
t
h
w
ast
i
n
g
t
h
e
r
eso
u
rc
es
[
1].
It
i
s
nec
e
ssary
t
o
b
oo
st
p
ro
m
p
tl
y
th
e
l
o
a
d
s
id
e
vo
lt
ag
e
i
n
t
h
e
e
v
e
nt
o
f
fa
ult
o
r
sw
i
t
c
h
ing
of
l
oa
d
in
o
r
d
er
t
o
a
voi
d
di
st
urba
nces
a
nd
v
o
l
ta
ge
s
a
g
s
i
t
ua
t
i
on.
O
u
t
o
f
var
i
o
u
s
de
vi
c
e
s
tha
t
m
ay
b
e
u
s
e
d
t
o
mi
tiga
t
e
p
o
w
e
r
q
u
al
i
t
y
pro
b
lem
,
D
yna
m
i
c
V
o
l
t
a
g
e
Re
store
r
(
DV
R)
i
s
o
n
e
w
h
ic
h
i
s
u
sed
t
o
pha
se
o
u
t
v
o
l
t
a
ge
s
ag
a
nd
sw
e
l
l
si
tu
a
tio
n
in
d
is
tri
but
io
n
l
i
ne
.
A
p
o
w
e
r
e
l
e
c
tr
on
ic
D
C
to
A
C
s
o
li
d
s
t
a
t
e
s
w
i
t
c
h
i
n
g
c
o
n
v
e
r
t
e
r
u
s
e
d
a
s
s
e
r
i
e
s
c
o
m
p
e
n
s
a
t
o
r
tha
t
c
a
n
b
e
uti
l
i
zed
t
o
pr
o
t
e
c
t
c
r
ucia
l
loa
d
s
from
a
l
l
s
up
p
l
y
s
i
d
e
d
i
s
t
urbanc
es
o
t
h
e
r
t
ha
n
d
i
s
t
urba
nce
s
i
s
call
e
d
as “
Dynam
i
c
Voltage
R
est
o
r
e
r
(DVR)”
[2].
The
D
V
R
c
a
n
c
ompen
s
a
t
e
fo
r
in
d
u
ct
i
v
e
dro
p
i
n
t
h
e
l
i
ne
b
y
i
n
sert
in
g
the
vo
lta
ge
i
n
qua
drat
ure
w
i
t
h
fe
eder
c
urr
e
n
t
[
3].
The
DVR
can
a
lso
lim
it
fau
l
t
curr
ent
b
y
i
nj
e
c
t
i
n
g
l
e
a
d
i
n
g
v
o
lta
ge
i
n
q
u
adra
ture
w
it
h
t
h
e
fa
ul
t
c
u
rre
nt
t
her
e
b
y
i
nc
rea
s
in
g
t
h
e
e
f
fe
ct
i
v
e
fau
l
t
im
pe
da
nce
of
t
he
d
istri
b
uti
o
n
fe
e
d
er
[
4]
.
N
o
w
da
ys
,
in
verter
s ar
e
l
i
k
e a sma
l
l ma
n
d
at
ory
e
l
ec
tron
ic de
v
ice
wh
ic
h ar
e
e
x
t
e
ns
ive
l
y use
d
d
ue
to it
s
g
l
o
b
a
l
fu
n
ct
ion of
trans
f
or
min
g
D
C t
o
A
C
[5]
.
Eve
n
t
h
o
u
gh o
u
t
p
ut vo
l
tag
e
o
bt
a
i
ne
d
is
o
f
h
a
vi
n
g
reduc
e
d
ha
r
m
onic
le
ve
l in
c
ase
of
V
S
I
but
i
f
tw
o
sw
itc
hes
o
n
s
a
m
e
pha
se
l
e
g
t
ur
ns
O
N
,
s
hor
t
ci
rc
u
it
o
c
c
u
rs
t
h
i
s
is
t
he
k
il
ler
of
i
n
v
erter
.
Whe
n
e
v
er
D
C
li
nk
vo
l
t
a
g
e
fall
s
be
low
cer
ta
in
c
r
i
t
i
ca
l
lev
e
l,
i
n
j
e
ct
i
on
ca
pab
i
lit
y
o
f
D
VR
a
ffec
ts
i
n
ca
se
o
f
VS
I
topology [6].
I
n case
o
f CSI,
a
t
lea
s
t
one
sw
itc
h from
up
p
e
r
le
g an
d one
sw
itc
h fr
o
m
low
er leg ha
v
e to be
tur
n
ed
O
N
t
o
a
vo
i
d
a
n
o
p
e
n
c
i
r
cu
it
c
o
n
d
i
t
i
on.
I
n
or
der
to
a
vo
i
d
a
n
op
en
c
i
r
c
u
i
t
cond
iti
on
,
ov
e
r
l
a
ppi
ng
t
i
m
e
i
s
pro
v
i
d
e
d
f
or
o
per
a
t
i
o
n
o
f
sw
itc
hes
w
h
i
c
h
l
eads
to
d
is
tor
tion
i
n
o
u
t
p
u
t
v
o
l
t
a
g
e
a
n
d
t
o
c
o
r
r
e
c
t
i
t
,
t
h
e
r
e
i
s
t
h
e
requ
ire
m
e
n
t
of
s
epar
ate
fil
t
er
.
Anoth
e
r
a
lter
n
at
ive
is
Z
s
o
u
rc
e
i
n
v
er
t
e
r
w
h
ic
h
ha
s
a
n
a
dd
i
t
i
o
na
l
u
n
i
que
X
sha
p
ed
i
mpe
d
a
n
ce
netw
ork
i
s
c
on
nec
t
e
d
a
t
con
v
er
t
e
r ou
t
p
u
t
side
[7].
Th
is
p
a
p
er
pr
o
pos
es
ne
w
inve
r
t
er
t
op
o
l
o
g
y
f
or
D
V
R
such a
s
E
m
b
ed
de
d Z sour
ce i
n
verter
a
lo
ng w
i
t
h
dua
l
p-q
c
o
n
t
r
o
l
tec
hni
que
.
T
h
e
pro
p
o
se
d
co
ntr
o
l
tec
h
n
i
que
i
s
a
b
l
e
to
d
e
t
e
c
t
v
o
lta
ge
s
a
g
v
er
y
w
e
l
l
w
i
t
h
faster
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
O
p
tim
um
D
e
si
gn o
f
D
y
nam
ic Vo
lt
a
g
e R
e
stor
e
r
for
Vo
l
t
a
g
e
Sa
g M
i
t
i
g
a
t
i
o
n
in …
(D
eshp
a
nde
Ch
i
n
m
a
y
V)
1
365
spee
d.
T
he
p
ro
pos
ed
i
n
v
er
t
e
r
c
o
n
f
ig
urat
io
n
i
s
t
est
e
d
w
i
t
h
h
ar
dw
are
proto
t
ype.
A
l
l
d
i
sa
d
v
an
ta
ges
ass
o
c
i
ate
d
w
ith
c
on
ve
nt
i
o
nal i
n
ver
t
e
r
s a
r
e
overc
ome
in Em
b
ed
ded
Z sourc
e
i
nve
rt
er.
2.
E
M
BEDDED Z
S
O
U
RCE
I
NVERT
ER
Mo
st
o
f
the
a
ppl
ica
t
i
o
n
has
r
e
quirem
e
n
t
o
f
bo
t
h
b
uck
a
nd
bo
o
s
t
c
a
p
a
bi
l
i
t
y
a
nd
for
tha
t
p
urp
o
se
in
ste
a
d
o
f
us
in
g
V
S
I
or
C
S
I
,
Z
so
ur
ce
i
nvert
er
i
s
v
i
ab
le
s
o
l
uti
on.
P
r
e
senc
e
of
Z
ne
t
w
o
rk i
n
c
a
se of
ZS
I
h
i
g
h
l
y
i
m
p
r
ov
es
t
h
e
r
el
i
a
bil
i
t
y
o
f
inv
e
rt
e
r
s
in
c
e
ad
d
iti
on
al
o
n
e
s
ho
ot
-t
hro
u
g
h
c
ond
i
t
i
on
is
p
r
e
s
e
nt
w
hi
c
h
i
s
n
o
l
o
nger
prese
n
t
i
n
c
on
ve
nt
io
na
l
V
S
I
and
CS
I
[8]
.
B
eca
use
of
c
ros
s
-
c
on
du
cti
o
n
or
a
d
d
i
t
i
o
n
a
l
sho
o
t
t
h
ro
ugh
c
on
diti
on
prese
n
t
,
it is free
fr
om
s
hor
t
ci
rc
u
i
t
or ope
n
c
i
rc
uit pr
o
b
l
e
m
in
c
a
s
e of Z so
u
rc
e
i
n
ve
rter
[
9].
F
i
gure
1.
I
m
p
edanc
e
(
Z) sourc
e
i
nve
r
t
er
I
n
ste
a
d
o
f
u
s
in
g
separa
te
L
C
fi
l
t
erin
g
in
c
a
s
e
of
V
S
I
,
CS
I
or
Z
SI,
new
family
o
f
ZSI
is
i
nc
or
p
o
r
a
te
d
w
h
ic
h
is
E
m
b
e
dde
d
Z
s
ource
i
n
v
er
t
e
r
(a
s
sh
ow
n
in
F
igur
e
2).
Bas
ica
l
l
y
E
Z
sour
ce
in
vert
er
p
r
o
d
u
ce
t
h
e
sam
e
gai
n
a
s
t
h
e
Z-
sour
ce
i
n
ve
rter
but
w
it
h
sm
o
o
t
her
a
nd
sm
all
e
r
cur
re
nt/v
ol
t
a
ge
m
a
i
nta
i
ne
d
ac
ross
t
h
e
d
c
i
npu
t
source
a
nd w
i
thi
n
the
i
m
p
eda
n
c
e
ne
t
w
o
rk
[
1
0
]
.
F
or this p
u
r
pos
e
the
r
e is n
o
a
ny
re
qu
i
r
em
ent
o
f
a
ny a
d
d
i
t
i
o
n
al
pass
ive
f
ilter
a
nd
he
nc
e beca
use
of
t
h
i
s
t
o
ta
l
c
o
st
a
nd
c
om
ple
x
it
y
ge
t
s
r
e
d
uc
e
d
.
Em
be
d
d
ed
EZ-so
urc
e
i
n
v
e
r
ter
have
t
he
a
d
v
an
tage
s
of
l
ow
er
c
os
t,
c
a
n
b
e
ap
pl
i
e
d
to
a
ll
ac
-ac
,
d
c-
dc,
a
c
dc
,
dc-a
c
pow
e
r
c
on
ver
s
i
o
n,
h
a
s
l
o
w
curr
ent
c
o
m
p
are
d
w
i
t
h
the
t
r
adi
tio
na
l
s
ource
i
n
v
e
r
ter,
doe
s
no
t
a
ffec
t
the
Elec
t
r
oma
gne
t
i
c
I
n
t
e
rfe
r
enc
e
n
o
i
se
,
draw
i
n
g
a sm
oot
her
curre
nt fr
o
m
t
h
e
dc
i
np
ut
s
our
ces
[
11].
F
i
gure
2.
E
mbe
dde
d im
pe
da
n
c
e (
Z
) sourc
e
i
nve
r
t
er
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
:
136
4
– 1
372
1
366
3.
PR
O
P
OS
ED
p
-
q
T
H
E
OR
Y
I
n
t
his
pa
per,
dua
l
p-q
the
o
ry
i
s
im
p
l
e
m
e
n
t
e
d
w
h
ic
h
gi
v
e
s
serie
s
v
o
l
t
a
ge
c
om
pe
nsa
t
i
on
[12]
.
The
ma
in
a
ssum
p
t
ion
in
c
ase
of
dua
l
p-
q
t
h
eor
y
i
s
tha
t
c
ur
rent
a
nd
rea
l
a
n
d
i
ma
g
i
n
a
ry
p
ow
e
r
s
are
kno
w
n
a
nd
vo
lta
ge
c
omp
o
n
e
n
t
s
h
o
u
l
d
be
calc
u
l
a
t
e
d.
T
he
p
hase
v
o
lta
ge
s
a
t
t
he
l
oa
d
ter
m
ina
l
a
n
d
t
he
l
ine
c
u
rre
n
t
s
are
me
asure
d
a
nd
tra
n
sform
e
d
i
n
to
t
he
r
efe
r
enc
e
fram
e
s
[13]
.
The
m
a
trix
r
e
p
rese
nta
t
i
o
n
of
l
i
n
e
v
ol
tage
a
nd
line
cur
r
en
t in
t
o
r
e
fe
renc
e
fra
me
s
is
g
ive
n
by
fo
llow
i
n
g
e
qua
t
i
ons
a
s,
⎣
⎢
⎢
⎢
⎡
√
√
√
1
0
√
√
⎦
⎥
⎥
⎥
⎤
(
1
)
⎣
⎢
⎢
⎢
⎡
√
√
√
1
0
√
√
⎦
⎥
⎥
⎥
⎤
(
2
)
Whe
r
e
and
i
s
t
h
e
r
epre
se
nta
tio
n
o
f
l
ine
v
o
l
t
a
g
e
an
d
and
i
s
t
h
e
r
epre
se
n
t
at
ion
of
l
i
n
e
curr
ent.
F
rom
the
and
a
nd
a
nd
t
he
r
e
a
l
a
nd
ima
g
ina
r
y
pow
ers
of
t
he
l
oa
ds
i
.
e
.
insta
n
ta
ne
ou
s
pow
er
com
po
n
e
nt
s ar
e c
a
lcul
ate
d
as
:
(3)
A
f
ter
that an u
nde
sira
b
l
e pow
e
r
sour
ces
are
sele
c
t
ed.
From these power
port
i
o
n
s of the
load p
o
w
e
rs
and
line
cur
r
ent
s
,
t
h
e
c
o
mp
ensa
t
i
n
g
v
o
lta
ge
s
are
c
a
lc
u
l
ated
a
n
d
i
nser
t
e
d
“
i
ns
tan
t
a
n
e
ousl
y
”
in
t
he
pow
er
syste
m
by
se
ri
es
c
om
pensa
t
o
r
.
[14]
F
rom
th
e
above
e
qua
t
i
on,
w
e
can
d
et
er
mine
v
al
ue
o
f
i
n
t
e
r
m
s
of
.
∗
(4)
Whe
r
e,
p
a
n
d
q
a
r
e
p
o
w
e
r
s
t
h
a
t
a
r
e
s
e
l
e
c
t
e
d
.
W
i
t
h
t
h
e
s
e
o
s
c
i
l
l
a
t
i
n
g
p
o
w
e
r
s
,
i
t
is
poss
i
b
l
e
to
c
a
l
c
u
l
a
t
e
t
he
in
sta
n
ta
ne
o
u
s
vo
l
t
age
s
t
ha
t
h
a
ve
t
o
be
i
n
j
e
c
t
e
d
b
y
the
D
V
R
t
o
c
om
p
e
n
s
ate
for
t
h
e
lo
ad
v
o
l
t
a
ge
by
us
i
n
g
abo
v
e
eq
ua
ti
o
n
.
4.
IMPLE
M
EN
TATION
O
F
VARIOU
S
I
NVE
RTER TOPOLO
G
IE
S
:
A C
AS
E
STUDY
The
r
e
a
r
e
thre
e
c
a
ses
for
d
i
ffer
en
t
in
ve
rte
r
c
onnec
t
e
d
t
o
D
V
R
.
The
resul
t
s
f
o
r
ea
ch
c
ase
a
r
e
d
e
mo
nst
r
a
t
ed
a
l
ong
w
i
t
h
it
s
THD
a
n
a
l
y
s
i
s
.
W
e
can
c
o
m
pa
re
a
l
l
t
h
re
e
in
ve
rters
o
n
t
he
b
as
is
o
f
TH
D
val
u
es
ob
ta
ine
d
.
4.1
D
i
st
rib
u
tion
l
in
e m
o
d
e
l
with
D
VR
b
ased
on
volta
ge
s
ou
rc
e in
vert
er
D
e
tai
l
s
im
ula
t
ions
a
re
p
e
r
for
m
ed
on
D
V
R
t
e
st
s
yst
e
m
u
s
i
ng
MA
TLA
B
SIMULINK
[
1
4
]
.
A
l
i
n
e
o
f
13
K
V
is
s
t
e
p
up
t
o
1
1
5
K
V
for
tra
n
sm
issi
o
n
pur
p
o
se
a
nd
t
he
n
i
t
i
s
a
g
a
i
n
s
t
e
p
d
ow
n
by
u
s
in
g
d
i
s
t
ri
b
u
ti
on
trans
f
or
me
r
ha
vi
n
g
r
at
i
ng
o
f
1
15K
V
/
1
1
K
V
.
H
ere
it
is
c
o
n
side
re
d
t
h
at,
the
r
e
l
o
a
d
s
ud
de
n
l
y
imp
o
s
ed
on
syste
m
f
eede
r
B
f
or
t
h
e
d
urat
io
n
of
0
.0
4
to
0
.1
s
ec.
[
15].
The
trans
i
t
i
on
time
of
c
irc
u
it
bre
a
ker
is
0
.0
4
to
0
.1
i.e.
duri
n
g
tha
t
p
e
r
i
od
o
n
l
y
l
o
ad
g
ets
acte
d
u
po
n
l
i
ne
d
ue
t
o
w
hi
c
h
v
o
lta
ge
s
a
g
i
s
e
xpe
rie
n
c
e
d
b
y
l
oa
d
fee
d
er
B.
B
as
ica
l
l
y
V
S
I
i
s
b
o
o
st
t
ype
o
f
in
verte
r
w
hich
g
i
v
es
g
oo
d
ou
t
pu
t
r
e
spo
n
se
f
or
t
he
oper
a
t
i
o
n
o
f
D
V
R
.
F
o
ll
ow
i
ng
F
i
g
u
re
3
s
h
o
w
s
s
i
m
ul
a
t
i
o
n
resu
lt
f
or
ope
ra
ti
o
n
o
f
D
V
R
b
ase
d
on
v
o
lta
ge
s
o
u
r
ce
i
n
v
er
t
e
r.
F
rom
t
h
e
F
i
gure
3, i
t
is c
lea
r
tha
t
duri
n
g
fa
u
lt c
o
nd
iti
o
n
or
sw
i
t
c
hin
g
c
o
n
d
iti
on,
D
V
R
c
orre
cts t
h
e vo
lta
ge
i
nsta
n
tly.
The
TH
D
analys
is
o
f
D
V
R
w
ith
V
SI
com
es
out
t
o be
15.0
9
%
for
sup
p
l
y
voltage
and
2.70%
for current
.
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
O
p
tim
um
D
e
si
gn o
f
D
y
nam
ic Vo
lt
a
g
e R
e
stor
e
r
for
Vo
l
t
a
g
e
Sa
g M
i
t
i
g
a
t
i
o
n
in …
(D
eshp
a
nde
Ch
i
n
m
a
y
V)
1
367
F
i
gur
e 3.
MA
TLA
B sim
u
l
a
ti
o
n
r
esul
t
of
d
is
trib
u
t
i
o
n
l
i
ne
m
o
d
e
l
w
i
t
h
D
V
R
base
d
on v
o
lta
ge
s
o
u
rce
inver
t
er
4.2
Dist
ribu
tion
l
in
e m
o
del
with
D
VR b
ased
on
impe
da
n
ce
z
so
u
r
c
e i
n
vert
er
I
n
c
a
s
e
of
Z
S
I
i
s
tha
t
a
s
ca
pa
cit
o
r
a
n
d
i
n
d
u
ct
or
bot
h
are
use
d
in
D
C
l
i
n
k
,
it
ac
ts
a
s
c
ons
tan
t
h
ig
h
impe
da
nce
vo
l
t
a
g
e
so
ur
ce.
S
ome
t
i
m
es
i
f
m
i
sf
i
r
in
g
of
s
w
i
t
c
he
s
is
a
l
l
ow
e
d
w
hic
h
i
s
not
p
erm
i
ssi
b
le
i
n
V
S
I.
H
a
r
m
onic
dis
t
ort
i
o
n
i
s
l
o
w
w
i
t
h
l
e
s
s
p
o
w
e
r
loss
es
a
nd
h
ence
e
ff
i
c
i
e
n
c
y
o
f
Z
S
I
i
s
m
o
r
e
a
s
c
o
m
p
a
r
e
d
w
i
t
h
V
S
I
/
CS
I. D
iod
e
D
conne
c
t
ed
i
s usua
l
l
y nee
d
e
d
for
pre
ven
t
ing rev
e
r
se curr
e
nt fl
o
w
.
The
v
alue
o
f
i
n
d
u
ct
o
r
and
ca
paci
t
o
r
for
im
peda
nce
par
t
o
f
ZS
I
is
c
a
l
c
u
la
te
d
as
2
5m
H
and
5
F
.
F
o
llow
i
n
g
F
ig
ure
4
sh
ow
s
M
A
TL
A
B
Si
mu
l
a
ti
on
r
e
s
u
l
t
of
v
ol
t
a
ge
s
a
g
h
av
ing
D
V
R
b
a
s
e
d
o
n
Z
s
ou
rc
e
i
nv
er
t
e
r.
T
h
e
T
HD
an
aly
s
i
s
o
f
D
V
R
wi
th
ZS
I com
e
s
out
t
o be
0
.1
1%
f
o
r
s
upp
ly v
o
lta
g
e
a
nd
6.19
%
fo
r c
u
rr
en
t
.
F
i
gure
4.
MA
TLA
B S
i
m
u
lat
i
o
n
r
esul
t of
v
o
l
t
a
ge sa
g
ha
v
i
n
g
D
V
R
ba
sed on
Z
sourc
e
inve
r
t
e
r
4.3
D
i
st
rib
u
tion
l
in
e m
o
d
e
l
with
D
VR b
ased
on
emb
e
dde
d
i
m
p
edanc
e z sou
rce
inve
r
te
r
F
o
llow
i
n
g
F
ig
ure
5
show
s
si
mulat
i
on
of
D
V
R
b
ase
d
o
n
EZ
so
urce
i
n
v
e
r
t
er
w
it
h
dua
l
p-q
the
o
ry.
S
upp
l
y
s
i
d
e
v
o
l
t
a
ge
a
nd
c
u
rre
nt
f
irs
t
g
e
t
s
co
nver
t
e
d
t
o
r
e
f
ere
n
ce
f
ra
me
by
Cla
r
k’s
tra
n
s
f
orma
tio
n.
F
ro
m
t
h
ese
v
a
l
u
e
s
i
n
s
t
a
n
t
a
n
eou
s
a
ct
iv
e
an
d
react
iv
e
p
o
w
e
r
s
are
c
a
l
cu
la
t
e
d.
A
s
se
en
fro
m
si
m
u
la
ti
o
n
r
esul
t,
response
t
i
m
e of
DV
R
with E
Z
s
ou
rce inverter i
s f
a
st
a
s
com
p
ar
e
d w
ith
V
SI and ZSI.
A
lso the
req
u
ire
m
e
n
t
of
f
i
l
t
e
r
r
e
d
u
c
e
s
i
n
c
a
s
e
o
f
E
Z
s
o
u
r
c
e
i
n
v
e
r
t
e
r
.
C
o
m
p
a
r
e
w
i
t
h
Z
S
I
,
E
ZS
I
draw
s
sm
oot
her
c
u
rre
nt
from
in
pu
t
d
c
source
s.
B
o
t
h
buc
k-b
o
o
st
c
a
p
a
b
il
it
i
e
s
are
o
b
t
ai
ne
d
b
y
u
si
ng
EZS
I.
W
hen
e
ve
r
loa
d
i
s
im
pose
d
on
t
h
e
s
y
s
t
em
,
t
h
e
co
nt
rol
sy
st
em
c
a
l
cul
a
t
e
s
d
i
ff
e
r
e
n
c
e
b
e
t
we
en
p
re
-s
ag
a
n
d
d
u
ring
s
ag
v
olt
a
g
e
a
n
d
P
WM
p
ul
se
s
are
gi
ven
to EZS
I.
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
:
136
4
– 1
372
1
368
F
i
gure
5.
D
ist
r
ibu
t
io
n l
i
ne m
o
d
el
w
ith
D
V
R
b
ase
d
on Em
be
dde
d
Z
sourc
e
in
v
er
t
e
r
5.
EXPE
RIMENTAL
VALID
AT
ION & RESULTS
To
v
erify
the
effec
t
i
v
e
n
e
s
s
of
p
ro
po
sed
s
y
s
t
em
o
f
DVR
b
ased
o
n
E
m
bedde
d
Z
s
o
urce
i
nver
t
e
r
,
pro
t
o
t
ype
h
a
s
b
e
e
n
b
u
il
t
ba
se
d
o
n
p
r
o
p
o
se
d
sys
t
em
w
hi
c
h
i
s
as
s
h
o
w
n
i
n
F
i
gure
5.
T
he
m
a
i
n
s
u
p
p
l
y
is
s
in
g
l
e
pha
se,
50
H
z
,
2
3
0
V
w
hic
h
i
s
ste
p
d
ow
n
t
o
1
1
0
V
.
T
he
f
il
te
r
capa
ci
t
o
r
i
s
4
7
0
F.
T
o
s
t
a
r
t
up
t
h
e
tes
t
,
first
of
a
ll
loa
d
o
f
2
5
W
,
1mH
ind
u
c
t
or
i
s
c
o
n
n
e
c
te
d.
D
rive
r
c
i
r
c
ui
t
is
opera
t
e
d
w
i
t
h
a
n
o
t
h
er
s
te
p
dow
n
tr
ansfor
m
e
r
of
ra
t
i
n
g
230
/12
V
w
h
i
c
h
i
s
co
nvert
e
d
i
n
t
o
pul
sa
t
i
ng
D
C
b
y
u
si
ng
b
r
id
ge
r
ect
i
f
ier (W
10)
. Th
e out
p
u
t
f
r
o
m bri
dge
rec
t
i
f
i
e
r
is
1
2
V
pu
lsa
t
i
n
g
D
C
w
hic
h
i
s
c
o
n
v
e
r
te
d
in
to
+
5
V
by
u
si
n
g
I
C
78
0
5
v
o
lta
ge
r
egu
l
a
t
or.
T
h
e
pur
pose
o
f
I
C
vol
t
a
g
e
r
eg
ul
at
o
r
i
s
to
p
ro
vi
d
e
c
on
st
ant
D
C
v
olt
a
g
e
o
f
+5
V
to
t
h
e
P
I
C
m
i
c
ro
c
o
n
t
r
ol
l
e
r
(PIC
16
F877
A).
D
r
iver
c
i
r
cu
i
t
i
s
use
d
f
or
i
s
o
lat
i
o
n
p
u
rp
ose.
I
n
order
to
t
r
i
gg
e
r
M
O
S
F
E
T
,
t
h
e
v
o
l
t
a
g
e
r
e
q
u
i
r
e
m
e
n
t
i
s
2
0
V
.
H
e
nc
e
t
h
e
1
2
V
A
C
from
dr
i
v
e
r
c
irc
u
it
tra
n
s
f
orme
r
is
a
m
p
l
i
fie
d
b
y
us
ing
tw
o
am
p
lifiers
C
K
100
a
nd
2
N
22
2
2
con
n
ec
ted
bac
k
t
o
bac
k
.
Th
e
bo
os
t
e
d
v
o
l
t
a
g
e
i
s
t
he
n
co
n
v
er
t
e
d
t
o
D
C
b
y
usi
ng
d
i
o
d
e
I
N
40
07
as
a
h
a
l
f
w
a
ve
rec
t
i
f
i
e
r.
S
ingl
e
pha
se
E
Z
sour
ce
i
n
verte
r
c
on
ver
t
s
th
i
s
D
C
v
o
l
ta
ge
i
nt
o
A
C
f
or
i
n
j
e
c
t
i
on
i
n
to
s
ys
tem
.
Ca
pac
i
t
o
r
of
1
00
m
i
cro
fa
rad
and
1mH
in
du
ctor
i
s
use
d
a
s
fi
lter
i
n
i
m
pe
d
a
nce
ne
tw
or
k
of
EZ
so
ur
ce
i
nver
t
er
.
Tw
o
9V
b
a
t
t
e
ries
a
re
u
se
d
as
e
ner
gy
st
orage
i
n
c
a
s
e
o
f
EZ
so
ur
c
e
i
nve
rt
e
r
w
h
i
ch
act
s
a
s
i
np
ut
t
o
i
t
.
T
he
vo
lta
ge
i
s
inje
cted
t
hr
ou
gh
i
n
jec
t
e
d
t
ra
nsfo
r
m
er
o
f
rati
n
g
12V
.
T
he
r
at
ing
of
e
a
c
h
c
o
m
pone
n
t
i
n
ha
rdw
a
re
pro
t
o
t
ype
is l
i
ste
d
be
l
ow
i
n
T
a
ble
1.
Ta
b
l
e
1.
Mai
n spe
c
i
fica
ti
o
n
s of
h
ardwa
r
e
implem
en
ta
t
i
o
n
o
f
EZ s
o
u
r
ce
b
ase
d
DVR
.
S
r
.
N
o.
C
o
m
pone
nt
V
alue
s
1.
S
ingle
ph
a
s
e
t
r
a
n
sf
orm
e
r
230/1
10
V
2.
D
r
i
ve
r
circ
ui
t
tr
a
n
sfo
r
m
e
r
230/1
2
V
3.
L
o
a
d
25
W
bulb
a
s
r
e
s
ist
i
ve
l
o
a
d,
1
m
H
i
nd
uc
tor
4.
I
nje
c
tion
T
r
a
n
sform
e
r
12
V
5.
F
i
lte
r Ca
p
a
c
itor
100
/25
V =
f
o
r
reduc
tion
of
r
ip
ple
s
f
rom
puls
a
ting.
10
/25 V = for
ma
i
n
ta
ining sta
b
i
lit
y
o
f
the
volta
ge
a
t th
e
loa
d
sid
e
.
1
/
0
V
=
for
by
pa
s
s
ing
the
high
fre
qu
e
n
c
y
d
isturba
n
c
e
s
6.
D
C
Stora
g
e
Ba
t
t
e
r
y
T
w
o Ba
t
t
e
r
y
s
o
f
9
V
7.
F
il
te
r Ind
u
c
t
or
1
m
H
The
s
u
pp
l
y
s
id
e
v
o
lta
ge
c
ome
s
o
ut
t
o
be
98.
9
V
an
d
t
h
e
r
e
i
s
d
ro
p
ac
ros
s
l
oad
w
h
ich
c
o
me
s
ou
t
t
o
b
e
86.2V
.
The
sw
itc
h
is
p
r
o
v
i
de
d
t
o
c
on
nec
t
D
V
R
t
o
the
sys
t
em
.
Whe
n
DV
R
c
onn
e
c
t
s
t
o
th
e
syst
e
m
a
nd
i
nj
e
c
t
s
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
O
p
t
i
m
u
m
D
e
sign
o
f
D
y
nam
ic
Vo
lta
ge
Rest
or
er for V
o
l
t
a
g
e
Sa
g Mi
t
i
g
a
t
i
o
n
in … (
D
eshp
a
nde
C
h
i
n
m
a
y
V)
1
369
the
vo
l
t
a
g
e,
b
u
l
b
gl
ow
s
br
i
g
htly.
A
f
t
e
r
com
p
ensa
ti
o
n
,
l
o
a
d
v
o
l
t
age
is
m
ai
nta
i
ned
a
t
9
3.
4
V
.
F
ol
low
i
n
g
F
i
gur
e
6(
a)
,
6
(
b
)
and
6(
c)
s
how
s
a
c
tual
h
a
r
dw
ar
e
r
e
a
d
i
n
gs.
(a)
(b
)
(c)
F
i
gur
e
6.
H
ar
d
w
a
r
e
implem
e
n
ta
tio
n
o
f
D
VR
b
a
s
e
d
on
EZ
s
our
c
e
i
n
v
er
t
e
r
;
(
a
)
s
u
p
p
l
y
si
de
v
o
lta
ge
o
f
D
V
R
base
d
on
EZ
so
ur
ce
i
n
v
er
te
r
,
(
b)
l
oa
d
side
v
o
lta
ge
w
it
h
out
D
V
R
conn
e
c
te
d,
(
c) ha
r
dwar
e
r
e
sult for
load
s
i
d
e
vo
l
t
age
w
i
t
h
D
V
R
c
on
nec
t
ed.
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
:
136
4
– 1
372
1
370
B
y
c
o
n
si
deri
n
g
t
he
p
a
r
am
ete
r
s
o
f
h
ardw
are
prot
oty
p
e
in
M
A
TLA
B
s
imula
t
io
n,
r
e
s
ults
o
b
t
ai
ne
d
a
r
e
as show
n
in
F
igure
7.
Fi
gu
re 7
: M
A
TLA
B
s
imu
l
atio
n r
e
su
lt
for
si
ng
l
e
p
has
e
D
V
R
b
a
s
ed o
n Em
bed
d
e
d
Z s
o
u
r
c
e
i
nv
er
ter
In
s
i
m
ul
at
io
n
th
e
v
a
lu
e
of
l
oa
d
re
si
st
an
ce
i
s
ca
l
c
ul
at
ed
b
y
con
sider
i
n
g
25
W
b
u
l
b
a
n
d
1
1
0
V
A
C
sup
p
l
y
w
h
i
c
h
c
ome
s
t
o be
4
84
ohm
. F
rom
the
si
ngle
pha
se
simu
l
at
i
on a
n
d
hardw
a
re pro
t
o
t
ype
, it i
s
t
o
b
e
se
e
n
tha
t
D
V
R
is c
a
pa
ble
o
f
m
iti
ga
tin
g
vo
ltag
e
sag
c
on
d
i
t
i
on.
Th
e
r
e
sults ar
e
show
n
in
T
ab
le
2
below
.
Tab
l
e
2.
S
imula
t
i
o
n r
e
sult
of
s
oftw
a
r
e
and h
a
rdw
a
r
e
i
m
p
lem
e
ntat
i
o
n of
E
Z sourc
e
ba
s
ed
D
V
R
S
r
.
N
o.
C
o
m
pone
nt
S
i
m
ul
a
tion
Re
sults
H
a
r
dwa
r
e
R
e
sult
s
1.
S
upply
side
volt
a
g
e
102
V
98.
9
V
2.
L
o
a
d
sid
e
vol
t
a
g
e
be
f
or
e
c
onne
c
t
i
o
n of
D
VR
95
V
86.
2
V
3.
L
o
a
d
sid
e
vol
t
a
g
e
a
ft
e
r
D
VR
c
onn
e
c
t
e
d
100
V
93.
4
V
6.
T
H
D
ANALYSIS
F
o
llow
i
n
g
t
a
b
l
e
3
s
h
o
w
s
F
FT
a
na
lys
i
s
of
D
V
R
b
ase
d
o
n
va
ri
ous
i
n
ve
rter
t
opo
l
o
g
i
es
.
The
t
o
ta
l
harm
on
ic
d
ist
o
rt
io
n
(
T
H
D
)
o
f
a
s
i
gna
l
is
a
m
e
a
sure
me
nt
o
f
the
h
a
r
mo
ni
c
di
sto
r
ti
on
p
re
se
nt
i
n
any
gi
ve
n si
gna
l.
I
t
h
a
s
b
e
e
n
o
b
s
erve
d
tha
t
r
e
duc
t
i
on
in
v
o
l
t
a
ge
T
H
D
and
cur
r
ent
THD
in
c
as
e
of
E
mbed
d
e
d
E-Z
source
i
nver
t
e
r
i
s
o
f
99.4
7
%
a
n
d
85.
56
%
re
sp
e
c
t
i
v
e
l
y
com
p
ar
ed
w
i
t
h
V
S
I
t
o
po
l
o
g
y
27.
27%
a
n
d
9
3
.7%
com
p
are
d
wit
h
ZSI topo
l
o
g
y
.
Ta
ble
3.
T
H
D
anal
y
s
i
s
for
si
m
u
lat
i
ons
o
f D
V
R
con
n
ec
t
e
d
w
i
t
h
di
f
fe
re
nt
i
nve
r
t
er
t
op
o
l
og
ie
S
r
.
N
o.
T
yp
e
of
I
nve
rte
r
V
olta
g
e
T
H
D
(%
)
C
u
r
r
e
n
t
T
H
D
(
%
)
1.
V
ol
ta
g
e
Source
Inve
r
t
e
r
15.
09
%
2.
70
%
2.
I
m
p
e
d
a
n
c
e
Z
Source
I
nve
rte
r
0
.
11
%
6.
19
%
3.
E
m
b
e
dde
d
I
m
p
e
d
a
nc
e
(E
Z
)
S
ource
I
nve
r
t
e
r
0
.
08
%
0
.
39
%
7.
CONCL
U
S
ION
Th
is
p
a
p
er
p
r
e
sen
t
s
o
n
e
of
t
he
c
us
t
o
m
po
w
e
r
device
s,
w
hic
h
i
s
r
e
f
e
rred
to
a
s
dyna
mi
c
v
o
lt
ag
e
re
st
o
r
er
b
a
s
ed
o
n
v
a
r
i
ou
s
in
ve
rt
e
r
t
opol
ogi
es
s
u
c
h
as
V
SI,
ZS
I
and
E
Z
S
I
.
I
n
o
r
d
er
t
o
in
ve
s
t
i
g
a
t
e
w
h
e
t
her
t
h
e
D
V
R
i
s
ab
le
t
o
d
e
al
w
ith
v
o
l
ta
ge
s
ag
p
ro
b
l
e
m
,
Matla
b
Simul
i
nk
w
as
s
e
l
e
c
ted
i
n
o
rder
t
o
si
m
u
la
te
t
he
s
y
s
tem
and
m
i
t
i
ga
te
t
he
v
o
lta
ge
s
a
g
.
The
TH
D
a
n
aly
s
i
s
i
s
ca
rrie
d
o
u
t
w
hic
h
s
ho
w
s
t
ha
t
in
c
a
s
e
of
E
m
b
e
d
ded
Z
source
i
nverter
,
vo
lta
ge
T
H
D
c
ome
s
o
u
t
t
o
be
0
.
08%
a
n
d
c
urre
nt
TH
D
c
o
me
s
o
u
t
to
b
e
0.
39
%
i
n
t
he
t
hre
e
phase
s
i
m
ulation
which
is
w
ithi
n
s
p
ecified
l
i
m
it
a
s
per
IEEE
s
t
an
dar
d
.
A
l
so
a
l
o
ng
w
i
th
E
Z
s
ourc
e
i
nver
t
e
r
-1
5
0
-1
0
0
-5
0
0
50
10
0
15
0
RE
DUCT
I
O
N
IN
LO
A
D
SI
D
E
V
O
LTA
G
E
DUE
TO
S
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Int J
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c
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i
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y i
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di
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on
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ork.
The
hardw
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o
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o
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m
o
d
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l
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ow
s
tha
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p
acr
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The
re
su
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s
of
hardw
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a
n
d
s
imu
l
at
i
o
n
ar
e
com
p
ar
ed
w
hi
ch
c
ome
s
o
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t
t
o
be
n
ea
r
l
y
s
a
m
e.
T
hese
r
esul
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s
a
lso
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c
lear
ly
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t
D
V
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f
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s
a
g
e
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n
t
ly b
y c
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rre
c
ti
n
g
l
o
a
d si
d
e
volta
ge
ra
p
i
d
ly.
REFE
RENCES
[1]
M
a
hm
ou
d
Z
a
deh
b
agh
e
ri,
Rah
i
m
l
l
darab
a
di
,Maji
d
B
agh
aei
N
ejad,
“
R
e
view
o
f
D
y
n
a
m
i
c
Vo
lt
age
Rest
orer
A
pplicat
io
n
f
o
r
Co
m
p
ens
a
ti
on
of
V
o
l
t
a
ge
H
arm
o
ni
cs
i
n
P
o
w
e
r
Sy
st
em
s
”
,
In
don
esi
a
n
Jour
na
l of
El
ectr
i
c
a
l
E
ngi
neer
in
g
a
nd Comp
u
t
er S
c
ience
,
V
o
l
.
5
,
N
o
.
1
,
pp
.
58
~
7
1
;
Jan
uary
201
7.
[2]
G.
R
am
ya,
V
.
G
anap
ath
y
,
P.
S
ures
h,
“
P
o
wer
Qu
alit
y
Im
prov
e
m
ent
U
sin
g
M
ult
i
-L
evel
I
nv
ert
e
r
Based
D
V
R
an
d
D
S
TAT
C
OM
Usi
ng
N
euro-Fuz
zy
C
ont
r
ol
ler”,
Inter
n
a
t
i
onal Jou
r
n
a
l o
f
P
o
wer
El
ectr
onics and Dr
ive
S
y
st
em
(I
J
P
ED
S
)
,
V
ol.
8,
N
o.
1
,
pp.
3
16
~
3
24
; M
a
rch
20
17.
[3]
Des
h
p
a
n
d
e
Ch
in
may
V
an
d
S
a
n
j
ay
A
.
D
e
okar,
E
n
h
ancem
en
t
o
f
P
o
w
er
Quality
U
sing
D
yna
m
i
c
V
ol
t
a
ge
R
est
o
rer
Based
o
n
E
Z
S
o
u
r
ce
In
verter”,
In
tern
a
t
io
nal Jou
r
n
a
l
of
Advan
ce Resea
r
c
h
i
n
El
ectrica
l, El
ectr
o
n
i
cs
&
Ins
t
r
u
men
t
ati
on En
gin
eeri
n
g
,
,
V
ol
um
e
4,
issu
e
2
;
2
015
.
[4]
Yu
sh
an
L
i
u
,
H
a
it
ha
m
Ab
u-Ru
b
,
B
ao
mi
ng
G
e,
F
red
e
B
l
aabj
e
rg,
Omar
Ella
b
b
a
n;
P
oh
C
h
i
a
n
g
Loh
,
“
Z
-
S
ou
rc
e
Inverter”, i
n
Im
p
e
d
a
n
c
e So
urce Power
El
ectro
n
i
c
Con
vert
e
rs
, 1
,
Wiley-
IEEE Pre
ss,
20
1
6
,
pp
.42
4
.
[5]
T.
Y
u
,
X
.
S
h
aojun
,
Z
.
Chao
hua,
an
d
X.
Z
egan
g,
“
I
mp
rov
e
d
Z-S
o
ur
ce
Inv
e
rt
er
W
it
h
Redu
ced
Z
-S
o
u
rce
Ca
p
acit
o
r
Vol
t
age
Stress
a
nd
S
oft-S
t
art
Ca
pabilit
y”,
IE
EE T
r
an
sa
cti
ons
on P
o
wer Elect
ronics
,
vo
l.
2
4
,
n
o
.
2
,
pp
.
40
9-4
1
5
,
20
09
.
[6]
P.
C
.
Loh
,
D
.
M
.
V
i
l
at
h
g
a
muwa,
C.
J
.
Gaj
a
n
a
y
a
ke,
L.
T
.
Won
g
,
an
d
C.
P
.
A
ng,
“
Z-
s
o
urce
c
urrent-t
ype
inverters:
Di
g
i
ta
l
modu
lati
on
a
nd
l
ogi
c
i
mplement
at
i
on,”
IEEE Trans.
Power Elect
ron
.
,
v
o
l.
2
2
,
n
o.
1
,
pp
.
1
69–
1
77
,
J
a
n
.
20
07
.
[7]
Yu
sh
an
L
i
u
,
H
a
i
t
h
a
m
A
b
u
-
Rub,
B
ao
mi
ng
Ge;
F
r
ede
Blaab
jerg,
O
m
ar
E
l
l
a
b
b
an,
P
o
h
Ch
iang
Lo
h,
“
Ty
p
i
cal
Tran
sf
orm
e
r-Bases
Z
-S
o
u
rce/Quas
i-Z-S
o
urce
I
n
v
e
rters”,
in
Im
ped
ance
S
o
u
r
ce
Po
wer El
ectr
o
n
i
c Con
verter
s
,
1,
Wiley
-
IEEE
P
r
e
s
s
,
p
p.
4
24;
2
016.
[8]
R.
S
i
n
thiya
Jothi,
S
.
Frederi
c
k,
“
D
e
si
gn
a
nd
s
im
ula
t
io
n
of
T
-Z
s
ource
i
n
v
e
rter
s
ys
te
m
”
,
Inter
n
a
t
io
nal Jo
ur
nal of
Sci
e
nt
ific
&
E
ngineer
in
g R
e
sear
ch
,
Volu
m
e
5
,
Is
su
e
6,
J
u
n
e-20
14
,
IS
SN
222
9-5
518.
[9]
Rani
M
ath
e
w
s
,
Anu
p
am
a
Sis
o
di
a,
“
An
a
l
y
s
is
o
f
Im
p
r
ov
e
d
T
rans
Z
-S
o
u
r
ce
Inv
e
rter
u
s
i
n
g
P
WM
T
echn
i
q
u
e”,
Int
e
rna
t
i
o
n
a
l
Jour
na
l o
f
En
gi
ne
er
ing
Res
e
arch
&
Tech
nolo
g
y
(
I
JER
T
)
,
V
o
l
.
3
I
s
s
u
e
5
,
M
a
y
–
2
0
1
4
,
I
S
S
N
:
2
2
7
8
-
01
81
.
[10]
S
.
N
ag
arajan
a
n
d
N
.
Rajend
ran,
“
Co
m
p
aris
on
o
f
F
a
u
l
t
D
i
agn
o
sti
c
s
o
n
Z-S
o
urce
and
Tran
s
Z-S
ource
Inv
e
rter
F
e
d
Induct
ion
M
o
tor
Drives”,
Ind
i
a
n
Jou
r
n
a
l of
Sci
e
nce and
Tech
no
lo
gy
,
Vol
8
(
32
),
N
ov
e
m
be
r
20
15
,
DOI
:
10
.
1
7
4
8
5
/ijst/
2015
/v
8i3
2
/
8
7
8
6
8
.
[11]
W.
Q
ia
n
,
F
.
Z.
P
e
n
g
a
n
d
H.
C
ha
,
“Tr
a
ns-
Z
-So
u
r
c
e
In
ve
rte
r
s”
,
in
IE
EE
Tra
n
s
a
ctions
on
P
o
wer
El
ectr
oni
cs
,
v
o
l
.
2
6
,
no
.
1
2,
p
p.
3
4
53-346
3,
D
ec.
2
011.
d
o
i
:
10.
11
09
/TPE
L
.
2
01
1.
2
12230
9.
[12]
S
w
at
hyp
rakas
h
an
d
Ran
i S,
“
M
odif
i
ed
T
ran
s
-Z
-S
o
u
rce
Invert
er wi
t
h
Con
t
i
n
u
ous
Input
Curren
t
a
n
d
Imp
rov
e
d Bo
ost
F
acto
r
”
,
Int
e
rn
a
tio
nal Co
nf
erence
on
El
ectrica
l, El
e
c
t
r
o
n
i
c
s
,
an
d
Optimiz
a
tion
T
e
ch
niq
u
es
(
I
CEEOT)
–
2
0
1
6
,
9
7
8
-
1-4
6
7
3
-99
3
9
-
5/
16/
©
20
16
IEE
E
.
[13]
Des
h
p
a
n
d
e
Chi
n
m
a
y
V
.
,
P
a
til
Rajash
ri
J
.
an
d
D
e
o
k
ar
S
an
jay
A
.,
“
Different
c
ontrol
schemes
for
pow
er
q
ual
i
t
y
im
p
r
ove
m
e
n
t
u
si
ng
emb
e
dd
ed
Z
s
o
u
rce
bas
e
d
D
y
n
a
m
i
c
Volt
a
g
e
Rest
o
rer”,
201
5
Interna
t
ion
a
l Con
f
e
r
ence on
En
ergy Syst
ems
an
d Appli
c
a
t
ions
,
P
u
n
e
,
20
15
,
p
p
.
135
-
1
4
0
.
[14]
R
.
O
m
a
r
a
n
d
N
.
A
.
R
a
h
i
m
,
“
M
o
d
e
l
i
n
g
a
n
d
s
i
m
u
l
a
t
i
o
n
f
o
r
v
o
l
t
a
g
e
s
ags
/
s
w
ell
s
m
itigatio
n
usi
ng
d
ynam
i
c
vo
lt
age
rest
orer
(
D
V
R)”,
i
n
Power
En
g
i
neer
ing
Co
nfer
ence,
20
08.
AU
PEC
08
Au
st
ralasia
n
Un
i
vers
i
ties
,
IE
E
E
,
p
p
.
1-
5
,
20
08
.
[15]
Des
h
p
a
n
d
e
Ch
in
m
a
y
V
.,
D
e
shpand
e
Ch
ai
tan
y
a
V
.
&
D
r.
S
.A
.
D
e
o
k
ar,
“
P
e
rfo
rm
ance
E
v
al
uati
on
o
f
Dyn
a
m
i
c
Vo
lt
age
Res
t
o
r
e
r
B
ased
o
n
T
r
ansf
o
r
m
e
r
bas
e
d
Z
So
urce
Inv
e
rt
er”
,
In
ter
n
a
t
io
nal J
our
na
l o
f
P
o
wer
El
ectr
onics and
Dr
ive S
y
s
t
e
m
(
I
JPEDS)
,
V
ol.
8
,
N
o.
03,
p
p
:
1
4
01-1
4
0
8
;
S
e
pt
emb
e
r
2
017
.
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
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,
V
ol.
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r
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