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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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2252
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8792
I
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Dec
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201
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299
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300
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d
le
t
h
e
p
o
w
er
q
u
al
it
y
is
s
u
es.
T
h
e
p
ap
er
p
r
o
p
o
s
es
a
f
u
ll
m
o
d
el
co
m
p
r
i
s
i
n
g
o
f
v
o
lta
g
e
s
o
u
r
ce
co
n
v
er
ter
b
ased
UP
F
C
i
s
co
n
s
tr
u
cted
f
o
r
d
i
g
ital
s
i
m
u
latio
n
to
i
n
v
esti
g
ate
th
e
p
er
f
o
r
m
a
n
ce
o
f
t
h
e
co
n
tr
o
ller
o
n
v
ar
io
u
s
p
o
w
er
q
u
alit
y
p
r
o
b
lem
s
a
n
d
o
b
s
er
v
ed
th
at
co
n
s
id
er
ab
le
i
m
p
r
o
v
e
m
e
n
t
is
id
e
n
ti
f
ied
o
n
48
-
p
u
ls
e
Vo
lta
g
e
s
o
u
r
ce
co
n
v
er
ter
.
T
h
e
co
n
tr
o
l
s
ch
e
m
e
h
as
th
e
f
ast
d
y
n
a
m
ic
r
esp
o
n
s
e
a
n
d
h
e
n
ce
is
ad
eq
u
ate
f
o
r
i
m
p
r
o
v
i
n
g
tr
a
n
s
ie
n
t
b
eh
a
v
io
u
r
o
f
p
o
w
er
s
y
s
te
m
af
ter
tr
an
s
ie
n
t
co
n
d
itio
n
s
.
W
h
e
n
n
o
UP
FC
is
in
s
talled
,
r
ea
l
an
d
r
ea
cti
v
e
p
o
w
er
t
h
r
o
u
g
h
t
h
e
t
r
a
n
s
m
is
s
io
n
li
n
e
ca
n
n
o
t
b
e
co
n
tr
o
lled
.
A
co
n
tr
o
l
s
y
s
te
m
w
h
ic
h
e
n
ab
les
th
e
UP
F
C
to
f
o
llo
w
t
h
e
c
h
a
n
g
es i
n
r
ef
er
e
n
ce
v
al
u
es
lik
e
AC
v
o
lta
g
e,
D
C
v
o
ltag
e
an
d
a
n
g
l
e
o
r
d
er
o
f
th
e
s
er
ies
v
o
ltag
e
s
o
u
r
ce
co
n
v
er
ter
is
s
i
m
u
lated
.
I
n
p
a
s
t,
t
h
e
p
o
w
er
q
u
alit
y
p
r
o
b
le
m
s
ar
e
id
en
t
if
ied
b
y
to
tal
h
ar
m
o
n
i
c
d
is
to
r
tio
n
s
,
b
u
t
t
h
i
s
m
e
th
o
d
o
f
ap
p
r
o
ac
h
is
f
a
iled
u
n
d
er
m
i
cr
o
an
al
y
s
i
s
.
T
o
o
v
er
co
m
e
t
h
e
p
r
ev
io
u
s
a
n
al
y
s
is
,
th
e
p
r
o
p
o
s
ed
r
esear
ch
w
o
r
k
i
s
ca
r
r
ied
w
av
ele
t
b
ased
p
er
f
o
r
m
an
ce
a
n
al
y
s
i
s
o
f
ac
tr
an
s
m
i
s
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io
n
s
y
s
te
m
s
w
it
h
u
n
i
f
ied
p
o
w
e
r
f
lo
w
co
n
tr
o
ller
u
n
d
er
p
o
w
er
q
u
ali
t
y
is
s
u
e
s
.
T
h
e
s
u
m
o
f
t
h
e
d
etailed
co
e
f
f
ic
ien
ts
o
f
cu
r
r
en
t
an
d
v
o
ltag
e
s
i
g
n
als ar
e
ca
lcu
lated
b
y
m
a
k
e
u
s
e
o
f
b
io
r
1
.
5
m
o
th
e
r
w
a
v
elet
a
t e
ac
h
ter
m
in
al
[
3
,
4
]
.
T
h
e
an
al
y
s
i
s
ca
n
b
e
ca
r
r
ied
u
n
d
er
v
ar
io
u
s
p
o
w
er
q
u
alit
y
p
r
o
b
lem
s
an
d
it
is
f
o
u
n
d
t
h
at
th
e
a
n
al
y
s
i
s
is
s
u
p
er
io
r
to
ex
is
t
in
g
m
eth
o
d
s
.
2.
P
RO
P
O
SE
D
UP
F
C
CO
NN
E
CT
E
D
T
RA
NSM
I
SS
I
O
N
M
O
DE
L
T
h
e
4
8
-
p
u
ls
e
v
o
ltag
e
s
o
u
r
ce
co
n
v
er
ter
is
co
m
p
o
s
ed
o
f
th
r
e
e
-
p
h
a
s
e
co
n
tr
o
llab
le
b
r
id
g
es
to
p
r
o
d
u
ce
cu
r
r
en
t
t
h
at
is
in
j
ec
ted
in
to
a
t
r
an
s
m
is
s
io
n
lin
e
u
s
i
n
g
a
s
er
ie
s
tr
an
s
f
o
r
m
er
.
I
n
th
i
s
UP
F
C
is
d
esig
n
ed
b
y
u
s
in
g
s
er
ies
a
n
d
s
h
u
n
t
v
o
lta
g
e
s
o
u
r
ce
d
co
n
v
er
ter
s
ca
n
co
n
tr
o
l
ac
tiv
e
a
n
d
r
ea
ctiv
e
p
o
w
er
f
lo
ws
in
a
tr
an
s
m
is
s
io
n
lin
e.
T
h
e
UP
FC
i
s
a
co
m
b
i
n
at
io
n
o
f
a
s
tatic
s
y
n
c
h
r
o
n
o
u
s
s
e
r
ies
co
m
p
e
n
s
ato
r
(
S
SS
C
)
an
d
s
tatic
s
y
n
c
h
r
o
n
o
u
s
co
m
p
e
n
s
ato
r
(
ST
A
T
C
OM
)
co
u
p
led
th
r
o
u
g
h
a
co
m
m
o
n
DC
v
o
lta
g
e
lin
k
i
n
g
i
n
j
ec
ted
v
o
ltag
e
in
q
u
ad
r
at
u
r
e
w
it
h
c
u
r
r
en
t
w
it
h
i
n
t
h
e
p
o
w
er
s
y
s
te
m
[
5
]
.
T
h
e
p
r
o
p
o
s
ed
U
P
FC
co
n
n
ec
ted
tr
an
s
m
is
s
io
n
m
o
d
el
ill
u
s
tr
ated
i
n
Fig
u
r
e
1
.
Fig
u
r
e
1.
T
h
e
p
r
o
p
o
s
ed
m
o
d
el
o
f
a
UP
FC
co
n
n
ec
t
ed
tr
an
s
m
i
s
s
io
n
s
y
s
te
m
T
h
e
s
er
ies
VS
C
b
lo
ck
s
ar
e
co
n
n
ec
ted
i
n
s
er
ies
w
it
h
t
h
e
tr
an
s
m
is
s
io
n
lin
e
b
y
a
s
er
ie
s
co
u
p
lin
g
tr
an
s
f
o
r
m
er
an
d
it
ca
n
p
r
o
v
i
d
e
eith
er
ca
p
ac
itiv
e
o
r
in
d
u
c
tiv
e
v
o
ltag
e
co
m
p
e
n
s
a
tio
n
[
6
]
.
T
h
e
co
n
v
er
te
r
is
o
p
er
ated
u
n
d
er
f
u
n
d
a
m
e
n
tal
f
r
eq
u
en
c
y
f
o
r
t
h
e
m
ai
n
b
r
id
g
es
a
n
d
s
i
x
ti
m
e
f
u
n
d
a
m
e
n
tal
f
r
eq
u
e
n
c
y
f
o
r
th
e
au
x
i
liar
y
cir
cu
it.
T
h
e
co
n
v
er
ter
s
w
itc
h
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n
g
lo
s
es
an
d
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w
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ch
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g
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d
y
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m
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g
e
s
tr
es
s
is
r
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u
ce
d
s
ig
n
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f
ica
n
tl
y
[
7
]
.
3.
DIGIT
AL
S
I
M
UL
AT
I
O
N
M
O
DE
L
O
F
UP
F
C
T
h
e
s
in
g
le
li
n
e
d
iag
r
a
m
r
ep
r
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ti
n
g
p
r
o
p
o
s
ed
s
y
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te
m
m
o
d
el
f
o
r
6
0
-
p
u
ls
e
th
e
UP
FC
co
n
n
ec
ted
tr
an
s
m
is
s
io
n
s
y
s
te
m
u
n
d
er
s
tu
d
y
is
ill
u
s
tr
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in
Fi
g
u
r
e
2.
T
h
e
s
a
m
p
le
s
y
s
te
m
w
it
h
t
h
e
Un
i
f
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p
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Flo
w
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o
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tr
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s
h
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s
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as ser
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VS
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it
s
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m
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T
h
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f
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d
er
n
et
w
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t
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at
B
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at
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,
at
in
j
ec
ted
lo
ad
o
f
5
MW
an
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2
Mv
ar
at
b
u
s
3.
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an
d
r
ea
ctiv
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p
o
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r
o
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h
a
co
m
m
o
n
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b
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s
.
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h
e
r
ea
ctiv
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p
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v
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tain
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b
y
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ar
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th
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b
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v
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e.
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h
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d
ig
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u
lat
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m
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d
el
co
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〖
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.
5
〗
^0
f
r
o
m
ea
ch
o
th
er
an
d
m
o
d
el,
ca
n
p
r
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id
e
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f
u
ll
4
8
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p
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l
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e
co
n
v
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r
ter
o
p
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r
atio
n
.
T
h
e
48
-
p
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ls
e
co
n
v
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ter
ca
n
b
e
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s
e
d
in
h
ig
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ac
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to
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tio
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te
n
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[
8
,
9
]
.
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=
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▁
(
+)
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1
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4.
RE
SU
L
T
S
A
ND
AN
AL
Y
SI
S
T
h
e
v
ar
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n
o
f
th
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p
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ase
cu
r
r
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ts
a
n
d
v
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s
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w
n
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Fi
g
u
r
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3
an
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u
r
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4
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n
d
er
s
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itc
h
in
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tr
a
n
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n
t
co
n
d
itio
n
.
T
h
e
cu
r
r
en
t
an
d
v
o
lta
g
e
tr
a
n
s
ien
t
s
ar
e
co
m
p
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ated
w
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h
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as
s
h
o
w
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in
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Fig
u
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.
Fig
u
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3
.
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b
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s
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ted
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Fig
u
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4
.
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t v
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1
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.
5.
CO
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[1
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Ro
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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8792
I
n
t J
A
p
p
l
P
o
w
er
E
n
g
,
Vo
l.
8
,
No
.
3
,
Dec
em
b
er
201
9
:
299
–
308
308
B
I
O
G
RAP
H
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S
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AUTH
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Na
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