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In
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r
en
t
s
a
n
d
h
ig
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p
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w
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f
ac
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[
1
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.
R
ec
en
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,
d
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to
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s
tr
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g
in
cr
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alit
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th
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tab
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[
2
]
.
T
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v
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co
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tr
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l te
ch
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a
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to
f
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s
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s
ta
n
d
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s
.
Div
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s
e
co
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tr
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l
s
tr
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s
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v
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b
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P
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DP
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)
[
3
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,
th
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v
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to
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(
VC
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ca
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b
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ased
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g
r
id
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[
4
-
6
]
o
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(
VF)
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c
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tr
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s
[
7
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.
Ho
w
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v
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it
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v
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[
8
]
.
ad
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[
9
].
T
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DP
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th
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tan
tan
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.
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2
0
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.
3
.
1
.
1.
P
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m
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s
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n v
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l f
lux
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h
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t
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tatio
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-
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co
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in
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y
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m
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s
[
1
1
]
.
L
α
L
α
c
o
n
c
α
di
ψ
u
L
d
t
dt
(
4
)
β
L
β
c
o
n
v
β
di
ψ
u
L
d
t
dt
(
5
)
T
h
en
,
(
6
)
an
d
(
7
)
ar
e
u
s
ed
to
e
s
ti
m
ate
th
e
ac
ti
v
e
a
n
d
r
ea
ctiv
e
p
o
w
er
[
1
0
]
.
L
α
Lβ
Lβ
Lα
P
ω
(
ψ
i
ψ
i
)
(
6
)
L
α
L
α
L
β
L
β
Q
ω
(
ψ
i
ψ
i
)
(
7
)
T
h
e
VF v
ec
to
r
p
o
s
itio
n
:
L
-1
L
α
ψ
L
β
ψ
θ
=
t
a
n
ψ
is
u
s
ed
i
n
VF
-
DP
C
s
c
h
e
m
e
to
s
elec
t
th
e
ap
p
r
o
p
r
iate
c
o
n
v
er
ter
s
v
o
ltag
e
v
ec
to
r
ac
co
r
d
i
n
g
to
t
h
e
i
m
p
r
o
v
ed
s
w
itc
h
in
g
tab
le
d
ef
i
n
ed
in
[
20
].
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
A
p
p
l P
o
w
er
E
n
g
I
SS
N:
2252
-
8792
I
mp
r
o
ve
d
virt
u
a
l flu
x
d
ir
ec
t p
o
w
er c
o
n
tr
o
l o
f th
r
ee
p
h
a
s
e
P
WM
r
ec
ti
fier
u
s
in
g
S
OGI
-
F
LL
…
(
A
R
a
h
a
b
)
37
3
.
1
.
2.
SO
G
I
-
F
L
L
f
lux
e
s
t
i
m
a
t
io
n
a.
Str
uct
ure
o
f
SO
G
I
T
h
e
s
tr
u
ctu
r
e
o
f
th
e
SOGI
is
s
h
o
w
n
o
n
F
i
g
u
r
e
2
(
a)
th
e
f
ir
s
t
o
u
tp
u
t
(
u
'
)
o
f
th
e
SO
GI
is
in
p
h
ase
an
d
w
it
h
th
e
s
a
m
e
a
m
p
lit
u
d
e
w
it
h
th
e
i
n
p
u
t
(
u)
,
t
h
e
s
ec
o
n
d
o
u
tp
u
t
(
qu
'
)
i
s
s
h
if
ted
o
f
9
0
°
w
i
th
t
h
e
s
a
m
e
a
m
p
lit
u
d
e,
(
th
e
letter
’
q
’
is
f
o
r
in
d
icati
n
g
th
at
th
is
o
u
tp
u
t
is
in
q
u
ad
r
atu
r
e
w
ith
(
u’
)
.
T
h
e
t
w
o
o
u
tp
u
t
ca
n
th
e
n
b
e
u
s
ed
f
o
r
co
m
p
u
ti
n
g
m
a
g
n
it
u
d
e
an
d
p
h
a
s
e
o
f
i
n
p
u
t
(
u
)
.
K
is
th
e
d
a
m
p
i
n
g
Fa
cto
r
o
f
t
h
e
f
i
lter
,
a
g
ai
n
o
f
g
r
ea
t
v
al
u
e
g
i
v
es
a
q
u
ick
r
e
s
p
o
n
s
e
b
u
t
ca
n
af
f
ec
t
th
e
ac
c
u
r
ac
y
o
f
t
h
e
f
ilter
an
d
a
g
a
in
o
f
lo
w
v
alu
e
ca
n
ca
u
s
e
a
v
er
y
lo
n
g
tr
an
s
ie
n
t
r
e
s
p
o
n
s
e.
T
h
en
,
ta
k
in
g
in
to
ac
co
u
n
t
all
t
h
ese
cir
cu
m
s
ta
n
ce
s
th
e
v
al
u
e
o
p
tim
al
o
f
g
ai
n
K
is
(
2
)
[
1
5
-
1
6
]
.
b.
F
r
equency
l
o
cked l
oop (
FL
L
)
T
h
e
f
r
eq
u
en
c
y
-
lo
ck
ed
lo
o
p
(
FLL
)
s
tr
u
ct
u
r
e,
s
h
o
w
n
i
n
Fi
g
u
r
e
2
(
b
)
ca
n
b
e
u
s
ed
to
m
ea
s
u
r
e
t
h
e
an
g
u
lar
f
r
eq
u
en
c
y
ω
o
f
t
h
e
in
p
u
t
s
i
g
n
al
v
(
in
t
h
i
s
ca
s
e,
ω
'
i
s
th
e
o
u
tp
u
t
o
r
esti
m
ated
an
g
u
lar
f
r
eq
u
en
c
y
o
f
t
h
e
in
p
u
t
s
ig
n
al
(
u
)
w
it
h
o
u
t
u
s
i
n
g
tr
ig
o
n
o
m
etr
ic
f
u
n
ctio
n
s
an
d
m
ak
in
g
ea
s
ier
its
i
m
p
le
m
en
ta
t
io
n
in
co
n
v
en
t
io
n
al
m
icr
o
co
n
tr
o
ller
s
[
2
1
-
2
2
]
.
K
'
ω
'
qu
u
'
u
ε
ε
(
a
)
'
ω
-
γ
'
qu
ε
(
b
)
Fig
u
r
e
2.
B
lo
ck
d
iag
r
a
m
s
(
a)
SOGI
-
Q
SG sc
h
e
m
e,
(
b
)
FLL
b
lo
ck
T
h
e
in
tr
o
d
u
ctio
n
o
f
t
h
e
F
L
L
a
llo
w
s
to
ad
ap
t
th
e
in
p
u
t
f
r
eq
u
en
c
y
o
f
th
e
SOGI
w
it
h
th
e
f
r
e
q
u
en
c
y
o
f
th
e
s
i
g
n
al
is
f
ilter
ed
.
T
h
e
SO
GI
ac
co
u
n
t
as
a
g
o
o
d
s
o
lu
tio
n
f
o
r
t
h
e
e
s
ti
m
atio
n
o
f
t
h
e
(
VF
)
u
n
d
er
a
d
is
t
u
r
b
ed
n
et
w
o
r
k
.
As
alr
ea
d
y
s
ee
n
p
r
ev
io
u
s
l
y
,
t
h
e
s
ec
o
n
d
o
u
tp
u
t
o
f
t
h
e
SOGI
is
a
s
i
g
n
al
o
f
th
e
s
a
m
e
a
m
p
lit
u
d
e
to
th
a
t
o
f
t
h
e
i
n
p
u
t
b
u
t
s
h
i
f
t
o
f
9
0
0
,
So
w
e
ca
n
u
s
e
t
h
e
SOGI
to
i
n
teg
r
ate
(
4
)
,
(
5
)
an
d
b
y
co
n
s
eq
u
en
ce
esti
m
ate
th
e
v
ir
tu
a
l f
l
u
x
[
1
4
]
.
Un
d
er
a
b
alan
ce
d
an
d
u
n
b
alan
ce
d
g
r
id
v
o
ltag
e
,
th
e
VF
ca
n
b
e
esti
m
ated
b
y
SOGI
-
F
L
L
as
illu
s
tr
ated
in
F
i
g
u
r
e
3
(
a)
an
d
3
(
b
)
.
W
h
er
e
R
VC
:
r
esis
tan
ce
v
o
lta
g
e
co
m
p
e
n
s
atio
n
,
I
F
C
:
i
n
d
u
cta
n
ce
f
l
u
x
co
m
p
e
n
s
atio
n
,
P
NSC
:
T
h
e
p
o
s
itiv
e
an
d
n
eg
a
tiv
e
s
eq
u
e
n
ce
co
m
p
o
n
e
n
t
d
ev
lo
p
ed
in
[
2
2
]
.
Un
d
er
u
n
b
alan
ce
d
s
o
u
r
ce
v
o
ltag
es
an
d
co
n
tai
n
s
h
ar
m
o
n
ics,
t
h
e
(
VF)
ca
n
b
e
esti
m
a
ted
b
y
m
u
ltip
le
s
ec
o
n
d
o
r
d
er
g
en
er
alize
d
in
teg
r
ato
r
s
(
MSOGI
)
as illu
s
tr
ated
[
2
2
]
.
c
o
n
v
u
S
O
G
I
S
O
G
I
F
L
L
u
'
qu
'
u
'
'
L
i
'
qu
'
u
'
u
L
L
L
i
'
L
L
R
R
c
o
n
v
α
u
L
i
L
i
D
S
O
G
I
RV
C
I
F
C
(
a
)
D
S
O
G
I
D
S
O
G
I
R
V
C
P
N
S
C
P
N
S
C
+'
L
α
e
+'
L
e
'
L
α
e
'
L
e
+'
L
α
i
+'
L
i
'
L
α
i
'
L
i
c
onv
α
u
c
onv
u
L
i
L
i
F
L
L
u
'
u
'
qu
u
i
i
'
i
'
qi
'
'
qu
L
L
L
L
K
1
1
1
1
L
L
L
L
I
F
C
(
b
)
Fig
u
r
e
3.
(
a)
V
ir
tu
al
f
l
u
x
es
ti
m
ato
r
u
n
d
er
b
alan
ce
d
g
r
id
v
o
ltag
e
u
s
i
n
g
S
OGI
-
F
L
L
(
b
)
V
ir
t
u
al
f
lu
x
esti
m
ato
r
u
n
d
er
un
b
alan
ce
d
g
r
id
v
o
ltag
e
u
s
i
n
g
D
SOGI
-
F
L
L
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8792
I
n
t J
A
p
p
l P
o
w
er
E
n
g
,
Vo
l.
8
,
No
.
1
,
A
p
r
il 2
0
1
9
:
3
4
–
42
38
3
.
2
.
M
o
dified
v
irt
ua
l f
lux
direct
po
w
er
c
o
ntr
o
l
M
VF
DP
C
I
n
s
tatio
n
ar
y
r
ef
er
en
ce
f
r
a
m
e
s
,
w
h
e
n
th
e
g
r
id
v
o
ltag
e
u
n
b
alan
ce
d
an
d
d
is
to
r
ted
,
th
e
v
o
ltag
e
an
d
cu
r
r
en
t
o
f
g
r
id
ar
e
ex
p
r
ess
ed
in
(
8
)
,
(
9
)
.
T
h
e
s
u
m
o
f
th
e
c
u
r
r
en
ts
w
il
l
al
w
a
y
s
b
e
ze
r
o
(
in
th
is
an
al
y
s
i
s
ass
u
m
e
a
th
r
ee
-
w
ir
e
co
n
n
ec
tio
n
s
y
s
te
m
)
,
as a
r
es
u
lt,
t
h
e
ze
r
o
s
eq
u
e
n
ce
s
o
f
th
e
c
u
r
r
en
t
s
w
ill b
e
ze
r
o
.
I
n
th
is
w
o
r
k
,
o
n
l
y
u
n
b
ala
n
ce
an
d
5
th
o
r
d
er
h
ar
m
o
n
ic
co
m
p
o
n
en
ts
i
n
th
e
s
u
p
p
l
y
v
o
ltag
e
ar
e
tak
e
n
i
n
to
ac
co
u
n
t
in
m
o
d
eli
n
g
.
55
Ee
e
j
e
e
j
e
e
e
e
(
8
)
55
i
i
i
i
I
i
j
i
i
j
i
(
9
)
55
j
j
(
10
)
Af
ter
s
u
b
s
t
itu
tin
g
t
h
e
f
l
u
x
an
d
cu
r
r
en
t
b
y
t
h
eir
v
a
lu
e
s
s
h
o
wn
i
n
(
9
)
an
d
(
1
0
)
,
th
e
ac
ti
v
e
a
n
d
r
ea
ctiv
e
p
o
w
er
s
r
esu
lts
ca
n
b
e
r
eg
r
o
u
p
ed
in
f
o
u
r
ter
m
.
5
5
5
5
5
5
5
5
5
5
5
5
3
2
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
P
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i
(1
1
)
5
5
5
5
5
5
5
5
5
5
5
5
3
2
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
Q
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i
i
(1
2
)
T
h
er
e
ar
e
m
a
n
y
co
n
tr
o
l
la
w
s
th
at
ca
n
b
e
ap
p
lied
in
t
h
e
p
r
o
p
o
s
ed
co
n
tr
o
l,
to
o
b
tain
s
in
u
s
o
id
al
an
d
b
alan
ce
d
lin
e
c
u
r
r
en
ts
,
t
h
e
n
e
g
ati
v
e
s
eq
u
e
n
ce
co
m
p
o
n
e
n
t
’
s
an
d
5
th
h
ar
m
o
n
ic
s
eq
u
e
n
ce
m
u
s
t
b
e
eli
m
i
n
ated
.
T
h
er
ef
o
r
e
,
in
o
r
d
er
to
:
--
L
α
L
β
L
α
L
β
55
i
=
i
=
i
=
i
=
0
,
(
11
)
an
d
(
1
2
)
ca
n
b
e
w
r
itten
as
:
55
3
2
L
L
L
L
L
L
L
L
L
L
L
L
P
i
i
i
i
i
i
(
1
3
)
55
3
2
L
L
L
L
L
L
L
L
L
L
L
L
i
i
i
i
i
i
Q
(
)
(
14
)
Un
d
er
th
e
b
alan
ce
d
an
d
p
er
f
ec
tl
y
s
i
n
u
s
o
id
al
g
r
id
v
o
ltag
e
s
u
p
p
l
y
,
th
er
e
o
n
l
y
e
x
is
t
s
a
p
o
s
itiv
e
s
eq
u
en
c
e
co
m
p
o
n
e
n
t,
a
n
d
th
e
p
o
w
er
s
ca
n
b
e
d
escr
ib
ed
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ated
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L
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i
i
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i
P
(
1
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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t J
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l P
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g
I
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N:
2252
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8792
I
mp
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A
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39
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Sev
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li
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d
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Fig
u
r
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4
.
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h
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teg
r
atio
n
o
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t
h
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o
tch
f
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n
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i
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e
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F
ig
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r
e
4
s
h
o
w
t
h
e
m
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i
f
ied
DP
C
s
tr
ateg
y
,
t
h
is
s
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e
m
b
as
ed
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id
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ated
co
m
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n
en
ts
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n
t
h
e
o
r
ig
in
al
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ef
er
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ce
d
p
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er
(
P
const
a
n
d
Q
const
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to
ac
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ie
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s
in
u
s
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al,
s
y
m
m
e
tr
ic
lig
n
e
cu
r
r
en
t
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d
s
m
o
o
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h
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li
n
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ag
e.
T
h
e
n
o
tch
f
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n
t
h
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D
C
lin
k
v
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s
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er
e
i
n
o
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d
er
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r
e
m
o
v
e
(
1
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Hz
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d
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Hz)
o
s
cillatio
n
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th
at
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h
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ter
s
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elio
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ate
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ca
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e
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ad
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s
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g
a
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t
u
n
ed
to
(
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0
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in
s
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On
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ca
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u
b
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t
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h
th
e
f
i
lter
ed
s
ig
n
al
f
r
o
m
t
h
e
SOGI
[
23
]
.
_
r
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f
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n
s
t
c
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m
p
P
P
P
(
19
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_
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f
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t
c
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p
Q
Q
Q
(
20
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(
17
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,
(
18
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f
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f
Q
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p
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t
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t
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p
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ψ
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5
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L
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L
αβ
i
To
D
P
C
C
o
n
tr
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l
l
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N
ot
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h
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t
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r
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as
e
d
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O
G
I
PI
V
r
e
f
dc
V
dc
Fig
u
r
e
4
.
C
o
n
tr
o
l stra
teg
y
u
n
d
er
u
n
b
alan
ce
a
n
d
p
r
ed
is
to
r
ted
s
u
p
p
l
y
v
o
lta
g
e
4.
SI
M
UL
AT
I
O
N
R
E
S
UL
T
S
I
n
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r
d
er
to
v
er
if
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a
n
d
th
e
v
al
i
d
atio
n
o
f
th
e
p
r
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p
o
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ed
DP
C
s
t
r
ateg
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,
t
h
e
s
y
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te
m
h
a
s
b
ee
n
m
o
d
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d
b
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n
M
A
T
L
A
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/SIM
U
L
I
N
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s
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f
t
w
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ir
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m
e
n
t
an
d
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n
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er
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s
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n
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itio
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s
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T
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e
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k
v
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lta
g
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is
s
et
at
600
V.
T
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co
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tr
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p
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ti
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ai
m
s
to
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tain
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n
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n
t
d
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d
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is
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n
tr
o
lled
u
s
i
n
g
VF
DP
C
m
eth
o
d
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ased
SOGI
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FLL
v
ir
t
u
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lu
x
est
i
m
a
to
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.
Star
tin
g
p
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d
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r
e
is
n
o
t
r
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an
t
to
t
h
is
p
ap
er
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d
n
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t
s
h
o
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n
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h
e
r
es
u
lt
s
.
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h
e
m
ai
n
elec
tr
ic
al
p
ar
a
m
eter
s
o
f
t
h
e
s
y
s
te
m
ar
e
g
iv
e
n
i
n
[
10
]
.
P
ar
am
eter
s
o
f
DSOGI
-
F
L
L
:
Γ
=1
0
0
(
g
ain
to
th
e
s
ettli
n
g
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m
e
o
f
th
e
F
L
L
b
lo
ck
)
k
=
2
(
g
ain
o
f
t
h
e
SOGI
)
T
h
e
s
y
s
te
m
is
a
n
al
y
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ed
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s
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d
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T
ab
le
1
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T
ab
le
1
.
C
ase
Si
m
u
latio
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St
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y
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f
VFDP
C
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d
M
-
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C
C
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se
P
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w
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s)
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1
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s
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st
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t
)
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t
c
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f
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l
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e
r
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
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2252
-
8792
I
n
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A
p
p
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1
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3
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40
4
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1
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Si
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ca
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1
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5
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n
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h
ar
m
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s
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d
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t
h
e
g
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id
v
o
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e
at
(
t=
1
to
1
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2
s
)
F
ig
u
r
e
5
(
a
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cr
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tes
less
p
u
l
s
atio
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ter
m
s
i
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o
u
tp
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t
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li
n
k
v
o
lta
g
e
,
th
e
f
r
eq
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en
c
y
o
f
th
e
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n
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o
s
cil
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n
s
i
s
(
3
0
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Hz
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as
s
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w
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n
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g
u
r
e
5
f
.
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FD
P
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an
MV
FDP
C
co
n
tr
o
l
s
tr
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in
tr
o
d
u
ce
d
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er
y
g
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o
d
p
er
f
o
r
m
a
n
ce
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n
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er
b
alan
ce
d
o
r
d
is
to
r
ted
v
o
ltag
e
co
n
d
itio
n
w
h
er
e
th
e
ac
tiv
e
p
o
w
er
i
s
s
et
to
th
eir
r
ated
v
a
lu
e
w
it
h
o
u
t
o
s
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io
n
en
v
i
s
a
g
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d
at
th
e
s
a
m
e
ti
m
e
th
e
r
ea
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v
e
p
o
w
er
i
s
m
a
in
tai
n
ed
at
ze
r
o
(
Q=
0
V
AR
)
w
it
h
o
u
t
o
s
cillatio
n
en
v
i
s
a
g
ed
f
i
g
u
r
e
5
(
d
)
,
th
e
g
r
id
cu
r
r
en
t
s
a
n
d
esti
m
ated
v
ir
t
u
al
f
l
u
x
ta
k
es a
s
i
n
u
s
o
id
al
f
o
r
m
u
n
d
er
d
is
to
r
s
ed
g
r
id
v
o
ltag
e
co
n
d
itio
n
s
s
ee
Fi
g
u
r
e
5
(
b
)
&5
(
e
)
.
T
h
e
VFDP
C
b
ased
SOGI
esti
m
ated
s
c
h
e
m
e
w
it
h
i
m
p
r
o
v
ed
s
w
itc
h
in
g
tab
le
d
ev
elo
p
ed
in
[
2
0
]
is
ab
le
to
p
r
o
d
u
ce
al
m
o
s
t
s
in
u
s
o
id
al
p
h
ase
c
u
r
r
en
ts
w
it
h
u
n
it
y
p
o
w
er
f
ac
to
r
(
w
it
h
o
u
t
u
s
in
g
p
o
w
er
co
m
p
e
n
s
atio
n
m
et
h
o
d
s
)
.
Fig
u
r
e
5
.
Si
m
u
latio
n
r
esu
l
ts
f
r
o
m
ca
s
e
1
(
a)
T
h
r
ee
p
h
ase
v
o
lt
ag
e
s
u
p
p
l
y
,
(
b
)
E
s
ti
m
ated
v
ir
t
u
al
f
lu
x
(
an
d
)
,
(
c
)
1
s
t p
h
ase
v
o
ltag
e
an
d
c
u
r
r
en
t
,
(
d
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ac
tiv
e
p
o
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er
(
b
lu
e
c
o
lo
r
)
r
ea
ctiv
e
p
o
w
er
(
r
ed
co
lo
r
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,
(
e
)
G
r
id
cu
r
r
en
ts
,
(
f
)
DC
li
n
k
v
o
lta
g
e
i
n
b
lu
e,
r
ef
er
e
n
ce
DC
v
o
ltag
e
i
n
r
ed
.
4
.
2
.
Si
m
ula
t
io
n r
esu
lt
ca
s
e
2
a.
VFDP
C
an
d
MFVDP
C
w
i
th
o
u
t n
o
tc
h
f
ilter
Fig
u
r
e
6
s
h
o
w
s
t
h
e
b
e
h
av
io
r
o
f
th
e
th
r
ee
p
h
ase
P
W
M
r
ec
ti
f
ier
co
n
tr
o
lled
b
y
th
e
p
r
o
p
o
s
ed
s
tr
ateg
y
u
n
d
er
to
tall
y
u
n
b
alan
ce
d
d
is
t
o
r
te
d
v
o
ltag
e
s
u
p
p
l
y
.
A
t
(
t=0
to
t=
1
s
)
th
e
lin
e
cu
r
r
en
t
s
a
r
e
v
er
y
s
i
n
u
s
o
id
al
Fig
u
r
e
6
(
e)
an
d
t
h
e
to
tal
h
ar
m
o
n
ic
d
is
to
r
tio
n
(
T
HD)
is
o
n
l
y
3
.
3
6
%
Fi
g
u
r
e
8
(
a)
,
d
u
e
to
th
e
e
x
ce
lle
n
t
co
n
tr
o
l
ab
ilit
y
o
f
th
e
V
FDP
C
co
n
tr
o
l
m
et
h
o
d
.
Ho
w
e
v
er
,
th
e
li
n
e
cu
r
r
en
ts
ar
e
s
er
io
u
s
l
y
d
is
to
r
ted
w
h
en
t
h
e
g
r
id
v
o
ltag
e
i
s
u
n
b
alan
ce
d
an
d
d
is
to
r
ted
at
(
t=1
s
to
t=
1
.
0
8
s
)
,
t
h
e
T
HD
is
1
5
.
6
5
%
w
it
h
p
r
o
m
in
en
t
(
3
th
,
5
th
,
7
th
,
9
th
)
o
r
d
er
h
ar
m
o
n
ic
co
m
p
o
n
e
n
t,
as
s
h
o
w
n
i
n
Fig
u
r
e
8
(
b
)
.
Af
ter
i
n
teg
r
at
in
g
t
h
e
p
o
w
er
co
m
p
en
s
atio
n
s
c
h
e
m
e
s
in
to
th
e
VFDP
C
m
et
h
o
d
,
th
e
T
HD
o
f
th
e
lin
e
c
u
r
r
en
t
is
r
e
d
u
ce
d
co
n
s
id
er
ab
l
y
to
o
n
l
y
4
.
2
8
%,
as
s
h
o
w
n
in
Fig
u
r
e
8
(
c)
.
T
h
is
d
em
o
n
s
tr
ate
s
th
e
e
f
f
e
ctiv
e
n
ess
o
f
th
e
p
r
o
p
o
s
ed
MV
FDP
C
s
c
h
e
m
e
f
o
r
p
o
w
er
q
u
alit
y
i
m
p
r
o
v
e
m
en
t.
A
s
s
h
o
w
in
F
ig
u
r
e
6
(
d
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at
(
t=0
s
to
t=1
.
08
s
)
,
all
w
av
e
f
o
r
m
s
o
f
ac
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e
a
n
d
r
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e
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n
s
ta
n
t
at,
n
o
s
i
g
n
i
f
ied
r
ip
p
les.
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w
e
v
er
,
af
ter
in
te
g
r
ati
n
g
MV
FDP
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co
m
p
en
s
atio
n
m
et
h
o
d
w
it
h
o
u
t
n
o
tch
f
ilter
,
th
er
e
ar
e
m
a
n
y
o
s
cil
lati
o
n
s
in
ac
ti
v
e
an
d
r
ea
ctiv
e
p
o
w
er
.
th
e
s
e
in
s
tan
tan
eo
u
s
p
o
w
er
o
s
cillates
at
t
w
ice
th
e
g
r
id
f
r
eq
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e
n
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y
.
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h
e
p
r
esen
ce
o
f
b
o
th
an
u
n
b
alan
ce
a
n
d
a
5
th
h
ar
m
o
n
ic
in
t
h
e
v
o
l
tag
e
s
u
p
p
l
y
cr
ea
tes
p
u
ls
atio
n
ter
m
s
in
t
h
e
o
u
tp
u
t
DC
-
li
n
k
v
o
ltag
e
s
h
o
w
Fi
g
u
r
e
6
(
f
)
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
A
p
p
l P
o
w
er
E
n
g
I
SS
N:
2252
-
8792
I
mp
r
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ve
d
virt
u
a
l flu
x
d
ir
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s
e
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ti
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g
S
OGI
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LL
…
(
A
R
a
h
a
b
)
41
Fig
u
r
e
6
.
Si
m
u
latio
n
r
esu
l
ts
f
r
o
m
C
ase2
(
w
it
h
o
u
t
n
o
tch
f
ilter
)
,
(
a)
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r
ee
p
h
ase
v
o
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e
s
u
p
p
l
y
,
(
b
)
E
s
ti
m
ated
v
ir
tu
a
l f
l
u
x
(
an
d
)
1
s
t p
h
ase
v
o
ltag
e
an
d
cu
r
r
en
t
,
(
d
)
ac
tiv
e
p
o
w
er
(
r
ed
co
lo
r
)
r
ea
ctiv
e
p
o
w
er
(
b
lu
e
co
lo
r
)
,
(
e
)
Gr
id
cu
r
r
en
ts
,
(
f
)
DC
lin
k
v
o
ltag
e
i
n
b
lu
e,
r
ef
er
e
n
ce
DC
v
o
lta
g
e
in
r
ed
.
b.
VFDP
C
an
d
MFVDP
C
w
i
th
o
u
t n
o
tc
h
f
ilter
I
n
th
is
ca
s
e
s
i
m
u
lated
,
th
e
n
o
tch
f
ilter
g
iv
e
s
a
v
er
y
g
o
o
d
i
m
p
r
o
v
e
m
en
t
i
n
v
ie
w
o
f
e
n
er
g
y
q
u
alit
y
,
les
s
o
cilatio
n
,
s
m
o
o
th
D
C
-
lin
k
v
o
l
tag
e
a
n
d
lo
w
er
T
HD
o
f
g
r
id
c
u
r
r
en
ts
as
s
h
o
w
n
i
n
Fig
u
r
e
7
(
c)
an
d
F
ig
u
r
e
8
(
A
-
C
)
r
esp
ec
tiv
el
y
.
Fig
u
r
e
7
.
Si
m
u
latio
n
r
esu
l
ts
f
r
o
m
ca
s
e2
(
w
it
h
n
o
tch
f
ilter
)
(
a)
th
r
ee
p
h
ase
v
o
lta
g
e
s
u
p
p
l
y
(
b
)
E
s
ti
m
ated
v
ir
t
u
al
f
l
u
x
(
an
d
)
,
(
c
)
1
s
t p
h
ase
v
o
lta
g
e
an
d
cu
r
r
en
t
,
(
d
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tiv
e
p
o
w
er
(
r
ed
co
lo
r
)
r
ea
ctiv
e
p
o
w
er
(
b
lu
e
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lo
r
)
,
(
e
)
Gr
id
cu
r
r
en
ts
,
(
f
)
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lin
k
v
o
ltag
e
i
n
b
lu
e,
r
ef
er
e
n
ce
DC
v
o
lta
g
e
in
r
ed
.
Fig
u
r
e
8
.
Sp
ec
tr
a
o
f
g
r
id
cu
r
r
en
ts
i
n
C
a
s
e
2
.
(
a)
Un
d
er
b
alan
ce
d
g
r
id
v
o
ltag
e
co
n
d
itio
n
u
s
i
n
g
V
FDP
C
w
it
h
o
u
t
n
o
tch
f
ilter
,
(
b
)
Un
d
er
u
n
b
ala
n
ce
d
g
r
id
v
o
ltag
e
co
n
d
itio
n
u
s
i
n
g
V
FDP
C
w
it
h
o
u
t
n
o
tch
f
ilte
r
,
(
c)
Un
d
er
un
b
ala
n
ce
d
g
r
id
v
o
lta
g
e
co
n
d
i
tio
n
u
s
in
g
MV
FDP
C
w
it
h
o
u
t
n
o
tch
f
ilter
,
(
A
)
Un
d
er
b
alan
c
ed
g
r
id
v
o
ltag
e
co
n
d
itio
n
u
s
i
n
g
V
FDP
C
w
it
h
n
o
tch
f
ilter
,
(
B
)
Un
d
er
u
n
b
ala
n
ce
d
g
r
id
v
o
lta
g
e
co
n
d
itio
n
u
s
in
g
VFDP
C
w
it
h
n
o
tch
f
ilter
,
(
C
)
Un
d
er
u
n
b
ala
n
ce
d
g
r
id
v
o
lta
g
e
co
n
d
iti
o
n
u
s
in
g
M
VFDP
C
w
it
h
n
o
tch
f
ilte
r
.
5.
CO
NCLU
SI
O
N
T
h
is
p
ap
er
h
as
p
r
o
p
o
s
ed
a
m
o
d
if
ied
VFDP
C
s
tr
ate
g
y
f
o
r
a
3
-
p
h
a
s
e
P
W
M
r
ec
tif
ier
s
u
p
p
lied
b
y
a
n
d
is
tu
r
b
ed
v
o
lta
g
e
s
o
u
r
ce
.
I
n
o
r
d
er
to
o
b
tain
b
alan
ce
d
a
n
d
s
i
n
u
s
o
id
al
g
r
id
cu
r
r
e
n
ts
u
n
d
er
in
ap
p
r
o
p
r
iate
v
o
ltag
e
co
n
d
itio
n
s
,
co
m
p
en
s
ated
p
o
w
er
s
ar
e
ca
lc
u
lated
a
n
d
ad
d
ed
to
th
e
o
r
i
g
in
a
l r
ef
er
e
n
ce
p
o
w
er
to
ac
h
ie
v
e
b
alan
ce
d
an
d
h
i
g
h
q
u
alit
y
in
p
u
t c
u
r
r
en
t.
T
h
e
p
h
ase,
p
o
s
itiv
e,
n
eg
ati
v
e,
h
ar
m
o
n
ic
s
eq
u
en
ce
s
f
o
r
v
o
lt
ag
e
s
an
d
cu
r
r
en
t
s
,
est
i
m
a
ted
v
ir
tu
al
f
l
u
x
an
d
n
o
tc
h
f
ilter
s
c
h
e
me
,
ar
e
b
ased
o
n
t
h
e
SOGI
-
F
L
L
te
ch
n
iq
u
e.
T
h
e
p
r
o
p
o
s
ed
s
tr
ateg
y
is
v
er
i
f
ied
b
y
s
i
m
u
lat
io
n
f
o
r
th
o
ca
s
es,
w
h
ic
h
ar
e
b
alan
ce
d
/
d
is
to
r
ted
v
o
lta
g
e,
an
d
s
i
m
u
lta
n
eo
u
s
l
y
u
n
b
alan
ce
d
an
d
d
is
to
r
ted
v
o
ltag
e.
I
t p
r
o
v
es i
ts
ca
p
ab
ilit
y
o
f
y
ield
i
n
g
s
i
n
u
s
o
id
al
an
d
b
alan
ce
d
g
r
id
cu
r
r
e
n
t
w
it
h
u
n
i
t
y
p
o
w
er
f
ac
to
r
u
n
d
er
d
is
tu
r
b
ed
s
o
u
r
ce
co
n
d
itio
n
.
VFDP
C
ap
p
r
o
ac
h
in
co
m
b
i
n
atio
n
w
it
h
a
DS
OGI
esti
m
ato
r
an
d
i
m
p
r
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v
ed
s
w
itc
h
in
g
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le
ca
n
ad
d
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ess
p
er
f
ec
tl
y
b
alan
ce
d
/d
is
to
r
ted
g
r
i
d
v
o
ltag
e
co
n
d
itio
n
b
ec
au
s
e
t
h
is
esti
m
ato
r
i
s
a
n
atu
r
al
f
il
ter
f
o
r
h
ar
m
o
n
o
cs;
m
ea
n
w
h
ile
it
s
u
f
f
er
s
a
n
d
g
i
v
es
u
n
s
ati
s
f
ied
p
er
f
o
r
m
an
ce
d
u
r
in
g
u
n
b
alan
ce
d
p
o
w
er
s
u
p
p
l
y
co
n
d
it
io
n
.
I
n
o
r
d
er
to
o
v
er
co
m
e
th
is
d
i
s
ad
v
an
tag
e,
w
e
h
a
v
e
p
r
o
p
o
s
ed
an
M
VFDP
C
a
n
d
n
o
tc
h
DC
-
li
n
k
v
o
lta
g
e
f
i
lter
ap
p
r
o
a
ch
w
it
h
co
m
p
e
n
s
ated
p
o
w
er
s
w
i
th
i
n
te
g
r
ati
n
g
n
o
tch
DC
-
l
in
k
v
o
lta
g
e
f
ilter
,
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8792
I
n
t J
A
p
p
l P
o
w
er
E
n
g
,
Vo
l.
8
,
No
.
1
,
A
p
r
il 2
0
1
9
:
3
4
–
42
42
o
b
tain
in
g
a
v
er
y
g
o
o
d
p
o
w
er
q
u
alit
y
w
it
h
a
s
at
is
f
ac
to
r
y
p
o
w
er
f
ac
to
r
,
s
m
o
o
t
h
an
d
a
cc
u
r
ate
DC
-
li
n
k
v
o
lta
g
e
an
d
a
lo
w
T
HD
f
ac
to
r
f
o
r
th
e
i
n
p
u
t c
u
r
r
en
t
w
it
h
i
n
th
e
s
ta
n
d
ar
d
li
m
its
w
h
ate
v
er
th
e
p
o
w
er
g
r
id
.
RE
F
E
R
E
NC
E
S
[1
]
J.
Hu
,
J.
Z
h
u
a
n
d
D.
G
.
Do
rre
ll
,
"
A
c
o
m
p
a
ra
ti
v
e
stu
d
y
o
f
d
irec
t
p
o
w
e
r
c
o
n
tro
l
o
f
A
C/DC
c
o
n
v
e
rters
f
o
r
re
n
e
w
a
b
le
e
n
e
rg
y
g
e
n
e
ra
ti
o
n
,
"
IECON
2
0
1
1
-
3
7
t
h
A
n
n
u
a
l
Co
n
fer
e
n
c
e
o
f
th
e
IEE
E
I
n
d
u
stria
l
El
e
c
tro
n
ics
S
o
c
i
e
ty
,
M
e
lb
o
u
rn
e
,
V
IC,
2
0
1
1
,
p
p
.
3
5
7
8
-
3
5
8
3
.
[2
]
Ra
h
a
b
A
,
S
e
n
a
n
i
F
,
Be
n
a
ll
a
H.
,
"
Dire
c
t
P
o
w
e
r
Co
n
tr
o
l
o
f
Bru
sh
les
s
Do
u
b
ly
-
F
e
d
In
d
u
c
ti
o
n
G
e
n
e
ra
to
r
Us
e
d
in
W
in
d
En
e
rg
y
Co
n
v
e
rsio
n
S
y
ste
m
,
"
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
Po
we
r
E
lec
tr
o
n
ics
a
n
d
Dr
ive
S
y
ste
m
(
IJ
PE
DS
)
,
v
o
l
8
,
n
o
.
1
,
p
p
.
4
1
7
-
433
,
2
0
1
7
.
[3
]
A
ll
a
g
u
i
M
,
Ha
sn
a
o
u
i
O.
,
"
A
2
M
W
d
irec
t
d
riv
e
w
in
d
tu
rb
i
n
e
v
e
c
to
r
c
o
n
tr
o
l
a
n
d
d
irec
t
to
rq
u
e
c
o
n
tro
l
tec
h
n
i
q
u
e
s
c
o
m
p
a
riso
n
,"
J
o
u
rn
a
l
o
f
En
e
rg
y
i
n
S
o
u
t
h
e
rn
A
frica
,
v
o
l
2
5
,
n
o
.
2
,
p
p
.
1
1
7
-
1
2
6
,
2
0
1
4
.
[4
]
A
.
R.
P
ra
sa
d
,
P
.
D.
Zi
o
g
a
s
a
n
d
S
.
M
a
n
ias
,
"
A
n
a
c
ti
v
e
p
o
w
e
r
fa
c
to
r
c
o
rre
c
ti
o
n
tec
h
n
i
q
u
e
f
o
r
t
h
r
e
e
-
p
h
a
se
d
io
d
e
re
c
ti
f
ier
s,"
in
IEE
E
T
r
a
n
sa
c
t
io
n
s
o
n
P
o
we
r E
lec
tro
n
ics
,
v
o
l.
6
,
n
o
.
1
,
p
p
.
8
3
-
9
2
,
Ja
n
.
1
9
9
1
.
[5
]
No
r
A
z
iza
h
Yu
so
ff
,
A
z
z
id
d
in
M
.
Ra
z
a
li
,
Ka
sru
l
A
b
d
u
l
Ka
rim
,
T
o
l
e
S
u
ti
k
n
o
,
A
u
z
a
n
i
Ji
d
in
,
"
A
Co
n
c
e
p
t
o
f
V
ir
tu
a
l
-
F
lu
x
Dire
c
t
P
o
w
e
r
Co
n
tro
l
o
f
Th
re
e
-
P
h
a
se
A
C
-
DC
Co
n
v
e
rter
,
"
In
ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
o
f
Po
we
r
El
e
c
tro
n
ics
a
n
d
Dr
ive
S
y
ste
m
(
IJ
PE
DS
)
,
v
o
l
8
,
n
o
.
4
,
p
p
.
1
7
7
6
-
1
7
8
4
,
2
0
1
7
.
[6
]
P
.
V
e
rd
e
lh
o
a
n
d
G
.
D.
M
a
rq
u
e
s,
"
DC
v
o
lt
a
g
e
c
o
n
tro
l
a
n
d
sta
b
il
it
y
a
n
a
ly
sis
o
f
P
W
M
-
v
o
lt
a
g
e
-
ty
p
e
re
v
e
rsib
le
re
c
ti
f
ier
s,"
in
IEE
E
T
r
a
n
sa
c
t
io
n
s
o
n
I
n
d
u
stria
l
El
e
c
tro
n
ics
,
v
o
l.
4
5
,
n
o
.
2
,
p
p
.
2
6
3
-
2
7
3
,
A
p
ril
1
9
9
8
.
[7
]
L
i
X
ian
g
,
Ha
n
M
i
n
x
iao
.
,
"
Dire
c
t
V
irt
u
a
l
P
o
w
e
r
Co
n
tr
o
l
,
"
T
E
L
KOM
NIKA
In
d
o
n
e
sia
n
J
o
u
rn
a
l
o
f
El
e
c
trica
l
En
g
i
n
e
e
rin
g
,
v
o
l.
1
2
,
n
o
.
7
,
p
p
.
5
1
4
4
-
5
1
5
3
,
2
0
1
4
.
[8
]
M
.
M
o
h
se
n
i,
S
.
M
.
Isla
m
a
n
d
M
.
A
.
S
.
M
a
so
u
m
,
"
En
h
a
n
c
e
d
H
y
ste
r
e
sis
-
Ba
se
d
Cu
rre
n
t
Re
g
u
lato
rs i
n
V
e
c
to
r
Co
n
tr
o
l
o
f
DFIG
W
in
d
T
u
rb
in
e
s,"
i
n
IEE
E
T
ra
n
sa
c
ti
o
n
s o
n
P
o
we
r E
lec
tro
n
ics
,
v
o
l.
2
6
,
n
o
.
1
,
p
p
.
2
2
3
-
2
3
4
,
J
a
n
.
2
0
1
1
.
[9
]
T
.
No
g
u
c
h
i,
H.
T
o
m
ik
i,
S
.
Ko
n
d
o
a
n
d
I.
T
a
k
a
h
a
sh
i,
"
Dir
e
c
t
p
o
w
e
r
c
o
n
tro
l
o
f
P
W
M
c
o
n
v
e
rter w
it
h
o
u
t
p
o
w
e
r
-
so
u
rc
e
v
o
lt
a
g
e
se
n
so
rs,"
in
IEE
E
T
ra
n
s
a
c
ti
o
n
s
o
n
I
n
d
u
stry
Ap
p
li
c
a
t
io
n
s
,
v
o
l.
3
4
,
n
o
.
3
,
p
p
.
4
7
3
-
4
7
9
,
M
a
y
-
J
u
n
e
1
9
9
8
.
[1
0
]
M
a
li
n
o
w
sk
i
M
,
Ka
z
m
ier
k
o
w
sk
i
M
.
,
"
S
im
p
le
Dire
c
t
P
o
w
e
r
Co
n
tr
o
l
o
f
T
h
re
e
-
P
h
a
se
P
W
M
Re
c
ti
f
i
e
r
Us
in
g
S
p
a
c
e
V
e
c
to
r
M
o
d
u
lati
o
n
’A
Co
m
p
a
ra
ti
v
e
S
t
udy
,
"
Eu
ro
p
e
a
n
Po
we
r E
lec
t
ro
n
ics
a
n
d
Dr
ive
s
.
2
0
1
5
,
p
p
.
27
-
34
.
[1
1
]
M
.
M
a
li
n
o
w
sk
i,
M
.
P
.
Ka
z
m
ier
k
o
w
s
k
i,
S
.
Ha
n
se
n
,
F
.
Blaa
b
jerg
a
n
d
G
.
D.
M
a
rq
u
e
s,
"
V
irt
u
a
l
-
f
lu
x
-
b
a
se
d
d
irec
t
p
o
w
e
r
c
o
n
tro
l
o
f
th
re
e
-
p
h
a
se
P
W
M
re
c
ti
f
iers
,
"
in
IEE
E
T
ra
n
s
a
c
ti
o
n
s
o
n
In
d
u
stry
A
p
p
li
c
a
ti
o
n
s
,
v
o
l
.
3
7
,
n
o
.
4
,
p
p
.
1
0
1
9
-
1
0
2
7
,
J
u
ly
-
A
u
g
.
2
0
0
1
.
[1
2
]
Bu
W
,
X
u
L
.
,
"
Dire
c
t
P
o
w
e
r
Co
n
t
ro
l
S
trate
g
y
o
f
P
W
M
re
c
ti
f
ier Bas
e
d
o
n
Im
p
ro
v
e
d
V
ir
tu
a
l
F
l
u
x
-
L
in
k
a
g
e
o
b
se
rv
e
r,
"
J
o
u
rn
a
l
o
f
Co
n
tro
l
S
c
ien
c
e
a
n
d
E
n
g
i
n
e
e
rin
g
,
v
o
l
2
0
1
7
,
p
p
.
1
-
9
v
o
l
u
m
e
,
2
0
1
7
.
[1
3
]
M
.
B.
Ke
tze
r
a
n
d
C
.
B.
Ja
c
o
b
in
a
,
"
S
e
n
so
rles
s
Co
n
tr
o
l
T
e
c
h
n
i
q
u
e
f
o
r
P
W
M
Re
c
ti
f
i
e
rs
W
it
h
V
o
lt
a
g
e
Distu
rb
a
n
c
e
Re
jec
ti
o
n
a
n
d
A
d
a
p
ti
v
e
P
o
w
e
r
F
a
c
to
r,
"
in
IEE
E
T
r
a
n
sa
c
ti
o
n
s
o
n
In
d
u
stria
l
El
e
c
tro
n
ics
,
v
o
l.
6
2
,
n
o
.
2
,
p
p
.
1
1
4
0
-
1
1
5
1
,
F
e
b
.
2
0
1
5
.
[1
4
]
W
U
F
J,
W
a
n
g
Z
W
,
S
u
n
L
.
,
"
I
m
p
ro
v
e
d
v
irt
u
a
l
f
lu
x
o
rien
ted
v
e
c
to
r
c
o
n
tr
o
l
o
f
P
W
M
re
c
ti
f
ier,"
J
o
u
rn
a
l
El
e
c
tric
M
a
c
h
in
e
s a
n
d
c
o
n
tr
o
l
,
v
o
l
5
,
p
p
.
5
0
4
-
5
0
8
,
2
0
0
8
.
[1
5
]
J.
A
.
S
u
u
l,
A
.
L
u
n
a
,
P
.
Ro
d
ríg
u
e
z
a
n
d
T
.
Un
d
e
lan
d
,
"
V
irt
u
a
l
-
F
lu
x
-
Ba
se
d
V
o
lt
a
g
e
-
S
e
n
so
r
-
L
e
ss
P
o
w
e
r
Co
n
tro
l
f
o
r
Un
b
a
lan
c
e
d
G
rid
Co
n
d
it
i
o
n
s
,
"
in
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
P
o
we
r
E
lec
tro
n
ics
,
v
o
l.
2
7
,
n
o
.
9
,
p
p
.
4
0
7
1
-
4
0
8
7
,
S
e
p
t.
2
0
1
2
.
[1
6
]
R.
Zh
a
o
,
Z.
Xin
,
P
.
C.
L
o
h
a
n
d
F
.
Blaa
b
jerg
,
"
A
n
o
v
e
l
f
lu
x
e
st
im
a
to
r
b
a
se
d
o
n
S
O
G
I
w
it
h
F
LL
f
o
r
in
d
u
c
ti
o
n
m
a
c
h
in
e
d
riv
e
s,"
2
0
1
6
IEE
E
A
p
p
li
e
d
P
o
we
r
El
e
c
tro
n
ics
Co
n
fer
e
n
c
e
a
n
d
Ex
p
o
siti
o
n
(
AP
EC)
,
L
o
n
g
Be
a
c
h
,
C
A
,
2
0
1
6
,
p
p
.
1
9
9
5
-
2
0
0
2
.
[1
7
]
R.
Zh
a
o
,
Z.
X
i
n
,
P
.
C.
L
o
h
a
n
d
F
.
Blaa
b
jerg
,
"
A
No
v
e
l
F
lu
x
Esti
m
a
to
r
Ba
se
d
o
n
M
u
lt
i
p
le
S
e
c
o
n
d
-
Ord
e
r
G
e
n
e
r
a
li
z
e
d
In
teg
ra
to
rs
a
n
d
F
re
q
u
e
n
c
y
-
L
o
c
k
e
d
L
o
o
p
f
o
r
In
d
u
c
ti
o
n
M
o
to
r
Driv
e
s,"
in
IEE
E
T
ra
n
s
a
c
ti
o
n
s
o
n
Po
we
r
El
e
c
tro
n
ics
,
v
o
l.
3
2
,
n
o
.
8
,
p
p
.
6
2
8
6
-
6
2
9
6
,
A
u
g
.
2
0
1
7
.
[1
8
]
BU
W
,
X
u
L
.
,
"
Im
p
ro
v
e
d
V
irt
u
a
l
-
F
lu
x
-
L
in
k
a
g
e
Ob
se
r
v
a
ti
o
n
m
e
t
h
o
d
o
f
P
W
M
Re
c
ti
f
ier,"
Ap
p
li
e
d
M
e
c
h
a
n
ics
a
n
d
M
a
ter
ia
ls
,
v
o
l.
6
7
8
,
p
p
.
5
2
8
-
5
3
2
,
2
0
1
4
.
[1
9
]
A
.
M
.
Ra
z
a
li
,
M
.
A
.
Ra
h
m
a
n
,
G
.
G
e
o
rg
e
a
n
d
N.
A
.
Ra
h
im
,
"
A
n
a
l
y
sis
a
n
d
De
sig
n
o
f
Ne
w
S
w
it
c
h
in
g
L
o
o
k
u
p
T
a
b
le
f
o
r
V
irt
u
a
l
F
l
u
x
Dire
c
t
P
o
w
e
r
Co
n
tr
o
l
o
f
G
rid
-
Co
n
n
e
c
ted
T
h
re
e
-
P
h
a
se
P
W
M
A
C
–
DC
Co
n
v
e
rter,"
in
IEE
E
T
ra
n
sa
c
ti
o
n
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