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in
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(
I
J
E
CE
)
Vo
l.
10
,
No
.
1
,
Feb
r
u
ar
y
2020
,
p
p
.
1
0
5
~
1
1
6
I
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VR
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m
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cl
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m
ac
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ty
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s
u
b
s
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n
tial
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h
e
s
h
ap
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ab
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m
o
d
e
w
ith
a
f
au
lt
i
n
o
n
e
o
f
its
p
h
ases
[
1
]
.
O
n
t
h
e
o
th
er
h
a
n
d
,
its
m
aj
o
r
d
r
aw
b
ac
k
s
ar
e
th
e
f
l
u
ctu
a
tio
n
s
o
f
th
e
co
u
p
le
a
n
d
th
e
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o
u
s
tic
n
o
i
s
e
th
at
t
h
e
y
p
r
o
d
u
ce
[
2
]
.
T
h
is
m
ac
h
i
n
e
p
r
esen
t
s
an
a
lte
r
n
ativ
e
in
a
m
u
ltit
u
d
e
o
f
ap
p
l
icatio
n
s
.
I
t
o
cc
u
p
ie
s
an
i
m
p
o
r
tan
t
p
lace
esp
ec
iall
y
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o
r
ap
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licatio
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s
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ip
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ap
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s
,
elec
tr
ic
v
e
h
icles a
n
d
ae
r
o
s
p
ac
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f
ield
[
3
,
4
].
T
h
e
VR
M
is
an
elec
tr
o
m
a
g
n
etic
s
y
s
te
m
i
n
v
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m
ec
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ical
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u
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h
e
m
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d
s
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s
ed
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o
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th
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c
o
n
s
tr
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ct
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n
o
f
t
h
e
VR
M
w
er
e
f
o
r
m
er
l
y
e
m
p
ir
ical;
it
w
a
s
n
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s
ar
y
to
b
u
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th
e
m
ac
h
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n
e,
to
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k
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ts
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en
t
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n
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m
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n
ate
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y
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h
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v
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io
u
s
p
r
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lem
s
a
n
d
f
au
l
ts
en
co
u
n
ter
ed
.
T
h
at
w
a
y
i
s
u
n
f
o
r
tu
n
ate
l
y
e
x
p
en
s
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v
e
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d
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t
ta
k
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o
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ti
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e
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d
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it.
W
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th
e
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ev
elo
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m
en
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m
p
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ti
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g
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d
m
o
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to
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ls
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th
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co
s
t
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n
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ti
m
e
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m
p
letio
n
h
a
v
e
b
ee
n
g
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ea
tl
y
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ed
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ce
d
.
Am
o
n
g
th
ese
m
o
d
eli
n
g
m
et
h
o
d
s
,
o
n
e
ca
n
m
e
n
tio
n
,
th
e
a
n
al
y
tical
m
eth
o
d
s
,
s
o
lv
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t
h
e
Ma
x
w
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q
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atio
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s
,
t
h
e
s
e
m
i
-
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m
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ical
m
eth
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d
s
s
u
c
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as
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NVR
m
et
h
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d
,
th
e
p
er
m
ea
n
c
e
n
et
w
o
r
k
m
et
h
o
d
[
5
]
an
d
th
e
n
u
m
er
ical
m
eth
o
d
s
s
u
c
h
as
th
e
m
et
h
o
d
o
f
FE,
b
o
u
n
d
ar
y
ele
m
e
n
t
s
an
d
f
i
n
ite
d
i
f
f
er
en
ce
s
.
T
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e
c
h
o
ice
o
f
t
h
e
m
et
h
o
d
d
ep
en
d
s
o
n
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
10
,
No
.
1
,
Feb
r
u
ar
y
2
0
2
0
:
105
-
1
16
106
th
e
n
ee
d
s
a
n
d
co
n
s
tr
ai
n
t
s
o
f
t
h
e
ap
p
licatio
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.
T
h
e
a
u
th
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s
[
6
]
,
p
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ted
an
FE
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b
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m
e
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tatic
to
r
q
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a
8
/6
VR
M.
Desp
ite
its
r
o
b
u
s
t
n
ess
a
n
d
h
i
g
h
r
eliab
ilit
y
,
th
e
V
R
M
is
s
u
b
j
ec
t
to
s
ev
er
al
f
au
lts
t
h
at
ca
n
af
f
ec
t
th
e
m
ec
h
a
n
ical,
elec
tr
ical
a
n
d
co
n
tr
o
l p
ar
ts
o
r
p
o
s
s
ib
ly
co
m
b
in
ed
f
a
u
lt
s
[
7
,
8
]
.
T
h
e
VR
M
is
ex
p
o
s
ed
to
v
ar
io
u
s
an
d
v
ar
ied
f
a
u
lt
s
s
u
ch
a
s
:
s
ta
tic
an
d
d
y
n
a
m
ic
ec
ce
n
tr
icit
y
[
9
]
,
s
h
o
r
t
-
cir
cu
it
f
a
u
lt
b
et
w
ee
n
tu
r
n
s
a
n
d
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h
o
r
t
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cir
cu
it
b
et
w
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n
p
h
ase
s
,
b
ea
r
in
g
f
a
u
lts
,
etc.
T
h
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m
aj
o
r
f
au
lt
s
ar
e
d
u
e
to
a
v
ar
iety
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f
ca
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s
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ciate
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w
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a
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f
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f
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l
ts
f
o
u
n
d
i
n
a
V
R
M.
Fo
r
m
ac
h
in
e
s
w
i
th
lo
w
er
p
o
wer
,
s
tato
r
f
a
u
lt
s
ar
e
less
f
r
eq
u
e
n
t,
w
h
i
le
th
e
b
ea
r
i
n
g
f
a
u
lts
a
n
d
r
o
to
r
f
au
l
ts
ar
e
p
r
ep
o
n
d
er
an
t
f
o
r
h
ig
h
-
s
p
ee
d
m
ac
h
in
e
s
.
Fi
g
u
r
e
1
illu
s
tr
ates t
h
e
v
ar
io
u
s
f
a
u
lt
s
t
h
at
ca
n
o
cc
u
r
in
a
V
R
M
[
10
].
Fig
u
r
e
1
.
Dis
tr
ib
u
tio
n
o
f
f
a
u
lt
s
in
a
VR
M
Sev
er
al
s
tu
d
ie
s
h
a
v
e
b
ee
n
d
ev
o
ted
to
th
e
d
ia
g
n
o
s
is
o
f
f
au
lts
in
th
e
VR
M.
T
h
e
a
u
t
h
o
r
in
[
11
]
p
r
esen
ted
a
n
e
w
a
lg
o
r
it
h
m
f
o
r
th
e
r
ea
l
-
ti
m
e
d
ia
g
n
o
s
is
o
f
p
o
w
er
co
n
v
er
ter
f
a
u
lts
in
V
R
M.
T
h
e
p
r
esen
ted
tech
n
iq
u
e
u
s
es
o
n
l
y
th
e
m
ea
s
u
r
ed
p
h
ase
cu
r
r
e
n
ts
.
I
n
[
12
]
,
th
e
au
t
h
o
r
s
d
escr
ib
ed
a
2
D
FE
an
al
y
s
is
o
f
a
V
R
M
w
it
h
t
h
e
s
tatic
ec
ce
n
tr
icit
y
.
T
h
ey
s
h
o
w
t
h
e
i
n
f
l
u
en
ce
o
f
th
e
ec
ce
n
tr
icit
y
o
n
t
h
e
s
ta
ti
c
ch
ar
ac
ter
is
tic
s
o
f
th
e
m
o
to
r
an
d
t
h
e
y
ex
p
lai
n
h
o
w
to
o
b
tain
t
h
e
f
lu
x
l
in
e
s
a
n
d
th
e
an
g
u
lar
p
o
s
itio
n
o
f
t
h
e
r
o
to
r
ac
co
r
d
in
g
to
th
e
h
ea
lt
h
y
an
d
f
a
u
lt
y
s
tates
o
f
t
h
e
V
R
M.
T
h
e
r
esear
ch
wo
r
k
p
u
b
lis
h
ed
i
n
[
1
3
]
,
p
r
esen
t
ed
a
n
e
w
m
et
h
o
d
o
f
d
iag
n
o
s
i
s
o
f
ec
ce
n
tr
icit
y
in
a
VR
M.
T
h
e
m
et
h
o
d
u
s
es
2
D
F
E
an
al
y
s
is
to
ca
lc
u
late
m
u
t
u
al
f
lu
x
e
s
an
d
in
d
u
ce
d
v
o
ltag
e
s
i
n
an
8
/6
VR
M.
T
h
e
au
th
o
r
s
i
n
r
e
f
er
en
ce
[
1
4
]
d
escr
ib
ed
a
s
tu
d
y
o
n
t
h
e
e
f
f
ec
ts
o
f
t
h
e
r
o
to
r
ec
ce
n
tr
icit
y
o
n
to
r
q
u
e
in
a
4
-
p
h
ase
8
/6
VR
M.
Dif
f
er
en
t
ti
m
e
-
f
r
eq
u
e
n
c
y
m
et
h
o
d
s
s
u
ch
as
th
e
W
i
g
n
er
-
Vi
ll
e
d
is
tr
ib
u
tio
n
(
W
VD)
an
d
t
h
e
s
h
o
r
t
-
ter
m
Fo
u
r
ier
tr
an
s
f
o
r
m
(
ST
FT
)
a
r
e
u
s
ed
in
[
1
5
]
f
o
r
f
au
lt
d
etec
tio
n
.
A
s
tu
d
y
p
r
ese
n
ted
in
[
1
6
]
,
co
n
s
is
ts
o
f
s
t
u
d
y
in
g
v
ar
io
u
s
elec
tr
ica
l
f
a
u
lt
s
s
u
ch
a
s
s
h
o
r
t
-
cir
cu
it
a
n
d
o
p
en
-
ci
r
c
u
it
in
t
h
e
V
R
M.
T
h
e
p
ap
e
r
in
[
1
7
]
d
escr
ib
es
th
e
ar
ti
f
icial
n
eu
r
al
n
et
w
o
r
k
(
A
NN)
co
m
b
in
ed
w
it
h
t
h
e
g
en
etic
ap
p
r
o
ac
h
(
G
A
)
f
o
r
t
h
e
d
etec
tio
n
o
f
f
au
lts
r
elate
d
to
th
e
w
in
d
i
n
g
o
f
t
h
e
s
tato
r
o
f
th
e
V
R
M.
T
h
e
s
a
m
e
a
u
th
o
r
s
d
e
v
elo
p
ed
an
o
th
er
d
iag
n
o
s
tic
m
et
h
o
d
,
f
o
r
th
e
d
etec
tio
n
a
n
d
class
i
f
icatio
n
o
f
s
tato
r
f
au
lt
s
o
f
a
V
R
M
[
1
8
].
R
ea
l
-
ti
m
e
m
o
n
ito
r
in
g
o
f
elec
tr
ical
m
ac
h
i
n
e
s
is
r
ec
o
m
m
e
n
d
ed
to
d
etec
t
f
au
lts
an
d
o
v
er
lo
ad
s
in
m
ac
h
in
e
s
,
esp
ec
iall
y
t
h
o
s
e
o
f
elec
tr
icit
y
g
e
n
er
atio
n
a
n
d
t
h
o
s
e
o
f
h
ig
h
p
o
w
er
d
r
iv
es.
T
h
e
m
ea
s
u
r
ed
s
i
g
n
als
co
n
tain
i
n
g
th
e
s
i
g
n
i
f
ica
n
t
in
f
o
r
m
at
io
n
d
u
e
to
th
e
f
a
u
lt
ar
e
u
s
u
a
ll
y
v
o
ltag
e
s
,
cu
r
r
en
t
s
,
s
p
ee
d
,
v
ib
r
atio
n
s
an
d
n
o
is
e
e
m
is
s
io
n
s
.
T
h
e
d
ev
elo
p
m
e
n
t
o
f
m
o
d
er
n
d
iag
n
o
s
t
ic
m
et
h
o
d
s
is
i
n
cr
ea
s
in
g
d
u
e
to
ad
v
an
ce
s
in
m
icr
o
elec
tr
o
n
i
cs
(
m
icr
o
p
r
o
ce
s
s
o
r
)
an
d
s
i
g
n
al
p
r
o
ce
s
s
i
n
g
.
T
h
e
tech
n
iq
u
e
o
f
s
p
ec
tr
al
an
al
y
s
i
s
o
f
th
e
s
tato
r
cu
r
r
en
t
is
t
h
e
m
o
s
t
u
s
ed
b
ec
au
s
e
it
allo
w
s
n
o
t
o
n
l
y
th
e
d
etec
tio
n
o
f
o
th
er
t
y
p
es
o
f
d
ef
ec
ts
b
u
t
al
s
o
to
o
v
er
co
m
e
ac
ce
s
s
ib
il
it
y
p
r
o
b
lem
s
[1
9
]
.
T
h
e
p
r
o
p
o
s
ed
w
o
r
k
p
r
es
en
te
d
in
th
is
p
ap
er
,
d
escr
ib
es
th
e
s
p
ec
tr
al
an
al
y
s
i
s
o
f
th
e
s
ta
to
r
cu
r
r
en
t
ap
p
lied
to
th
e
d
iag
n
o
s
is
o
f
t
h
e
I
T
SC
f
au
lt
o
f
th
e
V
R
M.
A
s
a
f
ir
s
t
s
tep
,
a
s
i
m
u
la
tio
n
o
f
t
h
e
n
o
n
li
n
ea
r
m
o
d
el
o
f
th
e
VR
M
b
ased
o
n
th
e
r
elu
ctan
ce
n
et
w
o
r
k
m
o
d
eli
n
g
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s
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o
ciate
d
w
it
h
th
e
m
et
h
o
d
o
f
to
o
th
co
n
to
u
r
s
f
o
r
th
e
ca
lc
u
latio
n
o
f
th
e
m
a
g
n
e
ti
c
f
ield
in
t
h
e
g
ap
is
p
r
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te
d
.
A
s
ec
o
n
d
m
o
d
el
b
ased
o
n
th
e
FE
m
et
h
o
d
h
as
also
b
ee
n
d
ev
elo
p
ed
an
d
p
r
o
p
o
s
ed
.
T
h
e
s
i
m
u
latio
n
r
es
u
lts
o
f
th
i
s
latter
m
o
d
el
v
alid
ate
t
h
e
p
r
o
p
o
s
ed
m
o
d
el
b
ased
o
n
th
e
NV
R
m
et
h
o
d
.
Nex
t,
t
h
e
f
o
c
u
s
w
i
ll
b
e
o
n
t
h
e
s
t
u
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y
a
n
d
an
al
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o
f
th
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I
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SC
f
au
lt
b
y
t
h
e
s
p
ec
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al
an
al
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s
is
o
f
th
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s
tato
r
cu
r
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t,
u
s
i
n
g
th
e
Fa
s
t
Fo
u
r
ier
T
r
an
s
f
o
r
m
(
FF
T
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.
Fin
all
y
,
t
h
e
s
i
m
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lat
io
n
r
esu
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s
o
b
tain
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R
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n
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d
th
e
f
a
u
l
t
y
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SC
s
tate
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p
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ted
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2.
M
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VRM
B
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NVR
M
E
T
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O
D
2
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1
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T
he
V
RM
6
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e
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I
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h
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a
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in
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(
6
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p
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ar
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ar
r
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h
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in
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o
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av
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t
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ase
s
f
o
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th
is
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R
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h
e
r
o
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o
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h
as
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o
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s
tac
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ag
n
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s
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it
h
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r
(
4
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alie
n
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Fig
u
r
e
1
.
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w
o
r
ef
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p
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tio
n
s
ar
e
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m
i
n
ed
f
o
r
ea
ch
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h
ase.
T
h
e
o
p
p
o
s
itio
n
p
o
s
itio
n
(
0
°)
w
h
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i
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to
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Nu
m
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ela
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g
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e
n
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e
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to
r
.
Fig
u
r
e
2
.
T
h
e
V
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6
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g
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tr
y
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ied
T
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r
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s
u
p
p
l
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g
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d
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w
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o
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{
(
1
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ter
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3
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g
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d
ar
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ase
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r
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ain
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l
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x
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h
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tato
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r
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p
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co
n
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n
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t a
n
d
is
th
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p
o
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itio
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t
h
e
r
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.
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h
e
r
eso
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tio
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ch
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m
r
eq
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ir
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et
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r
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u
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g
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n
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p
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itio
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et
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ased
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cir
cu
it
an
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its
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m
ea
b
ili
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[
20
,
21
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.
T
h
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t
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R
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b
y
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NV
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m
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Fi
g
u
r
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h
is
m
e
th
o
d
is
k
n
o
w
n
a
s
th
e
u
n
id
ir
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tio
n
al
r
elu
cta
n
ce
n
et
w
o
r
k
s
m
et
h
o
d
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
10
,
No
.
1
,
Feb
r
u
ar
y
2
0
2
0
:
105
-
1
16
108
Fig
u
r
e
3
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q
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t r
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g
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tic
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k
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d
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r
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s
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o
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e
m
en
t.
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r
th
is
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h
e
m
et
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o
d
o
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e
teet
h
co
n
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r
s
p
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m
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s
t
h
en
u
s
ed
f
o
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ap
tab
ilit
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it
h
t
h
e
NV
R
.
2
.
2
.
F
o
r
m
a
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f
t
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net
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v
a
ria
ble r
eluct
a
nce
o
f
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6
/4
VRM
T
h
e
r
elu
ctan
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s
o
f
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h
e
m
ag
n
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ar
ts
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h
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s
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lc
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et
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/4
VR
M
is
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e
n
ce
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b
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as ill
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s
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ated
Fig
u
r
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4
.
Fig
u
r
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4
.
E
q
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c
t
a
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c
i
r
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i
t
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r
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e,
w
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ted
f
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r
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n
o
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e
r
e
lu
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n
ce
s
o
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air
g
ap
f
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et
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o
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e
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s
.
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h
e
ca
lcu
latio
n
o
f
t
h
ese
p
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ea
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s
i
s
d
o
n
e
ac
co
r
d
in
g
to
th
e
f
o
llo
w
i
n
g
s
tep
s
:
[
]
[
]
[
]
(
4
)
W
h
er
e
[
]
is
th
e
m
atr
i
x
o
f
m
ag
n
eto
-
m
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f
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ce
,
[
]
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th
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m
atr
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x
o
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ce
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th
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a
g
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etic
cir
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it
an
d
[
]
is
th
e
m
atr
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x
o
f
f
l
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p
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of
(
4
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is
a
lin
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alg
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r
aic
s
y
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m
.
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r
its
r
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tio
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eth
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ar
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eth
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ak
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ai
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M
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d
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eter
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l
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it
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m
is
d
ep
icted
b
y
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e
f
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llo
w
in
g
Fig
u
r
e
5.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
A
co
mb
in
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v
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109
Fig
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5
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R
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M
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d
th
e
v
ar
iatio
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e
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th
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m
o
v
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en
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tu
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y
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ill
b
e
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o
n
e
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r
o
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g
h
co
m
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ter
-
aid
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d
esig
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(
C
AD)
.
T
h
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(
th
at
is
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ased
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n
t
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C
A
D,
ca
n
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n
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e
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h
e
p
r
o
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u
ctiv
it
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o
f
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esig
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n
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i
m
p
r
o
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t
h
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alit
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o
f
d
esig
n
s
r
es
u
lt
in
g
i
n
a
r
ed
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ctio
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o
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ti
m
e
an
d
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s
t.
No
w
ad
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y
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h
er
e
ar
e
v
er
y
g
o
o
d
s
o
f
t
w
ar
e
s
u
c
h
as:
An
s
o
f
t
M
ax
w
ell,
F
lu
x
2
D
o
r
3
D.
.
.
etc
[
22
]
,
w
h
ic
h
ar
e
all
b
ased
o
n
th
e
FE
m
et
h
o
d
an
d
m
ak
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ap
p
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m
an
y
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h
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ical
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r
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lem
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.
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h
e
an
al
y
s
is
o
f
t
h
e
VR
M
w
i
ll b
e
d
o
n
e
in
o
u
r
ca
s
e
w
ith
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h
e
An
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o
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ell
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r
ac
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f
o
r
a
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lth
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ac
h
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n
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n
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a
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ical
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d
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ag
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ch
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t
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t
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f
o
r
a
f
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m
ac
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(
w
it
h
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f
a
u
lt)
w
h
er
e
s
y
m
m
etr
y
i
s
n
o
lo
n
g
er
v
al
id
.
I
t
is
t
h
u
s
n
ec
e
s
s
ar
y
to
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lize
t
h
e
co
m
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lete
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to
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d
y
it
s
b
eh
av
io
r
w
it
h
f
a
u
lt
[
23
]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
10
,
No
.
1
,
Feb
r
u
ar
y
2
0
2
0
:
105
-
1
16
110
3
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.
VRM
a
na
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y
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is
by
F
E
m
et
ho
d in 2
D
T
h
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D
s
tu
d
y
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ag
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d
y
n
a
m
ic
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s
e
a
n
d
in
t
h
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s
tead
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tate;
h
o
w
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th
i
s
ca
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i
t
i
s
n
ec
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s
ar
y
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ta
k
e
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to
ac
co
u
n
t
th
e
m
o
v
e
m
e
n
t
o
f
t
h
e
r
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to
r
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r
in
g
t
h
e
m
o
v
e
m
e
n
t
o
f
t
h
e
r
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r
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n
ce
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r
a
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ar
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d
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n
a
m
el
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:
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h
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h
i
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,
t
h
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m
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h
d
e
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m
atio
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d
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id
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g
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n
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h
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(
th
e
v
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lu
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f
1
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0
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tr
/
m
i
n
)
.
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is
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5
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7
5
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s
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cc
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Fi
g
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r
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6
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e
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r
t
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s
u
p
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h
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V
R
M,
i
n
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m
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h
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F
E
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ed
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s
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ated
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u
r
e
6
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5
°
Fig
u
r
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Dis
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tio
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in
es a
n
d
in
d
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c
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at
p
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itio
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7
5
°
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
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lec
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C
o
m
p
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g
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N:
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A
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111
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u
r
e
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.
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s
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m
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ai
lu
r
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n
t
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w
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ce
r
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ed
.
I
t c
au
s
es a
s
tato
r
cu
r
r
en
t in
cr
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s
e
i
n
t
h
e
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f
ec
t
ed
p
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n
a
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r
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f
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d
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n
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eq
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e
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tl
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s
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s
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ed
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ce
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.
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n
th
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h
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lth
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te
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m
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f
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N
o
f
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h
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VR
M
s
t
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is
1
0
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r
n
s
.
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t
th
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e
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e,
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e
to
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e
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f
l
u
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n
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f
N.
Use o
f sta
to
r
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r
r
en
t in
d
etec
tio
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f th
e
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TS
C
fa
u
lt
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h
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f
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lt
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th
at
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o
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u
r
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ac
h
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v
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t
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m
p
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t
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f
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eq
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e
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n
ten
t
o
f
th
e
s
tato
r
o
r
r
o
to
r
cu
r
r
en
ts
[
2
4
,
2
5
]
.
T
h
e
ex
tr
ac
tio
n
o
f
th
e
in
f
o
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a
tio
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.
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h
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.
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h
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tech
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10
,
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1
,
Feb
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2
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16
112
5.
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