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t
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l J
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I
J
RA)
Vo
l.
13
,
No
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4
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Dec
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20
24
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p
p
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4
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~
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4
I
SS
N:
2722
-
2
5
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DOI
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v
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4
.
pp
4
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-
484
476
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CC B
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C
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:
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to
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tech
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Sy
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s
ity
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lid
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Alg
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d
z
1.
I
NT
RO
D
UCT
I
O
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R
ec
en
tly
,
th
e
d
o
u
b
ly
-
f
ed
in
d
u
ctio
n
g
e
n
er
ato
r
(
DFI
G)
h
as
b
ee
n
wid
ely
em
p
lo
y
ed
in
win
d
en
e
r
g
y
co
n
v
er
s
io
n
s
y
s
tem
s
[
1
]
–
[
5
]
.
Ma
n
y
s
tu
d
ies
s
h
o
w
th
at
th
e
DFI
G
s
tato
r
win
d
in
g
s
ar
e
s
u
b
ject
to
m
ec
h
a
n
ical,
elec
tr
ical,
an
d
th
er
m
al
s
tr
ess
e
s
[
6
]
–
[
9
]
.
T
h
ese
s
tr
ess
es
p
r
o
d
u
ce
s
tato
r
asy
m
m
etr
y
an
d
s
ev
er
e
ef
f
ec
ts
s
u
ch
as
n
o
is
e,
v
ib
r
atio
n
,
p
u
ls
atin
g
to
r
q
u
e,
an
d
tem
p
er
atu
r
e
r
is
e
[
1
0
]
–
[
1
3
]
.
Fo
r
th
e
d
iag
n
o
s
is
o
f
asy
m
m
etr
ical
DFI
Gs,
s
ev
er
al
ap
p
r
o
ac
h
es
h
av
e
b
ee
n
u
s
ed
in
th
e
liter
atu
r
e.
I
n
th
is
co
n
tex
t,
B
o
th
a
an
d
G
u
le
[
1
4
]
in
v
esti
g
ate
v
ib
r
atio
n
al
an
aly
s
is
.
W
an
g
et
al
.
[
1
5
]
s
u
g
g
est
th
e
u
s
e
o
f
cu
r
r
en
t
s
ig
n
atu
r
e
an
aly
s
is
f
o
r
d
iag
n
o
s
in
g
t
h
e
DFI
Gs.
Sh
ah
et
al
.
[
1
6
]
u
s
e
th
e
r
o
t
o
r
cu
r
r
en
t
s
ig
n
atu
r
e
an
aly
s
is
.
Ma
et
al
.
[
1
7
]
s
u
g
g
est
th
e
r
o
to
r
p
o
wer
s
p
ec
tr
u
m
a
n
aly
s
is
.
T
h
e
ch
allen
g
e
o
f
t
h
ese
m
eth
o
d
s
is
to
s
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t
th
e
ap
p
r
o
p
r
iate
m
o
n
ito
r
in
g
s
ig
n
al.
I
n
[
1
8
]
an
d
[
1
9
]
,
a
d
ap
tiv
e
o
b
s
er
v
er
s
ar
e
u
s
ed
to
d
etec
t
s
tato
r
d
ef
ec
ts
in
DFI
Gs
.
T
h
e
m
o
d
el
-
b
ased
ap
p
r
o
ac
h
es
h
av
e
th
e
p
o
ten
tial
to
p
r
o
d
u
ce
f
alse
alar
m
s
an
d
ar
e
s
en
s
itiv
e
to
p
ar
am
etr
ic
v
ar
iatio
n
.
T
h
e
a
d
v
an
ce
d
ap
p
r
o
ac
h
also
r
elies
o
n
a
r
tific
ial
in
tellig
en
ce
tech
n
i
q
u
es
s
u
ch
as
d
ee
p
lear
n
in
g
[
2
0
]
.
An
o
th
er
ap
p
r
o
ac
h
was a
ls
o
ap
p
lied
to
d
etec
t a
n
d
d
iag
n
o
s
e
f
a
u
lts
in
DFI
G,
wh
ich
is
a
f
u
zz
y
lo
g
ic
-
b
ased
ex
p
er
t
s
y
s
tem
[
2
1
]
.
I
n
ad
d
itio
n
,
a
d
ee
p
n
e
u
r
al
n
etwo
r
k
(
DNN)
h
as
b
ee
n
u
s
ed
f
o
r
f
au
lt
d
iag
n
o
s
is
in
DFI
G
.
Fu
r
th
er
m
o
r
e
,
th
e
tr
ee
alg
o
r
it
h
m
(
DT
A)
h
as
b
ee
n
ap
p
lied
to
d
etec
t
f
au
lts
in
th
e
g
en
er
ato
r
b
y
id
e
n
tify
in
g
d
is
tin
ct
ch
ar
ac
ter
is
tics
with
in
th
e
s
tato
r
cu
r
r
en
t
s
ig
n
als
[
2
2
]
.
Desp
ite
th
e
ef
f
ec
tiv
e
r
o
le
o
f
th
ese
ad
v
an
ce
d
tech
n
iq
u
es
in
th
e
d
iag
n
o
s
is
o
f
DFI
Gs,
th
ey
ar
e
co
m
p
le
x
an
d
d
if
f
icu
lt to
im
p
lem
e
n
t in
p
r
ac
t
ice.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
AE
S
I
n
t
J
R
o
b
&
A
u
to
m
I
SS
N:
2722
-
2
5
8
6
Th
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r
etica
l a
n
d
ex
p
erimen
ta
l
a
n
a
lysi
s
o
f u
n
b
a
la
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ce
d
d
o
u
b
ly
fed
in
d
u
ctio
n
g
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to
r
s
(
Ya
a
ko
u
b
Dib
o
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n
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)
477
Fo
r
th
e
m
o
d
elin
g
o
f
u
n
b
ala
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ce
d
DFI
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th
e
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wn
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is
th
e
f
in
ite
ele
m
e
n
t
m
eth
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(
FEM
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[
2
3
]
.
I
t
i
s
an
in
teg
r
ated
ap
p
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o
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h
th
at
ac
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o
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a
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o
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in
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k
in
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th
e
d
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n
o
f
th
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r
o
to
r
s
lo
ts
,
a
n
d
th
e
s
p
atial
d
is
tr
ib
u
tio
n
o
f
th
e
r
o
to
r
an
d
s
tato
r
win
d
in
g
s
.
T
h
is
allo
ws
f
o
r
an
ac
cu
r
ate
ca
lcu
latio
n
o
f
p
ar
a
m
eter
s
an
d
p
er
f
o
r
m
an
ce
.
T
h
e
s
ec
o
n
d
s
tr
ateg
y
is
p
r
ed
icate
d
o
n
th
e
s
y
m
m
etr
ical
co
m
p
o
n
en
ts
tech
n
iq
u
e,
wh
ich
is
u
s
ed
f
o
r
th
e
m
o
d
elin
g
o
f
th
e
s
tead
y
s
tate
o
p
er
atio
n
o
f
u
n
b
alan
ce
d
g
e
n
er
ato
r
s
[
2
4
]
.
H
o
wev
er
,
t
h
ese
m
eth
o
d
s
r
eq
u
ir
e
a
l
o
n
g
s
im
u
latio
n
tim
e
.
T
h
is
p
ap
er
p
r
o
p
o
s
es
a
n
o
v
el
ap
p
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o
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ased
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th
e
s
tate
m
o
d
el
ap
p
r
o
ac
h
[
2
5
]
.
T
h
is
m
o
d
el
ac
c
o
u
n
ts
f
o
r
th
e
in
cr
ea
s
e
in
s
tato
r
c
u
r
r
e
n
ts
an
d
v
o
ltag
es
u
n
d
er
asy
m
m
etr
ical
co
n
d
itio
n
s
.
T
o
d
etec
t
u
n
b
alan
ce
d
co
n
d
itio
n
s
,
t
h
e
s
p
ec
tr
u
m
an
aly
s
is
o
f
th
e
s
tato
r
cu
r
r
en
ts
a
n
d
v
o
ltag
es
c
an
b
e
co
n
s
id
er
e
d
as
an
in
ter
e
s
tin
g
to
o
l.
T
h
is
ap
p
r
o
ac
h
h
as
s
ev
er
al
ad
v
a
n
tag
es.
Firstl
y
,
it
ca
n
b
e
ex
p
an
d
ed
f
o
r
th
e
an
aly
s
is
o
f
s
ev
er
al
f
a
u
lts
in
DFI
G.
I
n
ad
d
itio
n
,
it
p
r
o
v
i
d
es
g
o
o
d
ac
c
u
r
ac
y
an
d
o
p
tim
al
s
im
u
latio
n
tim
e
co
m
p
ar
is
o
n
to
s
y
m
m
etr
ic
co
m
p
o
n
e
n
ts
an
d
f
in
ite
elem
en
t
m
eth
o
d
s
[
2
6
]
–
[
2
9
]
.
T
h
e
s
im
u
latio
n
r
esu
lts
b
y
MA
T
L
AB
an
d
p
r
ac
tical
e
x
p
er
im
e
n
ts
d
em
o
n
s
tr
ate
th
e
ac
cu
r
ac
y
an
d
c
o
n
s
is
ten
cy
o
f
th
is
n
o
v
el
ap
p
r
o
ac
h
f
o
r
an
aly
z
in
g
th
e
DFI
G
o
p
e
r
atio
n
u
n
d
er
u
n
b
alan
ce
d
lo
ad
c
o
n
d
itio
n
s
.
2.
E
Q
UAT
I
O
NS O
F
DF
I
G
2
.
1
.
E
qu
a
t
io
ns
f
o
r
s
t
a
t
o
r
v
o
l
t
a
g
e
T
o
illu
s
tr
ate
th
is
ap
p
r
o
ac
h
,
a
s
tar
-
co
n
n
ec
ted
DFI
G
h
as
b
ee
n
co
n
s
id
er
e
d
as
in
Fig
u
r
e
1
.
Un
d
er
asy
m
m
etr
ical
co
n
d
itio
n
s
,
th
e
lin
e
to
lin
e
v
o
ltag
es
s
h
o
u
ld
b
e
u
s
ed
as
in
p
u
ts
in
th
e
s
tato
r
s
tate
v
o
ltag
e
[
3
0
]
.
T
h
er
ef
o
r
e,
th
e
s
tato
r
v
o
ltag
e
is
ex
p
r
ess
ed
b
y
(
1
)
,
[
Ф
]
=
[
]
.
[
]
+
[
]
(
1
)
with
[
]
=
[
−
0
0
−
−
0
]
(
2
)
[
]
is
th
e
m
atr
ix
o
f
s
tato
r
r
esis
tan
ce
s
.
B
ased
o
n
Oh
m
’
s
law,
we
g
et:
[
]
=
−
[
]
.
[
]
(
3
)
with
[
]
=
[
0
0
0
0
0
0
]
4
(
)
[
]
=
[
]
,
an
d
ar
e
th
e
lin
e
cu
r
r
en
ts
,
an
d
ar
e
th
e
lo
a
d
r
esis
tan
ce
s
T
h
e
lin
e
-
to
-
lin
e
v
o
ltag
es a
r
e
e
x
p
r
ess
ed
b
y
(
5
)
:
[
]
=
[
]
.
[
]
(
5
)
w
h
er
e
[
]
=
[
]
,
[
]
=
[
]
,
,
an
d
ar
e
th
e
p
h
ase
v
o
ltag
es
,
a
n
d
,
an
d
ar
e
th
e
lin
e
-
to
-
lin
e
v
o
ltag
es.
T
h
e
s
tato
r
f
lu
x
v
ec
to
r
is
ca
lcu
l
ated
u
s
in
g
(
6
)
,
[
Ф
]
=
[
]
.
[
Ф
]
(
6
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
7
2
2
-
2
5
8
6
I
AE
S
I
n
t
J
R
o
b
&
A
u
to
m
,
Vo
l
.
13
,
No
.
4
,
Dec
em
b
er
20
24
:
4
7
6
-
4
8
4
478
with
[
]
=
[
1
−
1
0
0
1
−
1
−
1
0
1
]
(
7
)
[
Ф
]
=
−
[
]
.
[
]
−
[
]
.
[
]
(
8
)
[
]
=
(
+
−
2
−
2
−
2
+
−
2
−
2
−
2
+
)
(
9
)
[
Ф
]
=
[
Ф
Ф
Ф
]
[
]
is
th
e
m
atr
ix
o
f
t
h
e
s
tato
r
in
d
u
ctan
ce
s
.
,
ar
e
r
esp
ec
tiv
ely
th
e
lea
k
ag
e
an
d
m
ag
n
etizin
g
in
d
u
ctan
ce
o
f
t
h
e
s
tato
r
win
d
in
g
s
.
[
]
is
th
e
v
ec
to
r
o
f
th
e
r
o
to
r
cu
r
r
en
ts
.
W
e
d
ef
in
e
th
e
s
tato
r
-
r
o
t
o
r
m
u
tu
al
in
d
u
ctan
ce
s
b
y
(
1
0
)
.
[
]
=
.
(
cos
(
)
cos
(
+
2
3
)
cos
(
−
2
3
)
cos
(
−
2
3
)
cos
(
)
cos
(
+
2
3
)
cos
(
+
2
3
)
cos
(
−
2
3
)
cos
(
)
)
(
1
0
)
Fig
u
r
e
1
.
Star
co
n
n
ec
ted
DFI
G
2
.
2
.
Ro
t
o
r
v
o
lt
a
g
e
equa
t
io
ns
T
h
e
eq
u
atio
n
o
f
r
o
to
r
v
o
ltag
e
is
ex
p
r
ess
ed
b
y
(
1
1
)
,
[
Ф
]
=
[
]
.
[
]
+
[
]
(
1
1
)
with
[
]
=
[
c
os
(
)
(
−
2
3
)
c
os
(
+
2
3
)
]
(
1
2
)
[
]
=
[
0
0
0
0
0
0
]
(
1
3
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
AE
S
I
n
t
J
R
o
b
&
A
u
to
m
I
SS
N:
2722
-
2
5
8
6
Th
eo
r
etica
l a
n
d
ex
p
erimen
ta
l
a
n
a
lysi
s
o
f u
n
b
a
la
n
ce
d
d
o
u
b
ly
fed
in
d
u
ctio
n
g
e
n
era
to
r
s
(
Ya
a
ko
u
b
Dib
o
u
n
e
)
479
[
]
,
[
]
ar
e
r
esp
ec
tiv
ely
t
h
e
m
atr
ices
o
f
r
o
t
o
r
v
o
ltag
es a
n
d
r
esis
tan
ce
s
.
T
h
e
r
o
to
r
f
lu
x
eq
u
atio
n
is
ex
p
r
ess
ed
u
s
in
g
(
1
4
)
an
d
(
1
5
)
.
[
Ф
]
=
−
[
]
.
[
]
−
[
]
.
[
]
(
1
4
)
[
]
=
[
]
(
1
5
)
w
ith
[
]
=
(
+
−
2
−
2
−
2
+
−
2
−
2
−
2
+
)
(
1
6
)
w
h
er
e
[
]
is
th
e
m
atr
ix
o
f
th
e
r
o
to
r
in
d
u
ctan
ce
s
,
,
ar
e
r
esp
ec
t
iv
ely
th
e
lea
k
ag
e
an
d
m
ag
n
etizin
g
in
d
u
ctan
ce
o
f
th
e
r
o
to
r
win
d
in
g
s
,
an
d
[
]
is
th
e
r
o
to
r
-
s
tato
r
m
u
tu
al
in
d
u
ctan
ce
s
.
2
.
3
.
M
a
chine
curr
ent
s
Usi
n
g
(
1
7
)
to
(
1
9
)
,
two
in
d
ep
en
d
en
t
c
o
m
p
o
n
en
ts
ca
n
b
e
ca
l
cu
lated
an
d
,
to
o
b
tain
th
e
s
ta
to
r
cu
r
r
en
ts
d
ef
i
n
ed
b
y
(
1
7
)
,
[
]
=
[
]
[
]
(
1
7
)
with
[
]
=
[
1
0
0
1
−
1
−
1
]
(
1
8
)
[
]
=
[
]
(
1
9
)
W
e
d
ef
in
e
s
tato
r
f
lu
x
o
f
two
i
n
d
ep
en
d
en
t c
o
m
p
o
n
en
ts
b
y
(
2
0
)
,
[
Ф
]
=
[
]
[
Ф
]
(
2
0
)
with
[
]
=
[
1
−
1
0
0
1
−
1
]
(
2
1
)
Usi
n
g
(
2
0
)
,
th
e
s
tato
r
an
d
r
o
to
r
f
lu
x
es a
r
e
e
x
p
r
ess
ed
as illu
s
tr
ated
b
y
(
2
2
)
to
(
2
6
)
,
[
Ф
]
=
−
[
]
[
]
−
[
]
[
]
(
2
2
)
[
Ф
]
=
−
[
]
[
]
−
[
]
[
]
(
2
3
)
with
[
]
=
[
]
[
]
[
]
(
2
4
)
[
]
=
[
]
[
]
(
2
5
)
[
]
=
[
]
[
]
(2
6
)
Usi
n
g
(
2
2
)
a
n
d
(
2
3
)
,
we
g
et
th
e
eq
u
atio
n
o
f
s
tato
r
an
d
r
o
to
r
c
u
r
r
en
ts
as illu
s
tr
ated
b
y
(
2
7
)
a
n
d
(
2
8
)
,
[
]
=
[
]
(
[
Ф
]
−
[
]
[
]
−
1
[
Ф
]
)
(2
7
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
7
2
2
-
2
5
8
6
I
AE
S
I
n
t
J
R
o
b
&
A
u
to
m
,
Vo
l
.
13
,
No
.
4
,
Dec
em
b
er
20
24
:
4
7
6
-
4
8
4
480
[
]
=
[
]
(
[
Ф
]
−
[
]
[
]
−
1
[
Ф
]
)
(2
8
)
w
ith
[
]
=
−
(
[
]
−
[
]
[
]
−
1
[
]
)
−
1
(
2
9
)
[
]
=
−
(
[
]
−
[
]
[
]
−
1
[
]
)
−
1
(
3
0
)
2
.
4
.
T
he
s
t
a
t
e
m
o
del
o
f
un
ba
la
nced
DF
I
G
Usi
n
g
(
1
)
,
(
1
1
)
,
(
2
7
)
an
d
(
2
8
)
,
th
e
DFI
G
s
ta
te
m
o
d
el
o
p
er
atio
n
u
n
d
er
u
n
b
alan
ce
d
lo
ad
co
n
d
itio
n
s
ca
n
b
e
r
ep
r
esen
ted
b
y
(
3
1
)
,
{
[
Ф
]
=
[
]
[
]
[
]
(
[
Ф
]
−
[
]
[
]
−
1
[
Ф
]
)
+
[
]
[
Ф
]
=
[
]
[
]
(
[
Ф
]
−
[
]
[
]
−
1
[
Ф
]
)
+
[
]
=
1
(
−
−
)
(
3
1
)
w
h
er
e
is
th
e
r
o
to
r
an
d
th
e
co
n
n
ec
ted
lo
ad
i
n
er
tia,
is
th
e
v
is
co
s
e
f
r
ictio
n
co
e
f
f
icien
t,
is
th
e
m
ec
h
an
ical
an
g
u
lar
s
p
ee
d
,
is
th
e
elec
tr
o
m
ag
n
etic
to
r
q
u
e,
an
d
th
e
m
o
to
r
i
ze
d
to
r
q
u
e
.
We
d
eter
m
in
e
th
e
elec
tr
o
m
a
g
n
etic
to
r
q
u
e
b
y
(
3
2
)
.
=
[
]
[
]
[
]
(
3
2
)
Her
e,
an
d
ar
e
r
esp
ec
tiv
ely
th
e
p
o
les p
air
s
n
u
m
b
er
a
n
d
m
ec
h
an
ical
an
g
le.
3.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
3
.
1
.
Sim
ula
t
i
o
n r
esu
lt
s
T
h
e
s
tate
m
o
d
el
d
escr
ib
ed
ab
o
v
e
is
s
im
u
lated
u
s
in
g
th
e
MA
T
L
AB
s
o
f
twar
e.
T
h
e
DFI
G
o
f
2
2
0
/3
8
0
V
–
50
Hz
–
4
k
W
,
is
r
o
tated
at
3
0
2
0
tr
/m
n
in
o
r
d
er
to
g
et
5
0
Hz
as
f
u
n
d
am
e
n
tal
f
r
eq
u
en
cy
f
o
r
th
e
s
tato
r
v
ar
iab
les.
Du
r
in
g
tim
e
=
0
–
0
.
15
,
th
e
DFI
G
s
u
p
p
lies
a
b
a
lan
ce
d
lo
ad
o
f
45
an
d
at
tim
e
=
0
.
15
,
an
u
n
b
alan
ce
d
lo
ad
o
f
=
70
Ω
,
=
=
45
Ω
is
s
elec
ted
.
T
h
ese
v
alu
es
ar
e
s
elec
t
ed
to
g
et
s
ig
n
if
ican
t
ef
f
ec
ts
o
f
u
n
b
alan
ce
d
lo
ad
c
o
n
d
itio
n
s
.
T
h
e
s
tato
r
cu
r
r
en
ts
an
d
v
o
ltag
es
ar
e
d
ep
icted
in
Fig
u
r
e
2
.
Fig
u
r
e
3
s
h
o
w
s
th
e
s
p
ec
tr
u
m
an
aly
s
is
o
f
th
e
s
tato
r
c
u
r
r
e
n
t
an
d
v
o
ltag
e
r
esp
ec
tiv
ely
f
o
r
b
alan
ce
d
lo
a
d
,
an
d
u
n
b
alan
ce
d
lo
ad
in
Fig
u
r
e
4
.
Fig
u
r
e
2
.
T
h
e
s
tato
r
cu
r
r
en
ts
a
n
d
v
o
lta
g
es
B
alanc
ed
Unb
alanc
ed
B
alanc
ed
Unb
alanc
ed
Evaluation Warning : The document was created with Spire.PDF for Python.
I
AE
S
I
n
t
J
R
o
b
&
A
u
to
m
I
SS
N:
2722
-
2
5
8
6
Th
eo
r
etica
l a
n
d
ex
p
erimen
ta
l
a
n
a
lysi
s
o
f u
n
b
a
la
n
ce
d
d
o
u
b
ly
fed
in
d
u
ctio
n
g
e
n
era
to
r
s
(
Ya
a
ko
u
b
Dib
o
u
n
e
)
481
Fig
u
r
e
3
.
Sp
ec
tr
u
m
an
al
y
s
is
o
f
s
tato
r
cu
r
r
en
t a
n
d
v
o
ltag
e
f
o
r
b
alan
ce
d
lo
a
d
S
tato
r
cu
r
r
en
t
S
tato
r
v
o
ltag
e
Fig
u
r
e
4
.
S
p
ec
tr
u
m
an
al
y
s
is
o
f
s
tato
r
cu
r
r
en
t
an
d
s
tato
r
v
o
lta
g
e
f
o
r
u
n
b
alan
ce
d
l
o
ad
T
h
e
s
im
u
latio
n
r
esu
lts
in
d
ica
te
th
at
th
e
s
tato
r
cu
r
r
e
n
ts
an
d
v
o
ltag
es
ar
e
u
n
b
ala
n
ce
d
as
s
h
o
wn
in
Fig
u
r
e
2
.
Sp
ec
i
f
ic
h
ar
m
o
n
ics
(
1
=
50
,
3
=
250
,
5
=
350
,
etc.
)
a
r
e
also
d
etec
ted
th
r
o
u
g
h
th
e
s
tato
r
cu
r
r
en
ts
an
d
v
o
ltag
es,
as
g
iv
en
in
Fig
u
r
e
4
in
co
n
tr
ast
to
th
e
b
alan
ce
d
co
n
d
itio
n
s
,
as
s
h
o
wn
in
Fig
u
r
e
3
.
T
h
ese
h
ar
m
o
n
ics
g
e
n
er
ate
u
n
d
esira
b
le
d
e
f
ec
ts
o
n
th
e
D
FIG
,
s
u
ch
as
n
o
is
e,
v
i
b
r
atio
n
s
,
o
v
e
r
h
ea
tin
g
an
d
in
cr
ea
s
ed
lo
s
s
es.
3
.
2
.
E
x
perim
ent
a
l r
esu
lt
s
I
n
o
r
d
e
r
to
v
er
if
y
th
e
v
alid
ity
o
f
th
e
th
eo
r
etica
l
an
aly
s
is
,
an
ex
p
er
im
en
t
s
tu
d
y
h
as
b
ee
n
c
o
n
d
u
cted
o
n
a
DFI
G
o
f
4
k
W
an
d
2
2
0
/3
8
0
V
-
5
0
Hz.
T
h
e
DFI
G
is
m
ec
h
an
ically
co
u
p
led
t
o
a
d
ir
ec
t
m
o
to
r
r
o
tated
at
3
0
2
0
tr
/m
n
to
g
et
5
0
Hz
as
f
u
n
d
am
e
n
tal
f
r
eq
u
en
cy
f
o
r
th
e
s
tato
r
v
ar
iab
les.
T
h
e
DFI
G
s
tar
ts
with
n
o
lo
a
d
an
d
th
e
n
a
b
alan
ce
d
lo
ad
o
f
4
5
Ω
h
as
b
ee
n
in
tr
o
d
u
ce
d
.
Af
ter
th
at,
a
n
u
n
b
alan
ce
d
lo
ad
=7
0
Ω
,
=
=4
5
Ω
is
s
elec
ted
.
Sh
u
n
t
r
esis
to
r
s
ar
e
u
s
ed
f
o
r
m
ea
s
u
r
in
g
th
e
s
tato
r
cu
r
r
en
ts
.
T
h
e
s
tato
r
v
o
ltag
es
an
d
cu
r
r
en
ts
ar
e
g
iv
en
in
Fig
u
r
e
5
.
Fig
u
r
e
6
illu
s
tr
ate
s
th
e
s
p
ec
tr
u
m
a
n
aly
s
is
o
f
th
e
s
tato
r
v
o
ltag
e
an
d
cu
r
r
en
t
r
esp
ec
tiv
ely
f
o
r
u
n
b
alan
ce
d
lo
ad
c
o
n
d
itio
n
s
.
As
illu
s
tr
ated
b
y
Fig
u
r
e
5,
ex
p
er
im
en
tal
r
esu
lts
d
u
r
in
g
u
n
b
a
lan
ce
d
lo
ad
co
n
d
itio
n
s
s
h
o
w
u
n
b
alan
ce
d
s
tato
r
v
o
ltag
es
an
d
cu
r
r
en
ts
,
a
s
well
as
a
r
is
e
in
v
o
ltag
e
v
alu
es.
Sp
ec
if
ic
h
ar
m
o
n
ics
(
1
=
50
,
3
=
250
,
5
=
350
,
etc.
)
ar
e
also
d
etec
ted
th
r
o
u
g
h
t
h
e
s
tato
r
v
o
ltag
es
an
d
cu
r
r
en
ts
,
as
g
i
v
en
in
Fig
u
r
e
6
.
I
t
is
n
o
tewo
r
th
y
th
at
th
e
h
ar
m
o
n
i
c
co
m
p
o
n
en
ts
o
f
th
e
s
tato
r
cu
r
r
en
ts
g
en
er
ate
p
u
ls
atin
g
t
o
r
q
u
es
t
h
at
ca
u
s
es
o
v
er
h
ea
tin
g
,
n
o
is
e
an
d
v
ib
r
ati
o
n
s
.
As
a
r
esu
lt,
th
e
DFI
G
wi
ll
g
r
ad
u
ally
b
e
d
estro
y
ed
u
n
d
er
u
n
b
alan
ce
d
lo
ad
co
n
d
itio
n
s
.
T
h
er
ef
o
r
e,
s
tato
r
v
o
ltag
es
a
n
d
c
u
r
r
e
n
ts
ar
e
i
m
p
o
r
tan
t
s
ig
n
als
f
o
r
d
etec
tin
g
u
n
b
alan
ce
d
lo
ad
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
7
2
2
-
2
5
8
6
I
AE
S
I
n
t
J
R
o
b
&
A
u
to
m
,
Vo
l
.
13
,
No
.
4
,
Dec
em
b
er
20
24
:
4
7
6
-
4
8
4
482
co
n
d
itio
n
s
a
n
d
e
n
s
u
r
in
g
th
e
DFI
G
’
s
s
af
e
o
p
er
atio
n
.
E
x
p
e
r
im
en
tal
r
esu
lts
,
wh
ich
c
o
r
r
e
s
p
o
n
d
to
s
im
u
latio
n
r
esu
lts
,
r
ev
ea
l
th
at
u
n
b
alan
ce
d
an
d
in
cr
ea
s
ed
s
tato
r
v
o
ltag
e
s
ar
e
cr
ea
ted
d
u
r
in
g
u
n
b
alan
c
ed
lo
ad
co
n
d
itio
n
s
,
wh
er
ea
s
lo
ad
asy
m
m
etr
y
p
r
o
d
u
ce
s
h
ar
m
o
n
ic
co
m
p
o
n
en
ts
o
f
s
tato
r
cu
r
r
en
ts
.
S
tato
r
v
o
ltag
es
S
tato
r
cu
r
r
en
ts
Fig
u
r
e
5
.
E
x
p
er
im
e
n
tal
r
esu
lts
o
f
DFI
G
f
o
r
u
n
b
alan
ce
d
lo
a
d
co
n
d
itio
n
s
: stato
r
v
o
ltag
es
a
n
d
cu
r
r
en
ts
St
ato
r
v
o
ltag
e
Stato
r
cu
r
r
en
t
Fig
u
r
e
6
.
E
x
p
er
im
e
n
tal
r
esu
lts
o
f
DFI
G
f
o
r
u
n
b
alan
ce
d
lo
a
d
co
n
d
itio
n
s
:
s
tato
r
v
o
ltag
e
s
p
ec
tr
u
m
an
aly
s
is
an
d
s
tato
r
cu
r
r
en
t
s
p
ec
tr
u
m
an
aly
s
is
4.
CO
NCLU
SI
O
N
B
o
th
th
eo
r
etica
l
an
d
ex
p
e
r
im
en
tal
r
esear
ch
h
av
e
b
ee
n
co
n
d
u
cted
to
an
aly
ze
t
h
e
o
p
er
ati
o
n
o
f
th
e
DFI
G
u
n
d
er
u
n
b
alan
ce
d
lo
ad
co
n
d
itio
n
s
an
d
ex
tr
ac
t
v
ar
io
u
s
elec
tr
o
m
ag
n
etic
ch
ar
ac
ter
i
s
tics
s
u
ch
as
s
tato
r
cu
r
r
en
ts
an
d
v
o
ltag
es.
Fu
r
th
e
r
m
o
r
e,
a
n
o
m
alo
u
s
o
p
e
r
atio
n
h
a
s
b
ee
n
h
i
g
h
lig
h
ted
d
u
r
in
g
u
n
b
alan
ce
d
co
n
d
itio
n
s
.
I
t
is
ch
ar
ac
ter
ize
d
b
y
u
n
b
alan
ce
d
s
tato
r
v
o
ltag
es,
cu
r
r
e
n
ts
,
an
d
s
p
ec
if
ic
h
ar
m
o
n
ics
th
r
o
u
g
h
th
e
s
tato
r
v
ar
iab
les.
T
o
d
etec
t
th
is
ab
n
o
r
m
al
o
p
e
r
atio
n
,
th
e
s
tato
r
v
a
r
ia
b
les
s
p
ec
tr
u
m
an
aly
s
is
ca
n
b
e
u
s
ed
.
T
h
is
m
eth
o
d
p
r
o
v
id
es
ac
cu
r
ate
r
esu
lts
d
u
r
in
g
r
ea
s
o
n
ab
le
s
im
u
latio
n
ti
m
e.
T
h
is
wo
r
k
s
h
o
u
ld
b
e
c
o
n
d
u
cte
d
in
f
u
t
u
r
e
r
esear
ch
to
ex
p
licitly
d
is
tin
g
u
i
s
h
u
n
b
alan
ce
d
l
o
ad
co
n
d
itio
n
s
f
r
o
m
o
th
e
r
s
tato
r
asy
m
m
etr
ie
s
,
as
all
ca
s
e
s
h
av
e
id
en
tical
cu
r
r
en
t a
n
d
v
o
ltag
e
s
ig
n
atu
r
es.
RE
F
E
R
E
NC
E
S
[
1
]
H
.
B
e
n
b
o
u
h
e
n
n
i
,
“
A
p
p
l
i
c
a
t
i
o
n
o
f
D
P
C
a
n
d
D
P
C
-
G
A
t
o
t
h
e
d
u
a
l
-
r
o
t
o
r
w
i
n
d
t
u
r
b
i
n
e
sy
s
t
e
m
w
i
t
h
D
F
I
G
,
”
I
AES
I
n
t
e
r
n
a
t
i
o
n
a
l
J
o
u
rn
a
l
o
f
Ro
b
o
t
i
c
s
a
n
d
A
u
t
o
m
a
t
i
o
n
(
I
J
RA)
,
v
o
l
.
1
0
,
n
o
.
3
,
p
p
.
2
2
4
–
2
3
4
,
S
e
p
.
2
0
2
1
,
d
o
i
:
1
0
.
1
1
5
9
1
/
i
j
r
a
.
v
1
0
i
3
.
p
p
2
2
4
-
2
3
4
.
[
2
]
R
.
M
a
h
r
o
u
g
,
M
.
M
a
t
a
l
l
a
h
,
a
n
d
S
.
A
b
u
d
u
r
a
,
“
M
o
d
e
l
i
n
g
o
f
w
i
n
d
t
u
r
b
i
n
e
b
a
s
e
d
o
n
d
u
a
l
D
F
I
G
g
e
n
e
r
a
t
o
r
s
,
”
I
n
t
e
r
n
a
t
i
o
n
a
l
J
o
u
r
n
a
l
o
f
Po
w
e
r
El
e
c
t
ro
n
i
c
s
a
n
d
D
r
i
v
e
S
y
s
t
e
m
s
(
I
J
PED
S
)
,
v
o
l
.
1
3
,
n
o
.
2
,
p
p
.
1
1
7
0
–
1
1
8
5
,
J
u
n
.
2
0
2
2
,
d
o
i
:
1
0
.
1
1
5
9
1
/
i
j
p
e
d
s.
v
1
3
.
i
2
.
p
p
1
1
7
0
-
1
1
8
5
.
[
3
]
A
.
A
t
h
a
mn
e
h
a
n
d
B
.
A
l
M
a
j
a
l
i
,
“
V
o
l
t
a
g
e
st
a
b
i
l
i
t
y
e
n
h
a
n
c
e
me
n
t
f
o
r
l
a
r
g
e
sca
l
e
s
q
u
i
r
r
e
l
c
a
g
e
i
n
d
u
c
t
i
o
n
g
e
n
e
r
a
t
o
r
b
a
s
e
d
w
i
n
d
t
u
r
b
i
n
e
u
si
n
g
S
t
a
c
o
m
,
”
I
n
t
e
rn
a
t
i
o
n
a
l
J
o
u
rn
a
l
o
f
Po
w
e
r
El
e
c
t
r
o
n
i
c
s
a
n
d
D
ri
v
e
S
y
s
t
e
m
s
(
I
J
P
ED
S
)
,
v
o
l
.
1
2
,
n
o
.
3
,
p
p
.
1
7
8
4
–
1
7
9
4
,
S
e
p
.
2
0
2
1
,
d
o
i
:
1
0
.
1
1
5
9
1
/
i
j
p
e
d
s.
v
1
2
.
i
3
.
p
p
1
7
8
4
-
1
7
9
4
.
[
4
]
W
.
E.
V
a
n
c
o
,
F
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