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I
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2252
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8792
IJ
A
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Vo
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3
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Dec
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2
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1
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172
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e
co
n
n
ec
ted
i
n
p
ar
allel
w
it
h
DI
A
M
’
s
Stato
r
.
ST
A
T
C
OM
h
a
s
th
e
p
r
o
v
is
io
n
o
f
m
a
x
i
m
u
m
r
ea
ctiv
e
p
o
w
er
f
ee
d
to
g
r
id
at
u
n
d
er
v
o
lta
g
e
co
n
d
itio
n
s
[
1
,
2
]
.
T
h
e
r
est
o
f
th
e
3
0
%
p
o
w
er
is
f
ed
to
th
e
g
r
id
w
it
h
th
e
h
elp
o
f
p
o
w
er
elec
tr
o
n
ic
co
n
v
er
ter
co
n
n
ec
te
d
to
r
o
to
r
s
id
e
s
o
;
its
r
atin
g
is
o
n
l
y
2
5
%
-
3
0
%
o
f
DF
A
I
G
’
s
1
0
0
%
p
o
w
er
r
atin
g
an
d
as c
o
m
p
ar
ed
to
f
ix
ed
s
p
ee
d
s
y
n
c
h
r
o
n
o
u
s
g
e
n
er
ato
r
[
2
-
5
]
.
As
th
e
DFI
G
o
r
DFI
A
M
is
an
i
m
p
o
r
tan
t
co
m
p
o
n
e
n
t
o
f
w
i
n
d
tu
r
b
in
e
b
ased
p
o
w
er
s
y
s
te
m
s
o
it
r
eq
u
ir
e
v
er
y
s
tea
k
an
d
an
ac
cu
r
ate
d
y
n
a
m
ic
m
at
h
e
m
a
tical
m
o
d
el
to
s
tu
d
y
an
d
p
r
ed
ict
th
e
r
esp
o
n
s
e
o
f
t
h
e
DFI
AM
u
n
d
er
ab
n
o
r
m
al
lo
ad
in
g
co
n
d
itio
n
s
a
n
d
at
s
w
itc
h
in
g
i
n
s
ta
n
t
s
.
D
y
n
a
m
ic
m
o
d
e
l
to
g
lo
b
al
r
o
tatin
g
r
ef
er
en
ce
f
r
a
m
e
o
f
th
e
D
FIG
s
y
s
te
m
b
y
a
d
(
d
ir
ec
t)
an
d
q
(
q
u
ar
d
r
atu
r
e)
-
a
x
is
r
o
tatin
g
at
th
e
an
g
u
lar
f
r
eq
u
e
n
c
y
o
f
ω
s
[
6
]
.
T
h
e
cla
s
s
ical
d
–
q
m
ag
n
etiza
tio
n
o
f
th
e
s
q
u
ir
r
el
ca
g
e
i
n
d
u
ctio
n
g
e
n
er
ato
r
w
a
s
m
o
d
eled
w
i
th
n
o
n
ze
r
o
r
o
t
o
r
v
o
ltag
e
in
th
e
P
ar
k
r
ef
er
en
ce
f
r
a
m
e
[
7
]
.
P
r
esen
ted
s
tead
y
s
tate
an
d
d
y
n
a
m
ic
m
o
d
el
s
an
d
co
n
tr
o
l
s
tr
ateg
ie
s
o
f
w
i
n
d
tu
r
b
in
e
g
en
er
ato
r
s
.
[
8]
,
[
9
]
.
Dy
n
a
m
ic
ti
m
e
d
o
m
ai
n
DFI
G
m
o
d
el
w
it
h
s
y
n
ch
r
o
n
o
u
s
l
y
r
o
tatin
g
r
e
f
er
en
ce
f
r
a
m
e
w
as
m
ad
e
[
10]
,
[
1
1
]
.
A
b
r
u
s
h
les
s
m
o
d
el
o
f
D
FIG
w
as
u
s
ed
[
1
2
]
.
Ho
w
e
v
er
th
er
e
ar
e
m
an
y
tec
h
n
iq
u
e
s
to
d
ev
elo
p
d
y
n
a
m
ic
m
o
d
els
o
f
DFI
A
M
b
u
t
s
ti
ll
t
h
er
e
is
n
ee
d
to
s
t
u
d
y
a
n
d
e
x
p
lo
r
e
th
e
d
y
n
a
m
ic
m
o
d
el
s
w
it
h
ti
m
e
d
o
m
ai
n
a
n
d
z
-
d
o
m
ai
n
b
y
c
o
n
s
id
er
atio
n
o
f
e
f
f
ec
t
o
f
m
ag
n
et
ic
s
at
u
r
atio
n
.
I
m
p
le
m
e
n
tatio
n
o
f
d
i
f
f
er
e
n
t
d
is
cr
ete
m
o
d
els
to
s
h
o
w
t
h
e
s
i
m
u
lat
io
n
w
o
r
k
m
u
ch
n
ea
r
to
th
e
p
r
ac
tical
co
n
d
itio
n
.
I
n
th
is
p
ap
er
s
tead
y
s
tate
a
n
d
d
y
n
a
m
ic
m
o
d
el
s
ar
e
im
p
le
m
e
n
ted
.
D
is
cr
ete
d
y
n
a
m
ic
m
o
d
els
ar
e
i
m
p
le
m
en
ted
b
ased
o
n
v
ar
io
u
s
z
-
d
o
m
ai
n
m
et
h
o
d
s
.
T
h
e
m
at
h
e
m
a
tical
s
tead
y
s
tate
an
d
tr
an
s
ie
n
t
m
o
d
el
o
f
t
h
e
DFI
AM
is
co
n
s
tr
u
cted
f
o
r
th
r
ee
b
asic
r
ef
er
en
ce
f
r
a
m
es
s
u
ch
as
r
o
to
r
,
s
tato
r
an
d
s
y
n
ch
r
o
n
o
u
s
l
y
r
ev
o
l
v
i
n
g
r
ef
er
en
ce
f
r
a
m
e
u
s
i
n
g
f
ir
s
t
o
r
d
er
d
ef
er
en
tial
eq
u
atio
n
s
.
T
h
e
s
tead
y
s
tate
an
d
d
y
n
a
m
ic
r
es
p
o
n
s
e
o
f
th
e
DF
A
I
G
ar
e
co
m
p
ar
ed
f
o
r
d
i
f
f
er
e
n
t r
o
t
o
r
v
o
ltag
e
m
a
g
n
i
tu
d
es.
Als
o
,
t
h
e
e
f
f
ec
t o
f
v
ar
iatio
n
s
i
n
m
ec
h
an
ical
i
n
p
u
t
to
r
q
u
e,
s
tato
r
v
o
lta
g
e
v
ar
iat
io
n
s
ar
e
s
i
m
u
lated
in
M
A
T
L
A
B
s
i
m
u
lat
o
r
to
p
r
ed
ict
th
e
s
tato
r
an
d
r
o
to
r
cu
r
r
en
ts
,
ac
ti
v
e
an
d
r
ea
ctiv
e
p
o
w
er
,
elec
tr
o
m
a
g
n
et
ic
to
r
q
u
e
an
d
r
o
to
r
s
p
ee
d
v
ar
iatio
n
s
.
2.
ST
E
A
D
Y
ST
A
T
E
MO
D
E
L
O
F
D
F
IAM
T
h
e
s
tead
y
s
tate
m
o
d
el
o
f
th
e
th
r
ee
p
h
a
s
e
DFI
A
M
m
ac
h
i
n
e
is
o
b
tain
ed
f
r
o
m
a
n
eq
u
i
v
al
en
t
cir
cu
it
d
iag
r
a
m
a
s
s
h
o
w
n
i
n
t
h
e
Fig
u
r
e
1
-
3.
T
h
e
m
u
tu
a
l
r
ea
ctan
ce
X
m
is
m
o
v
ed
to
s
tato
r
v
o
ltag
e
s
u
p
p
l
y
s
o
u
r
ce
V
s
an
d
th
e
s
i
m
p
li
f
ied
m
o
d
el
o
f
t
h
e
in
d
u
ctio
n
m
ac
h
i
n
e
is
s
h
o
wn
b
y
t
h
e
Fi
g
u
r
e
3
.
T
o
o
b
tain
th
e
to
r
q
u
e
eq
u
atio
n
f
r
o
m
t
h
e
eq
u
i
v
alen
t c
ir
cu
it,
t
h
e
r
o
to
r
cu
r
r
en
t I
r
is
e
x
p
r
ess
ed
as th
e
f
o
llo
w
in
g
s
et
o
f
eq
u
atio
n
s
as
[
8
]
.
s
r
s
l
i
p
r
s
t
d
s
t
d
s
t
d
'
'
r
s
l
s
l
r
s
l
i
p
V
V
/
s
I
R
(
R
)
j
(
X
X
)
s
(
1
)
T
h
e
elec
tr
o
m
a
g
n
et
ic
to
r
q
u
e
in
an
in
d
u
ctio
n
m
ac
h
in
e
i
s
t
h
e
s
u
m
o
f
air
g
ap
p
o
w
er
a
n
d
r
o
to
r
f
ed
p
o
w
er
.
w
h
er
e;
V
s
std
=
Sta
to
r
s
tead
y
s
tate
v
o
lta
g
e
(
p
.
u
)
; X
ls
=Stato
r
r
ea
ctan
ce
(
p
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u
)
;
V
r
std
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Stato
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s
tead
y
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tate
v
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lta
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e
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p
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lr
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R
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to
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ctan
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(
p
.
u
)
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R
s
=Stato
r
r
esis
ta
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(
p.
u
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R
r
=
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r
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(
p
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;
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slip
=
s=
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lip
(
Stato
r
’
s
f
l
u
x
s
p
ee
d
-
R
o
to
r
’
s
s
p
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d
)
/ Stato
r
’
s
f
lu
x
s
p
ee
d
T
_
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sator
std
=
E
lectr
o
m
ec
h
a
n
ical
t
o
r
q
u
e
f
r
o
m
s
tato
r
s
id
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(
p
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u
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.
Ѱ
s
flux
=
Stato
r
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id
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f
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p
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.
)
Ѱ
s
flux
=Ro
to
r
s
id
e
f
l
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x
(
p
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u
.
)
P
R
=Ro
to
r
f
ed
ac
tiv
e
p
o
w
er
.
'
s
r
2
r
e
_
s
t
d
s
t
d
s
R
s
l
i
p
R
T
(
I
)
*
R
P
s
(
2
)
R
o
to
r
f
ed
ac
tiv
e
p
o
w
er
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
A
P
E
I
SS
N:
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8792
S
tea
d
y
S
t
a
te
a
n
d
Tr
a
n
s
ien
t A
n
a
lysi
s
o
f G
r
id
C
n
ec
ted
Do
u
b
ly
F
ed
I
n
f
u
d
ctio
n
…
(
S
u
k
h
w
in
d
er S
in
g
h
Dh
illo
n
)
173
'
r
r
R
s
t
d
p
s
t
d
V
P
*
I
*
c
o
s
s
(
3
)
Fig
u
r
e
1
.
E
q
u
iv
ale
n
t Ci
r
c
u
it o
f
DFI
A
M
w
it
h
S
tato
r
an
d
R
o
to
r
s
id
e
Fig
u
r
e
2
.
E
q
u
iv
ale
n
t Ci
r
c
u
it o
f
DFI
A
M
as r
o
to
r
s
id
e
is
r
ef
er
r
ed
to
s
tato
r
Fig
u
r
e
3
.
Stead
y
s
tate
eq
u
i
v
al
en
t c
ir
cu
i
t
o
f
DFI
A
M
as r
o
to
r
is
r
ef
er
r
ed
to
s
tato
r
'
s
2
r
s
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l
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p
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l
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p
2
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r
l
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{
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R
R
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(
s
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(
s
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(
X
X
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4
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s
s
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t
d
m
m
V
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5
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s
s
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td
m
r
I
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6
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s
s
s
r
m
l
s
s
td
m
s
td
s
td
L
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L
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p
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s
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
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8792
IJ
A
P
E
Vo
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6
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No
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3
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Dec
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b
er
2
0
1
7
:
1
7
1
–
1
9
2
174
A
lter
n
ati
v
el
y
elec
tr
o
m
a
g
n
e
tic
to
r
q
u
e
is
g
i
v
en
b
y
[
8
]
th
e
f
o
llo
w
i
n
g
eq
u
atio
n
:
'
'
2
p
a
i
r
r
r
s
em
s
l
i
p
s
y
n
p
R
I
T3
s
(
1
0
)
w
h
er
e;
L
ls
=
Stato
r
leak
ag
e
s
el
f
in
d
u
ctan
ce
(
p
.
u
)
;
L
m
=
Mu
t
u
al
in
d
u
cta
n
ce
f
r
o
m
Stato
r
s
id
e
(
p
.
u
)
;
Ѡ
syn
=
S
y
n
ch
r
o
n
o
u
s
o
r
an
g
u
lar
s
p
ee
d
at
s
u
p
p
l
y
f
r
eq
u
en
c
y
(
p
.
u
)
;
S
slip
=
s
=
Sli
p
(
Stato
r
’
s
f
l
u
x
s
p
ee
d
-
R
o
to
r
’
s
s
p
ee
d
)
/
Stato
r
’
s
f
l
u
x
s
p
ee
d
T
_
e
sator
std
=
E
lectr
o
m
ec
h
a
n
ical
to
r
q
u
e
f
r
o
m
s
tato
r
s
id
e
(
p
.
u
)
.
Ѱ
s
flux
=
Stato
r
s
id
e
f
l
u
x
(
p
.
u
.
)
Ѱ
s
flux
=
R
o
to
r
s
id
e
f
lu
x
(
p
.
u
.
)
Ѱ
m
flux
=
E
q
u
iv
ale
n
t
m
ag
n
etic
f
l
u
x
f
r
o
m
s
tato
r
.
s
=
p
o
w
er
f
ac
to
r
o
f
th
e
eq
u
iv
ale
n
t
ck
t.
A
s
s
h
o
w
n
i
n
Fi
g
u
r
e
3
.
Stead
y
s
tate
s
i
m
u
lat
io
n
an
al
y
s
is
p
er
tain
i
n
g
to
th
e
ab
o
v
e
g
iv
en
m
at
h
e
m
atica
l
eq
u
at
io
n
s
o
f
a
1
.
5
M
W
DFI
AM
w
h
o
s
e
cir
cu
it
co
n
s
ta
n
t
v
a
lu
e
s
ar
e
tab
u
lated
i
n
A
p
p
en
d
ix
-
A
.
T
h
e
f
o
llo
w
i
n
g
f
i
g
u
r
es
s
h
o
w
t
h
e
s
tead
y
s
tate
r
esp
o
n
s
e
o
f
t
h
e
in
d
u
ctio
n
m
ac
h
i
n
e
f
o
r
(
1
)
-
(
1
0
)
.
Fig
u
r
e
4
s
h
o
w
s
t
h
e
s
tead
y
s
tate
v
a
r
iatio
n
s
o
f
e
lectr
o
-
m
ag
n
etic
to
r
q
u
e
co
r
r
esp
o
n
d
in
g
to
d
if
f
er
en
t
r
o
to
r
f
ed
v
o
lta
g
e
s
an
d
s
lip
f
ac
to
r
s
.
Op
er
ati
n
g
r
eg
io
n
o
f
t
h
e
d
o
u
b
l
y
f
ed
As
y
n
c
h
r
o
n
o
u
s
m
ac
h
i
n
e
lie
s
b
et
w
ee
n
t
h
e
s
lip
f
ac
to
r
s
0
.
2
an
d
-
0
.
2
.
Fig
u
r
e
4
.
Stead
y
s
tate
elec
tr
o
m
ag
n
etic
to
r
q
u
e
v
er
s
u
s
s
l
ip
cu
r
v
es f
o
r
d
if
f
er
en
t r
o
to
r
v
o
ltag
e
s
F
ig
u
r
e
5
s
h
o
w
s
t
h
e
r
o
to
r
cu
r
r
en
t
v
ar
iat
io
n
s
f
o
r
d
if
f
er
en
t
v
o
ltag
es
co
r
r
esp
o
n
d
s
to
th
e
d
i
f
f
er
en
t
s
li
p
f
ac
to
r
s
.
T
h
e
r
o
to
r
cu
r
r
en
t f
o
llo
w
s
(
1
)
.
Fig
u
r
e
5
.
R
o
to
r
cu
r
r
en
t v
er
s
u
s
s
lip
to
d
if
f
er
e
n
t r
o
to
r
v
o
ltag
es
(
p
.
u
.
)
T
h
e
v
ar
iatio
n
s
o
f
r
o
to
r
ac
ti
v
e
an
d
r
ea
ctiv
e
p
o
w
er
a
s
p
er
r
o
to
r
v
o
ltag
e
m
a
g
n
it
u
d
es
f
o
r
s
lip
f
ac
to
r
s
ar
e
s
h
o
w
n
in
F
ig
u
r
e
6
an
d
Fig
u
r
e
7
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
A
P
E
I
SS
N:
2252
-
8792
S
tea
d
y
S
t
a
te
a
n
d
Tr
a
n
s
ien
t A
n
a
lysi
s
o
f G
r
id
C
n
ec
ted
Do
u
b
ly
F
ed
I
n
f
u
d
ctio
n
…
(
S
u
k
h
w
in
d
er S
in
g
h
Dh
illo
n
)
175
Fig
u
r
e
6
.
R
o
to
r
ac
tiv
e
p
o
w
er
(
I
2
*R
r
)
v
er
s
u
s
s
lip
to
d
if
f
er
en
t r
o
to
r
v
o
ltag
es
Fig
u
r
e
7
.
R
o
to
r
r
ea
ctiv
e
p
o
w
e
r
(
I
2
*X
lr
)
v
er
s
u
s
s
lip
to
d
if
f
er
en
t r
o
to
r
v
o
ltag
es
Fig
u
r
e
8
s
h
o
w
s
t
h
at
m
ag
n
etiz
i
n
g
c
u
r
r
en
t
r
e
m
ai
n
s
co
n
s
ta
n
t
o
v
er
s
lip
a
n
d
r
o
to
r
v
o
ltag
e
v
ar
iatio
n
s
.
T
h
e
m
ag
n
eti
z
in
g
r
ea
cta
n
ce
co
n
s
id
er
ed
to
b
e
co
n
s
tan
t
i.e
.
u
n
s
at
u
r
ated
2
.
9
(
p
.
u
.
)
.
T
h
e
an
g
u
lar
s
p
ee
d
is
co
n
s
id
er
ed
to
b
e
1
(
p
.
u
)
.
Fig
u
r
e
8
.
Ma
g
n
etiz
in
g
cu
r
r
e
n
t
v
er
s
u
s
s
l
ip
f
o
r
d
if
f
er
e
n
t v
o
lta
g
es a
n
d
T
h
e
s
tato
r
’
s
f
l
u
x
v
ar
iat
io
n
s
c
o
r
r
esp
o
n
d
to
d
if
f
er
en
t
r
o
to
r
f
ed
v
o
ltag
e
s
an
d
s
lip
v
alu
e
s
ar
e
s
h
o
w
n
i
n
Fig
u
r
e
9
.
Fig
u
r
e
9
.
Stato
r
’
s
f
lu
x
v
er
s
u
s
s
lip
f
o
r
d
if
f
er
e
n
t r
o
to
r
v
o
ltag
es
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8792
IJ
A
P
E
Vo
l.
6
,
No
.
3
,
Dec
em
b
er
2
0
1
7
:
1
7
1
–
1
9
2
176
3.
T
RANS
I
E
NT
M
O
DE
L
O
F
DF
I
AM
WI
T
H
VARIO
U
S REFE
R
E
NC
E
F
RAM
E
S.
T
h
e
p
er
u
n
it
d
y
n
a
m
ic
m
o
d
el
o
f
t
h
e
t
h
r
ee
p
h
ase
d
o
u
b
l
y
f
ed
as
y
n
ch
r
o
n
o
u
s
m
ac
h
i
n
e
i
s
d
er
i
v
ed
b
y
t
h
e
tr
an
s
f
o
r
m
atio
n
o
f
th
r
ee
v
ar
iab
l
e
p
h
ase
q
u
an
ti
ties
to
a
s
et
o
f
tw
o
s
tatio
n
ar
y
v
ec
to
r
s
k
n
o
w
n
a
s
α
-
ax
i
s
an
d
β
-
ax
i
s
(
clar
k
’
s
tr
an
s
f
o
r
m
a
tio
n
)
.
T
h
en
th
ese
s
tatio
n
ar
y
v
ec
to
r
s
ar
e
tr
an
s
f
o
r
m
ed
to
r
o
tatin
g
f
r
a
m
e
w
it
h
d
-
ax
i
s
a
n
d
q
-
ax
is
co
o
r
d
in
ates.
T
h
e
th
r
ee
p
h
ase
s
u
p
p
l
y
v
o
ltag
e
s
ar
e
alter
n
a
tin
g
q
u
an
titi
es
w
h
ic
h
ar
e
tr
an
s
f
o
r
m
ed
to
α
an
d
β
-
ax
is
w
i
th
t
h
e
h
e
lp
o
f
C
lar
k
’
s
tr
an
s
f
o
r
m
atio
n
(
s
tatio
n
ar
y
r
ef
er
en
ce
f
r
a
m
e)
is
as
f
o
llo
w
s
.
a.
ab
c
to
α
βo
(
s
tatio
n
ar
y
)
:
0
2
/
3
1
/
3
1
/
3
0
1
/
3
1
/
3
1
/
3
1
/
3
1
/
3
a
b
c
vv
vv
v
v
(
1
1
)
Fig
u
r
e
1
0
.
Stato
r
’
s
p
h
ase
v
o
lta
g
es a
lo
n
g
d
q
an
d
α
β a
x
is
b.
α
βo
(
s
tatio
n
ar
y
)
to
d
q
o
r
ef
er
en
ce
:
0
s
i
n
c
o
s
0
c
o
s
s
i
n
0
(
1
2
)
0
0
1
d
q
o
w
t
w
t
w
t
w
t
vv
vv
v
v
(
1
2
)
c.
α
βo
(
s
tatio
n
ar
y
)
to
d
q
o
r
ef
er
en
ce
:
0
s
in
c
o
s
1
s
in
(
2
/
3
)
c
o
s
(
2
/
3
)
1
(
1
3
)
s
in
(
2
/
3
)
o
s
(
2
/
3
)
1
ad
bq
c
w
t
w
t
w
t
w
t
w
t
w
t
vv
vv
v
v
(
1
3
)
Ass
u
m
p
t
io
n
s
f
o
r
th
e
D
y
n
a
m
ic
Mo
d
el:
a.
No
m
ag
n
etic
f
l
u
x
s
a
tu
r
atio
n
s
o
th
e
m
u
tu
a
l in
d
u
ctan
ce
i
s
co
n
s
tan
t
i.e
u
n
s
at
u
r
ated
.
b.
Ma
ch
i
n
e
w
in
d
i
n
g
s
ar
e
co
n
n
ec
t
ed
in
s
tar
co
n
f
ig
u
r
atio
n
o
n
s
tat
o
r
an
d
r
o
to
r
h
en
ce
n
o
(
0
)
co
m
p
o
n
en
t.
c.
Va
=
Vp
h
s
i
n
w
t (
i)
,
Vb
=V
p
h
s
i
n
(
w
t
-
1
2
0
)
(
ii),
Vc=
Vp
h
s
in
(
w
t
+1
2
0
)
b
alan
ce
d
th
r
ee
p
h
ase
v
o
ltag
es.
As
p
er
p
ar
k
’
s
tr
an
s
f
o
r
m
atio
n
t
h
e
t
h
r
ee
p
h
ase
s
tato
r
an
d
r
o
to
r
v
o
ltag
e
s
tr
an
s
f
o
r
m
ed
to
a
d
q
o
r
o
tatin
g
f
r
a
m
e
i
s
g
i
v
e
n
th
e
f
o
llo
w
i
n
g
e
q
u
atio
n
s
:
a
qs
s
ss
b
s
s
s
ds
c
ss
s
0s
v
s
i
n
c
o
s
1
v
s
i
n
(
2
/
3
)
c
o
s
(
2
/
3
)
1
(
1
3
)
s
i
n
(
4
/
3
)
c
o
s
(
4
/
3
)
1
v
v
v
v
(
1
4
)
I
n
ter
m
s
o
f
lin
e
v
o
lta
g
es
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
A
P
E
I
SS
N:
2252
-
8792
S
tea
d
y
S
t
a
te
a
n
d
Tr
a
n
s
ien
t A
n
a
lysi
s
o
f G
r
id
C
n
ec
ted
Do
u
b
ly
F
ed
I
n
f
u
d
ctio
n
…
(
S
u
k
h
w
in
d
er S
in
g
h
Dh
illo
n
)
177
s
s
s
s
ss
d
s
s
a
b
s
b
c
q
s
s
a
b
s
b
c
(
3
s
i
n
c
o
s
)
v
2
c
o
s
v
1
/
3
(
1
5
)
(
3
c
o
s
s
i
n
)
v
2
s
i
n
v
v
v
(
1
5
)
'
rr
'
rr
r
a
b
b
c
d
r
q
a
b
b
c
(
3
s
i
n
c
o
s
)
v
2
c
o
s
v
v
1
/
3
(
1
6
)
v
(
3
c
o
s
s
i
n
)
v
2
s
i
n
v
(
1
6
)
sr
(
1
7
)
(
1
7
)
s
an
g
le
o
f
r
ef
er
en
ce
f
r
a
m
e
a
n
d
is
th
e
an
g
le
b
et
w
ee
n
r
ef
er
en
ce
f
r
a
m
e
a
n
d
p
o
s
itio
n
o
f
r
o
to
r
.
A
s
w
s
is
t
h
e
s
p
ee
d
o
f
s
tato
r
f
lu
x
a
n
d
w
s
-
w
r
i
s
t
h
e
r
elati
v
e
s
p
ee
d
b
et
w
ee
n
s
ta
to
r
’
s
f
l
u
x
a
n
d
r
o
to
r
’
s
ac
t
u
al
a
n
g
u
lar
s
p
ee
d
.
So
th
e
W
s
p
ee
d
(
p
.
u
.
)
m
atr
i
x
f
o
r
s
tato
r
an
d
r
o
to
r
ck
t is g
i
v
e
n
b
y
(
1
8
)
:
0
0
0
0
0
0
(
1
8
)
0
0
0
(
)
0
0
(
)
0
s
s
sr
sr
w
w
W
ww
ww
(
1
8
)
Fig
u
r
e
1
1
.
Stato
r
an
d
r
o
to
r
p
h
ase
v
o
lta
g
es a
lo
n
g
d
q
-
a
x
is
f
o
r
r
o
to
r
r
ef
er
en
ce
f
r
a
m
e
4.
RO
T
O
R
RE
F
E
RE
NCE F
R
AM
E
I
n
th
i
s
r
ef
er
e
n
ce
f
r
a
m
e
s
=
r
,
rr
0
s
tato
r
an
d
r
o
to
r
d
q
co
m
p
o
n
en
t
co
r
r
esp
o
n
d
s
to
lin
e
v
o
lta
g
e
g
iv
e
n
b
y
eq
u
at
io
n
(
1
9
)
an
d
(
2
0
)
.
r
=
th
e
p
o
s
itio
n
o
f
p
h
ase
‘
a
’
o
f
r
o
to
r
ab
c
f
r
am
e
in
elec
tr
ica
l
d
eg
r
ee
w
.
r
.
t p
h
ase
‘
a
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o
f
s
tato
r
ab
c
r
ef
er
en
ce
f
r
a
m
e.
Stato
r
v
o
ltag
e
eq
u
a
tio
n
s
:
s
S
S
s
SS
d
r
r
a
b
r
b
c
q
r
r
a
b
r
b
c
(
3
s
i
n
c
o
s
)
v
2
c
o
s
v
1
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3
(
1
9
)
(
3
c
o
s
s
i
n
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v
2
s
i
n
v
v
v
(
1
9
)
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o
to
r
v
o
ltag
e
eq
u
atio
n
s
:
'
Rr
'
r
a
b
b
c
dr
qr
ab
v
2
v
v
1
/
3
(
2
0
)
v
(
3
)
v
(
2
0
)
Fo
r
r
o
to
r
r
ef
.
f
r
a
m
e
(w
s
=w
r
)
f
o
r
p
u
s
y
s
te
m
w
s
=1
p
.
u
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8792
IJ
A
P
E
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l.
6
,
No
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3
,
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2
0
1
7
:
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1
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9
2
178
0
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2
1
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r
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w
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n
g
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al
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tato
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s
d
q
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m
p
o
n
en
t
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n
ter
m
s
o
f
v
o
lta
g
e
d
r
o
p
s
ar
e
as f
o
llo
w
s
:
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s
q
s
S
d
s
ds
qs
s
d
s
S
q
s
qs
0s
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0
s
qs
d
Ri
dt
d
R
i
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2
2
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dt
v
v
v
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2
2
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l
s
o
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o
to
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d
q
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c
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p
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n
e
n
t
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ter
m
s
o
f
v
o
ltag
e
d
r
o
p
s
ar
e
as f
o
llo
w
s
:
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d
r
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s
r
r
'
d
r
'
d
r
'
qr
q
r
'
s
r
d
r
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r
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q
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r
'
0
r
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r
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q
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d
(
)
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i
dt
d
(
)
R
i
(
2
3
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dt
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v
v
v
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2
3
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m
(
2
1
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-
(
2
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s
tato
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d
r
o
t
o
r
v
o
ltag
es
f
o
r
R
o
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r
r
ef
er
en
ce
f
r
a
m
e
ar
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as
f
o
llo
w
s
:
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r
an
d
r
o
to
r
d
q
o
v
o
ltag
es a
r
e:
ds
r
q
s
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s
ds
qs
r
d
s
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s
qs
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qs
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d
R
i
(
2
4
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v
v
(
2
4
)
d
r
'
r
'
d
r
'
d
r
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r
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0
r
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d
R
i
(
2
5
)
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d
Ri
dt
v
v
v
(
2
5
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ds
rs
qs
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rs
d
r
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r
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d
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r'
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r
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(
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)
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(
t
)
0
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t
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t
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t
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t
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(
t
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r
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r
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v
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q
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(
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(
t
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(
2
6
)
i
(
t
)
i
(
t
)
(
2
6
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
A
P
E
I
SS
N:
2252
-
8792
S
tea
d
y
S
t
a
te
a
n
d
Tr
a
n
s
ien
t A
n
a
lysi
s
o
f G
r
id
C
n
ec
ted
Do
u
b
ly
F
ed
I
n
f
u
d
ctio
n
…
(
S
u
k
h
w
in
d
er S
in
g
h
Dh
illo
n
)
179
Whe
r
e t
he r
el
at
i
on be
t
w
ee
n
f
l
ux
and
cur
r
en
t
i
s g
i
v
en by
:
''
'1
1
d
s
d
s
l
s
M
M
q
s
q
s
l
s
M
M
M
l
r
'
M
d
r
d
r
M
l
r
'
M
q
r
q
r
i
(
t
)
(
t
)
L
L
0
L
0
i
(
t
)
(
t
)
0
L
L
0
L
(
2
7
)
i
(
t
)
(
t
)
L
0
L
L
0
i
(
t
)
(
t
)
0
L
0
L
L
(
2
7
)
B
y
p
u
tti
n
g
(
2
7
)
in
to
(
2
6
)
g
iv
es
a
r
elatio
n
o
f
f
l
u
x
th
at
Flu
x
es:
(
t
)
dq
sr
=
[
V
dq
r
,
s
]
+(
-
[
W]
-
[
L
-
1
*
R
]
)
Sr
dq
(
t
)
sr
dq
(
t
)
=
[
V
dq
r
,
s
]
+(
-
[
W]
-
[
L
-
1
*
R
]
)
RS
dq
(
t
)
dt
(
2
8
)
Flu
x
is
d
er
iv
ed
f
r
o
m
t
h
e
eq
u
a
tio
n
(
2
8
)
,
E
lectr
o
m
a
g
n
etic
to
r
q
u
e
an
d
m
ec
h
an
ica
l
m
o
d
el
ar
e
g
iv
e
n
b
y
th
e
s
a
m
e
s
et
o
f
eq
u
atio
n
s
(
4
3
)
-
(
4
5
)
.
5.
ST
A
T
O
R
O
R
ST
AT
I
O
NAR
Y
RE
F
E
R
E
NC
E
F
RAM
E
Fo
r
s
tatio
n
ar
y
f
r
a
m
e
p
h
a
s
e
A
o
f
th
e
s
tato
r
v
o
lta
g
e
is
i
n
p
h
as
e
w
it
h
th
e
d
-
a
x
i
s
s
o
,
s
=
0,
r
an
d
s
tato
r
an
d
r
o
to
r
v
o
ltag
es
to
d
q
co
m
p
o
n
en
t
ar
e
g
i
v
en
b
y
eq
u
atio
n
(
2
9
)
an
d
eq
u
atio
n
(
3
0
)
.
r
=
th
e
p
o
s
itio
n
o
f
p
h
ase
‘
a
’
o
f
r
o
to
r
ab
c
f
r
a
m
e
in
elec
tr
ical
d
eg
r
ee
w
.
r
.
t
p
h
a
s
e
‘
a’
o
f
s
tato
r
ab
c
r
ef
er
en
ce
f
r
a
m
e.
Stato
r
v
o
ltag
e
eq
n
s
:
SS
s
S
s
a
b
b
c
d
ab
q
v
2
v
1
/
3
(
2
9
)
(
3
)
v
v
v
(
2
9
)
R
o
to
r
v
o
ltag
e
ar
e
g
i
v
e
n
b
y
eq
u
atio
n
(
3
0
)
as :
rr
r
rr
d
r
r
a
b
r
b
c
r
q
r
r
a
b
r
b
c
(
3
s
i
n
c
o
s
)
v
2
c
o
s
v
1
/
3
(
3
0
)
(
3
c
o
s
s
i
n
)
v
2
s
i
n
v
v
v
(
3
0
)
As
w
s
i
s
t
h
e
s
p
ee
d
o
f
s
tato
r
f
l
u
x
a
n
d
w
s
-
w
r
is
t
h
e
r
elat
iv
e
s
p
ee
d
b
et
w
ee
n
s
tato
r
’
s
f
l
u
x
a
n
d
r
o
to
r
’
s
ac
tu
al
s
p
ee
d
.
So
th
e
W
s
p
ee
d
m
a
tr
ix
f
o
r
s
tato
r
an
d
r
o
to
r
c
k
t
is
g
i
v
e
n
b
y
eq
u
atio
n
(
3
1
)
.
Fo
r
s
tatio
n
ar
y
r
ef
.
f
r
a
m
e
(
w
s
=0
)
f
o
r
p
u
s
y
s
te
m
V
S
C
V
r
C
Fig
u
r
e
1
2
.
Stato
r
an
d
r
o
to
r
p
h
ase
v
o
lta
g
es a
lo
n
g
d
q
ax
is
f
o
r
a
s
tatio
n
ar
y
r
e
f
er
en
ce
f
r
a
m
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8792
IJ
A
P
E
Vo
l.
6
,
No
.
3
,
Dec
em
b
er
2
0
1
7
:
1
7
1
–
1
9
2
180
r
r
0
0
0
0
0
0
0
0
W
(
3
1
)
0
0
0
(
w
)
0
0
(
w
)
0
(
3
1
)
T
h
e
s
tato
r
d
q
o
v
o
ltag
es:
ds
S
d
s
ds
qs
S
q
s
qs
0s
S
0
s
0s
d
Ri
dt
d
R
i
(
3
2
)
dt
d
Ri
dt
v
v
v
(
3
2
)
d
r
'
r
q
s
r
'
d
r
'
d
r
'
q
r
'
r
d
r
'
r
'
q
r
'
q
r
'
0
r
'
r
'
0
r
'
0
r
'
d
Ri
dt
d
(
)
R
i
(
3
3
)
dt
d
Ri
dt
v
v
v
(
3
3
)
Stato
r
an
d
r
o
to
r
f
lu
x
e
s
ar
e
g
iv
en
b
y
:
ds
ds
s
qs
qs
s
q
r
'
r
'
d
r
'
r
r
'
d
r
'
q
r
'
(
t
)
ds
(
t
)
0
0
0
0
R
0
0
0
(
t
)
0
0
0
0
0
R
0
0
(
t
)
qs
0
0
0
w
r
(
t
)
0
0
R
0
0
0
w
0
0
0
0
R
(
t
)
(
t
)
d
r
'
(
t
)
q
r
'
v
v
v
v
ds
qs
d
r
'
q
r
'
i
(
t
)
i
(
t
)
(34)
i
(
t
)
i
(
t
)
(
34)
Fro
m
(
2
7
)
ds
ds
s
qs
qs
s
r
q
r
'
r
'
d
r
'
r
r
'
d
r
'
q
r
'
(
t
)
ds
(
t
)
0
0
0
0
R
0
0
0
(
t
)
0
0
0
0
0
R
0
0
(
t
)
qs
0
0
0
w
(
t
)
0
0
R
0
0
0
w
0
0
0
0
R
(
t
)
(
t
)
d
r
'
(
t
)
q
r
'
v
v
v
v
1
qs
l
s
M
M
ds
l
s
M
M
M
l
r
'
M
q
r
'
M
l
r
'
M
d
r
'
(
t
)
L
L
0
L
0
(
t
)
0
L
L
0
L
L
0
L
L
0
(
t
)
0
L
0
L
L
(
t
)
(
3
5
)
Flu
x
is
d
er
i
v
ed
f
r
o
m
(
2
8
)
,
E
lectr
o
m
a
g
n
etic
to
r
q
u
e
m
o
d
el
ar
e
g
iv
e
n
b
y
t
h
e
s
a
m
e
s
et
o
f
eq
u
atio
n
s
(
4
3
)
-
(
4
5
)
.
6.
SYNCH
RO
NO
US
L
Y
RO
T
AT
I
N
G
F
RAM
E
I
n
th
is
f
r
a
m
e
s
=
e
,
er
s
tato
r
an
d
r
o
to
r
d
q
co
m
p
o
n
en
t
co
r
r
esp
o
n
d
s
to
lin
e
v
o
ltag
e
g
i
v
e
n
b
y
t
h
e
s
et
eq
u
atio
n
(
3
7
)
an
d
(
3
9
)
.
r
=
th
e
p
o
s
itio
n
o
f
p
h
ase
‘
a’
o
f
r
o
to
r
ab
c
f
r
am
e
i
n
elec
tr
i
ca
l
d
eg
r
ee
w
.
r
.
t
p
h
ase
‘
a
’
o
f
s
tato
r
ab
c
r
ef
er
en
ce
f
r
a
m
e.
Evaluation Warning : The document was created with Spire.PDF for Python.