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©
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6
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s
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it
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[
1
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1
4
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.
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i
n
g
in
to
ac
co
u
n
t
t
h
e
n
o
n
li
n
ea
r
ities
an
d
m
ag
n
etic
c
h
ar
ac
ter
is
tics
o
f
th
e
m
ac
h
i
n
e
an
d
to
in
cr
ea
s
e
th
e
ac
cu
r
ac
y
a
n
d
r
eli
ab
ilit
y
o
f
t
h
e
co
n
tr
o
l d
r
iv
es
.
I
t
is
k
n
o
w
n
t
h
at
t
h
e
m
ac
h
in
e
s
b
eh
av
io
r
b
ec
o
m
e
s
m
o
r
e
n
o
n
l
in
ea
r
d
ep
en
d
in
g
o
n
t
h
e
d
r
iv
e
ch
an
g
i
n
g
co
n
d
itio
n
s
a
n
d
th
e
ef
f
ec
ts
o
f
m
ag
n
etic
s
atu
r
atio
n
an
d
s
p
atia
l
h
ar
m
o
n
ics
s
h
o
u
ld
b
e
tak
en
i
n
to
ac
co
u
n
t
[
3
]
.
Fo
r
th
ese
r
ea
s
o
n
s
,
th
e
u
s
e
o
f
FE
A
b
ec
o
m
e
s
r
elati
v
el
y
ea
s
y
b
ec
au
s
e
o
f
t
h
e
ca
p
ab
ilit
y
to
i
m
p
o
r
t
g
eo
m
etr
y
d
r
a
w
in
g
s
an
d
to
g
iv
e
a
m
o
r
e
r
ea
lis
tic
r
ep
r
esen
tatio
n
to
th
e
in
ter
n
a
l
m
ac
h
i
n
e
c
h
ar
ac
ter
is
tics
.
A
c
tu
all
y
,
th
e
FE
A
i
s
au
to
m
ated
to
b
e
u
s
e
f
u
l
i
n
m
o
d
er
n
m
ac
h
i
n
e
d
es
ig
n
w
h
i
ch
o
f
f
er
i
n
g
f
le
x
ib
ili
t
y
in
th
e
g
eo
m
e
tr
ical
s
h
ap
e,
m
ater
ial
p
r
o
p
er
ties
an
d
b
o
u
n
d
ar
y
co
n
d
itio
n
s
i
n
all
m
ac
h
in
e
r
eg
io
n
s
[
7
]
.
I
n
th
is
w
o
r
k
,
t
h
e
co
-
s
i
m
u
latio
n
o
f
an
I
M
is
p
r
esen
ted
an
d
t
wo
-
d
i
m
e
n
s
io
n
al
m
o
to
r
m
o
d
el
is
cr
ea
ted
in
Ma
x
w
ell
w
h
ic
h
g
iv
e
s
ac
ce
p
tab
le
b
alan
ce
b
et
w
ee
n
t
h
e
s
i
m
u
l
atio
n
ti
m
e
an
d
r
es
u
lt
ac
c
u
r
ac
y
.
I
n
f
ac
t,
th
e
ai
m
o
f
th
e
co
-
s
i
m
u
latio
n
is
to
r
ea
lize
a
m
o
r
e
r
ea
lis
tic
an
d
ac
u
r
ate
m
o
d
el
o
f
th
e
o
v
er
all
elec
tr
ic
c
o
n
tr
o
l
s
y
s
te
m
w
h
ic
h
ca
n
b
e
u
s
ed
i
n
th
e
h
ea
lt
h
y
an
d
f
ailu
r
e
m
o
d
e
o
p
er
atio
n
.
H
e
r
e
,
t
h
e
p
e
r
f
o
r
m
an
ce
s
o
f
s
c
a
l
a
r
c
o
n
t
r
o
l
o
f
I
M
h
av
e
b
e
e
n
c
o
m
p
a
r
e
d
u
n
d
e
r
h
ea
l
th
y
an
d
f
au
l
ty
s
t
a
te
c
o
n
s
i
d
e
r
i
n
g
n
o
n
l
i
n
e
a
r
i
ti
e
s
o
f
b
o
th
th
e
I
M
a
n
d
co
n
t
r
o
l
d
r
iv
es
.
T
h
is
p
u
b
licatio
n
p
r
ese
n
ts
t
h
e
d
ev
elo
p
m
en
t
o
f
a
p
latf
o
r
m
f
o
r
co
-
s
i
m
u
latio
n
.
D
if
f
er
en
t
s
i
m
u
lat
io
n
en
v
ir
o
n
m
e
n
t
s
ar
e
in
te
g
r
ated
in
o
r
d
er
to
a
p
p
r
o
ac
h
th
e
m
ax
i
m
u
m
f
r
o
m
t
h
e
r
ea
lit
y
m
ac
h
i
n
e
s
tate.
T
h
e
s
i
m
u
latio
n
r
es
u
lt
s
o
f
t
h
e
I
M
d
r
iv
e
ar
e
o
b
tain
ed
u
n
d
er
n
o
r
m
al
an
d
f
a
ilu
r
e
m
o
d
es o
p
er
atin
g
co
n
d
itio
n
s
.
T
h
e
p
ap
er
is
o
r
g
an
ized
in
s
i
x
s
ec
tio
n
s
.
I
n
i
n
tr
o
d
u
ctio
n
,
t
h
e
m
o
ti
v
atio
n
o
f
th
e
co
-
si
m
u
latio
n
is
p
r
esen
ted
.
I
n
t
h
e
s
ec
o
n
d
s
ec
ti
o
n
,
th
e
FE
A
t
h
eo
r
y
is
p
r
ese
n
t
ed
an
d
th
e
f
in
i
te
ele
m
en
t
m
o
d
el
o
f
t
h
e
I
M
u
s
i
n
g
An
s
y
s
-
Ma
x
w
ell
a
n
d
th
e
i
n
v
er
ter
m
o
d
el
u
s
i
n
g
An
s
y
s
-
Si
m
p
l
o
r
er
ar
e
d
escr
ib
ed
.
I
n
th
e
th
ir
d
s
ec
tio
n
,
T
h
e
FEM
m
o
d
el
o
f
t
h
e
m
ac
h
i
n
e
is
d
ev
el
o
p
ed
o
n
Ma
x
w
e
ll
an
d
u
s
ed
f
o
r
co
-
s
i
m
u
lat
io
n
w
it
h
Si
m
p
lo
r
er
.
T
h
e
g
lo
b
al
m
o
d
el
s
tr
u
ct
u
r
e
u
s
in
g
t
h
e
lin
k
b
et
w
e
en
Si
m
p
lo
r
er
/Ma
x
w
ell
a
n
d
MA
T
L
A
B
-
Si
m
u
li
n
k
i
s
p
r
esen
te
d
in
f
o
u
r
t
h
s
ec
tio
n
.
T
h
e
s
i
m
u
la
tio
n
r
es
u
lts
o
f
t
h
e
p
r
o
p
o
s
ed
m
o
d
el
ar
e
s
h
o
w
n
an
d
an
al
y
ze
d
in
h
ea
lt
h
y
a
n
d
f
au
lt
y
co
n
d
itio
n
s
.
Fin
all
y
,
co
n
cl
u
s
io
n
s
ar
e
p
r
ese
n
ted
in
s
ec
tio
n
VI
.
2.
F
I
NI
T
E
E
L
E
M
E
NT
ANA
L
YSI
S (
F
E
A)
FEA
i
s
a
co
m
p
u
ter
b
ased
n
u
m
er
ical
tec
h
n
iq
u
e
f
o
r
ca
lcu
la
tin
g
th
e
p
ar
a
m
e
ter
s
o
f
elec
tr
o
m
a
g
n
etic
d
ev
ices.
I
t c
a
n
b
e
u
s
ed
to
ca
lc
u
late
th
e
f
l
u
x
d
e
n
s
it
y
,
f
l
u
x
li
n
k
ag
e
s
,
i
n
d
u
cta
n
ce
,
to
r
q
u
e;
in
d
u
ce
d
e
m
f
etc.
,
i
n
t
h
e
FEM
,
th
e
lar
g
e
elec
tr
o
m
ag
n
etic
d
ev
ice
is
b
r
o
k
en
d
o
w
n
in
to
m
a
n
y
s
m
all
ele
m
e
n
ts
.
T
h
e
b
eh
a
v
io
r
o
f
an
in
d
iv
id
u
al
ele
m
e
n
t
ca
n
b
e
d
es
cr
ib
ed
w
ith
a
r
elat
iv
el
y
s
i
m
p
l
e
s
et
o
f
eq
u
at
io
n
s
[
1
1
]
.
T
h
e
c
o
m
p
u
ter
ca
n
s
o
lv
e
th
is
lar
g
e
s
et
o
f
s
i
m
u
lta
n
eo
u
s
eq
u
atio
n
s
.
Fro
m
th
e
s
o
l
u
ti
o
n
,
th
e
co
m
p
u
ter
e
x
tr
ac
ts
th
e
b
eh
av
io
r
o
f
t
h
e
in
d
iv
id
u
al
ele
m
en
ts
.
I
n
f
ac
t,
FE
A
o
f
f
er
s
u
n
li
m
ited
f
le
x
ib
ilit
y
in
t
h
e
g
eo
m
etr
ical
s
h
ap
e,
m
ater
ial
p
r
o
p
er
ties
an
d
b
o
u
n
d
ar
y
co
n
d
itio
n
s
i
n
d
i
f
f
er
en
t
r
e
g
io
n
s
o
f
t
h
e
m
ac
h
i
n
e
[
1
3
]
.
I
t
p
r
o
v
id
es
also
d
etailed
in
f
o
r
m
at
io
n
ab
o
u
t
th
e
m
ac
h
in
e
n
o
n
li
n
ea
r
e
f
f
ec
ts
(
b
ased
o
n
i
ts
g
eo
m
etr
y
a
n
d
m
ater
ial
p
r
o
p
er
ties
)
.
T
h
is
m
o
d
eli
n
g
ap
p
r
o
ac
h
is
ca
p
ab
le
o
f
o
b
tain
in
g
an
ac
cu
r
ate
an
d
c
o
m
p
lete
d
escr
ip
tio
n
o
f
a
n
elec
tr
ical
m
ac
h
i
n
e
[
1
0
]
.
T
h
e
m
ag
n
etic
cir
c
u
it
is
m
o
d
eled
b
y
a
m
es
h
o
f
s
m
a
ll
ele
m
e
n
ts
.
T
h
e
f
ield
v
alu
e
s
ar
e
th
en
as
s
u
m
ed
to
b
e
a
s
i
m
p
le
f
u
n
ct
io
n
o
f
p
o
s
itio
n
w
it
h
i
n
th
e
s
e
ele
m
e
n
ts
,
en
ab
li
n
g
i
n
ter
p
o
latio
n
o
f
r
es
u
lt
s
.
T
h
e
ti
m
e
r
eq
u
ir
ed
to
ca
lcu
late
t
h
e
f
ield
d
i
s
tr
ib
u
tio
n
m
a
y
b
e
v
er
y
lo
n
g
,
d
ep
en
d
in
g
o
n
th
e
n
u
m
b
er
o
f
ele
m
en
ts
co
n
s
id
er
ed
.
A
co
m
p
r
o
m
i
s
e
m
u
s
t
b
e
r
ea
ch
ed
b
et
w
ee
n
u
s
i
n
g
f
i
n
er
m
e
s
h
e
s
to
ac
h
ie
v
e
h
ig
h
er
ac
cu
r
ac
y
a
n
d
th
e
p
r
o
ce
s
s
in
g
r
eso
u
r
ce
s
n
ee
d
ed
to
ac
h
iev
e
r
ea
s
o
n
ab
le
s
i
m
u
lat
io
n
ti
m
es.
T
h
e
FEA
is
v
er
y
f
le
x
ib
le,
esp
ec
ial
l
y
f
o
r
n
e
w
d
e
s
ig
n
s
in
co
r
p
o
r
atin
g
n
e
w
s
h
ap
es.
Ho
w
ev
e
r
lo
n
g
ti
m
e
s
i
m
u
latio
n
r
eq
u
ir
e
m
en
ts
r
ed
u
ce
its
attr
ac
ti
v
en
e
s
s
f
o
r
a
ca
s
e
w
h
e
n
a
co
n
tr
o
l
al
g
o
r
ith
m
n
ee
d
s
to
b
e
in
co
r
p
o
r
ated
[
5
]
.
T
h
is
w
o
r
k
p
r
esen
ts
th
e
d
e
v
elo
p
m
e
n
t
o
f
a
s
i
m
u
latio
n
p
latf
o
r
m
o
f
a
th
r
ee
-
p
h
a
s
e
s
q
u
ir
r
el
ca
g
e
in
d
u
ctio
n
m
o
to
r
d
r
iv
e
co
n
tr
o
l
s
y
s
te
m
.
T
h
e
m
ac
h
in
e
m
o
d
els
ar
e
f
ir
s
t
cr
ea
ted
in
A
NSY
S
Ma
x
w
ell
2
D,
a
te
m
p
late
-
b
ased
elec
tr
ic
m
ac
h
i
n
e
d
esi
g
n
to
o
l
f
u
ll
y
i
n
te
g
r
ate
d
in
to
Ma
x
w
ell,
t
h
e
n
i
m
p
o
r
te
d
in
Si
m
p
lo
r
er
f
o
r
co
-
s
i
m
u
latio
n
,
e
n
ab
lin
g
t
h
e
i
m
p
le
m
en
t
a
tio
n
o
f
t
h
e
elec
tr
o
m
e
ch
an
ica
l p
ar
ts
o
f
t
h
e
d
r
iv
e
[
4
]
.
Fin
all
y
,
a
t
w
o
w
a
y
in
ter
f
ac
e
is
estab
li
s
h
ed
b
et
w
ee
n
S
i
m
p
lo
r
er
an
d
Ma
tlab
-
Si
m
l
u
li
n
k
.
T
h
e
co
-
s
i
m
u
latio
n
i
s
d
o
n
e
b
y
ad
d
in
g
f
ir
s
t
a
Si
m
u
li
n
k
co
m
p
o
n
e
n
t
to
Si
m
p
lo
r
er
cir
cu
it,
f
o
llo
w
ed
b
y
t
h
e
cr
ea
tio
n
o
f
an
S
-
Fu
n
ctio
n
in
Si
m
u
li
n
k
u
s
in
g
t
h
e
Si
m
2
S
i
m
L
i
n
k
in
ter
f
ac
e.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8
6
9
4
IJ
PEDS
Vo
l.
7
,
No
.
4
,
Dec
em
b
er
2
0
1
6
:
1
1
0
0
–
1
1
0
9
1102
2
.
1
.
F
ini
t
e
E
le
m
ent
M
o
del o
f
I
nd
uct
io
n M
o
t
o
r
T
h
e
Ma
x
w
el
l
is
o
n
e
o
f
t
h
e
An
s
o
f
t
C
o
r
p
o
r
atio
n
s
o
f
t
w
ar
e
w
ell
k
n
o
w
n
f
o
r
Fin
ite
E
le
m
e
n
t
Me
t
h
o
d
m
o
d
eli
n
g
[
3
]
.
B
ec
au
s
e
it
h
as
m
an
y
f
ea
t
u
r
es
w
h
ic
h
alto
g
et
h
er
m
ak
e
a
n
al
y
s
i
s
o
f
m
ac
h
i
n
e
m
o
d
el
s
.
T
h
e
m
o
d
els
g
en
er
ated
i
n
Ma
x
w
ell
ca
n
als
o
b
e
in
ter
-
li
n
k
ed
to
Si
m
p
lo
r
er
f
o
r
co
-
s
i
m
u
latio
n
.
I
t
ca
n
al
s
o
m
ak
e
s
i
m
u
latio
n
b
y
its
el
f
w
h
ic
h
ca
n
m
a
k
e
p
o
s
s
ib
le
to
o
b
s
er
v
e
th
e
m
ac
h
in
e
p
ar
a
m
eter
s
an
d
p
er
f
o
r
m
an
ce
s
.
I
n
th
e
p
r
o
ce
s
s
o
f
i
m
p
u
tin
g
t
h
e
d
esig
n
d
ata
i
n
t
h
e
R
M
x
p
r
t,
a
u
s
er
h
a
s
to
s
p
ec
if
y
t
h
e
d
i
m
e
n
s
io
n
s
o
f
t
h
e
s
tato
r
an
d
r
o
to
r
o
f
th
e
m
ac
h
i
n
e
an
d
r
elate
d
p
ar
am
eter
s
s
u
c
h
as
m
ac
h
in
e
t
y
p
e,
n
u
m
b
er
o
f
p
o
les
o
f
th
e
m
ac
h
in
e
an
d
co
n
tr
o
l
t
y
p
e.
Fu
r
th
er
m
o
r
e,
a
u
s
er
h
as
to
s
p
ec
if
y
th
e
r
ated
p
a
r
am
eter
s
s
u
c
h
as
win
d
in
g
,
s
lo
t,
w
ir
e,
co
n
d
u
cto
r
s
,
in
s
u
la
tio
n
a
n
d
s
o
m
e
o
th
er
r
elate
d
p
ar
am
e
ter
s
[
1
2
]
.
A
m
o
d
el
o
f
t
h
e
I
M
w
as
co
n
s
tr
u
cted
u
s
i
n
g
Ma
x
w
e
ll
1
4
.
T
h
e
R
M
x
p
r
t
m
o
d
el
o
f
an
I
M
i
s
s
h
o
w
n
in
Fig
u
r
e
.
T
h
er
e
ar
e
f
o
u
r
s
tep
s
in
v
o
lv
ed
in
FE
A
w
h
ich
ar
e:
a.
Def
i
n
itio
n
o
f
g
eo
m
etr
ical
p
ar
am
eter
s
a
n
d
co
n
s
tr
u
c
tio
n
o
f
2
D
m
o
d
el.
b.
Def
i
n
itio
n
o
f
p
h
y
s
ical
p
ar
a
m
e
t
er
s
s
u
c
h
as r
eg
io
n
s
,
m
ater
ials
etc.
c.
C
o
n
s
tr
u
ctio
n
o
f
elec
tr
ic
cir
cu
i
t
m
o
d
el.
d.
Me
s
h
i
n
g
o
f
t
h
e
s
t
u
d
y
d
o
m
ai
n
an
d
s
o
lv
i
n
g
o
f
p
r
o
b
lem
.
Fig
u
r
e
1
s
h
o
w
s
th
e
R
Mx
p
r
t
m
o
d
el
an
d
Fig
u
r
e
2
ill
u
s
tr
ate
s
th
e
co
m
p
lete
g
eo
m
e
tr
ical
2
D
m
o
d
el
o
f
th
e
I
M.
T
h
e
p
ar
am
eter
s
o
f
th
e
m
a
ch
in
e
ar
e
d
etailed
in
T
ab
les 1
,
2
an
d
3
.
Fig
u
r
e
1
.
R
Mx
p
r
t M
o
d
el
o
f
th
e
in
d
u
ctio
n
m
o
to
r
Fig
u
r
e
2
.
2
D
Fin
ite
E
le
m
en
t
Mo
d
el
o
f
th
e
in
d
u
c
tio
n
m
o
to
r
2
.
2
.
P
o
w
er
I
nv
er
t
er
M
o
del
Fig
u
r
e
3
s
h
o
w
s
t
h
e
t
h
r
ee
-
p
h
a
s
e
i
n
v
er
ter
o
f
t
h
e
s
i
m
u
latio
n
s
tr
u
ct
u
r
e
w
h
ic
h
i
m
p
le
m
en
ted
in
An
s
y
s
-
Si
m
p
lo
r
er
.
I
n
f
ac
t,
Si
m
p
lo
r
e
r
is
a
cir
cu
it
m
o
d
eli
n
g
s
o
f
t
w
a
r
e
w
h
ic
h
i
s
al
s
o
u
s
ed
in
t
h
is
w
o
r
k
.
I
t
p
r
ese
n
t
a
s
i
m
u
lat
io
n
p
ac
k
ag
e
f
o
r
elec
tr
ic
cir
cu
it
s
i
m
u
latio
n
s
th
at
all
o
w
s
o
n
e
to
ea
s
il
y
a
n
d
q
u
ick
l
y
m
o
d
el
all
P
o
w
er
elec
tr
o
n
ic
co
m
p
o
n
e
n
t
s
o
f
a
n
ap
p
licatio
n
.
I
t
ca
n
b
e
u
s
ed
t
o
d
esig
n
a
n
d
m
o
d
el
elec
tr
ic,
elec
tr
o
n
ic,
co
n
tr
o
l
an
d
m
ec
h
an
ical
co
m
p
o
n
en
t
s
[
9
]
.
I
t
h
as
u
s
er
f
r
ien
d
l
y
g
r
ap
h
i
ca
l
in
ter
f
ac
e
s
m
a
k
i
n
g
e
v
en
co
m
p
lex
m
o
d
els
ea
s
y
to
d
ef
i
n
e
[
1
0
]
.
Du
e
to
its
ab
ilit
y
to
in
ter
-
li
n
k
w
it
h
Ma
x
w
ell
a
n
d
Si
m
u
li
n
k
,
Si
m
p
lo
r
er
w
as
th
e
b
est c
h
o
ice
to
b
e
u
s
e
d
as t
h
e
in
ter
f
ac
e
en
g
i
n
e
i
n
th
e
co
-
s
i
m
u
latio
n
o
f
t
h
is
p
ap
er
.
Du
e
to
its
ab
ilit
y
to
in
ter
-
li
n
k
w
it
h
Ma
x
w
ell
a
n
d
Si
m
u
li
n
k
,
Si
m
p
lo
r
er
w
a
s
th
e
b
est
c
h
o
ice
to
b
e
u
s
ed
as
th
e
i
n
ter
f
ac
e
e
n
g
in
e
i
n
t
h
e
co
-
s
i
m
u
latio
n
o
f
th
i
s
p
ap
er
.
H
er
e,
id
ea
l
s
w
itc
h
es
ar
e
u
s
ed
,
b
u
t
it
is
al
s
o
p
o
s
s
ib
le
to
r
ep
lace
th
e
m
w
it
h
ex
ac
t
m
o
d
el
s
o
f
I
GB
T
s
.
T
h
e
P
W
M
s
ig
n
al
s
(
Sa,
Sb
,
Sc)
ca
n
b
e
g
en
er
ated
f
r
o
m
t
h
e
co
n
tr
o
l
s
c
h
e
m
e
i
n
M
A
T
L
A
B
-
Si
m
u
li
n
k
a
n
d
r
ec
eiv
ed
th
r
o
u
g
h
a
n
i
n
ter
f
ac
e
a
n
d
f
ed
to
t
h
e
i
n
v
er
ter
s
w
itc
h
es
S1
to
S6
b
u
ilt u
p
in
Si
m
p
lo
r
er
.
I
n
th
is
w
o
r
k
,
th
e
i
n
v
er
ter
is
co
n
tr
o
lled
b
y
P
W
M
s
ig
n
als
g
en
er
at
ed
w
it
h
Si
m
p
lo
r
er
.
B
esid
es
th
e
i
n
v
er
ter
,
th
e
m
o
d
el
in
cl
u
d
es
t
h
e
co
n
ce
n
tr
ate
d
p
h
ase
en
d
-
w
i
n
d
in
g
i
n
d
u
cta
n
ce
s
L
e
n
d
an
d
p
h
ase
w
i
n
d
in
g
r
esi
s
tan
ce
s
R
s
.
T
h
ese
co
m
p
o
n
e
n
t
s
ar
e
in
clu
d
ed
in
t
h
i
s
m
o
d
el
as
it
is
n
o
t
p
o
s
s
ib
le
to
in
te
g
r
ate
t
h
e
m
i
n
a
t
w
o
d
i
m
e
n
s
io
n
al
FEM
b
ased
m
o
to
r
m
o
d
el.
Fig
u
r
e
4
a
n
d
5
g
i
v
e
t
h
e
P
W
M
s
ig
n
al
s
an
d
th
e
P
W
M
o
u
tp
u
t f
o
r
o
n
e
p
h
ase.
I
t
is
i
m
p
o
r
tan
t
to
u
s
e
Si
m
p
lo
r
er
b
ec
au
s
e
in
Si
m
u
li
n
k
s
o
f
t
w
ar
e,
a
p
o
w
er
elec
tr
o
n
ic
s
w
itc
h
li
k
e
Mo
s
f
e
t
h
as
m
o
d
eled
w
it
h
a
n
id
ea
l
s
witch
a
n
d
a
r
esis
ta
n
t
t
h
at
n
a
m
e
d
R
d
an
d
d
eter
m
i
n
ed
f
r
o
m
M
o
s
f
et
d
ata
s
h
ee
t
[
1
5
]
.
T
h
is
m
o
d
el
ca
n
n
o
t
s
i
m
u
la
te
b
eh
av
io
r
o
f
a
r
ea
l
Mo
s
f
et
lik
e
n
o
is
e,
s
w
itch
in
g
lo
s
s
es,
te
m
p
er
at
u
r
e
an
d
m
a
n
y
o
th
er
d
etails.
I
n
f
ac
t,
Si
m
p
lo
r
er
ca
lcu
lates
t
w
o
g
r
o
u
p
s
o
f
f
e
atu
r
es
f
o
r
a
s
w
itch
.
F
ir
s
t
g
r
o
u
p
is
elec
tr
ic
f
ea
t
u
r
es
lik
e
D
C
cu
r
r
en
t (
A
)
,
E
n
er
g
y
a
n
d
ti
m
e
ca
lc
u
latio
n
,
ca
p
ac
ities
an
d
p
ar
asit
ic
ele
m
e
n
ts
[
1
6
]
,
[
1
7
]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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t A
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Yemn
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ig
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r
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3
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A
th
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u
r
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4
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2
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e
v
el
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p
ar
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Sig
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Fig
u
r
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5
.
2
-
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e
v
el
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tp
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t
3.
I
M
DRIVE
M
O
DE
L
:
C
O
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SI
M
UL
AT
I
O
N
M
AXWEL
L
/S
I
M
P
L
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RE
R
I
n
t
h
is
s
ec
tio
n
,
w
e
p
r
o
p
o
s
e
to
f
ee
d
t
h
e
m
ac
h
in
e
w
it
h
a
t
h
r
e
e
-
p
h
a
s
e
P
W
M
in
v
er
ter
.
T
h
e
F
E
M
m
o
d
el
o
f
th
e
m
ac
h
i
n
e
is
d
e
v
elo
p
ed
o
n
Ma
x
w
ell
a
n
d
u
s
ed
f
o
r
s
i
m
u
l
atio
n
w
it
h
An
s
y
s
-
S
i
m
p
lo
r
er
i
n
o
r
d
er
to
h
av
e
t
h
e
s
i
m
u
lat
io
n
r
es
u
lts
o
f
th
e
co
m
p
lete
s
y
s
te
m
.
W
h
en
t
h
e
I
M
i
s
co
m
p
letel
y
b
u
ilt in
Ma
x
w
e
ll a
n
d
a
n
al
y
ze
d
,
th
en
it
w
ill
b
e
p
r
ep
ar
ed
f
o
r
co
-
s
i
m
u
lat
io
n
w
it
h
Si
m
p
lo
r
er
.
T
h
e
ex
citat
i
o
n
is
p
r
ev
io
u
s
l
y
d
e
f
in
ed
w
it
h
c
u
r
r
en
t
s
o
u
r
ce
s
.
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n
o
r
d
er
to
u
s
e
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x
w
ell
in
co
-
s
i
m
u
latio
n
w
it
h
Si
m
p
lo
r
er
,
th
e
u
s
er
n
ee
d
s
to
d
o
s
o
m
e
m
o
d
if
icati
o
n
s
o
n
t
h
e
Ma
x
w
ell
m
o
d
el.
T
h
e
2
D
FEM
m
ac
h
in
e
m
o
d
el
cr
ea
ted
an
d
an
al
y
ze
d
i
n
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x
w
ell
ca
n
n
o
t
b
e
ex
p
o
r
ted
d
ir
ec
tly
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ter
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ase
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u
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6
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6
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g
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r
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7.
F
ig
u
r
e
7
.
M
ax
w
el
l
/S
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p
l
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r
/Si
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Usi
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“SiM2
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g
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m
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-
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i
m
u
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u
r
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8
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lo
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F
ig
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r
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8
.
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I
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m
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m
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k
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d
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m
p
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.
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h
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r
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u
r
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9
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ig
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1
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50.
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75.
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100.
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125.
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FE
A
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TO
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
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8
6
9
4
IJ
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4
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er
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:
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F
ig
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e
15.
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ag
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lty
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:
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w
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as
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o
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d
6.
CO
NCLU
SI
O
NS
T
h
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ad
v
an
tag
e
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f
co
-
s
i
m
u
lat
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lts
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a
lizatio
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o
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th
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tr
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s
m
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ic
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ield
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h
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tio
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co
-
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e
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o
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h
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lin
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m
o
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el
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M
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d
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n
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o
l
d
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es.
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m
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th
e
s
ca
lar
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o
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lated
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n
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a
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l
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co
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d
itio
n
an
d
f
in
a
ll
y
t
h
e
r
es
u
lt
s
w
er
e
ill
u
s
tr
ated
an
d
co
m
p
ar
ed
.
I
n
th
is
w
o
r
k
,
a
d
y
n
a
m
ic
m
o
d
el
co
u
p
lin
g
2
D
f
i
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en
t
m
eth
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x
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ell
a
n
d
eq
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er
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er
f
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a
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ce
s
o
f
a
n
I
M
f
ed
b
y
P
W
M
in
v
er
ter
.
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h
e
n
o
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li
n
ea
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m
ag
n
etiza
t
io
n
c
h
ar
ac
ter
is
tics
h
a
v
e
b
ee
n
co
n
s
id
e
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ed
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d
ca
lcu
lated
b
y
FEM
.
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h
e
cir
cu
its
o
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th
e
in
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ter
ar
e
b
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ilt
b
y
u
s
i
n
g
th
e
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ir
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it
co
m
p
o
n
e
n
ts
in
Si
m
p
lo
r
er
.
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h
e
m
a
g
n
etic
f
ield
s
,
t
h
e
w
in
d
i
n
g
ch
ar
ac
ter
is
tic
s
an
d
t
h
e
to
r
q
u
e
o
f
th
e
I
M
ar
e
p
r
esen
ted
.
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h
e
p
er
f
o
r
m
a
n
ce
s
o
f
t
h
e
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f
ed
b
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s
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n
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s
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m
p
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as
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m
p
ar
is
o
n
w
it
h
t
h
at
o
f
f
ed
b
y
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W
M
in
v
er
ter
.
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h
e
FEM
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p
er
f
o
r
m
ed
f
o
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th
e
s
t
u
d
y
o
f
t
h
e
I
M
w
it
h
f
au
lt
s
in
tr
o
d
u
ce
d
in
t
h
e
i
n
v
er
ter
an
d
th
e
m
ac
h
i
n
e
.
I
n
f
ac
t,
Fau
lt
ca
n
b
e
d
etec
ted
o
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li
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e
b
y
o
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s
er
v
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e
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ce
c
u
r
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en
t
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n
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elec
t
r
o
m
a
g
n
etic
to
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e.
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ec
if
ica
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as sh
o
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1
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2
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3
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1.
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2
.
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p
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3
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RE
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NC
E
S
[1
]
C.
M
.
A
p
o
sto
a
ia,
“
AC
M
a
c
h
in
e
s
Dr
ive
s
S
imu
la
ti
o
n
Pl
a
tf
o
rm
”
,
IEE
E
In
tern
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
EL
e
c
tri
c
M
a
c
h
in
e
s &
Driv
e
s (IE
M
DC)
,
p
p
.
1
2
9
5
-
1
2
9
9
,
2
0
1
3
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
Mo
d
elin
g
a
n
d
S
imu
la
tio
n
o
f
I
n
d
u
ctio
n
Mo
to
r
b
a
s
ed
o
n
F
in
ite
E
leme
n
t A
n
a
lysi
s
(
Yemn
a
B
en
s
a
lem
)
1109
[2
]
C.
S
c
h
u
lt
e
,
e
t
a
l.
,
“
Co
-
simu
l
a
ti
o
n
o
f
a
n
I
n
ter
io
r
Per
ma
n
e
n
t
M
a
g
n
e
t
S
y
n
c
h
ro
n
o
u
s
M
o
to
r
wit
h
S
e
g
me
n
ted
Ro
t
o
r
S
tru
c
tu
re
”
,
IEE
E
A
n
n
u
a
l
Co
n
f
e
re
n
c
e
o
f
In
d
u
str
ial
El
e
c
tro
n
ics
S
o
c
i
e
t
y
,
p
p
.
4
3
7
-
4
4
2
,
2
0
1
4
.
[3
]
W
.
Zaa
b
i,
Y.
Be
n
sa
l
e
m
,
H.
T
ra
b
e
lsi,
“
Co
-
simu
la
ti
o
n
o
f
I
n
d
u
c
ti
o
n
mo
to
r
fed
b
y
PW
M
in
v
e
rt
e
r
u
n
d
e
r
a
b
ro
k
e
n
b
a
r
fa
u
lt
”
,
IEE
E
1
2
t
h
In
ter
n
a
ti
o
n
a
l
M
u
lt
i
-
c
o
n
f
e
re
n
c
e
o
n
S
y
ste
m
s,
S
ig
n
a
ls
a
n
d
De
v
ice
s,
S
S
D’1
5
,
M
a
rc
h
1
6
-
19,
T
u
n
isia,
2
0
1
5
.
[4
]
A
.
C
e
b
a
n
,
e
t
a
l
.,
“
S
tu
d
y
o
f
ro
to
r
f
a
u
lt
s
in
in
d
u
c
ti
o
n
m
o
to
rs
u
sin
g
e
x
tern
a
l
m
a
g
n
e
ti
c
f
ield
a
n
a
ly
sis
”
,
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
In
d
u
stri
a
l
El
e
c
tr
o
n
ics
,
v
o
l
.
5
9
,
N
o
.
5
,
p
p
:
2
0
8
2
-
2
0
9
3
,
2
0
1
2
.
[5
]
B.
L
.
Ra
jala
k
h
m
i
S
a
m
a
g
a
,
e
t
a
l
.
,
“
Co
m
p
re
h
e
n
siv
e
stu
d
y
o
f
m
ix
e
d
e
c
c
e
n
tri
c
it
y
f
a
u
lt
d
iag
n
o
sis
in
in
d
u
c
ti
o
n
m
o
to
r
s
u
sin
g
sig
n
a
tu
re
a
n
a
ly
sis”
,
El
e
c
tri
c
a
l
Po
we
r
a
n
d
En
e
rg
y
S
y
ste
ms
,
v
o
l.
35,
p
p
:
1
8
0
-
1
8
5
,
2
0
1
2
.
[6
]
G
.
P
.
M
e
h
ta,
e
t
a
l
.
,
“
P
e
rf
o
rm
a
n
c
e
A
n
a
l
y
sis
o
f
ro
tatin
g
in
d
u
c
ti
o
n
m
a
c
h
in
e
s
f
o
r
A
ir
-
G
a
p
e
c
c
e
n
tri
c
it
y
&
Ro
to
r
b
a
r
f
a
u
lt
s
u
sin
g
f
in
it
e
e
lem
e
n
t
m
e
th
o
d
”
,
I
n
ter
n
a
t
io
n
a
l
J
o
u
r
n
a
l
o
f
Res
e
a
rc
h
in
Co
m
p
u
ter
a
n
d
c
o
mm
u
n
ica
t
i
o
n
tec
h
n
o
l
o
g
y
,
v
o
l.
2
,
N
o
.
5
,
p
p
:
2
6
7
-
2
7
2
,
2
0
1
3
.
[7
]
M
.
B
o
u
z
id
,
e
t
a
l
.
,
“
A
n
e
ff
icie
n
t,
sim
p
li
f
ied
m
u
lt
ip
le
-
c
o
u
p
led
c
ircu
it
m
o
d
e
l
o
f
th
e
in
d
u
c
ti
o
n
m
o
to
r
a
i
m
e
d
to
sim
u
late
d
if
fe
re
n
t
ty
p
e
s o
f
sta
to
r
f
a
u
lt
s”
,
M
a
th
e
ma
t
ics
a
n
d
c
o
m
p
u
ter
s in
sim
u
la
ti
o
n
,
v
o
l.
9
0
,
p
p
:
9
8
-
1
1
5
,
2
0
1
3
.
[8
]
P
.
A
ru
m
u
g
a
m
,
e
t
a
l
.
,
“
M
o
d
e
li
n
g
o
f
d
iff
e
r
e
n
t
w
in
d
in
g
c
o
n
f
ig
u
ra
ti
o
n
s
f
o
r
f
a
u
lt
-
to
lera
n
t
p
e
rm
a
n
e
n
t
m
a
g
n
e
t
m
a
c
h
in
e
s
to
re
stra
in
i
n
tertu
r
n
s
h
o
rt
-
c
ircu
i
t
c
u
rre
n
t”,
IE
EE
T
r
a
n
sa
c
ti
o
n
s
o
n
En
e
rg
y
Co
n
v
e
rs
io
n
,
v
o
l.
2
7
,
No
.
2
,
2
0
1
2
.
[9
]
B.
V
a
se
g
h
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,
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ly
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p
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,
IE
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0
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A
.
M
o
h
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m
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e
d
,
e
t
a
l
.
,
“
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o
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li
n
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n
d
c
h
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ra
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teriz
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it
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le
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e
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t
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n
d
d
isc
re
te w
a
v
e
let
tran
s
f
o
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m
s”
,
IEE
E
T
ra
n
sa
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ti
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n
M
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g
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1
]
X
.
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h
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o
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e
t
a
l
.
,
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0
KW
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ra
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In
d
u
c
ti
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o
to
r
Fed
b
y
PW
M
In
v
e
rte
r
”
,
2
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d
In
tern
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ti
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a
l
Co
n
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re
n
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tro
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ic &
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e
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h
n
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ica
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n
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f
o
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ra
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p
.
1
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,
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0
1
2
.
[1
2
]
M
.
A
.
M
u
e
ll
e
r,
e
t
a
l
.,
“
Ca
lcu
l
a
ti
o
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o
f
iro
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s
fro
m
ti
me
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ste
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p
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n
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te
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lem
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mo
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e
l
o
f
c
a
g
e
in
d
u
c
ti
o
n
ma
c
h
in
e
s”
,
IEE
c
o
n
f
.
P
u
b
.
,
N
o
.
4
1
2
,
p
p
.
8
8
-
9
2
,
1
9
9
5
.
[1
3
]
J.
F
a
iz,
e
t
a
l
.,
“
A
n
e
w
p
a
tt
e
rn
f
o
r
d
e
tec
ti
n
g
b
ro
k
e
n
ro
to
r
b
a
rs
in
in
d
u
c
t
io
n
m
o
to
rs
d
u
rin
g
sta
rt
-
u
p
”
,
IEE
E
T
ra
n
s
.
M
a
g
n
.
,
v
o
l.
4
4
,
n
o
.
1
2
,
p
p
.
4
6
3
7
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4
6
8
3
,
De
c
e
m
b
e
r
2
0
0
8
.
[1
4
]
G
.
B.
Ch
u
n
g
,
e
t
a
l
.,
“
An
a
lys
is
o
f
th
e
o
p
e
ra
ti
o
n
o
f
t
h
y
risto
r
c
o
n
tr
o
ll
e
d
se
rie
s
c
o
mp
e
n
sa
to
r
i
n
ter
a
c
ti
n
g
w
it
h
p
o
we
r
sy
ste
m co
mp
o
n
e
n
ts”
,
in
P
ro
c
e
e
d
i
n
g
o
f
IT
C_
CS
CC,
p
p
.
7
4
1
～
7
4
4
,
S
e
o
u
l,
Ju
l
.
1
9
9
6
.
[1
5
]
K.
S
a
leh
,
M
.
S
u
m
n
e
r
,
“
M
o
d
e
ll
in
g
a
n
d
S
im
u
latio
n
o
f
a
S
e
n
so
rles
s
C
o
n
tr
o
l
o
f
F
iv
e
P
h
a
se
P
M
S
M
Driv
e
s
u
sin
g
M
u
lt
i
Dim
e
n
sio
n
S
p
a
c
e
V
e
c
to
r
M
o
d
u
l
a
ti
o
n
”
,
T
E
L
KOM
NIKA
T
e
lec
o
mm
u
n
ica
t
io
n
,
Co
mp
u
ti
n
g
,
El
e
c
tro
n
ics
a
n
d
C
o
n
tro
l
,
De
c
e
m
b
re
2
0
1
6
.
[1
6
]
N
Kira
n
,
"
S
tate
S
p
a
c
e
A
n
a
l
y
sis
a
n
d
M
o
d
e
ll
in
g
o
f
F
u
ll
Or
d
e
r
Ob
se
rv
e
r
b
a
se
d
Co
n
tr
o
l
o
f
S
in
g
le
P
h
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s
e
In
v
e
rter
Bo
t
h
in
S
tan
d
a
lo
n
e
a
n
d
G
rid
ti
e
M
o
d
e
s
”
,
Bu
ll
e
ti
n
o
f
El
e
c
trica
l
En
g
in
e
e
rin
g
a
n
d
I
n
fo
rm
a
ti
c
s
,
2
0
1
6
-
jo
u
r
n
a
l.
p
o
rtalg
a
ru
d
a
.
o
rg
.
[1
7
]
M
P
ra
sa
d
,
A
K
Ak
e
ll
a
,
“
P
e
rf
o
r
m
a
n
c
e
Ev
a
lu
a
ti
o
n
o
f
T
h
re
e
Di
ff
e
re
n
t
In
v
e
rter
Co
n
f
ig
u
ra
ti
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n
s
o
f
DV
R
f
o
r
M
it
ig
a
ti
o
n
o
f
V
o
lt
a
g
e
Ev
e
n
ts
”
,
In
d
o
n
e
sia
n
J
o
u
rn
a
l
o
f
El
e
c
trica
l
,
2
0
1
6
.
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