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f
icien
cy
o
f
th
e
L
SP
MSM
in
clu
d
es
th
e
ap
p
licatio
n
o
f
o
p
tim
izatio
n
alg
o
r
ith
m
s
to
ac
h
iev
e
th
e
h
ig
h
est
ef
f
icien
cy
i
n
d
esig
n
.
Op
tim
izatio
n
s
tu
d
ie
s
ty
p
ically
f
o
c
u
s
o
n
o
p
tim
izin
g
th
e
s
ize
o
f
th
e
p
er
m
an
en
t
m
ag
n
ets
(
PMs),
th
e
p
lace
m
en
t
o
f
th
e
PMs,
an
d
th
e
d
im
en
s
io
n
s
o
f
th
e
f
lu
x
b
a
r
r
ier
s
th
r
o
u
g
h
v
a
r
io
u
s
m
eth
o
d
s
s
u
ch
as
lu
m
p
e
d
m
ag
n
etic
m
o
d
els
[
6
]
,
d
esig
n
o
f
e
x
p
er
im
en
ts
(
DOE
)
[
7
]
,
p
a
r
ticle
s
war
m
o
p
tim
izatio
n
(
PS
O)
[
8
]
,
Par
eto
-
f
r
o
n
t
[
9
]
,
an
d
o
th
er
o
p
tim
izatio
n
al
g
o
r
ith
m
s
.
R
esear
ch
r
esu
lts
h
av
e
s
h
o
wn
th
at
th
e
ef
f
icien
cy
an
d
p
o
wer
f
ac
to
r
o
f
th
e
L
SP
MSM
with
o
p
tim
ized
d
esig
n
ar
e
s
ig
n
if
ican
tly
h
ig
h
e
r
co
m
p
ar
e
d
to
an
I
M
o
f
eq
u
i
v
alen
t
p
o
wer
.
I
n
a
d
d
itio
n
t
o
o
p
tim
izin
g
m
o
to
r
p
ar
am
ete
r
s
,
s
tu
d
ies
also
f
o
cu
s
o
n
p
r
o
p
o
s
in
g
n
ew
c
o
n
f
ig
u
r
atio
n
s
to
e
n
h
an
ce
ef
f
icien
cy
.
T
h
ese
p
r
o
p
o
s
als
m
ain
ly
in
v
o
lv
e
d
esig
n
s
o
lu
tio
n
s
f
o
r
r
o
to
r
co
n
f
ig
u
r
atio
n
s
,
in
cl
u
d
in
g
teeth
,
s
lo
ts
,
d
im
en
s
io
n
s
o
f
th
e
f
lu
x
b
ar
r
ier
s
an
d
PMs
[
1
0
]
,
[
1
1
]
.
An
aly
s
is
,
s
im
u
latio
n
,
a
n
d
ex
p
er
im
en
tal
r
esu
lts
in
d
icate
th
at
th
e
p
r
o
p
o
s
ed
co
n
f
i
g
u
r
atio
n
s
n
o
t
o
n
ly
ac
h
iev
e
h
ig
h
e
f
f
icien
cy
b
u
t
a
r
e
also
s
im
p
le
an
d
r
eliab
le
to
m
an
u
f
ac
tu
r
e,
u
s
in
g
m
i
n
im
al
p
er
m
an
en
t
m
a
g
n
et
m
ater
ial.
Alo
n
g
with
o
p
tim
izatio
n
r
esear
ch
an
d
th
e
p
r
o
p
o
s
ed
co
n
f
ig
u
r
atio
n
s
,
s
tu
d
ies
ev
alu
atin
g
th
e
f
ac
to
r
s
af
f
ec
tin
g
L
SP
MSM
’
s
ef
f
icien
cy
ar
e
also
o
f
in
ter
est.
Facto
r
s
in
f
lu
en
cin
g
th
e
o
p
er
atio
n
al
ef
f
icien
cy
o
f
th
e
L
SP
MSM
m
ay
in
clu
d
e
th
e
s
t
ato
r
s
lo
t
co
n
f
ig
u
r
atio
n
[
1
2
]
,
t
h
e
o
p
er
atin
g
tem
p
er
atu
r
e
[
1
3
]
,
an
d
th
e
q
u
ality
o
f
th
e
s
u
p
p
ly
v
o
ltag
e
[
1
4
]
.
All
s
tu
d
ies
in
d
icate
th
at
th
e
ef
f
icien
cy
o
f
th
e
L
SP
MSM
h
ea
v
il
y
d
ep
en
d
s
o
n
b
o
th
d
esig
n
an
d
o
p
er
atin
g
co
n
d
itio
n
s
.
T
h
er
ef
o
r
e,
f
o
r
th
e
L
SP
MSM
,
atten
tio
n
m
u
s
t
b
e
g
iv
en
n
o
t
o
n
ly
t
o
th
e
d
esig
n
p
h
ase
b
u
t
also
to
o
p
er
atio
n
al
r
eq
u
ir
em
en
ts
to
av
o
id
ad
v
er
s
e
f
ac
to
r
s
af
f
ec
tin
g
ef
f
icien
cy
.
T
h
u
s
,
it
ca
n
b
e
s
ee
n
th
at
s
tu
d
ies aim
ed
at
en
h
an
ci
n
g
th
e
ef
f
icien
c
y
o
f
L
SP
MSM
ar
e
s
till
h
ig
h
ly
r
elev
a
n
t to
d
ay
.
Alth
o
u
g
h
th
e
L
SP
MSM
h
as
b
ee
n
co
n
f
ir
m
e
d
to
h
av
e
ad
v
an
tag
es
o
f
h
ig
h
ef
f
icien
c
y
,
it
also
h
as
s
ig
n
if
ican
t
d
r
aw
b
ac
k
s
th
at
n
ee
d
to
b
e
ad
d
r
ess
ed
,
s
p
ec
if
ic
ally
th
e
r
is
k
o
f
ir
r
ev
er
s
ib
le
d
em
ag
n
etiza
tio
n
o
f
p
er
m
an
en
t
m
ag
n
ets
(
PMs)
d
u
r
in
g
o
p
er
atio
n
.
T
h
e
p
h
en
o
m
e
n
o
n
o
f
ir
r
ev
er
s
ib
le
d
em
ag
n
etiza
tio
n
af
f
ec
ts
m
o
s
t
o
f
th
e
m
o
to
r
'
s
o
p
er
atio
n
al
p
a
r
a
m
eter
s
,
p
ar
ticu
lar
ly
ef
f
icien
c
y
.
R
esear
ch
aim
ed
at
p
r
e
v
e
n
tin
g
ir
r
ev
e
r
s
ib
le
d
em
ag
n
etiza
tio
n
o
f
th
e
PM
is
cu
r
r
en
tly
a
f
o
cu
s
o
f
in
ter
est
an
d
is
a
k
ey
f
ac
to
r
d
eter
m
in
i
n
g
th
e
p
o
p
u
lar
ity
o
f
th
is
m
o
to
r
.
Am
o
n
g
th
e
f
ac
to
r
s
in
f
lu
en
cin
g
d
em
ag
n
etiza
tio
n
,
th
e
o
p
er
atin
g
tem
p
er
atu
r
e
d
ir
ec
tly
af
f
ec
ts
th
e
ch
ar
ac
ter
is
tics
o
f
th
e
PM
an
d
ca
n
e
v
en
lead
to
th
e
l
o
s
s
o
f
m
ag
n
etis
m
in
th
e
m
a
g
n
ets
.
T
h
er
ef
o
r
e,
at
h
ig
h
tem
p
er
atu
r
es,
th
e
lik
elih
o
o
d
o
f
ir
r
ev
er
s
ib
le
d
em
ag
n
etiza
tio
n
in
cr
ea
s
es
[
1
5
]
.
T
h
is
ir
r
ev
e
r
s
ib
le
d
em
ag
n
etiza
tio
n
p
r
o
ce
s
s
is
m
o
r
e
lik
el
y
to
o
cc
u
r
u
n
d
e
r
h
ea
v
y
lo
a
d
c
o
n
d
itio
n
s
,
esp
ec
ially
d
u
r
in
g
m
o
to
r
s
tar
tu
p
[
1
6
]
.
Ad
d
itio
n
ally
,
t
h
e
o
p
er
atin
g
s
tate
o
f
th
e
m
o
to
r
is
also
a
f
ac
t
o
r
th
at
ca
u
s
es
ir
r
ev
e
r
s
ib
le
d
e
m
ag
n
etiza
tio
n
.
T
h
ese
s
tates
ty
p
ically
in
clu
d
e
s
tar
tin
g
,
r
esy
n
ch
r
o
n
izatio
n
,
o
u
t
-
of
-
s
tep
f
au
lt,
o
v
er
lo
ad
,
s
h
o
r
t
c
ir
cu
its
,
o
p
en
p
h
ase
cir
cu
its
,
an
d
s
u
d
d
e
n
lo
a
d
c
h
a
n
g
es
[
1
7
]
.
Ad
d
itio
n
ally
,
th
e
c
o
n
f
ig
u
r
atio
n
o
f
th
e
m
o
to
r
an
d
th
e
PM
m
ater
ials
u
s
ed
ar
e
also
co
n
f
i
r
m
ed
to
i
n
f
l
u
en
ce
th
e
lik
elih
o
o
d
o
f
ir
r
e
v
er
s
ib
le
d
em
ag
n
etiza
tio
n
.
I
n
r
ese
ar
ch
,
s
ev
er
al
m
o
t
o
r
co
n
f
ig
u
r
atio
n
s
th
at
en
h
an
ce
r
esis
tan
ce
to
ir
r
ev
er
s
ib
le
d
em
ag
n
etiza
tio
n
h
av
e
b
ee
n
p
r
o
p
o
s
ed
[
1
8
]
,
[
1
9
]
.
Mo
r
eo
v
er
,
th
e
PM
m
ate
r
ials
ar
e
b
eliev
e
d
to
af
f
ec
t
d
e
m
ag
n
etiza
tio
n
an
d
h
a
v
e
b
ee
n
s
tu
d
i
ed
[
2
0
]
.
T
h
e
r
ef
o
r
e
,
th
e
p
h
e
n
o
m
e
n
o
n
o
f
ir
r
e
v
er
s
ib
l
e
d
em
ag
n
etiza
tio
n
is
o
n
e
o
f
th
e
m
ain
d
r
awb
ac
k
s
o
f
m
o
t
o
r
s
u
s
in
g
PM,
a
n
d
it
is
ess
en
tial to
av
o
id
th
is
o
cc
u
r
r
e
n
ce
d
u
r
i
n
g
o
p
er
atio
n
.
I
n
s
u
m
m
ar
y
,
th
e
r
e
ar
e
n
u
m
er
o
u
s
s
tu
d
ies
f
o
cu
s
in
g
o
n
d
esig
n
o
p
tim
izatio
n
,
s
elec
tin
g
s
u
itab
le
r
o
to
r
co
n
f
ig
u
r
atio
n
s
,
an
d
elim
in
atin
g
f
ac
to
r
s
th
at
a
f
f
ec
t
ef
f
icien
cy
to
en
h
a
n
ce
th
e
o
p
er
atio
n
a
l
ef
f
icien
cy
o
f
th
e
m
o
to
r
.
Ho
wev
e
r
,
th
e
L
SP
MSM
h
as
th
e
d
r
awb
ac
k
o
f
th
e
p
o
ten
tial
f
o
r
ir
r
e
v
er
s
ib
le
d
em
ag
n
etiza
tio
n
o
f
th
e
p
er
m
an
en
t
m
ag
n
ets.
D
u
e
to
th
e
p
h
e
n
o
m
en
o
n
o
f
ir
r
ev
er
s
i
b
le
d
em
ag
n
etiza
tio
n
,
th
e
m
o
to
r
will
n
o
l
o
n
g
e
r
o
p
er
ate
ac
c
o
r
d
in
g
to
its
o
r
ig
in
al
s
p
ec
if
icatio
n
s
an
d
m
ay
ev
en
f
ail
t
o
f
u
n
ctio
n
.
Fu
r
th
e
r
m
o
r
e,
ir
r
ev
e
r
s
ib
le
d
em
ag
n
etiza
tio
n
s
ig
n
if
ican
tly
af
f
ec
ts
th
e
m
o
to
r
'
s
ef
f
icien
cy
,
lead
in
g
to
a
d
ec
lin
e
in
p
er
f
o
r
m
an
ce
.
I
n
s
u
m
m
ar
y
,
it
ca
n
b
e
s
aid
th
at
th
e
g
r
ea
test
ad
v
an
tag
e
o
f
L
SP
MSM
s
is
th
eir
h
ig
h
e
f
f
icien
cy
;
h
o
wev
er
,
t
h
e
m
o
s
t
s
ig
n
if
ican
t
is
s
u
e
d
u
r
in
g
o
p
er
atio
n
is
th
e
ir
r
ev
er
s
ib
le
d
em
ag
n
etiza
tio
n
o
f
th
e
PMs.
T
h
er
e
ar
e
m
an
y
d
iv
e
r
s
e
s
tu
d
ies f
o
cu
s
ed
o
n
en
h
an
cin
g
ef
f
icien
cy
o
r
p
r
ev
en
tin
g
d
em
ag
n
etiza
tio
n
.
Ho
wev
er
,
r
esear
ch
o
n
s
elec
tin
g
p
er
m
an
en
t
m
ag
n
ets
in
ter
m
s
o
f
s
ize
an
d
ty
p
e
to
en
s
u
r
e
n
o
t
o
n
ly
h
ig
h
ef
f
icien
cy
b
u
t
also
t
o
av
o
id
d
em
ag
n
etiza
tio
n
d
u
r
in
g
o
p
er
atio
n
is
s
till
lim
ited
.
Fu
r
th
er
m
o
r
e
,
th
e
ch
o
ice
o
f
PMs
th
at
en
s
u
r
es
ef
f
icie
n
cy
an
d
p
r
ev
en
ts
d
em
ag
n
etiza
tio
n
is
cr
u
cial
in
th
e
o
p
e
r
atio
n
o
f
L
SP
MSM
,
as
th
ese
two
f
ac
to
r
s
ar
e
in
s
e
p
ar
ab
le
d
u
e
to
t
h
eir
d
ir
ec
t
m
u
tu
al
in
f
lu
e
n
ce
.
T
h
er
ef
o
r
e,
t
h
is
p
ap
er
s
tu
d
ies
d
em
ag
n
etiza
tio
n
a
n
d
th
e
o
p
er
atio
n
al
ef
f
icien
cy
o
f
th
e
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:
2088
-
8
7
0
8
P
a
r
a
metric a
n
a
lysi
s
to
o
p
timiz
e
a
tr
a
d
eo
ff b
etw
ee
n
th
e
efficien
cy
a
n
d
d
ema
g
n
etiz
a
tio
n
o
f
…
(
Le
A
n
h
Tu
a
n
)
565
L
SP
MSM
.
I
n
th
is
r
esear
ch
,
th
e
p
ap
er
ap
p
lies
p
ar
am
etr
ic
an
aly
s
is
an
d
f
in
ite
elem
e
n
t
an
al
y
s
is
(
FEA)
m
eth
o
d
s
to
ev
alu
ate
th
e
e
f
f
icien
cy
a
n
d
th
e
p
r
o
ce
s
s
o
f
ir
r
ev
er
s
ib
le
d
em
ag
n
etiza
tio
n
o
f
th
e
L
SP
M
SM
-
15
k
W
,
2
-
p
o
le.
I
n
th
e
p
ap
er
,
s
ec
tio
n
s
2
an
d
3
in
tr
o
d
u
ce
th
e
L
SP
MSM
m
o
d
el,
th
e
d
em
ag
n
etiza
tio
n
m
e
ch
an
is
m
o
f
PM,
th
e
p
ar
am
eter
s
af
f
ec
te
d
b
y
d
em
a
g
n
etiza
tio
n
,
a
n
d
t
h
e
s
elec
tio
n
o
f
PM
s
ize
to
en
s
u
r
e
p
e
r
f
o
r
m
an
ce
r
e
q
u
ir
em
e
n
ts
an
d
th
e
o
r
etica
lly
av
o
id
d
e
m
ag
n
etiza
tio
n
.
I
n
s
ec
tio
n
4
,
b
ased
o
n
p
r
elim
in
ar
y
th
eo
r
etica
l
ca
lc
u
latio
n
s
,
th
e
p
ap
er
s
im
u
lates
L
SP
MS
M,
an
d
s
ec
tio
n
5
co
n
d
u
cts
ex
p
er
im
en
ts
o
n
ce
r
tain
ch
ar
ac
ter
is
tics
to
co
n
f
i
r
m
th
e
c
o
n
s
is
ten
cy
b
etwe
en
th
eo
r
etica
l,
s
im
u
lated
,
an
d
e
x
p
er
im
en
tal
r
esu
lts
.
2.
M
O
DE
L
,
B
ACK
E
L
E
C
T
R
O
M
O
T
I
VE
F
O
RC
E
AND
E
F
F
I
CIE
NCY
2
.
1
.
M
o
del o
f
L
SPM
SM
T
h
e
m
ath
em
atica
l
m
o
d
el
o
f
L
SP
MSM
is
d
escr
ib
ed
b
y
a
s
et
o
f
eq
u
atio
n
s
co
n
ce
r
n
in
g
v
o
lt
ag
e,
f
lu
x
,
an
d
to
r
q
u
e.
T
h
e
dq
r
ef
e
r
en
ce
co
o
r
d
in
ate
s
y
s
tem
is
ty
p
ically
u
s
ed
t
o
r
e
p
r
esen
t
th
e
L
SP
MSM
m
o
d
el.
T
h
e
m
o
d
el
o
f
th
e
L
SP
MSM
is
r
ep
r
esen
ted
b
y
(
1
)
-
(
3
)
[
2
1
]
,
{
=
1
+
Ψ
−
Ψ
=
1
+
Ψ
+
Ψ
{
′
=
′
′
+
Ψ
′
=
0
′
=
′
′
+
Ψ
′
=
0
(
1
)
{
Ψ
=
(
+
)
+
′
+
Ψ
′
Ψ
=
(
+
)
+
′
{
Ψ
′
=
′
′
+
(
+
′
)
+
Ψ
′
Ψ
′
=
′
′
+
(
+
′
)
(
2
)
T
h
e
elec
tr
o
m
ag
n
etic
to
r
q
u
e
o
f
th
e
L
SP
MSM
is
d
ef
in
ed
:
=
3
2
[
(
′
−
′
)
⏟
+
Ψ
′
⏟
+
(
−
)
⏟
]
(
3
)
T
i
nd
,
T
e
x
c
,
T
re
l
is
th
e
in
d
u
ctio
n
,
ex
citatio
n
an
d
r
elu
ctan
ce
to
r
q
u
e;
p
is
th
e
n
u
m
b
er
o
f
p
o
les.
2
.
2
.
B
a
c
k
-
elec
t
ro
m
o
t
iv
e
f
o
rc
e
T
h
e
b
ac
k
-
elec
tr
o
m
o
tiv
e
f
o
r
ce
(
B
-
E
MF)
is
id
en
tifie
d
as
o
n
e
o
f
t
h
e
p
a
r
am
eter
s
th
at
s
ig
n
if
ican
tly
af
f
ec
ts
th
e
o
p
er
atin
g
c
h
ar
ac
ter
is
tics
o
f
th
e
L
SP
MSM
.
B
-
E
M
F
is
th
e
v
o
ltag
e
m
ea
s
u
r
ed
ac
r
o
s
s
th
e
ter
m
in
als
o
f
th
e
s
tato
r
win
d
in
g
wh
en
th
e
m
o
to
r
o
p
e
r
ates
at
s
y
n
ch
r
o
n
o
u
s
s
p
ee
d
an
d
is
n
o
-
lo
ad
ed
.
B
-
E
MF
is
d
eter
m
in
ed
a
s
(
4
)
[
2
2
]
:
0
=
4
.
44f
0
.
.
.
(
4
)
w
h
er
e
f
is
th
e
s
u
p
p
ly
f
r
eq
u
e
n
cy
,
w
s
is
th
e
n
u
m
b
er
o
f
s
tato
r
tu
r
n
s
p
er
p
h
ase,
k
ws
is
th
e
s
t
ato
r
win
d
in
g
f
ac
to
r
,
k
M
is
th
e
leak
a
g
e
m
a
g
n
etic
f
lu
x
c
o
ef
f
icien
t,
re
c
is
th
e
r
elativ
e
p
er
m
ea
b
ilit
y
o
f
th
e
PM,
k
C
is
th
e
C
ar
ter
co
ef
f
icien
t,
D
is
th
e
r
o
to
r
o
u
t
er
d
iam
eter
,
l
Fe
is
th
e
len
g
th
o
f
th
e
r
o
to
r
'
s
ir
o
n
co
r
e,
b
M0
is
t
h
e
n
o
-
lo
ad
leak
a
g
e
f
lu
x
co
e
f
f
icien
t o
f
th
e
PM,
B
r
i
s
th
e
r
em
an
en
ce
o
f
PM,
p
is
t
h
e
p
o
le
p
itch
co
v
e
r
ag
e
co
ef
f
ic
ien
t o
f
th
e
PM.
Fro
m
(
4
)
,
th
e
B
-
E
MF
v
alu
e
d
ep
en
d
s
o
n
th
e
r
em
a
n
en
ce
o
f
th
e
PM.
T
h
e
r
elatio
n
s
h
ip
b
etw
ee
n
B
r
an
d
E
0
is
lin
ea
r
;
as
B
r
in
cr
ea
s
es,
E
0
in
cr
ea
s
es,
a
n
d
v
ice
v
er
s
a.
Ad
d
itio
n
ally
,
th
e
B
-
E
MF
v
alu
e
also
d
ep
en
d
s
o
n
th
e
α
p
,
m
ea
n
in
g
it is
in
f
lu
en
ce
d
b
y
th
e
wid
th
o
f
th
e
f
lu
x
b
ar
r
ier
in
th
e
m
ag
n
etic
cir
cu
it.
2
.
3
.
E
f
f
iciency
T
h
e
ef
f
icien
cy
o
f
th
e
m
o
to
r
i
s
th
e
r
atio
o
f
o
u
tp
u
t
p
o
wer
t
o
in
p
u
t
p
o
wer
.
Ad
d
itio
n
ally
,
e
f
f
icien
cy
is
also
d
eter
m
in
ed
b
y
th
e
in
p
u
t
p
o
wer
co
n
s
u
m
p
tio
n
a
n
d
th
e
l
o
s
s
es.
I
n
th
e
s
tead
y
-
s
tate,
th
e
p
o
wer
co
n
s
u
m
p
tio
n
o
f
L
SP
MSM
is
d
eter
m
in
ed
as
(
5
)
[
2
3
]
:
1
=
3
[
0
+
1
2
+
(
−
)
]
(
5
)
w
h
er
e
,
ar
e
th
e
s
tato
r
s
y
n
c
h
r
o
n
o
u
s
r
ea
ctan
ce
o
f
d
an
d
q
ax
e
s
.
Fro
m
(
5
)
,
it
ca
n
b
e
s
ee
n
th
a
t
th
e
p
o
wer
co
n
s
u
m
p
tio
n
o
f
t
h
e
L
SP
MSM
d
ep
en
d
s
o
n
th
e
v
alu
e
o
f
th
e
B
-
E
MF
(
E
0
)
.
Ad
d
itio
n
ally
,
if
we
n
eg
lect
th
e
ir
o
n
co
r
e
lo
s
s
es o
f
th
e
s
tato
r
an
d
m
ec
h
an
ical
lo
s
s
es,
th
e
p
o
wer
lo
s
s
es o
f
th
e
m
o
to
r
at
th
is
p
o
in
t
ar
e
th
e
lo
s
s
es in
th
e
s
tato
r
win
d
in
g
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
7
0
8
I
n
t J E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
1
6
,
No
.
2
,
Ap
r
il
20
2
6
:
5
6
3
-
576
566
∆
=
3
1
2
=
3
1
(
2
+
2
)
(
6
)
As a
co
n
s
eq
u
en
ce
,
th
e
ef
f
icien
cy
o
f
th
e
m
o
to
r
is
(
7
)
,
=
1
−
Δ
1
=
3
[
0
+
1
2
+
(
−
)
]
−
3
1
(
2
+
2
)
3
[
0
+
1
2
+
(
−
)
]
(
7
)
T
h
u
s
,
(
7
)
s
h
o
ws
th
at
th
e
ef
f
icien
cy
o
f
th
e
m
o
to
r
in
t
h
e
s
tead
y
s
tate
d
ep
en
d
s
o
n
th
e
v
alu
e
o
f
th
e
B
-
E
MF
v
alu
e.
Ad
d
itio
n
ally
,
as
an
aly
ze
d
,
th
e
B
-
E
MF
i
s
s
ig
n
if
ican
tly
af
f
ec
ted
b
y
th
e
ir
r
ev
er
s
ib
le
d
em
a
g
n
etiza
tio
n
p
r
o
ce
s
s
.
T
h
er
ef
o
r
e,
it
ca
n
b
e
co
n
cl
u
d
ed
th
at
th
e
ef
f
icien
cy
o
f
th
e
m
o
to
r
is
also
g
r
ea
tly
i
n
f
lu
en
ce
d
b
y
th
e
d
em
ag
n
etiza
tio
n
p
h
en
o
m
en
o
n
.
3.
DE
M
AG
NE
T
I
Z
A
T
I
O
N
O
F
P
M
As
an
aly
ze
d
a
b
o
v
e,
th
e
ir
r
ev
er
s
ib
le
d
em
ag
n
etiza
tio
n
p
r
o
ce
s
s
s
ig
n
if
ican
tly
af
f
ec
ts
th
e
o
p
er
atio
n
o
f
th
e
m
o
to
r
,
p
ar
ticu
lar
ly
it
i
s
ef
f
icien
cy
d
u
r
in
g
o
p
er
atio
n
.
T
h
er
e
f
o
r
e,
th
e
o
p
e
r
atio
n
al
ch
ar
ac
ter
is
tics
an
d
d
em
ag
n
etiza
tio
n
m
ec
h
an
is
m
s
o
f
th
e
PM
will
b
e
s
tu
d
ied
an
d
an
aly
ze
d
.
A
d
d
itio
n
ally
,
i
n
th
e
d
esig
n
p
h
ase,
to
en
s
u
r
e
p
r
o
p
er
o
p
er
atio
n
an
d
a
v
o
id
PM
d
em
a
g
n
etiza
tio
n
,
s
ev
er
al
an
aly
tical
ca
lcu
latio
n
s
a
r
e
o
f
ten
ap
p
lied
t
o
s
elec
t th
e
p
r
elim
in
ar
y
d
im
en
s
io
n
s
o
f
th
e
PM.
3
.
1
.
O
pera
t
ing
po
int
o
f
P
M
T
h
e
d
em
ag
n
etiza
tio
n
cu
r
v
e
is
an
im
p
o
r
tan
t
ch
a
r
ac
ter
is
tic
o
f
PM,
co
m
m
o
n
ly
u
s
ed
to
ev
alu
ate
th
e
o
p
er
atin
g
p
o
i
n
t
an
d
th
e
lev
el
o
f
d
e
m
ag
n
etiza
tio
n
o
f
th
e
PM
.
T
h
er
e
ar
e
two
ty
p
es
o
f
d
em
ag
n
etiza
tio
n
c
u
r
v
es
co
m
m
o
n
l
y
u
s
ed
[
2
4
]
:
t
h
e
m
a
g
n
etic
f
ield
(
BH
cu
r
v
e)
a
n
d
th
e
m
ag
n
etic
f
ield
(
JH
c
u
r
v
e
)
.
E
a
ch
p
o
in
t
o
n
th
e
JH
(
,
)
ca
n
b
e
r
elate
d
to
a
co
r
r
esp
o
n
d
in
g
p
o
in
t
o
n
t
h
e
BH
c
u
r
v
e
(
H
m
,
B
m
).
=
0
+
(
8
)
I
f
th
e
o
p
er
atin
g
p
o
in
t
o
f
PM
is
with
in
th
e
lin
ea
r
r
eg
io
n
,
th
er
e
will
b
e
n
o
r
is
k
o
f
d
em
ag
n
e
tizatio
n
.
I
f
th
e
o
p
er
atin
g
cu
r
v
e
in
ter
s
ec
ts
th
e
B
H
cu
r
v
e
b
elo
w
th
e
“
k
n
ee
p
o
in
t
”
o
f
th
e
d
e
m
ag
n
etiz
atio
n
cu
r
v
e
,
p
ar
tial
ir
r
ev
er
s
ib
le
d
em
ag
n
etiza
tio
n
o
f
th
e
p
er
m
an
en
t
m
a
g
n
et
will
o
cc
u
r
.
T
h
er
ef
o
r
e,
th
e
d
esig
n
er
m
u
s
t
en
s
u
r
e
th
at
th
e
o
p
er
atin
g
p
o
in
t
is
f
ar
f
r
o
m
th
e
k
n
ee
r
eg
i
o
n
o
f
th
e
h
y
s
ter
e
s
is
cu
r
v
e
u
n
d
er
th
e
wo
r
s
t
co
n
d
itio
n
s
to
av
o
id
th
e
r
is
k
o
f
th
is
p
ar
tial ir
r
e
v
er
s
ib
le
d
em
ag
n
etiza
tio
n
.
3
.
2
.
De
m
a
g
net
iza
t
io
n m
ec
ha
nis
m
o
f
t
he
P
M
T
h
e
L
SP
MSM
i
s
af
f
ec
ted
b
y
th
r
ee
ty
p
es
o
f
m
ag
n
et
o
m
o
tiv
e
f
o
r
ce
(
MM
F)
d
u
r
in
g
th
e
s
tar
tu
p
p
r
o
ce
s
s
[
1
6
]
.
T
h
e
th
r
ee
ty
p
es
ar
e
th
e
s
tato
r
cu
r
r
en
t
MM
F
,
th
e
r
o
to
r
cu
r
r
en
t
MM
F
,
an
d
is
th
e
M
MF
g
en
er
ated
b
y
th
e
s
tato
r
cu
r
r
en
t
d
u
e
to
th
e
m
ag
n
etic
f
lu
x
v
ar
iatio
n
ca
u
s
ed
b
y
th
e
p
er
m
an
e
n
t
m
ag
n
et
(
PM)
.
T
h
ese
th
r
ee
MM
Fs
,
alo
n
g
with
g
en
er
ated
b
y
th
e
PM,
lead
to
th
e
p
h
en
o
m
en
o
n
o
f
ir
r
ev
er
s
ib
le
d
em
ag
n
etiza
tio
n
,
wh
er
e
th
e
o
p
e
r
atin
g
p
o
in
t
o
f
th
e
PM
is
b
elo
w
th
e
k
n
ee
p
o
in
t.
T
h
e
wo
r
s
t
-
ca
s
e
s
ce
n
ar
io
f
o
r
ir
r
e
v
er
s
ib
le
d
em
ag
n
etiza
tio
n
is
wh
e
n
all
th
e
m
ag
n
et
o
m
o
tiv
e
f
o
r
ce
s
ar
e
in
th
e
o
p
p
o
s
ite
d
ir
ec
tio
n
to
.
T
h
e
to
tal
m
ag
n
eto
m
o
tiv
e
f
o
r
ce
,
r
esu
ltin
g
f
r
o
m
th
e
co
m
b
in
atio
n
o
f
th
e
f
o
u
r
MM
F
,
,
,
an
d
,
is
(
9
)
:
=
+
+
+
(
9
)
T
h
e
s
q
u
ir
r
el
ca
g
e
g
en
er
ates
an
elec
tr
o
m
ag
n
etic
s
h
ield
in
g
ef
f
ec
t
d
u
r
in
g
th
e
s
tar
tu
p
p
r
o
ce
s
s
th
at
p
r
o
tects
th
e
PM
f
r
o
m
d
em
ag
n
etiza
tio
n
d
u
e
to
th
e
m
ag
n
eti
c
f
ield
F
δ
p
ass
in
g
th
r
o
u
g
h
th
e
s
q
u
ir
r
el
ca
g
e
b
ar
s
.
T
h
e
im
p
ac
t
o
f
th
e
p
r
o
tectiv
e
elec
tr
o
m
ag
n
etic
s
h
ield
ca
n
b
e
d
eter
m
i
n
ed
b
y
t
h
e
d
e
p
th
p
er
m
ea
b
ilit
y
a
n
d
is
d
ef
in
ed
b
y
(
1
0
)
a
n
d
(
1
1
)
:
=
0
−
(
/
Δ
)
(
1
0
)
Δ
=
√
2
2
1
1
1
(
1
1
)
w
h
er
e
B
0
is
th
e
m
a
g
n
etic
f
lu
x
d
en
s
ity
at
th
e
s
u
r
f
ac
e
o
f
th
e
s
q
u
ir
r
el
ca
g
e
b
ar
,
x
is
th
e
d
is
ta
n
ce
b
etwe
en
a
p
o
in
t
o
n
th
e
s
q
u
ir
r
el
ca
g
e
b
a
r
an
d
t
h
e
s
u
r
f
ac
e,
Δ
is
th
e
p
er
m
ea
b
ilit
y
d
ep
th
,
μ
1
,
σ
1
,
s
,
an
d
f
1
ar
e
th
e
p
er
m
ea
b
ilit
y
,
co
n
d
u
ctiv
ity
,
s
lip
,
an
d
f
r
eq
u
en
cy
,
r
esp
ec
tiv
ely
.
is
(
1
2
)
:
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:
2088
-
8
7
0
8
P
a
r
a
metric a
n
a
lysi
s
to
o
p
timiz
e
a
tr
a
d
eo
ff b
etw
ee
n
th
e
efficien
cy
a
n
d
d
ema
g
n
etiz
a
tio
n
o
f
…
(
Le
A
n
h
Tu
a
n
)
567
=
0
.
45
Ψ
√
2
1
(
1
⁄
)
+
(
1
2
)
w
h
er
e
X
t
is
th
e
p
h
ase
r
ea
ctan
c
e,
L
is
th
e
p
h
ase
in
d
u
ctan
ce
,
ψ
M
is
th
e
m
ag
n
etic
f
lu
x
lin
k
a
g
e
g
en
e
r
ated
b
y
th
e
PM.
W
h
en
s
tar
tin
g
u
p
,
R
1
/ω
r
is
v
er
y
lar
g
e
co
m
p
ar
ed
to
L
b
ec
au
s
e
at
th
at
p
o
in
t
ω
r
is
ze
r
o
,
lead
in
g
to
a
v
er
y
lar
g
e
.
Su
b
s
eq
u
en
tly
,
th
e
v
alu
e
o
f
R
1
/ω
r
d
ec
r
ea
s
es
r
ap
id
ly
,
an
d
L
p
lay
s
an
im
p
o
r
tan
t
r
o
le
in
o
p
er
atio
n
.
At
th
is
p
o
in
t,
is
alm
o
s
t
s
tab
le
an
d
d
o
es
n
o
t
ch
an
g
e
m
u
ch
.
T
h
u
s
,
it
ca
n
b
e
s
ee
n
th
at
af
ter
s
tar
t
u
p
,
th
e
am
p
litu
d
e
o
f
F
δ
is
s
ig
n
if
ican
tly
wea
k
en
e
d
b
y
th
e
elec
tr
o
m
ag
n
etic
s
h
ie
ld
,
b
u
t
t
h
er
e
is
s
till
s
o
m
e
F
δ
t
h
at
p
ass
es
th
r
o
u
g
h
th
e
s
q
u
ir
r
el
ca
g
e
co
n
d
u
cto
r
,
ca
u
s
in
g
PM
d
em
ag
n
etiza
tio
n
.
As
a
r
esu
lt,
if
th
e
d
esig
n
is
n
o
t
ad
eq
u
ate
,
ir
r
ev
er
s
ib
le
d
e
m
ag
n
etiza
tio
n
m
ay
o
cc
u
r
d
u
r
i
n
g
th
e
tr
a
n
s
ien
t
p
r
o
ce
s
s
es
o
f
th
e
m
o
to
r
,
s
u
ch
as
s
tar
tu
p
o
r
o
u
t
-
of
-
s
tep
f
au
lt
d
u
e
to
th
e
s
tato
r
cu
r
r
en
t
h
av
i
n
g
a
h
ig
h
v
alu
e.
W
h
en
th
is
ir
r
ev
er
s
ib
le
d
em
a
g
n
e
tizatio
n
o
cc
u
r
s
,
th
e
v
alu
e
E
0
d
e
p
en
d
s
lin
ea
r
ly
o
n
B
r
; th
er
ef
o
r
e,
E
0
is
r
ed
u
ce
d
.
3
.
3
.
Ca
lcula
t
i
o
n o
f
t
he
dim
e
ns
io
ns
o
f
t
he
P
M
s
T
h
e
v
o
lu
m
e
o
f
th
e
PM
o
f
th
e
m
o
to
r
is
p
r
o
p
o
r
tio
n
al
to
th
e
o
u
tp
u
t
p
o
wer
.
T
h
e
r
ef
o
r
e,
th
e
p
r
elim
in
ar
y
v
o
lu
m
e
o
f
th
e
PM
is
s
elec
ted
t
o
m
ee
t th
e
r
eq
u
ir
ed
o
u
tp
u
t p
o
wer
.
T
h
e
p
r
elim
in
ar
y
v
o
lu
m
e
r
eq
u
ir
ed
f
o
r
th
e
PM
o
f
th
e
L
SP
MSM
is
(
1
3
)
[
4
]
.
=
2
(
1
+
)
2
2
2
(
1
3
)
w
h
er
e
P
2
is
th
e
o
u
tp
u
t
p
o
w
er
,
H
c
is
th
e
co
er
civ
e
f
o
r
ce
,
k
ocf
is
th
e
o
v
er
lo
ad
ca
p
ac
ity
f
ac
to
r
,
k
fd
is
th
e
m
ag
n
etiza
tio
n
f
o
r
m
f
ac
t
o
r
,
k
EC
is
th
e
elec
tr
o
m
o
tiv
e
f
o
r
ce
f
ac
to
r
,
an
d
is
th
e
m
ag
n
et
u
tili
za
tio
n
f
ac
to
r
.
O
n
th
e
o
th
er
h
an
d
,
th
e
m
in
im
u
m
t
h
ick
n
ess
o
f
th
e
PM
m
u
s
t
b
e
en
s
u
r
ed
ac
co
r
d
in
g
to
th
e
(
1
4
)
t
o
av
o
id
ir
r
ev
er
s
ib
l
e
d
em
ag
n
etiza
tio
n
[
1
9
]
,
≥
2
4
√
2
2
(
1
4
)
w
h
er
e
l
M
is
t
h
e
th
ick
n
ess
o
f
th
e
PM
in
t
h
e
m
a
g
n
etiza
tio
n
d
ir
ec
tio
n
,
I
p
is
t
h
e
p
ea
k
c
u
r
r
e
n
t
v
alu
e
d
u
r
in
g
s
tar
tu
p
.
I
p
is
d
eter
m
in
ed
wh
en
s
im
u
lati
n
g
th
e
L
SP
MSM
f
r
o
m
t
h
e
m
at
h
em
atica
l m
o
d
el
in
s
ec
tio
n
2
.
4.
SI
M
UL
A
T
I
O
N
R
E
S
UL
T
S
T
h
is
p
ap
er
ap
p
lies
th
e
f
in
ite
elem
en
t
a
n
aly
s
is
(
FEA)
m
et
h
o
d
to
in
v
esti
g
ate
th
e
i
n
f
lu
e
n
ce
o
f
th
e
ir
r
ev
er
s
ib
le
d
e
m
ag
n
etiza
tio
n
p
h
en
o
m
e
n
o
n
d
u
r
in
g
s
tar
tu
p
o
n
L
SP
MSM
.
T
h
e
ex
p
e
r
im
en
tal
m
o
to
r
in
t
h
is
p
ap
er
is
an
L
SP
MSM
1
5
k
W
,
2
-
p
o
le.
T
h
e
e
x
p
er
im
e
n
tal
L
SP
MSM
u
s
es
Nd
FeB
N3
8
with
d
im
en
s
io
n
s
d
eter
m
in
ed
f
r
o
m
th
e
an
aly
tical
ca
lcu
latio
n
s
ab
o
v
e.
E
x
p
er
im
e
n
tal
L
SP
MSM
h
as
th
e
f
o
llo
win
g
m
ain
p
a
r
am
eter
s
in
T
ab
le
1
an
d
th
e
c
o
n
f
ig
u
r
atio
n
i
n
Fig
u
r
e
1
.
T
ab
le
1
.
Par
am
eter
s
o
f
ex
p
e
r
i
m
en
tal
L
SP
MSM
P
a
r
a
me
t
e
r
s
S
y
mb
o
l
V
a
l
u
e
U
n
i
t
S
t
a
t
o
r
o
u
t
e
r
,
i
n
n
e
r
d
i
a
me
t
e
r
D
in
, D
ou
t
2
4
5
,
1
5
2
mm
R
o
t
o
r
o
u
t
e
r
a
n
d
s
h
a
f
t
d
i
a
m
e
t
e
r
D
,
D
t
1
5
1
,
5
2
mm
N
u
mb
e
r
o
f
st
a
t
o
r
s
,
r
o
t
o
r
s
l
o
t
s
Z
1
,
Z
2
3
6
,
2
8
sl
o
t
s
A
i
r
g
a
p
l
e
n
g
t
h
0
,
5
mm
P
o
w
e
r
s
u
p
p
l
y
v
o
l
t
a
g
e
U
n
3
8
0
/
6
6
0
V
P
o
w
e
r
s
u
p
p
l
y
f
r
e
q
u
e
n
c
y
f
50
Hz
P
e
r
man
e
n
t
m
a
g
n
e
t
m
a
t
e
r
i
a
l
N
d
F
e
N
3
8
T
h
e
r
o
to
r
s
tr
u
ctu
r
e
o
f
th
e
ex
p
er
im
en
tal
L
SP
MSM
f
ea
tu
r
es
two
p
o
les,
ea
ch
with
th
r
ee
i
d
e
n
tical
PM
b
ar
s
.
B
ased
o
n
th
e
p
ar
am
eter
s
o
f
t
h
e
ex
p
er
im
en
tal
L
SP
MS
M,
u
s
in
g
p
r
elim
in
ar
y
(
1
3
)
an
d
(
1
5
)
,
th
e
n
ec
ess
ar
y
v
o
lu
m
e
V
M
ca
n
b
e
ca
lcu
lated
f
o
r
m
an
u
f
ac
tu
r
in
g
,
an
d
to
a
v
o
id
d
em
a
g
n
etiza
tio
n
,
l
M
=
8
m
m
ca
n
b
e
ch
o
s
en
.
Ho
wev
er
,
(
1
3
)
an
d
(
1
5
)
ar
e
u
s
ed
p
r
elim
in
ar
ily
f
o
r
in
itial
ca
lcu
latio
n
s
,
as
th
ey
ap
p
ly
th
e
lu
m
p
ed
p
ar
am
eter
m
o
d
el,
an
d
th
e
v
al
u
es
u
s
ed
in
th
e
ca
lcu
latio
n
s
ar
e
a
v
er
a
g
e
v
alu
es.
I
n
th
e
ex
p
er
im
en
t
al
L
SP
MSM
,
ea
ch
m
ag
n
etic
p
o
le
h
as
th
r
ee
p
er
m
an
en
t
m
a
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atin
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I
SS
N
:
2
0
8
8
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8
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I
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20
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atin
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g
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ar
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will b
e
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f
ec
ted
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m
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ar
e
d
to
th
e
in
itial st
ate.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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&
C
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p
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I
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2088
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8
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571
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u
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ize
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2
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o
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th
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o
f
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i
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Fig
u
r
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.
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u
r
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8
(
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s
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u
r
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8
(
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illu
s
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ates
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icien
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u
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8
(
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d
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ar
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f
r
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u
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(
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d
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(
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ased
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h
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g
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s
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th
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er
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s
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is
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u
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ee
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e
r
w
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r
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h
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r
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r
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as
s
h
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wn
in
Fig
u
r
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1
0
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in
t
h
e
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g
e
o
f
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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N
:
2
0
8
8
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8
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8
I
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ased
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f
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a
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i
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m
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n
v
er
s
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s
w
M
Evaluation Warning : The document was created with Spire.PDF for Python.