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In
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C
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A
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B
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Dep
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T
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Un
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2
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Gr
af
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Mla
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Sle
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u
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u
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.
ac
.
id
1.
I
NT
RO
D
UCT
I
O
N
L
i
n
ea
r
p
er
m
a
n
en
t
m
a
g
n
et
g
en
er
ato
r
s
(
L
P
MG
s
)
h
a
v
e
att
r
ac
ted
in
ter
est
o
f
m
a
n
y
s
cie
n
tis
ts
a
n
d
en
g
i
n
ee
r
s
ar
o
u
n
d
t
h
e
w
o
r
ld
[
1
]
.
T
h
is
g
e
n
er
ato
r
,
as
s
h
o
w
n
i
n
Fi
g
u
r
e
1
(
a)
h
av
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b
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u
s
ed
f
o
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m
a
n
y
ap
p
licatio
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s
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s
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ch
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y
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n
d
f
r
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p
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n
i
n
te
r
n
a
l
co
m
b
u
s
tio
n
en
g
i
n
e
[
2
-
3
]
.
T
h
e
ch
ar
ac
ter
is
tic
s
o
f
th
e
s
ea
w
a
v
e
ar
e
h
av
in
g
h
i
g
h
p
ea
k
f
o
r
ce
an
d
lo
w
s
p
ee
d
[
4
]
,
w
h
ic
h
all
s
u
p
p
o
r
t
th
e
u
s
e
o
f
th
i
s
g
en
er
ato
r
.
Fu
r
t
h
er
m
o
r
e,
u
n
s
ta
b
le
w
a
v
e
en
er
g
y
p
r
o
b
le
m
s
co
u
ld
b
e
s
o
lv
ed
b
y
u
tili
zi
n
g
en
er
g
y
s
to
r
ag
e
s
y
s
te
m
to
ma
i
n
tai
n
t
h
e
o
u
tp
u
t
v
o
lta
g
e
an
d
f
r
eq
u
e
n
c
y
[
5
]
.
On
th
e
o
th
er
h
a
n
d
,
th
e
u
s
e
o
f
t
h
e
L
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in
f
r
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is
to
n
co
m
b
u
s
t
io
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i
s
co
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s
id
er
ed
d
u
e
to
its
ab
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to
p
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o
d
u
ce
h
i
g
h
er
co
m
b
u
s
tio
n
e
f
f
icien
c
y
,
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ig
h
er
p
o
w
er
d
en
s
it
y
,
an
d
w
o
r
k
f
o
r
v
ar
io
u
s
f
u
els [
6
].
Dif
f
er
f
r
o
m
co
m
m
o
n
r
o
tar
y
m
o
d
el,
L
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MG
g
e
n
er
ates
el
ec
tr
ic
en
er
g
y
b
y
d
r
iv
in
g
lin
ea
r
m
o
tio
n
w
it
h
o
u
t
an
y
m
ed
iu
m
co
m
p
o
n
en
ts
,
s
u
ch
as
g
ea
r
s
,
s
cr
e
w
s
,
o
r
cr
an
k
s
h
af
ts
[
7
-
8
]
.
Gen
er
all
y
,
s
ev
er
al
ad
v
an
tag
e
s
co
u
ld
b
e
g
ain
ed
f
r
o
m
t
h
is
m
o
d
el,
s
u
ch
as
s
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m
p
ler
s
tr
u
ct
u
r
e,
h
ig
h
er
ef
f
icie
n
c
y
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n
d
lo
n
g
er
li
f
eti
m
e
co
m
p
ar
ed
to
r
o
tar
y
o
n
e
s
[
8
]
.
B
esid
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th
e
eli
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atio
n
o
f
th
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m
ed
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u
m
co
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p
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en
ts
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ce
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n
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co
s
t
an
d
s
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m
p
l
if
ie
s
th
e
s
tr
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ctu
r
e
o
f
t
h
e
m
ac
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in
e.
B
ased
o
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th
e
g
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s
h
a
p
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lin
ea
r
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ato
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s
co
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ld
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ar
ated
in
to
tu
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lar
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t
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an
d
f
lat
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t
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T
u
b
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s
c
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n
d
r
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d
y
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w
h
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le
th
e
f
lat
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n
es
h
a
v
e
p
r
is
m
s
h
ap
e.
R
ec
en
t
s
t
u
d
ies
s
h
o
w
t
h
at
f
o
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v
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s
lo
ad
,
f
lat
-
t
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e
L
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h
a
v
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ier
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d
ch
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p
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,
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d
h
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er
v
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u
es
o
f
e
f
f
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y
an
d
o
u
tp
u
t
p
o
w
er
th
a
n
th
e
tu
b
u
lar
o
n
es
[
9
-
10]
.
Fu
r
th
er
m
o
r
e,
th
e
u
s
e
o
f
p
er
m
a
n
en
t
m
ag
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et
s
f
o
r
th
e
g
e
n
er
ato
r
ex
ci
tatio
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is
b
ec
au
s
e
o
f
its
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m
p
ler
d
esig
n
,
h
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g
h
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f
l
u
x
d
en
s
it
y
in
a
ir
g
ap
,
an
d
h
i
g
h
er
ef
f
icien
c
y
[
1
1
].
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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2
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Op
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1
2
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.
B
o
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ar
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h
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i
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Fig
u
r
e
1
(
b
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.
T
h
e
last
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e
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as
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ee
n
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lar
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[
1
2
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(
a)
(
b
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Fig
u
r
e
1
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(
a)
L
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a
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t M
ag
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t
Gen
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to
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M
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b
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Flat T
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p
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lat
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r
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in
e
th
e
o
u
tp
u
t
v
o
ltag
e
a
n
d
o
u
tp
u
t
p
o
w
er
[
1
3
]
.
I
n
p
er
m
an
e
n
t
m
a
g
n
et
g
e
n
er
ato
r
s
,
in
cl
u
d
i
n
g
L
P
MG
s
,
th
e
e
x
cita
tio
n
p
er
f
o
r
m
a
n
ce
i
s
d
eter
m
i
n
ed
b
y
co
n
f
i
g
u
r
atio
n
o
f
t
h
e
p
er
m
a
n
en
t
m
a
g
n
ets.
B
esid
es,
t
h
e
c
o
n
f
i
g
u
r
atio
n
o
f
t
h
e
p
er
m
a
n
e
n
t
m
a
g
n
ets co
u
ld
also
co
n
tr
ib
u
te
to
d
is
r
u
p
ti
v
e
o
u
tp
u
t p
ar
am
eter
’
s
v
al
u
e,
s
u
c
h
as c
o
g
g
i
n
g
f
o
r
ce
[
1
4
]
.
I
n
th
is
p
ap
er
,
a
1
k
W
f
la
t
-
q
u
a
s
i
L
P
MG
w
o
u
ld
b
e
d
esi
g
n
ed
an
d
b
u
ilt.
D
u
r
i
n
g
th
e
p
r
o
ce
s
s
,
o
p
ti
m
u
m
p
er
m
a
n
e
n
t
m
a
g
n
ets
co
n
f
i
g
u
r
atio
n
w
as
r
eq
u
ir
ed
an
d
in
v
e
s
t
i
g
ated
.
T
o
o
b
tain
th
e
d
esire
d
r
esu
lt,
m
o
d
eli
n
g
an
d
s
i
m
u
lat
io
n
w
er
e
co
n
d
u
cted
.
T
h
o
s
e
th
i
n
g
s
,
h
o
w
e
v
er
ar
e
i
m
p
o
r
ta
n
t
f
o
r
p
r
eli
m
i
n
ar
y
a
n
a
l
y
s
i
s
,
as
th
e
y
co
u
ld
r
ed
u
ce
th
e
co
s
t
a
n
d
s
p
e
n
d
in
g
ti
m
e
o
f
a
n
y
r
esear
c
h
w
h
ic
h
m
ea
n
s
to
d
esi
g
n
ce
r
tain
to
o
ls
o
r
s
y
s
te
m
s
[
1
5
]
.
T
h
e
o
p
tim
izatio
n
i
n
t
h
i
s
ca
s
e
u
s
ed
p
o
le
m
o
d
i
f
icatio
n
m
et
h
o
d
.
T
h
e
o
v
er
all
d
i
m
en
s
io
n
o
f
t
h
e
m
ac
h
in
e
w
as
f
i
x
ed
,
w
h
ile
t
h
e
m
o
d
i
f
icatio
n
w
er
e
ap
p
lied
to
th
e
p
er
m
an
e
n
t
m
ag
n
et
u
n
i
ts
.
P
r
ev
io
u
s
r
esear
ch
e
s
h
av
e
tr
ied
to
f
i
n
d
o
u
t t
h
e
o
p
ti
m
u
m
d
esi
g
n
o
f
l
in
ea
r
p
er
m
a
n
e
n
t
m
ag
n
et
g
en
er
ato
r
.
I
n
tu
b
u
lar
L
P
MG
,
o
p
ti
m
izatio
n
w
as
co
n
d
u
cted
to
o
b
tain
m
i
n
i
m
u
m
elec
tr
ical
lo
s
s
es
a
n
d
m
ax
i
m
u
m
e
f
f
icien
c
y
.
I
t
is
p
er
f
o
r
m
ed
b
y
ch
a
n
g
in
g
t
h
e
len
g
t
h
r
atio
o
f
r
ad
ial
m
a
g
n
ets
an
d
ax
ia
ll
y
m
a
g
n
e
t,
an
d
th
e
r
atio
o
f
tr
an
s
lato
r
d
ia
m
eter
an
d
s
tato
r
d
ia
m
eter
[
1
6
]
.
Dif
f
er
en
t
test
s
h
ad
al
s
o
b
ee
n
co
n
d
u
cted
to
tu
b
u
lar
L
P
MG
.
T
h
is
test
s
w
er
e
m
ea
n
t
to
o
p
ti
m
ize
t
h
e
o
u
tp
u
t
p
o
w
er
,
co
g
g
in
g
f
o
r
ce
,
an
d
th
e
w
eig
h
t
o
f
t
h
e
m
ac
h
i
n
e
[
1
7
]
.
I
n
th
is
ca
s
e,
s
ev
er
al
v
a
r
iab
les,
s
u
ch
as
t
h
e
s
tato
r
co
r
e
h
ei
g
h
t,
air
g
ap
,
m
a
g
n
e
t
s
h
ei
g
h
t,
an
d
t
h
e
n
u
m
b
er
o
f
t
h
e
p
o
le
w
er
e
tes
ted
b
ased
o
n
th
e
2
D
m
o
d
el
o
f
th
e
m
ac
h
i
n
e.
Oth
er
r
esear
ch
er
in
v
est
ig
ated
th
e
o
p
ti
m
u
m
d
esi
g
n
o
n
f
lat
L
P
MG
.
T
h
e
o
p
tim
izatio
n
w
a
s
ai
m
ed
to
m
i
n
i
m
ize
t
h
e
co
g
g
in
g
f
o
r
ce
.
T
h
e
r
esear
ch
o
n
l
y
u
s
ed
co
m
m
er
ciall
y
av
ai
lab
le
p
er
m
an
e
n
t
m
a
g
n
et
s
T
h
er
ef
o
r
e
th
e
s
ize
o
f
t
h
e
m
a
g
n
ets
w
er
e
f
i
x
ed
an
d
th
e
s
ize
m
o
d
i
f
icatio
n
w
as
o
n
l
y
ap
p
lied
to
th
e
teeth
an
d
s
lo
t.
Sev
er
al
v
ar
iab
les,
s
u
c
h
as
m
ag
n
et
a
n
d
g
ap
d
im
e
n
s
io
n
,
m
a
g
n
et
s
k
e
w
i
n
g
a
n
g
le,
an
d
s
e
m
i
s
lo
t
d
i
m
e
n
s
io
n
w
er
e
m
o
d
i
f
ied
an
d
test
ed
[
1
8
]
.
A
ll
r
esear
ch
e
s
ab
o
v
e
in
v
es
tig
ate
d
th
e
o
p
ti
m
u
m
d
e
s
ig
n
o
f
t
h
e
L
P
MG
.
Ho
w
ev
er
,
t
h
er
e
ar
e
d
if
f
er
en
t
v
ar
iab
les
an
d
/o
r
o
p
tim
ized
p
ar
a
m
eter
s
a
m
o
n
g
t
h
o
s
e
r
esear
ch
es
.
I
n
th
i
s
p
ap
er
,
th
e
o
p
tim
i
za
t
i
o
n
w
a
s
f
o
cu
s
ed
o
n
th
e
p
er
m
an
e
n
t
m
a
g
n
et
v
ar
iab
les,
an
d
w
a
s
m
ea
n
t
to
o
p
ti
m
ize
t
h
e
o
u
tp
u
t
p
o
w
er
a
n
d
co
g
g
i
n
g
f
o
r
ce
.
T
h
e
v
ar
iab
les
th
at
w
er
e
m
o
d
i
f
ied
ar
e
th
e
ar
r
an
g
e
m
en
t,
u
n
i
t
y
le
n
g
th
,
n
u
m
b
er
,
an
d
s
k
e
w
i
n
g
a
n
g
l
e
o
f
th
e
p
er
m
a
n
e
n
t
m
ag
n
et
s
.
T
h
e
to
tal
v
o
lu
m
e
o
f
th
e
p
er
m
an
e
n
t
m
a
g
n
ets,
tr
a
n
s
lato
r
,
an
d
t
h
e
o
v
er
all
d
i
m
e
n
s
io
n
o
f
th
e
m
ac
h
i
n
e
w
er
e
k
ep
t c
o
n
s
ta
n
t.
First,
a
th
r
ee
p
h
ase
1
k
W
f
lat
-
q
u
a
s
i
L
P
MG
m
o
d
el
w
as
p
r
esen
ted
.
T
h
e
m
o
d
el
w
as
th
e
n
s
i
m
u
lated
u
s
i
n
g
Fi
n
ite
E
le
m
e
n
t
Me
t
h
o
d
(
FEM
)
s
o
f
t
w
ar
e
o
f
F
E
MM
.
Du
r
in
g
t
h
e
s
i
m
u
latio
n
,
t
h
e
co
n
f
i
g
u
r
atio
n
o
f
t
h
e
p
er
m
a
n
e
n
t
m
ag
n
et
w
a
s
m
o
d
if
ied
.
I
n
ea
ch
t
e
s
t,
t
h
e
o
u
tp
u
t
p
o
w
er
an
d
r
es
u
lted
co
g
g
i
n
g
f
o
r
ce
w
er
e
e
x
a
m
in
ed
an
d
n
o
ted
.
T
h
e
co
n
f
i
g
u
r
atio
n
t
h
at
p
r
o
d
u
ce
s
m
a
x
i
m
u
m
o
u
tp
u
t
p
o
w
er
a
n
d
m
in
i
m
u
m
co
g
g
i
n
g
f
o
r
ce
w
as
c
h
o
s
e
n
f
o
r
th
e
n
e
x
t te
s
ts
.
A
t t
h
e
en
d
o
f
th
e
p
ap
er
,
th
e
o
p
ti
m
izat
io
n
r
esu
lt
w
a
s
ex
a
m
i
n
ed
an
d
d
is
c
u
s
s
ed
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
J
E
C
E
Vo
l.
6
,
No
.
6
,
Dec
em
b
er
2
0
1
6
:
2
5
8
9
–
2
6
0
2
2591
2.
RE
S
E
ARCH
M
E
T
H
O
D
2
.
1
.
P
ro
po
s
ed
L
P
M
G
M
o
del
A
1
k
W
f
lat
-
q
u
asi
L
P
MG
w
a
s
m
o
d
eled
.
I
n
th
is
p
ap
er
,
t
w
o
-
s
id
ed
L
P
MG
,
as
s
h
o
w
n
in
Fi
g
u
r
e
2
(
a)
,
r
ep
r
esen
tin
g
f
o
u
r
-
s
id
ed
L
P
MG
,
as
s
h
o
w
n
in
Fig
u
r
e
2
(
b
)
.
P
er
m
a
n
en
t
m
a
g
n
e
ts
f
o
r
ex
cita
tio
n
w
e
r
e
p
lace
d
o
n
th
e
tr
an
s
lato
r
,
w
h
ile
th
e
elec
tr
ical
o
u
tp
u
t
co
u
ld
b
e
ex
tr
ac
ted
f
r
o
m
th
e
s
ta
tio
n
ar
y
p
ar
t
(
s
tat
o
r
)
.
T
h
e
p
e
r
m
a
n
e
n
t
m
ag
n
et
s
w
e
r
e
m
ad
e
o
f
r
ar
e
-
ea
r
th
m
ater
ial
(
Nd
FeB
4
0
)
an
d
w
er
e
in
i
tiall
y
ar
r
an
g
ed
in
r
ad
ial
ar
r
an
g
e
m
e
n
t.
T
h
is
in
itial a
r
r
an
g
e
m
e
n
t o
f
t
h
e
p
er
m
an
e
n
t
m
a
g
n
et
w
a
s
ill
u
s
tr
ated
in
Fi
g
u
r
e
3
.
T
h
e
s
tato
r
h
a
d
s
alien
ts
o
n
its
en
d
.
T
h
e
s
e
s
alien
ts
w
e
r
e
ai
m
e
d
to
m
ax
i
m
ize
t
h
e
f
lo
w
o
f
th
e
m
a
g
n
eti
c
f
l
u
x
f
r
o
m
t
h
e
m
a
g
n
e
ts
a
n
d
to
r
ed
u
ce
th
e
co
g
g
i
n
g
f
o
r
ce
[
1
9
]
.
Am
er
ica
n
W
ir
e
Ga
u
g
e
(
A
W
G)
1
1
w
a
s
u
s
ed
a
s
th
e
s
tato
r
w
ir
e,
b
ec
au
s
e
e
x
p
ec
ted
f
u
ll
lo
ad
cu
r
r
en
t
t
h
at
co
u
ld
b
e
g
e
n
er
ated
f
r
o
m
th
e
L
P
MG
wa
s
1
0
A
.
Fu
r
t
h
er
m
o
r
e,
th
e
s
ta
to
r
w
i
n
d
in
g
u
s
ed
co
n
ce
n
tr
ated
w
i
n
d
in
g
m
o
d
el.
Sev
er
al
eq
u
atio
n
s
w
e
r
e
co
n
s
i
d
er
ed
to
d
esig
n
t
h
is
g
en
er
ato
r
[
2
0
]
.
T
h
e
p
o
w
er
r
atin
g
o
f
t
h
e
g
en
er
ato
r
wa
s
ap
p
r
o
ac
h
ed
u
s
in
g
t
h
e
f
o
ll
o
w
i
n
g
eq
u
atio
n
,
I
V
m
P
T
.
.
(
1
)
T
h
e
v
alu
e
o
f
ex
p
ec
ted
ter
m
i
n
al
v
o
ltag
e,
V
T
n
e
x
t
lead
to
th
e
v
alu
e
o
f
ex
p
ec
ted
e
lectr
o
m
o
t
iv
e
f
o
r
ce
(
e
mf
)
,
b
y
u
s
i
n
g
th
e
f
o
llo
w
in
g
eq
u
at
io
n
,
)
(
jX
R
I
V
E
T
A
(
2
)
T
h
en
,
th
e
v
al
u
e
o
f
t
h
e
e
m
f
wa
s
u
s
ed
to
d
eter
m
i
n
e
th
e
w
id
t
h
o
f
th
e
s
ta
to
r
.
T
h
e
eq
u
atio
n
is
s
h
o
w
n
b
elo
w
,
a
v
g
T
t
s
A
s
v
B
N
M
E
W
.
.
.
2
(
3
)
Me
an
w
h
ile,
th
e
d
esire
d
v
al
u
e
o
f
r
ated
cu
r
r
en
t
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u
r
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b
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at
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P
MG
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
C
E
I
SS
N:
2
0
8
8
-
8708
Op
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r
e
3
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t
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e
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MG
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o
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n
f
i
g
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Slo
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s
d
ef
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ed
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e
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l
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u
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3
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h
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ip
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lin
k
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n
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r
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lted
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g
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g
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ce
[
2
1
].
I
n
th
is
p
ap
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th
e
s
i
m
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2
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2
.
O
pti
m
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ro
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Af
ter
m
o
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el
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a
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o
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er
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t
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s
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en
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o
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ied
.
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h
e
m
o
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if
ica
ti
o
n
w
a
s
co
n
d
u
cted
s
eq
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en
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iall
y
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th
e
p
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g
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w
a
s
m
o
d
i
f
ied
.
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h
en
th
e
p
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g
t
h
w
a
s
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o
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if
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ile
k
ee
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d
v
o
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m
e
o
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t
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ter
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ag
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et
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e
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k
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ed
w
i
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tain
s
k
e
w
i
n
g
a
n
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h
en
th
e
m
a
g
en
et
s
w
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s
k
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ed
,
t
h
e
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ize
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ea
c
h
m
a
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k
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o
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tan
t
.
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m
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icatio
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,
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ti
m
u
m
d
esig
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w
a
s
d
eter
m
in
ed
b
y
u
s
i
n
g
a
f
it
n
es
s
f
u
n
ctio
n
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
J
E
C
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Vo
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2593
T
h
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.
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t)
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2
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ial
o
r
ax
ial
m
ag
n
etic
ar
r
a
y
.
Me
an
w
h
ile,
th
e
v
al
u
e
o
f
lin
e
r
esi
s
tan
ce
co
u
ld
b
e
ca
lcu
l
ated
u
s
i
n
g
eq
u
a
tio
n
b
elo
w
.
)
(
2
.
.
.
2
w
h
l
bw
s
t
t
l
i
n
e
g
s
t
s
W
N
R
(
1
3
)
Usu
al
l
y
,
s
ec
o
n
d
ter
m
is
r
elati
v
el
y
s
m
all
co
m
p
ar
ed
to
f
ir
s
t
t
er
m
,
th
u
s
its
e
f
f
ec
t
is
n
o
t
s
ig
n
i
f
ica
n
t.
T
h
e
f
u
ll
lo
ad
o
u
tp
u
t p
o
w
er
w
a
s
th
e
n
ca
lcu
la
ted
b
y
u
s
i
n
g
eq
u
atio
n
b
elo
w
.
L
T
R
I
P
.
.
3
2
(
1
4
)
E
q
u
atio
n
(1
0
)
an
d
(
1
4
)
h
as
u
r
g
ed
to
s
et
th
e
m
a
x
i
m
u
m
cu
r
r
e
n
t
b
elo
w
t
h
e
f
u
ll
lo
ad
cu
r
r
e
n
t
in
ca
s
e
t
h
e
f
u
ll
lo
ad
cu
r
r
en
t
w
a
s
less
th
a
n
1
0
A
.
I
f
b
o
t
h
v
a
lu
e
s
a
r
e
eq
u
al
,
th
e
v
alu
e
o
f
R
L
w
o
u
ld
b
e
ze
r
o
an
d
s
o
w
o
u
ld
t
h
e
o
u
tp
u
t p
o
w
er
.
I
n
o
t
h
er
w
o
r
d
s
,
all
in
p
u
t p
o
w
er
ar
e
d
is
s
ip
ated
in
co
il
r
esis
ta
n
ce
as p
o
w
er
lo
s
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
C
E
I
SS
N:
2
0
8
8
-
8708
Op
timu
m
P
erma
n
en
t Ma
g
n
ets C
o
n
fig
u
r
a
tio
n
in
F
l
a
t
-
Qu
a
s
i
LPMGs
(
F
r
a
n
s
i
s
co
Da
n
a
n
g
Wij
a
ya
)
2594
An
o
th
er
co
n
s
id
er
atio
n
w
as
co
g
g
i
n
g
f
o
r
ce
.
I
t
is
u
n
d
e
s
ir
ed
f
o
r
ce
th
at
is
r
esu
lte
d
f
r
o
m
t
h
e
attr
ac
tiv
e
in
ter
ac
tio
n
b
et
w
ee
n
p
er
m
a
n
e
n
t
m
ag
n
ets
in
tr
a
n
s
lato
r
a
n
d
s
tato
r
teeth
,
w
h
ich
w
a
s
m
a
de
o
f
f
er
r
o
m
ag
n
etic
m
ater
ials
[
2
2
-
23
]
.
T
h
e
p
r
e
s
e
n
ce
o
f
co
g
g
i
n
g
f
o
r
ce
co
u
ld
ca
u
s
e
m
ec
h
a
n
ical
o
s
ci
llatio
n
d
u
r
in
g
tr
a
n
s
lato
r
m
o
v
e
m
e
n
t.
T
hus
,
t
h
e
v
al
u
e
o
f
th
e
co
g
g
in
g
f
o
r
ce
s
h
o
u
ld
b
e
m
in
i
m
ized
.
Sin
g
le
p
h
ase
eq
u
iv
a
len
t
cir
cu
it
in
t
h
is
test
is
s
h
o
w
n
i
n
Fi
g
u
r
e
4
(
lef
t)
.
Me
a
n
w
h
ile,
lis
t
o
f
s
y
m
b
o
ls
u
s
ed
i
n
t
h
is
p
ap
er
,
co
m
p
lete
w
it
h
t
h
eir
m
ea
n
in
g
s
an
d
u
n
i
ts
ar
e
in
T
ab
le
2
.
Sin
ce
th
r
ee
p
h
ase
g
en
er
ato
r
w
a
s
u
s
ed
,
th
er
e
w
er
e
s
el
f
an
d
m
u
tu
al
in
d
u
cta
n
ce
s
.
T
h
e
to
tal
in
d
u
c
tan
c
e
w
a
s
t
h
e
s
u
m
o
f
b
o
th
i
n
d
u
ctan
ce
s
’
v
al
u
es.
T
h
e
ef
f
ec
t
o
f
m
o
d
i
f
icatio
n
t
o
th
e
s
ize
o
f
t
h
e
g
e
n
er
ato
r
an
d
th
e
i
n
v
est
m
e
n
t
co
s
t
w
e
r
e
n
eg
lecte
d
.
E
ar
th
’
s
g
r
av
itat
io
n
a
n
d
air
f
r
ictio
n
f
o
r
ce
w
er
e
a
ls
o
n
e
g
lecte
d
.
T
h
e
o
p
tim
u
m
d
esi
g
n
in
ea
ch
m
o
d
i
f
icatio
n
w
a
s
ch
o
s
en
b
ased
o
n
th
e
v
al
u
e
o
f
f
it
n
es
s
f
u
n
ct
io
n
(
F)
b
elo
w
.
L
ar
g
er
th
e
v
al
u
e
o
f
f
it
n
es
s
f
u
n
ctio
n
,
a
d
esi
g
n
w
a
s
s
aid
to
p
r
o
d
u
ce
o
p
tim
u
m
o
r
b
etter
o
u
tp
u
t.
m
a
x
m
i
n
Fc
Fc
P
P
F
(
1
5
)
Fig
u
r
e
4.
S
in
g
le
P
h
ase
E
q
u
i
v
a
len
t C
i
r
cu
it o
f
th
e
L
P
MG
Mo
d
el
(
lef
t)
; G
en
er
ato
r
Mo
d
el
in
F
E
MM
(
r
ig
h
t)
3.
RE
SU
L
T
S
A
ND
AN
AL
Y
SI
S
3
.
1
.
O
pti
m
u
m
P
o
les’
Arr
a
ng
e
m
e
nt
As
m
e
n
tio
n
ed
ea
r
lier
,
t
h
e
in
it
i
al
co
n
f
i
g
u
r
atio
n
at
f
ir
s
t
u
s
i
n
g
r
ad
ial
p
er
m
an
e
n
t
m
a
g
n
ets
ar
r
an
g
e
m
e
n
t
.
T
h
e
ar
r
an
g
e
m
e
n
t
w
a
s
t
h
e
n
v
ar
ied
,
w
h
ile
o
th
er
p
ar
a
m
eter
s
’
v
alu
e
s
w
e
r
e
k
ep
t
co
n
s
ta
n
t.
O
v
er
all,
th
e
co
n
f
i
g
u
r
at
io
n
s
u
s
ed
i
n
t
h
is
t
est
w
e
r
e
r
ad
ial,
ax
ial,
an
d
h
alb
ac
h
.
All
o
f
t
h
ese
ar
r
an
g
e
m
en
ts
ar
e
s
h
o
w
n
i
n
Fig
u
r
e
5
(
a)
-
5
(
c)
.
R
ad
ial
ar
r
an
g
e
m
e
n
t
i
n
th
i
s
co
n
f
i
g
u
r
atio
n
w
as
s
h
o
w
n
i
n
th
e
lef
t
s
id
e
o
f
Fi
g
u
r
e
5
(
a)
.
I
n
th
is
ar
r
an
g
e
m
en
t,
t
w
o
ad
j
ac
en
t
m
a
g
n
et
s
h
a
v
e
alter
n
ati
n
g
m
a
g
n
e
ti
za
tio
n
,
w
i
th
o
n
e
p
o
in
ts
o
u
t
t
h
e
s
tato
r
an
d
an
o
th
er
p
o
in
ts
o
u
t
th
e
o
p
p
o
s
ite
d
ir
ec
tio
n
.
T
h
is
ar
r
an
g
e
m
e
n
t
is
r
elati
v
el
y
s
i
m
p
le
a
n
d
lo
w
-
co
s
t
as
s
e
m
b
l
y
.
Ho
w
e
v
er
,
f
o
r
m
o
r
e
t
h
an
o
n
e
-
s
id
ed
p
er
m
an
en
t
m
a
g
n
et
ar
r
a
y
s
,
m
a
g
n
etic
y
o
k
e
is
n
ee
d
ed
to
m
ai
n
tain
t
h
e
d
is
tan
ce
a
m
o
n
g
th
o
s
e
ar
r
a
y
s
.
T
h
is
y
o
k
e
w
o
u
ld
th
e
n
ca
u
s
e
s
ev
er
al
co
n
s
id
er
ati
o
n
,
s
u
c
h
a
s
ed
d
y
c
u
r
r
en
t
lo
s
s
an
d
in
cr
ea
s
e
o
f
t
h
e
g
en
er
ato
r
w
eig
h
t.
Ax
ial
ar
r
an
g
e
m
en
t
in
t
h
i
s
co
n
f
i
g
u
r
atio
n
w
as
s
h
o
w
n
in
Fi
g
u
r
e
5
(
b
)
.
I
t
d
o
es
n
o
t
h
av
e
to
b
e
s
tick
ed
o
n
m
ag
n
etic
y
o
k
e.
I
n
th
i
s
ar
r
an
g
e
m
en
t,
ea
ch
m
ag
n
et
h
a
v
e
m
a
g
n
et
iza
tio
n
t
h
at
i
s
p
er
p
en
d
icu
lar
to
th
e
s
u
r
f
ac
e
o
f
th
e
s
ta
to
r
teeth
.
T
h
e
ad
j
ac
en
t
m
ag
n
et
s
w
o
u
ld
n
at
u
r
all
y
r
ep
el
ea
ch
o
th
er
d
u
e
to
th
eir
m
a
g
n
etiza
tio
n
s
e
tti
n
g
,
s
o
th
e
y
m
i
g
h
t
b
e
tied
to
h
o
ld
th
e
ir
p
o
s
itio
n
.
T
h
is
ar
r
an
g
e
m
e
n
t
co
u
ld
b
e
ass
e
m
b
led
w
it
h
o
r
w
ith
o
u
t
a
n
y
d
is
ta
n
ce
p
iece
s
b
et
w
ee
n
t
w
o
m
a
g
n
ets.
T
h
e
m
a
g
n
et
ic
f
ield
r
esu
lted
f
r
o
m
r
ad
ial
an
d
ax
ial
m
a
g
n
e
ti
c
ar
r
ay
s
ar
e
s
h
o
w
n
i
n
th
e
r
ig
h
t
s
id
e
o
f
Fig
u
r
e
5
(
a)
an
d
Fig
u
r
e
5
(
b
)
s
u
cc
ess
i
v
el
y
.
I
t
co
u
ld
b
e
s
ee
n
t
h
at
b
o
th
ar
r
an
g
e
m
en
t
r
es
u
lt
m
a
g
n
et
ic
f
ield
i
n
b
o
th
s
id
es o
f
ea
c
h
ar
r
a
y
.
T
h
e
co
n
s
e
q
u
en
ce
s
is
t
h
at
t
h
e
m
a
g
n
etic
f
i
eld
th
r
o
u
g
h
t
h
e
y
o
k
e
w
o
u
ld
b
e
q
u
ite
lar
g
e,
w
h
ic
h
th
en
g
e
n
er
ates
q
u
ite
lar
g
e
e
d
d
y
cu
r
r
e
n
t
lo
s
s
e
s
.
B
esid
es,
th
e
m
a
g
n
etic
f
lu
x
t
h
at
f
lo
w
s
to
th
e
co
il
w
o
u
ld
d
ec
r
ea
s
e,
s
o
th
e
o
u
tp
u
t p
o
w
er
w
o
u
ld
n
o
t b
e
o
p
tim
u
m
.
Ha
lb
ac
h
ar
r
an
g
e
m
e
n
t
in
t
h
is
co
n
f
i
g
u
r
atio
n
is
s
h
o
w
n
i
n
th
e
lef
t
s
id
e
o
f
Fig
u
r
e
5
(
c)
.
I
t
c
o
n
s
is
ts
o
f
alter
n
ati
n
g
r
ad
ial
an
d
a
x
ial
m
ag
n
et
s
.
I
n
t
h
i
s
ca
s
e,
t
h
er
e
ar
e
f
o
u
r
d
ir
ec
tio
n
s
o
f
m
a
g
n
e
t
izatio
n
,
w
h
ich
y
ie
ld
n
ea
r
l
y
s
i
n
u
s
o
id
al
m
a
g
n
etic
f
l
u
x
o
u
tp
u
t.
Mo
r
eo
v
er
,
t
h
is
co
n
f
ig
u
r
atio
n
w
o
u
ld
au
g
m
e
n
t
th
e
m
a
g
n
etic
f
ield
o
n
o
n
e
s
id
e
o
f
th
e
p
er
m
a
n
e
n
t
m
a
g
n
et
s
ar
r
a
y
,
an
d
ca
n
ce
l
t
h
e
f
ie
ld
u
p
to
n
ea
r
l
y
ze
r
o
o
n
th
e
o
th
er
s
id
e.
T
h
is
ar
r
a
y
p
r
o
p
er
ties
c
o
u
ld
in
cr
ea
s
e
th
e
ef
f
icien
c
y
o
f
th
e
g
en
er
ato
r
,
s
in
c
e
th
e
m
ag
n
etic
f
lu
x
f
r
o
m
t
h
e
p
er
m
an
e
n
t
m
a
g
n
et
s
co
u
ld
b
e
f
o
cu
s
ed
to
o
n
e
s
id
e.
Ho
w
e
v
er
,
th
e
i
n
v
e
s
t
m
en
t c
o
s
t o
f
th
i
s
ar
r
an
g
e
m
e
n
t is q
u
ite
h
i
g
h
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
J
E
C
E
Vo
l.
6
,
No
.
6
,
Dec
em
b
er
2
0
1
6
:
2
5
8
9
–
2
6
0
2
2595
T
h
e
m
a
g
n
etic
f
ield
f
r
o
m
h
al
b
ac
h
ar
r
an
g
e
m
en
t
is
s
h
o
w
n
i
n
th
e
r
i
g
h
t
s
id
e
o
f
Fi
g
u
r
e
5
(
c)
.
I
n
th
is
ar
r
an
g
e
m
en
t,
th
e
m
ag
n
etic
f
ield
th
r
o
u
g
h
t
h
e
m
ag
n
etic
y
o
k
e
is
les
s
er
th
a
n
t
h
e
p
r
e
v
i
o
u
s
ar
r
an
g
e
m
en
ts
.
T
h
er
ef
o
r
e,
th
is
ar
r
an
g
e
m
en
t
c
o
u
ld
r
ed
u
ce
th
e
ed
d
y
cu
r
r
en
t
lo
s
s
.
Mo
r
eo
v
er
,
th
e
m
a
g
n
e
tic
f
l
u
x
th
a
t
f
lo
w
s
to
s
tato
r
w
o
u
ld
b
e
lar
g
er
t
h
an
t
h
e
p
r
ev
io
u
s
ar
r
an
g
e
m
e
n
t.
I
t
w
o
u
ld
th
e
n
in
cr
ea
s
e
t
h
e
i
n
d
u
ce
d
v
o
ltag
e
a
n
d
t
h
e
o
u
tp
u
t p
o
w
er
o
f
t
h
e
g
en
er
ato
r
.
(
a)
(
b
)
(
c)
Fig
u
r
e
5
.
A
r
r
an
g
e
m
en
t
M
o
d
el:
(
a)
Ra
d
ial,
(
b
)
A
x
ia
l,
(
c)
H
alb
ac
h
.
Fig
u
r
e
6
.
Fre
q
u
en
c
y
a
n
d
I
m
p
e
d
an
ce
o
f
Va
r
io
u
s
A
r
r
an
g
e
m
en
t
Fig
u
r
e
7
.
T
h
e
V
alu
es o
f
I
n
d
u
c
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Vo
ltag
e,
T
er
m
in
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Vo
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an
d
C
o
g
g
i
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g
Fo
r
ce
f
r
o
m
Var
io
u
s
A
r
r
an
g
e
m
e
nt
Evaluation Warning : The document was created with Spire.PDF for Python.
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2
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8
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Op
timu
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erma
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fig
u
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a
tio
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F
l
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2596
(
a)
(
b
)
Fig
u
r
e
8
.
(
a)
Ou
tp
u
t
Po
w
er
,
an
d
(
b
)
Fit
n
ess
F
u
n
ct
i
o
n
o
f
Var
i
o
u
s
C
o
n
f
i
g
u
r
atio
n
T
h
e
s
i
m
u
latio
n
u
s
ed
1
m
/s
as
th
e
tr
an
s
latio
n
s
p
ee
d
,
an
d
w
a
s
ass
u
m
ed
co
n
s
ta
n
t.
I
n
h
alb
ac
h
ar
r
an
g
e
m
en
t,
o
n
e
p
er
io
d
o
f
elec
tr
ical
w
a
v
e
w
o
u
ld
b
e
g
e
n
e
r
ated
in
co
il
af
ter
f
o
u
r
ad
j
ac
e
n
t
p
o
les
p
ass
i
n
g
a
s
tato
r
to
o
th
w
h
er
e
th
at
co
il
lies
.
Me
an
w
h
ile
in
b
o
th
r
ad
ial
an
d
ax
ial
ar
r
a
y
,
s
a
m
e
a
m
o
u
n
t
o
f
w
a
v
e
co
u
ld
b
e
g
en
er
ated
a
f
ter
t
w
o
ad
j
ac
en
t
p
o
les
p
ass
in
g
t
h
e
to
o
th
.
B
ec
au
s
e
t
h
e
tr
a
n
s
latio
n
s
p
ee
d
w
a
s
s
a
m
e
f
o
r
all
ar
r
an
g
e
m
en
t
s
,
th
e
n
t
h
e
elec
tr
i
ca
l
f
r
eq
u
en
c
y
r
es
u
lted
f
r
o
m
h
alb
ac
h
ar
r
an
g
e
m
e
n
t
w
o
u
ld
les
s
th
a
n
th
e
elec
tr
ical
f
r
eq
u
en
c
y
o
f
b
o
th
ax
ia
l
an
d
r
ad
ial
ar
r
an
g
e
m
e
n
t
.
T
h
e
elec
t
r
ical
f
r
eq
u
en
c
y
t
h
e
n
d
eter
m
i
n
es
th
e
i
n
d
u
cta
n
ce
,
r
ea
ctan
ce
,
an
d
th
u
s
i
m
p
ed
an
c
e
o
f
th
e
co
il.
T
h
e
f
r
eq
u
e
n
c
y
a
n
d
th
e
i
m
p
ed
an
ce
o
f
al
l
ar
r
an
g
e
m
e
n
t
ar
e
s
h
o
w
n
i
n
Fig
u
r
e
6
.
Halb
ac
h
ar
r
an
g
e
m
e
n
t
r
es
u
lts
lo
w
er
elec
tr
ical
f
r
eq
u
en
c
y
,
t
h
u
s
lo
w
er
i
m
p
ed
an
ce
th
an
t
h
e
o
th
er
t
w
o
ar
r
an
g
e
m
en
t
s
.
On
t
h
e
o
th
er
h
a
n
d
,
f
o
cu
s
s
ed
m
ag
n
etic
f
l
u
x
o
f
h
alb
ac
h
ar
r
ay
in
d
u
ce
s
lar
g
er
v
o
ltag
e
t
h
a
n
th
e
o
th
er
ar
r
ay
s
.
T
h
en
w
it
h
lo
w
er
co
il
im
p
ed
a
n
ce
,
th
e
ter
m
i
n
al
v
o
ltag
e
o
f
th
e
h
alb
ac
h
ar
r
a
y
w
o
u
ld
b
ec
o
m
e
t
h
e
lar
g
e
s
t
,
an
d
s
o
i
s
t
h
e
o
u
tp
u
t
p
o
w
er
.
T
h
e
v
alu
e
s
o
f
t
h
e
i
n
d
u
ce
d
v
o
ltag
e
a
n
d
o
u
tp
u
t
p
o
w
er
o
f
a
ll
ar
r
an
g
e
m
e
n
t
s
ar
e
s
h
o
w
n
in
F
ig
u
r
e
7
an
d
Fig
u
r
e
8
(
a)
r
esp
ec
tiv
el
y
.
T
h
e
ar
r
an
g
e
m
e
n
t
also
af
f
ec
t
th
e
co
g
g
in
g
f
o
r
ce
.
F
r
o
m
F
i
g
u
r
e
7
,
h
alb
ac
h
ar
r
an
g
e
m
e
n
t
s
u
f
f
er
s
t
h
e
lar
g
est
co
g
g
i
n
g
f
o
r
ce
.
T
h
is
i
s
d
u
e
to
th
e
s
tr
o
n
g
e
s
t
m
a
g
n
et
ic
f
ield
r
es
u
lted
f
r
o
m
th
is
ar
r
an
g
e
m
en
t,
co
m
p
ar
ed
to
th
e
o
th
er
t
w
o
.
On
t
h
e
o
t
h
er
h
a
n
d
,
r
ad
ial
ar
r
an
g
e
m
e
n
t
s
u
f
f
er
s
th
e
lo
w
est.
I
n
t
h
i
s
ar
r
an
g
e
m
e
n
t,
th
e
ac
cu
m
u
latio
n
o
f
th
e
f
lu
x
d
en
s
it
y
o
n
t
h
e
ed
g
e
s
o
f
th
e
p
er
m
a
n
e
n
t
m
ag
n
et
d
ec
r
ea
s
es.
Fro
m
Fi
g
u
r
e
8
(
b
)
,
h
alb
ac
h
ar
r
an
g
e
m
e
n
t
p
r
o
d
u
ce
s
th
e
lar
g
e
s
t
f
i
tn
e
s
s
f
u
n
ctio
n
.
I
n
o
th
er
w
o
r
d
s
,
th
i
s
ar
r
an
g
e
m
en
t
g
i
v
es
th
e
o
p
ti
m
u
m
o
u
tp
u
t.
T
h
is
co
n
f
ig
u
r
atio
n
w
o
u
ld
th
e
n
b
e
u
s
ed
as
in
iti
al
co
n
f
i
g
u
r
atio
n
f
o
r
n
ex
t te
s
ts
.
3
.
2
.
O
pti
m
u
m
P
o
le
L
e
ng
t
h
T
h
e
d
im
e
n
s
io
n
o
f
t
h
e
p
o
le
at
f
ir
s
t
f
o
llo
w
ed
w
h
at
ar
e
m
e
n
ti
o
n
ed
in
T
ab
le
1
.
T
h
en
th
e
v
al
u
e
o
f
p
o
le
len
g
th
p
er
s
lo
t
p
itch
le
n
g
th
(
τ
p
/τ
t
)
w
a
s
v
ar
ied
,
w
it
h
o
th
er
p
ar
a
m
eter
s
’
v
al
u
e
s
w
er
e
k
ep
t
co
n
s
ta
n
t.
B
ec
au
s
e
t
h
e
tr
an
s
lato
r
to
tal
len
g
t
h
a
n
d
th
e
m
ag
n
et
s
’
to
tal
le
n
g
th
an
d
v
o
lu
m
e
w
er
e
k
ep
t,
t
h
e
c
h
an
g
e
i
n
p
o
le
len
g
th
w
as
th
e
n
co
m
p
e
n
s
ated
b
y
ch
a
n
g
i
n
g
t
h
e
n
u
m
b
er
o
f
p
o
les.
L
o
n
g
er
th
e
p
o
le
len
g
t
h
(
τ
p
)
,
th
e
n
u
m
b
er
o
f
th
e
p
o
le
w
o
u
ld
b
e
f
e
w
er
,
an
d
v
ice
v
er
s
a
.
F
u
r
th
er
m
o
r
e,
t
h
e
in
itial tr
an
s
latio
n
s
p
ee
d
in
th
i
s
test
w
a
s
s
et
1
m
/
s
.
T
h
e
r
esu
lts
s
h
o
w
t
h
at
t
h
e
v
al
u
e
o
f
τ
p
/τ
t
w
o
u
ld
af
f
ec
t
t
h
e
v
alu
e
o
f
t
h
e
i
n
d
u
ce
d
v
o
lta
g
e
a
n
d
ter
m
i
n
al
v
o
ltag
e,
as
s
h
o
w
n
i
n
Fi
g
u
r
e
1
0
(
a)
.
T
h
e
len
g
t
h
o
f
ea
c
h
p
er
m
an
en
t
m
a
g
n
et
af
f
ec
t
s
th
e
r
elat
iv
e
p
o
s
itio
n
o
f
an
y
m
ag
n
et
to
w
ar
d
th
e
s
tato
r
.
I
t
th
en
a
f
f
ec
ts
t
h
e
i
n
s
ta
n
ta
n
eo
u
s
v
alu
e
a
s
w
ell
as
t
h
e
r
ate
o
f
ch
an
g
e
o
f
t
h
e
f
lu
x
lin
k
ag
e
i
n
t
h
e
co
il.
T
h
e
latter
p
ar
am
eter
,
w
o
u
ld
d
eter
m
in
e
t
h
e
v
alu
e
o
f
in
d
u
ce
d
v
o
ltag
e
s
.
T
h
e
len
g
t
h
o
f
t
h
e
m
a
g
n
et
o
n
th
e
o
t
h
er
h
a
n
d
,
is
i
n
v
er
s
el
y
p
r
o
p
o
r
tio
n
al
to
th
e
o
u
tp
u
t
elec
tr
ical
f
r
eq
u
en
c
y
.
T
h
is
f
r
eq
u
e
n
c
y
w
o
u
ld
th
e
n
af
f
ec
t
th
e
i
m
p
ed
a
n
ce
o
f
th
e
co
il.
Fig
u
r
e
1
1
(
a)
s
h
o
w
s
t
h
e
v
al
u
es
o
f
t
h
e
elec
tr
ical
f
r
eq
u
e
n
c
y
a
n
d
th
e
c
o
il
i
m
p
ed
an
ce
f
o
r
v
ar
io
u
s
v
al
u
es
o
f
τ
p
/τ
t
.
T
h
e
v
alu
e
s
o
f
t
h
e
in
d
u
ce
d
v
o
ltag
e
a
n
d
co
il
i
m
p
ed
an
ce
w
o
u
ld
d
eter
m
in
e
t
h
e
ter
m
in
al
v
o
lta
g
e,
w
h
ic
h
is
d
ir
ec
tl
y
p
r
o
p
o
r
tio
n
al
to
th
e
o
u
tp
u
t
p
o
w
er
o
f
th
e
g
e
n
er
ato
r
.
T
h
e
len
g
t
h
a
n
d
n
u
m
b
er
o
f
th
e
m
ag
n
et
s
al
s
o
d
eter
m
i
n
es
t
h
e
c
o
g
g
i
n
g
f
o
r
ce
,
as
s
h
o
w
n
in
Fi
g
u
r
e
1
0
(
b
)
.
I
n
th
i
s
ca
s
e,
i
f
ea
ch
m
a
g
n
et
h
as
eq
u
al
s
ize,
t
h
u
s
th
e
y
p
r
o
d
u
ce
eq
u
al
m
a
g
n
etic
f
ield
.
Mo
r
eo
v
er
th
e
to
tal
tr
an
s
lato
r
v
o
lu
m
e
a
n
d
len
g
t
h
w
er
e
al
s
o
co
n
s
ta
n
t.
Ho
w
e
v
er
,
d
if
f
er
e
n
t
s
ize
o
f
s
i
n
g
le
m
ag
n
et
r
esu
lt
s
i
n
d
i
f
f
er
e
n
t
cu
m
u
lat
iv
e
in
ter
ac
tio
n
s
in
an
ar
r
ay
,
a
n
d
th
u
s
d
if
f
er
en
t
f
o
r
ce
r
esu
lta
n
t.
T
h
en
th
e
a
v
er
a
g
e
c
o
g
g
i
n
g
f
o
r
ce
w
o
u
ld
d
if
f
er
a
m
o
n
g
d
if
f
er
en
t p
o
le
le
n
g
t
h
,
f
o
r
eq
u
al
to
tal
len
g
th
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
J
E
C
E
Vo
l.
6
,
No
.
6
,
Dec
em
b
er
2
0
1
6
:
2
5
8
9
–
2
6
0
2
2597
T
h
e
in
ter
ac
tio
n
w
h
ic
h
s
h
o
w
s
t
h
e
co
g
g
i
n
g
f
o
r
ce
co
u
ld
b
e
d
escr
ib
ed
th
r
o
u
g
h
t
h
e
m
a
g
n
et
ic
f
l
u
x
’s
li
n
e
s
w
h
ic
h
ar
e
r
esu
lted
f
r
o
m
ea
c
h
co
n
f
i
g
u
r
atio
n
.
Mo
r
e
in
te
n
s
e
t
h
e
co
n
ti
n
u
o
u
s
f
l
u
x
’s
l
in
e
s
f
r
o
m
th
e
m
a
g
n
e
t
to
th
e
s
tato
r
teeth
m
ea
n
s
s
tr
o
n
g
er
th
e
in
ter
ac
tio
n
.
Ho
w
e
v
er
,
th
e
av
er
ag
e
co
g
g
i
n
g
f
o
r
ce
v
al
u
e
i
n
t
h
is
p
ap
er
co
n
s
id
er
s
th
e
in
ter
ac
tio
n
at
all
p
o
s
itio
n
s
.
So
,
th
e
m
a
g
n
et
ic
f
l
u
x
i
n
te
n
s
it
y
in
all
r
elati
v
e
p
o
s
itio
n
(
d
u
r
in
g
t
h
e
tr
an
s
lato
r
m
o
v
e
m
e
n
t)
o
f
t
h
e
tr
an
s
lato
r
an
d
s
tato
r
w
o
u
ld
i
n
f
lu
e
n
ce
t
h
e
r
esu
lt.
F
ig
u
r
e
9
(
a)
to
9
(
d
)
s
h
o
w
s
t
h
e
d
if
f
er
e
n
t
m
ag
n
etic
f
l
u
x
’
s
li
n
es a
n
d
i
n
te
n
s
it
y
a
m
o
n
g
s
e
v
er
al
co
n
f
ig
u
r
a
tio
n
at
th
e
s
a
m
e
p
o
s
itio
n
.
(
a)
(
b
)
(
c)
(
d
)
Fig
u
r
e
9
.
Dif
f
er
en
t
Ma
g
n
e
tic
Flu
x
I
n
te
n
s
it
y
R
elat
es to
t
h
e
S
tr
en
g
t
h
o
f
I
n
ter
ac
ti
o
n
o
f
Flat
-
Qu
a
s
i
L
P
MG
w
it
h
,
(
a)
18
Po
les;
(
b
)
1
3
Po
les;
(
c)
9
Po
les;
(
d
)
6
Po
les,
at
s
am
e
Po
s
itio
n
(
a)
(
b
)
Fig
u
r
e
1
0
.
(
a)
Valu
es o
f
I
n
d
u
c
ed
Vo
lt
ag
e
an
d
T
er
m
i
n
al
Vo
lt
ag
e
f
o
r
Va
r
io
u
s
τ
p
/τ
t
;
(
b
)
Valu
es o
f
Ou
tp
u
t P
o
w
er
an
d
C
o
g
g
i
n
g
Fo
r
ce
f
o
r
Var
io
u
s
τ
p
/τ
t
.
Fig
u
r
e
1
0
(
b
)
also
s
h
o
w
s
th
at
th
e
co
n
f
i
g
u
r
atio
n
w
h
er
e
t
h
e
p
o
le
len
g
th
eq
u
als
2
.
7
5
cm
o
r
τ
p
/τ
t
=
0
.
5
5
r
esu
l
t
s
t
h
e
lar
g
est
f
it
n
e
s
s
f
u
n
ctio
n
.
T
h
en
d
i
f
f
er
en
t
v
al
u
es
o
f
tr
a
n
s
latio
n
s
p
ee
d
w
er
e
te
s
te
d
.
I
t
is
p
u
r
p
o
s
ed
to
ch
ec
k
it
s
in
f
l
u
en
ce
to
th
e
v
al
u
e
o
f
f
it
n
es
s
f
u
n
ctio
n
.
T
h
e
r
esu
lt
s
w
er
e
tab
u
lated
in
Fi
g
u
r
e
1
1
(
b
)
.
I
t
co
u
ld
b
e
s
ee
n
t
h
at
lar
g
er
th
e
v
al
u
e
o
f
t
h
e
tr
an
s
la
t
io
n
s
p
ee
d
,
th
e
v
al
u
e
o
f
th
e
f
it
n
es
s
f
u
n
c
tio
n
w
o
u
ld
in
cr
ea
s
e.
Ho
w
e
v
er
,
th
e
tr
en
d
o
f
th
e
f
it
n
es
s
f
u
n
c
t
io
n
v
al
u
es
ar
e
s
a
m
e
f
o
r
ev
er
y
v
al
u
e
o
f
s
p
ee
d
.
Fig
u
r
e
1
1
(
b
)
s
h
o
w
s
th
at
t
h
e
o
p
tim
u
m
o
u
tp
u
t
w
as o
b
tain
ed
w
h
e
n
τ
p
=2
.
7
5
cm
o
r
τ
p
/τ
t
=
0
.
5
5
,
f
o
r
all
v
alu
e
s
o
f
tr
an
s
latio
n
s
p
ee
d
.
Fu
r
t
h
er
test
s
w
e
r
e
t
h
e
n
co
n
d
u
cted
b
y
m
o
d
if
y
i
n
g
s
o
m
e
o
th
er
p
ar
am
eter
s
.
I
n
th
e
s
e
test
,
t
h
e
w
id
t
h
o
f
s
tato
r
to
o
th
’
s
s
alie
n
t
a
n
d
th
e
p
o
le
th
ick
n
es
s
w
e
r
e
m
o
d
i
f
ied
.
I
n
s
e
v
er
al
v
al
u
es
o
f
th
e
b
o
t
h
q
u
an
t
ities
,
all
v
al
u
es
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
C
E
I
SS
N:
2
0
8
8
-
8708
Op
timu
m
P
erma
n
en
t Ma
g
n
ets C
o
n
fig
u
r
a
tio
n
in
F
l
a
t
-
Qu
a
s
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LPMGs
(
F
r
a
n
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co
Da
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g
Wij
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ya
)
2598
o
f
τ
p
/τ
t
we
r
e
re
-
te
s
ted
.
T
h
e
r
esu
lt
s
w
er
e
th
e
n
tab
u
lated
an
d
co
m
p
ar
ed
.
T
h
ese
test
s
we
r
e
m
ea
n
t
to
c
h
ec
k
w
h
et
h
er
th
ese
t
w
o
p
ar
a
m
eter
s
af
f
ec
t
t
h
e
o
u
tp
u
t
v
al
u
es.
T
h
is
is
b
ec
au
s
e
th
e
s
e
t
w
o
d
i
m
en
s
i
o
n
in
th
is
test
w
er
e
d
ec
id
ed
m
an
u
all
y
.
(
a)
(
b
)
Fig
u
r
e
1
1
.
(
a)
Valu
es o
f
R
es
u
l
ted
E
lectr
ical
Fre
q
u
en
c
y
a
n
d
C
o
il I
m
p
ed
an
ce
f
o
r
Var
io
u
s
τ
p
/τ
t
;
(
b
)
Valu
e
s
o
f
Fit
n
e
s
s
F
u
n
c
tio
n
f
o
r
Var
io
u
s
τ
p
/τ
t
an
d
f
o
r
Sev
er
al
Val
u
es o
f
T
r
an
s
latio
n
Sp
ee
d
.
(
a
)
(
b
)
Fig
u
r
e
12.
(
a)
Ou
tp
u
t
Po
w
er
a
n
d
(
b
)
C
o
g
g
i
n
g
Fo
r
ce
Val
u
es
f
r
o
m
Var
io
u
s
Val
u
es o
f
τ
p
/τ
t
an
d
Dif
f
er
e
n
t Salie
n
t
W
id
th
.
(
a
)
(
b
)
Fig
u
r
e
13.
(
a)
Ou
tp
u
t p
o
w
er
an
d
(
b
)
co
g
g
in
g
f
o
r
ce
v
al
u
es
f
r
o
m
v
ar
io
u
s
τ
p
/τ
t
an
d
d
if
f
er
e
n
t
p
o
le
th
ick
n
ess
T
h
e
o
u
tp
u
t
p
o
w
er
a
n
d
co
g
g
in
g
f
o
r
ce
v
al
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es
f
r
o
m
s
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er
al
v
a
lu
es
o
f
s
a
lien
t
w
id
t
h
ar
e
s
h
o
wn
in
Fig
u
r
e
1
2
(
a)
an
d
1
2
(
b
)
.
Me
an
w
h
ile,
t
h
e
v
al
u
es
b
o
th
p
ar
a
m
eter
s
f
o
r
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er
al
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e
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o
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o
le
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ic
k
n
es
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ar
e
s
h
o
w
n
in
Fig
u
r
e
1
3
(
a)
an
d
1
3
(
b
)
.
Fro
m
th
o
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e
g
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ap
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p
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t
p
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tl
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p
r
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tio
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w
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t
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o
f
s
alien
t
a
n
d
p
o
le
t
h
ick
n
e
s
s
.
H
o
w
e
v
er
,
th
e
tr
en
d
o
f
th
e
o
u
t
p
u
t
p
o
w
er
is
s
a
m
e
f
o
r
all
v
alu
es
o
f
th
ick
n
es
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.