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1
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Mob
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por
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R
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4
046
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0
c
m
.
T
he pi
c
k
-
up c
oi
l
s
i
n t
h
e r
ec
ei
v
er
s
i
de
w
i
l
l
i
nduc
e
t
he p
o
w
er
f
r
om
t
he r
ad
i
at
ed
m
agnet
i
c
f
i
el
d
and
po
w
er
t
he c
o
nnec
t
ed
l
oad
w
hi
c
h c
a
n b
e a m
obi
l
e
or
anot
her
p
or
t
ab
l
e
de
v
i
c
e.
T
he
ef
f
i
c
i
enc
y
of
t
he
W
P
T
s
y
s
t
em
c
an
be
def
i
ne
d
as
t
he
r
at
i
o
of
t
he
r
ec
ei
v
ed
p
o
w
er
i
n
t
he
l
oa
d
r
es
i
s
t
anc
e
t
o
t
he
del
i
v
er
ed
po
w
er
f
r
om
t
he
e
l
ec
t
r
i
c
p
o
w
er
s
o
ur
c
e.
T
o
s
t
ar
t
w
i
t
h,
i
t
has
been s
t
at
ed t
h
at
i
nc
r
eas
i
n
g t
he num
ber
of
t
ur
ns
at
r
ec
ei
v
er
c
oi
l
r
es
u
l
t
s
i
n an i
nc
r
eas
e i
n t
he
at
t
a
i
na
bl
e ef
f
i
c
i
enc
y
[]
.
W
hen t
he n
um
ber
of
t
ur
ns
i
s
i
nc
r
eas
e
d,
t
h
e r
es
i
s
t
an
c
e of
t
he c
oi
l
i
nc
r
eas
es
l
i
near
l
y
a
nd t
h
e i
nduc
t
a
nc
e of
t
he c
oi
l
i
nc
r
ea
s
es
i
n a s
quar
ed f
as
hi
o
n w
i
t
h t
he num
ber
of
t
ur
ns
.
T
hus
,
i
nc
r
eas
i
ng
t
he num
ber
of
t
ur
ns
r
es
ul
t
s
i
n a
m
or
e i
nc
r
eas
e
i
n t
he
i
n
duc
t
anc
e t
ha
n
t
he i
nc
r
eas
e
i
n t
he r
es
i
s
t
a
nc
e
w
h
i
c
h
i
m
pr
ov
es
t
h
e s
y
s
t
em
per
f
or
m
anc
e
due
t
o
t
he i
nc
r
eas
e i
n
t
he q
ua
l
i
t
y
f
ac
t
or
of
t
he c
o
i
l
.
R
egar
d
i
n
g
t
he
r
a
di
us
of
t
h
e
c
oi
l
,
t
he
i
nd
uc
ed
e
l
ec
t
r
o
m
ot
i
v
e
f
or
c
e
i
n
t
he
r
ec
e
i
v
e
r
c
oi
l
i
s
c
aus
ed b
y
t
h
e uni
f
or
m
m
agnet
i
c
f
i
el
d of
t
i
m
e
-
v
ar
i
at
i
on
f
r
om
t
r
ans
m
i
t
t
er
.
T
he m
or
e c
ov
er
ag
e
ar
ea
of
t
he r
ec
e
i
v
er
t
h
e m
or
e i
n
duc
ed
el
ec
t
r
om
ot
i
v
e f
or
c
e i
t
w
i
l
l
get
l
ead
i
n
g t
o
i
nc
r
eas
i
ng
i
n
ef
f
i
c
i
enc
y
and l
oad p
o
w
er
.
T
he r
ec
ei
v
er
c
oi
l
i
s
c
hos
en i
n s
uc
h a w
a
y
t
h
at
i
t
c
an c
on
v
e
ni
ent
l
y
f
i
t
i
nt
o m
obi
l
e
dev
i
c
es
.
A
v
al
ue u
p t
o
2 c
m
f
or
t
he out
er
r
ad
i
us
h
as
be
en c
hos
e
n f
or
t
he r
ec
e
i
v
er
c
oi
l
.
T
he f
r
equenc
y
has
an o
b
v
i
ous
ef
f
ec
t
on t
he
W
P
T
s
y
s
t
em
f
or
t
he ef
f
i
c
i
enc
y
i
n t
he
r
ec
ei
v
er
an
t
en
na.
O
n o
ne
h
and,
w
he
n h
i
g
her
i
ni
t
i
a
l
i
nd
uc
ed e
l
ec
t
r
om
ot
i
v
e f
or
c
e,
t
he pr
i
m
ar
y
c
o
i
l
c
an
get
h
i
g
her
s
y
s
t
em
f
r
eq
uenc
y
.
O
n
t
he
ot
h
er
han
d,
t
he
pr
i
m
ar
y
c
oi
l
w
i
t
h
h
i
gh
q
ual
i
t
y
an
d
t
he
s
ec
ondar
y
c
o
i
l
ar
e c
oup
l
e
d and t
he e
qu
i
v
al
e
nt
i
m
pedanc
e s
e
en b
y
pr
i
m
ar
y
c
oi
l
i
s
d
i
r
ec
t
l
y
pr
opor
t
i
on
al
t
o t
h
e f
r
eque
n
c
y
of
t
he s
y
s
t
em
.
3.
D
e
s
i
g
n
o
f M
u
l
ti
p
l
e
C
o
i
l
M
o
d
e
l
T
he t
r
ans
m
i
t
t
er
c
ons
i
s
t
s
of
m
ul
t
i
pl
e o
v
er
l
app
i
n
g
c
oi
l
s
,
w
hi
c
h ar
e ar
r
a
ng
ed i
nt
o
s
y
m
m
et
r
i
c
di
s
t
r
i
b
ut
i
on
i
n
t
h
e s
am
e ar
ea of
2D
s
p
ac
e.
T
her
e ar
e m
an
y
d
i
f
f
er
ent
s
t
r
uc
t
ur
es
of
t
he
t
r
ans
m
i
t
t
er
t
hat
c
an
be
us
e
d t
o
g
ener
at
e t
he
v
ar
i
o
us
s
or
t
s
and
v
ar
i
et
i
es
of
m
agn
e
t
i
c
f
i
el
d f
or
m
i
ng
i
nt
e
ns
i
t
y
di
s
t
r
i
but
i
on
.
I
t
i
s
al
s
o pos
s
i
b
l
e t
o us
e s
i
ngl
e c
oi
l
,
t
hr
e
e c
oi
l
s
,
f
our
c
oi
l
s
,
ni
ne c
oi
l
s
s
t
r
uc
t
ur
es
and s
o o
n f
or
t
he t
r
ans
m
i
t
t
er
.
F
i
g
ur
e 2
,
F
i
gur
e 3
an
d
F
i
gur
e 4
s
how
ex
am
pl
es
f
or
s
i
ngl
e c
oi
l
,
f
our
c
o
i
l
s
a
nd n
i
ne c
oi
l
s
s
t
r
uc
t
ur
es
of
t
he
t
r
ans
m
i
t
t
er
r
es
pec
t
i
v
el
y
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
2
3
0
2
-
4
046
T
E
L
KO
M
NI
K
A
V
ol
.
12
,
N
o
.
6,
J
un
e 2
014
:
41
66
–
4
177
4168
3.
1
.
S
i
n
g
l
e
C
o
i
l
S
tr
u
c
tu
r
e
F
i
gur
e
2
s
ho
w
s
a
s
i
ngl
e
c
i
r
c
ul
ar
c
oi
l
t
r
ans
m
i
t
t
er
s
t
r
uc
t
ur
e
and
t
he
c
a
l
c
ul
at
i
on
m
odel
f
or
t
he
m
agnet
i
c
i
n
duc
t
i
on
i
n
a
n
y
p
l
ac
e
of
t
he
s
pac
e.
E
qu
at
i
o
n
(
1)
pr
es
ent
s
t
he
m
agnet
i
c
i
nduc
t
i
on
i
n
an
y
p
oi
nt
i
n
t
he
s
pac
e
f
or
t
he
c
i
r
c
ul
ar
c
o
i
l
.
T
he
s
p
ac
e
c
oor
di
nat
e
of
poi
nt
P
i
s
ex
pr
es
s
ed
as
(
r
,
θ,
φ
)
.
W
her
eµ
0i
s
t
he
v
ac
uum
per
m
eabi
l
i
t
y
,
t
he
I
ni
t
i
al
e
l
ec
t
r
i
c
c
ur
r
e
nt
of
t
he
c
oi
l
i
s
I
and
t
h
e
r
adi
us
of
t
he
c
i
r
c
ul
ar
c
oi
l
i
s
α
.
ρ
i
s
t
he
d
i
s
t
anc
e
b
et
w
e
en
t
he
c
ent
er
of
t
he
c
i
r
c
l
e an
d t
he pr
oj
ec
t
i
v
e
poi
nt
of
P
.
K
(
k
)
i
n (
2)
an
d E
(
k
)
i
n (
3)
ar
e t
he
f
i
r
s
t
and t
he s
ec
on
d k
i
nd of
c
om
pl
et
e el
l
i
pt
i
c
i
nt
e
gr
al
.
T
he par
am
et
er
k
i
s
t
he c
o
ef
f
i
c
i
ent
t
o c
a
l
c
ul
at
e
K
(
k
)
and E
(
k
)
.
2
22
0
22
22
1
[]
2
(
)
()
z
I
az
B
KE
az
az
µ
ρ
πρ
ρ
−
−
=
⋅
⋅+
−
+
++
(
1)
/2
2
2
0
()
1
si
n
d
Kk
k
π
φ
φ
=
−
∫
(
2
)
/2
2
2
0
(
)
1
si
n
Ek
k
d
π
φφ
=
−
∫
(
3)
(
)
(
)
22
4
si
n
2
si
n
ar
k
r
a
ar
θ
θ
⋅
⋅
⋅
=
+
+
⋅
⋅
⋅
(
4)
z
y
x
P
(
r
,
θ
,
φ
)
θ
φ
α
ρ
r
O
x
y
A
Coil
1
Coil
2
Coil
3
Coil
4
r
d
F
i
gur
e
2
.
S
in
g
l
e
C
o
il
T
r
ans
m
i
t
t
er
S
t
r
uc
t
ur
e
F
i
gur
e
3
.
F
o
ur
C
o
i
l
s
T
r
ans
m
i
t
t
er
S
t
r
uc
t
ur
e
3.
2
F
o
u
r
C
o
i
l
s
S
tr
u
c
tu
r
e
A
s
s
um
e
t
hat
t
he
t
r
ans
m
i
t
t
er
c
an
s
ens
e
w
h
er
e
t
he
m
obi
l
e
de
v
i
c
e
i
s
and
t
h
e
s
y
s
t
em
c
an
c
hoos
e
w
hi
c
h
f
our
c
oi
l
s
s
houl
d
be
s
upp
l
y
t
h
e
po
w
er
.
r
i
s
t
he
r
adi
us
of
eac
h
s
m
a
l
l
c
oi
l
and
d
is
t
he m
ax
i
m
al
di
ag
ona
l
l
i
ne
di
s
t
anc
e
of
op
pos
i
t
e c
o
i
l
s
.
T
he m
agnet
i
c
c
ond
uc
t
i
on
of
poi
nt
A
is
c
al
c
ul
a
t
ed
as
f
ol
l
o
w
s
,
t
he c
ent
er
c
oor
d
i
n
at
es
of
t
he f
our
c
oi
l
s
ar
e (
x
1
,
y
1
)
, (
x
2
,
y
2
)
, (
x
3
,
y
3
)
,
and
(
x
4
,
y
4
)
r
es
pec
t
i
v
e
l
y
.
T
he c
oor
di
n
at
e
of
poi
nt
A
i
n
t
he s
pac
e
i
s
(
x
A
,
y
A
,
z
A
)
.
T
he m
agnet
i
c
c
onduc
t
i
on
c
aus
ed
b
y
c
o
i
l
one
i
s
s
h
o
w
n
i
n
(
1)
.
T
her
ef
or
e,
t
he
m
agnet
i
c
c
on
duc
t
i
on
of
eac
h
c
o
i
l
i
n f
our
c
oi
l
s
s
t
r
uc
t
ur
e
c
an
be
deduc
ed b
y
ana
l
o
g
y
i
n (
5
)
.
A
nd
n
r
epr
es
e
nt
s
t
he s
eq
uenc
e n
um
ber
of
t
he c
oi
l
s
.
0
z
2
2
22
AA
A
2
2
22
A
AA
2
2
22
AA
A
1
2
((
)
(
)
)
((
)
(
)
)
[]
((
)
(
)
)
n
nn
nn
nn
I
B
xx
y
y
r
z
r
xx
y
y
z
KE
xx
y
y
r
z
µ
π
=
⋅⋅
−
+
−
++
−
−
+
−
−
+
−
+
−
−
+
(
5)
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KO
M
NI
K
A
I
S
S
N
:
2
302
-
4
046
D
es
i
gn
an
d S
i
m
ul
at
i
on o
f
Mul
t
i
pl
e C
o
i
l
M
o
de
l
f
or
W
i
r
el
e
s
s
P
ow
er
T
r
ans
m
is
s
io
n
…
(
D
uan Z
hao
)
4169
K
and
E
c
al
c
u
l
at
i
o
n m
et
hod c
an be f
ound i
n (
2)
an
d (
3)
.
E
quat
i
on (
6)
s
ho
w
s
t
he
k
n
c
al
c
ul
a
t
i
o
n m
et
hod f
or
c
oi
l
1
,
c
oi
l
2,
c
o
i
l
3 an
d c
oi
l
4 s
epa
r
at
el
y
.
22
2
22
2
4(
)
(
)
(
(
)
(
))
nn
n
nn
r
xx
y
y
k
r
xx
y
y
z
−
+
−
=
+
−
+
−
+
(
6)
T
hen
t
he
t
ot
al
m
agnet
i
c
i
n
duc
t
i
o
n
of
p
oi
nt
A
g
ener
at
ed
b
y
t
he
t
r
ans
m
i
t
t
er
i
s
c
a
l
c
ul
at
e
d
b
y
v
ec
t
or
ad
di
t
i
on
b
y
e
ac
h
c
oi
l
w
hi
c
h
i
s
s
ho
w
n
i
n
(
7)
.
T
her
ef
or
e,
t
he
i
nt
er
s
ec
t
i
ng
par
t
ar
e
a
h
as
t
he
m
ax
i
m
al
po
w
er
t
r
a
ns
f
er
bec
aus
e
t
he
di
r
ec
t
i
o
n
of
t
he
m
agnet
i
c
i
n
duc
t
i
on
of
eac
h
c
oi
l
i
s
t
he
s
am
e
.
z
z
1
z
2
z
3
z
4
BB
B
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(
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T
he c
oor
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es
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(
x
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y
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x
2
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c
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y
d
an
d
r
,
w
h
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s
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ho
w
n
i
n
E
q
uat
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on
(
8)
.
11
22
33
44
22
,
22
22
22
,
22
22
22
,
22
22
22
,
22
22
dr
dr
xy
dr
dr
xy
dr
dr
xy
dr
dr
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−⋅
−⋅
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ubs
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i
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(
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i
nt
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s
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i
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c
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f
i
nd
t
he
m
ax
i
m
al
m
agnet
i
c
i
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t
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v
al
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al
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v
a
l
ue
c
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e s
h
o
w
n i
n
E
q
uat
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o
n (
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.
(
)
z
1
z
2
z
3
z4
ma
x
z
BB
B
B
B
B
dd
∂
+
++
∂
=
=
∂∂
(
9)
3.
2
N
i
n
e
C
o
i
l
s
S
tr
u
c
tu
r
e
F
i
gur
e 4
s
h
o
w
s
t
he n
i
ne c
o
i
l
s
t
r
ans
m
i
t
t
er
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t
r
uc
t
ur
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et
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agnet
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c
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ond
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on
of
t
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ni
n
e c
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m
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t
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ur
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s
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as
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he f
our
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s
t
r
ans
m
i
t
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er
s
t
r
uc
t
ur
e.
x
y
F
i
gur
e
4
.
N
in
e
C
o
ils
T
r
a
n
s
m
it
t
e
r
S
t
r
uc
t
ur
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
2
3
0
2
-
4
046
T
E
L
KO
M
NI
K
A
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12
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6,
J
un
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014
:
41
66
–
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177
4170
C
om
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n
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t
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i
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,
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h
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l
l
o
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s
t
he
m
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l
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de
v
i
c
es
t
o
be
p
l
ac
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d
i
n
f
r
ee
p
os
i
t
i
on
i
n
t
he
def
i
n
ed
s
pat
i
a
l
ex
t
ent
.
T
he c
en
t
er
of
t
he m
obi
l
e
de
v
i
c
es
c
an
m
ov
e i
n t
he r
ec
t
a
ng
l
e r
a
nge
of
600m
m
×
60
0m
m
i
n t
he hor
i
z
ont
al
l
ev
e
l
an
d
w
i
t
h s
om
e di
s
t
anc
e a
w
a
y
f
r
o
m
t
he t
r
ans
m
i
t
t
er
i
n
t
he
v
er
t
i
c
a
l
di
r
ec
t
i
on
up t
o 20
cm
.
H
o
w
e
v
er
,
t
h
er
e
i
s
o
nl
y
a
s
i
ngl
e
c
oi
l
i
n
t
he
t
r
ad
i
t
i
on
al
t
r
ans
m
i
t
t
er
;
t
he
r
ec
ei
v
er
s
ho
ul
d
b
e
pl
ac
e
d i
n t
he po
i
nt
w
her
e b
ot
h c
ent
er
s
of
t
he r
ec
ei
v
er
and t
h
e t
r
ans
m
i
t
t
er
s
houl
d
be i
n t
he s
am
e
ax
es
.
I
f
t
he r
ec
ei
v
er
m
ov
e
d
di
s
c
r
et
i
o
nar
i
l
y
,
t
h
e ef
f
i
c
i
en
c
y
dec
r
eas
e
d
v
er
y
qu
i
c
k
l
y
.
4.
A
n
al
ysi
s
o
f
t
h
e P
o
w
er
T
r
an
sf
er
S
yst
em
S
p
ir
a
l
c
o
ils
p
r
o
v
id
e
lo
w
s
e
l
f
-
i
nduc
t
anc
e
and
c
o
ns
t
r
ai
n
t
he
m
ax
i
m
u
m
ac
hi
ev
ab
l
e
qua
l
i
t
y
f
ac
t
or
.
Mul
t
i
-
l
a
y
er
h
el
i
c
al
c
oi
l
i
s
us
ed a
nd
i
t
c
an pr
o
v
i
de h
i
gh
qua
l
i
t
y
f
ac
t
or
,
w
hi
c
h h
as
t
he
adv
ant
ages
of
pos
i
t
i
v
e
ef
f
e
c
t
on
t
he
ar
ea
ef
f
i
c
i
enc
y
,
e
as
i
l
y
bu
i
l
d
up
an
d
eas
y
an
al
y
s
i
s
.
T
he
A
C
r
es
i
s
t
anc
e,
s
el
f
-
i
nd
uc
t
anc
e
and s
t
r
a
y
c
ap
ac
i
t
a
nc
e of
t
hes
e c
oi
l
s
h
av
e be
en s
t
u
di
e
d v
er
y
w
e
l
l
,
w
hi
c
h m
a
k
es
i
t
eas
y
t
o
m
a
k
e
a t
hor
ough a
nal
y
s
i
s
of
t
hei
r
ef
f
i
c
i
enc
y
.
F
i
g
u
re
5
s
ho
w
s
t
he
t
ec
hni
c
a
l
dr
a
w
i
ng of
s
uc
h a
c
oi
l
.
h
r
o
r
i
F
i
gur
e
5
.
M
u
lt
i
-
la
y
e
r
H
e
l
i
c
a
l C
o
il
T
he out
er
r
ad
i
us
r
o
,
t
h
e i
nn
er
r
adi
us
r
i
and t
he t
hi
c
k
nes
s
of
t
he c
oi
l
h
ar
e t
he p
ar
a
m
et
er
s
t
o
be
opt
i
m
i
z
ed.
T
he
t
hi
c
k
nes
s
of
t
he
c
oi
l
det
er
m
i
nes
t
he
num
ber
of
t
ur
ns
per
l
a
y
er
N
t
w
h
er
eas
t
he
di
f
f
er
enc
e bet
w
ee
n t
h
e i
nner
and
t
h
e o
ut
er
d
i
a
m
et
er
det
er
m
i
nes
t
he n
u
m
ber
of
c
oax
i
al
l
a
ye
r
s
N
h
.
4.
1
.
Co
m
p
a
r
i
s
o
n
b
e
tw
e
e
n
th
e
M
a
g
n
e
ti
c
C
o
u
p
l
i
n
g
w
i
th
R
e
s
o
n
a
n
c
e
a
n
d
w
i
th
o
u
t R
e
s
o
n
a
n
c
e
F
i
gur
e 6
s
ho
w
s
t
h
e s
i
m
pl
e
w
i
r
el
es
s
po
w
er
t
r
a
ns
f
er
s
y
s
t
em
m
odel
w
hi
c
h
i
nc
l
ud
es
t
he
t
r
ans
m
i
t
t
er
and t
h
e r
ec
e
i
v
er
.
AC
R
t
C
t
L
t
L
r
R
r
C
r
R
L
M
U
s
I
t
I
r
·
·
·
F
i
gur
e
6
.
S
im
p
le
W
i
r
el
es
s
P
o
w
er
T
r
ans
f
er
S
y
s
t
em
Mo
del
I
t
i
s
eas
y
t
o
g
et
t
he
ef
f
i
c
i
enc
y
f
or
m
ul
a of
s
i
m
pl
e
W
P
T
s
y
s
t
em
ac
c
or
di
n
g t
o
F
i
gur
e 6
w
hi
c
h i
s
g
i
v
en i
n (
10)
.
T
he
angu
l
ar
f
r
equenc
y
of
s
y
s
t
e
m
is
ω
.
Z
t
a
nd
Z
r
ar
e t
h
e i
m
peda
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e of
t
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t
r
ans
m
i
t
t
er
and t
h
e r
ec
e
i
v
er
r
es
pec
t
i
v
e
l
y
.
2
L
2
r
t
r
()
[
(
)]
MR
Z
ZZ
M
ω
η
ω
=
+
(
10)
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KO
M
NI
K
A
I
S
S
N
:
2
302
-
4
046
D
es
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i
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ul
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t
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pl
e C
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uan Z
hao
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4171
tt
t
t
1
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Rj
L
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r
rL
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r
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j
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12)
T
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s
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bot
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t
h
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t
r
ans
m
i
t
t
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c
oi
l
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d
t
he
r
ec
ei
v
er
c
oi
l
.
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he
c
ur
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ent
i
s
f
l
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i
n
one
c
o
i
l
,
w
hi
c
h
gen
er
at
es
t
h
e
m
agnet
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c
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l
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as
a
m
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T
h
en
t
h
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i
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t
r
om
ot
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e f
or
c
e i
s
c
aus
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n t
h
e ot
her
c
oi
l
t
hr
o
u
gh t
he m
edi
um
.
B
ut
t
he e
ner
g
y
t
r
a
ns
f
e
r
di
s
t
anc
e
i
s
r
es
t
r
i
c
t
e
d i
n gr
a
de of
m
i
l
l
i
m
et
er
.
T
he t
r
ans
f
er
ef
f
i
c
i
enc
y
i
s
s
h
o
w
n
i
n
E
q
uat
i
on (
1
3)
.
2
L
1
rL
r
r
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t
t
rt
()
1
(
(
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11
[(
(
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(
))
(
)
]
MR
R
R
jL
C
R
R
jL
R
jL
M
CC
ω
η
ω
ω
ω
ω
ω
ωω
=
++
−
⋅
++
−
+
−
+
(
13)
E
qu
at
i
on (
1
4)
s
ho
w
s
t
h
e r
e
s
onanc
e
onl
y
i
n t
he t
r
ans
m
i
t
t
er
2
L
2
rL
r
r
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tr
L
r
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()
1
(
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1
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−
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(
14)
E
qu
at
i
on (
15
)
s
ho
w
s
t
h
e r
e
s
onanc
e
onl
y
i
n t
he r
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e
i
v
e
r
.
2
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3
2
rL
t
t
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t
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1
(
)[(
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)
(
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]
MR
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j
L
RR
M
C
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(
15)
E
qu
at
i
on (
16
)
s
ho
w
s
t
h
e r
e
s
onanc
ef
or
bot
h t
h
e t
r
ans
m
i
t
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er
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nd t
he r
ec
e
i
v
er
.
2
L
4
22
t
rL
rL
()
()
(
)
()
MR
R
R
R
M
R
R
ω
η
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=
++
+
(
16)
C
om
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i
ng (
13)
,
(
1
4)
,
(
15
)
and (
1
6)
,
i
t
c
a
n b
e obs
er
v
ed
t
ha
t
η
4
>
η
3
>
η
2
>
η
1
be
c
aus
e
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i
v
al
e
nt
i
m
pedanc
e
i
s
m
i
ni
m
u
m
and t
h
e c
ur
r
en
t
i
n t
h
e c
i
r
c
u
i
t
i
s
m
ax
i
m
al
.
S
o t
h
e m
agnet
i
c
r
es
onant
c
o
up
l
i
ng t
ec
hno
l
o
g
y
i
s
be
nef
i
c
i
a
l
t
o
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P
T
s
y
s
t
em
i
n t
he m
i
ddl
e
r
ang
e t
r
a
n
s
f
er
.
4.
2
.
C
i
r
cu
i
t
D
i
ag
r
am
T
he
t
r
ans
f
er
s
y
s
t
em
i
s
c
ons
t
i
t
ut
e
d
b
y
s
e
v
er
al
t
r
a
ns
m
i
t
t
er
c
oi
l
s
an
d
a
r
ec
ei
v
er
c
oi
l
,
w
h
i
c
h
hav
e
t
he
s
am
e
f
r
equenc
y
b
y
adj
us
t
i
ng
t
he
i
nt
er
r
el
a
t
e
d
par
am
et
er
s
.
T
he
r
es
ona
nc
e
c
oi
l
s
ar
e
i
n
t
he
s
t
at
e
of
s
el
f
-
r
es
onant
t
o
ac
hi
e
v
e
t
he
e
ner
g
y
c
o
up
l
i
ng.
Mag
net
i
c
c
oupl
i
n
g
c
i
r
c
ui
t
i
s
us
e
d
on
l
y
i
n
t
h
e
r
ec
e
i
v
er
ant
enn
a.
L
t
,
L
rp
an
d
L
rs
ar
e
t
h
e
i
nduc
t
an
c
e
of
t
he
t
r
ans
m
i
t
t
er
,
t
he
pr
i
m
ar
y
c
oi
l
a
nd
t
he s
ec
on
dar
y
c
o
i
l
of
t
he r
e
c
ei
v
er
r
es
pec
t
i
v
e
l
y
.
C
t
,
C
rp
and
C
rs
ar
e t
h
e c
om
pens
at
i
on c
apac
i
t
or
of
t
he t
r
a
ns
m
i
t
t
er
,
t
he
pr
i
m
ar
y
c
oi
l
an
d t
he s
ec
o
ndar
y
c
o
i
l
of
t
he r
ec
e
i
v
er
w
hi
c
h
s
hou
l
d be
adj
us
t
e
d
f
or
appr
opr
i
at
e v
a
l
u
e t
o
m
a
k
e t
he s
y
s
t
em
(
t
r
ans
m
i
t
t
er
and r
ec
e
i
v
er
)
w
or
k
i
n t
he r
es
onanc
e
f
r
equenc
y
as
s
ho
w
n
i
n
E
q
uat
i
on (
1
7)
.
R
t
an
d
R
rp
a
nd
R
rs
r
epr
es
e
nt
t
he
i
nt
er
na
l
r
es
i
s
t
anc
es
of
t
he
t
r
ans
m
i
t
t
er
and
t
he
r
ec
ei
v
er
c
oi
l
s
r
es
pec
t
i
v
e
l
y
.
R
L
i
s
t
he
l
oa
d
r
es
i
s
t
anc
e
of
t
he
r
ec
ei
v
er
c
oi
l
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
2
3
0
2
-
4
046
T
E
L
KO
M
NI
K
A
V
ol
.
12
,
N
o
.
6,
J
un
e 2
014
:
41
66
–
4
177
4172
M
t
1
_2
,
M
t
2_
2
,
M
t
3_
2
,
M
t
4_
2
ar
e
t
he m
ut
ual
i
n
duc
t
a
nc
ebet
w
een
eac
h t
r
a
ns
m
i
t
t
er
c
oi
l
a
nd t
h
e r
ec
e
i
v
er
r
es
pec
t
i
v
el
y
.
M
2
_3
i
s
t
he
m
ut
ua
l
i
nduc
t
anc
e
bet
w
een
t
he
pr
i
m
ar
y
c
oi
l
a
nd
t
he
s
e
c
ondar
y
c
oi
l
i
n
t
he r
ec
e
i
v
er
.
U
s
i
s
t
he
al
t
er
n
at
i
n
g c
ur
r
ent
po
w
er
s
upp
l
y
w
i
t
h f
r
equ
enc
y
ω
0
f
or
t
he
t
r
ans
m
i
t
t
er
.
0
t
t
rp
rp
rs
rs
11
1
LC
L
C
L
C
ω
=
=
=
(
17)
R
t
R
L
I
t
I
rp
·
·
AC
U
s
R
rp
R
rs
R
t
I
t
·
AC
U
s
R
t
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t
·
AC
U
s
R
t
I
t
·
AC
U
s
I
rs
·
M
t
1
_
2
M
t
2
_
2
M
t
3
_
2
M
t
4
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2
M
23
L
t
L
t
2
L
t
L
t
C
t
C
t
C
t
C
t
L
rp
L
rs
C
rp
C
rs
·
·
·
·
F
i
g
ur
e
7
.
W
i
r
el
es
s
P
o
w
er
T
r
ans
f
er
S
y
s
t
em
Mode
l
f
or
F
our
C
o
i
l
s
S
t
r
uc
t
ur
e
F
i
gur
e
7
s
h
o
w
s
t
h
e c
i
r
c
ui
t
di
agr
am
f
or
t
he
W
P
T
s
y
s
t
em
w
i
t
h f
our
c
o
i
l
s
t
r
a
n
s
m
i
t
t
er
s
t
r
uc
t
ur
e.
A
s
s
um
e t
hat
t
he
r
es
i
s
t
anc
e,
t
he i
nduc
t
anc
e
and t
he c
ap
ac
i
t
a
nc
e v
al
ues
ar
e t
he s
am
e
in
a
ll
f
o
u
r
c
o
ils
.
A
s
in
[]
,
t
h
e
f
our
c
oi
l
s
s
t
r
uc
t
ur
e
c
a
n
a
c
hi
e
v
e
h
i
g
her
ef
f
i
c
i
enc
y
t
ha
n
t
he
t
w
o
c
o
i
l
s
s
t
r
uc
t
ur
e due t
o t
h
e hi
gh
qua
l
i
t
y
f
ac
t
or
of
t
he pr
i
m
a
r
y
a
nd t
h
e s
ec
ond
ar
y
c
oi
l
.
S
i
nc
e
i
nt
er
na
l
r
es
i
s
t
anc
e of
t
he s
our
c
e i
s
not
c
ons
i
de
r
ed i
n t
hi
s
W
P
T
m
odel
,
t
her
e i
s
no
c
oupl
i
ng
i
n t
he
t
r
ans
m
i
t
t
er
.
4.
3
.
W
P
T
E
f
f
i
ci
en
c
y
A
n
al
ysi
s
T
he
c
i
r
c
ui
t
m
odel
pr
ov
i
des
an
ana
l
y
s
i
s
r
ef
er
enc
e
f
or
t
he
W
P
T
s
y
s
t
em
c
har
ac
t
er
i
s
t
i
c
s
of
a
m
agnet
i
c
a
l
l
y
c
oup
l
i
ng
r
e
s
onat
or
s
y
s
t
em
.
T
he
m
ut
u
al
i
n
duc
t
anc
e
b
et
w
e
en
t
he
t
r
ans
m
i
t
t
er
and
t
he s
ec
on
dar
y
c
o
i
l
of
t
he r
ec
ei
v
er
ar
e
neg
l
ec
t
e
d i
n t
h
e f
ol
l
o
w
i
n
g an
al
y
s
i
s
.
T
hen
t
he c
ur
r
ent
i
n
eac
h r
es
on
ant
c
i
r
c
ui
t
i
s
det
er
m
i
ned f
r
o
m
(
18)
t
o (
23)
b
y
us
i
ng
K
i
r
c
hh
of
f
’
s
v
ol
t
a
ge
l
a
w
.
t
1
t
t
r
p
t
1_2
s
t
1
I
R
j
L
I
jM
U
jC
ωω
ω
++
−
=
(
18)
t
2
t
t
r
p
t
2_2
s
t
1
I
R
j
L
I
jM
U
jC
ωω
ω
++
−
=
(
19)
t
3
t
t
r
p
t
3_2
s
t
1
I
R
j
L
I
jM
U
jC
ωω
ω
++
−
=
(
20)
t
4
t
t
r
p
t
4_2
s
t
1
I
R
j
L
I
jM
U
jC
ωω
ω
++
−
=
(
21)
r
p
r
p
r
p
t
1
t
1_2
t
2
t
2_2
rp
t
3
t
3_2
4
t
4_2
r
s
2_3
1
0
t
I
R
j
L
I
jM
I
jM
jC
I
jM
I
jM
I
jM
ω
ωω
ω
ω
ω
ω
+
+
−
−
−
−
−
=
(
22)
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KO
M
NI
K
A
I
S
S
N
:
2
302
-
4
046
D
es
i
gn
an
d S
i
m
ul
at
i
on o
f
Mul
t
i
pl
e C
o
i
l
M
o
de
l
f
or
W
i
r
el
e
s
s
P
ow
er
T
r
ans
m
is
s
io
n
…
(
D
uan Z
hao
)
4173
rs
rs
rs
L
rp
2
_
3
rs
1
0
I
R
j
L
R
I
jM
jC
ωω
ω
+
+
+−
=
(
23)
T
he ef
f
i
c
i
enc
y
of
W
P
T
s
y
s
t
em
m
odel
i
s
c
al
c
u
l
at
e
d i
n E
quat
i
on (
2
4)
.
I
t
i
s
ob
v
i
ous
t
hat
t
h
e
ef
f
i
c
i
enc
y
i
s
r
el
at
e
d
t
o
t
he
m
ut
ual
i
nd
uc
t
anc
e
bet
w
ee
n
t
he
pr
i
m
ar
y
c
o
i
l
an
d
t
h
e
s
ec
ondar
y
c
oi
l
,
t
he s
ec
ond
ar
y
c
oi
l
and t
h
e
l
oad c
oi
l
.
R
t
,
R
r
p,
R
r
s
,
R
L
and
s
y
s
t
em
angul
ar
f
r
equenc
y
ω
a
l
s
o
hav
e
an
i
m
por
t
ef
f
ec
t
on
t
he
ef
f
i
c
i
enc
y
.
T
he
v
al
u
es
of
Mt
1_2,
Mt
2_
2,
Mt
3
_2,
Mt
4_2
an
d
M2_
3
gi
v
e t
he
i
nd
ex
of
s
t
r
engt
h
of
c
oupl
i
ng
bet
w
ee
n t
h
e
pr
i
m
ar
y
c
o
i
l
and
t
he
s
ec
o
ndar
y
c
oi
l
,
t
he
s
ec
ondar
y
c
o
i
l
an
d t
he
l
o
a
d c
oi
l
,
w
h
i
c
h h
av
e
an
i
m
por
t
ant
ef
f
ec
t
on t
h
e
ef
f
i
c
i
enc
y
of
t
he
s
y
s
t
em
.
T
he
m
ut
ual
i
n
duc
t
anc
e
i
s
i
n
a
r
e
l
at
i
o
ns
hi
p
w
i
t
h
t
he
s
hape
of
t
he
c
oi
l
,
t
he
num
ber
of
t
ur
ns
a
nd
t
he r
e
l
at
i
v
e pos
i
t
i
on of
t
he
t
w
o c
oi
l
s
[]
.
T
he
t
r
ans
m
i
t
t
er
s
t
r
uc
t
ur
e i
n
t
h
i
s
pap
er
has
a
pos
i
t
i
v
e ef
f
ec
t
on t
h
e s
t
r
eng
t
h of
c
oup
l
i
ng
bet
w
een
t
he t
r
ans
m
i
t
t
er
and t
h
e r
ec
ei
v
er
.
A
c
c
or
di
ng
t
o t
h
eor
et
i
c
a
l
ana
l
y
s
i
s
,
ef
f
i
c
i
enc
y
i
s
i
n pr
opor
t
i
on t
o t
h
e oper
a
t
i
o
n a
ngu
l
ar
f
r
equenc
y
,
t
h
e m
ut
ual
i
n
duc
t
a
nc
e
and t
he
l
oa
d
r
es
i
s
t
a
nc
e,
b
ut
i
n
an
i
n
v
er
s
e
r
a
t
i
o
t
o t
h
e
i
n
ner
r
es
i
s
t
a
nc
e
of
t
he
p
r
i
m
ar
y
c
oi
l
,
t
h
e
s
ec
ondar
y
c
oi
l
an
d
t
h
e
l
oa
d
c
oi
l
.
T
he
ef
f
i
c
i
enc
y
w
i
l
l
i
n
c
r
eas
e
s
quar
e
t
i
m
es
ov
er
t
he
i
nc
r
eas
e
of
angu
l
ar
f
r
equ
enc
y
.
W
hat
s
hou
l
d
be
pa
y
at
t
ent
i
o
n t
o
i
s
t
hat
t
he
l
oad
r
es
i
s
t
anc
e
s
h
oul
d m
at
c
h t
he
i
nn
er
r
es
i
s
t
anc
e
w
e
l
l
i
n
or
d
er
t
o
get
t
he
m
ax
i
m
al
po
w
e
r
of
t
he
r
ec
ei
v
er
.
T
her
ef
or
e,
t
he
bes
t
w
a
y
t
o i
nc
r
eas
e t
h
e ef
f
i
c
i
enc
y
i
s
t
o r
ai
s
e t
he c
o
upl
i
n
g s
t
r
engt
h as
m
uc
h as
pos
s
i
bl
e bet
w
ee
n t
h
e
t
r
ans
m
i
t
t
er
and t
he r
ec
ei
v
er
.
S
o,
i
t
i
s
a
n ef
f
ec
t
i
v
e
w
a
y
t
o i
nc
r
eas
e t
he n
um
ber
of
t
ur
ns
of
t
he c
oi
l
and
i
t
s
r
a
di
us
t
o
i
nc
r
eas
e
t
he m
ut
ual
i
n
duc
t
a
nc
e,
b
ut
t
he n
um
ber
of
t
ur
ns
and
t
h
e
r
adi
us
s
hou
l
d
not
be
t
oo
l
ar
ge.
O
ne r
eas
on
i
s
t
h
at
t
he
des
i
gn
of
t
h
e c
oi
l
s
s
ho
ul
d
f
i
t
t
he
s
i
z
e
of
m
obi
l
es
an
d
p
or
t
ab
l
e
de
v
i
c
es
.
T
he ot
h
e
r
r
eas
on
i
s
t
h
e r
es
i
s
t
a
nc
e
of
t
he c
o
i
l
w
i
l
l
al
s
o
get
l
ar
ger
,
w
h
i
c
h
w
i
l
l
l
ea
d t
o
a
w
as
t
e of
ener
g
y
.
(
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{
(
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}
42
2
t
ot
2_3
L
t
2
22
t
rp
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3
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22
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t
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2_2
t
3_2
t
4_2
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=
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−
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++
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+
+
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(
24)
B
ec
aus
e t
h
e s
y
s
t
em
w
or
k
s
on t
he r
es
onant
f
r
eque
nc
y
,
t
he
n t
he
ef
f
i
c
i
enc
y
c
an be
m
odi
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i
ed as
E
q
uat
i
on (
25)
.
(
)
{
(
)
}
42
2
t
ot
2_3
L
t
2
22
t
r
p
R
L
R
L
t
ot
t
2_3
2
22
22
t
r
p
RL
RL
to
t
t
2
_
3
to
t
RL
R
L
rs
L
4
M
M
RR
RR
R
R
M
R
M
RR
R
R
M
R
M
M
R
R
RR
ω
η
ωω
ω
ωω
=
+
+⋅
+
+
−
=
+
(
25)
I
t
i
s
no
t
i
c
e
d t
h
at
i
f
t
he
r
ad
i
us
of
t
he c
o
i
l
i
s
i
nc
r
eas
ed
,
t
hen
t
he
di
s
t
anc
e
bet
w
e
en t
h
e
t
r
ans
m
i
t
t
er
and t
he r
ec
e
i
v
e
r
c
an be
l
ar
g
er
w
h
i
c
h g
uar
ant
e
es
t
he
hi
gh
ef
f
i
c
i
enc
y
.
B
ec
a
us
e t
h
e
r
adi
us
of
t
h
e c
oi
l
i
nc
r
eas
es
,
t
he
ef
f
i
c
i
enc
y
w
i
l
l
al
s
o
be r
ai
s
ed.
5.
P
ar
am
et
er
s an
d
S
im
u
la
t
io
n
B
y
t
es
t
i
ng
and
s
i
m
ul
at
i
n
g m
an
y
c
as
es
a
nd s
et
t
i
ngs
,
t
h
e pr
o
per
and
opt
i
m
i
z
e
d
par
am
et
er
s
f
or
t
he
W
P
T
s
y
s
t
em
ar
e s
how
n
i
n T
ab
l
e
1
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
2
3
0
2
-
4
046
T
E
L
KO
M
NI
K
A
V
ol
.
12
,
N
o
.
6,
J
un
e 2
014
:
41
66
–
4
177
4174
T
abl
e
1.
O
p
t
i
m
i
z
ed
C
o
i
l
P
ar
am
et
er
s
f
or
W
P
T
S
y
s
t
em
P
ar
a
m
et
er
V
al
ue
T
r
ans
m
i
t
t
er
Co
i
l
N
um
ber
o
f
Li
t
z
W
i
r
e
T
ur
ns
(
N
t)
200
N
um
ber
o
f
i
s
ol
a
t
ed w
i
r
es
f
or
a
l
i
t
z
w
i
r
e
60
R
adi
us
of
an i
s
ol
at
ed
w
i
r
e
0.
05 m
m
P
ri
m
a
ry
C
o
i
l
I
nner
R
adi
us
o
f
P
r
i
m
ar
y
C
oi
l
10 m
m
O
ut
er
R
adi
us
of
P
r
i
m
ar
y
C
oi
l
20
m
m
T
hi
c
k
nes
s
o
f
P
r
i
m
ar
y
C
oi
l
2 m
m
N
um
ber
o
f
T
ur
n
s
200
N
um
ber
o
f
i
s
ol
a
t
ed w
i
r
es
f
or
a
l
i
t
z
w
i
r
e
10
S
ec
ondar
y
Co
i
l
I
nner
R
adi
us
o
f
S
ec
ondar
y
C
oi
l
10 m
m
O
ut
er
R
adi
us
of
S
e
c
ondar
y
C
oi
l
20 m
m
T
hi
c
k
nes
s
o
f
S
ec
ondar
y
C
oi
l
1.
6 m
m
N
um
ber
o
f
T
ur
n
s
(
N
s
)
160
N
um
ber
o
f
i
s
ol
a
t
ed w
i
r
es
f
or
a
l
i
t
z
w
i
r
e
10
C
ir
c
u
it
Load R
es
i
s
t
anc
e
50 oh
m
5.
1
.
C
h
a
r
a
c
te
r
i
s
ti
c
s
o
f th
e
D
i
ffe
r
e
n
t T
r
a
n
s
m
i
tte
r
S
tr
u
c
tu
r
e
s
T
he s
i
m
ul
at
i
ons
s
t
ar
t
b
y
d
et
er
m
i
ni
ng t
he c
e
nt
er
p
oi
n
t
of
t
he d
i
f
f
er
ent
m
odel
s
on
X
-
Y
pl
a
ne,
t
ak
i
ng i
n
t
o ac
c
ount
t
he s
y
m
m
et
r
i
c
and t
he ar
r
an
gem
ent
m
ent
i
one
d bef
or
e.
N
ex
t
s
t
eps
ar
e
det
er
m
i
ni
ng t
he r
ad
i
us
of
t
he c
oi
l
s
,
det
er
m
i
ni
ng t
he n
u
m
ber
o
f
t
ur
ns
us
ed i
n
t
he t
r
ans
m
i
t
t
er
,
and
t
hen
t
he
i
n
i
t
i
al
c
ur
r
e
nt
i
n t
h
e t
r
ans
m
i
t
t
er
s
.
O
n
t
he
r
ec
e
i
v
er
s
i
de,
t
he
p
ar
am
et
er
s
of
t
he
r
ec
ei
v
er
c
oi
l
and
t
he
s
ec
o
ndar
y
c
oi
l
as
w
el
l
w
er
e def
i
n
ed,
s
uc
h as
t
h
e r
adi
us
of
t
he s
i
ngl
e
w
i
r
e,
t
h
e
i
nn
er
an
d t
h
e ou
t
er
r
ad
i
us
of
t
he c
oi
l
,
t
h
e
f
r
equenc
y
,
t
h
e num
ber
of
t
ur
ns
i
n
r
and
z
di
r
ec
t
i
o
ns
,
t
he t
hi
c
k
nes
s
and t
he nu
m
ber
of
t
ur
ns
.
A
l
s
o,
t
he
par
am
et
er
s
of
t
he
c
i
r
c
ui
t
w
er
e
def
i
n
ed.
T
he
r
ec
ei
v
er
i
s
as
s
um
ed
t
o
be
pl
ac
ed
f
r
om
-
300m
m
t
o 300
m
m
i
n bot
h
x
ax
i
s
a
nd
y
ax
i
s
.
T
he h
ei
ght
of
t
he r
ec
ei
v
er
al
s
o
nee
ds
t
o b
e d
ef
i
ned
bef
or
e
t
he
s
i
m
ul
at
i
on
s
t
ar
t
s
.
A
c
al
c
ul
at
i
on
of
t
he
i
nduc
t
anc
e
an
d
r
es
i
s
t
anc
e
of
t
h
e
pr
i
m
ar
y
an
d
s
ec
ondar
y
c
oi
l
i
s
do
ne
as
w
el
l
as
a c
a
l
c
ul
a
t
i
o
n of
m
a
gnet
i
c
s
t
r
engt
h i
n
t
he
r
ec
e
i
v
er
c
oi
l
ar
e
a.
T
hen a s
er
i
es
of
c
a
l
c
ul
a
t
i
o
n
s
on t
he
r
e
c
ei
v
er
s
i
de
ac
h
i
e
v
ed
t
o
d
et
er
m
i
ne t
h
e r
ec
e
i
v
ed
po
w
er
an
d
t
he ef
f
i
c
i
enc
y
.
I
n or
der
t
o
c
o
m
par
e t
he c
har
ac
t
er
i
s
t
i
c
s
of
di
f
f
er
ent
s
t
r
uc
t
ur
es
,
t
he s
i
m
ul
at
i
o
n
def
i
ne
s
t
h
e t
r
a
ns
m
i
t
t
er
ov
er
l
ap
a 6
00
m
m
×
600m
m
ar
ea.
W
hen a s
i
ng
l
e c
oi
l
s
t
r
uc
t
ur
e i
s
s
i
m
ul
at
ed,
t
he
r
a
di
us
of
t
he
s
i
ngl
e
c
o
i
l
i
s
3
00m
m
,
w
hi
l
e
w
hen
a
f
our
c
i
r
c
ul
ar
s
t
r
uc
t
ur
e
i
s
us
ed,
i
f
one
of
t
he c
oi
l
s
c
ent
er
i
s
(
1
00
m
m
,
100
m
m
)
,
t
he r
adi
us
of
t
he c
oi
l
i
s
200
mm
.
F
i
gur
e
8
.
C
om
par
i
s
on bet
w
een
S
i
ng
l
e C
oi
l
an
d
F
o
u
r C
o
i
l
s
S
t
ru
c
t
ur
e (
3
70
K
H
z
,
200m
m
H
ei
ght
)
F
i
gur
e
9
.
R
ec
ei
v
ed
P
o
w
er
E
f
f
i
c
i
enc
y
f
or
D
i
f
f
er
ent
Mul
t
i
p
l
e
C
oi
l
s
T
r
ans
m
i
t
t
er
S
t
r
uc
t
ur
es
T
hr
ough t
h
e r
es
u
l
t
s
f
i
gur
es
,
i
t
i
s
o
bv
i
o
us
l
y
c
an
be
f
oun
d t
h
at
,
t
he
ar
ea
t
h
at
c
an
r
e
c
ei
v
ed
ov
er
80%
ener
g
y
i
s
f
r
om
-
0.
1
8
m
t
o
0.
18m
f
or
t
he
m
ul
t
i
-
c
oi
l
s
t
r
uc
t
ur
e,
w
h
i
l
e
v
al
ue
f
or
t
he
s
i
ng
l
e
-
c
oi
l
s
t
r
uc
t
ur
e
i
s
f
r
om
-
0.
1m
t
o 0.
1
m
.
I
n
F
i
g
ur
e 1
0
,
t
he ef
f
i
c
i
enc
y
of
36 c
o
i
l
s
t
r
uc
t
ur
e i
s
n
ear
l
y
t
h
e s
am
e as
t
he s
i
n
gl
e c
o
i
l
m
odel
.
T
her
ef
or
e,
w
e s
u
g
ges
t
t
h
at
t
he
t
r
ans
m
i
t
t
er
w
oul
d b
et
t
er
us
e
no m
or
e t
ha
n 3
6 c
o
i
l
s
s
t
r
uc
t
ur
e.
I
n
s
um
m
ar
y
,
w
e
c
an
c
on
c
l
ude
t
h
at
t
he
f
our
c
oi
l
s
s
t
r
uc
t
ur
e
i
s
t
he
m
os
t
opt
i
m
i
z
ed
s
t
r
uc
t
ur
e f
or
our
t
r
ans
m
i
t
t
er
i
n t
er
m
s
o
f
bot
h t
h
e ef
f
i
c
i
enc
y
a
nd t
he r
ec
e
i
v
ed
po
w
er
.
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KO
M
NI
K
A
I
S
S
N
:
2
302
-
4
046
D
es
i
gn
an
d S
i
m
ul
at
i
on o
f
Mul
t
i
pl
e C
o
i
l
M
o
de
l
f
or
W
i
r
el
e
s
s
P
ow
er
T
r
ans
m
is
s
io
n
…
(
D
uan Z
hao
)
4175
5.
2
.
C
h
a
r
a
c
te
r
i
s
ti
c
s
o
f th
e
D
i
ffe
r
e
n
t T
r
a
n
s
m
i
tte
r
S
i
z
e
s
F
or
s
i
ngl
e c
oi
l
s
t
r
uc
t
ur
e
,
t
he m
agnet
i
c
s
t
r
engt
h
H
i
s
af
f
ec
t
ed b
y
t
h
e di
am
et
er
of
t
he
t
r
ans
m
i
t
t
er
and t
he
di
s
t
a
nc
e bet
w
een t
he t
r
a
ns
m
i
t
t
er
and t
he r
ec
ei
v
er
.
I
n
or
der
t
o
pr
ov
e
t
hat
t
h
e
m
u
lt
ip
le
c
o
i
l
s
s
t
r
uc
t
ur
e
al
s
o
appl
i
es
t
o
E
qu
at
i
on
(
1)
,
t
h
e
s
i
m
ul
at
i
ons
of
m
ul
t
i
pl
e
c
o
i
l
s
s
t
r
uc
t
ur
e
of
di
f
f
er
ent
s
i
z
e
ar
e
g
i
ve
n
.
F
r
o
m
t
he r
es
ul
t
s
of
di
f
f
er
ent
s
i
z
es
of
t
he t
r
ans
m
i
t
t
er
,
w
e
f
i
nd t
hat
w
h
en t
h
e s
i
de
l
en
gt
h of
t
he
t
r
ans
m
i
t
t
er
i
s
60
0
m
m
t
he
r
ec
ei
v
er
w
i
l
l
g
et
t
he
hi
g
hes
t
ef
f
i
c
i
enc
y
v
al
ue.
T
hi
s
i
s
m
at
c
hes
t
he
r
es
ul
t
s
obt
ai
ned
b
y
t
h
e t
h
e
or
y
c
al
c
u
l
a
t
i
o
n.
F
i
gur
e
10
.
R
ec
ei
v
e
d
P
o
w
er
E
f
f
i
c
i
enc
y
f
or
D
i
f
f
er
ent
T
r
a
ns
m
i
t
t
er
S
i
z
es
5.
3
.
O
p
ti
m
i
z
e
d
S
i
m
u
l
a
ti
o
n
R
e
s
u
l
ts
T
he par
am
et
er
s
o
f
t
he r
ec
ei
v
er
ar
e def
i
n
ed a
nd t
h
e
s
y
s
t
em
opt
i
m
i
z
at
i
on
i
s
t
o f
i
nd t
he
m
o
s
t
pr
oper
par
am
et
er
s
of
t
he t
r
ans
m
i
t
t
er
,
w
h
i
c
h
c
an
pr
ov
i
de
t
h
e
hi
ghes
t
r
ec
ei
v
ed po
w
er
and
ef
f
i
c
i
enc
y
at
2
00
m
m
hei
gh
t
.
T
he opt
i
m
i
z
e
d par
am
et
er
s
and s
i
m
ul
at
i
o
ns
r
es
ul
t
s
ar
e s
ho
w
n as
f
o
llo
w
s
:
T
abl
e 3
.
O
p
t
i
m
i
z
ed
C
onf
i
g
u
r
at
i
ons
f
or
t
h
e F
our
C
oi
l
s
T
r
ans
m
i
t
t
er
P
ar
a
m
et
er
V
al
ue
C
ent
er
C
oor
di
nat
es
o
f
C
o
i
l 1
(
-
100 m
m
,
100
m
m
)
C
ent
er
C
oor
di
nat
es
o
f
C
oi
l
2
(
100 m
m
,
100
m
m
)
C
ent
er
C
oor
di
nat
es
o
f
C
oi
l
3
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