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ar
y
a
n
d
s
ec
o
n
d
ar
y
cir
cu
it
is
co
m
p
en
s
ate
d
w
it
h
ad
d
itio
n
a
l
co
m
p
o
n
e
n
t
s
(
s
u
c
h
as
ca
p
ac
ito
r
)
s
in
ce
r
esear
ch
er
s
w
a
n
t
to
o
b
tain
th
e
m
a
x
i
m
u
m
p
o
w
er
ab
s
o
r
b
ed
b
y
th
e
lo
ad
r
ec
eiv
er
s
i
n
t
h
e
s
ec
o
n
d
ar
y
cir
cu
it.
T
h
e
co
m
p
en
s
atio
n
n
et
w
o
r
k
s
co
n
s
is
t
o
f
s
er
ies
-
s
er
ies,
s
er
ies
-
p
ar
allel,
p
ar
allel
-
s
er
ies,
an
d
p
ar
allel
-
p
a
r
allel
cir
cu
its
.
E
ac
h
o
f
th
e
co
m
p
e
n
s
atio
n
n
et
w
o
r
k
s
h
a
v
e
s
e
v
er
al
p
r
o
s
an
d
c
o
n
s
d
ep
en
d
in
g
o
n
t
h
e
W
P
T
s
y
s
te
m
r
eq
u
ir
e
m
en
t
s
[
1
5
]
.
I
n
th
e
cu
r
r
en
t
s
t
u
d
y
,
t
h
e
m
a
x
i
m
u
m
W
P
T
p
o
w
er
s
ca
n
b
e
o
b
tain
ed
u
s
i
n
g
ca
lc
u
latio
n
th
e
o
r
ies.
T
h
e
m
o
s
t
g
e
n
er
ic
t
h
eo
r
y
is
b
y
ca
l
cu
lati
n
g
th
e
r
eso
n
a
n
t
f
r
eq
u
e
n
c
y
.
A
lter
n
ati
v
el
y
,
w
e
ca
n
o
b
tain
t
h
e
m
at
h
e
m
at
i
ca
l
m
o
d
el
s
o
f
th
e
W
P
T
cir
cu
it
[
1
6
]
an
d
th
en
co
n
d
u
ct
t
h
e
o
p
tim
izatio
n
u
s
i
n
g
p
ar
tial
d
er
iv
ati
v
es
o
n
s
o
m
e
p
ar
am
eter
s
[
1
7
]
o
r
u
s
e
th
e
h
eu
r
is
tic
a
lg
o
r
it
h
m
s
u
ch
a
s
g
e
n
etic
al
g
o
r
ith
m
s
o
r
p
ar
ticle
s
w
ar
m
o
p
ti
m
izatio
n
s
(
P
SO)
[
1
8
]
.
A
f
ter
w
ar
d
s
,
w
e
ca
n
ap
p
ly
t
h
e
f
r
eq
u
e
n
c
y
r
esp
o
n
s
e
o
r
ca
lcu
late
th
e
av
er
ag
e
p
o
w
er
to
v
alid
ate
th
e
ca
lcu
latio
n
s
.
B
y
f
i
n
d
in
g
th
e
o
p
tim
u
m
f
r
eq
u
e
n
c
y
p
o
in
t
w
e
ca
n
g
ain
m
ax
i
m
u
m
p
o
wer
ab
s
o
r
b
ed
b
y
th
e
r
ec
eiv
er
s
.
E
v
e
n
t
h
o
u
g
h
w
e
c
an
o
b
tain
t
h
e
m
a
x
i
m
u
m
p
o
wer
th
eo
r
etica
ll
y
,
t
h
er
e
e
x
is
t
s
m
u
tu
al
in
d
u
cta
n
ce
p
ar
am
eter
i
n
t
h
e
ca
lc
u
latio
n
t
h
at
w
il
l
b
e
d
if
f
i
cu
lt
to
esti
m
ate
s
in
ce
it
d
ep
en
d
s
o
n
t
h
e
c
o
u
p
lin
g
co
ef
f
icie
n
t
b
et
w
ee
n
-
1
to
1
.
T
h
e
co
u
p
lin
g
co
ef
f
icie
n
t
d
ep
en
d
s
o
n
t
h
e
q
u
alit
y
o
f
th
e
co
p
p
er
(
o
r
m
ate
r
ials
)
,
d
is
tan
ce
,
an
d
an
g
le
o
f
th
e
p
r
i
m
ar
y
an
d
s
ec
o
n
d
ar
y
co
ils
.
U
s
i
n
g
m
ea
s
u
r
ed
d
is
tan
ce
b
et
w
ee
n
co
il
s
,
w
e
c
an
d
eter
m
in
e
t
h
e
o
p
tim
u
m
f
r
eq
u
e
n
c
y
o
f
W
P
T
s
y
s
te
m
[
1
9
]
,
[
2
0
]
.
T
h
e
s
y
s
t
e
m
r
eq
u
ir
es
ad
d
itio
n
a
l
d
is
ta
n
ce
s
en
s
o
r
a
n
d
th
e
p
lace
m
en
t o
f
th
e
s
en
s
o
r
m
u
s
t
b
e
p
r
ec
is
e.
An
ad
d
itio
n
al
c
h
alle
n
g
e
i
n
t
h
e
W
PT
ca
n
o
cc
u
r
in
r
ea
l
-
w
o
r
ld
s
itu
atio
n
s
s
u
c
h
as
f
r
eq
u
e
n
cy
s
p
litt
i
n
g
p
h
en
o
m
e
n
o
n
.
T
h
e
f
r
eq
u
en
c
y
s
p
litt
i
n
g
p
h
e
n
o
m
e
n
o
n
h
ap
p
en
s
w
h
en
th
e
d
is
ta
n
ce
b
et
w
ee
n
co
ils
is
b
ig
g
er
th
a
n
th
e
cr
i
tical
v
a
lu
e
a
n
d
t
h
e
p
ea
k
f
r
o
m
t
h
e
f
r
eq
u
e
n
c
y
p
o
in
t
s
w
ill
ch
a
n
g
e
to
d
o
u
b
le
p
ea
k
.
T
h
is
s
itu
atio
n
m
ak
e
s
t
h
e
o
p
tim
u
m
f
r
eq
u
e
n
c
y
p
o
in
t
is
s
h
if
ted
f
r
o
m
th
e
ca
lcu
latio
n
[
2
1
]
–
[
2
4
]
.
T
h
er
ef
o
r
e,
th
e
n
ee
d
to
s
w
ee
p
th
e
f
r
eq
u
en
c
y
(
at
s
o
m
e
r
an
g
e)
in
t
h
e
W
PT
d
ev
ices
m
u
s
t b
e
co
n
d
u
cted
.
T
h
is
s
tu
d
y
w
i
ll
f
o
c
u
s
o
n
t
h
e
d
esig
n
a
n
d
d
ev
elo
p
m
e
n
t
o
f
p
r
o
g
r
a
m
m
ab
le
s
q
u
ar
e
w
av
e
f
u
n
ctio
n
g
en
er
ato
r
f
o
r
W
PT
s
y
s
te
m
u
s
i
n
g
g
e
n
er
ic
a
n
d
co
m
m
o
n
e
m
b
e
d
d
ed
d
ev
ices.
Ou
r
s
y
s
te
m
w
ill
b
e
ab
le
to
d
eliv
er
p
r
o
g
r
am
m
ab
le
f
u
n
ctio
n
a
lit
y
i
n
th
e
f
r
eq
u
en
c
y
g
e
n
er
ato
r
s
o
it
w
i
ll
b
e
ab
le
to
s
elec
t
th
e
f
r
e
q
u
en
c
y
o
n
d
e
m
an
d
.
W
e
v
alid
ate
o
u
r
s
y
s
te
m
b
y
m
e
asu
r
i
n
g
t
h
e
o
u
tp
u
t p
o
w
er
ab
s
o
r
b
ed
b
y
th
e
lo
ad
.
Si
n
ce
w
e
ar
e
u
s
i
n
g
s
q
u
ar
e
w
a
v
e
s
ig
n
al,
t
h
e
h
ar
m
o
n
ics
o
f
th
e
s
in
e
w
av
e
w
i
ll
cr
ea
te
a
p
h
en
o
m
en
o
n
in
t
h
e
f
r
eq
u
en
c
y
r
esp
o
n
s
e
t
h
at
s
h
o
w
s
t
h
e
o
p
tim
u
m
p
o
in
t
s
w
ill
h
av
e
s
e
t o
f
p
atter
n
s
o
f
t
h
e
lo
ca
l a
n
d
t
h
e
g
lo
b
al
p
ea
k
.
2.
M
E
T
H
O
D
I
n
o
r
d
er
to
g
ain
h
i
g
h
p
o
w
e
r
W
PT
ci
r
cu
it
n
ee
d
to
b
e
co
m
p
e
n
s
ated
.
T
h
e
co
m
p
en
s
ati
o
n
m
ea
n
s
to
p
o
lo
g
y
a
n
d
co
m
p
o
n
e
n
t
s
u
s
e
d
to
b
r
in
g
th
e
h
i
g
h
p
o
w
er
W
PT
.
W
PT
cir
cu
it
ca
n
b
e
co
m
p
en
s
ated
u
s
in
g
s
er
ies
-
s
er
ies,
s
er
ies
-
p
ar
allel,
p
ar
allel
-
s
er
ie
s
,
o
r
p
ar
allel
-
p
ar
allel.
I
n
th
is
s
t
u
d
y
,
w
e
ch
o
o
s
e
th
e
s
er
ies
-
p
ar
allel
co
m
p
e
n
s
at
io
n
cir
cu
it
s
in
ce
we
ar
e
u
s
in
g
it
f
o
r
lo
w
-
p
o
w
er
ap
p
licatio
n
s
an
d
lo
w
er
d
c
lin
k
v
o
ltag
e.
I
n
t
h
is
s
itu
a
tio
n
t
h
e
s
er
ie
s
-
pa
r
allel
ci
r
cu
it
is
b
etter
t
h
an
o
t
h
er
s
co
m
p
e
n
s
atio
n
cir
c
u
it
[
2
5
]
.
Ou
r
p
r
o
p
o
s
ed
cir
cu
it
is
d
escr
ib
ed
in
Fig
u
r
e
1
.
T
h
e
b
a
s
ic
W
PT
p
r
im
ar
y
cir
cu
it
co
n
s
i
s
ts
o
f
A
C
v
o
lta
g
e
s
o
u
r
ce
u
(
t
)
,
in
ter
n
al
r
esis
ta
n
ce
o
f
v
o
ltag
e
s
o
u
r
ce
R
s
,
th
e
ca
p
ac
ito
r
C
1
an
d
th
e
co
il
L
1
as
p
r
i
m
ar
y
co
il
w
it
h
th
e
r
esis
tan
ce
R
1
.
T
h
e
cu
r
r
en
t
f
lo
w
in
t
h
e
co
il
w
ill
g
e
n
er
ate
elec
tr
o
m
a
g
n
etic
i
n
d
u
c
tio
n
s
to
L
2
af
f
ec
ted
w
it
h
m
u
tu
a
l
i
n
d
u
cta
n
ce
=
√
1
2
,
w
h
er
e
K
i
s
th
e
co
u
p
lin
g
co
ef
f
icien
t
b
et
w
ee
n
-
1
a
n
d
1
th
at
c
an
b
e
r
ep
r
esen
ted
w
i
th
d
is
tan
ce
o
r
m
i
s
ali
g
n
m
e
n
t
b
et
w
ee
n
p
r
im
ar
y
a
n
d
s
ec
o
n
d
ar
y
co
ils
[
2
6
]
,
[
2
7
]
.
T
h
e
s
ec
o
n
d
ar
y
cir
cu
it
co
n
s
is
t
s
o
f
th
e
L
2
co
il
w
it
h
R
2
as
th
e
r
esis
ta
n
ce
.
Sin
ce
w
e
ar
e
u
s
i
n
g
s
er
ie
s
-
p
ar
allel
co
m
p
en
s
at
io
n
c
ir
cu
it
w
e
p
u
t
th
e
ca
p
ac
ito
r
C
2
i
n
p
ar
allel
w
it
h
t
h
e
L
2
co
il f
o
r
th
e
s
ec
o
n
d
ar
y
c
ir
cu
it.
W
e
co
n
d
u
ct
th
e
s
i
m
u
latio
n
s
u
s
i
n
g
t
h
e
s
o
f
t
w
ar
e
s
i
m
u
l
atio
n
p
r
o
g
r
am
w
it
h
in
te
g
r
at
ed
cir
cu
it
(
L
T
SP
I
C
E
)
.
T
h
e
cir
cu
it
p
ar
a
m
eter
co
n
f
ig
u
r
atio
n
i
s
u
s
ed
as
in
T
ab
le
1
.
Fu
r
th
er
,
w
e
s
i
m
u
l
ate
th
e
cir
cu
it
u
s
i
n
g
f
r
eq
u
en
c
y
r
esp
o
n
s
e
(
1
V
A
C
v
o
ltag
e)
s
w
ee
p
b
et
w
ee
n
1
0
0
Hz
to
1
3
0
k
Hz
f
o
r
2
5
0
p
o
in
ts
.
T
h
e
r
esu
lt
is
p
lo
tted
u
s
i
n
g
P
y
th
o
n
m
atp
lo
tlib
as
i
n
Fig
u
r
e
2
.
T
h
e
in
d
u
cta
n
ce
o
f
W
PT
cir
cu
it
co
n
s
is
ts
o
f
p
r
i
m
ar
y
i
n
d
u
c
tan
ce
a
n
d
s
ec
o
n
d
ar
y
i
n
d
u
cta
n
ce
w
h
er
e
ea
ch
in
d
u
ctan
ce
co
m
es
f
r
o
m
co
p
p
er
co
ils
.
W
e
u
s
e
th
e
s
er
ies
-
p
ar
alle
l
co
n
f
i
g
u
r
a
tio
n
an
d
m
atc
h
th
e
f
r
eq
u
en
c
y
r
eso
n
a
n
t
f
o
r
m
u
la
=
1
/
(
2
√
)
an
d
ca
lcu
late
th
e
o
p
ti
m
u
m
f
r
eq
u
en
c
y
p
o
in
t i
s
lo
ca
ted
at
5
3
.
1
4
k
Hz.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
9
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I
n
t J
R
ec
o
n
f
i
g
u
r
ab
le
&
E
m
b
ed
d
ed
Sy
s
t
,
Vo
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ter
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