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I
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P
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imp
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f h
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Nu
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ty
.
I
t
is
co
n
n
ec
ted
to
th
e
lo
ad
at
p
o
in
t
o
f
co
m
m
o
n
co
u
p
lin
g
(
PC
C
)
in
p
ar
allel,
as
s
h
o
wn
in
Fig
u
r
e
1
.
T
h
e
th
r
ee
p
r
im
ar
y
c
o
m
p
o
n
en
ts
o
f
th
e
c
o
n
tr
o
ller
in
a
s
h
u
n
t
ac
tiv
e
p
o
wer
f
ilter
(
SAPF
)
d
esig
n
ar
e
d
etec
tio
n
,
d
c
b
u
s
co
n
tr
o
l
,
an
d
cu
r
r
en
t
co
n
tr
o
l,
wh
ich
is
u
tili
ze
d
to
g
en
er
ate
th
e
s
witch
in
g
p
u
ls
e
f
o
r
th
e
in
v
er
ter
[
8
]
.
T
h
e
p
r
o
ce
s
s
o
f
g
e
n
er
atin
g
ac
cu
r
ate
s
y
s
tem
v
ar
iab
les
(
in
f
o
r
m
atio
n
)
f
o
r
r
e
f
er
en
ce
s
ig
n
al
esti
m
atio
n
b
eg
in
s
with
th
e
d
etec
tio
n
o
f
ess
en
tial
v
o
ltag
e/cu
r
r
en
t
s
i
g
n
als.
T
h
e
wav
e
t
h
at
was
d
is
r
u
p
ted
y
ield
s
a
co
m
p
en
s
atio
n
s
ig
n
al
t
h
at
h
as
b
o
th
f
u
n
d
am
e
n
tal
an
d
h
ar
m
o
n
i
c
co
n
ten
ts
.
T
h
er
e
ar
e
two
wa
y
s
to
g
o
a
b
o
u
t
t
h
is
:
th
e
f
r
eq
u
en
c
y
d
o
m
ai
n
ap
p
r
o
ac
h
an
d
th
e
tim
e
d
o
m
ain
a
p
p
r
o
ac
h
.
T
h
e
Fo
u
r
ier
a
n
aly
s
is
o
f
th
e
d
is
to
r
ted
(
h
ar
m
o
n
ics)
v
o
ltag
e
o
r
c
u
r
r
en
t
s
ig
n
als
s
er
v
es
a
s
th
e
f
o
u
n
d
ati
o
n
f
o
r
th
e
f
r
eq
u
e
n
cy
d
o
m
ain
c
o
n
tr
o
l
s
tr
ateg
y
u
s
e
d
to
ex
tr
ac
t
co
m
p
en
s
atio
n
c
o
m
m
an
d
s
.
On
e
o
f
th
e
d
is
ad
v
an
tag
es
o
f
th
is
f
ield
is
th
at
it
r
eq
u
ir
es
a
lo
t
o
f
m
ath
em
atica
l
co
m
p
u
tatio
n
,
w
h
ich
tak
es
tim
e
to
co
m
p
lete.
F
u
r
th
er
m
o
r
e,
a
g
o
o
d
a
n
d
q
u
ick
p
r
o
ce
s
s
o
r
n
ee
d
s
to
b
e
tak
en
in
to
co
n
s
id
er
atio
n
f
o
r
b
etter
an
d
m
o
r
e
e
f
f
icien
t
p
er
f
o
r
m
an
ce
.
T
im
e
d
o
m
ain
tech
n
iq
u
e
co
n
tr
o
l
s
tr
ateg
ies
ar
e
s
im
p
le
to
im
p
lem
e
n
t
an
d
d
o
n
'
t
r
eq
u
ir
e
a
l
o
t
o
f
co
m
p
u
tatio
n
[
9
]
.
I
t
r
elies
o
n
t
h
e
in
s
tan
ta
n
eo
u
s
d
er
i
v
atio
n
o
f
co
m
p
en
s
atio
n
co
m
m
a
n
d
s
in
th
e
f
o
r
m
o
f
d
is
to
r
ted
s
ig
n
als
(
v
o
l
tag
e
o
r
cu
r
r
en
t)
t
h
at
ca
n
tak
e
e
ith
er
o
f
two
f
o
r
m
s
.
T
h
e
cr
ea
tio
n
o
f
an
ac
tiv
e
f
ilter
cu
r
r
en
t
r
ef
er
e
n
ce
i
n
c
o
n
v
e
n
tio
n
al
cu
r
r
en
t
d
etec
tio
n
m
eth
o
d
s
i
s
ty
p
ically
p
r
ed
icate
d
o
n
th
e
h
ar
m
o
n
ic
d
etec
tio
n
o
f
lo
a
d
cu
r
r
en
ts
th
r
o
u
g
h
th
e
ap
p
licatio
n
o
f
well
-
k
n
o
wn
tim
e
d
o
m
ai
n
co
n
tr
o
l
s
tr
ateg
ies,
s
u
ch
as
s
y
n
ch
r
o
n
o
u
s
d
etec
t
io
n
m
et
h
o
d
[
1
0
]
,
in
s
tan
tan
e
o
u
s
p
o
wer
th
eo
r
y
(
p
-
q
th
eo
r
y
)
[
1
1
]
,
s
y
n
ch
r
o
n
o
u
s
r
ef
er
e
n
ce
f
r
am
e
(
d
-
q
th
eo
r
y
)
[
1
2
]
–
[
1
4
]
.
Du
e
to
its
ef
f
ec
tiv
en
ess
an
d
s
im
p
licit
y
,
th
e
s
y
n
ch
r
o
n
o
u
s
r
ef
er
en
ce
f
r
am
e
tech
n
iq
u
e
(
d
-
q
th
eo
r
y
)
h
as
b
ee
n
th
e
m
o
s
t
f
r
eq
u
en
tly
u
s
ed
i
n
s
tu
d
ies
[
1
5
]
–
[
1
7
]
.
H
o
wev
er
,
o
n
e
p
r
o
b
lem
th
at
ca
n
b
e
f
o
u
n
d
t
o
en
h
a
n
ce
th
e
h
ar
m
o
n
ic
d
ete
ctio
n
m
ec
h
a
n
is
m
'
s
p
er
f
o
r
m
an
ce
in
tim
e
d
o
m
ain
co
r
r
ec
tio
n
is
th
e
f
ilter
in
g
a
p
p
r
o
ac
h
u
s
ed
in
th
e
d
-
q
ax
is
to
a
s
s
es
s
th
e
d
y
n
a
m
ics
an
d
ac
cu
r
ac
y
o
f
th
e
r
ef
er
e
n
ce
cu
r
r
en
t
d
etec
tio
n
alg
o
r
ith
m
.
T
h
e
tr
ad
itio
n
al
m
eth
o
d
p
r
o
d
u
ce
s
th
e
r
ef
er
en
ce
s
ig
n
al
b
y
s
ep
ar
atin
g
th
e
f
u
n
d
am
e
n
tal
f
r
o
m
h
ar
m
o
n
ic
c
u
r
r
en
t
s
ig
n
als
u
s
in
g
a
n
u
m
er
ic
al
lo
w
p
ass
f
ilter
(
L
PF
)
[
1
8
]
,
[
1
9
]
.
T
h
is
d
o
es
n
o
t,
h
o
wev
er
,
to
tally
r
em
o
v
e
th
e
s
y
s
tem
's
h
ar
m
o
n
ic
cu
r
r
en
ts
.
T
h
er
ef
o
r
e
,
a
s
tr
o
n
g
f
ilter
in
g
s
c
h
em
e
in
th
e
co
n
tr
o
l
alg
o
r
ith
m
is
r
eq
u
ir
ed
to
en
s
u
r
e
s
af
e
s
y
s
tem
o
p
er
atio
n
b
y
r
e
d
u
cin
g
th
e
h
a
r
m
f
u
l
u
n
wan
ted
h
ar
m
o
n
ic
cu
r
r
en
t.
T
h
e
L
PF
an
d
h
i
g
h
p
ass
f
ilt
er
(
HPF
)
a
r
e
ca
s
ca
d
e
d
in
t
h
is
wo
r
k
t
o
cr
ea
t
e
a
b
a
n
d
p
ass
f
i
lte
r
,
w
h
ic
h
en
h
a
n
ce
s
t
h
e
p
e
r
f
o
r
m
an
ce
o
f
t
h
e
s
h
u
n
t
a
cti
v
e
p
o
w
e
r
f
ilt
er
.
T
h
is
m
et
h
o
d
b
ases
t
h
e
r
e
f
e
r
e
n
ce
h
a
r
m
o
n
i
c
c
u
r
r
e
n
t'
s
am
p
li
tu
d
e
o
n
t
h
e
s
y
s
te
m
'
s
a
cti
v
e
p
o
we
r
b
ala
n
ce
a
n
d
is
g
en
er
ate
d
b
y
t
h
e
DC
-
li
n
k
v
o
l
ta
g
e
c
o
n
t
r
o
lle
r
.
T
h
e
d
esi
r
e
d
cu
t
o
f
f
f
r
e
q
u
e
n
c
ies
ar
e
o
b
t
ai
n
e
d
b
y
tu
n
i
n
g
t
h
e
B
PF
'
s
c
en
te
r
f
r
e
q
u
en
c
y
a
n
d
b
a
n
d
wi
d
t
h
i
n
o
r
d
er
to
lo
we
r
t
h
e
h
a
r
m
o
n
i
c
d
is
t
o
r
ti
o
n
(
T
HD
)
.
T
h
is
is
h
o
w
t
h
e
p
a
p
e
r
is
s
et
u
p
.
T
h
e
s
u
g
g
este
d
h
a
r
m
o
n
ic
d
et
ec
t
io
n
tec
h
n
i
q
u
e
c
o
n
t
r
o
l
s
tr
a
te
g
y
is
d
esc
r
i
b
e
d
in
s
e
cti
o
n
2
.
S
ec
t
io
n
3
p
r
o
v
i
d
es s
p
ec
i
f
i
c
s
o
n
h
a
r
m
o
n
i
c
ex
tr
ac
ti
o
n
u
s
in
g
B
PF
,
a
n
d
s
e
cti
o
n
4
p
r
ese
n
ts
a
n
d
d
is
cu
s
s
es
th
e
o
u
t
c
o
m
es
o
f
th
e
s
im
u
l
ati
o
n
.
Se
cti
o
n
5
c
o
n
cl
u
d
es
wi
th
a
s
u
m
m
a
r
y
o
f
t
h
e
w
o
r
k
.
Fig
u
r
e
1
.
Sh
u
n
t a
ctiv
e
p
o
wer
f
ilter
2.
H
ARMON
I
C
CURR
E
NT
D
E
T
E
C
T
I
O
N
T
E
CH
N
I
Q
UE
S
T
im
e
d
o
m
ai
n
o
r
f
r
e
q
u
en
c
y
d
o
m
ain
co
r
r
ec
tio
n
tech
n
iq
u
es
ca
n
b
e
u
s
ed
to
ac
h
iev
e
c
o
n
tr
o
l
s
tr
ateg
ies
f
o
r
th
e
g
en
er
atio
n
o
f
co
m
p
e
n
s
atio
n
s
ig
n
als.
Fo
u
r
ier
a
n
aly
s
is
o
f
th
e
d
is
to
r
ted
v
o
ltag
e
o
r
cu
r
r
e
n
t
s
ig
n
als
s
er
v
es
as
th
e
b
asis
f
o
r
th
e
co
n
tr
o
l
s
tr
ateg
y
u
s
ed
in
th
e
f
r
eq
u
en
cy
d
o
m
ai
n
to
ex
tr
ac
t
c
o
m
p
en
s
atin
g
co
m
m
an
d
s
.
I
n
c
o
n
tr
ast,
in
s
tan
tan
eo
u
s
d
er
i
v
atio
n
o
f
co
m
p
en
s
atio
n
c
o
m
m
an
d
s
f
o
r
ti
m
e
d
o
m
ain
tech
n
iq
u
es
is
o
b
ta
in
ed
in
th
e
f
o
r
m
o
f
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
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:
2
0
8
8
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
1
6
,
No
.
1
,
Ma
r
c
h
20
2
5
:
380
-
388
382
d
is
to
r
ted
s
ig
n
als
(
v
o
ltag
e
o
r
c
u
r
r
en
t)
.
T
h
is
m
eth
o
d
is
ty
p
ically
ap
p
lied
p
r
im
ar
ily
to
t
h
r
ee
-
p
h
ase
s
y
s
tem
s
.
W
h
en
co
m
p
ar
ed
to
f
r
eq
u
e
n
cy
d
o
m
a
in
tech
n
iq
u
es,
it
h
as
th
e
ad
v
an
tag
e
o
f
s
im
p
licity
an
d
ea
s
e
o
f
im
p
lem
en
tatio
n
b
ec
au
s
e
it r
eq
u
ir
es less
m
ath
e
m
atica
l c
o
m
p
u
tatio
n
.
2
.
1
.
Sy
nchro
no
us
re
f
er
ence
f
ra
m
e
(
SRF)
T
h
e
r
ef
e
r
en
ce
h
ar
m
o
n
ic
cu
r
r
e
n
t
s
ig
n
als
ar
e
ex
tr
ac
te
d
u
s
in
g
th
is
tim
e
d
o
m
ain
co
r
r
ec
tio
n
tech
n
iq
u
e.
B
lo
ck
d
iag
r
am
f
o
r
SR
F
-
b
ased
h
ar
m
o
n
ic
cu
r
r
e
n
t
d
etec
tio
n
is
s
h
o
wn
in
Fig
u
r
e
2
.
T
o
im
p
lem
e
n
t
th
e
s
y
n
c
h
r
o
n
o
u
s
r
ef
er
en
ce
f
r
am
e
th
e
o
r
y
,
a
tw
o
-
p
h
ase
o
r
th
o
g
o
n
al
c
o
o
r
d
i
n
ate
s
y
s
tem
r
o
tatin
g
at
a
p
r
ed
e
ter
m
in
ed
s
p
ee
d
is
s
u
b
s
titu
ted
f
o
r
th
e
t
h
r
ee
-
p
h
ase
co
o
r
d
i
n
ate
s
y
s
tem
u
s
in
g
th
e
C
lar
k
e
an
d
Par
k
tr
a
n
s
f
o
r
m
atio
n
[
2
0
]
.
Fig
u
r
e
2
.
B
lo
ck
d
iag
r
am
o
f
h
a
r
m
o
n
ic
d
etec
tio
n
m
eth
o
d
A
s
tep
-
by
-
s
tep
g
u
i
d
e
to
co
m
p
letin
g
th
is
tr
an
s
itio
n
is
p
r
o
v
id
ed
b
elo
w.
First,
as
in
d
icate
d
b
y
(
1
)
,
th
e
th
r
ee
-
p
h
ase
s
u
p
p
ly
cu
r
r
e
n
ts
,
i
a,
ib
,
a
n
d
ic,
ar
e
co
n
v
er
ted
to
a
two
-
p
h
ase
(
α
−
β)
s
tatio
n
ar
y
r
e
f
er
en
ce
f
r
am
e
cu
r
r
en
t,
i
α
iβ
.
[
]
=
√
2
3
[
1
−
1
2
1
2
0
√
3
2
−
√
3
2
]
[
]
(
1
)
I
n
th
e
s
ec
o
n
d
s
tep
,
th
e
α
−
β
p
lan
e
is
s
witch
ed
to
th
e
d
-
q
r
e
f
er
en
ce
f
r
am
e,
an
d
th
e
u
n
it
v
ec
to
r
is
u
s
ed
to
g
en
er
ate
th
e
s
in
e
an
d
co
s
in
e
s
ig
n
als
n
ee
d
ed
t
o
s
y
n
ch
r
o
n
ize
with
th
e
s
u
p
p
l
y
'
s
v
o
ltag
es
an
d
cu
r
r
en
t
[
2
1
]
.
B
o
th
AC
an
d
DC
co
m
p
o
n
e
n
ts
m
ak
e
u
p
th
e
o
b
tain
e
d
d
-
q
cu
r
r
en
ts
.
T
h
e
h
a
r
m
o
n
ic
co
m
p
o
n
e
n
t
o
f
c
u
r
r
en
t
is
r
ep
r
esen
te
d
b
y
th
e
AC
co
m
p
o
n
en
t,
w
h
ile
th
e
f
u
n
d
am
en
tal
c
o
m
p
o
n
en
t
is
f
ix
ed
as
th
e
DC
p
ar
t.
As
illu
s
tr
ated
in
Fig
u
r
e
3
,
th
is
h
ar
m
o
n
ic
c
o
m
p
o
n
en
t
ca
n
b
e
ex
tr
ac
t
e
d
with
ea
s
e
b
y
ap
p
ly
in
g
ca
s
ca
d
e
d
2
nd
o
r
d
er
lo
w
p
ass
an
d
h
ig
h
p
ass
f
ilter
s
.
Fo
r
d
-
q
r
ef
er
e
n
ce
f
r
am
e,
cu
r
r
e
n
t e
x
p
r
ess
io
n
is
as
(
2
)
.
[
]
=
[
s
in
(
)
−
(
)
(
)
(
)
]
[
]
(
2
)
W
h
er
e
θ
r
ep
r
esen
ts
th
e
v
o
ltag
e
s
ig
n
al'
s
p
h
ase
an
g
le.
Step
th
r
ee
in
v
o
lv
es
u
s
in
g
th
e
b
an
d
p
ass
f
ilter
cr
ea
ted
b
y
ca
s
ca
d
in
g
L
PF
an
d
HPF
to
r
em
o
v
e
th
e
AC
s
ig
n
al
in
o
r
d
e
r
to
d
etec
t th
e
h
a
r
m
o
n
ics.
[
]
=
[
̅
̅
]
(
3
)
I
n
s
tep
f
o
u
r
,
iα
an
d
iβ
ar
e
t
h
u
s
o
b
tain
ed
as f
o
llo
ws:
[
]
=
[
s
in
(
)
−
(
)
(
)
(
)
]
[
]
(
4
)
T
h
e
iα
-
r
e
f
an
d
iβ
-
r
ef
r
ef
e
r
en
ce
cu
r
r
en
t sig
n
als ar
e
p
r
o
v
id
ed
b
y
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
6
9
4
P
erfo
r
ma
n
ce
imp
r
o
ve
men
t o
f h
a
r
mo
n
ic
d
etec
tio
n
a
lg
o
r
ith
m
in
th
r
ee
p
h
a
s
e
th
r
ee
w
ir
e
…
(
Zu
b
a
ir
u
Usma
n
)
383
[
−
−
]
=
[
s
in
(
)
−
(
)
(
)
(
)
]
[
̃
+
̃
]
(
5
)
L
astl
y
,
s
tep
f
iv
e
u
s
es
th
e
in
v
e
r
s
e
tr
an
s
f
o
r
m
atio
n
to
p
r
o
v
id
e
t
h
e
AB
C
r
ef
er
en
ce
f
r
am
e,
f
r
o
m
wh
ich
th
e
cu
r
r
en
t
is
o
b
tain
ed
as
(
6
)
.
[
−
−
−
]
=
√
2
3
[
1
0
−
1
2
√
3
2
1
2
−
√
3
2
]
[
−
−
]
(
6
)
T
h
e
n
ec
ess
ar
y
PW
M
s
witch
i
n
g
p
u
ls
es
f
o
r
th
e
in
v
er
ter
ar
e
p
r
o
d
u
ce
d
b
y
co
m
p
ar
in
g
th
e
ex
tr
ac
ted
h
ar
m
o
n
i
c
r
ef
er
en
ce
c
u
r
r
en
t w
ith
t
h
e
f
ilte
r
o
r
in
v
er
ter
c
u
r
r
en
ts
.
3.
B
AND
-
P
AS
S F
I
L
T
E
R
DE
SI
G
N
As
s
h
o
wn
in
Fig
u
r
e
3
,
th
e
d
esig
n
u
tili
ze
d
two
s
ec
o
n
d
-
o
r
d
er
l
o
w
-
p
ass
an
d
h
ig
h
-
p
ass
f
ilter
s
to
cr
ea
te
a
b
an
d
p
ass
f
ilter
(
B
PF
)
ca
p
ab
le
o
f
ef
f
ec
tiv
ely
is
o
latin
g
a
n
d
r
ed
u
cin
g
u
n
d
esire
d
cu
r
r
en
t
h
ar
m
o
n
ics
in
th
e
s
y
s
tem
.
T
h
ese
h
ar
m
o
n
ics,
wh
ich
r
em
a
in
ed
p
r
esen
t
in
th
e
lin
e
an
d
co
n
tr
ib
u
ted
to
th
e
r
ea
ctiv
e
p
o
we
r
co
m
p
o
n
en
t,
we
r
e
tar
g
eted
to
im
p
r
o
v
e
o
v
er
all
f
il
ter
in
g
ef
f
icien
cy
.
T
h
e
lo
w
p
as
s
f
ilter
was
d
esig
n
ed
to
s
u
p
p
r
ess
h
ig
h
-
f
r
eq
u
e
n
cy
n
o
is
e,
wh
ile
th
e
h
ig
h
p
ass
f
ilter
elim
in
ated
lo
w
-
f
r
e
q
u
en
c
y
d
is
tu
r
b
an
ce
s
,
allo
win
g
th
e
B
PF
to
f
o
cu
s
o
n
t
h
e
h
ar
m
o
n
ic
f
r
eq
u
en
cy
r
an
g
e
o
f
i
n
ter
est.
B
y
co
m
b
in
i
n
g
th
ese
f
ilter
s
,
th
e
s
y
s
tem
ac
h
iev
ed
a
m
o
r
e
r
ef
in
e
d
h
a
r
m
o
n
ic
is
o
latio
n
p
r
o
ce
s
s
,
en
s
u
r
in
g
g
r
e
ater
s
tab
ilit
y
an
d
ac
cu
r
ac
y
in
c
o
m
p
en
s
atin
g
r
ea
ctiv
e
p
o
wer
.
T
h
is
d
esig
n
ap
p
r
o
ac
h
n
o
t
o
n
l
y
im
p
r
o
v
ed
t
h
e
h
ar
m
o
n
ic
s
u
p
p
r
ess
io
n
b
u
t
also
en
h
a
n
ce
d
th
e
o
v
er
all
p
e
r
f
o
r
m
an
ce
o
f
th
e
s
h
u
n
t
ac
tiv
e
p
o
wer
f
ilter
in
h
ig
h
-
co
n
tam
in
a
tio
n
en
v
ir
o
n
m
en
ts
.
Fig
u
r
e
3
.
C
ascad
ed
L
PF
an
d
HPF to
f
o
r
m
b
an
d
p
ass
f
ilter
Ov
er
all
h
ar
m
o
n
ic
co
m
p
en
s
ati
o
n
is
ac
h
iev
e
d
in
th
e
f
u
n
d
a
m
e
n
tal
d
q
-
f
r
am
e
d
u
e
t
o
th
e
tr
an
s
p
o
s
itio
n
o
f
th
e
f
u
n
d
a
m
en
tal
f
r
eq
u
en
cy
s
ig
n
al
to
a
DC
co
m
p
o
n
en
t.
A
b
an
d
o
f
th
e
ch
o
s
en
h
ar
m
o
n
ic
cu
r
r
en
t
s
p
ec
tr
u
m
r
esu
lts
f
r
o
m
r
em
o
v
i
n
g
it
a
n
d
all
o
th
er
h
ar
m
o
n
ics
f
r
o
m
th
e
lo
ad
cu
r
r
en
t
u
s
in
g
th
e
L
PF
an
d
HPF.
C
h
ar
ac
ter
is
ti
c
h
ar
m
o
n
ics,
wh
ich
a
r
e
g
en
er
at
ed
b
y
s
em
ico
n
d
u
cto
r
c
o
n
v
e
r
ter
d
ev
ices
o
p
er
atin
g
in
s
tead
y
s
ta
te
u
n
d
er
id
ea
l
co
n
d
itio
n
s
,
ar
e
ex
p
r
ess
ed
as f
o
llo
ws
[
2
2
]
:
ℎ
=
±
1
(
7
)
wh
er
e
n
is
an
in
te
g
er
b
etwe
en
1
,
2
,
3
,
an
d
h
is
th
e
o
r
d
er
o
f
h
a
r
m
o
n
ics.
p
is
th
e
q
u
an
tity
o
f
p
u
ls
es in
a
cy
cle.
T
h
e
f
u
n
d
am
e
n
tal
d
-
q
-
f
r
am
e
h
as
an
in
tr
i
g
u
in
g
p
r
o
p
er
t
y
in
t
h
at
it
h
as
ch
ar
ac
ter
is
tic
h
a
r
m
o
n
ics
with
o
r
d
er
s
±
6
n
-
1
f
o
ld
to
±
6
n
o
r
d
e
r
s
,
d
esp
ite
th
e
f
ac
t
th
at
it
d
o
es
n
o
t
allo
w
f
o
r
s
p
ec
if
ic
s
elec
tiv
e
co
m
p
en
s
atio
n
o
f
h
ar
m
o
n
ic
cu
r
r
en
t
[
2
3
]
.
T
h
is
h
as
th
e
b
en
ef
it
o
f
u
tili
zin
g
a
s
in
g
le
s
elec
t
iv
e
co
n
tr
o
ller
to
s
im
u
ltan
eo
u
s
ly
co
m
p
en
s
ate
f
o
r
two
h
a
r
m
o
n
ic
o
r
d
er
s
.
T
h
e
o
r
d
er
o
f
th
e
ch
ar
a
cter
is
tic
o
r
d
o
m
in
an
t
h
ar
m
o
n
i
cs
f
o
r
a
th
r
ee
-
p
h
ase
b
r
id
g
e
r
ec
tifie
r
,
with
p
=
6
p
u
ls
es p
er
lin
e
f
r
eq
u
e
n
cy
cy
cle,
is
H
=
n
⋅
6
±
1
=
5
,
7,
1
1
,
1
3
,
17,
19,
2
3
,
2
5
,
35,
3
7
.
T
h
e
B
PF
was
ad
ju
s
ted
f
o
r
att
en
u
atio
n
,
b
an
d
wid
th
,
a
n
d
ce
n
t
er
f
r
e
q
u
en
c
y
at
th
e
n
ec
ess
ar
y
h
ar
m
o
n
ic
f
r
eq
u
e
n
cy
u
s
in
g
l
o
wer
cu
t
o
f
f
f
r
eq
u
e
n
cies
an
d
a
p
ass
b
an
d
(
B
W
)
o
f
1
0
Hz.
T
h
is
r
esu
lted
in
im
p
r
o
v
ed
T
HD
p
er
f
o
r
m
an
ce
.
T
h
is
m
eth
o
d
ef
f
ec
tiv
ely
atten
u
ates
th
e
m
o
r
e
d
an
g
er
o
u
s
h
ar
m
o
n
ic
co
m
p
o
n
e
n
ts
o
f
th
e
d
is
to
r
ted
lo
ad
cu
r
r
e
n
t
,
wh
ich
ar
e
n
o
t
s
u
f
f
icien
tly
r
e
d
u
ce
d
b
y
o
th
e
r
co
n
tr
o
ller
s
,
alm
o
s
t
en
tire
ly
.
T
h
e
p
r
im
ar
y
f
ac
to
r
af
f
ec
tin
g
th
e
ac
cu
r
ac
y
an
d
d
y
n
am
ics
o
f
th
e
h
a
r
m
o
n
ic
(
d
is
to
r
ti
o
n
s
)
d
etec
tio
n
m
ec
h
an
is
m
is
t
h
e
n
u
m
e
r
ical
f
ilter
.
On
e
m
u
s
t
c
h
o
o
s
e
a
co
m
p
r
o
m
is
e
b
etwe
en
th
e
two
wh
en
ch
o
o
s
in
g
a
f
ilter
'
s
f
ea
tu
r
es.
T
h
ese
d
e
p
en
d
o
n
th
e
f
ilter
'
s
cu
to
f
f
f
r
eq
u
e
n
cy
a
n
d
o
r
d
er
[
2
4
]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
1
6
,
No
.
1
,
Ma
r
c
h
20
2
5
:
380
-
388
384
Ho
wev
er
,
a
h
ig
h
er
o
r
d
er
f
ilte
r
with
a
lo
w
cu
to
f
f
f
r
e
q
u
en
c
y
im
p
r
o
v
es
h
ar
m
o
n
ic
atten
u
a
tio
n
at
th
e
ex
p
en
s
e
o
f
a
s
lo
wer
r
esp
o
n
s
e
wh
en
th
e
lo
ad
v
ar
ies.
Simu
latio
n
s
tu
d
ies
s
h
o
wed
th
at,
at
th
e
ex
p
en
s
e
o
f
r
esp
o
n
s
e
s
p
ee
d
,
th
e
ca
s
ca
d
ed
f
ilter
s
u
s
e
d
in
Fig
u
r
e
3
p
r
o
d
u
ce
d
b
etter
r
esu
lts
.
As
a
r
esu
lt,
it
i
s
im
p
o
r
tan
t
to
d
eter
m
in
e
t
h
e
tr
ad
e
-
o
f
f
b
etwe
en
ac
c
u
r
ac
y
a
n
d
s
p
ee
d
(
tim
e
r
esp
o
n
s
e)
.
T
h
e
f
ilter
p
ar
a
m
eter
s
ar
e
f
o
u
n
d
u
s
in
g
th
e
e
x
p
r
ess
io
n
s
f
o
u
n
d
in
(
8
)
–
(
12
)
o
f
[
2
5
]
.
=
2
−
1
(
8
)
=
0
(
9
)
∝
=
1
(
1
0
)
H
ig
h
p
ass
f
ilter
cu
to
f
f
f
r
eq
u
en
cy
:
1
=
√
(
2
)
2
+
0
2
−
2
(
1
1
)
Lo
w
p
ass
f
ilter
cu
to
f
f
f
r
eq
u
en
cy
:
2
=
√
(
2
)
2
+
0
2
+
2
(
1
2
)
wh
er
e
is
b
an
d
wid
th
,
is
a
q
u
ality
f
ac
to
r
,
∝
is
atten
u
atio
n
,
1
is
lo
w
cu
to
f
f
f
r
e
q
u
en
c
y
,
2
is
h
ig
h
cu
to
f
f
f
r
eq
u
e
n
cy
,
a
n
d
0
is
th
e
ce
n
ter
f
r
eq
u
en
cy
.
4.
RE
SU
L
T
S AN
D
AN
AL
Y
SI
S
T
h
e
p
er
f
o
r
m
a
n
ce
o
f
th
e
s
u
g
g
e
s
ted
s
h
u
n
t a
ctiv
e
p
o
wer
f
ilter
was e
x
am
in
ed
u
s
in
g
MA
T
L
A
B
/Si
m
u
lin
k
s
im
u
latio
n
.
T
ab
le
1
s
h
o
ws
th
e
d
esig
n
p
ar
a
m
eter
s
th
at
wer
e
u
s
ed
in
th
is
s
im
u
latio
n
s
tu
d
y
.
T
h
e
test
s
y
s
tem
co
n
s
is
ts
o
f
a
th
r
ee
-
p
h
ase
v
o
lta
g
e
s
u
p
p
ly
with
an
u
n
co
n
tr
o
lled
r
ec
tifie
r
r
esis
to
r
-
in
d
u
cto
r
(
R
L
)
lo
ad
.
T
h
e
an
al
y
s
is
wa
s
d
o
n
e
u
s
in
g
L
PF
,
tr
ad
itio
n
al
B
PF
,
an
d
f
in
ally
an
L
PF
an
d
HPF
co
m
b
in
atio
n
.
B
ased
o
n
T
ab
le
2
'
s
r
esu
lts
,
th
e
co
m
b
in
ed
L
PF
an
d
HPF
f
ilter
s
(
B
PF
)
,
as
s
h
o
wn
in
Fig
u
r
e
3
,
p
er
f
o
r
m
b
etter
in
ter
m
s
o
f
T
HD.
B
etter
p
er
f
o
r
m
an
ce
is
a
ch
iev
e
d
with
a
s
m
aller
b
an
d
wid
th
.
T
o
f
ilter
t
h
e
s
ig
n
al,
th
e
B
PF
is
tu
n
ed
at
t
h
e
d
esire
d
h
ar
m
o
n
ic
f
r
eq
u
e
n
cy
u
s
in
g
lo
w
cu
to
f
f
f
r
eq
u
en
cies
an
d
a
p
ass
b
an
d
(
B
W
)
o
f
1
0
Hz.
T
h
e
(
19
)
an
d
(
20
)
d
eter
m
in
e
th
e
ap
p
r
o
p
r
iate
B
PF
cu
t
-
o
f
f
f
r
eq
u
en
cies.
I
t
was
p
o
s
s
ib
le
to
s
ep
a
r
ate
th
e
f
u
n
d
a
m
en
tal
f
r
o
m
h
ar
m
o
n
ic
co
m
p
o
n
en
ts
o
f
th
e
m
ea
s
u
r
e
d
s
y
s
tem
l
o
ad
,
d
em
o
n
s
tr
atin
g
th
e
ef
f
icac
y
o
f
th
is
co
n
f
ig
u
r
atio
n
in
m
itig
atin
g
h
a
r
m
o
n
ic
cu
r
r
en
ts
as sh
o
wn
in
T
ab
le
2
.
T
h
e
f
ilter
in
d
u
cto
r
(
L
)
is
u
s
e
d
to
co
n
n
ec
t
th
e
s
h
u
n
t
APF
t
o
th
e
n
o
n
-
lin
ea
r
lo
ad
s
y
s
tem
in
o
r
d
er
to
co
m
p
en
s
ate
f
o
r
h
ar
m
o
n
ics.
T
h
e
s
im
u
latio
n
r
esu
lts
'
s
ig
n
al
wav
ef
o
r
m
s
ar
e
s
h
o
wn
in
Fig
u
r
es
4
th
r
o
u
g
h
1
0
.
T
h
e
non
-
lin
ea
r
lo
ad
'
s
cu
r
r
en
t
s
ig
n
al
is
d
is
p
lay
ed
in
Fi
g
u
r
e
4
p
r
io
r
to
c
o
m
p
e
n
s
atio
n
.
B
ef
o
r
e
co
m
p
en
s
atio
n
,
th
e
d
is
to
r
ted
lin
e
cu
r
r
en
t
ca
u
s
es
a
n
o
n
-
lin
ea
r
lo
ad
t
h
at
r
esu
lts
in
a
to
tal
h
ar
m
o
n
ic
d
is
to
r
tio
n
(
T
HD)
o
f
2
5
.
6
0
%.
T
h
is
o
u
tco
m
e
u
n
eq
u
iv
o
ca
lly
d
em
o
n
s
tr
ates th
at
th
e
p
r
esen
ce
o
f
a
n
o
n
-
lin
ea
r
lo
ad
d
is
to
r
ts
th
e
s
u
p
p
ly
cu
r
r
en
t.
T
ab
le
1
.
Desig
n
p
ar
am
eter
s
f
o
r
s
im
u
latio
n
s
tu
d
y
S
y
st
e
m
p
a
r
a
m
e
t
e
r
s
V
a
l
u
e
s
S
y
st
e
m
p
a
r
a
m
e
t
e
r
s
V
a
l
u
e
s
F
r
e
q
u
e
n
c
y
5
0
H
z
D
C
V
o
l
t
a
g
e
7
0
0
V
S
u
p
p
l
y
v
o
l
t
a
g
e
2
2
0
V
C
a
p
a
c
i
t
o
r
(
C
d
c
)
3
0
0
0
μF
F
i
l
t
e
r
i
n
d
u
c
t
o
r
3
mH
Lo
w
p
a
ss
f
i
l
t
e
r
(
LPF
)
2
0
H
z
Lo
a
d
i
m
p
e
d
a
n
c
e
(
R
L
,
L
L
)
4
0
Ω
,
2
mH
H
i
g
h
p
a
ss
f
i
l
t
e
r
(
H
P
F
)
1
0
H
z
S
o
u
r
c
e
i
mp
e
d
a
n
c
e
(
R
s,
Ls)
0
.
1
5
Ω
,
0
.
0
3
mH
C
e
n
t
e
r
f
r
e
q
u
e
n
c
y
(
f
o
)
1
4
.
1
4
H
z
Li
n
e
i
mp
e
d
a
n
c
e
(
R
r
,
Lr
)
1
Ω
,
1
mH
B
a
n
d
w
i
d
t
h
(
B
W
)
10
T
ab
le
2
.
T
HDs f
o
r
th
e
th
r
ee
f
ilter
s
with
SAPF
F
i
l
t
e
r
t
y
p
e
TH
D
%
t
d
LPF
2
.
1
9
0
.
1
4
5
LPF
2
.
2
0
.
2
LPF
3
.
7
4
0
.
5
C
o
n
v
e
n
t
i
o
n
a
l
B
P
F
0
.
9
9
0
.
1
7
0
LPF
a
n
d
B
P
F
(
B
P
F
)
0
.
9
8
0
.
1
6
5
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
6
9
4
P
erfo
r
ma
n
ce
imp
r
o
ve
men
t o
f h
a
r
mo
n
ic
d
etec
tio
n
a
lg
o
r
ith
m
in
th
r
ee
p
h
a
s
e
th
r
ee
w
ir
e
…
(
Zu
b
a
ir
u
Usma
n
)
385
Fig
u
r
e
4
.
So
u
r
ce
cu
r
r
en
t b
ef
o
r
e
co
m
p
en
s
atio
n
Fig
u
r
e
5
.
So
u
r
ce
cu
r
r
en
t b
ef
o
r
e
co
m
p
en
s
atio
n
Fig
u
r
e
6
.
So
u
r
ce
cu
r
r
en
t a
f
te
r
co
m
p
en
s
atio
n
(
SAPF
with
co
n
v
en
tio
n
al
B
PF
)
Fig
u
r
e
7
.
So
u
r
ce
cu
r
r
en
t a
f
te
r
co
m
p
en
s
atio
n
(
SAPF
with
co
m
b
in
ed
L
PF
an
d
HPF)
Fig
u
r
e
8
.
C
o
m
p
e
n
s
atio
n
cu
r
r
e
n
t (
SAPF
with
L
PF
)
Fig
u
r
e
9
.
C
o
m
p
e
n
s
atio
n
cu
r
r
e
n
t (
SAPF
with
co
n
v
en
tio
n
al
B
PF
)
Fig
u
r
e
1
0
.
C
o
m
p
en
s
atio
n
c
u
r
r
en
t (
SAPF
with
co
m
b
in
ed
L
P
F a
n
d
HPF)
I
n
o
r
d
e
r
to
elim
in
ate
cu
r
r
e
n
t
h
ar
m
o
n
ics,
a
s
h
u
n
t
ac
tiv
e
p
o
we
r
f
ilter
was
ap
p
lied
,
wh
ich
r
esu
lted
in
a
r
ed
u
ctio
n
in
t
h
e
T
HD
o
f
th
e
d
is
to
r
ted
lo
ad
cu
r
r
en
t
f
r
o
m
2
5
.
6
0
%
to
2
.
1
9
%,
0
.
9
9
%,
an
d
0
.
9
8
%
(
as
s
h
o
wn
in
T
ab
le
2
)
b
ased
o
n
a
n
FF
T
a
n
a
ly
s
is
o
f
th
e
s
o
u
r
ce
cu
r
r
en
t
b
ef
o
r
e
a
n
d
a
f
ter
c
o
m
p
e
n
s
atio
n
u
s
in
g
th
r
ee
d
if
f
er
en
t
f
ilter
in
g
s
c
h
em
es.
So
u
r
ce
cu
r
r
en
t
wav
ef
o
r
m
s
f
o
llo
win
g
co
m
p
en
s
atio
n
ar
e
s
h
o
wn
in
Fig
u
r
e
s
5
-
7
,
r
esp
ec
tiv
ely
,
f
o
r
ea
c
h
f
ilter
co
n
f
ig
u
r
atio
n
.
W
ith
th
e
ap
p
licatio
n
o
f
a
s
h
u
n
t a
ctiv
e
p
o
wer
f
ilter
,
it
is
ev
id
e
n
t f
r
o
m
t
h
ese
r
esu
lts
th
at
th
e
s
o
u
r
ce
cu
r
r
en
t
is
n
o
w
s
in
u
s
o
id
al.
C
u
r
r
en
t
co
m
p
en
s
a
tio
n
is
s
h
o
wn
in
Fig
u
r
es
8
-
1
0
.
W
h
ile
th
e
T
HD
is
h
ig
h
,
th
e
L
PF
f
ilter
o
u
tp
er
f
o
r
m
ed
th
e
two
B
PF
co
n
f
ig
u
r
ati
o
n
s
in
ter
m
s
o
f
d
elay
tim
e.
B
u
t
a
4
th
o
r
d
er
B
PF
wh
ich
ex
h
ib
its
a
co
r
r
esp
o
n
d
i
n
g
d
elay
r
esp
o
n
s
e
is
g
en
er
at
ed
wh
en
2
n
d
o
r
d
er
L
PF
an
d
2
n
d
o
r
d
er
HPF
ar
e
co
m
b
in
ed
.
T
h
is
clea
r
ly
y
ield
s
a
b
etter
r
esu
lt
in
ter
m
s
o
f
T
H
D.
Yu
s
u
f
et
a
l.
[
2
6
]
ex
p
lain
ed
a
lo
w
p
ass
f
il
ter
was
u
s
ed
f
o
r
f
ilter
in
g
o
f
th
e
h
ar
m
o
n
ics
co
n
ten
t
an
d
th
e
T
HD
was
f
o
u
n
d
to
b
e
2
.
2
%
with
a
t
d
o
f
0
.
2
.
Ag
ai
n
,
f
r
o
m
[
2
7
]
3
.
7
4
%
T
HD
was
o
b
s
er
v
e
d
wh
en
a
b
an
d
p
ass
f
ilter
was
u
s
ed
with
d
q
th
eo
r
y
with
a
t
d
o
f
0
.
5
.
T
ab
le
2
d
is
p
lay
s
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
1
6
,
No
.
1
,
Ma
r
c
h
20
2
5
:
380
-
388
386
th
e
r
esu
lts
th
at
th
ese
an
aly
s
es
p
r
o
d
u
ce
d
.
W
h
en
c
o
m
p
ar
e
d
to
t
h
e
o
th
er
f
ilter
in
g
s
ch
em
es,
th
e
co
m
b
in
ed
L
PF
an
d
HPF
(
B
PF
)
ex
h
ib
it
b
etter
p
er
f
o
r
m
an
ce
with
a
T
HD
o
f
0
.
9
8
%.
T
h
is
v
er
if
ied
th
at
th
e
s
u
g
g
e
s
ted
f
ilter
in
g
s
ch
em
e
ef
f
ec
tiv
ely
ad
d
r
ess
ed
th
e
s
y
s
tem
'
s
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ar
m
o
n
ic
d
is
to
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tio
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s
.
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wev
er
,
th
e
m
ajo
r
co
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s
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ain
t
in
th
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ch
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n
in
g
o
f
th
e
f
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d
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ices
wh
ich
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a
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it
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er
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if
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icu
lt
to
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h
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e
a
n
d
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o
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s
u
m
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o
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tim
e.
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c
o
m
p
lete
s
im
u
latio
n
d
iag
r
am
o
f
th
e
s
h
u
n
t a
ctiv
e
p
o
wer
f
ilter
is
s
h
o
wn
in
Fig
u
r
e
1
1
.
Fig
u
r
e
1
1
.
C
o
m
p
lete
to
p
o
lo
g
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o
f
th
e
SAPF
5.
CO
NCLU
SI
O
N
Har
m
o
n
ic
cu
r
r
en
t
m
itig
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n
i
n
th
e
f
u
n
d
am
e
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tal
d
-
q
f
r
a
m
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i
s
p
r
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ted
in
th
is
s
tu
d
y
.
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y
tr
an
s
p
o
s
in
g
f
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n
d
am
e
n
tal
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r
eq
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i.e
.
,
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am
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n
d
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tal
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r
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e
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cy
)
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th
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tech
n
iq
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e
ac
h
iev
es
o
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er
all
h
a
r
m
o
n
ic
co
m
p
en
s
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n
.
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y
em
p
lo
y
in
g
L
PF
an
d
HPF
to
is
o
late
th
e
DC
an
d
all
o
th
er
h
ar
m
o
n
ic
cu
r
r
en
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f
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o
m
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t,
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s
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ar
m
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u
r
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n
t
s
p
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tr
u
m
b
a
n
d
is
p
r
o
d
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ce
d
.
W
h
e
n
th
e
v
o
ltag
e
s
o
u
r
ce
in
v
er
ter
s
witch
es o
n
,
t
h
is
h
ar
m
o
n
ic
s
p
ec
tr
u
m
ac
ts
as a
r
ef
er
en
ce
s
ig
n
al.
Ho
wev
e
r
,
a
b
an
d
o
f
ch
o
s
en
h
ar
m
o
n
ics
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f
o
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n
d
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n
d
am
en
tal
d
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q
-
f
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am
e,
u
n
lik
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h
a
r
m
o
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-
f
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e,
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it
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s
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m
o
n
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cu
r
r
en
t c
o
m
p
en
s
atio
n
.
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h
is
s
etu
p
is
s
tr
aig
h
tf
o
r
war
d
an
d
d
o
e
s
n
'
t
in
v
o
lv
e
a
lo
t o
f
co
m
p
u
tati
o
n
wh
en
tu
n
in
g
to
a
p
ar
ticu
lar
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ar
m
o
n
ic
f
o
r
c
o
m
p
en
s
atio
n
.
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o
u
g
h
th
e
r
e
is
a
n
o
ticea
b
le
d
elay
b
ec
au
s
e
o
f
t
h
e
n
u
m
er
ical
f
ilter
s
,
th
e
co
n
f
ig
u
r
atio
n
y
ield
s
b
ette
r
T
HD
r
esu
lts
.
T
h
is
d
elay
ca
n
b
e
ad
d
r
ess
ed
in
th
e
f
u
tu
r
e
b
y
u
s
in
g
a
f
ilter
less
s
y
s
tem
f
o
r
s
ep
ar
atio
n
s
o
f
h
ar
m
o
n
ics
in
th
e
d
-
q
f
r
am
e
u
s
in
g
m
ath
e
m
atica
l
th
eo
r
y
o
r
p
r
i
n
cip
le.
Als
o
t
u
n
i
n
g
p
r
o
b
lem
s
ca
n
b
e
elim
in
ated
wh
en
ar
tific
ial
i
n
tellig
en
ce
(
AI
)
is
u
s
ed
in
th
e
p
r
o
ce
s
s
to
r
e
d
u
c
e
tim
e
wastag
e.
T
h
e
r
esu
lts
o
f
th
e
s
im
u
latio
n
d
em
o
n
s
tr
ate
h
o
w
well
th
is
ap
p
r
o
ac
h
wo
r
k
s
to
m
itig
ate
u
n
wan
ted
lo
w
o
r
d
er
h
a
r
m
o
n
ic
s
th
at
ar
e
s
till
p
r
esen
t
in
th
e
s
y
s
tem
ev
en
af
ter
an
L
PF
h
as
b
ee
n
u
s
ed
.
W
ith
th
is
f
ilter
co
n
f
ig
u
r
atio
n
,
th
e
T
HD
d
ec
r
ea
s
ed
f
r
o
m
2
5
.
6
0
% to
0
.
9
8
%.
ACK
NO
WL
E
DG
E
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E
NT
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T
h
e
au
th
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s
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d
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x
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ess
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g
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t
ap
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r
ec
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to
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e
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lar
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esear
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I
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Un
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iti
T
ek
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o
lo
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d
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o
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E
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g
,
UiT
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Sh
ah
Alam
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Selan
g
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la
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e,
f
ac
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an
d
f
in
an
cial
s
u
p
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t.
RE
F
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NC
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S
[
1
]
A
.
K
u
mar,
“
P
o
w
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q
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l
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t
y
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ss
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b
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sy
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m
,
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n
2
0
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2
1
9
t
h
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o
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.
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9
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4
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.
[
2
]
A
.
N
.
S
k
a
my
i
n
,
I
.
V
D
o
b
u
sh
,
a
n
d
I
.
A
.
G
u
r
e
v
i
c
h
,
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I
n
f
l
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e
n
c
e
o
f
n
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l
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r
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o
f
t
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p
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w
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y
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m,”
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n
2
0
2
3
5
t
h
I
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t
e
r
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t
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o
n
a
l
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Ra
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e
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t
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c
s,
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.
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ith
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(
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Usma
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)
387
[
3
]
P
.
R
a
m
y
a
,
K
.
S
a
h
i
t
h
y
a
,
T.
V
a
ms
i
,
a
n
d
B
.
P
a
n
g
e
d
a
i
a
h
,
“
I
mp
r
o
v
e
me
n
t
i
n
t
h
e
p
o
w
e
r
q
u
a
l
i
t
y
b
y
u
s
i
n
g
d
y
n
a
m
i
c
v
o
l
t
a
g
e
r
e
s
t
o
r
e
r
,
”
i
n
2
0
2
2
I
EEE
2
n
d
My
so
r
e
S
u
b
S
e
c
t
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t
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r
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t
i
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n
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l
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n
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e
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su
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5
7
1
4
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2
0
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2
.
9
9
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2
5
9
4
.
[
4
]
C
.
La
u
r
a
n
o
,
S
.
T
o
s
c
a
n
i
,
a
n
d
M
.
Z
a
n
o
n
i
,
“
A
s
i
m
p
l
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m
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t
h
o
d
f
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c
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e
n
sa
t
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a
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m
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i
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d
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i
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c
u
r
r
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n
t
t
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a
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sf
o
r
mers
:
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p
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d
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,
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2
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0
7
.
[
5
]
T.
J
.
A
b
i
r
a
m
i
,
N
.
L.
S
u
r
a
sm
i
,
B
.
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.
V
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n
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d
,
a
n
d
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.
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h
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n
y
,
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y
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c
h
r
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e
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me
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se
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b
a
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c
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t
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o
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,
”
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n
2
0
2
3
I
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t
e
rn
a
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l
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o
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f
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re
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,
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5
7
7
8
9
.
2
0
2
3
.
1
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6
5
1
9
8
.
[
6
]
A
.
G
o
v
i
n
d
,
K
.
J
a
y
a
sw
a
l
,
V
.
K
.
T
a
y
a
l
,
a
n
d
P
.
K
u
mar,
“
S
i
m
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l
a
t
i
o
n
a
n
d
r
e
a
l
t
i
me
i
m
p
l
e
me
n
t
a
t
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n
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f
s
h
u
n
t
a
c
t
i
v
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p
o
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f
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l
t
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f
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p
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w
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a
l
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w
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l
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Po
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j
.
e
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sr
.
2
0
2
3
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1
1
0
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4
2
.
[
7
]
M
.
P
i
c
h
a
n
,
H
.
H
a
f
e
z
i
,
H
.
B
a
sn
e
t
,
a
n
d
T.
R
o
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a
,
“
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d
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p
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w
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f
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l
t
e
r
,
”
i
n
I
E
C
O
N
2
0
2
2
–
4
8
t
h
A
n
n
u
a
l
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fro
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h
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it
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)
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p
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(
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)
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th
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c
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t
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rld
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c
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d
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rre
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y
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m
o
r
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th
a
n
1
2
0
0
st
u
d
e
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ts
j
o
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th
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r
ld
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fre
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.
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h
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c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
siti
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li
h
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it
m
.
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d
u
.
m
y
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u
leim
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sa
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ti
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p
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m
a
in
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tri
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lo
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d
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ic
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1
9
9
4
a
n
d
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ra
d
u
a
te
d
a
t
Up
p
e
r
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d
it
.
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th
e
n
jo
in
e
d
th
e
se
rv
ice
o
f
th
e
P
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l
y
tec
h
n
ic i
n
1
9
9
5
a
s a
n
a
ss
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t
tec
h
n
icia
n
.
In
1
9
9
8
He
o
b
tain
e
d
h
is
Hig
h
e
r
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ti
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n
a
l
Dip
lo
m
a
(p
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we
r
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n
d
m
a
c
h
in
e
o
p
ti
o
n
)
a
t
Up
p
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r
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d
it
fro
m
th
e
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p
a
rtme
n
t
o
f
El
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c
tri
c
a
l
a
n
d
E
lec
tro
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ic
E
n
g
i
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e
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g
Tec
h
n
o
lo
g
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Ka
d
u
n
a
P
o
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tec
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ic.
F
u
rth
e
rm
o
re
,
h
e
o
b
tai
n
e
d
th
e
P
o
st
Hi
g
h
e
r
Na
ti
o
n
a
l
Di
p
lo
m
a
in
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c
tro
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a
n
d
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o
m
m
u
n
ica
ti
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n
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g
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n
e
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rin
g
a
t
Up
p
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r
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d
it
fro
m
t
h
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sa
m
e
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p
a
rtme
n
t
o
f
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e
c
tri
c
a
l
a
n
d
El
e
c
tro
n
ic
En
g
i
n
e
e
rin
g
Tec
h
n
o
l
o
g
y
i
n
2
0
0
2
.
He
p
ro
c
e
e
d
e
d
t
o
Ba
y
e
ro
Un
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rsit
y
Ka
n
o
w
h
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re
h
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o
b
tain
e
d
a
m
a
ste
r'
s
d
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g
re
e
in
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lec
tri
c
a
l
En
g
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n
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rin
g
i
n
2
0
0
8
.
In
2
0
1
7
He
o
b
tai
n
e
d
a
P
h
.
D
.
d
e
g
re
e
in
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e
c
t
rica
l
P
o
we
r
S
y
ste
m
fro
m
th
e
Un
iv
e
rsiti
P
u
tra
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a
lay
sia
.
He
c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
su
m
u
sa
1
1
5
@
g
m
a
il
.
c
o
m
.
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