I
nte
rna
t
io
na
l J
o
urna
l o
f
Adv
a
nces in Applie
d Science
s
(
I
J
AAS)
Vo
l.
5
,
No
.
1
,
Ma
r
ch
2
0
1
6
,
p
p
.
21
~
31
I
SS
N:
2252
-
8814
21
J
o
ur
na
l ho
m
ep
a
g
e
:
h
ttp
:
//ia
e
s
jo
u
r
n
a
l.c
o
m/o
n
lin
e/in
d
ex
.
p
h
p
/I
J
AAS
Co
m
pa
riso
n of
V
a
rio
us Lev
els o
f
P
a
ra
llel Multilev
el
Active
Filt
er
Using
N
PC
M
ultilevel Inv
ert
er
F
a
ro
uk
H
a
dj
B
ena
li,
F
o
ua
d Az
zo
uz
El
e
c
tro
tec
h
n
ic De
p
a
rtm
e
n
t,
El
e
c
tr
ica
l
En
g
in
e
e
rin
g
F
a
c
u
lt
y
,
UST
O
-
M
B
Un
iv
e
rsity
,
A
lg
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ri
a
Art
icle
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nfo
AB
ST
RAC
T
A
r
ticle
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to
r
y:
R
ec
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ed
Dec
1
0
,
2
0
1
5
R
ev
i
s
ed
Feb
10
,
2
0
1
6
A
cc
ep
ted
Feb
2
6
,
2
0
1
6
T
h
is
p
a
p
e
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p
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ts
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o
rw
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tec
h
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iq
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c
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n
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th
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m
u
lt
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e
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c
ti
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il
ter.
A
c
o
m
p
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e
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e
e
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th
e
so
u
rc
e
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ts
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e
f
o
re
a
n
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a
f
ter
f
il
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g
is
m
a
d
e
.
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e
n
a
c
o
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p
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riso
n
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e
twe
e
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e
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if
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e
n
t
m
u
lt
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e
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e
l
a
c
ti
v
e
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il
ters
.
T
h
e
su
b
jec
ts
o
f
c
o
m
p
a
riso
n
a
re
th
e
to
tal
h
a
rm
o
n
ic
d
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rti
o
n
s
(T
HD
)
o
f
th
e
so
u
r
c
e
c
u
rre
n
t.
T
h
e
o
b
tain
e
d
sim
u
latio
n
re
su
l
ts
h
a
v
e
p
ro
v
e
d
th
a
t
th
e
f
il
terin
g
q
u
a
li
ty
is
im
p
ro
v
e
d
w
h
e
n
in
c
re
a
sin
g
th
e
a
c
ti
v
e
f
il
ter
lev
e
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S
i
m
u
latio
n
s
a
re
c
a
rried
o
u
t
b
y
P
S
IM
p
ro
g
ra
m
.
K
ey
w
o
r
d
:
Mu
ltil
e
v
el
i
n
v
er
ter
NP
C
co
n
v
er
ter
P
ar
allel
m
u
ltil
e
v
el
ac
ti
v
e
f
ilter
SP
W
M
T
HD
Co
p
y
rig
h
t
©
201
6
In
s
t
it
u
te o
f
A
d
v
a
n
c
e
d
E
n
g
i
n
e
e
rin
g
a
n
d
S
c
ien
c
e
.
Al
l
rig
h
ts
re
se
rv
e
d
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
Far
o
u
k
Had
j
B
en
ali,
E
lectr
o
tech
n
ic
Dep
ar
t
m
en
t,
E
lectr
ical
E
n
g
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n
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Facu
l
t
y
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UST
O
-
MB
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l M
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ao
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ar
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ir
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l
Dj
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an
A
l
g
er
ia.
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-
m
a
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f
ar
o
u
k
0
4
0
9
@
h
o
t
m
ail.
co
m
1.
I
NT
RO
D
UCT
I
O
N
T
h
e
in
cr
ea
s
in
g
u
s
e
i
n
in
d
u
s
tr
y
o
f
e
n
er
g
y
co
n
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er
s
io
n
s
tatic
d
ev
ices
k
n
o
w
n
as
s
ta
tic
co
n
v
er
ter
s
lead
s
to
in
cr
ea
s
in
g
l
y
d
is
t
u
r
b
an
ce
p
r
o
b
lem
s
in
elec
tr
ical
n
et
w
o
r
k
s
.
T
h
u
s
,
in
cr
ea
s
es
i
n
h
ar
m
o
n
ic
r
ates
an
d
cu
r
r
en
t
i
m
b
alan
ce
ar
e
ex
p
ec
ted
,
b
esid
es a
c
o
n
s
eq
u
e
n
t c
o
n
s
u
m
p
tio
n
o
f
r
ea
ctiv
e
p
o
w
er
.
T
h
er
e
ar
e
s
ev
er
al
r
e
m
ed
ial
o
p
tio
n
s
to
clea
n
th
e
elec
tr
ical
s
y
s
te
m
s
.
T
h
at
w
h
ich
b
est
m
ee
ts
to
d
a
y
in
d
u
s
tr
ial
co
n
s
tr
ain
t
s
is
t
h
e
ac
t
iv
e
f
ilter
in
g
(
co
m
p
e
n
s
ato
r
ac
ti
v
e
f
i
lter
)
[
1
]
.
T
h
e
ac
tiv
e
f
ilter
i
n
g
ca
n
b
e
u
s
e
d
to
co
m
p
e
n
s
ate
t
h
e
h
ar
m
o
n
ic
an
d
u
n
b
alan
ce
d
c
u
r
r
en
t
s
,
th
e
h
ar
m
o
n
ic
an
d
u
n
b
alan
ce
d
v
o
lta
g
es,
t
h
e
v
o
ltag
e
d
ip
s
a
n
d
ev
en
t
h
e
r
ea
c
tiv
e
p
o
w
er
[
1
]
,
[
2
]
.
T
h
er
e
ar
e
a
n
u
m
b
er
o
f
ac
tiv
e
f
ilter
to
p
o
lo
g
ies [
2
]
,
[
3
]
,
[
4
]
:
a.
Ser
ies ac
tiv
e
f
il
ter
s
,
b.
P
ar
allel
ac
tiv
e
f
ilter
s
,
c.
H
y
b
r
id
ac
tiv
e
f
ilter
s
.
C
o
m
b
in
a
tio
n
o
f
an
ac
ti
v
e
a
n
d
a
p
ass
iv
e
f
ilter
s
,
d.
A
cti
v
e
f
ilter
b
ased
o
n
m
u
lti
lev
el
in
v
er
ter
s
.
T
h
er
e
ar
e
s
ev
er
al
co
n
tr
o
l stra
teg
ies
f
o
r
th
e
ac
ti
v
e
f
i
lter
.
T
h
e
m
o
s
t
w
id
esp
r
ea
d
ar
e:
a.
T
h
e
co
n
tr
o
l
s
tr
ateg
ie
s
i
n
t
h
e
f
r
eq
u
en
c
y
d
o
m
ain
.
B
ased
o
n
th
e
Fo
u
r
r
ier
an
al
y
s
is
o
f
t
h
e
n
o
n
s
i
n
u
s
o
id
al
v
o
ltag
e
a
n
d
cu
r
r
en
t,
b.
T
h
e
co
n
tr
o
l
s
tr
ateg
ies
in
t
h
e
ti
m
e
d
o
m
ai
n
.
T
h
e
m
o
s
t
k
n
o
w
n
o
f
th
e
s
e
s
tr
ate
g
ies
is
t
h
e
i
n
s
ta
n
tan
eo
u
s
p
o
w
e
r
m
et
h
o
d
.
Ho
w
e
v
er
th
e
ac
ti
v
e
f
ilter
d
o
es
n
o
t
m
ee
t
t
h
e
g
r
o
w
i
n
g
n
ee
d
s
o
f
th
e
i
n
d
u
s
tr
y
,
t
h
is
h
a
s
led
to
s
ee
k
o
u
t
ad
eq
u
ate
s
o
lu
t
io
n
s
.
O
n
e
w
a
y
is
to
i
n
cr
ea
s
e
t
h
e
v
o
ltag
e
le
v
el.
B
u
t
th
e
r
i
s
e
o
f
th
e
s
e
m
i
co
n
d
u
cto
r
w
it
h
s
ta
n
d
v
o
ltag
e
lead
s
to
a
d
eter
io
r
atio
n
o
f
th
eir
s
tatic
an
d
d
y
n
a
m
ic
p
er
f
o
r
m
a
n
ce
s
.
T
h
is
co
n
s
tr
ain
t
h
as
led
to
t
h
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
2
5
2
-
8814
IJ
AA
S
Vo
l.
5
,
No
.
1
,
Ma
r
ch
201
6
:
21
–
31
22
s
u
b
s
t
itu
t
io
n
o
f
t
h
e
ac
ti
v
e
f
il
te
r
co
n
v
en
t
io
n
al
i
n
v
er
ter
b
y
a
m
u
ltil
e
v
el
i
n
v
er
ter
.
T
h
is
co
m
b
in
atio
n
g
iv
e
s
r
is
e
to
th
e
m
u
ltil
e
v
el
ac
ti
v
e
f
ilter
s
.
T
h
e
o
u
tp
u
t
o
f
m
u
ltil
e
v
el
i
n
v
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t
er
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a
s
tair
ca
s
e
w
av
e,
w
h
ic
h
is
n
ea
r
l
y
s
in
u
s
o
id
al
[
5
]
.
Fo
r
th
r
ee
p
h
ase
ap
p
licatio
n
s
an
d
f
o
r
a
s
m
al
l
n
u
m
b
er
o
f
le
v
els,
t
h
e
NP
C
in
v
er
ter
s
ar
e
i
n
ter
esti
n
g
,
s
in
ce
th
e
ca
p
ac
ito
r
s
ar
e
s
h
ar
ed
b
et
w
ee
n
th
e
d
i
f
f
er
en
t
b
r
a
n
ch
e
s
,
r
es
u
lti
n
g
in
th
e
b
ala
n
cin
g
o
f
t
h
e
p
o
w
er
f
lo
w
i
n
g
th
r
o
u
g
h
t
h
e
p
h
a
s
es.
T
h
u
s
t
h
e
m
o
s
t
s
u
i
tab
le
co
n
v
er
ter
f
o
r
o
u
r
ap
p
licatio
n
i
s
t
h
e
NP
C
m
u
ltil
e
v
el
in
v
er
ter
.
T
h
e
p
ap
er
s
tar
ts
w
ith
a
p
r
ese
n
tatio
n
o
f
th
e
ac
tiv
e
f
ilter
f
o
llo
w
ed
b
y
a
r
ec
all
o
f
th
e
Ne
u
tr
al
P
o
in
t
C
la
m
p
ed
m
u
lt
ilev
e
l
in
v
er
ter
NP
C
.
Def
in
itio
n
s
o
f
th
e
tec
h
n
iq
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e
o
f
r
ef
er
en
ce
s
ig
n
al
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e
n
er
atio
n
f
o
r
th
e
r
ea
ctiv
e
in
s
ta
n
ta
n
eo
u
s
p
o
w
er
an
d
th
e
tech
n
iq
u
e
o
f
th
e
SP
W
M
co
n
t
r
o
l
s
ig
n
al
g
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er
atio
n
ar
e
g
iv
en
o
n
th
e
en
s
u
in
g
s
ec
tio
n
.
Fi
n
all
y
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d
is
cu
s
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o
f
th
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s
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m
u
la
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r
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lt
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is
p
r
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n
ted
.
2.
ST
RUC
T
UR
E
O
F
T
H
E
P
A
RAL
L
E
L
M
UL
T
I
L
E
V
E
L
A
CT
I
V
E
F
I
L
T
E
R
O
R
SH
UN
T
(
AP
F
s
)
T
h
e
m
u
lti
lev
el
ac
t
iv
e
f
ilter
i
s
co
n
s
ti
tu
ted
o
f
t
w
o
p
ar
ts
.
T
h
e
p
o
w
er
cir
cu
i
t
is
s
tr
u
ct
u
r
ed
in
to
a
m
u
ltil
e
v
el
i
n
v
er
ter
,
a
co
u
p
li
n
g
f
ilter
an
d
a
p
as
s
iv
e
e
le
m
e
n
t
w
h
i
c
h
s
er
v
es
a
s
an
e
n
er
g
y
s
o
u
r
ce
.
T
h
e
co
n
tr
o
l
cir
cu
it
s
er
v
es
to
m
o
n
ito
r
t
h
e
s
w
itc
h
in
g
o
f
t
h
e
s
e
m
ico
n
d
u
ct
o
r
ele
m
en
t
s
t
h
at
f
o
r
m
t
h
e
i
n
v
er
ter
o
f
th
e
p
o
w
e
r
cir
cu
it.
B
y
m
ea
n
s
o
f
ap
p
r
o
p
r
iate
co
n
tr
o
l
s
tr
ateg
ie
s
,
w
e
ca
n
g
e
n
er
at
e
h
ar
m
o
n
ic
s
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g
n
a
ls
a
t
t
h
e
i
n
v
e
r
ter
o
u
tp
u
t
in
o
r
d
er
to
co
m
p
en
s
ate
t
h
o
s
e
p
r
esen
t i
n
th
e
elec
tr
ical
n
e
w
o
r
k
[
6
]
.
Fig
u
r
e
1
.
Gen
er
al
s
tr
u
ct
u
r
e
o
f
a
p
ar
allel
ac
tiv
e
f
il
ter
3.
NE
U
T
RA
L
P
O
I
NT
C
L
AM
P
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D
M
UL
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V
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L
I
NV
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T
E
R
(
NP
C)
T
h
e
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ter
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C
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2
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m
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;
Evaluation Warning : The document was created with Spire.PDF for Python.