In
te
r
n
ation
a
l Jou
rn
al
o
f Po
we
r
Elec
tron
ic
s an
d
D
r
ive S
y
stem
(IJ
PED
S
)
V
o
l.
11, N
o.
1, Mar
ch 20
20,
p
p.
228~
2
3
4
IS
S
N
: 2088-
86
94,
D
O
I
:
10.11
59
1
/ij
ped
s
.
v11
.
i
1.pp
2
28-
23
4
228
Jou
rn
a
l
h
o
me
pa
ge
:
ht
tp:
//
i
j
ped
s
.
i
ae
sc
ore.
com
Elimination of interharmonic
currents by a FAP using the
technique of c
om
pens
ation global
M
o
ha
m
e
d
A
l
i
Mo
u
s
s
a
1
,
B
a
c
h
ir
B
elmadan
i
2
,
A
h
m
e
d
W
a
hi
d
B
e
l
a
r
b
i
3
,
Ra
chi
d
T
a
l
eb
4
1,
3
Dep
a
rtm
e
nt
o
f
Elect
rot
echni
c,
Un
iv
e
r
sity
o
f
Sc
ie
nc
e
s
a
nd
Te
c
hn
olog
y o
f
Ora
n
Moh
a
me
d
-
Bou
d
ia
f,
Alge
r
i
a
2,
4
L
a
bo
ratory
o
f Elect
rical
En
g
i
n
eer
in
g an
d Ren
e
wab
l
e En
ergy
(LG
EE
R
)
,
C
h
le
f
U
n
i
v
e
r
s
i
ty
,
A
lg
e
r
i
a
Art
i
cl
e In
fo
ABSTRACT
A
r
tic
le hist
o
r
y
:
Re
ce
i
v
e
d
Ju
n
2
,
2019
R
e
v
i
s
e
d
Jul
8
,
2
019
A
c
c
e
pte
d
N
ov 3,
201
9
Th
is
d
ocum
en
t
is
a
c
o
n
tri
b
u
t
i
o
n
to
i
m
p
rov
e
t
he
qual
i
t
y
o
f
el
ect
ri
c
a
l
en
ergy
i
n
the
di
str
i
buti
o
n
network.
I
n
this
a
rt
icle
w
e
wi
ll
p
r
esent
a
met
hod
that
a
ll
o
w
s
us
t
o
c
l
ean
u
p
i
n
a
v
ery
con
s
id
erabl
e
w
ay
t
he
e
l
e
ct
rical
n
etwor
k
of
both
harm
o
n
ics
and
int
e
r
harm
on
ics
prov
ok
ed,
b
a
si
c
a
lly
by
the
ult
r
a
f
ast
switches
us
ed w
hen
con
t
r
o
lli
n
g
a PW
M
inverter s
up
pl
yi
ng a th
ree-ph
a
s
e
as
yn
c
h
ro
no
u
s
m
o
t
o
r.
W
e
no
tice
th
at
t
h
i
s
m
e
t
hod
can
b
e
g
e
n
e
rali
zed
f
o
r
o
ther
lo
a
d
s
creati
ng
inter-h
armo
ni
cs.
This
p
ro
po
sed
m
e
th
o
d
w
as
s
im
ulate
d
u
s
i
ng
th
e
M
A
TLAB/
S
I
MULINK
software
a
nd
h
ad
g
i
v
en
r
em
arkab
l
e
res
u
l
t
s
(t
her
e
i
s
a
con
s
i
d
erabl
e
r
ed
u
c
tio
n
i
n
t
ot
al
h
armo
ni
c
di
s
t
ortion
(
TH
D)
o
f
s
o
u
r
ce
current
fro
m
29
.
52
%
to
0
.8
2%)
K
eyw
ord
s
:
FMV
Interharm
o
ni
cs
Pa
rallel a
c
t
i
ve
f
il
ter
Pu
r
i
ty
Th
is
is a
n
o
p
en acces
s a
r
ti
cle u
n
d
e
r t
h
e
CC
B
Y
-S
A
li
cens
e
.
Corres
pon
d
i
n
g
Au
th
or:
Mo
ham
e
d A
l
i Mo
ussa,
Fa
cult
y
o
f
E
l
e
c
t
rica
l
En
gine
erin
g,
De
p
a
rt
men
t
of
El
ect
rot
e
ch
ni
c,
A
p
p
l
i
e
d P
o
w
e
r
El
e
c
tro
n
i
c
Labora
t
or
y,U
n
ive
r
sit
y
of
S
c
i
e
nc
e
and
T
ech
no
l
o
g
y
o
f
O
r
a
n
Moham
e
d-
Bo
u
d
ia
f,
El M
nao
u
ar
,
BP
1505,
B
ir
E
l D
jir 31
0
00,
O
ra
n,
A
l
g
é
r
ia.
Em
ail:
moha
me
d.alim
oussa
@
u
n
i
v-us
to.dz
1.
I
N
TR
OD
U
C
TI
O
N
The
i
n
cre
a
si
ng
use
of
t
h
e
c
on
tro
l
s
yst
e
m
s
b
a
s
e
d
o
n
el
e
c
tro
n
ic
p
ow
e
r
c
a
u
ses
m
o
re
a
nd
m
o
re
di
st
urba
nce
pr
ob
l
e
ms
i
n
t
h
e
p
o
w
e
r
gr
ids.
I
n
fa
c
t
,
in
a
dd
i
t
i
o
n
t
o
the
ha
rm
onic
d
i
st
urb
a
nce
s
,
o
t
her
s
call
e
d
"i
nt
er-h
armo
nic
"
p
e
r
t
u
rb
ati
ons
(
h
a
rmo
n
i
c
s
wh
o
s
e
fre
qu
e
n
ci
e
s
a
re
n
on-i
n
teger
m
u
lti
p
l
es
o
f
the
fu
nda
m
e
ntal
fre
que
nc
y)
a
re
m
ainl
y
cre
a
te
d
by
the
n
o
n
-l
in
ea
r
lo
a
d
s
c
o
n
n
ected
t
o
t
h
e
ne
tw
ork,
e
sp
e
c
i
a
l
ly
by
t
h
e
c
o
nv
e
r
ters
of
pow
er
(
varia
t
or
s
o
f
s
pe
ed,
etc.
)
[1,
2].
I
t
sh
o
u
ld
be
no
te
d tha
t
i
nter
ha
rm
o
n
ic
s ar
e
c
o
ns
i
d
e
r
ed
t
o
be
mor
e
ha
rm
ful
t
h
an
h
arm
onic
c
o
mpo
n
e
n
ts
b
e
ca
use
th
ey
o
v
e
rl
a
p
t
o
th
e
f
und
a
m
e
n
t
a
l
w
a
v
e
a
nd
m
od
ify
not
onl
y
th
e
shape
o
f
t
he
c
ur
rent,
b
u
t
a
l
so
t
he
vo
lta
ge,
w
h
ic
h
r
e
sults
i
n
t
h
e
fo
l
l
ow
i
n
g
a
dve
rse
e
ffe
cts
[3-5
].
Interfere
nce
w
i
t
h
t
e
l
ec
om
mun
i
c
a
t
i
on
ne
t
w
o
r
k
s
:
The
ele
c
t
rom
a
gne
t
i
c
co
u
p
l
i
n
g
b
e
t
we
en
t
he
e
lectric
a
l
a
n
d
te
l
e
c
o
m
mun
i
c
a
tio
n
ne
tw
ork
s
c
a
n
i
nd
uce
in
t
hese
las
t
i
m
porta
n
t
n
o
i
se
s.
T
h
e
m
a
lfu
n
ct
i
ons
o
f
s
o
me
e
lec
t
ric
a
l
e
qu
i
p
m
e
nt
:
I
n
t
he
p
re
se
nce
o
f
i
n
t
er
harm
on
ic
s,
t
he
vo
lta
ge
(
or
t
he
c
urre
nt
)
ca
n
c
h
a
nge
s
e
v
e
r
al
time
s
o
f
si
gn
i
n
ha
lf
a
p
e
r
io
d
.
Th
e
ri
sk
o
f
re
son
a
n
c
e
ex
ci
ta
t
i
o
n
:
The
res
ona
nc
e
freq
u
enc
i
e
s
o
f
t
h
e
c
i
rc
uits
f
o
r
me
d
by
tran
sfor
me
r
i
nd
uc
ta
nc
es
a
nd
ca
ble
s
a
re
n
orm
a
ll
y
h
i
gh
;
The
low
fr
e
q
u
e
nc
y
osc
illa
t
i
o
n
s
o
f
m
e
c
ha
ni
ca
l
system
s
;
D
i
st
urba
nce
o
f
f
l
uor
esce
n
t
l
i
g
h
tin
g
a
nd
e
l
e
c
tro
n
i
c
equ
i
pme
n
t
;
I
n
t
er
fere
nce
w
i
t
h
c
on
tro
l
a
n
d
p
rote
c
tio
n
si
gna
ls
o
n
p
o
w
e
r
sup
p
l
y
li
nes
;
A
c
o
u
s
t
i
c
d
i
s
t
ur
ba
nce
s
;
The
sa
t
u
rat
i
o
n
of
the
i
n
te
ns
ity
t
r
a
nsform
er
s
.
I
n
t
he
l
itera
tur
e
,
w
e
f
in
d
t
h
a
t
m
any
re
se
arc
h
ers
have
t
r
e
a
t
e
d
t
he
p
ro
b
l
em
o
f
har
m
on
ics
g
e
ne
rate
d
by
loa
d
s
s
u
c
h
a
s
re
ctifiers,
a
lter
n
a
t
ors,
t
ran
s
for
m
e
r
s,
f
lu
o
r
esc
e
n
t
la
mps
,
e
tc
.
B
u
t
o
t
he
r
loa
d
s
suc
h
a
s
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t
J
P
o
w
Elec
&
D
r
i
S
y
st
I
S
S
N
:
2088-
86
94
Elimination of inter
h
ar
monic c
u
rre
n
ts by
a FAP
using
the
te
chnique
…
(Mohame
d
A
li M
ous
sa)
22
9
a
s
ync
hr
o
n
o
u
s
m
otor
s
c
o
n
t
r
o
lled
by
H
F
tec
h
niq
u
e
s
c
a
n
g
e
n
er
a
t
e
no
t
o
n
l
y
h
arm
o
n
i
cs
b
ut
a
ls
o
in
t
e
rhar
mon
i
cs
[
6
,
7]
.
S
e
ve
r
a
l
te
ch
n
i
que
s
h
a
ve
b
ee
n
m
e
nt
i
o
n
e
d
b
y
r
esea
r
c
he
r
s
t
o
c
o
mb
a
t
t
he
e
f
f
e
c
t
s
o
f
i
n
ter
h
ar
m
onic
s
[
8]
.
Th
e
mo
st
u
sed
i
s
t
o
in
st
a
l
l
pas
s
iv
e
f
ilt
ers
t
h
at
a
tt
enu
a
t
e
t
h
e
par
a
si
tic
c
ur
r
e
nts
bef
o
r
e
t
he
y
pr
opa
ga
te
i
n
t
h
e
ne
t
w
or
k.
B
ut
t
he
m
ain
d
i
sa
dva
n
t
a
g
e
o
f
t
he
se
d
ev
ices,
i
n
a
dd
i
t
i
o
n
to
r
e
s
ona
nce
the
y
a
r
e
n
o
t
a
dap
t
e
d
t
o
t
h
e
va
ria
t
i
ons
o
f
i
n
t
e
rhar
mon
i
c
s
p
ec
t
r
a
[
8
]
.
T
h
e
n
e
w
s
t
r
u
c
t
u
r
e
s
o
f
n
e
t
w
o
r
k
’
s
d
e
p
o
l
l
u
t
i
o
n
a
r
e
e
m
e
r
g
e
d
u
n
d
e
r
nam
e
a
c
ti
ve
f
i
l
ter
[
3
,
9]
.
The
ob
jec
t
i
v
e
is
t
he
n
t
o
a
d
a
pt
t
he
f
i
l
t
e
r
in
rea
l
t
i
m
e com
p
ar
ed t
o the
l
o
ads va
ria
t
i
ons.
In o
ur
w
o
r
k
,
w
e
m
a
i
nl
y
f
o
c
u
s
o
n
t
he
r
educ
ti
o
n
,
and
even
t
he
c
a
n
c
e
lla
t
i
on,
o
f
in
te
r
h
a
r
m
oni
c
s
r
es
ult
i
n
g
f
r
o
m
t
h
e
MLI
c
o
n
t
r
o
l
of
a
n
inve
r
t
er
w
hi
c
h
s
up
p
lies
a
t
h
r
e
e
-
phase
a
s
y
nc
hr
o
n
o
u
s
mot
o
r
b
y
a
p
a
ra
ll
el
a
ct
iv
e
f
ilt
er
(
FAP)
b
y
us
in
g m
u
lti-f
ilt
er
v
aria
bl
e
s
(FMV) [10-1
2
].
2.
RESOLUTIO
N
M
E
T
HOD
O
L
O
GY
2.
1.
Posit
i
on
o
f
th
e
p
r
ob
lemat
i
c
A
thr
e
e-
p
h
a
s
e
a
s
ync
hr
on
o
u
s
m
o
tor
fe
d
t
h
r
o
u
g
h
a
P
WM
i
nver
t
er
i
n
j
ec
ts
i
nt
o
t
h
e
po
w
e
r
gr
id,
in
a
d
d
iti
o
n
t
o
t
h
e
har
m
onic
c
u
r
r
e
nt
s,
a
l
ot
o
f
i
n
ter
-
har
m
onic
c
u
r
r
ent
s
t
ha
t
w
i
ll
de
for
m
t
he
f
or
m
of
t
h
e
vo
l
t
age
wave
.
2.
2.
Prop
osed
s
olu
t
ion
We
p
r
o
pose
a
sol
u
ti
on
tha
t
g
o
e
s
t
h
r
o
ugh
tw
o
m
a
in
s
tage
s.
2.
2.
1.
I
d
e
n
t
if
ic
at
i
o
n
of
i
nt
erh
arm
o
n
i
c
c
u
r
r
e
n
t
s
To
d
e
pol
l
u
te
t
he
e
lec
t
r
i
c
a
l
n
e
t
w
o
rk
o
f
the
s
e
in
ter-
harm
on
ics,
t
he
y
m
u
st
b
e
i
d
e
n
t
i
f
i
e
d
w
ith
t
he
b
es
t
pos
si
b
l
e
pr
ec
i
s
io
n
bec
a
u
se
t
h
e
q
ual
i
t
y
o
f
t
he
d
e
p
o
l
lu
tio
n
r
e
si
des
in
t
he
e
f
f
ic
ie
nc
y
of
t
he
m
e
t
h
od
use
d
f
or
t
he
ide
n
ti
f
i
ca
ti
on
o
f
t
h
e
i
n
ter
-
ha
r
m
onic
c
u
r
r
e
nts,
s
eve
r
al
m
e
t
ho
ds
h
a
ve
b
ee
n
use
d
b
y
o
t
he
r
re
sear
cher
s
such
a
s,
the
i
n
s
t
a
n
t
a
ne
o
u
s
pow
e
r
t
he
or
y
[
6
,
1
3
,
1
4
]
t
he
s
yn
ch
ro
nou
s
ref
e
re
n
c
e
th
eo
ry
[
1
5
,
1
6
]
,
t
h
e
t
h
e
o
ry
b
ased
o
n
t
h
e
ba
n
dpa
ss
f
ilter
[1
7-
19]
.
I
n
our
w
or
k,
w
e
c
hos
e
t
h
e
m
e
th
od
ca
l
l
e
d
"
g
l
o
b
al
F
MV
"
(
m
ul
t
i
-
v
aria
b
l
e
filter
)
a
s
show
n
i
n
F
i
gur
e
1
.
F
i
gur
e
1.
F
M
V
cir
c
ui
t
dia
g
r
a
m
Th
is
f
ilter
e
s
se
ntia
l
l
y
serve
s
t
o
sep
a
r
a
te
t
he
f
u
n
d
am
enta
l
c
o
m
p
o
n
e
n
t
o
f
t
he
l
oa
d
cur
r
en
t
(
f
=
5
0
H z)
of
h
ar
mon
i
c
a
n
d
in
te
r
-
h
ar
mon
i
c
c
o
m
p
one
nt
s
(
f
≠
5
0
H
z)
,
note
d
he
r
e
i
α
h
et
i
β
h
,
e
x
p
l
oi
t
i
n
g
t
he
i
nve
r
s
e
tr
a
n
sf
or
m
a
ti
on
o
f
Co
nc
o
r
d
i
a
[
1
,
2
0
]
.
In
d
e
ed
,
t
h
e
ma
t
h
e
m
a
t
i
c
al
m
od
el
o
f
t
h
e
FM
V
i
s
d
e
v
e
l
op
e
d
i
n
t
h
e
f
i
r
s
t
time
by
S
o
n
g
H
on
g-
S
c
ok,
[
9
]
t
he
r
ela
t
i
on
be
t
w
e
e
n
t
he
q
uan
t
i
t
ies
o
f
i
n
p
u
t
s
a
nd
o
utpu
ts
h
a
v
i
n
g
an
i
nt
e
g
ra
l
ef
f
ect
as
t
h
e
exp
r
e
ssion
sh
o
w
s i
t
(fo
rmu
l
a (1
))
[
21,
2
2
]
.
(s
)
=
ʃ
.
(
1
)
A
f
t
e
r
t
h
e
tr
a
n
sf
or
ma
tion
o
f
La
place
,
t
h
e (1
)
will
h
av
e th
e
fo
rm
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N: 2
0
8
8
-
86
94
I
nt
J
P
o
w
E
l
e
c
&
D
r
i
S
yst
V
o
l.
11,
N
o.
1
,
Mar
202
0
:
228
–
23
4
23
0
î
(
2
)
B
y
a
dd
ing
t
w
o
new
cons
ta
nts
k
1
a
nd
k
2
i
n
ex
pr
essio
n
(
2)
i
t
w
i
l
l
b
e
c
om
e
as
f
oll
o
w
s
î
(
3
)
Wi
th
:
w
c
:
Th
e cut
o
ff p
u
l
se
o
f
th
e
f
ilt
er;
K
i
: p
ositi
v
e
con
s
t
ants
;
i
αβ
:
T
he
i
np
u
t
c
ur
r
e
nts
o
f
t
he
F
M
V
;
î
αβ
:
The
ou
tp
ut
c
ur
r
e
nt
s
of
t
he
F
MV
;
Fo
r
H
(s)
= 0
d B,
i
t
i
s
n
e
c
e
s
s
a
r
y
t
h
a
t
:
K
1
= K
2
= K
The
n
î
î
.
î
(4
)
î
î
.
î
(
5
)
2.
2.
2.
C
omp
e
n
s
at
ion
of
i
nt
er
h
a
rmon
ic
c
u
r
ren
t
s
O
n
ce
t
he
i
n
t
er
har
m
on
ic
c
ur
r
e
nts
a
r
e
i
d
en
t
i
f
i
e
d
,
by
s
u
b
t
r
a
c
t
i
n
g
o
n
e
ac
h
a
x
i
s
(
α-
β)
t
he
o
utp
u
t
o
f
t
h
e
FM
V
a
t
i
t
s
i
n
p
u
t
(6
)
[
4
,
6
].
î
ℎ
î
ℎ
(6
)
T
h
e ref
e
re
n
c
e in
t
e
rh
armo
n
i
c c
u
rre
n
t
s
(i
c
_
re
f1,
2
,
3
)
a
r
e
ob
ta
ine
d
fr
o
m
t
h
e
in
ver
s
e
tra
n
sf
orm
a
tio
n
of
C
o
n
cor
d
i
a
_
_
_
=
10
1/2
√
3
/ 2
1/2
√
3
/
2
(
7
)
The
s
e
r
e
f
e
r
e
n
ce
c
u
r
r
e
nts
ar
e
use
d
t
o
c
o
n
t
r
o
l
the
vol
ta
g
e
i
nver
t
e
r
a
s
show
n
in
F
i
g
ur
e
2.
T
he
o
p
e
r
a
t
i
n
g
pr
inc
i
p
l
e
of
t
he
par
alle
l ac
tive
fi
l
t
er
i
s
exp
l
ai
n
e
d
in
t
he f
ol
lowi
ng
se
c
ti
on
.
F
i
gur
e
2.
A
lgo
r
it
hm
f
or
i
de
n
t
i
f
y
i
ng
i
n
ter
-
har
m
onic
cur
r
e
n
t
s
3.
PRINCIPLE
O
F
FUNCTIONI
N
G
O
F
A
PAR
ALLEL
ACTI
V
E
FI
LTE
R
(FAP)
Ou
r
p
a
ral
l
el
a
c
t
iv
e
fil
t
er
(
FA
P)
i
s
a
v
o
l
t
a
g
e
i
n
v
e
rt
e
r
w
i
t
h
M
L
I
;
it
i
s
co
n
n
ec
t
e
d
i
n
p
a
r
a
l
lel
wi
t
h
t
he
po
l
l
u
t
e
d
l
oa
d
as
s
h
o
w
n
i
n
F
i
gur
e
3.
T
he
c
o
n
tr
o
l
-
c
om
m
a
nd
pa
r
t
i
s
m
ainl
y
base
d
on
t
he
a
l
g
or
i
t
h
m
for
ide
n
ti
fyi
n
g
t
h
e
in
t
e
r-ha
r
monic
c
u
r
r
en
ts
a
ssoc
iate
d
w
i
t
h
t
he
P
WM
a
l
g
o
r
i
t
h
m
[
7
,
1
8
,
19
]
.
B
o
t
h
of
t
he
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t
J
P
o
w
Elec
&
D
r
i
S
y
st
I
S
S
N
:
2088-
86
94
Elimination of inter
h
ar
monic c
u
rre
n
ts by
a FAP
using
the
te
chnique
…
(Mohame
d
A
li M
ous
sa)
23
1
a
l
g
o
r
i
t
h
m
s
c
o
n
t
r
i
bu
t
e
t
o
the
gene
r
a
ti
o
n
o
f
fi
l
t
er
c
o
n
t
r
ol
s
ig
na
ls.
The
r
e
gula
t
i
o
n
of
t
h
e
D
C
bus
v
o
l
t
a
ge
i
s
gua
r
a
ntee
d
by
t
he
c
l
a
ssic
a
l
P
r
opor
tio
na
l-
I
n
t
e
gr
al
(
P
I
)
co
ntr
o
l
l
er
.
The
a
c
tive
fi
lt
e
r
p
r
o
duce
s
i
nter
-har
m
onic
cu
rren
t
s
whi
c
h
are
i
n
j
e
ct
ed
i
nt
o
th
e
e
l
e
c
t
r
i
cal
n
e
t
wo
rk
o
f
the
sa
me
a
mp
l
i
tud
e
but
i
n
opp
osit
ion
ph
a
s
e
wit
h
t
h
e
in
ter
-
har
m
on
ic
c
ur
r
e
nts
ca
us
ed
b
y
t
h
e
loa
d
;
t
h
is
a
l
l
ow
s
t
o
e
l
i
m
ina
t
e
th
e
p
o
l
l
u
t
i
n
g
in
t
e
r
-
har
m
onics
a
nd
t
o
ob
ta
in
t
he
r
et
u
r
n
for
the
f
o
rm
o
f
l
i
nea
r
c
urr
e
nt.
Reac
t
i
ng
q
u
ic
k
l
y,
t
he
a
c
t
i
v
e
f
i
lter
im
pr
o
v
es
t
he
q
ual
ity
o
f
t
h
e
ne
t
w
or
k
p
o
w
e
r
supp
l
y
i
n
r
e
al tim
e
f
o
r
l
i
m
i
t
i
n
g
the
dam
a
g
e
s
[
1
0
,
23-
2
5
]
.
F
i
gur
e
3.
Pri
n
ci
pl
e fu
n
c
ti
on
of
t
h
e
p
a
ra
ll
e
l
a
ct
iv
e fi
lt
e
r
4.
THE AN
AL
YS
IS
O
F
RES
U
LT
S
4
.
1
.
So
u
r
ce
curren
t
befo
re
f
iltering
We
n
o
t
e
tha
t
our
c
har
g
e
ca
use
s
a
s
i
g
n
i
f
i
ca
nt
d
e
g
r
a
da
tion
on
t
h
e
w
a
v
ef
or
m
of
t
he
c
ur
r
e
nt
b
y
ge
ner
a
t
i
n
g
h
ar
m
oni
c
s
a
nd
in
te
r
-
h
a
r
m
o
n
i
c
s
o
f
d
i
f
f
er
en
t
f
r
e
q
u
e
n
c
i
es
;
th
is
d
egra
da
ti
o
n
i
s
t
r
a
n
sla
t
e
d
b
y
a
hi
g
h
TH
D
is
w
or
t
h
29.
5
2
%.
O
n
t
h
e
o
t
her
han
d
,
t
he
p
r
o
l
i
f
e
r
a
tio
n
of
s
u
c
h
a
p
o
llu
te
d
curr
ent
i
n
t
he
e
le
c
t
rica
l
ne
t
w
or
k
ha
s
a
detr
im
enta
l
ef
f
ect
o
n
t
h
e
for
m
o
f
the
vo
lta
ge
,
he
nc
e
t
h
e
n
eed
t
o
red
u
c
e
t
he
T
HD
to
acc
epta
b
l
e
va
lue
s
.
F
i
g
u
r
e
4
t
o
F
i
g
u
r
e
6
show
t
he
s
ou
r
c
e
cur
r
ent
be
for
e
f
il
ter
i
ng,
s
our
c
e
c
ur
r
e
nt
s
pec
t
r
u
m
be
f
o
r
e
fi
l
t
e
r
in
g,
a
nd
t
h
e
int
e
r
h
a
r
m
onic
c
u
r
r
e
nt.
F
i
gur
e
4.
S
our
ce
c
ur
r
e
nt
b
ef
o
r
e
f
i
lter
i
n
g
F
i
gur
e
5.
S
ou
r
c
e
cur
r
ent
spe
c
t
r
u
m
bef
o
r
e
f
i
l
t
e
r
i
n
g
F
i
gur
e
6.
In
terh
armo
nic
cu
rren
t
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N: 2
0
8
8
-
86
94
I
nt
J
P
o
w
E
l
e
c
&
D
r
i
S
yst
V
o
l.
11,
N
o.
1
,
Mar
202
0
:
228
–
23
4
23
2
4
.
2
So
u
r
ce
c
u
r
r
e
n
t
a
f
t
e
r
f
i
l
t
e
r
i
ng
A
f
t
e
r
t
h
e
f
i
l
t
e
r
i
n
g
,
t
h
e
T
H
D
b
e
c
o
m
e
s
0
.
8
2
%
,
t
h
e
h
a
r
m
o
n
i
c
s
a
n
d
i
n
t
e
r
har
m
onics
t
o
ok
mi
nim
u
m
va
lue
s
a
s
sh
ow
n
i
n
F
ig
ur
e
8,
w
hic
h
c
onf
i
r
ms
t
he
e
f
f
icie
nc
y
of
t
he
t
ec
h
n
i
que
u
se
d.
F
igu
r
e
7
show
s
t
h
e
sour
c
e
cu
rren
t
a
fter fi
l
terin
g
.
Figure
7.
S
ourc
e
c
urre
nt after
f
ilte
ri
n
g
F
i
gur
e
8.
T
he
s
our
c
e
c
ur
r
e
nt
s
pec
t
r
u
m
afte
r
f
i
l
t
er
i
n
g
5
.
CONCLU
S
ION
I
n
t
h
i
s
pa
per
w
e
h
ave
p
u
t
i
n
p
l
ac
e
a
m
e
th
od
tha
t
a
l
l
ow
e
d
u
s
t
o
c
l
ean
u
p
th
e
el
e
c
t
r
i
cal
n
et
wo
rk
o
f
ha
r
m
onic
s
a
nd
i
nter
har
m
onic
s
g
e
n
er
ate
d
b
y
a
t
h
r
e
e
-
pha
se
a
sy
nc
hr
o
n
o
u
s
m
otor
s
c
o
ntr
o
l
l
e
d
b
y
H
F
t
ec
h
n
i
q
ue
s
(
i
nc
l
u
d
i
n
g
M
L
I
).
T
he
r
esu
lts
o
f
o
u
r
stu
dy
c
a
n
be
s
umm
a
r
i
z
e
d
in
th
e
foll
o
w
in
g
poi
nt
s:
The
use
of
a
p
a
r
alle
l
a
c
ti
ve
f
ilter
e
m
plo
y
i
n
g
a
m
ul
ti-va
ria
b
le
f
i
l
t
e
r
wi
th
t
he
t
e
c
hn
i
que
o
f
g
l
o
b
a
l
e
xtr
a
c
t
i
on
of
h
ar
mon
i
c
s
a
n
d
in
terha
r
m
o
n
i
c
s
,
which
a
l
lows
u
s
t
o
d
e
p
ol
l
u
te
t
he
a
lm
ost
e
l
ec
t
r
i
c
a
l
ne
tw
o
r
k
fr
om
a
ll
k
i
n
d
o
f
pa
r
a
si
te;
The
F
M
V
ide
n
t
i
fi
c
a
ti
on
me
t
h
o
d
i
s
ver
y
e
ffec
t
i
v
e
for
ex
trac
t
i
n
g
r
efe
r
e
nc
e
i
n
t
e
r
h
a
r
monic
s
a
nd
ea
sy
t
o
im
ple
m
e
n
t;
T
h
e
FM
V
t
echn
i
q
u
e
us
i
n
g
th
e
com
p
ensa
t
i
o
n
g
l
oba
l
al
l
o
w
s
u
s
t
o
c
om
p
l
e
t
el
y
c
o
m
p
ensa
t
e
t
he
i
n
t
e
r
har
m
onic
s
of
t
he
n
e
t
w
o
r
k
.
REFERE
NC
E
S
[1]
A.
T
esta,
M.
F
.
Ak
ram,
R
.
B
u
rch
,
G
.
Carpinel
li,
G
.
Ch
ang
,
et
a
l
.
,
“
I
nterh
a
rm
onics:
Th
eory
a
nd
M
od
elin
g
,
I
EEE
T
a
sk
F
orce o
n
Harm
oni
cs M
o
d
elin
g
an
d
Si
m
u
l
a
tion,
”
IEE
E
Tr
an
sact
io
ns on
Po
we
r D
e
li
very
,
Vo
l.
2
2
, No
4
,
20
0
7
.
[2
]
H
.
A
tria,
“E
v
a
l
u
ati
o
n
of
s
el
ect
i
v
e
harmo
n
ic
e
limin
ation
pu
ls
e
w
i
d
th
m
o
dulation
technique
f
or
u
n
i
po
l
a
r
s
i
ngle
-
faze
H
-
b
r
i
d
g
e
i
n
v
e
r
t
e
r
:
c
o
m
p
a
r
a
t
i
v
e
s
t
u
d
y
,”
In
ter
n
at
io
nal Jou
r
na
l of
P
o
we
r El
ectr
o
ni
cs and Dr
i
ve
S
y
st
em
(IJP
E
D
S)
,
V
o
l
.
9, No
.
3, 20
18.
[3]
P
a
b
l
o
A
r
a
v
ena,
L
uis
Mo
rán,
J
u
a
n
D
i
xo
n,
a
n
d
G
eza
Jo
os,
“
A
cti
v
e
C
om
pen
s
ation
of
S
ub
an
d
Interh
arm
o
n
i
cs
i
n
Cyc
l
o
c
on
ve
rte
r-Fe
d
G
rind
in
g
M
i
ll
Dr
i
ve
s,”
IE
EE
,
2
010
.
[4
]
K. Sel
vaku
mar
1
,
et
a
l
.
,
“H
y
s
te
re
sis
C
ontrol 3-L
evel SI-NPC
I
nver
ter wi
th Wind Energy S
yst
e
m
,”
I
n
te
rn
at
i
o
n
a
l
Jou
r
nal
of
Po
wer
E
l
ectr
o
n
i
c
s
and
D
r
ive S
y
st
em (IJ
PE
D
S
)
,
V
o
l. 8, No. 4,
pp. 1764-1770, 2017.
[5]
B.
G
eet
hal
a
kshm
i,
K
.
Bab
u
,
an
d
S
.
S
ant
h
o
s
h
m
a,
“
An
a
l
y
s
i
s
o
f
inte
rharm
o
nics
i
n
con
v
en
ti
onal
an
d
m
a
trix
c
o
n
v
e
rter
f
e
d
adj
u
s
t
ab
l
e
speed
d
riv
e
s,”
2012
IEEE 5t
h
India
Inter
nati
o
n
a
l Con
f
eren
ce on
Power
Elect
ro
n
i
cs
(
IICPE),
20
1
2
.
[6]
Jing
Y
on
g,
T
.
T
a
yja
s
a
n
a
n
t,
W
i
l
s
u
n
Xu,
a
n
d
Ca
ix
in
S
un
,
“Cha
ra
c
t
e
rizi
ng
V
o
lt
age
F
l
u
c
tu
a
tio
n
s
C
au
sed
b
y
a
P
a
i
r
o
f
Interharmoni
cs,”
IEEE Trans
a
ct
ions on Power
De
l
i
ver
y
, Vo
l
.
2
3
,
N
o
. 1
, 20
0
7
.
[7]
B.
G
eet
hal
a
kshm
i
and
S
.
S
iv
ajanan
i,
“
Elimi
n
at
io
n
o
f
i
n
t
erharm
on
ics
i
n
v
ari
a
ble
sp
eed
d
ri
ve
s,
”
International
Co
nf
e
r
ence o
n
Adva
nces
in
En
g
i
neer
ing
,
S
c
ience
an
d
M
ana
gem
e
nt
(
I
CAESM),
pp.
8
0
4
-8
09
,
20
12
.
[8]
A
.
C
hebab
h
i
,
F
e
l
l
a
h,
M
-K.
Kessal
A
.,
B
enk
horis,
M
-
F.
“
Th
e
p
q0
t
h
e
o
r
y
with
m
u
l
ti
v
ariable
fil
t
er
a
n
d
f
uzzy
l
ogic
co
nt
rol
f
o
r
a
f
our
l
eg
s
hu
n
t
acti
v
e
p
o
wer
fi
lt
er
c
om
pen
s
at
ed
b
y
t
hree
di
m
e
nsi
o
n
a
l
s
p
ace
vect
or
m
o
d
u
l
ati
o
n
un
der
un
ba
la
n
c
e
d
loa
d
s
,”
E
ngi
neer
in
g
,
Vo
l
.
1,
No
. 15
,
p
p.3
2
-3
9, 2
01
5
.
[9]
S
a
n
d
eep
kum
ar
a
n
d
V
enu
m
a
dh
av
,
“
P
ow
er
q
u
a
li
ty
i
m
p
ro
vem
e
n
t
w
ith
a
s
hun
t
act
iv
e
po
wer
f
i
lters
us
in
g
m
a
tlab
/
si
mul
i
nk
,”
I
n
t
ern
a
t
i
o
n
a
l
Jo
ur
nal of
In
nova
t
i
ve R
e
sear
ch in
E
l
e
c
tr
ical,
El
ectr
onics,
In
str
u
m
e
nt
a
t
ion
a
n
d
Co
ntrol
E
n
g
i
neer
in
g
(
I
JR
IT
CC),
Vo
l
.
3
, No
.
1
,
2
0
1
5
.
[10]
H
s
i
ung
Ch
eng
Lin
,
“
P
o
wer
H
a
rm
on
ics
and
In
terh
armo
ni
cs
M
easurem
e
n
t
U
s
i
ng
Recu
rsi
v
e
Group-H
a
rm
oni
c
P
o
we
r
M
i
n
i
m
i
zin
g
A
lgori
t
hm,
”
IEE
E
Tr
an
sactio
ns on
Ind
u
s
t
rial
Elect
ronics
,
Vo
l.
5
9,
No
.
2
,
pp
. 1
18
4-1
1
93
,
2
0
1
2
.
[11]
J
a
i
n
,
S
.
K
.
a
n
d
S
i
n
g
h
,
S
.
N
.
,
“
E
x
a
c
t
M
o
d
e
l
O
r
d
e
r
E
S
P
R
I
T
T
e
c
h
n
i
q
u
e
f
o
r
H
a
r
m
o
n
i
c
s
a
n
d
I
n
t
e
r
h
a
r
m
o
n
i
c
s
Es
ti
ma
t
i
o
n
,
”
IEEE
Tran
sa
cti
o
n
s
o
n
In
st
rument
a
tio
n a
nd
M
e
a
s
u
r
emen
t,
Vo
l.
61
, N
o. 7
, p
p.
19
1
5
–
1
9
2
3
, 20
1
2
.
[12]
J
i
n
Hui,
W
ils
un
X
u
,
and
H
o
n
gge
n
g
Y
an
g,
“
A
M
e
th
od
t
o
Determ
i
n
e
t
h
e
E
xisten
ce
o
f
G
en
ui
ne
i
n
t
erharm
o
n
ic
s
,
”
IEE
E
Tran
sac
t
io
ns on
Po
we
r
De
liv
e
r
y
,
Vol.
2
7
,
p
p
.
1
69
0-16
92
,
201
2.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t
J
P
o
w
Elec
&
D
r
i
S
y
st
I
S
S
N
:
2088-
86
94
Elimination of inter
h
ar
monic c
u
rre
n
ts by
a FAP
using
the
te
chnique
…
(Mohame
d
A
li M
ous
sa)
23
3
[13]
L
a
ng
e
l
la,
R.,
T
e
st
a,
Alf
redo
,
Emanuel
,
A
.E.
,
“
U
nbal
a
nce D
e
f
i
nit
ion
f
o
r Elect
rical P
ow
er S
ys
te
m
s
in
th
e P
r
esen
ce
o
f
H
a
rmoni
c
s
and
Interharmoni
cs
,”
IEEE Transacti
o
ns
on Instr
u
me
nt
at
i
o
n and
M
e
as
urement,
V
o
l
.
61,
N
o.
1
0
,
pp
.
2
6
2
2
–
26
31
,
20
12
.
[14]
Ho
osh
y
ar,
A.
,
Azzo
uz,
M.A.
,
El
-S
aadan
y
,
E
.F
.,
“Add
ress
i
n
g
I
E
C
F
l
i
ck
ermet
e
r
D
e
fi
cien
cies
b
y
Di
g
i
ta
l
Fil
t
ra
t
i
on
In
si
de
a
S
lid
i
ng
Wi
nd
ow,
”
IEEE T
r
ans
ac
t
i
o
n
s
on
Ins
t
ru
men
t
ation
and
M
e
a
s
u
r
e
m
ent,
Vol.
6
2.
N
o.
9
,
p
p
.
24
76
–
24
91
, 20
1
3
[15]
Ch
eng
-
I
Chen
a
nd
Y
eo
ng
-Chi
n
Ch
en,
“
C
o
m
parat
i
ve
S
tu
dy
o
f
Ha
rm
on
i
c
a
n
d
Int
e
rh
arm
o
n
i
c
E
s
t
i
m
a
t
i
on
M
e
t
hod
s
f
o
r
S
t
ati
onary
a
nd
T
im
e-Vary
in
g
Si
g
n
als
,
”
IEEE Transa
c
ti
ons
o
n
In
d
u
st
ri
a
l
El
ectr
onics,
Vol.
61,
N
o
.
1
,
pp
.
39
7
–
4
0
4
,
20
14
.
[16]
Sa
ng
-
W
oo
k
Soh
n
,
Yo
un
g
-
Bin
L
i
m
,
J
a
e
-
Jun
Yu
n,
H
un
C
ho
i,
a
n
d
Hye
o
n
-Deok
Bae,
“
A
F
i
lter
Bank
and
a
S
e
lf-
T
u
n
i
ng
A
d
a
p
t
iv
e
F
i
lt
er
f
o
r
t
he
H
arm
o
n
i
c
and
Interh
arm
oni
c
Estim
ation
i
n
P
o
w
er
S
i
g
nals,”
IE
EE Tran
sa
c
t
io
n
s
on
Instru
me
n
t
a
t
ion
an
d
Me
asu
r
e
m
e
n
t
,
Vo
l
.
6
,
N
o
.
1 ,
p
p.
64
–
7
3
,
20
1
2
.
[17]
Yap
Hoon,
M
.
Am
ran
M
ohd
R
adz
i
,
M.
K
h
a
i
r
H
a
s
s
a
n,
a
nd
N
.
Fa
rz
il
ah
M
a
ila
h,
“
Co
n
t
ro
l
A
l
go
r
i
t
h
m
s
o
f
S
h
un
t
Ac
ti
ve
P
ower
F
il
te
r
for
Ha
rmo
n
ics
Mi
ti
ga
ti
on
,
”
En
ergie
s
,
201
8
.
[18]
Jo
sé
L
u
i
s
M
o
n
r
oy
-Mora
l
e
s
,
Da
vid
Ca
mpo
s
-
G
a
o
na
,
Má
ximo
H
e
r
n
á
nd
ez
-
Án
gel
e
s,
R
af
ael
P
eña-Al
zol
a
a
nd
J
o
s
é
Le
o
n
a
r
do
G
ua
rd
a
d
o
-
Za
va
la
,
“
An
A
ctive
P
o
wer
Filter
B
ase
d
on
a
Th
ree
-
L
e
vel
Invert
e
r
a
nd
3D-S
VPWM
f
or
Selec
tive
Ha
rm
onic
a
nd Rea
c
ti
v
e
C
om
pe
ns
a
t
ion,”
E
n
er
gi
es
,
20
1
7
.
[19]
S
i
ng
h
,
B
him;
A
l-Had
d
ad
,
K.;
Chand
r
a,
A
.,
“
A
revi
ew
o
f
acti
v
e
fi
lters
f
or
p
ow
er
q
uali
ty
i
mprovement
,”
IE
E
E
T
r
an
sactio
ns
on
Ind
u
s
t
rial E
l
ectron
i
cs
,
V
o
l.
46,
N
o
.
5
,
pp.
9
60
-971,
1
99
9.
[20]
A.b
e
n
a
b
de
lka
d
e
r
O
.
Ab
de
lk
ha
le
k
a
n
d
A.
A
lla
l
i
,
“
Ex
pe
ri
me
nta
l
V
a
l
i
datio
n
of
S
ing
l
e
P
h
ase
S
e
ri
es
A
ctiv
e
P
o
we
r
F
ilt
er
U
si
ng
F
u
zzy
C
on
trol
T
ech
niq
u
e,”
In
tern
a
t
io
na
l Jou
r
n
a
l of
Po
wer El
ectr
onics a
n
d
D
r
i
ve
S
y
st
ems
(
I
JPEDS)
,
Vo
l
.
9
, No
. 2
, p
p
. 59
1
-6
01
,
20
18
.
[21]
D
.
M
.
S
o
o
m
r
o
,
S
.
C
.
C
h
o
n
g
,
Z
.
A
.
M
e
m
o
n
,
F
.
A
b
b
a
s
i
,
“
P
o
w
e
r
Q
u
a
l
i
ty
I
m
p
rov
e
ment
i
n
Q
U
CEST
L
arkan
a
C
am
pu
s
b
y
U
sing
T
hree
Typ
e
s
o
f
P
ow
e
r
F
il
ters
”,
In
ter
natio
na
l Jou
r
na
l of
P
o
wer
El
ectr
o
n
i
cs
an
d Drive Syst
ems
(
I
JPEDS)
,
Vo
l
.
8
, No
. 4
, pp
. 18
7
6
-
18
8
5
,
20
17
.
[22]
T
h
i
r
u
m
oo
rth
i
,
P
an
d
T
D,
R
ah
eni
,
“
A
d
aptiv
e
Met
hod
f
o
r
P
ow
er
Q
ua
l
i
ty
I
m
p
rovemen
t
t
h
r
oug
h
M
i
nimizatio
n
o
f
H
a
rmo
n
i
c
s
U
s
i
n
g
A
r
tifi
cia
l
I
nt
ellig
ence,”
In
te
rn
at
io
na
l J
o
urna
l o
f
Po
we
r E
l
e
c
t
r
o
n
ics and
D
r
i
v
e Sys
t
ems
(
I
JPEDS)
,
Vo
l.
8
, No
. 1
, pp
. 47
0
-4
82
,
20
17
.
[23]
S.
Q
in
,
et al.
,
“A
h
i
gh
p
o
w
e
r
dens
it
y
s
e
ri
es-sta
ck
ed
e
ne
rg
y
bu
ff
er
f
or
p
o
w
er
puls
a
ti
on
d
ecou
p
lin
g
i
n
si
ngle
ph
ase
co
nv
erters,”
IEEE
T
r
a
n
s
a
c
t
io
n
s
on
Po
wer Electron
i
cs
,
Vo
l. 3
2,
N
o
.
6
, 20
1
7
.
[24]
A
.
U
.
Law
a
n,
“
S
t
at
e
F
eed
back
A
ppro
aches
f
o
r
D
esig
n
i
ng
a
S
tat
c
om
S
upp
l
e
m
e
n
tary
C
ont
r
o
l
l
e
r
for
O
s
cill
a
t
i
ons
Da
mp
ing
,
”
In
t. J
.
En
g.
Sc
i.
, Vol
.
3, No
.
7
, pp
.
2
7–
37
, 20
1
4
.
[25]
M
.
Zhan
g
,
L.
Huang
,
W.
Y
ao
,
an
d
Z
.
L
u
,
“
Circulati
n
g
harm
o
n
i
c
c
u
rrent
e
l
i
min
a
ti
o
n
o
f
a
CP
S
-
PWM
-
bas
e
d
m
o
du
lar
mul
tilevel
convert
e
r
wi
t
h
a
p
lu
g-i
n
r
epet
i
t
i
v
e
control
l
er,”
IEEE
Tr
ans. Power
E
l
ectr
o
n
.,
V
ol.
29
,
No
.
4,
p
p
.
2
0
83–
20
97
, 20
1
4
.
BIOGRAPHI
E
S
OF
AUT
HORS
M
o
ham
e
d
A
L
I
M
O
USS
A
i
s
a
teach
er
r
ese
a
rch
e
r
i
n
C
h
l
e
f
U
ni
v
e
rs
ity
(A
l
g
eri
a
);
h
e
re
ceiv
e
d
h
i
s
E
ngin
eer’s
D
egree
i
n
E
l
ectrical
E
ngin
eering
in
199
7
f
r
om
t
h
e
Univ
ersity
o
f
L
a
gh
ou
at
(A
lgeri
a
).
H
e
d
e
f
e
n
d
ed
h
is
M
agist
e
r
deg
r
ee
i
n
e
l
ectri
cal
e
n
g
i
n
e
erin
g
in
2
013
at
t
h
e
U
ni
vers
it
y
of
K
h
e
m
i
s-
Mlia
n
a
(
Alge
ria
)
.
He
i
s
no
w
p
r
e
p
a
r
in
g
h
i
s
do
c
t
ora
t
e
a
t
the
U
n
i
v
ers
i
ty
o
f
S
c
i
e
nce
an
d
Techn
o
l
o
g
y
o
f
O
r
an
(
Aleri
a
).
H
is
a
rea
of
s
c
i
en
tific
i
nteres
t
is
t
he
s
tudy
o
f
inte
rharmoni
cs
i
n
t
he el
ectri
cal n
etwo
rk. E-m
ail
:
m
o
h
am
ed
.a
lim
o
u
ssa@
uni
v-u
s
t
o
.
dz
P
r
o
f
esso
r
Bachir
B
ELMADAN
I
receiv
e
d
th
e
B.S.
d
eg
ree
in
E
lectric
al
E
ngin
eering
f
r
o
m
t
he
M
o
ham
e
d
Bou
d
iaf
Univ
ers
i
t
y
o
f
S
c
ience
and
T
e
c
h
no
lo
gy
,
O
r
an,
Al
g
eria,
in
1
98
5,
a
nd
t
he
P
h
D
deg
r
ee
f
r
om
t
h
e
P
a
u
l
S
a
b
a
ti
e
r
U
n
i
vers
ity
o
f
T
ou
louse,
F
ranc
e,
i
n
19
89
.
He
i
s
curren
t
l
y
P
r
o
f
esso
r
o
f
P
o
w
er
E
lect
ronics
i
n
Chl
e
f
Un
i
v
ersit
y
,
O
u
led
F
a
res
,
Al
geri
a.
H
e
is
t
h
e
D
irect
or
of
t
he
L
a
b
o
r
a
t
ory
of
E
le
c
t
r
i
c
a
l
Eng
i
n
e
e
r
ing
a
n
d
R
e
ne
wa
ble
En
erg
y
and
th
e
Vi
ce
Recto
r
f
or
ex
ternal
r
elat
io
n
s
w
it
h
Ch
le
f
Uni
v
ersity
.
H
i
s
res
earch
i
nteres
t
s
in
clu
d
e
po
wer
el
ectron
i
cs
,
el
ectrical
d
ri
ves
and
renewab
l
e
e
n
ergi
e
s
.
H
e
h
as
a
ut
hored
s
ev
er
al
i
nt
ern
a
ti
on
al
p
u
b
licatio
ns.
H
i
s curren
t
r
es
ea
rch
i
n
t
e
res
t
s
in
c
l
u
d
e pow
er elect
ron
i
cs,
th
erm
a
l
a
n
d
n
o
n
-
t
h
e
r
m
al
p
l
a
s
m
a
s
a
n
d
t
h
eir
applicatio
n
s
,
m
o
d
e
li
ng
a
nd
sim
u
latio
n
of
c
on
vert
ers,
f
i
e
l
d-prog
ram
m
able
g
ate
a
rray
,
D
S
P,
a
nd
intel
ligen
t
c
o
n
trol.
E
-m
ail:
b
elmad
a
ni
bachi
r
@g
mai
l
.c
o
m
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N: 2
0
8
8
-
86
94
I
nt
J
P
o
w
E
l
e
c
&
D
r
i
S
yst
V
o
l.
11,
N
o.
1
,
Mar
202
0
:
228
–
23
4
23
4
P
r
o
f
esso
r Ahm
e
d W
a
hi
d BE
LARBI was bo
rn i
n
1
9
6
5
.H
e receiv
e
d t
h
e
B.E d
e
gree i
n
el
ectri
cal
en
gi
neerin
g
f
r
o
m
U
n
i
vers
it
y
o
f
S
ci
ence
and
T
echno
lo
gy
o
f
O
r
an
i
n
19
89
,
the
P
h
D
d
e
gree
f
r
om
P
aul
Saba
t
i
er
U
n
i
vers
i
t
y
,
T
oulou
s
e
III,
F
r
e
nch,
i
n
1994.H
e
w
o
r
k
s
a
t
U
n
i
v
e
r
s
i
t
y
o
f
S
c
i
e
nce
and
T
e
chno
lo
gy
o
f
Oran,
A
l
g
e
ria
si
nce
19
96
;
he
i
s
a
p
r
o
f
e
s
s
o
r
o
f
t
h
e
F
acul
t
y
of
E
l
ectri
cal
E
n
g
ineerin
g
and
head
o
f
research
t
eam
a
t
Ap
plied
Pow
er
E
lect
ro
n
i
c
L
a
bo
ra
t
o
ry
.
H
i
s research
i
nt
e
r
est
s
. E-m
a
il: Ba
w
_
d
z
@yah
oo
.com
P
r
o
f
esso
r
Rachi
d
T
A
L
EB
r
eceiv
e
d
t
h
e
M
.
S
.
d
egree
i
n
e
lectri
cal
e
ngi
neeri
n
g
f
r
o
m
t
h
e
H
as
si
ba
B
e
nb
o
u
a
l
i
U
n
i
v
e
r
si
ty
,
C
h
l
e
f
,
A
l
g
e
r
ia
,
i
n
2
00
4
a
n
d
th
e
P
h
.D
.
de
g
ree
in
e
lectri
cal
e
ng
in
eerin
g
f
r
om
t
he
D
ji
llali
Liabes
U
n
i
ver
s
i
t
y,
S
idi
Bel
-
A
b
bes,
A
l
g
eri
a
,
i
n
2011.
Currently
h
e
is
a
p
r
of
ess
o
r
w
i
th
t
he
D
epartm
en
t
of
E
lect
rical
E
n
g
ineerin
g,
H
as
sib
a
Ben
b
o
u
ali
U
n
iversi
ty.
H
e
i
s
a
t
eam
l
eader
i
n
t
h
e
L
G
E
E
R
L
a
borat
ory
(Lab
orato
i
re
G
é
n
i
e
E
l
e
ct
r
iq
ue
e
t
En
erg
i
es
Ren
ouv
elab
les
)
.
His
research
i
nt
erest
incl
ud
es
i
ntelli
gen
t
c
on
t
ro
l,
h
euristi
c
o
p
timizati
on,
co
nt
ro
l
t
h
eory
o
f
conv
erters
a
n
d
c
on
verters
f
o
r
renewab
l
e
energ
y
so
urces.
E
-
m
a
il
:
rac.t
a
leb
@
gm
ail.co
m
Evaluation Warning : The document was created with Spire.PDF for Python.