I
nte
rna
t
io
na
l J
o
urna
l o
f
P
o
wer
E
lect
ro
nics
a
nd
Driv
e
S
y
s
t
em
s
(
I
J
P
E
DS)
Vo
l.
1
5
,
No
.
4
,
Dec
em
b
er
2
0
2
4
,
p
p
.
2
4
3
5
~
2
4
4
2
I
SS
N:
2
0
8
8
-
8
6
9
4
,
DOI
: 1
0
.
1
1
5
9
1
/ijp
ed
s
.
v
1
5
.
i4
.
p
p
2
4
3
5
-
2
4
4
2
2435
J
o
ur
na
l ho
m
ep
a
g
e
:
h
ttp
:
//ij
p
e
d
s
.
ia
esco
r
e.
co
m
Self
-
a
da
ptabili
ty
pa
ra
llel activ
e f
il
t
er t
o
loa
d va
ria
tions
study
Ahm
ed
Der
ro
ua
zin
1
,
M
o
ha
m
ed
Ali Mo
us
s
a
1
,
B
a
ch
ir
M
o
k
hta
ri
2
1
El
e
c
t
r
i
c
a
l
E
n
g
i
n
e
e
r
i
n
g
a
n
d
R
e
n
e
w
a
b
l
e
E
n
e
r
g
y
La
b
o
r
a
t
o
r
y
(
LG
EE
R
)
,
U
n
i
v
e
r
si
t
y
o
f
C
h
l
e
f
,
C
h
l
e
f
,
A
l
g
e
r
i
a
2
S
t
u
d
y
a
n
d
D
e
v
e
l
o
p
m
e
n
t
o
f
S
e
m
i
c
o
n
d
u
c
t
o
r
a
n
d
D
i
e
l
e
c
t
r
i
c
M
a
t
e
r
i
a
l
s
La
b
o
r
a
t
o
r
y
(
LED
M
A
S
D
)
,
U
n
i
v
e
r
si
t
y
o
f
L
a
g
h
o
u
a
t
,
La
g
h
o
u
a
t
,
A
l
g
e
r
i
a
Art
icle
I
nfo
AB
S
T
RAC
T
A
r
ticle
his
to
r
y:
R
ec
eiv
ed
No
v
1
7
,
2
0
2
3
R
ev
is
ed
Ma
r
2
4
,
2
0
2
4
Acc
ep
ted
Ma
r
2
8
,
2
0
2
4
Du
e
to
t
h
e
in
c
re
a
sin
g
u
se
o
f
p
o
we
r
e
lec
tro
n
ics
e
q
u
i
p
m
e
n
t,
t
h
e
q
u
a
li
t
y
o
f
e
n
e
rg
y
i
n
th
e
e
lec
tri
c
a
l
n
e
two
rk
is
d
e
terio
ra
ti
n
g
s
h
a
rp
l
y
.
I
n
d
e
e
d
,
t
h
is
e
q
u
ip
m
e
n
t
c
o
n
s
u
m
e
s
n
o
n
-
sin
u
so
i
d
a
l
c
u
rre
n
ts,
e
v
e
n
if
t
h
e
y
a
re
p
o
we
re
d
b
y
a
sin
u
so
i
d
a
l
v
o
lt
a
g
e
,
a
n
d
b
e
h
a
v
e
s
li
k
e
g
e
n
e
ra
to
rs
o
f
h
a
rm
o
n
ic
c
u
rre
n
ts.
To
"
c
lea
n
u
p
"
t
h
e
n
e
two
r
k
,
th
e
re
a
re
se
v
e
ra
l
m
e
a
n
s,
a
m
o
n
g
th
e
m
;
th
e
p
a
ra
ll
e
l
a
c
ti
v
e
fil
ter
(P
AF)
wh
ic
h
is
th
e
m
o
st
u
se
d
m
e
a
n
s
b
e
c
a
u
se
it
h
a
s
p
ro
v
e
n
it
s
e
ffe
c
ti
v
e
n
e
ss
fo
r
th
e
e
li
m
in
a
ti
o
n
o
f
h
a
rm
o
n
ics
c
a
u
se
d
b
y
a
n
o
n
-
li
n
e
a
r
lo
a
d
.
Ho
we
v
e
r,
th
is
P
A
F
m
u
st
p
r
o
v
e
it
s
e
ffe
c
ti
v
e
n
e
ss
c
o
n
sta
n
tl
y
,
b
e
c
a
u
se
th
e
u
n
e
x
p
e
c
ted
v
a
riatio
n
o
f
th
e
l
o
a
d
s
su
p
p
l
ied
b
y
t
h
e
e
lec
tri
c
a
l
n
e
two
rk
c
a
n
c
a
ll
in
to
q
u
e
stio
n
i
ts
e
ffe
c
ti
v
e
n
e
ss
.
Th
e
m
a
in
o
b
jec
ti
v
e
o
f
th
is
wo
rk
is
t
o
c
o
n
firmin
g
th
a
t
P
A
F
is
a
p
e
rm
a
n
e
n
t
fil
ter
a
n
d
a
d
a
p
ts
a
u
t
o
m
a
ti
c
a
ll
y
a
n
d
in
sta
n
tan
e
o
u
sly
to
a
n
y
lo
a
d
.
F
o
r
th
is,
se
v
e
ra
l
sim
u
latio
n
tes
ts
we
re
c
a
rried
o
u
t
u
n
d
e
r
M
ATLAB/
S
imu
li
n
k
.
T
h
e
re
su
lt
s
o
b
tain
e
d
a
re
v
e
ry
sa
ti
sfa
c
to
ry
,
a
s
th
e
y
c
o
n
firme
d
th
e
r
o
b
u
stn
e
ss
a
n
d
se
lf
-
a
d
a
p
tab
il
it
y
o
f
t
h
e
fil
ter
wi
th
re
sp
e
c
t
to
th
e
su
d
d
e
n
v
a
riati
o
n
i
n
lo
a
d
s,
th
e
tes
ts
c
a
rried
o
u
t
o
n
t
h
e
P
AF
a
lso
sh
o
w
u
s th
a
t
t
h
e
re
sp
o
n
se
o
f
th
e
fil
ter i
s
d
o
n
e
a
lmo
st i
n
r
e
a
l
ti
m
e
.
K
ey
w
o
r
d
s
:
Har
m
o
n
ics
I
n
ter
h
ar
m
o
n
ics
PAF
R
o
b
u
s
tn
ess
Self
-
ad
ap
tab
ilit
y
T
HD
T
h
is i
s
a
n
o
p
e
n
a
c
c
e
ss
a
rticle
u
n
d
e
r th
e
CC B
Y
-
SA
li
c
e
n
se
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
Mo
h
am
ed
Ali M
o
u
s
s
a
E
lectr
ical
E
n
g
in
ee
r
in
g
an
d
R
en
ewa
b
le
E
n
er
g
y
L
ab
o
r
ato
r
y
(
L
GE
E
R
)
,
Un
iv
er
s
ity
o
f
C
h
lef
B
.
P 7
8
C
,
E
l H
ass
an
ia,
C
h
lef
0
2
1
8
0
,
Alg
er
ia
E
m
ail:
m
.
alim
o
u
s
s
a@
u
n
iv
-
ch
l
ef
.
d
z
1.
I
NT
RO
D
UCT
I
O
N
T
h
e
u
s
e
o
f
p
o
wer
elec
tr
o
n
ics
an
d
in
f
o
r
m
atio
n
tec
h
n
o
lo
g
y
o
r
IT
e
q
u
ip
m
e
n
t,
w
h
eth
er
b
y
co
n
s
u
m
er
s
o
f
elec
tr
ical
en
er
g
y
o
r
b
y
p
r
o
d
u
c
er
s
,
h
ar
d
ly
b
ec
o
m
es
an
o
p
tio
n
al
ch
o
ice,
b
u
t
it
is
a
n
o
b
lig
atio
n
,
b
e
ca
u
s
e:
On
th
e
co
n
s
u
m
er
s
id
e,
a
n
d
b
y
way
o
f
ex
am
p
le,
th
e
u
s
e
o
f
eq
u
i
p
m
e
n
t
s
u
ch
as
r
ec
tifie
r
s
,
d
im
m
er
s
,
cy
clo
c
o
n
v
er
te
r
s
in
elec
tr
ical
en
er
g
y
co
n
v
er
s
io
n
i
n
s
tallatio
n
s
is
a
n
ec
e
s
s
ity
g
iv
en
th
eir
co
n
s
id
er
ab
le
c
o
n
tr
ib
u
tio
n
to
im
p
r
o
v
in
g
p
er
f
o
r
m
an
ce
,
a
n
d
ef
f
icien
c
y
o
f
th
ese
s
y
s
tem
s
.
On
th
e
p
r
o
d
u
ce
r
s
id
e,
an
d
also
b
y
way
o
f
e
x
am
p
le,
th
e
n
ee
d
t
o
in
teg
r
ate
o
t
h
er
e
n
er
g
y
s
o
u
r
ce
s
(
win
d
an
d
p
h
o
to
v
o
ltaic)
,
an
d
to
ad
ap
t
th
em
with
th
e
p
ar
am
e
ter
s
o
f
th
e
ex
is
tin
g
elec
tr
ical
n
etwo
r
k
r
e
q
u
ir
es th
e
u
s
e
o
f
p
o
wer
elec
tr
o
n
ics.
Ho
wev
er
,
th
e
in
cr
ea
s
in
g
u
s
e
o
f
th
is
eq
u
ip
m
en
t
an
d
o
th
er
s
(
th
e
to
o
l
o
f
co
m
p
u
tin
g
an
d
co
m
m
u
n
icatio
n
)
co
n
tr
i
b
u
tes
to
th
e
d
eg
r
ad
atio
n
o
f
th
e
q
u
ality
o
f
en
er
g
y
in
th
e
elec
tr
i
ca
l
n
etwo
r
k
.
T
h
ey
p
ar
ticip
ated
in
d
eter
i
o
r
atin
g
t
h
e
“q
u
ality
”
o
f
th
e
cu
r
r
en
t
a
n
d
v
o
ltag
e
o
f
th
e
d
is
tr
ib
u
tio
n
n
etwo
r
k
s
.
I
n
f
ac
t,
th
ese
s
y
s
tem
s
co
n
s
u
m
e
n
o
n
-
s
in
u
s
o
id
al
cu
r
r
e
n
ts
,
ev
en
if
th
ey
ar
e
s
u
p
p
lied
b
y
a
s
in
u
s
o
id
al
v
o
ltag
e,
an
d
b
eh
a
v
e
as
g
en
er
ato
r
s
o
f
h
a
r
m
o
n
ic
cu
r
r
en
ts
,
an
d
th
r
o
u
g
h
t
h
e
s
h
o
r
t
-
cir
cu
it
im
p
ed
an
ce
o
f
th
e
n
etwo
r
k
,
th
e
cir
cu
latio
n
o
f
th
ese
d
is
tu
r
b
ed
cu
r
r
en
ts
will
also
ca
u
s
e
h
ar
m
o
n
ics
an
d
v
o
ltag
e
im
b
alan
ce
s
,
wh
ich
will
b
e
s
u
p
er
im
p
o
s
ed
o
n
th
e
n
o
m
in
al
v
o
ltag
e
o
f
th
e
ele
ctr
ical
n
etwo
r
k
an
d
ca
u
s
e
"h
a
r
m
o
n
ic
p
o
llu
tio
n
"
wh
ich
r
em
ai
n
s
o
n
e
o
f
th
e
m
ajo
r
p
r
o
b
lem
s
wh
ic
h
d
e
g
r
ad
es
th
e
q
u
ality
o
f
elec
tr
ical
e
n
er
g
y
in
d
is
tr
ib
u
tio
n
s
y
s
tem
s
[
1
]
–
[
3
]
.
T
h
e
e
f
f
ec
ts
o
f
h
ar
m
o
n
ics
ar
e
n
u
m
e
r
o
u
s
,
th
e
m
o
s
t
k
n
o
wn
ar
e:
i)
T
h
e
in
cr
ea
s
e
in
lo
s
s
es
b
y
J
o
u
le
ef
f
ec
t;
ii)
Deg
r
ad
atio
n
o
f
th
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
15
,
No
.
4
,
Dec
em
b
er
20
24
:
2435
-
2
4
4
2
2436
p
o
wer
f
ac
to
r
o
f
th
e
in
s
tallatio
n
;
iii)
Dev
ices
m
alf
u
n
ctio
n
;
iv
)
Destru
ctio
n
o
f
ca
p
ac
ito
r
s
o
r
cir
cu
it
b
r
ea
k
er
s
u
n
d
er
th
e
ef
f
ec
t
o
f
s
tr
o
n
g
h
a
r
m
o
n
ic
cu
r
r
en
ts
am
p
lifie
d
b
y
r
eso
n
an
ce
p
h
e
n
o
m
en
a;
a
n
d
v
)
Ov
er
h
ea
tin
g
o
f
tr
an
s
f
o
r
m
er
s
an
d
n
eu
tr
al
co
n
d
u
cto
r
s
,
an
d
th
e
lo
n
g
-
ter
m
ef
f
e
cts
wh
ich
tr
an
s
late
in
to
ac
ce
le
r
ated
f
atig
u
e
o
f
th
e
eq
u
ip
m
en
t
.
T
o
av
o
id
all
th
ese
co
n
s
eq
u
en
ce
s
,
ac
tiv
e
f
ilter
in
g
is
th
e
m
o
s
t
u
s
ed
m
ea
n
s
b
ec
au
s
e
it
h
as
p
r
o
v
e
n
its
ef
f
ec
tiv
en
ess
.
T
h
e
e
f
f
icien
cy
in
d
ex
o
f
th
e
ac
tiv
e
f
ilter
is
r
ep
r
esen
ted
b
y
a
d
ec
r
ea
s
e
in
th
e
h
ar
m
o
n
ic
d
is
to
r
tio
n
r
ate
(
T
HD)
.
As m
u
ch
as th
e
T
HD
v
alu
e
is
lo
w,
th
e
f
ilter
in
g
i
s
b
etter
.
Ma
n
y
r
esear
ch
er
s
h
av
e
wo
r
k
e
d
o
n
th
e
p
ar
allel
ac
tiv
e
f
ilter
(
PAF
)
,
an
d
h
av
e
p
r
o
v
en
its
ef
f
ec
tiv
en
ess
in
r
ed
u
cin
g
an
d
ev
en
ca
n
ce
li
n
g
th
e
h
ar
m
o
n
ics
an
d
in
ter
h
ar
m
o
n
ics
ca
u
s
ed
b
y
a
n
o
n
lin
ea
r
lo
ad
,
b
u
t
th
ey
g
en
er
ally
lim
it
th
em
s
elv
es
to
a
s
in
g
le
test
f
o
r
a
n
o
n
lin
ea
r
lo
ad
.
W
h
ile
in
ev
er
y
d
ay
life
th
e
lo
ad
s
s
u
p
p
lied
b
y
th
e
elec
tr
ical
n
etwo
r
k
h
av
e
n
e
v
er
b
ee
n
f
i
x
ed
,
o
n
th
e
o
th
er
h
an
d
,
we
o
f
ten
f
in
d
th
at
th
e
lo
ad
s
(
wh
eth
er
lin
ea
r
o
r
n
o
n
-
lin
ea
r
)
ar
e
v
er
y
v
a
r
iab
l
e,
wh
ich
f
o
r
ce
s
u
s
to
s
ee
if
o
u
r
PAF
alwa
y
s
r
em
ain
s
r
eliab
le
an
d
ef
f
icien
t
if
th
e
lo
ad
s
v
ar
y
,
h
en
ce
a
test
o
f
r
o
b
u
s
tn
ess
an
d
s
elf
-
ad
ap
tab
ilit
y
is
n
ec
ess
ar
y
[
4
]
–
[
6
]
.
T
h
e
r
o
b
u
s
tn
ess
an
d
s
elf
-
ad
a
p
t
ab
ilit
y
o
f
th
e
PAF
tr
an
s
late
in
to
th
e
in
s
tan
tan
eo
u
s
r
ea
ctio
n
,
o
r
with
in
an
ac
ce
p
tab
le
tim
e
in
ter
v
al,
o
f
th
e
f
ilter
an
d
f
ilter
in
g
r
esu
lts
af
ter
ea
ch
lo
ad
ch
an
g
e.
Pre
v
iew
s
tu
d
y
[
2
]
we
u
s
ed
a
PAF
with
wh
ich
we
wer
e
ab
le
to
r
e
d
u
ce
th
e
T
HD
o
f
th
e
in
ter
h
ar
m
o
n
ic
cu
r
r
en
t
cr
e
ated
b
y
a
p
o
llu
tin
g
lo
ad
to
v
er
y
ac
ce
p
tab
le
v
alu
es
.
I
n
th
is
p
r
esen
t
wo
r
k
,
we
co
n
tin
u
e
o
u
r
co
n
tr
i
b
u
tio
n
b
y
ca
r
r
y
in
g
o
u
t
test
s
o
n
th
e
f
ilter
u
s
ed
to
ex
am
i
n
e
its
r
o
b
u
s
tn
ess
an
d
it
s
s
elf
-
ad
ap
tab
ilit
y
to
th
e
v
ar
iatio
n
o
f
t
h
e
lo
ad
.
2.
P
RINCI
P
L
E
O
F
F
UNC
T
I
O
NING
O
F
P
ARAL
L
E
L
AC
T
I
V
E
F
I
L
T
E
R
(
P
AF
)
T
h
e
p
a
r
allel
ac
tiv
e
f
ilter
(
P
AF)
co
n
s
is
ts
o
f
a
v
o
ltag
e
i
n
v
er
ter
co
n
tr
o
lled
b
y
th
e
p
u
ls
e
wid
th
m
o
d
u
latio
n
(
PW
M)
tech
n
iq
u
e
,
co
n
n
ec
ted
in
p
ar
allel
with
th
e
p
o
llu
ted
lo
ad
,
as
s
h
o
wn
in
F
ig
u
r
e
1
.
T
h
e
in
ter
-
h
ar
m
o
n
ic
c
u
r
r
e
n
ts
ar
e
ca
lcu
la
ted
th
r
o
u
g
h
a
n
id
en
tific
atio
n
alg
o
r
ith
m
u
s
in
g
PW
M
to
f
o
r
m
th
e
co
n
tr
o
l
o
f
th
e
PAF
[
7
]
–
[
9
]
.
T
h
e
d
ir
ec
t
cu
r
r
e
n
t
b
u
s
v
o
ltag
e
(
DC
B
V)
is
r
eg
u
lated
b
y
a
class
ic
p
r
o
p
o
r
tio
n
al
-
in
teg
r
al
(
PI)
[
1
0
]
,
[
1
1
]
.
T
h
e
PAF
p
r
o
d
u
ce
s
in
ter
-
h
ar
m
o
n
ic
cu
r
r
e
n
ts
wh
ich
will
b
e
in
jecte
d
in
to
th
e
elec
tr
i
ca
l
n
etwo
r
k
o
f
th
e
s
am
e
am
p
litu
d
e
b
u
t
in
p
h
ase
o
p
p
o
s
itio
n
with
th
e
in
ter
-
h
a
r
m
o
n
ic
c
u
r
r
e
n
ts
ca
u
s
ed
b
y
th
e
lo
ad
;
wh
ic
h
will
elim
in
ate
th
em
an
d
o
b
tain
th
e
r
etu
r
n
as
a
lin
ea
r
c
u
r
r
e
n
t.
T
h
e
s
p
ee
d
o
f
co
n
tr
o
l
o
f
th
e
PAF
im
p
r
o
v
es
t
h
e
q
u
ality
o
f
th
e
p
o
wer
s
u
p
p
l
y
o
f
th
e
n
et
wo
r
k
in
r
ea
l
tim
e
to
lim
it
t
h
e
lik
ely
d
am
a
g
e
[
1
2
]
–
[
1
5
]
.
Fig
u
r
e
1
r
ep
r
esen
ts
th
e
p
r
in
cip
al
f
u
n
ctio
n
o
f
th
e
PAF.
Fig
u
r
e
1
.
Prin
cip
le
o
f
f
u
n
ctio
n
in
g
d
iag
r
a
m
o
f
th
e
p
ar
allel
ac
t
iv
e
f
ilter
(
PAF)
[
2
]
T
h
e
PAF
s
ep
ar
ates
th
e
f
u
n
d
a
m
en
tal
co
m
p
o
n
en
t
o
f
t
h
e
lo
a
d
cu
r
r
e
n
t
(
f
=
5
0
Hz)
f
r
o
m
t
h
e
h
ar
m
o
n
ic
an
d
in
ter
-
h
ar
m
o
n
ic
co
m
p
o
n
en
ts
(
f
≠
5
0
Hz)
[
1
6
]
–
[
2
0
]
.
T
h
e
m
ath
em
atica
l
m
o
d
el
o
f
th
e
m
u
lti
-
v
ar
iab
le
f
ilter
(
MV
F)
is
d
ev
elo
p
ed
an
d
th
e
r
elatio
n
s
h
ip
b
etwe
en
th
e
q
u
an
titi
es
o
f
in
p
u
ts
an
d
o
u
tp
u
ts
h
av
in
g
a
n
in
teg
r
al
ef
f
ec
t a
s
in
d
icate
d
b
y
(
1
)
[
2
1
]
–
[
2
5
]
.
∫
(
)
(
)
.
j
c
t
j
t
cc
i
s
e
e
i
t
d
t
−
=
(
1
)
I
n
th
is
p
r
esen
t w
o
r
k
,
we
h
a
v
e
ch
o
s
en
th
e
s
o
-
ca
lled
"Glo
b
al
MV
F" [
2
]
,
m
eth
o
d
s
h
o
wn
i
n
Fig
u
r
e
2
.
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
S
elf
-
a
d
a
p
ta
b
ilit
y
p
a
r
a
llel a
ctiv
e
filt
er to
lo
a
d
va
r
ia
tio
n
s
s
tu
d
y
(
A
h
med
Derr
o
u
a
z
in
)
2437
Fig
u
r
e
2
.
FMV
cir
cu
it d
ia
g
r
a
m
[
2
]
I
n
L
ap
lace
f
o
r
m
i
n
(
1
)
will b
e
(
2
)
.
(
)
=
î
(
)
(
)
=
+
2
+
2
(
2
)
W
e
ad
d
two
co
n
s
tan
ts
k
1
an
d
k
2
as in
(
3
)
.
(
)
=
î
(
)
(
)
=
2
(
+
1
)
+
(
+
1
)
2
+
2
(
3
)
W
ith
:
w
c
:
T
h
e
cu
t
-
o
f
f
p
u
ls
e
o
f
th
e
f
ilter
;
K
i
:
p
o
s
itiv
e
co
n
s
tan
ts
;
i
αβ
: T
h
e
in
p
u
t
c
u
r
r
e
n
ts
o
f
th
e
F
MV
;
î
αβ
: T
h
e
o
u
tp
u
t c
u
r
r
en
ts
o
f
th
e
FMV;
Fo
r
H
(
s
)
=
0
d
B
,
it is
n
ec
ess
ar
y
th
at:
K
1
=
K
2
= K
.
T
h
en
,
as in
(
4
)
a
n
d
(
5
)
.
î
=
[
(
)
−
î
(
)
]
−
.
î
(
)
)
(
4
)
î
=
[
(
)
−
î
(
)
]
−
.
î
(
)
)
(
5
)
3.
T
E
ST
S R
E
S
UL
T
S
T
o
test
th
e
r
o
b
u
s
tn
ess
an
d
s
e
lf
-
ad
ap
tab
ilit
y
o
f
th
e
PAF,
we
p
er
f
o
r
m
e
d
s
ev
er
al
test
s
in
wh
ich
we
ab
r
u
p
tly
c
h
an
g
e
d
th
e
l
o
ad
.
T
h
e
s
u
d
d
en
m
o
d
if
icatio
n
o
f
t
h
e
l
o
ad
is
m
ad
e
in
te
r
m
itten
tly
b
et
wee
n
a
lin
ea
r
lo
a
d
an
d
a
n
o
n
-
lin
ea
r
lo
ad
.
Af
ter
ea
ch
lo
ad
c
h
an
g
e,
we
o
b
s
er
v
e
th
e
r
ea
ctio
n
o
f
th
e
p
ar
allel
ac
tiv
e
f
ilter
.
T
h
e
d
etails
o
f
th
e
test
s
ca
r
r
ied
o
u
t a
r
e
ex
p
lain
ed
in
th
e
f
o
llo
win
g
p
ar
ts
:
3
.
1
.
F
irst
t
est
Fo
r
th
e
f
ir
s
t
test
we
s
tar
ted
(
at
t=0
)
with
a
n
o
n
-
lin
ea
r
lo
ad
(
r
ec
tifie
r
an
d
r
esis
to
r
+
in
d
u
cto
r
R
L
)
.
B
u
t
at
tim
e
t=0
.
5
s
,
we
r
ep
lace
d
it
with
a
l
in
ea
r
lo
ad
(
th
r
ee
s
tar
-
co
u
p
led
r
esis
to
r
s
)
.
T
h
e
s
i
m
u
latio
n
r
esu
lts
ar
e
s
h
o
wn
in
th
e
f
o
llo
win
g
f
ig
u
r
e
s
.
Fig
u
r
e
3
(
a)
is
in
f
u
ll
r
ep
r
ese
n
tatio
n
an
d
Fig
u
r
e
3
(
b
)
in
zo
o
m
s
h
o
w
u
s
th
at
th
e
tr
an
s
itio
n
f
r
o
m
n
o
n
lin
ea
r
lo
ad
to
lin
ea
r
lo
ad
tak
es
p
lace
i
n
0
.
0
1
s
an
d
th
e
n
o
n
lin
ea
r
lo
a
d
co
m
es
in
to
o
p
er
atio
n
ex
ac
tly
at
tim
e
0
.
5
1
s
.
Fig
u
r
e
4
(
a)
is
in
f
u
ll
r
ep
r
esen
tatio
n
an
d
Fig
u
r
e
4
(
b
)
in
zo
o
m
s
h
o
w
s
u
s
th
at
th
e
PAF
r
ea
cts
at
ex
ac
tly
th
e
s
am
e
tim
e
th
at
th
e
n
o
n
lin
ea
r
lo
ad
is
in
tr
o
d
u
ce
d
(
ex
ac
tly
at
tim
e
0
.
5
1
s
)
.
T
h
is
o
b
s
er
v
atio
n
is
well
an
d
tr
u
ly
co
n
f
i
r
m
ed
b
y
th
e
cu
r
r
en
t
o
f
th
e
f
ilte
r
r
ep
r
esen
ted
b
y
Fig
u
r
e
5
(
a
)
,
wh
ich
is
in
f
u
ll
r
ep
r
esen
tatio
n
,
an
d
Fig
u
r
e
5
(
b
)
in
zo
o
m
.
T
h
e
s
p
ik
e
in
DC
b
u
s
v
o
ltag
e
(
Vd
c)
o
b
s
er
v
ed
in
Fig
u
r
e
6
is
d
u
e
to
th
e
s
tate
tr
an
s
itio
n
o
f
th
e
in
v
er
ter
an
d
last
ed
o
n
ly
a
f
ew
m
illi
s
ec
o
n
d
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
15
,
No
.
4
,
Dec
em
b
er
20
24
:
2435
-
2
4
4
2
2438
(
a)
(
b
)
Fig
u
r
e
3
.
L
o
ad
c
u
r
r
en
t:
(
a
)
f
u
ll
r
ep
r
esen
tatio
n
o
f
lo
a
d
cu
r
r
en
t
an
d
(
b
)
r
e
p
r
esen
tatio
n
in
z
o
o
m
o
f
lo
a
d
cu
r
r
en
t
(
a)
(
b
)
Fig
u
r
e
4
.
Netwo
r
k
cu
r
r
en
t:
(
a)
f
u
ll
r
ep
r
esen
tatio
n
o
f
n
etwo
r
k
cu
r
r
en
t
a
n
d
(
b
)
r
e
p
r
esen
tatio
n
in
z
o
o
m
o
f
t
h
e
n
etwo
r
k
cu
r
r
e
n
t
(
a)
(
b
)
Fig
u
r
e
5
.
Fil
ter
cu
r
r
en
t:
(
a)
f
u
l
l r
ep
r
esen
tatio
n
o
f
f
ilter
cu
r
r
en
t
an
d
(
b
)
r
e
p
r
esen
tatio
n
in
z
o
o
m
o
f
f
ilter
cu
r
r
en
t
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
S
elf
-
a
d
a
p
ta
b
ilit
y
p
a
r
a
llel a
ctiv
e
filt
er to
lo
a
d
va
r
ia
tio
n
s
s
tu
d
y
(
A
h
med
Derr
o
u
a
z
in
)
2439
Fig
u
r
e
6
.
T
h
e
Vd
c
v
o
ltag
e
3
.
2
.
Seco
nd
t
est
I
n
th
is
s
ec
o
n
d
test
,
th
e
o
r
d
er
o
f
lo
a
d
v
ar
iatio
n
was
c
h
an
g
e
d
(
lin
ea
r
lo
ad
th
e
n
n
o
n
-
lin
ea
r
lo
ad
)
.
W
e
s
tar
ted
(
at
t
=
0
)
with
lin
ea
r
l
o
ad
(
th
r
ee
s
tar
-
co
u
p
led
r
esis
to
r
s
)
.
T
h
en
at
tim
e
t
=
0
.
5
s
w
e
r
ep
lace
d
it
with
a
non
-
lin
ea
r
lo
ad
(
r
ec
tifie
r
an
d
r
esis
to
r
+
in
d
u
cto
r
R
L
)
.
T
h
e
s
im
u
latio
n
r
esu
lts
ar
e
s
h
o
wn
(
as
a
zo
o
m
)
i
n
th
e
f
o
llo
win
g
f
ig
u
r
es.
B
y
ch
an
g
in
g
,
in
th
e
2
nd
test
,
th
e
o
r
d
er
o
f
ch
an
g
e
o
f
t
h
e
lo
ad
s
co
m
p
a
r
e
d
to
th
e
1
st
test
,
as
s
h
o
wn
in
Fig
u
r
es
7
-
9
co
n
f
ir
m
s
th
e
o
b
s
er
v
atio
n
s
m
ad
e
in
th
e
1
st
test
.
T
h
e
r
ev
er
s
e
p
ea
k
o
f
th
e
DC
b
u
s
v
o
ltag
e
o
b
s
er
v
ed
in
Fig
u
r
e
1
0
is
d
u
e
t
o
th
e
s
tate
tr
an
s
itio
n
o
f
t
h
e
in
v
er
ter
,
it is
an
in
s
tan
tan
eo
u
s
p
e
ak
.
Fig
u
r
e
7
.
L
o
ad
c
u
r
r
en
t
F
ig
u
r
e
8
.
Netwo
r
k
cu
r
r
en
t
Fig
u
r
e
9
.
Fil
ter
cu
r
r
en
t
Fig
u
r
e
1
0
.
T
h
e
Vd
c
v
o
ltag
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
15
,
No
.
4
,
Dec
em
b
er
20
24
:
2435
-
2
4
4
2
2440
3
.
3
.
T
hird t
est
Fin
all
y
,
we
p
r
o
c
ee
d
e
d
i
n
a
t
h
i
r
d
t
est
t
o
tw
o
s
u
d
d
en
l
o
a
d
ch
an
g
es:
at
t
=
0
s
,
we
p
u
t
a
li
n
ea
r
lo
a
d
,
t
h
e
n
at
t
=
0
.
3
s
w
e
r
e
p
l
ac
ed
i
t
b
y
a
n
o
n
-
li
n
e
ar
l
o
ad
,
f
i
n
all
y
at
t
=
0
.
5
s
we
c
h
a
n
g
e
d
t
o
a
li
n
e
ar
l
o
ad
.
T
h
e
s
i
m
u
lat
io
n
r
es
u
lts
a
r
e
s
h
o
wn
(
as
a
z
o
o
m
)
in
t
h
e
f
o
ll
o
w
in
g
f
ig
u
r
es:
Fi
g
u
r
e
1
1
r
e
p
r
ese
n
ts
t
h
e
l
o
a
d
c
u
r
r
e
n
t.
B
y
o
b
s
e
r
v
i
n
g
t
h
e
n
et
wo
r
k
cu
r
r
e
n
t
c
u
r
v
e
as
i
n
F
i
g
u
r
e
1
2
,
a
n
d
t
h
e
f
ilt
er
c
u
r
r
en
t c
u
r
v
e
as
i
n
F
ig
u
r
e
1
3
,
i
t is
cl
ea
r
ly
s
ee
n
th
at
,
d
es
p
i
te
h
a
v
i
n
g
m
ad
e
t
h
r
ee
v
e
r
y
r
ap
id
ch
an
g
es,
t
h
e
P
AF
r
ea
cts
i
n
r
ea
l
-
ti
m
e
(
a
t
s
a
m
e
ti
m
e
o
f
t
h
e
c
h
a
n
g
e
)
a
n
d
eli
m
i
n
a
tes
alm
o
s
t
all
th
e
h
a
r
m
o
n
i
cs
b
y
m
a
k
i
n
g
t
h
e
n
e
tw
o
r
k
cu
r
r
e
n
t
s
i
n
u
s
o
i
d
al
.
T
h
e
v
o
lt
a
g
e
p
e
ak
s
o
f
t
h
e
DC
b
u
s
o
f
t
h
e
in
v
e
r
t
er
o
b
s
er
v
ed
i
n
Fi
g
u
r
e
1
4
ar
e
s
h
o
r
t
p
e
ak
s
a
n
d
h
av
e
n
o
i
n
f
l
u
e
n
c
e
o
n
th
e
p
r
o
p
er
f
u
n
cti
o
n
i
n
g
o
f
t
h
e
PAF
.
Fig
u
r
e
1
1
.
L
o
ad
cu
r
r
e
n
t
Fig
u
r
e
1
2
.
Netwo
r
k
cu
r
r
en
t
Fig
u
r
e
1
3
.
Fil
ter
cu
r
r
en
t
Fig
u
r
e
1
4
.
T
h
e
Vd
c
v
o
ltag
e
4.
CO
NCLU
SI
O
N
W
ith
a
g
en
er
al
aim
;
th
is
p
r
esen
t
wo
r
k
c
o
n
s
titu
tes,
a
co
n
tr
ib
u
tio
n
to
im
p
r
o
v
in
g
t
h
e
q
u
ality
o
f
elec
tr
ical
en
er
g
y
in
th
e
d
is
tr
ib
u
tio
n
n
etwo
r
k
,
b
y
elim
in
atin
g
h
ar
m
o
n
ics
an
d
in
ter
h
ar
m
o
n
ics
ca
u
s
ed
b
y
n
o
n
-
lin
ea
r
lo
ad
s
b
y
a
p
ar
allel
ac
t
iv
e
f
ilter
ass
o
ciate
d
with
th
e
f
ilter
tech
n
iq
u
e
m
u
ltiv
ar
ia
b
le.
Ho
wev
er
,
m
o
r
e
p
r
ec
is
ely
,
th
is
wo
r
k
was a
b
o
u
t c
o
n
f
ir
m
in
g
th
at
o
u
r
p
ar
allel
a
ctiv
e
f
ilter
ca
n
o
p
er
ate
co
n
tin
u
o
u
s
ly
r
eg
ar
d
less
o
f
th
e
lo
ad
an
d
th
at
it
ca
n
r
ea
ct
q
u
ick
ly
an
d
in
r
ea
l
-
tim
e
to
an
y
ch
an
g
e
in
lo
ad
.
Fo
r
th
is
r
ea
s
o
n
,
we
ca
r
r
ied
o
u
t
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
S
elf
-
a
d
a
p
ta
b
ilit
y
p
a
r
a
llel a
ctiv
e
filt
er to
lo
a
d
va
r
ia
tio
n
s
s
tu
d
y
(
A
h
med
Derr
o
u
a
z
in
)
2441
s
ev
er
al
test
s
b
y
s
im
u
latio
n
i
n
MA
T
L
AB
/Si
m
u
lin
k
.
T
h
e
r
esu
lts
o
b
tain
ed
allo
w
u
s
to
d
r
aw
th
e
f
o
llo
win
g
r
em
ar
k
s
:
i)
T
h
e
r
ea
ctio
n
o
f
t
h
e
f
ilter
to
th
e
tr
a
n
s
itio
n
f
r
o
m
a
n
o
n
-
li
n
ea
r
lo
a
d
to
a
lin
e
ar
l
o
ad
tak
es
p
lace
i
n
0
.
0
1
s
.
(
1
st
test
)
;
ii)
T
h
e
s
am
e
r
ap
id
r
ea
ctio
n
is
o
b
s
er
v
ed
d
u
r
in
g
th
e
tr
a
n
s
itio
n
f
r
o
m
a
lin
ea
r
lo
ad
to
a
n
o
n
lin
ea
r
lo
ad
.
(
2
nd
test
)
;
iii)
Desp
ite
h
a
v
in
g
m
a
d
e
th
r
ee
v
er
y
r
a
p
id
c
h
an
g
es
(
3
rd
test
)
,
t
h
e
p
a
r
allel
ac
tiv
e
f
ilter
r
ea
cts
in
r
ea
l
tim
e
(
at
th
e
s
am
e
tim
e
as
th
e
lo
ad
s
ch
a
n
g
e)
an
d
elim
in
ates
alm
o
s
t
all
h
ar
m
o
n
ics
b
y
m
ak
in
g
th
e
n
etwo
r
k
cu
r
r
en
t
s
in
u
s
o
id
al;
iv
)
I
n
all
t
h
r
ee
test
s
,
th
e
n
etwo
r
k
cu
r
r
en
t
r
etu
r
n
s
t
o
its
s
in
u
s
o
id
al
f
o
r
m
af
ter
f
ilter
in
g
;
a
n
d
v
)
T
h
e
v
o
ltag
e
(
DC
b
u
s
o
f
th
e
in
v
er
ter
)
r
esto
r
es,
in
th
e
th
r
ee
test
s
,
its
q
u
asi
-
co
n
tin
u
o
u
s
f
o
r
m
an
d
with
in
a
v
er
y
ac
ce
p
tab
le
d
u
r
atio
n
(
a
f
ew
m
illi
s
ec
o
n
d
s
)
.
T
h
ese
f
i
n
d
i
n
g
s
allo
w
u
s
to
co
n
f
ir
m
t
h
at
o
u
r
f
ilter
is
in
d
ee
d
r
o
b
u
s
t a
n
d
s
elf
-
ad
ap
tin
g
with
r
esp
ec
t to
d
if
f
er
e
n
t lo
ad
v
ar
iatio
n
s
.
RE
F
E
R
E
NC
E
S
[
1
]
H
.
A
t
t
i
a
,
“
E
v
a
l
u
a
t
i
o
n
o
f
S
e
l
e
c
t
i
v
e
H
a
r
mo
n
i
c
El
i
mi
n
a
t
i
o
n
P
u
l
se
W
i
d
t
h
M
o
d
u
l
a
t
i
o
n
T
e
c
h
n
i
q
u
e
f
o
r
U
n
i
p
o
l
a
r
S
i
n
g
l
e
-
P
h
a
s
e
H
-
B
r
i
d
g
e
I
n
v
e
r
t
e
r
:
C
o
mp
a
r
a
t
i
v
e
S
t
u
d
y
,
”
I
n
t
e
rn
a
t
i
o
n
a
l
J
o
u
rn
a
l
o
f
P
o
w
e
r
El
e
c
t
ro
n
i
c
s
a
n
d
D
r
i
v
e
S
y
s
t
e
m
s
(
I
J
PED
S
)
,
v
o
l
.
9
,
n
o
.
3
,
p
.
1
1
5
7
,
2
0
1
8
,
d
o
i
:
1
0
.
1
1
5
9
1
/
i
j
p
e
d
s.
v
9
.
i
3
.
p
p
1
1
5
7
-
1
1
6
5
.
[
2
]
M
.
A
.
M
o
u
ssa,
B
.
B
e
l
ma
d
a
n
i
,
A
.
W
.
B
e
l
a
r
b
i
,
a
n
d
R
.
T
a
l
e
b
,
“
E
l
i
mi
n
a
t
i
o
n
o
f
i
n
t
e
r
h
a
r
mo
n
i
c
c
u
r
r
e
n
t
s
b
y
a
F
A
P
u
si
n
g
t
h
e
t
e
c
h
n
i
q
u
e
o
f
c
o
m
p
e
n
s
a
t
i
o
n
g
l
o
b
a
l
,
”
I
n
t
e
rn
a
t
i
o
n
a
l
J
o
u
rn
a
l
o
f
P
o
w
e
r
El
e
c
t
ro
n
i
c
s
a
n
d
D
ri
v
e
S
y
s
t
e
m
s
(
I
J
PED
S
)
,
v
o
l
.
1
1
,
n
o
.
1
,
p
.
2
2
8
,
2
0
2
0
,
d
o
i
:
1
0
.
1
1
5
9
1
/
i
j
p
e
d
s.
v
1
1
.
i
1
.
p
p
2
2
8
-
2
3
4
.
[
3
]
P
.
A
r
a
v
e
n
a
,
L
.
M
o
r
a
n
,
J.
D
i
x
o
n
,
a
n
d
G
.
Jo
o
s,
“
A
c
t
i
v
e
C
o
mp
e
n
s
a
t
i
o
n
o
f
S
u
b
a
n
d
I
n
t
e
r
h
a
r
m
o
n
i
c
s
i
n
C
y
c
l
o
c
o
n
v
e
r
t
e
r
-
F
e
d
G
r
i
n
d
i
n
g
M
i
l
l
D
r
i
v
e
s,”
i
n
2
0
1
0
I
E
EE
I
n
d
u
s
t
ry
Ap
p
l
i
c
a
t
i
o
n
s
S
o
c
i
e
t
y
A
n
n
u
a
l
M
e
e
t
i
n
g
,
2
0
1
0
.
d
o
i
:
1
0
.
1
1
0
9
/
i
a
s.
2
0
1
0
.
5
6
1
5
6
4
8
.
[
4
]
K
.
S
e
l
v
a
k
u
mar,
R
.
P
a
l
a
n
i
s
a
m
y
,
K
.
V
i
j
a
y
a
k
u
mar,
D
.
K
a
r
t
h
i
k
e
y
a
n
,
D
.
S
e
l
v
a
b
h
a
r
a
t
h
i
,
a
n
d
V
.
K
u
b
e
n
d
r
a
n
,
“
H
y
st
e
r
e
si
s
C
o
n
t
r
o
l
3
-
Le
v
e
l
S
I
-
N
P
C
I
n
v
e
r
t
e
r
w
i
t
h
W
i
n
d
E
n
e
r
g
y
S
y
st
e
m,”
I
n
t
e
r
n
a
t
i
o
n
a
l
J
o
u
r
n
a
l
o
f
P
o
w
e
r E
l
e
c
t
ro
n
i
c
s a
n
d
D
ri
v
e
S
y
st
e
m
s
(
I
J
PED
S
)
,
v
o
l
.
8
,
n
o
.
4
,
p
.
1
7
6
4
,
2
0
1
7
,
d
o
i
:
1
0
.
1
1
5
9
1
/
i
j
p
e
d
s.
v
8
.
i
4
.
p
p
1
7
6
4
-
1
7
7
0
.
[
5
]
B
.
G
e
e
t
h
a
l
a
k
s
h
m
i
,
K
.
B
a
b
u
,
a
n
d
S
.
S
.
S
a
n
t
h
o
sh
m
a
,
“
A
n
a
l
y
s
i
s
o
f
i
n
t
e
r
h
a
r
m
o
n
i
c
s
i
n
c
o
n
v
e
n
t
i
o
n
a
l
a
n
d
ma
t
r
i
x
c
o
n
v
e
r
t
e
r
f
e
d
a
d
j
u
s
t
a
b
l
e
s
p
e
e
d
d
r
i
v
e
s,
”
i
n
2
0
1
2
I
EEE
5
t
h
I
n
d
i
a
I
n
t
e
r
n
a
t
i
o
n
a
l
C
o
n
f
e
re
n
c
e
o
n
Po
w
e
r
E
l
e
c
t
r
o
n
i
c
s
(
I
I
C
PE)
,
2
0
1
2
.
d
o
i
:
1
0
.
1
1
0
9
/
i
i
c
p
e
.
2
0
1
2
.
6
4
5
0
3
9
3
.
[
6
]
S
.
Q
i
n
,
Y
.
Le
i
,
C
.
B
a
r
t
h
,
W
.
-
C
.
Li
u
,
a
n
d
R
.
C
.
N
.
P
i
l
a
w
a
-
P
o
d
g
u
r
s
k
i
,
“
A
H
i
g
h
P
o
w
e
r
D
e
n
s
i
t
y
S
e
r
i
e
s
-
S
t
a
c
k
e
d
En
e
r
g
y
B
u
f
f
e
r
f
o
r
P
o
w
e
r
P
u
l
s
a
t
i
o
n
D
e
c
o
u
p
l
i
n
g
i
n
S
i
n
g
l
e
-
P
h
a
s
e
C
o
n
v
e
r
t
e
r
s,”
I
EEE
T
ra
n
s
a
c
t
i
o
n
s
o
n
Po
w
e
r
E
l
e
c
t
r
o
n
i
c
s
,
v
o
l
.
3
2
,
n
o
.
6
,
p
p
.
4
9
0
5
–
4
9
2
4
,
2
0
1
7
,
d
o
i
:
1
0
.
1
1
0
9
/
t
p
e
l
.
2
0
1
6
.
2
6
0
1
3
0
9
.
[
7
]
G
.
P
r
i
y
a
n
k
a
,
J
.
S
u
r
y
a
K
u
m
a
r
i
,
D
.
Le
n
i
n
e
,
P
.
S
r
i
n
i
v
a
sa
V
a
r
ma,
S
.
S
n
e
h
a
M
a
d
h
u
r
i
,
a
n
d
V
.
C
h
a
n
d
u
,
“
M
A
TLA
B
-
S
i
m
u
l
i
n
k
e
n
v
i
r
o
n
m
e
n
t
b
a
se
d
p
o
w
e
r
q
u
a
l
i
t
y
i
m
p
r
o
v
e
m
e
n
t
i
n
p
h
o
t
o
v
o
l
t
a
i
c
s
y
st
e
m
u
si
n
g
mu
l
t
i
l
e
v
e
l
i
n
v
e
r
t
e
r
,
”
El
e
c
t
ri
c
a
l
E
n
g
i
n
e
e
ri
n
g
&
a
m
p
;
El
e
c
t
r
o
m
e
c
h
a
n
i
c
s
,
n
o
.
2
,
p
p
.
4
3
–
4
8
,
2
0
2
3
,
d
o
i
:
1
0
.
2
0
9
9
8
/
2
0
7
4
-
2
7
2
x
.
2
0
2
3
.
2
.
0
7
.
[
8
]
M
.
G
u
e
r
g
a
h
,
K
.
N
e
b
t
i
,
S
.
E
.
R
e
z
g
u
i
,
H
.
B
e
n
a
l
l
a
,
a
n
d
D
.
O
u
l
d
-
A
b
d
e
s
l
a
m,
“
P
o
w
e
r
q
u
a
l
i
t
y
e
n
h
a
n
c
e
m
e
n
t
u
si
n
g
a
c
t
i
v
e
p
o
w
e
r
f
i
l
t
e
r
f
i
v
e
-
l
e
v
e
l
c
a
sc
a
d
e
H
-
b
r
i
d
g
e
u
n
d
e
r
u
n
b
a
l
a
n
c
e
d
a
n
d
d
i
st
o
r
t
e
d
g
r
i
d
,
”
El
e
c
t
ri
c
a
l
En
g
i
n
e
e
ri
n
g
&
a
m
p
;
El
e
c
t
ro
m
e
c
h
a
n
i
c
s
,
n
o
.
1
,
p
p
.
2
0
–
2
4
,
2
0
2
3
,
d
o
i
:
1
0
.
2
0
9
9
8
/
2
0
7
4
-
2
7
2
x
.
2
0
2
3
.
1
.
0
3
.
[
9
]
S
.
R
.
D
a
s
e
t
a
l
.
,
“
A
C
o
m
p
r
e
h
e
n
si
v
e
S
u
r
v
e
y
o
n
D
i
f
f
e
r
e
n
t
C
o
n
t
r
o
l
S
t
r
a
t
e
g
i
e
s
a
n
d
A
p
p
l
i
c
a
t
i
o
n
s
o
f
A
c
t
i
v
e
P
o
w
e
r
F
i
l
t
e
r
s
f
o
r
P
o
w
e
r
Q
u
a
l
i
t
y
I
mp
r
o
v
e
me
n
t
,
”
En
e
rg
i
e
s
,
v
o
l
.
1
4
,
n
o
.
1
5
,
p
.
4
5
8
9
,
2
0
2
1
,
d
o
i
:
1
0
.
3
3
9
0
/
e
n
1
4
1
5
4
5
8
9
.
[
1
0
]
X
.
Y
i
n
,
H
.
Y
i
,
Z.
Y
a
n
g
,
a
n
d
F
.
Zh
u
o
,
“
G
l
o
b
a
l
C
o
n
f
i
g
u
r
a
t
i
o
n
S
t
r
a
t
e
g
y
o
f
S
A
P
F
s
C
o
m
b
i
n
e
d
w
i
t
h
C
o
m
p
r
e
h
e
n
s
i
v
e
E
v
a
l
u
a
t
i
o
n
o
f
P
o
w
e
r
Q
u
a
l
i
t
y
i
n
D
i
st
r
i
b
u
t
i
o
n
N
e
t
w
o
r
k
,
”
i
n
2
0
2
2
I
n
t
e
r
n
a
t
i
o
n
a
l
C
o
n
f
e
re
n
c
e
o
n
Po
w
e
r
E
n
e
r
g
y
S
y
s
t
e
m
s
a
n
d
A
p
p
l
i
c
a
t
i
o
n
s
(
I
C
o
PE
S
A)
,
2
0
2
2
.
d
o
i
:
1
0
.
1
1
0
9
/
i
c
o
p
e
sa5
4
5
1
5
.
2
0
2
2
.
9
7
5
4
4
1
5
.
[
1
1
]
S
.
K
a
l
k
o
u
l
,
H
.
B
e
n
a
l
l
a
,
K
.
N
a
b
t
i
,
a
n
d
R
.
A
b
d
e
l
l
a
t
i
f
,
“
A
n
a
d
a
p
t
i
v
e
h
a
r
mo
n
i
c
c
o
m
p
e
n
s
a
t
i
o
n
s
t
r
a
t
e
g
y
f
o
r
t
h
r
e
e
-
p
h
a
s
e
s
h
u
n
t
a
c
t
i
v
e
p
o
w
e
r
f
i
l
t
e
r
b
a
s
e
d
o
n
d
o
u
b
l
e
se
c
o
n
d
-
o
r
d
e
r
g
e
n
e
r
a
l
i
z
e
d
i
n
t
e
g
r
a
t
o
r
w
i
t
h
p
r
e
f
i
l
t
e
r
,
”
E
l
e
c
t
r
i
c
a
l
En
g
i
n
e
e
ri
n
g
&
a
m
p
;
El
e
c
t
r
o
m
e
c
h
a
n
i
c
s
,
v
o
l
.
0
,
n
o
.
3
,
p
p
.
5
8
–
6
4
,
2
0
2
0
,
d
o
i
:
1
0
.
2
0
9
9
8
/
2
0
7
4
-
2
7
2
x
.
2
0
2
0
.
3
.
0
9
.
[
1
2
]
B
.
V
.
S
.
T
h
r
i
n
a
t
h
,
S
.
P
r
a
b
h
u
,
a
n
d
B
.
M
.
N
a
y
a
k
,
“
P
o
w
e
r
q
u
a
l
i
t
y
i
m
p
r
o
v
e
m
e
n
t
b
y
u
s
i
n
g
p
h
o
t
o
v
o
l
t
a
i
c
b
a
se
d
sh
u
n
t
a
c
t
i
v
e
h
a
r
mo
n
i
c
f
i
l
t
e
r
w
i
t
h
Z
-
so
u
r
c
e
i
n
v
e
r
t
e
r
c
o
n
v
e
r
t
e
r
,
”
E
l
e
c
t
ri
c
a
l
E
n
g
i
n
e
e
r
i
n
g
&
a
m
p
;
El
e
c
t
ro
m
e
c
h
a
n
i
c
s
,
n
o
.
6
,
p
p
.
3
5
–
4
1
,
2
0
2
2
,
d
o
i
:
1
0
.
2
0
9
9
8
/
2
0
7
4
-
2
7
2
x
.
2
0
2
2
.
6
.
0
6
.
[
1
3
]
A
.
K
u
mar
a
n
d
P
.
K
u
m
a
r
,
“
P
o
w
e
r
Q
u
a
l
i
t
y
I
mp
r
o
v
e
m
e
n
t
f
o
r
G
r
i
d
-
c
o
n
n
e
c
t
e
d
P
V
S
y
st
e
m B
a
s
e
d
o
n
D
i
st
r
i
b
u
t
i
o
n
S
t
a
t
i
c
C
o
mp
e
n
s
a
t
o
r
w
i
t
h
F
u
z
z
y
Lo
g
i
c
C
o
n
t
r
o
l
l
e
r
a
n
d
U
V
T/
A
D
A
LI
N
E
-
b
a
sed
L
e
a
s
t
M
e
a
n
S
q
u
a
r
e
C
o
n
t
r
o
l
l
e
r
,
”
J
o
u
r
n
a
l
o
f
Mo
d
e
r
n
Po
w
e
r
S
y
st
e
m
s
a
n
d
C
l
e
a
n
E
n
e
r
g
y
,
v
o
l
.
9
,
n
o
.
6
,
p
p
.
1
2
8
9
–
1
2
9
9
,
2
0
2
1
,
d
o
i
:
1
0
.
3
5
8
3
3
/
m
p
c
e
.
2
0
2
1
.
0
0
0
2
8
5
.
[
1
4
]
P
.
S
.
S
a
n
j
a
n
e
t
a
l
.
,
“
En
h
a
n
c
e
m
e
n
t
o
f
P
o
w
e
r
Q
u
a
l
i
t
y
i
n
D
o
mes
t
i
c
Lo
a
d
s
U
si
n
g
H
a
r
mo
n
i
c
F
i
l
t
e
r
s,”
I
EE
E
Ac
c
e
ss
,
v
o
l
.
8
,
p
p
.
1
9
7
7
3
0
–
1
9
7
7
4
4
,
2
0
2
0
,
d
o
i
:
1
0
.
1
1
0
9
/
a
c
c
e
ss
.
2
0
2
0
.
3
0
3
4
7
3
4
.
[
1
5
]
S
.
K
.
K
u
m
a
r
,
J.
R
a
n
g
a
,
C
.
S
.
K
.
B
.
P
r
a
d
e
e
p
K
u
mar,
a
n
d
S
.
J
a
y
a
l
a
k
s
h
m
i
,
“
P
V
b
a
se
d
S
h
u
n
t
A
c
t
i
v
e
P
o
w
e
r
F
i
l
t
e
r
f
o
r
h
a
r
m
o
n
i
c
s
mi
t
i
g
a
t
i
o
n
u
si
n
g
D
e
c
o
u
p
l
e
d
D
S
R
F
t
h
e
o
r
y
,
”
i
n
2
0
1
9
5
t
h
I
n
t
e
rn
a
t
i
o
n
a
l
C
o
n
f
e
r
e
n
c
e
o
n
A
d
v
a
n
c
e
d
C
o
m
p
u
t
i
n
g
&
a
m
p
;
C
o
m
m
u
n
i
c
a
t
i
o
n
S
y
st
e
m
s
(
I
C
A
C
C
S
)
,
2
0
1
9
.
d
o
i
:
1
0
.
1
1
0
9
/
i
c
a
c
c
s
.
2
0
1
9
.
8
7
2
8
5
2
7
.
[
1
6
]
U
.
M
.
C
h
a
v
a
n
,
A
.
R
.
Th
o
r
a
t
,
a
n
d
S
.
S
.
B
h
o
sa
l
e
,
“
S
h
u
n
t
A
c
t
i
v
e
F
i
l
t
e
r
f
o
r
H
a
r
mo
n
i
c
C
o
mp
e
n
s
a
t
i
o
n
U
si
n
g
F
u
z
z
y
Lo
g
i
c
Te
c
h
n
i
q
u
e
,
”
i
n
2
0
1
8
I
n
t
e
rn
a
t
i
o
n
a
l
C
o
n
f
e
re
n
c
e
o
n
C
u
r
re
n
t
T
re
n
d
s
t
o
w
a
rd
s
C
o
n
v
e
rg
i
n
g
T
e
c
h
n
o
l
o
g
i
e
s
(
I
C
C
T
C
T
)
,
2
0
1
8
.
d
o
i
:
1
0
.
1
1
0
9
/
i
c
c
t
c
t
.
2
0
1
8
.
8
5
5
0
9
6
2
.
[
1
7
]
A
.
Te
t
a
,
A
.
K
o
u
z
o
u
,
M
.
M
.
R
e
z
a
o
u
i
,
a
n
d
H
.
A
b
u
-
R
u
b
,
“
I
n
t
e
r
a
c
t
i
v
e
P
V
-
S
h
u
n
t
A
c
t
i
v
e
P
o
w
e
r
F
i
l
t
e
r
b
a
s
e
d
o
n
I
mp
e
d
a
n
c
e
S
o
u
r
c
e
I
n
v
e
r
t
e
r
C
o
n
t
r
o
l
l
e
d
b
y
S
R
F
-
M
V
F
,
”
i
n
2
0
2
1
1
8
t
h
I
n
t
e
r
n
a
t
i
o
n
a
l
M
u
l
t
i
-
C
o
n
f
e
re
n
c
e
o
n
S
y
st
e
m
s,
S
i
g
n
a
l
s
&
a
m
p
;
D
e
v
i
c
e
s
(
S
S
D
)
,
2
0
2
1
.
d
o
i
:
1
0
.
1
1
0
9
/
ssd
5
2
0
8
5
.
2
0
2
1
.
9
4
2
9
4
6
0
.
[
1
8
]
A
.
K
.
S
h
a
i
k
,
S
.
P
r
a
b
h
u
,
J.
S
h
a
i
k
,
M
.
K
.
P
a
t
h
a
n
,
a
n
d
M
.
G
.
S
a
i
,
“
M
o
d
e
l
l
i
n
g
a
n
d
D
e
s
i
g
n
o
f
Th
r
e
e
S
t
a
t
e
T
h
r
e
e
S
w
i
t
c
h
B
u
c
k
B
o
o
st
I
n
v
e
r
t
e
r
,
”
i
n
2
0
2
0
I
n
t
e
rn
a
t
i
o
n
a
l
C
o
n
f
e
re
n
c
e
o
n
S
m
a
rt
T
e
c
h
n
o
l
o
g
i
e
s
i
n
C
o
m
p
u
t
i
n
g
,
El
e
c
t
ri
c
a
l
a
n
d
El
e
c
t
ro
n
i
c
s
(
I
C
S
T
C
EE)
,
2
0
2
0
.
d
o
i
:
1
0
.
1
1
0
9
/
i
c
s
t
c
e
e
4
9
6
3
7
.
2
0
2
0
.
9
2
7
7
4
3
1
.
[
1
9
]
B
.
B
o
u
r
o
u
i
s,
H
.
D
j
e
g
h
l
o
u
d
,
a
n
d
H
.
B
e
n
a
l
l
a
,
“
En
e
r
g
y
e
f
f
i
c
i
e
n
c
y
o
f
a
3
-
l
e
v
e
l
s
h
u
n
t
a
c
t
i
v
e
p
o
w
e
r
f
i
l
t
e
r
p
o
w
e
r
e
d
b
y
a
f
u
e
l
-
c
e
l
l
/
b
a
t
t
e
r
y
D
C
b
u
s
w
i
t
h
r
e
g
u
l
a
t
e
d
d
u
t
y
c
y
c
l
e
s,
”
El
e
c
t
r
i
c
a
l
E
n
g
i
n
e
e
ri
n
g
&
a
m
p
;
E
l
e
c
t
r
o
m
e
c
h
a
n
i
c
s
,
n
o
.
5
,
p
p
.
3
0
–
3
8
,
2
0
2
1
,
d
o
i
:
1
0
.
2
0
9
9
8
/
2
0
7
4
-
2
7
2
x
.
2
0
2
1
.
5
.
0
5
.
[
2
0
]
C.
-
I
.
C
h
e
n
a
n
d
Y
.
-
C
.
C
h
e
n
,
“
C
o
m
p
a
r
a
t
i
v
e
S
t
u
d
y
o
f
H
a
r
mo
n
i
c
a
n
d
I
n
t
e
r
h
a
r
mo
n
i
c
Est
i
ma
t
i
o
n
M
e
t
h
o
d
s
f
o
r
S
t
a
t
i
o
n
a
r
y
a
n
d
T
i
me
-
V
a
r
y
i
n
g
S
i
g
n
a
l
s,”
I
EEE
T
ra
n
s
a
c
t
i
o
n
s
o
n
I
n
d
u
st
r
i
a
l
E
l
e
c
t
r
o
n
i
c
s
,
v
o
l
.
6
1
,
n
o
.
1
,
p
p
.
3
9
7
–
4
0
4
,
2
0
1
4
,
d
o
i
:
1
0
.
1
1
0
9
/
t
i
e
.
2
0
1
3
.
2
2
4
2
4
1
9
.
[
2
1
]
Y
.
H
o
o
n
,
M
.
M
.
R
a
d
z
i
,
M
.
H
a
s
sa
n
,
a
n
d
N
.
M
a
i
l
a
h
,
“
C
o
n
t
r
o
l
A
l
g
o
r
i
t
h
ms
o
f
S
h
u
n
t
A
c
t
i
v
e
P
o
w
e
r
F
i
l
t
e
r
f
o
r
H
a
r
m
o
n
i
c
s
M
i
t
i
g
a
t
i
o
n
:
A
R
e
v
i
e
w
,
”
E
n
e
r
g
i
e
s
,
v
o
l
.
1
0
,
n
o
.
1
2
,
p
.
2
0
3
8
,
2
0
1
7
,
d
o
i
:
1
0
.
3
3
9
0
/
e
n
1
0
1
2
2
0
3
8
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
15
,
No
.
4
,
Dec
em
b
er
20
24
:
2435
-
2
4
4
2
2442
[
2
2
]
J.
M
.
-
M
o
r
a
l
e
s
,
D
.
C
.
-
G
a
o
n
a
,
M
.
H
.
-
Á
n
g
e
l
e
s,
R
.
P
.
-
A
l
z
o
l
a
,
a
n
d
J.
G
.
-
Za
v
a
l
a
,
“
A
n
A
c
t
i
v
e
P
o
w
e
r
F
i
l
t
e
r
B
a
s
e
d
o
n
a
T
h
r
e
e
-
L
e
v
e
l
I
n
v
e
r
t
e
r
a
n
d
3
D
-
S
V
P
W
M
f
o
r
S
e
l
e
c
t
i
v
e
H
a
r
m
o
n
i
c
a
n
d
R
e
a
c
t
i
v
e
C
o
m
p
e
n
sat
i
o
n
,
”
E
n
e
r
g
i
e
s
,
v
o
l
.
1
0
,
n
o
.
3
,
p
.
2
9
7
,
2
0
1
7
,
d
o
i
:
1
0
.
3
3
9
0
/
e
n
1
0
0
3
0
2
9
7
.
[
2
3
]
A
.
A
.
B
e
n
A
b
d
e
l
k
a
d
e
r
,
O
.
A
b
d
e
l
k
h
a
l
e
k
,
A
.
A
l
l
a
l
i
,
A
.
M
e
f
t
o
u
h
i
,
a
n
d
T
.
T
o
u
mi
,
“
Ex
p
e
r
i
me
n
t
a
l
V
a
l
i
d
a
t
i
o
n
o
f
S
i
n
g
l
e
P
h
a
se
S
e
r
i
e
s
A
c
t
i
v
e
P
o
w
e
r
F
i
l
t
e
r
U
s
i
n
g
F
u
z
z
y
C
o
n
t
r
o
l
Te
c
h
n
i
q
u
e
,
”
I
n
t
e
r
n
a
t
i
o
n
a
l
J
o
u
r
n
a
l
o
f
P
o
w
e
r
E
l
e
c
t
r
o
n
i
c
s
a
n
d
D
ri
v
e
S
y
st
e
m
s
(
I
J
P
ED
S
)
,
v
o
l
.
9
,
n
o
.
2
,
p
.
5
9
1
,
2
0
1
8
,
d
o
i
:
1
0
.
1
1
5
9
1
/
i
j
p
e
d
s.
v
9
.
i
2
.
p
p
5
9
1
-
6
0
1
.
[
2
4
]
D
.
M
.
S
o
o
mr
o
,
S
.
C
.
C
h
o
n
g
,
Z.
A
.
M
e
mo
n
,
a
n
d
F
.
A
b
b
a
s
i
,
“
P
o
w
e
r
Q
u
a
l
i
t
y
I
mp
r
o
v
e
me
n
t
i
n
Q
U
C
EST
La
r
k
a
n
a
C
a
m
p
u
s
b
y
U
si
n
g
Th
r
e
e
T
y
p
e
s
o
f
P
o
w
e
r
F
i
l
t
e
r
s,
”
I
n
t
e
r
n
a
t
i
o
n
a
l
J
o
u
r
n
a
l
o
f
P
o
w
e
r
E
l
e
c
t
r
o
n
i
c
s
a
n
d
D
ri
v
e
S
y
st
e
m
s
(
I
J
PED
S
)
,
v
o
l
.
8
,
n
o
.
4
,
p
.
1
8
7
6
,
2
0
1
7
,
d
o
i
:
1
0
.
1
1
5
9
1
/
i
j
p
e
d
s.
v
8
.
i
4
.
p
p
1
8
7
6
-
1
8
8
5
.
[
2
5
]
V
.
N
a
r
a
si
m
h
u
l
u
,
“
R
e
c
i
t
a
l
A
n
a
l
y
si
s
o
f
M
o
d
u
l
a
r
M
u
l
t
i
l
e
v
e
l
C
o
n
v
e
r
t
e
r
B
a
se
d
S
h
u
n
t
A
c
t
i
v
e
P
o
w
e
r
F
i
l
t
e
r
,
”
J
o
u
r
n
a
l
o
f
Me
c
h
a
n
i
c
s
o
f
C
o
n
t
i
n
u
a
a
n
d
M
a
t
h
e
m
a
t
i
c
a
l
S
c
i
e
n
c
e
s
,
v
o
l
.
s
p
l
5
,
n
o
.
1
,
2
0
2
0
,
d
o
i
:
1
0
.
2
6
7
8
2
/
j
mcms.s
p
l
.
5
/
2
0
2
0
.
0
1
.
0
0
0
1
6
.
B
I
O
G
RAP
H
I
E
S O
F
AUTH
O
RS
Ahm
e
d
De
r
r
o
u
a
z
in
is
a
lec
tu
re
r
in
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
De
p
a
rtme
n
t
a
t
th
e
Un
iv
e
rsity
o
f
Ha
ss
ib
a
Be
n
Bo
u
a
li
o
f
C
h
lef
in
Alg
e
ria
sin
c
e
1
9
9
3
.
He
re
c
e
iv
e
d
h
is
B.
E
n
g
.
,
M
.
En
g
.
in
El
e
c
tro
n
ics
,
P
h
.
D.
d
e
g
re
e
s
,
a
n
d
Do
c
t
o
ra
te
o
f
sc
ien
c
e
in
e
lec
tro
n
ics
fro
m
Un
iv
e
rsiti
e
s o
f
Al
g
e
ria,
1
9
8
6
,
1
9
9
1
,
2
0
0
3
,
a
n
d
2
0
1
7
,
re
sp
e
c
ti
v
e
ly
.
He
is a me
m
b
e
r
o
f
LM
OPS
-
S
u
p
e
lec
lab
o
ra
to
r
y
a
t
Lo
rra
i
n
e
U
n
iv
e
rsity
,
M
e
tz,
F
ra
n
c
e
.
His
re
se
a
rc
h
in
tere
sts
in
c
lu
d
e
t
h
e
field
o
f
s
m
a
rt
m
a
n
a
g
e
m
e
n
t
sy
s
tem
s,
in
d
u
str
ial
a
p
p
l
ica
ti
o
n
s,
in
d
u
strial
e
lec
tro
n
ics
,
p
o
we
r
e
lec
tro
n
ics
,
re
n
e
wa
b
le
e
n
e
r
g
y
,
e
m
b
e
d
d
e
d
s
y
ste
m
s
,
a
n
d
a
rti
f
icia
l
in
tell
ig
e
n
c
e
.
He
c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
d
e
rrsi
d
@g
m
a
il
.
c
o
m
.
Mo
h
a
m
e
d
Ali
Mo
u
ss
a
is
a
n
a
ss
o
c
iate
p
ro
fe
ss
o
r
in
C
h
lef
Un
i
v
e
rsity
(Alg
e
ria);
h
e
re
c
e
iv
e
d
h
is
En
g
in
e
e
r’s
De
g
re
e
in
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
in
1
9
9
7
f
ro
m
th
e
Un
i
v
e
rsity
o
f
Lag
h
o
u
a
t
(Al
g
e
ria).
He
d
e
fe
n
d
e
d
h
is
M
a
g
ister
d
e
g
re
e
i
n
e
lec
tri
c
a
l
e
n
g
i
n
e
e
rin
g
i
n
2
0
1
3
a
t
t
h
e
Un
iv
e
rsity
o
f
K
h
e
m
is
-
M
li
a
n
a
(A
lg
e
ria).
In
2
0
2
1
h
e
re
c
e
iv
e
d
h
is
d
o
c
to
ra
te
d
ip
l
o
m
a
fro
m
t
h
e
Un
iv
e
rsity
o
f
S
c
ien
c
e
a
n
d
Tec
h
n
o
l
o
g
y
o
f
Ora
n
(Ale
ria).
In
2
0
2
2
,
h
e
o
b
tain
e
d
u
n
i
v
e
rsit
y
h
a
b
il
it
a
ti
o
n
d
i
p
lo
m
a
.
His
a
re
a
o
f
sc
ien
ti
fic
i
n
tere
st
is
th
e
stu
d
y
o
f
i
n
terh
a
rm
o
n
ics
in
t
h
e
e
lec
tri
c
a
l
n
e
two
rk
.
He
c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
m
.
a
li
m
o
u
ss
a
@
u
n
i
v
-
c
h
lef.d
z
.
Ba
c
h
ir
Mo
k
h
ta
r
i
wa
s
b
o
rn
in
Lag
h
o
u
a
t,
Al
g
e
ria,
in
1
9
7
1
.
He
re
c
e
iv
e
d
th
e
En
g
i
n
e
e
r
d
ip
l
o
m
a
in
e
lec
tri
c
a
l
m
a
c
h
in
e
s
fr
o
m
t
h
e
e
lec
tri
c
a
l
e
n
g
in
e
e
rin
g
d
e
p
a
rtme
n
t
o
f
Lag
h
o
u
a
t
Un
i
v
e
rsity
in
1
9
9
7
,
a
n
d
th
e
n
h
e
re
c
e
iv
e
d
th
e
M
a
g
ist
e
r
a
n
d
D
.
Sc
.
d
ip
l
o
m
a
s
in
e
lec
tri
c
a
l
e
n
g
in
e
e
rin
g
fr
o
m
t
h
e
e
l
e
c
tri
c
a
l
e
n
g
in
e
e
rin
g
d
e
p
a
rtme
n
t
o
f
Ba
tn
a
U
n
iv
e
rsit
y
i
n
2
0
0
4
a
n
d
2
0
1
4
re
sp
e
c
ti
v
e
l
y
.
In
2
0
1
6
,
h
e
o
b
tain
e
d
a
u
n
iv
e
rsit
y
h
a
b
i
li
tatio
n
d
ip
lo
m
a
.
C
u
rre
n
tl
y
,
h
e
i
s
a
re
se
a
r
c
h
p
ro
fe
ss
o
r
in
th
e
El
e
c
tr
o
tec
h
n
ics
d
e
p
a
rtme
n
t
o
f
Lag
h
o
u
a
t
Un
iv
e
rsit
y
in
Al
g
e
ria.
His
re
se
a
rc
h
in
tere
st
is
e
lec
tri
c
a
l
m
a
c
h
in
e
c
o
n
tr
o
l,
re
n
e
wa
b
le
e
n
e
rg
ies
,
a
n
d
th
e
ir
a
p
p
li
c
a
ti
o
n
s.
He
c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
b
a
.
m
o
k
h
tari@lag
h
-
u
n
iv
.
d
z
.
Evaluation Warning : The document was created with Spire.PDF for Python.