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.
5
V)
a
n
d
im
p
lem
en
tatio
n
o
n
th
e
L
AUN
C
HXL
-
F2
8
0
6
9
M
DSP b
o
ar
d
.
T
h
is
p
ap
er
is
s
tr
u
ctu
r
ed
as
,
s
ec
tio
n
2
co
v
er
s
th
e
m
o
d
elin
g
a
n
d
s
izin
g
o
f
th
e
DC
/DC
p
o
wer
co
n
v
er
te
r
in
co
n
tin
u
o
u
s
co
n
d
u
ctio
n
m
o
d
e.
Sectio
n
3
p
r
esen
ts
th
e
co
n
tr
o
ller
d
esig
n
.
Sectio
n
4
d
is
cu
s
s
es
s
im
u
latio
n
r
esu
lts
,
ex
p
er
im
en
tal
f
in
d
in
g
s
,
an
d
co
m
p
ar
ativ
e
an
aly
s
is
.
T
h
e
f
in
al
s
ec
tio
n
p
r
esen
t
s
co
n
clu
d
in
g
r
em
a
r
k
s
an
d
s
u
g
g
esti
o
n
s
f
o
r
f
u
tu
r
e
r
esear
ch
.
2.
SI
Z
I
NG
AND
M
AT
H
E
M
AT
I
CAL
E
M
O
D
E
L
I
NG
O
F
B
O
O
ST
CO
NVE
RT
E
R
A
ty
p
ical
ex
am
p
le
o
f
a
n
o
n
-
is
o
lated
b
o
o
s
t p
o
wer
co
n
v
er
ter
i
s
p
r
esen
ted
in
Fig
u
r
e
1
.
T
h
is
ar
ch
itectu
r
e
is
wid
ely
u
s
ed
in
r
e
n
ewa
b
le
en
er
g
y
a
p
p
licatio
n
s
lik
e
win
d
p
o
wer
[
2
1
]
,
wh
er
e
th
e
r
e
f
er
en
ce
o
u
tp
u
t
v
o
ltag
e
n
ee
d
s
to
b
e
tr
ac
k
ed
a
n
d
ad
j
u
s
ted
.
T
h
e
cir
cu
it
o
f
a
DC
/DC
b
o
o
s
t
co
n
v
er
ter
p
r
esen
ted
in
Fig
u
r
e
2
in
clu
d
es
a
DC
v
o
ltag
e
s
o
u
r
ce
d
esig
n
ated
b
y
Vin
,
a
c
o
n
tr
o
lled
s
witch
r
e
p
r
esen
ted
b
y
T
,
a
n
in
d
u
ctan
ce
r
e
p
r
esen
te
d
b
y
L
,
a
d
io
d
e
D,
a
f
ilter
ca
p
ac
ito
r
ex
p
r
ess
ed
as
C
,
an
d
a
lo
ad
.
W
e
wi
ll
an
al
y
ze
th
e
o
p
er
atio
n
o
f
t
h
e
co
n
v
er
ter
in
co
n
tin
u
o
u
s
co
n
d
u
ctio
n
m
o
d
e
(
C
C
M)
b
y
e
x
am
in
in
g
t
h
e
d
if
f
e
r
en
t states
b
ased
o
n
th
e
c
o
n
d
u
ctio
n
o
f
th
e
s
witch
T
.
F
i
g
u
r
e
1.
Ov
er
v
iew
o
f
th
e
s
y
s
t
em
s
tu
d
ied
L
C
T
D
i
o
u
t
L
oad
V
i
n
V
o
u
t
F
i
g
u
r
e
2
.
E
l
e
c
t
r
i
c
a
l
s
c
h
e
m
a
t
i
c
o
f
b
o
o
s
t
p
o
w
e
r
co
n
v
er
ter
W
h
en
d
esig
n
in
g
a
co
n
v
er
ter
,
i
t
is
ess
en
tial
to
tak
e
in
to
ac
co
u
n
t
th
e
r
ip
p
le
cu
r
r
en
t
∆
I
L
,
wh
ich
i
s
u
s
u
ally
s
et
at
1
0
%
o
f
th
e
in
d
u
cto
r
cu
r
r
en
t
i
L
[
2
2
]
.
T
h
e
co
n
v
er
ter
'
s
d
u
ty
cy
cle
is
d
eter
m
in
ed
u
s
in
g
t
h
e
f
o
r
m
u
la
g
iv
e
n
in
(
1
)
.
T
h
e
in
d
u
cto
r
v
al
u
e
is
d
eter
m
in
ed
b
y
th
e
(
2
)
wh
er
e
r
ep
r
esen
ts
th
e
s
witch
in
g
f
r
eq
u
en
cy
,
V
in
an
d
V
o
ut
r
ep
r
esen
t
r
esp
ec
tiv
ely
t
h
e
in
p
u
t
an
d
o
u
tp
u
t
v
o
ltag
e
o
f
th
e
co
n
v
er
ter
,
wh
ile
th
e
v
alu
e
o
f
th
e
ca
p
ac
ito
r
C
is
ca
lcu
lated
as
s
h
o
wn
in
(
3
)
,
w
h
er
e
I
o
ut
is
th
e
cu
r
r
en
t
p
ass
in
g
th
r
o
u
g
h
th
e
lo
ad
.
T
a
b
le
1
s
u
m
m
ar
izes
th
e
k
ey
p
ar
am
eter
s
o
f
th
e
DC
-
DC
b
o
o
s
t
co
n
v
er
ter
.
T
h
ese
p
ar
am
ete
r
s
ar
e
ca
lc
u
lated
u
s
in
g
th
e
eq
u
atio
n
s
m
en
tio
n
ed
an
d
ar
e
ess
en
tial f
o
r
co
r
r
ec
tly
s
izin
g
th
e
co
n
v
er
ter
c
o
m
p
o
n
en
ts
.
α
=
V
o
u
t
−
V
in
V
o
u
t
(
1
)
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
E
xp
erimen
ta
l v
a
lid
a
tio
n
o
f tw
o
vo
lta
g
e
r
eg
u
la
tio
n
s
tr
a
teg
ies fo
r
b
o
o
s
t c
o
n
ve
r
ters
…
(
B
elka
s
em
I
mo
d
a
n
e
)
511
L
=
α
×
V
in
f
×
∆
I
L
(
2
)
C
=
α
×
I
o
u
t
f
×
∆
V
o
u
t
(
3
)
T
h
e
an
aly
s
is
b
eg
in
s
b
y
e
x
tr
ac
t
in
g
th
e
s
tate
-
s
p
ac
e
m
o
d
el
f
o
r
t
h
e
b
o
o
s
t
co
n
v
e
r
ter
,
c
o
v
er
in
g
it
s
o
p
er
atio
n
in
b
o
th
ON
an
d
OFF
m
o
d
es,
wh
er
e
R
r
ep
r
esen
ts
th
e
r
esis
tiv
e
lo
ad
.
I
n
(
4
)
a
n
d
(
5
)
d
escr
ib
e
th
e
s
y
s
tem
wh
en
th
e
s
witch
T
is
ON,
wh
ile
in
(
6
)
a
n
d
(
7
)
d
escr
ib
e
it wh
e
n
th
e
s
w
itch
T
is
OFF.
di
L
dt
=
1
L
V
in
(
4
)
dV
o
u
t
dt
=
1
C
∗
(
−
V
o
ut
R
)
(
5
)
d
i
L
dt
=
1
L
∗
(
V
in
−
V
o
ut
)
(
6
)
d
V
o
u
t
dt
=
1
C
∗
(
i
L
−
V
o
ut
R
)
(
7
)
T
h
e
s
tate
eq
u
ati
o
n
s
f
o
r
a
b
o
o
s
t
p
o
wer
co
n
v
er
ter
in
t
h
e
ON
s
ta
te
ca
n
b
e
e
x
p
r
ess
ed
as
in
(
8
)
,
a
n
d
wh
e
n
th
e
s
witch
T
is
OFF,
th
e
s
tate
eq
u
atio
n
s
ca
n
b
e
wr
itten
as in
(
9
)
.
[
di
L
dt
d
V
o
u
t
dt
]
=
[
0
0
0
−
1
RC
]
[
i
L
V
o
ut
]
+
[
1
L
0
]
V
in
(
8
)
[
di
L
dt
d
V
o
ut
dt
]
=
[
0
−
1
L
1
C
−
1
RC
]
[
i
L
V
o
ut
]
+
[
1
L
0
]
V
in
(
9
)
T
ab
le
1
.
DC
-
DC
b
o
o
s
t c
o
n
v
er
ter
m
ain
p
ar
a
m
eter
s
P
a
r
a
me
t
e
r
V
a
l
u
e
V
i
n
[
7
V
-
1
1
.
5
V
]
V
o
u
t
1
2
V
C
1
0
0
μ
F
L
2
2
0
μ
H
F
4
0
k
H
z
R
1
0
0
Ω
T
o
d
er
i
v
e
a
c
o
n
v
er
te
r
m
o
d
el
o
v
er
a
s
witch
in
g
p
er
io
d
,
th
e
s
tate
-
s
p
ac
e
av
er
ag
in
g
tech
n
iq
u
e
is
u
s
ed
.
T
h
is
m
eth
o
d
in
v
o
lv
es
r
ep
lacin
g
th
e
s
tate
s
p
ac
e,
wh
ich
ap
p
r
o
x
im
a
tes
cir
cu
it
b
eh
av
io
r
o
v
er
th
e
w
h
o
le
p
er
io
d
,
with
a
s
tate
s
p
ac
e
th
at
ac
cu
r
ately
ca
p
tu
r
es
cir
cu
it
d
y
n
am
ics
o
v
er
a
s
in
g
le
s
witch
in
g
p
er
io
d
[
2
3
]
.
T
h
e
r
esu
ltin
g
m
o
d
if
ied
av
er
ag
ed
m
o
d
el
d
er
iv
ed
f
r
o
m
th
is
tech
n
iq
u
e
is
r
ep
r
esen
ted
b
y
(
1
0
)
an
d
(
1
1
)
.
A
=
A
1
×
α
+
A
2
(
1
−
α
)
(
1
0
)
B
=
B
1
×
α
+
B
2
(
1
−
α
)
(
1
1
)
A1
,
A2
,
B
1
,
an
d
B
2
ca
n
b
e
wr
itten
as
in
(
1
2
)
a
n
d
(
1
3
)
.
A
1
=
[
0
0
0
−
1
RC
]
A
2
=
[
0
−
1
L
1
C
−
1
RC
]
(
1
2
)
B
1
=
[
1
L
0
]
B
2
=
[
1
L
0
]
(
1
3
)
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.
1
6
,
No
.
1
,
Ma
r
c
h
20
2
5
:
509
-
518
512
Usi
n
g
(
1
0
)
an
d
(
1
1
)
,
we
co
n
s
tr
u
ct
th
e
av
er
ag
e
s
p
atial
s
tate
m
o
d
el
o
f
th
e
co
n
v
er
ter
o
v
e
r
th
e
en
tire
p
er
io
d
,
as
s
h
o
wn
in
(
1
4
).
[
d
i
L
dt
d
V
o
u
t
dt
]
=
[
0
−
(
1
−
α
)
L
(
1
−
α
)
C
−
1
RC
]
[
i
L
V
o
ut
]
+
[
1
L
0
]
V
in
(
1
4
)
T
h
e
s
tate
v
ec
to
r
is
d
eter
m
in
e
d
as
in
(
1
5
)
.
x
=
[
i
L
V
o
ut
]
T
(
1
5
)
T
h
e
(
1
5
)
ca
n
b
e
wr
itten
as
in
(
1
6
)
an
d
(
1
7
)
.
x
̇
=
Ax
+
B
V
in
(
1
6
)
Y
=
Mx
(
1
7
)
W
h
er
e
Y
is
th
e
o
u
tp
u
t
v
ec
to
r
a
n
d
A
=
[
0
−
(
1
−
α
)
L
1
−
α
C
−
1
RC
]
B
=
[
1
L
0
]
M
=
[
0
1
]
.
3.
CO
NT
RO
L
L
E
R
DE
SI
G
N
3
.
1
.
Sli
di
ng
m
o
de
co
ntr
o
l
Sli
d
in
g
m
o
d
e
co
n
tr
o
l
(
SMC
)
h
as b
ee
n
p
r
o
v
en
to
b
e
a
r
o
b
u
s
t
n
o
n
-
lin
ea
r
co
n
tr
o
l
m
eth
o
d
o
lo
g
y
,
ca
p
a
b
le
o
f
h
an
d
lin
g
th
e
co
m
p
lex
d
y
n
a
m
ics
o
f
v
ar
iab
le
s
tr
u
ctu
r
al
s
y
s
tem
s
.
I
t
o
f
f
er
s
s
ig
n
if
ican
t
a
d
v
an
tag
es
b
y
ass
u
r
in
g
th
e
s
tab
ilit
y
an
d
r
o
b
u
s
tn
ess
o
f
th
e
s
y
s
tem
,
ev
e
n
wh
e
n
its
p
ar
a
m
eter
s
f
lu
ctu
ate
co
n
s
id
er
a
b
ly
.
T
h
e
SMC
s
tr
ateg
y
co
n
s
is
ts
o
f
two
d
is
t
in
ct
ap
p
r
o
ac
h
es
[
2
4
]
.
I
n
th
is
p
ap
er
,
we
ar
e
f
o
cu
s
in
g
o
n
th
e
c
o
n
ce
p
t
o
f
th
e
ap
p
r
o
ac
h
m
o
d
e
[
2
5
]
in
wh
ich
th
e
co
n
tr
o
l
law
is
ex
p
r
ess
ed
in
s
u
ch
a
way
as
to
co
n
tr
o
l
th
e
s
tate
s
u
r
f
ac
e
o
f
th
e
s
y
s
tem
in
s
ta
te
s
p
ac
e,
with
th
e
aim
o
f
ac
h
iev
i
n
g
th
e
d
esire
d
s
y
s
tem
b
eh
a
v
io
r
in
a
f
in
ite
tim
e.
T
h
e
s
y
s
tem
s
tate
v
ar
iab
les
ar
e
s
h
o
wn
in
(
1
8
)
.
X
=
[
X
1
X
2
X
3
]
=
[
V
r
ef
−
(
B
e
ta
∗
V
o
ut
)
d
dt
(
V
r
ef
−
(
B
e
ta
∗
V
o
ut
)
)
∫
V
r
ef
−
(
B
e
ta
∗
V
o
ut
)
dt
]
(
1
8
)
T
h
e
v
o
ltag
e
er
r
o
r
,
er
r
o
r
d
er
i
v
ativ
e
an
d
er
r
o
r
in
te
g
r
al
ar
e
r
e
p
r
esen
ted
b
y
X1
,
X2
an
d
X3
,
r
esp
ec
tiv
ely
.
T
h
e
s
p
ec
if
ied
v
o
ltag
e
r
ef
er
en
ce
a
n
d
v
o
ltag
e
r
atio
d
iv
id
er
to
th
e
co
n
v
er
ter
o
u
tp
u
t
ar
e
in
d
icate
d
b
y
Vr
ef
an
d
B
eta.
C
o
n
s
id
er
in
g
in
(
8
)
,
(
9
)
a
n
d
(
1
5
)
,
in
(
1
8
)
ca
n
b
e
r
ef
o
r
m
u
lated
as
in
(
1
9
)
.
X
=
[
X
1
X
2
X
3
]
=
[
V
r
ef
−
(
B
e
ta
∗
V
o
ut
)
(
B
et
a
∗
V
o
u
t
)
RC
+
B
et
a
LC
∫
(
V
r
ef
−
V
in
)
α̅
dt
∫
V
r
ef
−
(
B
e
t
a
∗
V
o
ut
)
dt
]
(
1
9
)
T
h
e
co
n
tr
o
l sy
s
tem
'
s
s
tate
eq
u
atio
n
in
v
ec
to
r
s
p
ac
e
is
ex
p
r
es
s
ed
as
in
(
2
0
)
.
[
X
̇
1
X
̇
2
X
̇
3
]
=
[
0
1
0
0
−
1
RC
0
1
0
0
]
[
X
1
X
2
X
3
]
+
[
0
(
B
et
a
∗
V
o
u
t
)
RC
−
(
B
et
a
∗
V
in
)
LC
0
]
(
2
0
)
T
h
e
s
witch
in
g
f
u
n
ctio
n
in
t
h
e
SMC
law
i
s
ex
p
r
ess
ed
as
in
(
2
1
)
.
u
=
{
1
,
whe
n
γ
>
0
0
,
whe
n
γ
<
0
(
2
1
)
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
E
xp
erimen
ta
l v
a
lid
a
tio
n
o
f tw
o
vo
lta
g
e
r
eg
u
la
tio
n
s
tr
a
teg
ies fo
r
b
o
o
s
t c
o
n
ve
r
ters
…
(
B
elka
s
em
I
mo
d
a
n
e
)
513
T
h
e
in
s
tan
tan
eo
u
s
tr
ajec
to
r
y
o
f
th
e
s
tate,
r
ep
r
esen
ted
b
y
,
is
d
ef
in
ed
i
n
(
2
2
)
.
γ
=
X
1
α
1
+
X
2
α
2
+
X
3
α
3
=
J
T
X
(
2
2
)
T
h
e
(
2
2
)
r
e
p
r
esen
ts
th
e
s
lid
in
g
co
ef
f
icien
ts
,
wh
er
e:
J
T
=
[
α
1
α
2
α
3
]
.
T
o
r
eg
u
late
th
e
s
witch
in
a
b
o
o
s
t
c
o
n
v
e
r
ter
u
s
in
g
p
u
ls
e
wid
th
m
o
d
u
latio
n
(
PW
M)
,
a
co
n
tr
o
l
m
ec
h
an
is
m
is
u
s
ed
wh
er
e
a
Vc
s
ig
n
al
is
co
m
p
ar
ed
with
a
s
awto
o
th
r
ef
er
en
ce
s
ig
n
al
Vr
.
T
h
is
co
m
p
ar
is
o
n
ef
f
ec
tiv
ely
d
eter
m
i
n
es
th
e
d
esire
d
d
u
ty
c
y
cle
o
f
th
e
PW
M
s
i
g
n
al
u
eq
.
T
h
e
co
n
tr
o
l
s
ig
n
al
is
th
en
p
r
o
ce
s
s
ed
b
y
a
PW
M
m
o
d
u
lato
r
to
co
n
v
er
t
it
in
to
an
ap
p
r
o
p
r
iate
d
u
t
y
cy
cle
.
T
h
is
d
u
t
y
cy
cle
d
ir
ec
tly
d
eter
m
in
es
th
e
ON/OFF
tim
e
r
atio
o
f
s
witch
in
th
e
s
y
s
t
em
,
as sh
o
wn
in
F
ig
u
r
e
3
.
Γ
̇
=
J
T
AX
+
J
T
B
u
̅
eq
=
0
(
2
3
)
W
er
e
u
̅
eq
=
−
[
J
T
B
]
−
1
J
T
AX
(
2
4
)
u
̅
eq
=
B
et
a
∗
L
∗
(
α1
α2
−
1
RC
)
B
et
a
∗
(
V
o
u
t
−
V
in
)
Ic
−
α3
∗
L
∗
C
∗
(
V
r
ef
–
B
et
a
∗
V
o
u
t
)
α2
∗
B
et
a
(
V
o
u
t
−
V
in
)
(
2
5
)
I
n
th
is
eq
u
atio
n
,
co
n
d
itio
n
0
<
u
̅
eq
<
1
is
d
ef
in
e
d
b
y
tak
in
g
in
to
ac
co
u
n
t:
u
̅
eq
=
1
–
u
eq
(
2
6
)
In
(
2
4
)
ca
n
b
e
ex
p
r
ess
ed
as (
2
7
)
,
an
d
u
eq
ca
n
b
e
p
r
esen
ted
b
y
(
2
8
)
:
0
<
u
eq
=
−
Ic
∗
Be
t
a
∗
L
∗
(
α1
α2
−
1
RC
)
+
α3
∗
L
∗
C
α2
∗
(
Vr
e
f
–
Be
t
a
∗
V
out
)
+
Be
t
a
∗
(
V
out
−
V
in
)
Be
t
a
∗
(
V
out
−
V
in
)
<
1
(
2
7
)
0
<
u
eq
=
Vc
Vr
<
1
(
2
8
)
F
i
g
u
r
e
3
.
S
c
h
e
m
a
t
i
c
r
e
p
r
e
s
e
n
t
a
t
i
o
n
o
f
b
o
o
s
t
c
o
n
v
e
r
t
e
r
u
s
i
n
g
S
M
C
3
.
2
.
F
uzzy
lo
g
ic
co
ntr
o
ller
Un
lik
e
co
n
v
en
tio
n
al
ap
p
r
o
ac
h
es,
wh
ich
ar
e
o
f
ten
lim
ited
b
y
co
m
p
lex
m
ath
em
atica
l
m
o
d
el
s
,
FLC
is
f
u
n
d
am
e
n
tally
b
u
ilt
o
n
lin
g
u
is
t
ic
co
n
tr
o
l
ap
p
r
o
ac
h
es
d
er
iv
ed
f
r
o
m
th
e
k
n
o
wled
g
e
o
f
ex
p
er
ts
an
d
tr
a
n
s
lated
in
to
an
au
to
m
ated
d
ec
is
io
n
-
m
a
k
in
g
p
r
o
ce
s
s
.
T
h
is
en
ab
les
FLC
to
ad
d
r
ess
a
wid
e
r
an
g
e
o
f
ch
allen
g
in
g
co
n
tr
o
l
p
r
o
b
lem
s
f
o
r
wh
ic
h
ac
cu
r
ate
m
o
d
elin
g
r
em
ain
s
d
if
f
icu
lt
to
ac
h
iev
e.
FLC
is
a
r
ev
o
l
u
tio
n
ar
y
co
n
tr
o
l
alg
o
r
ith
m
th
at
b
r
id
g
es
th
e
g
ap
b
etwe
en
h
u
m
an
ex
p
er
tis
e
an
d
alg
o
r
ith
m
ic
co
n
tr
o
l
in
c
o
m
p
lex
s
y
s
t
em
s
[
2
6
]
.
Th
e
FLC
co
n
tr
o
ller
h
as th
r
ee
p
r
i
n
cip
al
c
o
m
p
o
n
en
ts
:
−
Fu
zz
if
icatio
n
:
T
h
e
tr
an
s
f
o
r
m
atio
n
o
f
in
p
u
t
v
ar
iab
les
in
to
lin
g
u
is
tic
v
ar
iab
les
in
v
o
lv
es
th
e
u
s
e
o
f
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
(
MFs).
T
r
ian
g
les
an
d
tr
ap
ez
o
i
d
s
ar
e
th
e
ty
p
es
o
f
m
em
b
e
r
s
h
ip
f
u
n
ctio
n
s
m
o
s
t
co
m
m
o
n
l
y
u
s
ed
in
t
h
e
liter
atu
r
e.
−
I
n
f
er
en
ce
s
: G
en
er
atin
g
f
u
zz
if
ied
o
u
tp
u
t b
ased
o
n
d
e
f
in
ed
r
u
l
es,
u
s
in
g
th
e
f
u
zz
i
f
ied
in
p
u
t.
−
Def
u
zz
if
icatio
n
: Co
n
v
er
tin
g
f
u
zz
y
o
u
tp
u
t in
to
a
p
r
ec
is
e
co
n
tr
o
l sig
n
al
f
o
r
th
e
co
n
v
er
ter
.
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.
1
6
,
No
.
1
,
Ma
r
c
h
20
2
5
:
509
-
518
514
T
o
ad
ju
s
t
th
e
DC
/DC
co
n
v
er
ter
o
u
tp
u
t
v
o
ltag
e
u
s
in
g
a
f
u
zz
y
lo
g
ic
co
n
tr
o
ller
(
FLC),
T
h
e
FLC
r
ea
d
s
th
e
o
u
tp
u
t
v
o
ltag
e
v
alu
e
an
d
c
alcu
lates
th
e
er
r
o
r
(
e)
b
y
co
m
p
ar
in
g
th
e
cu
r
r
e
n
t
v
o
ltag
e
with
th
e
tar
g
et
r
ef
er
en
ce
v
o
ltag
e.
I
t
also
co
n
s
id
er
s
t
h
e
r
ate
o
f
ch
an
g
e
o
f
th
is
er
r
o
r
(
Δ
e)
.
B
ased
o
n
th
is
d
ata,
th
e
FLC
u
s
es
a
tab
le
o
f
f
u
zz
y
r
u
les
to
d
ef
in
e
th
e
d
u
ty
cy
cle
α
f
o
r
th
e
p
u
ls
e
wid
t
h
m
o
d
u
latio
n
(
PW
M)
s
ig
n
al
ac
c
o
r
d
i
n
g
t
o
t
h
e
s
ch
em
atic
s
h
o
wn
in
F
ig
u
r
e
4
.
T
a
b
l
e
2
d
i
s
p
l
a
y
s
t
h
e
f
u
z
z
y
r
u
l
e
t
a
b
l
e
,
w
h
i
c
h
u
t
i
l
i
z
e
s
a
s
e
t
o
f
“
If
…
T
h
e
n
"
r
u
l
e
s
t
o
d
e
f
i
n
e
t
h
e
c
o
n
t
r
o
l
s
t
r
a
t
e
g
y
.
T
h
e
s
e
r
u
l
e
s
a
r
e
e
x
p
r
e
s
s
e
d
i
n
n
a
t
u
r
a
l
l
a
n
g
u
a
g
e
,
m
a
k
i
n
g
t
h
e
m
e
a
s
y
t
o
c
o
m
p
r
e
h
e
n
d
.
E
a
c
h
i
n
p
u
t
v
a
r
i
a
b
l
e
(
e
a
n
d
Δ
e
)
a
n
d
t
h
e
o
u
t
p
u
t
v
a
r
i
a
b
l
e
(
α
)
a
r
e
c
h
a
r
a
c
t
e
r
i
z
e
d
u
s
i
n
g
l
i
n
g
u
i
s
t
i
c
t
e
r
m
s
:
n
e
g
a
t
i
v
e
(
N
)
,
z
e
r
o
(
Z
)
,
a
n
d
p
o
s
i
t
i
v
e
(
P
)
.
T
ab
le
2
.
Fu
zz
y
lo
g
ic
r
u
les
e
e
N
Z
P
N
P
P
P
Z
P
Z
N
P
P
N
N
Fig
u
r
e
4
.
Sch
em
atic
r
ep
r
esen
t
atio
n
o
f
b
o
o
s
t c
o
n
v
er
ter
u
s
in
g
FLC
4.
RE
SU
L
T
S AN
A
L
YS
I
S AN
D
DIS
CU
SS
I
O
N
4
.
1
.
Sim
ula
t
io
n
re
s
ults
T
o
v
alid
ate
th
e
e
f
f
icien
cy
o
f
t
h
e
s
y
s
tem
u
s
in
g
SMC
an
d
FLC,
th
is
s
ec
tio
n
p
r
esen
ts
s
im
u
la
tio
n
r
esu
lts
.
Fig
u
r
es
5
(
a)
an
d
5
(
b
)
s
h
o
w
th
e
o
u
tp
u
t
v
o
ltag
e
r
esp
o
n
s
e
o
f
th
e
b
o
o
s
t
p
o
wer
c
o
n
v
e
r
ter
u
n
d
er
f
u
zz
y
lo
g
ic
c
o
n
tr
o
l
(
FLC)
an
d
s
lid
in
g
m
o
d
e
co
n
tr
o
l
(
SMC
)
r
esp
ec
tiv
ely
,
with
a
v
ar
iab
le
in
p
u
t
v
o
ltag
e
p
r
o
f
ile
an
d
a
lo
ad
v
ar
y
i
n
g
f
r
o
m
1
0
0
Ω
to
8
0
Ω
at
0
.
0
8
s
.
B
o
th
co
n
tr
o
ller
s
ac
c
u
r
ately
tr
ac
k
th
e
1
2
V
r
e
f
er
en
ce
v
o
ltag
e
,
wi
th
p
ea
k
o
v
er
s
h
o
o
ts
o
f
1
4
.
2
%
f
o
r
t
h
e
FLC
an
d
0
.
3
9
%
f
o
r
th
e
SMC
.
T
h
e
r
o
o
t
m
e
an
s
q
u
ar
e
er
r
o
r
(
R
MSE
)
is
0
.
1
4
V
f
o
r
th
e
FLC
an
d
0
.
0
7
5
V
f
o
r
th
e
SMC
.
Desp
ite
n
o
ticea
b
le
o
v
er
s
h
o
o
ts
,
b
o
t
h
r
e
g
u
lato
r
s
s
h
o
w
m
in
o
r
d
ev
iatio
n
s
f
r
o
m
th
e
r
ef
er
e
n
ce
,
wh
ich
ar
e
q
u
ick
l
y
atten
u
ated
b
y
s
h
o
r
t
s
ettlin
g
tim
es
o
f
6
.
4
m
s
f
o
r
th
e
FLC
an
d
4
.
2
m
s
f
o
r
th
e
SMC
,
h
ig
h
lig
h
tin
g
th
eir
r
ap
id
r
esp
o
n
s
e
ca
p
ab
ilit
ies.
T
h
e
m
ea
n
ab
s
o
lu
te
p
er
ce
n
t
ag
e
er
r
o
r
(
MA
PE)
also
co
n
f
ir
m
s
th
e
ac
cu
r
ac
y
o
f
th
e
FLC
(
1
.
1
2
%)
an
d
SMC
(
0
.
5
%)
in
ac
h
iev
i
n
g
th
e
d
esi
r
ed
o
u
tp
u
t
v
o
ltag
e.
Ov
e
r
all,
th
e
SMC
co
n
tr
o
ller
o
u
tp
er
f
o
r
m
s
th
e
FLC co
n
tr
o
ller
in
ter
m
s
o
f
o
v
er
s
h
o
o
t,
s
ettlin
g
tim
e,
an
d
ac
cu
r
ac
y
.
4
.
2
.
E
x
perim
ent
a
l r
esu
lt
s
T
h
e
ex
p
er
im
e
n
tal
test
p
latf
o
r
m
Fig
u
r
e
6
in
cl
u
d
es
a
p
r
o
g
r
a
m
m
ab
le
DC
p
o
wer
s
u
p
p
l
y
to
g
en
er
ate
an
o
u
tp
u
t
v
o
ltag
e
p
r
o
f
ile.
I
n
a
d
d
i
tio
n
,
th
e
p
latf
o
r
m
in
cl
u
d
es
a
DC
-
DC
b
o
o
s
t
p
o
wer
c
o
n
v
e
r
ter
p
r
o
to
ty
p
e
d
esig
n
e
d
to
r
eg
u
late
o
u
tp
u
t
v
o
ltag
e,
an
d
a
r
esis
tiv
e
lo
ad
f
o
r
test
in
g
.
T
h
e
L
AUNCH
XL
-
F2
8
0
6
9
M
d
ig
i
tal
s
ig
n
al
p
r
o
ce
s
s
o
r
(
DSP)
(
b
o
ar
d
s
er
v
es
as
a
p
latf
o
r
m
f
o
r
im
p
lem
e
n
tin
g
eith
er
SMC
o
r
FLC.
Sig
n
als
ar
e
th
e
n
g
e
n
er
ated
b
y
th
e
b
o
ar
d
a
cc
o
r
d
i
n
g
to
th
e
co
n
tr
o
l
ler
s
elec
ted
to
d
r
iv
e
th
e
DC
-
DC
b
o
o
s
t
p
o
wer
c
o
n
v
e
r
ter
.
T
h
e
v
ar
io
u
s
in
p
u
ts
an
d
o
u
tp
u
ts
d
em
a
n
d
ed
b
y
th
e
c
o
n
t
r
o
ller
'
s
alg
o
r
ith
m
s
,
ar
e
ca
p
tu
r
ed
u
s
in
g
an
L
V
2
5
-
P
s
en
s
o
r
f
o
r
v
o
ltag
e
d
etec
tio
n
an
d
an
L
T
S
2
5
-
NP
s
en
s
o
r
f
o
r
cu
r
r
en
t
d
etec
tio
n
.
Ad
d
itio
n
ally
,
a
Ma
s
tech
MS8
2
1
8
m
u
ltime
ter
is
u
s
ed
to
v
is
u
alize
th
e
o
u
tp
u
t
v
o
ltag
e
an
d
co
lle
ct
th
e
d
ata.
T
h
is
co
n
f
ig
u
r
atio
n
en
ab
les
r
ea
l
-
tim
e
m
o
n
ito
r
in
g
an
d
d
ata
lo
g
g
in
g
f
o
r
co
m
p
r
eh
en
s
iv
e
a
n
aly
s
is
an
d
ev
alu
atio
n
o
f
b
o
o
s
t
p
o
wer
co
n
v
er
ter
p
er
f
o
r
m
an
ce
.
T
h
e
co
n
v
er
ter
p
ar
am
ete
r
s
wer
e
s
elec
ted
s
im
ilar
ly
to
th
e
s
im
u
latio
n
s
tu
d
y
.
Fig
u
r
es
7
(
a)
an
d
7
(
b
)
illu
s
tr
ate
a
v
ar
iab
le
in
p
u
t
v
o
ltag
e
with
a
lo
ad
ch
an
g
e
f
r
o
m
8
0
Ω
to
1
0
0
Ω
u
n
d
e
r
FLC
an
d
SMC
,
r
esp
ec
tiv
ely
.
T
h
e
FLC
co
n
tr
o
ller
in
Fig
u
r
e
7
(
a)
s
h
o
ws
an
o
v
er
s
h
o
o
t
o
f
1
5
.
7
7
%,
a
s
ettlin
g
tim
e
o
f
4
4
m
s
,
a
MA
PE
o
f
5
.
5
%,
an
d
an
R
MSE
o
f
0
.
6
6
V.
T
h
e
SMC
co
n
tr
o
ller
in
Fig
u
r
e
7
(
b
)
d
em
o
n
s
tr
ated
a
m
in
im
u
m
o
v
e
r
s
h
o
o
t
o
f
0
.
4
8
%,
a
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
E
xp
erimen
ta
l v
a
lid
a
tio
n
o
f tw
o
vo
lta
g
e
r
eg
u
la
tio
n
s
tr
a
teg
ies fo
r
b
o
o
s
t c
o
n
ve
r
ters
…
(
B
elka
s
em
I
mo
d
a
n
e
)
515
s
ettlin
g
tim
e
o
f
9
m
s
,
a
MA
PE
o
f
2
.
0
8
%,
a
n
d
an
R
MSE
o
f
0
.
2
5
V
r
elativ
e
to
th
e
1
2
V
r
ef
er
en
ce
v
o
ltag
e.
Ov
er
all,
th
e
SMC
co
n
tr
o
ller
o
u
tp
er
f
o
r
m
s
th
e
FLC
co
n
tr
o
ller
in
ter
m
s
o
f
o
v
er
s
h
o
o
t,
s
ettlin
g
tim
e,
an
d
ac
cu
r
ac
y
.
(
a)
(
b
)
Fig
u
r
e
5
.
Simu
latio
n
r
esu
lts
o
f
b
o
o
s
t
co
n
v
er
ter
r
esp
o
n
s
e
with
(
a)
FLC an
d
(
b
)
SMC
Fig
u
r
e
6
.
E
x
p
er
im
e
n
tal
test
p
latf
o
r
m
s
etu
p
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.
1
6
,
No
.
1
,
Ma
r
c
h
20
2
5
:
509
-
518
516
(
a)
(
b
)
Fig
u
r
e
7
.
E
x
p
er
im
e
n
tal
r
esu
lts
o
f
b
o
o
s
t c
o
n
v
e
r
ter
r
esp
o
n
s
e
with
(
a)
FLC an
d
(
b
)
SMC
5.
CO
NCLU
SI
O
N
I
n
th
is
p
ap
er
,
we
p
r
esen
t
an
e
x
p
er
im
en
tal
v
alid
atio
n
o
f
s
lid
i
n
g
m
o
d
e
c
o
n
tr
o
l
(
SMC
)
an
d
f
u
zz
y
lo
g
ic
co
n
tr
o
l
(
FLC)
ap
p
lied
to
DC
/DC
b
o
o
s
t
p
o
we
r
co
n
v
er
ter
s
to
ad
ju
s
t
th
e
o
u
tp
u
t
v
o
ltag
e
p
r
o
d
u
ce
d
o
f
win
d
t
u
r
b
in
e
s
y
s
tem
s
.
Ou
r
r
esu
lts
d
em
o
n
s
tr
ate
th
e
a
d
v
an
ta
g
es
o
f
s
lid
in
g
m
o
d
e
co
n
tr
o
l
o
v
er
f
u
zz
y
l
o
g
ic
co
n
tr
o
l
.
Du
r
i
n
g
test
in
g
co
n
d
u
cted
o
n
a
p
h
y
s
ic
al
p
r
o
to
ty
p
e
an
d
a
DSP b
o
ar
d
,
SMC
co
n
s
i
s
ten
t
ly
s
h
o
ws
s
u
p
er
io
r
p
er
f
o
r
m
an
ce
in
th
e
co
n
te
x
t
o
f
p
ea
k
o
v
e
r
s
h
o
o
t,
s
ettlin
g
tim
e,
an
d
m
ea
n
ab
s
o
lu
te
p
er
ce
n
tag
e
e
r
r
o
r
(
MA
PE)
.
Ho
wev
er
,
it'
s
im
p
o
r
tan
t
to
n
o
te
th
at
SMC
ca
n
s
u
f
f
e
r
f
r
o
m
"c
h
atter
in
g
,
"
w
h
ich
h
as
an
im
p
ac
t
o
n
c
o
m
p
o
n
en
t
ef
f
icien
cy
an
d
d
u
r
ab
ilit
y
.
On
th
e
o
th
er
h
a
n
d
,
FLC
ex
h
ib
its
lo
n
g
er
s
ettlin
g
ti
m
es
an
d
h
ig
h
er
p
ea
k
o
v
er
s
h
o
o
ts
.
T
o
m
ax
im
ize
th
e
ef
f
ec
tiv
en
ess
o
f
SMC
s
in
th
e
r
ea
l
wo
r
ld
,
it
is
es
s
en
tial
t
o
ad
d
r
ess
th
e
p
h
en
o
m
e
n
o
n
o
f
ch
atter
in
g
,
wh
ich
n
eg
ativ
ely
a
f
f
ec
ts
th
e
p
er
f
o
r
m
an
ce
o
f
th
e
s
y
s
tem
.
Similar
ly
,
o
p
tim
izin
g
FLC
p
ar
a
m
eter
s
o
r
ex
p
lo
r
in
g
alter
n
ativ
e
co
n
tr
o
l
s
tr
ateg
ies
ca
n
im
p
r
o
v
e
its
d
y
n
am
ic
r
esp
o
n
s
e
an
d
r
ed
u
ce
s
tab
iliza
tio
n
tim
e.
T
h
ese
r
esu
lts
d
em
o
n
s
tr
ate
th
e
im
p
o
r
tan
ce
o
f
o
u
r
s
tu
d
y
f
o
r
th
e
im
p
lem
e
n
t
atio
n
o
f
ef
f
ec
tiv
e
v
o
ltag
e
r
e
g
u
latio
n
s
tr
ateg
ies
in
win
d
en
er
g
y
s
y
s
tem
s
.
B
y
ad
d
r
ess
in
g
th
e
id
en
tifie
d
ch
allen
g
e
s
an
d
o
p
tim
izin
g
c
o
n
tr
o
l
s
tr
ateg
ies,
we
ca
n
f
u
r
th
e
r
im
p
r
o
v
e
t
h
e
r
eliab
ilit
y
an
d
p
er
f
o
r
m
an
ce
o
f
win
d
p
o
wer
s
y
s
tem
s
.
ACK
NO
WL
E
DG
E
M
E
NT
S
A
u
t
h
o
r
s
m
a
y
a
c
k
n
o
w
l
e
d
g
e
a
n
y
p
e
r
s
o
n
,
i
n
s
t
it
u
t
i
o
n
,
o
r
d
e
p
a
r
t
m
e
n
t
t
h
a
t
s
u
p
p
o
r
t
e
d
t
o
a
n
y
p
a
r
t
o
f
t
h
e
s
t
u
d
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
E
xp
erimen
ta
l v
a
lid
a
tio
n
o
f tw
o
vo
lta
g
e
r
eg
u
la
tio
n
s
tr
a
teg
ies fo
r
b
o
o
s
t c
o
n
ve
r
ters
…
(
B
elka
s
em
I
mo
d
a
n
e
)
517
RE
F
E
R
E
NC
E
S
[
1
]
Z.
Y
u
,
W
.
Z
h
e
n
g
,
K
.
Ze
n
g
,
R
.
Z
h
a
o
,
Y
.
Zh
a
n
g
,
a
n
d
M
.
Ze
n
g
,
“
En
e
r
g
y
o
p
t
i
mi
z
a
t
i
o
n
m
a
n
a
g
e
me
n
t
o
f
mi
c
r
o
g
r
i
d
u
s
i
n
g
i
mp
r
o
v
e
d
s
o
f
t
a
c
t
o
r
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c
r
i
t
i
c
a
l
g
o
r
i
t
h
m,
”
I
n
t
e
r
n
a
t
i
o
n
a
l
J
o
u
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l
o
f
Re
n
e
w
a
b
l
e
En
e
r
g
y
D
e
v
e
l
o
p
m
e
n
t
,
v
o
l
.
1
3
,
n
o
.
2
,
p
p
.
3
2
9
-
3
3
9
,
F
e
b
.
2
0
2
4
,
d
o
i
:
1
0
.
6
1
4
3
5
/
i
j
r
e
d
.
2
0
2
4
.
5
9
9
8
8
.
[
2
]
M
.
L
a
g
o
u
i
r
,
A
.
B
a
d
r
i
,
a
n
d
Y
.
S
a
y
o
u
t
i
,
“
S
o
l
v
i
n
g
M
u
l
t
i
-
O
b
j
e
c
t
i
v
e
En
e
r
g
y
M
a
n
a
g
e
m
e
n
t
o
f
a
D
C
M
i
c
r
o
g
r
i
d
u
s
i
n
g
M
u
l
t
i
-
O
b
j
e
c
t
i
v
e
M
u
l
t
i
v
e
r
se
O
p
t
i
m
i
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rc
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g
ro
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p
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En
g
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c
ien
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s
a
n
d
En
e
rg
y
M
a
n
a
g
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m
e
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t
Lab
o
ra
to
r
y
,
Un
i
v
e
rsity
o
f
I
b
n
Zo
h
r,
Ag
a
d
ir,
M
o
ro
c
c
o
.
His
re
se
a
rc
h
fo
c
u
se
s
o
n
re
n
e
wa
b
le
e
n
e
r
g
ies
fo
r
h
is
d
o
c
to
ra
l
t
h
e
sis.
He
c
a
n
b
e
c
o
n
tac
ted
at
e
m
a
il
:
b
.
imo
d
a
n
e
@u
iz.ac
.
m
a
.
Mo
h
a
m
e
d
Be
n
y
d
ir
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a
P
h
.
D.
c
a
n
d
i
d
a
te
a
n
d
su
b
stit
u
te
tea
c
h
e
r
sp
e
c
ializin
g
in
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
a
t
th
e
Hig
h
S
c
h
o
o
l
o
f
Tec
h
n
o
lo
g
ies
in
Ag
a
d
ir
(ES
T
Ag
a
d
ir),
o
r
ig
i
n
a
tes
fro
m
Ag
a
d
ir,
M
o
ro
c
c
o
.
His
re
se
a
rc
h
,
in
teg
ra
l
to
h
is
n
a
ti
o
n
a
l
d
o
c
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ra
l
th
e
sis,
is
p
rima
ril
y
fo
c
u
se
d
o
n
re
n
e
wa
b
le
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e
rg
y
,
e
n
g
in
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rin
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c
e
,
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n
d
e
n
e
rg
y
m
a
n
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g
e
m
e
n
t
.
H
e
c
a
n
b
e
c
o
n
tac
ted
a
t
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m
a
il
:
m
o
h
a
m
e
d
.
b
e
n
y
d
ir@ed
u
.
u
iz.ac
.
m
a
.
Br
a
h
im
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u
a
c
h
r
in
e
is
p
ro
fe
ss
o
r
Ph
.
D
.
a
t
th
e
De
p
a
rtme
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t
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e
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tri
c
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l
a
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d
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e
rg
y
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g
i
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e
rin
g
,
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g
h
S
c
h
o
o
l
o
f
Tec
h
n
o
l
o
g
ies
o
f
G
u
e
lmim
(ES
TG
),
I
b
n
Zo
h
r
U
n
iv
e
rsit
y
,
M
o
ro
c
c
o
.
His
re
se
a
rc
h
in
tere
sts
a
re
in
re
n
e
wa
b
le
e
n
e
rg
y
:
p
h
o
t
o
v
o
lt
a
ic
a
n
d
win
d
e
n
e
rg
y
sy
ste
m
s,
p
h
o
t
o
v
o
lt
a
ic
e
m
u
lato
r
s
,
h
y
b
r
id
M
P
P
T
c
o
n
tro
l,
s
y
ste
m
m
o
d
e
li
n
g
,
a
n
d
p
o
we
r
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lec
tro
n
ics
.
He
c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
b
.
b
o
u
a
c
h
r
in
e
@u
iz.ac
.
m
a
.
Mo
h
a
m
e
d
Aj
a
a
m
o
u
m
is
a
p
ro
fe
ss
o
r
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h
.
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.
a
t
th
e
De
p
a
rtm
e
n
t
o
f
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c
tri
c
a
l
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g
i
n
e
e
rin
g
,
Hig
h
S
c
h
o
o
l
o
f
Tec
h
n
o
lo
g
y
o
f
Ag
a
d
ir
,
Ib
n
Zo
h
r
Un
i
v
e
rsity
,
Ag
a
d
ir,
M
o
ro
c
c
o
.
His
re
se
a
rc
h
in
tere
sts
in
c
lu
d
e
p
h
o
to
v
o
lt
a
ic
sy
ste
m
s,
fu
z
z
y
c
o
n
tro
l,
n
e
u
ra
l
n
e
two
rk
s
,
re
n
e
wa
b
le
e
n
e
rg
y
tec
h
n
o
l
o
g
ies
,
sy
ste
m
m
o
d
e
li
n
g
,
a
n
d
p
o
we
r
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lec
tro
n
ics
.
He
c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
m
.
a
jaa
m
o
u
m
@u
iz.ac
.
m
a
.
K
a
o
u
ta
r
Da
h
m
a
n
e
is
a
P
h
.
D
.
stu
d
e
n
t
i
n
En
g
in
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rin
g
S
c
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e
n
c
e
s
a
t
th
e
Ib
n
Zo
h
r
U
n
iv
e
rsit
y
(UIZ)
o
f
Ag
a
d
ir.
S
h
e
is
o
r
ig
i
n
a
ll
y
f
ro
m
Ou
a
rz
a
z
a
t
e
,
M
o
ro
c
c
o
.
As
a
re
se
a
rc
h
stu
d
e
n
t,
sh
e
a
d
d
re
ss
e
s
k
e
y
q
u
e
stio
n
s
in
re
lati
o
n
to
p
o
we
r
sy
ste
m
a
n
d
re
n
e
wa
b
le
e
n
e
rg
y
.
Th
e
m
a
in
a
im
o
f
h
e
r
d
o
c
t
o
ra
l
th
e
sis
is
to
p
e
rf
o
rm
p
o
we
r
q
u
a
n
ti
ty
a
n
d
q
u
a
li
t
y
c
o
n
tro
ls
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g
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-
c
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n
e
c
ted
re
n
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wa
b
le
e
n
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rg
y
s
y
ste
m
s.
S
h
e
c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
k
a
o
u
tar.
d
a
h
m
a
n
e
@e
d
u
.
u
iz.ac
.
m
a
.
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