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,
co
m
b
i
n
i
n
g
t
h
e
S
MC
t
ech
n
i
q
u
e
an
d
P
&
O
(
p
er
t
u
r
b
a
n
d
o
b
s
er
v
e)
o
r
E
S
C
(
ex
t
r
e
m
u
m
s
eek
i
n
g
co
n
t
r
o
l
)
t
ech
n
i
q
u
e,
co
n
t
r
o
l
l
er
s
al
w
a
ys
a
c
t
i
ve
l
y s
e
e
k a
ne
w
o
p
e
r
a
t
i
o
na
l
p
o
i
nt
d
ue
t
o
u
n
k
n
o
w
n
t
h
e v
ar
i
at
i
o
n
o
f
G
a
n
d
T
,
t
h
er
ef
o
r
e t
h
e
y
s
t
i
l
l
h
a
s
t
h
e s
a
m
e ch
ar
act
er
i
s
t
i
c o
f
P
&
O
o
r
E
S
C
t
ech
n
i
q
u
e
[3
],
[
4
],
[5
],
[6
],
[7
]
,
[8
],
[
9
].
T
he
a
b
o
ve
a
na
l
ys
i
s
s
ho
w
s
t
ha
t
t
he
w
a
y t
o
c
o
nt
r
o
l
p
o
w
e
r
c
o
nve
r
t
e
r
n
eed
s
t
o
c
h
an
g
e
t
o
ac
h
i
ev
e
t
h
e
pu
r
pos
e
of
e
x
pl
oi
t
i
ng
m
a
x
i
m
um
a
v
a
i
l
a
bl
e
e
n
e
r
gy
f
r
o
m
P
V
g
.
I
n
pa
r
t
i
c
u
l
a
r
,
t
h
e
i
nf
or
m
a
t
i
on
a
bou
t
M
P
P
m
us
t
be
a
c
c
u
r
a
t
e
l
y
de
t
e
r
m
i
n
e
d be
f
or
e
pr
ov
i
di
n
g a
s
a
de
s
t
i
n
a
t
i
on
t
o t
h
e
c
on
t
r
ol
l
e
r
.
A
t
e
c
hn
i
qu
e
pr
opos
e
d t
o
d
et
er
m
i
n
e
M
P
P
r
ecen
t
l
y
,
ca
l
l
ed
t
h
e
I
B
(
i
t
er
at
i
v
e
an
d
b
i
s
ect
i
o
n
al
)
t
ech
n
i
q
u
e,
can
accu
r
at
el
y
p
r
o
v
i
d
e
p
ar
am
et
er
s
at
M
P
P
u
n
d
er
an
y
o
p
er
at
i
o
n
al
co
n
d
i
t
i
o
n
b
y
u
s
i
n
g
a p
y
r
an
o
m
e
t
er
(
P
Y
R
)
t
o
m
ea
s
u
r
e G
an
d
a
t
e
m
p
er
at
u
r
e s
e
n
s
o
r
(
T
em
p
S
)
t
o
m
eas
u
r
e T
.
T
h
e
I
B
t
ech
n
i
q
u
e h
el
p
s
t
o
cal
cu
l
at
e i
n
s
t
a
nt
a
ne
o
us
va
l
ue
s
o
f
V
m
p
p
o
r
P
m
p
p
a
t M
P
P
w
h
ic
h
i
s
s
e
n
t to
th
e
c
o
n
tr
o
lle
r
to
c
r
e
a
te
a
s
u
ita
b
le
c
o
n
tr
o
l p
u
l
s
e
.
I
n
th
i
s
c
a
s
e
,
th
e
c
o
n
tr
o
lle
r
in
te
r
f
e
r
e
s
to
th
e
p
o
w
e
r
c
ir
c
u
it
o
f
p
o
w
e
r
c
o
n
v
e
r
te
r
s
to
d
r
iv
e
th
e
c
u
r
r
e
n
t o
p
e
r
a
tio
n
a
l p
o
in
t t
o
th
e
d
e
s
ir
e
d
p
o
in
t
(
M
P
P)
.
T
h
i
s
p
ap
er
p
r
o
p
o
s
es
a n
e
w
m
e
t
h
o
d
co
m
b
i
n
i
n
g
t
h
e I
B
t
ech
n
i
q
u
e an
d
t
h
e
S
M
C
t
ec
h
n
i
q
u
e t
o
r
eg
u
l
at
e
a
D
C
/D
C
b
o
o
s
t c
o
n
v
e
r
te
r
.
S
e
c
t
io
n
I
I
w
ill
in
tr
o
d
u
c
e
m
a
t
h
e
m
a
tic
a
l d
e
s
c
r
ip
tio
n
o
f
t
h
e
D
C
/
D
C
b
o
o
s
t c
o
n
v
e
r
te
r
,
t
he
I
B
t
e
c
hni
q
ue
a
nd
t
he
S
M
C
t
e
c
hn
i
q
ue
.
E
q
ui
va
l
e
nt
c
o
n
tr
o
l s
ig
n
a
l
a
n
d
s
ta
b
le
a
n
a
l
y
s
is
w
il
l b
e
r
e
p
r
e
s
e
n
te
d
in
in
s
e
c
tio
n
I
I
I
.
S
e
c
tio
n
I
V
w
ill
s
h
o
w
s
i
m
u
la
tio
n
r
e
s
u
l
ts
a
n
d
c
o
m
m
e
n
t
s
a
n
d
th
e
la
s
t
s
e
c
tio
n
w
il
l r
e
p
r
e
s
e
n
t
s
o
m
e
c
on
c
l
us
i
ons
.
2.
S
T
RUC
T
UR
AL
S
YS
T
E
M
AND M
AT
H
E
M
AT
I
CAL
M
O
DE
L
2
.
1
.
St
r
uc
t
ur
a
l
s
y
s
t
e
m
T
h
e m
eas
u
r
i
n
g
ce
n
t
r
e co
l
l
ect
s
t
h
e i
n
f
o
r
m
at
i
o
n
ab
o
u
t
G
f
r
o
m
t
h
e P
Y
R
,
T
f
r
o
m
t
h
e T
e
m
p
S
,
v
p
v
a
n
d
ip
v
f
r
o
m
v
o
lta
g
e
a
n
d
c
u
r
r
e
n
t
s
e
n
s
o
r
p
la
c
e
d
a
t th
e
o
u
tp
u
t te
r
m
in
a
ls
o
f
P
V
g
.
T
h
e
pr
opos
e
d s
y
s
t
e
m
t
o
e
x
p
lo
it
P
V
g
is
d
e
s
c
r
ib
e
d
in
F
ig
u
r
e
1.
F
i
gu
r
e
1.
T
h
e
pr
opos
e
d
s
t
r
uc
t
ur
e
T
h
e S
M
C
c
o
n
tr
o
lle
r
c
a
lc
u
la
te
s
th
e
e
q
u
i
v
a
le
n
t c
o
n
tr
o
l s
ig
n
a
l (
u
e
q
)
w
h
ic
h
is
p
r
o
v
id
e
d
to
t
h
e
c
o
n
tr
o
l
p
u
l
s
e
g
e
n
er
at
o
r
t
o
cr
eat
e co
n
t
r
o
l
s
i
g
n
al
b
ef
o
r
e s
e
n
d
i
n
g
t
o
a
s
w
i
t
c
h
p
l
aced
i
n
t
h
e
D
C
/
D
C
b
o
o
s
t
co
n
v
er
t
er
.
T
he
o
p
e
r
a
tio
n
a
l s
ta
te
o
f
P
V
g
is
s
p
e
c
if
ie
d
b
y
t
w
o
m
a
in
p
a
r
a
m
e
te
r
s
w
h
ic
h
is
G
a
n
d
T
.
I
n
th
e
p
r
a
c
tic
a
l o
p
e
r
a
tio
n
,
G
an
d
T
al
w
a
y
s
ch
a
n
g
e co
n
t
i
n
u
o
u
s
l
y
t
h
at
m
a
k
e t
h
e o
p
er
at
i
o
n
al
p
o
i
n
t
m
o
v
e a
w
a
y
f
r
o
m
r
eal
MP
P
.
T
h
er
ef
o
r
e,
M
P
P
T
n
eed
s
t
o
u
s
e t
h
e I
B
t
ech
n
i
q
u
e t
o
acc
u
r
at
el
y
cal
c
u
l
at
e p
ar
a
m
et
er
s
a
t
i
n
s
t
a
n
t
a
n
eo
u
s
M
P
P
.
V
al
u
e o
f
V
m
pp de
t
e
r
m
i
n
e
d b
y
M
P
P
T
m
us
t
be
pr
ov
i
de
d t
o t
h
e
S
M
C
c
on
t
r
ol
l
e
r
a
n
d c
on
s
i
de
r
e
d a
s
a
de
s
t
i
n
a
t
i
o
n
f
or
t
h
e
c
on
t
r
ol
l
e
r
u
n
de
r
a
ny
ope
r
a
t
i
on
a
l
c
on
di
t
i
on
.
C
o
m
b
i
ni
n
g t
h
e
I
B
t
e
c
hni
q
ue
a
nd
t
he
S
M
C
t
e
c
h
ni
q
ue
,
a
ne
w
c
on
t
r
ol
m
e
t
h
od i
s
c
on
s
t
r
u
c
t
e
d t
o r
eg
u
l
at
e o
p
er
at
i
o
n
al
m
o
d
es
f
o
r
P
V
g
,
cal
l
ed
I
B
-
S
M
C
m
e
t
hod.
DC
b
us
M
P
PT
(
T
he
IB
t
e
c
hn
i
que
)
S
M
C
c
ont
r
o
ll
e
r
i
pv
+
v
pv
V
dc
-
DC
/
DC
b
oos
t
co
n
v
er
t
er
C
ont
r
o
l
s
igna
l
M
e
a
su
r
in
g
c
en
t
r
e
P
YR
T
h
e
sun
T
em
p
S
G
T
V
mp
p
P
Vg
P
uls
e
g
e
n
e
r
a
t
or
u
e
q
Bat
t
e
ry
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
20
89
-
4856
IJ
RA
V
o
l.
7
, N
o
.
2
,
J
une
201
8
:
96
–
1
07
98
2
.2
.
M
o
d
el
i
n
g
t
h
e D
C
/
D
C
b
o
o
s
t
co
n
v
ert
er
P
ow
e
r
c
i
r
c
u
i
t
of
a
D
C
/
D
C
boos
t c
o
n
v
e
r
te
r
is
d
e
s
c
r
ib
e
d
in
F
ig
u
r
e
2
a
i
nc
l
ud
i
ng a
s
w
i
t
c
h
(
S
W
)
a
nd
e
l
e
m
e
nt
s
(
L
,
C
)
w
hi
c
h i
s
c
a
p
a
b
l
e
o
f
c
ha
r
gi
ng o
r
d
i
s
c
ha
r
gi
ng e
n
e
r
g
y.
E
q
ui
va
l
e
nt
c
i
r
c
ui
t
s
o
f
t
hi
s
c
o
n
ve
r
t
e
r
c
or
r
e
s
pon
di
n
g
t
o on
a
n
d of
f
s
t
a
t
e
s
of
S
W
a
r
e
de
pi
c
t
e
d i
n
F
i
g
ur
e
2b a
n
d F
i
g
ur
e
2c
[
10]
.
W
h
er
e:
R
d
c,
L
d
c ar
e r
es
i
s
t
an
ce a
n
d
i
n
d
u
ct
an
ce o
f
t
h
e i
n
d
u
ct
o
r
p
l
aced
i
n
t
h
e co
n
v
er
t
er
.
C
p
v
,
C
d
c ar
e t
h
e cap
aci
t
an
ce
o
f
cap
aci
t
o
r
s
at
t
h
e P
V
g
s
i
d
e a
n
d
t
h
e D
C
b
u
s
s
i
d
e.
a.
P
o
w
er
ci
r
cu
i
t
b.
E
qu
i
v
a
l
e
n
t
c
i
r
c
u
i
t
c
or
r
e
s
pon
di
ng
t
o S
W
on
c
.
E
q
u
iv
a
le
n
t c
ir
c
u
it c
o
r
r
e
s
p
o
n
d
in
g
to
S
W
o
f
f
Fi
g
ur
e
2.
P
ow
e
r
c
i
r
c
u
i
t
a
n
d e
qu
i
v
a
l
e
n
t
c
i
r
c
u
i
t
s
c
or
r
e
s
pon
di
ng
t
o on
a
n
d of
f
s
t
a
t
e
s
of
SW
A
ppl
y
t
h
e
K
i
r
c
h
h
o
f
f
’
s
f
i
r
s
t
a
nd s
e
c
on
d l
a
w
s
f
or
t
h
e
c
i
r
c
u
i
t
c
or
r
e
s
pon
di
n
g
t
o t
h
e
o
n
a
n
d of
f
s
t
a
t
e
s
of
S
W
,
we
ha
ve
e
q
ua
t
i
o
n
s
(
1
)
a
nd
(
2)
.
T
a
b
l
es
an
d
F
i
g
u
r
e
s
ar
e
p
r
es
en
t
ed
cen
t
er
,
as
s
h
o
w
n
b
el
o
w
an
d
ci
t
ed
i
n
t
h
e
m
a
nus
c
r
i
pt
.
(1
)
(2
)
D
io
d
e
R
dc
,
L
dc
SW
+
+
-
C
dc
V
dc
B
-
C
pv
R
dc
, L
dc
+
+
-
C
dc
V
d
c
-
C
pv
i
C
i
L
i
pv
PV
g
R
dc
, L
dc
+
+
D
C
bus
C
dc
V
d
c
-
C
pv
i
L
i
C
i
pv
PV
g
L
pv
dc
dc
di
v
L
(1
u
)
V
dt
=
+−
pv
pv
pv
L
dv
iC
i
dt
=
+
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
RA
I
SSN
:
2089
-
4856
A
ppl
i
c
at
i
on
of
Sl
i
di
ng
M
ode
C
ont
r
ol
T
e
c
hni
que
t
o R
e
g
ul
at
e
D
C
/
D
C
B
oos
t
C
onv
e
r
t
e
r
s
i
n …
(
L
e
T
i
e
n P
hong
)
99
2
.3
.
M
od
e
l
i
n
g P
V
g
E
q
u
iv
a
le
n
t c
ir
c
u
it o
f
P
V
g
is
d
e
s
c
r
ib
e
d
in
F
ig
ur
e
3 [
11]
.
F
i
gu
r
e
3.
E
q
u
iv
a
le
n
t c
ir
c
u
it o
f
P
V
g
T
he
r
e
l
a
t
i
o
ns
hi
p
b
e
t
w
e
e
n c
ur
r
e
nt
i
p
v a
nd
vo
l
t
a
ge
vp
v a
t
o
u
t
p
ut
t
e
r
m
i
na
l
s
o
f
P
V
g i
s
d
e
f
i
ne
d
b
y
(
3
)
:
(3
)
O
u
t
put
po
w
e
r
f
r
o
m
P
V
g
i
s
de
f
i
n
e
d
b
y
(4
):
(4
)
w
h
e
r
e
:
R
S
is
s
e
r
ie
s
r
e
s
is
to
r
;
R
p
is
p
a
r
a
lle
l r
e
s
i
s
to
r
; I
0
is
r
e
s
e
r
v
e
s
a
tu
r
a
t
io
n
c
u
r
r
e
n
t;
I
p
h
is
p
h
o
to
-
g
en
er
at
ed
c
u
r
r
e
n
t; V
t i
s
th
e
m
a
l
v
o
lta
g
e
a
t p
-
n
j
u
n
c
tio
n
s
; n
i
s
id
e
a
lit
y
f
a
c
to
r
.
2
.4
.
D
e
s
c
r
i
pt
i
o
n o
f
t
he
I
B
t
e
c
hni
q
ue
T
he
I
B
t
e
c
hni
q
ue
i
s
p
r
o
p
o
s
ed
b
as
i
n
g
o
n
accu
r
at
el
y
m
a
t
h
e
m
at
i
cal
m
o
d
el
o
f
P
V
g
t
o
h
av
e p
ai
r
-
va
l
ue
(
V
m
pp,
I
m
pp)
c
or
r
e
s
pon
di
n
g t
o t
h
e
pe
a
k
of
t
h
e
v
¬
p
v
-
p
pv
cu
r
v
e
w
h
i
c
h
i
s
s
et
b
y
a
v
al
u
e
-
p
a
i
r (G
,
T
).
B
y
co
m
b
i
n
i
n
g
t
h
e
i
t
er
at
i
v
e
t
ec
h
n
i
q
u
e
an
d
b
i
s
ect
i
o
n
al
t
ech
n
i
q
u
e,
M
P
P
T
cal
cu
l
at
es
an
d
o
b
s
e
r
v
e
p
o
w
er
v
a
l
u
e
o
f
c
o
n
tin
u
o
u
s
th
r
e
e
p
o
in
t
s
to
h
a
v
e
th
e
e
v
a
l
u
a
tio
n
a
b
o
u
t th
e
m
o
v
in
g
s
ta
te
m
e
n
t o
f
o
p
e
r
a
tin
g
p
o
in
ts
.
T
he
I
B
te
c
hn
i
q
u
e i
s
r
ep
r
es
en
t
ed
i
n
F
i
g
u
r
e 4
.
F
i
gu
r
e
4.
T
h
e I
B
t
ech
n
i
q
u
e t
o
d
et
er
m
i
n
e MP
P
+
-
v
pv
i
pv
R
S
R
p
I
p
I
d
I
ph
A
D
io
d
e
+
-
pv
pv
s
pv
pv
s
pv
ph
0
t
p
v
i
R
v
i
R
i
I
I
e
x
p
1
nV
R
++
=
−
−
−
pv
pv
pv
p
vi
=
S
t
a
r
t
S
e
t
i
nit
ia
l
va
lu
e
of
v
pv
(
i
)
C
a
lc
ula
t
e
va
l
u
e
of
p
pv
(
i
)
v
pv
(
i
+
1
)
=
v
pv
(
i
)
+
∆
V
v
pv
(
i
+
2
)
=
v
pv
(
i
)
+
2
∆
V
Ent
e
r
p
a
r
a
m
e
t
e
r
s
of
P
Vg
C
a
lc
ula
t
e
i
pv
(
i
+
1
)
,
i
pv
(
i
+
2
)
p
pv
(
i
+
1
)
,
p
pv
(
i
+
2
)
p
pv
(
i
)
=
p
pv
(
i
+
1
)
p
pv
(
i
)
<
p
pv
(
i
+
1
)
p
pv
(
i
+
1
)
<
p
pv
(
i
+
2
)
Y
N
Y
N
Y
N
p
pv
(
i
+
3
)
–
ma
x
{
p
pv
(
i
)
,
p
pv
(
i
)
+1
,
p
pv
(
i+
2
)
}<
ε
S
t
op
P
mp
p
=
p
pv
(
i
+
2
)
V
mp
p
=v
pv
(
i
+
2
)
i
=
i
+1
i
=
i
+1
Y
N
v
pv
(
i
+
3
)
=
v
pv
(
i
+
1
)
–
0
.
5
∆
V
v
pv
(
i
+
3
)
=
v
pv
(
i
+
1
)
+
0
.
5
∆
V
v
pv
(
i
+
3
)
=
v
pv
(
i
+
2
)
+
0
.
5
∆
V
C
a
lc
ula
t
e
p
pv
(
i
+
3
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
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89
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4856
IJ
RA
V
o
l.
7
, N
o
.
2
,
J
une
201
8
:
96
–
1
07
100
3.
TH
E I
B
-
S
M
C
M
ETH
O
D
3
.1
.
S
t
at
e
s
ys
t
e
m
of
e
q
u
at
i
on
s
R
e
w
r
i
t
e (
1
)
an
d
(
2
)
e
q
u
at
i
o
n
s
,
w
e
h
av
e t
h
e s
t
a
t
e s
y
s
t
e
m
o
f
eq
u
at
i
o
n
s
(5
)
:
(
5
)
w
h
e
r
e
:
x=
[
x1
x2
]
=
[
i
L
vp
v]
i
s
t
he
s
ta
te
v
e
c
to
r
,
is
d
r
if
t v
e
c
t
o
r
,
is
c
o
n
tr
o
l v
e
c
to
r
3.
2
.
M
ặ
t
t
rượ
t
T
o
c
on
t
r
ol
D
C
/
D
C
boos
t
c
on
ve
r
t
e
r
,
s
l
i
di
n
g
s
u
r
f
a
c
e
i
s
de
f
i
n
e
d by
a
f
un
c
t
i
on
a
s
de
pi
c
t
e
d i
n
(
6)
o
r
(
7
)
:
or
(6
)
(7
)
wh
e
r
e
:
V
mp
p
i
s
t
h
e
v
a
l
u
e
o
f
v
o
l
t
a
g
e
at
M
P
P
w
h
i
ch
m
u
s
t
b
e r
each
e
d
(
t
h
e r
es
u
l
t
o
f
t
h
e I
B
t
ec
h
n
i
q
u
e a
n
d
co
n
s
i
d
er
ed
as
a co
n
s
t
an
t
at
t
h
e co
n
s
i
d
er
ed
t
i
m
e co
r
r
es
p
o
n
d
i
n
g
t
o
a p
ai
r
-
v
a
l
u
e
(G
,
T
)),
i
pv
is
th
e
f
u
n
c
tio
n
o
f
v
a
r
ia
b
le
x
2
(i
pv
=i
p
v
(x
2
)),
Kb
is
a
r
e
a
l
num
be
r
t
h
a
t
i
s
s
pe
c
i
f
i
e
d f
or
hy
s
t
e
r
e
s
i
s
ba
n
d of
o
u
t
pu
t
v
ol
t
a
g
e
of
P
V
g
,
K
c
(
V
/
A
)
i
s
t
he
q
ua
nt
i
t
y
wh
i
c
h
e
v
al
u
at
es
t
h
e r
el
at
i
v
e s
l
i
d
i
n
g
s
p
eed
b
et
w
ee
n
v
o
l
t
a
g
e a
n
d
cu
r
r
en
t
o
f
C
p
v
.
V
al
u
e o
f
K
b
a
f
f
e
c
t
s
t
o
t
he
c
ha
t
t
e
r
i
ng p
he
no
m
e
no
n (
vi
b
r
a
t
i
o
n o
f
vp
v a
r
o
u
n
d
V
m
pp)
i
n
t
h
e
S
M
C
t
e
c
hn
i
q
ue
[
3]
.
3.
3
.
S
t
ab
l
e
an
al
ys
i
s
T
o s
l
i
de
t
o M
P
P
,
dy
n
a
m
i
c
o
f
s
l
i
di
ng
m
ode
i
s
de
s
c
r
i
b
ed
o
n
t
h
e
L
ap
l
ace d
o
m
a
i
n
b
y
(
6
)
a
nd
t
he
f
ol
l
o
w
i
ng
e
qu
a
t
i
on
(
8)
[3
]:
(
8
)
T
o
ach
i
ev
e
M
P
P
,
e
q
ua
t
i
o
n (
8
)
s
ho
w
s
t
ha
t
va
l
ue
o
f
K
b
a
nd
K
c
m
us
t
ha
ve
t
he
s
a
m
e
s
i
gn.
T
h
e t
i
m
e d
er
i
v
at
i
v
e
of
t
h
e
s
l
i
di
ng
s
u
r
f
a
c
e
i
s
de
f
i
n
e
d by
(
7)
a
n
d t
h
e
f
ol
l
o
w
i
ng
e
qua
t
i
on
(
9)
:
(9
)
A
c
c
or
di
ng
t
o L
y
a
pun
ov’
s
t
h
e
or
y
,
(
10)
m
us
t
be
a
l
w
a
y
s
s
u
i
t
a
bl
e
t
o e
x
i
s
t
s
t
a
bl
y
a
r
oun
d t
h
e
s
l
i
di
ng
s
u
r
f
a
c
e
[
12]
,
[
13]
:
2
dc
dc
1
dc
dc
pv
1
2
pv
xV
V
xu
LL
i
x
x
C
−
=
+
−
=
2
dc
dc
pv
1
pv
xV
L
f
(x
)
i
x
C
−
=
−
dc
dc
V
L
g(
x
)
0
=
b
2
mp
p
c
C
h
K
(x
V
)
K
i
0
=
−
+=
b
2
mp
p
c
C
h
K
(x
V
)
K
i
0
=
−
+=
2
C
pv
dx
i
C
dt
=
b
pv
2
2
m
pp
c
K
s
C
x
(x
V
)
K
⇔
=
−−
2
c
pv
mp
p
b
x
(s
)
1
KC
V
(s
)
1s
K
⇔=
+
pv
21
bc
c
di
dx
dx
dh
KK
K
dt
dt
dt
dt
=
+
−
pv
2
dc
dc
22
bc
c
2
dc
dc
di
xV
V
dx
dx
hK
K
K
u
dt
dx
dt
L
L
−
⇔=
+
−
+
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
RA
I
SSN
:
2089
-
4856
A
ppl
i
c
at
i
on
of
Sl
i
di
ng
M
ode
C
ont
r
ol
T
e
c
hni
que
t
o R
e
g
ul
at
e
D
C
/
D
C
B
oos
t
C
onv
e
r
t
e
r
s
i
n …
(
L
e
T
i
e
n P
hong
)
101
(
10
)
U
s
i
n
g
(
9
)
an
d
(
1
0
)
,
w
e
h
av
e b
o
u
n
d
ar
i
es
t
o
l
i
m
i
t
t
h
e
s
t
ab
l
e ar
ea i
n
t
h
e
p
r
o
ces
s
o
f
s
l
i
d
i
n
g
t
h
e c
u
r
r
en
t
ope
r
a
t
i
on
a
l
poi
n
t
t
o a
n
e
w
ope
r
a
t
i
on
a
l
poi
n
t
(
11)
:
(1
1
)
w
h
er
e,
pv
bc
2
di
A=
K
K
dx
+
,
P
l
ac
ed
X=
x
2
-
V
mp
p
,
Y=
x
1
-
I
mp
p
I
t
m
u
s
t
b
e
c
h
o
s
e
n
K
b
,
K
c
t
o
h
a
v
e
A
≠
0
u
n
d
e
r
a
n
y
ope
r
a
t
i
on
a
l
c
on
di
t
i
on
.
F
r
o
m
(
11)
,
w
e
h
a
v
e
e
qu
a
t
i
on
s
(
12)
a
n
d (
13)
t
h
a
t
r
e
pr
e
s
e
n
t
l
i
n
e
s
o
f
t
h
e
s
t
a
bl
e
boun
da
r
y
i
n t
he
O
X
Y
p
l
a
ne
:
(1
2
)
(
13
)
T
h
e s
t
ab
l
e ar
ea (
s
h
ad
ed
ar
ea)
t
o
ex
i
s
t
t
he
s
l
i
d
i
ng
m
o
d
e
i
n t
he
O
X
Y
p
l
a
ne
i
s
d
e
s
c
r
i
b
e
d
i
n F
i
g
ur
e
5.
F
i
gu
r
e
5.
T
h
e s
t
ab
l
e ar
ea t
o
ex
i
s
t
t
h
e
s
l
i
d
i
n
g
m
o
d
e i
n
p
h
as
e p
l
an
e co
r
r
es
p
o
n
d
i
n
g
t
o
t
h
e D
C
/
D
C
b
o
o
s
t
co
n
v
er
t
er
W
h
e
r
e
,
l
i
n
e
s
d1,
d2,
d
3,
d
4 a
n
d X
-
v
a
l
u
e
of
M
a
n
d N
poi
n
t
s
a
r
e
de
f
i
n
e
d b
y
(
14)
,
(
1
5
),
(1
6
),
(1
7
),
(1
8
),
(
1
9
):
(1
4
)
(1
5
)
h0
u1
u1
,
h
0
h0
u0
u0
,
h0
dh
dh
li
m
0
dt
dt
dh
dh
li
m
0
dt
dt
−
+
→
=
=
=
→
=
=
=
=
>
=
<
(
)
pv
1
pv
c
2
dc
pv
pv
b
c
1
pv
c
dc
c
2
dc
dc
C
Ax
Ai
K
x
L
CC
K
K
a
x
Ai
K
V
K
x
L
L
<
−
+
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pv
c
pv
m
pp
dc
CK
Y
i
(X
V
)
AL
=
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pv
c
pv
c
pv
dc
2
m
pp
m
pp
dc
dc
CK
CK
Y
i
V
(x
V
)
I
AL
AL
=
+
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X
Y
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)
(
A
<0
)
A
>0
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(d4
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(
A
<0
)
A
>0
M
(
X
M
,
0
)
N
(
X
N
,
0
)
pv
c
pv
c
1
pv
dc
2
m
pp
m
pp
dc
dc
CK
CK
d
:
Y
i
V
(x
V
)
I
AL
AL
=
+
−
+
+
pv
c
pv
c
2
pv
dc
m
pp
m
pp
dc
dc
CK
CK
d
:
Y
i
V
(X
V
)
I
AL
AL
=
+
−
+
+
Evaluation Warning : The document was created with Spire.PDF for Python.
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V
o
l.
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, N
o
.
2
,
J
une
201
8
:
96
–
1
07
102
(1
6
)
(1
7
)
(1
8
)
(1
9
)
U
s
in
g
th
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s
l
id
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u
r
f
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ab
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t is
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es
cr
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i
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r
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i
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h
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pr
oc
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L
g
h
a
nd
L
fh
ar
e d
ef
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n
ed
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y
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20)
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nd
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21)
:
(
20
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pv
c
3
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m
pp
dc
CK
d
:
Y
i
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V
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AL
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c
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m
pp
dc
CK
d
:
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i
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V
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AL
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pp
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c
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L
X
VV
CK
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dc
N
mp
p
pv
c
Ai
L
XV
CK
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+
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Y
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d3)
(
d2)
(
d1)
h
=
0
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d4)
δ
δ
h
+
h
-
M
N
[
]
dc
dc
gc
T
V
h
L
L
h
g(
x
)
K
A
x
0
∂
=
=
−
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dc
gc
dc
V
Lh
K
L
⇔=
−
Evaluation Warning : The document was created with Spire.PDF for Python.
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ppl
i
c
at
i
on
of
Sl
i
di
ng
M
ode
C
ont
r
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T
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c
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D
C
B
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C
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r
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r
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i
n …
(
L
e
T
i
e
n P
hong
)
103
(
21)
F
r
o
m
(
20)
a
n
d (
2
1)
,
u
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q (
0 <
u
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S
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6
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V
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ta
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P
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V
)
2
4
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2
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u
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t
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M
P
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(A
)
6
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8
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(%
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f
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(%
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3
46
P
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(%
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4
78
P
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r
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61
6
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t
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r
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h
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s
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:
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4
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(
25)
[
]
2
dc
dc
fc
T
pv
1
pv
xV
L
h
L
h
f
(x
)
K
A
i
x
x
C
−
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=
=
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1
2
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fc
dc
dc
i
x
xV
Lh
K
A
L
C
−
−
⇔=
−
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1
2
dc
c
dc
pv
e
q
dc
c
dc
i
x
xV
KA
LC
u
V
K
L
−
−
−
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=
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1
dc
2
dc
e
q
dc
c
dc
pv
i
x
V
x
AL
u
V
KV
C
−
−
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9
n
(
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1
0.008017
T
T
400000
=
−
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t
pv
0
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(t
)
p
(t
)
d
t
=
∫
mp
p
A(
t
)
H
%
100%
A
=
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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IJ
RA
V
o
l.
7
, N
o
.
2
,
J
une
201
8
:
96
–
1
07
104
4
.
2
.
Si
m
ul
a
t
i
o
n r
e
s
ul
t
s
T
o
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h
e ef
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f
K
b
t
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y
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s
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d
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M
C
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t
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w
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c=
-
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n
s
t
a
n
t
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a
l
u
es
o
f
T
ar
e g
i
v
en
w
i
t
h
d
i
s
cr
et
e v
al
u
es
o
f
2
5
0
C
,
350C
,
450C
,
55
0C
,
650C
.
S
i
m
ul
a
t
i
on
t
i
m
e
i
s
1s
c
or
r
e
s
pon
di
n
g
t
o
t
h
r
e
e
l
e
v
e
l
s
G
=
1000W
/
m
2,
G
=
600W
/
m
2
a
n
d G
=
200W
/
m
2.
S
i
m
u
l
a
t
i
on
r
e
s
u
l
t
s
a
r
e
r
ep
r
es
en
t
ed
i
n
F
i
g
u
r
e
7
,
F
i
gur
e
8
a
nd
F
i
g
ur
e
9.
F
i
gu
r
e
7.
E
n
e
r
gy
e
f
f
i
c
i
e
n
c
y
c
o
r
r
e
s
pon
di
n
g
t
o G
=
1000W
/
m
2
F
i
gu
r
e
8.
E
n
e
r
gy
e
f
f
i
c
i
e
n
c
y
c
o
r
r
e
s
pon
di
n
g
t
o G
=
600W
/
m
2
F
i
gu
r
e
9.
E
n
e
r
gy
e
f
f
i
c
i
e
n
c
y
c
o
r
r
e
s
pon
di
n
g
t
o G
=
200W
/
m
2
25
35
45
55
65
Temperature ( C)
96
96.5
97
97.5
98
98.5
99
99.5
100
Energy efficiency H%
G=-0.183
G=-0.183*G/Gstc
0
25
35
45
55
65
Temperature ( C)
95
96
97
98
99
100
Energy efficiency H%
Ka=-0.183
Ka=-0.183*G/Gstc
0
25
35
45
55
65
Temperature ( C)
80
85
90
95
100
Energy efficiency H%
Ka=-0.183
Ka=-0.183*G/Gstc
0
Evaluation Warning : The document was created with Spire.PDF for Python.
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ppl
i
c
at
i
on
of
Sl
i
di
ng
M
ode
C
ont
r
ol
T
e
c
hni
que
t
o R
e
g
ul
at
e
D
C
/
D
C
B
oos
t
C
onv
e
r
t
e
r
s
i
n …
(
L
e
T
i
e
n P
hong
)
105
S
i
m
ul
a
t
i
o
n r
e
s
ul
t
s
o
b
t
a
i
ne
d
i
n F
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