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u
r
e
1
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u
r
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u
r
e
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.
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ir
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it d
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N
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R
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e
Fig
u
r
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3
s
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o
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o
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ad
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u
s
tab
le
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ee
d
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e
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h
m
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ied
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o
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r
ce
in
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ter
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ed
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th
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ied
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ter
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ter
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m
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o
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ter
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e
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r
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u
r
e
3
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ir
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I
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N
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et
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L
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an
d
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1
=
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2
=V
c
(
1
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Du
r
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ter
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ted
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r
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r
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t
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e
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h
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ab
o
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e
eq
u
atio
n
p
r
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v
e
t
h
at
in
t
h
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n
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m
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et
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o
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s
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ax
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m
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lin
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v
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s
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ter
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n
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e
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is
b
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o
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t f
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h
e
m
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x
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m
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m
u
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t
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ase
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o
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e
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n
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e
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as
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6
)
W
h
er
e
M
is
m
o
d
u
lat
io
n
r
atio
.
4
.
1
.
I
nrus
h
Curre
nt
Fro
m
t
h
e
eq
u
at
io
n
(
4
)
th
e
ca
p
ac
ito
r
v
o
ltag
e
d
u
r
in
g
s
tar
t
u
p
i
s
ze
r
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as
t
h
e
s
h
o
o
t
t
h
r
o
u
g
h
d
u
t
y
r
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D
o
is
ze
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o
.
T
h
u
s
,
t
h
is
m
o
d
if
ied
to
p
o
lo
g
y
h
ase
i
n
h
er
en
t li
m
i
tatio
n
ab
ilit
y
to
t
h
e
in
r
u
s
h
cu
r
r
e
n
t.
4
.
2
.
Z
-
So
urce
Ca
pa
cit
o
r
Vo
lt
a
g
e
Str
ess
T
h
e
p
ea
k
v
alu
e
o
f
d
c
-
li
n
k
v
o
l
tag
e
i
n
b
o
th
t
h
e
to
p
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lo
g
ies
ar
e
s
a
m
e
a
n
d
th
e
ca
p
ac
ito
r
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o
lt
ag
e
ca
n
b
e
d
ec
r
ea
s
ed
b
y
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o
w
h
er
ea
s
t
h
e
v
o
ltag
e
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o
o
s
t
is
m
ai
n
ta
in
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n
s
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t.
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n
th
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n
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en
tio
n
al
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p
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ito
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lta
g
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tr
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s
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s
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ec
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m
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t
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tain
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ax
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m
u
m
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t
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u
s,
m
o
d
if
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s
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ce
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v
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g
e
s
tr
ess
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r
o
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s
t
h
e
ca
p
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d
h
en
ce
lo
w
v
a
lu
e
ca
p
ac
ito
r
s
c
an
b
e
u
tili
s
ed
.
5.
SI
M
UL
AT
I
O
N
R
E
S
UL
T
S
T
h
e
s
i
m
u
latio
n
r
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lts
o
f
co
n
v
en
tio
n
al
Z
SI
is
s
h
o
w
n
i
n
t
h
e
F
ig
u
r
e
4
.
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t
d
ep
icts
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h
e
d
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li
n
k
cu
r
r
en
t
o
f
th
e
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l
in
k
ca
p
ac
ito
r
s
in
a
ad
j
u
s
tab
le
d
r
iv
e
s
y
s
te
m
w
it
h
co
n
v
en
t
io
n
al
Z
SI
at
it
s
b
ac
k
en
d
.
T
h
e
Fig
u
r
e
5
s
h
o
w
s
th
e
s
i
m
u
latio
n
r
es
u
lts
o
f
m
o
d
if
ied
Z
SI.
T
h
e
A
SD
s
y
s
te
m
i
n
b
o
th
th
e
ca
s
es
is
co
n
s
id
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ed
w
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s
in
g
le
p
h
as
e
Vien
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tifie
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e
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u
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r
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ied
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ter
in
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h
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as
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ed
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o
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t
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i
n
v
er
ter
f
o
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j
u
s
tab
le
s
p
ee
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d
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T
h
e
s
i
m
u
latio
n
r
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u
lt
s
ar
e
c
o
m
p
ar
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w
it
h
th
e
co
n
v
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t
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s
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i
n
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ter
to
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g
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a.
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n
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tain
s
i
m
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lar
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o
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t a
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p
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ito
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e
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s
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p
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RE
F
E
R
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NC
E
S
[1
]
F
.
Z.
P
e
n
g
,
“Z
-
so
u
rc
e
i
n
v
e
rter
”
,
IEE
E
T
ra
n
s,
I
n
d
.
Ap
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v
o
l.
3
9
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n
o
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2,
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p
.
5
0
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1
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M
a
r/A
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r.
2
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.
[2
]
J.C.
Ro
sa
s
-
Ca
ro
,
F
.
Z.
P
e
n
g
,
H.
Ch
a
a
n
d
C
.
Ro
g
e
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“
Z
-
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rter
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ro
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d
”
,
IEE
E
T
ra
n
s.
In
d
.
El
e
c
tro
n
.
,
v
o
l,
5
6
,
no.
1
2
,
pp.
4
8
9
4
-
4
9
0
2
.
De
c
.
2
0
0
9
.
[3
]
D.
V
in
n
ik
o
v
,
I.
Ro
a
sto
,
“
Qu
a
si
-
Z
-
so
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rc
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-
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se
d
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late
d
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o
r
d
istri
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ted
p
o
w
e
r
g
e
n
e
ra
ti
o
n
”
,
IEE
E
T
ra
n
s.
I
n
d
El
e
c
tro
n
.
v
o
l.
5
8
.
no.
1,
p
p
.
1
9
2
-
2
0
1
,
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n
.
2
0
1
1
.
[4
]
D.
V
in
n
ik
o
v
,
I.
Ro
a
sto
,
R.
S
trze
lec
k
i,
a
n
d
M
.
A
d
a
m
o
w
ie
z
,
“
S
tep
-
u
p
DC/DC
c
o
n
v
e
rters
w
it
h
c
a
sc
a
d
e
d
q
u
a
si
-
Z
-
so
u
rc
e
n
e
tw
o
rk
”
,
IEE
E
T
ra
n
s.
I
n
d
El
e
c
tro
n
.
v
o
l.
5
9
.
no.
10
p
p
.
3
7
2
7
-
3
7
3
6
,
Oc
t.
2
0
1
2
.
[5
]
B
Zh
a
o
,
Q.
Yu
.
Z.
L
e
n
g
,
a
n
d
X
.
Ch
e
n
,
“
S
w
it
c
h
e
d
Z
-
so
u
rc
e
is
o
late
d
b
id
irec
ti
o
n
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l
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-
DC
c
o
n
v
e
rter
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n
d
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s
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h
a
se
-
sh
if
ti
n
g
sh
o
o
t
th
r
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g
h
b
iv
a
riate
c
o
o
r
d
in
a
ted
c
o
n
tro
l
stra
teg
y
”
,
IEE
E
T
ra
n
s.
In
d
.
El
e
c
tro
n
v
o
l.
5
9
.
n
o
.
1
2
,
pp.
4
6
5
7
-
4
6
7
0
,
De
c
.
2
0
1
2
.
[6
]
M
.
K.
Ng
u
y
e
n
.
Y.C.
L
i
m
,
a
n
d
Y.J.
Kim
,
“
A
m
o
d
i
f
ied
sin
g
le
p
h
a
se
q
u
a
si
-
Z
-
so
u
rc
e
A
C
-
AC
c
o
n
v
e
rter
”
,
IEE
E
T
ra
n
s.
Po
we
r E
lec
tro
n
.
v
o
l.
2
7
,
n
o
.
1,
p
p
.
2
0
1
-
2
1
0
,
Ja
n
.
2
0
1
2
.
[7
]
J.
A
n
d
e
rso
n
a
n
d
F
.
Z.
P
e
n
g
,
“
Fo
u
r
q
u
a
si
-
Z
-
so
u
rc
e
in
v
e
rte
rs
”
,
in
P
ro
c
.
IEE
E
P
E
S
C,
2
0
0
8
,
p
p
.
2
7
4
3
-
2
7
4
9
.
[8
]
F
.
Z.
P
e
n
g
,
M.
S
h
e
n
n
d
Z
.
Qia
n
,
“
M
a
x
i
m
u
m
b
o
o
st
c
o
n
tr
o
l
o
f
th
e
Z
-
so
u
rc
e
in
v
e
rter”
,
IEE
E
T
ra
n
s.
Po
we
r
El
e
c
tro
n
.
v
o
l.
2
0
,
no.
4,
p
p
.
8
3
3
-
8
3
8
,
Ju
l.
2
0
0
5
.
[9
]
M.
S
h
e
n
,
J.
W
a
n
g
,
A.
Jo
se
p
h
,
F
.
Z.
P
e
n
g
,
L
.
M
.
T
o
lb
e
rt
a
n
d
D.J.
A
d
a
m
s,
“
Co
n
sta
n
t
b
o
o
st
c
o
n
tr
o
l
o
f
th
e
Z
-
so
u
rc
e
in
v
e
rter
to
m
in
im
ise
c
u
rre
n
t
rip
p
le
a
n
d
v
o
lt
a
g
e
stre
ss
”
,
IEE
E
T
ra
n
s.
I
n
d
.
Ap
p
l
,
v
o
l.
4
2
,
no.
3,
pp.
770
-
7
7
8
,
M
a
y
-
Ju
n
.
2
0
0
6
.
[1
0
]
C.
J.
G
a
jan
a
y
a
k
e
,
D.M
.
V
il
a
th
g
a
m
u
w
a
,
a
n
d
P
.
C.
L
o
h
,
“
De
v
e
lo
p
m
e
n
t
o
f
a
c
o
m
p
re
h
e
n
siv
e
m
o
d
e
l
a
n
d
a
m
u
lt
il
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o
p
c
o
n
tro
ll
e
r
f
o
r
Z
-
so
u
rc
e
in
v
e
rter DG
s
y
ste
m
s
”
,
IEE
E
T
ra
n
s.
In
d
.
El
e
c
tro
n
.
v
o
l
.
5
4
,
n
o
.
4,
p
p
.
2
3
5
2
-
2
3
5
9
,
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u
g
.
2
0
0
7
.
[1
1
]
M
.
K.
Ng
u
y
e
n
.
Y.C.
L
i
m
,
a
n
d
Y.J.
Kim
,
“
A
m
o
d
if
i
e
d
sin
g
le
p
h
a
se
q
u
a
si
-
Z
-
so
u
rc
e
A
C
-
A
C
c
o
n
v
e
rter
”
,
IEE
E
T
ra
n
s.
Po
we
r E
lec
tro
n
.
v
o
l.
2
7
,
n
o
.
1,
p
p
.
2
0
1
-
2
1
0
,
Ja
n
.
2
0
1
2
.
[1
2
]
M.
S
h
e
n
,
F
.
Z.
P
e
n
g
,
“
Op
e
ra
ti
o
n
m
o
d
e
s
a
n
d
c
h
a
ra
c
t
e
risti
c
s
o
f
th
e
Z
-
so
u
rc
e
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e
rter
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h
s
m
a
ll
in
d
u
c
tan
c
e
o
r
lo
w
p
o
w
e
r
f
a
c
to
r
”
,
IEE
E
T
r
a
n
s.
I
n
d
.
El
e
c
tro
n
.
v
o
l
.
5
5
,
n
o
.
1,
p
p
.
89
-
9
6
,
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n
.
2
0
0
8
.
[1
3
]
A
ra
sa
k
u
m
a
r
sa
n
g
a
ri
a
n
d
R.
U
m
a
m
a
h
e
s
w
a
ri
,
“
A
n
a
l
y
sis
o
f
i
m
p
e
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n
c
e
so
u
rc
e
in
v
e
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o
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g
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o
r
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ra
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o
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p
v
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e
rter”
,
In
ter
n
a
to
n
a
l
J
o
u
r
n
a
l
o
f
Po
we
r
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e
c
tro
n
ics
a
n
d
Dr
i
v
e
S
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ste
ms
(
I
J
PE
DS
),
v
o
l.
6,
n
o
.
4,
p
p
.
7
9
7
-
8
0
7
,
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c
.
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0
1
5
.
[1
4
]
Ha
m
id
Re
z
a
M
o
h
a
m
m
a
d
i,
A
li
Ak
h
a
v
a
n
,
“
A
n
e
w
c
o
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tro
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m
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th
o
d
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rid
c
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e
m
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a
se
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n
q
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m
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lt
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rt
e
r
u
sin
g
e
v
o
lu
ti
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n
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ry
a
lg
o
rit
h
m
”
,
In
ter
n
a
t
o
n
a
l
J
o
u
rn
a
l
o
f
Po
we
r
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e
c
tro
n
ics
a
n
d
Dr
ive
S
y
ste
ms
(
IJ
PE
DS
),
v
o
l.
6,
n
o
.
1,
p
p
.
1
0
9
-
1
2
0
,
M
a
rc
h
.
2
0
1
5
.
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[1
5
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S.
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h
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a
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D.K.
Ja
in
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As
h
o
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k
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m
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d
ia.
Evaluation Warning : The document was created with Spire.PDF for Python.