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-
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1
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1
3
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,
[
1
4
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.
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R
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[
1
5
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6
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[
1
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n
d
to
i
n
v
er
ter
p
o
w
er
cir
cu
it
[
1
8
]
.
I
n
th
is
p
r
o
p
o
s
ed
m
et
h
o
d
,
im
p
le
m
e
n
tatio
n
o
f
co
u
p
led
in
d
u
c
to
r
b
ased
7
lev
el
in
v
er
ter
w
it
h
r
ed
u
ce
d
n
u
m
b
er
s
w
i
tch
e
s
.
T
h
e
m
ai
n
p
u
r
p
o
s
e
o
f
th
e
s
y
s
te
m
to
r
ed
u
ce
th
e
v
o
lta
g
e
r
atin
g
s
o
f
p
o
w
er
s
w
itc
h
,
r
ed
u
ce
d
d
i/d
t
p
r
o
d
u
ctio
n
,
r
ed
u
ce
d
h
ar
m
o
n
ic
d
is
to
r
tio
n
,
m
u
ltil
e
v
el
o
u
tp
u
t
v
o
lta
g
e
w
i
th
co
m
b
in
ed
v
o
ltag
e
v
al
u
es,
lo
w
er
s
w
itc
h
in
g
f
r
eq
u
e
n
c
y
an
d
co
s
t
o
f
s
y
s
te
m
is
lo
w
.
An
d
co
u
p
le
d
in
d
u
cto
r
a
v
o
id
th
e
u
s
a
g
e
o
f
tr
an
s
f
o
r
m
er
a
n
d
its
u
s
ed
to
s
y
n
ch
r
o
n
ize
w
it
h
a
c
ap
p
licatio
n
s
.
T
o
co
n
tr
o
l
th
is
s
y
s
te
m
h
y
s
ter
esi
s
c
u
r
r
en
t
co
n
t
r
o
l
m
et
h
o
d
i
m
p
le
m
en
ted
w
it
h
m
atlab
-
s
i
m
u
li
n
k
a
n
d
d
s
p
co
n
tr
o
ller
.
2.
P
O
WE
R
CIR
CUI
T
2
.
1
.
Circ
uit
Str
uct
ure
I
n
F
ig
u
r
e
1
s
h
o
w
s
p
o
w
er
cir
c
u
it
o
f
7
le
v
el
in
v
er
ter
,
w
h
ich
co
n
s
is
ts
o
f
d
c
li
n
k
ca
p
ac
ito
r
C
1
,
C
2
,
C
3
ac
r
o
s
s
th
e
ap
p
lied
d
c
s
o
u
r
ce
.
P
o
w
er
s
e
m
ico
n
d
u
cto
r
s
w
itc
h
e
s
S
1
,
S
2
, S
3
a
n
d
S
4
a
n
d
f
r
ee
w
h
e
elin
g
d
io
d
es D
1
, D
2
,
D
3
,
an
d
D
4
ar
e
u
s
ed
to
co
m
b
in
e
th
e
v
o
lta
g
es
to
ac
q
u
ir
e
th
e
7
lev
el
v
o
lta
g
es.
An
d
w
h
ic
h
co
n
tain
s
co
n
v
e
n
tio
n
a
l
2
lev
el
VSI
cir
cu
it is
ad
d
ed
w
i
th
f
r
o
n
t c
ir
cu
it,
w
h
ic
h
co
n
s
is
ts
o
f
p
o
w
er
s
w
i
tch
e
s
S
5
, S
6
, S
7
,
an
d
S
8
an
d
co
u
p
led
in
d
u
cto
r
is
u
s
ed
co
n
n
ec
t
w
it
h
l
o
ad
cir
cu
it.
Fig
u
r
e
1
.
P
o
w
er
cir
cu
it o
f
7
-
le
v
el
v
o
lta
g
e
i
n
v
er
ter
2
.
2
.
M
o
des
o
f
O
pera
t
i
o
n
Fro
m
t
h
e
p
o
w
er
cir
c
u
it
o
f
7
-
lev
el
v
o
ltag
e
in
v
er
ter
h
as
th
e
f
o
llo
w
in
g
s
ev
e
n
s
w
itc
h
in
g
m
o
d
e
co
m
b
i
n
atio
n
s
.
I
n
th
at
m
o
d
e
1
-
3
s
h
o
w
s
t
h
e
p
o
s
iti
v
e
v
o
ltag
e
lev
el
s
w
itc
h
i
n
g
co
m
b
in
at
io
n
s
,
m
o
d
e
4
-
6
s
h
o
w
s
n
eg
at
iv
e
v
o
ltag
e
le
v
el
s
w
itc
h
i
n
g
co
m
b
i
n
atio
n
s
a
n
d
m
o
d
e
7
s
h
o
w
s
ze
r
o
v
o
ltag
e
le
v
el
s
w
itc
h
in
g
co
m
b
i
n
atio
n
.
Mo
d
e
1
:
to
attain
th
e
o
u
tp
u
t
v
o
ltag
e
le
v
el
a
s
+V
dc
,
t
h
e
s
w
it
c
h
es
S
1
,
S
2
, S
5
,
a
n
d
S
8
k
ep
t
i
n
ON
co
n
d
itio
n
.
Her
e
n
o
n
e
o
f
t
h
e
f
r
ee
w
h
ee
li
n
g
d
io
d
e
in
ON
co
n
d
itio
n
h
as
s
h
o
w
n
i
n
F
ig
u
r
e
2
.
a.
Mo
d
e
2
:
to
o
b
tain
th
e
o
u
tp
u
t
v
o
ltag
e
lev
el
a
s
+
V
dc
,
th
e
s
w
itc
h
e
s
S
1
,
S
3
,
S
5
,
an
d
S
8
k
ep
t
in
ON
co
n
d
itio
n
.
An
d
h
er
e
f
r
ee
w
h
ee
li
n
g
d
io
d
e
D
2
in
ON
co
n
d
itio
n
h
a
s
s
h
o
w
n
in
F
ig
u
r
e
2
.
b
.
Mo
d
e
3
:
to
ac
q
u
ir
e
th
e
o
u
tp
u
t
v
o
ltag
e
lev
el
as
+
V
dc
,
t
h
e
s
witch
es
S
1
,
S
5
,
a
n
d
S
8
k
ep
t
i
n
O
N
co
n
d
itio
n
.
An
d
h
er
e
f
r
ee
w
h
ee
li
n
g
d
io
d
e
D
4
in
ON
co
n
d
itio
n
h
as s
h
o
w
n
i
n
F
i
g
u
r
e
2
.
c.
Mo
d
e
4
:
to
g
en
er
ate
th
e
o
u
tp
u
t
v
o
ltag
e
lev
el
as
-
V
dc
,
th
e
s
w
i
tch
es
S
1
,
S
2
,
S
6
an
d
S
7
k
ep
t
in
ON
co
n
d
itio
n
.
An
d
n
o
n
e
o
f
t
h
e
f
r
ee
w
h
ee
li
n
g
d
io
d
e
in
ON
co
n
d
itio
n
h
as
s
h
o
w
n
i
n
F
i
g
u
r
e
3
.
a.
Mo
d
e
5
: to
o
b
tain
th
e
o
u
tp
u
t
v
o
ltag
e
lev
el
a
s
-
V
dc
,
th
e
s
w
itc
h
es S
2
, S
4
, S
6
an
d
S
7
k
ep
t in
O
N
co
n
d
itio
n
.
A
n
d
h
er
e
f
r
ee
w
h
ee
li
n
g
d
io
d
e
D
3
in
ON
co
n
d
itio
n
h
as s
h
o
w
n
i
n
F
ig
u
r
e
3
.
b
.
Mo
d
e
6
: to
ac
q
u
ir
e
th
e
o
u
tp
u
t
v
o
ltag
e
le
v
el
as
-
V
dc
,
th
e
s
w
it
ch
es S
2
, S
6
a
n
d
S
7
k
ep
t i
n
ON
co
n
d
itio
n
.
A
n
d
h
er
e
f
r
ee
w
h
ee
li
n
g
d
io
d
e
D
1
in
ON
co
n
d
itio
n
h
as s
h
o
w
n
i
n
F
ig
u
r
e
3
.
c.
Mo
d
e
7
: to
g
ain
th
e
o
u
tp
u
t v
o
l
tag
e
lev
e
l a
s
0
,
th
e
s
w
i
tch
e
s
S
5
an
d
S
7
k
ep
t in
O
N
co
n
d
itio
n
.
An
d
h
er
e
n
o
n
e
o
f
th
e
f
r
ee
w
h
ee
li
n
g
d
io
d
e
in
ON
co
n
d
itio
n
h
a
s
s
h
o
w
n
i
n
F
ig
u
r
e
4.
T
h
e
s
w
itc
h
i
n
g
co
m
b
in
at
io
n
s
f
o
r
7
-
lev
el
o
u
tp
u
t
v
o
lta
g
e
lev
el
w
it
h
p
o
s
itio
n
s
o
f
v
ar
io
u
s
ca
p
a
cito
r
s
,
s
w
itc
h
es a
n
d
f
r
ee
w
h
e
el
in
g
d
io
d
es a
r
e
s
h
o
w
n
i
n
T
ab
le
1.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
: 2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
8
,
No
.
3
,
Sep
tem
b
er
2
0
1
7
:
1
2
9
4
–
1
3
0
2
1296
(
a)
(
b
)
(
c)
Fig
u
r
e
2
.
P
o
s
itiv
e
s
w
itc
h
i
n
g
v
o
ltag
e
lev
el
s
(
a)
+
V
dc
;
(
b
)
+
(
2
/3
)
V
dc
;
(
c)
+
(
1
/3
)
V
dc
(
a)
(
b
)
(
c)
Fig
u
r
e
3
.
Neg
ati
v
e
s
w
itc
h
i
n
g
v
o
ltag
e
le
v
el
s
(
a)
-
V
dc
;
(
b
)
-
(
2
/3
)
V
dc
;
(
c)
-
(
1
/3
)
V
dc
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
I
mp
leme
n
ta
tio
n
o
f Co
u
p
led
I
n
d
u
cto
r
B
a
s
ed
7
-
Leve
l I
n
ve
r
ter w
ith
R
ed
u
ce
d
S
w
itch
es
(
R
.
P
a
la
n
is
a
my
)
1297
Fig
u
r
e
4
.
Z
er
o
s
w
itc
h
in
g
v
o
ltag
e
lev
el
(
V
O
=0
)
3.
H
YST
E
RE
SI
S C
URR
E
NT
CO
NT
RO
L
I
n
o
r
d
er
t
o
an
al
y
ze
th
e
co
r
r
ec
t
m
u
l
tile
v
el
o
p
er
atio
n
,
th
e
co
n
tr
o
l
s
y
s
te
m
h
as
to
p
er
f
o
r
m
t
w
o
er
r
o
r
b
an
d
s
.
I
t
m
u
s
t
g
e
n
er
ate
t
h
e
co
r
r
ec
t
v
o
ltag
e
v
ec
to
r
an
d
h
en
c
e
th
e
co
r
r
ec
t
m
u
ltil
e
v
el
o
u
tp
u
t
w
av
e
f
o
r
m
.
A
t
th
e
s
a
m
e
t
i
m
e,
i
t
m
u
s
t
m
a
in
ta
in
t
h
e
s
a
m
e
v
o
ltag
e
ac
r
o
s
s
th
e
d
c
lin
k
ca
p
ac
ito
r
s
.
T
h
e
h
y
s
ter
e
s
is
c
u
r
r
en
t
co
n
tr
o
l
d
ec
id
es
o
n
th
e
m
ag
n
it
u
d
es
o
f
er
r
o
r
f
o
r
an
‗
n
‘
in
v
er
ter
ca
n
b
e
lin
k
ed
w
it
h
n
u
m
b
er
o
f
b
an
d
s
ar
o
u
n
d
th
e
r
ef
er
en
ce
v
ec
to
r
s
.
B
ased
o
n
th
e
er
r
o
r
cu
r
r
en
t
v
alu
e
th
e
h
y
s
ter
esis
b
an
d
h
an
d
h
1
w
ill
b
e
d
ec
id
ed
,
th
e
o
u
tp
u
t
v
o
ltag
e
lev
el
o
f
t
h
e
p
r
o
p
o
s
ed
s
y
s
te
m
d
ep
en
d
s
o
n
t
h
e
v
ar
iatio
n
o
f
h
y
s
ter
es
is
b
an
d
.
T
h
e
er
r
o
r
d
ec
id
e
d
b
y
d
if
f
er
e
n
ce
b
et
w
ee
n
t
h
e
v
ar
iat
i
o
n
ac
tu
al
c
u
r
r
en
t
m
ea
s
u
r
ed
f
r
o
m
th
e
s
y
s
te
m
an
d
r
ef
er
e
n
ce
cu
r
r
en
t v
al
u
e.
(
a)
(
b
)
Fig
u
r
e
5
.
HC
C
(
a)
s
ch
e
m
atic
d
iag
r
a
m
; (
b
)
er
r
o
r
cu
r
r
en
t
T
ab
le
1.
Sw
itch
in
g
co
m
b
i
n
ati
o
n
s
f
o
r
7
-
le
v
el
o
u
tp
u
t v
o
lta
g
e
O
u
t
p
u
t
v
o
l
t
a
g
e
l
e
v
e
l
C
a
p
a
c
i
t
o
r
s ON
S
w
i
t
c
h
e
s ON
F
r
e
e
w
h
e
e
l
i
n
g
d
i
o
d
e
O
N
+ V
dc
C
1
,
C
2
,
C
3
S
1
,
S
2
,
S
5
,
S
8
-
+
V
dc
C
1
,
C
2
S
1
,
S
3
,
S
5
,
S
8
D2
+
V
dc
C1
S
1
,
S
5
,
S
8
D4
0
-
S
5
,
S
7
-
-
V
dc
C
1
,
C
2
,
C
3
S
1
,
S
2
,
S
6
,
S
7
-
-
V
dc
C
2
,
C
3
S
2
,
S
4
,
S
6
,
S
7
D3
-
V
dc
C3
S
2
,
S
6
,
S
7
D1
T
h
e
h
y
s
ter
e
s
is
c
u
r
r
en
t
co
n
tr
o
l
s
ch
e
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atic
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PEDS
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RE
F
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R
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NC
E
S
[1
]
Y.
M
a
h
m
o
u
d
,
W
.
X
iao
,
a
n
d
H.
Zein
e
ld
in
,
―
A
si
m
p
le
a
p
p
ro
a
c
h
to
m
o
d
e
li
n
g
a
n
d
si
m
u
latio
n
o
f
p
h
o
to
v
o
l
taic
m
o
d
u
les
‖
,
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
S
u
sta
in
a
b
le
E
n
e
rg
y
,
v
o
l
.
3
,
n
o
.
1
,
pp.
1
8
5
-
186
,
Ja
n
.
2
0
1
2
.
[2
]
O.
A
lo
n
so
,
P
.
S
a
n
c
h
is,
E.
G
u
b
i
a
a
n
d
L
.
M
a
rr
o
y
o
,
―
Ca
sc
a
d
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d
H
-
b
rid
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e
m
u
lt
il
e
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c
o
n
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f
o
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rid
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o
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to
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to
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w
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h
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t
m
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x
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m
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m
p
o
w
e
r
p
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in
t
trac
k
in
g
o
f
e
a
c
h
so
lar
a
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y
‖
,
I
n
:
Pro
c
.
IEE
E
Po
we
r E
lec
tro
n
ics
S
p
e
c
ia
li
st
Co
n
f
.
,
p
p
.
7
3
1
–
7
3
5
,
J
u
n
2
0
1
2
.
[3
]
R.
P
a
lan
isa
m
y
,
K.
V
ij
a
y
a
k
u
m
a
r
―
M
a
x
i
m
u
m
Bo
o
st
Co
n
tr
o
l
f
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r
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-
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sc
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h
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b
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id
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e
in
v
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rter
‖
,
In
tern
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ti
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l
Jo
u
rn
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l
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f
P
o
w
e
r
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e
c
tro
n
ics
a
n
d
Driv
e
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m
s,
v
o
l
8
,
Iss
u
e
2
,
Ju
n
e
2
0
1
7
.
[4
]
T
.
Ke
re
k
e
s,
R.
T
e
o
d
o
re
sc
u
,
a
n
d
M
.
L
ise
rre
,
―
Ev
a
lu
a
ti
o
n
o
f
th
re
e
-
p
h
a
se
tran
sf
o
r
m
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rle
ss
p
h
o
to
v
o
lt
a
ic
in
v
e
rter
to
p
o
lo
g
ies
‖
,
IEE
E
T
ra
n
s.
P
o
we
r
El
e
c
tro
n
.
,
v
o
l.
2
4
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.
9
,
p
p
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2
2
0
2
–
2
2
1
1
,
S
e
p
.
2
0
1
3
.
[5
]
H.
S
h
i
n
o
h
a
ra
,
K.
Kim
o
to
,
T
.
Itam
i,
T
.
Am
b
o
u
,
C.
Ok
a
d
o
,
K.
Na
k
a
ji
m
a
,
S
.
Ho
jo
,
K.
Ow
a
d
a
,
M
.
Ku
n
iy
o
sh
i,
a
n
d
Y
.
S
a
to
,
―
De
v
e
lo
p
m
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n
t
o
f
a
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ti
a
l
u
se
,
u
t
il
it
y
in
tera
c
ti
v
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P
V
i
n
v
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w
it
h
is
o
latio
n
tra
n
sf
o
rm
e
r
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les
s
c
ircu
it
—
De
v
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p
m
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t
a
sp
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c
ts‖
,
in
Pro
c
.
I
EE
E
Ph
o
t
o
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S
p
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Co
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f.
,
2
0
0
9
,
p
p
.
1
2
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6
–
1
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8
.
[6
]
E.
G
u
b
ra
,
P
.
S
a
n
c
h
is,
A
.
Urs
u
a
,
J.
L
o
p
e
z
,
a
n
d
L
.
M
a
rro
y
o
,
―
Gro
u
n
d
c
u
rre
n
ts
in
sin
g
le
-
p
h
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se
t
ra
n
sf
o
r
m
e
rles
s
p
h
o
to
v
o
lt
a
ic sy
ste
m
s
‖
,
Pro
g
.
Ph
o
to
v
o
lt
.
:
Res
.
A
p
p
l.
,
p
p
.
6
2
9
–
6
5
0
,
M
a
y
2
0
0
9
.
[7
]
O.
L
o
p
e
z
,
R.
Teo
d
o
re
sc
u
,
F
.
F
r
e
ij
e
d
o
,
a
n
d
J.
Do
v
a
l
-
G
a
n
d
o
y
,
―
El
im
in
a
ti
n
g
g
ro
u
n
d
c
u
rre
n
t
i
n
a
tran
sf
o
r
m
e
rles
s
p
h
o
to
v
o
lt
a
ic ap
p
li
c
a
ti
o
n
‖
,
i
n
Pr
o
c
.
IEE
E
Po
we
r E
n
g
.
S
o
c
.
Ge
n
.
M
e
e
t.
,
p
p
.
1
–
5
,
Ju
n
.
2
0
0
9
.
[8
]
A
.
Na
b
e
a
,
I.
T
a
k
a
h
a
sh
i,
a
n
d
H.
A
k
a
g
i,
―
A
n
e
w
n
e
u
tral
-
p
o
in
t
-
c
lam
p
e
d
P
W
M
in
v
e
rter‖
,
IEE
E
T
ra
n
s.
I
n
d
.
A
p
p
l.
,
v
o
l
.
1
7
,
n
o
.
5
,
p
p
.
5
1
8
–
5
2
3
,
S
e
p
.
/Oc
t.
1
9
8
1
.
[9
]
R.
P
a
lan
isa
m
y
,
K.
V
ij
a
y
a
k
u
m
a
r,
Ko
m
a
ri
Nik
h
il
,
M
a
d
h
u
m
a
th
i
I
y
e
r,
Ra
m
a
c
h
a
n
d
a
r
Ra
o
,
―
A
P
ro
p
o
s
e
d
S
V
M
f
o
r
3
-
lev
e
l
T
r
a
n
sf
o
r
m
e
r
-
les
s
Du
a
l
In
v
e
rter
S
c
h
e
m
e
f
o
r
G
rid
Co
n
n
e
c
ted
P
V
S
y
ste
m
‖
,
In
d
ian
Jo
u
r
n
a
l
o
f
S
c
ien
c
e
a
n
d
T
e
c
h
n
o
lo
g
y
,
2
0
1
6
N
o
v
,
9
(
4
2
)
.
[1
0
]
T
.
Ke
re
k
e
s,
R.
T
e
o
d
o
re
sc
u
,
a
n
d
M
.
L
ise
rre
,
―
Ev
a
lu
a
ti
o
n
o
f
th
re
e
-
p
h
a
se
tran
sf
o
r
m
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rle
ss
p
h
o
to
v
o
lt
a
ic
in
v
e
rter
to
p
o
lo
g
ies
‖
,
IEE
E
T
ra
n
s.
P
o
we
r
El
e
c
tro
n
.
,
v
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l.
2
4
,
n
o
.
9
,
p
p
.
2
2
0
2
–
2
2
1
1
,
S
e
p
.
2
0
1
2
.
[1
1
]
H.
F
.
X
iao
a
n
d
S
.
J.
X
ie,
―
L
e
a
k
a
g
e
c
u
rre
n
t
a
n
a
l
y
ti
c
a
l
m
o
d
e
l
a
n
d
a
p
p
l
ica
ti
o
n
i
n
sin
g
le
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p
h
a
se
tran
sf
o
r
m
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rles
s
p
h
o
to
v
o
lt
a
ic g
rid
-
c
o
n
n
e
c
ted
in
v
e
r
ter‖
,
IEE
E
T
r
a
n
s.
El
e
c
tro
ma
g
n
.
C
o
mp
a
t
.
,
v
o
l
.
5
2
,
n
o
.
4
,
p
p
.
9
0
2
–
9
1
3
,
No
v
.
2
0
1
0
.
[1
2
]
T
.
Ke
r
e
k
e
s,
R.
Teo
d
o
re
sc
u
,
a
n
d
U.
Bo
ru
p
,
―
T
ra
n
s
f
o
rm
e
rles
s
p
h
o
to
v
o
lt
a
ic
in
v
e
rters
c
o
n
n
e
c
ted
to
t
h
e
g
rid
‖
,
Pro
c
.
IEE
E
A
p
p
l.
Po
we
r E
lec
tro
n
.
C
o
n
f
.
,
p
p
.
1
7
3
3
–
1
7
3
7
,
J
u
n
2
0
1
4
.
[1
3
]
R.
P
a
lan
isa
m
y
,
A
.
U M
u
taw
a
k
k
il
,
K.
V
ij
a
y
a
k
u
m
a
r
―
H
y
ste
r
e
sis S
V
M
f
o
r
c
o
u
p
le
d
in
d
u
c
t
o
r
z
so
u
rc
e
d
io
d
e
c
lam
p
e
d
3
-
lev
e
l
in
v
e
rter
b
a
se
d
g
rid
c
o
n
n
e
c
ted
P
V
sy
ste
m
‖
,
In
tern
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
f
P
o
w
e
r
El
e
c
tro
n
ics
a
n
d
Dri
v
e
S
y
ste
m
s,
v
o
l
7
,
Iss
u
e
4
,
De
c
2
0
1
6
.
[1
4
]
M
.
B.
Ba
n
a
S
h
a
rif
ian
,
Y.
M
o
h
a
m
a
d
re
z
a
p
o
u
r,
M
.
Ho
ss
e
in
p
o
u
r,
S
.
T
o
ra
b
z
a
d
e
,
―
S
in
g
le
-
sta
g
e
g
rid
c
o
n
n
e
c
te
d
p
h
o
to
v
o
lt
a
ic
sy
ste
m
w
it
h
re
a
c
ti
v
e
p
o
w
e
r
c
o
n
tro
l
a
n
d
a
d
a
p
ti
v
e
p
re
d
ictiv
e
c
u
rre
n
t
c
o
n
tro
ll
e
r‖
,
J.
Ap
p
l.
S
c
i.
1
8
1
2
–
5
6
5
4
.
J
u
n
.
2
0
1
2
.
[1
5
]
Bh
a
ra
ti
ra
ja,
C.
,
Ra
g
h
u
,
P
a
li
n
iam
y
,
K.R.
S
.
―
Co
m
p
a
ra
ti
v
e
a
n
a
l
y
sis
f
o
r
d
iff
e
re
n
t
P
W
M
tec
h
n
iq
u
e
s
to
re
d
u
c
e
th
e
c
o
m
m
o
n
m
o
d
e
v
o
lt
a
g
e
in
th
re
e
-
lev
e
l
n
e
u
tral
-
p
o
in
t
-
c
lam
p
e
d
in
v
e
rters
f
o
r
v
a
riab
le
sp
e
e
d
in
d
u
c
ti
o
n
d
riv
e
s‖
,
In
tern
a
ti
o
n
a
l
Jo
u
rn
a
l
o
f
P
o
w
e
r
El
e
c
tro
n
ics
a
n
d
Driv
e
S
y
ste
m
s,
v
o
l.
3
,
Iss
u
e
1
,
M
a
rc
h
2
0
1
3
,
P
a
g
e
s 1
0
5
-
1
1
6
.
[1
6
]
H.
X
.
M
a
,
C.
Y.
G
o
n
g
,
a
n
d
Y.
G
.
Y
a
n
,
―
Ou
tp
u
t
f
il
ter
d
e
sig
n
o
f
h
a
lf
-
b
rid
g
e
d
u
a
l
-
b
u
c
k
in
v
e
rter
u
sin
g
h
y
ste
r
e
sis
c
u
rre
n
t
c
o
n
tro
l
ler‖
,
in
Pro
c
.
C
h
in
.
S
o
c
.
El
e
c
tr.
En
g
.
,
Ju
l.
2
0
0
7
,
v
o
l.
2
7
,
n
o
.
1
3
,
p
p
.
9
8
–
1
0
3
.
[1
7
]
L
.
Da
les
sa
n
d
ro
,
S
.
D.
R
o
u
n
d
,
a
n
d
J.
W
.
Ko
lar,
―
Ce
n
ter
-
p
o
in
t
v
o
lt
a
g
e
b
a
lan
c
in
g
o
f
h
y
ste
r
e
sis
c
u
rre
n
t
c
o
n
tro
l
led
th
re
e
-
lev
e
l
P
W
M
re
c
ti
f
iers
‖
,
IEE
E
T
ra
n
s.
P
o
we
r E
lec
tro
n
.
,
v
o
l.
2
3
,
n
o
.
5
,
p
p
.
2
4
7
7
–
2
4
8
8
,
S
e
p
.
2
0
1
0
.
[1
8
]
R.
P
a
lan
isa
m
y
,
K.
V
ij
a
y
a
k
u
m
a
r,
S
h
a
u
ry
a
M
isra
,
K.
S
e
lv
a
k
u
m
a
r,
D.
Ka
rth
ik
e
y
a
n
,
―
A
Clo
se
d
L
o
o
p
Cu
rre
n
t
Co
n
tro
l
o
f
P
V
-
W
in
d
Hy
b
rid
S
o
u
rc
e
F
e
d
G
rid
Co
n
n
e
c
ted
T
ra
n
sf
o
r
m
e
rles
s
Dio
d
e
Cla
m
p
e
d
-
M
u
lt
i
L
e
v
e
l
In
v
e
rter
‖
,
In
tern
a
ti
o
n
a
l
Re
v
iew
o
n
M
o
d
e
ll
in
g
a
n
d
S
im
u
latio
n
s
(I.
RE.
M
O.S
v
o
l
.
8
.
)
,
n
o
.
4
,
A
u
g
u
st 2
0
1
5
.
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