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ased
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t
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ter
s
ca
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t
w
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ev
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l a
n
d
m
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ter
s
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ize
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s
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cted
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ized
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d
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L
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ter
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la
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p
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ML
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ML
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h
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m
ai
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d
r
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w
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al
m
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ter
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h
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f
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lar
g
e
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u
m
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er
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is
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lated
DC
s
u
p
p
lies
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cir
cu
it
el
e
m
en
ts
an
d
p
o
w
er
elec
tr
o
n
ic
s
w
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h
es.
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n
co
n
v
e
n
tio
n
a
l
m
u
ltil
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v
el
i
n
v
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ter
s
th
e
DC
v
o
lta
g
es
o
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c
h
ce
ll
ar
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eq
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al.
Ho
w
e
v
er
it
is
p
o
s
s
ib
le
to
h
av
e
u
n
eq
u
al
DC
v
o
ltag
e
s
,
wh
ich
i
n
cr
ea
s
e
t
h
e
n
u
m
b
er
o
f
v
o
ltag
e
le
v
els
w
i
th
o
u
t
in
cr
ea
s
in
g
t
h
e
n
u
m
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f
s
w
itc
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es
a
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d
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ch
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etr
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.
A
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y
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ap
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co
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[
1
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[
2
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[
3
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ca
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H
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lied
w
ith
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i
f
f
er
en
t
v
o
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e
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o
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r
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s
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d
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ig
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tal
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n
tr
o
l
alg
o
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ith
m
ar
e
i
m
p
le
m
e
n
ted
u
s
in
g
D
SP
co
n
tr
o
ller
an
d
f
lip
-
f
lap
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[
8
-
1
0
]
.
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r
o
c
o
n
tr
o
ller
b
ased
as
y
m
m
etr
ical
m
u
ltil
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el
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ter
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n
m
icr
o
-
g
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id
ap
p
licatio
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s
ar
e
d
is
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s
s
ed
in
[
1
1
]
.
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ltil
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el
i
n
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ter
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it
h
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ed
u
ce
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n
u
m
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d
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s
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ed
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[
1
2
]
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h
is
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ap
er
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o
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s
o
n
e
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b
ed
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ed
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ased
As
y
m
m
etr
i
ca
l
m
u
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er
te
r
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th
1
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v
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o
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h
e
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r
o
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ter
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ize
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ig
h
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u
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t
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it
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m
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2.
ASYM
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T
RICA
L
CAS
CA
DE
D
M
UL
I
L
E
V
E
L
I
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T
E
R
Fig
u
r
e
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s
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a
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it
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ical
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ed
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-
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o
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t
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r
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Vd
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d
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n
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h
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V
d
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0
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Vd
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-
3
Vd
c,
-
4
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h
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er
i
n
v
er
ter
ca
n
g
en
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ate
a
f
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n
d
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m
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t
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h
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el
s
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d
t
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en
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u
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ter
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r
s
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b
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ts
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le
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el
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r
o
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t
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e
f
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n
d
a
m
e
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tal
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v
e
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n
t
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p
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r
e,
th
e
f
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al
o
u
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t
v
o
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g
e
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e
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th
e
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o
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er
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l
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t
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B
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V
V
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o
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v
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le
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el
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Fig
u
r
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ati
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atter
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B
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Fig
u
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1
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m
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ter
Evaluation Warning : The document was created with Spire.PDF for Python.
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witch
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I
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3.
SI
M
UL
AT
I
O
N
R
E
S
UL
T
S
AND
ANA
L
YS
I
S
T
h
e
A
s
y
m
m
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ical
m
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g
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s
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n
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n
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le
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s
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n
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h
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t
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e
o
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tr
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r
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g
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r
e
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ter
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e
a
T
HD
o
f
o
u
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t
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r
m
is
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4
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%.
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e
ca
n
n
o
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at
t
h
e
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w
er
in
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er
ter
g
en
er
ate
s
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f
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n
d
a
m
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ta
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t
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n
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ter
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d
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r
s
u
b
tr
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ts
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n
e
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el
f
r
o
m
th
e
f
u
n
d
a
m
e
n
tal
w
a
v
e
to
s
y
n
t
h
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e
s
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p
ed
w
a
v
es.
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o
n
s
eq
u
en
t
l
y
th
e
f
i
n
al
o
u
tp
u
t
v
o
lta
g
e
b
ec
o
m
es
t
h
e
s
u
m
o
f
o
u
tp
u
t
v
o
lta
g
e
o
f
u
p
p
er
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d
lo
w
er
H
b
r
id
g
e
m
o
d
u
les.
T
h
e
f
o
llo
win
g
p
ar
a
m
eter
v
al
u
es a
r
e
u
s
ed
f
o
r
s
i
m
u
lat
io
n
: V
d
c
=2
5
V,
R
(
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0
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h
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s
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Fig
u
r
e
1
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.
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er
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er
ter
ter
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i
n
al
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o
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g
e
Fig
u
r
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1
1
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o
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er
ter
ter
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n
al
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o
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g
e
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r
e
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2
.
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e
lev
el
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t
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e
o
f
A
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4.
E
XP
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NT
A
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g
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e
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t
t
h
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g
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r
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14
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e
Fig
u
r
e
s
15
-
22
s
h
o
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n
g
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atter
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o
r
th
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t
s
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h
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r
r
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d
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g
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y
.
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g
u
r
e
2
3
s
h
o
w
s
t
h
e
o
u
tp
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t
v
o
lta
g
e
w
a
v
ef
o
r
m
o
f
a
s
in
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le
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h
a
s
e
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s
ca
d
ed
H
-
b
r
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e
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ltil
e
v
el
in
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er
ter
.
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T
an
al
y
s
i
s
f
o
r
n
i
n
e
lev
el
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n
v
er
ter
is
illu
s
tr
ated
in
F
ig
u
r
e
2
4
,
w
h
er
e
a
T
HD
o
f
ex
p
er
i
m
e
n
tal
o
u
tp
u
t v
o
lta
g
e
wav
ef
o
r
m
is
1
4
.
5
%.
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I
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25
RE
F
E
R
E
NC
E
S
[1
]
M
a
riéth
o
z
S
.
,
“
De
sig
n
a
n
d
c
o
n
tro
l
o
f
h
ig
h
-
p
e
rf
o
rm
a
n
c
e
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o
d
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lar
h
y
b
rid
a
sy
m
m
e
tri
c
a
l
c
a
sc
a
d
e
m
u
lt
il
e
v
e
l
in
v
e
rters
,
”
IEE
E
T
ra
n
s.
I
n
d
.
Ap
p
l
,
5
0
(6
):
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0
1
8
-
4
0
2
7
,
2
0
1
4
.
[2
]
M
o
k
h
b
e
r
d
o
ra
n
A
,
A
ja
m
i
A
.
“
S
y
m
m
e
tri
c
a
n
d
A
s
y
m
m
e
tri
c
De
si
g
n
a
n
d
Im
p
lem
e
n
tatio
n
o
f
Ne
w
Ca
sc
a
d
e
d
M
u
lt
il
e
v
e
l
In
v
e
rter T
o
p
o
lo
g
y
,”
IEE
E
T
ra
n
s.
Po
we
r E
lec
tro
n
,
2
9
(1
2
):6
7
1
2
-
6
7
2
4
,
2
0
1
4
.
[3
]
A
ru
n
V
,
S
h
a
n
t
h
i
B,
A
ru
m
u
g
a
m
M
,
“
A
n
a
l
y
sis o
f
Bin
a
r
y
DC S
o
u
rc
e
Re
d
u
c
e
d
S
w
it
c
h
7
-
lev
e
l
In
v
e
rter
,”
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ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
P
o
we
r E
lec
tro
n
Dr
ive
S
y
st
,
6
(1
):7
0
-
76
,
2
0
1
5
.
[4
]
Esp
in
o
sa
EE
,
Es
p
in
o
z
a
JR,
M
e
lí
n
P
E,
e
t
a
l.
“
A
n
e
w
m
o
d
u
latio
n
m
e
th
o
d
f
o
r
a
1
3
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lev
e
l
a
sy
m
m
e
tri
c
i
n
v
e
rter
to
w
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rd
m
in
i
m
u
m
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H
D
,”
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E
T
ra
n
s.
In
d
.
A
p
p
l
.
,
5
0
(
3
):1
9
2
4
-
1
9
3
3
,
2
0
1
4
.
[5
]
M
a
n
o
h
a
ra
n
M
S
,
A
h
m
e
d
A
,
P
a
rk
JH
.
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A
P
V
P
o
w
e
r
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n
d
it
io
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in
g
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ste
m
U
sin
g
A
s
y
m
m
e
tri
c
M
u
lt
il
e
v
e
l
In
v
e
rter
w
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h
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y
b
rid
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n
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ro
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h
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e
a
n
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d
u
c
e
d
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e
a
k
a
g
e
Cu
rre
n
t
,”
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E
T
ra
n
s.
p
o
we
r
El
e
c
tro
n
,
3
2
(
1
0
):
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6
0
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-
7
6
1
4
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0
1
7
.
[6
]
A
ru
n
V
,
S
h
a
n
t
h
i
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,
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a
ra
th
i
A
,
“
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e
rf
o
rm
a
n
c
e
E
v
a
lu
a
ti
o
n
o
f
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a
rio
u
s
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i
p
o
lar
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P
W
M
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trate
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ies
o
f
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rin
a
r
y
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o
u
rc
e
M
u
lt
il
e
v
e
l
In
v
e
rter
,”
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ter
n
a
ti
o
n
a
l
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o
u
rn
a
l
o
f
E
n
g
i
n
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e
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g
a
n
d
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n
o
v
a
ti
v
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e
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h
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g
y
,
2(
6
):
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5
8
-
4
6
2
,
2
0
1
2
.
[7
]
Bh
a
ra
th
R,
A
ru
n
V
,
“
9
-
L
e
v
e
l
T
rin
a
ry
DC
S
o
u
rc
e
In
v
e
rter
Us
in
g
Em
b
e
d
d
e
d
Co
n
tr
o
ll
e
r
,”
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R
J
o
u
rn
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l
o
f
E
n
g
i
n
e
e
rin
g
,
2
(
1
0
):
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0
-
95
,
2
0
1
2
.
[8
]
F
lo
re
s
P
,
Dix
o
n
J,
Ortu
z
a
r
M
,
C
a
r
m
i
R,
Ba
rriu
so
P
,
M
o
ra
n
L
,
“
S
tatic
V
a
r
Co
m
p
e
n
sa
to
r
a
n
d
A
c
ti
v
e
P
o
w
e
r
F
il
ter
W
it
h
P
o
w
e
r
In
jec
ti
o
n
Ca
p
a
b
il
it
y
,
Us
in
g
2
7
-
L
e
v
e
l
In
v
e
rters
a
n
d
P
h
o
t
o
v
o
lt
a
ic
Ce
ll
s
,”
IEE
E
T
ra
n
s.
In
d
.
El
e
c
tro
n
.
,
5
6
(
1
):1
3
0
-
1
3
8
,
2
0
0
9
.
[9
]
M
e
k
h
il
e
f
S
,
Ka
d
ir
M
NA
,
S
a
lam
Z
,
“
Dig
it
a
l
Co
n
t
ro
l
o
f
T
h
re
e
P
h
a
s
e
T
h
re
e
-
S
tag
e
H
y
b
rid
M
u
l
ti
lev
e
l
In
v
e
rter
,”
IEE
E
T
ra
n
s.
I
n
d
.
In
fo
rm
a
t
ics
,
9
(
2
):7
1
9
-
727
,
2
0
1
3
.
[1
0
]
A
ru
n
V
,
S
h
a
n
th
i
B,
Na
tara
jan
S
P
.
“
In
v
e
stig
a
ti
o
n
o
f
Dig
it
a
l
Co
n
tro
l
S
trate
g
y
f
o
r
T
rin
a
r
y
DC
S
o
u
rc
e
Ca
sc
a
d
e
d
M
u
lt
il
e
v
e
l
In
v
e
rter
,”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
Eme
rg
in
g
T
re
n
d
s
i
n
En
g
in
e
e
rin
g
a
n
d
De
v
e
lo
p
me
n
t
,
1
(3
):3
8
2
-
3
9
0
,
2
0
1
3
.
[1
1
]
M
o
rtez
a
e
i
A
,
S
i
m
o
e
s
M
G
,
Bu
b
sh
a
it
A
S
,
Bu
sa
re
ll
o
C,
M
a
ra
f
a
o
F
P
,
A
l
-
Du
rra
A
.
,
“
M
u
lt
if
u
n
c
ti
o
n
a
l
Co
n
tr
o
l
S
trate
g
y
f
o
r
As
y
m
m
e
tri
c
a
l
Ca
s
c
a
d
e
d
H
-
Brid
g
e
In
v
e
rter
in
M
icr
o
g
rid
A
p
p
li
c
a
ti
o
n
s
,”
IEE
E
T
ra
n
s.
In
d
.
A
p
p
.,
5
3
(
2
):1
5
3
8
-
1
5
5
1
,
2
0
1
7
.
[1
2
]
De
v
a
r
a
j
N,
Re
e
n
a
A
,
“
Re
d
u
c
ti
o
n
o
f
sw
it
c
h
e
s
a
n
d
DC
so
u
rc
e
s
in
Ca
sc
a
d
e
d
M
u
lt
il
e
v
e
l
in
v
e
rter,”
Bu
ll
e
ti
n
o
f
El
e
c
trica
l
En
g
in
e
e
rin
g
a
n
d
In
f
o
r
ma
ti
c
s (
BE
EI)
,
4
(
3
):
1
8
6
-
1
9
5
,
2
0
1
5
.
Evaluation Warning : The document was created with Spire.PDF for Python.