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l
s
elec
tio
n
o
f
s
w
itc
h
i
n
g
a
n
g
les,
g
e
n
er
atio
n
o
f
h
ar
m
o
n
ic
s
ca
n
b
e
av
o
id
ed
in
ca
s
ca
d
ed
H
-
b
r
id
g
e
m
u
l
tile
v
el
in
v
er
ter
.
2.
M
UL
T
I
L
E
VE
L
CO
NV
E
R
T
E
RS
Mu
ltil
e
v
el
i
n
v
er
ter
s
ar
e
co
n
s
i
d
er
ab
ly
d
if
f
er
e
n
t
f
r
o
m
t
h
e
n
o
r
m
al
i
n
v
er
ter
w
h
er
e
o
n
l
y
t
w
o
lev
els
ar
e
o
b
tain
ed
.
T
h
e
s
e
m
ico
n
d
u
cto
r
d
ev
ices
ar
e
n
o
t
lin
k
ed
in
s
er
i
es
to
o
n
e
s
o
litar
y
h
i
g
h
-
v
o
ltag
e
s
w
i
tch
.
I
n
w
h
ic
h
ea
ch
as
s
e
m
b
l
y
o
f
d
ev
ices
p
u
t
in
to
astep
i
n
t
h
e
o
u
tp
u
t
v
o
lta
g
e
w
a
v
ef
o
r
m
.
T
h
e
s
tep
s
ar
e
a
u
g
m
e
n
ted
to
o
b
tain
an
al
m
o
s
t
s
i
n
u
s
o
id
w
av
e
f
o
r
m
.
T
h
e
n
u
m
b
er
o
f
in
v
o
l
v
ed
s
witch
es
is
in
cr
ea
s
ed
f
o
r
i
n
cr
e
m
en
t
o
f
ev
er
y
le
v
el
.
Mu
ltil
e
v
el
co
n
v
er
ter
s
ar
e
s
e
v
er
al
t
y
p
es.
T
h
e
m
ai
n
t
h
r
ee
t
y
p
es
o
f
m
u
ltil
e
v
e
l
co
n
v
er
ter
s
ar
e:
d
io
d
e
-
cla
m
p
ed
m
u
ltil
e
v
e
l
co
n
v
er
ter
s
,
ca
p
ac
ito
r
-
cla
m
p
ed
m
u
lt
ilev
e
l
co
n
v
er
ter
s
,
a
n
d
ca
s
ca
d
ed
H
-
b
r
id
g
es
m
u
ltil
e
v
el
co
n
v
er
ter
s
.
L
et
u
s
d
i
s
cu
s
s
th
e
d
i
f
f
er
en
ce
b
et
w
ee
n
“m
u
ltil
e
v
el
i
n
v
er
ter
”
an
d
“m
u
lt
ilev
e
l
co
n
v
er
ter
”.
T
h
e
ter
m
“m
u
ltil
e
v
el
co
n
v
er
ter
”
s
u
g
g
est
to
th
e
co
n
v
er
ter
its
el
f
.
T
h
e
m
ain
p
u
r
p
o
s
e
o
f
a
m
u
ltil
e
v
el
i
n
v
er
ter
is
to
p
r
o
d
u
ce
a
p
r
ef
er
r
ed
ac
o
u
tp
u
t
v
o
ltag
e
w
a
v
e
f
o
r
m
f
r
o
m
s
ev
er
al
le
v
el
s
o
f
d
c
in
p
u
t
v
o
ltag
e
s
.
T
h
ese
d
c
v
o
ltag
e
s
m
a
y
b
e
eq
u
al
o
r
m
a
y
n
o
t
b
e
eq
u
al
to
ea
ch
an
o
th
er
.
T
h
e
ac
o
u
tp
u
t
v
o
ltag
e
s
o
b
tain
ed
f
r
o
m
t
h
es
e
d
c
in
p
u
t
v
o
lta
g
es
ap
p
r
o
ac
h
a
s
in
u
s
o
id
.
T
h
e
co
n
v
e
n
tio
n
al
t
w
o
o
r
t
h
r
ee
lev
els
i
n
v
er
ter
d
o
es
n
o
t
co
m
p
l
etel
y
eli
m
i
n
ate
th
e
u
n
d
es
ir
ab
le
h
ar
m
o
n
ics
i
n
t
h
e
o
u
tp
u
t
v
o
lta
g
e
w
a
v
ef
o
r
m
.
T
h
er
ef
o
r
e,
u
s
in
g
th
e
m
u
ltil
ev
el
in
v
er
ter
as
a
n
s
u
b
s
t
itu
te
to
co
n
v
e
n
tio
n
al
P
W
M
in
v
er
ter
s
is
ex
a
m
i
n
ed
.
I
n
th
i
s
to
p
o
lo
g
y
t
h
e
n
u
m
b
er
o
f
o
u
tp
u
t
v
o
lta
g
e
le
v
els
at
th
e
co
n
v
er
ter
ter
m
i
n
al
s
is
2
N+
1
,
w
h
er
e
N
is
th
e
n
u
m
b
er
o
f
d
c
li
n
k
v
o
ltag
e
s
o
u
r
ce
s
.
I
n
th
i
s
to
p
o
lo
g
y
,
ea
c
h
ce
ll
h
a
s
s
p
lit
d
c
l
in
k
ca
p
ac
it
o
r
s
an
d
t
h
e
v
o
lta
g
e
ac
r
o
s
s
th
e
ca
p
ac
ito
r
s
ca
p
ac
it
y
d
if
f
er
a
m
o
n
g
t
h
e
ea
c
h
ce
ll
.
So
,
ea
ch
p
o
w
er
c
ir
cu
it
j
u
s
t
n
ee
d
o
n
e
d
c
i
n
p
u
t
v
o
ltag
e
s
o
u
r
ce
.
T
h
e
d
c
li
n
k
c
ap
ac
ito
r
n
u
m
b
er
is
p
r
o
p
o
r
tio
n
al
to
t
h
e
p
h
a
s
e
v
o
lta
g
e
le
v
els
n
u
m
b
er
.
E
ac
h
H
-
b
r
id
g
e
ce
ll
m
a
y
co
n
tai
n
ze
r
o
,
p
o
s
itiv
e
o
r
n
eg
ati
v
e
v
o
lta
g
es.
Fin
al
ac
o
u
tp
u
t
v
o
lta
g
e
is
th
e
s
u
m
o
f
all
H
-
b
r
id
g
e
v
o
ltag
e
s
an
d
is
b
ala
n
ce
d
w
i
th
r
esp
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t to
n
eu
tr
al
p
o
in
t,
s
o
th
e
n
u
m
b
er
o
f
o
u
tp
u
t
v
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g
e
lev
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o
d
d
.
C
ascad
ed
H
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b
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g
e
m
u
lti
lev
el
in
v
er
ter
s
c
h
ar
ac
ter
is
ticall
y
u
s
e
I
GB
T
s
w
i
tch
e
s
.
T
h
ese
s
w
it
ch
es
h
a
v
e
h
ig
h
s
w
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h
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g
f
r
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en
c
ies an
d
lo
w
b
lo
ck
in
g
v
o
ltag
e
s
.
Fig
u
r
e
1
.
C
ascad
ed
H
-
b
r
id
g
e
7
-
lev
el
I
n
v
er
ter
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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F
u
z
z
y
Lo
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ic
C
o
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tr
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Ha
r
mo
n
ic
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u
p
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ess
o
r
in
C
a
s
ca
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Mu
ltil
ev
el
I
n
ve
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ter
(
Y.
La
lith
a
K
a
mesw
a
r
i
)
305
C
o
n
s
id
er
th
e
s
e
v
e
n
le
v
el
m
u
l
ti
lev
el
i
n
v
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ter
;
it
r
eq
u
ir
es
to
tal
o
f
1
2
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GB
T
s
w
itc
h
es
an
d
t
h
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e
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c
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p
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t
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o
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r
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y
th
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f
o
r
m
u
la
m
e
n
tio
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ab
o
v
e
i.e
2
N+
1
)
.
T
h
is
s
ev
e
n
le
v
el
m
u
l
tile
v
el
i
n
v
er
ter
i
s
s
h
o
w
n
i
n
th
e
Fi
g
u
r
e
1
.
T
h
e
ca
s
ca
d
ed
H
-
b
r
id
g
e
m
u
ltil
e
v
el
i
n
v
er
ter
is
b
asicall
y
a
s
er
ies
co
n
n
ec
tio
n
o
f
m
u
ltip
le
H
-
b
r
id
g
e
in
v
er
ter
s
.
E
ac
h
H
-
b
r
id
g
e
in
v
er
ter
h
as th
e
s
a
m
e
ar
r
an
g
e
m
e
n
t
as a
t
y
p
ica
l si
n
g
le
-
p
h
ase
f
u
ll
-
b
r
id
g
e
in
v
er
ter
.
T
h
e
o
u
tp
u
t
o
f
t
h
e
i
n
v
er
ter
is
a
s
p
o
r
ad
ically
a
lter
n
ati
n
g
s
ta
i
r
ca
s
e
o
u
tp
u
t
w
a
v
e
f
o
r
m
,
n
o
t
a
s
in
u
s
o
id
al
w
a
v
e
f
o
r
m
as
p
r
ed
ictab
le.
T
h
e
in
v
er
ter
o
u
tp
u
t
w
av
e
f
o
r
m
en
clo
s
es
h
ar
m
o
n
ics.
Ma
t
h
e
m
atica
ll
y
,
t
h
e
o
u
tp
u
t
w
a
v
e
f
o
r
m
is
a
o
u
tli
n
e
o
f
an
i
n
f
in
i
te
ch
ai
n
o
f
h
ar
m
o
n
ic
s
.
T
h
e
m
a
g
n
itu
d
e
o
f
t
h
e
h
ar
m
o
n
i
cs
m
u
s
t
al
w
a
y
s
b
e
r
estricte
d
b
elo
w
th
r
es
h
o
ld
lev
els.
Fig
u
r
e
2
.
Ou
tp
u
t
w
a
v
e
f
o
r
m
T
h
e
ca
s
ca
d
ed
H
-
b
r
id
g
es
m
u
lt
ilev
el
in
v
er
ter
u
s
es
Sep
ar
ate
DC
So
u
r
ce
s
(
SD
C
S
s
)
to
p
r
o
d
u
ce
a
n
AC
o
u
tp
u
t
v
o
ltag
e
w
av
e
f
o
r
m
.
E
a
ch
s
i
n
g
le
H
-
b
r
id
g
e
i
n
v
er
ter
i
s
lin
k
ed
to
its
o
w
n
D
C
s
o
u
r
ce
Vd
c.
B
y
ca
s
ca
d
in
g
th
e
A
C
o
u
tp
u
t
v
o
ltag
e
s
o
f
ea
ch
s
i
n
g
le
H
-
b
r
id
g
e
i
n
v
er
ter
,
an
A
C
o
u
tp
u
t
v
o
ltag
e
w
a
v
e
f
o
r
m
is
p
r
o
d
u
ce
d
.
B
y
clo
s
in
g
t
h
e
s
u
itab
le
s
w
itc
h
es,
ea
ch
H
-
b
r
id
g
e
i
n
v
er
ter
ca
n
p
r
o
d
u
ce
th
r
ee
d
if
f
er
e
n
t
t
y
p
e
s
o
f
v
o
ltag
e
s
:
+V
d
c,
0
an
d
-
Vd
c.
C
a
s
ca
d
e
m
u
lt
ilev
e
l
in
v
er
ter
[
C
M
L
I
]
is
o
n
e
o
f
th
e
m
o
s
t
i
m
p
o
r
tan
t
to
p
o
lo
g
y
.
I
t
r
e
q
u
ir
es
lo
w
n
u
m
b
er
o
f
co
m
p
o
n
e
n
ts
w
it
h
co
m
p
ar
e
to
d
io
d
e
-
cla
m
p
ed
an
d
f
l
y
in
g
c
ap
ac
ito
r
s
t
y
p
e
m
u
lt
ilev
e
l
i
n
v
e
r
ter
s
.
T
h
is
cir
cu
it
i
s
s
i
m
u
lated
u
s
i
n
g
t
h
e
M
A
T
L
A
B
s
o
f
t
w
ar
e.
T
h
e
o
u
tp
u
t
w
a
v
ef
o
r
m
is
s
h
o
w
n
in
Fig
u
r
e
2
.
2
.
1
.
M
a
t
he
m
a
t
ica
l
m
o
deli
n
g
o
f
s
w
it
ching
a
ng
les a
nd
SH
E
E
q
ua
t
io
ns
f
o
r
ca
s
ca
ded
mu
lt
ilev
el
inv
er
t
er
T
h
e
Fo
u
r
ier
s
er
ies
d
ev
elo
p
m
e
n
t
o
f
th
e
s
tair
w
a
y
p
r
o
d
u
ctio
n
v
o
ltag
e
s
i
g
n
al
o
f
t
h
e
m
u
ltil
e
v
el
in
v
er
ter
as d
et
ailed
in
Fi
g
u
r
e
3
.
2
is
s
p
ec
if
ic
b
y
∑
(
1
)
Her
e,
V
ic
v
o
ltag
e
s
o
u
r
ce
m
ag
n
itu
d
e,
s
in
d
icate
s
ev
er
y
p
h
ase
d
c
s
u
p
p
l
y
n
u
m
b
er
.
Fo
r
a
p
r
ef
er
r
ed
p
r
im
ar
y
v
o
lta
g
e
v
1
,
th
e
s
w
itch
in
g
an
g
le
s
θ
1
…
.
.
.
a
nd
ar
e
t
o
b
e
r
eso
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te
s
o
th
at
V
(
a
t)
= V
1
s
in
(
a
t)
f
u
lf
illi
n
g
t
h
e
s
u
b
s
eq
u
e
n
t
s
tate:
0≤
θ
1
< θ
2
…….
<
a
s
≤
⁄
as r
ev
ea
led
in
Fig
u
r
e
3
.
2
.
T
h
e
in
itial h
ar
m
o
n
ic
s
ar
e
co
m
p
lete
eq
u
al
to
th
e
p
r
ef
er
r
ed
p
r
i
m
ar
y
v
o
ltag
e
V
1
a
n
d
p
r
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is
e
s
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p
er
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r
h
ar
m
o
n
ic
s
o
f
V
(
a
t)
eq
u
iv
ale
n
t to
ze
r
o
.
(
)
(
2
)
(
3
)
Her
e
n
=
5
,
7
……….
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
6
94
IJ
PEDS
Vo
l.
7
,
No
.
2
,
J
u
n
e
2
0
1
6
:
3
0
3
–
31
0
306
T
h
er
e
f
o
r
e,
w
it
h
s
n
u
m
er
al
o
f
s
w
itc
h
in
g
p
o
s
itio
n
s
,
s
in
g
le
is
w
o
r
n
i
n
ten
d
ed
f
o
r
p
r
i
m
ar
y
v
o
ltag
e,
r
es
id
u
al
(
s
-
1
)
d
esig
n
ed
f
o
r
th
e
p
r
ed
o
m
i
n
ate
less
er
s
o
r
t
h
ar
m
o
n
ics
r
e
m
o
v
ed
.
I
n
t
h
r
ee
p
h
a
s
e
s
ch
e
m
e,
t
h
e
tr
ip
le
h
ar
m
o
n
ics
ca
n
ce
l
o
u
t
r
o
u
ti
n
el
y
in
t
h
e
li
n
e
to
lin
e
v
o
ltag
e
s
.
T
h
e
5
th
,
7
th
,
s
o
r
t
h
ar
m
o
n
ics
h
a
v
e
to
b
e
eli
m
i
n
ated
as
th
e
y
in
f
lu
e
n
ce
t
h
e
T
HD
g
r
ea
tl
y
.
3.
P
RO
P
O
SE
D
M
E
T
H
O
D
F
O
R
SWI
T
CH
I
N
G
AN
G
L
E
S
T
h
e
p
r
o
p
o
s
ed
tech
n
iq
u
e
ex
e
cu
tes
ev
a
lu
at
io
n
to
d
eter
m
i
n
e
th
e
m
o
s
t
f
a
v
o
r
ab
le
s
w
itc
h
i
n
g
an
g
le
s
,
w
h
ic
h
ca
n
r
ed
u
ce
t
h
e
cr
ea
tio
n
o
f
h
ar
m
o
n
ics
i
n
t
h
e
m
u
l
tile
v
e
l
in
v
er
ter
.
T
h
e
co
m
p
lete
tec
h
n
iq
u
e
co
n
s
id
er
s
t
h
e
co
n
s
tr
ain
t
o
f
eli
m
i
n
ati
n
g
th
e
h
ar
m
o
n
ics
o
r
i
g
i
n
atio
n
b
y
s
ele
ctiv
el
y
j
u
s
t
if
y
i
n
g
a
n
y
o
f
t
h
e
h
ar
m
o
n
ics.
I
n
o
t
h
er
w
o
r
d
s
,
th
e
tec
h
n
iq
u
e
ca
n
j
u
s
t
if
y
(
m
iti
g
ate)
t
h
e
s
elec
ted
h
ar
m
o
n
ic
s
an
d
s
o
th
e
e
n
tire
h
ar
m
o
n
ic
s
o
r
ig
i
n
atio
n
.
A
cc
o
r
d
in
g
l
y
,
th
e
tech
n
iq
u
e
d
eter
m
i
n
es
t
h
e
v
o
ltag
e
p
atter
n
th
at
h
as
lo
w
Hth
o
r
d
er
v
o
ltag
e
h
ar
m
o
n
ics.
Fo
r
in
s
ta
n
ce
,
i
f
th
e
5
th
o
r
d
er
an
d
7
th
o
r
d
er
h
ar
m
o
n
ic
s
ar
e
to
b
e
s
tr
ictl
y
j
u
s
ti
f
ied
in
eli
m
i
n
atin
g
th
e
h
ar
m
o
n
ics
o
r
ig
in
at
io
n
,
t
h
e
h
ar
m
o
n
ic
v
o
l
tag
es
5
V
an
d
7
V
s
h
o
u
ld
b
e
t
o
o
s
m
all
.
Fro
m
th
e
d
ata
s
et
t
h
e
s
w
itc
h
in
g
a
n
g
le
m
o
d
el
co
r
r
esp
o
n
d
in
g
to
th
e
s
elec
ted
h
ar
m
o
n
ic
v
o
ltag
e
m
o
d
el
i
s
d
eter
m
in
ed
.
T
o
p
e
r
f
o
r
m
th
e
s
e
lectiv
e
j
u
s
tif
ica
tio
n
,
th
e
s
elec
tio
n
f
ac
to
r
s
h
av
e
to
b
e
g
iv
e
n
as
in
p
u
t
.
T
h
en
,
iter
ativ
e
ap
p
r
o
ac
h
is
in
s
ti
g
ati
n
g
w
it
h
th
e
in
itiat
io
n
o
f
s
w
itc
h
i
n
g
an
g
le
s
in
th
eir
i
n
ter
v
als.
I
n
t
h
e
a
p
p
r
o
ac
h
,
a
co
llectio
n
o
f
s
u
b
j
ec
tiv
e
v
ec
to
r
s
ar
e
g
en
er
ated
as
f
o
llo
w
s
[
]
(
1
)
w
h
er
e,
Z
a
is
t
h
e
a
th
v
ec
to
r
p
r
esen
t
i
n
t
h
e
co
llectio
n
a
n
d
is
th
e
j
th
s
w
itc
h
i
n
g
an
g
le
o
f
v
ec
t
o
r
.
E
v
er
y
v
ec
to
r
in
th
e
co
llectio
n
n
ee
d
s
to
s
atis
f
y
th
e
co
n
s
tr
ai
n
t,
(
2
)
T
h
e
o
b
tain
ed
v
ec
to
r
is
ca
lcu
lated
b
y
g
i
v
i
n
g
i
n
p
u
t
v
ec
to
r
to
th
e
n
e
u
r
al
n
et
w
o
r
k
a
n
d
tr
ain
ed
FIS.
Fro
m
th
e
attai
n
ed
o
u
tp
u
t
v
ec
to
r
s
,
th
e
ev
alu
at
io
n
f
ac
to
r
is
r
eso
lv
ed
as f
o
llo
w
s
[
]
(
3
)
w
h
er
e,
is
th
e
e
v
alu
at
io
n
f
ac
t
o
r
f
o
r
ea
ch
an
d
ev
er
y
ar
b
itra
r
y
v
ec
to
r
,
an
d
ar
e
th
e
to
tal
h
ar
m
o
n
ic
d
is
to
r
tio
n
,
w
h
en
t
h
e
a
t
h
v
ec
to
r
is
th
e
s
w
i
tc
h
i
n
g
an
g
le
p
atter
n
est
i
m
a
ted
b
y
t
h
e
n
eu
r
al
n
et
w
o
r
k
a
n
d
FIS,
r
esp
ec
tiv
el
y
an
d
b
1
an
d
b
2
ar
e
co
n
s
tan
ts
.
T
h
e
T
HD
ca
n
b
e
d
eter
m
i
n
ed
as f
o
llo
w
i
n
g
|
|
√
∑
|
|
(
4
)
w
h
er
e,
an
d
ar
e
th
e
f
u
n
d
a
m
e
n
tal
v
o
lta
g
es
e
x
p
ec
ted
b
y
t
h
e
n
eu
r
al
n
et
w
o
r
k
f
o
r
th
e
a
th
a
n
d
h
th
o
r
d
er
h
ar
m
o
n
ics
v
o
lta
g
es
r
esp
ec
ti
v
el
y
an
d
is
th
e
s
elec
tio
n
f
ac
t
o
r
f
o
r
h
th
o
r
d
e
r
h
ar
m
o
n
ic.
Fro
m
t
h
e
co
llectio
n
,
⁄
v
ec
to
r
s
th
at
h
av
e
least
ev
al
u
a
tio
n
f
ac
to
r
ar
e
p
r
ef
er
r
ed
an
d
s
u
b
j
ec
ted
to
v
ec
to
r
s
u
b
s
titu
te.
I
n
th
e
v
ec
to
r
s
u
b
s
t
itu
te
o
p
er
atio
n
,
t
h
e
v
ec
t
o
r
th
at
h
as
th
e
least
ev
a
lu
at
i
o
n
f
ac
to
r
is
o
b
tai
n
ed
.
B
ased
o
n
t
h
e
v
ec
to
r
,
th
e
s
u
b
s
t
itu
te
o
f
ele
m
en
t
s
o
f
t
h
e
r
e
m
ai
n
in
g
v
ec
to
r
ar
e
ex
ec
u
ted
as f
o
llo
w
s
{
}
(
5
)
w
h
er
e,
is
th
e
j
th
n
e
w
s
w
itc
h
i
n
g
an
g
le
an
d
is
th
e
j
th
s
w
itc
h
in
g
an
g
le,
w
h
ic
h
is
attai
n
ed
f
r
o
m
t
h
e
v
ec
to
r
th
a
t
h
as
t
h
e
lea
s
t
p
er
f
o
r
m
ed
f
ac
to
r
.
T
h
u
s
o
b
tai
n
ed
n
e
w
v
ec
to
r
s
ar
e
s
u
b
j
ec
ted
to
s
atis
f
y
t
h
e
co
n
s
tr
ain
t
i
n
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
F
u
z
z
y
Lo
g
ic
C
o
n
tr
o
lled
Ha
r
mo
n
ic
S
u
p
p
r
ess
o
r
in
C
a
s
ca
d
ed
Mu
ltil
ev
el
I
n
ve
r
ter
(
Y.
La
lith
a
K
a
mesw
a
r
i
)
307
ab
o
v
e
g
i
v
en
eq
u
atio
n
.
O
n
ce
t
h
e
v
ec
to
r
ele
m
e
n
ts
s
u
b
s
tit
u
tio
n
is
d
o
n
e,
⁄
v
ec
to
r
s
ar
e
g
a
in
e
d
.
T
h
e
y
ar
e
p
lace
d
in
th
e
co
llectio
n
alo
n
g
w
it
h
t
h
e
s
elec
ted
⁄
v
ec
to
r
s
s
o
as
to
m
ak
e
th
e
co
llectio
n
(
p
o
o
l)
s
ize
to
b
e
P
s
iz
e
.
T
h
e
en
tire
p
r
o
ce
s
s
is
is
r
ep
ea
ted
u
n
til
r
ea
ch
es
I
m
ax
by
th
e
n
u
m
b
er
o
f
iter
atio
n
s
.
O
n
ce
t
h
e
m
a
x
i
m
u
m
n
u
m
b
er
o
f
iter
atio
n
s
i
s
r
ea
ch
e
d
,
th
e
p
r
o
ce
s
s
is
co
m
p
leted
an
d
t
h
e
v
ec
to
r
w
h
ich
h
as
t
h
e
le
s
s
ev
al
u
atio
n
f
ac
to
r
is
o
b
tain
ed
f
r
o
m
th
e
co
llectio
n
(
p
o
o
l)
.
T
h
e
r
esu
ltan
t
v
ec
to
r
h
as
th
e
b
est
(
o
p
ti
m
al)
s
w
i
tch
in
g
a
n
g
les
t
h
at
ca
n
p
r
ev
en
t
th
e
f
o
r
m
atio
n
o
f
h
ar
m
o
n
ics
f
o
r
th
e
g
i
v
en
m
u
ltil
e
v
el
in
v
er
ter
,
b
y
s
elec
t
iv
el
y
j
u
s
ti
f
y
i
n
g
(
m
i
ti
g
ati
n
g
)
t
h
e
g
iv
e
n
ele
m
e
n
ts
o
f
h
ar
m
o
n
ics.
Fu
zz
y
lo
g
ic
co
n
tr
o
ller
is
co
n
s
id
er
ed
f
o
r
t
h
e
b
est
s
elec
ti
o
n
o
f
s
w
i
tch
i
n
g
a
n
g
les
f
o
r
h
ar
m
o
n
ic
j
u
s
tif
ica
tio
n
i
n
m
u
lt
ilev
e
l in
v
e
r
ter
.
T
h
e
f
o
llo
w
i
n
g
s
tep
s
w
er
e
i
m
p
licated
in
t
h
e
d
esi
g
n
p
r
o
ce
d
u
r
e.
1.
T
h
e
in
p
u
t v
ar
iab
le
s
a
n
d
th
e
o
u
tp
u
t v
ar
iab
les ar
e
t
h
e
s
w
itc
h
i
n
g
an
g
les a
n
d
th
e
h
ar
m
o
n
ic
v
o
l
tag
e.
2.
T
h
e
u
n
i
v
er
s
e
o
f
d
is
co
u
r
s
e
is
p
o
r
tio
n
ed
f
o
r
th
e
in
p
u
t a
n
d
o
u
tp
u
t v
ar
iab
les.
3.
Fo
r
th
e
in
p
u
t a
n
d
o
u
tp
u
t
v
ar
ia
b
les T
r
ian
g
u
lar
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
s
i
s
tak
e
n
a
n
d
ar
e
d
esig
n
ed
.
4.
T
h
e
L
in
g
u
i
s
tic
co
n
tr
o
l
r
u
les
w
er
e
s
to
r
ed
in
th
e
R
u
le
b
ase
r
eq
u
ir
ed
b
y
r
u
le
ev
al
u
ato
r
.
I
n
th
e
p
r
o
j
ec
ted
w
o
r
k
t
h
r
ee
in
p
u
ts
w
er
e
u
s
ed
.
5.
Fo
r
th
e
in
p
u
t a
n
d
o
u
tp
u
t v
ar
ia
b
les n
o
n
o
r
m
aliza
tio
n
i
s
d
o
n
e.
6.
T
h
e
in
p
u
ts
ar
e
ap
p
lied
.
7.
Fu
zz
y
esti
m
ated
r
ea
s
o
n
i
n
g
is
a
p
p
lied
to
th
e
in
p
u
ts
.
8.
Fo
r
d
ef
u
zz
i
f
icatio
n
ce
n
tr
o
id
m
eth
o
d
is
u
s
ed
.
4.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
T
h
e
im
p
le
m
en
tatio
n
o
f
t
h
e
p
r
o
p
o
s
ed
tech
n
iq
u
e
is
ex
ec
u
ted
in
th
e
r
aised
ar
ea
o
f
MA
T
L
AB
(
v
er
s
io
n
7
.
1
0
)
an
d
w
e
h
a
v
e
e
m
p
lo
y
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ar
m
o
n
ic
s
.
I
t
is
f
u
r
t
h
er
o
b
s
er
v
ed
th
at
t
h
e
f
u
zz
y
lo
g
ic
co
n
tr
o
ller
w
o
r
k
s
ef
f
ec
tiv
e
l
y
an
d
ac
h
ie
v
es
an
ac
ce
p
tab
le
lev
elo
f
h
ar
m
o
n
ic
s
u
p
p
r
ess
io
n
.
RE
F
E
R
E
NC
E
S
[1
]
Be
n
sra
j,
R.
,
Na
tara
jan
,
S
.
P
.
a
n
d
P
a
d
m
a
th
il
a
g
a
m
,
V
.
“
M
u
lt
ica
rrier
T
ra
p
e
z
o
id
a
l
P
W
M
S
trate
g
ies
Ba
s
e
d
On
C
o
n
tr
o
l
F
re
e
d
o
m
De
g
re
e
f
o
r
M
S
M
I”
,
A
R
P
N Jo
u
rn
a
l
o
f
En
g
in
e
e
rin
g
a
n
d
A
p
p
li
e
d
S
c
ien
c
e
s,
V
o
l
.
5
,
No
.
5
,
p
p
.
4
0
0
-
4
1
1
,
M
a
y
2
0
1
0
.
[2
]
A
s
g
h
a
r
A
b
e
d
in
i,
S
a
lah
e
d
d
i
n
Zab
a
law
i
a
n
d
A
d
e
l
N
a
siri,
“
A
th
re
e
-
p
h
a
se
u
n
in
terr
u
p
t
ib
le
p
o
w
e
r
su
p
p
ly
w
it
h
a
n
a
d
a
p
ti
v
e
re
f
e
r
e
n
c
e
w
a
v
e
f
o
r
m
g
e
n
e
ra
to
r”
,
In
t.
J.
P
o
w
e
r
El
e
c
tro
n
ics
,
V
o
l
.
1
,
No
.
1,
p
p
.
63
-
86
,
2
0
0
8
.
[3
]
Av
ik
Bh
a
tt
a
c
h
a
r
y
a
a
n
d
Ch
a
n
d
a
n
Ch
a
k
ra
b
o
rty
,
“
A
S
h
u
n
t
A
c
ti
v
e
P
o
w
e
r
F
il
ter
W
it
h
E
n
h
a
n
c
e
d
P
e
r
f
o
r
m
a
n
c
e
Us
in
g
A
N
N
-
Ba
se
d
P
re
d
ictiv
e
a
n
d
A
d
a
p
ti
v
e
Co
n
tr
o
ll
e
rs”
,
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
In
d
u
strial
El
e
c
tro
n
ics
,
Vo
l
.
5
8
,
N
o
.
2
,
p
p
.
421
-
4
2
8
,
F
e
b
r
u
a
ry
2
0
1
1
.
[4
]
A
n
to
n
y
A
lb
e
rt,
A
.
V
.
,
Ra
jas
e
k
a
r
a
n
,
V.
a
n
d
S
e
lv
a
p
e
ru
m
a
l,
S
.
“
Ha
r
m
o
n
ic
El
im
in
a
ti
o
n
o
f
H
-
Brid
g
e
S
e
v
e
n
L
e
v
e
l
In
v
e
rter”
,
Eu
ro
p
e
a
n
Jo
u
rn
a
l
o
f
S
c
ien
ti
f
ic Re
se
a
r
c
h
,
Vo
l.
6
5
,
No
.
4
,
p
p
.
5
9
4
-
6
0
0
,
2
0
1
1
.
[5
]
S
.
Je
e
v
a
n
a
n
th
a
n
,
“
Ev
o
lu
ti
o
n
a
ry
Co
m
p
u
ti
n
g
Ba
se
d
A
re
a
In
teg
ra
ti
o
n
P
W
M
T
e
c
h
n
iq
u
e
f
o
r
M
u
lt
il
e
v
e
l
In
v
e
rters
”
,
Jo
u
rn
a
l
o
f
El
e
c
tri
c
a
l
S
y
ste
m
s,
v
o
l.
3
,
n
o
.
2
,
p
p
.
6
1
-
7
2
,
2
0
0
7
.
[6
]
G
.
M
u
ru
g
e
sa
n
,
M
.
Ja
g
a
b
a
r
S
a
th
ik
,
M
.
P
ra
v
e
e
n
,
“
A
Ne
w
M
u
lt
il
e
v
e
l
In
v
e
rter
T
o
p
o
lo
g
y
Us
in
g
Les
s
Nu
m
b
e
r
o
f
S
w
it
c
h
e
s”
,
In
tern
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
f
En
g
in
e
e
rin
g
S
c
ien
c
e
a
n
d
T
e
c
h
n
o
lo
g
y
,
v
o
l,
3
,
n
o
.
2
,
p
p
.
1
5
0
0
-
1
5
1
0
,
F
e
b
2
0
1
1
.
B
I
O
G
RAP
H
I
E
S
O
F
AUTH
O
RS
Y.
La
li
th
a
K
a
m
e
sw
a
r
i
w
a
s
b
o
rn
in
V
i
jay
a
w
a
d
a
In
d
ia.
S
h
e
re
c
e
iv
e
d
th
e
B
.
T
e
c
h
(El
e
c
tri
c
a
l
a
n
d
El
e
c
tro
n
ics
E
n
g
in
e
e
rin
g
)
d
e
g
re
e
in
V
ij
a
y
a
In
stit
u
te
o
f
T
e
c
h
n
o
lo
g
y
f
o
r
W
o
m
e
n
,
V
ij
a
y
a
w
a
d
a
,
In
d
ia.
No
w
sh
e
is
d
o
in
g
M
.
T
e
c
h
(P
o
w
e
r
El
e
c
tro
n
ics
a
n
d
Driv
e
s
)
in
K.L
.
Un
iv
e
rsit
y
,
G
u
n
tu
r,
In
d
ia.
He
r
a
re
a
s
o
f
in
tere
st
a
re
P
o
w
e
r
El
e
c
tro
n
ics
a
n
d
P
o
w
e
r
Qu
a
li
ty
.
In
h
e
r
c
a
rrier
Tw
o
In
tern
a
ti
o
n
a
l
Jo
u
rn
a
l
w
a
s p
u
b
li
sh
e
d
.
Dr
.
O
.
Ch
a
n
d
r
a
S
e
k
h
a
r
is
c
u
rre
n
tl
y
th
e
P
ro
f
e
ss
o
r
a
n
d
H
e
a
d
o
f
EE
E
De
p
a
rtm
e
n
t
in
K.L
.
Un
iv
e
rsit
y
,
G
u
n
tu
r,
A
p
,
In
d
i
a
.
He
h
a
d
w
o
rk
e
d
in
d
if
f
e
re
n
t
c
a
p
a
c
it
ies
in
tec
h
n
ica
l
in
st
it
u
t
io
n
s
o
f
h
ig
h
e
r
lea
rn
in
g
f
o
r
a
p
e
rio
d
o
f
o
v
e
r
ten
y
e
a
r
s.
He
o
b
tain
e
d
B.
T
e
c
h
.
a
n
d
M
.
T
e
c
h
.
d
e
g
re
e
s
f
ro
m
JN
T
Un
iv
e
rsit
y
,
H
y
d
e
ra
b
a
d
.
H
e
o
b
tain
e
d
P
h
.
D.
in
t
h
e
y
e
a
r
2
0
1
4
f
ro
m
JN
T
Un
iv
e
r
sit
y
,
H
y
d
e
ra
b
a
d
in
th
e
a
re
a
o
f
M
o
d
u
la
ti
o
n
a
n
d
Co
n
tro
l
o
f
M
u
lt
i
–
L
e
v
e
l
In
v
e
rter
–
F
e
d
Dire
c
t
T
o
rq
u
e
Co
n
tr
o
l
o
f
In
d
u
c
ti
o
n
M
o
to
r
Driv
e
s.
He
h
a
s
o
v
e
r
2
5
p
u
b
li
c
a
ti
o
n
s
in
In
tern
a
t
io
n
a
l
a
n
d
Na
ti
o
n
a
l
Jo
u
rn
a
ls/C
o
n
f
e
re
n
c
e
s.
He
re
c
e
iv
e
d
p
re
stig
io
u
s
y
o
u
n
g
sc
ien
ti
st
a
w
a
rd
f
ro
m
S
ERB/
DST
.
His
c
u
rre
n
t
re
se
a
rc
h
in
tere
sts
a
re
in
M
u
lt
i
–
L
e
v
e
l
In
v
e
rters
,
F
A
C
T
S
Co
n
tr
o
ll
e
rs,
M
icro
G
rid
s
a
n
d
S
m
a
rt
G
rid
s.
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