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c
v
o
ltag
e
co
n
tr
o
ller
(
P
I
co
n
tr
o
ller
)
.
Usu
a
ll
y
,
t
h
e
m
o
d
u
latio
n
tech
n
iq
u
e
u
s
ed
w
h
en
m
o
d
eli
n
g
th
e
s
h
u
n
t
A
P
F
i
s
th
e
h
y
s
ter
e
s
is
-
b
an
d
cu
r
r
en
t
co
n
tr
o
ller
,
d
u
e
to
its
f
ast d
y
n
a
m
ic
r
esp
o
n
s
e
an
d
its
ea
s
y
i
m
p
le
m
en
tat
io
n
[
1
6
]
-
[
1
8
]
.
T
h
e
p
ath
s
h
o
u
ld
b
e
p
r
o
v
id
ed
t
o
d
r
ain
th
is
h
i
g
h
f
r
eq
u
e
n
c
y
r
i
p
p
le
cu
r
r
en
t;
th
is
g
o
al
c
o
u
ld
b
e
ac
h
iev
ed
w
it
h
a
L
C
r
ip
p
le
-
f
ilter
[
1
9
]
o
r
a
co
m
p
en
s
a
to
r
-
p
ass
i
v
e
f
ilter
s
t
r
u
ctu
r
e
d
esi
g
n
ed
f
o
r
t
h
is
p
ar
ti
cu
lar
p
u
r
p
o
s
e
[
2
0
]
.
T
h
e
n
ec
ess
i
t
y
o
f
ad
eq
u
ate
d
e
v
elo
p
m
e
n
t
a
n
ap
p
licatio
n
o
f
tech
n
iq
u
es
to
s
o
lv
e
p
o
ten
tial
p
r
o
b
le
m
s
o
f
r
eso
n
a
n
ce
an
d
h
ar
m
o
n
ic
d
is
t
o
r
tio
n
i
n
d
i
v
er
s
e
elec
tr
ical
n
et
w
o
r
k
s
h
as
b
ee
n
s
tr
e
s
s
ed
i
n
m
o
r
e
r
ec
e
n
t
co
n
tr
ib
u
tio
n
s
[
2
1
]
-
[
2
3
]
.
I
n
[
2
4
]
f
r
eq
u
en
c
y
s
ca
n
an
d
m
o
d
al
an
al
y
s
is
m
eth
o
d
s
ar
e
ap
p
lied
f
o
r
h
ar
m
o
n
ic
d
is
to
r
tio
n
an
d
s
y
s
te
m
r
eso
n
an
ce
s
id
en
t
if
ica
tio
n
i
n
w
a
v
e
p
o
w
er
p
lan
t
ap
p
licatio
n
s
,
s
o
t
h
at
ap
p
r
o
p
r
iate
co
r
r
ec
ti
o
n
m
ea
s
u
r
e
s
ca
n
b
e
ti
m
el
y
u
n
d
er
tak
e
n
.
A
d
is
tr
i
b
u
ted
s
er
ies/
h
y
b
r
id
-
s
h
u
n
t
co
m
p
e
n
s
atio
n
tech
n
iq
u
e
is
p
r
o
p
o
s
ed
in
[
2
5
]
f
o
r
h
ar
m
o
n
ic
m
i
tig
a
tio
n
i
n
in
d
u
s
tr
ial/co
m
m
er
cial
f
ac
i
liti
es.
T
h
e
m
ai
n
ai
m
o
f
th
i
s
p
ap
er
is
to
p
r
o
v
id
e
a
s
tr
o
n
g
an
d
h
ig
h
q
u
al
it
y
s
ch
e
m
e
o
f
co
m
p
e
n
s
atio
n
,
e.
g
.
,
s
h
u
n
t
f
ilter
i
n
g
,
wh
en
ap
p
lied
to
n
o
n
-
s
ti
f
f
s
y
s
te
m
s
.
T
h
e
p
r
o
p
o
s
ed
co
n
tr
o
l
is
g
o
o
d
en
o
u
g
h
to
p
r
o
v
id
e
th
e
f
o
l
lo
w
i
n
g
g
o
als
:
(
1
)
T
o
p
r
o
v
id
e
a
s
o
u
n
d
s
o
lu
tio
n
to
t
h
e
p
ar
allel
r
eso
n
a
n
ce
p
r
o
b
le
m
t
h
at
ca
n
b
e
p
r
ese
n
t
i
n
s
h
u
n
t
A
P
F
co
m
p
en
s
atio
n
,
(
2
)
T
o
allo
w
th
e
co
r
r
ec
t
s
h
u
n
t
f
ilter
i
n
g
co
m
p
e
n
s
atio
n
,
(
3
)
T
o
av
o
id
th
e
p
r
o
p
ag
atio
n
o
f
t
h
e
h
ar
m
o
n
ic
r
ip
p
le
cu
r
r
en
t
in
to
th
e
elec
tr
ic
n
et
w
o
r
k
,
(
4
)
T
o
r
ed
u
c
e,
as
m
u
c
h
as p
o
s
s
ib
le,
th
e
KV
A
r
ati
n
g
o
f
th
e
A
P
F.
2.
RE
S
E
ARCH
M
E
T
H
O
D
2
.
1
.
Sh
un
t
hy
br
id
f
ilte
r
–
pa
ra
llel r
eso
na
nce
ph
eno
m
e
no
n
A
m
aj
o
r
d
r
aw
b
ac
k
o
f
ac
tiv
e
p
o
w
er
f
ilter
s
i
s
th
eir
h
i
g
h
r
atin
g
,
e.
g
.
u
p
to
8
0
%
o
f
th
e
n
o
n
li
n
ea
r
lo
ad
in
s
o
m
e
p
r
ac
tical
ap
p
licatio
n
s
[
2
6
]
.
T
h
e
p
r
o
b
lem
s
e
m
er
g
e
w
h
e
n
th
e
A
P
F
b
ec
o
m
es
a
co
s
tl
y
s
o
l
u
tio
n
f
o
r
h
ar
m
o
n
ic
cu
r
r
en
t
m
iti
g
atio
n
an
d
r
ea
ctiv
e
p
o
w
er
co
m
p
e
n
s
atio
n
.
Du
e
to
ec
o
n
o
m
ic
co
n
c
er
n
s
an
d
p
r
o
b
lem
s
ass
o
ciate
d
w
it
h
i
n
s
u
latio
n
,
as
w
e
ll
as
s
er
ies
o
r
p
ar
allel
co
n
n
ec
t
io
n
o
f
s
w
i
tch
e
s
[
2
7
]
,
d
if
f
er
en
t
s
tr
u
ctu
r
e
s
o
f
h
y
b
r
id
f
i
lter
h
a
v
e
ev
o
l
v
ed
as
a
co
s
t
ef
f
ec
ti
v
e
s
o
lu
tio
n
f
o
r
th
e
co
m
p
e
n
s
atio
n
o
f
n
o
n
li
n
ea
r
l
o
ad
s
[
2
8
]
-
[
2
9
]
.
T
h
e
h
y
b
r
id
f
ilter
to
p
o
lo
g
y
p
r
esen
t
ed
in
th
is
p
ap
er
co
n
s
is
ts
o
f
a
s
h
u
n
t
A
P
F,
a
n
d
a
s
h
u
n
t
ca
p
ac
it
o
r
b
an
k
ac
tin
g
a
s
a
r
ea
ctiv
e
p
o
w
er
co
m
p
e
n
s
ato
r
.
Fo
r
th
i
s
co
m
p
e
n
s
atio
n
s
c
h
e
m
e,
t
h
e
s
h
u
n
t
A
P
F
p
lace
d
to
p
er
f
o
r
m
h
ar
m
o
n
i
c
eli
m
i
n
atio
n
an
d
r
ea
ctiv
e
p
o
w
e
r
co
m
p
en
s
atio
n
i
s
n
o
t i
n
cl
u
d
ed
in
its
co
m
p
e
n
s
at
io
n
m
ec
h
a
n
i
s
m
.
2
.
2
.
Sh
un
t
hy
br
id f
ilte
r
co
ntr
o
l
T
h
e
L
QR
m
et
h
o
d
is
a
p
o
w
er
f
u
l
tec
h
n
iq
u
e
f
o
r
d
esig
n
i
n
g
co
n
tr
o
ller
s
f
o
r
co
m
p
lex
s
y
s
te
m
s
th
at
h
av
e
s
tr
in
g
en
t
p
er
f
o
r
m
a
n
ce
r
eq
u
ir
e
m
en
ts
.
T
h
e
L
QR
m
et
h
o
d
s
ee
k
s
to
f
i
n
d
th
e
o
p
ti
m
al
co
n
tr
o
lle
r
th
at
m
in
i
m
izes
a
g
iv
e
n
co
s
t
f
u
n
ctio
n
.
T
h
is
co
s
t
f
u
n
c
tio
n
i
s
p
ar
a
m
eter
ized
b
y
t
w
o
m
atr
ices,
Q
an
d
R
,
t
h
at
w
eig
h
t
th
e
s
tate
v
ec
to
r
an
d
t
h
e
s
y
s
te
m
i
n
p
u
t,
r
esp
ec
tiv
el
y
.
A
L
Q
R
s
w
i
tch
in
g
co
n
tr
o
ller
is
d
esi
g
n
ed
to
b
e
a
b
le
to
g
en
er
ate
t
h
e
co
n
tr
o
l
s
ig
n
als
o
f
t
h
e
v
o
ltag
e
s
o
u
r
ce
in
v
er
ter
o
f
th
e
s
h
u
n
t
AP
F
u
n
d
er
th
e
SHF
co
m
p
en
s
ati
o
n
s
ch
e
m
e.
I
t
ca
n
b
e
o
b
s
er
v
ed
h
o
w
t
h
e
r
ef
er
e
n
ce
cu
r
r
en
t
g
e
n
er
ato
r
an
d
t
h
e
L
QR
-
b
ased
s
w
i
tch
in
g
cu
r
r
en
t
co
n
tr
o
ller
ar
e
in
co
r
p
o
r
ated
to
g
eth
er
to
co
m
p
lete
th
e
p
r
o
p
o
s
ed
co
n
tr
o
l
s
tr
ateg
y
f
o
r
th
e
SHF
co
m
p
e
n
s
atio
n
s
c
h
e
m
e.
T
h
e
f
lo
w
ch
ar
t
o
f
th
e
L
QR
ca
lc
u
lat
io
n
s
to
o
b
tain
th
e
f
ee
d
b
ac
k
g
ai
n
m
atr
ix
K.
G
iv
e
n
a
s
et
o
f
w
ei
g
h
ti
n
g
m
a
tr
ices,
Q
a
n
d
R
,
t
h
e
p
r
o
ce
s
s
i
n
t
h
e
ca
lc
u
lat
io
n
o
f
m
atr
i
x
K
b
ec
o
m
es
s
i
m
p
le.
Mo
s
t
o
f
t
h
e
t
i
m
e
s
,
t
h
e
weig
h
tin
g
m
atr
i
x
Q
r
ef
lects
t
h
e
i
m
p
o
r
ta
n
ce
o
f
th
e
s
tates
to
b
e
co
n
tr
o
lled
an
d
th
e
s
elec
tio
n
o
f
a
n
ap
p
r
o
p
r
iate
v
alu
e
o
f
R
h
as
to
b
e
ch
o
s
en
to
p
r
o
v
id
e
th
e
co
n
tr
o
l
ef
f
o
r
t
o
f
th
e
s
y
s
te
m
a
n
d
to
o
b
tain
a
f
i
n
ite
ti
m
e
co
n
v
er
g
e
n
ce
o
f
th
e
r
eg
u
lat
o
r
.
On
ce
t
h
e
L
QR
al
g
o
r
it
h
m
is
s
o
lv
ed
,
an
d
th
e
f
ee
d
b
ac
k
m
atr
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ar
e
o
b
tain
ed
.
T
h
e
r
ef
er
en
ce
cu
r
r
en
t
g
en
er
ato
r
to
b
e
u
s
ed
b
y
t
h
e
A
P
F is
i
m
p
le
m
en
ted
ac
co
r
d
in
g
w
it
h
[
5
]
,
an
d
is
g
i
v
en
b
y
,
i
fa
∗
(
t
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i
la
(
t
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(
P
T
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P
l
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s
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U
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(
ω
t
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ϕ
a1
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(
1
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i
fb
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t
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i
lb
(
t
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−
2
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P
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+
P
l
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s
s
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U
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Sin
(
ω
t
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ϕ
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(
2
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fc
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t
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t
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P
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w
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fk
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l
u
e
o
f
t
h
e
s
o
u
r
ce
v
o
ltag
e
s
u
k
,
/
a1
is
t
h
e
p
h
a
s
e
a
n
g
le
o
f
t
h
e
f
u
n
d
a
m
en
tal
co
m
p
o
n
e
n
t
o
f
t
h
e
lo
ad
v
o
ltag
e
at
p
h
a
s
e
a,
a
n
d
x
is
th
e
an
g
u
lar
s
p
ee
d
at
f
u
n
d
a
m
e
n
ta
l
f
r
eq
u
en
c
y
f
o
f
6
0
Hz.
T
h
e
ca
p
ac
ito
r
r
ea
ctan
ce
an
d
ca
p
ac
itan
ce
ar
e
ca
lcu
la
ted
as
X
cf
=
V
LL
2
Q
3
ϕ
(
4
)
C
f
=
1
ω
X
cf
(
5
)
w
h
er
e
X
Cf
is
t
h
e
ca
p
ac
itiv
e
r
ea
ctan
ce
,
V
LL
is
t
h
e
li
n
e
-
to
-
li
n
e
r
m
s
v
o
ltag
e,
a
n
d
C
f
is
t
h
e
ca
p
ac
itan
ce
p
er
p
h
ase.
P
ar
allel
r
eso
n
an
ce
p
h
en
o
m
e
n
o
n
o
f
L
o
ad
v
o
ltag
e
s
an
d
s
o
u
r
ce
cu
r
r
en
ts
:
t
o
id
en
tify
th
e
p
o
s
s
ib
le
r
eso
n
an
ce
p
r
o
b
le
m
,
an
a
n
al
y
s
is
u
s
in
g
t
h
e
eq
u
i
v
alen
t
cir
cu
it
o
f
th
e
elec
tr
ic
s
y
s
te
m
f
o
r
p
h
ase
a
is
p
er
f
o
r
m
ed
.
T
h
e
lin
ea
r
lo
ad
im
p
ed
an
ce
is
also
in
clu
d
ed
in
th
e
a
n
al
y
s
is
.
T
h
e
eq
u
iv
ale
n
t
i
m
p
ed
an
ce
o
f
th
e
cir
cu
i
t
at
an
y
h
ar
m
h
ar
m
o
n
ic
o
r
d
er
h
is
g
i
v
e
n
b
y
,
Z
a
=
1
(
1
(
R
s
+
jh
ω
L
s
)
⁄
)
+
(
1
(
R
a
+
jh
ω
L
a
)
⁄
)
+
(
1
(
−
j
1
h
ω
C
f
)
⁄
)
(
6
)
T
h
e
test
s
y
s
te
m
o
f
Fi
g
u
r
e
1
w
a
s
i
m
p
le
m
e
n
ted
in
Ma
tlab
/
Si
m
u
li
n
k
an
d
th
e
s
i
m
u
la
tio
n
r
esu
lt
s
ar
e
s
h
o
w
n
in
Fi
g
u
r
e
3
.
Fi
g
u
r
e
3
(
a)
illu
s
tr
ates
t
h
e
lo
ad
v
o
lta
g
e
s
;
o
n
ce
t
h
e
s
h
u
n
t
A
P
F
is
s
w
i
tch
ed
o
n
a
f
ter
o
n
e
p
er
io
d
.
Dis
co
r
d
an
t
w
a
v
e
f
o
r
m
s
ap
p
ea
r
,
an
d
th
is
b
eh
av
io
r
m
a
y
b
e
ca
u
s
ed
b
y
a
r
eso
n
a
n
ce
co
n
d
itio
n
p
r
o
d
u
ce
d
b
y
th
e
h
ar
m
o
n
ic
i
n
ter
ac
tio
n
o
f
th
e
A
P
F,
t
h
e
ca
p
ac
ito
r
b
an
k
an
d
th
e
lo
ad
.
C
o
n
s
eq
u
en
t
l
y
,
t
h
e
s
a
m
e
s
it
u
atio
n
is
p
r
esen
ted
in
t
h
e
s
o
u
r
ce
cu
r
r
e
n
t
w
a
v
ef
o
r
m
s
o
f
Fig
u
r
e
3
(
b
)
.
3.
LQ
R
-
SWI
T
CH
I
N
G
CO
NT
RO
L
L
E
R
Fo
r
th
e
d
esi
g
n
ed
L
Q
R
-
b
ased
s
w
itc
h
in
g
co
n
tr
o
ller
th
e
o
p
ti
m
u
m
co
n
tr
o
l
o
f
t
h
e
s
y
s
te
m
i
s
b
ased
o
n
m
i
n
i
m
izi
n
g
t
h
e
p
er
f
o
r
m
a
n
ce
i
n
d
ex
o
f
t
h
e
f
o
r
m
[
1
2
]
,
J
=
∫
{
(
w
−
w
r
e
f
)
T
Q
(
w
−
w
r
ef
)
+
u
T
Ru
}
dt
∞
0
(
7
)
w
h
er
e
w
is
th
e
s
tate
v
ec
to
r
a
n
d
w
ref
is
a
d
esire
d
r
ef
er
e
n
ce
s
t
ate
v
ec
to
r
,
Q
is
a
Her
m
itian
m
atr
ix
o
r
a
s
y
m
m
etr
ic
p
o
s
itiv
e
s
e
m
i
-
d
e
f
i
n
ite
m
atr
i
x
,
R
i
s
a
s
y
m
m
e
tr
ic
p
o
s
iti
v
e
d
e
f
i
n
ite
m
atr
i
x
.
Fo
r
t
h
i
s
p
ar
ticu
l
ar
ca
s
e,
R
is
s
ca
lar
an
d
s
et
s
a
p
en
alt
y
o
n
th
e
m
ax
i
m
u
m
co
n
tr
o
l
ac
tio
n
,
m
is
th
e
o
p
ti
m
al
co
n
tr
o
l
la
w
a
n
d
T
is
t
h
e
tr
a
n
s
p
o
s
e
o
p
er
ato
r
.
T
h
e
m
in
i
m
izatio
n
o
f
th
e
co
s
t f
u
n
ctio
n
r
es
u
lt
s
in
a
f
ee
d
b
ac
k
co
n
tr
o
l o
f
th
e
f
o
r
m
m
=
−
K
(
w
−
w
r
ef
)
(
8
)
w
h
er
e
t
h
e
g
a
in
m
atr
i
x
K
is
o
b
tain
ed
b
y
t
h
e
s
o
l
u
tio
n
o
f
t
h
e
s
tead
y
s
tate
R
icca
ti
eq
u
atio
n
[
7
]
.
On
ce
a
s
u
itab
le
g
ain
m
atr
i
x
K
is
s
elec
ted
,
th
e
s
w
itc
h
in
g
co
n
tr
o
l is o
b
tai
n
ed
f
r
o
m
[
1
2
]
,
[
1
5
]
:
m
=
−
hys
(
K
(
w
−
w
r
ef
)
)
(
9
)
w
h
er
e
th
e
h
y
s
f
u
n
ctio
n
i
s
d
ef
i
n
ed
b
y
if
K
(
w
−
w
r
e
f
)
>
∆
i
2
the
n
hys
(
K
(
w
−
w
r
ef
)
)
=
1
(
1
0
)
e
l
s
e
if
K
(
w
−
w
r
ef
)
<
∆
i
2
the
n
hys
(
K
(
w
−
w
r
ef
)
)
=
−
1
(
1
1
)
T
h
is
tech
n
iq
u
e
i
s
ca
lled
s
w
itc
h
in
g
b
an
d
tr
ac
k
in
g
co
n
tr
o
l
i
n
[
1
2
]
,
an
d
th
e
s
elec
tio
n
o
f
Di
d
eter
m
in
e
s
th
e
s
w
itch
in
g
f
r
eq
u
e
n
c
y
w
h
ile
tr
ac
k
in
g
t
h
e
r
e
f
er
en
ce
.
T
h
e
eq
u
iv
ale
n
t
cir
c
u
it
o
f
th
e
h
y
b
r
id
f
ilter
co
m
p
e
n
s
at
io
n
s
ch
e
m
e
,
w
h
er
e
th
e
co
m
b
i
n
ati
o
n
o
f
b
o
th
li
n
ea
r
an
d
n
o
n
li
n
e
ar
lo
ad
s
is
r
ep
r
esen
ted
b
y
a
s
er
ies
R
L
eq
u
i
v
ale
n
t
lo
ad
.
T
h
e
s
tate
v
ec
to
r
x
an
d
t
h
e
s
tate
-
s
p
ac
e
eq
u
atio
n
ar
e
o
b
tain
ed
f
r
o
m
t
h
e
an
a
l
y
s
is
.
x
=
[
i
1
i
2
i
3
i
4
]
T
(
1
2
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
,
Vo
l.
9
,
No
.
4
,
Dec
em
b
er
2
0
1
8
:
1685
–
1
6
9
2
1688
x
̇
=
[
−
R
s
L
s
0
0
0
−
R
f
L
f
0
0
0
−
R
eq
L
eq
−
1
L
s
−
1
L
f
−
1
L
eq
1
C
f
1
C
f
−
1
C
f
0
]
x
+
[
1
L
s
0
0
0
]
u
s
+
[
0
V
dc
L
s
0
0
]
m
(
1
3
)
Fo
r
co
n
v
en
ie
n
ce
,
th
e
esta
te
v
ec
to
r
x
ca
n
b
e
tr
an
s
f
o
r
m
ed
in
to
a
n
e
w
s
tate
v
ec
to
r
w
,
w
h
ich
i
s
ex
p
r
ess
ed
in
ter
m
s
o
f
th
e
lo
ca
l
v
ar
iab
les
o
f
co
m
p
e
n
s
at
io
n
an
d
/o
r
th
e
co
n
tr
o
l
v
ar
iab
les,
e.
g
.
,
th
e
f
ilter
i
n
g
cu
r
r
en
t
i
f
,
t
h
e
c
u
r
r
en
t
tr
o
u
g
h
th
e
ca
p
ac
ito
r
ic
,
th
e
te
r
m
i
n
al
v
o
ltag
e
o
f
t
h
e
ca
p
ac
ito
r
u
c
a
n
d
th
e
lo
ad
cu
r
r
en
t
i
l
.
Fro
m
t
h
e
r
elatio
n
s
h
ip
b
et
w
ee
n
t
h
e
s
tate
v
ec
to
r
x
i
n
(
1
1
)
a
n
d
t
h
e
n
e
w
s
tate
v
ec
to
r
w
is
o
b
s
er
v
ed
.
T
h
e
s
tate
tr
an
s
f
o
r
m
atio
n
is
f
in
a
ll
y
m
ad
e
b
y
u
s
i
n
g
th
e
tr
a
n
s
f
o
r
m
atio
n
m
atr
i
x
V
as s
h
o
w
n
i
n
(
1
3
)
,
w
=
[
i
f
i
c
u
c
i
l
]
=
[
0
1
0
0
1
1
−
1
0
0
0
0
0
0
1
1
0
]
[
i
1
i
2
i
3
u
c
]
=
V
x
(
1
4
)
=
[
−
R
f
L
f
0
−
1
L
f
0
R
s
L
s
−
R
f
L
f
−
−
1
L
s
−
1
L
f
−
1
L
eq
−
R
s
L
s
+
R
f
L
f
0
0
1
C
f
0
0
0
1
L
eq
−
R
eq
L
eq
]
;
1
=
[
0
1
L
s
0
0
]
;
2
=
[
U
dc
L
f
U
dc
L
f
0
0
]
(
1
5
)
Fo
r
th
e
co
n
tr
o
l
la
w
r
ep
r
ese
n
ted
b
y
(
8
)
,
it
is
ass
u
m
ed
t
h
at
w
e
h
a
v
e
f
u
ll
co
n
tr
o
l
o
v
er
m
a
n
d
th
e
s
w
itc
h
in
g
co
n
tr
o
l
is
b
ased
o
n
a
lin
ea
r
co
m
b
i
n
atio
n
o
f
m
u
ltip
le
s
tates
[
1
5
]
.
Fo
r
m
o
s
t
r
ea
lis
t
ic
ap
p
licatio
n
s
,
t
h
e
L
Q
R
p
r
o
b
le
m
i
s
s
o
lv
ed
v
ia
a
co
m
p
u
tati
o
n
al
p
ac
k
a
g
e,
s
u
c
h
as
Ma
tlab
.
T
h
e
Ma
tlab
co
m
m
an
d
lq
r
ð
K;
Q;
R
Þ
,
w
it
h
¼
1
þ
2
,
s
o
l
v
es
t
h
e
L
Q
R
p
r
o
b
le
m
a
n
d
t
h
e
a
s
s
o
ciate
d
R
icca
ti
eq
u
atio
n
.
T
h
is
co
m
m
an
d
ca
lcu
lates
th
e
m
atr
i
x
o
f
o
p
ti
m
u
m
f
ee
d
b
ac
k
co
n
tr
o
l
K,
s
o
th
at
th
e
co
n
tr
o
l
f
ee
d
b
ac
k
la
w
(
8
)
m
i
n
i
m
ize
s
th
e
p
e
r
f
o
r
m
a
n
ce
in
d
e
x
(
7
)
s
u
b
j
ec
t
to
(
1
4
)
.
Mo
s
t
o
f
th
e
ti
m
es,
t
h
e
w
ei
g
h
t
in
g
m
atr
i
x
Q
r
ef
lect
s
t
h
e
i
m
p
o
r
tan
ce
o
f
th
e
s
tates
to
b
e
co
n
tr
o
lled
an
d
th
e
s
elec
tio
n
o
f
an
ap
p
r
o
p
r
iate
v
alu
e
o
f
R
h
a
s
to
b
e
ch
o
s
en
to
p
r
o
v
id
e
th
e
co
n
tr
o
l
ef
f
o
r
t
o
f
th
e
s
y
s
te
m
a
n
d
to
o
b
tain
a
f
i
n
ite
ti
m
e
co
n
v
er
g
e
n
ce
o
f
t
h
e
r
eg
u
lat
o
r
[
1
2
]
.
A
n
alter
n
ati
v
e
f
o
r
th
e
tu
n
in
g
d
ec
is
io
n
o
f
th
e
w
ei
g
h
tin
g
m
atr
ices
i
s
to
a
n
al
y
ze
th
e
s
tep
r
esp
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n
s
e
o
f
th
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s
y
s
te
m
in
o
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d
er
to
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u
m
p
-
s
tar
t
th
e
lear
n
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a
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d
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a
n
d
b
e
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p
ly
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L
Q
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d
esig
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r
ac
tical
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r
o
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L
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R
al
g
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ith
m
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s
o
lv
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,
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d
th
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f
ee
d
b
ac
k
m
atr
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ar
e
o
b
tain
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,
th
e
i
m
p
le
m
e
n
tatio
n
w
o
u
l
d
p
r
o
ce
ed
w
it
h
n
o
f
u
r
t
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er
ca
lcu
latio
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s
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f
t
h
e
L
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alg
o
r
it
h
m
,
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n
less
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cir
c
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it
an
d
/o
r
lo
ad
co
n
d
itio
n
s
ar
e
ch
an
g
ed
.
4.
RE
SU
L
T
S
A
ND
AN
AL
Y
SI
S
T
h
e
Sh
u
n
t
A
ct
iv
e
P
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w
er
Fi
lter
is
i
m
p
le
m
e
n
ted
in
M
AT
L
A
B
is
s
h
o
w
n
in
Fi
g
u
r
e
1
an
d
th
e
co
r
r
esp
o
n
d
in
g
n
o
n
lin
ea
r
L
o
a
d
is
s
h
o
w
n
in
F
ig
u
r
e
2
an
d
r
esu
lt
s
ar
e
d
escr
ib
ed
.
Fo
r
in
s
tan
ce
,
th
e
w
ei
g
h
ti
n
g
m
atr
i
x
to
m
i
n
i
m
ize
th
e
p
er
f
o
r
m
an
ce
in
d
e
x
o
f
t
h
e
L
Q
R
p
r
o
b
lem
is
s
elec
ted
as
Q
¼
d
ia
g
ð
½
2
5
1
0
3
0
Þ
,
w
h
er
e
d
iag
s
tan
d
s
f
o
r
d
iag
o
n
a
l
m
atr
i
x
,
an
d
R
¼
0
:0
1
.
A
lth
o
u
g
h
t
h
e
L
Q
R
s
w
i
tch
i
n
g
b
an
d
cu
r
r
en
t
co
n
tr
o
ller
is
clai
m
ed
to
b
e
r
o
b
u
s
t,
a
n
d
s
o
m
e
ti
m
es,
o
n
l
y
th
e
ca
lcu
lati
o
n
o
f
t
h
e
f
ee
d
b
ac
k
m
atr
i
x
o
f
a
s
i
n
g
le
-
p
h
a
s
e
i
s
p
er
f
o
r
m
ed
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d
t
h
e
r
esu
lts
u
s
e
d
f
o
r
t
h
e
o
th
er
t
w
o
p
h
a
s
es,
f
o
r
th
i
s
ca
s
e
s
tu
d
y
,
w
e
h
a
v
e
d
ec
i
d
ed
to
ca
lcu
late
th
e
r
ed
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ce
d
f
ee
d
b
ac
k
g
ai
n
m
atr
i
ce
s
f
o
r
ea
ch
p
h
ase
a,
b
,
c,
a
cc
o
r
d
in
g
th
e
f
lo
w
c
h
ar
t.
T
h
e
r
esu
lti
n
g
f
ee
d
b
ac
k
m
atr
ices
f
o
r
ea
ch
p
h
ase
ar
e
g
i
v
en
a
s
,
K
a
=
[
4
9
.
9
4
6
8
9
.
3
7
8
7
3
4
.
5
6
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]
K
b
=
[
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K
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0
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.
7
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T
h
e
r
esu
lts
o
b
tain
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f
r
o
m
th
e
s
i
m
u
latio
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w
it
h
Ma
t
lab
/Si
m
u
lin
k
ar
e
s
h
o
w
n
i
n
Fi
g
u
r
e
3
.
I
t
ca
n
b
e
o
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s
er
v
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th
at
n
o
w
,
b
o
th
t
h
e
lo
ad
v
o
ltag
es
s
h
o
w
n
i
n
Fi
g
u
r
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3
(
a)
,
an
d
th
e
s
o
u
r
ce
c
u
r
r
en
ts
s
h
o
w
n
in
Fig
u
r
e
3
(
b
)
,
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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P
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w
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&
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in
d
ex
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d
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ce
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ll.
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n
ad
d
itio
n
,
t
h
e
s
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r
ce
c
u
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en
ts
ar
e
p
lace
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i
n
p
h
ase
w
it
h
t
h
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v
o
lta
g
es,
th
u
s
co
m
p
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s
at
in
g
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h
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r
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cti
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p
o
w
er
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d
ac
h
iev
i
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a
u
n
i
t
y
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p
o
w
er
f
ac
to
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.
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n
s
i
m
ila
r
w
a
y
,
f
r
o
m
Fi
g
u
r
e
3
(
a)
,
F
ig
u
r
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3
(
b
)
an
d
Fig
u
r
e
3
(
c
)
,
th
at
t
h
er
e
is
n
o
t
h
ar
m
o
n
ic
r
i
p
p
le
co
n
ta
m
i
n
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n
in
to
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tr
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et
w
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k
.
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h
e
h
i
g
h
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f
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eq
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ito
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p
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h
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g
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ee
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ch
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ite
t
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h
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n
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ted
at
p
h
ase
c
is
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llu
s
tr
ated
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n
Fi
g
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r
e
3
(
d
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.
A
s
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co
m
p
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x
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o
b
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h
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t
in
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n
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n
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h
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g
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3
(
d
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d
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n
t i
n
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n
s
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3
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,
w
h
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s
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e
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r
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en
t
i
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ted
w
h
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n
t
h
e
co
m
p
en
s
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n
o
f
r
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e
p
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w
as
p
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to
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t
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b
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s
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ig
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c
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ig
h
f
r
eq
u
e
n
c
y
r
ip
p
le
cu
r
r
en
t
h
as
b
ee
n
d
r
ain
e
d
-
o
u
t
th
o
r
o
u
g
h
t
h
e
ca
p
ac
ito
r
as it
w
as e
x
p
ec
ted
a
n
d
s
p
ec
i
f
ied
i
n
t
h
e
co
n
tr
o
l d
es
ig
n
.
T
h
e
to
tal
h
ar
m
o
n
ic
d
i
s
to
r
tio
n
o
f
t
h
e
ca
p
ac
ito
r
cu
r
r
en
t (
i
ce
)
w
as
f
o
u
n
d
to
b
e
3
.
1
%,
b
ar
ely
i
n
cr
ea
s
i
n
g
t
h
e
r
a
m
’
s
c
u
r
r
en
t,
d
u
e
to
th
e
h
ar
m
o
n
ic
r
ip
p
le
cu
r
r
en
t.
5.
CO
NCLU
SI
O
N
An
in
teg
r
ated
co
n
tr
o
l
f
o
r
a
s
h
u
n
t
h
y
b
r
id
f
ilter
co
m
p
en
s
a
tio
n
s
c
h
e
m
e
h
as
b
ee
n
p
r
o
p
o
s
ed
.
T
h
is
in
te
g
r
ated
co
n
tr
o
l
is
b
ased
o
n
th
e
d
esig
n
o
f
a
L
QR
-
b
ased
cu
r
r
en
t
co
n
tr
o
ller
,
f
o
r
a
s
h
u
n
t
h
y
b
r
id
f
il
ter
,
w
h
ic
h
h
as
b
ee
n
s
p
ec
i
f
icall
y
d
esi
g
n
e
d
an
d
p
r
o
p
o
s
ed
in
th
is
co
n
tr
i
b
u
tio
n
f
o
r
th
is
S
HF
s
c
h
e
m
e
o
f
co
m
p
en
s
a
tio
n
i
n
p
ar
ticu
lar
.
A
t t
h
e
e
n
d
o
f
th
e
p
r
o
ce
s
s
,
th
e
s
tr
u
ct
u
r
e
o
f
th
e
SH
F is
co
m
p
o
s
ed
b
y
a
s
h
u
n
t
A
cti
v
e
P
o
w
er
Fil
ter
a
n
d
a
s
h
u
n
t
ca
p
ac
ito
r
b
an
k
.
Ob
t
ain
ed
r
es
u
lts
h
a
v
e
s
h
o
w
n
a
r
e
m
ar
k
ab
le
p
er
f
o
r
m
a
n
ce
o
n
t
h
e
eli
m
i
n
atio
n
o
f
h
ar
m
o
n
ic
d
is
to
r
tio
n
(
n
u
ll
T
HD
in
d
ex
ac
h
ie
v
ed
b
y
th
e
s
h
u
n
t
A
P
F)
an
d
th
e
co
m
p
en
s
atio
n
o
f
r
ea
ctiv
e
p
o
w
er
ac
h
iev
ed
w
i
th
a
co
n
v
en
t
io
n
al
s
h
u
n
t
ca
p
ac
ito
r
b
an
k
i
s
al
s
o
co
m
p
a
n
ied
b
y
u
s
i
n
g
t
h
e
s
h
u
n
t
ca
p
ac
ito
r
b
an
k
as
a
h
ig
h
-
p
ass
r
ip
p
le
f
ilter
.
T
h
er
ef
o
r
e,
th
e
h
ar
m
o
n
ic
r
ip
p
le
c
u
r
r
en
t
p
r
o
p
ag
atio
n
i
n
to
t
h
e
elec
tr
i
c
s
y
s
te
m
h
as
b
ee
n
r
estricte
d
to
a
g
iv
en
p
ath
.
.
.
T
h
is
co
n
tr
o
l
ac
tio
n
h
as
a
v
er
y
i
m
p
o
r
tan
t
s
ig
n
if
icatio
n
b
ec
au
s
e
it
p
r
o
v
id
es
a
s
o
u
n
d
s
o
lu
tio
n
to
th
e
p
o
ten
tial
p
r
esen
ce
o
f
p
ar
allel
-
r
eso
n
a
n
ce
ass
o
c
iated
to
th
e
s
h
u
n
t
ac
tiv
e
f
ilter
in
g
p
r
o
ce
s
s
,
as
w
e
ll
as
it
av
o
id
s
t
h
e
h
ar
m
o
n
ic
r
ip
p
le
p
r
o
p
ag
atio
n
in
to
th
e
e
lectr
ic
n
et
w
o
r
k
,
e.
g
.
,
to
t
h
e
lo
ad
v
o
lta
g
es
at
t
h
e
p
o
in
t
o
f
co
m
m
o
n
co
u
p
li
n
g
.
I
t
h
as
b
ee
n
d
e
m
o
n
s
tr
ated
th
a
t
th
e
p
r
o
p
o
s
ed
co
n
tr
o
l
p
r
o
v
id
es
a
co
s
t
-
e
f
f
e
cti
v
e
s
o
l
u
tio
n
f
o
r
s
h
u
n
t
ac
ti
v
e
p
o
w
er
f
ilter
i
n
g
s
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n
ce
tr
a
n
s
f
o
r
m
i
n
g
t
h
e
s
h
u
n
t
AP
F
in
to
a
s
h
u
n
t
h
y
b
r
id
f
ilter
t
o
p
o
lo
g
y
r
ed
u
ce
s
t
h
e
o
v
er
all
s
ize
a
n
d
co
s
t
o
f
t
h
e
s
h
u
n
t
A
P
F
d
u
e
to
th
e
s
ize
r
ed
u
c
tio
n
o
n
t
h
e
KV
A
r
at
in
g
n
ee
d
ed
b
y
t
h
e
elec
tr
o
n
i
c
p
o
w
er
co
n
v
er
ter
o
f
t
h
e
s
h
u
n
t
A
P
F.
RE
F
E
R
E
NC
E
S
[1
]
K.
S
e
lv
a
k
u
m
a
r1
,
e
t
a
l.
,
“
H
y
ste
re
sis
Co
n
tro
l
3
-
L
e
v
e
l
S
I
-
NP
C
I
n
v
e
rter
w
it
h
W
in
d
En
e
rg
y
S
y
ste
m
,”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
P
o
we
r E
lec
tro
n
ics
a
n
d
Dr
ive
S
y
ste
m
,
v
ol
/i
ss
u
e
:
8
(
4
)
,
p
p
.
1
7
6
4
-
1
7
7
0
,
2
0
1
7
.
[2
]
J.
M.
M
.
Orte
g
a
,
e
t
a
l
.
,
“
Ov
e
rv
ie
w
o
f
p
o
w
e
r
e
lec
tro
n
ics
tec
h
n
o
lo
g
y
a
n
d
a
p
p
li
c
a
ti
o
n
s
i
n
p
o
w
e
r
g
e
n
e
ra
ti
o
n
tran
sm
issio
n
a
n
d
d
istri
b
u
t
io
n
,
”
J
o
u
rn
a
l
o
f
M
o
d
e
rn
Po
we
r
S
y
ste
ms
a
n
d
C
lea
n
En
e
rg
y
,
v
ol
/i
ss
u
e
:
5
(
4
)
,
p
p
.
4
9
9
-
5
1
4
,
2
0
1
7
.
[3
]
S
.
Qin
,
e
t
a
l.
,
“
A
h
ig
h
p
o
w
e
r
d
e
n
sity
se
ries
-
st
a
c
k
e
d
e
n
e
rg
y
b
u
f
fe
r
f
o
r
p
o
w
e
r
p
u
lsa
ti
o
n
d
e
c
o
u
p
li
n
g
in
si
n
g
le
p
h
a
se
c
o
n
v
e
rters
,”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
Po
we
r E
lec
tro
n
ics
,
v
ol
/
issu
e
:
32
(
6
)
,
2
0
1
7
.
[4
]
H
.
A
tri
a
,
“
Ev
a
lu
a
ti
o
n
o
f
se
lec
ti
v
e
h
a
rm
o
n
ic
e
li
m
in
a
ti
o
n
p
u
lse
w
id
th
m
o
d
u
lati
o
n
tec
h
n
i
q
u
e
f
o
r
u
n
ip
o
lar
sin
g
le
-
f
a
z
e
H
-
b
rid
g
e
in
v
e
rter:
c
o
m
p
a
ra
ti
v
e
s
tu
d
y
,”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
Po
we
r
El
e
c
tro
n
ics
a
n
d
Dr
ive
S
y
ste
ms
,
v
ol
/i
ss
u
e
:
9
(
3
)
,
2
0
1
8
.
[5
]
M
.
N
.
M
o
rs
h
id
i,
e
t
a
l
.
,
“
W
h
a
le
o
p
ti
m
iza
ti
o
n
a
lg
o
ri
th
m
b
a
se
d
te
c
h
n
iq
u
e
f
o
r
d
istri
b
u
ted
g
e
n
e
ra
ti
o
in
st
a
ll
a
ti
o
n
in
d
istri
b
u
ti
o
n
sy
ste
m
,”
Bu
ll
e
ti
n
o
f
E
lec
t
ric
a
l
En
g
in
e
e
rin
g
a
n
d
In
f
o
rm
a
ti
c
s
,
v
ol
/i
ss
u
e
:
7
(
3
0
,
2
0
1
8
.
[6
]
S
in
g
h
B
.
,
e
t
a
l
.
,
“
A
re
v
ie
w
o
f
a
c
t
iv
e
f
il
ters
f
o
r
p
o
w
e
r
q
u
a
li
ty
i
m
p
r
o
v
e
m
e
n
t
,”
IEE
E
T
ra
n
s
in
E
lec
tro
n
,
v
o
l.
46
,
p
p
.
960
–
71
,
1
9
9
9
.
[7
]
G
ra
d
y
W
.
M
.
,
e
t
a
l.
,
“
S
u
rv
e
y
o
f
a
c
ti
v
e
p
o
we
r
li
n
e
c
o
n
d
it
i
o
n
i
n
g
m
e
t
h
o
d
o
l
o
g
ies
,”
IEE
E
T
ra
n
s P
o
we
r De
li
,
v
o
l.
5
,
p
p
.
1
5
3
6
–
42
,
1
9
9
0
.
[8
]
A
rê
t
e
s
M
.
,
e
t
a
l.
,
“
T
h
re
e
-
p
h
a
se
fo
u
r
-
w
ire
sh
u
n
t
a
c
ti
v
e
f
il
ter
c
o
n
tro
l
stra
teg
ies
,”
IEE
E
T
ra
n
s
Po
we
r
El
e
c
tro
n
,
v
o
l
.
12
,
p
p
.
3
1
1
–
8
,
1
9
9
7
.
[9
]
Ch
a
n
g
G
.
W
.
a
n
d
S
h
e
T
.
C.
,
“
A c
o
m
p
a
ra
ti
v
e
stu
d
y
o
f
a
c
ti
v
e
p
o
w
e
r
f
il
ter r
e
fe
re
n
c
e
c
o
m
p
e
n
sa
ti
o
n
a
p
p
ro
a
c
h
e
s
,”
Pro
c
IEE
E
p
o
we
r en
g
so
c
su
mm
e
r me
e
ti
n
g
,
v
o
l.
2
,
p
p
.
1
0
1
7
–
21
,
2
0
0
2
.
[1
0
]
M
e
d
in
a
A
.
a
n
d
R
a
m
o
s
C
.
H
.
A.
,
“
A
n
a
c
ti
v
e
p
o
w
e
r
f
il
ter
in
p
h
a
se
c
o
o
rd
i
n
a
te
s
f
o
r
h
a
rm
o
n
ic
m
it
ig
a
ti
o
n
,”
IEE
E
T
ra
n
s
Po
we
r De
li
,
v
o
l.
22
,
p
p
.
1
9
9
1
–
3
,
2
0
0
7
.
[1
1
]
S
in
g
h
B
.
,
e
t
a
l
.
,
“
Co
m
p
u
ter
-
a
id
e
d
m
o
d
e
li
n
g
a
n
d
sim
u
latio
n
o
f
a
c
ti
v
e
p
o
w
e
r
f
il
ters
,”
El
e
c
tra
Po
we
r
Co
mp
t
o
n
S
it
s
,
v
o
l.
27
,
p
p
.
1
2
2
7
–
41
,
1
9
9
9
.
[1
2
]
A
z
e
v
e
d
o
H
.
J
.
,
e
t
a
l.
,
“
A
n
a
c
ti
v
e
p
o
w
e
r
f
il
ter
w
it
h
d
irec
t
c
u
rre
n
t
c
o
n
tro
l
f
o
r
p
o
w
e
r
q
u
a
li
ty
c
o
n
d
it
i
o
n
i
n
g
,”
El
e
c
tra
Po
we
r Co
mp
t
o
n
S
it
s
,
v
o
l.
36
,
p
p
.
587
–
6
0
1
,
2
0
0
8
.
[1
3
]
Ku
rsk
T
.
,
e
t
a
l.
,
“
Cu
rre
n
t
re
f
e
re
n
c
e
g
e
n
e
ra
to
r
f
o
r
5
0
-
Hz
a
n
d
1
6
.
7
-
H
z
sh
u
n
t
a
c
ti
v
e
p
o
w
e
r
f
il
ters
,”
In
t
J
El
e
c
tro
n
,
v
o
l.
97
,
p
p
.
63
–
81
,
2
0
1
0
.
[1
4
]
P
a
rk
T
.
J
.
,
e
t
a
l.
,
“
S
h
u
n
t
a
c
ti
v
e
f
il
ter f
o
r
re
a
c
ti
v
e
p
o
we
r
c
o
m
p
e
n
sa
ti
o
n
,”
I
n
t
J
El
e
c
tro
n
,
v
o
l
.
88
,
p
p
.
1
2
5
7
–
69
,
2
0
0
1
.
[1
5
]
P
a
ti
n
a
R
.
D
.
a
n
d
S
i
n
g
h
S
.
P.
,
“
Dig
it
a
l
sig
n
a
l
p
ro
c
e
ss
o
r
b
a
se
d
sh
u
n
t
a
c
ti
v
e
f
il
ter
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ll
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ted
h
a
rm
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ics
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re
a
c
ti
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c
o
m
p
e
n
sa
ti
o
n
,”
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lec
tra
P
o
we
r Co
m
p
to
n
S
it
s
,
v
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l.
38
,
p
p
.
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3
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–
59
,
2
0
1
0
.
[1
6
]
Bu
s
S
.
,
e
t
a
l.
,
“
C
o
m
p
a
riso
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f
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u
rre
n
t
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tro
l
tec
h
n
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q
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e
s
f
o
r
a
c
ti
v
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f
il
ter
a
p
p
li
c
a
ti
o
n
s
,”
IE
EE
T
ra
n
s
in
El
e
c
tro
n
,
v
o
l.
45
,
p
p
.
7
2
2
–
9
,
1
9
9
8
.
[1
7
]
G
o
sh
A
.
a
n
d
A
ld
rich
G
.
,
“
P
o
w
e
r
q
u
a
li
ty
e
n
h
a
n
c
e
m
e
n
t
u
sin
g
c
u
sto
m
p
o
we
r
d
e
v
ice
s
,”
L
o
w
e
r
Ac
a
d
e
m
ic
P
u
b
li
s
h
e
rs
,
2
0
0
2
.
[1
8
]
De
jsa
k
u
lri
t
D
.
,
e
t
a
l.
,
“
A
n
o
v
e
l
e
q
u
a
l
sa
m
p
li
n
g
s
w
it
c
h
in
g
str
a
teg
y
f
o
r
a
c
ti
v
e
p
o
w
e
r
f
il
ters
,”
El
e
c
tr
P
o
we
r
Co
mp
t
o
n
S
it
s
,
v
o
l
.
22
,
p
p
.
4
0
5
–
21
,
1
9
9
4
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
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8
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8
694
I
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em
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er
2
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[1
9
]
A
d
a
g
e
H
.
,
e
t
a
l.
,
“
Co
m
p
a
riso
n
s
i
n
c
ircu
it
c
o
n
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ig
u
ra
ti
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n
a
n
d
f
il
terin
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p
e
rf
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n
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h
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ri
d
a
n
d
p
u
re
sh
u
n
t
a
c
ti
v
e
f
il
ters
,”
IAS
An
n
u
l
M
e
e
t
,
v
o
l.
2
,
p
p
.
1
1
9
5
–
2
0
0
2
,
2
0
0
3
.
[2
0
]
G
h
o
st
A
.
a
n
d
A
ld
rich
G
.
,
“
L
o
a
d
c
o
m
p
e
n
sa
ti
n
g
DST
AT
COM
in
we
a
k
A
C
s
y
ste
m
s
,”
IEE
E
T
ra
n
s
P
o
we
r
De
li
v
,
v
o
l
.
18
,
p
p
.
1
3
0
2
–
9
,
2
0
0
3
.
[2
1
]
Ba
d
rz
a
d
e
h
B
.
a
n
d
G
u
p
ta
M
.
,
“
P
r
a
c
ti
c
a
l
e
x
p
e
rien
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n
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m
it
ig
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ti
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o
f
h
a
r
m
o
n
ics
in
w
in
d
p
o
w
e
r
p
lan
ts
,”
IEE
E
T
ra
n
s i
n
A
p
p
le
,
v
o
l.
4
9
,
p
p
.
2
2
7
9
–
89
,
2
0
1
3
.
[2
2
]
M
a
d
H
,
A.
K
.
N
.
,
e
t
a
l.
,
“
G
rid
h
a
rm
o
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ic
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e
tec
ti
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n
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sy
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m
re
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if
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v
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p
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lan
t
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p
p
li
c
a
ti
o
n
s
,”
In
d
u
stria
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tro
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c
s
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iety
,
IECON
2
0
1
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–
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n
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a
l
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o
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fer
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,
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ie
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n
a
,
p
p
.
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6
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4
–
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0
1
3
.
[2
3
]
A
.
De
n
is
R
.
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e
t
a
l.
,
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Distri
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u
t
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se
ries
/h
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ial
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a
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il
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ies
,”
2
0
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4
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ter
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ti
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a
l
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o
we
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tro
n
ics
c
o
n
fer
e
n
c
e
(
IPE
C
-
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sh
ima
2
0
1
4
–
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EA
S
IA)
,
Hiro
sh
im
a
,
p
p
.
3
2
7
0
–
7
,
2
0
1
4
.
[2
4
]
IEE
E
S
t
d
.
5
1
9
-
1
9
9
2
,
“
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c
o
m
m
e
n
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e
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p
ra
c
ti
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e
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n
d
re
q
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irem
e
n
ts
f
o
r
h
a
rm
o
n
ic
c
o
n
tro
l
in
e
lec
tri
c
p
o
w
e
r
s
y
ste
m
s
,”
IEE
E
P
re
ss
,
1
9
9
3
.
[2
5
]
S
in
g
h
B
.
,
e
t
a
l
.
,
“
Hy
b
rid
f
il
ters
fo
r
q
u
a
li
ty
i
m
p
ro
v
e
m
e
n
t
,”
Pro
c
IEE
Ge
n
re
T
ra
n
s
Di
a
trib
e
,
v
o
l.
1
5
2
,
p
p
.
3
6
5
–
78
,
2
0
0
5
.
[2
6
]
Ch
o
y
S
.
a
n
d
Ja
n
g
M
.
,
“
A
re
d
u
c
e
d
-
ra
ti
n
g
h
y
b
rid
f
il
ters
to
s
u
p
p
re
ss
n
e
u
tral
c
u
rre
n
t
h
a
rm
o
n
ics
in
th
re
e
-
p
h
a
se
f
o
u
r
-
w
ire s
y
ste
m
s
,”
IEE
E
T
ra
n
s in
E
le
c
tro
n
,
v
o
l
.
51
,
p
p
.
9
2
7
–
30
,
2
0
0
4
.
[2
7
]
Co
ra
sa
n
it
i
V
.
F
.
,
e
t
a
l.
,
“
Hy
b
rid
a
c
ti
v
e
f
il
ter
f
o
r
re
a
c
ti
v
e
a
n
d
h
a
r
m
o
n
ics
c
o
m
p
e
n
s
a
ti
o
n
in
a
d
istri
b
u
ti
o
n
n
e
tw
o
rk
,”
IEE
E
T
ra
n
s i
n
El
e
c
tro
n
,
v
o
l
.
56
,
p
p
.
6
7
0
–
7
,
2
0
0
9
.
[2
8
]
Zo
la A
.
F.
,
“
Op
ti
m
a
l
siz
in
g
o
f
th
e
p
a
ss
iv
e
f
il
ter’s
e
le
m
e
n
ts
in
h
y
b
rid
a
c
ti
v
e
f
il
ters
,”
El
e
c
tr
Po
we
r Co
mp
to
n
S
it
s
,
v
o
l.
35
,
p
p
.
4
8
3
–
8
,
2
0
0
7
.
[2
9
]
V
e
n
k
a
tes
h
C
.
,
e
t
a
l.
,
“
S
-
t
ra
n
sf
o
rm
-
b
a
s
e
d
h
y
b
rid
a
c
ti
v
e
f
il
ter
f
o
r
m
it
ig
a
ti
o
n
o
f
c
u
rre
n
t
h
a
rm
o
n
ics
,”
El
e
c
tr
Po
we
r
Co
mp
to
n
S
it
s
,
v
o
l
.
37
,
p
p
.
1
3
0
5
–
20
,
2
0
0
9
.
B
I
O
G
RAP
H
I
E
S
O
F
AUTH
O
RS
Y.
L
il
it
h
Ka
m
e
s
wa
ri
wa
s
b
o
rn
in
V
ij
a
y
a
w
a
d
a
,
In
d
ia.
S
h
e
re
c
e
i
v
e
d
th
e
Ba
tch
(El
e
c
tri
c
a
l
a
n
d
El
e
c
tro
n
ics
En
g
in
e
e
rin
g
)
d
e
g
re
e
in
V
ij
a
y
In
stit
u
te
o
f
Tec
h
n
o
lo
g
y
fo
r
W
o
m
e
n
,
JN
T
U
K,
In
d
ia
a
n
d
M
a
tch
(
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.
S
h
e
is
p
u
rsu
i
n
g
P
h
.
D
f
ro
m
Ko
n
e
ru
L
a
k
sh
m
a
iah
E
d
u
c
a
ti
o
n
F
o
u
n
d
a
ti
o
n
,
G
re
e
n
F
ield
s,
G
u
n
tu
r
District,
V
a
d
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e
sw
a
ra
m
,
a
n
d
A
n
d
h
ra
P
ra
d
e
sh
,
In
d
ia
.
He
r
a
re
a
s
o
f
in
tere
st
a
re
P
o
w
e
r
E
lec
tro
n
ics
a
n
d
P
o
w
e
r
Qu
a
li
ty
.
P
re
se
n
tl
y
sh
e
is
w
o
rk
in
g
a
s
As
si
sta
n
t
P
r
o
f
e
ss
o
r
in
EE
E
De
p
a
rt
m
e
n
t,
Re
in
stit
u
te
o
f
T
e
c
h
n
o
lo
g
y
,
Ag
iri
p
a
li
i,
a
n
d
V
ij
a
y
a
w
a
d
a
.
S
h
e
h
a
s
6
P
u
b
l
ica
ti
o
n
s
in
In
tern
a
ti
o
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.
Dr.
O.
Ch
a
n
d
ra
S
e
k
h
a
r
is
c
u
rre
n
tl
y
th
e
P
r
o
f
e
ss
o
r
a
n
d
He
a
d
o
f
EE
E
De
p
a
rtme
n
t
in
K.L
.
Un
iv
e
rsit
y
,
G
u
n
tu
r,
A
p
,
In
d
ia.
He
h
a
d
w
o
rk
e
d
in
d
if
fe
re
n
t
c
a
p
a
c
it
ies
in
tec
h
n
ica
l
in
stit
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
rs.
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o
b
tai
n
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
.
He
o
b
tain
e
d
P
h
.
D.
i
n
th
e
y
e
a
r
2
0
1
4
f
ro
m
JN
T
Un
iv
e
rsity
,
H
y
d
e
ra
b
a
d
in
th
e
a
re
a
o
f
M
o
d
u
latio
n
a
n
d
C
o
n
tr
o
l
o
f
M
u
l
ti
–
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
3
2
p
u
b
li
c
a
ti
o
n
s in
In
tern
a
ti
o
n
a
l
a
n
d
Na
ti
o
n
a
l
Jo
u
rn
a
ls/Co
n
f
e
re
n
c
e
s.
H
e
re
c
e
iv
e
d
p
re
sti
g
io
u
s
y
o
u
n
g
sc
ien
t
ist
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
r
e
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
icr
o
G
rid
s an
d
S
m
a
rt
G
rid
s.
Evaluation Warning : The document was created with Spire.PDF for Python.