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g
h
an
d
m
ak
e
i
t
co
m
p
u
l
s
o
r
y
t
o
en
s
u
r
e
th
at
th
e
w
i
n
d
f
ar
m
s
d
o
n
o
t
b
ec
o
m
e
u
n
s
tab
le
an
d
g
et
d
is
co
n
n
ec
ted
ev
e
n
w
h
en
t
h
e
v
o
ltag
e
d
ip
s
to
a
v
er
y
lo
w
v
a
lu
e.
T
h
is
v
o
lta
g
e
in
s
tab
ilit
y
i
s
s
u
e
ca
n
b
e
r
eso
lv
ed
b
y
e
m
p
l
o
y
i
n
g
f
lex
ib
le
A
C
tr
an
s
m
i
s
s
io
n
s
y
s
te
m
(
FAC
T
S)
co
m
p
e
n
s
ato
r
s
li
k
e
s
tatic
s
y
n
c
h
r
o
n
o
u
s
co
m
p
e
n
s
a
to
r
s
(
ST
A
T
C
OM
)
,
w
h
ic
h
p
r
o
v
id
e
tr
an
s
ie
n
t
an
d
s
tead
y
-
s
tate
v
o
lta
g
e
s
u
p
p
o
r
t
at
th
e
p
o
in
t
o
f
co
m
m
o
n
co
u
p
li
n
g
(
P
C
C
)
b
y
m
ea
n
s
o
f
d
y
n
a
m
ic
r
ea
cti
v
e
p
o
w
er
in
j
ec
tio
n
.
I
n
s
p
ite
o
f
t
h
e
h
u
g
e
ex
p
en
s
es
in
v
o
l
v
ed
,
th
e
ST
A
T
C
OM
i
s
p
r
ef
er
r
ed
o
v
er
s
o
m
e
o
th
er
F
AC
T
S
d
ev
ices
d
u
e
to
its
s
u
p
er
io
r
p
er
f
o
r
m
a
n
ce
a
n
d
f
lex
ib
ilit
y
.
T
h
e
r
ea
ctiv
e
p
o
w
er
s
u
p
p
o
r
t
o
f
f
er
ed
b
y
t
h
e
ST
A
T
C
OM
at
lo
w
er
v
o
ltag
e
s
is
g
r
ea
ter
th
a
n
th
a
t
o
f
f
er
ed
b
y
SV
C
.
A
ls
o
,
th
e
r
esp
o
n
s
e
o
f
SVC
is
s
lo
w
co
m
p
ar
ed
to
ST
A
T
C
OM
d
u
e
to
f
ir
in
g
d
ela
y
s
ass
o
ciate
d
w
it
h
SV
C
.
R
esear
c
h
atte
m
p
t
s
h
av
e
b
ee
n
d
ir
ec
ted
to
w
ar
d
s
t
h
e
r
ea
l
ti
m
e
u
tili
za
tio
n
o
f
ST
A
T
C
OM
to
m
ai
n
t
ain
v
o
lta
g
e
s
tab
ilit
y
in
a
wea
k
p
o
w
er
s
y
s
te
m
co
n
n
ec
ted
to
DFI
G
-
b
ased
w
in
d
f
ar
m
[
4
]
,
[
5
]
.
T
h
e
r
o
le
o
f
FAC
T
S
d
ev
ices
i
n
en
h
an
c
in
g
t
h
e
s
tab
ilit
y
o
f
g
r
id
-
co
n
n
ec
ted
w
i
n
d
p
o
w
er
s
y
s
te
m
s
h
a
s
b
ee
n
e
n
u
m
er
ated
in
d
eta
il
[
6
]
.
Fu
zz
y
lo
g
ic
a
n
d
A
N
FIS
-
b
ased
co
n
tr
o
l
f
o
r
th
e
ST
A
T
C
OM
in
a
g
r
id
-
co
n
n
ec
ted
P
MSG
-
b
a
s
ed
w
i
n
d
p
o
w
er
s
y
s
te
m
w
as
p
r
o
p
o
s
ed
[
7
]
.
A
n
L
u
o
,
et
al
s
u
g
g
e
s
ted
a
f
u
zz
y
-
P
I
i
n
d
ep
en
d
en
t
co
n
tr
o
l
tec
h
n
iq
u
e
f
o
r
ST
A
T
C
OM
i
n
d
is
tr
ib
u
ti
o
n
n
et
wo
r
k
s
[
8
]
.
Fu
zz
y
lo
g
i
c
m
a
y
b
e
m
e
m
o
r
y
-
i
n
te
n
s
iv
e
a
n
d
m
a
y
lead
to
s
o
f
t
w
ar
e
o
v
er
l
o
ad
,
p
a
r
ticu
lar
l
y
i
n
les
s
co
m
p
licated
ap
p
licatio
n
s
,
o
w
i
n
g
to
t
h
e
u
s
e
o
f
m
a
n
y
l
o
ca
lized
p
ar
am
eter
s
.
P
ar
ticle
s
w
ar
m
o
p
ti
m
izatio
n
(
P
SO)
is
ac
o
m
p
u
tatio
n
all
y
ef
f
icien
t
s
w
ar
m
in
te
llig
e
n
ce
b
ased
o
p
tim
izatio
n
tec
h
n
iq
u
e
w
h
ic
h
in
v
o
lv
e
s
co
g
n
iti
v
e
an
d
s
o
cial
in
ter
ac
tio
n
s
an
d
h
a
s
o
f
te
n
d
e
m
o
n
s
tr
ated
f
a
s
t
r
esp
o
n
s
e
a
n
d
i
m
p
r
o
v
e
d
p
er
f
o
r
m
an
ce
co
m
p
ar
ed
to
f
u
zz
y
co
n
tr
o
ller
s
.
P
r
ev
io
u
s
l
y
,
r
esear
ch
w
o
r
k
h
a
s
b
ee
n
d
o
n
e
i
n
t
h
e
f
ie
ld
o
f
P
SO
-
co
n
tr
o
lled
S
T
A
T
C
OM
a
n
d
i
n
th
e
ar
ea
o
f
DFI
G
-
b
ased
w
i
n
d
f
ar
m
s
s
ep
ar
atel
y
.
Ho
w
ev
er
,
t
h
is
i
s
a
n
o
v
el
att
e
m
p
t
to
in
te
g
r
ate
P
SO
-
co
n
tr
o
lled
ST
A
T
C
OM
in
DFI
G
-
b
ased
g
r
id
-
co
n
n
ec
ted
w
i
n
d
p
o
w
er
s
y
s
te
m
s
.
C
h
ie
n
-
Hu
n
g
L
i
u
,
et
al
p
r
o
p
o
s
ed
a
f
l
ex
ib
le
co
n
tr
o
ller
f
o
r
ST
A
T
C
OM
u
s
i
n
g
P
SO,
u
s
i
n
g
in
te
g
r
al
ab
s
o
lu
te
er
r
o
r
(
I
A
E
)
a
s
th
e
ev
al
u
atio
n
cr
iter
io
n
[
9
]
.
Ho
w
e
v
er
,
alth
o
u
g
h
m
i
n
i
m
izatio
n
p
r
o
b
le
m
s
e
m
p
l
o
y
i
n
g
I
A
E
as
t
h
e
o
b
j
ec
tiv
e
f
u
n
ct
io
n
p
r
o
d
u
ce
a
lo
w
o
v
er
s
h
o
o
t
r
esp
o
n
s
e,
t
h
e
y
s
u
f
f
er
f
r
o
m
t
h
e
d
r
a
w
b
ac
k
o
f
ex
ce
s
s
iv
el
y
lo
n
g
s
ettli
n
g
ti
m
e
s
.
T
h
er
ef
o
r
e
,
in
th
i
s
w
o
r
k
,
a
d
if
f
er
e
n
t
ev
a
lu
at
io
n
cr
iter
io
n
w
a
s
u
s
ed
in
t
h
e
P
SO p
r
o
g
r
am
u
s
ed
to
co
n
tr
o
l th
e
S
T
A
T
C
OM
.
I
n
th
i
s
w
o
r
k
,
ST
A
T
C
OM
w
as
e
m
p
lo
y
ed
f
o
r
p
r
o
v
id
in
g
v
o
lta
g
e
co
m
p
e
n
s
atio
n
at
t
h
e
P
C
C
i
n
a
DFI
G
-
b
ased
g
r
id
-
co
n
n
ec
ted
w
i
n
d
p
o
w
er
s
y
s
te
m
i
n
f
i
v
e
test
ca
s
es,
n
a
m
el
y
,
s
tep
ch
a
n
g
e
(
d
r
o
p
)
in
w
i
n
d
s
p
ee
d
s
i
m
u
lta
n
eo
u
s
l
y
ac
co
m
p
a
n
ied
b
y
a
d
ip
i
n
g
r
id
v
o
lta
g
e,
s
i
n
g
l
e
lin
e
to
g
r
o
u
n
d
(
S
L
G)
,
li
n
e
t
o
lin
e
(
L
L
)
,
d
o
u
b
le
lin
e
to
g
r
o
u
n
d
(
DL
G)
f
a
u
lt
s
an
d
s
u
d
d
en
lo
ad
in
cr
e
m
e
n
t.
T
h
e
S
T
A
T
C
OM
w
as
co
n
tr
o
ll
ed
u
s
in
g
th
r
ee
s
o
f
t
co
m
p
u
ti
n
g
tec
h
n
iq
u
es,
n
a
m
el
y
,
f
u
zz
y
lo
g
ic
(
r
esear
c
h
m
et
h
o
d
1
)
,
P
SO
(
r
esear
ch
m
e
th
o
d
2
)
an
d
a
co
m
b
in
a
tio
n
o
f
b
o
th
f
u
zz
y
lo
g
ic
a
n
d
P
SO
(
r
esear
ch
m
e
th
o
d
3
)
.
I
n
th
e
t
h
i
r
d
m
et
h
o
d
o
lo
g
y
,
b
o
th
f
u
zz
y
l
o
g
ic
an
d
P
SO
w
er
e
u
s
ed
to
t
u
n
e
t
h
e
P
I
co
n
tr
o
ller
g
ai
n
s
in
th
e
ST
A
T
C
OM
v
o
l
t
ag
e
s
u
p
er
v
i
s
o
r
.
T
h
is
m
e
th
o
d
o
lo
g
y
,
ca
l
led
f
u
zz
y
P
SO
-
P
I
tech
n
iq
u
e,
is
a
n
o
v
el
ST
A
T
C
OM
co
n
tr
o
l te
c
h
n
iq
u
e.
A
ls
o
,
i
t
h
as
b
ee
n
u
s
ed
i
n
w
i
n
d
p
o
w
er
f
o
r
th
e
f
ir
s
t
ti
m
e.
A
p
er
f
o
r
m
a
n
ce
co
m
p
ar
is
o
n
w
as
d
o
n
e
a
m
o
n
g
t
h
e
th
r
e
e
ar
tif
icial
in
telli
g
en
ce
b
ased
tech
n
iq
u
es
u
s
ed
to
co
n
tr
o
l
th
e
ST
A
T
C
OM
i
n
ter
m
s
o
f
t
h
e
a
m
o
u
n
t
o
f
v
o
ltag
e
c
o
m
p
e
n
s
at
io
n
o
f
f
er
ed
at
t
h
e
P
C
C
i
n
all
t
h
e
f
i
v
e
te
s
t
ca
s
es.
T
h
e
u
n
iq
u
en
e
s
s
o
f
t
h
i
s
r
esear
ch
e
n
d
ea
v
o
u
r
i
s
al
s
o
h
ig
h
li
g
h
ted
in
t
w
o
n
o
v
el
test
ca
s
es
w
h
ich
h
a
v
e
b
ee
n
co
n
s
id
er
ed
h
er
e,
n
a
m
el
y
,
o
cc
u
r
r
en
ce
o
f
s
tep
c
h
an
g
e
(
d
r
o
p
)
in
w
i
n
d
s
p
ee
d
an
d
g
r
id
v
o
lta
g
e
d
ip
at
t
h
e
s
a
m
e
in
s
ta
n
t a
n
d
ab
r
u
p
t v
ar
iatio
n
i
n
lo
ad
b
y
m
o
r
e
th
a
n
a
t
h
o
u
s
a
n
d
ti
m
e
s
.
2.
M
AT
H
E
M
AT
I
CAL M
O
DE
L
L
I
N
G
O
F
WI
ND
T
URB
I
N
E
AND
DF
I
G
T
h
e
n
et
m
ec
h
an
ical
p
o
w
er
o
b
tain
ed
f
r
o
m
a
w
i
n
d
tu
r
b
i
n
e
P
extracted
is
g
i
v
e
n
b
y
E
q
u
atio
n
(
1
)
:
(
1
)
I
n
E
q
u
atio
n
(
1
)
,
,
R
,
V
wind
an
d
d
en
o
te
th
e
air
d
en
s
it
y
,
tu
r
b
in
e
b
lad
e
r
ad
iu
s
,
w
in
d
v
elo
cit
y
a
n
d
p
o
w
er
co
ef
f
icie
n
t
o
f
w
i
n
d
tu
r
b
i
n
e
r
esp
ec
tiv
el
y
.
I
t is seen
t
h
at:
(
)
(
)
(
2
)
I
n
E
q
u
atio
n
(
2
)
,
is
th
e
tip
s
p
e
ed
r
atio
o
f
th
e
w
i
n
d
tu
r
b
i
n
e
wh
ich
i
s
g
iv
e
n
b
y
:
I
f
γ
=
(
1
/3
)
in
E
q
u
atio
n
(
2
)
,
th
e
v
alu
e
o
f
p
o
w
er
co
ef
f
ici
en
t
is
th
e
m
a
x
i
m
u
m
a
n
d
th
e
m
ax
i
m
u
m
v
al
u
e
i
s
eq
u
a
l
to
(
1
6
/
2
7
)
=
0
.
5
9
.
T
h
is
v
alid
ates
t
h
e
B
etz‟
p
r
in
c
ip
le
w
h
ich
s
ta
tes
th
at
a
m
ax
i
m
u
m
o
f
5
9
.
3
%
o
f
th
e
to
tal
k
in
et
ic
en
er
g
y
p
o
s
s
ess
ed
b
y
w
i
n
d
is
co
n
v
er
ted
in
to
m
ec
h
an
ical
en
er
g
y
[
1
0
]
.
T
h
e
s
ch
e
m
a
tic
r
ep
r
esen
tatio
n
o
f
a
w
i
n
d
en
er
g
y
co
n
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n
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is
s
h
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w
n
i
n
Fi
g
u
r
e
1
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
J
E
C
E
Vo
l.
7
,
No
.
2
,
A
p
r
il
2
0
1
7
:
6
6
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–
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669
Fig
u
r
e
1
.
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atic
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ter
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Sid
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ter
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S
C
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a
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id
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GSC
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Su
p
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lated
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o
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e
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y
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e
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h
e
DFI
G
E
q
u
atio
n
s
in
t
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e
d
q
r
e
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er
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ce
f
r
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m
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tat
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es
E
sd
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-
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s
)
an
d
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s
q
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ax
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an
d
th
e
r
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v
o
ltag
es E
rd
(d
-
a
x
is
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a
n
d
E
rq
(q
-
ax
is
)
ar
e
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tated
in
E
q
u
atio
n
s
(
3
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–
(
6
)
as f
o
llo
w
s
[
1
1
]
:
(
3
)
(
4
)
(
)
(
5
)
(
)
(
6
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I
n
E
q
u
atio
n
s
(
3
)
-
(
6
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,
I
sd
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I
sq
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rd
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I
rq
,
R
s,
R
r
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λ
sd
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sq
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rq
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r
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en
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r
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d
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f
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in
k
a
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l
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ag
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d
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x
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in
k
a
g
e
,
q
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ax
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s
r
o
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r
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l
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x
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k
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r
o
tatio
n
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p
ee
d
o
f
d
q
r
ef
er
en
ce
f
r
a
m
e
an
d
elec
tr
i
ca
l
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g
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lar
s
p
ee
d
o
f
t
h
e
r
o
t
o
r
r
esp
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y
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h
e
E
q
u
atio
n
r
elati
n
g
t
h
e
m
ec
h
a
n
ical
r
o
tatio
n
s
p
ee
d
o
f
th
e
DF
I
G
ω
m
ech
a
n
d
elec
tr
ical
an
g
u
la
r
s
p
ee
d
ω
r
is
g
iv
e
n
by
(
)
T
h
e
ex
p
r
ess
io
n
f
o
r
t
h
e
elec
tr
o
m
ag
n
etic
to
r
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u
e
d
ev
elo
p
ed
T
d
ev
elope
d
is
g
iv
e
n
i
n
E
q
u
atio
n
(
7
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:
(
)
(
7
)
T
h
e
r
elatio
n
s
h
ip
b
et
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n
t
h
e
m
ec
h
a
n
ical
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n
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ee
d
o
f
t
h
e
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G
ω
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ech
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d
ev
elo
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ed
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tr
o
m
ag
n
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e
T
dev
elop
ed
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d
th
e
m
ec
h
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n
ical
to
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e
a
p
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lie
d
T
ex
is
s
tated
in
E
q
u
atio
n
(
8
)
:
(
8
)
I
n
E
q
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atio
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(
8
)
,
J
is
th
e
co
m
b
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ed
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o
lar
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o
m
en
t
o
f
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o
f
th
e
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G
an
d
p
r
im
e
m
o
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er
w
it
h
r
ef
er
en
ce
to
th
e
s
h
a
f
t o
f
t
h
e
m
ac
h
in
e.
3.
ST
A
T
CO
M
AND
I
T
S CO
N
T
RO
L
S
YST
E
M
I
n
th
e
ST
A
T
C
O
M
eq
u
iv
ale
n
t
cir
cu
it
i
n
Fi
g
u
r
e
2
,
th
e
co
n
v
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t
er
lo
s
s
es
ar
e
ac
co
u
n
ted
f
o
r
b
y
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dc,
V
dc
is
th
e
v
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ltag
e
ac
r
o
s
s
D
C
ca
p
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cito
r
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dc
,
R
s
an
d
L
s
d
en
o
te
th
e
r
e
s
is
ta
n
ce
a
n
d
i
n
d
u
cta
n
ce
o
f
t
h
e
co
u
p
li
n
g
tr
an
s
f
o
r
m
er
r
esp
ec
tiv
el
y
,
V
an
d
Ө
s
tan
d
f
o
r
th
e
m
a
g
n
i
tu
d
e
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d
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h
ase
an
g
le
o
f
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A
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v
o
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r
esp
ec
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el
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i
s
th
e
m
o
d
u
lat
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an
d
th
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p
h
a
s
e
s
h
i
f
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i
s
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an
d
t
h
e
ST
A
T
C
OM
cu
r
r
e
n
ts
i
n
d
q
r
ef
er
en
ce
f
r
a
m
e
ar
e
I
d
an
d
I
q
[
1
2
]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
C
E
I
SS
N:
2
0
8
8
-
8708
V
o
lta
g
e
C
o
mp
en
s
a
tio
n
in
W
in
d
P
o
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er S
ystem
u
s
in
g
S
TATC
OM Co
n
tr
o
lled
b
y
…
(
B
in
ee
ta
Mu
kh
o
p
a
d
h
ya
y
)
670
Fig
u
r
e
2
.
ST
A
T
C
OM
E
q
u
iv
al
en
t Ci
r
c
u
it
I
n
th
e
d
q
r
ef
er
en
ce
f
r
a
m
e,
t
h
e
s
tate
E
q
u
atio
n
o
f
th
e
ST
A
T
C
OM
is
g
i
v
e
n
b
y
E
q
u
atio
n
(
9
)
:
(
)
(
9
)
I
n
E
q
u
atio
n
(
9
)
,
(
)
an
d
(
)
I
n
th
e
o
v
er
all
b
lo
c
k
s
c
h
e
m
at
ic
r
ep
r
esen
tatio
n
o
f
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h
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A
T
C
OM
co
n
tr
o
l s
y
s
te
m
is
s
h
o
w
n
i
n
Fi
g
u
r
e
3
,
th
e
p
h
ase
lo
ck
ed
lo
o
p
p
r
o
v
id
e
s
th
e
an
g
le
φ
f
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th
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co
m
p
u
tat
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f
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-
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d
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d
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g
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ller
g
e
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ate
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r
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t
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f
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d
R
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_
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D
r
e
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el
y
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h
e
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r
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en
t
r
eg
u
lato
r
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p
er
ates
o
n
th
e
er
r
o
r
b
et
w
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n
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d
ac
t
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al
q
-
a
x
is
(
r
ea
ctiv
e)
c
u
r
r
en
ts
[
1
3
]
.
T
h
e
f
r
eq
u
en
c
y
r
e
g
u
lato
r
ac
ts
o
n
t
h
e
d
i
f
f
er
e
n
ce
b
et
w
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n
th
e
s
ta
n
d
ar
d
g
r
id
f
r
eq
u
en
c
y
an
d
t
h
e
DFI
G
f
r
eq
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en
c
y
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n
d
p
r
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id
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Δ
R
e
f
_
I
Q
,
w
h
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h
is
ad
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ed
to
R
ef
_
I
Q
g
e
n
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ated
b
y
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e
v
o
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g
e
r
eg
u
lato
r
to
g
et
th
e
f
i
n
al
v
a
lu
e
o
f
r
ef
er
e
n
ce
r
ea
ctiv
e
c
u
r
r
en
t
R
e
f
_
I
Q
(
f
)
.
Fig
u
r
e
3
.
Ov
er
all
B
lo
ck
Diag
r
a
m
o
f
ST
A
T
C
OM
C
o
n
tr
o
l S
y
s
te
m
4.
RE
S
E
ARCH
M
E
T
H
O
D
1
:
ST
AT
CO
M
CO
NT
RO
L
L
E
D
B
Y
F
U
Z
Z
Y
L
O
G
I
C
T
h
e
ST
A
T
C
OM
p
er
f
o
r
m
a
n
ce
w
as
e
n
h
an
ce
d
b
y
i
n
cl
u
d
in
g
f
u
zz
y
lo
g
ic
co
n
tr
o
ller
s
in
t
h
e
v
o
ltag
e
,
cu
r
r
en
t
a
n
d
f
r
eq
u
e
n
c
y
r
eg
u
l
ato
r
b
lo
ck
s
o
f
t
h
e
ST
A
T
C
OM
co
n
tr
o
l
s
y
s
te
m
.
Ma
m
d
a
n
i
f
u
zz
y
i
n
f
er
e
n
ce
tech
n
iq
u
e
w
as
u
s
ed
a
n
d
t
h
e
f
u
zz
y
o
u
tp
u
ts
w
er
e
d
ef
u
zz
i
f
ied
u
s
in
g
C
e
n
tr
e
o
f
A
r
ea
(
C
O
A
)
d
ef
u
zz
if
icatio
n
.
I
n
th
e
v
o
ltag
e
an
d
c
u
r
r
en
t
r
e
g
u
la
to
r
s
,
f
u
zz
y
lo
g
ic
w
a
s
u
s
ed
to
tu
n
e
t
h
e
p
r
o
p
o
r
tio
n
al
an
d
in
te
g
r
al
g
a
in
co
n
s
ta
n
t
s
o
f
P
I
co
n
tr
o
ller
s
;
h
en
ce
th
i
s
c
o
n
tr
o
l
m
et
h
o
d
o
lo
g
y
w
a
s
ter
m
ed
f
u
zz
y
-
P
I
tech
n
iq
u
e.
I
n
t
h
e
ST
A
T
C
OM
cu
r
r
en
t
an
d
v
o
lta
g
e
s
u
p
er
v
i
s
o
r
s
,
th
e
i
n
cr
e
m
e
n
ts
in
th
e
P
I
co
n
tr
o
ller
g
ai
n
s
o
b
tai
n
ed
f
r
o
m
f
u
zz
y
lo
g
ic
co
n
tr
o
ller
,
ΔK
PR
(
f
u
zz
y
)
a
n
d
ΔK
IN
(
f
u
zz
y
)
,
w
er
e
s
u
m
m
ed
u
p
w
i
th
t
h
e
o
r
ig
in
al
g
ai
n
co
n
s
ta
n
t
s
o
f
t
h
e
e
x
i
s
ti
n
g
P
I
co
n
tr
o
ller
s
,
K
PR
(
P
I
)
an
d
K
IN
(
P
I
)
,
to
g
et
th
e
f
i
n
al
t
u
n
ed
P
I
co
n
tr
o
ller
g
ain
s
,
K
PR
(
tu
n
ed
)
an
d
K
IN
(
tu
n
ed
)
,
as
s
h
o
w
n
i
n
E
q
u
atio
n
s
(
1
0
)
an
d
(
11
):
K
PR
(
tu
n
ed
)
=
K
PR
(
P
I
)
+
ΔK
PR
(
f
u
zz
y
)
(
1
0
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
J
E
C
E
Vo
l.
7
,
No
.
2
,
A
p
r
il
2
0
1
7
:
6
6
7
–
680
671
K
I
N
(
tu
n
ed
)
=
K
IN
(
P
I
)
+
ΔK
IN
(
f
u
zz
y
)
(
1
1
)
T
h
e
s
ch
e
m
atic
d
iag
r
a
m
o
f
th
e
ST
A
T
C
OM
v
o
ltag
e
r
eg
u
lato
r
s
u
p
er
v
is
ed
u
s
i
n
g
f
u
zz
y
-
P
I
tech
n
iq
u
e
i
s
s
h
o
w
n
in
Fi
g
u
r
e
4
.
I
n
th
e
f
u
zz
y
-
P
I
r
eg
u
lated
ST
A
T
C
OM
v
o
ltag
e
s
u
p
er
v
i
s
o
r
,
th
e
d
if
f
e
r
en
ce
b
et
w
ee
n
th
e
r
ef
er
en
ce
v
o
lta
g
e
(
R
e
f
_
Vo
lta
g
e)
an
d
th
e
m
ea
s
u
r
ed
(
ac
tu
al)
v
alu
e
o
f
v
o
ltag
e
(
Me
as_
Vo
ltag
e)
,
w
h
ic
h
is
r
ep
r
esen
ted
b
y
v
err
,
a
n
d
th
e
f
ir
s
t
d
er
iv
ati
v
e
o
f
t
h
is
d
ev
iatio
n
dv
err
/d
t
w
er
e
f
ed
a
s
i
n
p
u
t
s
to
th
e
f
u
zz
y
s
y
s
te
m
.
T
h
e
f
u
zz
y
co
n
tr
o
ller
p
r
o
v
id
ed
th
e
r
eq
u
ir
ed
ch
a
n
g
es
i
n
co
n
tr
o
ller
g
ain
s
,
ΔK
PR
(
f
u
zz
y
)
a
n
d
ΔK
IN
(
f
u
zz
y
)
.
T
h
e
n
e
w
P
I
co
n
tr
o
ller
w
it
h
m
o
d
i
f
i
ed
p
r
o
p
o
r
tio
n
al
an
d
in
teg
r
al
g
ain
co
n
s
t
an
t
s
,
K
PR
(
tu
n
ed
)
an
d
K
I
N
(
tu
n
ed
)
,
w
as
u
s
ed
to
co
n
tr
o
l t
h
e
ST
A
T
C
O
M
v
o
ltag
e
s
u
p
er
v
is
o
r
.
T
h
e
r
ef
er
en
ce
r
ea
ctiv
e
c
u
r
r
en
t
R
e
f
_
I
Q
w
a
s
p
r
o
v
id
ed
b
y
th
e
ST
A
T
C
OM
v
o
ltag
e
r
eg
u
lato
r
.
T
h
e
s
lo
p
e
o
f
th
e
ST
A
T
C
OM
V
-
I
ch
ar
ac
ter
is
tic
s
w
h
e
n
it
o
p
er
ates
in
v
o
ltag
e
r
eg
u
lat
io
n
m
o
d
e
is
ca
lled
d
r
o
o
p
.
Fig
u
r
e
4
.
B
lo
ck
Sch
e
m
at
ic
o
f
ST
A
T
C
OM
Vo
ltag
e
S
u
p
er
v
is
o
r
R
eg
u
lated
U
s
in
g
F
u
zz
y
-
P
I
T
ec
h
n
iq
u
e
I
n
th
e
f
u
zz
y
-
P
I
r
eg
u
lated
S
T
A
T
C
OM
cu
r
r
en
t
s
u
p
er
v
i
s
o
r
,
th
e
d
if
f
er
en
ce
b
et
w
ee
n
t
h
e
r
ef
er
en
ce
r
ea
ctiv
e
cu
r
r
e
n
t
(
R
e
f
_
I
Q
)
an
d
t
h
e
m
ea
s
u
r
ed
(
ac
tu
al)
v
a
lu
e
o
f
r
ea
ctiv
e
cu
r
r
e
n
t
(
Me
as_
I
Q
)
,
wh
ich
is
r
ep
r
ese
n
ted
b
y
i
err
,
an
d
t
h
e
f
ir
s
t
d
er
iv
ati
v
e
o
f
t
h
is
d
e
v
iatio
n
d
i
err
/d
t
w
e
r
e
f
ed
as
i
n
p
u
t
s
to
t
h
e
f
u
zz
y
s
y
s
te
m
.
T
h
e
f
u
zz
y
co
n
tr
o
ller
p
r
o
v
id
ed
th
e
r
eq
u
ir
ed
ch
an
g
e
s
i
n
co
n
tr
o
ller
g
ai
n
s
,
ΔK
PR
(
f
u
zz
y
)
a
n
d
ΔK
IN
(
f
u
zz
y
)
.
T
h
e
n
e
w
P
I
co
n
tr
o
ller
w
it
h
m
o
d
if
ied
p
r
o
p
o
r
tio
n
al
an
d
in
teg
r
al
g
ain
co
n
s
tan
t
s
,
K
PR
(
t
u
n
ed
)
an
d
K
I
N
(
t
u
n
ed
)
,
w
a
s
u
s
ed
to
co
n
tr
o
l
th
e
ST
A
T
C
OM
c
u
r
r
en
t
s
u
p
er
v
i
s
o
r
.
T
h
e
an
g
u
lar
s
h
i
f
t
b
et
w
ee
n
t
h
e
A
C
b
u
s
v
o
lta
g
e
an
d
th
e
v
o
lta
g
e
o
f
th
e
co
n
v
er
ter
,
alp
h
a,
w
a
s
p
r
o
v
id
ed
b
y
th
e
ST
A
T
C
OM
cu
r
r
en
t r
eg
u
lato
r
.
T
h
e
r
u
les
ap
p
lied
to
o
b
tain
ΔK
PR
(
f
u
zz
y
)
a
n
d
ΔK
IN
(
f
u
zz
y
)
in
t
h
e
f
u
zz
y
s
y
s
te
m
s
i
n
b
o
th
t
h
e
v
o
ltag
e
an
d
cu
r
r
en
t
s
u
p
er
v
i
s
o
r
s
ar
e
p
r
esen
ted
i
n
T
ab
le
1
an
d
T
ab
le
2
r
esp
ec
tiv
el
y
.
I
n
t
h
e
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
s
an
d
r
u
le
tab
les,
n
v
b
,
n
b
,
z,
p
b
an
d
p
v
b
s
tan
d
f
o
r
“n
eg
a
tiv
e
v
er
y
b
ig
”,
“
n
e
g
ati
v
e
b
ig
”,
“
ze
r
o
”,
“
p
o
s
iti
v
e
b
ig
”
a
n
d
“
p
o
s
iti
v
e
v
er
y
b
i
g
”
r
esp
ec
tiv
el
y
.
I
f
er
r
o
r
an
d
its
f
ir
s
t
d
er
i
v
ati
v
e
ar
e
o
f
g
r
ea
ter
m
a
g
n
it
u
d
es,
ΔK
PR
is
also
g
r
ea
ter
.
B
y
m
a
k
in
g
ΔK
IN
ze
r
o
in
c
ase
o
f
v
er
y
lar
g
e
m
a
g
n
it
u
d
es
o
f
er
r
o
r
an
d
its
d
er
iv
ativ
e,
co
n
tr
o
l
s
atu
r
atio
n
ca
n
b
e
av
o
id
ed
.
Stead
y
s
tate
er
r
o
r
ca
n
b
e
ce
r
tain
ly
d
i
m
i
n
is
h
ed
if
t
h
e
v
a
lu
e
s
o
f
ΔK
IN
co
r
r
esp
o
n
d
in
g
to
s
m
a
ll
v
alu
e
s
o
f
er
r
o
r
ar
e
lar
g
e
[
1
4
]
.
T
ab
le
1
.
Fu
zz
y
R
u
le
B
ase
f
o
r
Δ
K
P
R
: V
o
lta
g
e
an
d
C
u
r
r
en
t
Su
p
er
v
is
o
r
s
in
ST
A
T
C
OM
C
o
n
tr
o
ller
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
C
E
I
SS
N:
2
0
8
8
-
8708
V
o
lta
g
e
C
o
mp
en
s
a
tio
n
in
W
in
d
P
o
w
er S
ystem
u
s
in
g
S
TATC
OM Co
n
tr
o
lled
b
y
…
(
B
in
ee
ta
Mu
kh
o
p
a
d
h
ya
y
)
672
T
ab
le
2
.
Fu
zz
y
R
u
le
B
ase
f
o
r
Δ
K
I
N
:
Vo
lta
g
e
an
d
C
u
r
r
en
t
Su
p
er
v
is
o
r
s
in
ST
A
T
C
OM
C
o
n
tr
o
ller
T
h
e
d
if
f
er
en
ce
b
et
w
ee
n
th
e
g
r
id
(
r
ef
er
en
ce
)
f
r
eq
u
en
c
y
an
d
th
e
f
r
eq
u
e
n
c
y
o
f
t
h
e
DFI
G,
f
err
,
an
d
its
f
ir
s
t
d
er
iv
ati
v
e,
df
err
/d
t
,
w
er
e
p
r
o
v
id
ed
as
in
p
u
ts
to
th
e
S
T
A
T
C
OM
f
r
eq
u
en
c
y
r
e
g
u
la
t
o
r
.
T
h
e
ch
an
g
e
in
ST
A
T
C
OM
r
ef
er
en
ce
r
ea
ctiv
e
cu
r
r
en
t,
Δ
R
ef
_
I
Q
,
w
as
p
r
o
v
i
d
ed
as
o
u
tp
u
t
b
y
th
e
f
u
zz
y
s
u
p
er
v
is
ed
f
r
eq
u
e
n
c
y
r
eg
u
lato
r
.
T
h
is
ch
an
g
e
in
ST
A
T
C
OM
r
ef
er
en
c
e
r
ea
cti
v
e
cu
r
r
en
t,
Δ
R
ef
_
I
Q
,
w
a
s
ad
d
ed
to
R
ef
_
I
Q
p
r
o
v
id
ed
b
y
th
e
v
o
lta
g
e
r
eg
u
lato
r
to
o
b
tain
th
e
f
i
n
al
v
al
u
e
o
f
th
e
ST
A
T
C
OM
r
ef
er
en
ce
r
ea
cti
v
e
cu
r
r
en
t
.
T
h
e
r
u
les
ap
p
lied
to
o
b
tain
Δ
R
ef
_
I
Q
in
t
h
e
f
u
zz
y
s
y
s
te
m
in
th
e
f
r
eq
u
en
c
y
co
n
tr
o
ller
ar
e
d
is
p
la
y
ed
i
n
T
ab
le
3
.
L
ar
g
e
m
a
g
n
itu
d
es
o
f
f
as
t
r
is
i
n
g
f
r
eq
u
e
n
c
y
d
e
v
i
atio
n
d
e
m
a
n
d
a
g
r
ea
ter
a
m
o
u
n
t
o
f
ST
A
T
C
OM
ca
p
ac
itiv
e
c
u
r
r
en
t
s
i
n
ce
th
e
el
ec
tr
ical
o
u
tp
u
t
o
f
t
h
e
al
ter
n
at
o
r
s
f
all
s
b
elo
w
th
e
m
ec
h
a
n
ica
l
in
p
u
t
s
u
p
p
lied
to
th
e
m
.
I
n
s
u
c
h
s
it
u
atio
n
s
,
th
e
t
r
an
s
ie
n
t
s
tab
ilit
y
o
f
t
h
e
lin
e
i
m
p
r
o
v
es
w
h
e
n
t
h
e
ST
A
T
C
OM
s
u
p
p
lies
a
g
r
ea
ter
m
ag
n
it
u
d
e
o
f
ca
p
ac
iti
v
e
c
u
r
r
en
t si
n
ce
m
o
r
e
p
o
w
er
is
tr
an
s
f
e
r
r
ed
to
th
e
r
ec
eiv
in
g
e
n
d
.
I
t
w
as th
er
e
f
o
r
e
in
f
er
r
ed
th
at
th
e
ST
A
T
C
OM
c
u
r
r
en
t
m
u
s
t
b
e
p
o
s
itiv
e
lar
g
e
(
m
o
d
e
o
f
o
p
er
atio
n
m
u
s
t
b
e
ca
p
ac
itiv
e)
w
h
e
n
f
err
a
n
d
df
err
/d
t
ar
e
p
o
s
itiv
e
lar
g
e
[
1
5
]
.
T
ab
le
3
.
Fu
zz
y
R
u
le
B
ase
f
o
r
R
ef
_
I
Q
: Fr
eq
u
e
n
c
y
R
e
g
u
lato
r
in
ST
A
T
C
OM
C
o
n
tr
o
ller
5.
RE
S
E
ARCH
M
E
T
H
O
D
2
:
ST
AT
CO
M
CO
NT
RO
L
L
E
D
B
Y
P
SO
P
SO
w
as
h
ar
n
es
s
ed
to
ad
j
u
s
t
th
e
P
I
co
n
tr
o
ller
g
ain
s
in
t
h
e
S
T
A
T
C
OM
v
o
ltag
e
s
u
p
er
v
is
o
r
,
th
er
ef
o
r
e
th
is
co
n
tr
o
l
m
eth
o
d
o
lo
g
y
w
a
s
ter
m
ed
P
SO
-
P
I
tech
n
iq
u
e.
T
h
e
o
p
ti
m
ized
P
I
co
n
tr
o
ller
g
ai
n
s
p
r
o
v
id
ed
b
y
th
e
P
SO
p
r
o
g
r
a
m
,
K
PR
(
opt
)
an
d
K
I
N
(
opt
)
,
w
er
e
u
s
ed
i
n
t
h
e
P
S
O
-
P
I
co
n
tr
o
lled
ST
A
T
C
OM
v
o
ltag
e
s
u
p
er
v
i
s
o
r
,
as
s
h
o
w
n
i
n
F
ig
u
r
e
5
.
A
s
s
tated
e
ar
lier
,
th
e
v
o
ltag
e
r
eg
u
lato
r
p
r
o
v
id
es
t
h
e
ST
A
T
C
OM
r
e
f
er
en
ce
r
ea
ctiv
e
c
u
r
r
en
t
R
ef
_
I
Q
as
its
o
u
tp
u
t,
an
d
th
e
s
lo
p
e
o
f
th
e
ST
A
T
C
OM
V
-
I
ch
ar
ac
ter
is
tics
(
in
v
o
ltag
e
co
n
tr
o
l
m
o
d
e)
is
r
ef
er
r
ed
to
as d
r
o
o
p
.
A
ll th
e
s
tep
s
i
n
th
e
f
lo
w
ch
ar
t
f
o
r
P
SO f
o
r
ST
A
T
C
OM
co
n
tr
o
l s
h
o
w
n
i
n
Fi
g
u
r
e
6.
Fig
u
r
e
5
.
B
lo
ck
Sch
e
m
a
tic
o
f
ST
A
T
C
OM
Vo
ltag
e
S
u
p
er
v
is
o
r
R
eg
u
lated
U
s
in
g
P
SO
-
P
I
T
ec
h
n
iq
u
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
J
E
C
E
Vo
l.
7
,
No
.
2
,
A
p
r
il
2
0
1
7
:
6
6
7
–
680
673
Step
1
:
I
n
itial
co
n
d
itio
n
s
:
I
n
th
e
P
SO
alg
o
r
it
h
m
f
o
r
S
T
A
T
C
OM
co
n
tr
o
l,
th
e
g
ain
s
o
f
th
e
P
I
co
n
tr
o
ller
K
PR
an
d
K
I
N
w
er
e
th
e
p
o
s
itio
n
s
o
r
s
ea
r
ch
i
n
g
p
o
i
n
ts
.
T
h
e
in
cr
e
m
e
n
t
s
in
co
n
tr
o
ller
g
ain
s
Δ
K
PR
a
n
d
ΔK
IN
w
er
e
t
h
e
v
elo
cities.
T
h
e
s
p
ec
i
f
ied
r
an
g
es
f
o
r
K
PR
an
d
K
IN
w
er
e
c
h
o
s
en
to
b
e
[
0
1
.
5
]
an
d
[
0
1
]
r
esp
ec
tiv
el
y
.
T
h
e
i
n
itial
v
al
u
es
o
f
Δ
K
PR
a
n
d
Δ
K
I
N
w
er
e
r
an
d
o
m
l
y
c
h
o
s
en
w
it
h
i
n
t
h
e
i
n
ter
v
al
[
-
1
1
]
.
P
b
est
(
p
er
s
o
n
al
b
est)
w
as
t
h
e
p
r
ese
n
t
p
o
s
itio
n
f
o
r
ea
ch
p
ar
ticle
an
d
g
b
es
t
(
g
lo
b
al
b
est)
w
as
t
h
e
p
o
s
itio
n
o
f
t
h
e
p
ar
ticle
w
it
h
t
h
e
b
est ca
lcu
la
te
d
v
alu
e
o
f
e
v
al
u
atio
n
f
u
n
ctio
n
o
u
t o
f
all
av
a
ilab
le
p
b
ests
.
Fig
u
r
e
6
.
Flo
w
c
h
ar
t f
o
r
P
SO f
o
r
ST
A
T
C
OM
s
u
p
er
v
is
io
n
Step
2
:
A
ttai
n
m
e
n
t
o
f
e
v
al
u
atio
n
f
u
n
c
tio
n
v
alu
e
f
o
r
ea
ch
ag
en
t
:
So
m
e
o
f
t
h
e
p
er
f
o
r
m
an
ce
cr
iter
ia
co
m
m
o
n
l
y
u
tili
ze
d
f
o
r
tu
n
i
n
g
P
I
co
n
tr
o
ller
s
ar
e
in
te
g
r
al
ab
s
o
lu
te
er
r
o
r
(
I
A
E
)
,
in
te
g
r
al
o
f
s
q
u
ar
ed
er
r
o
r
(
I
SE)
an
d
in
te
g
r
al
o
f
ti
m
e
w
ei
g
h
ted
s
q
u
ar
ed
er
r
o
r
(
I
T
SE)
.
T
h
ey
h
av
e
t
h
eir
o
w
n
d
is
ad
v
an
tag
e
s
.
I
A
E
an
d
I
SE
ca
n
lead
to
a
lo
n
g
s
ettl
in
g
t
i
m
e
al
th
o
u
g
h
t
h
e
y
m
in
i
m
ize
t
h
e
o
v
e
r
s
h
o
o
t.
I
n
s
p
ite
o
f
t
h
e
f
ac
t
th
a
t
I
T
SE
o
v
er
co
m
e
s
th
e
lo
n
g
s
ettli
n
g
ti
m
e
p
r
o
b
lem
,
it
in
v
o
l
v
es
v
er
y
co
m
p
licated
an
d
len
g
th
y
an
a
l
y
t
ical
ca
lcu
lat
io
n
s
.
I
n
th
is
w
o
r
k
,
a
d
if
f
er
en
t
ev
a
lu
at
io
n
cr
iter
io
n
w
as
u
s
ed
.
Th
e
o
b
j
ec
tiv
e
f
u
n
ct
io
n
Ob
j
(
K)
,
w
h
o
s
e
v
al
u
e
w
a
s
t
o
b
e
m
i
n
i
m
ized
i
n
th
is
ca
s
e,
is
s
tated
i
n
E
q
u
atio
n
(
1
2
)
:
(
)
(
)
(
)
(
)
(
1
2
)
I
n
E
q
u
atio
n
(
1
2
)
,
K=
[
K
PR
K
IN
]
,
er
r
o
r
_
s
s
s
tan
d
s
f
o
r
t
h
e
er
r
o
r
at
s
tead
y
-
s
tate,
s
ettli
n
g
_
t a
n
d
r
i
s
e_
ts
ta
n
d
f
o
r
th
e
s
ett
lin
g
ti
m
e
an
d
r
is
e
ti
m
e
r
esp
ec
tiv
e
l
y
,
a
n
d
th
e
p
ea
k
o
v
er
s
h
o
o
t
is
d
en
o
ted
b
y
o
v
er
_
s
h
.
I
f
th
e
w
e
ig
h
ti
n
g
f
ac
to
r
m
e
x
ce
ed
s
0
.
7
,
th
e
er
r
o
r
at
s
tead
y
s
tate
a
n
d
p
ea
k
o
v
er
s
h
o
o
t
ar
e
d
ec
r
ea
s
ed
,
an
d
if
it
is
b
elo
w
0
.
7
,
th
e
s
ettli
n
g
ti
m
e
a
n
d
r
i
s
e
t
i
m
e
ar
e
r
ed
u
ce
d
[
1
6
]
.
T
h
er
ef
o
r
e,
th
e
p
r
ef
er
r
ed
r
an
g
e
f
o
r
m
is
[
0
.
8
1
.
5
]
,
in
t
h
is
p
r
o
g
r
a
m
,
m
w
a
s
ta
k
e
n
to
b
e
1
.
2
.
T
h
e
p
er
f
o
r
m
a
n
ce
cr
iter
io
n
w
a
s
e
v
alu
ated
f
o
r
ea
ch
a
g
e
n
t.
I
f
a
n
e
w
s
ea
r
ch
i
n
g
p
o
in
t
p
r
o
v
id
ed
a
b
etter
ev
alu
ated
v
alu
e
o
f
o
b
j
ec
tiv
e
f
u
n
ctio
n
,
it
r
ep
lace
d
th
e
cu
r
r
en
t
p
b
est.
T
h
e
b
est
o
u
t
o
f
al
l
av
ailab
le
n
e
w
p
b
ests
r
ep
lace
d
th
e
c
u
r
r
en
t
g
b
est
i
f
it
s
a
tis
f
ied
th
e
d
esi
g
n
cr
iter
io
n
in
a
b
ette
r
w
a
y
co
m
p
ar
ed
to
th
e
p
r
esen
t
g
b
est.
Step
3
:
Up
d
atin
g
p
o
s
itio
n
s
a
n
d
v
elo
citie
s
:
T
h
e
co
n
tr
o
ller
g
ain
s
an
d
t
h
eir
in
c
r
e
m
e
n
ts
w
e
r
e
alter
ed
u
s
i
n
g
th
e
E
q
u
at
io
n
s
(
1
3
)
,
(
1
4
)
an
d
(
1
5
)
:
(
1
3
)
(
1
4
)
(
1
5
)
K
t
j
+
1
=
i
n
d
_
cn
st
×
r
d
m
_
1
×
(
K
t
(
p
be
s
t
)
K
t
j
)
+
scl
_
cn
st
×
r
d
m
_
2
×
(
K
gbe
s
t
K
t
j
)
+
wf
j
K
c
j
wf
j
=
w
mx
(
w
mx
w
mn
)
/
i
t
e
r
at
i
o
n
_
m
ax
)
×
j
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
C
E
I
SS
N:
2
0
8
8
-
8708
V
o
lta
g
e
C
o
mp
en
s
a
tio
n
in
W
in
d
P
o
w
er S
ystem
u
s
in
g
S
TATC
OM Co
n
tr
o
lled
b
y
…
(
B
in
ee
ta
Mu
kh
o
p
a
d
h
ya
y
)
674
I
n
E
q
u
atio
n
s
(
1
3
)
,
(
1
4
)
an
d
(
1
5
)
,
d
en
o
tes
th
e
p
o
s
itio
n
o
f
th
e
p
ar
ticle
t
at
iter
atio
n
j
,
s
tan
d
s
f
o
r
th
e
lo
ca
tio
n
o
f
p
ar
ticle
t
at
iter
atio
n
j
+1
,
=
is
th
e
v
elo
ci
t
y
(
in
cr
e
m
e
n
t
in
co
n
tr
o
ller
g
ai
n
f
o
r
t
th
p
ar
ticle
Δ
K
t
)
o
f
p
ar
ticle
t
at
iter
atio
n
j
+1
,
in
d
_
cn
s
ta
n
d
s
cl_
cn
s
td
en
o
te
th
e
co
n
s
ta
n
t
s
w
h
ic
h
ac
co
u
n
t
f
o
r
in
d
iv
id
u
al
an
d
s
o
cial
b
e
h
av
io
r
r
esp
ec
tiv
el
y
,
iter
atio
n
_
m
a
x
i
s
th
e
p
r
e
-
s
p
ec
if
ied
m
a
x
i
m
u
m
n
u
m
b
er
o
f
iter
atio
n
s
,
d
en
o
te
th
e
m
ax
i
m
u
m
a
n
d
m
i
n
i
m
u
m
in
er
tia
w
eig
h
t
s
r
esp
ec
ti
v
el
y
,
j
is
t
h
e
n
u
m
b
er
o
f
t
h
e
p
r
esen
t
iter
atio
n
an
d
r
d
m
_
1
an
d
r
d
m
_
2
ar
e
r
an
d
o
m
n
u
m
b
er
s
eq
u
en
c
es
w
ith
in
t
h
e
r
an
g
e
[
0
1
]
.
St
ep
4
:
C
h
ec
k
o
n
e
x
it
co
n
d
i
tio
n
:
T
h
e
ex
it
co
n
d
itio
n
w
as
f
u
lf
illed
if
th
e
c
u
r
r
en
t
iter
at
io
n
co
u
n
t
b
ec
am
e
eq
u
al
to
th
e
m
ax
i
m
u
m
n
u
m
b
er
o
f
iter
atio
n
s
,
w
h
ic
h
w
a
s
s
p
ec
if
ied
to
b
e
2
4
i
n
t
h
i
s
ca
s
e.
T
h
e
p
ar
am
eter
s
u
s
ed
in
t
h
e
P
SO p
r
o
g
r
a
m
f
o
r
th
e
ST
A
T
C
OM
ar
e
s
u
m
m
ar
ize
d
in
T
ab
le
4
.
T
ab
le
4
.
P
ar
am
eter
s
i
n
th
e
P
S
O
p
r
o
g
r
am
f
o
r
ST
A
T
C
OM
co
n
tr
o
l
P
a
r
a
me
t
e
r
V
a
l
u
e
N
u
mb
e
r
o
f
P
a
r
t
i
c
l
e
s
10
C
o
n
st
a
n
t
f
o
r
I
n
d
i
v
i
d
u
a
l
R
e
p
r
e
se
n
t
a
t
i
o
n
(
i
n
d
_
c
n
s
t
)
2
C
o
n
st
a
n
t
R
e
p
r
e
se
n
t
i
n
g
S
o
c
i
a
l
I
n
t
e
r
a
c
t
i
o
n
s (scl
_
c
n
st
)
2
M
a
x
i
m
u
m
(
I
n
i
t
i
a
l
)
I
n
e
r
t
i
a
W
e
i
g
h
t
(
w
mx
)
1
.
5
M
i
n
i
m
u
m
(
F
i
n
a
l
)
I
n
e
r
t
i
a
W
e
i
g
h
t
(
w
mn
)
0
.
5
T
o
t
a
l
n
u
m
b
e
r
o
f
i
t
e
r
a
t
i
o
n
s
c
o
n
s
i
d
e
r
e
d
(
i
t
e
r
a
t
i
o
n
_
m
a
x
)
24
W
e
i
g
h
t
i
n
g
F
a
c
t
o
r
(
m)
1
.
2
6.
RE
S
E
ARCH
M
E
T
H
O
D
3
:
ST
AT
CO
M
CO
NT
RO
L
L
E
D
B
Y
F
U
Z
Z
Y
L
O
G
I
C
AND
P
SO
I
n
th
e
f
o
u
r
t
h
m
et
h
o
d
o
lo
g
y
,
th
e
p
r
o
p
o
r
tio
n
al
an
d
in
te
g
r
al
P
I
g
ain
s
o
f
t
h
e
ST
A
T
C
O
M
v
o
ltag
e
s
u
p
er
v
i
s
o
r
w
er
etu
n
ed
u
s
i
n
g
b
o
th
f
u
zz
y
lo
g
ic
a
n
d
P
SO
(
co
m
b
in
at
io
n
o
f
f
u
zz
y
-
P
I
a
n
d
P
SO
-
P
I
tec
h
n
iq
u
es),
h
en
ce
t
h
is
tec
h
n
iq
u
e
w
as
ca
ll
ed
f
u
zz
y
P
SO
-
P
I
tech
n
iq
u
e.
T
h
e
s
ch
e
m
a
t
ic
d
iag
r
a
m
o
f
t
h
e
ST
A
T
C
OM
v
o
ltag
e
r
eg
u
lato
r
s
u
p
er
v
i
s
ed
u
s
i
n
g
f
u
z
z
y
P
SO
-
P
I
tech
n
iq
u
e
i
s
s
h
o
wn
i
n
F
ig
u
r
e
7
.
K
PR
(
P
SO
)
a
n
d
K
I
N
(
P
SO
)
o
b
tain
ed
f
r
o
m
t
h
e
P
SO
p
r
o
g
r
a
m
d
escr
i
b
ed
in
s
ec
t
io
n
5
w
er
e
ad
d
ed
to
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s
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
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C
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I
SS
N:
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8
-
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V
o
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,
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ased
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s
.
T
h
u
s
,
t
h
e
g
r
id
co
d
es r
elate
d
to
s
tab
le
o
p
er
atio
n
o
f
w
in
d
f
ar
m
s
i
n
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s
e
o
f
v
o
lta
g
e
s
ag
s
ar
e
n
o
t v
io
lated
.
b.
I
t
is
n
o
ted
t
h
at
f
o
r
t
h
e
f
ir
s
t
t
w
o
ca
s
e
s
,
n
a
m
el
y
,
s
i
m
u
lta
n
eo
u
s
d
r
o
p
in
w
i
n
d
s
p
ee
d
an
d
g
r
id
v
o
ltag
e
a
n
d
SL
G
f
a
u
lt,
t
h
e
ST
A
T
C
OM
c
o
n
tr
o
lled
u
s
i
n
g
P
SO
p
r
o
v
id
ed
th
e
m
ax
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m
u
m
v
o
l
ta
g
e
co
m
p
en
s
atio
n
o
u
t
o
f
th
e
th
r
ee
tec
h
n
iq
u
es.
c.
I
t
is
s
ee
n
t
h
at
in
th
e
r
e
m
a
in
i
n
g
te
s
t
ca
s
es,
n
a
m
el
y
,
L
L
f
a
u
lt
,
DL
G
f
au
lt
a
n
d
s
u
d
d
en
lo
ad
in
cr
e
m
e
n
t,
th
e
f
u
zz
y
P
SO c
o
n
tr
o
lled
ST
A
T
C
OM
o
f
f
er
ed
th
e
h
i
g
h
e
s
t i
m
p
r
o
v
e
m
e
n
t i
n
v
o
lta
g
e
at
t
h
e
P
C
C
.
T
h
e
d
etailed
s
i
m
u
latio
n
r
es
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lts
a
n
d
ass
o
ciate
d
a
n
al
y
s
i
s
f
o
r
all
th
e
te
s
t
ca
s
e
s
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n
t
h
e
f
o
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m
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f
a
p
er
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ar
i
s
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m
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th
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h
r
ee
ST
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co
n
tr
o
l
tech
n
iq
u
es
d
escr
ib
ed
in
s
ec
tio
n
s
4
,
5
an
d
6
ar
e
p
r
esen
ted
.
T
ab
le
6.
P
o
s
itiv
e
s
eq
u
e
n
ce
v
o
ltag
e
at
B
US_
P
C
C
i
n
all
t
h
e
te
s
t c
ases
u
s
i
n
g
ST
A
T
C
OM
co
n
tr
o
lled
b
y
all
t
h
e
th
r
ee
tech
n
iq
u
e
s
Ty
p
e
o
f
d
i
s
t
u
r
b
a
n
c
e
P
o
si
t
i
v
e
se
q
u
e
n
c
e
v
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l
t
a
g
e
(
p
u
)
a
t
B
U
S
_
P
C
C
w
h
e
n
S
TA
T
C
O
M
i
s a
b
se
n
t
P
o
si
t
i
v
e
se
q
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n
c
e
v
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l
t
a
g
e
(
p
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a
t
B
U
S
_
P
C
C
w
h
e
n
f
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z
z
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c
o
n
t
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d
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TA
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M
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s
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se
n
t
P
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si
t
i
v
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se
q
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v
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l
t
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(
p
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t
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w
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d
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(
p
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w
h
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n
t
S
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mu
l
t
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c
c
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r
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e
n
c
e
o
f
st
e
p
c
h
a
n
g
e
(
d
r
o
p
)
i
n
w
i
n
d
sp
e
e
d
a
n
d
v
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l
t
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g
e
d
i
p
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n
g
r
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d
0
.
6
8
0
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9
2
0
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9
5
0
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9
4
S
i
n
g
l
e
l
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t
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5
5
0
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7
8
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7
9
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D
o
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f
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4
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5
9
1
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u
d
d
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n
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n
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r
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o
a
d
0
.
6
9
0
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8
9
0
.
8
6
0
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8
9
7
8
.
1
.
Si
m
ulta
neo
us
O
cc
urre
n
ce
o
f
Ste
p Cha
ng
e
(
Dro
p)
in
Wind
S
peed
a
nd
Di
p
in t
he
G
rid V
o
lt
a
g
e
W
h
en
th
e
w
i
n
d
s
p
ee
d
d
r
o
p
p
e
d
as
a
s
tep
f
r
o
m
2
2
m
/
s
to
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m
/s
a
n
d
th
e
g
r
id
v
o
lta
g
e
d
ip
p
ed
to
0
.
1
p
u
s
i
m
u
lta
n
eo
u
s
l
y
,
t
h
e
p
o
s
iti
v
e
s
eq
u
en
ce
v
o
lta
g
e
at
B
US_
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C
C
,
w
h
ich
h
ad
f
al
len
to
0
.
6
8
p
u
i
n
t
h
e
ab
s
en
ce
o
f
ST
A
T
C
OM
(
Fig
u
r
e
9
)
i
m
p
r
o
v
ed
to
0
.
9
2
p
u
,
0
.
9
5
p
u
an
d
0
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9
4
p
u
in
th
e
p
r
ese
n
ce
o
f
f
u
zz
y
,
P
SO
(
Fig
u
r
e
1
0
)
an
d
f
u
zz
y
P
SO
co
n
tr
o
lled
STA
T
C
OM
r
esp
ec
ti
v
el
y
.
T
h
er
ef
o
r
e,
w
e
s
ee
t
h
at
t
h
e
ST
A
T
C
OM
co
n
tr
o
lled
u
s
in
g
P
SO p
r
o
v
id
ed
th
e
h
ig
h
est
v
o
lt
ag
e
co
m
p
en
s
atio
n
o
u
t o
f
t
h
e
t
h
r
ee
m
et
h
o
d
s
.
I
t c
an
also
b
e
o
b
s
er
v
ed
f
r
o
m
Fi
g
u
r
e
1
1
th
at
th
e
f
u
zz
y
P
SO
co
n
tr
o
ll
ed
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A
T
C
OM
o
f
f
er
ed
a
co
m
p
ar
ativ
el
y
s
m
o
o
th
er
v
o
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g
e
r
esp
o
n
s
e,
w
it
h
f
e
w
er
o
s
cillatio
n
s
.
Fig
u
r
e
9
.
P
o
s
itiv
e
s
eq
u
en
ce
v
o
ltag
e
(
p
u
)
at
B
US_
P
C
C
u
n
d
er
th
e
i
m
p
ac
t o
f
s
tep
ch
a
n
g
e
(
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r
o
p
)
in
w
i
n
d
s
p
ee
d
an
d
v
o
ltag
e
d
ip
o
n
t
h
e
g
r
id
w
h
en
ST
A
T
C
OM
is
ab
s
e
n
t
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