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NDUC
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I
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:
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88
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IJ
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.
6
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.
5
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c
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r
2016
:
19
67
–
19
84
1968
F
i
g
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1
.
F
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p
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n p
ha
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.
3.
TW
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S
I
i
s
o
p
er
at
ed
i
n
t
en
m
o
d
es
,
i
n
each
m
o
d
e f
i
v
e s
w
i
t
c
h
es
ar
e i
n
O
N
s
t
at
e,
t
w
o
s
w
i
t
c
h
es
f
r
o
m
t
h
e u
p
p
e
r
g
r
o
u
p
an
d
t
h
r
ee
s
w
i
t
c
he
s
f
r
o
m
l
o
w
e
r
gr
o
up
o
r
vi
c
e
ve
r
s
a
.
I
n o
r
de
r
t
o a
v
oi
d t
h
e
s
h
or
t
c
i
r
c
u
i
t
i
ng
i
n
a
ny
l
e
g of
t
h
e
i
nv
e
r
t
e
r
n
o
t
w
o
s
w
i
t
ch
e
s
ar
e t
u
r
n
ed
o
n
(
F
i
gur
e
3
)
.
F
i
g
u
r
e 2
.
T
w
o
L
e
v
el
F
i
v
e
L
eg
v
o
l
t
ag
e s
o
u
r
ce i
n
v
er
t
er
F
i
gu
r
e
3.
R
e
p
r
e
s
e
nt
a
t
i
o
n o
f
d
e
a
d
l
i
ne
a
nd
ho
w
p
o
w
e
r
s
w
i
t
c
h i
s
w
o
r
ki
ng i
n
-
t
e
r
m
s
of
pl
ot
t
e
d w
a
v
e
f
or
m
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
E
C
E
I
S
S
N
:
2088
-
8708
C
ar
r
i
e
r
B
as
e
d P
w
m
T
e
c
hni
que
f
or
I
nv
e
r
t
e
r
F
e
d M
ul
t
i
phas
e
I
nduc
t
i
o
n M
ot
or
(
B
.
J
y
ot
hi
)
1969
4.
M
AT
H
E
M
AT
I
CAL
RE
P
R
E
S
E
N
T
AT
I
O
N AND A
NAL
Y
S
I
S
O
F
M
UL
T
I
P
H
AS
E
I
N
DUCT
I
O
N
M
OT
OR
T
h
e
o
p
e
r
a
tio
n
o
f
f
iv
e
le
g
in
v
e
r
te
r
s
w
itc
h
e
s
i
s
in
t
w
o
s
ta
te
s
.
E
a
c
h
le
g
c
o
n
s
is
t
s
o
f
t
w
o
s
w
itc
h
e
s
.
W
h
e
n
o
n
e
s
w
i
tc
h
is
O
N
s
ta
te
a
n
d
th
e
o
t
h
e
r
s
w
i
tc
h
is
i
n
O
F
F
s
ta
te
.
I
n
F
i
g
ur
e
2,
t
he
U
p
p
er
l
eg
s
w
i
t
c
h
es
ar
e
r
ep
r
es
en
t
ed
as
S
a
p
, S
bp
, S
c
p
, S
dp
, S
e
p
,
w
h
er
e as
l
o
w
er
l
eg
s
w
i
t
c
h
es
ar
e S
a
n
, S
bn
, S
c
n
, S
dn
, S
e
n
.
w
h
er
e F
i
r
s
t
s
u
bs
c
r
i
pt
r
e
f
e
r
s
t
o c
or
r
e
s
pon
di
n
g ph
a
s
e a
n
d
s
eco
n
d
s
u
b
s
cr
i
p
t
r
ef
er
s
to
u
p
p
e
r
le
g
o
r
lo
w
e
r
l
e
g
s
w
itc
h
(p
-
u
ppe
r
l
e
g,
n
-
l
o
we
r
l
e
g)
.
W
he
n s
w
i
t
c
h i
n O
N
,
i
t
t
a
ke
s
t
he
va
l
ue
o
f
uni
t
y
a
nd
i
n O
F
F
s
t
a
t
e
i
t
t
a
ke
s
t
he
va
l
ue
o
f
z
e
r
o
.
T
h
e
g
en
er
al
i
s
ed
s
w
i
t
c
h
i
n
g
d
ev
i
ce
ca
n
b
e
r
ep
r
es
en
t
ed
a
s
S
i
j
.
W
h
er
e
“
i
”
r
ep
r
es
en
t
s
t
h
e co
r
r
es
p
o
n
d
i
n
g
p
h
as
e
w
h
i
c
h
i
t
i
s
t
o
b
e as
s
o
ci
at
ed
an
d
“
j
” r
e
p
r
es
en
t
s
t
h
e
u
p
p
er
an
d
l
o
w
er
d
ev
i
ce o
f
t
h
e p
ar
t
i
cu
l
ar
l
eg
o
f
t
h
e i
n
v
er
t
er
.
F
iv
e
le
g
in
v
e
r
te
r
o
u
tp
u
t v
o
lta
g
e
e
q
u
a
tio
n
s
a
r
e
e
x
p
r
e
s
s
e
d
in
te
r
m
s
o
f
i
n
p
u
t d
c
v
o
lta
g
e
V
d
a
r
e
a
s
f
o
l
l
o
w
s
.
=
2
(
2
Si
p
-
1
)=
+
,
=
,
,
,
,
(1
)
=
2
(
s
a
p
-
s
an
)
=
2
(
s
a
p
–
(1
-
s
a
p)
)
=
2
(
s
a
p
–
1
+ s
ap
)
=
2
2
−
1
=
+
(
2
)
s
i
m
ila
r
l
y
,
=
2
2
−
1
=
+
(3
)
=
2
2
−
1
=
+
(4
)
=
2
2
−
1
=
+
(5
)
=
2
2
−
1
=
+
(
6)
N
o
w
,
eq
u
at
i
n
g
L
.
H
.
S
an
d
R
.
H
.
S
t
er
m
s
,
H
e
n
ce,
w
e g
et
+
+
+
+
=
+
+
+
+
+
+
+
+
+
T
h
er
ef
o
r
e
,
+
+
+
+
=
+
+
+
+
+
5
(
7
)
wh
e
r
e
,
+
+
+
+
=
2
2
−
1
+
2
2
−
1
+
2
2
−
1
+
2
2
−
1
+
2
2
−
1
(
8
)
N
o
w
,
b
al
a
n
ced
f
i
v
e
–
p
h
as
e
s
y
s
t
e
m
,
a
n
d
el
i
m
i
n
at
e t
h
e
h
i
g
h
er
o
r
d
er
t
er
m
s
(
o
r
)
r
ep
r
es
en
t
ed
as
s
i
m
p
l
y
zero
.
T
he
n
+
+
+
+
= 0
(
9
)
S
ub
s
t
i
t
ut
e
e
q
ua
t
i
o
n 9
i
n e
q
ua
t
i
o
n 8
,
t
he
n
+
+
+
+
=
5
(
10
)
S
u
bs
t
i
t
u
t
e
e
q.
8,
i
n
e
q.
10 t
h
e
n
,
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
20
88
-
8708
IJ
E
C
E
V
o
l
.
6
, N
o
.
5
,
O
c
t
obe
r
2016
:
19
67
–
19
84
1970
5
=
2
2
−
1
+
2
2
−
1
+
2
2
−
1
+
2
2
−
1
+
2
2
−
1
(
11
)
,
,
,
,
I
n
d
i
cat
es
t
h
e p
h
a
s
e v
o
l
t
a
g
es
w
.
r
.
t
o
t
h
e l
o
ad
an
d
r
ef
er
s
v
o
l
t
ag
e
w
.
r
.
t
t
h
e l
o
ad
.
5.
P
U
LS
E W
ID
TH
M
O
D
U
LA
T
I
O
N
(
P
W
M
)
U
S
IN
G
I
N
V
ER
TER
F
ED
M
U
LT
I P
H
A
S
E
IN
D
U
C
TIO
N
M
O
TO
R
A
cco
r
d
i
n
g
t
o
t
h
e s
w
i
t
c
h
e
s
O
N
an
d
O
F
F
o
f
t
h
e i
n
v
er
t
er
,
p
u
l
s
es
ar
e
g
e
n
er
at
ed
.
C
o
n
s
i
d
er
t
h
e
m
a
g
ni
t
ud
e
o
f
t
he
p
ul
s
e
s
e
i
t
he
r
uni
t
y
o
r
Z
e
r
o
d
e
p
e
nd
s
up
o
n t
he
s
w
i
t
c
hi
n
g a
c
t
i
o
n.
F
r
o
m
t
he
f
o
ur
i
e
r
a
na
l
ys
i
s
t
he
e
x
p
r
e
ss
i
o
n
s
a
r
e
w
r
i
t
t
e
n
a
s
f
o
l
l
o
w
s
.
S
ip
=
0
.
5
1
+
(
12
)
2
S
ip
=
1
+
2
S
ip
−
1
=
(
13
)
=
2
(
+
0
)
,
=
,
,
,
,
(
14
)
6.
ZE
R
O
-
S
E
Q
UE
N
CE
S
I
G
N
AL
UNB
I
A
S
E
D VO
L
T
AG
E
F
r
o
m
e
q
u
a
tio
n
2
to
6
,
n
e
u
tr
a
l
v
o
lta
g
e
0
,
can
b
e
w
r
i
t
t
en
a
s
2
2
−
1
=
(
14
)
=
2
2
−
1
−
(
15
)
2
=
2
−
1
−
2
(
16
)
2
−
1
=
2
+
2
(
17
)
2
−
1
=
+
(
18
)
W
h
er
e,
=
2
,
2
a
nd
=
,
,
,
,
.
T
he
up
p
e
r
s
w
i
t
c
h i
s
t
ur
ne
d
O
N
i
n V
S
I
=
1
−
(
19
)
W
he
n t
he
up
p
e
r
s
w
i
t
c
h i
s
t
ur
n
e
d
o
ff
i
n V
S
I
,
t
he
n
=
−
1
−
(
20)
T
h
er
e ar
e s
i
x
f
eas
i
b
l
e
s
o
l
u
t
i
o
n
s
f
o
r
Mo
f
r
o
m
eq
.
(
19)
a
n
d e
q.
(
2
0
)
s
in
c
e
th
e
e
q
u
a
tio
n
is
d
e
te
r
m
in
e
d
a
n
d
y
ie
ld
in
g
a
in
f
i
n
ite
n
u
m
b
e
r
o
f
p
o
s
s
ib
ilitie
s
.
H
o
w
e
v
er
,
Mo
l
i
es
b
et
w
een
1
a
nd
–
1
s
i
n
ce
t
h
e
n
o
r
m
al
i
zed
hi
g
h
-
f
r
e
q
ue
nc
y
t
r
i
a
n
gu
l
a
r
s
i
g
na
l
a
l
s
o
l
i
e
s
w
i
t
hi
n t
hi
s
r
a
n
ge
[
1]
.
T
h
e
a
ppr
opr
i
a
t
e
s
ol
u
t
i
on h
a
s
t
o be
obt
a
i
n
e
d
f
ro
m
e
q
u
a
t
i
o
n
(1
9
) a
n
d
(2
0
).
W
ith
th
e
f
o
llo
w
i
n
g
d
e
f
in
i
tio
n
s
,
=
=
(
21)
H
er
e
c
o
n
si
s
t
s o
f
t
w
o
v
a
l
u
e
s i
.
e
Ma
x
a
nd
Mi
n
T
he
e
xt
r
e
m
a
o
f
t
he
m
0
ar
e
(
1
−
M
ma
x
)
,
(
-
1
−
M
mi
n
)
,
(
1
−
M
min
)
a
nd
(
-
1
−
M
ma
x
)
o
f
w
h
i
c
h ha
ve
t
he
m
a
g
ni
t
ud
e
s
b
e
t
w
e
e
n t
he
r
a
nge
(
1
,
-
1
)
.
T
he
t
w
o
s
o
l
ut
i
o
ns
a
r
e
no
w
l
i
ne
a
r
l
y
d
ep
en
d
en
t
t
o
d
et
er
m
i
n
e t
h
e a
v
er
ag
e
va
l
ue
o
f
m
0
,
wh
e
r
e
0
≤α
≤
1 a
n
d i
s
gi
ve
n b
y
[2
]
〈
0
〉
=
(
−
1
−
)
+
(
1
−
)
(
1
−
)
(
22
)
〈
0
〉
=
(
1
−
2
)
+
(
−
1
)
(
)
–
(
23
)
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
E
C
E
I
S
S
N
:
2088
-
8708
C
ar
r
i
e
r
B
as
e
d P
w
m
T
e
c
hni
que
f
or
I
nv
e
r
t
e
r
F
e
d M
ul
t
i
phas
e
I
nduc
t
i
o
n M
ot
or
(
B
.
J
y
ot
hi
)
1971
H
er
e t
h
e
N
o
.
o
f
car
r
i
er
p
u
l
s
e w
i
d
t
h
m
o
d
u
l
at
i
o
n
s
i
g
n
al
s
ar
e p
r
o
v
i
d
ed
b
y
t
h
e
v
al
u
e o
f
α
.
B
y
c
h
a
n
g
i
n
g
δ,
d
if
f
e
r
e
n
t
d
is
c
o
n
tin
u
e
s
m
o
d
u
la
tio
n
s
ig
n
a
l
s
a
r
e
o
b
ta
in
e
d
.
Fi
g
ur
e
4
t
hr
o
ugh
F
i
g
ur
e
7
h
a
s
de
f
i
n
e
d
t
h
e
m
odul
a
t
i
on
s
i
g
n
a
l
s
a
n
d
c
or
r
e
s
pon
di
n
g
ph
a
s
e
‘
a
’
l
oa
d
v
ol
t
a
g
e
a
t
di
f
f
e
r
e
n
t
v
a
l
u
e
s
of
α
a
nd
m
o
d
u
la
tio
n
s
i
g
n
a
ls
δ
[
2
]
.
I
n t
hi
s
r
e
s
ul
t
t
he
p
e
a
k f
u
nd
a
m
e
nt
a
l
vo
l
t
a
ge
i
s
1
5
0
V
,
a
nd
t
h
i
r
d
ha
r
m
o
ni
c
vo
l
t
a
ge
i
s
15V
.
T
h
e
D
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:
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88
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6
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