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,
th
e
p
r
o
p
o
s
ed
FP
GA
ar
ch
itectu
r
e
p
r
o
v
id
es
d
eter
m
i
n
is
tic
h
ar
d
war
e
tim
in
g
th
r
o
u
g
h
co
n
c
u
r
r
en
t
lo
g
ic
ex
ec
u
tio
n
,
th
er
eb
y
av
o
id
i
n
g
s
o
f
twar
e
-
in
d
u
ce
d
ex
ec
u
tio
n
l
aten
cy
an
d
in
ter
r
u
p
t
tim
in
g
u
n
ce
r
tain
ty
in
p
r
o
g
r
am
m
ab
le
p
h
ase
g
e
n
er
atio
n
.
Pre
v
io
u
s
s
tu
d
ies
h
av
e
s
u
cc
ess
f
u
lly
d
em
o
n
s
tr
ated
FP
GA
-
b
ased
im
p
lem
en
tatio
n
s
f
o
r
PW
M
g
en
er
atio
n
,
s
witch
in
g
co
n
tr
o
l,
d
ea
d
-
tim
e
m
an
ag
em
en
t,
an
d
m
o
to
r
-
d
r
iv
e
ap
p
licatio
n
s
[
1
0
]
-
[
2
3
]
.
Ho
wev
er
,
th
ese
s
tu
d
ies
p
r
im
ar
ily
f
o
cu
s
o
n
s
witch
in
g
co
n
tr
o
l
an
d
d
r
iv
e
p
er
f
o
r
m
an
ce
r
ath
er
th
an
r
ep
lacin
g
th
e
f
u
n
d
am
en
tal
ca
p
ac
ito
r
-
d
ep
en
d
e
n
t p
h
ase
-
g
en
er
atio
n
m
ec
h
an
is
m
in
PS
C
m
o
to
r
s
[
4
]
,
[
5
]
.
Alth
o
u
g
h
ca
p
ac
ito
r
-
less
o
p
er
atio
n
h
as
attr
ac
ted
in
c
r
ea
s
in
g
in
ter
est,
ex
p
e
r
im
en
tal
v
ali
d
atio
n
o
f
p
r
o
g
r
a
m
m
ab
le
h
ar
d
war
e
-
d
ef
in
ed
p
h
ase
g
en
er
atio
n
f
o
r
PS
C
m
o
to
r
s
r
em
ai
n
s
lim
ited
.
I
n
p
a
r
ticu
lar
,
f
ew
s
tu
d
ies
h
av
e
s
y
s
tem
atica
lly
in
v
esti
g
ated
h
o
w
d
ig
itally
s
y
n
th
esize
d
p
h
ase
r
elatio
n
s
h
ip
s
in
f
lu
e
n
ce
win
d
in
g
cu
r
r
en
t
d
is
tr
ib
u
tio
n
,
r
ec
o
n
s
tr
u
cted
r
o
t
atin
g
m
ag
n
etic
f
ield
ch
a
r
ac
ter
is
tics
,
an
d
o
v
er
all
elec
tr
o
m
a
g
n
etic
p
er
f
o
r
m
an
ce
.
Sin
ce
th
e
m
ain
a
n
d
au
x
iliar
y
win
d
in
g
s
p
o
s
s
ess
d
if
f
er
en
t
ele
ctr
ical
ch
ar
ac
ter
is
tics
,
ev
alu
ati
n
g
th
e
r
elatio
n
s
h
ip
b
etwe
en
p
r
o
g
r
am
m
ab
le
p
h
ase
ex
citatio
n
,
m
ea
s
u
r
ed
win
d
in
g
cu
r
r
en
ts
,
an
d
r
o
tatin
g
m
ag
n
eti
c
f
ield
f
o
r
m
atio
n
is
ess
en
tial f
o
r
u
n
d
er
s
tan
d
in
g
ca
p
ac
ito
r
-
less
PS
C
m
o
to
r
o
p
er
at
io
n
[
2
4
]
-
[
2
8
]
.
T
o
ad
d
r
ess
th
is
g
ap
,
th
is
p
ap
er
p
r
o
p
o
s
es
an
FP
GA
-
b
ased
h
ar
d
war
e
-
d
ef
in
e
d
p
h
ase
g
en
er
atio
n
ar
ch
itectu
r
e
f
o
r
ca
p
ac
ito
r
-
less
PS
C
m
o
to
r
o
p
er
atio
n
.
I
n
s
tead
o
f
r
ely
i
n
g
o
n
a
p
ass
iv
e
p
h
ase
-
s
h
if
tin
g
ca
p
ac
ito
r
,
th
e
p
r
o
p
o
s
ed
s
y
s
tem
d
ig
it
ally
s
y
n
th
esizes
p
r
o
g
r
am
m
ab
le
p
h
ase
-
d
is
p
lace
d
ex
cita
tio
n
s
ig
n
als
u
s
in
g
d
eter
m
in
is
tic
HDL
-
b
ased
c
o
n
tr
o
l
im
p
lem
e
n
ted
o
n
a
T
an
g
Nan
o
4
K
FP
GA
an
d
a
T
M
-
3
5
in
tellig
en
t
p
o
wer
m
o
d
u
le.
E
x
p
er
im
en
tal
v
alid
at
io
n
was
p
er
f
o
r
m
ed
u
n
d
er
p
r
o
g
r
am
m
ab
le
p
h
ase
r
elatio
n
s
h
ip
s
o
f
6
0
°,
9
0
°,
an
d
1
2
0
°
o
v
er
ex
citatio
n
f
r
eq
u
en
cies
f
r
o
m
2
0
t
o
5
0
Hz.
Sy
s
tem
p
er
f
o
r
m
a
n
ce
was
ev
alu
at
ed
th
r
o
u
g
h
win
d
i
n
g
cu
r
r
en
t
m
ea
s
u
r
em
en
t,
r
ec
o
n
s
t
r
u
cted
m
a
g
n
etic
f
ield
an
aly
s
is
,
an
d
q
u
an
titativ
e
elec
tr
o
m
a
g
n
etic
ass
ess
m
en
t
u
s
in
g
th
e
cir
cu
lar
ity
in
d
ex
(
C
I
)
an
d
ellip
ticity
r
atio
(
E
R
)
.
T
h
e
m
ain
co
n
tr
ib
u
tio
n
s
o
f
th
i
s
wo
r
k
ar
e
s
u
m
m
ar
ized
as
f
o
llo
ws:
th
e
d
ev
elo
p
m
en
t
o
f
a
h
ar
d
war
e
-
d
ef
in
ed
p
h
ase
g
en
er
atio
n
a
r
ch
itectu
r
e
f
o
r
ca
p
ac
ito
r
-
less
PS
C
m
o
to
r
s
;
th
e
im
p
lem
en
tatio
n
o
f
a
d
eter
m
in
is
tic
FP
GA
-
b
ased
co
n
tr
o
ller
with
s
y
n
ch
r
o
n
ized
m
u
lti
-
ch
an
n
e
l
PW
M
g
en
er
atio
n
an
d
h
a
r
d
war
e
d
ea
d
-
tim
e
p
r
o
tectio
n
;
an
d
th
e
e
x
p
er
im
e
n
tal
v
alid
atio
n
o
f
p
r
o
g
r
a
m
m
ab
le
p
h
ase
g
en
er
atio
n
th
r
o
u
g
h
win
d
in
g
c
u
r
r
en
t
an
aly
s
is
,
r
ec
o
n
s
tr
u
cted
m
ag
n
e
tic
f
ield
ev
alu
atio
n
,
an
d
q
u
an
titativ
e
elec
tr
o
m
ag
n
etic
ass
ess
m
en
t
u
s
in
g
th
e
C
I
an
d
E
R
.
T
o
f
u
r
t
h
er
h
ig
h
lig
h
t
th
e
tec
h
n
ical
d
if
f
er
e
n
ce
s
b
et
wee
n
th
e
co
n
v
en
tio
n
al
PS
C
m
o
to
r
d
r
iv
e
an
d
th
e
p
r
o
p
o
s
ed
ca
p
ac
ito
r
-
less
PS
C
m
o
to
r
d
r
iv
e,
th
e
p
r
in
cip
al
ch
ar
ac
ter
is
tics
ar
e
s
u
m
m
ar
ized
in
T
ab
le
1
.
T
ab
le
1
.
C
o
m
p
a
r
is
o
n
b
etwe
en
co
n
v
en
tio
n
al
PS
C
m
o
to
r
d
r
iv
e
an
d
p
r
o
p
o
s
ed
ca
p
ac
ito
r
-
less
P
SC
m
o
to
r
d
r
iv
e
F
e
a
t
u
r
e
C
o
n
v
e
n
t
i
o
n
a
l
P
S
C
m
o
t
o
r
P
r
o
p
o
se
d
c
a
p
a
c
i
t
o
r
-
l
e
ss PS
C
m
o
t
o
r
R
u
n
c
a
p
a
c
i
t
o
r
R
e
q
u
i
r
e
d
R
e
m
o
v
e
d
P
h
a
se
g
e
n
e
r
a
t
i
o
n
P
a
ssi
v
e
c
a
p
a
c
i
t
o
r
F
P
G
A
-
d
e
f
i
n
e
d
p
r
o
g
r
a
mm
a
b
l
e
p
h
a
s
e
g
e
n
e
r
a
t
i
o
n
El
e
c
t
r
o
ma
g
n
e
t
i
c
p
h
a
s
e
r
e
l
a
t
i
o
n
s
h
i
p
G
e
n
e
r
a
t
e
d
b
y
t
h
e
c
a
p
a
c
i
t
o
r
p
h
a
se
sh
i
f
t
G
e
n
e
r
a
t
e
d
b
y
p
r
o
g
r
a
mm
a
b
l
e
F
P
G
A
-
d
e
f
i
n
e
d
p
h
a
se
r
e
l
a
t
i
o
n
sh
i
p
(
6
0
°
,
9
0
°
,
a
n
d
1
2
0
°
)
O
p
e
r
a
t
i
n
g
f
r
e
q
u
e
n
c
y
U
t
i
l
i
t
y
-
f
r
e
q
u
e
n
c
y
d
e
p
e
n
d
e
n
t
P
r
o
g
r
a
m
ma
b
l
e
(
2
0
–
5
0
H
z
)
P
o
w
e
r
s
o
u
r
c
e
A
C
ma
i
n
s
o
n
l
y
C
o
m
p
a
t
i
b
l
e
w
i
t
h
b
o
t
h
2
2
0
V
A
C
a
n
d
3
2
0
–
3
6
0
V
D
C
i
n
p
u
t
s
u
p
p
l
i
e
s
C
a
p
a
c
i
t
o
r
a
g
i
n
g
P
r
e
sen
t
El
i
m
i
n
a
t
e
d
Ex
p
e
r
i
m
e
n
t
a
l
v
a
l
i
d
a
t
i
o
n
C
o
n
v
e
n
t
i
o
n
a
l
o
p
e
r
a
t
i
o
n
V
o
l
t
a
g
e
,
w
i
n
d
i
n
g
c
u
r
r
e
n
t
,
m
o
t
o
r
p
e
r
f
o
r
man
c
e
,
r
e
c
o
n
s
t
r
u
c
t
e
d
ma
g
n
e
t
i
c
f
i
e
l
d
,
a
n
d
C
I
/
ER
e
v
a
l
u
a
t
i
o
n
2
.
P
RO
P
O
SE
D
H
ARDW
ARE
-
DE
F
I
N
E
D
P
H
AS
E
G
E
N
E
R
AT
I
O
N
AR
CH
I
T
E
C
T
UR
E
2
.
1
.
P
rinciple o
f
c
a
pa
cit
o
r
-
le
s
s
P
SC p
ha
s
e
g
ener
a
t
io
n
PS
C
m
o
to
r
s
co
n
v
en
tio
n
ally
em
p
lo
y
a
p
ass
iv
e
ca
p
ac
ito
r
co
n
n
ec
ted
in
s
er
ies
with
th
e
au
x
iliar
y
win
d
in
g
t
o
estab
lis
h
th
e
p
h
a
s
e
d
is
p
lace
m
en
t
r
eq
u
ir
ed
b
etwe
en
th
e
m
ain
an
d
au
x
iliar
y
win
d
in
g
cu
r
r
en
ts
,
th
er
eb
y
p
r
o
d
u
cin
g
t
h
e
r
o
tatin
g
m
ag
n
etic
f
ield
n
ec
ess
ar
y
f
o
r
m
o
to
r
s
tar
tin
g
a
n
d
co
n
tin
u
o
u
s
o
p
er
atio
n
[
1
]
,
[
2
]
.
T
h
e
co
n
v
en
tio
n
al
PS
C
m
o
to
r
co
n
f
ig
u
r
atio
n
is
illu
s
tr
ated
in
Fig
u
r
e
1
.
Fig
u
r
e
1
illu
s
tr
ates
th
e
co
n
v
en
tio
n
al
PS
C
m
o
to
r
ar
ch
itectu
r
e
,
in
clu
d
in
g
th
e
e
q
u
iv
alen
t
cir
cu
it,
s
tato
r
–
r
o
to
r
co
n
s
tr
u
ctio
n
,
an
d
th
e
p
h
a
s
o
r
r
elatio
n
s
h
ip
b
etwe
en
th
e
m
ain
an
d
au
x
iliar
y
win
d
i
n
g
cu
r
r
en
ts
.
T
h
e
r
eq
u
ir
e
d
p
h
ase
d
is
p
lace
m
en
t
is
co
n
v
e
n
tio
n
ally
p
r
o
d
u
ce
d
b
y
a
r
u
n
ca
p
ac
ito
r
c
o
n
n
ec
ted
in
s
er
ies
with
th
e
au
x
iliar
y
win
d
in
g
.
I
n
co
n
v
en
tio
n
al
PSC
o
p
er
atio
n
,
th
e
p
h
ase
r
elatio
n
s
h
ip
is
d
eter
m
in
ed
b
y
b
o
th
th
e
ca
p
ac
ito
r
v
alu
e
a
n
d
th
e
elec
tr
ical
im
p
ed
an
ce
ch
ar
a
cter
is
tics
o
f
th
e
m
o
to
r
win
d
in
g
s
[
1
]
-
[
5
]
.
T
h
e
co
r
r
esp
o
n
d
in
g
m
ain
an
d
au
x
iliar
y
win
d
in
g
ex
citatio
n
s
ca
n
b
e
ex
p
r
ess
ed
in
(
1
)
an
d
(
2
)
.
(
)
=
s
in
(
)
(
1
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
1
7
,
No
.
3
,
Sep
tem
b
er
20
2
6
:
172
8
-
1
7
4
6
1730
(
)
=
s
in
(
+
)
(
2
)
W
h
er
e
an
d
d
en
o
te
th
e
m
ain
an
d
au
x
iliar
y
win
d
in
g
v
o
ltag
es,
r
esp
ec
tiv
ely
;
an
d
ar
e
th
e
co
r
r
esp
o
n
d
in
g
v
o
ltag
e
am
p
lit
u
d
es;
is
th
e
elec
tr
ical
an
g
u
lar
f
r
eq
u
e
n
cy
;
an
d
r
ep
r
esen
ts
th
e
p
h
ase
d
is
p
lace
m
en
t in
tr
o
d
u
ce
d
b
y
th
e
p
ass
iv
e
ca
p
ac
ito
r
to
g
eth
er
w
ith
th
e
win
d
in
g
im
p
ed
a
n
ce
.
Fig
u
r
e
1
.
C
o
n
v
en
tio
n
al
PS
C
: (
a)
eq
u
iv
alen
t c
i
r
cu
it,
(
b
)
m
o
t
o
r
co
n
s
tr
u
ctio
n
(
s
tato
r
an
d
r
o
to
r
)
,
an
d
(
c)
p
h
aso
r
d
iag
r
am
o
f
c
u
r
r
en
ts
Alth
o
u
g
h
th
is
ap
p
r
o
ac
h
p
r
o
v
id
es
a
s
im
p
le
an
d
r
eliab
le
p
h
ase
-
s
h
if
tin
g
m
ec
h
an
is
m
,
t
h
e
r
esu
ltin
g
p
h
ase
r
elatio
n
s
h
ip
is
in
h
er
e
n
tly
co
n
s
tr
ain
e
d
b
y
th
e
p
h
y
s
ical
ca
p
ac
ito
r
ch
ar
ac
ter
is
tics
an
d
ca
n
n
o
t
b
e
ac
tiv
el
y
ad
ju
s
ted
d
u
r
in
g
o
p
er
atio
n
.
C
o
n
s
eq
u
en
tly
,
v
ar
iatio
n
s
in
m
o
to
r
p
a
r
am
eter
s
,
lo
a
d
co
n
d
iti
o
n
s
,
an
d
ca
p
ac
ito
r
ch
ar
ac
ter
is
tics
ca
n
in
f
lu
en
ce
th
e
win
d
in
g
cu
r
r
en
t
p
h
ase
r
ela
tio
n
s
h
ip
an
d
th
e
r
esu
ltin
g
r
o
ta
tin
g
m
ag
n
etic
f
ield
b
eh
av
io
r
[
2
4
]
-
[
2
8
]
.
T
o
o
v
er
c
o
m
e
th
ese
lim
itatio
n
s
,
th
e
p
r
o
p
o
s
ed
f
r
am
ewo
r
k
r
e
p
lace
s
th
e
co
n
v
en
tio
n
al
ca
p
ac
ito
r
-
b
ased
p
h
ase
-
g
en
er
atio
n
m
ec
h
an
is
m
with
FP
GA
-
b
ased
h
ar
d
war
e
-
d
ef
in
ed
p
h
ase
g
en
er
atio
n
.
I
n
s
tead
o
f
r
ely
in
g
o
n
ca
p
ac
ito
r
-
g
e
n
er
ated
p
h
ase
d
is
p
lace
m
en
t,
th
e
a
u
x
iliar
y
win
d
i
n
g
ex
citatio
n
is
s
y
n
th
esized
elec
tr
o
n
ically
u
s
in
g
a
p
r
o
g
r
a
m
m
ab
le
p
h
ase
r
elatio
n
s
h
ip
ex
p
r
ess
ed
in
(
3
)
.
(
)
=
s
in
(
+
)
(
3
)
W
h
er
e
d
e
n
o
tes
th
e
p
r
o
g
r
am
m
ab
le
p
h
ase
d
is
p
lace
m
en
t
g
en
er
ated
b
y
th
e
FP
GA
co
n
tr
o
ller
.
Un
lik
e
th
e
f
ix
e
d
ca
p
ac
ito
r
-
d
e
p
en
d
e
n
t
p
h
ase
a
n
g
le
,
th
e
p
r
o
p
o
s
ed
p
h
ase
v
ar
ia
b
le
is
d
ig
itally
d
ef
i
n
ed
a
n
d
ad
ju
s
ted
th
r
o
u
g
h
h
ar
d
war
e
lo
g
ic
im
p
lem
en
tatio
n
.
Acc
o
r
d
in
g
ly
,
th
e
p
r
o
p
o
s
ed
f
r
am
ewo
r
k
s
h
if
ts
th
e
p
h
ase
-
g
en
er
atio
n
m
ec
h
a
n
is
m
f
r
o
m
ca
p
ac
ito
r
-
d
ef
in
ed
p
h
ase
s
h
if
tin
g
to
p
r
o
g
r
am
m
a
b
le
h
ar
d
war
e
-
d
ef
in
e
d
p
h
ase
g
en
er
atio
n
,
wh
ic
h
ca
n
b
e
co
n
ce
p
tu
all
y
ex
p
r
ess
ed
in
(
4
)
an
d
(
5
)
.
=
(
,
,
)
(
4
)
=
(
)
(
5
)
W
h
er
e
an
d
r
ep
r
esen
t
th
e
e
lectr
ical
im
p
ed
an
ce
c
h
ar
ac
ter
is
tics
o
f
th
e
m
ain
an
d
au
x
iliar
y
win
d
in
g
s
,
r
esp
ec
tiv
ely
.
C
o
n
s
eq
u
en
tly
,
ca
p
ac
ito
r
-
less
PS
C
m
o
to
r
o
p
er
atio
n
ca
n
b
e
ac
h
iev
ed
w
h
ile
p
r
eser
v
i
n
g
th
e
r
eq
u
ir
ed
elec
tr
o
m
a
g
n
etic
p
h
as
e
r
elatio
n
s
h
ip
b
etwe
en
th
e
m
ain
an
d
au
x
iliar
y
win
d
in
g
s
.
T
h
is
p
r
in
cip
le
f
o
r
m
s
th
e
th
eo
r
etica
l b
asis
f
o
r
th
e
FP
GA
im
p
lem
en
tatio
n
p
r
esen
te
d
in
s
ec
tio
n
s
2
.
2
,
2
.
3
,
a
n
d
2
.
4
.
2
.
2
.
F
P
G
A
-
ba
s
ed
pro
g
ra
mm
a
ble ha
rdwa
re
-
def
ined ph
a
s
e
g
ener
a
t
io
n
T
h
e
FP
GA
co
n
tr
o
ller
im
p
le
m
en
ts
th
e
h
ar
d
war
e
-
d
ef
in
ed
p
h
ase
g
en
er
atio
n
p
r
i
n
cip
le
in
tr
o
d
u
ce
d
in
s
ec
tio
n
2
.
1
b
y
d
ig
itally
s
y
n
th
esizin
g
th
e
elec
tr
o
m
ag
n
etic
p
h
ase
r
elatio
n
s
h
ip
b
etwe
en
th
e
m
ain
an
d
au
x
iliar
y
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
6
9
4
F
P
GA
-
b
a
s
ed
h
a
r
d
w
a
r
e
-
d
efin
ed
p
h
a
s
e
g
en
era
tio
n
f
o
r
ca
p
a
c
ito
r
-
less
p
erma
n
en
t
…
(
Ler
tr
a
t P
h
ewn
g
a
m
)
1731
win
d
in
g
ex
citatio
n
s
.
Un
lik
e
co
n
v
en
tio
n
al
d
ig
ital
co
n
tr
o
ller
s
th
at
p
r
im
ar
ily
g
en
er
ate
PW
M
s
ig
n
als
f
o
r
p
o
wer
s
witch
in
g
co
n
tr
o
l,
th
e
p
r
o
p
o
s
ed
im
p
lem
en
tatio
n
d
ir
ec
tly
estab
lis
h
es
th
e
r
eq
u
ir
ed
p
r
o
g
r
am
m
a
b
le
p
h
ase
r
elatio
n
s
h
ip
u
s
in
g
d
eter
m
in
is
t
ic
FP
GA
h
ar
d
war
e
lo
g
ic.
FP
GA
tech
n
o
lo
g
y
is
well
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u
ited
to
th
is
ap
p
licatio
n
b
ec
au
s
e
o
f
its
p
ar
allel
p
r
o
ce
s
s
in
g
ca
p
ab
ilit
y
,
d
eter
m
in
is
tic
tim
in
g
b
eh
av
i
o
r
,
an
d
co
m
p
a
tib
ilit
y
with
p
o
wer
elec
tr
o
n
ic
an
d
m
o
to
r
-
d
r
i
v
e
s
y
s
tem
s
[
6
]
-
[
1
8
]
.
T
h
e
r
esu
lti
n
g
r
o
tatin
g
m
a
g
n
etic
f
ield
estab
lis
h
ed
b
y
th
e
p
r
o
g
r
a
m
m
ab
le
p
h
ase
r
elatio
n
s
h
ip
is
co
n
ce
p
tu
ally
illu
s
tr
ated
in
Fig
u
r
e
2
.
Fig
u
r
e
2
.
Fo
r
m
atio
n
o
f
th
e
r
o
t
atin
g
m
ag
n
etic
f
iel
d
in
a
c
o
n
v
en
tio
n
al
PS
C
m
o
to
r
: (
a)
m
ai
n
win
d
in
g
m
a
g
n
etic
f
ield
B
M
,
(
b
)
au
x
iliar
y
win
d
in
g
m
ag
n
etic
f
ield
B
A
,
(
c)
r
esu
lt
an
t m
ag
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f
ield
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to
r
B
(
t)
,
(
d
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la
r
tr
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r
y
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id
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a
s
e)
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an
d
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ajec
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y
(
p
r
ac
tical
u
s
e)
Pro
g
r
am
m
a
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le
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h
ase
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is
p
lace
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en
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ated
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s
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g
HDL
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ased
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th
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FP
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A
h
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war
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o
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n
t
er
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er
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r
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r
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ci
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y
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h
r
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n
iz
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ex
citatio
n
s
ig
n
als
with
a
p
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n
ed
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h
ase
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n
s
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ip
.
T
h
e
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r
r
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o
n
d
i
n
g
d
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g
ital p
h
ase
d
is
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lace
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en
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p
r
ess
ed
in
(
6
)
.
=
×
360
∘
(
6
)
W
h
er
e
r
ep
r
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ts
th
e
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h
ase
o
f
f
s
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n
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ase
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i
f
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er
en
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r
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g
r
am
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a
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le
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ase
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s
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ip
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n
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e
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ated
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u
t
ch
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g
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g
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y
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ical
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war
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co
m
p
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ts
.
C
o
n
s
eq
u
en
tly
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ex
citatio
n
c
o
n
d
itio
n
s
o
f
6
0
°,
9
0
°,
an
d
1
2
0
°
ar
e
r
ea
lized
to
i
n
v
esti
g
ate
th
e
in
f
lu
en
ce
o
f
p
r
o
g
r
am
m
ab
le
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h
ase
d
is
p
lace
m
en
t
o
n
c
ap
ac
ito
r
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less
PS
C
m
o
to
r
o
p
er
atio
n
.
T
h
e
g
e
n
e
r
at
e
d
p
h
ase
r
e
f
e
r
e
n
c
es
a
r
e
s
u
b
s
e
q
u
e
n
tl
y
c
o
n
v
e
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te
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n
t
o
s
y
n
c
h
r
o
n
i
ze
d
m
u
l
ti
-
c
h
a
n
n
el
PW
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s
ig
n
als
w
it
h
co
m
p
le
m
e
n
t
ar
y
s
witc
h
i
n
g
o
u
t
p
u
ts
.
B
e
ca
u
s
e
a
ll
tim
i
n
g
o
p
e
r
ati
o
n
s
ar
e
ex
ec
u
t
e
d
d
i
r
e
ctl
y
i
n
F
PGA
h
a
r
d
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r
e
l
o
g
ic
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e
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y
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p
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p
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i
n
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e
n
d
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t
o
f
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eq
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l
s
o
f
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r
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e
x
e
cu
ti
o
n
,
in
te
r
r
u
p
t
late
n
cy
,
a
n
d
p
r
o
ce
s
s
o
r
ti
m
i
n
g
v
a
r
i
ati
o
n
s
[
1
1
]
-
[
1
8
]
.
T
h
e
o
v
er
a
ll
p
h
ase
s
y
n
t
h
esis
p
r
o
c
ess
ca
n
b
e
d
esc
r
i
b
e
d
i
n
(
7
)
.
→
ℎ
→
→
(
7
)
T
h
is
FP
GA
im
p
lem
en
tatio
n
p
r
o
v
id
es
d
eter
m
in
is
tic
h
ar
d
w
ar
e
-
d
ef
in
e
d
p
h
ase
g
en
er
atio
n
an
d
co
n
s
titu
tes
th
e
h
ar
d
war
e
im
p
lem
en
tatio
n
o
f
t
h
e
p
r
o
p
o
s
ed
ca
p
ac
ito
r
-
less
PS
C
m
o
to
r
d
r
iv
e
ar
ch
itectu
r
e
.
2
.
3
.
M
ulti
-
cha
nn
el
P
WM
g
e
nera
t
io
n a
nd
ha
rdwa
re
dea
d
-
t
im
e
pro
t
ec
t
io
n
T
h
e
p
r
o
g
r
am
m
ab
le
p
h
ase
r
ef
er
en
ce
s
g
en
er
ated
b
y
th
e
FP
GA
co
n
tr
o
ller
ar
e
co
n
v
er
ted
in
to
s
y
n
ch
r
o
n
ize
d
m
u
lti
-
ch
a
n
n
el
P
W
M
g
ate
-
d
r
iv
in
g
s
ig
n
als
f
o
r
t
h
e
p
o
wer
c
o
n
v
e
r
s
io
n
s
tag
e
w
h
ile
p
r
eser
v
in
g
th
e
r
eq
u
ir
ed
p
h
ase
d
is
p
lace
m
en
t
b
etwe
en
th
e
m
ain
a
n
d
au
x
ili
ar
y
win
d
i
n
g
e
x
citatio
n
s
.
T
h
is
PW
M
g
en
er
atio
n
s
tag
e
p
r
o
v
id
es
th
e
co
n
tr
o
l
in
t
er
f
ac
e
b
etwe
en
t
h
e
FP
GA
-
b
ased
p
h
ase
g
en
e
r
atio
n
m
o
d
u
le
an
d
th
e
in
tellig
en
t
p
o
wer
m
o
d
u
le
(
I
PM)
.
T
h
e
co
n
ce
p
tu
al
tr
an
s
itio
n
f
r
o
m
co
n
v
en
tio
n
al
ca
p
ac
ito
r
-
b
ased
p
h
as
e
s
h
if
tin
g
to
FP
GA
-
b
ased
s
o
f
twar
e
-
d
ef
in
ed
p
h
ase
g
en
er
atio
n
is
illu
s
tr
ated
in
Fig
u
r
e
3
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
1
7
,
No
.
3
,
Sep
tem
b
er
20
2
6
:
172
8
-
1
7
4
6
1732
(
a)
(
b
)
Fig
u
r
e
3
.
C
o
n
ce
p
tu
al
co
m
p
ar
i
s
o
n
b
etwe
en
(
a)
co
n
v
en
tio
n
al
ca
p
ac
ito
r
-
b
ased
a
n
d
(
b
)
s
o
f
twar
e
-
d
ef
in
ed
p
h
ase
g
e
n
er
atio
n
in
PS
C
m
o
to
r
s
Fo
r
r
eliab
le
p
o
wer
-
s
tag
e
o
p
er
atio
n
,
co
m
p
lem
en
tar
y
PW
M
s
ig
n
als
ar
e
g
en
e
r
ated
f
o
r
ea
c
h
s
witch
in
g
leg
.
A
h
ar
d
war
e
d
ea
d
-
tim
e
p
r
o
tectio
n
m
o
d
u
le
is
in
co
r
p
o
r
at
ed
in
to
th
e
FP
GA
lo
g
ic
to
p
r
ev
en
t
s
im
u
ltan
eo
u
s
co
n
d
u
ctio
n
o
f
th
e
u
p
p
e
r
an
d
l
o
wer
s
witch
in
g
d
e
v
ices.
Dea
d
-
tim
e
in
s
er
tio
n
is
a
f
u
n
d
a
m
en
t
al
r
eq
u
ir
em
e
n
t
f
o
r
v
o
ltag
e
-
s
o
u
r
ce
in
v
er
te
r
an
d
p
o
wer
co
n
v
er
ter
o
p
e
r
atio
n
[
2
0
]
,
[
2
3
]
,
[
2
9
]
.
T
h
e
co
m
p
le
m
en
tar
y
s
witch
in
g
r
elatio
n
s
h
ip
with
d
ea
d
-
tim
e
in
s
er
tio
n
is
ex
p
r
ess
ed
in
(
8
)
.
,
(
)
=
,
(
−
Δ
)
‾
(
8
)
W
h
er
e
,
an
d
,
r
ep
r
esen
t
t
h
e
h
ig
h
-
s
id
e
a
n
d
lo
w
-
s
id
e
s
witch
in
g
s
ig
n
als,
r
esp
ec
tiv
ely
,
a
n
d
Δ
r
ep
r
esen
ts
th
e
in
s
er
ted
d
ea
d
-
ti
m
e
in
ter
v
al.
Un
lik
e
s
o
f
twar
e
-
b
ased
PW
M
im
p
lem
en
tatio
n
s
,
PW
M
s
y
n
ch
r
o
n
izatio
n
an
d
d
ea
d
-
tim
e
in
s
er
tio
n
ar
e
ex
ec
u
ted
e
n
tire
ly
in
FP
GA
h
ar
d
war
e
l
o
g
ic.
C
o
n
s
eq
u
en
tl
y
,
s
witch
in
g
tim
in
g
is
in
d
e
p
en
d
en
t
o
f
p
r
o
ce
s
s
o
r
ex
ec
u
tio
n
d
elay
,
i
n
ter
r
u
p
t
laten
cy
,
a
n
d
s
o
f
twar
e
s
ch
ed
u
lin
g
u
n
ce
r
tain
ty
[
1
1
]
,
[
1
2
]
,
[
3
0
]
.
I
n
th
e
im
p
lem
en
ted
m
o
to
r
d
r
iv
e
s
y
s
tem
,
th
e
PW
M
s
witch
in
g
f
r
eq
u
e
n
cy
was
co
n
f
ig
u
r
ed
at
5
k
Hz.
Du
r
in
g
t
h
e
i
n
itial
FP
GA
tim
in
g
v
er
if
icatio
n
,
a
d
ea
d
-
tim
e
o
f
ap
p
r
o
x
im
ately
1
.
5
µs
was
em
p
lo
y
ed
t
o
v
alid
ate
th
e
co
m
p
lem
en
tar
y
PW
M
g
en
er
atio
n
.
Su
b
s
eq
u
en
tly
,
d
u
r
in
g
th
e
T
M
-
3
5
I
PM
-
b
ased
m
o
t
o
r
ex
p
e
r
im
en
ts
,
th
e
d
ea
d
-
tim
e
was
in
cr
ea
s
ed
to
6
µs in
ac
co
r
d
an
ce
with
th
e
o
p
e
r
atin
g
r
eq
u
ir
e
m
en
ts
o
f
th
e
in
tellig
en
t p
o
wer
m
o
d
u
le
to
en
s
u
r
e
r
eliab
le
s
witch
in
g
an
d
p
r
ev
e
n
t
s
h
o
o
t
-
th
r
o
u
g
h
.
T
h
is
s
witch
in
g
f
r
eq
u
en
cy
was
s
elec
ted
to
s
at
is
f
y
th
e
o
p
er
atin
g
ch
ar
ac
ter
is
tics
o
f
th
e
em
p
lo
y
ed
i
n
tellig
en
t
p
o
wer
m
o
d
u
le
wh
ile
e
n
s
u
r
in
g
r
eliab
le
g
ate
-
d
r
iv
in
g
o
p
er
at
io
n
.
T
h
is
h
ar
d
war
e
r
ea
lizatio
n
p
r
o
v
id
es
d
eter
m
i
n
is
tic
s
witch
in
g
b
eh
av
io
r
a
n
d
d
i
r
ec
tly
tr
an
s
lates
th
e
p
r
o
g
r
am
m
ab
le
p
h
ase
r
elatio
n
s
h
ip
in
to
p
r
ac
tical
m
o
t
o
r
ex
citatio
n
f
o
r
ca
p
ac
ito
r
-
less
PS
C
o
p
er
atio
n
.
2
.
4
.
I
P
M
-
ba
s
ed
po
wer
inte
rf
a
ce
a
nd
P
SC m
o
t
o
r
ex
cit
a
t
io
n
T
h
e
FP
GA
-
g
en
er
ated
p
h
ase
-
co
n
tr
o
lled
PW
M
s
ig
n
als
ar
e
in
ter
f
ac
e
d
with
an
in
tellig
en
t
p
o
we
r
m
o
d
u
le
(
I
PM)
to
p
r
o
v
id
e
t
h
e
p
o
wer
ex
citatio
n
r
eq
u
ir
e
d
f
o
r
ca
p
ac
ito
r
-
less
PS
C
m
o
to
r
o
p
er
atio
n
.
T
h
e
I
PM
f
u
n
ctio
n
s
as
th
e
p
o
wer
co
n
v
er
s
io
n
s
tag
e,
tr
an
s
latin
g
lo
w
-
v
o
ltag
e
FP
GA
co
n
tr
o
l
s
ig
n
als
in
to
h
ig
h
-
p
o
wer
s
witch
in
g
o
u
tp
u
ts
ca
p
a
b
le
o
f
e
x
citin
g
th
e
m
ai
n
an
d
au
x
iliar
y
m
o
to
r
win
d
in
g
s
.
T
h
e
o
v
er
all
ex
citatio
n
p
r
in
ci
p
le
im
p
lem
en
ted
th
r
o
u
g
h
th
e
FP
GA
-
I
PM
in
ter
f
ac
e
is
s
u
m
m
ar
ize
d
in
Fig
u
r
e
4
.
I
n
th
e
p
r
o
p
o
s
ed
co
n
f
i
g
u
r
atio
n
,
th
e
m
ain
an
d
au
x
iliar
y
win
d
in
g
s
ar
e
in
d
ep
en
d
e
n
tly
ex
cite
d
th
r
o
u
g
h
FP
GA
-
co
n
tr
o
lled
I
PM
o
u
tp
u
t
s
with
o
u
t
u
s
in
g
th
e
c
o
n
v
e
n
tio
n
al
r
u
n
ca
p
ac
ito
r
[
4
]
,
[
5
]
,
[
3
1
]
.
T
h
e
r
elatio
n
s
h
ip
b
etwe
en
th
e
FP
GA
co
n
tr
o
ller
,
I
PM
s
tag
e,
an
d
PS
C
m
o
to
r
ca
n
b
e
r
e
p
r
esen
ted
in
(
9
)
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
6
9
4
F
P
GA
-
b
a
s
ed
h
a
r
d
w
a
r
e
-
d
efin
ed
p
h
a
s
e
g
en
era
tio
n
f
o
r
ca
p
a
c
ito
r
-
less
p
erma
n
en
t
…
(
Ler
tr
a
t P
h
ewn
g
a
m
)
1733
→
→
(
,
)
→
(
,
)
(
9
)
W
h
er
e
an
d
r
ep
r
esen
t
th
e
s
y
n
th
esized
ex
citatio
n
v
o
ltag
es
ap
p
lied
to
th
e
m
ain
an
d
au
x
il
iar
y
win
d
in
g
s
,
r
esp
ec
tiv
ely
,
wh
ile
an
d
r
ep
r
e
s
en
t th
e
co
r
r
esp
o
n
d
in
g
m
ea
s
u
r
ed
win
d
in
g
cu
r
r
e
n
ts
.
T
h
e
p
r
o
g
r
a
m
m
a
b
le
p
h
ase
r
el
a
tio
n
s
h
i
p
g
en
er
at
ed
b
y
t
h
e
FP
GA
co
n
t
r
o
ll
er
d
et
e
r
m
i
n
es
t
h
e
e
x
c
itat
io
n
tim
i
n
g
b
et
wee
n
th
e
tw
o
w
in
d
i
n
g
s
.
H
o
w
e
v
e
r
,
b
e
ca
u
s
e
t
h
e
m
ai
n
an
d
au
x
i
lia
r
y
wi
n
d
i
n
g
s
p
o
s
s
ess
d
i
f
f
er
e
n
t
ele
ctr
ic
al
c
h
a
r
a
ct
er
is
tics
,
t
h
e
r
e
s
u
lt
in
g
c
u
r
r
e
n
t
p
h
ase
r
el
ati
o
n
s
h
i
p
d
e
p
e
n
d
s
n
o
t
o
n
l
y
o
n
t
h
e
a
p
p
li
ed
v
o
lt
a
g
e
p
h
ase
d
is
p
la
ce
m
e
n
t
b
u
t
als
o
o
n
t
h
e
w
in
d
i
n
g
im
p
ed
a
n
ce
ch
ar
a
cte
r
is
t
ics
[
2
4
]
-
[
2
8
]
.
C
o
n
s
e
q
u
en
t
ly
,
e
x
p
e
r
i
m
e
n
ta
l
v
al
id
ati
o
n
was
p
e
r
f
o
r
m
ed
b
y
m
ea
s
u
r
i
n
g
t
h
e
ac
t
u
a
l
wi
n
d
in
g
cu
r
r
e
n
ts
u
n
d
e
r
ca
p
a
cit
o
r
-
less
o
p
e
r
a
ti
n
g
c
o
n
d
iti
o
n
s
.
T
h
e
im
p
lem
e
n
ted
h
ar
d
wa
r
e
p
latf
o
r
m
co
n
s
is
ted
o
f
a
T
an
g
Nan
o
4
K
FP
GA
co
n
tr
o
ller
,
a
T
M
-
35
in
tellig
en
t
p
o
wer
m
o
d
u
le,
an
d
a
ca
p
ac
ito
r
-
less
PS
C
m
o
to
r
.
E
x
p
er
im
e
n
tal
m
ea
s
u
r
em
en
t
s
wer
e
co
n
d
u
cted
u
n
d
er
d
if
f
er
e
n
t
p
r
o
g
r
am
m
ab
le
p
h
ase
r
elatio
n
s
h
ip
s
an
d
o
p
er
atin
g
f
r
eq
u
en
cies
to
in
v
esti
g
ate
th
e
in
f
lu
en
ce
o
f
h
ar
d
war
e
-
d
ef
in
ed
p
h
ase
ex
citatio
n
o
n
win
d
in
g
cu
r
r
en
t
b
eh
av
io
r
.
T
h
e
m
ea
s
u
r
e
d
win
d
in
g
cu
r
r
en
ts
wer
e
s
u
b
s
eq
u
en
tly
u
s
ed
f
o
r
m
ag
n
eti
c
f
ield
r
ec
o
n
s
tr
u
ctio
n
a
n
d
q
u
a
n
titativ
e
elec
tr
o
m
ag
n
etic
e
v
alu
atio
n
,
as
d
escr
ib
e
d
in
s
ec
tio
n
2
.
5
.
Fig
u
r
e
4
.
Ma
th
e
m
atica
l r
ep
r
es
en
tatio
n
o
f
s
o
f
twar
e
-
d
ef
i
n
ed
p
h
ase
g
en
er
atio
n
f
o
r
ca
p
ac
ito
r
-
l
ess
PS
C
m
o
to
r
s
:
(
a)
s
y
n
th
esized
m
ain
win
d
in
g
v
o
ltag
e
v
ₘ(
t
)
,
(
b
)
s
y
n
th
esized
au
x
iliar
y
win
d
in
g
v
o
ltag
e
v
ₐ(
t
)
,
(
c)
s
o
f
twar
e
-
d
e
f
in
ed
p
h
ase
an
g
le
φₛ r
ep
r
esen
ted
u
s
in
g
p
h
aso
r
d
iag
r
am
s
,
a
n
d
(
d
)
r
esu
ltan
t r
o
tatin
g
m
a
g
n
etic
f
ield
tr
ajec
to
r
ies f
o
r
d
if
f
e
r
en
t
v
alu
es o
f
φₛ
2
.
5
.
Wind
ing
-
curr
ent
-
ba
s
ed
m
a
g
net
ic
f
ield e
v
a
lua
t
io
n
Alth
o
u
g
h
th
e
FP
GA
co
n
tr
o
ller
g
en
er
ates
a
p
r
ed
ef
in
ed
v
o
lta
g
e
p
h
ase
d
is
p
lace
m
en
t
b
etwe
en
th
e
m
ain
an
d
au
x
iliar
y
win
d
in
g
e
x
citatio
n
s
,
th
e
r
esu
ltin
g
elec
tr
o
m
a
g
n
etic
b
eh
av
io
r
o
f
a
PS
C
m
o
to
r
is
d
eter
m
in
ed
b
y
th
e
co
r
r
esp
o
n
d
i
n
g
win
d
in
g
c
u
r
r
en
ts
b
ec
a
u
s
e
o
f
th
e
d
if
f
er
e
n
t
elec
tr
ical
ch
ar
ac
ter
is
tics
o
f
th
e
two
win
d
in
g
s
[
2
4
]
-
[
2
8
]
.
T
h
er
ef
o
r
e,
th
e
m
ea
s
u
r
ed
win
d
in
g
cu
r
r
en
ts
wer
e
u
s
ed
as
th
e
b
asis
f
o
r
e
v
alu
atin
g
t
h
e
ef
f
ec
ti
v
en
ess
o
f
th
e
p
r
o
p
o
s
ed
h
ar
d
war
e
-
d
ef
in
e
d
p
h
ase
g
en
er
atio
n
ap
p
r
o
ac
h
.
Fig
u
r
e
5
illu
s
tr
ates
h
o
w
d
if
f
er
en
t
p
r
o
g
r
a
m
m
ab
le
p
h
ase
r
elatio
n
s
h
ip
s
m
o
d
if
y
th
e
r
ec
o
n
s
tr
u
cted
m
ag
n
etic
f
ield
tr
ajec
to
r
y
f
r
o
m
ellip
tical
to
n
ea
r
ly
cir
cu
lar
.
Un
d
er
th
e
ass
u
m
ed
lin
ea
r
m
a
g
n
etic
o
p
er
atin
g
r
eg
io
n
,
th
e
m
ag
n
etic
f
ield
g
en
e
r
ated
b
y
ea
ch
s
tato
r
win
d
in
g
is
ap
p
r
o
x
im
ately
p
r
o
p
o
r
tio
n
al
to
its
ex
citatio
n
cu
r
r
en
t.
T
h
er
ef
o
r
e,
th
e
m
ea
s
u
r
ed
win
d
in
g
cu
r
r
e
n
ts
p
r
o
v
id
e
a
p
r
ac
tical
b
asis
f
o
r
r
ec
o
n
s
tr
u
ctin
g
th
e
r
esu
ltan
t
m
ag
n
etic
f
ield
tr
ajec
to
r
y
.
T
h
e
m
ag
n
etic
f
ield
co
m
p
o
n
en
ts
p
r
o
d
u
ce
d
b
y
th
e
m
ain
an
d
au
x
iliar
y
win
d
in
g
s
wer
e
esti
m
ated
f
r
o
m
th
e
m
ea
s
u
r
ed
win
d
in
g
cu
r
r
en
ts
ac
co
r
d
in
g
to
(
1
0
)
an
d
(
1
1
)
.
(
)
=
(
)
(
1
0
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
1
7
,
No
.
3
,
Sep
tem
b
er
20
2
6
:
172
8
-
1
7
4
6
1734
(
)
=
(
)
(
1
1
)
W
h
er
e
(
)
an
d
(
)
r
ep
r
esen
t
th
e
m
ag
n
etic
f
ield
co
m
p
o
n
e
n
ts
g
en
er
ated
b
y
th
e
m
ain
an
d
a
u
x
iliar
y
win
d
in
g
s
,
r
esp
ec
tiv
ely
.
(
)
an
d
(
)
ar
e
th
e
m
ea
s
u
r
ed
win
d
i
n
g
cu
r
r
en
ts
,
wh
ile
an
d
r
ep
r
esen
t
th
e
co
r
r
esp
o
n
d
in
g
win
d
in
g
m
ag
n
etic
co
ef
f
icien
ts
.
T
h
e
r
ec
o
n
s
t
r
u
cted
r
esu
ltan
t
m
ag
n
etic
f
iel
d
tr
ajec
to
r
y
ca
n
b
e
ex
p
r
ess
ed
as
(
1
2
)
.
⃗
(
)
=
(
)
̂
+
(
)
̂
(
1
2
)
W
h
er
e
̂
an
d
̂
r
e
p
r
esen
t
th
e
o
r
th
o
g
o
n
al
m
ag
n
etic
ax
es
ass
o
ciate
d
with
th
e
m
ain
an
d
a
u
x
iliar
y
win
d
in
g
s
,
r
esp
ec
tiv
ely
.
(
a)
(
b
)
(
c)
Fig
u
r
e
5
.
R
o
tatin
g
m
ag
n
etic
f
i
eld
tr
ajec
to
r
ies u
n
d
e
r
d
if
f
e
r
en
t
s
o
f
twar
e
-
d
ef
in
e
d
p
h
ase
a
n
g
le
s
:
(
a)
ellip
tical
m
ag
n
etic
f
ield
t
r
a
jecto
r
y
f
o
r
φ
=
6
0
°,
(
b
)
cir
cu
la
r
m
ag
n
etic
f
ield
tr
ajec
to
r
y
f
o
r
φ
=
9
0
°,
an
d
(
c)
ellip
tical
m
ag
n
etic
f
iel
d
tr
ajec
to
r
y
f
o
r
φ
=
1
2
0
°
T
o
q
u
an
titativ
ely
ev
alu
ate
th
e
r
ec
o
n
s
tr
u
cted
m
ag
n
etic
f
ield
u
n
d
er
d
i
f
f
er
en
t
p
r
o
g
r
am
m
a
b
le
p
h
ase
r
elatio
n
s
h
ip
s
,
th
e
C
I
an
d
E
R
wer
e
em
p
lo
y
ed
.
A
b
ala
n
ce
d
m
ag
n
etic
f
ield
p
r
o
d
u
ce
s
a
n
ea
r
ly
cir
cu
lar
tr
ajec
to
r
y
,
wh
er
ea
s
p
h
ase
o
r
am
p
litu
d
e
i
m
b
alan
ce
r
esu
lts
in
a
n
ellip
ti
ca
l
tr
ajec
to
r
y
[2
4
]
-
[
2
8
]
.
T
h
e
cir
cu
lar
ity
in
d
e
x
is
d
ef
in
ed
in
(
1
3
)
.
=
(
1
3
)
W
h
er
e
an
d
r
ep
r
esen
t
th
e
m
a
x
im
u
m
an
d
m
in
im
u
m
m
ag
n
itu
d
es
o
f
th
e
r
ec
o
n
s
tr
u
cted
m
a
g
n
etic
f
ield
tr
ajec
to
r
y
.
A
C
I
v
alu
e
ap
p
r
o
a
ch
in
g
u
n
ity
in
d
icate
s
a
m
o
r
e
cir
cu
lar
r
o
tatin
g
m
ag
n
etic
f
ie
ld
.
T
h
e
E
llip
ticity
R
atio
is
ca
lcu
lated
in
(
1
4
)
.
=
(
1
4
)
A
lo
wer
E
R
v
alu
e
in
d
icate
s
r
ed
u
ce
d
m
a
g
n
etic
f
ield
d
is
to
r
ti
o
n
an
d
im
p
r
o
v
ed
r
o
tatin
g
f
iel
d
b
alan
ce
.
Usi
n
g
th
is
ev
alu
atio
n
m
eth
o
d
,
th
e
in
f
lu
en
ce
o
f
d
if
f
er
e
n
t
h
ar
d
war
e
-
d
ef
in
e
d
p
h
ase
r
elatio
n
s
h
ip
s
o
n
ca
p
ac
ito
r
-
less
P
SC
m
o
to
r
o
p
er
atio
n
c
an
b
e
q
u
a
n
titativ
ely
an
aly
ze
d
b
ey
o
n
d
v
o
ltag
e
wav
ef
o
r
m
v
er
if
icatio
n
.
T
h
e
r
ec
o
n
s
tr
u
cted
m
ag
n
etic
f
iel
d
ch
ar
ac
te
r
is
tics
p
r
o
v
id
e
d
ir
ec
t
in
s
ig
h
t
i
n
to
t
h
e
r
el
atio
n
s
h
ip
b
etwe
en
p
r
o
g
r
a
m
m
ab
le
p
h
ase
ex
citatio
n
,
win
d
in
g
cu
r
r
en
t
r
esp
o
n
s
e,
an
d
o
v
er
all
elec
tr
o
m
ag
n
etic
p
er
f
o
r
m
an
ce
.
T
h
e
r
esu
ltin
g
q
u
a
n
titativ
e
ev
alu
atio
n
is
p
r
esen
ted
a
n
d
d
is
cu
s
s
ed
in
s
ec
tio
n
4
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
6
9
4
F
P
GA
-
b
a
s
ed
h
a
r
d
w
a
r
e
-
d
efin
ed
p
h
a
s
e
g
en
era
tio
n
f
o
r
ca
p
a
c
ito
r
-
less
p
erma
n
en
t
…
(
Ler
tr
a
t P
h
ewn
g
a
m
)
1735
3
.
E
XP
E
R
I
M
E
N
T
A
L
SE
T
UP
AND
VAL
I
DA
T
I
O
N
M
E
T
H
O
D
3
.
1
.
H
a
rdwa
re
ex
perim
ent
a
l pla
t
f
o
rm
T
h
e
ex
p
er
im
en
tal
p
latf
o
r
m
was
d
ev
elo
p
ed
to
v
alid
ate
th
e
p
r
o
p
o
s
ed
h
ar
d
war
e
-
d
e
f
in
ed
p
h
ase
g
en
er
atio
n
ap
p
r
o
ac
h
f
o
r
ca
p
a
cito
r
-
less
PS
C
m
o
to
r
o
p
er
ati
o
n
,
as
s
h
o
wn
in
Fig
u
r
e
6
.
T
h
e
o
v
e
r
all
s
y
s
tem
co
n
s
is
ts
o
f
an
FP
GA
co
n
tr
o
ller
,
an
in
tellig
en
t
p
o
wer
m
o
d
u
le
(
I
PM)
-
b
ased
p
o
wer
in
ter
f
a
ce
,
a
ca
p
ac
ito
r
-
less
PS
C
m
o
to
r
,
an
d
m
ea
s
u
r
em
en
t
in
s
tr
u
m
en
ts
(
d
ig
ital
lo
g
ic
an
al
y
ze
r
,
o
s
cillo
s
co
p
e,
d
if
f
e
r
en
tial
p
r
o
b
e,
an
d
cu
r
r
en
t
p
r
o
b
e)
f
o
r
elec
tr
ical
an
d
tim
in
g
v
er
if
icatio
n
.
Fig
u
r
e
6
.
E
x
p
er
im
e
n
tal
h
ar
d
w
ar
e
p
latf
o
r
m
f
o
r
th
e
p
r
o
p
o
s
ed
ca
p
ac
ito
r
-
less
PS
C
m
o
to
r
d
r
iv
e
T
h
e
co
n
tr
o
ller
was
im
p
lem
e
n
ted
o
n
a
T
an
g
Nan
o
4
K
F
PGA
u
s
in
g
Ver
ilo
g
HDL
to
g
en
er
ate
p
r
o
g
r
a
m
m
ab
le
p
h
ase
r
elatio
n
s
h
ip
s
,
s
y
n
ch
r
o
n
ized
m
u
lti
-
ch
an
n
el
PW
M
s
ig
n
als,
an
d
h
a
r
d
war
e
d
ea
d
-
tim
e
in
s
er
tio
n
[
6
]
-
[
2
3
]
,
[
2
9
]
,
[
3
0
]
.
T
h
e
g
en
er
ated
PW
M
s
ig
n
als
wer
e
s
u
p
p
lied
to
a
T
M
-
3
5
in
tellig
en
t
p
o
wer
m
o
d
u
le
(
I
PM)
,
wh
ich
in
ter
f
ac
ed
th
e
lo
w
-
v
o
ltag
e
FP
GA
co
n
tr
o
l
s
ig
n
als
with
th
e
PS
C
m
o
t
o
r
b
y
in
d
e
p
en
d
e
n
tly
ex
citin
g
th
e
m
ain
an
d
a
u
x
iliar
y
win
d
in
g
s
.
T
h
e
c
o
n
v
e
n
tio
n
al
r
u
n
ca
p
ac
ito
r
was
r
em
o
v
e
d
,
an
d
th
e
r
e
q
u
ir
e
d
p
h
ase
r
elatio
n
s
h
ip
was
g
en
er
ated
elec
tr
o
n
ically
t
h
r
o
u
g
h
th
e
p
r
o
p
o
s
ed
h
ar
d
war
e
-
d
ef
i
n
e
d
p
h
ase
g
en
er
atio
n
ar
ch
itectu
r
e.
T
h
e
h
ar
d
war
e
c
o
n
f
ig
u
r
atio
n
a
n
d
ex
p
er
im
en
ta
l
p
ar
am
eter
s
em
p
lo
y
ed
f
o
r
th
e
v
alid
atio
n
o
f
th
e
p
r
o
p
o
s
ed
FP
GA
-
b
ased
ca
p
ac
ito
r
-
less
PS
C
m
o
to
r
d
r
iv
e
a
r
e
s
u
m
m
ar
ized
in
T
ab
le
2
.
T
h
e
ex
p
er
im
en
tal
co
n
f
ig
u
r
atio
n
ca
n
b
e
s
u
m
m
a
r
i
ze
d
as
(
1
5
)
.
4
→
-
35
→
-
(
1
5
)
Du
r
in
g
th
e
ex
p
e
r
im
en
ts
,
FP
GA
tim
in
g
ch
ar
ac
ter
is
tics
wer
e
v
er
if
ied
u
s
in
g
a
lo
g
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