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h
o
d
is
th
e
o
n
e
c
h
o
s
e
n
.
R
i
g
h
t
ah
ea
d
,
t
h
e
ex
i
s
ti
n
g
p
r
in
cip
al
w
o
r
k
s
in
th
e
s
cie
n
ti
f
ic
l
iter
atu
r
e
b
ased
o
n
th
e
s
elec
tio
n
o
f
th
is
m
et
h
o
d
ar
e
co
m
m
e
n
ted
o
n
.
On
e
o
f
th
e
f
ir
s
t
w
o
r
k
s
r
ep
o
r
ted
in
t
h
e
s
cie
n
ti
f
ic
liter
at
u
r
e
was
b
y
Nata
r
aj
an
a
n
d
Misra
[
1
5
]
.
I
t
u
s
es
th
e
i
n
f
o
r
m
atio
n
f
o
r
t
h
r
ee
d
if
f
e
r
en
t
lo
ad
s
tates
b
u
t
m
a
k
es
s
o
m
e
s
i
m
p
li
f
icat
io
n
s
r
elat
iv
e
to
th
e
co
n
s
id
er
atio
n
o
f
th
e
m
a
g
n
etizi
n
g
b
r
an
c
h
an
d
less
e
n
s
th
e
v
o
ltag
e
d
r
o
p
o
n
th
e
s
tato
r
as
w
ell
as
th
e
s
at
u
r
atio
n
an
d
th
e
s
k
in
e
f
f
ec
t.
T
h
e
p
r
o
p
o
s
al
th
at
ap
p
ea
r
s
in
[
1
6
]
f
o
r
th
e
r
elatio
n
b
et
w
ee
n
th
e
leak
a
g
e
r
ea
ctan
ce
o
f
t
h
e
s
tato
r
an
d
o
n
e
o
f
th
e
r
o
to
r
s
is
ad
o
p
ted
.
A
l
m
o
s
t
s
i
m
u
lta
n
eo
u
s
l
y
w
i
th
t
h
is
w
o
r
k
,
an
o
t
h
er
o
n
e
m
ad
e
b
y
An
s
u
j
,
Sh
o
k
o
o
,
an
d
Sch
in
zig
er
[
1
7
]
w
a
s
p
r
esen
ted
.
I
n
t
h
is
later
w
o
r
k
,
a
m
e
th
o
d
o
lo
g
y
b
ased
o
n
a
s
e
n
s
i
tiv
it
y
an
a
l
y
s
is
w
as
ex
p
o
s
ed
b
u
t
h
as
th
e
d
i
f
f
ic
u
lt
y
o
f
n
ee
d
i
n
g
th
e
eq
u
atio
n
s
th
a
t
i
n
ter
r
elate
th
e
b
eh
av
io
r
al
c
h
ar
ac
ter
is
tic
s
an
d
p
ar
a
m
eter
s
o
f
th
e
m
o
to
r
.
T
h
e
id
en
tif
ica
tio
n
m
et
h
o
d
o
f
m
a
x
i
m
u
m
li
k
eli
h
o
o
d
an
d
th
e
m
i
n
i
m
u
m
v
ar
ian
ce
cr
iter
ia
ar
e
u
s
ed
to
o
b
tain
th
e
p
ar
a
m
eter
s
.
So
m
e
y
ea
r
s
later
,
Haq
u
e
[
1
8
]
p
r
esen
ted
an
iter
ativ
e
p
r
o
ce
ed
in
g
b
ased
o
n
t
h
e
s
o
lu
t
io
n
o
f
a
n
eq
u
atio
n
s
y
s
te
m
d
ed
u
ce
d
f
r
o
m
th
e
eq
u
i
v
alen
t
cir
c
u
it.
T
h
e
m
a
g
n
et
izin
g
r
ea
cta
n
ce
w
a
s
ca
lc
u
lated
f
r
o
m
a
r
ea
ctiv
e
p
o
w
e
r
b
alan
ce
o
n
t
h
e
m
o
to
r
.
I
t
n
e
g
le
cts
t
h
e
ad
d
itio
n
al
lo
s
s
e
s
an
d
c
o
n
s
id
er
s
co
n
s
ta
n
t
m
ec
h
an
ical
lo
s
s
es.
T
h
e
d
i
v
is
io
n
b
et
w
ee
n
th
e
s
tato
r
an
d
r
o
to
r
le
ak
ag
e
r
ea
c
ta
n
ce
is
m
ad
e
s
i
m
il
ar
l
y
as Na
tar
aj
an
an
d
Misra
[
1
5
]
d
id
.
Mo
tiv
ated
b
y
th
e
n
ec
es
s
it
y
o
f
m
a
k
in
g
a
m
o
d
el
o
f
t
h
e
i
n
d
u
ctio
n
m
o
to
r
in
t
h
e
elec
tr
o
m
a
g
n
eti
c
tr
an
s
ie
n
ts
p
r
o
g
r
a
m
(
E
MT
P
)
f
o
r
s
tatio
n
ar
y
a
s
w
ell
a
s
a
t
r
an
s
ie
n
t
s
ta
te,
a
m
o
d
el
w
i
th
its
co
r
r
esp
o
n
d
in
g
p
ar
am
eter
s
w
as
p
r
esen
ted
,
ta
k
in
g
u
n
d
er
co
n
s
id
er
atio
n
t
h
e
v
ar
iatio
n
o
f
th
e
p
ar
a
m
eter
s
o
f
t
h
e
r
o
to
r
f
o
r
d
o
u
b
le
ca
g
e
an
d
d
ee
p
b
ar
s
m
o
to
r
s
.
T
h
is
li
n
e
w
a
s
d
ev
elo
p
ed
b
y
J
o
aq
u
i
m
P
ed
r
á
f
r
o
m
t
h
e
“
Un
iv
er
s
id
ad
Po
litécn
ica
d
e
C
atal
u
n
y
a”
[
1
9
-
21]
.
T
h
is
s
a
m
e
p
r
o
b
lem
,
t
h
e
n
ec
es
s
it
y
o
f
co
n
s
id
er
in
g
th
e
p
ar
a
m
eter
s
v
a
r
iatio
n
f
o
r
tr
an
s
ie
n
t
an
al
y
s
is
,
is
o
b
s
er
v
ed
i
n
[
2
2
]
co
n
s
id
er
in
g
t
h
e
s
a
m
e
co
n
v
e
n
tio
n
al
eq
u
i
v
ale
n
t
cir
cu
i
t,
b
u
t
m
a
k
i
n
g
t
h
e
r
o
to
r
p
ar
am
eter
s
a
f
u
n
c
tio
n
o
f
t
h
e
s
lip
.
I
n
[
2
3
]
P
ed
r
á
an
d
h
is
w
o
r
k
i
n
g
g
r
o
u
p
ex
p
o
s
e
t
h
e
w
a
y
o
n
w
h
ic
h
th
e
s
at
u
r
atio
n
o
n
t
h
e
r
ea
ctan
c
e
o
f
th
e
m
ac
h
i
n
e
is
co
n
s
id
er
e
d
an
d
in
[
2
4
]
th
e
v
ar
iat
io
n
o
f
th
e
m
ec
h
a
n
ical
a
n
d
ad
d
itio
n
al
lo
s
s
es a
b
o
u
t t
h
e
v
ar
iatio
n
o
f
t
h
e
s
p
ee
d
an
d
cu
r
r
en
t
ar
e
tak
en
i
n
to
co
n
s
id
er
atio
n
.
On
e
o
f
t
h
e
m
o
r
e
r
ec
e
n
t
a
n
d
co
m
p
lete
w
o
r
k
s
o
n
t
h
i
s
i
s
s
u
e
w
a
s
ca
r
r
ied
b
y
a
g
r
o
u
p
o
f
r
esear
c
h
er
s
f
r
o
m
th
e
“
U
n
iv
er
s
id
ad
Fed
er
al
d
e
I
t
aj
u
b
a”
,
in
B
r
az
il,
an
d
ap
p
ea
r
s
in
[
2
5
]
.
T
h
e
in
f
o
r
m
atio
n
o
n
th
e
ef
f
icien
c
y
v
alu
e
s
,
th
e
p
o
w
er
f
ac
to
r
,
an
d
cu
r
r
en
t
f
o
r
n
o
m
i
n
al
p
o
w
er
as
w
ell
as
7
5
%
an
d
5
0
%
o
f
th
is
n
o
m
i
n
al
p
o
w
er
ar
e
s
u
p
p
o
s
ed
to
b
e
k
n
o
w
n
.
T
h
is
w
o
r
k
s
tar
ts
b
y
s
u
p
p
o
s
in
g
th
at
i
n
th
e
m
ag
n
etic
b
r
an
c
h
r
esis
ta
n
ce
th
e
m
ec
h
an
ica
l
an
d
ad
d
itio
n
al
lo
s
s
es
ar
e
p
r
esen
t.
T
h
is
is
,
to
o
u
r
u
n
d
er
s
ta
n
d
i
n
g
,
t
h
e
b
i
g
g
e
s
t
s
o
u
r
ce
o
f
er
r
o
r
o
f
th
is
m
et
h
o
d
esp
ec
iall
y
o
n
w
h
at
is
r
ef
er
r
e
d
to
as
th
e
ad
d
itio
n
al
lo
s
s
es,
w
h
ich
ar
e
n
o
t
co
n
s
tan
t
b
u
t
d
ep
en
d
o
n
th
e
lo
ad
.
On
e
o
f
it
s
m
o
s
t
i
m
p
o
r
ta
n
t
r
es
u
lts
i
s
t
h
e
ap
p
licatio
n
an
d
v
ali
d
atio
n
o
f
th
e
m
et
h
o
d
o
lo
g
y
o
n
h
u
n
d
r
ed
s
o
f
m
o
to
r
s
as
w
e
ll
as
t
h
e
elab
o
r
atio
n
o
f
p
er
u
n
it
c
h
ar
ac
ter
is
tic
s
cu
r
v
es
o
f
th
e
eq
u
i
v
ale
n
t
cir
cu
it
p
ar
am
eter
s
as
a
f
u
n
ctio
n
o
f
th
e
m
o
t
o
r
p
o
w
er
.
I
n
[
2
6
]
s
o
m
e
u
n
i
v
er
s
it
ies
a
n
d
r
esear
ch
ce
n
ter
s
f
r
o
m
B
r
az
il
m
ad
e
a
co
m
p
ar
is
o
n
b
et
w
ee
n
th
e
m
a
i
n
d
atash
ee
t
p
ar
a
m
eter
s
d
eter
m
i
n
atio
n
m
et
h
o
d
s
,
h
i
g
h
li
g
h
t
in
g
its
r
o
b
u
s
t
n
es
s
an
d
s
i
m
p
lici
t
y
,
an
d
p
r
o
p
o
s
e
a
n
e
w
o
n
e
th
at,
as
t
h
e
y
clai
m
,
ta
k
es
t
h
e
b
est
f
r
o
m
th
e
o
t
h
er
o
n
e
s
.
I
t
is
a
n
iter
ati
v
e
m
et
h
o
d
th
at
d
o
es
n
o
t
co
n
s
id
er
an
y
s
p
ec
if
ic
p
ar
a
m
e
ter
f
o
r
th
e
ad
d
itio
n
al
lo
s
s
es.
I
n
t
h
e
ca
s
e
o
f
lo
w
v
o
ltag
e
m
o
to
r
s
,
th
e
o
n
l
y
in
f
o
r
m
at
io
n
av
a
ilab
le
is
th
e
o
n
e
p
r
o
v
id
ed
b
y
t
h
e
m
an
u
f
ac
t
u
r
er
's
d
atash
ee
t.
I
n
th
is
ca
s
e,
th
e
s
tato
r
r
esis
ta
n
c
e
is
u
n
k
n
o
w
n
,
an
d
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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I
n
t J
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lec
&
C
o
m
p
E
n
g
,
Vo
l.
10
,
No
.
6
,
Dec
em
b
er
2
0
2
0
:
6
1
6
4
-
6
1
7
1
6166
th
e
p
ar
a
m
eter
s
m
u
s
t
b
e
ca
lcu
l
ated
f
r
o
m
as
s
u
m
p
tio
n
s
m
ad
e
o
f
th
e
co
r
e
,
m
ec
h
a
n
ical
a
n
d
ad
d
itio
n
al
lo
s
s
es,
an
d
b
y
p
er
f
o
r
m
in
g
a
n
en
er
g
y
b
ala
n
ce
,
th
i
s
r
esis
ta
n
ce
t
h
an
ca
n
b
e
d
eter
m
i
n
ed
as it a
p
p
ea
r
s
in
[
2
2
]
.
Me
d
iu
m
-
v
o
ltag
e,
h
i
g
h
-
p
o
w
er
m
o
to
r
s
ar
e
m
ad
e
to
o
r
d
er
,
an
d
th
e
m
a
n
u
f
ac
t
u
r
er
p
r
o
v
id
es
m
o
r
e
co
m
p
lete
i
n
f
o
r
m
atio
n
alo
n
g
with
t
h
e
m
o
to
r
,
in
cl
u
d
i
n
g
t
h
e
v
a
lu
e
o
f
t
h
e
s
tato
r
r
esi
s
tan
ce
a
n
d
th
e
ef
f
icie
n
c
y
an
d
p
o
w
er
f
ac
to
r
f
o
r
d
if
f
er
en
t
lo
a
d
s
t
ates.
I
n
s
o
m
e
ca
s
es,
th
e
r
esis
ta
n
ce
o
f
th
e
s
tato
r
is
n
o
t
g
i
v
en
,
b
u
t
t
h
e
n
o
-
lo
ad
cu
r
r
en
t
is
g
iv
e
n
.
B
y
h
a
v
i
n
g
m
o
r
e
in
f
o
r
m
atio
n
,
it
is
p
o
s
s
ib
le
to
u
s
e
an
eq
u
i
v
ale
n
t
cir
cu
it
o
n
w
h
ich
ea
c
h
t
y
p
e
o
f
th
e
lo
s
s
e
s
(
co
n
v
e
n
tio
n
al,
v
ar
i
ab
les,
an
d
ad
d
itio
n
al)
is
lo
ca
ted
o
n
a
d
if
f
er
en
t
r
esis
tan
ce
.
T
h
e
ex
p
lan
atio
n
an
d
v
alid
atio
n
o
f
t
h
i
s
eq
u
i
v
alen
t
cir
cu
it
is
t
h
e
s
u
b
j
ec
t
o
f
th
is
w
o
r
k
.
Sect
io
n
2
p
r
esen
ts
t
h
e
eq
u
iv
ale
n
t
cir
cu
it,
h
o
w
lo
s
s
e
s
ar
e
co
n
s
id
er
ed
,
an
d
th
e
d
e
s
cr
ip
tio
n
o
f
th
e
alg
o
r
ith
m
to
d
eter
m
i
n
e
t
h
e
p
ar
am
eter
s
.
I
n
s
ec
tio
n
3
th
e
m
e
th
o
d
is
v
alid
ated
b
y
ap
p
l
y
i
n
g
it to
a
ca
s
e
s
tu
d
y
a
n
d
in
s
ec
tio
n
4
th
e
co
n
c
lu
s
io
n
s
ar
e
p
r
esen
ted
.
2.
RE
S
E
ARCH
M
E
T
H
O
D
2
.
1
.
P
r
o
po
s
ed
equiv
a
lent
circ
uit
s
t
ruct
ure
a
nd
co
ns
i
dera
t
io
n o
f
t
he
lo
s
s
es
Fig
u
r
e
2
s
h
o
w
s
t
h
e
eq
u
iv
a
len
t
cir
cu
it
f
o
r
m
ed
iu
m
v
o
ltag
e
an
d
h
i
g
h
-
p
o
w
er
m
o
to
r
s
.
T
h
e
d
if
f
er
e
n
ce
b
et
w
ee
n
t
h
e
cir
cu
it
o
f
F
ig
u
r
e
1
is
in
t
w
o
a
s
p
ec
ts
.
T
h
e
f
ir
s
t
i
s
th
e
ad
d
itio
n
o
f
t
h
e
r
esi
s
ta
n
ce
R
ad
w
h
er
e
a
p
o
w
er
eq
u
al
to
th
e
ad
d
itio
n
al
lo
s
s
e
s
is
co
n
s
id
er
ed
,
th
e
s
ec
o
n
d
,
th
at
in
t
h
e
r
esi
s
tan
ce
R
m
is
c
o
n
s
id
er
in
g
n
o
t
o
n
l
y
th
e
co
r
e
lo
s
s
es
b
u
t
also
th
e
m
ec
h
an
ica
l
lo
s
s
es.
T
h
is
ca
u
s
es
t
h
e
o
u
tp
u
t
p
o
w
er
o
f
th
e
m
o
to
r
to
b
e
c
o
n
s
id
er
ed
o
n
th
e
R
2
(1
-
s
)
/s
r
esi
s
ta
n
ce
in
s
te
ad
o
f
th
e
p
o
w
er
co
n
v
er
ted
in
t
o
co
m
p
lete
m
ec
h
a
n
ical
f
o
r
m
as
in
th
e
cir
c
u
it
o
f
Fig
u
r
e
1
.
I
t
is
p
o
s
s
ib
le,
w
it
h
o
n
l
y
t
h
e
cir
c
u
it o
f
Fi
g
u
r
e
2
,
to
c
ar
r
y
o
u
t a
t
h
o
r
o
u
g
h
e
n
er
g
y
e
f
f
icien
c
y
a
n
al
y
s
is
.
Fig
u
r
e
2
.
T
h
e
eq
u
iv
alen
t c
ir
c
u
it f
o
r
m
ed
iu
m
v
o
ltag
e
a
n
d
g
r
e
at
p
o
w
er
m
o
to
r
s
T
h
e
ad
d
itio
n
o
f
th
e
R
ad
r
esis
ta
n
ce
to
th
e
r
o
to
r
’
s
cir
cu
it
is
b
e
ca
u
s
e
t
h
e
ac
tu
al
ad
d
itio
n
al
lo
s
s
es
d
ep
en
d
o
n
th
e
lo
ad
,
th
e
y
ar
e
n
o
t
co
n
s
t
an
ts
a
s
it
ap
p
ea
r
s
in
s
o
m
e
tex
t
s
an
d
ar
ticle
s
a
n
d
is
p
r
ec
is
e
l
y
th
e
r
o
to
r
’
s
c
u
r
r
en
t
th
e
o
n
e
t
h
at
d
ir
ec
tl
y
d
ep
en
d
s
o
n
th
e
lo
ad
.
T
h
er
e
ar
e
th
r
ee
t
y
p
es o
f
lo
s
s
e
s
in
t
h
e
m
o
to
r
co
n
s
i
d
er
ed
:
C
o
n
v
en
t
io
n
al
v
ar
iab
le
lo
s
s
e
s
.
T
h
ey
r
ep
r
esen
t
t
h
e
p
o
w
er
tu
r
n
ed
in
to
h
ea
t
in
t
h
e
s
tato
r
an
d
r
o
to
r
w
i
n
d
i
n
g
s
an
d
ar
e
eq
u
al
to
:
Δ
p
vc
=3
∙
R
1
∙
I
1
2
+3
∙
R
2
∙
I
2
2
(
1
)
C
o
n
s
tan
t
lo
s
s
es.
A
r
e
t
h
o
s
e
th
a
t
d
o
n
’
t
d
ep
en
d
o
n
th
e
lo
ad
co
n
n
ec
t
ed
to
t
h
e
m
o
to
r
.
T
h
ese
ar
e
th
e
co
r
e
an
d
m
ec
h
a
n
ical
lo
s
s
e
s
.
U
s
in
g
th
i
s
cir
cu
i
t,
t
h
e
y
ca
n
n
o
t
b
e
s
ep
ar
ated
,
an
d
b
o
th
ar
e
co
n
s
id
er
ed
o
n
th
e
R
m
r
esis
ta
n
ce
.
I
t’
s
v
al
u
ed
is
:
Δ
p
cte
=3
∙
E
1n
2
R
m
(
2
)
A
d
d
itio
n
al
lo
s
s
e
s
.
T
h
ese
lo
s
s
es
ar
e
d
if
f
icu
lt
to
ev
al
u
ate,
b
u
t
th
e
y
ar
e
k
n
o
w
n
to
d
ep
en
d
o
n
th
e
lo
ad
co
n
n
ec
ted
to
th
e
m
o
to
r
an
d
th
e
y
ar
e
ca
lcu
lated
as:
Δ
p
ad
=3
∙
R
ad
∙
I
2
2
(
3
)
2
.
2
.
P
a
ra
m
et
er
s
det
er
m
ina
t
i
o
n a
lg
o
rit
h
m
T
o
ap
p
ly
th
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
,
t
h
e
f
o
llo
w
in
g
i
n
p
u
t d
ata
a
r
e
n
ec
ess
ar
y
:
T
h
e
r
ated
v
o
ltag
e
Vn
,
in
V.
T
h
e
r
ated
c
u
r
r
en
t I
n
,
in
A
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
A
n
ew ex
a
ct
eq
u
iva
le
n
t
circu
it o
f th
e
med
iu
m
v
o
lta
g
e
th
r
ee
-
p
h
a
s
e
in
d
u
ctio
n
mo
to
r
(
La
u
r
a
C
o
lla
z
o
S
o
la
r
)
6167
T
h
e
r
ated
p
o
w
er
P
n
,
in
k
W
.
T
h
e
r
ated
s
p
ee
d
n
n
an
d
t
h
e
r
ated
s
y
n
c
h
r
o
n
o
u
s
v
elo
cit
y
n
s
,
b
o
th
in
r
p
m
.
T
h
e
m
a
x
i
m
u
m
to
r
q
u
e,
i
n
p
er
u
n
it ta
k
in
g
as b
ase
q
u
a
n
ti
t
y
t
h
e
r
ated
to
r
q
u
e.
T
h
e
ef
f
icie
n
c
y
at
r
ated
an
d
h
al
f
r
ated
lo
ad
.
T
h
e
p
o
w
er
f
ac
to
r
at
r
ated
an
d
h
al
f
r
ated
lo
ad
.
T
h
e
s
tato
r
r
esis
tan
ce
R
1
,
i
n
o
h
m
s
.
T
h
e
alg
o
r
ith
m
to
d
etec
t t
h
e
p
ar
a
m
eter
s
f
o
llo
w
s
th
e
n
e
x
t step
s
:
T
h
e
in
p
u
t d
ata
d
escr
ib
ed
b
ef
o
r
e.
T
h
e
d
eter
m
i
n
atio
n
o
f
th
e
m
ax
i
m
u
m
a
n
d
r
ated
to
r
q
u
e
th
r
o
u
g
h
th
e
f
o
llo
w
i
n
g
ex
p
r
ess
io
n
s
:
T
n=
P
n
∙
1000
n
n
∙
π
30
(
4
)
T
max
=
t
m
a
x
.
T
n
(
5
)
T
h
e
d
eter
m
in
at
io
n
o
f
th
e
to
ta
l
leak
ag
e
r
ea
ctan
ce
Xcc
an
d
i
ts
d
iv
is
io
n
in
eq
u
al
p
ar
ts
b
etw
ee
n
th
e
s
ta
to
r
an
d
r
o
to
r
[
1
]
:
X
cc
=
V
n
2
2
∙
n
s
∙
π
30
∙
T
m
a
x
(
6
)
X
d1
=
X
d2
=
X
cc
2
(
7
)
Fo
r
h
alf
a
n
d
r
ated
p
o
w
er
,
th
e
f
o
llo
w
i
n
g
ca
lc
u
latio
n
s
ar
e
p
er
f
o
r
m
ed
:
T
h
e
in
p
u
t p
o
w
er
b
y
d
iv
id
i
n
g
t
h
e
o
u
tp
u
t p
o
w
er
b
y
th
e
e
f
f
icie
n
c
y
f
o
r
th
e
co
r
r
esp
o
n
d
in
g
lo
ad
s
tate.
P
in
=
P
out
η
(
8
)
T
h
e
s
tato
r
cu
r
r
en
t a
p
p
ly
in
g
t
h
e
f
o
llo
w
in
g
ex
p
r
es
s
io
n
:
I=
P
in
√
3
.
V
n
.f
p
(
9
)
T
h
e
s
lip
s
w
h
er
e
n
S
i
s
th
e
s
y
n
c
h
r
o
n
o
u
s
v
elo
cit
y
an
d
n
t
h
e
r
at
ed
s
p
ee
d
as f
o
llo
w
i
n
g
:
s=
n
s
-
n
n
s
(
1
0
)
T
h
e
r
o
to
r
r
esis
tan
ce
ap
p
l
y
i
n
g
t
h
e
f
o
llo
w
i
n
g
ex
p
r
ess
io
n
:
R
2
=
s
∙
P
s
a
l
∙
1000
3
∙
(1
-
s)
∙
(I
∙
fp
)
2
(
1
1
)
T
h
e
in
d
u
ce
d
e
m
f
(
elec
tr
o
m
o
ti
v
e
f
o
r
ce
)
th
r
o
u
g
h
t
h
e
f
o
llo
w
in
g
co
m
p
lex
e
x
p
r
ess
io
n
s
:
E
̄
1
=
V
̄
1
-
j
∙
I
̄
∙
(
R
1
+j
∙
X
d1
)
(
1
2
)
I
̄
=I
∙
fp
-
j
∙
I
∙
√
1
-
f
p
2
(
1
3
)
T
h
e
n
o
-
lo
ad
cu
r
r
en
t c
o
m
p
o
n
e
n
t 9
0
⁰
f
r
o
m
th
e
i
n
d
u
ce
d
e
m
f
I
or
.
T
h
e
m
a
g
n
etizi
n
g
r
ea
cta
n
ce
th
r
o
u
g
h
th
e
e
x
p
r
ess
io
n
:
X
m
=
E
1
I
or
(
14)
A
n
e
w
v
ar
iab
le
eq
u
al
to
t
h
r
ee
ti
m
e
s
th
e
s
q
u
ar
e
o
f
th
e
r
o
to
r
’
s
cu
r
r
en
t:
c
or
r
2=
3
∙
I
2
2
(
1
5
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
10
,
No
.
6
,
Dec
em
b
er
2
0
2
0
:
6
1
6
4
-
6
1
7
1
6168
T
h
e
s
u
m
o
f
th
e
lo
s
s
es a
s
t
h
e
d
i
f
f
er
en
ce
b
et
w
ee
n
t
h
e
i
n
p
u
t a
n
d
o
u
tp
u
t p
o
w
er
:
∑
l
oss
e
s
=
P
in
−
P
o
ut
(
1
6
)
A
n
e
w
v
a
lu
e
n
a
m
ed
p
acad
w
h
ic
h
is
t
h
e
s
u
m
o
f
th
e
co
n
s
ta
n
t a
n
d
ad
d
itio
n
al
lo
s
s
es:
p
a
c
a
d
=
∑
l
oss
e
s
-
(
3
∙
I
1
2
∙
R
1
+3
∙
I
2
2
∙
R
2
)
(
1
7
)
T
h
e
f
u
n
ctio
n
a
l
r
elatio
n
b
et
w
e
en
p
ac
ad
an
d
t
h
e
v
ar
iab
le
co
r
r
2
=
3
.
I
2
2
is
a
s
tr
aig
h
t
li
n
e
w
it
h
an
in
ter
ce
p
t
a
t
th
e
lo
s
s
’
s
ax
i
s
.
T
h
is
i
n
ter
ce
p
t
is
th
e
co
n
s
ta
n
t
lo
s
s
e
s
a
n
d
th
e
s
lo
p
e
o
f
th
e
lin
e
is
t
h
e
r
esis
tan
ce
o
f
th
e
ad
d
itio
n
al
lo
s
s
e
s
as it i
s
s
h
o
w
n
in
F
ig
u
r
e
3
.
T
o
d
eter
m
i
n
e
th
e
i
n
ter
ce
p
t a
n
d
th
e
s
lo
p
e
th
e
Ne
w
to
n
in
ter
p
o
latio
n
m
et
h
o
d
is
u
s
ed
.
Fig
u
r
e
3
.
C
o
n
s
ta
n
t a
n
d
ad
d
itio
n
al
lo
s
s
e
s
3.
RE
SU
L
T
S
A
ND
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.
1
.
Ca
s
e
s
t
ud
y
T
h
e
f
ee
d
in
g
p
u
m
p
m
o
to
r
o
f
th
e
Má
x
i
m
o
Gó
m
ez
P
o
w
er
P
lan
t
at
Ma
r
iel,
C
u
b
a
is
ch
o
s
e
n
as
a
ca
s
e
s
tu
d
y
.
T
h
e
m
o
to
r
’
s
d
ata
ap
p
ea
r
s
in
T
ab
le
1
.
T
h
e
alg
o
r
ith
m
e
x
p
lain
ed
i
n
t
h
e
p
r
ev
io
u
s
ep
ig
r
ap
h
w
as c
ar
r
ied
an
d
th
e
r
esu
lts
t
h
at
ap
p
ea
r
in
T
ab
l
e
2
w
er
e
o
b
tain
ed
.
T
ab
le
1
.
Data
o
f
th
e
ca
s
e
s
tu
d
y
m
o
to
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Ra
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e
d
p
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r
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4
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f
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8
8
S
t
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t
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r
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ms
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0
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7
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a
x
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m
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m
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,
i
n
p
.
u
.
2
.
5
T
ab
le
2
.
P
ar
am
eter
s
o
f
t
h
e
ca
s
e
s
tu
d
y
m
o
to
r
s
S
t
a
t
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r
's re
si
st
a
n
c
e
R
1
,
i
n
o
h
ms
0
.
0
4
9
S
t
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t
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r
's l
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k
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a
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X
d1
,
i
n
o
h
m
s
1
.
4
3
2
C
o
n
st
a
n
t
l
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si
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R
m
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m
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0
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g
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m
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i
n
o
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ms
4
0
.
8
2
R
o
t
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r
's l
e
a
k
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g
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a
c
t
a
n
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X
d2
,
i
n
o
h
m
s
1
.
4
3
2
R
o
t
o
r
’
s re
si
st
a
n
c
e
R
2
,
i
n
o
h
ms
0
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0
7
4
9
A
d
d
i
t
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o
n
a
l
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sse
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si
st
a
n
c
e
R
ad
,
i
n
o
h
ms
0
.
1
0
4
1
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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2
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6169
3
.
2
.
Va
lid
a
t
i
o
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f
t
he
pa
r
a
m
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’
s
ca
lcula
t
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m
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ho
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lo
g
y
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h
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v
alid
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o
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h
is
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et
h
o
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o
lo
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y
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d
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n
e
i
n
t
w
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if
f
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en
t
w
a
y
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.
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h
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p
o
w
er
f
ac
to
r
an
d
ef
f
ici
en
c
y
ar
e
d
eter
m
i
n
ed
b
y
2
5
%,
7
5
%,
an
d
1
2
5
%
o
f
th
e
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d
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co
m
p
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a
lu
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g
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b
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th
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m
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f
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B
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eq
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ex
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tal
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o
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s
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o
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in
T
ab
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3
.
T
ab
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t
h
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t p
ath
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th
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r
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Valid
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4.
CO
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ase
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d
h
as
t
h
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f
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(
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p
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R
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th
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m
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th
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p
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b
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a
r
r
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t
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a
r
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co
n
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i
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er
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at
r
esis
t
an
ce
R
1
;
(
ii
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t
h
e
c
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n
s
t
an
t
l
o
s
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es:
c
o
r
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d
m
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h
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ar
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s
i
d
e
r
e
d
at
th
e
r
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t
an
c
e
R
m
;
(
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h
e
r
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r
co
p
p
e
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lo
s
s
es
ar
e
co
n
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i
d
er
ed
at
r
esis
t
an
ce
R
2
;
(
iv
)
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h
e
a
d
d
iti
o
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al
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r
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n
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d
e
r
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d
at
r
esis
t
a
n
ce
R
a
d
;
(
v
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t
h
e
m
ec
h
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ical
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o
w
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tp
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s
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d
at
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R
2
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1
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s
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esis
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ce
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I
n
th
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l
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iv
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len
t
ci
r
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i
t,
a
ll
th
e
p
o
w
er
t
r
an
s
f
o
r
m
ed
in
t
o
th
e
m
ec
h
an
ic
al
f
o
r
m
in
clu
d
in
g
th
e
m
ec
h
an
ical
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d
a
d
d
iti
o
n
al
l
o
s
s
es
d
is
s
i
p
at
es
o
n
th
is
r
esis
t
an
ce
.
RE
F
E
R
E
NC
E
S
[1
]
P
.
R.
V
ieg
o
,
V.
S
o
u
sa
,
J.
R.
G
ó
m
e
z
,
a
n
d
E.
C.
Qu
is
p
e
,
“
Dire
c
t
-
on
-
li
n
e
-
sta
rt
p
e
rm
a
n
e
n
t
-
m
a
g
n
e
t
-
a
ss
ist
e
d
s
y
n
c
h
ro
n
o
u
s
re
lu
c
tan
c
e
m
o
to
rs
with
f
e
rrit
e
m
a
g
n
e
ts
f
o
r
d
riv
in
g
c
o
n
sta
n
t
lo
a
d
s,”
In
ter
n
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
f
El
e
c
trica
l
a
n
d
Co
m
p
u
ter
E
n
g
i
n
e
e
rin
g
(
IJ
ECE
)
,
v
o
l.
1
0
,
n
o
.
1
,
p
p
.
6
5
1
-
6
5
9
,
2
0
2
0
.
[2
]
J.
R.
G
ó
m
e
z
,
V
.
S
o
u
sa
,
M
.
S
.
Q
u
i
n
tan
a
,
P
.
R.
V
ieg
o
,
H.
He
rn
á
n
d
e
z
,
a
n
d
E.
C.
Qu
isp
e
,
“
F
l
o
w
re
g
u
latio
n
a
t
c
o
n
sta
n
t
h
e
a
d
in
f
e
e
d
wa
ter
p
u
m
p
s
in
a
s
u
g
a
r
in
d
u
stry
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
trica
l
a
n
d
Co
mp
u
t
e
r
En
g
i
n
e
e
rin
g
(
IJ
ECE
)
,
v
o
l.
9
,
n
o
.
2
,
p
p
.
7
3
2
-
7
4
1
,
2
0
1
9
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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N
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2
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8708
I
n
t J
E
lec
&
C
o
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p
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n
g
,
Vo
l.
10
,
No
.
6
,
Dec
em
b
er
2
0
2
0
:
6
1
6
4
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6
1
7
1
6170
[3
]
A
.
E.
F
it
z
g
e
ra
ld
,
C.
Kin
g
sle
y
,
a
n
d
S
.
D
.
Um
a
n
s,
“
El
e
c
tri
c
m
a
c
h
in
e
ry
.
Ch
0
1
:
M
a
g
n
e
ti
c
c
ircu
it
s
a
n
d
m
a
g
n
e
ti
c
m
a
teria
ls.,
”
El
e
c
tric M
a
c
h
in
e
ry
,
M
c
Gr
a
w
-
Hill
,
p
p
.
1
-
5
6
,
2
0
0
3
.
[4
]
M
.
V
il
a
ra
g
u
t,
Á
.
Co
sta
,
a
n
d
A
.
G
a
r
c
ia,
“
M
é
to
d
o
s
p
a
ra
la
d
e
term
in
a
c
ió
n
d
e
la
e
f
icie
n
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ia
e
n
e
rg
é
ti
c
a
e
n
l
o
s
m
o
to
re
s
d
e
in
d
u
c
c
ió
n
tri
f
á
sic
o
s,”
Rev
.
Cien
t.
l
a
s e
n
e
rg
i
a
s R
e
n
o
v
.
,
2
0
0
4
.
[5
]
Á
.
Co
sta
a
n
d
M
.
V
il
a
ra
g
u
t,
“
De
ter
m
in
a
c
ió
n
d
e
l
c
o
m
p
o
rtam
ien
to
e
n
e
rg
é
ti
c
o
d
e
l
m
o
to
r
d
e
in
d
u
c
c
ió
n
a
p
a
rti
r
d
e
su
s
d
a
t
o
s
d
e
c
a
t
á
l
o
g
o
y
l
a
l
e
c
t
u
r
a
d
e
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a
s
c
o
r
r
i
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n
t
e
s
d
e
l
e
s
t
a
t
o
r
,
”
I
I
I
T
a
l
l
e
r
C
a
r
i
b
e
ñ
o
d
e
E
n
e
r
g
í
a
y
M
e
d
i
o
A
m
b
i
e
n
t
e
.
,
2004.
[
6
]
T
.
A
.
L
ip
o
,
"
A
.
In
tro
d
u
c
ti
o
n
t
o
A
C
m
a
c
h
in
e
d
e
sig
n
,
"
J
o
h
n
W
i
l
e
y
&
S
o
n
s
,
2017.
[7
]
D.
Do
li
n
a
r,
G
.
S
tu
m
b
e
rg
e
r,
R.
B
e
lm
a
n
s,
a
n
d
E.
F
re
e
m
a
n
,
“
D
e
ter
m
i
n
a
ti
o
n
o
f
th
e
in
d
u
c
ti
o
n
m
o
to
r
m
o
d
e
l
p
a
ra
m
e
ters
u
sin
g
f
in
it
e
e
lem
e
n
ts,”
In
ter
n
a
ti
o
n
a
l
C
o
n
fer
e
n
c
e
o
n
E
lec
trica
l
M
a
c
h
in
e
s,
p
p
.
1
5
3
-
1
5
8
,
1
9
9
6
.
[8
]
He
n
g
P
h
a
ll
a
S
a
m
b
a
th
,
“
M
e
th
o
d
f
o
r
d
e
ter
m
in
in
g
lo
ss
e
s
a
n
d
e
ff
icie
n
c
y
o
f
th
re
e
-
p
h
a
se
c
a
g
e
in
d
u
c
ti
o
n
m
o
to
rs,
”
I
EE
Ha
lf
Da
y
Co
l
lo
q
u
i
u
m T
e
stin
g
o
f
El
e
c
trica
l
M
a
c
h
in
e
s
,
2
0
0
2
.
[9
]
IEE
E,
“
IEE
E
S
tan
d
a
rd
T
e
st
P
ro
c
e
d
u
re
f
o
r
P
o
ly
p
h
a
se
In
d
u
c
ti
o
n
M
o
to
rs
a
n
d
G
e
n
e
ra
to
rs,”
IEE
E
S
td
1
1
2
-
2
0
1
7
(
Rev
isio
n
o
f
IEE
E
S
t
d
1
1
2
-
2
0
0
4
)
,
p
p
.
1
-
1
1
5
,
2
0
1
8
.
[1
0
]
IEC,
“
IEC
6
0
0
3
4
-
2
8
.
R
o
tati
n
g
e
lec
tri
c
a
l
m
a
c
h
in
e
s
-
P
a
rt
2
8
:
T
e
st
m
e
th
o
d
s
f
o
r
d
e
term
in
in
g
q
u
a
n
ti
ti
e
s
o
f
e
q
u
iv
a
len
t
c
ircu
it
d
iag
ra
m
s
f
o
r
th
re
e
-
p
h
a
se
l
o
w
-
v
o
lt
a
g
e
c
a
g
e
in
d
u
c
ti
o
n
m
o
to
rs,
”
2
0
1
2
.
[1
1
]
L
.
A
.
D.
S
.
Rib
e
iro
,
C.
B.
Ja
c
o
b
in
a
,
a
n
d
A
.
M
.
N.
L
i
m
a
,
“
P
a
ra
m
e
ter
e
sti
m
a
ti
o
n
o
f
in
d
u
c
ti
o
n
m
a
c
h
in
e
s
u
n
d
e
r
sin
u
so
i
d
a
l
P
W
M
e
x
c
it
a
ti
o
n
,
”
IEE
E
T
ra
n
s.
E
n
e
rg
y
Co
n
v
e
rs
.
,
1
9
9
9
.
[1
2
]
W
E
G
,
“
G
e
n
e
ra
l
p
u
rp
o
se
m
o
to
r
c
a
talo
g
,
”
2
0
1
7
.
[1
3
]
S
IEM
ENS
,
“
G
e
n
e
ra
l
p
u
rp
o
se
m
o
to
r
c
a
talo
g
,
”
2
0
1
7
.
[1
4
]
A
BB,
“
G
e
n
e
r
a
l
p
u
rp
o
se
m
o
to
r
c
a
talo
g
,
”
2
0
1
8
.
[1
5
]
R.
Na
tara
jan
a
n
d
V
.
K.
M
isra
,
“
P
a
ra
m
e
ter
e
sti
m
a
ti
o
n
o
f
in
d
u
c
ti
o
n
m
o
to
rs
u
si
n
g
a
sp
re
a
d
sh
e
e
t
p
ro
g
ra
m
o
n
a
p
e
rso
n
a
l
c
o
m
p
u
ter,”
El
e
c
tr.
P
o
we
r S
y
st.
Res
.
,
v
o
l.
1
6
,
n
o
.
2
,
p
p
.
1
5
7
-
1
6
4
.
1
9
8
9
.
[1
6
]
S
.
.
Um
a
n
s,
"
F
it
z
g
e
ra
ld
a
n
d
Kin
g
sle
y
’s E
lec
tri
c
m
a
c
h
in
e
ry
,
"
M
c
Gr
a
w
-
Hill
Hi
g
h
e
r E
d
u
c
a
t
io
n
,
v
o
l.
3
1
9
,
n
o
.
4
.
2
0
1
4
.
[1
7
]
S
.
A
n
su
j,
F
.
S
h
o
k
o
o
h
,
a
n
d
R.
S
c
h
in
z
in
g
e
r,
“
P
a
ra
m
e
ter
Esti
m
a
ti
o
n
f
o
r
In
d
u
c
ti
o
n
M
a
c
h
i
n
e
s
Ba
se
d
o
n
S
e
n
siti
v
it
y
A
n
a
l
y
si
s,”
IEE
E
T
ra
n
s.
In
d
.
Ap
p
l
.
,
v
o
l.
2
5
,
n
o
.
6
,
p
p
.
1
0
3
5
-
1
0
4
0
,
1
9
8
9
.
[1
8
]
M
.
H.
Ha
q
u
e
,
“
Esti
m
a
ti
o
n
o
f
th
r
e
e
-
p
h
a
se
in
d
u
c
ti
o
n
m
o
to
r
p
a
ra
m
e
ters
,
”
El
e
c
tr.
Po
we
r
S
y
st.
Res
.
,
v
o
l.
2
6
,
n
o
.
3
,
p
p
.
1
8
7
-
1
9
3
,
1
9
9
3
.
[1
9
]
J.
P
e
d
ra
,
“
On
t
h
e
d
e
term
in
a
ti
o
n
o
f
in
d
u
c
ti
o
n
m
o
to
r
p
a
ra
m
e
ters
f
ro
m
m
a
n
u
f
a
c
tu
re
r
d
a
ta
f
o
r
e
lec
tro
m
a
g
n
e
ti
c
tran
sie
n
t
p
ro
g
ra
m
s,”
IEE
E
T
ra
n
s.
P
o
we
r S
y
st.,
v
o
l.
2
3
,
n
o
.
4
,
p
p
.
1
7
0
9
-
1
7
1
8
,
2
0
0
8
.
[2
0
]
J.
P
e
d
ra
,
“
Esti
m
a
ti
o
n
o
f
ty
p
ica
l
sq
u
irrel
-
c
a
g
e
in
d
u
c
ti
o
n
m
o
to
r
p
a
ra
m
e
ters
f
o
r
d
y
n
a
m
i
c
p
e
rf
o
r
m
a
n
c
e
si
m
u
latio
n
,
”
IEE
Pro
c
.
Ge
n
e
r.
T
ra
n
sm
.
Distrib
.
,
v
o
l.
1
5
3
,
n
o
.
2
,
p
p
.
1
3
7
-
1
4
6
,
2
0
0
6
.
[2
1
]
J.
P
e
d
ra
a
n
d
F
.
C
ó
rc
o
les
,
“
Esti
m
a
ti
o
n
o
f
in
d
u
c
ti
o
n
m
o
to
r
d
o
u
b
le
-
c
a
g
e
m
o
d
e
l
p
a
ra
m
e
ters
f
ro
m
m
a
n
u
f
a
c
tu
re
r
d
a
ta,”
IEE
E
T
ra
n
s.
E
n
e
rg
y
Co
n
v
e
rs
.
,
v
o
l.
1
9
,
n
o
.
2
,
p
p
.
3
1
0
-
3
1
7
,
2
0
0
4
.
[2
2
]
X
.
M
.
L
.
-
F
.
A
n
g
e
l
Co
sta
M
o
n
ti
e
l,
G
lo
ria
Cie
m
b
u
lea
,
Ne
c
u
lai
Ga
lan
,
“
Cá
lcu
lo
d
e
lo
s
p
a
rá
m
e
tro
s
d
e
l
m
o
to
r
d
e
in
d
u
c
c
ió
n
a
p
a
rti
r
d
e
d
a
t
o
s d
e
c
a
t
á
lo
g
o
,
”
En
e
rg
í
a
y
C
o
mp
u
t.
,
v
o
l
.
1
2
,
n
o
.
2
,
p
p
.
3
2
-
3
8
,
2
0
0
4
.
[2
3
]
J.
P
e
d
ra
,
I.
Ca
n
d
e
la,
a
n
d
A
.
Ba
r
re
ra
,
“
S
a
tu
ra
ti
o
n
m
o
d
e
l
f
o
r
sq
u
irrel
-
c
a
g
e
in
d
u
c
ti
o
n
m
o
to
rs,”
El
e
c
tr.
Po
we
r
S
y
st.
Res
.
,
v
o
l.
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,
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9
.
[2
4
]
M
.
T
o
rre
n
t,
“
Esti
m
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ti
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f
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q
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iv
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len
t
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ircu
it
s
f
o
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in
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u
c
t
io
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m
o
to
r
s
in
ste
a
d
y
sta
te
in
c
lu
d
i
n
g
m
e
c
h
a
n
ica
l
a
n
d
stra
y
lo
a
d
l
o
ss
e
s,”
Eu
r.
T
r
a
n
s.
El
e
c
tr.
Po
we
r,
v
o
l.
2
2
,
n
o
.
7
,
p
p
.
9
8
9
-
1
0
1
5
,
2
0
1
2
.
[
2
5
]
J
.
M
.
C
.
G
u
i
m
a
r
a
e
s
,
J
.
V
.
B
e
r
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a
r
d
e
s
,
A
.
E
.
H
e
r
m
e
t
o
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a
n
d
E
.
D
.
C
.
B
o
r
t
o
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i
,
“
P
a
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m
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t
e
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d
e
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e
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m
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n
a
t
i
o
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h
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a
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r
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m
a
n
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f
a
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e
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t
a
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t
,
”
I
E
E
E
T
r
a
n
s
.
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n
e
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g
y
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n
v
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s
.
,
v
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l
.
2
9
,
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o
.
3
,
p
p
.
6
8
9
-
6
9
7
,
2014.
[2
6
]
C.
A
.
C.
Wen
g
e
rk
ie
v
icz
e
t
a
l.
,
“
Esti
m
a
ti
o
n
o
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th
re
e
-
p
h
a
se
in
d
u
c
ti
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n
m
o
to
r
e
q
u
iv
a
len
t
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ircu
it
p
a
ra
m
e
ters
f
ro
m
m
a
n
u
f
a
c
tu
re
r
c
a
talo
g
d
a
ta,”
J
.
M
i
c
ro
wa
v
e
s,
Op
to
e
lec
tro
n
.
El
e
c
tro
ma
g
n
.
A
p
p
l.
,
v
o
l.
1
6
,
n
o
.
1
,
p
p
.
9
0
-
1
0
7
,
2
0
1
7
.
B
I
O
G
RAP
H
I
E
S
O
F
AUTH
O
RS
La
u
r
a
Co
ll
a
z
o
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o
la
r
wa
s
b
o
rn
in
Ha
v
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n
a
,
C
u
b
a
,
o
n
No
v
e
m
b
e
r
3
0
,
1
9
8
9
.
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c
e
iv
e
d
a
B.
S
c
.
i
n
El
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c
tri
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l
En
g
in
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rin
g
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ro
m
Un
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v
e
rsid
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d
T
e
c
n
o
ló
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ica
d
e
la
Ha
b
a
n
a
Jo
sé
A
n
to
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io
Ech
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v
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rría,
Cu
b
a
in
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0
1
3
.
M
.
S
c
.
i
n
El
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c
tri
c
a
l
En
g
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n
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rin
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ro
m
Un
iv
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a
d
T
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c
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o
ló
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e
la
Ha
b
a
n
a
Jo
sé
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n
to
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io
Ech
e
v
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rría,
Cu
b
a
in
2
0
2
0
.
S
h
e
h
a
s
p
u
b
l
ish
e
d
p
a
p
e
rs
in
in
d
u
c
ti
o
n
m
o
to
rs
p
a
ra
m
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ters
id
e
n
ti
f
ica
ti
o
n
a
n
d
e
n
e
rg
y
e
ff
i
c
ien
c
y
.
He
r
a
r
e
a
o
f
in
tere
st
in
c
lu
d
e
s
e
lec
tri
c
m
a
c
h
in
e
s
a
n
d
d
riv
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s
a
n
d
e
n
e
rg
y
e
ff
ici
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n
c
y
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An
g
e
l
A.
Co
st
a
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tiel
w
a
s
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n
Ha
v
a
n
a
,
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b
a
,
o
n
M
a
rc
h
2
1
,
1
9
4
4
.
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c
e
iv
e
d
a
B.
S
c
.
in
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e
c
tri
c
a
l
En
g
in
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rin
g
f
ro
m
Un
iv
e
rsit
y
o
f
H
a
v
a
n
a
,
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b
a
in
1
9
6
8
.
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h
D.
in
T
e
c
h
n
ica
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c
ien
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e
s
(El
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c
tri
c
a
l
En
g
in
e
e
rin
g
)
f
ro
m
U
n
iv
e
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a
d
T
e
c
n
o
ló
g
ica
d
e
la
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a
b
a
n
a
Jo
sé
A
n
to
n
i
o
Ech
e
v
e
rría,
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b
a
,
i
n
1
9
8
7
.
He
h
a
s
p
u
b
li
s
h
e
d
p
a
p
e
rs
in
h
ig
h
im
p
a
c
t
jo
u
rn
a
l
s
in
d
e
x
e
d
in
S
c
o
p
u
s
i
n
in
d
u
c
ti
o
n
m
o
to
rs
p
a
ra
m
e
ter
s
id
e
n
ti
f
ica
ti
o
n
,
v
e
c
to
r
c
o
n
tro
l
o
f
e
lec
tri
c
m
o
to
rs
a
n
d
a
rti
f
icia
l
in
telli
g
e
n
c
e
a
p
p
li
c
a
ti
o
n
to
c
o
n
tro
l
o
f
e
lec
tri
c
m
a
c
h
in
e
s
a
n
d
d
riv
e
s.
His
a
re
a
o
f
in
ter
e
st
a
re
si
m
u
latio
n
a
n
d
c
o
n
t
ro
l
o
f
e
lec
tri
c
m
a
c
h
in
e
s a
n
d
d
riv
e
s a
n
d
e
n
e
rg
y
e
ff
ici
e
n
c
y
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
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&
C
o
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p
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g
I
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N:
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l
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riv
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n
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w
a
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rg
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c
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rn
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re
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o
f
in
tere
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lu
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r
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2
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.
S
c
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i
n
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n
e
rg
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icie
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c
y
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ro
m
Un
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in
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a
s
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l
a
s,
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a
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in
2
0
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h
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s
p
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sh
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rti
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c
ti
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o
to
r
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e
n
e
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y
q
u
a
li
t
y
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n
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y
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ff
icie
n
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y
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ig
h
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p
a
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u
rn
a
ls i
n
d
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x
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d
in
S
c
o
p
u
s a
n
d
W
o
s.
His a
r
e
a
o
f
in
tere
st i
n
c
l
u
d
e
s e
lec
tri
c
m
a
c
h
in
e
s,
p
o
w
e
r
q
u
a
li
ty
,
a
n
d
e
n
e
rg
y
e
ff
ic
ien
c
y
.
Ab
e
l
C
u
r
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l
o
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li
n
a
w
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s
b
o
rn
in
Ha
v
a
n
a
,
Cu
b
a
,
o
n
No
v
e
m
b
e
r
1
,
1
9
9
9
.
Re
c
e
iv
e
d
a
B.
S
c
.
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n
El
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c
tri
c
a
l
En
g
in
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e
rin
g
f
ro
m
Un
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v
e
rsid
a
d
T
e
c
n
o
ló
g
ica
d
e
la
Ha
b
a
n
a
Jo
sé
A
n
to
n
io
Ech
e
v
e
rría,
Cu
b
a
in
2
0
1
8
.
His a
re
a
o
f
in
tere
st i
n
c
lu
d
e
s e
lec
tri
c
m
a
c
h
in
e
s,
p
o
w
e
r
q
u
a
l
it
y
,
a
n
d
e
n
e
rg
y
e
ff
icie
n
c
y
.
Evaluation Warning : The document was created with Spire.PDF for Python.