Internati
o
nal
Journal of P
o
wer Elect
roni
cs an
d
Drive
S
y
ste
m
(I
JPE
D
S)
Vol
.
7
,
No
. 2,
J
une
2
0
1
6
,
pp
. 56
1~
56
7
I
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: 208
8-8
6
9
4
5
61
Jo
urn
a
l
h
o
me
pa
ge
: h
ttp
://iaesjo
u
r
na
l.com/
o
n
lin
e/ind
e
x.ph
p
/
IJPEDS
Estimation of Excitation Ca
pacit
a
nce Req
u
iremen
t of
an
Isolated Multi-phase Inducti
on Generator for Power
Gen
e
rati
on
Alok
Ku
mar
Mohanty,
K B
Yad
a
v
Department o
f
Electrical and
Electroni
cs Engin
e
ering, Nation
a
l In
situte of
Techno
log
y
, Jamshedpur
, Jharkh
and, India
Article Info
A
B
STRAC
T
Article histo
r
y:
Received Dec 31, 2015
Rev
i
sed
May 18
, 20
16
Accepted
May 30, 2016
Self Excited in
duction gen
e
rators are us
ed in rem
o
te plac
es
for ele
c
tri
c
a
l
power gener
a
tion from both
conventi
onal as
well as non-
convention
a
l
sources. An Induction g
e
nerator
can ope
r
a
te as
a cap
acitor ex
cited machin
e
provided the machin
e is driven bey
ond s
y
n
c
hr
onous speed and a suitable
capa
c
itor is
conn
ect
ed acros
s
its
term
inals
.
In this
paper a te
chniqu
e has
been
proposed to estimate the values
of exci
tation
cap
acitances to maintain desir
e
d
term
inal
volt
a
g
e
s in a
m
u
lti-p
h
ase indu
ction
genera
tor.
A m
a
them
at
ica
l
model using no
dal admittan
ce techniqu
e of a six-phase inductio
n
generato
r
has
been
ana
l
yz
ed. Gen
e
ti
c
algo
rithm
te
chnique
is applied h
e
re
to obtain
the
unknown parameters and
the capacitan
ce r
e
quirements to obtain desired
terminal voltages under v
a
rious operating
con
d
itions.
Keyword:
Cap
acitan
c
e
I
ndu
ctio
n G
e
ner
a
to
r
Isolated
Mu
lti-p
h
a
se
Copyright ©
201
6 Institut
e
o
f
Ad
vanced
Engin
eer
ing and S
c
i
e
nce.
All rights re
se
rve
d
.
Co
rresp
ond
i
ng
Autho
r
:
Al
o
k
Kum
a
r M
oha
nt
y
,
Depa
rt
m
e
nt
of
El
ect
ri
cal
and
El
ect
roni
cs
E
n
gi
nee
r
i
n
g,
Natio
n
a
l
In
stitu
te of Techn
o
l
o
g
y
,
Jam
s
hedpu
r,
J
h
ar
k
h
an
d,
I
ndi
a
Em
a
il: alo
k
m
o
h
@
g
m
ail.co
m
1.
INTRODUCTION
The depl
etion of
convention
a
l sources, has led th
e expe
rts to expl
ore the possibilit
y
of using non-convention
a
l
energ
y
sources.
The in
creasing concern tow
a
rds the environm
en
t
has m
o
tivated
th
e rese
arche
r
s to
wards ration
a
li
zi
ng the
use of conven
tio
nal en
erg
y
sources. Induction generator
are su
itable for power
generation par
ticu
l
arly
in
remote
ar
eas due
to certain adv
a
ntages such
as bru
s
h less rotor con
s
truction
,
eas
y
maintenan
ce
and
less unit cost [1
-4]
.
Even though
three-
phase induct
i
on
generators are u
s
ed for this purpose but due
to certain advan
t
ag
es possessed b
y
m
u
lti-phase (m
ore than
three ph
as
e) ind
u
ction m
ach
ines
s
u
ch as
higher
power ra
ting
an
d improved reliability
th
ey
ar
e
now-a-day
s b
e
coming
popular. As an induction gen
e
rator suffers fro
m i
nherent poor voltage regu
lation,
volta
g
e
regulatio
n is to be taken
in to
accoun
t when
using th
e m
u
lti-ph
ase indu
ction
ge
nerators.
In this pap
e
r mathematical
modeling of multi-ph
ase indu
ction g
e
nera
tor
emplo
y
ing graph th
eor
y
was proposed
in [5]
.
In this paper a simplif
ied model based
on nodal ad
mittance
techn
i
que
is proposed and
the matrix
equ
a
tions
develop
e
d ar
e being solved b
y
G
A
techniqu
e to
o
b
tain
the d
e
si
red
capa
c
i
t
anc
e
va
l
u
es to m
a
int
a
in
desired t
e
rm
inal
voltag
e
and th
e v
a
ria
tion
of oth
e
r s
y
s
t
em
param
e
ters
are
p
r
es
ented
.
2.
MULTI
-PH
A
SE IN
D
UCTI
O
N
GENE
RA
TOR
Machines h
a
vin
g
phases more than thr
ee ph
ases
as in
a
conven
t
ional machine are ref
e
rred
to
as
a h
i
gh phase
order machine o
r
multiphase machines [6
]
.
Multiphase machin
es have certain
ad
vantag
es over the conven
tional three
phas
e
m
achines
s
u
ch as
capabi
l
i
t
y
to s
t
art
and
run even one
or
two of its stator phase open or
short circuited
,
lower
current per ph
ase without in
cr
easing voltag
e
p
e
r
phase, incr
eased power in
the same frame, for
a giv
e
n machin
e outpu
t
power utili
za
tio
n of m
o
re than three phas
e
en
ables split
ting
o
f
power across larger num
ber o
f
invert
er legs [
7
, 8]
.
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2
Additional num
ber of phase
ad
ded to th
e m
a
c
h
ine a
l
so bri
ngs addition
a
l fr
ee
dom
for im
provem
ents in the s
y
stem
.
Bas
i
ca
ll
y a
m
u
lt
i
phas
e
indu
ction
m
achine can
hav
e
two d
i
ffer
e
nt ty
pes
of
configur
ations.
2.1 Split Phas
e Electrical
Machines
Split phase
ele
c
t
r
ica
l
m
achin
es c
onsist of two sim
ilar stat
or win
d
ings sharing th
e sam
e
m
a
gneti
c
circu
it.
Such a
construction has
made it possible to ex
tend th
e
power range b
y
sharing the
tota
l
power into two
parts. Usuall
y
a split
phase m
achine i
s
built b
y
splitt
i
ng the phase bel
t
of a conven
tio
nal three phase m
achine into tw
o equal parts wit
h
phase
separation of 30
ᵒ
electr
i
ca
l. B
y
u
s
ing this
arrange
m
e
nt for the s
a
m
e
air gap flux, the inverter voltage can be redu
ced b
y
half
as
com
p
ar
e
d
to
the
thre
e ph
as
e m
achin
es
s
i
n
ce
the
num
ber of
turns
is
reduc
ed
.
2.2
Dual Stator Electrical Ma
chines
This
t
y
pe
of
el
ectr
i
ca
l m
ach
in
es
cons
is
ts
of
t
w
o s
e
parate in
dependen
t
stato
r
windings shar
ing the same
m
a
gnetic c
i
rcu
i
t
.
Six differen
t
voltag
e
m
a
gnitu
des could be
used for each win
d
ing group [9]
.
One set of the stator
winding is used
for electromech
anical power con
v
ersion while th
e second set of s
t
ator wind
ing can be used for
ex
citation
purpose.
In
dual stator electr
ical mach
ines, the po
wer can be ex
ten
d
ed withou
t th
e
need
to use multilev
e
l
conver
t
ers
In a conven
tion
a
l thr
ee ph
ase
m
achine
,the
co
nductors
are d
i
stributed
in slots
s
y
m
m
e
trica
l
l
y
f
o
r each ph
ase
group and the conductors belon
g
ing to each phase group ar
e series whereas in a m
u
ltiphase
induction m
ach
i
n
e we
subdivide each
phase group of
a usual
three phase machine
into
equal subgroups
b
y
d
i
sconnecting
the ser
i
es conn
ection
of the conducto
r
s
. More number of three phase
groups can be
obtain
e
d from the same machine. In this way
multiphase
m
achine s
u
ch
as
s
i
x phas
e
s
[6-8]
,
nin
e
ph
as
es
,
twelve
phas
e
s, fif
t
een phases
,
and
eighteen
phases
can be produ
ced
fr
om a
three phase machine b
y
subd
ivid
ing th
e ph
ase gr
oups
into two, th
ree,
four
subgroups respectively
.
The diagr
a
m
m
a
tic Represen
tat
i
o
n
of Multi-Phase (Six-pha
se) self-ex
c
it
ed indu
ction gene
rator
is shown in
Figure 1.
Figure 1.
Diagr
a
m
m
a
tic Repr
ese
n
tation
of Mul
ti-
Phase (Six-phas
e
) self-
e
xc
ited
in
duction
gener
a
to
r
3.
MAT
H
EM
AT
ICAL
A
N
A
LYSIS
O
F
A
MULTI
-PH
A
SE IN
D
UCTI
O
N
GENE
RA
TOR
A mathematical
model of a six-p
h
ase
self
excited
induction gen
e
r
a
tor
as
shown in Figure 2
is dev
e
loped
from
the
equivalent circuit of th
e machine [10-
12]
.
Th
e m
odel r
e
sults
i
n
a m
a
tr
ix form
that
m
a
kes th
e a
n
al
y
s
is of
the m
achin
e
simpler and eas
ier. Th
e equiv
a
lent cir
c
uit r
e
presentation
consist of four nodes and the equiv
a
lent admittances
are
represent
e
d b
y
a
d
m
ittanc
es Y1,Y
2,Y3,Y
4,Y5,Y6,
Y7,Y8 and Y9
r
e
spect
ivel
y.
1
⁄
⁄
(
1
)
1
⁄
(
2
)
1
⁄
(
3
)
1
⁄
⁄
(
4
)
1
⁄
⁄
(
5
)
1
⁄
⁄
(
6
)
1
⁄
⁄
(
7
)
Evaluation Warning : The document was created with Spire.PDF for Python.
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4
Estima
tion
o
f
Excita
tio
n
C
apa
cita
n
c
e Req
u
i
remen
t
o
f
an
Iso
l
a
t
ed Mu
lti-ph
a
s
e … (Alo
k
Ku
ma
r Moh
a
n
t
y)
56
3
1
⁄
⁄
(
8
)
1
⁄
⁄
(
9
)
Figure 2. Equ
i
valent cir
c
uit repr
esentation
of
a six
-
phase self
-excited indu
ction
gen
e
rator
.
The r
e
sultan
t
eq
uation
based
on
nodal
adm
ittan
c
e appro
ach
of
cir
c
uit
is exp
r
essed
as
W
h
ere
is m
a
trix
of vol
tag
e
,
is th
e m
a
trix
of
curre
nt,
and
is the ad
m
ittanc
e
m
a
tr
ix.
00
0
0
0
0
(
1
0
)
W
h
ere Y
ii
is the summ
ation of adm
ittan
ces of
all the bran
ches
connected to th
e i
th
node and Y
ij
is the summ
ation of
adm
ittan
ces of all th
e bran
ch
es connect
ed in b
e
t
w
een i
th
nod
e an
d j
th
node. As th
e admittance matrix [Y]
is sy
mmetric in
nature therefore
Y
ji
= Y
ij
. W
h
en t
h
ere
exis
ts
no b
r
anches
between
two nodes
then
the matrix v
a
lu
e is
zero
.
As th
e equ
i
valent
cir
c
uit
as
shown in the fig
u
re does
not
con
t
ain
an
y
curren
t
or voltage
s
ourc
e
s
ther
efore
[Is
]
=0 and
[Vs
]
=0.
Hence
the
equ
a
ti
on
[Y]
[V]
= [I
S
]
g
e
t
s
r
e
d
u
c
e
d
t
o
[Y] [
V
] =
0
In an indu
ction
generator for p
r
oper voltage build up [V
]
should never
be
equal to
zero h
e
nce the admittance
m
a
trix determ
in
ant becom
e
s equ
a
l to zero [13, 1
4
]
.
Hence the
real and im
aginar
y part of the adm
ittan
ce m
a
trix should be
zero. To
find
out the certain p
a
rameters
whi
c
h ma
ke
t
h
e de
te
rmi
n
a
n
t
of a
d
mi
tt
a
n
ce
ma
t
r
i
x
e
q
ua
l to z
e
r
o a
n
al
gori
t
hm ha
s
been proposed
.
4.
EVAL
UATI
O
N
O
F
E
X
C
I
T
A
TIO
N
CAP
ACIT
A
NCE REQU
IRE
M
ENTS
To determine
th
e magnitud
e
of
exc
itation
cap
acitance man
y
methods ha
v
e
been proposed which ar
e time
consuming and are also subjected to hum
an errors while perfor
m
ing the necessar
y
manipu
latio
n
s and determination of
unknown variables. A Genetic algorithm is a
technique for determining true or
a
pproximate values to optimization or
s
earch problem
s
[15, 16]
.GA are clas
s
i
fi
ed as
global s
earch he
ur
istics. GA is a particul
ar cl
ass of evolutionar
y
algorithms
that use techniques inspired
b
y
evolu
ti
onar
y
biolog
y
such
as
inher
itan
c
e, mu
tation
,
se
le
ctio
n, and
crossove
r. Th
e
evolution
of G
A
starts from a population of
randomly
g
e
ne
r
a
ted
individu
als
and happ
en
s in gener
a
tions. I
n
each
generation,
the f
i
tness of ever
y
in
dividual
in the p
opulation
is
eval
uated m
u
ltip
le
in
dividuals are sel
ect
ed from
the current
population
and
modified to for
m
a new populat
ion. Th
e new po
pulation
is used in th
e n
e
xt iteration of the
algorithm. The
algorithm stops
when highest nu
mber of
gen
e
rations has been pro
duced [16]
.
In the proposed method GA technique is used to determ
ine the determinant matrix [Y]
=0
whi
c
h is used to
determine th
e unknown parameters. The obj
ective function to be minimized fo
r obtaining frequ
ency
and magnetizing
reac
tan
ce m
u
st be equa
l to
the
summ
ation of a
b
solute va
lues
o
f
real
and im
agi
n
ar
y parts of d
e
t
e
rm
inant of
adm
ittan
c
e
matrix. In
addition to determin
ation of F and
Xm the o
t
her u
nkno
wn such as
ex
citation
cap
acitan
c
e, ro
tor speed
an
d load
impedance can b
e
found ou
t
in th
e algorithm. Th
e constraints invo
lved
in th
e
analysis are
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The flow ch
art f
o
r the gen
e
ti
c a
l
gorithm
is shown in Figure 3.
The GA parameters
used for the evaluation is giv
e
n in
Table 1
.
Figure 3. Flow chart of
Genetic
Algorithm
Table 1
.
GA par
a
meters
Parameters
Value
Generation
100
Population
20
Initial popu
lat
i
o
n
Feasible populat
ion
Scaling
function
Top, Quan
tity
:
0
.
4
Selection
Tournament,
To
urnament
K: 4
Crossover
Heuristic
, R
a
tio
:
1.2
Mutation
Adaptive
fe
asibl
e
Ending conditio
n
s
Ma
x gener
a
tion: 100
5.
RESULTS
A
N
D
DI
SC
US
S
I
ONS
5.1
Excitat
i
on
cap
a
citan
c
e
r
e
q
u
i
remen
ts
to
m
a
in
tain
d
e
s
i
red
termin
al
voltag
e
In a self
excited
induction g
e
ner
a
tor when
the active p
o
wer dem
a
nd of
the
load
is higher
than
th
e inpu
t rotor
m
echanic
al
pow
er, the load
vol
tage coll
aps
e
s
.
Thes
e
p
e
rform
ance
cons
train
t
s
of cap
aci
tive
c
o
m
p
ens
a
ted ind
u
cti
o
n
genera
tor lim
it t
h
eir wide s
p
read
applic
ation
,
es
p
eci
all
y
in
are
a
s
where regul
ated
load volt
a
ge and
frequenc
y a
r
e re
quire
d
.
Multi-Phase ind
u
ction gen
e
ra
tor
is identif
ied as
an isolat
ed po
wer sources whose term
inal vo
l
t
age
and freque
nc
y
are
controlled b
y
var
y
ing speed,
excitation
cap
acitan
c
e and lo
ad impedance. An isolat
ed induction gen
e
rator op
erating
in six-
phase mode is able to ex
cite only
when
proper v
a
lues of cap
acitan
ce ar
e connected to eith
er
the th
ree phase winding sets
or one of the tw
o three phase winding sets respectiv
ely
.
GA tech
nique is
us
ed to evalu
a
te
the c
a
p
aci
tive r
e
quirem
e
nts
b
y
solving th
e admittan
ce matrix
to
determine th
e un
known parameters.
The v
a
riation
of
the terminal vo
ltage expr
essed in pe
r un
it with
the shunt
cap
acitances
connected
across both
the three phase
winding sets is
shown in
Figur
e 4 .It is observed under no load
terminal voltage increases with the
increase in shun
t cap
acitan
ce v
a
lues. It
is found that th
e shunt ex
citation v
a
lue th
at corr
esponds to terminal
voltage of 1
per unit under
n
o
load
condition
is 35µF. The v
a
r
i
ation
of no
lo
ad
terminal voltage when capa
citan
ce connected
to one
of
the thr
ee phase
winding sets is shown in Figure 5. The magni
tud
e
of cap
ac
itan
ce
value
correspon
ding to term
in
al
voltag
e
1 per un
it if
foun
d to b
e
65
µF.
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8-8
6
9
4
Estima
tion
o
f
Excita
tio
n
C
apa
cita
n
c
e Req
u
i
remen
t
o
f
an
Iso
l
a
t
ed Mu
lti-ph
a
s
e … (Alo
k
Ku
ma
r Moh
a
n
t
y)
56
5
Figure 4.Variation of terminal v
o
ltag
e
when
six-
phase
induction
gen
e
rator subjected
to
no-load
and
the
capa
c
it
anc
e
con
n
ect
ed to
both
th
e thr
e
e
phas
e
wi
nding
se
ts
Figure 5.Variation of terminal v
o
ltag
e
when
six-
phase
induction
gen
e
rator subjected
to
no-load and the capacitance
connected
to on
e of th
e
three phase winding sets
5.2 Vari
ati
o
n of
speed
of the
pr
ime m
over
with terminal
vol
tage
During this an
aly
s
is th
e shunt
capacit
ance value is kep
t
constant and
th
e speed is var
i
ed su
bjected to
the
condition
that
th
e machine
is under no load
.
Fig
u
re 6 shows the variation of ter
m
in
al voltag
e
in
per unit with
th
e prime
mover speed. The slope 1 in Figure 6 corresp
onds to capac
itance value of 48 µF whereas slope 2 correspo
nds to
capa
c
it
anc
e
v
a
lu
e of 28
µ
F
.
The
t
e
rm
inal vo
ltag
e
i
s
as
s
u
med to be
constant in bo
th
the three
phase winding
sets.
5.3 Vari
ati
o
n of
power
ou
tput with stator
current
The variation of
the power output with the stato
r
current
express
e
d both in per units when the sh
unt excitation
capacitances being connected
to
both the
th
ree ph
ase winding sets
is shown in Fig.
ure 7.
The slope
1 corresponds to
when
speed is 0.95per
unit while slope 2 corresponds to speed 1 per unit
respectively
.
I
t
is seen that
wh
en the speed is
varied
from 0.95 per
un
it to
1 p
e
r un
it, the stat
or
currents are below
the r
a
ted
valu
e.
The r
a
nge of
capacitance th
at can be
used for
excitation six
-
phase self
excited induction
g
e
ner
a
tor
under the
conditions when
capacitan
ce con
n
ected to both the three phas
e
winding sets, ca
pacitance connected to one of the three
phase winding
sets and
when bo
th sets of
three p
h
as
e winding
eq
uall
y
load
ed
is
d
e
picted in Table 2.
Figure 6.Variation of terminal
v
o
ltag
e
in
per
unit
with
the pr
im
e m
over
s
p
eed
Figure 7.Variation of power
output with
stator
current
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94
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Vo
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7
,
No
.
2
,
Jun
e
2
016
:
56
1-5
67
56
6
Tabl
e 2
.
Th
e r
a
n
g
e of
cap
ac
itan
c
e
6.
CO
NCL
USI
O
N
In this paper
a
m
a
them
atical m
odel using nodal
adm
itta
n
ce t
ech
nique has been anal
y
z
ed and gen
e
ti
c algor
ith
m
techn
i
que h
a
s b
een proposed
to
determine
r
e
quired capacitance
value to
main
tain terminal voltage
constant
at d
i
fferent
s
p
eeds
.
F
r
om
the range of cap
ac
itan
ce obta
i
ned t
h
e capa
c
i
t
anc
e
value is
chos
en to
obtain rat
e
d val
u
e of term
inal v
o
lta
g
e
.It is observed
that the machine
is self
excited w
h
en correct valu
e
of shunt excited capacitor
is
co
nnected to both
of the
three phase wind
ing sets or
an
y
o
n
e of
the thr
ee p
h
ase winding
sets.
APPE
NDI
X
The m
ach
ine
par
a
m
e
ters
are
as
fo
llows
:
M
a
gneti
zat
ion c
h
arac
teris
t
ics
V
g
/F
=1.2-0.2X
M
for X
M
<1
.8
V
g
/F
=2.6-0.9X
M
for X
M
≥
1.8
R
S1
=6.9
Ω
R
S2
=6.9
Ω
X
S1
=3.5
Ω
X
S2
=3.5
Ω
R
r
=1
Ω
V=230v
N=1500
F=50
LIST OF
SYMBOLS
R
s1
, R
s2
stator r
e
sistan
ce
per phase of
two
stator
winding
sets
R
s
, R
r
stator
and ro
tor r
e
sistances per
ph
ase
R
M
sta
t
or re
sista
n
c
e
pe
r pha
se
R
1M
, R
1A
main winding
an
d auxiliar
y
wind
ing per
phase (referred
to stator)
r
e
sistance
R
L1
, R
L2
Load r
e
sistan
ce
per phase for
tw
o winding sets
R
L
, X
L
Load r
e
s
i
s
t
an
ce
and re
ac
tanc
e p
e
r phas
e
X
S1
, X
S2
Leak
age
rea
c
t
a
n
ce p
e
r ph
as
e of
t
w
o s
t
ator wind
in
g s
e
ts
X
ls
, X
1r
Leak
age
rea
c
t
a
n
ce p
e
r ph
as
e of
s
t
ator
and
rotor
as
refe
rred
to s
t
ato
r
X
r
Leak
age
rea
c
t
a
n
ce p
e
r ph
as
e of
r
o
tor as
r
e
ferr
ed
t
o
s
t
ator
X
lm
Com
m
on
m
u
tual
Le
akag
e r
eac
tan
ce b
e
twe
e
n two
s
e
ts
of s
t
a
t
or win
d
ing s
e
ts
X
c1
, X
c2
Capac
itiv
e r
eac
t
a
nce
of
cap
aci
to
rs of two st
ator
winding sets
X
csh1
, X
csh2
S
e
ries
c
a
pa
cit
i
ve
rea
c
t
a
nce of
two cap
acitan
c
e sets
X
L1
, X
L2
Leak
age
rea
c
t
a
n
ce p
e
r ph
as
e of
s
t
ator
and
rotor
as
refe
rred
to s
t
ato
r
X
L1
, X
L2
load
inductive reactance per
phas
e
of
two winding
set
I
S1
, I
S2
stator
curren
t
per phase of winding set
I
M
, I
A
main winding
an
d auxiliar
y
wi
nd
ing per
phase cu
rrent
I
C1
, I
C2
shunt cap
acitiv
e
per phase curr
en
t of wind
ing
I
L1
, I
L2
load
curren
t
per
phase of
two winding sets
I
S
, I
r
, I
L
s
t
ator,
rotor
and
load
curren
t
pe
r
phas
e
V
T1
, V
T2
terminal voltage
per pha
se of
two
winding set
V
L
, I
L
load vo
ltag
e
and
load
curr
ent
per
phas
e
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itan
c
e
Load
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p
eed in
per
unit
Capac
itan
c
e
in
µF
Capac
itan
c
e
in
b
o
th th
e thr
e
e
pha
se
se
ts
Both sets
are
eq
uall
y
loaded
0.95
38-50
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Capac
itan
c
e
in
o
n
e of
the
thre
e pha
se se
ts
Both sets
are
eq
uall
y
loaded
0.95
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PED
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:
208
8-8
6
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4
Estima
tion
o
f
Excita
tio
n
C
apa
cita
n
c
e Req
u
i
remen
t
o
f
an
Iso
l
a
t
ed Mu
lti-ph
a
s
e … (Alo
k
Ku
ma
r Moh
a
n
t
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56
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BIOGRAP
HI
ES OF
AUTH
ORS
Alok Kumar
Mohanty
h
a
s completed his Bachel
ors degree in
Electr
i
cal Engineering under
BPUT,Odisha,In
dia in th
e
y
e
ar 2005.He has comple
ted his Masters in Electrical
Engineering in
2010 from NIT,Durgapur
,India.Curren
t
ly
he
is a
R
e
sear
ch scholar in
th
e Department
o
f
Electrical and
Electronics Engineer
ing in NIT,
Jamshedpur,Ind
ia.His field of intrest include
Ele
c
tri
cal
M
ach
i
n
es
and Dr
ives
a
nd the
i
r
appli
cat
i
ons
.
K B
Yadav has com
p
leted his PhD degree in
Ele
c
tri
cal Eng
i
n
eering from
Indian Institut
e
of
Techno
log
y
,Roo
rkee, Ind
i
a
.
Curr
entl
y he is
wo
rking as
an As
s
o
ciat
e P
r
ofes
s
o
r in the the
Department of
Electrical and
Electronics Eng
i
n
eering
in NIT,
J
a
mshedpur,India. His field of
intrest
inc
l
ude
E
l
ec
tric
al
M
achin
es
and Dr
ives
.
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