payallel optyalion of
Poberms
phost
loo.d împedente Oh
a
emf's
E
9mpe dent
voltage
Allirnato
in
genera.tovs opralt
Two Stngle
On
.u
Dedve
Z2 .
Z
of ther
ipterms
z nThelr
Sync hronous
The
Ea.
and
paval,
the
teimina!
emf's
and
adm: ttanc
Y,Y,
Detvmirethe terminal
of
each
E
lo vol
The
terminal voltage
and
voltag
machi ne ik
Z
E
100
3t14n
Zi
in Terms
2
E,, + ¬a
V
+ 4+Y
With
thc
iven
dala
0-2tJ1
0:2-j1
Y
O.1923
Kw
vol
Z-Z: 0.a tji4
impeden ts
Subs ttulung
and
j0.9615 S
af
emS
Y
3-j4
3+4
B)+4
0-12 016 S
Terminol votage
EN
V
+
EY
F00(0.1923-0.9615) +10 (0.1923j0-9615)
Bs bas
*(o:1923 - 10.9615)t0.12 j16
40. 383 301.91S
O 5046
jo. 083
305.914 E18 69
LTR
.14 32 -76138
Oad
9608(-23
V96 -3.8
,
E
vol
(-v)
ZI
00 (96- j3.83)|o 1923-jo.961s
1923-jo9615
polafiovesn
sagetb
pb
4 + j 3 8 2 ) (o.
e5.565 (44.05
5.45t
0.9808.69
-34.64Aap
E-V
(E-v)
O (96 -j 3.89)|o.1923 jo4615
14+3.89)o.1923-j0-965
14.53515.450.9805 8.65
14:34 -63.24Amps
Pouor o
o
M-1
V?
96:08
2
T
+2-3
5.4S 34.64
443 watts
0. 443
Powv p of machi -a
kw
Ve
9 6.08 (23
14.24 -63.34
664.8 w
0.665 KW
A
7
gn
is
3
MVA, 6-polt
3.3 kv
57.
and
Whtn
alnator
bus ba1S The
Calculat
Che
runs
at
000 Ypm
Synchrono0S eatan
Synchron?sing
powr
chantcal deqre
of displacemen
alty nator
me
The
Soppying
F.L.
at
0,8
P
Voltage
p
phoV=
3.3 x 1000
1
1905 V
Full load urront
3x 10
x
3.3x 1
5a5 A
No,
Xs
5% o19,05
4T6.25
V.
976.25
COT)
=0.9094
525
lalc
Pouo faco
r,
baaubir
cos d
0.8
Cog
lag
(o.8)
=
36.8
Sin 36-8
PhoxoY
e
0.6
da ar
2 2 2 4 Volg.
K-9.84
V
1905 e l t
936-8°
L= 5a5 A
2021-6-20
Kolo
S
elecicol dee ,iuw
in-
dis pla tement
Roto
d's plaumnt in
mech. dugu XP
2
3
07)
x
Yadians
0 05836
nduted emk
E V+jXs
1gos+
j5a5 (o.8- f0.6) X 0404
a190-8 3 +381. 1o8
83349.8Vol
Ogncho niSing
pouwen
.3Psy
fo 33sEv
38EV
Xs
3
x
Xs
0.05a36
X
2,234 x 1,9oS
CoS 9.
O. 9044
7,
O
a,56 3
W
3y702. 563 kW
nth ous
Tovgu
sy
3
ANS
60
72a, 563
(0XXlo00
60
T9
6,900 Nm
2021-6-20 0
7S0 kVA,
II
TthiStance
KV, 4-pol
3-
atte nabr
ha
of
1.4 Phase and a Xs f
Cat culat the Synchronos po
pr
mech.
deqne displaemont for f. for O.8 Pt
laging
he Bnlnal voltage
behg 11 kv.
30/phake
Volka/pho
XL000
= 6,351 Volg
1S0 X 1D00
h. CuYrunt
3 . 36 Amps
8x I1, 000
Oynchronous impedunu pu pha, p
Rotor
ndd a
Zs(l4 +j30) n
drs plattmunt 8 1Xx
,
eledaical
degt
x
elec aad an.
10
Yow tactor Cos
0.8
Phay ongu, d Cos (o.8)
Sind
Lnduced
"/Pha
6 i n 36. 81
36.87
= 0.6.
V+z
E
(6351+jo) +31.36 (o8-j06)*
Sun
103.56 +9u.58
E
C14-t3-
7162 (7.3 vo02 1-6-20
Phose dlagaro
E 7162 VV
da 3
6351V
g=3-8
Re
Isy -8.324 A
9:34.SA
Ssnchvonolsng em
&E Sin &
Esy
&x 162
sy
Sin 1
50 vollbd
a50
1:4 t30
8.324 (8E33 Amp
besis
lag
Es b1.33
a+
ynchonsing
pou
ov)
kod
by
0-81.3) 1e,
tor
3 phasy
Hah
3v1sy Coyi
-)
V
bubr
T000
3x6351*
8 329
COS
000
3
155. 68 KW
2021-6-2
Stmi lay
400V,
3-o
allw nats
a
balanctd
Shar
equal
k
4Tuwo
pouour
dell veye d
to
O-8 Pf lag load
TF
the
is 0-95 lagtind
h
Pf
Che
-ied
Oth
To tal load,
Rf
Pf
3-, 50 k
o
and
one
machint
uYYent
opp
machine.
P
50
Co
08
Co
(o-8)
36.8
Keaci ve
Plan d
Load,
powr of
5 0tan
36.87
3 1 . 5 kvAR.
Bus bs
m-
M-2
M-
ocd supplied
by
machine 1,
5
Phax
M-1,
angu
Kw
,
', ,
Keadu
pouotr a
Load
=COS 0.95
= 18.a°.
suppled by
M-1,
9, P,ao ,2026-20 1
= 8.22
kvAR
Pouo
by M-2
Suppled
k
Koacwe pown Supplied by M-2
-
3?5- 82
39. a8 kvAR
Phax angle
of
m-2
2.Tan
Tan 2928
P
44.51
Pourn fado
o M-2,
. Co
49.S
Co
0.6493 1 3
CUTnt
Suppled
b M-2,
8 XV x
e
cos co
às, x 1000
3x 400
3
x
0-6493
55.6 Armps.
2021 -6-20 1
3-
A
11,000 vola
Symchronovs
ha ving
TOAistan
negligible
200A
Sta
at
Connected tuboaloala
Teactance o 6
pphau
has an
armatur Curent
PfWhn Opuraung o
Oily
camstant equency, constant voltaq bus-bars.
the
Steam
admY Ssion
iTQ'Sid
emy
Valus
0
Yemal ns
the
Same and the
by057, deltimine the r
urm
p.f
Texminal voltage /PhoN
L000
V
3
6350 Vol
Reouctart/phax Xs 6
AvmalutCuiTunt,
P.f
a00A
COS p
1. D
CoS
At
Oniy
pf.
the
maclane d o p ? * s = Ta\s
vaoar
ti
The
0)
&00x 6
TX= 1200V.
phisor diaqram for
Cha
Condilo
E ' 8080 Volg
E6,6
DXs 1200v
1200v
V6350V
)-Tut
2021-6-20 1
en
The
gnevauo phat
V(6.350) (1,20)
6,4-64 V6lG
powu
keepinq
cilato n 1 ,
wl not Chan9
pow P
Pam
en
Che
The
u
Tsult
the
to
giveComponnt
laggin Te.a ce
demagneting efte
fncrtam
The
phasoY
is
T
the
is
dotttd
th
00 A 0
Onat
exilalon.
diagram 's givun ip*9 whith
the locuw of the
em phasor
Chat
Shous
in
which
main tld
Cht
The
meual ze
Oymalure UTYC
Unt
to RXs
aCux
aymalu
Component of
Cuy
befon
eadve
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per pha
neu
Componmt of aymalure uyYunt
exctaion, the & m qenuatid
E
135
l:25
X
64 6+
E 80go Vols
From pho01 diaqram
(Bo8o (G350 6,)+ (00 x6
+
6350 +6 ?y)
=
&0 80
20206-20
6350 +
6x
Cos o)(1200)
6350+ 6T
4,990
6P
990
vol
6350
19906 350
a13. 33 A
leuo
Value
of
aYmaurt
+
Cuyfnt,
6)
@0o +(a93. 33
338.4 Amps
Ned
P-f
Cosd
200
0.59 log
338.4
A
3novS
of
1 | kv
qnera toy
,
Sta
1o MW,
Conne clid Synmchvo
Synchron0Simpedence
ha
he encilaüon in
(0-84j8.0) /phax
Such
thar
Che
Detemine
Voltage 1 4 kv,
Max. p
(
Bus
0.C.
bar
th
of generalo
ununt
p.f
voltagpha, V
l000
Vol
Upun Cruit voltag
phaw, E
Oynchonous fmpedndapha
at mox. OP
Zs
vo
0-8+ B)
2024hr6-20 10
-tan Xg
nenol angle
Re
tan 8
9
Mox
84.3
powo // phon
cs
14000y O00
3
3
8-04
1000
804
63849u3 -49968
e
ox
poudu
(0 Tolal
Max
9P/pha
58,8 5,575 wal
5.886 MW
pouu o/p
3x
5. 886
1966 MW.
G) Currmt
a3sbiq dmax
CoYUApo ndingt
max
VEave cosb
roloi
11000
ma
p
(o8-2-0)
(1400
Cos
84.3
1215 Amps
Cors pond
Cotd
peioy d
P
Pman
Vma*
. Coso
5835, 5S
100
12IS
3
0.763
2021-6-20
Problums
500,
A
nous
The
Synchronos Molos
2.3 kV , 3-
moto
has
staConnectid
Zs
motoy
(o.2+1 2.2)
OPenakng
uoith a
Line
Curont
gunerat d
emb
pu phox
voltag
Pha
0.5 P.f.
leadiq
a00A Detamint
Input Curont,
Sopp
at
Synchro
Ke
00A
Va.3X1000
Phav
V F ,328 voll
Jnt nal angle
Tan Xs
Re
Tan 2
84 8
P-f,cos
0.5
o
CoS o.5)
=60
nchronous mpRduna phane,
Zs- Re+ xs
-00A
E128V
ER 441.8
-848
Vo.2y+ (22
V
328
V
ols
Impduna drop pha
ER
3Zs
800
E
From
Induud
Ch
emt) phow
x
.
a01
441 8 Volus
phnoY dhiaqra m
E
E-av
20 1
E
V0,328)+ (441.8- 2xi328 44)-8 xCos(60+
S
ota
E
6A
1H08
75 kW,
Vols
ws
Comput o
Puv
F.L.
phow
som
Gn Hidey
MoTo-înput
TAedwndy
O.C.
emt
levdoped.
po
mech
gros
the
lead
pf
0.8
0.4
O04
of
Teacran Ce /pha
Synchrpno
Tuislanu
a
ha
Connethd
slaY
400 V, 4 po&,
Sgnchpnous moto
-
84.8
93.57
xMoloy Outpuripno
75
=81.08
nnalo
kw
0.925
Armalu Curront
f Moto
pul
V8 V coo
81,081
3x 400 x 0:8
146
3A
dupoy voltag /pha
V 331Voll,
Reultant voltaqe ER Iz,
absg
1463 V00+ Ho4
E
Snund pha
ong
(0FU)22sv
G
58 81 V
Tans
R
0Tai o0286320 1
pply votag /pha
o
2000
V
1,
Indued emt/pha, E
Impecena dP phax
Volls
154 7
Joo0
Ep
1,154.9 v
2
200x 3
= 600
i n CuYTUmI =Tlp phan
Jntnal angle,
Ve l
Cuyym
= 9o
154.1 V
ER- 600
e-90
V- II54.
p15-06
T
V
00 A
sumingOmal Cuont lagomoq behid
Suprdy
vo ltage
Phaor
b
an
ang 9
diagyam
Os
Shown
o
Sic
A A06,
oex
ba
v+ ER-
VGp Cos (90-)
r59.9)054.)+(600)n a(usu) (60
bisoo0
ontlet (cos (a0-0)
(600
Cos (90-g)
bgolav
supr
X159.+x 600
Sing= 0-26
Aa
=026
2021-6-20
P - 14-6.3A
E66.18V
ER=85.S
Md-36-8
V 231 V
From
Ch
pha0
diaqTom,
v+ER 2VER Cos (O+d)
ax 231X 58.81
(23) +(58.81)
x
Cos (84.3+
36-8)
=F0 855
. E
,
66-18 volk
0.C.
Gros
Emb /pha
powu
mieh.
Pm
N
E = a66.18
os
devdo ped
VlL
au
3-
phau
3TRe
81,0813x (146.3) x 0.04oek
+8,512
Pm
A
Watu
78. 512 k
,000 V3moloy
at
4-po,
1500 pm),
Connee&d Sunchnou
he
0.C
Thertistanu s ntgl?g?ble
Ond
COnropond
nchronooy
pow
an
to
3./pha
lpPaoutachr
arma urr
(urront
Conylant
voltage o 3,000v.
Ccompond
an
adame o
enclaluon s
Deamine the
oY que de veloped foY
O 200 A
2021-6-20 1p
Sin
(0-26)
5.06
Pouou
faco
Powa |p
Cos 5 06
N V
=
0.966 clag)
Cosb
V3 X2000
200 x 0.96
X
6,69, 02
Pouer /e=669. 029 k
ToTque
devdoped Po0u p
ela
- Cu lowu in armalw
ANs u
60
(Neguc
Cu
lo
in
Avma
6,69,029
AN XISUD
60
Tor9
The
4259
en aion of
a 4ISV, 3-o
S4nchronouS molar is
500 V
emy
C
LO00 LG
P
A
he
frt ion
Calculal
man
SopP
Nn
Svch
h
that
connecba
the
Induce
impedona /pho (05+4or
iron losca
AreConutan ar
pow
he
Olp
Cint uYTm
Pouow .
votag /pha
V- 4ISv
nduud em /pha
E = 500V
Synthro now impedna /pha,
Z
myhn
Connuid
=(os)+4
Zs 40o21-6-20 1
an
Intonal
ang, -
8.9
Cowslan
Yalur
FoY
voltag, exdlal
soppy
of
tance,R
eytectave9nsis
be
develope
Noud, rom
phM0s
ang
Load
d Whun
20
man
Xs
Se62
diagram,
6-5RV
ERV+E-vecosS
o 82.9 8=
as)+ (50 -(a x4s
530Y (os 829
ER625 V/pha
noal aS=55A
sdodoad uTnt,9 =ER
ehin)
62
200nTt3
4:03
="IS5 A/pha
dine
CuYUnt1 (89
auu
Mox
3 xi55
d 68.
pou dexdloped
A
phoN
EVECosO
580X 9I
-
500 x02-1-6-20
403
.nec h) max
Max
pouou
95,355 Walll
toY
3-pha
3x 45055
Outpu pouwr
35,
+65 wala
Pou
dwelopd - on
viion
Lowu
135,465 -1000
1,34,765 WalG
./P
Total
Ppouu
134-.
765 kw
Copp owes 31R
3x
(155) x 0.S
36, 000 alh
/p
to
mo
=
Tow
dwdo pd
, 3 5 , 765
Coppe lo
+
+3 6, 000
,71, F65 waltu
P
Cos$
npu in al
1,41, 46S
v
Cos
8x 9ISx Q68.2
0-89
Outpu
X t00
fnpu
134,16S
x 100
,41,46S
78 462
2021-6-20 10-