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k V I z phi R X dz rad
500 -0.032221 -0.156848 599.6978 86.0632 41.17288 598.2828 samp/cyc
501 34.59042 -0.128141 587.2501 74.47057 157.2264 565.8114 2410.212
0.6
0.8
1
dz/dt (ohms/cycledz
20 40 60 80 100 120 140 160 180540
550
560
570
580
590
600
610Swing Plot
0 200 400 600 800 1000 1200 1400
-100
-80
-60
-40
-20
0
20
40
60
80
100 V & I signals (phase A)
#d$%st &r
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0 200 400 600 800 1000 1200 1400 1600
65
70
75
80
85
90
Phase Angle
0 200 400 600 800 1000 1200 1400 1600 1800
0
0.2
0.4
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k V
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0.017453
20
1600 1800 2000
!
"
aph 'cale
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ol%m) *
2000
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I z phi R X dz
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Simulation of Power Swings or dz/dt
'tat+o) ,ame &*-#'-220!
t ,ame +)e1
,om+)al re%e)cy 50 z
'ampl+) Rate 1000 samples/seco)d
Power Swing Simulation (asynchronous)mag phi f o+)ts
s 67 ! 0 de 60 z t1
r 65 ! 0 de 59 z t2
!s 3 hm 90 de t3
!r 3 hm 90 de t4
!" 5 hm 85 de t5
t6
re-s+) d%rat+o) (m+)+m% 0.5 s (prea%lt c%rre)t +s zero t7,o. o s+) cycles or t%r)s 3 t8
or '+) d%rat+o) 3 s t9
t10
ollo+) opt+o)s +ll recalc%late ao:e :al%es o ;s a)d ;r
10 # !R prea%lt
'o%rce ;
p < 1.2 p% o l+)e ; (=/- 0 to 2 ;s (sy)ch
rom relay locat+o) ;s> (tra)s+e)t
?a@ c%rre)tA
Botal d%rat+o)
#dd+t+o)al eat
dz/dt Si
+m+t c%rre)t ampl+t%de toA
Simulate PowerSwing
Simulate
'pec+y electr+cal ce)ter
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,B*'A
1. " dzdt +s )ot %sedC t
2. " po+)t d%rat+o) +s )
3. or ;s to %seC e)ter
F+st etee) +))er a)B+me etee) +))er a
;maC hm #)leC de dzdtC ohms/s d%rat+o)C s ;s to %se Fescr+pt+o) R X
12 2 1 sy) load 11.99269 0.418794
4 2 10 0 sy) s+) 1 3.997563 0.139598
5 173 2 0 sy) s+) 2 -4.962731 0.609347
2 80 0.2 sy) 3ph lt 0.347296 1.969616
sy) 0.347296 1.969616
tra) 0.347296 1.969616
sy) 0.347296 1.969616sy) 0.347296 1.969616
sy) 0.347296 1.969616
tra) 0.347296 1.969616
69 ! " th+s determ
?a #)le ;s/;t locat+o) o
10 hms 80 de locat+o) o s+) ce)t
10 hms 80 de
9.007 #C calc%lated rom ;s> or ;s a)d !pre a)d ; o ts.
6.486 sC calc%lated
%res (%t%reA
t+me co)sta)ts or cha)+) etee) ;s a)d ;s>
each po+)t ca) ha:e d+ere)t :al%e o ;s or ;s>
%)l+m+ted )%mer o po+)ts
a%lt types h,C hh
parallel l+)es
3-term+)al l+)es
dc decreme)t
B sat%rat+o)
ulation (%p to 10 po+)ts
z/dt
-6 -4 -2 0 2 4 6 8 10 12 14
0
0.5
1
1.5
2
2.5Swing locus
#
$
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he cell may e let la)D or 0 e)tered or a h+h )%mer %p to 9999 may e e)tered. Bh+s mea) that the t+me et
ot %sedC e)ter 0. Bhe d%rat+o) may represe)t d%rat+o) o load or d%rat+o) o a a%lt.
Esy)E or syschro)o%s +mpeda)ce or Etra)E or tra)s+e)t +mpeda)ce
o%ter character+st+cs 1 hmsd o%ter character+st+cs 40 ms
dzdt < 25 hms/sec
Bh+s tale +s or a)alys+s o the pr
;maC h #)leC de dzdtC ohmsd%rat+o)C s ;s to %se r @
12 2 0 1 sy) 11.993 0.419
4 2 10 0 sy) 3.998 0.14
5 173 2 0 sy) -4.963 0.609
2 80 0 0.2 sy) 0.347 1.97
0 0 0 0 sy) 0.347 1.97
0 0 0 0 tra) 14.772 2.605
0 0 0 0 sy) 14.772 2.6050 0 0 0 sy) 6.761 1.812
0 0 0 0 sy) 1 1.732
0 0 0 0 tra) -7.727 2.071
0.707 0.707
+)es :al%e o total ; 0.707 0.707
relay rt totol ;
r - ho ar aay rom relayG H o reachG
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ee) to po+)ts +s +)sta)ta)eo%s s%ch as a a%lt.
la) dzdt ecomes dr