Power Swing 2

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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