1.05 - análisis de oscilografía (38)

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    2

    )cos()( += tYty m

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    Eje Real

    Eje Imaginario

    Yr

    a

    b

    3

    jbaY +=

    r

    )Im(

    )Re(

    Yb

    Yar

    r

    =

    =

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    4

    ( ) tjeYty r

    Re2=

    jjm Yee

    YY == 2

    r

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    5

    )(:2

    sincos

    tydermsValorY

    YDonde

    jYYY

    YYeY

    m

    j

    =

    +=

    ==

    r

    r

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    ( )

    +=

    == ++

    :Tan toloPorA"fasordelAngulo"Significa

    / )(

    A

    A

    AAeA j

    r

    r

    r

    6

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    Eje Real

    Eje Imaginario

    =YYr

    sinY

    cosY7

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    8

    2*

    )(/*

    )(/

    :cinMultiplica

    /

    /

    :Dado

    AAA

    ABBA

    ABBA

    BB

    AA

    =

    =

    +=

    =

    =

    rr

    rr

    rr

    r

    r

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    n

    j

    nn

    jnnnjn

    j

    eA

    eAAeA

    BAe

    BA

    BA

    =

    ==

    ==

    A

    )()(:cinExponencia

    )(/:Divisin)(

    9

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    V

    I

    I

    V Z

    ( )

    ciaInducX

    sistenciaR

    jZZjXRZ

    ZI

    V

    I

    V

    I

    VZ IV

    I

    V

    tan

    Re

    sincos

    /

    =

    =

    +=+=

    ==

    ==

    r

    r

    r

    Impedancia

    10

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    I

    + V -

    R

    Resistencia Inductancia Capacitancia

    I

    + V -

    LI

    + V -

    C

    V

    I

    I

    V

    I

    V

    = 0 = 90 = - 90

    11

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    13

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    R

    X

    r

    -r

    r-r

    Area

    rZ ||r

    22|| XRZZ

    jXRZ

    +==

    +=r

    r

    14

    R

    X

    Z

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    Carga

    salienteCargaEntrante

    MximaCarga

    X

    R

    15

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    =

    =

    IVIVP ** ReRe

    =

    =

    IVIVQ**

    ImIm

    jQPIVS +==

    *rrr

    I

    V

    Z

    16

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    17

    Comportamiento de la corriente decortocircuito de un Generador Sncrono:

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    18

    X''d

    X'dXd

    Xd(t)

    Comportamiento de la corriente decortocircuito de un Generador Sncrono:

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    0.49990.37990.26000.14000.0200-0.1000 [s]

    40.00

    20.00

    0.00

    -20.00

    -40.00

    GS1: Phase Current A in kA

    GS1: Phase Current B in kA

    GS1: Phase Current C in kA

    0.021 s39.709 kA

    0.029 s1.241 kA

    0.483 s-9.609 kA

    0.475 s14.543 kA

    DIgSILENT

    Falla trifsica en bornes

    de generador:

    N

    R

    Generador Transformador Lnea

    R

    19

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    Falla trifsica: N

    R

    Generador TransformadorLnea

    R

    Line1:m:I:bus1:A A Line1:m:I:bus1:B B Line1:m:I:bus1:C C

    t/s-0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08

    I/kA

    -1.0

    0.0

    1.0

    Line1:m:u:bus1:B B Line1:m:u:bus1:A A Line1:m:u:bus1:C C

    t/s-0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08

    p.u.

    -1.0

    -0.5

    0.0

    0.5

    20

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    Ia

    Ib

    Ic

    Va

    Vb

    Vc

    Fasores previa a la falla Fasores durante la falla

    Ib

    Ic

    Ia

    Va

    VbVc

    Falla trifsica:

    21

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    Falla monofsica a tierra:

    Line1:m:I:bus1:A A Line1:m:I:bus1:B B Line1:m:I:bus1:C C

    t/s-0.025 -0.000 0.025 0.050 0.075 0.100 0.125 0.150

    I/kA

    -1.0

    -0.5

    0.0

    0.5

    i i i

    t/s-0.025 -0.000 0.025 0.050 0.075 0.100 0.125 0.150

    p.u.

    -1.0

    0.0

    1.0

    N

    R

    Generador Transformador Lnea

    R

    22

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    Ia

    Ib

    Ic

    Va

    Vb

    Vc

    Fasores previa a la falla Fasores durante la falla

    Ib

    IcIa

    Va

    VbVc

    Falla monofsica a tierra:

    23

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    Falla bifsica aislada:

    Line1:m:I:bus1:A A Line1:m:I:bus1:B B Line1:m:I:bus1:C C

    t/s-0.03 -0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10

    I/kA

    -1.0

    0.0

    1.0

    Line1:m:u:bus1:B B Line1:m:u:bus1:A A Line1:m:u:bus1:C C

    t/s-0.03 -0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10

    p.u.

    -1.0

    0.0

    1.0

    N

    R

    Generador Transformador Lnea

    R

    24

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    Falla bifsica a tierra: N

    R

    Generador Transformador Lnea

    R

    Line1:m:I:bus1:A A Line1:m:I:bus1:B B Line1:m:I:bus1:C C

    t/s-0.03 -0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.11

    I/kA

    -1.0

    0.0

    1.0

    IE*

    t/s-0.03 -0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.11

    IE*/kA

    -1.0

    -0.5

    0.0

    0.5

    Line1:m:u:bus1:B B Line1:m:u:bus1:A A Line1:m:u:bus1:C C

    t/s-0.03 -0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.11

    p.u.

    -1.0

    -0.5

    0.0

    0.5

    1.0

    25

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    Una fase abierta: N

    R

    Generador Transformador Lnea

    R

    Line1:m:I:bus1:A A Line1:m:I:bus1:B B Line1:m:I:bus1:C C

    t/s0.06 0.08 0.10 0.12 0.14 0.16 0.18 0.20 0.22 0.24

    I/A

    -300

    -200

    -100

    0

    100

    200

    300

    Line1:m:u:bus1:B B Line1:m:u:bus1:A A Line1:m:u:bus1:C C

    t/s0.06 0.08 0.10 0.12 0.14 0.16 0.18 0.20 0.22 0.24

    p.u.

    -1.0

    0.0

    1.0

    26

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    t/s-0.4 -0.2 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    iL1/ A

    -1.0

    0.0

    t/s-0.4 -0.2 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    iL2/ A

    -1.0

    0.0

    1.0

    t/s-0.4 -0.2 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    iL3/ A

    -5.0

    -2.5

    0.0

    2.5

    t/s-0.4 -0.2 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    iE/ A

    -3

    -2

    -1

    0

    1

    2

    t/s-0.4 -0.2 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    uL1/ V

    -50

    0

    50

    t/s-0.4 -0.2 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    uL2/ V

    -50

    0

    50

    t/s-0.4 -0.2 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    uL3/ V

    -50

    0

    50

    t/s-0.4 -0.2 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    YN2/ V

    -50

    0

    50

    Recierre monofsico en la L-1005 ocurrido el 21.04.2014, registro S.E.Tintaya.

    27

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    K3:L-1105 IR A K3:L-1105 IS B K3:L-1105 IT C

    -0.25 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75

    I/kA

    -1.0

    0.0

    1.0

    K3:L-1105 IN N

    -0.25 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75

    K3:L-1105 IN N/kA

    -1.0

    0.0

    1.0

    K3:L-1105 UR A K3:L-1105 US B K3:L-1105 UT C

    -0.25 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75

    U/kV

    -100

    0

    100

    Rotura de conductor de la fase S entre el vano de las torres T184 yT185 de la lnea L-1105 (Chimbote 1 Huallanca) de 138 kV, ocurrida el21.04.2014 a las 21:58:05 h.

    Registro S.E. Huallanca

    28

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    Trigger12/02/2014

    12:37:07 a.m..000

    Ia Ib Ic

    t/s0.10 0.20 0.30 0.40 0.50

    I/A

    -2

    0

    2

    In

    t/s0.10 0.20 0.30 0.40 0.50

    In/A

    -10

    0

    Va Vb Vc

    t/s0.10 0.20 0.30 0.40 0.50

    U/V

    -100

    -50

    0

    50

    t/s0.10 0.20 0.30 0.40 0.50

    51N_P

    Trigger12/02/2014

    12:37:08 a.m..000

    Ia Ib Ic

    0.10 0.20

    I/A

    -30

    -20

    -10

    0

    10

    20

    In

    0.10 0.20

    In/A

    -200

    -100

    0

    100

    Va Vb Vc

    0.10 0.20

    U/V

    -100

    0

    0.10 0.20

    51N1_P51P_BP51P_CP

    51N_P

    Registro S.E. Chimbote 1

    Rotura de conductor de la fase S entre el vano de las torres T184 yT185 de la lnea L-1105 (Chimbote 1 Huallanca) de 138 kV, ocurrida el21.04.2014 a las 21:58:05 h.

    29

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    30

    IG= 0

    IT IS IR

    IR

    IS

    IT

    VR

    VS

    VT

    Fasores previa a una falla monofsica

    Sistema con neutro aislado:

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    IR

    IS

    IT

    VR

    VS

    VT

    Fasores previa a una falla monofsica

    IG

    IS

    IT

    VR

    VS

    VT

    IT IS

    IG

    Fasores con una falla monofsica en la fase R

    IG

    Falla en un sistema con neutro aislado:

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    R S T Rel 1

    Alimentador 1

    Alimentador 2Rel 2

    Falla en un sistema con neutro aislado:

    RED

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    Falla en un sistema con neutro aislado:

    3V0

    3I03I0

    Falla hacia atrzFalla hacia delante

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    |V1|aaaa1 |V2|aaaa2

    P1(t) P2(t)

    P12(t) P21(t)L

    1 2

    34

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    )cos(2

    )cos(2

    =

    =

    tIi

    tVv

    Z

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    ( ) += tVIVIp 2coscos

    )cos(1

    0

    Pr VIpdt

    T

    PT

    omedio

    ==

    V

    P = Vi

    i

    P

    36

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    I

    + V -

    Resistencia

    R

    = 0

    I

    + V -

    L

    Inductancia

    = 90

    I

    + V -

    C

    Capacitancia

    = -90

    This image cannot currently be displayed. This image cannot currently be displayed.

    Promedio = VI= I 2R Promedio = 0 Promedio = 0

    37

    )cos(2

    )cos(2

    =

    =

    tIi

    tVv

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