h5a verzosa residual compensation

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  • 7/29/2019 H5a Verzosa Residual Compensation

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    Working Group H5A "CommonFormat for Configuration data

    Residual Compensation

    J un Verzosa

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    Residual Compensation or

    Zero-sequence Compensation?

    Names of Factors in Use by various relays

    KNmag and KNangle

    K0mag and K0angle

    RG/RL and XG/XL (or RE/RL and XE/XLor KR and KX)

    Z0/Z1 mag and Z0/Z1 ang (or Z1ang, Z0ang)

    No factor used in setting but calculated internallybased on Z1 and Z0 (or R1, X1, R0, X0)

    Etc.

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    Residual Compensation or

    Zero-sequence Compensation?Formulas Used by some relays

    KN or KG of KE or K0 or KZN= ZN /Z1 = (Z0 - Z1) / 3 Z1

    = (Z0/Z1 1) / 3

    K0 = Z0/Z1 -1K0 = Z0/Z1

    === 1

    1

    0

    3

    1

    R

    R

    RL

    RE

    RL

    RGkR

    Kr and Kx are not applicable

    to MHO characteristics

    Different formulas are

    attached to factor symbol K0.KN factor has only one

    formula.

    === 11

    0

    3

    1

    X

    X

    XL

    XE

    XL

    XGkX

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    Residual Compensation or

    Zero-sequence Compensation?EA Z1Zs

    EB Z1Zs

    EC Z1Zs

    ZNZNs

    RelayLocation

    IA

    IC =0

    IN =residual current= 3I0

    IB = 0

    VaR

    Ph ANFault

    F

    = (Z0 - Z1)/3

    KN = ZN / Z1 = (Z0 Z1) / 3Z1

    ZN = KN * Z1

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    Residual Compensation or

    Zero-sequence Compensation?

    Residual Compensation:

    Zrelay = VaR /(Ia + KN*IN) = Z1

    where: KN = ZN/Z1 = (Z0 Z1) / 3Z1

    = (Z0/Z1 -1 ) / 3

    Zero-sequence Compensation:Zrelay = VaR /(Ia + K0*I0) = Z1

    where: K0 = Z0/Z1 -1

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    Residual Compensation or

    Zero-sequence Compensation?

    ZL = RL+jXL

    ZE = RE+jXEZG = RG+jXG

    === 1

    1

    0

    3

    1

    R

    R

    RL

    RE

    RL

    RGkR

    === 1

    1

    0

    3

    1

    X

    X

    XL

    XE

    XL

    XGkX

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    Residual Compensation or

    Zero-sequence Compensation? IEC61850

    Inconsistent use of names

    Residual current (IN) is NOT Equal to

    Zero-sequence current (I0) IN = 3 * I0

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    Residual Compensation or

    Zero-sequence Compensation? Suggestion 1:

    Name = Residual compensation factorResidual compensation type (ResCompType):

    KNfactor or

    KrKxfactor (applies to polygon only) RFLoop (true/false) (applies to polygon only)

    KNfactor consists of:

    KNmag - residual impedance compensation factor magnitude

    KNang - residual impedance compensation factor angle

    KrKxfactor consists of:

    KR - residual resistance compensation factor KX - residual reactance compensation factor

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    Residual Compensation or

    Zero-sequence Compensation?

    KNfactor consists of:

    KNmag - residual impedance compensation factor magnitude

    = magnitude of (Z0/Z1 1) / 3

    KNang - residual impedance compensation factor angle

    = argument of (Z0/Z1 1) / 3

    KrKxfactor consists of:

    KR - residual resistance compensation factor

    = (R0/R1 -1) / 3 KX - residual reactance compensation factor

    = (X0/X1 -1) / 3

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    Residual Compensation

    Suggestion 2 Add RFmode (applies to polygon char. only) Mode1: RFLoop = RF

    Mode2: RFLoop = RF*(1+Kr) Mode3: ZFLoop = ZF*(1+KN)

    If RFmode is used then Residual Compensationneeds KNmag and KNang only (No Kr and Kx)since Kr and Kx can be calculated. However, theZone Characteristic Angle (ZCA) must be

    known; this is usually one of the Zone settings.

    Fault Loop Resistance Mode

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    How is the Fault

    Resistive Reach Set?

    Mode1: RFset = RFLoop

    Mode2: RFset = RFLoop / (1 + Kr)Mode3: RFset = RFLoop / (1 +KN)?

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    How are the Zone Reaches Set?Z1

    RFLoop

    VaR

    IaR

    AN fault

    21

    ZN

    Mode1: RFset = RFLoop

    Zset = Z1, kN = ZN/Z1

    Mode2: Zset = Z1

    Kr = (R0/R1-1)/3, Kx=(X0/X1-1)/3RFset = RFLoop / (1 + Kr)

    Mode3: Zset=Z1, KN = ZN/Z1

    RFset ~ RFLoop / (1 + |KN|) approx. for small KNang

    Zset

    RFset

    VaR

    IaR

    AN fault

    21

    KN or Kr, Kx

    Notes:

    Z1 is the usual reachsetting of 75% to 85%of ZLine.

    RFoop includes some

    added margin to takecare of remote infeedcurrent.

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    Calculating Kr and Kx

    from KNmag and KNangZone Characteristic Angle (ZCA) is not

    necessarily equal to the line angle; It is requiredfor RFmode2

    Kr = KNmagCos(KNang+ZCA) / Cos(ZCA)

    Kx = KNmagSin(KNang+ZCA) / Sin(ZCA)

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    Mode1: KN, RF = RFLoop

    ZPh

    ZL

    oop

    XPhLine

    XLoopLine

    RBli

    nd

    er

    RBli

    nd

    erLoop

    RBli

    nd

    erL

    oop

    RBli

    nd

    er

    TiltAngle

    TiltAngle

    O

    ZLoopAng ZLoopAng

    ZLoopAng RFLoop

    -RFLoop

    P1

    P2

    DirLoopAng

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    Mode2: KrKxfactor,

    RFLoop = RF * (1+Kr)

    ZLoop

    XPhLine

    XLoopLine

    RBli

    nd

    erLoop

    RBli

    nd

    erLoop

    ZphAngZphAng

    TiltAngle

    TiltAngleLoop

    O

    ZLoopAng ZLoopAngZLoopAng

    RFph

    -RFLoop

    P1

    P2

    DirAngDirLoopAng1

    RFLoop

    - RFph

    DirLoopAng2

    RLoop = RPh (1 + Kr) XLoop = XPh (1 + Kx)

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    Mode3: KN,

    ZFLoop = ZF * (1+KN)Z1L

    P4L

    P2L

    P3L

    P3

    Z1P2

    P4

    Per Phase

    Characteristic

    Loop

    Characteristic

    O

    P2

    P5L

    P4L

    P3L

    P2LP1L

    P6

    P5

    P3

    P4P1

    P6LRFph

    RLoop = ZLoop*Cos(ZLoopAng)

    XLoop = ZLoop*Sin(ZLoopAng)

    ZLoop = ZPh*(1+KN)

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    Mode3: KN,

    ZFLoop = ZF * (1+KN)

    ZPh

    ZL

    oop

    XPhLine

    XLoopLine

    RBli

    nd

    erLoo

    p

    ZphAng

    TiltAngle

    TiltAngle

    O

    ZLoopAng ZLoopAngZLoopAng RFph

    -RFLoop

    P1

    P2

    RFLoop

    Applies to characteristic angle and resistiveblinders only, not the reactance lines.

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    Comparison of

    Mode1, Mode2 and Mode3

    XPhLine

    XLoopLine

    TiltAngle

    TiltAngle

    O

    ZLoopAng ZLoopAngZLoopAngRFLoop

    -RFLoop

    P1

    P2

    DirLoopAng

    ZPh

    ZL

    oo

    p

    XLoopLine

    RBli

    nderLoop

    RBli

    nd

    erLoop

    ZphAngZphAng

    TiltAngle

    TiltAngleLoop

    O

    ZLoopAngZLoopAngRFph

    -RFLoop

    P1

    P2

    DirAngDirLoopAng1

    RFLoop

    - RFph

    ZPh

    ZL

    oo

    p

    RBli

    nderLoop