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