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Differential Protection
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Power Transmission and Distribution
Principles of system protection technology
Transformer Differential Protection
Principles Transf. Diff 2
Basic principles : Kirchhoff’s knot rule
I1
I2
I3
I4
I1 + I2 + I3 + I4 = 0 ? ? I = 0
Basis for Differential-Protection:
Definition:Currents, which flow into the knot (protected object), are counted positive.Currents, which flow out of the knot (protected object), are counted negative.
Protection objects:Line, Transformer, Generator/Motor, Bus bar
Principles Transf. Diff 3
Basic principles: current comparison
IF
?I IDiff =¦ I1 + I2¦
IP1
IS1 IS2
IP2
external fault or load
Protectedobject
Protectedobject
IDiff =¦ I1 + I2¦
IS1 IS2
IP1
IS1 IS2
IP2
internal fault
? I
I1F I2F
Assumption: CT- ratio: 1/1IP1 = I1F
IP2 = I2F
IDiff = ¦ IP1 + IP2 ¦ = ¦ I1F + I2F ¦? Trip
Assumption: CT- ratio: 1/1IP1 = IF
IP2 = -IF
IDiff = ¦ IP1 + IP2 ¦ = IF - IF = 0? no Trip
Requirements for Differential Protection:
1) Internal faults ( faults between CT-sets ) ? Trip2) External faults ? no Trip
Principles Transf. Diff 4
Basic principles : restrained current comparison (1/2)
assumption: CT- ratio: 1/1IDiff = ¦ IS1 + IS2 ¦ = ¦ (1+e1)· IP1 + (1+e2)·IP2 ¦ =¦ 0.95· IP1 – 1.05· IP1¦ = 0.1·IP1
-normal operation: IP1 = IN
IDiff = 0.1·IP1 = 0.1·IN
-external fault: assumption: IP1 = 10·IN
IDiff = 0.1·IP1 = 1·IN
IF
IDiff = 0.1·IP1
IP1
IS1=0.95·IP1
IS2=1.05·IP2
IP2 = -IP1
Example: external fault with linear CT-errors
Protectedobject
?I
Ct 2:e2 = +5%
Ct 1:e1= - 5%
As the setting IDiff> for usual applicationslays below nominal current,it would cause a wrong trip in case ofexternal faults with heavy current!
Restrained characteristic necessary!
Principles Transf. Diff 5
Basic principles: restrained current comparison (2/2)
Under the following assumption¦ e1 ¦ = ¦ e2 ¦ and I1 = I2
the result for a conventionalDifferential Prot. characteristicshould be:IDiff = IDiff> + e1·I1 + e2·I2= IDiff> + 2·e1 ·I1
with IDiff> = setting
IDiff>
IDiff=¦ IS1+IS2¦
IRest =¦ IS1¦ +¦ IS2¦
IN
Resultingcharacteristic
Block
Trip
Linear error due todifferentCT transformation
Setting due tomagnetising or charging currents
2 10
IRest
IF
IDiff= ¦ IS1+ IS2¦IDiff = 0.1·IP1
IP1
IS1=0.95·IP1
IS2=1.05·IP2
IP2 = -IP1
Example: external fault with linear CT- errors
Protectedobject
IDiff
CT 2:e2 = + 5%
CT 1:e1= - 5%
IRest =¦ IS1¦ +¦ IS2¦IRest = 2·IP1
Principles Transf. Diff 6
Basic principles: measuring circuit for a 3-phase system
Rest. current
Diff.
ConventionalDifferential Protection
L1
L2
L3
Basic circuit for a 3- phase system:Generator / Motor / Reactor
Principles Transf. Diff 7
Transformer Differential Protection special qualities
Angle shifting N·30° due to vector group (0 = N = 11)for 3-phase transformers.
Different current values of the CT- sets on the high voltage side (HV)and on the low voltage side (LV)
Zero sequence current in case of external faults will causedifferential current
Transformer-tap changer, magnetising current
Transient currentsInrushCT-saturation
Principles Transf. Diff 8
3-phase Transformer: primary values
I1L1
I1L2I1L3
I2*L1 = -I1L1·ku /v3 + I1L2·ku /v3
I2L1?
I2L3?
? I1L1
Load: 100MVA ,vector group: Yd5 side 2: 20kV, 2887A side 1: 110kV, 525A
1L1
1L2
1L3
2L1
2L2
2L3? I1L2
I2L2?
? I1L3
I2*L1
I2*L3
I2*L2
750/1A3000/1A
kU = U1N/U2N = 110kV/20kV = 5.5kWinding = w1/w2 = kU/v3
I2*L3
I2*L2
5·30°
I2*L1
I1L1ku/v3
-I1L1ku /v3
I1L2ku /v3
Principles Transf. Diff 9
3-phase Transformer : secondary values
0.96A3000A
1A20kV3
100MVAI2
0.7A750A1A
110kV3100MVA
I1
II
U3S
I
L1sec
L1sec
NCTlprim
NCT1sec
N
NL1sec
???
?
???
?
??
?
I2L1sec = 0.96A , -150°
I1L1sec= 0.7A , 0°
IDiff L1 = ¦ I1L1sec+ I2L1sec¦
= 0.5A
Principles Transf. Diff 10
Vector group and current value adaptation in case of (1/2)conventional Transformer Differential Protection
nominal Load (no fault): 0.70A ·23Wdg = 0.555A ·29Wdg, IR = 0.555·v3 = 0.96A
Matching transformer-Vector group adaptation-Current value adaptation-Zero seq. current handling
ConventionalDifferential Prot.
L1
Rest. current
Diff.
L2
L3
Load: 100MVA ,vector group: YNd5 side 2: 20kV side1: 110kV
750/1A3000/1A ILoad=525A
0.7A0.96A
29 Wdg.
23Wdg.
2887A
IR
Principles Transf. Diff 11
Vector group and current value adaptation in case of (2/2)conventional Transformer Differential Protection
single pole fault HV -side: 5.73A ·23Wdg = 4.550A ·29Wdg , IR = 4.55A
Matching transformer-Vector group adaptation-Current value adaptation-Zero seq. current handling
ConventionalDifferential Prot.
L1
Rest. current
Diff.
L2
L3
~
~
~
Load: 100MVA ,vector group: YNd5 side 2: 20kV side1: 110kV
750/1A3000/1A
IP=4300A
3I0
5.73A4.55A
29 Wdg.
23Wdg.
13655A
IR
Principles Transf. Diff 12
Vector group and current value adaptation in case of (1/2)numerical Transformer Differential Protection
I1B
I1C
I1A
I2L1P ?
I2L2P ?
? I1L1P1L1
1L2
1L3
2L1
2L2
2L3
comparison?I
Io –handlingI2L2S
I2L1S
I2L3S
I2B
I2C
I2AVectorgroup
adaptation
Current value
adaptationCT 1
Io –handling I1L2S
I1L1S
I1L3S
I2L3P ?
Current value
adaptationCT 2
? I1L2P
? I1L3P
Load: 100MVA ,vector group: YNd5 side 2: 20kV side 1: 110kV
Numerical Transformer Differential Protection
CT 1750/1A
CT 23000/1A
Principles Transf. Diff 13
Vector group and current value adaptation in case of (2/2)numerical Transformer Differential Protection
Parameterisation of transformer and CT- datain a 7UT6 Differential Protection Device
Principles Transf. Diff 14
Tripping characteristic of Transformer Differential Protection
IDiff = f (IRest)IRest = |I1| + |I2|
2.0 8.0 9.0
3.0
InOIRest
InOI Diff
7.0
2.5
slope 1
slope 2
IDiff>
01.0 4.0 5.03.0 6.00
1.0
0.5
2.0
1.5
Trip
Block
Total error
CT- error
Tap changer error
Transf. magnetising current
45°
CT-errors , Tap changer , Magnetising current
Characteristic: InO = nominal current of the protected object
Principles Transf. Diff 15
Transient currents (with Harmonics) - Inrush of Transformers (1 of 2)
even2. Harm.Inrush
i1 I2 = 0
Y?
t = 0
i1 I2 = 0
-T1
-T2
Connecting -T2 in parallel with -T1(Sympathetic Inrush –T1)
t = 0Inrush -T2 t = 0
i1 iDiff = i1
t
iDiff = i1
-T1: iDiff = i1
i1
t
even2. Harm.Inrush
i1 i2 = 0
Y Y
t = 0
i1
t
Principles Transf. Diff 16
Inrush, cross block, over excitation [V/Hz] (2 of 2)
recognise inrush condition by evaluating the ratio 2nd harmonic I2har to basic wave IDiff.
Time limit for cross-block. Reliable reaction to the inrush condition with cross-block.Trip of a short circuit after the set time delay.
recognise over excitation [V/Hz] by evaluating the ratio 3rd or 5th harmonic to basic wave
Cross-block = Yes (blocking of all phases)
O R=1
L1-block
L2-block
L3-block
IDiff > trip blockingfor an adjustable time
filter window1 cycle
t1P 2P 3P
iRUSH= iDiff Inrush current
in one phase
Settingvalue
t
15 %
no block
blockDiff
2har
II
00
L1-block
L2-block
L3-block
Cross-block = No (phase separate blocking)
IDiff, L1 > trip blocking
IDiff, L2 > trip blocking
IDiff, L3 > trip blocking
Principles Transf. Diff 17
3 cyclesCross Blocking
Inrush
Internalfault
IDiff>>
IDiff>
Demonstration of Inrush with evolving fault
Principles Transf. Diff 18
Transient currents (with harmonics) (1/2)- Over excitation and CT- saturation
uneven5. Harm.
evenanduneven
Over excitation (U/f)UTr > UN
i1 i2
Internal fault withCT-saturation at theHigh voltage side
i1 I2 ˜ 0
LVHV
External fault withCT-saturation at theLow voltage side
i1 i2
LVHV
iDiff = i1 + i2
iDiff = i1 + i2
iDiff = i1
evenanduneven
Principles Transf. Diff 19
Transient currents (with harmonics) (2/2)- Over excitation and CT- saturation
0A 2 4 8 106 120
2
1
4
3
Tripping characteristic 7UT6
Trip6
7
16
IDiff>>
14
5
IDiff>
Add-onStabilisation
45°
InOI Rest
InOI Diff
Block
Begin of saturationB
DC
Principle of Add-on stabilisation for external faults
Principles Transf. Diff 20
Demonstration of add-on stabilisation
Add-Stabilisation
45°
Block
Trip
Principles Transf. Diff 21
Applications for Transformer Differential Protection
1 ½ CB methodon
one side
7UT6137UT633
three windingtransformer
1 or 3 phases
7UT6137UT633
two windingtransformer
1 or 3 phases
7UT6127UM62
1 ½ CB methodon two sides
7UT635
Unit Protection
Y
?
G3~
7UT635