Toshiba GR200 Series Instruction Manual page 403

Line differential protection ied
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Calculation Principle
(i)
Calculation on two-terminal application
Figure 2.32-1 shows two IEDs exist at the end of the line GH. Voltages due to the fault are
calculated by Equation (2.32-1) and Equation (2.32-2).
Bus G
TT
IED G
TT
where,
V G :
Voltage at IED G
I G : Current at IED G
V H :
Voltage at IED H
I H :
Current at IED H
χ: Distance ratio of GF to GH
V f : Voltage at fault point
Z GH
:
Impedance on line GH
1
Substituting Equation (2.32-1) for Equation (2.32-2) gives,
The distance ratio (χ) is also calculated with the differential current (Id) because the net
currents at the IED G and the IED H are equal to the differential current (Id= I G +I H ):
Note: User should set the Z GH into Line1_Element. For further information, see section
1
2.32.5(ii). For setting methods, see section 2.32.6(iii).
Calculation on three-terminal application
The principle mentioned above is also applicable for the operation of three terminals, as shown
in Figure 2.32-2. Note that one of three calculations (Calc. 1 to 3) determines the fault location.
F
Fault
V G
TT
V f
I G
Z GH
× Z GH
Figure 2.32-1 IED G and IED H on line GH
��
− χ ∙ Z
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− ( 1 − χ ) ∙ Z
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− ��
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χ =
Z
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− ��
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χ =
- 380 -
V H
IED H
I H
TT
(1−)× Z GH
∙ ��
= ��
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∙ ��
= ��
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+ Z
∙ ��
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∙ ( ��
)
+ ��
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+ Z
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Z
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6F2S1914 (0.49)
Bus H
TT
(2.32-1)
(2.32-2)
(2.32-3)
(2.32-4)
GRL200 (Soft 033 & 037)

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