GE L90, Instruction Manual

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10-22 L90 LINE CURRENT DIFFERENTIAL SYSTEM – INSTRUCTION MANUAL
DISTANCE ELEMENTS CHAPTER 10: THEORY OF OPERATION
10
• Z
L
— Left blinder characteristic impedance: Z
L
=
LFT BLD
× sin (
LFT BLD RCA
) × 1 ∠ (
LFT BLD RCA
+ 90°)
• K0 — Zero-sequence compensating factor: K0 = (
Z0/Z1 MAG
∠
Z0/Z1 ANG
) – 1
• K0M — Mutual zero-sequence compensating factor: K0M = 1/3 x
Z0M/Z1 MAG
∠
Z0m/Z1 ANG
• Θ — Non-homogeneity angle setting (
NON-HOMOGEN ANG
)
10.3.3.2 Directional mho characteristic
The dynamic 100% memory polarized mho characteristic is achieved by checking the angle between
•
AB phase element — (I
A
– I
B
) × Z – (V
A
– V
B
) and (V
A
– V
B
)_1M
• BC phase element — (I
B
– I
C
) × Z – (V
B
– V
C
) and (V
B
– V
C
)_1M
• CA phase element — (I
C
– I
A
) × Z – (V
C
– V
A
) and (V
C
– V
A
)_1M
• A ground element — I
A
× Z + I_0 × K0 × Z + I
G
× K0M × Z – V
A
and V
A
_1M
• B ground element — I
B
× Z + I_0 × K0 × Z + I
G
× K0M × Z – V
B
and V
B
_1M
• C ground element — I
C
× Z + I_0 × K0 × Z + I
G
× K0M × Z – V
C
and V
C
_1M
The limit angle of the comparator is adjustable, enabling the user to shape the characteristic as an mho or a lens as shown
in the figure. As explained in the Memory Polarization section, the memory-polarized mho characteristic has an excellent
directional integrity built-in.
Figure 10-9: Mho (left) and lens (right) characteristics
10.3.3.3 Non-directional mho characteristics
The non-directional mho characteristic is achieved by checking the angle between
•
AB phase element — (I
A
– I
B
) × Z – (V
A
– V
B
) and (V
A
– V
B
) – (I
A
– I
B
) × Z
REV
• BC phase element — (I
B
– I
C
)
×
Z – (V
B
– V
C
) and (V
B
– V
C
) – (I
B
– I
C
)
×
Z
REV
• CA phase element — (I
C
– I
A
) × Z – (V
C
– V
A
) and (V
C
– V
A
) – (I
C
– I
A
) × Z
REV
• A ground element — I
A
× Z + I_0 × K0 × Z + I
G
× K0M × Z – V
A
and V
A
– (I
A
× Z
REV
+ I_0 × K0 × Z
REV
+ I
G
× K0M × Z
REV
)
• B ground element — I
B
× Z + I_0 × K0 × Z + I
G
× K0M × Z – V
B
and V
B
– (I
B
× Z
REV
+ I_0 × K0 × Z
REV
+ I
G
× K0M × Z
REV
)
• C ground element — I
C
×
Z + I_0
×
K0
×
Z + I
G
×
K0M
×
Z – V
C
and V
C
– (I
C
×
Z
REV
+ I_0
×
K0
×
Z
REV
+ I
G
×
K0M
×
Z
REV
)
10.3.3.4 Mho reactance characteristic for directional applications
The reactance characteristic is achieved by checking the angle between
•
AB phase element — (I
A
– I
B
) × Z – (V
A
– V
B
) and (I
A
– I
B
) × Z
• BC phase element — (I
B
– I
C
) × Z – (V
B
– V
C
) and (I
B
– I
C
) × Z
• CA phase element — (I
C
– I
A
) × Z – (V
C
– V
A
) and (I
C
– I
A
) × Z
• A ground element — I
A
× Z + I_0 × K0 × Z + I
G
× K0M × Z – V
A
and I_0 × Z
• B ground element — I
B
×
Z + I_0
×
K0
×
Z + I
G
×
K0M
×
Z – V
B
and I_0
×
Z