Description
- GFD233A Differential current: < 0.03 × CT as the two winding currents are equal once
correctly transformed inside the relay.
- The loading of each winding would be 100% of rated.
The above results can be GFD233A verified with two adjustable sources of three-phase current. With
a single current source, how the relay performs the necessary phase angle corrections
must be taken into account. Table 5–1: Transformer types on page 5–13 shows that the Y
side currents are shifted by 30° to match the Delta secondary side. The 30° phase shift is
obtained from the equations below:
(EQ 7.7)
By injecting a current into Phase A of Winding 1 and Phase A of Winding 2 only, I W1b = I W1c
= 0 A. Therefore, if we assume an injected current of 1 × CT, the transformed Y-side currents
will be:
(EQ 7.8)
For the purposes of the differential elements only, the transformation has reduced the
current to 0.57 times its original value into Phase A, and created an apparent current into
Phase B, for the described injection condition. If a 1 × CT is now injected into Winding 1
Phase A, the following values for the differential GFD233A currents for all three phases should be
obtained:
Phase A differential: 0.57 × CT ∠0° Lag
Phase B differential: 0.57 × CT ∠180° Lag
Phase C: 0 × CT.
7.4.4.3 Effects of Zero-sequence Compensation Removal
Note
The transformation used to obtain the 30° phase shift on the Y-side automatically
removes the zero-sequence current from those signals. The 745 always removes the
zero-sequence current from the delta winding currents.
If the zero-sequence component is removed from the Delta-side winding currents, the
Winding 2 current values will change under unbalanced conditions. Consider the case
described above, with the 1 × CT injected into Phase A of Winding 2.
For the 1 × CT current, the zero-sequence value is 1/3 of 1.0 × CT or 0.333 × CT A. The value
for I W2a’ is therefore (1.0 – 0.333) × CT = 0.6667 × CT A. This value must be divided by the CT
error correction factor of 0.797 as described above.
Therefore, the value of differential current for GFD233A Phase A, when injecting 1 × CT in Winding 2
only, is:
(EQ 7.9)
The action of removing the zero-sequence current results in a current equal to the zero
sequence value introduced into phases B and C. Hence, the differential current for these
two elements is
Now, applying 1 × CT into Winding 1 Phase A and the same current into Phase A Winding 2,
but 180° out-of- phase to properly represent CT connections, the total differential current
in the Phase A element will be (0.57 – 0.84) × CT = –0.26 × CT. The injection of currents into
Phase A of Windings 1 and 2 in this manner introduces a differential current of (–0.57 × CT
+ 0.42 × CT) = –0.15 × CT into Phase B and (0.0 × CT + 0.42 × CT) = 0.42 × CT into Phase C.
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