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Care must be taken when specifying these values to the transformer manufacturer. The impedance<br />

value, whether it is commutating impedance or short-circuit impedance, and kVA base are extremely<br />

important.<br />

Use ANSI/IEEE C57.18.10 as a reference for commutating impedance. The tables of circuits in this<br />

reference are also useful.<br />

2.4.5 Secondary Coupling<br />

Three-winding transformers with one primary winding and two secondary windings, such as Circuit 31<br />

(Figure 2.4.4), Circuit 45 (Figure 2.4.5), and Circuit 46 (Figure 2.4.6), can be constructed as tightly<br />

coupled secondary windings or as loosely coupled or uncoupled secondary windings. The leakage reactance<br />

is common to the tightly coupled secondary windings but is independent for the uncoupled<br />

secondary windings.<br />

If two separate transformers were constructed on separate cores, the couplings would be completely<br />

independent of one another, i.e., uncoupled. When the windings of one of these transformers are<br />

combined on a common core, there can be varying degrees of coupling, depending on the transformer<br />

construction.<br />

Some transformers must be made with tightly coupled windings. This is commonly accomplished by<br />

winding the secondary windings in an interleaved or bifilar fashion. This is almost always done with lowvoltage,<br />

high-current windings. Higher-voltage windings would have high-voltage stresses from this type<br />

51<br />

H 1<br />

FIGURE 2.4.9 ANSI Circuit 51. (From ANSI/IEEE C57.18.10-1998. © IEEE 1998. With permission.)<br />

51A<br />

H 1<br />

H 2<br />

H<br />

2<br />

N 1 R<br />

3 N 2 R<br />

2<br />

30¡<br />

H R1<br />

R R<br />

3 5 6<br />

WYE, SIX PHASE, PARALLEL DOUBLE WYE<br />

WITH SINGLE INTERPHASE TRANSFORMER.<br />

H 3<br />

30¡<br />

N 1<br />

R<br />

3<br />

R 1<br />

S 1<br />

N 2 N 3<br />

R2 R 4<br />

R 5<br />

R6<br />

N 3 N 0<br />

N 4<br />

S<br />

R 3 4<br />

S 2 S<br />

4<br />

S 1<br />

N 0<br />

S<br />

3<br />

S 5<br />

S 2<br />

S 5<br />

S 6<br />

N 4<br />

S<br />

4<br />

S 6<br />

50<br />

H<br />

2<br />

N 1<br />

R R<br />

3 2<br />

N 2<br />

N 3<br />

N 0<br />

S 3<br />

N<br />

S 4<br />

2<br />

WYE, SIX PHASE, PARALLEL DOUBLE WYE<br />

WITH TWO INTERPHASE TRANSFORMERS.<br />

FIGURE 2.4.10 ANSI Circuit 51A. (From ANSI/IEEE C57.18.10-1998. © IEEE 1998. With permission.)<br />

H<br />

1<br />

H<br />

3<br />

R1<br />

R<br />

4<br />

S1<br />

S 4<br />

52<br />

N 0<br />

R R<br />

5 6<br />

S 5<br />

DELTA, SIX PHASE, PARALLEL DOUBLE WYE<br />

WITH SINGLE INTERPHASE TRANSFORMER.<br />

S 6<br />

H 1<br />

H<br />

2<br />

H<br />

2<br />

H H<br />

3<br />

1 H<br />

3<br />

30¡<br />

R<br />

5<br />

R 1<br />

N<br />

1<br />

R 3<br />

R 9<br />

N<br />

2<br />

R 11<br />

N<br />

3<br />

R7<br />

R2<br />

R 6<br />

R<br />

10<br />

R 4<br />

R<br />

12<br />

N 4<br />

R 8<br />

FIGURE 2.4.7 ANSI Circuit 50. (From ANSI/IEEE C57.18.10-1998. © IEEE 1998. With permission.)<br />

50A<br />

H<br />

1<br />

H<br />

2<br />

H<br />

3<br />

R 1<br />

N 1<br />

R 5<br />

R 6<br />

R<br />

4 S1<br />

DELTA, SIX PHASE, PARALLEL DOUBLE WYE<br />

WITH TWO INTERPHASE TRANSFORMERS.<br />

FIGURE 2.4.8 ANSI Circuit 50A. (From ANSI/IEEE C57.18.10-1998. © IEEE 1998. With permission.)<br />

R<br />

3<br />

N 2<br />

R<br />

2<br />

N 3<br />

N 0<br />

S<br />

3<br />

S 5<br />

S 2<br />

S 6<br />

N 4<br />

S<br />

4<br />

WYE DELTA, TWELVE PHASE, QUADRUPLE WYE<br />

FIGURE 2.4.11 ANSI Circuit 52. (From ANSI/IEEE C57.18.10-1998. © IEEE 1998. With permission.)<br />

of construction. However, the higher-current windings also benefit from the harmonic cancellation resulting<br />

from the close coupling of the secondary windings. This type of construction is usually required with<br />

Circuit 45 and 46 transformers and other single-way double-wye transformers. Such transformers would<br />

suffer from three-pulse harmonics without the tight coupling of the secondary windings.<br />

Secondary coupling is used in all types of traction-duty transformers. This offers the advantage of low<br />

commutating impedance with high short-circuit impedance. Harmonic cancellation also is accomplished<br />

in the secondary windings.<br />

The degree of coupling affects the magnitude of the fault current that can be produced at short circuit.<br />

If secondary circuits are paralleled, unbalanced commutation impedances can produce high fault currents.<br />

The degree of coupling can also affect the voltage regulation at high overloads, as can be seen in<br />

traction service or high-pulse duty.<br />

© 2004 by CRC Press LLC<br />

© 2004 by CRC Press LLC

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