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[James_H._Harlow]_Electric_Power_Transformer_Engin(BookSee.org)

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TABLE 2.4.7 Required Number of Six-Pulse Windings and Connections<br />

Pulse<br />

Number<br />

Number of Six-Pulse Windings and Typical Connections<br />

1 2 3 4 5 6 7 8<br />

6 delta — — — — — — —<br />

or wye<br />

12 delta wye — — — — — —<br />

18 delta wye wye — — — — —<br />

–10 +10<br />

18 delta delta wye — — — — —<br />

+10 –10<br />

18 delta delta delta — — — — —<br />

+20<br />

–20<br />

24 delta delta delta wye — — — —<br />

+15<br />

–15<br />

24 delta wye wye wye — — — —<br />

+15<br />

–15<br />

24 delta delta wye wye — — — —<br />

+7 1 /2 –7 1 /2 +7 1 /2 –7 1 /2<br />

30 delta delta delta wye wye — — —<br />

+12<br />

–12 +6 –6<br />

36 delta delta delta wye wye wye — —<br />

+10<br />

–10 +10 –10<br />

48 delta<br />

+15<br />

delta<br />

+7 1 /2<br />

delta delta<br />

–7 1 /2<br />

delta<br />

–15<br />

wye<br />

–7 1 /2<br />

wye wye<br />

+7 1 /2<br />

FIGURE 2.4.19 A 12-pulse Circuit 31 5450-kVA, 4160-V delta primary to 2080-V delta and wye secondaries, castcoil<br />

transformer in case. (Photo courtesy of Niagara <strong>Transformer</strong> Corp.)<br />

Using different phase shifts on the single winding of the transformer, whether the primary or secondary<br />

winding, can increase the number of phase shifts. For instance, two 12-pulse transformers can make a<br />

24-pulse system by using a delta primary on one transformer and a wye primary on the other. In cases<br />

where it may be desirable to have an interchangeable spare, it is sometimes beneficial to use two 15<br />

phase-shifted primary windings. The spare transformer can then be made with a reconnectable winding<br />

for 15 shift.<br />

It is important to note that harmonic cancellation is generally not perfect. This is due to several factors,<br />

such as unbalanced loading, inaccurate phase shifts, differences in commutating impedances, and tap<br />

changes. That may be acceptable at some times but not at others. It is common to assume a 5% residual<br />

of lower harmonics to accommodate these realities.<br />

When the phase shift is incorporated in the primary winding, the degree of shift will vary somewhat<br />

as taps are changed on the transformer unless a tap changer is used in the main part of the shifted<br />

winding and the extended part of the shifted winding. Even then, there may be a slight shift. These<br />

problems may vary by about a degree of shift over the tap range of most transformers (Figures 2.4.19,<br />

2.4.20, 2.4.21, 2.4.22, and 2.4.23).<br />

2.4.11 DC Current Content<br />

If dc current is present in either the supply side or the load side of the transformer windings, it must be<br />

specified to the transformer manufacturer at the time of quotation. Some rectifier circuits, such as cycloconverters,<br />

have the possibility of dc current in the load current. A small amount of dc current can<br />

saturate the core of a transformer. The effects of this may be core and core-joint overheating, core-clamp<br />

heating from fields and circulating currents, winding hot spots, and even tank heating. Noise and<br />

vibration are also often present.<br />

FIGURE 2.4.20 A 24-pulse dry-type transformer. 7000-kVA drive duty transformer, to be located in a tunnel, made<br />

of two 3500-kVA 12-pulse transformers. Each core and coil has 1100-V delta and wye secondary windings. Each core<br />

and coil has a 13,200-V extended-delta primary winding. One core and coil has its primary winding shifted –15,<br />

while the other core and coil has its primary winding shifted +15. One reconnectable primary spare core and coil<br />

can be used to replace either core and coil assembly. (Photo courtesy of Niagara <strong>Transformer</strong> Corp.)<br />

2.4.12 <strong>Transformer</strong>s Energized from a Converter/Inverter<br />

<strong>Transformer</strong>s energized from a converter/inverter are often subject to considerably distorted voltages. If<br />

voltage harmonics are known to be above the limits of IEEE 519, they must be specified. Variablefrequency<br />

applications are generally considered to be at constant volts per hertz. If the volt-per-hertz<br />

ratio is variable, the degree of variation must be specified. The flux density of the core is the governing<br />

factor, not the maximum value of the sinusoidal voltage.<br />

© 2004 by CRC Press LLC<br />

© 2004 by CRC Press LLC

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