[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