06.08.2018 Views

[James_H._Harlow]_Electric_Power_Transformer_Engin(BookSee.org)

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

FIGURE 3.5.4 Interconnected star-grounding transformer: (a) current distribution in the coils for a line-to-ground<br />

fault and (b) normal operating voltages in the coils.<br />

FIGURE 3.5.3 Current flow in double-wound transformer and autotransformer.<br />

A disadvantage of the autotransformer is that the short-circuit current and forces are increased because<br />

of the reduced leakage reactance. In addition, most three-phase autotransformers are wye–wye connected.<br />

This form of connection has the same limitations as for the wye–wye double-wound transformers.<br />

Furthermore, there is no electrical isolation between the primary and secondary circuits with an<br />

autotransformer connection.<br />

An autotransformer often has a delta-connected tertiary winding to reduce third-harmonic voltages,<br />

to permit the transformation of unbalanced three-phase loads, and to enable the use of supply-station<br />

auxiliary load or power-factor improvement equipment. The tertiary winding must be designed to accept<br />

all of these external loads as well as the severe short-circuit currents and forces associated with threephase<br />

faults on its own terminals or single line-to-ground faults on either the primary or secondary<br />

terminals. If no external loading is required, the tertiary winding terminals should not be brought out<br />

except for one terminal to ground one corner of the delta during service operation. This eliminates the<br />

possibility of a three-phase external fault on the winding.<br />

The problem of transformer insulation stresses and system transient protection is more complicated<br />

for autotransformers, particularly when tapping windings are also required. Transient voltages can also<br />

be more easily transferred between the power systems with the autotransformer connection.<br />

3.5.4.4 Interconnected-Wye and Grounding <strong>Transformer</strong>s<br />

The interconnected-wye-wye connections have the advantages of the star–delta connections with the<br />

additional advantage of the neutral. The interconnected-wye or zigzag connection allows unbalancedphase<br />

load currents without creating severe neutral voltages. This connection also provides a path for<br />

third-harmonic currents created by the nonlinearity of the magnetic core material. As a result, interconnected-wye<br />

neutral voltages are essentially eliminated. However, the zero-sequence impedance of interconnected-wye<br />

windings is often so low that high third-harmonic and zero-sequence currents will result<br />

when the neutral is directly grounded. These currents can be limited to an acceptable level by connecting<br />

a reactor between the neutral and ground. The interconnected-wye-wye connection has the disadvantage<br />

that it requires 8% additional internal kVA capacity. This and the additional complexity of the leads make<br />

this type of transformer connection more costly than the other common types discussed above.<br />

The stable neutral inherent in the interconnected-wye or zigzag connection has made its use possible<br />

as a grounding transformer for systems that would be isolated otherwise. This is shown in Figure 3.5.4.<br />

The connections to the second set of windings can be reversed to produce the winding angular displacements<br />

shown in Figure 3.5.2.<br />

For a line-to-neutral load or a line-to-ground fault on the system, the current is limited by the leakage<br />

reactance between the two coils on each phase of the grounding transformer.<br />

3.5.4.5 Phase-Shifting <strong>Transformer</strong>s<br />

The development of large, high-voltage power grids has increased the reliability and efficiency of electric<br />

power systems. However, a) the difference of voltages, impedance, loads, and phase angles between paralleled<br />

power lines causes unbalanced line-loading. The phase-shifting transformer is used to provide a phase<br />

shift between two systems to control the power flow. A phase-shifting transformer (PST) is a transformer<br />

that advances or retards the voltage phase-angle relationship of one circuit with respect to another circuit.<br />

In some cases, phase-shifting transformers can also control the reactive power flow by varying the voltages<br />

between the two circuits.<br />

There are numerous different circuits and transformer designs used for this application. The two<br />

main type of PSTs used are shown in Figure 3.5.5a and Figure 3.5.5b. The single-core design shown in<br />

Figure 3.5.5a is most commonly used. With this design, it is generally accepted practice to provide two<br />

sets of three single-pole tap changers: one set on the source terminals and one set on the load terminals.<br />

This permits symmetrical voltage conditions while varying the phase angle from maximum advance<br />

to maximum retard tap positions. If only one set of three single-pole tap changers is used, the load<br />

voltage varies as the tap-changer phase-shift position is varied. The single-core design is less complicated,<br />

has less internal b) kVA, and is less costly than the other designs used. However, it has the following<br />

disadvantages:<br />

• The LTC and tap windings are at the line ends of the power systems and are directly exposed to<br />

system transient voltages.<br />

• The impedance of the PST varies directly with the square of the number of tap positions away<br />

from the mid-tap position. The impedance of this type of PST at the mid-tap or zero-phase-shift<br />

position is negligible. As a result, the short-circuit current at or near the mid-tap position is limited<br />

only by the system impedance.<br />

• The maximum capacity of this type of PST is generally limited by the maximum voltage or current<br />

limitation of the tap changers. As a result, the maximum switching capacity of the tap changer<br />

cannot be fully utilized. The space required by these tap changers cause shipping restrictions in<br />

large-capacity PSTs.<br />

• The transient voltage on the tap-changer reversing switch when switching through the mid-point<br />

position is very high. Usually, additional components are required in the PST or tap changer to<br />

limit these transfer voltages to an acceptable level.<br />

• The cost of single-pole tap changers is substantially higher than three-pole tap changers used with<br />

some of the other PST designs.<br />

© 2004 by CRC Press LLC<br />

© 2004 by CRC Press LLC

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!