[James_H._Harlow]_Electric_Power_Transformer_Engin(BookSee.org)
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RCF<br />
x<br />
Bx<br />
<br />
<br />
Bt<br />
<br />
<br />
RCF t – RCF 0 cos t – x t – 0 sin t – x<br />
Bx<br />
x<br />
<br />
<br />
t – 0 cos t – x - RCF t – RCF 0 sin t – x<br />
Bt<br />
<br />
where<br />
RCF x = RCF of new burden<br />
RCF t = RCF of known burden<br />
RCF 0 = RCF at zero burden<br />
x = phase error of new burden, radians (to obtain x in minutes, multiply value from<br />
Equation 2.6.7 by 3438)<br />
t = phase error of known burden, radians<br />
0 = phase error at zero burden, radians<br />
B x = new burden<br />
B t = known burden<br />
x = new burden PF angle, radians<br />
t = known burden PF angle, radians<br />
(2.6.9)<br />
(2.6.10)<br />
2.6.3.1 Overvoltage Ratings<br />
The operating flux density is much lower than in a power transformer. This is to help minimize the losses<br />
and to prevent the VT from possible overheating during overvoltage conditions. VTs are normally<br />
designed to withstand 110% rated voltage continuously unless otherwise designated. IEEE C57.13 divides<br />
VTs into groups based on voltage and application. Group 1 includes those intended for line-to-line or<br />
line-to-ground connection and are rated 125%. Group 3 is for units with line-to-ground connection<br />
only and with two secondary windings. They are designed to withstand 173% of rated voltage for 1 min,<br />
except for those rated 230 kV and above, which must withstand 140% for the same duration. Group 4<br />
is for line-to-ground connections with 125% in emergency conditions. Group 5 is for line-to-ground<br />
connections with 140% rating for 1 min. Other standards have more stringent requirements, such as the<br />
Canadian standard, which defines its Group 3 VTs for line-to-ground connection on ungrounded systems<br />
to withstand 190% for 30 sec to 8 h, depending on ground-fault protection. This also falls in line with<br />
the IEC standard.<br />
2.6.3.2 VT Compensation<br />
The high-voltage windings are always compensated to provide the widest range of performance within<br />
an accuracy class. Since there is compensation, the actual turns ratio will vary from the rated-voltage<br />
ratio. For example, say a 7200:120-V, 60:1 ratio is required to meet 0.3 class. The designer may desire to<br />
adjust the primary turns by 0.3% by removing them from the nominal turns, thus reducing the actual<br />
turns ratio to, say 59.82:1. This will position the no-load (zero burden) point to the bottommost part<br />
of the parallelogram, as shown in Figure 2.6.10. Adjustment of turns has little to no effect on the phaseangle<br />
error.<br />
2.6.3.3 Short-Circuit Operation<br />
Under no normal circumstance is the VT secondary to be short-circuited. The VT must be able to<br />
withstand mechanical and thermal stresses for 1 sec with full voltage applied to the primary terminals<br />
without suffering damage. In most situations, this condition would cause some protective device to<br />
operate and remove the applied voltage, hopefully in less than 1 sec. If prolonged, the temperature rise<br />
would far exceed the insulation limits, and the axial and radial forces on the windings would cause severe<br />
damage to the VT.<br />
<br />
<br />
2.6.3.4 VT Connections<br />
VTs are provided in two arrangements: dual or two-bushing type and single-bushing type. Two-bushing<br />
types are designed for line-to-line connection, but in most cases can be connected line-to-ground with<br />
reduced output voltage. Single-bushing types are strictly for line-to-ground connection. The VT should<br />
never be connected to a system that is higher than its rated terminal voltage. As for the connection<br />
between phases, polarity must always be observed. Low- and medium-voltage VTs may be configured in<br />
delta or wye. As the system voltages exceed 69 kV, only single-bushing types are available. Precautions<br />
must be taken when connecting VT primaries in wye on an ungrounded system. (This is discussed further<br />
in Section 2.6.3.5, Ferroresonance.) Primary fusing is always recommended. Indoor switchgear types are<br />
often available with fuse holders mounted directly on the VT body.<br />
2.6.3.5 Ferroresonance<br />
VTs with wye-connected primaries on three-wire systems that are ungrounded can resonate with the<br />
distributed line-to-ground capacitance (see Figure 2.6.11). Under balanced conditions, line-to-ground<br />
voltages are normal. Momentary ground faults or switching surges can upset the balance and raise the<br />
line-to-ground voltage above normal. This condition can initiate a resonant oscillation between the<br />
primary windings and the system capacitance to ground, since they are effectively in parallel with each<br />
other. Higher current flows in the primary windings due to fluctuating saturation, which can cause<br />
overheating. The current levels may not be high enough to blow the primary fuses, since they are generally<br />
sized for short-circuit protection and not thermal protection of the VT. Not every disturbance will cause<br />
ferroresonance. This phenomenon depends on several factors:<br />
• Initial state of magnetic flux in the cores<br />
• Saturation characteristics (magnetizing impedance) of the VT<br />
• Air-core inductance of the primary winding<br />
• System circuit capacitance<br />
One technique often used to protect the VT is to increase its loading resistance by (1) connecting a<br />
resistive load to each of the secondaries individually or (2) connecting the secondaries in a deltaconfiguration<br />
and inserting a load resistance in one corner of the delta. This resistance can be empirically<br />
approximated by Equation 2.6.11,<br />
FIGURE 2.6.11 VTs wye-connected on ungrounded system.<br />
R delta = (100 L A )/N 2 (2.6.11)<br />
© 2004 by CRC Press LLC<br />
© 2004 by CRC Press LLC