[James_H._Harlow]_Electric_Power_Transformer_Engin(BookSee.org)
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% VOLTAGE<br />
% VOLTAGE<br />
100 BIL<br />
90<br />
50<br />
30<br />
0<br />
0<br />
T30 T90 Tp Th<br />
µsec<br />
100 110% BIL<br />
Ttc<br />
←→<br />
Toc<br />
% UNDERSHOOT<br />
µsec<br />
100 BSL (.83 BIL)<br />
Crest Voltage BIL (pu)<br />
1.6<br />
1.4<br />
1.2<br />
1<br />
0.8<br />
0.6<br />
0.4<br />
o<br />
B<br />
+<br />
C<br />
x<br />
D<br />
*<br />
A<br />
E o<br />
o<br />
+<br />
o<br />
x +<br />
* x<br />
*<br />
o<br />
o<br />
o<br />
+<br />
x<br />
*<br />
o<br />
10 0 10 2 10 4 10 6 10 8 10 10<br />
Tim e (microseconds)<br />
|<br />
|<br />
|<br />
|<br />
|<br />
- | - - - - - - - - - - - - - - - µ<br />
- | - - - - - - - - - - - - - - - 1σ<br />
- | - - - - - - - - - - - - - - - 2σ<br />
- | - - - - - - - - - - - - - - - 3σ<br />
|<br />
o<br />
+<br />
|<br />
x<br />
*<br />
% VOLTAGE<br />
50<br />
0<br />
Tp<br />
FIGURE 3.10.8 Standard voltage waveforms for impulse tests: full, chopped, switching surge.<br />
logV<br />
2000<br />
logT<br />
<br />
BSL<br />
logT<br />
m<br />
2000<br />
where V 2000 is the voltage at 2000 sec, T 2000 ; V BSL is the BSL voltage (or 0.83 the BIL); and T BSL is equal<br />
to 300 sec. The value of m is established as the inverse of the slope of a straight line drawn on log-log<br />
paper from the BSL point to a point established by the peak of the 1-h induced test voltage plotted at a<br />
time the induced voltage exceeds 90% of its peak value (i.e., 28.7% of 3600 sec or 1033.2 sec).<br />
The connection between all points is made with a smooth continuous curve. The first four points in<br />
the curve establish an approximate level of insulation voltage capability for which one would anticipate<br />
only one insulation failure out of 1000 applications of that voltage level, e.g., at 3 the probability of<br />
failure is 1.0 – 0.99865 or 0.001. Experience has shown that the standard deviation for transformer<br />
insulation structures is on the order of 10 to 15%. Figure 3.10.9 assumes that is 10%. Curve B, or the<br />
50% failure-rate curve, is established by increasing the voltage in Curve A by 30%. Therefore, for Curve<br />
B, on average the unit would be expected to fail one out of two times if it were subjected to this level of<br />
voltage. Curves C and D establish 1- and 2- curves, or 16% and 2.3% failure-rate curves, respectively.<br />
The inserted normal distribution on the right of Figure 3.10.9 illustrate this concept. All of this discussion<br />
is based on the assumption that the transformer is new.<br />
µsec<br />
300<br />
log<br />
logVBSL<br />
2000 logV<br />
m<br />
BSL<br />
Th<br />
FIGURE 3.10.9 Voltage–time curve for insulation coordination.<br />
3.10.8.7 Insulation Coordination<br />
In a field installation, an arrester is normally placed directly in front of the transformer to afford it<br />
protection from transient voltages produced on the system. Curve E in Figure 3.10.9 is a metal-oxidearrester<br />
protective curve established in a manner similar to that described in IEEE Std. C62.2. The curve<br />
is specified by three points:<br />
1. The front-of-wave voltage held by the arrester plotted at 0.5 sec<br />
2. The 8 20-sec voltage plotted at 8.0 sec<br />
3. The switching-surge voltage plotted in straight line from 30 to 2000 sec<br />
The protective ratio is established by dividing the transformer insulation capability by the arrester<br />
protective level for the waveshape of interest. For example, in Figure 3.10.9 the protective level for a<br />
switching surge is on the order of 177% or (0.83/0.47) 100.<br />
3.10.8.8 Additional System Considerations<br />
The current standards reflect the growing and learning within the industry, and each year they expand<br />
in breadth to address issues that are of concern to the industry. However, at present the standards are<br />
silent in regard to the effects of system voltage on transient response, multiphase surges, aging or<br />
mechanical movement of insulation structures, oscillatory voltage excitation, temperature variations,<br />
movement of oil, and loading history. A prudent user will seek the advice of users of similar products<br />
and explore their experience base.<br />
3.10.9 Models for System Studies<br />
3.10.9.1 Model Requirements<br />
The behavior of large power transformers under transient conditions is of interest to both transformer<br />
designers and power engineers. The transformer designer employs detailed electrical models to establish<br />
© 2004 by CRC Press LLC<br />
© 2004 by CRC Press LLC