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[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

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