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It is observed from Fig. 2 that the induced voltage waveform modifies in relation to the

distance between the maximum voltage point and the measurement point. The alterations in

the induced voltage waveforms along the distribution line can be better verified through

their parameters, such as maximum induced voltage, rising time, peak time and half-wave

time.

For comparative effects, it is assumed as rising time that necessary time for the voltage

wavefront to reach 90% of its maximum value, considering half-wave time as that

necessary time for the voltage wavefront to reach 50% of peak value after the occurrence

of its maximum value. Therefore, Fig. 3 to 6 presents how these parameters are altered in

relation to the distance between the maximum voltage point and a point along this

conductor.

x 10
4

3.5

3.4

3.3

3.2

3.1

3

2.9

0

100

200

300

400

500

600

700

800

900

1000

distance (m)

Fig. 3. Maximum induced voltage variation along the line.

From Fig. 3, it is observed that the voltage along the line length reduces at a rate practically

linear in relation to the distance from the atmospheric discharge occurrence point. This

observation indicates that the voltage wave along the distribution line suffers an attenuation

generated from high frequencies involved with the propagation process as well as from

energy dissipation in relation to the metallic conductors.

Figs. 4 to 6 illustrate how rising time, peak time and half-wave time alter along the

distribution line. We can certify that these three parameters tend to increase at a rate

practically constant along the distribution line.

This fact indicates that the voltage waveform loses energy in relation to the distance along

the line since that rising time, peak time and half-wave time higher cause voltage gradients

more smooth along the line.