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Submarine cable laying and repairing

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THE LOCALISATION OF BREAKS AND FAULTS. 451<br />

The resiatance r is taken approximately as the joint resis-<br />

tance of R <strong>and</strong> /. That is,<br />

whence /=t5^ •<br />

(1)<br />

Also the ratio of the distances D <strong>and</strong> d is proportional to the<br />

resistances R <strong>and</strong> /. That is,<br />

^ /<br />

Substituting the value of / from (1) we have<br />

D_ R(R-r) _R_.^<br />

d R?- r<br />

And as — = n, the correction is<br />

r<br />

d=^^ (2)<br />

This correction must be added to or subtracted from the<br />

observed distance, according as to whether the N.R.F. is on the<br />

near side of the fault or beyond it. That is, expressing the dis-<br />

tances along the <strong>cable</strong> conductor in ohms, it is obvious from<br />

the diagram that to obtain the true distance of fault we must<br />

Add the correction to the observed distance of fault if the distance<br />

of the N.R.F. from the testing end Is less than the observed<br />

distance of fault, or<br />

Subtract the correction from the observed distance of fault<br />

if the distance of the N.R F. from the testing end is greater<br />

than the observed distance of fault.<br />

For example, suppose the N.R.F. to be 3,200 ohms distant,<br />

<strong>and</strong> the observed distance of the fault 2, 700 ohms (D = 500)<br />

also that the insulation was 1"185 megohms at the time the<br />

N.R.F. was determined <strong>and</strong> 01 megohm when the fault came<br />

in. Then n = 11-85, <strong>and</strong> the correction is<br />

=46 ohms.<br />

11-85-1<br />

In this case the N.R.F. distance is greater than the observed<br />

distance of the fault, <strong>and</strong> therefore the correction must be sub-<br />

tracted, <strong>and</strong> we have<br />

True distance of fault = 2,700 - 46 = 2,654 ohms.<br />

gg2

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