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remote control equipment - Indian Railways Institute of Electrical ...

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Reduction factor Kc represents the relationship <strong>of</strong> the emf developed between a cable<br />

conductor and its sheath to the emf which appears between an insulated conductor and earth<br />

in the absence <strong>of</strong> sheath. This reduction factor depends on character and dimensions <strong>of</strong><br />

sheath and armouring and magnetic properties <strong>of</strong> the metal used for armouring. This improves<br />

as the frequency <strong>of</strong> the inducing current increases.<br />

For cables located at a little distance from the track Kc is smaller under heavy inductive<br />

conditions like short circuits than under less severe conditions like normal operation.<br />

Screening <strong>of</strong> cable sheaths can be improved by reducing the dc resistance <strong>of</strong> sheath and by<br />

increasing the mutual inductance between sheath and wires. Aluminium sheath has resistance<br />

<strong>of</strong> about 1/7 th <strong>of</strong> similar sized lead sheath. As against screening factor <strong>of</strong> 0.8 for lead sheathed<br />

cable for A1 sheathed cable it is 0.16. If the inductance is increased by steel tape armouring.<br />

Screening factor gets reduced to 0.025 and 0.2 respectively.<br />

The presence <strong>of</strong> metal work electrically connected to earth near the track, or the circuit<br />

subjected to induction exerts a reducing effect, which may be considerable especially when<br />

several cables are buried in same trench as they shield each other to certain extent.<br />

8.6 RAIL CURRENTS<br />

The rails form a conductor with rather uncommon qualities. The resistance is very small and<br />

the leakance very large. The attenuation is so large that the return current is diverted<br />

completely to earth after about few kilometers and with higher frequencies even sooner. If the<br />

distance between feeding and loading points is large enough and if the track is homogenous,<br />

the rail current divides equally in both directions at both points without any preference for the<br />

‘inside’ direction. Part <strong>of</strong> the current penetrates deep into the earth and some leaves the earth<br />

to find a path in cable sheaths, metal pipes and other similar conductor parallel to the track.<br />

Near the feeding point the whole <strong>of</strong> the current returns to the earthed end <strong>of</strong> the traction<br />

transformer winding through the rail/earth mat <strong>of</strong> the feeding point.<br />

If the return current could be wholly retained in the rails the inducing effect on an adjacent<br />

telephone line would be that from a comparatively narrow loop formed y the overhead wires<br />

and rails and would be relatively small. In practice the load current rapidly leaves the rails for<br />

earth as shown in fig. 8.4 (b) which is applicable to an electrically long section where the rails<br />

continue for some distance on either side <strong>of</strong> the section.<br />

The rails will however themselves be subjected to an induced voltage from the overhead wire<br />

which will cause a current to flow in the rails virtually in the opposite direction to the contact<br />

wire current as shown in fig. 8.4 (c).<br />

In the centre <strong>of</strong> a long section the value <strong>of</strong> this current will be uniform and is equal to the<br />

induced voltage divided by the series impedence <strong>of</strong> the rails.<br />

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