Divergence (computer science): Difference between revisions

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[[Image:Murray_loop_bridge.svg|thumb|250px|Murray loop bridge]]
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[[File:Leeds_%26_Northrup_Type_S_Test_Set_No._5300.jpg|thumb|250px|Leeds & Northrup test instrument capable of performing Murray and Varley loop tests.]]


'''Murray loop bridge''' is a [[bridge circuit]] used for locating faults in underground or underwater [[cable]]s.<ref>http://sciencelinks.jp/j-east/article/200324/000020032403A0828577.php</ref> It has been used for more than 100 years. <ref>Latimer Clark, Robert Sabine ''Electrical tables and formulæ: for use of telegraph inspectors and operators'', E. & F.N. Spon, 1871 pp. 41-44 </ref>
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One end of the faulted cable is connected through a pair of [[resistor]]s to the voltage source. Also a [[null detector]] is connected. The other end of the cable is shorted. The bridge is brought to balance by changing the values of ''R<sub>B1</sub>'' and ''R<sub>B2</sub>'', which is achieved when:
 
<math>\frac{R_x}{R_g + R_y} = \frac{R_{B1}}{R_{B2}}</math>
 
which is equivalent to:
 
<math>R_x = (R_g + R_y) \cdot \frac{R_{B1}}{R_{B2}}</math>
 
The value of resistance ''R<sub>x</sub>'' is proportional the length ''L<sub>x</sub>'', thus the location of the fault can be calculated:
 
<math>L_x = 2 \cdot L \cdot \frac{R_{B1}}{R_{B1}+R_{B2}}</math>
 
where ''L'' is the total length of the cable under test - a value proportional to ''R<sub>g</sub>''.
 
The method assumes a single fault exists, of low resistance compared with the undamaged cable insulation resistance, and that the cable conductors have uniform resistance per unit length.  
 
==Varley loop==
The similar Varley loop uses fixed resistors for RB1 and RB2, and inserts a variable resistor in the faulted leg. Test sets for cable testing can be connected for either bridge technique. If the fault resistance is high, the sensitivity of the Murray bridge is reduced and the Varley loop may be more suitable.
 
==See also==
*[[Wheatstone bridge]]
*[[Fault (power engineering)]]
 
==References==
{{reflist}}
 
[[Category:Electrical circuits]]
[[Category:Measuring instruments]]

Latest revision as of 12:46, 5 June 2014

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