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Cable fault location techniques and Murray loop

Short answer

Techniques include Murray loop, Varley loop, capacitance comparison, TDR, Blavier test, and thumper. The Murray loop test for short-circuit faults connects faulty and sound cores at the far end, balances a bridge, and locates the fault at x = (Q/(P+Q))*2L from the test end.

What are the techniques of locating faults in underground cable? Explain Murray loop test.

Underground cable faults are first found to exist with an insulation (megger) test. They are then located by measuring from the cable ends, and finally pinpointed on the route.

Techniques of locating faults

MethodUsed for
Murray loop testEarth and short-circuit faults (resistance bridge)
Varley loop testEarth and short-circuit faults (bridge with an extra variable resistor)
Murray capacitance loop / capacitance comparisonOpen-circuit (broken conductor) faults
Pulse echo (TDR)Any fault, from the travel time of a reflected pulse
Blavier testEarth fault when no sound core is available
Thumper (surge generator) and acoustic detectionPinpointing on the route

Murray loop test (short-circuit or earth fault)

This is a Wheatstone bridge method. It needs one sound core running alongside the faulty core.

   +--------------(G)--------------+
   |                               |
   B ---/\/\------+------/\/\----- A
   |     P        |        Q       |
   |           battery             |
   |              |                |
   |            earth              |
 sound core                   faulty core
   |                               x  <- fault to earth
   |                               |
   +====== loop at far end ========+
  1. At the far end, connect the faulty core to the sound core with a low-resistance link, so the two cores form a loop.
  2. Connect ratio arm PP (a variable resistor) to the test end B of the sound core and ratio arm QQ to the test end A of the faulty core, and connect the galvanometer across A and B. Connect the battery between the junction of PP and QQ and earth (for an earth fault). For a short circuit between two cores, connect the battery to the other shorted core instead of earth.
  3. Adjust PP and QQ until the galvanometer reads zero.

Let RxR_x be the resistance of the faulty core from the test end to the fault, and RLR_L the resistance of the whole loop. The arm next to PP is the rest of the loop, RL−RxR_L - R_x, and the arm next to QQ is RxR_x. At balance:

PQ=RL−RxRx  ⇒  Rx=QP+Q RL\frac{P}{Q} = \frac{R_L - R_x}{R_x} \;\Rightarrow\; R_x = \frac{Q}{P+Q}\,R_L

If both cores have the same cross-section and the cable length is LL, resistance is proportional to length:

x=QP+Q×2Lx = \frac{Q}{P+Q}\times 2L

Here xx is the distance from the test end to the fault. The fault resistance carries only battery current, so it does not affect the balance.

Example

Take a 2 km cable (loop length 4 km) that balances at P=3 ΩP = 3\ \Omega and Q=1 ΩQ = 1\ \Omega:

x=13+1×4=1 kmx = \frac{1}{3+1}\times 4 = 1\ \text{km}

So the fault is 1 km from the test end.

✓ Answer checked by Claude Opus 5.5 (high effort)

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