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52

Wire & Cable ASIA – May/June 2017

www.read-wca.com

Only in the case of tests with a separate HV source

repeated measurements can this be done. The applied

testing voltage can be increased up to a certain voltage

level to enforce the breakdown again.

A comparison of the two TDR measurement methods is

shown in

Table 1

.

An advantage of the online method is the absence of

reflections from the far end. The breakdown causes a very

low impedance at its location and the signals are reflected

from here. A simplified circuit for online measurements is

shown in

Figure 1

.

The measurement on both cable ends with two measuring

devices improves the fault location accuracy. Of course,

this option depends on the configuration of the power

cable system and the access to its cable ends. This option

is not considered in the experimental tests yet.

Theoretical Considerations

and Simulation

The physics of cables and their behaviour is very complex

and has been widely discussed in literature. It shall not be

repeated in this paper (example for reference see

[4]

). Only

two basic equations are needed here:

When using this kind of TDR the exact knowledge of the

propagation velocity

v

determines the accuracy of the fault

location. (It differs to the TDR measurement for partial

discharge (PD) fault location where only the time relation of

the reflections determines the accuracy.)

Therefore this propagation velocity has to be known

exactly to be determined in advance. When the parameters

L’

and

C’

of the cable are effectualy known, the propagation

velocity can be calculated by

Equation 1

. However, if it

is possible, an initial measurement of the propagation

velocity should be done for each commissioned cable.

The situation changes when the TDR signals are measured

on both cable ends. Then the knowledge of the velocity is

not necessary (similar to the PD fault location) and the fault

location is calculated by:

with

T

x

and

T

y

as the signal propagation measured from

both cable ends. Of course, the calculation by knowledge

of the propagation velocity is still valid and the

measurements can be verified when the right cable length

is also known.

The test circuit was simulated with OrCAD PSpice and

with realistic cable parameters

[5]

. It allows the simulation of

the signal propagation in very long cables and the signal

distortion by the measuring circuit on the cable end.

The simulation was made with a cable length of 100km

and a propagation velocity of 171.25m/µs. The failure was

simulated at a distance of 83km from the cable end where

the measuring circuit was connected.

The simulation results in

Figure 3

show a time

T

= 970 µs

and with the aforementioned velocity

v

the distance to

the failure is calculated to

l

x

= 83.06km. The negligible

deviation from the reference value is the result of a slightly

inaccurate time measurement of the simulation results.

Measuring Equipment

The measuring circuit consists of two main components,

the HV divider and the transient recorder. While only one

type of transient recorder processes the signals from

measurements on AC and DC cables, the HV dividers differ

for AC and DC applications.

A capacitive HV divider is preferably used for

measurements on AC cables. For DC cables a

broadband divider with a resistive arm is necessary

to achieve the required response characteristic. This

response characteristic is also essential when other

voltage measuring devices are taken for the online

TDR measurements, eg instrument transformers which

are installed in power nets. Their ability has still to be

approved.

Capacity

to ground

HV

AC/DC

source

Figure 1

:

Principle circuit for online fault location

Equ. 1

Equ. 2

Equ. 3

Figure 2

:

Simulated circuit

Figure 3

: Simulation results