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Cable Insulation Resistance
S. K. SrivastavaProf / Inst.
IRIEEN
Nasik Road
Insulation resistance is the most commonly measured parameter to check the
health of Electrical Insulation. In case of cables the IR differs from cable to cable depending
upon the length of cable, insulation thickness and type of cable. For example IR value of 1 meter
cable and IR value of 100 meter of same cable are not comparable in absolute term as the later
value will be 100th of the former. This paper tries to answer most commonly asked questions
such as:
1) What should be the megger voltage?
2) What should be the sample length?
3) What are the limiting values?
4) What is the governing IS?
1.Insulation Resistance
The Insulation resistance is defined as the Quotient of applied voltage divided by the
current measured at a given time from the start of electrification. We normally measure the
insulation resistance by hand driven megger. Initially when we start rotating the instrument, the
capacitance across the insulation gets charged due to which the initial current is high thus giving
impression of low IR. When the megger is uniformly driven at constant speed for a definite time
(1 Min), the voltage applied across the insulation becomes constant and capacitance gets fully
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charged. The current passing through the insulation gets stabilized to steady state ohmic current
and we get constant value of Insulation Resistance.
2.Voltage and Sample length for IR measurement
If we go through the IS specification for various types of cables i.e. XLPE cable,
Elastomeric Cable and PVC insulated cable , we will find that the test method for Insulation
resistance for these cables is as per IS 10810 part 43 - 1991 . This IS deals with the measurement
of the insulation resistance of the cables. As per above IS the voltage for IR measurement should
be 300 30 or 500 50 Volt dc.
At this point there is always one question whether HV cables are to be tested by 300 30
or 500 50 volt dc IR meter then the answer is yes. If we go through the IS of cables even for
HV cable the test method is as per IS 10810 Part 43. And this IS specifies the voltage for the
measurement of IR as 300 30 or 500 50 volt dc. Thus the voltage rating of cable has no
relation to the voltage to be applied for the measurement of IR.
As far as the sample length is concerned as per the relevant IS i.e. IS 10810 Part 43 it
should be full drum length or not less than 3 meters.
3.Limiting Values
Once we are measuring certain parameter to check the condition of insulating material or
for that matter for any system then we must know the limiting values. Limiting values means
what is the acceptable limit and what is the governing specification. Since we are discussing
here the Insulation resistance parameter for the cable then we must know the limiting values for
this and governing specification.
Before going to the parameters some fundamental observations regularly made in the
measurement of IR of cable, needs to be discussed.
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Let us take a condition where we are carrying out the measurement of two cables of same
type and size but with different length say 100 m and 10 m. The measured IR comes same say 5
M ohm then which cable insulation strength is better. The next question comes if one is better
then how much better.
Take another condition in which the length of cable is same say 100 m in both the case
and type i.e. material of the cable is also same but size is different. In this case also if the
measured IR value is same say 5 Mohm then which cable is better.
If we go through the IS for cables we will find that the limiting values for Insulation
resistance is not given directly. Instead in these IS specifications the limiting value for Insulation
resistance constant or the volume resistivity is given. These parameters take into account the
above factors i.e. the size of the cable and the length of cable.
3.1.Insulation Resistance constant and Volume resistivity
The insulation resistance constant and volume resistivity parameters are defined as under:
L*R
Insulation Resistance Constant = -----------------------------
(M ohm km) 1000 * Log10 ( D / d )
2 T *L*R*108
Volume Resistivity = ------------------------------(ohm.cm) Loge ( D / d )
Where
R = Measured Resistance ( M ; )
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L = Length of Cable (m)
D = Diameter over the insulation excluding screen if any ( mm )
d = Diameter over the conductor excluding screen if any ( mm )
Incase of shaped conductor D is to be replaced P and d is to be replaced by p where
P = Perimeter over the shaped insulated core ( mm )
p = Perimeter over the shaped conductor (mm )
Let us take the same condition, which has been discussed in para 3. Two cables of same
type and same size but of different length i.e. 100 m and 10 m are showing the same value of
Insulation resistance ( 5 M ohm ). The IR constant for these two cases will be
IR Constant for cable with 100 m length = 100 x 5 /1000x Log10 ( D / d )
= 0.5 / Log10 ( D / d )
or say = 0.5 C (C is a constant)
IR constant for cable with 10 m length = 10x5/1000x Log10 ( D / d )
say = 0.05 C (C is a constant)
We can see here a distinct difference in the health of two cable, which were showing apparently
same value of Insulation resistance i.e. 5 M ohm. Similarly we can take the second condition in
which the cable size is different but all other parameter like type of cable and length of cable is
same. Even if it is showing same value of IR , the IR constant will be different for different size
of cables, because of Log10 ( D / d ) factor. We will be able to differentiate between the health of
two cables which apparently showing the same value of IR.
3.2Limiting values as per some IS's
Now we have reached to a point where we can discuss the limiting values of IR constant
and Volume Resistivity of some of the cables:
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XLPE cables
Type of Cable Governing IS Test method Volume Resistivity (ohm.cm)
XLPE insulated
PVC sheathed up
to 1.1 kV
IS 7098 Part -1
1997
As per IS 10810
Part 43 - 1991
At 270
C 1x1014
At 900
C Under
consideration
XLPE Insulated
PVC sheathed
3.3 kV to 33 kV
IS 7098 Part -2
1988
At 270
C 1x1014
At 900
C 1x1012
Elastomeric Cable (IS 6380-1984)
Test method - As per IS 10810 Part 43 - 1991
IE1 IE2 IE3 IE4 IE5
IR Constant
(Min) At 270
C
(M ohm km)
700 3670 3670 10 870
IR constant
(Min) at
maximum optg
temp.
(M ohm km)
--- 3.67 3.67 -- --
IE1 to 5 are the types of cables.
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PVC Insulated cables (IS 694-1990 and 5831-1984)
Test method - As per IS 10810 Part 43 - 1991
Type A Type B Type C
IR Constant At 270
C
(Min) in M ohm km
36.7 36.7 36.7
IR Constant At max.
optg. Temp.
(Min) in M ohm km
0.037 0.37 0.37
Where Type A,B,C are the type of cable.
From the above it can be seen that the minimum value of IR constant or Volume
resistivity of the cable is specified in the specification of the cable. Also the test methods for
these cable are as per the IS 10810 Part 43 1991.
For better appreciation the IR min value of 1 m length has been calculated (Annexure A )
for certain typical cables from the limiting values of IR constant and volume resistivity as per
the corresponding IS. In all these cases circular cable has been assumed and the nominalthickness of insulation has been taken as the insulation thickness.
Conclusion
The main objective of this study is to emphasize upon the finer aspect of the Insulation
resistance, which is most commonly, used electrical parameter for checking the insulation
strength. The following conclusions can be derived:1) The cable insulation resistance is to be measured with 300 30 or 500 50 volt dc supply
2) The sample length should be full drum length or minimum 3 m piece.
3) Based on the IS by which the particular cable is governed IR constant or The volume
resistivity is to be calculated and then the strength of the cable is to be judged.
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ANNEXURE -A
These values are for 1 m length cable. To find out IR Min for any other length divide the IR
minvalue by the length of the cable.
All cable cores have been assumed circular in shape.
PVC insulated cable voltage upto 1100 volts governed by IS 694-1990 and IS 58311984
Size of Cablenominalthickness d D IR Min
(Sq. mm) of insulation (mm) (mm) (mm)(M
ohm)
16 1.0 4.51 6.51 5845
25 1.2 5.64 8.04 5648
50 1.4 7.98 10.78 4793
XLPE cables 7098 Part 2 1988 6.35/11 kV cable
Size of Cablenominalthickness d D IR Min
(Sq. mm) of insulation (mm) (mm) (mm)(M
ohm)
70 3.6 9.44 16.64 90241
150 3.6 13.82 21.02 66764
185 3.6 15.35 22.55 61240
240 3.6 17.49 24.69 54912
400 3.6 22.57 29.77 44083
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Elastomeric Cable up to 1100 volt type IE4
Size of Cablenominalthickness d D IR Min
(Sq. mm) of insulation (mm) (mm) (mm)
(M
ohm)
6 1.0 2.76 4.76 2364
10 1.2 3.57 5.97 2233
16 1.2 4.51 6.91 1851
25 1.4 5.64 8.44 1750
50 1.6 7.98 11.18 1464