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23 January 2012
Residual Magnetism
Will Knapek
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AGENDA
> What is Residual Magnetism
> Ways to Reduce Remanence
> Determining the residual magnetism in a field test
> Summary
Page 2
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Significance of Residual Magnetism
It has been said that one really knows very little
about a problem until it can be reduced to figures.
One may or may not need to demagnetize, but until
one actually measures residual levels of
magnetism, one really doesn’t know where he or
she is.
One has not reduced the problem to figures.
R. B. Annis Instruments, Notes on Demagnetizing
3
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Physical Interpretation ofResidual Magnetism
res
t
C d V t 0
)()(
• When excitation is removed from the CT, some of the magnetic
domains retain a degree of orientation relative to the magnetic
field that was applied to the core. This phenomenon is known as
residual magnetism.
• Residual magnetism in CTs can be quantitatively described by
amount of flux stored in the core.
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Significance of Residual Magnetism
WHY DO I CARE????
Bottom Line: If the CT has excessive Residual
Magnetism, it will saturate sooner than expected.
5
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Magnetization Process and Hysteresis
*Picture is reproduced from K. Demirchyan et.al.,Theoretical Foundations of Electrotechnics
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Remanence Flux (Residual
Magnetism)
© OMICRON Page 7
*Source: IEEE C37.100-2007
Remanence is dissipated verylittle under service conditions.
Demagnetization is required to
remove the remanence.
When excitation stops,Flux does not go to zero
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Residual Remanence and Remanence Factor
%100*S
resr M
• Saturation flux (Ψs)that peak value of the flux which would exist in a
core in the transition from the non-saturated to the
fully saturated condition and deemed to be that
point on the B-H characteristic for the core
concerned at which a 10 % increase in B causes H
to be increased by 50 % (IEC 60044-1, 2.3.6)
• Remanent flux (Ψr)that value of flux which would remain in the core 3
min after the interruption of an exciting current of
sufficient magnitude to induce the saturation flux
(Ψs) (IEC 60044-1, 2.3.7)• Remanence factor (Kr)the ratio Kr = 100 × Ψr / Ψs, expressed as a
percentage
(IEC 60044-1, 2.3.8).
• Residual remanence (Mr)the ratio Mr = 100 × Ψres / Ψs, expressed as a
percentage.
* Picture from CT-Analyzer User Manual
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Residual Magnetism• Maximal Remanence Flux Ψr-max (physically)
- the flux which remains after magnetization of the core to total saturation
and removal of this magnetizing current
• When is the “total saturation” achieved? How defined? or Specified?
Page 9
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Residual Magnetism• Remanence Flux Ψr (IEC 60044-1)
that value of flux which would remain
in the core after the interruptionof an exciting current of sufficient magnitude
to induce the saturation flux Ψs
Page 10
• Saturation flux Ψs (IEC 60044-1)
that peak value of the flux which would exist
in a core in the transition from the non-saturatedto the fully saturated condition ( Knee point)
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Residual Magnetism
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Ipn
Flux density (B)
Flux intensity (H)
20 x Ipn
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Residual Magnetism
Page 12
20 x Ipn
residual magnetism
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Residual Magnetism
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Ipn
~10 x Ipn reserve
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Residual Magnetism1 Ip`Current of an ideal current transformer
2 Is
Current of a saturated current transformer
The difference I= Ip‘-Is is the current floating through the saturated inductance.
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Residual Magnetism• Impact due to residual remanence with “Over Current Protection” and
“Distance Protection”
• failure to operate
• unwanted operation
Page 15
Netz 1F2F1
Schutzgerät 1 Schutzgerät 2
Schutzabschnitt des Schutzgerätes 1operating section of protection unit 1
protection unit 1 protection unit 2
Main 1
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Residual Magnetism• Impact due to residual magnetism with “Differential Protection“
• no impact on inner failure
• unwanted operation in case of outer failure
Page 16
CT1
Netz 1F2F1
CT2
Schutzgerät 1 Schutzgerät 2protection unit 1 protection unit 2
Main 1
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Effect of Remanence (0%)
© OMICRON Page 17
Time to Saturate = 1.5 cyc
1200:5A
C800 CT
24,000A Ifault
X/R = 19
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Effect of Remanence (50%)
© OMICRON Page 18
Time to Saturate = 0.5 cyc
1200:5A
C800 CT
24,000A Ifault
X/R = 19
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Effect of Remanence (75%)
© OMICRON Page 19
1200:5A
C800 CT
24,000A Ifault
X/R = 19
Time to Saturate = 0.3 cyc
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Effect of Remanence
• Remanence as much as 80% of saturationflux can be expected
• Can significantly reduce the burden capability
of the CT
*Source: IEEE C37.100-2007
© OMICRON
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Ways to Reduce Remanence
• Use different grade of steel for core (hot-rolled instead of cold-rolled steel reduces up
to half the max. remanence)
• Use Gapped Core CT (TYP Class)
© OMICRON Page 21
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Reduction of Residual Magnetism
> Hot-rolled steel canreduce the residualmagnetism to 40-50%of saturation flux
> Use of air-gappedcore: higher excitingcurrent and lowersaturation levels;
> Drawbacks: larger
and more expensivecores, loweraccuracy
> Used when stablerelay operation iscritical for systemsecurity
* Picture from Electric Power Transformer Engineering,
ed. by James H. Harlow
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Residual Flux Measurement: Cumulative Method
CT U - terminal voltage CT I - terminal current - secondary winding resistanceCT R
- core voltageC U - interlinked (core) flux - residual fluxres
nnn
nnn
res
1
121
323
212
11
ni
i
t
t
C res
n
i
t
t
C res
n
i
iresn d U d U 01
)()(11
n
n
n
n
nn
n
n
n
t
t
CT CT
t
t
CT
t
t
CT CT
t
t
CT
t
t
C
t
t
C res
d I Rd U d I Rd U
d U d U
11
1
0
1
0
1
1
0
)(*)(*2
1)(*)(
)(*2
1)(
res
1
2
3
1t
2t
3t
nn
,2
nn 1
2´ nt
1nt
nt
n
1t
Magnetic flux variation under
rectangular magnetization
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Residual Flux Measurement: Averaging Method
111
000
1 )(*)()(
t
CT CT
t
CT
t
C d I Rd U d U
*5.01res
n
i
t
t
CT CT
n
i
t
t
CT
n
i
t
t
CT CT
t
t
CT
n
i
i
i
i
i
i
i
i
i
i
d I n
Rd U n
d I Rd U n
n
22
2
2
11
11
)(*1
1*)(
1
1
)(*)(1
1
1
1
CT U - terminal voltage CT I - terminal current - secondary winding resistanceCT R
- core voltageC U - interlinked (core) flux - residual fluxres
res
1
2
3
1t
2t
3t
nn
,2
nn
1
2´ nt
1nt
nt
n
1t
Magnetic flux variation under rectangular magnetization
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Hysteresis Loop Symmetry Condition
nn 1
1
21
)()(n
n
n
n
t
t
CT
t
t
CT d I d I
1
21
)()(
n
n
n
n
t
t
CT
t
t
CT d U d U
CT U - terminal voltage CT I - terminal current - interlinked (core) flux
res
1
2
3
1t
2t
3t
nn
,2
nn
1
2´ nt
1nt
nt
n
1t
Magnetic flux variation under rectangular magnetization
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Residual Remanence and Remanence Factor (2)
Page 26
* Picture from Wikipedia
Family of hysteresis loops for grain-oriented electrical steel
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Residual Flux Measurement: Implementation Issues
• To determine residual flux it is essential to calculate
voltage and current time integrals taken over
measurement duration.
• If calculation of these integrals can be made real-time (i.e.
simultaneously with input sampling), there is no need to
store input data of current and voltage channels.
• Thus, even if saturation process is very long, it will still be
possible to calculate residual flux, which allows applying
this method to residual remanence measurement for both
CTs and transformers.
Page 27
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CTA Residual Magnetism Card
Page 28
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Residual Magnetism• Demagnetization process
• by applying minimum the same electrical force as the force caused the
magnetization effect.
• recommendation:
• starting with similar force as the force which drove the core into saturation
than reducing step by step to demagnetize the core
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Determining the residual
magnetism
• Determining the residual magnetism in a field test
• Analysis of the measured values
• Determining the residual magnetism with the CT Analyzer
30
D t i i th id l
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Determining the residual
magnetism• Determining the residual magnetismin a field test
– The residual magnetism can be determined relatively preciselyusing simple test apparatus.
P1
P2
s1
s2
+
-
Transformer Battery
I0U0
CMC 256 as recorder
31
Determining the resid al
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Determining the residual
magnetism• Determining the residual magnetismin a field test
– The test is performed in three steps• Load is applied until I0 and V0 are constant.
P1
P2
s1
s2
+
-
Transformer Battery
CMC 256 as recorder
I0V0
RCT
RH LHnP nS
Main inductance DC internal resistance
32
Determining the residual
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Determining the residual
magnetism• Determining the residual magnetismin a field test – The test is performed in three steps
• Load is applied until I0 and V0 are constant.• This is then repeated with opposite polarity.
P1
P2
s1
s2
-
+
Transformer Battery
I0V0
RCT
RH LHnP nS
Main inductance DC internal resistance
CMC 256 as recorder
33
Determining the residual
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Determining the residual
magnetism• Determining the residual magnetism
in a field test
P1
P2
s1
s2
+
-
Transformer Battery
I0V0
RCT
RH LHnP nS
Main inductance DC internal resistance
– The test is performed in three steps
• Load is applied until I0 and V0 are constant.• This is then repeated with opposite polarity.
• This is then repeated once more with opposite polarity.
CMC 256 as recorder
34
Determining the residual
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Determining the residual
magnetism• Analysis of the measured values – With voltage V0 applied, the current I0 increases.
The internal load of the transformer Z0 drops until V0, I0 and Z0
are constant.
35
Determining the residual
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Determining the residual
magnetism• Analysis of the measured values
– As the flux in the core increases, the main inductance LH of the
transformer changes. At maximum flux, the unsaturated
inductance LS becomes the saturated inductance LS.
36
Determining the residual
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Determining the residual
magnetism• Analysis of the measured values – The reactance XLS of the saturated main inductance LS is several
times lower than the DC internal resistance RCT of the
transformer. As such, Z0 = RCT at constant current flow.
const.Iwhen88,3 000
0 CT R I V
Z
37
Determining the residual
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Determining the residual
magnetism• Analysis of the measured values – If RCT is known, the voltage can be calculated via the main
inductance LH.
CT R L R I V V V V CT H 000
38
Determining the residual
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Determining the residual
magnetism• Analysis of the measured values – The area below the voltage VLH is the magnetic flux
[Φ in Vs] in the current transformer's core.
39
Determining the residual
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Determining the residual
magnetism• Analysis of the measured values – Approximate calculation of the areas (of the flux in the core).
VssV t V 16.64.14.41
VssV t V 5.105.22.42
40
Determining the residual
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Determining the residual
magnetism• Analysis of the measured values – Calculation of the flux via the integral of the voltage VLH.
VsdxV f s
s
LH 24.6
0,2
0,0
1
Vs72.102
Vs65.103
41
Determining the residual
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Determining the residual
magnetism• Analysis of the measured values
– Conclusions regarding the flux of the transformer at the start of
the measurement. The difference between Φ3 and Φ1 is the flux
level prior to starting the measurement.
VsVsVs 41.424.665.1013magnetismResidual
magnetismResidual31
42
Determining the residual
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Determining the residual
magnetism• Analysis of the measured values – To determine the residual magnetism, the core is fully
magnetized in the positive direction right up to saturation
(I0 = constant) prior to starting
measurements.
VsdxV f s
s
L 25.2
0.2
0.0
1
VsVsVs 4.825.265.1013magnetismResidual
43
Determining the residual
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Determining the residual
magnetism• Analysis of the measured values – The residual magnetism determined [Kr] for this core is around78.9%.
%9.7865.10
4.8%100
Vs
VsKr
44
Determining the residual
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Determining the residual
magnetism• Analysis of the measurement results – For the sake of completeness it should be mentioned, that the
saturation flux acc. IEC is reached when a 10% increase of B
causes a 50% increase of H.
saturationremanence
saturation
remanenceremanence 100
K
45
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Summary
> Residual Magnetism will effect how a CT performsduring a fault.
> Demag after all tests.
> May want to consider Demag after faults on criticalcircuits.
> Questions??
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Thanks for your attention.