EC Formula
description
Transcript of EC Formula
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Eddy Current Inspection Formula-
Ohm's Law Impedance Phase Angle MagneticPermeability
Where:
I Current (amp)V Voltage (volt)
Z Impedance (ohm)
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Where:
Z Impedance (ohm)R Resistance (ohm)XL Inductance
Reactance(ohm)
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Where:
Phase Angle (deg)
XLInductanceReactance(ohm)
R Resistance (ohm)
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Where:
Magnetic Permeability(Henries/meter)
B Magnetic Flux Density(Tesla)H Magnetizing Force
(Am/meter)
Relative Magnetic
PermeabilityConductivity &
ResistivityElectrical
Conductivity(%IACS)
Electrical Conductivity
(%IACS)
Where:
rRelative MagneticPermeability(dimensionless)
Any Given MagneticPermeability (H/m)
o
MagneticPermeability in FreeSpace (H/m), which is1.257 x 10-6 H/m
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Where:
ElectricalConductivitySiemens/m
ElectricalResistivity(ohm-m)
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When resistivity is known
Where:
IACSElectricalConductivity(% IACS)
ElectricalResistivity(ohm-cm)
S/cmElectricalConductivity(Siemens/cm)
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When conductivity in S/m or S/cm is known
or
Where:
IACSElectricalConductivity(% IACS)
S/mElectricalConductivity(Siemens/meter)
S/cmElectricalConductivity(Siemens/cm)
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Current Density Standard Depthof PenetrationStandard Depthof Penetration
Standard Depthof Penetration
Where:
JxCurrent Density(amps/m2)
Jo Current Density atSurface (amps/m2)
e Base Natural Log =2.71828x Distance Below Surface Standard Depth of
Penetration
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When electrical conductivity(S/m) is known.
Where:
Standard Depth ofPenetration (m)
3.14f Test Frequency (Hz)
MagneticPermeability (H/m)(1.257 x 10-6 H/m fornonmagnetic mat'ls)
ElectricalConductivity(Siemens/m)
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When electrical conductivity ( IACS) is known.
In mm
Ininches
Where:
Standard Depth ofPenetration (mm or in)
f Test Frequency (Hz)
rRelative MagneticPermeability(dimensionless)
ElectricalConductivity(%IACS)
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When electrical resistivity (ohm-cm) is known.
In mm
Ininches
Where:
Standard Depth ofPenetration (mm or in)
Electrical Resistivity(ohm-cm)
f Test Frequency (Hz)
rRelative MagneticPermeability(dimensionless)
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Standard Depth of PenetrationVersus Frequency Chart
Eddy Current Field Phase Lag
Eddy Current Field Phase Lag
Eddy Current Field Phase Lag
Eddy Current Field Phase Lag
InRadians
InDegrees
Where:
Phase Lag (Rad orDegrees)
x Distance Below Surface(in or mm) Standard Depth of
Penetration (in or mm)
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When electrical conductivity(S/m) is known.
Where:
Phase Lag (degrees)
x Distance BelowSurface (m) 3.14f Test Frequency (Hz)
rRelative MagneticPermeability
Electrical Conductivity(Siemens/m)
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When electrical conductivity ( IACS) is known.
In mm
Ininches
Where:
Phase Lag (degrees)
x Distance BelowSurface (mm)f Test Frequency (Hz)
rRelative MagneticPermeability(dimensionless)
ElectricalConductivity(%IACS)
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When electrical resistivity (ohm-cm) is known.
In mm
Ininches
Where:
Phase Lag (degrees)
x Distance BelowSurface (inch)
Electrical Resistivity(ohm-cm)
f Test Frequency (Hz)
rRelative MagneticPermeability(dimensionless)
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Standard Depth ofPenetration and
Phase Angle
Material ThicknessRequirement for
Resistivity orConductivity
Measurement
FrequencySelection
for ThicknessMeasurement of
Thin Materials
Frequency Selectionfor Flaw Detection and Nonconductive Coating ThicknessMeasurements
Std.Depth
RelativeStrengthof EC
Phase Lag
0 e0=100% 0 rad = 0o
d e-1=37% 1 rad = 57.3o
2d e-2=14% 2 rad = 114.6 o
3d e-3=5% 3 rad = 171.9 o
4d e-4=2% 4 rad = 229.2 o
5d e-5=0.7% 5 rad = 286.5 o
When measuring resistivity orconductivity, the thickness ofthe material should be at least 3times the depth of penetrationto minimize material thicknesseffects
Where:
t Material Thickness
Standard Depth ofPenetration
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Selecting a frequency thatproduces a standard depth ofpenetration that exceeds thematerial thickness by 25% willproduce a phase angle ofapproximately 90obetween theliftoff signal and the materialthickness change signal.
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Defect Detection A test frequency that puts thestandard depth of penetration atabout the expected depth of thedefect will provide good phaseseparation between the defectand liftoff signals.
Nonconductive CoatingThickness MeasurementTo minimize effects from thebase metal the highestpractical frequency should beused.