CN106443527A - Method and system for measuring magnetization curve of ferromagnetic conductor based on skin effect - Google Patents

Method and system for measuring magnetization curve of ferromagnetic conductor based on skin effect Download PDF

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Publication number
CN106443527A
CN106443527A CN201610957453.2A CN201610957453A CN106443527A CN 106443527 A CN106443527 A CN 106443527A CN 201610957453 A CN201610957453 A CN 201610957453A CN 106443527 A CN106443527 A CN 106443527A
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testing sample
magnetization curve
target detection
electrical resistance
sample
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杨勇
杨文璐
杨远聪
安虹宇
王华俊
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China University of Geosciences
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China University of Geosciences
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00Arrangements or instruments for measuring magnetic variables
    • G01R33/12Measuring magnetic properties of articles or specimens of solids or fluids
    • G01R33/1223Measuring permeability, i.e. permeameters
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00Arrangements or instruments for measuring magnetic variables
    • G01R33/12Measuring magnetic properties of articles or specimens of solids or fluids
    • G01R33/1215Measuring magnetisation; Particular magnetometers therefor

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  • Condensed Matter Physics & Semiconductors (AREA)
  • General Physics & Mathematics (AREA)
  • Investigating Or Analyzing Materials By The Use Of Magnetic Means (AREA)
  • Measuring Magnetic Variables (AREA)

Abstract

The invention relates to a method and a system for measuring a magnetization curve of a ferromagnetic conductor based on a skin effect. The system comprises a signal source unit, a voltage detection unit and a main control unit, and is characterized in that the signal source unit is connected at two ends of a sample to be detected so as to provide DC bias current and AC excitation current for the sample to be detected; the voltage detection unit detects a voltage signal between two target detection points on the sample to be detected; the main control unit calculates the resistivity of the sample to be detected and the relative permeability of the sample to be detected under the corresponding bias current; and the main control unit is further used for calculating the magnetic field intensity and/or the magnetic induction intensity, and drawing a magnetization curve of the sample to be detected. The system provided by the invention realizes non-destructive detection for the relative permeability and the magnetization curve of the ferromagnetic conductor material, and is convenient in detection, high in sensitivity and stable and reliable in test.

Description

A kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect and system
Technical field
The present invention relates to electromagnetic nondestructive testing field, more particularly to a kind of ferromagnetic conductor magnetic based on Kelvin effect Change curved measurement method and system.
Background technology
Material magnetization characteristic and pcrmeability can be obtained by the magnetization curve of ferromagnetic conductor material.Pcrmeability is important Physical parameter, it be related to transformator, motor, commutator, inducer, signal coupler, magnetostrictive device, electro-acoustic element, The quality of signal and power converter etc..And the composition of the magnetization curve feature of material and pcrmeability and material, structure, Re Chu Reason, mechanical shock, fatigue damage, electromagnetic shielding etc. are closely related, and therefore the detection based on magnetization curve and pcrmeability is also extensive The fields such as materials classification, structure detection, stress analysis, flaw detection, electromagnetic compatibility engineering are applied to, tool is widely used.Pcrmeability Effective detection be related to properties of product, cost, even service life, product safety.Accurately and reliably measurement pcrmeability has weight Want meaning.
Conventional magnetization curve and pcrmeability detection limit method mainly have:Ballistic current method, oscilloscope method, LC the resonance method, Sensing low level signal amplification method, loop sample hysteresis curve method, coil impedance method (voltammetry, VNA method, bridge method) etc..These sides The common feature of method is that testing sample itself or testing sample constitute magnetic loop with probe, and using excitation and induction coil, and According to signal of change permeability on coil.Common issue is:Non- sample ring measuring method magnetic circuit leakage field is difficult to control to, annular sample Product are difficult to, process and be difficult to avoid that magnetic characteristic change, two coil tightness, the number of turn and position all may impact tests.Also It is described by the magnetic distribution inside analysis of two-dimensional elongate cylinder conductor and three-dimensional circular loop conductor to have a kind of method, derives And be given the approximate formula (containing geometric parameter) that pcrmeability is sought by regular conductor impedance;Use electric impedance analyzer measuring gage Then conductor impedance substitutes into the method that formula calculates pcrmeability.Geometric parameter sensitivity of the method to sample, the measurement of internal resistance Error may affect pcrmeability accuracy in computation, and the method is also required to make sample ring, is also difficult to avoid that relevant issues, the method is another Individual problem is that sample ring is equivalent to single-turn circular coil, causes centering low frequency measurement error big, unstable.
Content of the invention
The technical problem to be solved is for above-mentioned the deficiencies in the prior art, provides a kind of based on Kelvin effect Ferromagnetic conductor magnetization curve measuring method and system.
The technical scheme that the present invention solves above-mentioned technical problem is as follows:According to one aspect of the present invention, there is provided a kind of Based on the ferromagnetic conductor magnetization curve measuring method of Kelvin effect, comprise the steps:
Step 1:DC bias current I is added in radius for the cylindrical testing sample two ends of rDC(i) and ac-excited electricity Stream IAC, and choose on testing sample at a distance of two target detection points for L, detect low between two target detection points Frequency resistance value R0(i);
Step 2:According to low-frequency electrical resistance R on testing sample between described two target detection points0(i), two The individual target detection dot spacing L and testing sample radius r calculates the electricalresistivityρ of testing sample;
Step 3:High-frequency electrical resistance R (i) on detection testing sample between two target detection points;
Step 4:According to low-frequency electrical resistance R between two on the testing sample target detection points0(i), alternating-current resistance Value R (i), radius r and electricalresistivityρ calculate the relative permeability μ of testing sampler(i);
Step 5:Change DC bias current IDCThe size and Orientation of (i), repeat step 1 to 4, detects different DC biased Electric current IDCRelative permeability μ when (i)r(i);
Step 6:According to DC bias current IDC(i) and relative permeability μr(i) calculating magnetic field intensity H (i) and/or magnetic Induction B (i), and draw the magnetization curve μ of testing sampler(i)~H (i) and B (i)~H (i).
A kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect of the present invention, effectively prevent conventional side Method needs to process circlewise sample and need the trouble of coiling, it also avoid non-sample ring measuring method magnetic circuit leakage field etc. Defect, simply ingenious, it is achieved that the Non-Destructive Testing of ferromagnetic conductor material relative permeability and magnetization curve, easy to detect, Sensitivity is higher, stable testing reliability.
On the basis of technique scheme, the present invention can also do following improvement:
Further:In the step 1, direct current is provided using the AC power source containing direct current biasing for testing sample two ends Bias current IDC(i) and ac-excited electric current IAC.
The beneficial effect of above-mentioned further scheme is:Can be testing sample by the AC power source containing direct current biasing DC bias current I is providedDCI (), makes sample in certain magnetic field intensity, the pcrmeability that is convenient for measuring under the magnetic field intensity and Magnetic induction.
Further:The direct current biasing IDCI the size and Orientation of () is adjustable, ac-excited electric current IACSize and frequency f Adjustable.
The beneficial effect of above-mentioned further scheme is:By independent regulation DC bias current IDCThe size of (i) and direction, And the ac-excited electric current I of independent regulationACSize and frequency, be convenient for measuring different DC biased electric current IDC(i) and different frequencies Relative permeability μ under rater(i).
Further:The ac-excited electric current IACFrequency f0Scope is 1-160Hz, to cylindrical conductor material, The computing formula of higher frequency f is:
Wherein, r is the radius of cylindrical testing sample.
Further:In the step 2, the computing formula of the electricalresistivityρ of testing sample is as follows:
Wherein, r is the radius of cylindrical testing sample, R0I () is the low-frequency electrical resistance of testing sample, L is testing sample Length between upper two target detection points.
The beneficial effect of above-mentioned further scheme is:The resistivity of testing sample can be calculated by above-mentioned formula.
Further:In the step 4, the relative permeability μ of testing sample is calculatedrFormula as follows:
Or
Wherein, ρ is the resistivity of testing sample, and r is the radius of cylindrical testing sample, and f is to exchange in excitation current source I Exciting current IACFrequency, R (i) is the high-frequency electrical resistance on testing sample between described two target detection points, R0I () is for treating Low-frequency electrical resistance on test sample product between described two test points, L is between two target detection points on testing sample Length.
The beneficial effect of above-mentioned further scheme is:According to aforesaid way, testing sample can be more accurately calculated Pcrmeability, previous formula is the electricalresistivityρ for having calculated that testing sample in abovementioned steps, or electricalresistivityρ can by other way Direct calculation formulas in the case of the inquiry acquisition of footpath, can not also calculate the electricalresistivityρ of testing sample, directly in abovementioned steps Connect and directly calculated according to a rear formula, the result that the two calculates is consistent.
Further:In the step 6, testing sample near surface magnetic field intensity H (i) and/or magnetic induction density B is calculated I the formula of () is:
B (i)=μr(i)H(i)
Wherein, r is the radius of testing sample, IDCI () is DC bias current size, μrI () is relative for testing sample Pcrmeability.
The beneficial effect of above-mentioned further scheme is:Can be according to DC bias current I by above-mentioned formulaDC(i) and treat The radiuscope of test sample product calculates magnetic field intensity H (i) of testing sample near surface, and the testing sample that measures of abovementioned steps Relative permeability μrI () is calculating the magnetic induction density B (i) of testing sample.
According to another aspect of the present invention, there is provided a kind of ferromagnetic conductor magnetization curve based on Kelvin effect is measured System, including signal source unit, voltage detection unit, main control unit and magnetization curve drawing unit.
The signal source unit is connected to testing sample two ends, for providing DC bias current I for testing sampleDC(i) With ac-excited electric current IAC;The voltage detection unit is used for detecting the voltage letter on testing sample between two target detection points Number;The main control unit is used for detecting in different DC biased electric current I between two target detection points on testing sampleDC(i) Under low-frequency electrical resistance R0(i) and high-frequency electrical resistance R (i);Be additionally operable to according to two on the testing sample target detection points it Between low-frequency electrical resistance R0(i) calculate testing sample electricalresistivityρ, be additionally operable to according to described two test points on testing sample it Between low-frequency electrical resistance R0I (), high-frequency electrical resistance R (i), radius r and electricalresistivityρ calculate testing sample in corresponding bias current IDC Relative permeability μ under (i)r(i);It is additionally operable to according to DC bias current IDC(i) and relative permeability μrI () calculating magnetic field is strong Degree H (i) and magnetic induction density B (i), and draw the magnetization curve μ of testing sampler(i)~H (i) and B (i)~H (i).
A kind of ferromagnetic conductor magnetization curve measuring system based on Kelvin effect of the present invention, effectively prevent conventional side Method needs to process circlewise sample and need the trouble of coiling, it also avoid magnetic circuit leakage field during the measurement of non-annularity sample Etc. defect, simply ingenious, it is achieved that the pcrmeability Non-Destructive Testing of magnetic conductor material, and the magnetization curve inspection based on pcrmeability Survey, easy to operate, sensitivity is higher, stable testing reliability, with higher whole detection efficiency.
On the basis of technique scheme, the present invention can also do following improvement:
Further:The voltage detection unit adopts lock-in amplifier, the signal source unit and the lock-in amplifier Connection, and reference signal is provided for the lock-in amplifier.
The beneficial effect of above-mentioned further scheme is:Can be to two target detection points by the lock-in amplifier Between voltage signal enter horizontal lock processing and amplifying, and suppress noise.
Further:Also include first every straight unit and second every straight unit, described first is connected to the letter every straight unit Number between source unit and the voltage detection unit, described second is connected to the testing sample every straight unit is examined with the voltage Survey between unit.
The beneficial effect of above-mentioned further scheme is:Can be effective every straight unit every straight unit and second by described first The flip-flop in signal is filtered, suppresses noise, prevent lock-in amplifier input saturation so that testing result is more accurate Really.
Description of the drawings
Fig. 1 is a kind of ferromagnetic conductor magnetization curve measuring method schematic flow sheet based on Kelvin effect of the present invention;
Fig. 2 is a kind of ferromagnetic conductor magnetization curve measuring system structural representation based on Kelvin effect of the present invention;
Fig. 3 is a kind of structure of ferromagnetic conductor magnetization curve measuring system embodiment based on Kelvin effect of the present invention Schematic diagram.
Specific embodiment
Below in conjunction with accompanying drawing, the principle of the present invention and feature are described, example is served only for explaining the present invention, and Non- for limiting the scope of the present invention.
It should be noted that illustrating by taking cylindrical testing sample as an example in the present invention, can not regard as to be measured The restriction of sample, the testing sample for being directed to its shape in practice can also carry out similar process according to the method for the present invention, this A little all within the scope of the present invention.
Embodiment one, a kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect, below in conjunction with Fig. 1 pair A kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect of the present embodiment describes in detail.
As shown in figure 1, a kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect, comprises the steps:
Step 1:DC bias current I is added in radius for the cylindrical testing sample two ends of rDC(i) and ac-excited electricity Stream IAC, and choose on testing sample at a distance of two target detection points for L, detect low between two target detection points Frequency resistance value R0(i);
Step 2:According to low-frequency electrical resistance R on testing sample between described two target detection points0(i), two The individual target detection dot spacing L and testing sample radius r calculates the electricalresistivityρ of testing sample;
Step 3:High-frequency electrical resistance R (i) on detection testing sample between two target detection points;
Step 4:According to low-frequency electrical resistance R between two on the testing sample target detection points0(i), alternating-current resistance Value R (i), radius r and electricalresistivityρ calculate the relative permeability μ of testing sampler(i);
Step 5:Change DC bias current IDCThe size and Orientation of (i), repeat step 1 to 4, detects different DC biased Electric current IDCRelative permeability μ when (i)r(i);
Step 6:According to DC bias current IDC(i) and relative permeability μr(i) calculating magnetic field intensity H (i) and/or magnetic Induction B (i), and draw the magnetization curve μ of testing sampler(i)~H (i) and B (i)~H (i).
In the present embodiment, in the step 1, provided for testing sample two ends using the AC power source containing direct current biasing DC bias current IDC(i) and ac-excited electric current IAC.It is in can sample by the AC power source containing direct current biasing Certain magnetic field intensity, the pcrmeability being convenient for measuring under the magnetic field intensity and magnetic induction.
Preferably, the direct current biasing IDCI the size and Orientation of () is adjustable, ac-excited electric current IACSize and frequency f Adjustable.By independent regulation DC bias current IDCThe size of (i) and direction, and the ac-excited electric current I of independent regulationAC's Size and frequency, can very easily measure different DC biased electric current IDCRelative permeability μ under (i) and different frequencyr (i).
In the present embodiment, the ac-excited electric current IACFrequency f01-160Hz is ranged preferably from, cylinder is led Body material, the computing formula of higher frequency f is:
Wherein, r is the radius of cylindrical testing sample.
As resistance is in low-frequency ac exciting current IACSubstantially do not affected to keep stable by Kelvin effect under signal, low frequency is examined The resistance value of survey is substantially DC resistance.In addition, why the scope of higher frequency needs such restriction here, selection Foundation is ac-excited electric current I of the testing sample in different frequencyACWhen, its skin depth difference, with ac-excited electric current IAC Frequency increase, skin depth can reduce, if ac-excited electric current IACFrequency too little, skin depth is relative to be compared Greatly, skin depth d is now unsatisfactory forsThe condition of the radius r of testing sample is significantly less than, i.e. now relative permeability μrThe meter of (i) Calculating formula is false;If the frequency of pumping signal is too big, the relative meeting very little of skin depth, now, testing sample surface damage Impact can not ignore, and when frequency is too high, pcrmeability and resistivity can all change.Shown according to repetition test detection, to many When the scope of number steel samples higher frequency is in the scope shown in above formula, testing result is more accurate.
In actually detected, if necessary to detect the initial relative permeability of testing sample, then need to enter testing sample Row demagnetization is processed, and concrete grammar is:By the direct current biasing I in the exciting current IDCBe sized to 0, retain the excitation electricity Alternating component in the I of stream source simultaneously from big to small and is reduced to 0 order and carries out demagnetization process to testing sample according to alternating current.Logical Above-mentioned demagnetization process is crossed, the original magnetic of testing sample can be eliminated, it is to avoid the detection of original effect of magnetic influence relative permeability, So that measurement result is more accurate.
In the present embodiment, in the step 2, the computing formula of the electricalresistivityρ of testing sample is as follows:
Wherein, r is the radius of cylindrical testing sample, R0I () is the low-frequency electrical resistance of testing sample, L is testing sample Length between upper two target detection points.
The resistivity of testing sample can be calculated by above-mentioned formula.Here, suppose that whole testing sample is uniform.
Further:In the step 4, the relative permeability μ of testing sample is calculatedrFormula as follows:
Or
Wherein, ρ is the resistivity of testing sample, and r is the radius of cylindrical testing sample, and f is to exchange in excitation current source I Exciting current IACFrequency, R (i) is the high-frequency electrical resistance on testing sample between described two target detection points, R0I () is for treating Low-frequency electrical resistance on test sample product between described two test points, L is between two target detection points on testing sample Length.
According to aforesaid way, can more accurately calculate the pcrmeability of testing sample, previous formula be aforementioned Step has calculated that the electricalresistivityρ of testing sample, or the direct calculating in the case that electricalresistivityρ can be obtained by other approach inquiries Formula, can not also calculate the electricalresistivityρ of testing sample in abovementioned steps, directly directly be calculated according to a rear formula, two The result that person calculates is consistent.
In the present embodiment, in the step 6, calculate testing sample near surface magnetic field intensity H (i) and/or magnetic induction is strong Degree B (i) formula be:
B (i)=μr(i)H(i)
Wherein, r is the radius of testing sample, IDCI () is DC bias current size, μrI () is relative for testing sample Pcrmeability.
Can be according to DC bias current I by above-mentioned formulaDCI the radiuscope of () and testing sample calculates testing sample table Magnetic field intensity H (i) near face, and the relative permeability μ of testing sample that abovementioned steps are measuredrI () treats test sample to calculate The magnetic induction density B (i) of product.
Embodiment two, a kind of ferromagnetic conductor magnetization curve measuring system based on Kelvin effect, below in conjunction with Fig. 2 pair A kind of ferromagnetic conductor magnetization curve measuring system based on Kelvin effect of the present embodiment describes in detail.
As shown in Fig. 2 a kind of ferromagnetic conductor magnetization curve measuring system based on Kelvin effect, including signal source list Unit, voltage detection unit, main control unit and magnetization curve drawing unit.
Wherein, the signal source unit is connected to testing sample two ends, for providing DC bias current for testing sample IDC(i) and ac-excited electric current IAC;The voltage detection unit is used for detecting on testing sample between two target detection points Voltage signal, coordinates the ac-excited electric current I in the signal source unit so as to main control unitACCalculate low-frequency electrical resistance R0 (i) and high-frequency electrical resistance R (i);The main control unit is used for detecting in difference between two target detection points on testing sample DC bias current IDCLow-frequency electrical resistance R under (i)0(i) and high-frequency electrical resistance R (i);It is additionally operable to according to two on testing sample Low-frequency electrical resistance R between the target detection point0I () calculates the electricalresistivityρ of testing sample, be additionally operable to according on testing sample Low-frequency electrical resistance R between described two test points0I (), high-frequency electrical resistance R (i), radius r and electricalresistivityρ calculate testing sample In corresponding bias current IDCRelative permeability μ under (i)r(i);It is additionally operable to according to DC bias current IDC(i) and relative magnetic permeability Rate μr(i) calculating magnetic field intensity H (i) and magnetic induction density B (i), and draw the magnetization curve μ of testing sampler(i)~H (i) and B (i)~H (i).
Preferably, the voltage detection unit adopts lock-in amplifier, the signal source unit and the lock-in amplifier Connection, and reference signal is provided for the lock-in amplifier.Can be to two target inspections by the lock phase amplifying unit Voltage signal between measuring point enters horizontal lock processing and amplifying, and suppresses noise.
Preferably, also include first every straight unit and second every straight unit, described first is connected to the letter every straight unit Number between source unit and the voltage detection unit, described second is connected to the testing sample every straight unit is examined with the voltage Survey between unit.Flip-flop in signal can be effectively filtered out every straight unit every straight unit and second by described first, suppression Noise processed, prevents lock-in amplifier input saturation so that testing result is more accurate.
Preferably, described in the present embodiment first every straight unit and second every straight unit all using RC circuit.Preferably, also Including output unit, the output unit is connected with the main control unit, and externally exports testing result.
Preferably, the output unit includes display screen, and the display screen is connected with the main control unit, and shows inspection Survey result.Monitoring result, the such as magnetization curve of testing sample or magnetization can eaily be shown by the display screen Parameter.
Preferably, the output unit also includes printer, and the printer is connected with the main control unit, and is printed Testing result.
As shown in figure 3, the structural representation of the magnetization curve measuring system embodiment based on Kelvin effect for the present invention.
A kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect of the present invention and system, effectively prevent Conventional method need by sample process circlewise, need the trouble of coiling, it also avoid the leakage of non-sample ring test method magnetic circuit The defects such as magnetic, simply ingenious, it is achieved that the Non-Destructive Testing of magnetic material magnetization characteristic, can be applicable to various ferromagnetic conductor materials Pcrmeability detection, and based on pcrmeability magnetization curve detect, easy to operate, sensitivity is higher, stable testing reliability, tool There is higher whole detection efficiency.
The foregoing is only presently preferred embodiments of the present invention, not in order to limit the present invention, all spirit in the present invention and Within principle, any modification, equivalent substitution and improvement that is made etc., should be included within the scope of the present invention.

Claims (10)

1. a kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect, it is characterised in that comprise the steps:
Step 1:DC bias current I is added in radius for the cylindrical testing sample two ends of rDC(i) and ac-excited electric current IAC, And choose at a distance of two target detection points for L on testing sample, detect the low-frequency electrical between two target detection points Resistance R0(i);
Step 2:According to low-frequency electrical resistance R on testing sample between described two target detection points0(i), described in two Target detection dot spacing L and testing sample radius r calculates the electricalresistivityρ of testing sample;
Step 3:High-frequency electrical resistance R (i) on detection testing sample between two target detection points;
Step 4:According to low-frequency electrical resistance R between two on the testing sample target detection points0(i), high-frequency electrical resistance R I (), radius r and electricalresistivityρ calculate the relative permeability μ of testing sampler(i);
Step 5:Change DC bias current IDCThe size and Orientation of (i), repeat step 1 to 4, detects different DC biased electric current IDCRelative permeability μ when (i)r(i);
Step 6:According to DC bias current IDC(i) and relative permeability μrI () calculating magnetic field intensity H (i) and magnetic induction are strong Degree B (i), and draw the magnetization curve μ of testing sampler(i)~H (i) and/or B (i)~H (i).
2. a kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect according to claim 1, its feature exists In:In the step 1, DC bias current I is provided using the AC power source containing direct current biasing for testing sample two endsDC (i) and ac-excited electric current IAC.
3. a kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect according to claim 2, its feature exists In:The direct current biasing IDCI the size and Orientation of () is adjustable, ac-excited electric current IACSize and frequency f adjustable.
4. a kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect according to claim 2, its feature exists In:The ac-excited electric current IACFrequency f0Scope is 1-160Hz, and the computing formula of higher frequency f is:
f ≈ 0.2 - 0.7 4 r 2
Wherein, r is the radius of cylindrical testing sample.
5. a kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect according to claim 1, its feature exists In:In the step 2, the computing formula of the electricalresistivityρ of testing sample is as follows:
ρ = πr 2 R 0 ( i ) L
Wherein, r is the radius of cylindrical testing sample, R0I () is the low-frequency electrical resistance of testing sample, L is two on testing sample Length between the target detection point.
6. a kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect according to claim 1, its feature exists In:In the step 4, the relative permeability μ of testing sample is calculatedrFormula as follows:
μ r ( i ) ≈ 4052813.2 ρ 4 r 2 f ( R ( i ) R 0 ( i ) ) 2
Or
Wherein, ρ is the resistivity of testing sample, and r is the radius of cylindrical testing sample, and f is ac-excited in excitation current source I Electric current IACFrequency, R (i) is the high-frequency electrical resistance on testing sample between described two target detection points, R0I () is for treating test sample Low-frequency electrical resistance on product between described two test points, L is the length on testing sample between two target detection points.
7. a kind of ferromagnetic conductor magnetization curve measuring method based on Kelvin effect according to claim 1, its feature exists In:In the step 6, the formula for calculating testing sample near surface magnetic field intensity H (i) and/or magnetic induction density B (i) is:
H ( i ) = I D C ( i ) 2 π r
B (i)=μr(i)H(i)
Wherein, r is the radius of testing sample, IDCI () is DC bias current size, μrI () is the relative magnetic permeability of testing sample Rate.
8. a kind of ferromagnetic conductor magnetization curve measuring system based on Kelvin effect, it is characterised in that:Including signal source unit, Voltage detection unit and main control unit;
The signal source unit is connected to testing sample two ends, for providing DC bias current I for testing sampleDC(i) and hand over Stream exciting current IAC
The voltage detection unit is used for detecting the voltage signal on testing sample between two target detection points;
The main control unit is used for detecting in different DC biased electric current I between two target detection points on testing sampleDC(i) Under low-frequency electrical resistance R0(i) and high-frequency electrical resistance R (i);Be additionally operable to according to two on the testing sample target detection points it Between low-frequency electrical resistance R0(i) calculate testing sample electricalresistivityρ, be additionally operable to according to described two test points on testing sample it Between low-frequency electrical resistance R0I (), high-frequency electrical resistance R (i), radius r and electricalresistivityρ calculate testing sample in corresponding bias current IDC Relative permeability μ under (i)r(i);It is additionally operable to according to DC bias current IDC(i) and relative permeability μrI () calculating magnetic field is strong Degree H (i) and magnetic induction density B (i), and draw the magnetization curve μ of testing sampler(i)~H (i) and B (i)~H (i).
9. a kind of ferromagnetic conductor magnetization curve measuring system based on Kelvin effect according to claim 8, its feature exists In:The voltage detection unit adopts lock-in amplifier, and the signal source unit is connected with the lock-in amplifier, and is described Lock-in amplifier provides reference signal, for entering at horizontal lock amplification to the voltage signal between two target detection points Reason, and suppress noise.
10. a kind of ferromagnetic conductor magnetization curve measuring system based on Kelvin effect according to claim 8 or claim 9, which is special Levy and be:Also include first every straight unit and second every straight unit, described first is connected to the signal source unit every straight unit Between the voltage detection unit, described second every straight unit be connected to the testing sample and the voltage detection unit it Between.
CN201610957453.2A 2016-10-27 2016-10-27 Method and system for measuring magnetization curve of ferromagnetic conductor based on skin effect Pending CN106443527A (en)

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Cited By (1)

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Publication number Priority date Publication date Assignee Title
CN111505548A (en) * 2020-03-27 2020-08-07 北京华航海鹰新技术开发有限责任公司 Method for measuring annular magnetic hysteresis loop of amorphous wire

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