CN118091257B - System and method for measuring sensitive loop resistance of magnetic fluid angular vibration sensor - Google Patents
System and method for measuring sensitive loop resistance of magnetic fluid angular vibration sensor Download PDFInfo
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- CN118091257B CN118091257B CN202410508303.8A CN202410508303A CN118091257B CN 118091257 B CN118091257 B CN 118091257B CN 202410508303 A CN202410508303 A CN 202410508303A CN 118091257 B CN118091257 B CN 118091257B
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- 239000011553 magnetic fluid Substances 0.000 title claims abstract description 65
- 238000000034 method Methods 0.000 title claims abstract description 24
- 239000012530 fluid Substances 0.000 claims abstract description 18
- 238000005259 measurement Methods 0.000 claims description 13
- 230000035945 sensitivity Effects 0.000 claims description 5
- 238000010586 diagram Methods 0.000 description 10
- 238000012360 testing method Methods 0.000 description 10
- 230000008878 coupling Effects 0.000 description 7
- 238000010168 coupling process Methods 0.000 description 7
- 238000005859 coupling reaction Methods 0.000 description 7
- 238000001514 detection method Methods 0.000 description 4
- 238000011156 evaluation Methods 0.000 description 4
- RYGMFSIKBFXOCR-UHFFFAOYSA-N Copper Chemical compound [Cu] RYGMFSIKBFXOCR-UHFFFAOYSA-N 0.000 description 3
- 239000004020 conductor Substances 0.000 description 3
- 229910052802 copper Inorganic materials 0.000 description 3
- 239000010949 copper Substances 0.000 description 3
- 239000000523 sample Substances 0.000 description 3
- 238000007796 conventional method Methods 0.000 description 2
- 230000005674 electromagnetic induction Effects 0.000 description 2
- 239000000696 magnetic material Substances 0.000 description 2
- 239000000203 mixture Substances 0.000 description 2
- 230000008569 process Effects 0.000 description 2
- 239000000428 dust Substances 0.000 description 1
- 230000004907 flux Effects 0.000 description 1
- 239000011810 insulating material Substances 0.000 description 1
- 239000002184 metal Substances 0.000 description 1
- 229910052751 metal Inorganic materials 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 239000002707 nanocrystalline material Substances 0.000 description 1
- 230000002265 prevention Effects 0.000 description 1
- 238000011160 research Methods 0.000 description 1
- 238000004804 winding Methods 0.000 description 1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R27/00—Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
- G01R27/02—Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01H—MEASUREMENT OF MECHANICAL VIBRATIONS OR ULTRASONIC, SONIC OR INFRASONIC WAVES
- G01H11/00—Measuring mechanical vibrations or ultrasonic, sonic or infrasonic waves by detecting changes in electric or magnetic properties
- G01H11/02—Measuring mechanical vibrations or ultrasonic, sonic or infrasonic waves by detecting changes in electric or magnetic properties by magnetic means, e.g. reluctance
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Abstract
The invention provides a system and a method for measuring the sensitive loop resistance of a magnetic fluid angular vibration sensor, wherein the magnetic fluid angular vibration sensor comprises: a first electrode and a second electrode disposed opposite to each other; the outer sleeve is sleeved on the periphery of the conductive column and is positioned between the first electrode and the second electrode; the inner sleeve is sleeved on the inner side of the outer sleeve, and forms a fluid channel with the outer sleeve, the first electrode and the second electrode for filling conductive fluid; the system comprises: the magnetic core surrounds the periphery of the conductive column; the mutual inductance coil is wound on the magnetic core; the measuring unit is electrically connected with the mutual inductance coil to form a primary side, and is used for inputting alternating current to the mutual inductance coil and measuring the total input impedance of the primary side and the inductance value of the mutual inductance coil, wherein the frequency of the alternating current is larger than the ratio of the estimated value of the sensitive loop resistance to the inductance value; the processor obtains a sensitive loop resistance based on the number of turns of the mutual inductance coil, the direct current input resistance and the total input impedance of the mutual inductance coil.
Description
Technical Field
The invention relates to the technical field of detection of magnetic fluid angular vibration sensors, in particular to a system and a method for measuring the sensitive loop resistance of a magnetic fluid angular vibration sensor.
Background
The magnetic fluid angular vibration sensor is a high-frequency angular vibration sensor, based on the principle of conductive fluid dynamics, conductive fluid moves in a magnetic field to cut magnetic lines of force to generate induced potential, has the characteristics of wide frequency band, low noise, impact resistance, small volume and the like, and is suitable for high-frequency micro-angular vibration measurement of a satellite platform.
The resistance of the conductive fluid and the metal electrode and the contact resistance thereof and the copper loss resistance of the conductive column form a sensitive loop resistance. The smaller the sensitive loop resistance, the smaller the influence on the output of the magnetic fluid angular vibration sensor, and the more stable the sensor system performance. Currently, in order to ensure stable operation of the magnetic fluid angular vibration sensor, a sensitive loop resistance of the magnetic fluid angular vibration sensor needs to be tested so as to adjust related parameters and structures.
The conventional testing method of the sensitive loop resistance is to measure the resistance value of each component of the sensitive loop of the magnetic fluid angular vibration sensor respectively, and then obtain the sensitive loop resistance as a whole. In principle, the main structure of the magnetic fluid angular vibration sensor is fixedly connected at one time, if the sensitive loop resistance of the magnetic fluid angular vibration sensor is detected after the magnetic fluid angular vibration sensor works for a period of time, the magnetic fluid angular vibration sensor needs to be disassembled, the structure of the magnetic fluid angular vibration sensor is inevitably damaged, and a large error exists between a resistance measured value and a true value of the actual work of the magnetic fluid angular vibration sensor, so that the performance evaluation of the magnetic fluid angular vibration sensor is influenced. In addition, the sensitive loop resistance of the magnetic fluid angular vibration sensor belongs to a tiny resistance (less than 0.5 mohm), and in the milliohm range, a balance bridge and a microohm meter are commonly adopted for measuring the tiny resistance, and the sensitive loop resistance is not suitable for measuring the sensitive loop resistance of the magnetic fluid angular vibration sensor, so a new solution is required to be found for measuring the sensitive loop resistance.
Disclosure of Invention
In view of the above, the present invention provides a system for measuring resistance, which can realize equivalent measurement of micro resistance of a sensitive loop of a magnetic fluid angular vibration sensor without damaging an internal structure of the magnetic fluid angular vibration sensor.
As one aspect of the present invention, there is provided a system for measuring a sensitivity loop resistance of a magnetic fluid angular vibration sensor, the magnetic fluid angular vibration sensor including first and second electrodes disposed opposite to each other, a conductive post electrically connected between the first and second electrodes, an outer sleeve sleeved on an outer periphery of the conductive post and positioned between the first and second electrodes, and an inner sleeve. The inner sleeve is sleeved on the inner side of the outer sleeve, and forms a fluid channel which is suitable for filling conductive fluid with the outer sleeve, the first electrode and the second electrode. The system comprises a magnetic core, a mutual inductance coil, a measuring unit and a processor. The magnetic core surrounds the periphery of the conductive post, and the mutual inductance coil is wound on the magnetic core. And the measuring unit is electrically connected with the mutual inductance coil to form a primary side, the primary side and a secondary side comprising the sensitive loop are magnetically coupled through the magnetic core, the measuring unit is suitable for inputting alternating current to the mutual inductance coil to measure the total input impedance of the primary side and the inductance value of the mutual inductance coil, and the frequency of the alternating current is larger than the ratio of the estimated value of the sensitive loop resistance to the inductance value. The processor is configured to derive the sensitive loop resistance based on the number of turns of the transformer, the direct current input resistance of the transformer, and the total input impedance.
According to an embodiment of the present invention, the above processor is further configured to: obtaining a primary side loop voltage equation according to the primary side equivalent circuit; obtaining a secondary side loop voltage equation according to the equivalent circuit of the secondary side; obtaining a total input impedance equation of the total input impedance according to the primary side loop voltage equation and the secondary side loop voltage equation; and obtaining the relation between the sensitive loop resistance and the turns of the mutual inductance coil, the direct current input resistance of the mutual inductance coil and the total input impedance according to the total input impedance equation, the relation between the frequency of the alternating current and the ratio of the estimated value to the inductance value and the relation between the primary side inductance and the secondary side inductance and the turns of the coil.
According to an embodiment of the present invention, the primary loop voltage equation is:
；
The secondary side loop voltage equation is:
；
Wherein, L 1 is the inductance value of the mutual inductance coil, L 2 is the equivalent inductance value of the sensitive loop, R 1 is the direct current input resistor, R 2 is the sensitive loop resistor, j is the imaginary unit, ω is the frequency of the alternating current, For the primary-side current,Is the current of the secondary side of the current transformer,The supply voltage provided for the measuring unit, M, is the mutual inductance.
According to an embodiment of the present invention, the obtaining a total input impedance equation of the total input impedance according to the primary side loop voltage equation and the secondary side loop voltage equation includes:
obtaining a secondary side current equation according to the secondary side loop voltage equation:
；
obtaining a power supply voltage equation according to the secondary side current equation:
；
According to the relation between the power supply voltage and the primary side current and the total input impedance, a total input impedance equation is obtained:
；
Wherein Z in is total input impedance, L 1 is inductance value of a mutual inductance coil, L 2 is equivalent inductance value of a sensitive loop, R 1 is direct current input resistance, R 2 is sensitive loop resistance, j is imaginary unit, ω is frequency of alternating current, For the primary-side current,Is the current of the secondary side of the current transformer,The supply voltage provided for the measuring unit, M, is the mutual inductance.
According to an embodiment of the present invention, after obtaining the total input impedance equation of the total input impedance according to the primary side loop voltage equation and the secondary side loop voltage equation, the method further includes: simplifying the total input impedance equation according to the relation between the mutual inductance and the primary side inductance value and the equivalent inductance value of the sensitive loop, and comprising:
The relationship between the mutual inductance and the primary side inductance value and the equivalent inductance value of the sensitive loop is as follows:
；
The above total input impedance equation is simplified to:
；
wherein, L 1 is the inductance value of the mutual inductance coil, L 2 is the equivalent inductance value of the sensitive loop, R 1 is the direct current input resistor, R 2 is the sensitive loop resistor, j is the imaginary unit, ω is the frequency of alternating current, and M is the mutual inductance.
According to an embodiment of the present invention, the relationship between the frequency of the alternating current and the ratio of the estimated value to the inductance value is:
；
Wherein k is a constant which is more than or equal to 100, The estimated value of the sensitive loop resistance is represented, L 1 is the inductance value of the mutual inductance coil, and ω is the frequency of the alternating current.
According to an embodiment of the present invention, the relationship between the inductance of the primary side and the secondary side and the number of turns of the coil is:
；
Wherein L 1 is the inductance value of the transformer, L 2 is the equivalent inductance value of the sensitive loop, N 1 represents the number of turns of the transformer, N 2 represents the number of turns of the sensitive loop, and N 2 =1.
According to an embodiment of the present invention, the relationship between the sensitive loop resistance and the number of turns of the mutual inductor, the direct current input resistance of the mutual inductor and the total input impedance is:
；
Wherein R 2 represents the sensitive loop resistance, Z in represents the total input impedance, R 1 represents the direct current input resistance, and N 1 represents the number of turns of the mutual inductance coil.
According to an embodiment of the present invention, the system further includes a resistance measuring device configured to measure the dc input resistance based on a dc voltage drop method.
As another aspect of the embodiments of the present invention, there is provided a method for measuring resistance, using any of the above systems, adapted to measure a sensitivity loop resistance of a sensitivity loop of a magnetic fluid angular vibration sensor, the method comprising:
Inputting alternating current to the mutual inductance coil to measure the total input impedance of the primary side and the inductance value of the mutual inductance coil, wherein the frequency of the alternating current is larger than the ratio of the estimated value of the sensitive loop resistance to the inductance value; and
The sensitive loop resistance is obtained based on the number of turns of the mutual inductance coil, the direct current input resistance of the mutual inductance coil and the total input impedance.
According to the system for measuring the resistance, disclosed by the embodiment of the invention, the energy coupling of the mutual inductance coil and the sensitive loop of the magnetic fluid angular vibration sensor is realized based on the electromagnetic induction principle. The primary side is electrically connected with the mutual inductance coil to form the primary side, alternating current is introduced into the mutual inductance coil, the primary side and the secondary side comprising a sensitive loop are magnetically coupled through the magnetic core, the frequency of the introduced alternating current is further larger than the ratio of the estimated value of the resistance of the sensitive loop to the inductance value of the mutual inductance coil, the equivalent calculation of the resistance of the sensitive loop of the magnetic fluid angular vibration sensor is realized, the measurement is carried out on the basis of not damaging the internal structure of the magnetic fluid angular vibration sensor, the structural integrity of the sensitive loop of the magnetic fluid angular vibration sensor is ensured, the one-time fixation is realized, the sensitive loop of the magnetic fluid angular vibration sensor is not disassembled, the measurement error caused by introducing other factors is avoided, and a test way is provided for the preliminary performance evaluation of the magnetic fluid angular vibration sensor.
Drawings
FIG. 1 shows a composition diagram of a magnetic fluid angular vibration sensor according to an embodiment of the present invention;
FIG. 2 shows a schematic diagram of measuring the resistance of a sensitive loop of a magnetic fluid angular vibration sensor in the prior art;
FIG. 3 shows a schematic diagram of a system for measuring resistance according to an embodiment of the invention;
FIG. 4 shows a schematic diagram of a primary side according to an embodiment of the invention;
FIG. 5 shows an equivalent circuit diagram of a primary side and a secondary side according to an embodiment of the invention; and
Fig. 6 shows a flow chart of a method of measuring resistance according to an embodiment of the invention.
Reference numerals illustrate:
1-a magnetic fluid angular vibration sensor;
11-a first electrode;
12-a second electrode;
13-conductive pillars;
14-an outer sleeve;
15-an inner sleeve;
16-a conductive fluid;
2-a measuring unit;
21-a constant current source;
22-voltmeter;
23-ammeter;
3-a magnetic core;
4-mutual inductance coil.
Detailed Description
The present invention will be further described in detail below with reference to specific embodiments and with reference to the accompanying drawings, in order to make the objects, technical solutions and advantages of the present invention more apparent.
Fig. 1 shows a composition diagram of a magnetic fluid angular vibration sensor according to an embodiment of the present invention.
According to an embodiment of the present invention, as shown in fig. 1, the magnetic fluid angular vibration sensor 1 includes first and second electrodes 11 and 12, which are opposite to each other, a conductive post 13, an outer sleeve 14, and an inner sleeve 15. The conductive column 13 is electrically connected between the first electrode 11 and the second electrode 12, the outer sleeve 14 is sleeved on the periphery of the conductive column 13 and is positioned between the first electrode 11 and the second electrode 12, and the inner sleeve 15 is sleeved on the inner side of the outer sleeve 14 and forms an annular fluid channel with the outer sleeve 14, the first electrode 11 and the second electrode 12, wherein the annular fluid channel is suitable for filling conductive fluid 16. Wherein the arrow direction in fig. 1 indicates the sensitive axis, i.e. the central axis, of the magnetic fluid angular vibration sensor.
According to an embodiment of the invention, the magnetic fluid angular vibration sensor is a Magneto-hydrodynamic (MHD) based angular vibration sensor.
According to the embodiment of the invention, the outer sleeve and the inner sleeve of the magnetic fluid angular vibration sensor are made of nonconductive insulating materials.
According to an embodiment of the present invention, the magnetic core 3 is made of a soft magnetic material (e.g., a nanocrystalline material).
According to an embodiment of the invention, the core 3 provides a magnetically coupled magnetic field environment for the primary side and the secondary side.
According to the embodiment of the invention, the sensitive loop of the magnetic fluid angular vibration sensor is a conductive loop of the magnetic fluid angular vibration sensor, and the sensitive loop comprises a conductive column 13, a first electrode 11, a second electrode 12 and a closed loop formed by conductive fluid 16. The equivalent resistance of the sensing circuit comprises the resistance of the first electrode 11, the resistance of the second electrode 12, the resistance of the conductive fluid 16, the contact resistance of the conductive fluid 16 and the first electrode 11, the contact resistance of the conductive fluid 16 and the second electrode 12, and the loss resistance of the conductive column 13 (in the case that the conductive column is made of copper, the loss resistance is copper loss resistance).
Fig. 2 shows a schematic diagram of a prior art sensor for measuring angular vibration of a magnetic fluid.
In the process of realizing the invention, the mechanical fixing of the sensitive loop is generally completed at one time in order to ensure the precision of the magnetic fluid angular vibration sensor. In the conventional method for measuring the resistance of the sensitive loop, as shown in fig. 2, when the resistance of the sensitive loop of the magnetic fluid angular vibration sensor is measured, the conductive posts 13 are generally disconnected to respectively measure the resistance values of each component of the sensitive loop, and then the resistance values of each component are added to obtain the resistance of the sensitive loop. The measurement of the sensitive loop resistance is carried out by changing or destroying the internal structure of the magnetic fluid angular vibration sensor, other measurement links and factors are inevitably introduced while the measurement is carried out, the precision of the sensitive loop resistance (the tiny resistance which is generally smaller than 0.5 mohm) of the magnetic fluid angular vibration sensor is reduced, and the variable cannot be controlled.
Fig. 3 shows a schematic diagram of a system for measuring resistance according to an embodiment of the invention.
As an aspect of the embodiments of the present invention, a system for measuring resistance is provided, which is suitable for measuring a sensitive loop resistance of a sensitive loop of a magnetic fluid angular vibration sensor. As shown in fig. 3, the system for measuring resistance includes a magnetic core 3, a mutual inductance coil 4, a measuring unit 2, and a processor. The magnetic core 3 surrounds the periphery of the conductive post 13, and the mutual inductance coil 4 is spirally wound on the magnetic core 3. The measuring unit 2 is electrically connected to a mutual inductance coil 4 to form a primary side, which is magnetically coupled to a secondary side comprising a sensitive loop via a magnetic core 3. The measuring unit 2 is adapted to input an alternating current to the mutual inductor 4 for measuring the total input impedance of the primary side and the inductance value of the mutual inductor 4. Wherein the frequency of the alternating current is larger than the ratio of the estimated value of the sensitive loop resistance to the inductance value. The processor is configured to derive the sensitive loop resistance based on the number of turns of the mutual inductance coil 4, the direct current input resistance and the total input impedance of the mutual inductance coil 4.
In the case of the view of figure 3,For the primary-side current,For the secondary side current, R 1 is a direct current input resistor, R 2 is a sensitive loop resistor, L 1 is an equivalent inductance of a mutual inductance coil, and L 2 is an equivalent inductance of a sensitive loop.
According to the system for measuring the resistance, disclosed by the embodiment of the invention, the energy coupling of the mutual inductance coil and the sensitive loop of the magnetic fluid angular vibration sensor is realized based on the electromagnetic induction principle. The measuring unit 2 is electrically connected with the mutual inductance coil 4 to form a primary side, alternating current is introduced into the mutual inductance coil 4, the primary side and a secondary side comprising a sensitive loop are magnetically coupled through the magnetic core 3, the frequency of the introduced alternating current is further higher than the ratio of the estimated value of the resistance of the sensitive loop to the inductance value of the mutual inductance coil, the equivalent calculation of the resistance of the sensitive loop of the magnetic fluid angular vibration sensor is realized, the measurement is realized on the basis of not damaging the internal structure of the magnetic fluid angular vibration sensor, the integrity of the sensitive loop structure of the magnetic fluid angular vibration sensor is ensured, the one-time fixation is realized, the sensitive loop of the magnetic fluid angular vibration sensor is not disassembled, the measurement error caused by introducing other factors is avoided, and a test way is provided for the primary performance evaluation of the magnetic fluid angular vibration sensor.
According to an embodiment of the invention, the measuring unit comprises an ac bridge.
According to an embodiment of the invention, the magnetic fluid angular vibration sensor may further comprise a housing, wherein the sensitive circuit is located in a containing space formed inside the housing and is connected with the housing.
According to the embodiment of the invention, the shell can play a role in fixing, so that the magnetic fluid angular vibration sensor is stable in structure and plays a role in dust prevention.
According to embodiments of the present invention, the processor may include, but is not limited to, any of a computer, tablet, cell phone, and the like. It will be appreciated that the sensitive loop resistance can also be obtained by means of manual calculation.
According to the embodiment of the invention, the direct current input resistance of the mutual inductance coil is a primary side equivalent loop resistance.
According to an embodiment of the present invention, the system further includes a resistance measuring device configured to measure a dc input resistance of the transformer based on a dc voltage drop method.
In an exemplary embodiment, the resistance measuring device may comprise a high-precision digital multimeter that is used to test the DC input resistance of the transformer by tuning the multimeter to an ohmic range.
In an exemplary embodiment, the inductance value of the mutual inductance coil 4 may be obtained by using an instrument for measuring inductance, capacitance, resistance, and impedance, that is, an LCR tester.
According to an embodiment of the invention, the sensitive loop resistance is of a small resistance, less than 0.5 milliohms (mohm), and the invention researches the sensitive loop resistance in the milliohm range.
In some illustrative embodiments, the estimated value of the sense loop resistance may be 0.5 mohm, 0.4 mohm, 0.3 mohm, 0.2 mohm, 0.1 mohm, or 0.05 mohm.
Fig. 4 shows a schematic diagram of the primary side according to an embodiment of the invention.
In an exemplary embodiment, as shown in fig. 4, the measuring unit 2 is an ac bridge, and an equivalent circuit of the ac bridge includes a constant current source 21, a voltmeter 22, and an ammeter 23. The primary side coil is externally connected with the measuring unit 2 by adopting a four-wire method, wherein the four-wire method adopts a four-terminal test probe (clamp type test probe), and can clamp outgoing wires with a certain diameter range, so that the device has universality. The ac bridge is electrically connected to the mutual inductor 4 to form an electrical circuit.
In such an embodiment, the measurement unit 2 outlet terminal connections are respectively: the H CUR terminal is a current generation terminal, the H VOL terminal is a HIGH (HIGH potential) side voltage detection terminal, and the L VOL terminal: the LOW (LOW potential) side voltage detection terminal, the L CUR terminal is a current detection terminal. The H IN terminal and the L IN terminal are electrically connected to both ends of the mutual inductance coil 4, respectively, to supply alternating current to the mutual inductance coil 4. The measuring unit 2 eliminates the influence of the resistance of the test probe and the lead resistance on the test result by using a four-terminal wiring method, and improves the measuring precision. In addition, in order to effectively suppress mutual interference between the current conductor and the voltage conductor, a shield conductor grounding process may be employed.
According to an embodiment of the invention, the processor is further configured to: and obtaining a primary side loop voltage equation according to the equivalent circuit of the primary side. And obtaining a secondary side loop voltage equation according to the equivalent circuit of the secondary side. And obtaining a total input impedance equation of the total input impedance according to the primary side loop voltage equation and the secondary side loop voltage equation. And obtaining the relation between the sensitive loop resistance and the turns of the mutual inductance coil, and the relation between the direct current input resistance and the total input impedance of the mutual inductance coil according to the total input impedance equation, the relation between the frequency of alternating current and the ratio of the estimated value to the inductance value and the relation between the primary side inductance and the secondary side inductance and the turns of the coil.
According to the embodiment of the invention, the mutual inductance coil 4 is connected with the measuring unit 2, and after alternating current with constant frequency is introduced into the mutual inductance coil, an induced magnetic field is generated by coupling at the mutual inductance coil, and then induced electromotive force is generated at one side of a sensitive loop.
According to the embodiment of the invention, the magnetic core 3 and the mutual inductance coil 4 can be introduced into the magnetic core and the mutual inductance coil with strong coupling when measuring the sensitive loop resistance, and the magnetic core and the mutual inductance coil of the magnetic fluid angular vibration sensor can be adopted.
Fig. 5 shows an equivalent circuit diagram of the primary side and the secondary side according to an embodiment of the present invention.
As shown in figure 5 of the drawings,For the supply voltage provided by the measuring unit,For the primary-side current,For the secondary side current, R 1 is a direct current input resistor, R 2 is a sensitive loop resistor,Is the voltage at the two ends of the mutual inductance coil,Is the induced electromotive force generated on one side of the sensitive loop.
According to an embodiment of the present invention, as shown in fig. 5, the sensitive loop of the magnetic fluid angular vibration sensor is a secondary side, and since the sensitive loop has only one turn of winding, the turn ratio of the primary side to the secondary side is n:1, wherein n is a positive integer, and n is the number of turns of the primary side coil (i.e., the number of turns of the mutual inductance coil).
According to an embodiment of the present invention, the primary side loop voltage equation can be expressed as follows:
（1）。
The secondary side loop voltage equation can be expressed as:
（2）。
Wherein, L 1 is the inductance value of the mutual inductance coil, L 2 is the equivalent inductance value of the sensitive loop, R 1 is the direct current input resistor, R 2 is the sensitive loop resistor, j is the imaginary unit, ω is the frequency of the alternating current, For the primary-side current,Is the current of the secondary side of the current transformer,The supply voltage provided for the measuring unit, M, is the mutual inductance.
According to an embodiment of the present invention, a total input impedance equation of a total input impedance is obtained according to a primary side loop voltage equation and a secondary side loop voltage equation, including:
obtaining a secondary side current equation according to a secondary side loop voltage equation:
（3）。
obtaining a power supply voltage equation according to the secondary side current equation:
（4）。
According to the relation between the power supply voltage and the primary side current and the total input impedance, a total input impedance equation is obtained:
（5）。
Wherein Z in is total input impedance, L 1 is inductance value of a mutual inductance coil, L 2 is equivalent inductance value of a sensitive loop, R 1 is direct current input resistance, R 2 is sensitive loop resistance, j is imaginary unit, ω is frequency of alternating current, For the primary-side current,Is the current of the secondary side of the current transformer,The supply voltage provided for the measuring unit, M, is the mutual inductance.
In accordance with an embodiment of the present invention, Z f1 is the secondary-to-primary reflected impedance, and reflected impedance Z f1 includes reflected resistance Z fR and reflected reactance Z fL, which have a reflected reactance Z fL that is opposite to the secondary reactance. The reflected impedance Z f1 can be expressed as:
（6）。
Wherein L 2 is the equivalent inductance value of the sensitive loop, R 2 is the resistance of the sensitive loop, j is an imaginary unit, ω is the frequency of alternating current, and M is the mutual inductance.
According to an embodiment of the present invention, after obtaining a total input impedance equation of the total input impedance according to the primary side loop voltage equation and the secondary side loop voltage equation, the method further includes: according to the relation between the mutual inductance and the primary side inductance value and the equivalent inductance value of the sensitive loop, simplifying the total input impedance equation, comprising:
Because the mutual inductance coil is wound on the magnetic core made of the soft magnetic material, the magnetic flux coupling degree between the mutual inductance coil and the sensitive loop is high, and the mutual inductance coil and the sensitive loop can be regarded as full coupling, therefore, the relationship between the mutual inductance and the primary inductance value (namely the inductance value of the mutual inductance coil) and the secondary inductance value (namely the equivalent inductance value of the sensitive loop) can be expressed as:
（7）。
Wherein, L 1 is the inductance value of the mutual inductance coil, L 2 is the equivalent inductance value of the sensitive loop, and M is the mutual inductance.
Further, according to the relationship between the mutual inductance and the primary and secondary inductance values, the total input impedance equation can be reduced to:
（8）。
wherein, L 1 is the inductance value of the mutual inductance coil, L 2 is the equivalent inductance value of the sensitive loop, R 1 is the direct current input resistor, R 2 is the sensitive loop resistor, j is the imaginary unit, ω is the frequency of alternating current, and M is the mutual inductance.
According to an embodiment of the invention, the relation between the frequency of the alternating current and the ratio of the estimated value to the inductance value is:
（9）。
Wherein k is a constant which is more than or equal to 100, The estimated value of the sensitive loop resistance is represented, L 1 is the inductance value of the mutual inductance coil, and ω is the frequency of the alternating current.
In an exemplary embodiment, the value of k may include any of 100, 200, 300, 500, 1000, 2000, 10000, etc.
Further, the total input impedance equation may be further modified to:
（10）。
Wherein, L 1 is the inductance value of the mutual inductance coil, L 2 is the equivalent inductance value of the sensitive loop, R 1 is the direct current input resistor, and R 2 is the sensitive loop resistor; j is an imaginary unit and ω is the frequency of the alternating current.
Due toThe total input impedance equation is:
（11）。
wherein L 1 is the inductance value of the mutual inductance coil, L 2 is the equivalent inductance value of the sensitive loop, R 1 is the direct current input resistor, and R 2 is the sensitive loop resistor
According to an embodiment of the present invention, the relationship between primary and secondary side inductances and the number of coil turns is:
（12）。
Wherein, L 1 is the inductance value of the mutual inductance coil, L 2 is the equivalent inductance value of the sensitive loop, N 1 represents the number of turns of the mutual inductance coil, and N 2 represents the number of turns of the sensitive loop.
Then the total input impedance equation is:
（13）。
Where R 2 represents the sensitive loop resistance, Z in represents the total input impedance, R 1 represents the direct current input resistance, N 1 represents the number of turns of the transformer, N 2 represents the number of turns equivalent to the sensitive loop, and N 2 = 1.
According to the embodiment of the invention, the relation between the sensitive loop resistance and the number of turns of the mutual inductance coil, the direct current input resistance and the total input impedance of the mutual inductance coil is as follows:
（14）。
Wherein R 2 represents the sensitive loop resistance, Z in represents the total input impedance, R 1 represents the direct current input resistance, and N 1 represents the number of turns of the mutual inductance coil.
Fig. 6 shows a flow chart of a method of measuring resistance according to an embodiment of the invention.
As another aspect of the embodiment of the present invention, there is provided a method for measuring resistance, using any of the above systems, adapted to measure a sensitive loop resistance of a sensitive loop of a magnetic fluid angular vibration sensor, as shown in fig. 6, the method for measuring resistance including operations S510-S520.
In operation S510, an alternating current is input to the transformer to measure a total input impedance of the primary side and an inductance value of the transformer, wherein a frequency of the alternating current is greater than a ratio of an estimated value of the sensitive loop resistance to the inductance value of the transformer.
In operation S520, a sensitive loop resistance is obtained based on the number of turns of the mutual inductance coil, the direct current input resistance and the total input impedance of the mutual inductance coil.
According to the method for measuring the resistance, the current is input to the mutual inductance coil, the equivalent calculation can be carried out through the reflection impedance based on the transformer coupling principle, and the measurement of the micro resistance is realized on the basis of not damaging the original structure of the magnetic fluid angular vibration sensor. The sensitive loop resistance obtained by the method for measuring the resistance can be used as the accuracy evaluation of the magnetic fluid micro magnetic fluid angular vibration sensor to provide an accurate and reliable test result, and the technical problems that in the conventional method for measuring the sensitive loop resistance of the magnetic fluid angular vibration sensor, the sensitive loop resistance is required to be measured by changing or destroying structural measurement, other measuring links and factors are introduced, the accuracy of 0.5mohm micro resistance test is reduced, and variables cannot be controlled are solved.
The foregoing description of the embodiments has been provided for the purpose of illustrating the general principles of the invention, and is not meant to limit the invention thereto, but to limit the invention thereto, and any modifications, equivalents, improvements and equivalents thereof may be made without departing from the spirit and principles of the invention.
Claims (5)
1. A system for measuring the sensitive loop resistance of a magnetic fluid angular vibration sensor is characterized in that,
The magnetic fluid angular vibration sensor includes:
a first electrode and a second electrode disposed opposite to each other;
A conductive post electrically connected between the first electrode and the second electrode;
The outer sleeve is sleeved on the periphery of the conductive column and is positioned between the first electrode and the second electrode; and
An inner sleeve sleeved on the inner side of the outer sleeve and forming a fluid channel with the outer sleeve, the first electrode and the second electrode, wherein the fluid channel is suitable for filling conductive fluid;
The system comprises:
a magnetic core surrounding the periphery of the conductive post;
a mutual inductance coil wound on the magnetic core;
A measuring unit electrically connected with the mutual inductance coil to form a primary side, wherein the primary side and a secondary side comprising the sensitive loop are magnetically coupled through the magnetic core, and the measuring unit is suitable for inputting alternating current to the mutual inductance coil to measure the total input impedance of the primary side and the inductance value of the mutual inductance coil, and the frequency of the alternating current is larger than the ratio of the estimated value of the sensitive loop resistance to the inductance value; and
A processor configured to derive the sensitive loop resistance based on a number of turns of the mutual inductance coil, a direct current input resistance of the mutual inductance coil, and the total input impedance;
The processor is further configured to:
obtaining a primary side loop voltage equation according to the primary side equivalent circuit;
obtaining a secondary side loop voltage equation according to the equivalent circuit of the secondary side;
obtaining a total input impedance equation of the total input impedance according to the primary side loop voltage equation and the secondary side loop voltage equation; and
Obtaining the relation between the sensitive loop resistance and the turns of the mutual inductance coil, the direct current input resistance of the mutual inductance coil and the total input impedance according to the total input impedance equation, the relation between the frequency of the alternating current and the ratio of the estimated value to the inductance value and the relation between the primary side inductance and the secondary side inductance and the turns of the coil;
the primary side loop voltage equation is:
；
the secondary side loop voltage equation is:
；
Wherein, L 1 is the inductance value of the mutual inductance coil, L 2 is the equivalent inductance value of the sensitive loop, R 1 is the direct current input resistor, R 2 is the sensitive loop resistor, j is the imaginary unit, ω is the frequency of the alternating current, For the primary-side current,The current is secondary side current, M is mutual inductance;
The step of obtaining a total input impedance equation of the total input impedance according to the primary side loop voltage equation and the secondary side loop voltage equation, including:
and obtaining a secondary side current equation according to the secondary side loop voltage equation:
；
obtaining a power supply voltage equation according to the secondary side current equation:
；
Wherein, A power supply voltage provided for the measurement unit;
According to the relation between the power supply voltage and the primary side current and the total input impedance, a total input impedance equation is obtained:
；
Wherein Z in is the total input impedance;
the relation between the inductance of the primary side and the secondary side and the number of turns of the coil is as follows:
；
Wherein N 1 represents the number of turns of the mutual inductance coil, N 2 represents the number of turns of the sensitive loop, and N 2 =1;
The relation among the number of turns of the sensitive loop resistance and the mutual inductance coil, the direct current input resistance of the mutual inductance coil and the total input impedance is as follows:
。
2. The system of claim 1, wherein the obtaining the total input impedance equation of the total input impedance from the primary side loop voltage equation and the secondary side loop voltage equation further comprises: simplifying the total input impedance equation according to the relation between the inductance value of the mutual inductance and the mutual inductance coil and the equivalent inductance value of the sensitive loop, comprising:
the relation between the mutual inductance and the inductance value of the mutual inductance coil and the equivalent inductance value of the sensitive loop is as follows:
；
simplifying the total input impedance equation into:
。
3. The system of claim 2, wherein the relationship between the frequency of the alternating current and the ratio of the estimated value to the inductance value is:
；
Wherein k is a constant which is more than or equal to 100, Representing an estimate of the resistance of the sensitive loop.
4. The system of claim 1, further comprising:
and the resistance measuring device is configured to measure the direct current input resistance based on a direct current voltage drop method.
5. A method of measuring resistance, using the system of any one of claims 1-4, adapted to measure the sensitivity loop resistance of a sensitivity loop of a magnetic fluid angular vibration sensor, the method comprising:
Inputting alternating current to the mutual inductance coil to measure the total input impedance of the primary side and the inductance value of the mutual inductance coil, wherein the frequency of the alternating current is larger than the ratio of the estimated value of the sensitive loop resistance to the inductance value; and
And obtaining the sensitive loop resistance based on the turns of the mutual inductance coil, the direct current input resistance of the mutual inductance coil and the total input impedance.
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| CN111257609A (en) * | 2020-01-09 | 2020-06-09 | 平高集团有限公司 | Tunneling magnetoresistance-based current sensor and parameter determination method thereof |
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| CN111257609A (en) * | 2020-01-09 | 2020-06-09 | 平高集团有限公司 | Tunneling magnetoresistance-based current sensor and parameter determination method thereof |
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