CN110261732A - A kind of three phase line measurement method of parameters based on current field - Google Patents
A kind of three phase line measurement method of parameters based on current field Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R15/00—Details of measuring arrangements of the types provided for in groups G01R17/00 - G01R29/00, G01R33/00 - G01R33/26 or G01R35/00
- G01R15/14—Adaptations providing voltage or current isolation, e.g. for high-voltage or high-current networks
- G01R15/20—Adaptations providing voltage or current isolation, e.g. for high-voltage or high-current networks using galvano-magnetic devices, e.g. Hall-effect devices, i.e. measuring a magnetic field via the interaction between a current and a magnetic field, e.g. magneto resistive or Hall effect devices
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/08—Locating faults in cables, transmission lines, or networks
- G01R31/081—Locating faults in cables, transmission lines, or networks according to type of conductors
- G01R31/085—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution lines, e.g. overhead
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/02—Measuring direction or magnitude of magnetic fields or magnetic flux
- G01R33/06—Measuring direction or magnitude of magnetic fields or magnetic flux using galvano-magnetic devices
- G01R33/09—Magnetoresistive devices
- G01R33/098—Magnetoresistive devices comprising tunnel junctions, e.g. tunnel magnetoresistance sensors
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/02—Measuring direction or magnitude of magnetic fields or magnetic flux
- G01R33/10—Plotting field distribution ; Measuring field distribution
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N3/00—Computing arrangements based on biological models
- G06N3/004—Artificial life, i.e. computing arrangements simulating life
- G06N3/006—Artificial life, i.e. computing arrangements simulating life based on simulated virtual individual or collective life forms, e.g. social simulations or particle swarm optimisation [PSO]
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N3/00—Computing arrangements based on biological models
- G06N3/12—Computing arrangements based on biological models using genetic models
- G06N3/126—Evolutionary algorithms, e.g. genetic algorithms or genetic programming
Abstract
Disclose a kind of three phase line measurement method of parameters based on current field.The described method includes: arrange multiple magnetic field sensors, the magnetic field strength measured value at position to obtain the multiple magnetic field sensor；The magnetic field strength theoretical value at the position of the multiple magnetic field sensor is obtained according to Ampere circuit law, wherein the magnetic field strength theoretical value is related to the electric current of the three phase line and position；According to the magnetic field strength measured value and theoretical value at the multiple magnetic field sensor position, majorized function is constructed, wherein the majorized function is related to the position of the current amplitude of the transmission line of electricity, phase and the three phase line；And heuristic value is used to solve the majorized function to obtain electric current and the position of the three phase line.
Description
Technical field
The invention belongs to intelligent algorithm fields, and in particular to a kind of three phase line parameter (electricity based on current field
Stream and position) measurement method.
Background technique
In recent years, the demand to electric energy is continuously improved, the scale of transmission system with the continuous development of economic society
Constantly expand.As the chief component of transmission system, overhead transmission line is not only in large scale, but also widely distributed, institute
It is changeable to locate landform, natural environment is complicated, is easy to break down due to lightning stroke flashover, material aging, the factors such as artificial destruction, influence
The normal operation of electric system.Therefore, the working condition of overhead transmission line is monitored and is of great significance.Overhead power transmission
The case where route often occurs line temperature raising in the case where high current is run, and hardness reduces, and length increases, further increases
The big arc sag of itself, reduces itself and the distance between ground vegetation and building, in fact it could happen that the failures such as short circuit, harm electricity
The safety and normal operation of Force system.Therefore there is important meaning to the monitoring of the size of current flowed through in overhead transmission line
Justice.
Currently, to transmission line of electricity current measurement mainly using current transformer or shunt resistance measurement by the way of.Electric current is mutual
The problem of that there is device volumes is larger for sensor, higher cost, and it is suitable only for the measurement of low frequency or power frequency, in high frequency measurement
The case where often will appear saturation, it is difficult to cope with failure present in electric system and transient problems.The mode of shunt resistance measurement
The energy of consumption is larger, it is difficult to and it realizes electric insulation, and the personal safety of staff or service personnel can be constituted and be endangered, because
This is badly in need of new transmission line parameter measurement method.
Summary of the invention
The invention proposes a kind of three phase line measurement method of parameters based on magnetic field, this method use tunnel magneto
(TMR) electric current and location parameter of inverting transmission line of electricity are carried out in the magnetic field generated around sensor measurement three phase line.
Three phase line measurement method of parameters proposed by the present invention based on current field consists of two parts: magnetic field is surveyed
Part is calculated in amount part and conducting wire parametric inversion.The magnetic field sensor of magnetic-field measurement part uses two-dimensional TMR tunnel magneto magnetic field
Sensor is preferably arranged in below transmission line of electricity in a manner of linear array, the magnetic field strength that acquisition current in wire generates.Conducting wire
Parametric inversion calculates part and uses optimization algorithm, in known magnetic field sensor array location and directioin parameter and input magnetic-field measurement
In the case where value, electric current and the position of three phase transmission line line conductor, the result obtained by this method are obtained by optimization algorithm
Precision with higher.
According to an aspect of the present invention, the three phase line measurement method of parameters based on current field includes: arrangement
Multiple magnetic field sensors, the magnetic field strength measured value at position to obtain the multiple magnetic field sensor；According to Ampere ring road
Law obtains the magnetic field strength theoretical value at the position of the multiple magnetic field sensor, wherein the magnetic field strength theoretical value and institute
The electric current for stating three phase line is related to position；According to the magnetic field strength measured value at the position of the multiple magnetic field sensor
And theoretical value, majorized function is constructed, wherein current amplitude, phase and the institute of the majorized function and the three phase line
The position for stating three phase line is related；And heuristic value is used to solve the majorized function to obtain the three-phase
The electric current of transmission line of electricity and position.
Preferably, the multiple magnetic field sensor is TMR tunnel magneto sensor.
Preferably, the method also includes: by the multiple magnetic field sensor perpendicular to the flat of the transmission line of electricity
Position of the projected position as the multiple magnetic field sensor on face.
Preferably, the magnetic field strength theoretical value at the position of the multiple magnetic field sensor is expressed as followsin:
Wherein, HyAnd HzCoordinate (the y being illustrated respectively in yz planem, zm) magnetic field on the direction y and the direction z is strong
Degree, yz plane is the plane perpendicular to the three phase line, perpendicular to one another on the direction y and the direction z, and Ii, i=1,2,
3 be the electric current of three phase line, yi, zi, i=1,2,3 be respectively coordinate value of the three phase line in yz plane.
Preferably, the amplitude of the three-phase current is Imax, phase difference is 120 °, and the majorized function is represented as:
Wherein HKy, zIndicate the magnetic field strength theoretical value at the position of k-th of magnetic field sensor, HMky, zIndicate k-th of magnetic field
The strong measured value in magnetic field at the position of sensor, φAIndicate the initial phase of the phase transmission line of electricity in three phase line, yA、
yB、yCAnd zA、zB、zCRespectively indicate coordinate value of the three phase line in y-axis and z-axis.
Preferably, the method also includes carrying out regularization to the majorized function, the majorized function after regularization is by table
It is shown as:
Wherein, α represents regularization coefficient.
Preferably, when the multiple magnetic field sensor is arranged in ground, the three phase line is apart from ground level
Respectively 28.66m and 38.66m, and the distance of three phase line in the horizontal direction be 7.1m in the case where, α 0.1.
Preferably, the heuristic value is Genetic Algorithms.
Preferably, the heuristic value is Genetic Algorithms, and initial population quantity is set as 200, is intersected
Probability and mutation probability are 0.8.
Preferably, the heuristic value is particle swarm algorithm PSO.
With reference to attached drawing, by the way that the description of exemplary embodiment, other features of the invention be will be apparent below.
Detailed description of the invention
Fig. 1 is 500kV transmission line structure schematic diagram；
Fig. 2 is the diagram of the calculated result of genetic algorithm；And
Fig. 3 is the diagram of the calculated result of particle swarm algorithm.
Specific embodiment
Below in conjunction with attached drawing, technical solution of the present invention is clearly and completely described.It should be appreciated that described
Embodiment is only exemplary, and not to limit the invention to following embodiment.
Existed for existing based on the power system transmission line current measuring method of shunt resistance or current sensor
The problem of, it is such as difficult to realize electric insulation, measuring device volume is larger, and measuring range and the relatively narrow difficulty of frequency band, the present invention mention
A kind of new three phase line measurement method of parameters based on magnetic field sensor measurement is gone out.Pass through the cloth around transmission line of electricity
Magnetic field sensor is set, the magnetic field strength of magnetic field sensor measurement is collected, is finally inversed by the electric current and location parameter of transmission line of electricity, is realized
High-precision, broadband measurement to power system transmission line electric current.
Specifically, the present invention is opposite with current in wire size and transmission line of electricity using transmission line of electricity ambient magnetic field strength size
The related feature in relative position between magnetic field sensor, the magnetic field strength obtained using array of magnetic field measurement are based on
Optimization algorithm instead releases the size of current of the transmission line of electricity as magnetic field sources and the position of transmission line of electricity.
The shunt resistance or electric current for being different from transmission route survey in traditional electric system according to the method for the present invention are mutual
Sensor method is finally inversed by the position of magnetic field sources and the size of electric current using the magnetic field value that array of magnetic field measures.Utilize magnetic
Relationship between the field strength values and electric current of field sensor array measurement realizes the transmission line parameter based on magnetic-field measurement
Measurement and inverting.
In addition, realizing the flexibility of measurement frequency band, it is sufficient to answer by using the TMR tunnel magneto sensor of high frequency band
To the direct current in electric system, exchange, the multiple measurement requirement of transient state.With good time-frequency domain measurement characteristic.
In addition, the problem of having used the conducting wire parameter inversion method based on optimization algorithm, current in wire and position reconstructed
It is converted into optimization problem, and is solved using optimization algorithm, precision with higher.Final realize is measured based on current field
Transmission line parameter inversion method, realize and can be applied to the non-contacting transmission line of electricity ginseng of high range broadband in electric system
Number measurement.
Hereinafter, carrying out detailed complete description to the present invention with reference to attached drawing.
Firstly, it illustrates the structural schematic diagram of three phase line, the voltage of the transmission line of electricity for example may be used with reference to Fig. 1
To be 20kV, 200kV, 500kV or any other value, and transmission line of electricity is the three phase line using tower structure.
In Fig. 1, height of the three phase line apart from bottom surface is respectively 28.66m and 38.66m, and three phase line is in level
Distance on direction is 7.1m.
Yz rectangular coordinate system as shown in Figure 1 is established, wherein yz plane is perpendicular to the plane of three phase line, and
And the direction y is horizontally oriented, the direction z is vertical direction, and coordinate origin is arranged on ground, and makes three phase line phase
It is symmetrical for z-axis.
In actual electric system, transmission line of electricity arc sag can occur due to the effect of gravity.However compared to entire line
For road, the amount of arc sag is smaller (4.85m/380m), therefore in the present example embodiment, and three phase line is considered as directly leading
Line.
In addition, in the present example embodiment, three phase line is considered as the conducting wire of endless.
In method according to the present exemplary embodiment, according to Ampere circuit law, three phase line week is calculated
The distribution of magnetic field strength at each point is enclosed, shown in right views as shown in figure 1.That is institute, first acquisition three phase line
The theoretical value of magnetic field strength at surrounding each point.
In the present example embodiment, the position (measurement point) that magnetic field sensor is arranged around three phase line is obtained
The theoretical value of the magnetic field strength at place, the theoretical value are related to the electric current of three phase line and position.
Specifically, according to Ampere circuit law, three phase line peripheral location (ym, zm) at magnetic field strength can be calculated
It is as follows:
Wherein IiFor the electric current of three phase line, yi, ziRespectively coordinate of the three phase line in y-axis and z-axis
It is worth, wherein i=1,2,3.
In addition, passing through magnetic field sensor measurement position (ym, zm) at magnetic field strength.In the present example embodiment, magnetic field
Sensor can for example select film (CPP) magnetoresistive sensor, magnetoresistive sensitivity device, eddy current sensor or other kinds of
Magnetic field sensor.Preferably, in the present example embodiment, magnetic field sensor uses TMR tunnel magneto sensor, the sensor
Measurement frequency band it is flexible, cope with direct current in electric system, exchange, the multiple measurement requirement of transient state.
According to one embodiment, consider for measurement point to be arranged in ground level (i.e. z=0), y-axis coordinate from -10m to
10m is spaced 0.5m.Primary field intensity data is acquired every 1ms, and collects all data in 0.1s and is calculated.In order to
Needs in closing to reality application are superimposed 0.5% random white noise in measurement data.
Although in the present example embodiment, measurement point is arranged in ground level, but the invention is not restricted to this, and
It is that measurement point can be arranged in any other height.In addition, although in the above description, sensor is described as with straight
The mode of linear array is arranged in the TMR tunnel magneto sensor below transmission line of electricity, but sensor can not use line array
The form of column, but the form of dot matrix can be used.In such a case, it is possible to by sensor perpendicular to transmission line of electricity
Position of the projected position as magnetic field sensor in plane, that is to say, that the coordinate other than yz coordinate can be ignored.
Specifically, for example, measurement point can be arranged on z=10cm, the position of 20cm or other numerical value in a z-direction
Place, this is equally applicable for the direction y and perpendicular to the arrangement on the direction (direction x) of yz plane.It should be noted that measurement position
Arrangement in the x direction will not have an impact measurement result, that is to say, that in the present example embodiment, only y and the side z
Upward position can have an impact magnetic field strength.
In order to reduce the complex nature of the problem, the quantity of the parameter of consideration is reduced, introduces constraint condition, it is assumed that three-phase current
Amplitude is equal, is Imax, phase respectively differs 120 °.It then can be with to the solution of the three phase line position of Location-Unknown and electric current
It is converted into following optimization problem:
Wherein HKy, zIndicate the magnetic field strength under parameter model effect according to calculated k-th of the measurement point of formula (1),
HMky, zIndicate the magnetic field strength true measurement measured in k-th of measurement point by magnetic field sensor.In addition, in formula (2),
yA、yB、yCAnd zA、zB、zCCoordinate value of the three phase line (A, B and C phase transmission line of electricity) in y-axis and z-axis is respectively indicated, and
And φAIndicate the initial phase of the phase transmission line of electricity in A, B and C three phase line.
It can be seen from (2) in the optimization problem, the nonlinear degree of phase is larger, may make computational solution precision
It is deteriorated.Therefore consider to carry out Regularization to phase, convert following formula for above-mentioned optimization problem.
Wherein min indicates to solve minimum value.α represents regularization coefficient, and result can be finely adjusted by being sized.When
When α is too small, regularization effect is unobvious, since the presence of noise makes result larger offset occur relative to optimal solution；When it
It is bad to the effect of measured value fitting when excessive.Therefore the selection of α can be chosen by the method for verifying collection.In Fig. 1 institute
In the case where showing, by emulation experiment, α can be selected as 0.1.
After converting optimization problem for the problem of electric current for solving three phase line and position, a variety of optimizations can be used
Algorithm solves.Traditional optimization method (interior point method) is selected first.Although traditional optimization algorithm solve it is time-consuming short, calculation amount compared with
It is small, but need artificial setting initial value.Deviate farther out it can be found that being chosen when initial value with optimal solution in simulation process
When, algorithm is no longer restrained.In view of the situation that size of current in this problem and lead location are unknown, initial value is set as
A certain range of random number.Emulation experiment 50 times, discovery shares 19 times and obtains the result close to optimal solution.At remaining 31 times
In, the deviation of calculated result and optimal solution is larger, and the characteristics of dissipating is presented.Therefore, it can be seen that being asked using traditional optimization
When solving this problem, the different of initial value are chosen so that unstable situation occurs in result, are dissipated sometimes, are fallen into part sometimes
Minimum.And in order to guarantee the universality of algorithm, the selection of initial value must have certain randomness, the lance between both
Shield gives this problem of traditional Optimization Solution to bring bigger difficulty.Therefore compared to traditional optimization algorithm, certain randomness is carried
Heuritic approach is better choice.
Heuritic approach (heuristic algorithm) is proposed relative to optimization algorithm.At this stage, heuristic
Algorithm based on imitative nature body algorithm, mainly have simulated annealing (SA), genetic algorithm (GA), list search algorithms (ST),
Evolutional programming (EP), evolution strategy (ES), ant group algorithm (ACA), artificial neural network (ANN) etc..
Genetic algorithm (GA) is that Holland professor proposes in phase early 1970s and it is made to grow up, and is utilized
The evolutionary process rule of the Nature " survival of the fittest ", introduces chromosome, gene, the concepts solving optimization problem such as fitness.It adjusts
Whole algorithm parameter, in different initial population quantity, crossover probability is calculated under mutation probability, is solved using this method excellent
Change problem (3), the location error for finally obtaining result can control in 0.29m, and current error is below 3%.For such as Fig. 1 institute
For the example shown, initial population quantity from 100 increase to 500 when, there is no bright for position computational accuracy and electric current computational accuracy
It is aobvious to improve, illustrate that initial population quantity is set as 100 and also can satisfy calculating needs.However, with crossover probability and mutation probability
Increase, position computational accuracy and electric current computational accuracy be continuously improved, illustrate the increase with crossover probability and mutation probability,
During iteration, different from previous generation population individual increases, the appearance of new individual allow algorithm preferably
Locally optimal solution is jumped out, the result closer to globally optimal solution is obtained.However, it was also found that with initial during emulation
The increase of population quantity, crossover probability and mutation probability, calculating time also constantly increase.Therefore, it needs in practical applications simultaneous
It cares for accuracy and calculates the requirement of time.In emulation experiment, does not consider time-consuming influence temporarily, finally algorithm parameter is arranged
It is still 10000 times for maximum number of iterations, initial population quantity is default value 200, and crossover probability is arranged and mutation probability is
0.8, obtaining inversion result location error is 0.33m, and current amplitude error is 3.8%.As a result such as Fig. 2.As can be seen that reaching
Preferable computational accuracy requirement.
Other than genetic algorithm, other heuristic values, such as particle swarm algorithm (PSO) also can be used.Make
The result such as Fig. 3 obtained with particle swarm algorithm.As can be seen that since particle swarm algorithm is more simple relative to genetic algorithm, no
It is related to complicated intersection and mutation process, therefore the accuracy of calculated result is not so good as genetic algorithm, but it is shorter to calculate the time.In reality
In the application of border, it may be considered that the needs of computational accuracy and time, the algorithm that reasonable selection uses.
Transmission line parameter measurement method proposed by the present invention based on current field, the sky measured according to magnetic field sensor
Between in magnetic field strength at some location points, be finally inversed by position and the size of current of magnetic field sources (i.e. transmission line of electricity), use optimization
Algorithm, obtain higher inversion accuracy, while there is good efficiency and flexibility, be power system transmission line electric current
Measurement provides a kind of new solution.
Although the present invention is described in detail referring to the foregoing embodiments, for those skilled in the art,
It can still modify to technical solution documented by previous embodiment, or be equal to part of technical characteristic
Replacement, all within the spirits and principles of the present invention, any modification, equivalent replacement, improvement and so on should be included in this hair
Within bright protection scope.
Claims (10)
1. a kind of three phase line measurement method of parameters based on current field, which is characterized in that the described method includes:
Arrange multiple magnetic field sensors, the magnetic field strength measured value at position to obtain the multiple magnetic field sensor；
The magnetic field strength theoretical value at the position of the multiple magnetic field sensor is obtained according to Ampere circuit law, wherein the magnetic
Field intensity theoretical value is related to the electric current of the three phase line and position；
According to the magnetic field strength measured value and theoretical value at the position of the multiple magnetic field sensor, majorized function is constructed, wherein
The majorized function is related to the position of the current amplitude of the transmission line of electricity, phase and the three phase line；And
Heuristic value is used to solve the majorized function to obtain electric current and the position of the three phase line.
2. the three phase line measurement method of parameters according to claim 1 based on current field, which is characterized in that institute
Stating multiple magnetic field sensors is TMR tunnel magneto sensor.
3. the three phase line measurement method of parameters according to claim 1 based on current field, which is characterized in that also
It include: using the projected position on the plane perpendicular to the transmission line of electricity of the multiple magnetic field sensor as the multiple
The position of magnetic field sensor.
4. the three phase line measurement method of parameters according to claim 3 based on current field, which is characterized in that institute
The magnetic field strength theoretical value at the position of multiple magnetic field sensors is stated to be expressed as followsin:
Wherein, HyAnd HzCoordinate (the y being illustrated respectively in yz planem, zm) it is in the magnetic field strength on the direction y and the direction z, yz is flat
Face is the plane perpendicular to the three phase line, perpendicular to one another on the direction y and the direction z, and Ii, i=1,2,3 be three-phase
The electric current of transmission line of electricity, yi, zi, i=1,2,3 be respectively coordinate value of the three phase line in yz plane.
5. the three phase line measurement method of parameters according to claim 4 based on current field, which is characterized in that institute
The amplitude for stating three-phase current is Imax, phase difference is 120 °, and the majorized function is represented as:
Wherein HKy, zIndicate the magnetic field strength theoretical value at the position of k-th of magnetic field sensor, HMky, zIndicate k-th of magnetic field sensing
The strong measured value in magnetic field at the position of device, φAIndicate the initial phase of the phase transmission line of electricity in three phase line, yA、yB、
yCAnd zA、zB、zCRespectively indicate coordinate value of the three phase line in y-axis and z-axis.
6. the three phase line measurement method of parameters according to claim 5 based on current field, which is characterized in that institute
The method of stating further includes carrying out regularization to the majorized function, and the majorized function after regularization is represented as:
Wherein, α represents regularization coefficient.
7. the three phase line measurement method of parameters according to claim 6 based on current field, which is characterized in that when
The multiple magnetic field sensor is arranged in ground, the three phase line apart from ground level be respectively 28.66m and
38.66m, and the distance of three phase line in the horizontal direction be 7.1m in the case where, α 0.1.
8. the three phase line measurement method of parameters according to claim 1 based on current field, which is characterized in that institute
Stating heuristic value is Genetic Algorithms.
9. the three phase line measurement method of parameters according to claim 7 based on current field, which is characterized in that institute
Stating heuristic value is Genetic Algorithms, and initial population quantity is set as 200, and crossover probability and mutation probability are
0.8。
10. the three phase line measurement method of parameters according to claim 1 based on current field, which is characterized in that
The heuristic value is particle swarm algorithm PSO.
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| CN109917221B (en) * | 2017-12-05 | 2023-01-24 | 香港大学 | Apparatus and method for fault classification of three-phase distribution cable |
| CN112986648A (en) * | 2019-12-12 | 2021-06-18 | 嘉兴博感科技有限公司 | Long straight conductor current measuring method and system |
| CN111551776A (en) * | 2020-06-29 | 2020-08-18 | 南方电网数字电网研究院有限公司 | Particle swarm algorithm-based bi-pass conductor current measurement method and device |
| CN111551776B (en) * | 2020-06-29 | 2021-04-27 | 南方电网数字电网研究院有限公司 | Particle swarm algorithm-based bi-pass conductor current measurement method and device |
| CN113609750A (en) * | 2021-06-24 | 2021-11-05 | 贵州电网有限责任公司 | Current calculation method based on magnetic field sensing signal machine learning |
| CN113609750B (en) * | 2021-06-24 | 2023-11-24 | 贵州电网有限责任公司 | Current calculation method based on magnetic field sensing signal machine learning |
| CN114034907A (en) * | 2021-11-15 | 2022-02-11 | 中国电力科学研究院有限公司 | Method and device for measuring current by current sensor based on annular tunnel magnetoresistive array |
| CN114034907B (en) * | 2021-11-15 | 2024-03-15 | 中国电力科学研究院有限公司 | Method and device for measuring current by current sensor based on annular tunnel magnetic resistance array |
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Application publication date: 20190920 |