CN110045003A - A kind of Uniform ity Design Method being mixed detection excitation parameters optimization for electromagnetism - Google Patents

A kind of Uniform ity Design Method being mixed detection excitation parameters optimization for electromagnetism Download PDF

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CN110045003A
CN110045003A CN201910336814.5A CN201910336814A CN110045003A CN 110045003 A CN110045003 A CN 110045003A CN 201910336814 A CN201910336814 A CN 201910336814A CN 110045003 A CN110045003 A CN 110045003A
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frequency
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electromagnetism
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焦敬品
常予
李光海
吴斌
何存富
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Beijing University of Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N27/00Investigating or analysing materials by the use of electric, electrochemical, or magnetic means
    • G01N27/72Investigating or analysing materials by the use of electric, electrochemical, or magnetic means by investigating magnetic variables
    • G01N27/82Investigating or analysing materials by the use of electric, electrochemical, or magnetic means by investigating magnetic variables for investigating the presence of flaws
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N27/00Investigating or analysing materials by the use of electric, electrochemical, or magnetic means
    • G01N27/72Investigating or analysing materials by the use of electric, electrochemical, or magnetic means by investigating magnetic variables
    • G01N27/82Investigating or analysing materials by the use of electric, electrochemical, or magnetic means by investigating magnetic variables for investigating the presence of flaws
    • G01N27/83Investigating or analysing materials by the use of electric, electrochemical, or magnetic means by investigating magnetic variables for investigating the presence of flaws by investigating stray magnetic fields
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/18Complex mathematical operations for evaluating statistical data, e.g. average values, frequency distributions, probability functions, regression analysis

Abstract

The invention discloses a kind of Uniform ity Design Methods that detection excitation parameters optimization is mixed for electromagnetism, the present invention carries out Uniform Design as experimental factor using four excitation parameters for being mixed detection, obtains the different lower mixing detection signals of excitation parameters combination by test experience;Mixing detection signal is handled, therefrom extracts the various features index that can reflect mixing response, and be based on these characteristic indexs, building can be used for being mixed the fuzzy model of response evaluation;According to fuzzy evaluation results, the multiple regression equation of four excitation parameters is established.Influence using method of gradual regression analysis excitation parameters to electromagnetism mixing response, and using the extreme value of genetic algorithm solution regression equation, to obtain the optimal combination of four excitation parameters.

Description

A kind of Uniform ity Design Method being mixed detection excitation parameters optimization for electromagnetism
Technical field
The present invention relates to a kind of methods that electromagnetism is mixed detection excitation parameters optimization, are based particularly on Uniform Design Multiple activation parameter optimization method.This method is suitable for the excitation parameters optimization of ferrimagnet electromagnetism mixing detection, belongs to lossless Detection field.
Background technique
Electromagnetism mixing detection technique is a kind of to utilize the lossless of electromagnetism non-linear frequency mixing effect detection ferromagnetic material micro-damage Detection method.In electromagnetism mixing detection, ferromagnetic component needs in the alternating magnetic field in low-and high-frequency superposition.In general, low-frequency magnetic The intensity of field is larger, and component can be magnetized to nearly saturation state;The intensity of high frequency magnetic field is typically small, only in component near surface shape At weak disturbance magnetic field.Under two magnetic field collective effects, will to cause weak magnetic non-for the rotation of magnetic domain and domain wall mobile in ferromagnetic component Linear effect generates electromagnetism mixing phenomenon.The electromagnetism mixing effect of ferromagnetic material is related with the hysteresis characteristic of material, it is to material Internal micro-damage is very sensitive.Compared with traditional electromagnetic nondestructive testing, electromagnetism frequency mixing technique has signal-to-noise ratio and sensitive Spend high advantage
Since magnetic mixing effect is the small nonlinearity because of two kinds of different frequency magnetic fields and the interaction generation of ferromagnetism test specimen Effect, therefore, in the case where component to be detected determines, the excitation parameters of high frequency magnetic field and low frequency magnetic field will directly affect magnetic and mix The power and detection sensitivity [1] of frequency effect.BurdinDA [2] has studied mixing exciting field medium-high frequency field frequency and amplitude pair The influence of electromagnetism nonlinear effect.By Frequency sweep experiments, electromagnetism mixed components are analyzed with the changing rule of higher frequency, are determined Optimal high frequency magnetic field driving frequency.On this basis, change high frequency magnetic field excitation amplitude, according to detection signal with excitation width The changing rule of value, it is determined that the excitation amplitude of high frequency magnetic field.In the above research, mixing is detected using single argument optimum seeking method Parameter has carried out preferably, that is, assumes that only one factor works in mixing detection, the conclusion obtained also can only be single factor test It influences.Obviously, this detection parameters design method cannot reflect the collective effect of various factors comprehensively.
For many reference amounts optimal selection problem under multifactor joint effect, currently used method have orthogonal experimental design method and Outer electric field.Wherein, orthogonal experimental design method is a kind of efficient, quick multi-parameter design method in Factorial Design, And it is applied in electromagnetic detection parameter optimization.For example, Wu Bin [3] is using orthogonal experiment to excitation line in Magnetic Flux Leakage Inspecting Design is optimized in thickness, height and the magnetic masking layer of circle, effectively increases the precision of cable wire Magnetic Flux Leakage Inspecting.But due to orthogonal The uniformly dispersed and neat comparativity [4] that testing site is considered in experimental design, limit Optimal Parameters variation range and Step-length is not suitable for the more parameter optimization of experimental level.And uniform design is a kind of based on " pseudo- Monte Carlo side in number theory The test design method of method ".It is come by picking out part of representative in trial stretch and evenly dispersed testing site The main feature for reflecting test system, is a kind of higher test design method of robustness.Compared with Orthogonal Experiment and Design, uniformly Design ensure that the uniformly dispersed of testing site, have ignored neat comparativity, can be in the case where test level is more significantly Test number (TN) is reduced, and uniformity is more preferable [5].
Multiple activation Parametric optimization problem, a kind of multiple activation parameter optimization method of this research and development are mixed for electromagnetism.It is based on Uniform design, building include the mixing effect Fuzzy Optimization Model of two characteristic indexs of the coefficient of variation and related coefficient, are passed through The optimization design of low frequency and high frequency pumping parameter in electromagnetism mixing detection is realized in uniform design and regression analysis.
Summary of the invention
The purpose of the present invention is to provide a kind of electromagnetism to be mixed detection excitation parameters optimization method, is based particularly on and uniformly sets The method for counting test.Fig. 1 gives process of the uniform design for electromagnetism mixing frequency excitation mode Parameters Optimal Design.To be mixed detection Four excitation parameters carry out Uniform Design as experimental factor, obtained under the combination of different excitation parameters by test experience Mixing detection signal;Mixing detection signal is handled, the various features index that can reflect mixing response is therefrom extracted, and Based on these characteristic indexs, building can be used for being mixed the fuzzy model of response evaluation;According to fuzzy evaluation results, establishes four and swash Encourage the multiple regression equation of parameter.Influence using method of gradual regression analysis excitation parameters to electromagnetism mixing response, and utilize something lost Propagation algorithm solves the extreme value of regression equation, to obtain the optimal combination of four excitation parameters.
A kind of Uniform ity Design Method being mixed detection excitation parameters optimization for electromagnetism proposed by the present invention, basic principle It is:
In electromagnetism mixing detection, the low order and frequency (f that are typically based in detection signal1+2f2) and difference frequency (f1-2f2) point Amount building mixing effect characterization parameter.Therefore, low order and the intensity and consistency of frequency component and low order difference frequency component will affect It is mixed the effect of detection.In general, amplitude is more advantageous to compared with the strong and higher mixed components of consistency improves electromagnetism mixing detection Ability.
According to Principle of Statistics, the present invention by the coefficient of variation and related coefficient be respectively used to two low order mixed components intensity and Consistency characterization.Wherein, the expression formula of coefficient of variation D is
In formula,WithThe respectively amplitude of mixing detection signal low order and frequency component and low order difference frequency component. N is the replicated experimental units of each level.Coefficient of variation D is as a type index less than normal, and value is smaller, and the intensity of mixed components is got over It is high.
The expression formula of related coefficient P is
In formula,WithRespectively indicate the average value of low order and frequency component and low order difference frequency component amplitude.M is Uniform Design number.Related coefficient P is a type index bigger than normal, and value is bigger, the difference of two low order mixed components amplitudes It is anisotropic smaller.By analyzing the variation tendency it is found that two magnetic mixing Effect Evaluation indexs of coefficient of variation D and related coefficient P above On the contrary.
To comprehensively consider influence of the excitation parameters to mixing effect power and consistency, it is based on Fuzzy Optimization Theory, is utilized Subordinating degree function quantifies the weight of two characteristic indexs of the coefficient of variation and related coefficient, and establishing includes two characteristic indexs Mixing effect fuzzy evaluation model.
Based on the coefficient of variation and related coefficient two characteristic indexs with the relationship that is mixed effect power, select type less than normal respectively The subordinating degree function of ridge type distribution function and type Cauchy distribution function bigger than normal as coefficient of variation D and related coefficient P.Wherein, become The ridge type of different coefficient index D is distributed subordinating degree function μD R(xD,j) can be expressed as
In formula, μD R(xD,j) indicate xD,jTo the subordinating degree function for being subordinate to space M { 0:1 } mapping, which, which reflects, is respectively commented Index is estimated to the satisfaction of optimum results.xD,jIt is the coefficient of variation index value (1≤j≤15) of jth group Uniform Design. When be subordinate to angle value level off to 1 when, the satisfaction of optimum results is higher;Conversely, when the value level off to 0 when, the satisfaction of optimum results It spends lower.Work as xD,jWhen≤0.001, the subordinating degree function value of coefficient D is 1, and expression is entirely satisfactory the result in this region;When 0.001<xD,jWhen≤0.5, subordinating degree function is the distribution of ridge type, is gradually decreased, the satisfaction of evaluation result also declines therewith;When xD,jWhen > 0.5, it is subordinate to angle value and is reduced to 0, indicates completely dissatisfied to the result in the region.
The Cauchy of related coefficient index P is distributed subordinating degree function μP C(xP,j) be expressed as
In formula, μP C(xP,j) indicate xP,jTo the subordinating degree function for being subordinate to space M { 0:1 } mapping, xP,jIt is uniformly set for jth group Count the related coefficient index value of test.If xP,jThe subordinating degree function of < 0.999, P are Cauchy's distribution, are gradually increased, evaluation result Satisfaction rise with it.If xP,j>=0.999, being subordinate to angle value at this time is 1, i.e., is entirely satisfactory to the evaluation result in the region. Its weight coefficient is distributed according to the average membership value of two indexes.Thus obtained fuzzy evaluation model is written as
In general, fuzzy evaluation model does not establish explicit relation with mixing frequency excitation mode parameter, mixing detection ginseng cannot be directly used to Several optimization designs.Explicitly to express influence of the mixing frequency excitation mode parameter to mixing effect, is constructed and be mixed using regression analysis The regression model of excitation parameters and fuzzy evaluation functions, to obtain the display expression formula for being mixed detection parameters and being mixed effect. Electromagnetism mixing frequency excitation mode parameter and fuzzy evaluation functions, which can be used to lower quadratic regression model, to be indicated
In formula, f (x) is the fuzzy evaluation value in formula (5), xiFor the factor of Uniform Design, i value is in this method 4, i.e. x1Indicate Frequency, x2Indicate higher frequency, x3Indicate low frequency amplitude, x4Indicate high frequency amplitude.β0iiiAnd βijFor Regression coefficient.M is the number of independent variable, value 4.The item number of regression model is m (m+3)/2.By calculating regression model Extreme value obtains each excitation parameters optimal combination.
Technical scheme is as follows:
Device of the present invention referring to fig. 2, including computer 1, signal motivate analog input card 2,3 and of power amplifier Electromagnetism mixed frequency sensor 4.Firstly, computer 1 is connected with signal excitation analog input card 2, computer 1 and signal motivate collection plate Card 2 is for controlling the excitation of magnetic mixed frequency signal and detecting the display and analysis processing of signal.The output end of signal excitation capture card 2 Mouth is connected with the input port of power amplifier 3, the amplification for pumping signal.Then, the output of power amplifier 3 is terminated The input terminal for entering electromagnetism mixed frequency sensor 4, the magnetization for sensor to detection test specimen.Meanwhile electromagnetism mixed frequency sensor 4 is defeated Outlet is connected with the input terminal of excitation analog input card 2, is used for transmission collected electromagnetism mixed frequency signal.
A kind of Uniform ity Design Method being mixed detection excitation parameters optimization for electromagnetism proposed by the present invention is by following What step was realized:
1) excitation parameters of electromagnetism mixing detection include higher frequency, high frequency amplitude, Frequency and low frequency amplitude.According to Early period is mixed test experience experience, determines the variation range and step-length of these excitation parameters.Using this four excitation parameters as examination It tests factor and carries out Uniform Design, obtain the uniform designs table U of four factor levelsM(M4), M is test number (TN).To y test specimen M electromagnetism mixing detection test is carried out respectively.P times is carried out under every kind of experimental level to repeat to test, and obtains the mixing inspection of yMp group Survey test result.
2) based on mixing detection stimulus under different level in Uniform Design, according to coefficient of variation D formula (1) and The specific value of related coefficient P formula (2) calculating two characteristic indexs of coefficient of variation D and related coefficient P.Two indexes are analyzed to equal The evaluation result of even design experiment.
3) based on the evaluation result of two indexes, subordinating degree function, that is, formula (3) are distributed using the ridge type of coefficient of variation index D The subordinating degree function value that subordinating degree function, that is, formula (4) calculate two indexes is distributed with the Cauchy of related coefficient index P.Refer to according to two Target average membership value distributes its weight coefficient, and weight coefficient substitution fuzzy evaluation model formula (5) is obtained fuzzy comment Valence model.
4) according to quadratic regression model formula (6), using four excitation parameters as independent variable xi, with Uniform Design Fuzzy evaluation results f (x) be used as dependent variable, establish the regression model of fuzzy evaluation results.Referred to according to the inspection of regression result Mark, judges the conspicuousness of regression model.
5) within the scope of the feasible zone of each excitation parameters, the extreme value of fuzzy evaluation results f (x) in regression model is solved, To obtain each excitation parameters xiOptimal combination result.
The invention has the following advantages that (1) coefficient of variation and two characteristic indexs of related coefficient can effectively reflect electricity respectively The intensity and consistency of magnetic mixed components are conducive to the evaluation of electromagnetism mixing effect;(2) electromagnetism mixing fuzzy evaluation model is comprehensive The coefficient of variation and two characteristic indexs of related coefficient are considered, can sufficiently reflect influence of the mixing frequency excitation mode parameter to mixing effect. In conjunction with multiple regression analysis, fuzzy evaluation model can realize the preferred of mixing frequency excitation mode parameter combination.
Detailed description of the invention
Electromagnetism mixing frequency excitation mode parameter optimization flow chart of the Fig. 1 based on uniform design
Fig. 2 electromagnetism mixing detection pilot system schematic diagram
In figure: 1, computer, 2, excitation analog input card, 3, power amplifier, 4, electromagnetism mixing detection sensor.
Specific embodiment
Below with reference to specific experiment, the invention will be further described:
This experiment implementation process the following steps are included:
1, experimental system is built: building experimental system according to detection device system diagram shown in Fig. 2, system includes computer 1, signal excitation analog input card 2, power amplifier 3 and electromagnetism mixed frequency sensor 4.Firstly, computer 1 and signal excitation are acquired Board is connected, for controlling the excitation of magnetic mixed frequency signal and detecting the display and analysis processing of signal.Signal motivates capture card 2 Output port is connected with the input port of power amplifier, the amplification for pumping signal.Then, by the defeated of power amplifier 3 Outlet accesses the input terminal of electromagnetism mixed frequency sensor 4, the magnetization for sensor to detection test specimen.Meanwhile the output of sensor 4 It holds and is connected with the input terminal of excitation analog input card 2, be used for transmission collected electromagnetism mixed frequency signal.
2, the excitation parameters of electromagnetism mixing detection mainly include higher frequency, high frequency amplitude, Frequency and low frequency amplitude. It is mixed test experience experience according to early period, determines the variation range and step-length of these excitation parameters, as shown in table 1.With this four Excitation parameters carry out Uniform Design as experimental factor, obtain the uniform designs table U of 4 factor levels15(154), such as 2 institute of table Show.15 electromagnetism mixing detection tests are carried out respectively to 9 test specimens.3 repetitions are carried out under every kind of experimental level to test, and obtain 9 × 15 × 3 groups of mixing detect test result.
3, it based on mixing detection stimulus under different level in Uniform Design, is counted according to formula (1) and formula (2) Calculate the specific value of two characteristic indexs of coefficient of variation D and related coefficient P.Table 3 gives the mixing detection examination under different level Test the specific value of two characteristic indexs extracted in signal.As shown in Table 3, it is based on type index coefficient of variation D less than normal, is obtained Optimal parameter group be combined into the 6th group;And according to type index related coefficient P bigger than normal, obtained Optimum Excitation parameter combination is the 11st Group.
4, based on the evaluation result of two indexes, formula (3) type distribution function in type ridge less than normal and formula (4) type Ke bigger than normal are utilized Western distribution function calculates the subordinating degree function value of two indexes.Table 4 gives the degree of membership letter of two evaluation index of Uniform Design Numerical value.Its weight coefficient is distributed according to the average membership value of two indexes, coefficient substitution formula (5) is obtained into fuzzy evaluation mould Type.
5, according to formula (6), using four excitation parameters as independent variable xi, with the fuzzy evaluation results of Uniform Design F (x) is used as dependent variable, carries out successive Regression to formula (6) using SPSS software, determines model regression coefficient.Table 5 gives back The test rating for summing up fruit, for judging the conspicuousness of regression model.In table 5, R is related coefficient, R2For the coefficient of determination, F The significance examined for F.Due to R and R2The significance examined close to 1, F of value much larger than 0.05, successive Regression Model is significant.The electromagnetism mixing frequency excitation mode parameter thereby determined that is with the explicit expression for being mixed effect
6, the extreme value of fuzzy evaluation model f (x) in the feasible zone of four excitation parameters (table 1), is solved.The present invention utilizes Genetic Optimization Algorithm solves the maximum of mixing effect explicit expression, and table 6 gives the result of genetic optimization.As shown in Table 6, The maximum of regression model is 1.2708, the Optimum Excitation parameter combination of electromagnetism mixing detection are as follows: Frequency 1Hz is high again and again Rate 200Hz, low frequency amplitude 5V, high frequency amplitude 1V.
Table 1
Table 2
Table 3
Table 4
Table 5
Table 6
It is a typical case of the invention above, it is of the invention using without being limited thereto.
Bibliography
[1]Burdin D A,Chashin D V,Ekonomov N A,et al.Resonance mixing of alternating current magnetic fields in a multiferroic composite[J].Journal of Applied Physics,2013,113(3):101-106.
[2]Burdi nD A,Chashin D V,Ekonomov N A,et al.Nonlinear magneto- electric effects in ferromagnetic-piezoelectric composites[J].Journal of Magnetism&Magnetic Materials,2014,358-359(5):98-104.
[3]Wu B,Wang Y J,Liu X C,et al.A novel TMR-based MFL sensor for steel wire rope inspectionusing the orthogonal test method[J].Smart Material Structures,2015,24(7):7-18.
[4]Li N,Cao M,He C,et al.Multi-Parametric Indicator Design for ECT Sensor Optimization Used in Oil Transmission[J].IEEE Sensors Journal,2017,17 (7):2074-2088.
[5] Huang Xiaohui, Gong Weiming, Mu Baogang wait to test based on the band pile cover steel pipe Mud Thinner load-carrying properties of uniform design Study [J] rock-soil mechanics, 2014,35 (11): 3148-3156.

Claims (3)

1. a kind of Uniform ity Design Method for being mixed detection excitation parameters optimization for electromagnetism, which is characterized in that this method is to pass through What following steps were realized:
1) excitation parameters of electromagnetism mixing detection include higher frequency, high frequency amplitude, Frequency and low frequency amplitude;According to early period It is mixed test experience experience, determines the variation range and step-length of these excitation parameters;Using this four excitation parameters as test because Element carries out Uniform Design, obtains the uniform designs table U of four factor levelsM(M4), M is test number (TN);Y test specimen is distinguished Carry out M electromagnetism mixing detection test;P times is carried out under every kind of experimental level to repeat to test, and obtains the mixing detection examination of yMp group Test result;
2) it based on mixing detection stimulus under different level in Uniform Design, is counted according to coefficient of variation D and related coefficient P Calculate the specific value of two characteristic indexs of coefficient of variation D and related coefficient P;Two indexes are analyzed to the evaluation knot of Uniform Design Fruit;
3) based on the evaluation result of two indexes, subordinating degree function is distributed using the ridge type of coefficient of variation index D and related coefficient refers to The Cauchy for marking P is distributed the subordinating degree function value that subordinating degree function calculates two indexes;It is distributed according to the average membership value of two indexes Weight coefficient substitution fuzzy evaluation model is obtained fuzzy evaluation model by its weight coefficient;
4) according to quadratic regression model, using four excitation parameters as independent variable xi, with the fuzzy evaluation knot of Uniform Design Fruit f (x) is used as dependent variable, establishes the regression model of fuzzy evaluation results;According to the test rating of regression result, judge to return mould The conspicuousness of type;
5) within the scope of the feasible zone of each excitation parameters, the extreme value of fuzzy evaluation results f (x) in regression model is solved, thus Obtain each excitation parameters xiOptimal combination result.
2. a kind of Uniform ity Design Method for being mixed detection excitation parameters optimization for electromagnetism according to claim 1, special Sign is,
In electromagnetism mixing detection, based on the low order and frequency (f in detection signal1+2f2) and difference frequency (f1-2f2) component building mixing Effect characterization parameter;Therefore, low order and frequency component will affect with the intensity of low order difference frequency component and consistency is mixed detection Effect;Amplitude is more advantageous to the ability for improving electromagnetism mixing detection compared with the strong and higher mixed components of consistency;
According to Principle of Statistics, this method by the coefficient of variation and related coefficient be respectively used to two low order mixed components intensity with it is consistent Property characterization;Wherein, the expression formula of coefficient of variation D is
In formula,WithThe respectively amplitude of mixing detection signal low order and frequency component and low order difference frequency component;N is The replicated experimental units of each level;Coefficient of variation D is as a type index less than normal, and value is smaller, and the intensity of mixed components is higher;
The expression formula of related coefficient P is
In formula,WithRespectively indicate the average value of low order and frequency component and low order difference frequency component amplitude;M is uniform Design experiment number;Related coefficient P is a type index bigger than normal, and value is bigger, two low order mixed components f1、f2The difference of amplitude It is anisotropic smaller;By analyzing the variation tendency it is found that two magnetic mixing Effect Evaluation indexs of coefficient of variation D and related coefficient P above On the contrary;
Excitation parameters are strong and weak to mixing effect and the influence of consistency to comprehensively consider, and are based on Fuzzy Optimization Theory, using being subordinate to Degree function quantifies the weight of two characteristic indexs of the coefficient of variation and related coefficient, and establishing includes the mixed of two characteristic indexs Frequency effect fuzzy evaluation model;
Based on the coefficient of variation and related coefficient two characteristic indexs with the relationship that is mixed effect power, select type ridge less than normal type respectively The subordinating degree function of distribution function and type Cauchy distribution function bigger than normal as coefficient of variation D and related coefficient P;Wherein, variation lines The ridge type of number index D is distributed subordinating degree function μD R(xD,j) be expressed as
In formula, μD R(xD,j) indicate xD,jTo the subordinating degree function for being subordinate to space M { 0:1 } mapping, which reflects each assessment and refers to Mark the satisfaction to optimum results;xD,jIt is the coefficient of variation index value (1≤j≤15) of jth group Uniform Design;Work as person in servitude Belong to angle value level off to 1 when, the satisfaction of optimum results is higher;Conversely, when the value level off to 0 when, the satisfactions of optimum results compared with It is low;Work as xD,jWhen≤0.001, the subordinating degree function value of coefficient D is 1, and expression is entirely satisfactory the result in this region;When 0.001 <xD,jWhen≤0.5, subordinating degree function is the distribution of ridge type, is gradually decreased, the satisfaction of evaluation result also declines therewith;Work as xD,j> When 0.5, it is subordinate to angle value and is reduced to 0, indicates completely dissatisfied to the result in the region;
The Cauchy of related coefficient index P is distributed subordinating degree function μP C(xP,j) be expressed as
In formula, μP C(xP,j) indicate xP,jTo the subordinating degree function for being subordinate to space M { 0:1 } mapping, xP,jFor the examination of jth group uniform design The related coefficient index value tested;If xP,jThe subordinating degree function of < 0.999, P are Cauchy's distribution, are gradually increased, evaluation result expires Meaning degree rises with it;If xP,j>=0.999, being subordinate to angle value at this time is 1, i.e., is entirely satisfactory to the evaluation result in the region;According to The average membership value of two indexes distributes its weight coefficient;Thus obtained fuzzy evaluation model is written as
Using regression analysis building mixing frequency excitation mode parameter and fuzzy evaluation functions regression model, obtain mixing detection parameters with It is mixed the display expression formula of effect;Electromagnetism mixing frequency excitation mode parameter and fuzzy evaluation functions are indicated with following quadratic regression model
In formula, f (x) is the fuzzy evaluation value in formula (5), xiFor the factor of Uniform Design, i value is 4 in this method, i.e., x1Indicate Frequency, x2Indicate higher frequency, x3Indicate low frequency amplitude, x4Indicate high frequency amplitude;β0iiiAnd βijTo return Coefficient;M is the number of independent variable, value 4;The item number of regression model is m (m+3)/2;By calculating the extreme value of regression model, Obtain each excitation parameters optimal combination.
3. a kind of Uniform ity Design Method for being mixed detection excitation parameters optimization for electromagnetism according to claim 1, special Sign is, realizes that the device of this method includes computer (1), signal excitation analog input card (2), power amplifier (3) and electromagnetism Mixed frequency sensor (4);Firstly, computer (1) is connected with signal excitation analog input card (2), computer (1) is adopted with signal excitation Collection board (2) is used to control the excitation of magnetic mixed frequency signal and detects the display and analysis processing of signal;Signal motivates capture card (2) Output port be connected with the input port of power amplifier (3), the amplification for pumping signal;Then, by power amplifier (3) input terminal of output end access electromagnetism mixed frequency sensor (4), the magnetization for sensor to detection test specimen;Meanwhile electromagnetism The output end of mixed frequency sensor (4) is connected with the input terminal of excitation analog input card (2), is used for transmission collected electromagnetism mixing letter Number.
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常予等: "基于均匀设计的磁混频硬度检测激励参数优化", 《仪器仪表学报》 *

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110687213A (en) * 2019-08-26 2020-01-14 天津大学 Method for selecting optimal excitation frequency of nonlinear ultrasonic frequency mixing
CN111007113A (en) * 2019-11-22 2020-04-14 湖南城市学院 Optimized design method for metal oxide semiconductor gas sensor structure
CN111007113B (en) * 2019-11-22 2020-09-01 湖南城市学院 Optimized design method for metal oxide semiconductor gas sensor structure
CN111763816A (en) * 2020-06-17 2020-10-13 上海海事大学 Technological parameter optimization method of high-energy electric pulse technology for preventing crack propagation

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