A reliability analysis method and system for eddy current displacement sensor

Abstract

The embodiment of the present invention provides a reliability analysis method and system for an eddy current displacement sensor, including: analyzing the reliability of the sensitive material of the eddy current sensor to obtain a material fusion reliability index; analyzing the functional performance reliability of the eddy current sensor to obtain a functional performance fusion reliability index; analyzing the environmental reliability of the eddy current sensor to obtain an environmental fusion reliability index; fusing the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index to obtain a comprehensive reliability index of the eddy current sensor; performing normal distribution fitting calculation on the comprehensive reliability index of the eddy current sensor of multiple samples to obtain a reliability characteristic value; analyzing the reliability of the eddy current displacement sensor according to the reliability characteristic value. The embodiment of the present invention realizes accurate and objective analysis and evaluation of the reliability of the developed high-temperature radiation-resistant eddy current displacement sensor.

Description

Technical Field

[0001] The invention relates to a reliability analysis method and system for an eddy current displacement sensor. Background Art

[0002] The operating status of key rotating mechanical equipment such as shaft seal pumps and control rod drive mechanism fans in nuclear reactors is highly related to the performance and safety of nuclear reactors. Under long-term operation, roller wear, roller jamming, bearing wear, bearing jamming, component loosening, rotor misalignment, cracks and other faults are prone to occur, resulting in the reduction of the speed regulation efficiency of ship nuclear power and the safety of the primary circuit of nuclear reactors. When the internal structure of the equipment fails, the vibration, friction, wear or looseness of its internal components will cause the displacement response of the equipment surface. The monitoring and fault diagnosis technology research and application system development of the main pump status of ship nuclear power and nuclear energy systems, control rod drive mechanism failure, nuclear-grade valve failure, etc. require the use of eddy current displacement sensors working in high temperature and high pressure nuclear radiation environments, so that the displacement response signal can be further processed and feature extracted, and finally the fault diagnosis can be achieved.

[0003] However, there is currently no mature high-temperature radiation-resistant eddy current displacement sensor. Even if a high-temperature radiation-resistant eddy current displacement sensor is developed, there is no relevant reliability analysis method and means. The radiation dose and ambient temperature in a nuclear reactor environment are high, and it is not convenient to replace the sensor. The sensor should usually have a reliability of at least 20 years. If the sensor is damaged, it will trigger a series of chain reactions, which will in turn cause safety problems in the nuclear reactor.

[0004] The inventors have discovered that the prior art has at least the following technical problems: In the prior art, the developed high-temperature radiation-resistant eddy current displacement sensor cannot be accurately and objectively analyzed and evaluated. If it is directly applied to the equipment status monitoring of a nuclear reactor, there are potential reliability problems, which in turn causes a decrease in the accuracy of fault monitoring of key equipment in the primary circuit of the nuclear reactor. Summary of the invention

[0005] In order to solve the technical problem that the prior art cannot accurately and objectively analyze and evaluate the reliability of a developed high-temperature radiation-resistant eddy-current displacement sensor, an embodiment of the present invention provides an eddy-current displacement sensor reliability analysis method and system.

[0006] The embodiment of the present invention is achieved through the following technical solutions:

[0007] In a first aspect, an embodiment of the present invention provides a reliability analysis method for an eddy current displacement sensor, comprising:

[0008] Analyze the reliability of sensitive materials of eddy current sensors and obtain material fusion reliability indicators;

[0009] Analyze the functional performance reliability of eddy current sensors and obtain the functional performance fusion reliability index;

[0010] The environmental reliability of eddy current sensors is analyzed to obtain environmental fusion reliability indicators;

[0011] The comprehensive reliability index of eddy current sensor is obtained by integrating the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index.

[0012] The comprehensive reliability index of eddy current sensors of multiple samples is calculated by normal distribution fitting to obtain the reliability characteristic value;

[0013] The reliability of eddy current displacement sensor is analyzed based on the reliability characteristic value.

[0014] Furthermore, the reliability of the sensitive materials of the eddy current sensor is analyzed to obtain the material fusion reliability index; including:

[0015] Obtain the elastic modulus T of the material before the test through the material temperature radiation coupling test a and elongation at break D a , elastic modulus after test T b and elongation at break D b ;

[0016] According to the elastic modulus T before the test a and elastic modulus after test T b Calculate the relative change in elastic modulus;

[0017] According to the elongation at break before the test D a And the elongation at break after the test D b Calculate the relative change in elongation at break;

[0018] The material fusion reliability R is calculated based on the comparison between the relative change of elastic modulus and the threshold value of elastic modulus performance parameter of the material, and the relative change of elongation at break and the threshold value of elongation at break performance parameter of the material. m .

[0019] Furthermore, the functional performance reliability of the eddy current sensor is analyzed to obtain the functional performance fusion reliability index; including:

[0020] The functional performance reliability of the eddy current sensor is analyzed, and the lateral sensitivity S is obtained. h , amplitude linearity δ r , sensitivity S and frequency range f;

[0021] The lateral sensitivity S h , amplitude linearity δ r, sensitivity S and frequency range f are compared with their respective performance indicators and parameter thresholds, and the functional performance fusion reliability R is calculated. n .

[0022] Furthermore, the environmental reliability of the eddy current sensor is analyzed to obtain the environmental fusion reliability index, including:

[0023] The eddy current sensor is subjected to temperature and humidity tests, electromagnetic compatibility tests, thermal aging tests, impact tests, vibration aging tests, and radiation performance tests. The zero-point output and full-scale output data before, during, and after the test are obtained. The relative errors of the data before, during, and after the test and the relative errors of the fitting slopes before, during, and after the test are calculated to obtain the environmental fusion reliability index.

[0024] Compare the environmental fusion reliability index with the corresponding parameter threshold and calculate the environmental fusion reliability R e .

[0025] Furthermore, the formulas for the relative change of elastic modulus and the relative change of elongation at break are:

[0026]

[0027]

[0028] The material fusion reliability R is calculated based on the comparison between the relative change of elastic modulus and the threshold value of elastic modulus performance parameter of the material, and the relative change of elongation at break and the threshold value of elongation at break performance parameter of the material. m ;include:

[0029] The calculated ΔT and ΔD are compared with the thresholds T of the two performance parameters. T and T D Compare, if it is less than the corresponding threshold, then calculate the material fusion reliability R m ; If it is greater than the corresponding threshold, it is judged that the first-level reliability of the material does not meet the requirements.

[0030] Among them, material fusion reliability R m The formula is:

[0031]

[0032] Among them, a 1 、a 2 is the correction factor for elastic modulus and elongation at break, Q 1 , Q 2 is the weighting factor for elastic modulus and elongation at break.

[0033] Furthermore, the lateral sensitivity Sh The formula is:

[0034]

[0035] Among them, U h0 is the initial output voltage, U hi is the sensor output signal of lateral sensitivity detection, i is the detection point sequence number 1, 2…N, N is an integer greater than zero;

[0036] The amplitude linearity calculation formula is:

[0037]

[0038] Where: r is the sensor amplitude linearity, %; U i is the output value of the output signal at the same detection point, V; is the arithmetic mean of the output signal at the same detection point, V; U M is the output voltage of the sensor at full scale, U 0 The output voltage of the sensor at zero point;

[0039] The sensitivity calculation formula is:

[0040]

[0041] Among them, L i is the selected displacement point, i is the detection point sequence number 1, 2…N, N is an integer greater than zero;

[0042] The calculation of the frequency range f includes: using the dynamic reference sensitivity and the deviation factor δ f Calculate the frequency range f;

[0043] The dynamic reference sensitivity calculation formula is:

[0044]

[0045] Where: S d is the dynamic reference sensitivity of the sensor; U is the output value of the sensor; D is the amplitude generated by the vibration table.

[0046] Deviation factor δ f The formula is

[0047]

[0048] Where: f The maximum absolute value of the relative deviation between the sensor sensitivity and the dynamic reference sensitivity, dB; S di is the dynamic sensitivity of the ith frequency point; since the lower frequency limit is 0, δ fThe frequency upper limit is when the attenuation is 3dB, which is the frequency range f.

[0049] Furthermore, the lateral sensitivity S h , amplitude linearity δ r , sensitivity S and frequency range f are compared with their respective performance indicators and parameter thresholds, and the functional performance fusion reliability R is calculated. n ;include:

[0050] Calculate the relative change of sensitivity performance parameter ΔS; the calculation formula of ΔS is

[0051]

[0052] The calculated lateral sensitivity S h , amplitude linearity δ r , ΔS and frequency range f are respectively related to threshold T Sh , T L , T S and T f For comparison; if the lateral sensitivity S h , amplitude linearity δ r and ΔS are greater than their respective thresholds T Sh , T L and T S ; or the frequency range f is less than T f , then the functional performance first-level reliability is determined to be unsatisfactory; otherwise, the functional performance fusion reliability R n ;

[0053] The calculation formula of functional performance fusion reliability is:

[0054]

[0055] Among them, a 3 、a 4 、a 5 、a 6 are the correction factors for transverse sensitivity, amplitude linearity, sensitivity and frequency range respectively; Q 3 , Q 4 , Q 5 , Q 6 are the weighting factors for transverse sensitivity, amplitude linearity, sensitivity and frequency range, respectively.

[0056] Furthermore, the eddy current sensor is subjected to temperature and humidity tests, electromagnetic compatibility tests, thermal aging tests, impact tests, vibration aging tests and radiation performance tests, and the zero-point output and full-scale output data before, during and after the test are obtained. The relative errors of the data before, during and after the test and the relative errors of the fitting slopes before, during and after the test are calculated to obtain the environmental fusion reliability index; including:

[0057] The eddy current sensor was subjected to temperature and humidity test, electromagnetic compatibility test and thermal aging test, and the relevant data were measured to obtain the zero point output before, during and after the test as U 0Ti , U 0Ei , U 0Hi , the full-scale output before, during and after the test is U MTi , U MEi , U MHi , where i = 1, 2, 3 ... N, N is a positive integer greater than 1; the relative error of the zero point before, during and after the temperature and humidity, electromagnetic compatibility, and thermal aging tests is expressed as

[0058]

[0059]

[0060]

[0061] Among them, ΔU OT ΔU is the relative error of the zero point before, during and after the temperature and humidity test; OE Zero point relative error before, during and after the electromagnetic compatibility test; ΔU OH Relative error of zero point before, during and after thermal aging test;

[0062] The full-scale relative error before, during and after the temperature and humidity, electromagnetic compatibility, and thermal aging tests is expressed as

[0063]

[0064]

[0065]

[0066] Among them, ΔU MT ΔU is the full-scale relative error before, during and after the temperature and humidity test; ME ΔU is the full-scale relative error before, during and after the electromagnetic compatibility test; MH Full scale relative error before, during and after thermal aging test;

[0067] The relative errors before, during and after the temperature and humidity, electromagnetic compatibility and thermal aging tests are

[0068] ΔU T =max(ΔU0T ,ΔU MT ) (18)

[0069] ΔU E =max(ΔU 0E ,ΔU ME ) (19)

[0070] ΔU H =max(ΔU 0H ,ΔU MH ) (20)

[0071] Among them, ΔU T ΔU is the relative error before, during and after the temperature and humidity test; E Relative error before, during and after the electromagnetic compatibility test; ΔU H Relative error before, during and after thermal aging test;

[0072] The fitting slope of temperature and humidity, electromagnetic compatibility, and thermal aging tests is expressed as

[0073]

[0074]

[0075]

[0076] Among them, k Ti is the fitting slope of the temperature and humidity test, k Ei is the fitting slope of the electromagnetic compatibility test, k Hi is the fitting slope of the thermal aging test;

[0077] The relative error of the fitting slope before, during and after the temperature and humidity, electromagnetic compatibility and thermal aging tests is expressed as

[0078]

[0079]

[0080]

[0081] Among them, ΔK T is the relative error of the fitting slope before, during and after the temperature and humidity test, ΔK E is the relative error of the fitting slope before, during and after the electromagnetic compatibility test, ΔK H is the relative error of the fitting slope before, during and after the thermal aging test;

[0082] The environmental reliability of the eddy current sensor was tested by impact test, vibration aging test and radiation performance test, and the zero point output before and after the test was obtained as U 0Ii , U 0Vi , U0Ri , the full-scale output before and after the test is U MIi , U MVi , U MRi ; where i = 1, 2, 3 ... N, N is a positive integer greater than 1; the relative error of the zero point before and after the impact, vibration aging, and radiation performance test is expressed as

[0083]

[0084]

[0085]

[0086] Among them, ΔU OI is the relative error of zero point before and after the impact performance test, ΔU OV is the zero point relative error before and after the vibration aging performance test, ΔU OR is the zero point relative error before and after the irradiation performance test;

[0087] The full-scale relative error before and after the shock, vibration aging, and radiation performance test is expressed as

[0088]

[0089]

[0090]

[0091] Among them, ΔU MI is the full scale relative error before and after the impact performance test, ΔU MV is the full-scale relative error before and after the vibration aging performance test, ΔU MR is the full-scale relative error before and after the irradiation performance test;

[0092] The relative errors before and after the shock, vibration aging and radiation performance tests are

[0093] ΔU I =max(ΔU 0I ,ΔU MI ) (33)

[0094] ΔU V =max(ΔU 0V ,ΔU MV ) (34)

[0095] ΔU R =max(ΔU 0R ,ΔU MR ) (35)

[0096] Among them, ΔU Iis the relative error before and after the impact performance test, ΔU V is the relative error before and after the vibration aging performance test, ΔU R is the relative error before and after the irradiation performance test;

[0097] The fitting slope of shock, vibration aging and radiation performance test is expressed as

[0098]

[0099]

[0100]

[0101] Among them, k Ii is the impact performance test fitting slope, k Vi is the fitting slope of the vibration aging performance test, k Ri Fitting slope for irradiation performance test;

[0102] The relative error of the fitting slope before and after the shock, vibration aging, and radiation performance tests is expressed as

[0103]

[0104]

[0105]

[0106] Among them, ΔK I is the fitting slope before and after the impact performance test, ΔK V is the fitting slope before and after the vibration aging performance test, ΔK R is the fitting slope before and after the irradiation performance test.

[0107] Furthermore, the environmental fusion reliability index is compared with the corresponding parameter threshold to calculate the environmental fusion reliability R e ;include:

[0108] The calculated relative errors and fitting slope errors of temperature and humidity, electromagnetic compatibility, thermal aging, shock, vibration aging, and irradiation performance tests are compared with the performance parameters of each test and the corresponding thresholds. If the index is greater than the corresponding threshold, it is judged that the first-level reliability of the environment does not meet the requirements; otherwise, the environmental fusion reliability R is obtained. e ;

[0109] Environmental Fusion Reliability e The calculation formula is

[0110]

[0111] Among them, a 7 ~a12 They are the correction factors for temperature and humidity, electromagnetic compatibility, thermal aging, shock, vibration aging, and radiation performance tests, respectively. 7 ~Q 12 It is the weight factor for temperature and humidity, electromagnetic compatibility, thermal aging, shock, vibration aging, and radiation performance tests.

[0112] Furthermore, the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index are integrated to obtain the comprehensive reliability index of the eddy current sensor; including:

[0113] The comprehensive reliability index R of the eddy current sensor is obtained by integrating the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index. 0 ;

[0114] R 0 The calculation formula is

[0115]

[0116] Where Q 11 , Q 12 , Q 13 They are material fusion reliability weight factor, functional performance fusion reliability weight factor and environmental fusion reliability weight factor respectively;

[0117] The comprehensive reliability index of eddy current sensors of multiple samples is calculated by normal distribution fitting to obtain the reliability characteristic value; including:

[0118] By performing reliability calculation on multiple eddy current sensor samples, multiple groups of R 0 , and then a normal distribution fitting is performed to obtain the mean and variance of the distribution as the reliability characteristic values.

[0119] In a second aspect, an embodiment of the present invention provides a reliability analysis system for an eddy current displacement sensor, comprising:

[0120] A material fusion reliability index acquisition unit is used to analyze the reliability of the sensitive material of the eddy current sensor and obtain a material fusion reliability index;

[0121] A functional performance fusion reliability index acquisition unit is used to analyze the functional performance reliability of the eddy current sensor and obtain a functional performance fusion reliability index;

[0122] An environmental fusion reliability index acquisition unit is used to analyze the environmental reliability of the eddy current sensor and obtain an environmental fusion reliability index;

[0123] An index fusion unit, used to fuse the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index to obtain a comprehensive reliability index of the eddy current sensor;

[0124] A fitting calculation unit, used for performing normal distribution fitting calculation on the comprehensive reliability index of eddy current sensors of multiple samples to obtain reliability characteristic values; and

[0125] The analysis unit is used to analyze the reliability of the eddy current displacement sensor according to the reliability characteristic value.

[0126] Compared with the prior art, the embodiments of the present invention have the following advantages and beneficial effects:

[0127] A reliability analysis method and system for an eddy current displacement sensor according to an embodiment of the present invention analyzes the reliability of the sensitive material of the eddy current sensor to obtain a material fusion reliability index; analyzes the functional performance reliability of the eddy current sensor to obtain a functional performance fusion reliability index; analyzes the environmental reliability of the eddy current sensor to obtain an environmental fusion reliability index; fuses the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index to obtain a comprehensive reliability index of the eddy current sensor; performs normal distribution fitting calculation on the comprehensive reliability index of the eddy current sensors of multiple samples to obtain reliability characteristic values; analyzes the reliability of the eddy current displacement sensor according to the reliability characteristic values, and simply and intuitively reflects whether the high-temperature radiation-resistant eddy current displacement sensor meets the use standards of the nuclear reactor, and can perform in-depth analysis on samples with insufficient reliability according to the quantified reliability index and the calculation and analysis results, thereby achieving accurate and objective analysis and evaluation of the reliability of the developed high-temperature radiation-resistant eddy current displacement sensor. BRIEF DESCRIPTION OF THE DRAWINGS

[0128] In order to more clearly illustrate the technical solutions of the exemplary embodiments of the present invention, the drawings required for use in the embodiments will be briefly introduced below. It should be understood that the following drawings only show certain embodiments of the present invention and therefore should not be regarded as limiting the scope. For ordinary technicians in this field, other related drawings can be obtained based on these drawings without paying creative work.

[0129] Figure 1 It is a flow chart of the reliability analysis method of eddy current displacement sensor.

[0130] Figure 2 This is a schematic diagram of the structure of the eddy current displacement sensor reliability analysis system.

[0131] Figure 3 Schematic diagram of the flow chart of the reliability analysis method of the eddy current displacement sensor of the experimental example. DETAILED DESCRIPTION

[0132] In order to make the objectives, technical solutions and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with embodiments and drawings. The exemplary embodiments of the present invention and their description are only used to explain the present invention and are not intended to limit the present invention.

[0133] In the following description, a large number of specific details are set forth in order to provide a thorough understanding of the present invention. However, it is apparent to one of ordinary skill in the art that these specific details are not necessarily employed to practice the present invention. In other embodiments, in order to avoid obscuring the present invention, well-known structures, circuits, materials, or methods are not specifically described.

[0134] Throughout the specification, references to "one embodiment," "an embodiment," "an example," or "an example" mean that a particular feature, structure, or characteristic described in conjunction with the embodiment or example is included in at least one embodiment of the present invention. Therefore, the phrases "one embodiment," "an embodiment," "an example," or "an example" appearing in various places throughout the specification do not necessarily all refer to the same embodiment or example. In addition, particular features, structures, or characteristics may be combined in one or more embodiments or examples in any suitable combination and / or sub-combination. In addition, it will be appreciated by those of ordinary skill in the art that the figures provided herein are for illustrative purposes and that the figures are not necessarily drawn to scale. The term "and / or" as used herein includes any and all combinations of one or more of the associated listed items.

[0135] In the description of the present invention, the directions or positional relationships indicated by terms such as “front”, “rear”, “left”, “right”, “up”, “down”, “vertical”, “horizontal”, “high”, “low”, “inside” and “outside” are based on the directions or positional relationships shown in the accompanying drawings and are only for the convenience of describing the present invention and simplifying the description. They do not indicate or imply that the device or element referred to must have a specific direction, be constructed and operated in a specific direction. Therefore, they should not be understood as limiting the scope of protection of the present invention.

[0136] Example

[0137] In order to solve the technical problem that the existing technology cannot accurately and objectively analyze and evaluate the reliability of the developed high-temperature radiation-resistant eddy current displacement sensor, the embodiment of the present invention provides an eddy current displacement sensor reliability analysis method and system. In the first aspect, the embodiment of the present invention provides an eddy current displacement sensor reliability analysis method, referring to Figure 1 As shown, including:

[0138] S1. Analyze the reliability of the sensitive materials of the eddy current sensor and obtain the material fusion reliability index;

[0139] S2. Analyze the functional performance reliability of the eddy current sensor and obtain the functional performance fusion reliability index;

[0140] S3. Analyze the environmental reliability of the eddy current sensor and obtain the environmental fusion reliability index;

[0141] S4. The material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index are integrated to obtain the comprehensive reliability index of the eddy current sensor;

[0142] S5. Perform normal distribution fitting calculation on the comprehensive reliability index of eddy current sensors of multiple samples to obtain reliability characteristic values;

[0143] S6. Analyze the reliability of the eddy current displacement sensor based on the reliability characteristic value.

[0144] The embodiment of the present invention analyzes the reliability of the sensitive material of the eddy current sensor to obtain a material fusion reliability index; analyzes the functional performance reliability of the eddy current sensor to obtain a functional performance fusion reliability index; analyzes the environmental reliability of the eddy current sensor to obtain an environmental fusion reliability index; integrates the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index to obtain a comprehensive reliability index of the eddy current sensor; performs normal distribution fitting calculation on the comprehensive reliability index of the eddy current sensors of multiple samples to obtain reliability characteristic values; analyzes the reliability of the eddy current displacement sensor according to the reliability characteristic values, and simply and intuitively reflects whether the high-temperature radiation-resistant eddy current displacement sensor meets the use standards of the nuclear reactor, and can perform in-depth analysis on samples with insufficient reliability according to the quantified reliability index and the calculation and analysis results, thereby achieving accurate and objective analysis and evaluation of the reliability of the developed high-temperature radiation-resistant eddy current displacement sensor.

[0145] Furthermore, the reliability of the sensitive materials of the eddy current sensor is analyzed to obtain the material fusion reliability index; including:

[0146] Obtain the elastic modulus T of the material before the test through the material temperature radiation coupling test a and elongation at break D a , elastic modulus after test T b and elongation at break D b ;

[0147] According to the elastic modulus T before the test a and elastic modulus after test T b Calculate the relative change in elastic modulus;

[0148] According to the elongation at break before the test D a And the elongation at break after the test D bCalculate the relative change in elongation at break;

[0149] The material fusion reliability R is calculated based on the comparison between the relative change of elastic modulus and the threshold value of elastic modulus performance parameter of the material, and the relative change of elongation at break and the threshold value of elongation at break performance parameter of the material. m .

[0150] Furthermore, the functional performance reliability of the eddy current sensor is analyzed to obtain the functional performance fusion reliability index; including:

[0151] The functional performance reliability of the eddy current sensor is analyzed, and the lateral sensitivity S is obtained. h , amplitude linearity δ r , sensitivity S and frequency range f;

[0152] The lateral sensitivity S h , amplitude linearity δ r , sensitivity S and frequency range f are compared with their respective performance indicators and parameter thresholds, and the functional performance fusion reliability R is calculated. n .

[0153] Furthermore, the environmental reliability of the eddy current sensor is analyzed to obtain the environmental fusion reliability index, including:

[0154] The eddy current sensor is subjected to temperature and humidity tests, electromagnetic compatibility tests, thermal aging tests, impact tests, vibration aging tests, and radiation performance tests. The zero-point output and full-scale output data before, during, and after the test are obtained. The relative errors of the data before, during, and after the test and the relative errors of the fitting slopes before, during, and after the test are calculated to obtain the environmental fusion reliability index.

[0155] Compare the environmental fusion reliability index with the corresponding parameter threshold and calculate the environmental fusion reliability R e .

[0156] Furthermore, the formulas for the relative change of elastic modulus and the relative change of elongation at break are:

[0157]

[0158]

[0159] The material fusion reliability R is calculated based on the comparison between the relative change of elastic modulus and the threshold value of elastic modulus performance parameter of the material, and the relative change of elongation at break and the threshold value of elongation at break performance parameter of the material. m ;include:

[0160] The calculated ΔT and ΔD are compared with the thresholds T of the two performance parameters. T and T D Compare, if it is less than the corresponding threshold, then calculate the material fusion reliability R m ; If it is greater than the corresponding threshold, it is judged that the first-level reliability of the material does not meet the requirements.

[0161] Among them, material fusion reliability R m The formula is:

[0162]

[0163] Among them, a 1 、a 2 is the correction factor for elastic modulus and elongation at break, Q 1 , Q 2 is the weighting factor for elastic modulus and elongation at break.

[0164] Furthermore, the lateral sensitivity S h The formula is:

[0165]

[0166] Among them, U h0 is the initial output voltage, U hi is the sensor output signal of lateral sensitivity detection, i is the detection point sequence number 1, 2…N, N is an integer greater than zero;

[0167] The amplitude linearity calculation formula is:

[0168]

[0169] Where: r is the sensor amplitude linearity, %; U i is the output value of the output signal at the same detection point, V; is the arithmetic mean of the output signal at the same detection point, V; U M is the output voltage of the sensor at full scale, U 0 The output voltage of the sensor at zero point;

[0170] The sensitivity calculation formula is:

[0171]

[0172] Among them, L i is the selected displacement point, i is the detection point sequence number 1, 2…N, N is an integer greater than zero;

[0173] The calculation of the frequency range f includes: using the dynamic reference sensitivity and the deviation factor δ f Calculate the frequency range f;

[0174] The dynamic reference sensitivity calculation formula is:

[0175]

[0176] Where: S d is the dynamic reference sensitivity of the sensor; U is the output value of the sensor; D is the amplitude generated by the vibration table.

[0177] Deviation factor δ f The formula is

[0178]

[0179] Where: f The maximum absolute value of the relative deviation between the sensor sensitivity and the dynamic reference sensitivity, dB; S di is the dynamic sensitivity of the ith frequency point; since the lower frequency limit is 0, δ f The frequency upper limit is when the attenuation is 3dB, which is the frequency range f.

[0180] Furthermore, the lateral sensitivity S h , amplitude linearity δ r , sensitivity S and frequency range f are compared with their respective performance indicators and parameter thresholds, and the functional performance fusion reliability R is calculated. n ;include:

[0181] Calculate the relative change of sensitivity performance parameter ΔS; the calculation formula of ΔS is

[0182]

[0183] The calculated lateral sensitivity S h , amplitude linearity δ r , ΔS and frequency range f are respectively related to threshold T Sh , T L , T S and T f For comparison; if the lateral sensitivity S h , amplitude linearity δ r and ΔS are greater than their respective thresholds T Sh , T L and T S ; or the frequency range f is less than T f , then the functional performance first-level reliability is determined to be unsatisfactory; otherwise, the functional performance fusion reliability R n ;

[0184] The calculation formula of functional performance fusion reliability is:

[0185]

[0186] Among them, a 3 、a 4 、a 5 、a 6 are the correction factors for transverse sensitivity, amplitude linearity, sensitivity and frequency range respectively; Q 3 , Q 4 , Q 5 , Q 6 are the weighting factors for transverse sensitivity, amplitude linearity, sensitivity and frequency range, respectively.

[0187] Furthermore, the eddy current sensor is subjected to temperature and humidity tests, electromagnetic compatibility tests, thermal aging tests, impact tests, vibration aging tests and radiation performance tests, and the zero-point output and full-scale output data before, during and after the test are obtained. The relative errors of the data before, during and after the test and the relative errors of the fitting slopes before, during and after the test are calculated to obtain the environmental fusion reliability index; including:

[0188] The eddy current sensor was subjected to temperature and humidity test, electromagnetic compatibility test and thermal aging test, and the relevant data were measured to obtain the zero point output before, during and after the test as U 0Ti , U 0Ei , U 0Hi , the full-scale output before, during and after the test is U MTi , U MEi , U MHi , where i = 1, 2, 3 ... N, N is a positive integer greater than 1; the relative error of the zero point before, during and after the temperature and humidity, electromagnetic compatibility, and thermal aging tests is expressed as

[0189]

[0190]

[0191]

[0192] Among them, ΔU OT ΔU is the relative error of the zero point before, during and after the temperature and humidity test; OE Zero point relative error before, during and after the electromagnetic compatibility test; ΔU OH Relative error of zero point before, during and after thermal aging test;

[0193] The full-scale relative error before, during and after the temperature and humidity, electromagnetic compatibility, and thermal aging tests is expressed as

[0194]

[0195]

[0196]

[0197] Among them, ΔU MT ΔU is the full-scale relative error before, during and after the temperature and humidity test; ME ΔU is the full-scale relative error before, during and after the electromagnetic compatibility test; MH Full scale relative error before, during and after thermal aging test;

[0198] The relative errors before, during and after the temperature and humidity, electromagnetic compatibility and thermal aging tests are

[0199] ΔU T =max(ΔU 0T ,ΔU MT ) (18)

[0200] ΔU E =max(ΔU 0E ,ΔU ME ) (19)

[0201] ΔU H =max(ΔU 0H ,ΔU MH ) (20)

[0202] Among them, ΔU T ΔU is the relative error before, during and after the temperature and humidity test; E Relative error before, during and after the electromagnetic compatibility test; ΔU H Relative error before, during and after thermal aging test;

[0203] The fitting slope of temperature and humidity, electromagnetic compatibility, and thermal aging tests is expressed as

[0204]

[0205]

[0206]

[0207] Among them, k Ti is the fitting slope of the temperature and humidity test, k Ei is the fitting slope of the electromagnetic compatibility test, k Hi is the fitting slope of the thermal aging test;

[0208] The relative error of the fitting slope before, during and after the temperature and humidity, electromagnetic compatibility and thermal aging tests is expressed as

[0209]

[0210]

[0211]

[0212] Among them, ΔK T is the relative error of the fitting slope before, during and after the temperature and humidity test, ΔK E is the relative error of the fitting slope before, during and after the electromagnetic compatibility test, ΔK H is the relative error of the fitting slope before, during and after the thermal aging test;

[0213] The environmental reliability of the eddy current sensor was tested by impact test, vibration aging test and radiation performance test, and the zero point output before and after the test was obtained as U 0Ii , U 0Vi , U 0Ri , the full-scale output before and after the test is U MIi , U MVi , U MRi ; where i = 1, 2, 3 ... N, N is a positive integer greater than 1; the relative error of the zero point before and after the impact, vibration aging, and radiation performance test is expressed as

[0214]

[0215]

[0216]

[0217] Among them, ΔU OI is the relative error of zero point before and after the impact performance test, ΔU OV is the zero point relative error before and after the vibration aging performance test, ΔU OR is the zero point relative error before and after the irradiation performance test;

[0218] The full-scale relative error before and after the shock, vibration aging, and radiation performance test is expressed as

[0219]

[0220]

[0221]

[0222] Among them, ΔU MI is the full scale relative error before and after the impact performance test, ΔU MV is the full-scale relative error before and after the vibration aging performance test, ΔU MR is the full-scale relative error before and after the irradiation performance test;

[0223] The relative errors before and after the shock, vibration aging and radiation performance tests are

[0224] ΔU I =max(ΔU0I ,ΔU MI ) (33)

[0225] ΔU V =max(ΔU 0V ,ΔU MV ) (34)

[0226] ΔU R =max(ΔU 0R ,ΔU MR ) (35)

[0227] Among them, ΔU I is the relative error before and after the impact performance test, ΔU V is the relative error before and after the vibration aging performance test, ΔU R is the relative error before and after the irradiation performance test;

[0228] The fitting slope of shock, vibration aging and radiation performance test is expressed as

[0229]

[0230]

[0231]

[0232] Among them, k Ii is the impact performance test fitting slope, k Vi is the fitting slope of the vibration aging performance test, k Ri Fitting slope for irradiation performance test;

[0233] The relative error of the fitting slope before and after the shock, vibration aging, and radiation performance tests is expressed as

[0234]

[0235]

[0236]

[0237] Among them, ΔK I is the fitting slope before and after the impact performance test, ΔK V is the fitting slope before and after the vibration aging performance test, ΔK R is the fitting slope before and after the irradiation performance test.

[0238] Furthermore, the environmental fusion reliability index is compared with the corresponding parameter threshold to calculate the environmental fusion reliability R e ;include:

[0239] The calculated relative errors and fitting slope errors of temperature and humidity, electromagnetic compatibility, thermal aging, shock, vibration aging, and irradiation performance tests are compared with the performance parameters of each test and the corresponding thresholds. If the index is greater than the corresponding threshold, it is judged that the first-level reliability of the environment does not meet the requirements; otherwise, the environmental fusion reliability R is obtained. e ;

[0240] Environmental Fusion Reliability e The calculation formula is

[0241]

[0242] Among them, a 7 ~a 12 They are the correction factors for temperature and humidity, electromagnetic compatibility, thermal aging, shock, vibration aging, and radiation performance tests, respectively. 7 ~Q 12 It is the weight factor for temperature and humidity, electromagnetic compatibility, thermal aging, shock, vibration aging, and radiation performance tests.

[0243] Furthermore, the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index are integrated to obtain the comprehensive reliability index of the eddy current sensor; including:

[0244] The comprehensive reliability index R of the eddy current sensor is obtained by integrating the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index. 0 ;

[0245] R 0 The calculation formula is

[0246]

[0247] Where Q 11 , Q 12 , Q 13 They are material fusion reliability weight factor, functional performance fusion reliability weight factor and environmental fusion reliability weight factor respectively;

[0248] The comprehensive reliability index of eddy current sensors of multiple samples is calculated by normal distribution fitting to obtain the reliability characteristic value; including:

[0249] By performing reliability calculation on multiple eddy current sensor samples, multiple groups of R 0 , and then a normal distribution fitting is performed to obtain the mean and variance of the distribution as the reliability characteristic values.

[0250] Exemplarily, the reliability analysis method of the eddy current displacement sensor includes:

[0251] Step 1: Analyze the reliability of the sensitive materials of high-temperature radiation-resistant eddy current sensors, and obtain the elastic modulus T of the material before the test through the material temperature radiation coupling test a , elongation at break D a , elastic modulus after test T b , elongation at break D b , calculate the relative changes of the two performance parameters, compare them with the material performance parameter thresholds, and calculate the material fusion reliability R m .

[0252] Step 2: Analyze the functional performance reliability of the high-temperature radiation-resistant eddy-current sensor, and measure the sample's lateral sensitivity S through test instruments such as displacement static calibration ruler, digital display altimeter, oscilloscope, and DC regulated power supply. h , amplitude linearity L, sensitivity S, and frequency range f.

[0253] Step 3: Compare the calculated function and performance indicators with the parameter thresholds and calculate the function-performance fusion reliability R n .

[0254] Step 4: Analyze the environmental reliability of the high-temperature radiation-resistant eddy-current sensor, and carry out temperature and humidity, electromagnetic compatibility, thermal aging, shock, vibration aging, and radiation performance tests. Before, during, and after the test, use displacement static calibration rulers, digital altimeters, DC regulated power supplies and other test instruments to measure the zero-point output and full-scale output, calculate the relative error before, during, and after the test, and calculate the relative error of the fitting slope before, during, and after the test.

[0255] Step 5: Compare the calculated environmental reliability index with the parameter threshold and calculate the environmental fusion reliability R e .

[0256] Step 6: The calculated material, functional performance and environmental fusion reliability indexes are integrated again to obtain the comprehensive reliability R of the high temperature radiation resistant eddy current sensor. 0 , by R 0 Perform normal distribution fitting calculation to obtain reliability characteristic value The obtained reliability characteristic values ​​are comprehensively analyzed and evaluated.

[0257] The relative change formula of the performance parameters in step 1 is:

[0258]

[0259]

[0260] The calculated ΔT, ΔD and the threshold T of the two performance parameters are T and T DFor comparison, if it is greater than the corresponding threshold, the first-level reliability of the material does not meet the requirements.

[0261] The material fusion reliability R in step 1 m The calculation formula is

[0262]

[0263] where a 1 、a 2 is the correction factor for elastic modulus and elongation at break, Q 1 , Q 2 is the weighting factor for elastic modulus and elongation at break.

[0264] The lateral sensitivity S of step 2 h The analysis method is to install and fix the sensor on the lateral sensitive test fixture under the standard test environment, fix the test piece and the test fixture together on the digital display altimeter, fix the test piece at the center of the full scale from the sensor probe end face, tighten the fixture to ensure that there is no relative displacement between the test piece and the sensor probe end face in the vertical direction when adjusting the digital display altimeter, test after power-on preheating for 10 minutes, and record the initial output voltage U h0 , rotate the transmission handle of the altimeter, adjust the altimeter so that the test piece moves ± half of the full range in the direction parallel to the probe, repeat 3 times, and record the output voltage U of the sensor hi ; The calculation formula for lateral sensitivity is:

[0265]

[0266] Where: U hi is the sensor output signal (V) of lateral sensitivity detection, and i is the detection point sequence (1, 2...6).

[0267] The amplitude linearity L analysis method of step 2 is to install and fix the sensor probe and the simulated metal test piece to be tested on the sample test fixture; adjust the fixture so that the end face of the sensor sample probe is 0.5mm away from the test piece at the starting working point, select 11 displacement detection points within the full range to record the output value of the detection point, and measure the output value U of the sensor at each measurement point in sequence. i and the moving distance L of the sensor i And record, the upper and lower strokes are a measurement cycle, a total of 3 cycles are measured, the amplitude linearity calculation formula is:

[0268]

[0269] Where: r is the sensor amplitude linearity (%); is the arithmetic mean of the output signal at the same detection point, (V); UM is the output voltage of the sensor at full scale, U 0 The output voltage of the sensor at zero point.

[0270] The sensitivity S analysis method of step 2 is to remove the zero point and full-scale data from the above test data, take the data of 9 detection points in the upper and lower strokes as one group, and take 3 groups in total. The sensitivity calculation formula is:

[0271]

[0272] Where: L i is the selected displacement point, i is the detection point sequence number (1, 2…27).

[0273] The frequency range f analysis method of step 2 is to install and fix the sensor on the test fixture, fix the test fixture as a whole on the electric vibration table, power on the sensor with a power supply and use a digital multimeter to monitor the output voltage, select 0Hz, 10Hz, 20Hz, 100Hz, 1000Hz, 2000Hz and other frequency points for frequency range test, and ensure that the amplitude of the vibration table does not exceed half of the full scale, first select the 20Hz frequency point for dynamic reference sensitivity measurement, power on the sensor and monitor the output voltage, read the sensor output voltage 5 times and calculate the arithmetic average as the output value of the sensor at the reference point, the dynamic reference sensitivity calculation formula is:

[0274]

[0275] Where: S d —dynamic reference sensitivity of the sensor;

[0276] U—sensor output value;

[0277] D—The amplitude (displacement value) generated by the vibration table.

[0278] Measure the output value of the sensor at each frequency point except the dynamic reference point in turn, take the average of the readings 5 ​​times at each frequency point as the sensor output value at that frequency point, and calculate the dynamic displacement sensitivity of each point according to the above formula, and then calculate the deviation factor δ f The formula is

[0279]

[0280] Where: f The maximum absolute value of the relative deviation between the sensor sensitivity and the dynamic reference sensitivity (dB);

[0281] S di is the dynamic sensitivity of the ith frequency point.

[0282] Since the lower frequency limit is 0, δf When the attenuation is 3dB, it is the upper frequency limit f, which is the frequency range.

[0283] In step 3, the relative change formula of the sensitivity performance parameter is:

[0284]

[0285] The calculated lateral sensitivity S h , amplitude linearity L, sensitivity ΔS, frequency range f and threshold T of four performance parameters Sh , T L , T S , T f For comparison, if the first three indicators are greater than the corresponding thresholds, or the last indicator is less than the corresponding threshold, the first-level reliability of the functional performance does not meet the requirements.

[0286] The functional performance of step 3 is integrated with the reliability R n The calculation formula is

[0287]

[0288] where a 3 、a 4 、a 5 、a 6 is the correction factor for transverse sensitivity, amplitude linearity, sensitivity, and frequency range, Q 3 , Q 4 , Q 5 , Q 6 is its weight factor.

[0289] The relevant data can be measured in the temperature and humidity, electromagnetic compatibility, and thermal aging tests in step 4. According to the above calculation method, the zero-point output before, during, and after the test can be obtained as U 0Ti , U 0Ei , U 0Hi (i=1,2,3), the full-scale output before, during and after the test is U MTi , U MEi , U MHi (i=1,2,3), the relative error of zero point before, during and after temperature and humidity, electromagnetic compatibility and thermal aging test is expressed as

[0290]

[0291]

[0292]

[0293] The full-scale relative error before, during and after the temperature and humidity, electromagnetic compatibility, and thermal aging tests is expressed as

[0294]

[0295]

[0296]

[0297] The relative errors before, during and after the temperature and humidity, electromagnetic compatibility and thermal aging tests are

[0298] ΔU T =max(ΔU 0T ,ΔU MT )

[0299] ΔU E =max(ΔU 0E ,ΔU ME )

[0300] ΔU H =max(ΔU 0H ,ΔU MH )

[0301] The fitting slope of temperature and humidity, electromagnetic compatibility, and thermal aging test in step 4 is expressed as:

[0302]

[0303]

[0304]

[0305] The relative error of the fitting slope before, during and after the temperature and humidity, electromagnetic compatibility and thermal aging tests is expressed as

[0306]

[0307]

[0308]

[0309] The relevant data cannot be measured in the impact, vibration aging and radiation performance tests in step 4. According to the above calculation method, the zero-point output before and after the test can be obtained as U 0Ii , U 0Vi , U 0Ri (i=1,2), the full-scale output before and after the test is U MIi , U MVi , U MRi (i=1,2), the relative error of zero point before and after the shock, vibration aging and radiation performance test is expressed as

[0310]

[0311]

[0312]

[0313] The full-scale relative error before and after the shock, vibration aging, and radiation performance test is expressed as

[0314]

[0315]

[0316]

[0317] The relative errors before and after the shock, vibration aging and radiation performance tests are

[0318] ΔU I =max(ΔU 0I ,ΔU MI )

[0319] ΔU V =max(ΔU 0V ,ΔU MV )

[0320] ΔU R =max(ΔU 0R ,ΔU MR )

[0321] The fitting slope of step 4 shock, vibration aging, and radiation performance test is expressed as:

[0322]

[0323]

[0324]

[0325] The relative error of the fitting slope before and after the shock, vibration aging, and radiation performance tests is expressed as

[0326]

[0327]

[0328]

[0329] In step 5, the calculated relative error ΔU of temperature and humidity, electromagnetic compatibility, thermal aging, shock, vibration aging, and radiation performance tests is x , fitting slope error Δk x With 6 tests, 2 performance parameters per test for a total of 12 thresholds T Ux, T kx Compare the two. If the indicator is greater than the corresponding threshold, the first-level reliability of the environment does not meet the requirements.

[0330] The environmental fusion reliability R in step 5 e The calculation formula is

[0331]

[0332] where a 7 ~a 12 They are the correction factors for temperature and humidity, electromagnetic compatibility, thermal aging, shock, vibration aging, and radiation performance tests, respectively. 7 ~Q 12 is its weight factor.

[0333] The comprehensive reliability R of the high temperature radiation resistant eddy current sensor in step 6 is 0 The calculation formula is

[0334]

[0335] Where Q 11 , Q 12 , Q 13 It is the weight factor of material fusion reliability, functional performance fusion reliability and environmental fusion reliability.

[0336] The reliability characteristic values ​​of step 6 are obtained by performing reliability calculations on multiple high-temperature radiation-resistant eddy current sensor samples to obtain multiple groups of R 0 , and then a normal distribution fitting is performed to obtain the mean and variance of the distribution as the reliability characteristic values.

[0337] The comprehensive analysis in step 6 mainly includes two types: self-analysis and analysis and comparison of similar foreign products. Self-analysis uses the obtained reliability characteristic value to perform error calculation with the mean value of 1 and the variance of 0 representing the reliability limit. Similar foreign products are compared horizontally by obtaining the reliability characteristic value through the method of the present invention.

[0338] Experimental example

[0339] refer to Figure 3 As shown in the figure, the expected technical indicators of a high temperature radiation resistant eddy current displacement sensor are determined, with a measurement range of 2 mm and a lateral sensitivity S h <3%, amplitude linearity L<10%, sensitivity S=4V / mm, frequency range f:0~1000Hz, temperature range -60℃~120℃, irradiation dose 4.4×10 6 rad, as the qualification criterion and basic test condition for high temperature radiation resistant eddy current displacement sensor.

[0340] Based on the determined measuring range of 2mm, the 11 displacement detection points within the full range are determined as follows: 0mm, 0.2mm, 0.4mm, 0.6mm, 0.8mm, 1.0mm, 1.2mm, 1.4mm, 1.6mm, 1.8mm, and 2.0mm, among which the starting working point is the 0.5mm position and the actual position is 0.5mm~2.5mm.

[0341] According to the above conditions, determine the output voltage U of the sensor at full scale M The standard value of the output voltage working with the sensor zero point, for example, (+9.5±0.5)V and (+1.5±0.1)V within the 10V acquisition range can be selected.

[0342] According to the method steps of the present invention, various reliability performance indicators of the high-temperature radiation-resistant eddy-current sensor are calculated and obtained, and compared with various threshold performance indicators to obtain reliability analysis results.

[0343] Based on the results of reliability analysis, it is determined whether the high-temperature radiation-resistant eddy current sensor meets the application requirements of the nuclear reactor. In addition, based on the quantitative reliability indicators and calculation analysis results, in-depth analysis can be conducted on samples with insufficient reliability to improve the relevant design and improve its reliability.

[0344] In a second aspect, an embodiment of the present invention provides a reliability analysis system for an eddy current displacement sensor, referring to Figure 2 As shown, including:

[0345] A material fusion reliability index acquisition unit is used to analyze the reliability of the sensitive material of the eddy current sensor and obtain a material fusion reliability index;

[0346] A functional performance fusion reliability index acquisition unit is used to analyze the functional performance reliability of the eddy current sensor and obtain a functional performance fusion reliability index;

[0347] An environmental fusion reliability index acquisition unit is used to analyze the environmental reliability of the eddy current sensor and obtain an environmental fusion reliability index;

[0348] An index fusion unit, used to fuse the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index to obtain a comprehensive reliability index of the eddy current sensor;

[0349] A fitting calculation unit, used for performing normal distribution fitting calculation on the comprehensive reliability index of eddy current sensors of multiple samples to obtain reliability characteristic values; and

[0350] The analysis unit is used to analyze the reliability of the eddy current displacement sensor according to the reliability characteristic value.

[0351] Therefore, the embodiment of the present invention realizes the quantification of various performance indicators of sensor reliability by selecting and processing various key data generated during the development of high-temperature radiation-resistant eddy current sensors. By comparing with the set thresholds, it can simply and intuitively reflect whether the high-temperature radiation-resistant eddy current displacement sensor meets the use standards of nuclear reactors, and can conduct in-depth analysis of samples with insufficient reliability based on the quantified reliability indicators and calculation and analysis results to improve the relevant design and improve its reliability; thereby, the accuracy of monitoring key equipment of nuclear reactors is further improved, and the safety and economy of nuclear reactors are enhanced.

[0352] The specific implementation methods described above further illustrate the objectives, technical solutions and beneficial effects of the present invention in detail. It should be understood that the above description is only a specific implementation method of the present invention and is not intended to limit the scope of protection of the present invention. Any modifications, equivalent substitutions, improvements, etc. made within the spirit and principles of the present invention should be included in the scope of protection of the present invention.

Claims

1. A reliability analysis method for an eddy current displacement sensor, characterized in that: include: Analyze the reliability of sensitive materials of eddy current sensors and obtain material fusion reliability indicators; Analyze the functional performance reliability of eddy current sensors and obtain the functional performance fusion reliability index; The environmental reliability of eddy current sensors is analyzed to obtain the environmental fusion reliability index; The comprehensive reliability index of eddy current sensor is obtained by integrating the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index. The comprehensive reliability index of eddy current sensors of multiple samples is calculated by normal distribution fitting to obtain the reliability characteristic value; Analyze the reliability of eddy current displacement sensor based on reliability characteristic value; Among them, the reliability of the sensitive materials of the eddy current sensor is analyzed to obtain the material fusion reliability index; including: Obtain the elastic modulus T of the material before the test through the material temperature radiation coupling test a and elongation at break D a , elastic modulus after test T b and elongation at break D b ; According to the elastic modulus T before the test a and elastic modulus after test T b Calculate the relative change in elastic modulus; According to the elongation at break before the test D a And the elongation at break after the test D b Calculate the relative change in elongation at break; The material fusion reliability R is calculated based on the comparison between the relative change of elastic modulus and the threshold value of elastic modulus performance parameter of the material, and the relative change of elongation at break and the threshold value of elongation at break performance parameter of the material. m ; Among them, the functional performance reliability of the eddy current sensor is analyzed to obtain the functional performance fusion reliability index; including: The functional performance reliability of the eddy current sensor is analyzed, and the lateral sensitivity S is obtained. h , amplitude linearity δ r , sensitivity S and frequency range f; The lateral sensitivity S h , amplitude linearity δ r , sensitivity S and frequency range f are compared with their respective performance indicators and parameter thresholds, and the functional performance fusion reliability R is calculated. n ; Among them, the environmental reliability of the eddy current sensor is analyzed to obtain the environmental fusion reliability index; including: The eddy current sensor is subjected to temperature and humidity tests, electromagnetic compatibility tests, thermal aging tests, impact tests, vibration aging tests, and radiation performance tests. The zero-point output and full-scale output data before, during, and after the test are obtained. The relative errors of the data before, during, and after the test and the relative errors of the fitting slopes before, during, and after the test are calculated to obtain the environmental fusion reliability index. Compare the environmental fusion reliability index with the corresponding parameter threshold and calculate the environmental fusion reliability R e ; Among them, the comprehensive reliability index of the eddy current sensor is obtained by integrating the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index; including: The comprehensive reliability R0 of the eddy current sensor is obtained by integrating the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index; The formula for calculating R0 is: Where Q 11 , Q 12 , Q 13 They are material fusion reliability weight factor, functional performance fusion reliability weight factor and environmental fusion reliability weight factor respectively; The comprehensive reliability index of eddy current sensors of multiple samples is calculated by normal distribution fitting to obtain the reliability characteristic value; including: Multiple groups of R0 are obtained by performing reliability calculation on multiple eddy current sensor samples, and then normal distribution fitting is performed to obtain the mean and variance of the distribution as reliability characteristic values.

2. The reliability analysis method of eddy current displacement sensor according to claim 1, characterized in that: The formulas for the relative change of elastic modulus and the relative change of elongation at break are: The material fusion reliability R is calculated based on the comparison between the relative change of elastic modulus and the threshold value of elastic modulus performance parameter of the material, and the relative change of elongation at break and the threshold value of elongation at break performance parameter of the material. m ; include: The calculated ΔT and ΔD are compared with the thresholds T of the two performance parameters. T and T D Compare, if it is less than the corresponding threshold, then calculate the material fusion reliability R m ; If it is greater than the corresponding threshold, it is determined that the first-level reliability of the material does not meet the requirements; Among them, material fusion reliability R m The formula is: Among them, a1 and a2 are correction factors of elastic modulus and elongation at break, and Q1 and Q2 are weight factors of elastic modulus and elongation at break.

3. The reliability analysis method of eddy current displacement sensor according to claim 1, characterized in that: Lateral sensitivity S h The formula is: Among them, U h0 is the initial output voltage, U hi is the sensor output signal of lateral sensitivity detection, i is the detection point sequence number 1, 2…N, N is an integer greater than zero; The amplitude linearity calculation formula is: Where: r is the sensor amplitude linearity, %; U i is the output value of the output signal at the same detection point, V; is the arithmetic mean of the output signal at the same detection point, V; U M is the output voltage of the sensor at full scale, and U0 is the output voltage of the sensor at zero point; The sensitivity calculation formula is: Among them, L i is the selected displacement point, i is the detection point sequence number 1, 2…N, N is an integer greater than zero; The calculation of the frequency range f includes: using the dynamic reference sensitivity and the deviation factor δ f Calculate the frequency range f; The dynamic reference sensitivity calculation formula is: Where: S d is the dynamic reference sensitivity of the sensor; U is the output value of the sensor; D is the amplitude generated by the vibration table; Deviation factor δ f The formula is Where: f The maximum absolute value of the relative deviation between the sensor sensitivity and the dynamic reference sensitivity, dB; S di is the dynamic sensitivity of the ith frequency point; since the lower frequency limit is 0, δ f The frequency upper limit is when the attenuation is 3dB, which is the frequency range f.

4. The reliability analysis method of eddy current displacement sensor according to claim 3, characterized in that: The lateral sensitivity S h , amplitude linearity δ r , sensitivity S and frequency range f are compared with their respective performance indicators and parameter thresholds, and the functional performance fusion reliability R is calculated. n ;include: Calculate the relative change of sensitivity performance parameter ΔS; the calculation formula of ΔS is The calculated lateral sensitivity S h , amplitude linearity δ r , ΔS and frequency range f are respectively related to threshold T Sh 、T L 、T S and T f For comparison; if the lateral sensitivity S h , amplitude linearity δ r and ΔS are greater than their respective thresholds T Sh 、T L and T S ; or the frequency range f is less than T f , then the functional performance first-level reliability is determined to be unsatisfactory; otherwise, the functional performance fusion reliability R n ; The calculation formula of functional performance fusion reliability is: Among them, a3, a4, a5, and a6 are correction factors for lateral sensitivity, amplitude linearity, sensitivity, and frequency range, respectively; Q3, Q4, Q5, and Q6 are weight factors for lateral sensitivity, amplitude linearity, sensitivity, and frequency range, respectively.

5. The reliability analysis method of eddy current displacement sensor according to claim 1, characterized in that: The eddy current sensor is subjected to temperature and humidity test, electromagnetic compatibility test, thermal aging test, impact test, vibration aging test and radiation performance test, and the zero-point output and full-scale output data before, during and after the test are obtained. The relative error of each data before, during and after the test and the relative error of the fitting slope before, during and after the test are calculated to obtain the environmental fusion reliability index; including: The eddy current sensor was subjected to temperature and humidity test, electromagnetic compatibility test and thermal aging test, and the relevant data were measured to obtain the zero point output before, during and after the test as U 0Ti , U 0Ei , U 0Hi , the full-scale output before, during and after the test is U MTi , U MEi , U MHi , where i = 1, 2, 3 ... N, N is a positive integer greater than 1; the relative error of the zero point before, during and after the temperature and humidity, electromagnetic compatibility, and thermal aging tests is expressed as Among them, ΔU OT ΔU is the relative error of the zero point before, during and after the temperature and humidity test; OE Zero point relative error before, during and after the electromagnetic compatibility test; ΔU OH Relative error of zero point before, during and after thermal aging test; The full-scale relative error before, during and after the temperature and humidity, electromagnetic compatibility, and thermal aging tests is expressed as Among them, ΔU MT ΔU is the full-scale relative error before, during and after the temperature and humidity test; ME ΔU is the full-scale relative error before, during and after the electromagnetic compatibility test; MH Full scale relative error before, during and after thermal aging test; The relative errors before, during and after the temperature and humidity, electromagnetic compatibility and thermal aging tests are ΔU T =max(ΔU 0T ,ΔU MT ) (18) ΔU E =max(ΔU 0E ,ΔU ME ) (19) ΔU H =max(ΔU 0H ,ΔU MH ) (20) Among them, ΔU T ΔU is the relative error before, during and after the temperature and humidity test; E Relative error before, during and after the electromagnetic compatibility test; ΔU H Relative error before, during and after thermal aging test; The fitting slope of temperature and humidity, electromagnetic compatibility, and thermal aging tests is expressed as Among them, k Ti is the fitting slope of the temperature and humidity test, k Ei is the fitting slope of the electromagnetic compatibility test, k Hi is the fitting slope of the thermal aging test; The relative error of the fitting slope before, during and after the temperature and humidity, electromagnetic compatibility and thermal aging tests is expressed as Among them, ΔK T is the relative error of the fitting slope before, during and after the temperature and humidity test, ΔK E is the relative error of the fitting slope before, during and after the electromagnetic compatibility test, ΔK H is the relative error of the fitting slope before, during and after the thermal aging test; The environmental reliability of the eddy current sensor was tested by impact test, vibration aging test and radiation performance test, and the zero point output before and after the test was obtained as U 0Ii , U 0Vi , U 0Ri , the full-scale output before and after the test is U MIi , U MVi , U MRi ; where i = 1, 2, 3 ... N, N is a positive integer greater than 1; the relative error of the zero point before and after the impact, vibration aging, and radiation performance test is expressed as Among them, ΔU OI is the relative error of zero point before and after the impact performance test, ΔU OV is the zero point relative error before and after the vibration aging performance test, ΔU OR is the zero point relative error before and after the irradiation performance test; The full-scale relative error before and after the shock, vibration aging, and radiation performance test is expressed as Among them, ΔU MI is the full scale relative error before and after the impact performance test, ΔU MV is the full-scale relative error before and after the vibration aging performance test, ΔU MR is the full-scale relative error before and after the irradiation performance test; The relative errors before and after the shock, vibration aging and radiation performance tests are ΔU I =max(ΔU 0I ,ΔU MI ) (33) ΔU V =max(ΔU 0V ,ΔU MV ) (34) ΔU R =max(ΔU 0R ,ΔU MR ) (35) Among them, ΔU I is the relative error before and after the impact performance test, ΔU V is the relative error before and after the vibration aging performance test, ΔU R is the relative error before and after the irradiation performance test; The fitting slope of shock, vibration aging and radiation performance test is expressed as Among them, k Ii is the impact performance test fitting slope, k Vi is the fitting slope of the vibration aging performance test, k Ri Fitting slope for irradiation performance test; The relative error of the fitting slope before and after the shock, vibration aging, and radiation performance tests is expressed as Among them, ΔK I is the fitting slope before and after the impact performance test, ΔK V is the fitting slope before and after the vibration aging performance test, ΔK R is the fitting slope before and after the irradiation performance test.

6. The reliability analysis method of eddy current displacement sensor according to claim 5, characterized in that: Compare the environmental fusion reliability index with the corresponding parameter threshold and calculate the environmental fusion reliability R e ;include: The calculated relative errors and fitting slope errors of temperature and humidity, electromagnetic compatibility, thermal aging, shock, vibration aging, and irradiation performance tests are compared with the performance parameters of each test and the corresponding thresholds. If the index is greater than the corresponding threshold, it is judged that the first-level reliability of the environment does not meet the requirements; otherwise, the environmental fusion reliability R is obtained. e ; Environmental Fusion Reliability e The calculation formula is Among them, a7~a 12 They are the correction factors for temperature and humidity, electromagnetic compatibility, thermal aging, shock, vibration aging, and radiation performance tests, Q7~Q 12 It is the weight factor for temperature and humidity, electromagnetic compatibility, thermal aging, shock, vibration aging, and radiation performance tests.

7. An eddy current displacement sensor reliability analysis system, characterized in that: The system is used to implement the reliability analysis method of the eddy current displacement sensor according to any one of claims 1 to 6, comprising: A material fusion reliability index acquisition unit is used to analyze the reliability of the sensitive material of the eddy current sensor and obtain a material fusion reliability index; A functional performance fusion reliability index acquisition unit is used to analyze the functional performance reliability of the eddy current sensor and obtain a functional performance fusion reliability index; An environmental fusion reliability index acquisition unit is used to analyze the environmental reliability of the eddy current sensor and obtain an environmental fusion reliability index; An index fusion unit, used to fuse the material fusion reliability index, the functional performance fusion reliability index and the environmental fusion reliability index to obtain a comprehensive reliability index of the eddy current sensor; A fitting calculation unit, used for performing normal distribution fitting calculation on the comprehensive reliability index of eddy current sensors of multiple samples to obtain reliability characteristic values; and The analysis unit is used to analyze the reliability of the eddy current displacement sensor according to the reliability characteristic value.

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