CN115935675A - Aluminum electrolytic capacitor life rapid prediction method based on failure physical analysis - Google Patents
Aluminum electrolytic capacitor life rapid prediction method based on failure physical analysis Download PDFInfo
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Abstract
The invention discloses a method for rapidly predicting the service life of an aluminum electrolytic capacitor based on failure physical analysis, which comprises the following steps: analyzing the failure mechanism of the aluminum electrolytic capacitor, and determining the performance degradation parameters of the aluminum electrolytic capacitor by combining with the accelerated performance degradation test data; determining Weibull distribution parameter estimation based on the performance degradation parameters of the aluminum electrolytic capacitor to obtain a performance degradation model and an acceleration model; and calculating the reliability based on the performance degradation model, the acceleration model and the parameter failure threshold value to realize the prediction of the service life of the aluminum electrolytic capacitor. According to the method, the performance degradation parameters are determined by analyzing the mechanism of the product and combining with the accelerated performance degradation test data, a degradation model and an accelerated model are established for the key performance degradation parameters, the model parameters of the degradation model and the accelerated model are obtained, the service life of the product in the normal service environment is obtained by extrapolation, and the accuracy and the speed of the service life prediction of the aluminum electrolytic capacitor are improved.
Description
Technical Field
The invention relates to the technical field of aluminum electrolytic capacitor life prediction, in particular to a method for rapidly predicting the life of an aluminum electrolytic capacitor based on failure physical analysis.
Background
The aluminum electrolytic capacitor has the characteristics of high capacity, high voltage resistance, high cost performance and the like, and is widely applied to various high-power occasions, and particularly in a power electronic system, the performance and the index of the aluminum electrolytic capacitor directly influence the performance of the whole system. The aluminum electrolytic capacitor is very sensitive to environmental stress, and compared with components such as resistors, transistors and the like, the aluminum electrolytic capacitor has higher failure rate according to the statistics of the failure condition of a field power electronic system, and is considered as a life-span sensitive device in the power electronic system. Therefore, it is of great significance to estimate the service life. However, as the technological level of the aluminum electrolytic capacitor is improved, the reliability level is improved, the service life is prolonged, and the aluminum electrolytic capacitor is difficult to fail in a short time even in an accelerated life test, so that the traditional reliability evaluation method is difficult to meet the timeliness requirement of product development and has overhigh test cost.
The failure of the aluminum electrolytic capacitor is mainly caused by the degradation of certain performance indexes, the performance degradation process of the aluminum electrolytic capacitor can be effectively monitored and statistically analyzed, reliability information can be deduced without product failure, certain stress levels are improved, and the degradation failure process of the aluminum electrolytic capacitor can be accelerated.
The continuous progress of the accelerated degradation test technology leads to the fact that accelerated degradation data obtained in the test are gradually complex, and the modeling and statistical inference theory of the accelerated degradation data are promoted to be continuously perfected and developed. However, the reliability evaluation method based on accelerated degradation data lacks deep analysis, and the current modeling basis of accelerated degradation data is not uniform and is full of subjective colors, so that the reliability of the reliability evaluation result is low.
Therefore, how to provide a method for rapidly predicting the service life of an aluminum electrolytic capacitor based on failure physical analysis is a problem that needs to be solved urgently by those skilled in the art.
Disclosure of Invention
In view of the above, the invention provides a method for rapidly predicting the service life of an aluminum electrolytic capacitor based on failure physical analysis, which can accurately and rapidly estimate the service life of the aluminum electrolytic capacitor, and can deduce the reliability information of a product in advance without product failure.
In order to achieve the purpose, the invention adopts the following technical scheme:
a method for rapidly predicting the service life of an aluminum electrolytic capacitor based on failure physical analysis comprises the following steps:
analyzing the failure mechanism of the aluminum electrolytic capacitor, and determining the performance degradation parameters of the aluminum electrolytic capacitor by combining with the accelerated performance degradation test data;
determining Weibull distribution parameter estimation based on the performance degradation parameters of the aluminum electrolytic capacitor to obtain a performance degradation model and an acceleration model;
and calculating the reliability based on the performance degradation model, the acceleration model and the parameter failure threshold value to realize the service life prediction of the aluminum electrolytic capacitor.
Preferably, the performance degradation model includes a shape parameter degradation model and a scale parameter degradation model.
Preferably, the scale parameter degradation model comprises a linear model, a logarithmic model and an exponential model;
the linear model is:
η y (t)=Kt+b
the logarithmic model is:
η y (t)=Klnt+b
the exponential model is:
η y (t)=b·e Kt
wherein eta is y (t) represents a scale parameter, K represents a performance degradation rate, and is temperature dependent, t represents time, and b is a constant.
Preferably, an acceleration model is established by using the performance degradation rates at different temperatures, wherein the acceleration model is as follows:
wherein, the first and the second end of the pipe are connected with each other,k represents the performance degradation rate, A is a non-temperature dependent constant, K is a Boltzmann constant, and K is 8.62 × 10 -5 eV/K, T being the thermodynamic temperature, E a For the activation energy of the reaction, B representsAnd (4) counting.
Preferably, the first and second electrodes are formed of a metal,
setting the performance degradation parameter value as y, when y is less than or equal to D f The relationship between reliability and performance degradation distribution is:
when y is more than or equal to D f Then, the relationship between the reliability and the performance degradation distribution is as follows:
wherein R (t) represents the reliability, D f Indicating a parameter failure threshold, η y (t) denotes a scale parameter, m y (t) represents a shape parameter.
Preferably, the performance degradation parameters of the aluminum electrolytic capacitor include capacitance, loss tangent, equivalent series resistance and leakage current.
According to the technical scheme, compared with the prior art, the method for rapidly predicting the service life of the aluminum electrolytic capacitor based on the failure physical analysis can accurately and rapidly evaluate the service life of the aluminum electrolytic capacitor.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the provided drawings without creative efforts.
FIG. 1 is a flow chart of a method for rapidly predicting the service life of an aluminum electrolytic capacitor based on failure physical analysis.
FIG. 2 is a graph showing the degradation curve of loss tangent at 85 ℃ for 35 samples, wherein the curves of different colors represent the degradation curves of loss tangent for different samples.
FIG. 3 is a graph showing the degradation curve of the loss tangent at 105 ℃ for 35 samples, wherein the curves of different colors represent the degradation curves of the loss tangent for the different samples.
FIG. 4 is a graph showing the degradation curve of the loss tangent at 125 ℃ for 35 samples, wherein the curves of different colors represent the degradation curves of the loss tangent for the different samples.
FIG. 5 is a graph showing a 60 ℃ reliability curve.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The embodiment of the invention discloses a method for rapidly predicting the service life of an aluminum electrolytic capacitor based on failure physical analysis, which comprises the following steps of:
analyzing the failure mechanism of the aluminum electrolytic capacitor, and determining the performance degradation parameters of the aluminum electrolytic capacitor by combining with the accelerated performance degradation test data;
determining Weibull distribution parameter estimation based on performance degradation parameters of the aluminum electrolytic capacitor to obtain a performance degradation model and an acceleration model;
and calculating the reliability based on the performance degradation model, the acceleration model and the parameter failure threshold value to realize the prediction of the service life of the aluminum electrolytic capacitor.
In this embodiment, the main performance degradation parameters of the aluminum electrolytic capacitor are capacitance, loss tangent value, equivalent series resistance, and leakage current, and the temperature is the main stress affecting the degradation, the performance of the aluminum electrolytic capacitor mainly depends on the medium part, i.e. the anode metal oxide film part, and the main failure mechanism is that the electrolyte continuously repairs the anode metal oxide film to thicken the anode metal oxide film and reduce the quality, which results in the reduction of capacitance, the increase of equivalent series resistance, and the increase of loss tangent value.
In this embodiment, a weibull distribution parameter estimation is determined based on a performance degradation parameter of an aluminum electrolytic capacitor to obtain a performance degradation model, the performance degradation model includes a shape parameter degradation model and a scale parameter degradation model, the shape parameter is generally irrelevant to time, and the scale parameter degradation model is obtained by modeling and solving with the scale parameter as a function of time. Common scale parameters vary over time modeled as linear models, logarithmic models, exponential models, and the like.
Linear model:
η y (t)=Kt+b (1)
logarithmic model:
η y (t)=Klnt+b (2)
an index model:
η y (t)=b·e Kt (3)
k in the formula (1), the formula (2) and the formula (3) is a degradation rate and is dependent on temperature, and an Arrhenius model is selected as an accelerated lifetime model. The concrete model is as follows:
wherein K is a performance degradation rate, A is a non-temperature dependent constant, and K is a Boltzmann constant (8.62X 10) -5 eV/K), T is thermodynamic temperature (K), E a Is the reaction activation energy (eV).
Taking logarithm of two sides of the formula (4) to obtain
in this embodiment, the degradation of the aluminum electrolytic capacitor performance follows the shape parameter m y (t), a scale parameter η y (t) Weibull distribution as criterion for product failureIs y is less than or equal to D f The relationship between the reliability and the performance degradation distribution is shown in formula 6.
When the failure criterion is that y is more than or equal to D f The relationship between the reliability and the performance degradation distribution is shown in formula 7.
The process of the invention is further illustrated below by means of a specific example:
a certain aluminum electrolytic capacitor is subjected to a high-temperature accelerated degradation performance test, the applied accelerated stress level is 85 ℃, 105 ℃ and 125 ℃, the monitored performance parameter is a loss tangent value, and the original data obtained by the test are shown in figures 2-4.
The results of estimating the weibull distribution parameters of the loss tangent values at the respective measurement times under the respective temperature stresses are shown in table 1.
TABLE 1 estimation results of parameters of Weibull distribution of loss tangent values
Through analysis, the linear model is suitable for the degradation model of the scale parameter eta under each stress level, the shape parameter m is the mean value of the estimated values at all times, and the degradation model and the m value of the eta under each stress level are shown in the table 2.
TABLE 2 degradation model and m values of η at various stress levels
Temperature (. Degree.C.) | Eta degradation model | Value of m |
85 | η 1 (t)=1.93×10 -4 t+3.41 | 59.94 |
105 | η 2 (t)=2.70×10 -4 t+3.41 | 42.89 |
125 | η 3 (t)=7.27×10 -4 t+3.41 | 23.43 |
As can be seen from table 2, since the weibull parameter η degradation model has the same intercept, 3.41 is taken, and the slope of η degradation model and the value of parameter m are strongly correlated with the temperature, and are substituted into equation 5 to obtain the acceleration equation and the correlation coefficient, as shown in table 3.
TABLE 3 acceleration equation for slope and m values of Weibull parameter η degradation model
As can be seen from the specification, the loss tangent failure threshold is 20%, D f If the degradation trend is an increasing trend, the use reliability function of the aluminum electrolytic capacitor is obtained from equation 7. Therefore, the reliability function expression of the aluminum electrolytic capacitor at the use temperature of 60 ℃ is
The reliability curve at 60 ℃ is obtained as shown in FIG. 5.
In the present specification, the embodiments are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other. The device disclosed in the embodiment corresponds to the method disclosed in the embodiment, so that the description is simple, and the relevant points can be referred to the description of the method part.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
Claims (6)
1. A method for rapidly predicting the service life of an aluminum electrolytic capacitor based on failure physical analysis is characterized by comprising the following steps:
analyzing the failure mechanism of the aluminum electrolytic capacitor, and determining the performance degradation parameters of the aluminum electrolytic capacitor by combining with the accelerated performance degradation test data;
determining Weibull distribution parameter estimation based on the performance degradation parameters of the aluminum electrolytic capacitor to obtain a performance degradation model and an acceleration model;
and calculating the reliability based on the performance degradation model, the acceleration model and the parameter failure threshold value to realize the service life prediction of the aluminum electrolytic capacitor.
2. The method for rapidly predicting the service life of the aluminum electrolytic capacitor based on the failure physical analysis as claimed in claim 1, wherein the performance degradation model comprises a shape parameter degradation model and a scale parameter degradation model.
3. The method for rapidly predicting the service life of the aluminum electrolytic capacitor based on the failure physical analysis as claimed in claim 2, wherein the scale parameter degradation model comprises a linear model, a logarithmic model and an exponential model;
the linear model is:
η y (t)=Kt+b
the logarithmic model is:
η y (t)=Klnt+b
the exponential model is:
η y (t)=b·e Kt
wherein eta is y (t) represents a scale parameter, K represents a performance degradation rate, and is temperature dependent, t represents time, and b is a constant.
4. The method for rapidly predicting the service life of the aluminum electrolytic capacitor based on the failure physical analysis as claimed in claim 1, wherein an acceleration model is established by using the performance degradation rates at different temperatures, and the acceleration model is as follows:
wherein the content of the first and second substances,k represents the performance degradation rate, A is a non-temperature dependent constant, K is a Boltzmann constant, and K is 8.62 × 10 -5 eV/K, T being the thermodynamic temperature, E a B represents a constant as the reaction activation energy.
5. The method for rapidly predicting the service life of the aluminum electrolytic capacitor based on the failure physical analysis according to claim 1,
let the performance degradation parameter value of the aluminum electrolytic capacitor be y when≤D f The relationship between reliability and performance degradation distribution is:
when y is more than or equal to D f The relationship between reliability and performance degradation distribution is as follows:
wherein R (t) represents reliability, D f Indicating a parameter failure threshold, η y (t) denotes a scale parameter, m y (t) represents a shape parameter.
6. The method for rapidly predicting the service life of the aluminum electrolytic capacitor based on the failure physical analysis as claimed in claim 1, wherein the performance degradation parameters of the aluminum electrolytic capacitor comprise capacitance, loss tangent, equivalent series resistance and leakage current.
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