CN114065548B - Method for predicting sealing life of battery pack box cover - Google Patents
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- 238000007789 sealing Methods 0.000 title claims abstract description 36
- 238000000034 method Methods 0.000 title claims abstract description 26
- VYPSYNLAJGMNEJ-UHFFFAOYSA-N Silicium dioxide Chemical compound O=[Si]=O VYPSYNLAJGMNEJ-UHFFFAOYSA-N 0.000 claims abstract description 142
- 239000006260 foam Substances 0.000 claims abstract description 138
- 239000000741 silica gel Substances 0.000 claims abstract description 138
- 229910002027 silica gel Inorganic materials 0.000 claims abstract description 138
- 230000032683 aging Effects 0.000 claims abstract description 78
- 238000012360 testing method Methods 0.000 claims abstract description 74
- 238000004519 manufacturing process Methods 0.000 claims abstract description 7
- 230000006835 compression Effects 0.000 claims description 62
- 238000007906 compression Methods 0.000 claims description 62
- 230000035882 stress Effects 0.000 claims description 50
- 238000004364 calculation method Methods 0.000 claims description 12
- 238000006243 chemical reaction Methods 0.000 claims description 10
- 238000011084 recovery Methods 0.000 claims description 10
- 238000005315 distribution function Methods 0.000 claims description 9
- 239000000463 material Substances 0.000 claims description 9
- 230000004913 activation Effects 0.000 claims description 8
- 230000001105 regulatory effect Effects 0.000 claims description 2
- 239000000758 substrate Substances 0.000 claims 1
- 238000004458 analytical method Methods 0.000 description 3
- 230000006837 decompression Effects 0.000 description 2
- 238000005259 measurement Methods 0.000 description 2
- 238000004445 quantitative analysis Methods 0.000 description 2
- 238000011158 quantitative evaluation Methods 0.000 description 2
- 239000003566 sealing material Substances 0.000 description 2
- 238000004088 simulation Methods 0.000 description 2
- 230000001133 acceleration Effects 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000013461 design Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000011156 evaluation Methods 0.000 description 1
- 230000004438 eyesight Effects 0.000 description 1
- 238000013178 mathematical model Methods 0.000 description 1
- 238000010998 test method Methods 0.000 description 1
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- G06F2119/04—Ageing analysis or optimisation against ageing
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- G—PHYSICS
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
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Abstract
The invention provides a method for calculating the sealing life of a battery pack box cover, which comprises the following steps: manufacturing a plurality of silica gel foam samples; performing a temperature aging test on the silica gel foam sample; and predicting the sealing reliability life of the silica gel foam sample.
Description
Technical Field
The invention belongs to the field of automobile parts, and particularly relates to a method for calculating the sealing reliability life of a battery pack box cover.
Background
At present, the battery inclusion seal for the electric automobile is mainly realized by means of silica gel foam, a box cover is connected through a fastening bolt, and the silica gel foam is compressed and then is attached to a cover interface to form a seal interface, so that a seal function is realized. The industry generally adopts a test method of double 85, namely 85 ℃,85% RH and 1000 hours to evaluate the material performance, but quantitative evaluation analysis of the material performance cannot be performed. Aiming at the requirements of high reliability and long service life of a power battery system, a quantitative analysis method is needed to evaluate the reliability of a sealing material, so as to guide material type selection, sealing design and service life evaluation.
Disclosure of Invention
Based on the technical problems existing in the background technology, the invention provides a reliable life prediction method of a battery pack box cover sealing material based on a reliability theory and life prediction methodology, and the method can analyze the sealing performance of a battery pack in the service life.
In order to achieve the above-mentioned eyesight improving effect, the invention adopts the following technical scheme:
The invention provides a method for predicting the sealing life of a box cover of a battery pack, which comprises the following steps:
Step S101, manufacturing a plurality of silica gel foam samples, wherein the material selected for the silica gel foam samples is the material for manufacturing a silica gel foam sealing pad of a battery pack box cover;
Step S102, selecting x test temperatures, and performing an aging test on a plurality of silica gel foam samples to obtain compression set epsilon ijk of each silica gel foam sample under the stress of the corresponding test temperature;
Step S103, an aging dynamics model relation suitable for each silica gel foam sample is established, and a residual square sum function is established through the compression permanent deformation epsilon ijk of each silica gel foam sample under the corresponding test temperature stress and the aging dynamics model relation, so as to obtain an aging constant alpha which enables the residual square sum to be minimum in the aging dynamics model relation; after the aging constant alpha is obtained, carrying out regression solution on the aging dynamics model relation by utilizing the compression permanent deformation rate epsilon ijk of each silica gel foam sample under the corresponding test temperature stress, wherein the test constant B ij and the aging rate K ij of each silica gel foam sample under the temperature stress are utilized, so that the average test constant B i and the average aging rate K i of all the silica gel foam samples under the temperature stress are obtained;
Step S104, establishing a relational expression of the aging rate and the temperature of the silica gel foam sample, and carrying out regression solution on the relational expression of the aging rate and the temperature of the silica gel foam sample by utilizing the average aging rate K i of all the silica gel foam samples under each temperature stress to obtain a coefficient A and a reaction activation energy E in the relational expression of the aging rate and the temperature of the silica gel foam sample;
Step S105, selecting a group of ageing rates K ij of the silica gel foam samples under a test temperature stress with the minimum temperature value, and carrying out regression solution on a relational expression of the ageing rates and the temperature of the silica gel foam samples to obtain a plurality of coefficients A, thereby obtaining a distribution function of the coefficients A;
Step S106, a sealing average life calculation formula and a3 delta lower limit life calculation formula of the silica gel foam sample under the average temperature T 0 of the battery pack working condition are obtained based on the ageing dynamics model relational expression obtained by the regression solution in the step S103, the ageing rate and temperature relational expression of the silica gel foam sample obtained by the regression solution in the step S104 and the distribution function of the coefficient A obtained in the step S105;
And S107, predicting the sealing life of the box body cover of the battery pack by using a sealing average life calculation formula and a3 delta lower limit life calculation formula of the obtained silica gel foam sample under the average temperature T 0 of the working condition of the battery pack.
Preferably, step S102 includes:
Selecting x test temperatures, and dividing a plurality of silica gel foam samples into x groups; the group of samples corresponding to the lowest test temperature has the largest number and exceeds the preset number;
Each group of silica gel foam samples are respectively corresponding to one test temperature, and different test temperatures are regulated by utilizing an incubator; the following operations are circularly performed on each group of silica gel foam samples for n times: measuring the original height of each silica gel foam sample before being placed in an incubator corresponding to the test temperature and being uncompressed; filling a silica gel foam sample into a compression tool; placing the compression tool in an incubator corresponding to the test temperature and keeping the compression tool for a first preset time period; taking out the compression tool from the incubator, taking out the silica gel foam sample from the compression tool, enabling the silica gel foam sample to stand for a second preset time period, and measuring the recovery length of the silica gel foam sample;
by the formula:
Calculating compression set epsilon ijk of each silica gel foam sample under the corresponding test temperature stress, wherein h 0ij is the original height of the j sample in the i group when the k test is carried out under the i temperature stress, h ijk is the recovery height of the j sample in the i group when the k test is carried out under the i temperature stress, and the recovery height is kept for a second preset time after the compression is removed from an incubator corresponding to the test temperature, and h x is the limiting height average value of all the silica gel foam samples; i ε {1,2, x };
j∈{1,2,…,m}，k∈{1,2,…,n}；
by the formula:
Calculating the critical compression set epsilon th,eth of the silica gel foam sample as the critical compression set of the preset sealing failure of the box cover, wherein h 0 is the original height average value of all the silica gel foam samples, h is the recovery height average value of the second preset time period after all the silica gel foam samples are taken out from the temperature boxes corresponding to the test temperatures and decompressed, and h x is the limit height average value of all the silica gel foam samples.
Preferably, in step S106, the calculation formula of the sealing average life TTF mean of the silica gel foam sample is:
The calculation formula of the 3 delta lower limit life TTF 3δ of the silica gel foam sample is as follows:
Wherein mu A is expected in a distribution function of a coefficient A, delta A is standard deviation in the distribution function of the coefficient A, E is reaction activation energy, A is a coefficient, R is Boltzmann constant, T 0 is average temperature of battery pack working conditions, B i is average test constant of all silica gel foam samples under each temperature stress, epsilon th is critical compression set of the silica gel foam samples, and alpha is aging constant.
Preferably, in step S103, the aging dynamics model relation of each silica gel foam sample under different temperature stresses at each aging test is:
In the method, in the process of the invention, For the compression set of the jth silica gel foam sample in the ith group when the jth test is performed under the ith temperature stress, B ijk is the test constant of the jth test of the jth silica gel foam sample in the ith group when the jth test is performed under the ith temperature stress, K ijk is the aging rate of the jth silica gel foam sample in the ith group when the jth test is performed under the ith temperature stress, α is the aging constant, α e (0, 1), t is the aging time;
the step of constructing a residual square sum function through the compression set epsilon ijk of each silica gel foam sample under the corresponding test temperature stress and the aging dynamics model relation to obtain an aging constant alpha which enables the residual square sum to be minimum in the aging dynamics model relation specifically comprises the following steps:
Constructing a residual square sum function:
with α=0 as an initial value, 0.01 as a step size, 1 as a terminal value, an α value that minimizes the sum of squares of residuals is searched for.
Preferably, in step S104, the relationship between the aging rate and the temperature of the silica gel foam sample is:
wherein A is a coefficient, E is reaction activation energy, R is Boltzmann constant, and T is Kelvin temperature.
The beneficial effects of the invention are as follows:
By the method, quantitative analysis and evaluation of the sealing performance of the battery pack box cover can be performed, and the prediction of the sealing life of the battery pack box is realized.
Drawings
Fig. 1 is an analysis flowchart of a method for predicting the sealing life of a battery pack case cover according to the present embodiment.
Detailed Description
The following description of the embodiments of the present invention is provided to facilitate understanding of the present invention by those skilled in the art, but it should be understood that the present invention is not limited to the scope of the embodiments, and all the inventions which make use of the inventive concept are protected by the spirit and scope of the present invention as defined and defined in the appended claims to those skilled in the art.
Referring to fig. 1, the method for calculating the sealing life of the battery pack case cover comprises the following steps:
S1, manufacturing a plurality of silica gel foam samples.
Specifically, the step is to cut the silica gel foam sealing pad for manufacturing the battery pack box cover from the center to prepare a cylinder sample with the diameter of 13mm, and the formed cylinder sample is the silica gel foam sample piece required in the embodiment.
S2, performing a temperature aging test on the silica gel foam sample.
And loading the silica gel foam sample into a compression tool, setting different temperature gradients on an incubator, selecting a proper test sample data size, and then placing the compression tool filled with the silica gel foam sample into the incubator with set temperature for test.
And taking out the compression tool from the incubator after a period of time, taking out the silica gel foam sample from the compression tool, measuring the height value recovered by placing the silica gel foam sample for a specific time at normal temperature, placing the silica gel foam into the compression tool, and returning all the compression tool to the incubator for continuous test.
S3, predicting the sealing reliability life of the silica gel foam sample.
And constructing a mathematical model by using the height value recovered after the silica gel foam sample collected by the temperature aging test is placed at different temperatures for decompression, and predicting the sealing performance and reliability of the silica gel foam sample within a specified period.
In step S2, the method for performing the temperature aging test includes:
s2-1, designing a test scheme.
Based on the temperature interval of the battery pack in the actual working condition, x temperatures are selected, in this embodiment, x=3, specifically, T 1,T2,T3, where the temperature gradient of T 1<T2<T3,T1,T2,T3 is set to be at least 20 ℃, and the maximum temperature must not exceed the limit temperature of the seal failure mechanism change. The number of test samples at the temperature of T 2、T3 is 4, and the number of test samples at the temperature of T 1 is 32 (a predetermined number) for obtaining the distribution characteristics. The initial compression rate of the silica gel foam sample is controlled to be the actual theoretical compression rate of the silica gel foam sample after the silica gel foam sample is assembled in a compression tool. For each temperature, the total duration of the temperature aging test was set to 720h, and the sample data acquisition point was once every 120 h. The collected data is the recovery height of the silica gel foam sample taken out of the compression tool after standing for 1h (second preset time length) at normal temperature.
Wherein, the initial compression rate of all silica gel foam samples in compression frock is the same, and the initial height of all silica gel foam samples is also the same.
S2-2, establishing a failure threshold value. And the compression rate of the silica gel foam sample is adjusted through simulation, and the compression stress distribution of the sealing interface is obtained by combining the roughness of the sealing interface. When the lower limit of the compressive stress is at a critical value, the critical initial compression rate e th of the silica gel foam sample is obtained, and the critical compression set epsilon th of the silica gel foam sample is obtained.
The conversion relationship between the initial compression rate e and the compression set epsilon of the silica gel foam sample is as follows:
wherein epsilon is compression set, e is initial compression rate, h 0 is original height average value of all silica gel foam samples, h is recovery height average value of all silica gel foam samples after decompression, and h x is limit height average value of all silica gel foam samples.
Furthermore, it can be determined that the conversion relationship between the critical compression ratio (i.e. the critical compression ratio of the sealing failure of the box cover in the embodiment, the specific numerical value can be obtained by combining the stress strain curve of the material with the sealing interface simulation) e th and the critical compression set epsilon th of the silica gel foam sample is:
Through the formula, the critical compression set epsilon th of the silica gel foam sample can be obtained.
S2-3, acquiring and recording test data to calculate compression set epsilon ijk of each silica gel foam sample under different temperature stresses each time.
Recording the initial thickness h 0ij of the jth silica gel foam sample in the ith group under the ith temperature stress, taking the compression tool out of the incubator at intervals, taking the silica gel foam sample out of the compression tool, and measuring the recovered height h ijk of the silica gel foam sample after the silica gel foam sample is left stand for 1h, i epsilon {1,2, x }, j epsilon {1,2, …, m }, m being the number of samples under the ith temperature stress, k epsilon {1,2, …, n }, and k being the measurement times. The compression set epsilon ijk calculated by the kth measurement of the jth silica gel foam sample in the ith group under the ith temperature stress is:
In step S3, the method for predicting the sealing reliability of the battery pack cover by test data includes:
s3-1, solving the parameters of the prediction model.
Establishing an aging dynamics model relation of a silica gel foam sample, wherein the aging dynamics model relation specifically comprises the following steps:
Wherein epsilon is the compression set of the silica gel foam sample, B is the test constant, K is the aging rate, alpha is the aging constant, alpha epsilon (0, 1) and t is the aging time.
Furthermore, the aging dynamics model relation of each silica gel foam sample under different temperature stress can be obtained, specifically:
In the method, in the process of the invention, The compression set of the jth silica gel foam sample in the ith group under the ith temperature stress is the compression set of the jth test under the ith temperature stress, B ijk is the test constant of the jth silica gel foam sample in the ith group under the ith temperature stress, K ijk is the aging rate of the jth silica gel foam sample in the ith group under the ith temperature stress, alpha is the aging constant, alpha is E (0, 1), and t is the aging time.
And constructing a residual square sum function by an aging dynamics model formula of each silica gel foam sample under different temperature stresses in each test and compression permanent deformation epsilon ijk of each silica gel foam sample under different temperature stresses obtained in the step S2-3. With α=0 as an initial value, 0.01 as a step size, 1 as a terminal value, an α value that minimizes the sum of squares of residuals is searched for. Wherein, the constructed residual square sum function is:
After alpha is obtained, regression is carried out on the aging kinetic model by using the test data, so that the test constant B ij (specifically B ijk/K) and the aging rate K ij (specifically K ijk/K) of each silica gel foam sample under each temperature stress can be obtained, and further the average test constant B i and the average aging rate K i of all the silica gel foam samples under each temperature stress can be calculated.
S3-2, seal reliability life prediction
The relationship of temperature to aging rate K of the silica gel foam sample can be expressed by an alemts model:
wherein A is a coefficient, E is reaction activation energy, R is Boltzmann constant, and T is Kelvin temperature.
After the average aging rate K i of all the silica gel foam samples under each temperature stress is calculated by the formula 2-3, regression is carried out on the formula, and then the estimated values of A and E can be obtained.
For a fixed material system, the reaction activation energy E should be constant, and fluctuations in the aging rate K characterize the level of uniformity of the product. The fluctuation of the aging rate K can be represented by A, and the distribution characteristics of A can be obtained by using m samples under the temperature stress T 1, and the specific method is as follows:
Regression was performed on the alemts model with K 1j, j=1, …, m, where m=32, to obtain 32 a values, which were subjected to distribution analysis to obtain a distribution function of the coefficient a. Taking the normal distribution of the coefficient a as an example,
By using the aging dynamics model formula of the silica gel foam sample in the step S3-1, the acceleration relation of the temperature to the aging rate K of the silica gel foam sample, and the distribution parameter of the coefficient a, the sealing average life of the battery pack box cover under the average temperature T 0 of all battery pack working conditions can be deduced as follows:
The 3 delta lower limit life of the battery pack box cover is as follows:
By the method, the average sealing life and the sealing lower limit life of the battery pack box cover can be predicted.
Claims (4)
1. A method of predicting the sealing life of a battery pack case lid, comprising:
Step S101, manufacturing a plurality of silica gel foam samples, wherein the material selected for the silica gel foam samples is the material for manufacturing a silica gel foam sealing pad of a battery pack box cover;
Step S102, selecting x test temperatures, and performing an aging test on a plurality of silica gel foam samples to obtain compression set epsilon ijk of each silica gel foam sample under the stress of the corresponding test temperature;
Step S103, an aging dynamics model relation suitable for each silica gel foam sample is established, and a residual square sum function is established through the compression permanent deformation epsilon ijk of each silica gel foam sample under the corresponding test temperature stress and the aging dynamics model relation, so as to obtain an aging constant alpha which enables the residual square sum to be minimum in the aging dynamics model relation; after the aging constant alpha is obtained, carrying out regression solution on the aging dynamics model relation by utilizing the compression permanent deformation rate epsilon ijk of each silica gel foam sample under the corresponding test temperature stress, wherein the test constant B ij and the aging rate K ij of each silica gel foam sample under the temperature stress are utilized, so that the average test constant B i and the average aging rate K i of all the silica gel foam samples under the temperature stress are obtained; in step S103, the aging dynamics model relation of each silica gel foam sample under different temperature stresses during each aging test is as follows:
In the method, in the process of the invention, For the compression set of the jth silica gel foam sample in the ith group when the jth test is performed under the ith temperature stress, B ijk is the test constant of the jth test of the jth silica gel foam sample in the ith group when the jth test is performed under the ith temperature stress, K ijk is the aging rate of the jth silica gel foam sample in the ith group when the jth test is performed under the ith temperature stress, α is the aging constant, α e (0, 1), t is the aging time;
Step S104, establishing a relational expression of the aging rate and the temperature of the silica gel foam sample, and carrying out regression solution on the relational expression of the aging rate and the temperature of the silica gel foam sample by utilizing the average aging rate K i of all the silica gel foam samples under each temperature stress obtained in the step S103 to obtain a coefficient A and a reaction activation energy E in the relational expression of the aging rate and the temperature of the silica gel foam sample;
Step S105, selecting a group of ageing rates K ij of the silica gel foam samples under a test temperature stress with the minimum temperature value, and carrying out regression solution on a relational expression of the ageing rates and the temperature of the silica gel foam samples to obtain a plurality of coefficients A, thereby obtaining a distribution function of the coefficients A;
Step S106, a sealing average life calculation formula and a 3 delta lower limit life calculation formula of the silica gel foam sample under the average temperature T 0 of the battery pack working condition are obtained based on the ageing dynamics model relational expression obtained by the regression solution in the step S103, the ageing rate and temperature relational expression of the silica gel foam sample obtained by the regression solution in the step S104 and the distribution function of the coefficient A obtained in the step S105; in step S106, the calculation formula of the sealing average life TTF mean of the silica gel foam sample is:
The calculation formula of the 3 delta lower limit life TTF 3δ of the silica gel foam sample is as follows:
Wherein mu A is expected in a distribution function of a coefficient A, delta A is standard deviation in the distribution function of the coefficient A, E is reaction activation energy, A is a coefficient, R is Boltzmann constant, T 0 is average temperature of battery pack working conditions, B i is average test constant of all silica gel foam samples under each temperature stress, epsilon th is critical compression permanent deformation rate of the silica gel foam samples, and alpha is aging constant;
And S107, predicting the sealing life of the box body cover of the battery pack by using a sealing average life calculation formula and a3 delta lower limit life calculation formula of the obtained silica gel foam sample under the average temperature T 0 of the working condition of the battery pack.
2. The method according to claim 1, wherein step S102 includes:
Selecting x test temperatures, and dividing a plurality of silica gel foam samples into x groups; the group of samples corresponding to the lowest test temperature has the largest number and exceeds the preset number;
Each group of silica gel foam samples are respectively corresponding to one test temperature, and different test temperatures are regulated by utilizing an incubator; the following operations are circularly performed on each group of silica gel foam samples for n times: measuring the original height of each silica gel foam sample before being placed in an incubator corresponding to the test temperature and being uncompressed; filling a silica gel foam sample into a compression tool; placing the compression tool in an incubator corresponding to the test temperature and keeping the compression tool for a first preset time period; taking out the compression tool from the incubator, taking out the silica gel foam sample from the compression tool, enabling the silica gel foam sample to stand for a second preset time period, and measuring the recovery length of the silica gel foam sample;
by the formula:
Calculating compression set epsilon ijk of each silica gel foam sample under the corresponding test temperature stress, wherein h 0ij is the original height of the j sample in the i group when the k test is carried out under the i temperature stress, h ijk is the recovery height of the j sample in the i group when the k test is carried out under the i temperature stress, and the recovery height is kept for a second preset time after the compression is removed from an incubator corresponding to the test temperature, and h x is the limiting height average value of all the silica gel foam samples; i ε {1,2, x };
j∈{1,2,…,m}，k∈{1,2,…,n}；
by the formula:
Calculating the critical compression set epsilon th,eth of the silica gel foam sample as the critical compression set of the preset sealing failure of the box cover, wherein h 0 is the original height average value of all the silica gel foam samples, h is the recovery height average value of the second preset time period after all the silica gel foam samples are taken out from the temperature boxes corresponding to the test temperatures and decompressed, and h x is the limit height average value of all the silica gel foam samples.
3. The method of claim 1, wherein the step of determining the position of the substrate comprises,
The step of constructing a residual square sum function through the compression set epsilon ijk of each silica gel foam sample under the corresponding test temperature stress and the aging dynamics model relation to obtain an aging constant alpha which enables the residual square sum to be minimum in the aging dynamics model relation specifically comprises the following steps:
Constructing a residual square sum function:
with α=0 as an initial value, 0.01 as a step size, 1 as a terminal value, an α value that minimizes the sum of squares of residuals is searched for.
4. The method according to claim 1, wherein in step S104, the aging rate and temperature of the silica gel foam sample are expressed as follows:
wherein A is a coefficient, E is reaction activation energy, R is Boltzmann constant, and T is Kelvin temperature.
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