CN113484764B - Retired battery SOH and consistency assessment method based on multidimensional impedance spectrum - Google Patents
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Abstract
Description
技术领域technical field
本发明属于电池技术领域,特别是涉及一种基于多维阻抗谱的退役电池SOH和一致性的评估方法。The invention belongs to the technical field of batteries, in particular to a method for evaluating the SOH and consistency of decommissioned batteries based on multidimensional impedance spectroscopy.
背景技术Background technique
近年来,电动汽车因其节能减排、环境友好,得以快速发展,而电动汽车快速发展带动动力电池产量剧增。但当车用动力电池容量衰减至80%时,其将无法满足电动汽车行驶的功率需求,面临退役,由此引发退役动力电池的消纳问题。从电池角度考虑,若直接报废拆解退役动力电池,会严重缩短电池使用寿命,降低能源利用效率,造成资源严重浪费。梯次利用可以很好地解决这个问题,通过梯次利用可以让动力电池性能得到充分发挥,还可以降低成本。In recent years, electric vehicles have developed rapidly due to their energy saving, emission reduction and environmental friendliness, and the rapid development of electric vehicles has led to a sharp increase in the output of power batteries. However, when the capacity of the vehicle's power battery decays to 80%, it will not be able to meet the power requirements of electric vehicles and will face retirement, which will lead to the consumption of decommissioned power batteries. From the perspective of the battery, if the decommissioned power battery is directly scrapped and disassembled, the service life of the battery will be seriously shortened, the energy utilization efficiency will be reduced, and resources will be seriously wasted. Cascade utilization can solve this problem very well. Through cascade utilization, the performance of the power battery can be fully utilized, and the cost can also be reduced.
电池的寿命衰减涉及的因素较为复杂,退役后的电池一致性差异较大,为保证梯次利用电池系统安全,提高电池组性能和使用寿命,退役动力电池必须经过SOH和一致性评估后才能再重组利用;准确的电池SOH和一致性评估方法可以提高电池梯次利用企业的生产效益,降低不合格产品的产出率,因此准确的对退役动力电池进行SOH和一致性评估显得尤其重要。The factors involved in battery life attenuation are relatively complex, and the consistency of retired batteries varies greatly. In order to ensure the safety of cascaded battery systems and improve the performance and service life of battery packs, decommissioned power batteries must undergo SOH and consistency evaluations before they can be reassembled Utilization; Accurate battery SOH and consistency evaluation methods can improve the production efficiency of battery cascade utilization enterprises and reduce the output rate of unqualified products. Therefore, it is particularly important to accurately evaluate the SOH and consistency of decommissioned power batteries.
相关技术中的SOH和一致性评估方法大多以电池的开路电压、容量、内阻等对一致性进行评估,此种方法只根据电池的外部特性进行判断,具有操作简单,但精确度低的特点;也有利用电池充放电曲线等因素进行评估,但测试时间较长,无法实现快速准确的完成大批量电池的一致性识别,不利于商业利用。此外,相关技术中还有基于电化学交流阻抗谱的评估方法,但其EIS曲线是在常温、满荷电状态下测量得到的,只能反映电池在某一条件下的阻抗状态,无法准确反映电池真实状况,一致性评估结果可靠性低。Most of the SOH and consistency evaluation methods in the related art evaluate the consistency based on the open circuit voltage, capacity, and internal resistance of the battery. This method only judges based on the external characteristics of the battery, and has the characteristics of simple operation but low accuracy. There are also factors such as battery charge and discharge curves for evaluation, but the test time is long, and it is impossible to quickly and accurately complete the consistent identification of large quantities of batteries, which is not conducive to commercial use. In addition, there is an evaluation method based on electrochemical AC impedance spectroscopy in related technologies, but its EIS curve is measured at room temperature and fully charged, which can only reflect the impedance state of the battery under a certain condition, and cannot accurately reflect the The real condition of the battery, the reliability of the consistency evaluation results is low.
发明内容Contents of the invention
本发明是为了解决上述现有技术存在的不足之处,提出一种退役电池SOH和一致性的评估方法,以期利用SOH和指纹图谱相似度这两个指标来实现一致性的评估,从而提高评估的准确性和可靠性,以解决现有方法中存在的评估时间长、精确度低的问题。The present invention aims to solve the shortcomings of the above-mentioned prior art, and proposes a method for evaluating the SOH and consistency of decommissioned batteries, in order to use the two indicators of SOH and fingerprint similarity to achieve consistency evaluation, thereby improving the evaluation In order to solve the problems of long evaluation time and low precision existing in existing methods.
本发明为达到上述发明目的,采用如下技术方案:The present invention adopts following technical scheme in order to achieve the above-mentioned purpose of the invention:
本发明一种基于多维阻抗谱的退役电池SOH和一致性的评估方法的特点在于,包括:A method for evaluating the SOH and consistency of decommissioned batteries based on multidimensional impedance spectroscopy in the present invention is characterized in that it includes:
S1.随机选取若干电池,并在温度恒定状态下利用典型循环充放电方法测得每个电池的SOH,再测出每个电池在不同的SOC状态下的多维EIS曲线簇;改变温度后重复测试过程,从而得到所有电池在不同SOC状态和温度T下的多维EIS曲线簇库,以形成样本电池图谱库;S1. Randomly select several batteries, and measure the SOH of each battery by using a typical cycle charging and discharging method under a constant temperature state, and then measure the multidimensional EIS curve cluster of each battery under different SOC states; repeat the test after changing the temperature process, so as to obtain the multi-dimensional EIS curve cluster library of all batteries at different SOC states and temperatures T to form a sample battery spectrum library;
S2.获取一个待评估电池以阻抗实部、虚部为坐标轴的不同幅值激励电流下的EIS曲线簇并作为其图谱,与所述样本电池图谱库中的图谱进行匹配;S2. Obtain a cluster of EIS curves under excitation currents of different amplitudes with the real and imaginary parts of the impedance as coordinate axes of the battery to be evaluated and use it as its spectrum, and match it with the spectrum in the sample battery spectrum library;
若匹配成功,则将匹配成功的图谱所对应的SOH和SOC状态作为待评估电池的SOH和SOC状态;If the matching is successful, the SOH and SOC states corresponding to the successfully matched spectra are used as the SOH and SOC states of the battery to be evaluated;
若匹配失败,则按照步骤S1的过程测出所述待评估电池的SOH以及在不同SOC、温度T条件下的多维EIS曲线簇,并加入到样本电池图谱库中;If the matching fails, measure the SOH of the battery to be evaluated and the multidimensional EIS curve clusters under different SOC and temperature T conditions according to the process of step S1, and add them to the sample battery library;
S3.按照步骤2的过程,对所有待评估电池进行匹配;S3. According to the process of
S4.将SOH作为一致性评估的第一指标,设定SOH的取值范围,并将处于所述取值范围内的所有待评估电池归为一组;S4. Taking SOH as the first index of consistency evaluation, setting the value range of SOH, and grouping all the batteries to be evaluated within the value range into one group;
S5.对同组内的待评估电池进行编号,并将1号待评估电池作为参考电池,计算其他待评估电池的指纹图谱与参考电池的指纹图谱的相似度;S5. Number the batteries to be evaluated in the same group, and use No. 1 battery to be evaluated as a reference battery, and calculate the similarity between the fingerprints of other batteries to be evaluated and the fingerprints of the reference battery;
S6.以相似度作为一致性评估的第二指标,将相似度高于所设定的阈值的待评估电池判断为具有一致性的电池,并归为一类,剩余的待评估电池按照步骤S5和步骤S6的过程继续归类,直到所有待评估电池完成分类。S6. Taking the similarity as the second index of the consistency evaluation, judge the battery to be evaluated whose similarity is higher than the set threshold as the battery with consistency, and classify it into one category, and the remaining batteries to be evaluated follow step S5 And the process of step S6 continues to sort until all the batteries to be evaluated are sorted.
本发明所述的基于多维阻抗谱的退役电池SOH和一致性的评估方法的特点也在于,所述步骤S2中的图谱匹配方法为基于细节点模式指纹识别算法或基于纹理模式的指纹识别算法。The method for assessing the SOH and consistency of decommissioned batteries based on multidimensional impedance spectroscopy in the present invention is also characterized in that the spectrum matching method in the step S2 is a fingerprint recognition algorithm based on minutiae patterns or fingerprint recognition algorithms based on texture patterns.
所述基于细节点模式指纹识别算法是将所述样本电池图谱库中的各个图谱和待评估电池图谱转化为由特征点构成的各自点集,计算待评估电池图谱转化的点集中的每个特征点与图谱库中各个图谱转化的点集中对应特征点的距离,若距离小于所设定的点间偏移距离阈值,则表示对应的两个特征点相匹配,统计待评估电池转化的点集与图谱库中各个图谱转化的点集相匹配的特征点数量,并将匹配点数量最多的图谱作为候选图谱,若匹配点数量大于所设定的数量阈值,则所述候选图谱即为匹配成功的图谱;否则,表示匹配失败。The minutiae-based pattern fingerprint recognition algorithm is to convert each spectrum in the sample battery spectrum database and the battery spectrum to be evaluated into respective point sets composed of feature points, and calculate each feature in the point set transformed from the battery spectrum to be evaluated The distance between the points and the corresponding feature points in the point set converted from each map in the map library. If the distance is less than the set point offset distance threshold, it means that the corresponding two feature points match, and the point set of battery conversion to be evaluated is counted. The number of feature points matched with the converted point sets of each map in the map library, and the map with the largest number of matching points is used as a candidate map. If the number of matching points is greater than the set threshold, the candidate map is successfully matched spectrum; otherwise, it means that the matching failed.
所述基于纹理模式的指纹识别算法是将所述样本电池图谱库中的各个图谱以及待评估电池的图谱分别转化为由纹线构成的线集,计算各个线集中的相邻纹线之间的动态弯曲距离并作为图谱的特征向量,然后计算出待评估电池的图谱的特征向量与所述样本电池图谱库的各个图谱的特征向量之间的距离,并选出最小距离后判断是否小于所设定的图谱偏移距离阈值,若小于,则将最小距离所对应的图谱作为匹配成功的图谱;否则,表示匹配失败。The fingerprint recognition algorithm based on the texture mode is to convert each spectrum in the sample battery spectrum library and the spectrum of the battery to be evaluated into a line set composed of lines, and calculate the distance between adjacent lines in each line set. The dynamic bending distance is used as the feature vector of the map, and then the distance between the feature vector of the battery to be evaluated and the feature vectors of each map in the sample battery map library is calculated, and the minimum distance is selected to determine whether it is less than the set value. If it is less than the specified map offset distance threshold, the map corresponding to the minimum distance will be regarded as the map that matches successfully; otherwise, it means that the match fails.
与现有技术相比,本发明的有益效果在于:Compared with prior art, the beneficial effect of the present invention is:
1、本发明利用多维EIS阻抗谱表征电池状态,相比于常规的表征方法,能够更加全面、精确的反映电池的真实情况。1. The present invention uses multidimensional EIS impedance spectroscopy to characterize the state of the battery, which can more comprehensively and accurately reflect the real situation of the battery compared to conventional characterization methods.
2、本发明对由阻抗谱形成的指纹图谱进行识别,将一致性评估转换为指纹图谱之间的相似性问题,使一致性评估更加合理、直观。2. The present invention recognizes the fingerprints formed by the impedance spectrum, and converts the consistency evaluation into the similarity problem between the fingerprints, so that the consistency evaluation is more reasonable and intuitive.
3、本发明对于大批量的退役动力电池健康状态和一致性评估仍然适用,测试周期短,工作效率高。3. The present invention is still applicable to the health status and consistency assessment of a large number of decommissioned power batteries, with short test period and high work efficiency.
4、本发明采用两个指标进行一致性评估,可靠性更高,有利于提高重组利用后的电池组的整体性能,并延长其使用寿命。4. The present invention adopts two indicators for consistency evaluation, which has higher reliability, which is beneficial to improve the overall performance of the recombined and utilized battery pack and prolong its service life.
附图说明Description of drawings
图1是本发明的EIS曲线随SOC变化关系示意图;Fig. 1 is the schematic diagram of EIS curve of the present invention changing with SOC;
图2是本发明的EIS曲线随充放电循环次数变化关系示意图;Fig. 2 is a schematic diagram of the EIS curve of the present invention as the number of charge-discharge cycles varies;
图3是本发明的基于细节点模式的指纹匹配算法流程图;Fig. 3 is the fingerprint matching algorithm flowchart based on minutiae pattern of the present invention;
图4a是本发明用于具体阐述指纹识别的一个三维EIS曲线图;Fig. 4a is a three-dimensional EIS curve diagram that the present invention is used to specifically illustrate fingerprint recognition;
图4b是本发明用于具体阐述指纹识别的另一个三维EIS曲线图;Fig. 4b is another three-dimensional EIS graph that the present invention is used for specifying fingerprint identification;
图5是本发明待评估电池SOH和SOC确定方法的流程图。Fig. 5 is a flow chart of the method for determining the SOH and SOC of the battery to be evaluated according to the present invention.
具体实施方式Detailed ways
本实施例中,基于多维阻抗谱的退役电池SOH和一致性的评估方法,包括:In this embodiment, the method for evaluating the SOH and consistency of decommissioned batteries based on multidimensional impedance spectroscopy includes:
S1.随机选取若干电池,并在温度恒定状态下利用典型循环充放电方法测得每个电池的SOH,再测出每个电池在不同的SOC状态下的多维EIS曲线簇;改变温度后重复测试过程,从而得到所有电池在不同SOC状态和温度T下的多维EIS曲线簇库,以形成样本电池图谱库;S1. Randomly select several batteries, and measure the SOH of each battery by using a typical cycle charging and discharging method under a constant temperature state, and then measure the multidimensional EIS curve cluster of each battery under different SOC states; repeat the test after changing the temperature process, so as to obtain the multi-dimensional EIS curve cluster library of all batteries at different SOC states and temperatures T to form a sample battery spectrum library;
具体地,多维EIS曲线簇获取的方法为:Specifically, the method for obtaining multidimensional EIS curve clusters is:
S1.1.对退役电池施加频率为f1,f2,f3…fb,幅值为i1的正弦波电流信号;S1.1. Apply a sinusoidal current signal with frequency f 1 , f 2 , f 3 ...f b and amplitude i 1 to the decommissioned battery;
S1.2.同步采样该激励信号下的电压、电流、温度信号,经傅里叶变换分析后可得出电池在各个频率下的阻抗Z1(f1),Z1(f2),Z1(f3)…Z1(fb);S1.2. Synchronously sample the voltage, current, and temperature signals under the excitation signal, and after Fourier transform analysis, the impedance Z 1 (f 1 ), Z 1 (f 2 ), Z of the battery at each frequency can be obtained 1 (f 3 )… Z 1 (f b );
S1.3.由阻抗的实部和虚部即可拟合出当前温度下在幅值为i1的激励信号下的EIS曲线;S1.3. From the real part and the imaginary part of the impedance, the EIS curve under the excitation signal whose amplitude is i1 can be fitted at the current temperature;
S1.4.改变激励电流的幅值为i2,i3...ia,得出电池的阻抗Z2(f1),Z2(f2),Z2(f3)…Z2(fb),Z3(f1)、Z3(f2)、Z3(f3)…Z3(fb),…,Za(f1)、Za(f2)、Za(f3)…Za(fb)拟合出对应的EIS曲线,形成退役电池的以阻抗实部、虚部为坐标轴的不同幅值激励电流下的多维EIS曲线簇。S1.4. Change the amplitude of the excitation current to i 2 , i 3 ...i a to get the impedance Z 2 (f 1 ), Z 2 (f 2 ), Z 2 (f 3 )...Z 2 of the battery (f b ), Z 3 (f 1 ), Z 3 (f 2 ), Z 3 (f 3 )...Z 3 (f b ),..., Z a (f 1 ), Z a (f 2 ), Z a (f 3 )…Z a (f b ) fit the corresponding EIS curves to form a cluster of multi-dimensional EIS curves under excitation currents of different amplitudes with the real part and imaginary part of the impedance as the coordinate axes of the decommissioned battery.
如图1和图2所示,可以看到随SOC和循环充放电次数变化,EIS曲线发生明显变化,此处用循环充放电次数的变化来代替电池SOH的变化。As shown in Figure 1 and Figure 2, it can be seen that with the change of SOC and cycle charge and discharge times, the EIS curve changes significantly. Here, the change of cycle charge and discharge times is used to replace the change of battery SOH.
S2.获取一个待评估电池以阻抗实部、虚部为坐标轴的不同幅值激励电流下的EIS曲线簇并作为其图谱,与所述样本电池图谱库中的图谱进行匹配;S2. Obtain a cluster of EIS curves under excitation currents of different amplitudes with the real and imaginary parts of the impedance as coordinate axes of the battery to be evaluated and use it as its spectrum, and match it with the spectrum in the sample battery spectrum library;
其中,图谱匹配方法为基于细节点模式指纹识别算法或基于纹理模式的指纹识别算法。Wherein, the map matching method is a minutiae pattern-based fingerprint recognition algorithm or a texture pattern-based fingerprint recognition algorithm.
指纹识别是指用待识别样本的指纹特征与指纹库中的指纹特征进行比对,寻找与其对应的或者最接近的指纹特征,具体识别过程简单的数学描述为:假设在指纹库D中有m种状态模式,即S1,S2,…Sm,并且每个状态模式Si均有一个n维指纹特征,待识别样本的指纹特征为y=(y1,y2,…yn)T,则指纹特征识别就是在指纹库D中寻找与y最接近的xi,而xi对应的状态模式即为y的状态模式。Fingerprint identification refers to comparing the fingerprint feature of the sample to be identified with the fingerprint feature in the fingerprint library to find the corresponding or closest fingerprint feature. The simple mathematical description of the specific identification process is as follows: suppose there is m in the fingerprint library D state patterns, that is, S 1 , S 2 ,...S m , and each state pattern S i has an n-dimensional fingerprint feature, and the fingerprint feature of the sample to be identified is y=(y 1 ,y 2 ,...y n ) T , then the fingerprint feature recognition is to find the xi closest to y in the fingerprint database D, and the state mode corresponding to xi is the state mode of y.
基于细节点模式指纹识别算法是将样本电池图谱库中的各个图谱和待评估电池图谱转化为由特征点构成的各自点集,计算待评估电池图谱转化的点集中的每个特征点与图谱库中各个图谱转化的点集中对应特征点的距离,若距离小于所设定的点间偏移距离阈值,则表示对应的两个特征点相匹配,统计待评估电池图谱转化的点集与图谱库中各个图谱转化的点集间相匹配的特征点数量,并将匹配点数量最多的图谱作为候选图谱,若匹配点数量大于所设定的数量阈值,则所述候选图谱即为匹配成功的图谱;否则,表示匹配失败。The fingerprint recognition algorithm based on the minutiae pattern is to convert each spectrum in the sample battery spectrum library and the battery spectrum to be evaluated into a respective point set composed of feature points, and calculate each feature point and the spectrum library in the point set transformed from the battery spectrum to be evaluated The distance of the corresponding feature points in the converted point set of each map in each map. If the distance is less than the set point offset distance threshold, it means that the corresponding two feature points match. The point set of the battery map to be evaluated and the map library are counted. The number of matching feature points between the point sets converted from each map in the map, and the map with the largest number of matching points is used as the candidate map. If the number of matching points is greater than the set threshold, the candidate map is the successful map. ; otherwise, the match failed.
具体地,如图3所示,将在获取多维EIS曲线簇过程中得到的电池阻抗Z1(f1)、Z1(f2)、Z1(f3)…Z1(fb),…Za(f1)、Za(f2)、Za(f3)…Za(fb),作为指纹图谱的特征点,组成指纹图谱的特征点集,通过计算指纹图谱特征点集间匹配点的数量来判断指纹图谱间是否匹配。特征点之间的距离由下述公式(1)获取:Specifically, as shown in Figure 3, the battery impedances Z 1 (f 1 ), Z 1 (f 2 ), Z 1 (f 3 )...Z 1 (f b ) obtained during the process of obtaining the multidimensional EIS curve cluster, …Z a (f 1 ), Z a (f 2 ), Z a (f 3 )…Z a (f b ), as the feature points of the fingerprint, constitute the feature point set of the fingerprint, by calculating the feature points of the fingerprint The number of matching points between sets is used to judge whether the fingerprints match. The distance between feature points is obtained by the following formula (1):
d(Zi(fj),Zi′(fj))=(Rei(fj)-Re′i(fj))2+(Imi(fj)-Im′i(fj))2 (1)d(Z i (f j ),Z i ′(f j ))=(Re i (f j )-Re′ i (f j )) 2 +(Im i (f j )-Im′ i (f j )) 2 (1)
d(Zi(fj),Z′i(fj))表示Zi(fj)与Z′i(fj)之间的距离,Zi(fj)表示点集A对应的电池在幅值为ii,频率为fj的激励电流下的阻抗,Z′i(fj)表示点集B对应的电池在幅值为ii,频率为fj的激励电流下的阻抗;Rei(fj),Imi(fj)分别为Zi(fj)对应的阻抗实部和虚部,Re′i(fj),Im′i(fj)分别为Z′i(fj)对应的阻抗实部和虚部。d(Z i (f j ), Z′ i (f j )) indicates the distance between Z i (f j ) and Z′ i (f j ), and Z i (f j ) indicates the battery corresponding to point set A The impedance under the excitation current with amplitude i i and frequency f j , Z′ i (f j ) represents the impedance of the battery corresponding to point set B under the excitation current with amplitude i i and frequency f j ; Re i (f j ), Im i (f j ) are the real and imaginary parts of the impedance corresponding to Z i (f j ), respectively, Re′ i (f j ), Im′ i (f j ) are Z′ i (f j ) corresponds to the real and imaginary parts of the impedance.
将计算得到特征点之间的距离与点间距离阈值进行比较,若小于阈值则认为两个特征点相匹配,两个点集间匹配点的数量若超过指纹匹配的数量阈值,则认为两个指纹图谱相匹配。点间距离阈值的确定方法为:在电池处于相同的SOH、SOC、温度T状态下,多次获取电池的多维EIS曲线簇,计算对应特征点之间的距离,以其平均值作为该状态下阈值;以相同的方法得到其他SOH、SOC和温度T状态对应的判断阈值。数量阈值由系统要求的精度所决定。Compare the distance between the calculated feature points with the distance threshold between points. If it is less than the threshold, it is considered that the two feature points match. If the number of matching points between the two point sets exceeds the threshold of the number of fingerprint matches, it is considered two The fingerprints match. The method of determining the distance threshold between points is as follows: when the battery is in the same SOH, SOC, and temperature T state, the multidimensional EIS curve cluster of the battery is obtained multiple times, and the distance between the corresponding feature points is calculated, and the average value is used as the value in this state. Threshold value; the judgment threshold values corresponding to other SOH, SOC and temperature T states are obtained in the same way. The quantity threshold is determined by the precision required by the system.
更具体地,以图4a和图4b说明识别过程,如图所示为两个待评估的以阻抗实部、虚部为坐标轴的在激励信号幅值为I1、I2、I3的三维EIS曲线,各EIS曲线上的点为在拟合过程中计算出对应各频率的阻抗点。通过计算出对应特征点之间的距离,如激励电流幅值同为I1的EIS曲线上频率同为f1的阻抗点之间的距离,判断特征点之间是否匹配,进而统计匹配点的数量,并与数量阈值作比较来判断图谱间是否匹配。More specifically, Fig. 4a and Fig. 4b are used to illustrate the identification process. As shown in the figure, there are two to-be-evaluated impedance real and imaginary parts as the coordinate axes at excitation signal amplitudes I 1 , I 2 , and I 3 The three-dimensional EIS curve, the points on each EIS curve are the impedance points corresponding to each frequency calculated during the fitting process. By calculating the distance between the corresponding feature points, such as the distance between the impedance points on the EIS curve whose excitation current amplitude is the same as I 1 and the frequency is the same as f 1 , it is judged whether the feature points match, and then the matching points are counted. The number is compared with the number threshold to determine whether the maps match.
基于纹理模式的指纹匹配算法是将所述样本电池图谱库中的各个图谱以及待评估电池的图谱分别转化为由纹线构成的线集,计算各个线集中的相邻纹线之间的动态弯曲距离并作为图谱的特征向量,计算待评估电池的图谱的特征向量与所述样本电池图谱库的各个图谱的特征向量之间的距离,并选出最小距离后判断是否小于所设定的图谱偏移距离阈值,若小于,则将最小距离所对应的图谱作为匹配成功的图谱;否则,表示匹配失败。The fingerprint matching algorithm based on the texture mode is to convert each map in the sample battery map library and the map of the battery to be evaluated into a line set composed of ridges, and calculate the dynamic bending between adjacent ridges in each line set The distance is used as the feature vector of the graph, and the distance between the feature vector of the graph of the battery to be evaluated and the feature vectors of each graph in the sample battery graph library is calculated, and the minimum distance is selected to determine whether it is less than the set graph deviation. If it is less than the shift distance threshold, the map corresponding to the minimum distance will be regarded as the matching successful map; otherwise, the matching will fail.
具体地,动态时间弯曲(dynamic time wrapping,DTW)距离可以对序列中有局部位移的情况进行有效的处理。DTW距离通过构造对齐矩阵,采用动态规划方法在两个时间序列中找出一条使两个时间序列间累积距离最小的弯曲路径。定义两个时间序列为P=[p1,p2,...pm]T和Q=[q1,q2,...qm]T,序列长度分别为m和n。为了将P和Q利用DTW距离对齐,首先构造一个m行n列的距离矩阵A,即Specifically, the dynamic time wrapping (DTW) distance can effectively handle the case where there are local displacements in the sequence. The DTW distance constructs an alignment matrix and uses a dynamic programming method to find a curved path in two time series that minimizes the cumulative distance between the two time series. Define two time series as P=[p 1 ,p 2 ,...p m ] T and Q=[q 1 ,q 2 ,...q m ] T , and the sequence lengths are m and n respectively. In order to align P and Q using the DTW distance, first construct a distance matrix A with m rows and n columns, namely
式(2)中:A中元素aij=d(pi,qj)=(pi-qi)2,表示时间序列点pi与qj的对齐距离。弯曲路径是一个由P和Q在A中的特征映射组成的连续集合,记为W=[w1,w2,wk,...,wK]。W中的第k个元素定义为wk=(aij)k。In formula (2): element a ij =d(p i , q j )=(p i -q i ) 2 in A represents the alignment distance between time series points p i and q j . A curved path is a continuous set of feature maps of P and Q in A, denoted as W=[w 1 ,w 2 ,w k ,...,w K ]. The kth element in W is defined as w k =(a ij ) k .
W需满足如下约束条件:W needs to satisfy the following constraints:
有界性:max(m,n)≤K≤m+n-1。Boundedness: max(m,n)≤K≤m+n-1.
边界性:w1=a11和wK=amn,分别用来表示W的起点和终点。Boundary: w 1 =a 11 and w K =a mn are used to represent the starting point and the ending point of W, respectively.
连续性:对于wk=aij,其相邻元素wk-1=ai'j'满足i-i'≤1,j-j'≤1,此约束限定了W中的相邻元素为A中的相邻单元。Continuity: For w k =a ij , its adjacent elements w k-1 =a i'j' satisfy i-i'≤1, j-j'≤1, this constraint limits the adjacent elements in W to be Adjacent unit in A.
单调性:i-i'≥0,j-j'≥0。Monotonicity: i-i'≥0, j-j'≥0.
A中存在多条满足上述约束条件的W,P和Q的DTW距离是指累积距离最小的W,目标函数表示为公式(3):There are multiple Ws in A that satisfy the above constraints. The DTW distance between P and Q refers to the W with the smallest cumulative distance. The objective function is expressed as formula (3):
式(3)中:fDTW(P,Q)表示P与Q的DTW距离;K表示最小弯曲路径的长度;wi为最小弯曲路径中第i个元素。利用动态规划算法求解DTW距离,递归算法表示为式(4):In formula (3): f DTW (P, Q) represents the DTW distance between P and Q; K represents the length of the minimum curved path; w i is the i-th element in the minimum curved path. Use the dynamic programming algorithm to solve the DTW distance, and the recursive algorithm is expressed as formula (4):
式(4)中:D(i,j)表示元素aij与其前段的弯曲路径部分长度最小累计值之和。In formula (4): D(i, j) represents the sum of the minimum cumulative value of element a ij and the length of the curved path part of the preceding section.
计算出EIS曲线间的动态弯曲距离后,组成指纹图谱的特征向量,再次计算特征向量间的欧式距离,将计算结果与图谱偏移阈值相比较,判断指纹图谱是否匹配。图谱偏移阈值的确定方法为:在电池处于相同的SOH、SOC、温度T状态下,多次获取电池的多维EIS曲线,计算对应特征向量之间的距离,以其平均值作为该状态下阈值,以相同的方法得到其他SOH、SOC和温度T状态对应的判断阈值。After calculating the dynamic bending distance between the EIS curves, the eigenvectors of the fingerprints are composed, and the Euclidean distance between the eigenvectors is calculated again, and the calculation result is compared with the threshold value of the spectrum shift to judge whether the fingerprints match. The method of determining the shift threshold of the map is: when the battery is in the same SOH, SOC, and temperature T state, the multidimensional EIS curve of the battery is obtained multiple times, the distance between the corresponding feature vectors is calculated, and the average value is used as the threshold in this state , the judgment thresholds corresponding to other SOH, SOC and temperature T states are obtained in the same way.
更具体地,仍以图4a和图4b说明识别过程,计算图4a中幅值激励为I1与I2、I2与I3对应的EIS曲线间的动态弯曲距离dtw1、dtw2,组成特征向量la=[dtw1,dtw2],同理可得图4b的特征向量lb=[dtw1′,dtw2′],计算两个图谱的特征向量之间的距离,与图谱偏移距离阈值进行比较判断是否相匹配。More specifically, Fig. 4a and Fig. 4b are still used to illustrate the identification process, and the dynamic bending distances dtw 1 and
若匹配成功,则将匹配成功的图谱所对应的SOH和SOC状态作为待评估电池的SOH和SOC状态;If the matching is successful, the SOH and SOC states corresponding to the successfully matched spectra are used as the SOH and SOC states of the battery to be evaluated;
若匹配失败,则按照步骤S1的过程测出所述待评估电池的SOH以及在不同SOC、温度T条件下的多维EIS曲线簇,并加入到样本电池图谱库中;If the matching fails, measure the SOH of the battery to be evaluated and the multidimensional EIS curve clusters under different SOC and temperature T conditions according to the process of step S1, and add them to the sample battery library;
S3.按照步骤2的过程,对所有待评估电池进行匹配;S3. According to the process of
具体地,所有待评估电池的匹配流程如图5所示,无论当前电池是否匹配成功,其余电池都继续与图谱库中的图谱进行匹配,样本电池图谱库在评估过程中是不断完善的。Specifically, the matching process of all batteries to be evaluated is shown in Figure 5. Regardless of whether the current battery is successfully matched, the rest of the batteries will continue to be matched with the spectra in the spectrum library. The sample battery spectrum library is continuously improved during the evaluation process.
对于在获取不匹配电池的SOH及不同SOC、温度T下的多维EIS曲线簇的过程中出现新的不匹配电池,先判断其与正在测试的电池的图谱是否匹配,若不匹配则也获取该电池的SOH及不同SOC、温度T下的多维EIS曲线簇,将其加入到样本图谱库中,若匹配则无需进行此过程。此处认为不匹配电池数量较少,否则整批待检测电池一致性过差,失去回收利用价值。For a new unmatched battery in the process of obtaining the SOH of the unmatched battery and the multidimensional EIS curve cluster under different SOC and temperature T, first judge whether it matches the spectrum of the battery being tested, and if it does not match, also obtain the The SOH of the battery and the multi-dimensional EIS curve clusters under different SOC and temperature T are added to the sample spectrum library. If they match, this process is not necessary. Here it is considered that the number of unmatched batteries is small, otherwise the consistency of the whole batch of batteries to be tested is too poor, and the recycling value will be lost.
S4.将SOH作为一致性评估的第一指标,设定SOH的取值范围,并将处于所述取值范围内的所有待评估电池归为一组;SOH的取值范围由评估系统所要求的精度决定;例如选定SOH的值后,设置误差在±ΔSOH的范围;S4. Use SOH as the first indicator of consistency evaluation, set the value range of SOH, and group all the batteries to be evaluated within the value range; the value range of SOH is required by the evaluation system The accuracy is determined; for example, after selecting the value of SOH, the setting error is within the range of ±ΔSOH;
S5.对同组内的待评估电池进行编号,并将1号待评估电池作为参考电池,计算其他待评估电池的指纹图谱与参考电池的指纹图谱的相似度;指纹图谱的相似度的计算仍采用基于细节点模式指纹识别算法或基于纹理模式指纹识别算法。S5. Number the batteries to be evaluated in the same group, and use No. 1 battery to be evaluated as a reference battery, and calculate the similarity between the fingerprints of other batteries to be evaluated and the fingerprints of the reference battery; the calculation of the similarity of the fingerprints is still Adopt minutiae-based pattern fingerprint recognition algorithm or texture-based pattern fingerprint recognition algorithm.
S6.以相似度作为一致性评估的第二指标,将相似度高于所设定的阈值的待评估电池判断为具有一致性的电池,并归为一类,剩余的待评估电池按照步骤S5和步骤S6的过程继续归类,直到所有待评估电池完成分类。S6. Taking the similarity as the second index of the consistency evaluation, judge the battery to be evaluated whose similarity is higher than the set threshold as the battery with consistency, and classify it into one category, and the remaining batteries to be evaluated follow step S5 And the process of step S6 continues to sort until all the batteries to be evaluated are sorted.
若采用基于细节点模式指纹识别算法,匹配点的数量达到图谱相似要求的数量阈值即可认为指纹图谱对应的退役电池具有一致性,且匹配点数量越多,相似度越高,一致性越高;否则认为退役电池不具有一致性。If the minutiae-based fingerprint recognition algorithm is adopted, the retired battery corresponding to the fingerprint can be considered to be consistent if the number of matching points reaches the threshold required for the similarity of the spectrum, and the more the number of matching points, the higher the similarity and the higher the consistency ; Otherwise, the decommissioned battery is considered inconsistent.
若采用基于纹理模式匹配算法,特征向量之间的距离小于距离阈值即可认为指纹图谱对应的退役电池具有一致性,距离越小,相似度越高,一致性越高,否则认为退役电池不具有一致性。If the texture-based pattern matching algorithm is used, if the distance between the feature vectors is less than the distance threshold, it can be considered that the retired battery corresponding to the fingerprint map has consistency. The smaller the distance, the higher the similarity and the higher the consistency. consistency.
评估过程中所用的数量阈值和距离阈值的确定方法为:计算样本电池图谱库中分别对应待比较电池SOH、SOC、温度T状态的曲线簇间的相似度,以其作为阈值。以上便完成了退役动力电池SOH和一致性的评估。The quantity threshold and distance threshold used in the evaluation process are determined by calculating the similarity between the curve clusters corresponding to the SOH, SOC, and temperature T states of the battery to be compared in the sample battery spectrum library, and using it as the threshold. The evaluation of SOH and consistency of decommissioned power batteries is completed above.
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