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CN111308379B - Battery health state estimation method based on local constant voltage charging data - Google Patents

Battery health state estimation method based on local constant voltage charging data Download PDF

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CN111308379B
CN111308379B CN202010173602.2A CN202010173602A CN111308379B CN 111308379 B CN111308379 B CN 111308379B CN 202010173602 A CN202010173602 A CN 202010173602A CN 111308379 B CN111308379 B CN 111308379B
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CN111308379A (en
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魏中宝
阮浩凯
何洪文
周稼铭
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Beijing Institute of Technology BIT
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    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/36Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
    • G01R31/392Determining battery ageing or deterioration, e.g. state of health
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
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    • G01R31/36Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
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Abstract

本发明公开了一种基于局部恒压充电数据的电池健康状态估计方法,包括以下步骤:S1.在不同温度和充电倍率条件下对电池进行循环充放电实验,实时测量电池的电流和端电压;S2.在不同温度和CC(恒流)充电倍率条件下,拟合CV(恒压)充电容量和CCCV(先恒流再恒压)充电容量的线性关系,建立线性模型的参数映射数据库;S3.建立CV阶段充电电流预测模型,利用局部CV充电数据,辨识模型参数,预测整段CV充电数据;S4.依据实际充电过程的温度和CC充电倍率,从参数映射数据库中选择相应的线性模型,根据估算的CV充电容量计算电池的SOH(健康状态)。本发明计算成本低,能克服传统方法需要完整充电数据的局限,仅通过局部CV充电数据即可高精度估计电池的SOH。

Figure 202010173602

The invention discloses a battery state-of-health estimation method based on local constant-voltage charging data, comprising the following steps: S1. Carrying out cyclic charge-discharge experiments on the battery under the conditions of different temperatures and charging rates, and measuring the current and terminal voltage of the battery in real time; S2. Under the conditions of different temperatures and CC (constant current) charging rates, fit the linear relationship between the CV (constant voltage) charging capacity and the CCCV (constant current and then constant voltage) charging capacity, and establish a parameter mapping database for the linear model; S3 . Establish a charging current prediction model in the CV stage, use the local CV charging data, identify the model parameters, and predict the entire CV charging data; S4. According to the actual charging process temperature and CC charging rate, select the corresponding linear model from the parameter mapping database, Calculate the SOH (State of Health) of the battery based on the estimated CV charge capacity. The invention has low calculation cost, can overcome the limitation of the traditional method requiring complete charging data, and can estimate the SOH of the battery with high accuracy only through the partial CV charging data.

Figure 202010173602

Description

Battery health state estimation method based on local constant voltage charging data
Technical Field
The present invention relates to state of health estimation of lithium ion batteries, and more particularly, to a battery state of health (SOH) estimation method based on local Constant Voltage (CV) charging data.
Background
Lithium ion batteries have the advantages of high energy density, long service life and the like, and are now the main energy storage tools of electric automobiles. However, as the number of cycles increases, the internal physical and chemical processes of the lithium ion battery change, and the capacity and performance of the lithium ion battery are continuously attenuated along with various side reactions, and even become invalid in severe cases, so that safety accidents are caused. The performance attenuation of the lithium ion battery system seriously influences the endurance mileage of the electric automobile, and greatly hinders the further popularization and promotion of the electric automobile. Therefore, accurately detecting the SOH of the battery is very important to the reliability of the electric vehicle.
Currently, methods for estimating SOH of a lithium ion battery are mainly classified into three types. The first is electrochemical measurement, which is mainly to measure impedance information of a battery through Electrochemical Impedance Spectroscopy (EIS) and map the impedance information to SOH; the method can describe the impedance more accurately, but the measuring process is complicated, a professional measuring instrument is needed, and the method is difficult to be applied practically. The second method is an estimation method based on a model, an electric model of the lithium ion battery is established by relying on theoretical supports such as Butler-Volmer law, kirchhoff law and the like, and parameters such as a plurality of states, capacity and the like are estimated by adopting filter algorithms such as extended Kalman filtering and the like; the method has the advantages of high estimation precision and strong robustness, has good universal applicability to different batteries, but has high requirements on model precision and high calculation cost, and has challenges in online application. The third method is an estimation method based on data driving, and utilizes battery voltage and current information which is convenient to measure to extract characteristic parameters with high correlation with battery aging so as to estimate the SOH of the battery; the method does not need a complex model, and reduces the calculation cost while ensuring the estimation precision. However, such methods require charging or discharging data in the full state of charge (SOC) range, and most of the practical applications of batteries can only obtain fragment data, so the environmental adaptability of such methods needs to be enhanced.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a battery health state estimation method based on local constant voltage charging data. Calibrating a linear relation between the CV charging capacity and the CCCV charging capacity, predicting current change characteristics of the residual section CV charging by adopting a battery second-order RC equivalent circuit model according to local CV charging data of the battery aiming at a typical scene that the CV charging stage is incomplete, further extracting a health factor and estimating the SOH of the battery. The method provided by the invention has low calculation complexity, overcomes the limitation that the traditional method needs complete charging data, and can realize high-precision estimation of the SOH of the battery only according to the charging data of the local CV.
The purpose of the invention is realized by the following technical scheme: a battery state of health estimation method based on local constant voltage charging data includes the following steps:
s1, carrying out a cyclic charge-discharge experiment on a battery under different temperature and charge multiplying power conditions, and measuring the current and terminal voltage of the battery in real time by adopting a current sensor and a voltage sensor;
s2, extracting the CV charging capacity by adopting an ampere-hour integration method, fitting a linear relation between the CV charging capacity and the CCCV charging capacity under different temperatures and CC charging multiplying power conditions, and establishing a parameter mapping database of a linear model;
wherein CV represents constant voltage, CC represents constant current, CCCV represents constant current first and then constant voltage;
s3, establishing a second-order RC equivalent circuit model, establishing a CV stage charging current prediction model on the basis of the second-order RC equivalent circuit model, identifying model parameters by using local CV charging data, and predicting the whole CV charging data;
and S4, according to the temperature and the CC charging rate in the actual charging process, selecting a corresponding linear model from the parameter mapping database in the step S2, and calculating the SOH of the battery according to the estimated CV charging capacity, wherein the SOH represents the state of health.
The invention has the beneficial effects that: the invention provides a battery SOH estimation method based on local CV charging dataCV-QCCCVIs calculated from the linear relationship ofCCCVAnd then estimating the SOH of the battery. The method of the invention has three advantages: first, the health factor Q can be directly extractedCVThe conversion of a complex capacity increment curve, a differential voltage curve and the like is not needed, so that the calculation cost can be reduced; second, Q in the method of the present inventionCV-QCCCVHas good linear relation, does not need complex machine learning algorithm, and can realize the SOH of the battery only through a simple linear modelHigh-precision estimation; and thirdly, the method only needs partial data of the CV charging stage, and has better practical application prospect.
Drawings
FIG. 1 is a flow chart of a method of the present invention;
FIG. 2 shows example QCVAnd QCCCVThe fitting curve of (1);
FIG. 3 is a schematic circuit diagram of a second-order RC equivalent circuit model in the embodiment;
FIG. 4 is a predicted curve of CV of a battery according to a second-order RC equivalent circuit model in an embodiment;
FIG. 5 shows the prediction error of the CV prediction curves in the examples.
Detailed Description
The technical solutions of the present invention are further described in detail below with reference to the accompanying drawings, but the scope of the present invention is not limited to the following.
As shown in fig. 1, a method for estimating SOH of a battery based on local CV charge data includes the steps of:
s1, carrying out a cyclic charge-discharge experiment on a battery under different temperature and charge multiplying power conditions, and measuring the current and terminal voltage of the battery in real time by adopting a current sensor and a voltage sensor;
the step S1 includes the following sub-steps:
s101, charging the battery to the state of charge (SOC) of 100% by adopting a constant-current-constant-voltage charging method, and monitoring the current I of the battery in real time in the charging processLAnd terminal voltage UlAnd storing the voltage U at the CC stagelThe current I at the CV stage is up to the preset cut-off valueLReaching a preset cut-off value;
s102, performing a discharge experiment by adopting a CC discharge method until the terminal voltage is reduced to a lower limit cut-off voltage, wherein the CC discharge multiplying power and the CC charge multiplying power do not need to be kept consistent;
s103, repeating S101-S102 until the rated capacity of the battery is reduced to the end-of-life standard, and the end voltage U at the CV stage in different cycleslNeed to be kept consistent, integrate the current and terminal voltage information collected during the process, establish a specific temperature and CC charge rateA battery aging database;
s104, repeating S101-S103 at different temperatures and different CC charging multiplying factors to obtain battery aging databases at different temperatures and different CC charging multiplying factor variables.
In the embodiment of the present application, after step S103 or S104 is finished, data preprocessing for missing value padding and error value deletion needs to be performed on the battery aging database. The error value comprises a value with overlarge deviation compared with the previous and next data (the deviation exceeds a preset threshold value compared with the previous and next data), and can be directly deleted during preprocessing; the missing value includes the condition that the current value and the voltage value at a certain moment are vacant, and the preprocessing mode includes but is not limited to padding by the average value of the previous data and the next data.
S2, extracting the CV charging capacity by adopting an ampere-hour integration method, fitting a linear relation between the CV charging capacity and the CCCV charging capacity under different temperatures and CC charging multiplying power conditions, and establishing a parameter mapping database of a linear model;
wherein CV represents constant voltage, CC represents constant current, CCCV represents constant current first and then constant voltage;
s201, selecting CV stage charging data of a plurality of cycles under the same temperature and CC charging rate from a battery aging database, and extracting CV charging capacity Q of each selected cycle by adopting an ampere-hour integration methodCVAs a health factor;
s202, calculating the CCCV charging capacity Q of each extracted cycle by adopting an ampere-hour integration methodCCCV
The calculation method of the charge capacity described in steps S201 and S202 is as follows:
Figure BDA0002410058780000031
Figure BDA0002410058780000032
wherein m is the initial moment of CV charging, n is the moment when the CV charging current reaches the preset cut-off value, IL(k) For the current value at the k-th time, Δ t load current sampleA time interval.
S203, fitting Q off line by adopting a least square methodCV-QCCCVThe formula is as follows:
QCCCV=aQCV+b
wherein a and b are fitting parameters obtained by least square fitting. The fitting method comprises the following specific steps:
according to QCVThe measured values of (A) were as follows: qCCCV=aQCV+ b calculates the corresponding QCCCVIs marked as
Figure BDA0002410058780000033
Calculating the measured value Q directly obtained from the experimental dataCCCVAnd a calculated value obtained by the calculation
Figure BDA0002410058780000034
The square sum R of the dispersion of (a), the formula is as follows:
Figure BDA0002410058780000041
substituting the linear equation to be fitted into the formula:
Figure BDA0002410058780000042
wherein Q isCCCViAnd QCViRespectively represent the ith QCCCVAnd QCVAnd (4) data. Then, the fitting parameters a and b are respectively subjected to partial derivation:
Figure BDA0002410058780000043
Figure BDA0002410058780000044
will measure the value QCCCVAnd QCVCalculated by substituting the formula when
Figure BDA0002410058780000045
And when the sum is 0, the values of a and b are obtained. In this embodiment, QCV-QCCCVThe linear function of (a) is:
QCCCV=-3.5853QCV+3.5344
the fitted curve is shown in FIG. 2;
s204, repeating S201-S203, obtaining the linear relation of the CV charging capacity and the CCCV charging capacity under different temperature and CC charging multiplying factor variables, namely a plurality of groups of [ a, b ] parameter sets under different temperature and CC charging multiplying factors, and forming a parameter mapping database of a linear model.
S3, establishing a battery second-order RC equivalent circuit model, establishing a CV stage charging current prediction model on the basis of the battery second-order RC equivalent circuit model, identifying model parameters by using local CV charging data, and predicting the whole CV charging data through a battery model;
s301, acquiring current and terminal voltage data in the CCCV charging process in real time by adopting a current and voltage sensor under an actual charging working condition; defining the time when the terminal voltage reaches the upper limit cut-off voltage and the current starts to drop as the algorithm starting time;
s302, establishing a second-order RC equivalent circuit model of the battery, wherein a circuit schematic diagram of the second-order RC equivalent circuit model is shown in FIG. 3;
the circuit equation of the second-order RC equivalent circuit model of the battery is as follows:
Figure BDA0002410058780000046
Figure BDA0002410058780000047
UOC+R0IL+Up1+Up2=Ul
wherein, Up1、Up2To polarize the voltage, UlIs terminal voltage, UocBeing batteriesOpen Circuit Voltage (OCV), ILIs a current, Rp1、Rp2、Cp1、Cp2And R0Model parameters to be identified, specifically: rp1、Rp2Is a polarization resistance, Cp1、Cp2Is a polarization capacitance, R0Ohmic internal resistance;
s303, establishing a prediction equation of the CV charging curve based on a battery second-order RC equivalent circuit model:
firstly, performing laplace transform on an equation of a second-order RC equivalent circuit model:
Figure BDA0002410058780000051
Figure BDA0002410058780000052
Figure BDA0002410058780000053
where s is the complex variable of the laplace transform. After a relational expression of the difference value of the current, the terminal voltage and the open circuit voltage is established, inverse Laplace transform is carried out on the equation:
Figure BDA0002410058780000054
wherein a ═ R0Rp1Rp2Cp1Cp2,b=R0Rp1Cp1+R0Rp2Cp2+Cp1Rp1Rp2+Cp2Rp1Rp2,c=R0+Rp2+Rp1. The calculated CV current is expressed as:
Figure BDA0002410058780000055
wherein, ILThe current value at time t (positive value during charging and negative value during discharging) is shown as (t). Open circuit voltage U of battery due to CV charging stageocIs generally close to the battery terminal voltage UlResult in (U)l-Uoc) The value of (c) is small. For simple calculation, in the CV stage charging current prediction model, a/c (U) is ignoredl-Uoc) To IL(t), i.e., establishing a CV-stage charging current prediction model as follows:
Figure BDA0002410058780000056
wherein, IL1、IL2、τeq,1、τeq,2In order to predict the parameters to be identified in the equation, the identification method adopts a Levenberg-Marquardt (LM) algorithm, and comprises the following steps:
setting the calculated value of current calculated according to the prediction equation as
Figure BDA0002410058780000057
Calculating the measured value I directly obtained from the experimental dataLAnd the calculated value
Figure BDA0002410058780000058
The square sum R of the dispersion of (a), the formula is as follows:
Figure BDA0002410058780000059
Figure BDA00024100587800000510
calculate the Jacobian matrix J (x):
Figure BDA0002410058780000061
wherein x isiRepresenting the parameters of the ith row in vector x. Subsequently, the gradient of R is calculated as:
g=R′(x)=J(x)Tf(x)
then, solving an iteration step h, wherein the formula is as follows:
Figure BDA0002410058780000062
wherein, Jk=J(xk),fk=f(xk),xkFor the value of x after iterating k times, I is an identity matrix, u is a positive number, and the function of shortening the iteration step length is realized in the formula, and the determination method is as follows:
Figure BDA0002410058780000063
Figure BDA0002410058780000064
where ρ is a gain ratio, and when ρ is greater than 0, the formula is as follows:
Figure BDA0002410058780000065
when ρ is equal to or less than 0, the formula is as follows:
uk+1=uk×vk
vk+1=2vk
in this embodiment, the initial value of v is 2, and the initial value of u is calculated as follows:
A0=J(x0)TJ(x0)
u0=τ×max{aii}
wherein, aiiIs a matrix A0The elements on the diagonal. Repeating the iterative process:
xk+1=xk-h
when the iteration process meets one of the following conditions, exiting the iteration;
g≤ε1
‖h‖≤ε2(‖x‖+ε2)
wherein | represents the matrix norm, ε1、ε2Any small value can be selected as the termination condition for the preset parameter, and the value range can be 10-8~10-12The concrete adjustment can be made according to the actual situation; when the iteration is judged to meet the termination condition, I at the momentL1、IL2、τeq,1、τeq,2The value of (a) is the identification result, and the parameter identification result in this embodiment is: i isL1=0.9545、IL2=0.5455、τeq,1=769.23、τeq,2=2564.1;
S304, if the CV charging is not cut off in advance, namely the charging is finished until the current is reduced to the CV cut-off current, recording the complete CV charging capacity according to an ampere-hour integration method; if the CV charging is cut off in advance, that is, the current does not decrease to the CV cut-off current at the end of CV, the change of the future current is calculated according to the charging current prediction model in S303 until the CV cut-off current is reached, and the complete CV charging capacity is calculated according to an ampere-hour integration method.
S4, according to the temperature and the CC charging multiplying power in the actual charging process, selecting a corresponding linear model from the parameter mapping database in the S2, and calculating the SOH of the battery according to the estimated CV charging capacity, wherein the specific implementation scheme is as follows:
selecting a corresponding linear model in the parameter mapping database in S204 according to the actual temperature and the CC charging multiplying power; q acquired in S304CVSubstitution into a Linear model to calculate QCCCVAnd further calculating the SOH of the battery at the current moment, wherein the formula is as follows:
QCCCV=-3.5853QCV+3.5344
Figure BDA0002410058780000071
where S is the estimation of battery SOH, QratedIs the nominal capacity of the battery.
And estimating the health state of the battery in real time according to the steps, comparing the health state of the battery with the calculated health state of the battery according to a preset service life ending standard, and judging whether the current health state of the battery meets the safety standard or not.
In the embodiment of the patent, 18650 lithium ion batteries with nominal capacity of 2Ah are taken as experimental objects, the method S1 is carried out at different temperatures, and battery aging databases with different temperatures and CC discharge rates are established. Next, Q is calculated by the ampere-hour integration methodCVAnd QCCCVFitting Q by least squaresCVAnd QCCCVThe linear relationship of (a) to (b) constitutes a parameter mapping database. Aiming at a typical scene that CV charging is incomplete, a second-order RC equivalent circuit model is built, and on the basis, a CV stage charging current prediction model is established. And then, estimating the SOH of the battery to be tested. The upper limit cut-off voltage of the terminal voltage of the battery to be tested is 4.2A, CV, the lower limit cut-off current of the current is 0.05A, the constant current of the discharge experiment is 2A, and the lower limit cut-off voltage is 2.5V. When the current data at the CV stage is complete, the ampere-hour integration method can be directly adopted to calculate QCV(ii) a And when the current of the battery to be measured in the CV stage does not fall to the CV lower limit cut-off current, fitting local CV current data by using the established charging current prediction model, and predicting the residual CV current until the CV cut-off current is reached. The CV prediction curve of the charging current prediction model in the embodiment is shown in fig. 4, and the prediction error is shown in fig. 5. Finally, the complete CV capacity was calculated to be 0.5507Ah according to the ampere-hour integration method. Selecting corresponding linear model, and calculating to obtain QCCCVIt was 1.56 Ah. Finally pass through QCCCVThe ratio of the calibrated capacity determines the SOH of the cell to be 78%. And Q obtained by actual measurementCCCV1.6109Ah, the estimated value differs from 0.0509Ah with a relative error of 3.1%. The actual battery SOH was 80.55%, and the relative error of the estimate was within 3%. Therefore, the method can estimate the health state of the battery based on the local CV charging data, and has low calculation cost and small data requirement under the condition of meeting the precision requirement.
In summary, the invention provides a battery SOH estimation method based on local CV charging data, and the high-precision estimation of the health state of a battery can be realized only according to the local CV charging data through a model prediction method, so that the limitation that the traditional method needs complete charging data is overcome. The method only involves a voltage sensor and a current sensor, and does not need complex experimental equipment. Q in the processCVAnd QCCCVThe calculation cost is low, and the conversion of a complex capacity increment curve, a differential voltage curve and the like is not needed. Q of the processCVAnd QCCCVThe method has good linear relation, does not need a complex machine learning algorithm, and can realize the high-precision estimation of the SOH of the battery only through a simple linear model.
The foregoing is a preferred embodiment of the present invention, it is to be understood that the invention is not limited to the form disclosed herein, but is not to be construed as excluding other embodiments, and is capable of other combinations, modifications, and environments and is capable of changes within the scope of the inventive concept as expressed herein, commensurate with the above teachings, or the skill or knowledge of the relevant art. And that modifications and variations may be effected by those skilled in the art without departing from the spirit and scope of the invention as defined by the appended claims.

Claims (6)

1.一种基于局部恒压充电数据的电池健康状态估计方法,其特征在于:包括以下步骤:1. A method for estimating battery state of health based on local constant voltage charging data, characterized in that it comprises the following steps: S1.在不同温度和CC充电倍率条件下对电池进行先恒流再恒压的循环充放电实验,采用电流传感器和电压传感器,实时测量电池的电流和端电压;S1. Under the conditions of different temperatures and CC charging rates, the battery is subjected to a cyclic charge-discharge experiment of constant current and then constant voltage, and the current sensor and voltage sensor are used to measure the current and terminal voltage of the battery in real time; S2.采用安时积分法提取CV充电容量,在不同温度和CC充电倍率条件下,拟合CV充电容量和CCCV充电容量的线性关系,建立线性模型的参数映射数据库;S2. Use the ampere-hour integration method to extract the CV charging capacity, fit the linear relationship between the CV charging capacity and the CCCV charging capacity under the conditions of different temperatures and CC charging rates, and establish a parameter mapping database of the linear model; 其中CV表示恒压,CC表示恒流,CCCV表示先恒流再恒压;Among them, CV means constant voltage, CC means constant current, and CCCV means first constant current and then constant voltage; S3.建立二阶RC等效电路模型,在其基础上,建立CV阶段充电电流预测模型,利用局部CV充电数据,辨识模型参数,预测整段CV充电数据;S3. Establish a second-order RC equivalent circuit model, based on which, establish a CV stage charging current prediction model, use local CV charging data, identify model parameters, and predict the entire CV charging data; S4.依据实际充电过程的温度和CC充电倍率,从步骤S2所述参数映射数据库中选择相应的线性模型,由步骤S3预测得到的整段CV 充电数据估算CV充电容量,根据估算的CV充电容量计算电池的SOH,其中SOH表示健康状态。S4. According to the temperature of the actual charging process and the CC charging rate, select the corresponding linear model from the parameter mapping database described in step S2, estimate the CV charging capacity from the entire CV charging data predicted in step S3, and estimate the CV charging capacity according to the estimated CV charging capacity. Calculate the SOH of the battery, where SOH represents the state of health. 2.根据权利要求1所述的一种基于局部恒压充电数据的电池健康状态估计方法,其特征在于:所述步骤S1包括以下子步骤:2. A method for estimating battery state of health based on local constant voltage charging data according to claim 1, wherein the step S1 comprises the following sub-steps: S101.采用先恒流再恒压的充电方法将电池充电至SOC达到100%,在充电过程中实时监测电池的电流IL和端电压Ul,并进行保存,CC阶段端电压Ul到达预设的截止值为止、CV阶段电流IL到达预设的截止值为止;S101. Use the charging method of constant current and then constant voltage to charge the battery until the SOC reaches 100%, monitor the current IL and terminal voltage Ul of the battery in real time during the charging process, and save them, and the terminal voltage Ul in the CC stage reaches the preset value Until the set cut-off value, the CV stage current IL reaches the preset cut-off value; S102.采用CC放电方法进行放电实验,直至端电压下降至下限截止电压,CC放电倍率和CC充电倍率不需要保持一致;S102. Use the CC discharge method to conduct the discharge experiment until the terminal voltage drops to the lower cut-off voltage, and the CC discharge rate and CC charge rate do not need to be consistent; S103.重复S101-S102,直至电池额定容量下降到寿命终止标准,不同循环中CV阶段端电压Ul需要保持一致,整合过程中采集的电流和端电压信息,建立特定温度和CC充电倍率下电池老化数据库;S103. Repeat S101-S102 until the rated capacity of the battery drops to the end-of-life standard. The terminal voltage U l in the CV stage needs to be consistent in different cycles. The current and terminal voltage information collected during the process is integrated to establish the battery at a specific temperature and CC charging rate. aging database; S104.在不同的温度和CC充电倍率下重复进行S101-S103,获得不同温度和CC充电倍率变量下的电池老化数据库。S104. Repeat S101-S103 at different temperatures and CC charging rates to obtain a battery aging database under different temperature and CC charging rate variables. 3.根据权利要求2所述的一种基于局部恒压充电数据的电池健康状态估计方法,其特征在于:所述步骤S1还包括:在步骤S103或S104结束后,对所述的电池老化数据库进行遗漏值填补和错误值删除的数据预处理。3 . The method for estimating battery state of health based on local constant voltage charging data according to claim 2 , wherein the step S1 further comprises: after the end of step S103 or S104 , updating the battery aging database on the battery aging database. 4 . Data preprocessing for missing value imputation and error value removal. 4.根据权利要求2所述的一种基于局部恒压充电数据的电池健康状态估计方法,其特征在于:所述步骤S2中包括以下子步骤:4. The method for estimating battery state of health based on local constant voltage charging data according to claim 2, wherein the step S2 includes the following sub-steps: S201.从电池老化数据库中选取同一温度和CC充电倍率下的若干循环的CV阶段充电数据,采用安时积分法提取所选取各个循环的CV充电容量QCV作为健康因子;S201. Select the CV stage charging data of several cycles under the same temperature and CC charging rate from the battery aging database, and use the ampere-hour integration method to extract the selected CV charging capacity Q CV of each cycle as a health factor; S202.采用安时积分法,计算所选取各个循环的CCCV充电容量QCCCVS202. adopt the ampere-hour integration method to calculate the CCCV charging capacity Q CCCV of each cycle selected; S203.采用最小二乘法,离线拟合QCV-QCCCV的线性关系,公式如下:S203. Use the least squares method to fit the linear relationship of Q CV -Q CCCV off-line. The formula is as follows: QCCCV=aQCV+bQ CCCV = aQ CV +b 其中,a、b是最小二乘法拟合得到的拟合参数,拟合的具体过程如下:Among them, a and b are the fitting parameters obtained by the least squares fitting. The specific process of fitting is as follows: 根据QCV的实测值,按照:QCCCV=aQCV+b计算出对应的QCCCV,记为
Figure FDA0002771296360000021
According to the measured value of Q CV , calculate the corresponding Q CCCV according to: Q CCCV =aQ CV +b, denoted as
Figure FDA0002771296360000021
计算由实验数据直接得到的实测值QCCCV和由计算得到的计算值
Figure FDA0002771296360000022
的离差的平方和R,公式如下:
Calculate the measured value Q CCCV directly obtained from the experimental data and the calculated value obtained from the calculation
Figure FDA0002771296360000022
The sum of squares of the dispersion R, the formula is as follows:
Figure FDA0002771296360000023
Figure FDA0002771296360000023
将要拟合的线性方程代入公式:Substitute the linear equation to be fitted into the formula:
Figure FDA0002771296360000024
Figure FDA0002771296360000024
其中,QCCCVi和QCVi分别代表第i个QCCCV和QCV数据;随后,对拟合参数a、b分别求偏导:Among them, Q CCCVi and Q CVi represent the i-th Q CCCV and Q CV data, respectively; then, the partial derivatives of the fitting parameters a and b are calculated respectively:
Figure FDA0002771296360000025
Figure FDA0002771296360000025
Figure FDA0002771296360000026
Figure FDA0002771296360000026
将实测值QCCCV和QCV代入上述公式计算,当
Figure FDA0002771296360000027
同时为0时,此时a、b的值即为所求;
Substitute the measured values Q CCCV and Q CV into the above formula to calculate, when
Figure FDA0002771296360000027
When both are 0, the values of a and b are the required values;
S204.重复进行S201-S203,获得不同温度和CC充电倍率变量下CV充电容量和CCCV充电容量的线性关系,即多组不同温度和CC充电倍率下的[a,b]参数集,构成线性模型的参数映射数据库。S204. Repeat S201-S203 to obtain the linear relationship between the CV charging capacity and the CCCV charging capacity under different temperature and CC charging rate variables, that is, multiple sets of [a, b] parameters under different temperatures and CC charging rates to form a linear model The parameter mapping database.
5.根据权利要求4所述的一种基于局部恒压充电数据的电池健康状态估计方法,其特征在于:所述步骤S3中包括以下子步骤:5. A method for estimating battery state of health based on local constant voltage charging data according to claim 4, wherein the step S3 includes the following sub-steps: S301.在实际充电工况下采用电流和电压传感器实时采集CCCV充电过程中的电流和端电压数据;定义端电压到达上限截止电压、电流开始下降的时间为算法起始时间;S301. Use current and voltage sensors to collect real-time current and terminal voltage data during CCCV charging under actual charging conditions; define the time when the terminal voltage reaches the upper limit cut-off voltage and the current begins to drop as the algorithm start time; S302.建立电池二阶RC等效电路模型;S302. Establish a second-order RC equivalent circuit model of the battery; 电池二阶RC等效电路模型的电路方程如下:The circuit equation of the battery second-order RC equivalent circuit model is as follows:
Figure FDA0002771296360000028
Figure FDA0002771296360000028
Figure FDA0002771296360000031
Figure FDA0002771296360000031
UOC+R0IL+Up1+Up2=Ul U OC +R 0 I L +U p1 +U p2 =U l 其中,Up1、Up2为极化电压,Ul为端电压,Uoc为电池的开路电压,IL为电流,Rp1、Rp2、Cp1、Cp2和R0是待辨识的模型参数,具体的说:Rp1、Rp2为极化电阻,Cp1、Cp2为极化电容,R0为欧姆内阻;Among them, U p1 and U p2 are polarization voltages, U l is the terminal voltage, U oc is the open circuit voltage of the battery, IL is the current, and R p1 , R p2 , C p1 , C p2 and R 0 are the models to be identified Parameters, specifically: R p1 and R p2 are polarization resistances, C p1 and C p2 are polarization capacitors, and R 0 is ohmic internal resistance; S303.基于电池二阶RC等效电路模型,建立CV充电曲线的预测方程:S303. Based on the second-order RC equivalent circuit model of the battery, establish the prediction equation of the CV charging curve:
Figure FDA0002771296360000032
Figure FDA0002771296360000032
其中,t为时间,IL1、IL2、τeq,1、τeq,2为预测方程中的待辨识参数,辨识方法采用列文伯格-马夸尔特算法,步骤如下:Among them, t is the time, I L1 , I L2 , τ eq,1 , τ eq,2 are the parameters to be identified in the prediction equation, and the identification method adopts the Levenberg-Marquardt algorithm, and the steps are as follows: 设按照预测方程计算得到的电流计算值为
Figure FDA0002771296360000033
Assuming that the calculated current calculated according to the prediction equation is
Figure FDA0002771296360000033
计算由实验数据直接得到的实测值IL和计算得到的计算值
Figure FDA0002771296360000034
的离差的平方和R,公式如下:
Calculate the measured value IL and the calculated value obtained directly from the experimental data
Figure FDA0002771296360000034
The sum of squares of the dispersion R, the formula is as follows:
Figure FDA0002771296360000035
Figure FDA0002771296360000035
其中,x为待辨识参数向量;为最小化离差的平方和,寻找数据的最佳函数匹配,列文伯格-马夸尔特算法参数拟合过程如下:Among them, x is the parameter vector to be identified; in order to minimize the square sum of dispersion and find the best function matching of the data, the parameter fitting process of the Levenberg-Marquardt algorithm is as follows: 首先,计算R(x)的梯度g:First, calculate the gradient g of R(x): g=R′(x)=J(x)Tf(x)g=R'(x)=J(x) T f(x) 其中,J(x)是R(x)的雅克比矩阵,其次,求解迭代步长h:where J(x) is the Jacobian matrix of R(x), and second, solve for the iteration step size h:
Figure FDA0002771296360000036
Figure FDA0002771296360000036
其中,Jk=J(xk),fk=f(xk),xk为迭代k次后x的值,I为单位矩阵,u为正数,在公式中起到缩短迭代步长的作用,随后对xk数值进行更新:Among them, J k =J(x k ), f k =f(x k ), x k is the value of x after k iterations, I is the identity matrix, and u is a positive number, which shortens the iteration step in the formula , then update the value of x k : xk+1=xk-hx k+1 = x k -h 重复迭代过程,迭代过程中以下条件之一被满足时,则达到所需迭代精度,退出迭代;Repeat the iterative process. When one of the following conditions is satisfied during the iterative process, the required iteration accuracy is achieved, and the iteration is exited; g≤ε1 g≤ε 1 ‖h‖≤ε2(‖x‖+ε2)‖h‖≤ε 2 (‖x‖+ε 2 ) 其中,‖·‖代表矩阵范数,ε1、ε2为预设参数,作为终止条件;当判断迭代满足终止条件时,此时的IL1、IL2、τeq,1、τeq,2的值,即为辨识结果;Among them, ‖·‖ represents the matrix norm, ε 1 , ε 2 are preset parameters, as termination conditions; when it is judged that the iteration meets the termination conditions, at this time I L1 , I L2 , τ eq,1 , τ eq,2 The value of is the identification result; S304.如果CV充电无提前截止,即充电直至电流降至CV截止电流结束,则依据安时积分法记录完整的CV充电容量;如果CV充电提前截止,即CV结束时电流未降至CV截止电流,则依据S303中所述的CV充电曲线的预测方程推算未来电流变化,直至到达CV截止电流,再依据安时积分法计算完整的CV充电容量。S304. If the CV charging is not terminated in advance, that is, charging until the current drops to the CV cut-off current, the complete CV charging capacity is recorded according to the ampere-hour integration method; if the CV charging is terminated early, that is, the current does not drop to the CV cut-off current at the end of the CV , then the future current change is estimated according to the prediction equation of the CV charging curve described in S303 until the CV cut-off current is reached, and then the complete CV charging capacity is calculated according to the ampere-hour integration method.
6.根据权利要求5所述的一种基于局部恒压充电数据的电池健康状态估计方法,其特征在于:所述步骤S4中根据估算的CV充电容量,估计电池的SOH,具体包括:6. A method for estimating battery state of health based on local constant voltage charging data according to claim 5, wherein in step S4, the SOH of the battery is estimated according to the estimated CV charging capacity, specifically comprising: 依据实际温度和CC充电倍率,在S204所述的参数映射数据库中选择相应的线性模型;由步骤S303的预测方程预测得到整段VC充电数据,并按照步骤S304估算CV充电容量QCV,将S304中获取的QCV代入到线性模型中计算QCCCV,进而计算当前时刻电池的SOH,公式如下:According to the actual temperature and the CC charging rate, the corresponding linear model is selected in the parameter mapping database described in S204; the whole section of VC charging data is predicted by the prediction equation in step S303, and the CV charging capacity Q CV is estimated according to step S304, and the S304 The Q CV obtained in , is substituted into the linear model to calculate Q CCCV , and then the SOH of the battery at the current moment is calculated. The formula is as follows:
Figure FDA0002771296360000041
Figure FDA0002771296360000041
其中,S是电池SOH的估计结果,Qrated是电池的标定容量;Among them, S is the estimated result of the battery SOH, and Q rated is the rated capacity of the battery; 按照上述步骤对电池的健康状态进行实时估计,根据预设的寿命终止标准与计算所得的电池健康状态,比较并判定当前电池健康状态是否符合安全标准。According to the above steps, the state of health of the battery is estimated in real time, and whether the current state of health of the battery complies with the safety standard is compared and determined according to the preset end-of-life standard and the calculated state of health of the battery.
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