CN112986848A - Method for estimating SOH of power battery - Google Patents
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- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/36—Arrangements 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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- G01R31/36—Arrangements 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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- G—PHYSICS
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- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/36—Arrangements 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
The invention relates to a method for estimating SOH of a power battery. The method for estimating the SOH of the power battery comprises the following steps: s1, establishing an equivalent circuit model of the lithium battery, identifying and acquiring the open-circuit voltage OCV of the lithium battery on line based on the model, and acquiring the SOC in the battery management system; s2, establishing an SOC-OCV relation table based on the collected OCV and SOC, and calculating the factory capacity of the battery; s3, continuously identifying the OCV of the battery in the battery running process, and calculating and recording the actual SOC of the battery based on the OCV and the SOC-OCV relation table; s4, calibrating two time points in the operation process, and obtaining the difference between the accumulated charge and discharge capacity and the actual SOC in the two time points based on the factory capacity of the battery and the actual SOC of the battery so as to obtain the current capacity of the battery; s5, calculating the SOH of the battery based on the current capacity of the battery; the method for estimating the SOH of the power battery can greatly improve the calculation accuracy of the SOH, is beneficial to saving manpower and material resources, has low use cost, and is convenient for popularization and use of the SOH in the industry.
Description
Technical Field
The invention belongs to the technical field of power batteries of electric vehicles, and particularly relates to a method for estimating SOH of a power battery.
Background
With the rapid development of new energy automobiles in China, a power lithium battery which is one of three major components is concerned more and more, and estimation methods of SOC, SOH, SOP and the like of the power lithium battery are always one of important research fields. In scientific research institutions and commercial institutions, much attention is paid to the performance index of the battery on the SOC, however, the SOH and the SOP are also very important performance indexes. Taking the SOH of the power battery to be discussed in the present invention as an example, the present invention not only relates to the accurate estimation of SOC, but also relates to the estimation of the remaining service life of the battery and the safe use of the full life cycle of the electric vehicle, and relates to the after-sale maintenance, echelon utilization, residual value evaluation, etc. of the battery.
Current SOH estimation methods can be broadly classified into three types, an experiment-based method, a model-based method, and a data-driven method. The methods based on the experiment include a table look-up method of accumulated charge, an empirical formula method, an Electrochemical Impedance Spectroscopy (EIS) method, and a capacity increase analysis (ICA) or a Differential Voltage Analysis (DVA) method. The accumulated electric quantity table look-up method obtains the relation between the accumulated charge/discharge data and the SOH through a previous experiment, and then look-up the accumulated charge/discharge data of the current battery to obtain the SOH of the battery. The empirical formula method is to fit experimental data by an empirical formula to obtain a battery SOH attenuation formula and then calculate the SOH of the current battery by using the formula, and the empirical formula method has the defects similar to the table look-up method of the accumulated electric quantity, and an improper fitting formula can bring extra errors. The EIS method determines impedance according to the frequency spectrum of the battery, thereby obtaining the degree of aging of the battery, but the method only stays in the stage of detecting SOH off-line. ICA and DVA are similar, and both utilize the characteristic that constant current charging/discharging curves with different aging degrees are different, and the defect of the characteristic is that errors caused by sensors cannot be avoided. The model-based method mainly comprises the steps of utilizing an equivalent circuit model of the battery to carry out parameter identification to obtain the internal resistance of the battery, and then utilizing a formulaAnd calculating the SOH, wherein the method has high requirement on the estimation accuracy of the internal resistance of the battery as can be seen from a formula. The method based on data is to adopt machine learning methods such as statistical learning, neural network and the like to estimate the SOH of the battery, wherein one step of the method is to establish a model by utilizing sensor measurement (such as voltage, current, temperature and the like) and the SOH, then train model parameters according to battery charging and discharging data, and finally estimate the SOH of the battery by using the trained model.
In view of the limitations of the above methods, in order to improve the SOH estimation accuracy and avoid the waste of time caused by the prior experiment, the SOH of the battery can be calculated by using the idea of estimating SOC and then estimating the capacity online.
Disclosure of Invention
The invention aims to solve the problems and provide a method for estimating the SOH of the power battery, which has a simple structure and is reasonably designed.
The invention realizes the purpose through the following technical scheme:
a method of estimating the SOH of a power cell, comprising the steps of:
s1, establishing an equivalent circuit model of the lithium battery, identifying and acquiring the open-circuit voltage OCV of the lithium battery on line based on the model, and acquiring the SOC in the battery management system;
s2, establishing an SOC-OCV relation table based on the collected OCV and SOC, and calculating the factory capacity of the battery;
s3, continuously identifying the OCV of the battery in the battery running process, and calculating and recording the actual SOC of the battery based on the OCV and the SOC-OCV relation table;
s4, calibrating two time points in the operation process, obtaining the accumulated charge-discharge capacity difference and the actual SOC difference in the two time points based on the factory capacity of the battery and the actual SOC of the battery, and calculating the current capacity of the battery based on the charge-discharge capacity difference and the actual SOC difference;
and S5, calculating the SOH of the battery based on the current capacity of the battery.
As a further optimization scheme of the present invention, in step S1, the equivalent current model sequentially includes resistors R connected in series0By a polarization resistor RP1And a polarization capacitor C connected in parallelP1First R of compositionCNetwork element comprising a polarization resistor RP2And a polarization capacitor C connected in parallelP2Second RC network unit and open-circuit voltage VOCThe terminal voltage of the lithium battery is equal to the open-circuit voltage VOCAnd the voltages at the two ends of the circuit are summed after the first RC network unit and the second RC network unit are connected in series.
As a further optimization scheme of the present invention, in step S1, the specific method for calculating the OCV based on the equivalent circuit model includes the following steps:
step S11, establishing a state equation and an observation equation of the system based on the equivalent current model of the battery;
step S12, transforming the system equation into least square form;
step S13, calculating the minimum two-times parameter by using the RLS algorithm based on UD decomposition;
in step S14, the OCV is solved by the least squares parameter.
As a further optimization scheme of the present invention, in step S11, the state equation and observation equation of the system are:
C=[1 1];
D=R0;
v in the above formulaP1(K) And VP2(k) Respectively, polarization voltage at k moment of 2 RC circuits, V (k) is terminal voltage of a battery at k moment, delta t is a sampling period, I (k) is current on the lithium battery at k moment, and V is considered in the inventionocConstant for a short period of time.
As a further optimization of the present invention, in step S12, the equation in the form of least squares is:
θ=[θ1,θ2,θ3,θ4,θ5,θ6]T;
and the number of the first and second electrodes,
θ1=a1+a2;
θ2=-a1a2;
θ3=R0+b1+b2;
θ4=-b1a2-b2a1-R0(a1+a2);
θ5=a1a2R0;
θ6=[1-(a1+a2)+a1a2]Voc。
as a further optimization scheme of the present invention, in step S13, the RLS algorithm based on UD decomposition has the following steps:
s131, setting k to be 1 or 2, reading V (k) and I (k), determining an initial value of theta, setting a unit upper triangular matrix U and a unit diagonal matrix D to initialize covariance P, and defining a forgetting factor 0 to be more than or equal to lambda to be less than or equal to 1;
Step S133, let a0Defining vectors f and g:
1, 2.. 6, the following steps are performed:
in the step of S1331, the step of the method,
aj=aj-1+fjgj;
D(k)jj=(aj-1D(k-1)jj)/(ajλ);
bj=gj;
cj=-fj/aj-1;
in the step of S1332, the step of the method,
when j is not equal to 1, the pair i 1, 2.
U(k)ij=U(k-1)ij+bicj;
bi=bi+U(k-1)ijbj;
Step S134, calculating l (k) ═ b1…bn]T/an;
In step S136, θ (k) ═ θ (k-1) + l (k) β (k).
As a further optimization scheme of the present invention, in step S14, the formula for solving OCV by the least squares parameter is:
as a further optimization scheme of the present invention, the method for establishing the SOC-OCV relationship table in step S2 is:
collecting N-cycle operation data before the lithium battery leaves a factory to identify the open-circuit voltage of the battery, and if a certain SOC value in the battery management system appears N times in total, calculating the OCV to be Voc,1,Voc,2,…,Voc,NThen the OCV corresponding to the SOC is the average value of the N OCV values; delivery capacity Q0The calculation method of (1) is that two time points are selected in each circulation process, the SOC difference of the two time points is required to be higher than 40%, and the accumulated charging capacity of the battery is assumed to be Q respectively at the two time pointsi c,1And Qi c,2The cumulative discharge point capacity is Qi d,1And Qi d,2The SOC in the battery management system is SOCi 1And SOCi 2Then, the battery capacity Q of the current cyclei 0The calculation formula of (2) is as follows:
assuming that n cycles are used to calculate M capacity values, the factory capacity Q0Is the average of the M capacity values, n ∈ [1, 5 ]]。
As a further preferable aspect of the present invention, in step S3, the method of calculating the SOC of the battery is a linear interpolation method based on the OCV and the SOC-OCV relationship table.
As a further optimization of the present invention, in step S4, the battery is calculatedThe current capacity method is that two time points in the current operation process are selected, the SOC difference of the two time points is required to be higher than 40%, and the accumulated charging capacity of the battery is assumed to be Q respectively at the two time pointsc,1And Qc,2The cumulative discharge point capacity is Qd,1And Qd,2The SOC in the battery management system is SOC1And SOC2Then, the battery capacity Q of the current cyclei 0The calculation formula of (2) is as follows:
the invention has the beneficial effects that: the invention avoids the consumption of time, manpower and material resources caused by battery experiments before leaving the factory, and saves resources; the SOC-OCV data is independently calculated for each battery, so that the matching between the data and the batteries is ensured, and the influence caused by the inconsistency of the batteries is eliminated; the scheme is easy to realize in engineering, high in estimation precision and convenient to popularize and use. The method has the advantages of ingenious design, convenient calculation, low use cost and convenience for popularization and use of SOH in the industry, and can greatly improve the calculation accuracy of SOH, and is beneficial to saving manpower and material resources.
Drawings
FIG. 1 is a model diagram of a second-order RC equivalent circuit of the lithium battery of the present invention.
Fig. 2 is a flow chart of the implementation of the present invention.
Fig. 3 is a current curve for a certain cycle of a battery in one embodiment of the present invention.
FIG. 4 is a comparison of estimated battery SOH and true SOH for practicing the present invention.
Detailed Description
The present application will now be described in further detail with reference to the drawings, it should be noted that the following detailed description is given for illustrative purposes only and is not to be construed as limiting the scope of the present application, as those skilled in the art will be able to make numerous insubstantial modifications and adaptations to the present application based on the above disclosure.
Example 1
As shown in fig. 1, a method for estimating SOH of a power battery includes the following steps:
s1, establishing an equivalent circuit model of the lithium battery, identifying and acquiring the open-circuit voltage OCV of the lithium battery on line based on the model, and acquiring the SOC in the battery management system; in the process, the running data of n cycles before the lithium battery leaves a factory is collected to identify the open-circuit voltage of the battery and the SOC value reported in the battery management system, wherein the SOC value is an initial precalculated value in the application; specifically, the equivalent current model sequentially comprises resistors R connected in series0By a polarization resistor RP1And a polarization capacitor C connected in parallelP1First R of compositionCNetwork element comprising a polarization resistor RP2And a polarization capacitor C connected in parallelP2Second RC network unit and open-circuit voltage VOCThe terminal voltage of the lithium battery is equal to the open-circuit voltage VOCAnd the voltages at the two ends of the circuit are summed after the first RC network unit and the second RC network unit are connected in series.
S2, establishing an SOC-OCV relation table based on the collected OCV and SOC, and calculating the factory capacity of the battery;
specifically, the method for establishing the SOC-OCV relationship table includes:
collecting N-cycle operation data before the lithium battery leaves a factory to identify the open-circuit voltage of the battery, and if a certain SOC value in the battery management system appears N times in total, calculating the OCV to be Voc,1,Voc,2,…,Voc,NThen the OCV corresponding to the SOC is the average value of the N OCV values;
delivery capacity Q0The calculation method of (1) is that two time points are selected in each circulation process, the SOC difference of the two time points is required to be higher than 40%, and the accumulated charging capacity of the battery is assumed to be Q respectively at the two time pointsi c,1And Qi c,2The cumulative discharge point capacity is Qi d,1And Qi d,2Management system of batteryThe SOC in the system is SOCi 1And SOCi 2Then, the battery capacity Q of the current cyclei 0The calculation formula of (2) is as follows:
assuming that n cycles are used to calculate M capacity values, the factory capacity Q0Is the average of the M capacity values, n ∈ [1, 5 ]]
S3, continuously identifying the OCV of the battery in the battery running process, and calculating and recording the actual SOC of the battery based on the OCV and the SOC-OCV relation table; the SOC value calculated from this SOC-OCV relationship table is referred to as an actual SOC value in the present embodiment. Specifically, the method for calculating the SOC of the battery is a linear interpolation method based on the OCV and the SOC-OCV relation table;
s4, calibrating two time points in the operation process, and calculating the current capacity of the battery based on the accumulated charge-discharge capacity difference and the actual SOC difference in the two time points; specifically, in step S4, the method for calculating the current capacity of the battery is to select two time points in the current operation process, and require that the SOC difference between the two time points is higher than 40%, assuming that the accumulated charging capacities of the battery at the two time points are Qc,1And Qc,2The cumulative discharge point capacity is Qd,1And Qd,2The SOC in the battery management system is SOC1And SOC2Then, the battery capacity Q of the current cyclei 0The calculation formula of (2) is as follows:
it should be further noted that, in step S1, the specific method for calculating the OCV based on the equivalent circuit model includes the following steps:
step S11, establishing a state equation and an observation equation of the system based on the equivalent current model of the battery;
step S12, transforming the system equation into least square form;
step S13, calculating the minimum two-times parameter by using the RLS algorithm based on UD decomposition;
in step S14, the OCV is solved by the least squares parameter.
In step S11, the state equation and observation equation of the system are:
C=[1 1];
D=R0;
v in the above formulaP1(K) And VP2(k) Respectively, polarization voltage at k moment of 2 RC circuits, V (k) is terminal voltage of a battery at k moment, delta t is a sampling period, I (k) is current on the lithium battery at k moment, and V is considered in the inventionocConstant for a short period of time;
in step S12, the equation in the form of least squares is:
θ=[θ1,θ2,θ3,θ4,θ5,θ6]T;
and the number of the first and second electrodes,
θ1=a1+a2;
θ2=-a1a2;
θ3=R0+b1+b2;
θ4=-b1a2-b2a1-R0(a1+a2);
θ5=a1a2R0;
θ6=[1-(a1+a2)+a1a2]Voc
in step S13, the RLS algorithm based on UD decomposition has the following steps:
s131, setting k to be 1 or 2, reading V (k) and I (k), determining an initial value of theta, setting a unit upper triangular matrix U and a unit diagonal matrix D to initialize covariance P, and defining a forgetting factor 0 to be more than or equal to lambda to be less than or equal to 1;
Step S133, let a0Defining vectors f and g:
1, 2.. 6, the following steps are performed:
in the step of S1331, the step of the method,
aj=aj-1+fjgj;
D(k)jj=(aj-1D(k-1)jj)/(ajλ);
bj=gj;;
cj=-fj/aj-1;
in the step of S1332, the step of the method,
when j is not equal to 1, the pair i 1, 2.
U(k)ij=U(k-1)ij+bicj;
bi=bi+U(k-1)ijbj;
Step S134, calculating l (k) ═ b1…bn]T/an;
Step S136, θ (k) ═ θ (k-1) + l (k) β (k);
in step S14, the formula for solving the OCV from the least squares parameter is:
in order to verify the estimation accuracy of the method for the SOH of the lithium battery, a battery pack is used for carrying out a discharge cycle experiment. The SOC of the battery is estimated and recorded by using a battery management system, and the battery management system can record the accumulated charge-discharge ampere hours of the battery at the same time. The battery pack is subjected to 200 charge-discharge cycles in total, and the capacity of the battery pack is tested once every 20 cycles for estimating the true SOC. The current for one cycle is shown in figure 3. The initial capacity and the SOC-OCV curve of the battery are estimated by using the data of the first cycle, the SOH of all the cycles is estimated, the estimation result is shown in FIG. 4, the curve of the real SOH is drawn in FIG. 4 at the same time, and as can be seen from the graph, the maximum error between the estimated SOH and the real SOH is lower, so that the method has higher estimation precision and certain superiority.
The above-mentioned embodiments only express several embodiments of the present invention, and the description thereof is more specific and detailed, but not construed as limiting the scope of the present invention. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the inventive concept, which falls within the scope of the present invention.
Claims (10)
1. A method of estimating the SOH of a power cell, comprising the steps of:
s1, establishing an equivalent circuit model of the lithium battery, identifying and acquiring the open-circuit voltage OCV of the lithium battery on line based on the model, and acquiring the SOC in the battery management system;
s2, establishing an SOC-OCV relation table based on the collected OCV and SOC, and calculating the factory capacity of the battery;
s3, continuously identifying the OCV of the battery in the battery running process, and calculating and recording the actual SOC of the battery based on the OCV and the SOC-OCV relation table;
s4, calibrating two time points in the operation process, obtaining the accumulated charge-discharge capacity difference and the actual SOC difference in the two time points based on the factory capacity of the battery and the actual SOC of the battery, and calculating the current capacity of the battery based on the charge-discharge capacity difference and the actual SOC difference;
and S5, calculating the SOH of the battery based on the current capacity of the battery.
2. The method of claim 1, wherein the step of estimating the SOH of the power cell comprises: in step S1, the equivalent current model includes resistors R connected in series0By a polarization resistor RP1And a polarization capacitor C connected in parallelP1First R of compositionCNetwork element comprising a polarization resistor RP2And a polarization capacitor C connected in parallelP2Second RC network unit and open-circuit voltage VOCThe terminal voltage of the lithium battery is equal to the open-circuit voltage VOCAnd the voltages at the two ends of the circuit are summed after the first RC network unit and the second RC network unit are connected in series.
3. A method of estimating SOH of a power cell according to claim 2, wherein: in step S1, the specific method of calculating the OCV based on the equivalent circuit model includes the steps of:
step S11, establishing a state equation and an observation equation of the system based on the equivalent current model of the battery;
step S12, transforming the system equation into least square form;
step S13, calculating the minimum two-times parameter by using the RLS algorithm based on UD decomposition;
in step S14, the OCV is solved by the least squares parameter.
4. A method of estimating SOH of a power cell according to claim 3, wherein:
in step S11, the state equation and observation equation of the system are:
C=[1 1];
D=R0;
v in the above formulaP1(K) And VP2(k) The polarization voltage of 2 RC circuits at the k moment, V (k) is the terminal voltage of the battery at the k moment, delta t is the sampling period, I (k) is the current of the lithium battery at the k moment, V (k) is the current of the lithium battery at the k momentocIs a constant.
5. The method of claim 4, wherein the step of estimating the SOH of the power cell comprises: in step S12, the equation in the form of least squares is:
θ=[θ1,θ2,θ3,θ4,θ5,θ6]T;
and the number of the first and second electrodes,
θ1=a1+a2;
θ2=-a1a2;
θ3=R0+b1+b2;
θ4=-b1a2-b2a1-R0(a1+a2);
θ5=a1a2R0;
θ6=[1-(a1+a2)+a1a2]Voc。
6. the method of claim 5, wherein the step of estimating the SOH of the power cell comprises: in step S13, the RLS algorithm based on UD decomposition has the following steps:
s131, setting k to be 1 or 2, reading V (k) and I (k), determining an initial value of theta, setting a unit upper triangular matrix U and a unit diagonal matrix D to initialize covariance P, and defining a forgetting factor 0 to be more than or equal to lambda to be less than or equal to 1;
Step S133, let a0Defining vectors f and g:
1, 2.. 6, the following steps are performed:
in the step of S1331, the step of the method,
aj=aj-1+fjgj;
D(k)jj=(aj-1D(k-1)jj)/(ajλ);
bj=gj;
cj=-fj/aj-1;
in the step of S1332, the step of the method,
when j is not equal to 1, the pair i 1, 2.
U(k)ij=U(k-1)ij+bicj;
bi=bi+U(k-1)ijbj;
Step S134, calculating l (k) ═ b1…bn]T/an;
In step S136, θ (k) ═ θ (k-1) + l (k) β (k).
8. the method of claim 7, wherein the step of estimating the SOH of the power cell comprises: the method of establishing the SOC-OCV relationship table in step S2 is:
collecting N-cycle operation data before the lithium battery leaves a factory to identify the open-circuit voltage of the battery, and if a certain SOC value in the battery management system appears N times in total, calculating the OCV to be Voc,1,Voc,2,…,Voc,NThen the OCV corresponding to the SOC is the average value of the N OCV values;
delivery capacity Q0The calculation method of (1) is that two time points are selected in each circulation process, the SOC difference of the two time points is required to be higher than 40%, and the accumulated charging capacity of the battery is assumed to be Q respectively at the two time pointsi c,1And Qi c,2The cumulative discharge point capacity is Qi d,1And Qi d,2The SOC in the battery management system is SOCi 1And SOCi 2Then, the battery capacity Q of the current cyclei 0The calculation formula of (2) is as follows:
assuming that n cycles are used to calculate M capacity values, the factory capacity Q0Is the average of the M capacity values, n ∈ [1, 5 ]]。
9. The method of claim 8, wherein the step of estimating the SOH of the power cell comprises: in step S3, the method of calculating the battery SOC is a linear interpolation method based on the OCV and the SOC-OCV relationship table.
10. The method of claim 9, wherein the step of estimating the SOH of the power cell comprises: in step S4, the method for calculating the current capacity of the battery is to select two time points in the current operation process, and require the SOC difference between the two time points to be higher than 40%, assuming that the accumulated charging capacities of the battery at the two time points are Qc,1And Qc,2Tired ofThe capacity of the measuring and discharging point is respectively Qd,1And Qd,2The SOC in the battery management system is SOC1And SOC2Then, the battery capacity Q of the current cyclei 0The calculation formula of (2) is as follows:
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US11416899B2 (en) * | 2018-07-11 | 2022-08-16 | State Grid Jiangxi Electric Power Company Limited Research Institute | Estimation method for whole life cycle cost of power battery in echelon utilization |
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