CN112816893B - Method for rapidly estimating capacity of battery pack based on residual charging capacity of battery pack monomer - Google Patents

Method for rapidly estimating capacity of battery pack based on residual charging capacity of battery pack monomer Download PDF

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CN112816893B
CN112816893B CN202110002396.3A CN202110002396A CN112816893B CN 112816893 B CN112816893 B CN 112816893B CN 202110002396 A CN202110002396 A CN 202110002396A CN 112816893 B CN112816893 B CN 112816893B
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battery pack
capacity
discharge
soc
charging
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CN112816893A (en
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郑岳久
侯思譞
来鑫
卢勇
周龙
顾黄辉
庞康
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University of Shanghai for Science and Technology
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    • GPHYSICS
    • 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]
    • G01R31/385Arrangements for measuring battery or accumulator variables
    • G01R31/387Determining ampere-hour charge capacity or SoC
    • G01R31/388Determining ampere-hour charge capacity or SoC involving voltage measurements

Abstract

The invention relates to a method for quickly estimating the capacity of a battery pack based on the residual charging capacity of a battery, which aims at the condition that the capacity of the battery after being formed and sorted out from a factory is known, and the SOC causes slight difference due to self-discharge factors, so as to estimate the capacity. The method comprises the steps of selecting a simulated charging reference curve, calculating the SOC of a single battery, calculating the capacity of a battery pack, using a minimum residual discharging electric quantity curve as a discharging reference curve, calculating the difference between the maximum residual discharging electric quantity and the minimum residual discharging electric quantity in the battery pack to obtain the residual discharging time range, obtaining a voltage value on the discharging reference curve by utilizing an interpolation method, correcting the voltage difference caused by the internal resistance difference, finally predicting the voltage range under the full-discharge state of the battery pack, and finally discharging the battery pack to the factory voltage. The invention can greatly reduce the time for estimating the capacity of the battery pack leaving a factory, and has higher-precision estimation of the capacity of the battery pack and the voltage range estimation of the battery pack in a full discharge state.

Description

Method for rapidly estimating capacity of battery pack based on residual charging capacity of battery pack monomer
Technical Field
The invention belongs to the field of lithium ion battery pack capacity estimation, and mainly relates to a method for quickly estimating the battery pack capacity based on the residual charging capacity of a battery.
Background
With the vigorous advocation of new energy development in China, new energy automobiles are more and more favored by consumers. The lithium ion battery has become the mainstream choice of the current vehicle-mounted power battery due to the characteristics of high specific energy, large specific power, long cycle life, environmental protection and no pollution. However, the lithium ion battery will age and have a capacity fading along with the use and storage, which will directly affect the driving range of the electric vehicle. The lithium ion battery is a crucial part of the electric automobile, and the size of the battery pack capacity of the lithium ion battery is related to the maximum driving range of the electric automobile, so that the determination of the battery pack capacity is of great help for the estimation of the remaining driving range of the electric automobile. How to accurately estimate the capacity of the battery in the battery pack and predict the life of the battery becomes a new challenge for the present battery management system.
Because of the inconsistency among the individual cells in a lithium ion battery, the battery capacity and the capacity of the individual cells are different. At present, many studies are made on capacity estimation and SOC estimation of single batteries at home and abroad, but due to inconsistency of the single batteries, the capacity of a battery pack after grouping has a certain difference, and it is not preferable to estimate the capacity of the battery pack according to a single battery capacity estimation method. The initial capacity test of the battery pack can be obtained through experimental measurement, full charge and full discharge experiments are carried out on the battery pack according to a test means suggested by a manufacturer, and then the initial capacity of the battery pack is obtained. However, due to the evolution of the battery pack capacity, the significance of the initial capacity of the battery pack obtained through an experimental means is limited, and the experimental method has a lot of uncertainty and inaccuracy, for example, for batteries which are sorted after formation and leave a factory, SOC differences exist among single batteries due to self-discharge factors, and in addition, a lot of time is needed for carrying out full charge and full discharge experiments on the battery pack, and a lot of manpower and time are consumed in the process.
Disclosure of Invention
The present invention is directed to overcoming the above-mentioned drawbacks of the prior art and providing a method for quickly estimating the capacity of a battery pack based on the remaining charge capacity of the battery.
The purpose of the invention can be realized by the following technical scheme:
a method for rapidly estimating capacity of a battery pack based on a remaining charge capacity of a battery, the method comprising the steps of:
s1: fully charging the battery pack, wherein a curve which reaches a charging cut-off voltage firstly is taken as a charging reference curve;
s2: carrying out curve change on each single charging curve through the charging reference curve to obtain the SOC of each single battery in the battery pack, and further calculating the battery pack capacity;
s3: calculating the residual discharge electric quantity of each single battery after the battery pack is fully charged, and taking a minimum residual discharge electric quantity curve as a discharge reference curve;
s4: obtaining residual discharge time range by calculating the difference between the maximum residual discharge electric quantity and the minimum residual discharge electric quantity in the battery pack;
s5: obtaining a voltage value on the discharge reference curve by using an interpolation method, correcting a voltage difference caused by the internal resistance difference, and finally predicting a voltage extreme difference of the battery pack in a full discharge state;
s6: and discharging the battery pack to the factory voltage.
Based on the scheme, the battery pack comprises N single batteries, and N is more than or equal to 2.
Based on the scheme, the battery type in the lithium ion battery pack is a factory-sorted battery, the capacity of the battery is known, and the SOC causes slight difference due to self-discharge factors.
Based on the scheme, the step S1 is to fully charge the battery pack to obtain a charging curve of each single battery in the battery pack, and a curve which is firstly charged to the charging cut-off voltage is used as a charging reference curve.
Based on the scheme, the SOC of each single battery in the battery pack is obtained firstly. For the cell leading up to the charge cut-off voltage in step S2, since its capacity is already full of the constant charge current, its SOC may be expressed as:
SOC0=100%
wherein: SOC0Indicates the SOC of the cell that was charged first to the charge cut-off voltage.
Based on the above scheme, in step S2, for a cell that cannot be charged to the charge cut-off voltage, the remaining charge capacity needs to be calculated, and the cell is charged according to the charge reference curve
Figure BDA0002882029590000021
Interpolating on the curve to obtain a curve on the charging reference curve
Figure BDA0002882029590000022
Corresponding time tchg' then the remaining charging time of the cell is derivedchg=(tchg-tchg'), its SOC can be expressed as:
Figure BDA0002882029590000023
wherein:
Figure BDA0002882029590000031
indicating the voltage value, t, of the cell at the end of chargingchg' expressed on the charging reference curve
Figure BDA0002882029590000032
Corresponding time of day, IchgFor charging current, Δ tchgFor remaining charging time, SOCiIndicates the SOC of the cell after the end of charging,
Figure BDA0002882029590000033
to correct the coefficient, C0The factory nominal capacity of the cell which is charged first to the charge cut-off voltage.
Based on the above scheme, after obtaining the SOC and the capacity of each battery cell in the battery pack in step S2, since the capacity of the battery pack can be expressed as the sum of the minimum remaining discharge capacity and the minimum remaining charge capacity, the capacity can be expressed as:
Cpack=min(SOCend·C)+min((1-SOCend)·C)
wherein: cpackIs the battery capacity, SOCendThe vector is formed by SOC of all single batteries in the battery pack after full charge, C is formed by capacity of all single batteries in the battery pack, an operator min () represents the minimum value of elements in the vector, and an operator represents the corresponding multiplication of the elements among the vectors.
Based on the above scheme, in step S3, for the first full cell, the discharge capacity is the factory nominal capacity: q0=C0If the discharged electric quantity of the single battery which cannot be fully charged is the electric quantity of the single battery at the time of the end of charging, the SOC of the single battery after the end of charging needs to be obtained, and the SOC of the single battery is obtained according to the SOC of the single battery obtained in step S2iThen the value after the charging is finished can be calculatedThe electric quantity of the monomer is as follows: qi=SOCi·Ci
Wherein: SOCiRepresents SOC, Q of cell incapable of being charged to charge cut-off voltageiExpressed as the discharge capacity of the cell, CiIs the factory nominal capacity of the monomer.
Based on the scheme, the discharge electric quantity of each monomer in the battery pack is obtained, and the minimum discharge electric quantity curve is used as a discharge reference curve.
Based on the above scheme, in step S4, the discharge capacity Q of each cell is first obtainedi
Based on the above scheme, the step S4 further calculates the remaining discharge capacity range, which can be expressed as:
ΔQmax=max(SOCend·C)-min(SOCend·C)
wherein: delta QmaxRepresenting the residual discharge capacity range, the operator max () representing the maximum value of the elements in the vector, min () representing the minimum value of the elements in the vector, the operator-representing the corresponding multiplication of the elements between the vectors, SOCendAnd C is a vector formed by the capacities of all single batteries in the battery pack.
Based on the above scheme, the residual discharge capacity range obtained in step S4 is, since the discharge is constant current discharge, the residual discharge time of the cell is:
Figure BDA0002882029590000041
wherein:
Figure BDA0002882029590000042
expressed as the residual discharge time of the cell after the end of charging, IdisIndicated as a discharge current, is shown,
Figure BDA0002882029590000043
to correct the coefficient, CminIndicating minimum discharge capacityNominal capacity of the cell, CmaxAnd the nominal capacity of the single battery representing the maximum discharge capacity.
Based on the above scheme, the step S5 obtains the difference between the discharge reference curve obtained in the step S1 and the residual discharge time obtained in the step S4 by interpolating on the discharge reference curve
Figure BDA0002882029590000044
Voltage value V of timeInterpolation
Wherein: t is tdisExpressed as the battery pack discharge end time, VInterpolationIndicating the voltage value interpolated on the discharge reference curve.
Based on the above scheme, according to the charging curves of the monomers in the fully charged battery pack in the step S1, the charging curve of the monomer with the maximum remaining discharging electric quantity and the charging curve of the monomer with the minimum discharging capacity are sequentially found, and since a resistance value difference Δ R exists between the two monomers, a voltage difference is generated, and the voltage difference predicted value in the fully discharged state of the battery pack is as follows:
Figure BDA0002882029590000045
wherein:
Figure BDA0002882029590000046
expressed as the voltage difference in the fully discharged state of the battery pack, and Δ R expressed as the resistance difference.
Based on the above scheme, after the estimation of the voltage difference between the capacity of the battery pack and the voltage in the full discharge state is completed in step S6, the battery pack is discharged to the factory voltage.
Compared with the prior art, the invention has the following advantages:
the invention relates to a method for quickly estimating battery capacity based on the residual charge capacity of a battery, which aims at the batteries which are sorted after being formed and delivered from factories, can quickly estimate the voltage difference between the battery capacity and the battery pack in a prediction full discharge state after the batteries are formed into the battery pack, greatly reduces the time for estimating the capacity of the battery pack at the factory, saves a large amount of manpower and time, has important practical significance, and has higher precision for estimating the capacity of the battery pack by taking the self-discharge influence SOC factors of single batteries in the battery pack into consideration.
Drawings
FIG. 1 is a flow chart of a method for rapidly estimating the capacity of a lithium ion battery pack according to the present invention
FIG. 2 is a schematic diagram of the charging curves of the cells after full charge according to the embodiment of the present invention
FIG. 3 is a schematic diagram of deriving SOC of a battery cell according to a charging reference curve according to an embodiment of the present invention
FIG. 4 is a schematic diagram of capacity-capacity dissipation points of each single battery after the battery pack is fully charged according to the embodiment of the invention
FIG. 5 is a schematic diagram of deriving a voltage difference of a battery pack in a full discharge state according to a discharge reference curve according to an embodiment of the present invention
FIG. 6 is a schematic diagram showing the comparison between the conventional battery capacity measuring process and the fast battery capacity estimating process of the present invention
Detailed Description
The present invention will be described in detail below with reference to the accompanying drawings and specific embodiments. The present embodiment is implemented on the premise of the technical solution of the present invention, and a detailed implementation manner and a specific operation process are given, but the scope of the present invention is not limited to the following embodiments.
In the embodiment of the invention, the single batteries in the lithium battery pack are all factory-sorted batteries, the capacities of the single batteries are known, and the SOC may cause some differences due to self-discharge factors. Fig. 1 is a flow chart illustrating fast estimation of capacity of a lithium ion battery pack according to the present invention, and the present embodiment is a method for fast estimation of capacity of a battery pack based on remaining charge capacity of a battery, including the following steps:
and S1, fully charging the battery pack, wherein a curve which reaches a charge cut-off voltage firstly is taken as a charging reference curve.
Fig. 2 shows charging curves of the cells according to the embodiment of the present invention, in which a curve of the lithium battery pack initially charged to a charge cut-off voltage is used as a charging reference curve.
S2: and carrying out curve change on each single charging curve through the charging reference curve to obtain the SOC of the single battery, and further calculating the battery pack capacity.
Fig. 3 shows the initial SOC of a cell derived from a charging reference curve, and first, for a cell charged first to a charging cut-off voltage, the capacity of the cell is already full of a constant charging current, and the SOC state is 100%, and then the SOC value of the cell is: SOC0=100%, wherein SOC0Indicates the SOC at the time when the charging of the cell ends. Further, in order to calculate the SOC of the cell that cannot be charged to the charge cut-off voltage, the remaining charge amount needs to be calculated. The voltage of the single body at the charging end time is measured through the charging reference curve obtained in the step S1
Figure BDA0002882029590000051
(curve end point value) is interpolated on the charging reference curve to obtain the value on the charging reference curve
Figure BDA0002882029590000061
Corresponding time tchg' then the remaining charging time of the cell is derivedchg=(tchg-tchg') since there is an error between the curves, the remaining charge capacity needs to be corrected, and the SOC value of the cell is:
Figure BDA0002882029590000062
wherein
Figure BDA0002882029590000063
Indicating the voltage value, t, of the cell at the end of chargingchg' expressed on the charging reference curve
Figure BDA0002882029590000064
Corresponding time of day, IchgFor charging current, Δ tchgFor remaining charging time, SOCiAn SOC indicating the time when the charging of the single body is completed,
Figure BDA0002882029590000065
to correct the coefficients, C0The nominal capacity of the monomer which is filled first.
In practical application, since each unit cell in the lithium battery pack has inconsistency, the actual capacity and the initial SOC of each unit cell have some differences. When the battery pack is charged, the monomer with the minimum residual charging capacity in the battery pack reaches the charging cut-off voltage firstly, and after the monomer reaches the charging cut-off voltage, the rest monomers cannot be charged any more, so that the problems of overcharge and the like can be caused if the charging is continued. Similarly, when the battery pack is discharged, the cell with the minimum residual discharge capacity in the battery pack reaches the discharge cut-off voltage first, and when the cell reaches the discharge cut-off voltage, the remaining cells do not continue to discharge any more, and if the cell continues to discharge, problems such as overdischarge are caused.
Finally, the actual real capacity of the lithium battery pack is the sum of the minimum remaining charge capacity and the minimum remaining discharge capacity, and if the minimum remaining charge capacity and the minimum remaining discharge capacity are obtained, the SOC and the capacity of each single body in the battery pack need to be known, and then the battery pack capacity can be expressed as:
Cpack=min(SOCend·C)+min((1-SOCend) C) wherein C)packIs the battery capacity, SOCendThe vector is composed of SOC of all single batteries in the battery pack after charging is finished, C is a vector composed of capacity of all single batteries in the battery pack, an operator min () represents minimum value calculation of elements in the vector, and an operator represents corresponding multiplication of elements among the vectors.
S3: and calculating the residual discharge electric quantity of each single battery after the battery pack is fully charged, and taking the curve of the minimum residual discharge electric quantity as a discharge reference curve.
For the single battery which is fully charged first in the step S1, the discharge electric quantity is the factory nominal capacity: q0=C0For the single battery which can not be fully charged, the discharging electric quantity is the electric quantity at the end of charging, and then the SOC of the single battery after the charging is finished needs to be obtained according to the SOC of the single battery obtained in the step S2iThen, the discharge capacity of the cell after the charging is completed can be calculated as: qi=SOCi·CiWherein: SOC (system on chip)iIndicates the SOC, Q of the cell after the end of chargingiExpressed as the discharge capacity of the cell, CiIs the factory nominal capacity of the monomer.
Fig. 4 is a schematic diagram showing a capacity-electric quantity dispersion point of each single battery after the lithium battery pack is fully charged, the schematic diagram graphically shows a relationship between the capacity and the electric quantity of each single battery after the lithium battery pack is fully charged, the abscissa of the schematic diagram is the capacity, the ordinate of the schematic diagram is the electric quantity, the electric quantity state of each single battery in the battery pack is shown in the form of discrete points, and a straight line passing through the origin of coordinates of 45 degrees in the schematic diagram is a charge cut-off line, that is, when a point is on the line, the electric quantity and the capacity of each single battery are equal, that is, each single battery is in the fully charged state. In the figure, reference numeral (1) indicates the remaining charge capacity of each unit cell, and reference numeral (2) indicates the remaining discharge capacity of each unit cell. By comparing the remaining discharge capacities of the respective unit batteries, the maximum remaining discharge capacity indicated by the reference numeral (3) and the minimum remaining discharge capacity indicated by the reference numeral (4) can be obtained.
And calculating the residual discharge electric quantity of each single battery after the battery pack is fully charged, and comparing the residual discharge electric quantities of all the single batteries in the lithium battery pack in the graph 4 to use the minimum discharge electric quantity curve as a reference discharge curve.
S4: and calculating the difference between the maximum and minimum discharge electric quantity in the battery pack to obtain the residual discharge time range.
According to the residual discharge electric quantity of each single battery in the battery pack in the step S3, the maximum discharge electric quantity is subtracted from the minimum discharge electric quantity to obtain the residual discharge electric quantity pole difference delta Qmax=max(SOCend·C)-min(SOCendC), wherein: delta QmaxRepresenting the residual discharge capacity range, the operator max () representing the maximum value of the elements in the vector, min () representing the minimum value of the elements in the vector, the operator-representing the corresponding multiplication of the elements between the vectors, SOCendAnd C is a vector formed by the capacities of all the single batteries in the battery pack.
Because of the error between the curves, the battery is provided withThe remaining discharge time of (2) needs to be corrected. The battery pack is discharged due to constant current, and the residual discharge time of the single battery pack is as follows:
Figure BDA0002882029590000071
wherein
Figure BDA0002882029590000072
Expressed as the remaining discharge time of the cell after the end of charging, IdisIndicated as a discharge current, is shown,
Figure BDA0002882029590000073
to correct the coefficient, CminNominal capacity of cell, C, representing minimum discharge capacitymaxAnd the nominal capacity of the single battery representing the maximum discharge capacity.
S5: and obtaining a voltage value on the discharge reference curve by using an interpolation method, and finally predicting the voltage difference of the battery pack in a full discharge state through voltage difference correction caused by internal resistance difference.
FIG. 5 is a diagram illustrating the battery pack voltage difference in the full discharge state derived from the discharge reference curve, and the discharge ending time on the discharge reference curve is shifted to the left according to the discharge reference curve obtained in step S3 and the maximum remaining discharge time obtained in step S4
Figure BDA0002882029590000081
Interpolating on the discharge reference curve to obtain
Figure BDA0002882029590000082
Voltage value V of timeInterpolationWherein t isdisExpressed as the battery pack discharge end time, VInterpolationIndicating the voltage value interpolated on the discharge reference curve.
According to the charging curves of the monomers in the battery pack obtained in the step S2, the charging curve of the monomer with the maximum residual discharging electric quantity and the charging curve of the monomer with the minimum discharging capacity are sequentially found, and because the resistance value difference delta R exists between the two monomers, a voltage difference is generated, and the predicted value of the voltage difference in the full discharging state of the battery pack is finally:ΔVdismax=VInterpolation-UCut-off voltage-IdisΔ R, wherein:
Figure BDA0002882029590000083
expressed as the voltage difference in the fully discharged state of the battery pack, and Δ R expressed as the resistance difference.
And S6, discharging the battery pack to a factory voltage.
And after the estimation of the voltage difference between the capacity of the battery pack and the full discharge state is finished, discharging the battery pack to the factory voltage.
Fig. 6 (a) is a flow chart of testing the capacity of the lithium battery pack by fully charging and fully discharging the lithium battery pack according to the testing means suggested by the manufacturer, and (b) is a flow chart of rapidly estimating the capacity of the lithium battery pack according to the invention, wherein the testing means suggested by the manufacturer includes constant current charging, constant current discharging, standing the battery pack, and finally adjusting the lithium battery pack to the delivery voltage, and the flow of the invention includes only constant current charging and adjusting the lithium battery pack to the delivery voltage. Through comparison of the two, the latter omits the full discharge and standing process of the lithium battery pack, so that the time for estimating the capacity of the lithium battery pack is greatly reduced, a large amount of time is saved, and the working efficiency is improved.
The foregoing shows and describes the general principles, essential features, and advantages of the invention. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, which are merely illustrative of the principles of the invention, but that various changes and modifications may be made without departing from the spirit and scope of the invention, which fall within the scope of the invention as claimed. The scope of the invention is defined by the appended claims and equivalents thereof.

Claims (6)

1. A method for rapidly estimating the capacity of a battery pack based on the remaining charge capacity of a battery, comprising the steps of:
s1: fully charging the battery pack, wherein a curve which reaches a charging cut-off voltage firstly serves as a charging reference curve;
s2: carrying out curve change on each single charging curve through the charging reference curve to obtain the SOC of the single battery, and further calculating the battery pack capacity;
wherein, for the cell leading to the charge cut-off voltage, the SOC can be expressed as: SOC0=100%;SOC0Represents the SOC of the cell that is first charged to the charge cut-off voltage;
for a cell that cannot be charged to the charge cutoff voltage, its SOC can be expressed as:
Figure FDA0003836473230000011
wherein: SOCiIndicates the SOC of the cell after the end of charging, Δ tchgFor remaining charging time, Δ tchg=(tchg-tchg'),
Figure FDA0003836473230000012
Indicating the voltage value, t, of the cell at the end of chargingchg' expressed on the charging reference curve
Figure FDA0003836473230000013
Corresponding time of day, IchgIn order to be able to charge the current,
Figure FDA0003836473230000014
to correct the coefficient, C0The nominal capacity of the monomer which is firstly charged to the charge cut-off voltage;
the capacity expression of the battery pack is:
Cpack=min(SOCend·C)+min((1-SOCend)·C)
wherein: cpackIs the battery capacity, SOCendThe vector is formed by SOC of all single batteries in the fully charged battery pack, C is a vector formed by the capacity of all single batteries in the battery pack, an operator min () represents the minimum value of elements in the vector, and an operator represents the corresponding multiplication of the elements among the vectors;
s3: calculating the residual discharge electric quantity of each single battery after the battery pack is fully charged, and taking the minimum residual discharge electric quantity curve as a discharge reference curve;
s4: obtaining residual discharge time range by calculating the difference between the maximum residual discharge electric quantity and the minimum residual discharge electric quantity in the battery pack;
s5: obtaining a voltage value on the discharge reference curve by using an interpolation method, correcting a voltage difference caused by the internal resistance difference, and finally predicting a voltage extreme difference of the battery pack in a full discharge state;
the step S5 comprises the following steps:
s51, interpolating on the discharge reference curve according to the extreme difference between the discharge reference curve and the residual discharge time to obtain the discharge time
Figure FDA0003836473230000021
Voltage value V of timeInterpolation
Figure FDA0003836473230000022
Expressed as the residual discharge time of the cell after the discharge of the battery pack is finished;
wherein: t is tdisExpressed as the battery pack discharge end time, VInterpolationA voltage value interpolated on the discharge reference curve is represented;
s52, according to the charging curves of the individual cells in the battery pack, sequentially finding the charging curve of the individual cell with the maximum remaining discharging capacity and the charging curve of the individual cell with the minimum discharging capacity, wherein a voltage difference is generated due to a resistance value difference Δ R between the two individual cells, and the predicted value of the voltage difference in the fully discharged state of the battery pack is as follows:
Figure FDA0003836473230000023
wherein:
Figure FDA0003836473230000024
expressed as the voltage spread of the battery at full discharge, IdisExpressed as discharge currentΔ R is expressed as a resistance difference;
s6: and discharging the battery pack to the factory voltage.
2. The method for rapidly estimating the capacity of the battery pack based on the residual charging capacity of the battery according to claim 1, wherein the battery pack comprises N single batteries, and N is more than or equal to 2; the battery type in the battery pack is a factory-sorted battery, the capacity of the battery is known, and the SOC causes a little difference due to self-discharge factors.
3. The method according to claim 1, wherein the step S1 comprises the following steps:
and fully charging the battery pack to obtain a charging curve of each single battery in the battery pack, and taking a curve which is charged to a charging cut-off voltage first as a charging reference curve.
4. The method according to claim 1, wherein the step S3 comprises the following steps:
for the single battery which is fully charged first, the discharge electric quantity is the factory nominal capacity: q0=C0For the single battery which can not be fully charged, the discharging electric quantity is the electric quantity of the single battery when the charging is stopped, then the SOC of the single battery after the charging is required to be obtained, and according to the SOC of the single battery which is not fully chargediThen, the discharge capacity of the cell after the charging is finished can be calculated, and can be represented as: qi=SOCi·CiObtaining the discharge electric quantity of each monomer, and taking the discharge curve of the minimum discharge electric quantity as a discharge reference curve;
wherein: SOCiIndicates the SOC, Q of the cell after the end of chargingiExpressed as the discharge capacity of the cell, CiIs the factory nominal capacity of the monomer.
5. The method according to claim 1, wherein the step S4 comprises the following steps:
s41 discharge capacity Q according to each monomeriFurther, the residual discharge capacity pole difference in the battery pack is calculated, which can be expressed as:
ΔQmax=max(SOCend·C)-min(SOCend·C)
wherein: delta QmaxRepresenting the residual discharge capacity range, the operator max () representing the maximum value of the elements in the vector, min () representing the minimum value of the elements in the vector, the operator-representing the corresponding multiplication of the elements between the vectors, SOCendC is a vector formed by the capacities of all single batteries in the battery pack;
s42, the residual discharge capacity of the battery pack obtained in S41 is very different, and since the battery pack is discharged by the constant current, the residual discharge time of the cell is very different:
Figure FDA0003836473230000031
wherein:
Figure FDA0003836473230000032
expressed as the residual discharge time of the cell after the end of the discharge of the battery, IdisIndicated as a discharge current, is shown,
Figure FDA0003836473230000033
to correct the coefficient, CminCell capacity, C, representing minimum discharge capacitymaxThe cell capacity representing the maximum discharge capacity.
6. The method according to claim 1, wherein the step S6 comprises the following steps:
and after the estimation of the voltage difference between the capacity of the battery pack and the full discharge state is finished, discharging the battery pack to the factory voltage.
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