WO2023082046A1 - Procédé pour déterminer une résistance à la décharge en courant continu, procédé pour déterminer une puissance de décharge maximale, et système de gestion de batterie - Google Patents

Procédé pour déterminer une résistance à la décharge en courant continu, procédé pour déterminer une puissance de décharge maximale, et système de gestion de batterie Download PDF

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Publication number
WO2023082046A1
WO2023082046A1 PCT/CN2021/129543 CN2021129543W WO2023082046A1 WO 2023082046 A1 WO2023082046 A1 WO 2023082046A1 CN 2021129543 W CN2021129543 W CN 2021129543W WO 2023082046 A1 WO2023082046 A1 WO 2023082046A1
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current
data
voltage difference
discharge
interval
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PCT/CN2021/129543
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English (en)
Chinese (zh)
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王丹凤
宋晋阳
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宁德时代新能源科技股份有限公司
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Priority to PCT/CN2021/129543 priority Critical patent/WO2023082046A1/fr
Priority to CN202180089056.7A priority patent/CN116685853A/zh
Publication of WO2023082046A1 publication Critical patent/WO2023082046A1/fr

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    • G—PHYSICS
    • 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
    • H—ELECTRICITY
    • H01—ELECTRIC ELEMENTS
    • H01M—PROCESSES OR MEANS, e.g. BATTERIES, FOR THE DIRECT CONVERSION OF CHEMICAL ENERGY INTO ELECTRICAL ENERGY
    • H01M10/00—Secondary cells; Manufacture thereof
    • H01M10/42—Methods or arrangements for servicing or maintenance of secondary cells or secondary half-cells

Definitions

  • the present application relates to the field of battery technology, and in particular to a method for determining a DC discharge resistance of a battery, a method for determining a maximum discharge power of a battery, and a battery management system.
  • the power supply capacity of the battery directly affects the performance of the electrical equipment. In order to maximize the performance of the battery and protect the battery from being discharged, it is necessary to estimate the maximum available power of the battery.
  • the present application proposes a method for determining the DC discharge resistance of a battery, a method for determining the maximum discharge power of a battery, and a battery management system.
  • a first aspect of the present invention provides a method for determining the DC discharge resistance of a battery, wherein the method comprises:
  • the working condition data includes the temperature, charge state, current, voltage and health state of the battery, and the above specified health state interval is the one that has been experienced and is designated for updating the DC discharge resistance
  • the health status interval corresponding to the latest health status point in the data table
  • the DC discharge resistance of the battery is determined by obtaining the data table of the DC discharge resistance in the latest health state interval, and according to the data table of the DC discharge resistance, the current temperature and the state of charge. This embodiment obtains the data table of the DC discharge resistance during the whole life cycle of the battery, thereby ensuring the accuracy of the determined DC discharge resistance.
  • DC discharge resistance refers to the resistance of the battery during DC discharge, rather than the static internal resistance of the battery.
  • the data table for determining the DC discharge resistance of the battery within the above specified state of health interval includes:
  • the data table of the DC discharge resistance of the battery within the specified health status interval is completed.
  • corresponding position refers to the corresponding table position of the state of charge (SOC) and temperature of the data point in the data table of discharge current and voltage difference.
  • SOC state of charge
  • the above-mentioned preset working conditions include a static period and a pulse period
  • the static period requires a current rate less than or equal to 0.05C and the duration is greater than or equal to 30 seconds
  • the pulse period requires an average current rate Greater than or equal to 0.2C, state of charge greater than or equal to 30% and duration greater than or equal to 2 seconds.
  • determining the data table of the DC discharge resistance of the battery within the above specified health state range includes the following steps:
  • the current in the pulse segment of the data segment is converted into an equivalent constant current.
  • the quasi-constant current condition is that the current fluctuates no more than ⁇ 7%, preferably ⁇ 5%. The lower the current fluctuation in the quasi-constant current condition, the more accurate the data obtained; however, when the current fluctuation is too low, there will not be enough data to meet the requirements of the preset working conditions. Therefore, the application is implemented in the most preferred In the scheme, the quasi-constant current condition was set as ⁇ 5%.
  • the current of the pulse segment may appear in the following situations: monotonically increasing, monotonically decreasing, constant current or quasi-constant current, first monotonically increasing and then constant current or quasi-constant current, first monotonically decreasing and then constant current or Quasi-constant current, etc.
  • the equivalent constant current can be used to calculate the DC discharge resistance.
  • the equivalent constant current is calculated according to the following formulas (1) and (2):
  • I eq represents the equivalent constant current
  • w(t) represents the weight function
  • I(t) represents the discharge current at the sampling time point
  • t end represents the end time of the pulse segment
  • n is a positive integer and 2 ⁇ n ⁇ 6 .
  • the above preset current intervals include three current intervals, the first current interval of the three current intervals is between 0.05 and 0.2 times the maximum discharge current, and the three current intervals are between 0.05 and 0.2 times the maximum discharge current.
  • the second current interval is between 0.2 times and 0.4 times of the above-mentioned maximum discharge current, and the third current interval among the three current intervals is between 0.4 and 0.8 times of the above-mentioned maximum discharge current, and the above-mentioned maximum discharge current has a rated capacity The maximum current allowed for the battery to be discharged at the temperature and state of charge corresponding to the working condition of the data point.
  • the data table of the discharge current and the voltage difference is cleared or a new data table is provided to store the discharge current and Voltage difference data.
  • a new two-dimensional data table of discharge current and voltage difference based on temperature and state of charge is stored, and the data table of DC discharge resistance is updated.
  • the capacity decay of the battery by 5% represents a large change in the internal parameters of the battery, so the new discharge current and voltage difference are used to calculate the DC discharge resistance that also undergoes a large change.
  • clearing the two-dimensional data table of discharge current and voltage difference is based on the consideration of saving system memory or limited system memory. When the system memory is sufficient or the system memory is not considered , you can keep all the original two-dimensional data tables of discharge current and voltage difference and use the new two-dimensional data table to store the data of discharge current and voltage difference.
  • determining the data table of the DC discharge resistance of the battery within the above-mentioned specified health state interval comprises the following steps:
  • the current of the data point and the current of the data having no dissimilarity between the corresponding position and the data of the data point are averaged to replace the current of the data having no dissimilarity between the corresponding position and the data of the data point.
  • the voltage difference and current are averaged, so that the data at the corresponding position is updated closer to the actual value, reducing the error.
  • determining the data table of the DC discharge resistance of the battery within the above-mentioned specified health state interval comprises the following steps:
  • the data table of the discharge current and the voltage difference is updated according to the relationship between the data of the data point and the data of the corresponding position in the above-mentioned preset current interval,
  • the above-mentioned preset current range includes a plurality of current ranges.
  • the two-dimensional data table of discharge current and voltage difference is updated according to the relationship between the data of the data point and the data of the corresponding position in the preset multiple current intervals, and the data stored in the discharge current and voltage difference can be controlled.
  • the distribution of the data in the two-dimensional data table makes the availability of the linear fitting curve of the discharge current and the voltage difference higher.
  • the criterion for judging that the data of the data point has mutual dissimilarity with the data of the corresponding position is that the current of the data point is relative to the data in the two-dimensional data table of the discharge current and the voltage difference.
  • the temperature of the point fluctuates within 1° C. and the state of charge fluctuates within 2 percent, and the current fluctuates more than 5 percent.
  • updating the two-dimensional data table of discharge current and voltage difference based on temperature and state of charge hopes to fill each cell in the two-dimensional data table, but the measured data cannot be completely corresponding
  • the mutuality judgment standard it is necessary to judge which cell of the two-dimensional data table the measurement data falls in according to the mutuality judgment standard. If there is data stored in the grid where the measurement data falls, it is considered to have no mutuality, and if there is no data stored in the grid where the measurement data falls, it is considered to have mutuality.
  • the step of updating the data table of the discharge current and the voltage difference according to the relationship between the data of the data point and the data of the corresponding position within the above-mentioned preset current interval includes:
  • the data of the data point is stored in the data table of the discharge current and the voltage difference.
  • the correlation coefficient R can be calculated according to the following formula (3):
  • Cov(X, Y) is the covariance of X and Y
  • Var[X] is the variance of X
  • Var[Y] is the variance of Y
  • the range of R is -1 ⁇ +1. Therefore, the square of the correlation coefficient can be expressed by the following formula (4):
  • X corresponds to the current value
  • Y corresponds to the voltage difference
  • the step of updating the data table of the discharge current and the voltage difference according to the relationship between the data of the data point and the data of the corresponding position within the above-mentioned preset current interval includes:
  • the data of the data point is stored in the data table of discharge current and voltage difference.
  • the step of updating the data table of the discharge current and the voltage difference according to the relationship between the data of the data point and the data of the corresponding position within the above-mentioned preset current interval includes:
  • the current of the data point When the current of the data point is not in the current interval with the smallest current value among the above-mentioned multiple current intervals, the current of the data point and the current at the corresponding position in the current interval where the current of the data point is located is the larger current value
  • the data is saved in the data table for discharge current and voltage difference.
  • the above-mentioned preset current intervals include three current intervals, the first current interval of the above-mentioned three current intervals is between 0.05 times and 0.2 times of the maximum discharge current, and the above-mentioned three current intervals
  • the second current interval in the above-mentioned three current intervals is between 0.2 times and 0.4 times of the above-mentioned maximum discharge current
  • the third current interval among the above-mentioned three current intervals is between 0.4 times and 0.8 times of the above-mentioned maximum discharge current
  • the above-mentioned maximum discharge current is The maximum current allowed for a battery with rated capacity to be discharged at the temperature and state of charge corresponding to the working condition of the data point;
  • the current of the data point and the data of the smaller current value in the current of the corresponding position in the first current interval are stored in the data table of discharge current and voltage difference;
  • the data of the larger current value among the current of the data point and the current of the corresponding position in the current interval where the current of the data point is located is stored in data sheet for discharge current and dropout voltage.
  • the principles for judging the credibility of data points include:
  • the voltage difference of the data point is greater than the voltage of the data of the corresponding position in the current interval of the current of the data point poor
  • the resistance of the data point fluctuates by no more than 20% of the resistance of the current interval where the current of the data point is located relative to the data at the corresponding position, wherein the resistance of the data point is equal to the voltage difference of the data point divided by the current, and the The resistance of the data at the corresponding position in the current interval of the current of the data point is equal to the voltage difference of the data of the corresponding position in the current interval of the current of the data point divided by the current.
  • the working condition data of the battery is the working condition data of the two battery cells with the lowest state of charge and voltage in the battery.
  • the working condition data of the battery may include not only two representative cells, but also all the cells in the battery.
  • the voltage difference of the data point is equal to the voltage at the end of the rest period in the data segment minus the voltage of the data point
  • the current at this data point is the absolute value of the discharge current of the battery.
  • the voltage of the battery keeps decreasing, so the voltage difference of the data points is a positive value.
  • the symbol of the charging current is +, and the symbol of the discharging current is -; however, in the embodiment of the present application, the absolute value of the discharging current is taken as the current value of the data point, that is, stored in
  • the current values in the data sheets of the discharge current and the voltage difference are both positive values, and the currents compared with each other are all positive values. Therefore, both the current value and the voltage difference used in the calculation of the above formulas (3) and (4) are positive values.
  • the above preset current range includes multiple current ranges, and the preset sufficient conditions include:
  • the square of the correlation coefficient of the linear fitting of the discharge current and the voltage difference at the corresponding position in the data table of the discharge current and the voltage difference is greater than or equal to 0.95.
  • the preset sufficient conditions include:
  • the minimum current at the corresponding position in the discharge current and voltage difference data table is between 0.05 and 0.2 times the maximum discharge current at the corresponding position;
  • the current change step at the corresponding position in the data table of discharge current and voltage difference is between 0.15 times and 0.3 times the maximum discharge current at the corresponding position;
  • the square of the correlation coefficient of the linear fitting of the current and voltage difference at the corresponding position in the data table of the discharge current and voltage difference is greater than or equal to 0.95;
  • the maximum discharge current at the corresponding position is the maximum current allowed to be discharged by a battery with rated capacity at the temperature and state of charge of the corresponding position.
  • the step of calculating the DC discharge resistance of the battery at the corresponding position according to the linear fitting relationship between the discharge current and the voltage difference includes:
  • the first maximum voltage difference ⁇ U max is calculated according to the following formula (5):
  • OCV is the open circuit voltage of the corresponding position
  • Ucutoff is the cutoff voltage of the battery.
  • k is the slope of the fitted voltage difference-current curve
  • b is the pitch of the fitted voltage difference-current curve
  • I' max min(I max0 , I max1 ) (7)
  • I' max is the maximum discharge current allowed by the battery actually, that is, the third maximum discharge current
  • I max1 is the maximum discharge current limited by the cut-off voltage, that is, the second maximum discharge current.
  • the discharge current and voltage difference are completed according to the existing data in the data table of the discharge current and voltage difference
  • the data table and based on the data in the completed discharge current and voltage difference data table, complete the data table of the DC discharge resistance of the battery in the above-mentioned specified health state interval according to the linear fitting relationship between the discharge current and the voltage difference.
  • the preset data sufficiency conditions include that the calculated operating conditions covered by the DC discharge resistance meet the following requirements:
  • Covered temperatures include at least three sets of temperatures between -20 and 25°C, each of the at least three sets of temperatures separated by greater than or equal to 10°C;
  • the covered temperatures include at least two sets of temperatures between 25 and 55°C, each of the at least two sets of temperatures separated by greater than or equal to 10°C;
  • the covered states of charge include at least two groups of states of charge between 30% and 100%, and the interval between each group of states of charge in the at least two groups of states of charge is greater than or equal to 20%.
  • the preset data adequacy condition it is ensured that the data stored in the data table of the discharge current and the voltage difference is sufficient, so that the data of the discharge current and the voltage difference can be completed by methods such as linear interpolation. All data in the data table.
  • the step of completing the data table of the discharge current and the voltage difference according to the existing data in the data table of the discharge current and the voltage difference includes:
  • determining the data table of the DC discharge resistance of the battery within the above specified health state range includes the following steps:
  • the maximum growth rate of the DC discharge resistance calculated at the same temperature relative to the DC discharge resistance in the data sheet of the previous DC discharge resistance , calculate the DC discharge resistance of the missing state of charge to complement the DC discharge resistance of different temperatures and states of charge.
  • a second aspect of the present application provides a battery management system, wherein the battery management system is configured to determine the DC discharge resistance of the battery, and the battery management system includes:
  • a memory connected to at least one of the processors
  • the memory stores instructions, and when the instructions are executed by the at least one processor, the instructions cause the at least one processor to execute the method for determining the DC discharge resistance of the battery described in the first aspect above.
  • a third aspect of the present application provides a method for determining the maximum discharge power of a battery, wherein the method includes:
  • the working condition data includes the battery temperature, state of charge, current, voltage and health state, and the above specified health state interval is the one that has been experienced and is designated for updating the maximum discharge power
  • the health status interval corresponding to the latest health status point in the data table
  • the maximum discharge power of the battery is determined by obtaining the data table of the maximum discharge power of the latest health state interval, and according to the data table of the maximum discharge power, the current temperature and the state of charge.
  • This implementation obtains the data table of the maximum discharge power during the entire life cycle of the battery, and can calculate the DC discharge resistance and maximum discharge power of the battery according to the real-time working conditions during the entire life cycle, thereby ensuring the accuracy of the determined maximum discharge power.
  • the performance of the battery can be maximized, and the safety and power of driving can be improved at the same time.
  • the data table for determining the maximum discharge power of the battery within the above specified health state range includes:
  • the data table of the maximum discharge power of the battery within the specified health state interval is completed.
  • the data table of the maximum discharge power is regularly updated, ensuring the data in the data table of the maximum discharge power of the battery The current parameter condition closest to the battery.
  • the above-mentioned preset working conditions include a static period and a pulse period
  • the static period requires a current rate less than or equal to 0.05C and the duration is greater than or equal to 30 seconds
  • the pulse period requires an average current rate Greater than or equal to 0.2C, state of charge greater than or equal to 30% and duration greater than or equal to 2 seconds.
  • determining the data table of the maximum discharge power of the battery within the specified health state interval includes the following steps:
  • the current in the pulse segment of the data segment is converted into an equivalent constant current.
  • the quasi-constant current condition is that the current fluctuates no more than ⁇ 7%, preferably ⁇ 5%.
  • the lower the current fluctuation in the quasi-constant current condition the more accurate the data obtained; however, when the current fluctuation is too low, there will not be enough data to meet the requirements of the preset working conditions. Therefore, in the embodiment of the present application, the limit of the current fluctuation under the quasi-constant current condition will not be lower than ⁇ 2%; in the most preferred embodiment, the quasi-constant current condition is set to ⁇ 5%.
  • the current of the pulse segment may appear in the following situations: monotonically increasing, monotonically decreasing, constant current or quasi-constant current, first monotonically increasing and then constant current or quasi-constant current, first monotonically decreasing and then constant current or Quasi-constant current, etc.
  • the equivalent constant current can be used to calculate the maximum discharge power.
  • the equivalent constant current is calculated according to the above formulas (1) and (2).
  • the above preset current intervals include three current intervals, the first current interval of the three current intervals is between 0.05 and 0.2 times the maximum discharge current, and the three current intervals are between 0.05 and 0.2 times the maximum discharge current.
  • the second current interval is between 0.2 times and 0.4 times of the above-mentioned maximum discharge current, and the third current interval among the three current intervals is between 0.4 and 0.8 times of the above-mentioned maximum discharge current, and the above-mentioned maximum discharge current has a rated capacity The maximum current allowed for the battery to be discharged at the temperature and state of charge corresponding to the working condition of the data point.
  • the data table of the discharge current and the voltage difference is cleared or a new data table is provided to store the discharge current and the voltage difference. Voltage difference data.
  • a new two-dimensional data table of discharge current and voltage difference based on temperature and state of charge is stored, and the data table of maximum discharge power is updated.
  • the capacity decay of the battery by 5% means that the internal parameters of the battery have changed greatly, so the new discharge current and voltage difference are used to calculate the maximum discharge power that also changes greatly.
  • clearing the two-dimensional data table of discharge current and voltage difference is based on the consideration of saving system memory or limited system memory. When the system memory is sufficient or the system memory is not considered , you can keep all the original two-dimensional data tables of discharge current and voltage difference and use the new two-dimensional data table to store the data of discharge current and voltage difference.
  • determining the data table of the maximum discharge power of the battery within the specified health state interval includes the following steps:
  • the current of the data point and the current of the data having no dissimilarity between the corresponding position and the data of the data point are averaged to replace the current of the data having no dissimilarity between the corresponding position and the data of the data point.
  • the voltage difference and current are averaged, so that the data at the corresponding position is updated closer to the actual value, reducing the error.
  • determining the data table of the maximum discharge power of the battery within the specified health state interval includes the following steps:
  • the data table of the discharge current and the voltage difference is updated according to the relationship between the data of the data point and the data of the corresponding position in the above-mentioned preset current interval,
  • the above-mentioned preset current range includes a plurality of current ranges.
  • the two-dimensional data table of discharge current and voltage difference is updated according to the relationship between the data of the data point and the data of the corresponding position in the preset multiple current intervals, and the data stored in the discharge current and voltage difference can be controlled.
  • the distribution of the data in the two-dimensional data table makes the availability of the linear fitting curve of the discharge current and the voltage difference higher.
  • the criterion for judging that the data of the data point has mutual dissimilarity with the data of the corresponding position is that the current of the data point is relative to the data in the two-dimensional data table of the discharge current and the voltage difference.
  • the temperature of the point fluctuates within 1° C. and the state of charge fluctuates within 2 percent, and the current fluctuates more than 5 percent.
  • updating the two-dimensional data table of discharge current and voltage difference based on temperature and state of charge hopes to fill each cell in the two-dimensional data table, but the measured data cannot be completely corresponding
  • the mutuality judgment standard it is necessary to judge which cell of the two-dimensional data table the measurement data falls in according to the mutuality judgment standard. If there is data stored in the grid where the measurement data falls, it is considered to have no mutuality, and if there is no data stored in the grid where the measurement data falls, it is considered to have mutuality.
  • the step of updating the data table of the discharge current and the voltage difference according to the relationship between the data of the data point and the data of the corresponding position within the above-mentioned preset current interval includes:
  • the data of the data point is stored in the data table of the discharge current and the voltage difference.
  • the correlation coefficient R can be calculated according to the above formula (3), and the square of the correlation coefficient can be expressed by the above formula (4).
  • the step of updating the data table of the discharge current and the voltage difference according to the relationship between the data of the data point and the data of the corresponding position within the above-mentioned preset current interval includes:
  • the data of the data point is stored in the data table of discharge current and voltage difference.
  • the step of updating the data table of the discharge current and the voltage difference according to the relationship between the data of the data point and the data of the corresponding position within the above-mentioned preset current interval includes:
  • the current of the data point When the current of the data point is not in the current interval with the smallest current value among the above-mentioned multiple current intervals, the current of the data point and the current at the corresponding position in the current interval where the current of the data point is located is the larger current value
  • the data is saved in the data table for discharge current and voltage difference.
  • the above-mentioned preset current intervals include three current intervals, the first current interval of the above-mentioned three current intervals is between 0.05 times and 0.2 times of the maximum discharge current, and the above-mentioned three current intervals
  • the second current interval in the above-mentioned three current intervals is between 0.2 times and 0.4 times of the above-mentioned maximum discharge current
  • the third current interval among the above-mentioned three current intervals is between 0.4 times and 0.8 times of the above-mentioned maximum discharge current
  • the above-mentioned maximum discharge current is The maximum current allowed for a battery with rated capacity to be discharged at the temperature and state of charge corresponding to the working condition of the data point;
  • the current of the data point and the data of the smaller current value in the current of the corresponding position in the first current interval are stored in the data table of discharge current and voltage difference;
  • the data of the larger current value among the current of the data point and the current of the corresponding position in the current interval where the current of the data point is located is stored in data sheet for discharge current and dropout voltage.
  • the principles for judging the credibility of data points include:
  • the voltage difference of the data point is greater than the voltage of the data of the corresponding position in the current interval of the current of the data point poor
  • the resistance of the data point fluctuates by no more than 20% of the resistance of the current interval where the current of the data point is located relative to the data at the corresponding position, wherein the resistance of the data point is equal to the voltage difference of the data point divided by the current, and the The resistance of the data at the corresponding position in the current interval of the current of the data point is equal to the voltage difference of the data of the corresponding position in the current interval of the current of the data point divided by the current.
  • the working condition data of the battery is the working condition data of the two battery cells with the lowest state of charge and voltage in the battery.
  • the working condition data of the battery may include not only two representative cells, but also all the cells in the battery.
  • the voltage difference of the data point is equal to the voltage at the end of the rest period in the data segment minus the voltage of the data point
  • the current at this data point is the absolute value of the discharge current of the battery.
  • the voltage of the battery keeps decreasing, so the voltage difference of the data points is a positive value.
  • the symbol of the charging current is +, and the symbol of the discharging current is -; however, in the embodiment of the present application, the absolute value of the discharging current is taken as the current value of the data point, that is, stored in The current values in the data sheets of the discharge current and the voltage difference are both positive values, and the currents compared with each other are all positive values.
  • the above preset current range includes multiple current ranges, and the preset sufficient conditions include:
  • the square of the correlation coefficient of the linear fitting of the discharge current and the voltage difference at the corresponding position in the data table of the discharge current and the voltage difference is greater than or equal to 0.95.
  • the preset sufficient conditions include:
  • the minimum current at the corresponding position in the discharge current and voltage difference data table is between 0.05 and 0.2 times the maximum discharge current at the corresponding position;
  • the current change step of the corresponding position in the data table of the discharge current and the voltage difference is between 0.15 times and 0.3 times of the maximum discharge current at the corresponding position;
  • the square of the correlation coefficient of the linear fitting of the current and voltage difference at the corresponding position in the data table of the discharge current and voltage difference is greater than or equal to 0.95;
  • the maximum discharge current at the corresponding position is the maximum current allowed to be discharged by a battery with rated capacity at the temperature and state of charge of the corresponding position.
  • the step of calculating the maximum discharge power of the battery at the corresponding position according to the linear fitting relationship between the discharge current and the voltage difference includes:
  • the third maximum discharge current at the corresponding position is multiplied by the above-mentioned maximum supply voltage to obtain the maximum discharge power at the corresponding position.
  • the first maximum voltage difference ⁇ U max is calculated according to the above formula (5). Then, the first maximum current corresponding to the first maximum voltage difference ⁇ U max is determined according to the fitted voltage difference-current curve obtained when the discharge current and the voltage difference are linearly fitted or when the correlation coefficient of the linear fit is calculated before. I max0 . Since the maximum discharge current allowed by the battery is not only limited by the cut-off voltage, but also limited by mechanical parts, the actual maximum discharge current I ' max allowed by the battery is determined according to the above formula (7), that is, the third maximum discharge current; I max1 is the maximum discharge current limited by the cut-off voltage, that is, the second maximum discharge current.
  • the discharge current and voltage difference are completed according to the existing data in the data table of the discharge current and voltage difference
  • the data table and based on the data in the completed discharge current and voltage difference data table, complete the data table of the maximum discharge power of the battery in the above-mentioned specified health state interval according to the linear fitting relationship between the discharge current and voltage difference.
  • the preset data sufficiency conditions include that the calculated working conditions covered by the maximum discharge power meet the following requirements:
  • Covered temperatures include at least three sets of temperatures between -20 and 25°C, each of the at least three sets of temperatures separated by greater than or equal to 10°C;
  • the covered temperatures include at least two sets of temperatures between 25 and 55°C, each of the at least two sets of temperatures separated by greater than or equal to 10°C;
  • the covered states of charge include at least two groups of states of charge between 30% and 100%, and the interval between each group of states of charge in the at least two groups of states of charge is greater than or equal to 20%.
  • the preset data adequacy condition it is ensured that the data stored in the data table of the discharge current and the voltage difference is sufficient, so that the data of the discharge current and the voltage difference can be completed by methods such as linear interpolation. All data in the data table.
  • the step of completing the data table of the discharge current and the voltage difference according to the existing data in the data table of the discharge current and the voltage difference includes:
  • determining the data table of the maximum discharge power of the battery within the specified health state interval includes the following steps:
  • the maximum attenuation rate of the maximum discharge power calculated at the same temperature relative to the maximum discharge power in the data table of the previous maximum discharge power , to calculate the maximum discharge power of the missing state of charge to complement the maximum discharge power of different temperatures and states of charge.
  • the data table of the maximum discharge power of the battery is updated at the same time as the data table of the DC discharge resistance of the battery is updated.
  • a fourth aspect of the present application provides a battery management system, wherein the battery management system is configured to determine the maximum discharge power of the battery, and the battery management system includes:
  • a memory connected to at least one of the processors
  • the memory stores instructions, and when the instructions are executed by the at least one processor, the instructions cause the at least one processor to execute the method for determining the maximum discharge power of the battery described in the third aspect above.
  • FIG. 1 illustrates a flow chart of a method for determining the DC discharge resistance of a battery according to one embodiment of the present application
  • Figure 2a illustrates a flow chart of a method of determining a data table of DC discharge resistance of a battery according to an embodiment of the present application
  • Fig. 2b illustrates a flow chart of a method for updating a data table of discharge current and voltage difference according to the mutuality between data according to an embodiment of the present application
  • Figure 2c illustrates a flow chart of a method for calculating the DC discharge resistance of a battery at a corresponding position according to a linear fitting relationship between the discharge current and the voltage difference according to an embodiment of the present application
  • FIG. 3 illustrates a flowchart of a method for determining a maximum discharge power of a battery according to an embodiment of the present application
  • Figure 4a illustrates a flow chart of a method of determining a data table of the maximum discharge power of a battery according to an embodiment of the present application
  • Figure 4b illustrates a flow chart of a method for calculating the maximum discharge power of a battery at a corresponding position according to a linear fitting relationship between discharge current and voltage difference according to an embodiment of the present application.
  • FIG. 5 is a schematic diagram of a battery management system according to an embodiment of the present application.
  • first and second are only used to distinguish different objects, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of indicated technical features , a specific order or a primary-secondary relationship.
  • an embodiment means that a particular feature, structure, or characteristic described in connection with the embodiment can be included in at least one embodiment of the present application.
  • the occurrences of this phrase in various places in the specification are not necessarily all referring to the same embodiment, nor are separate or alternative embodiments mutually exclusive of other embodiments. It is understood explicitly and implicitly by those skilled in the art that the embodiments described herein can be combined with other embodiments.
  • the term “and/or” is only an association relationship describing associated objects, which means that there may be three relationships, such as A and/or B, which may mean: there is A, and there is A at the same time and B, there are three cases of B.
  • the character "/" in this article generally indicates that the contextual objects are an "or” relationship.
  • the term “plurality” refers to two or more (including two), unless otherwise clearly and specifically defined.
  • batteries are not only used in energy storage power systems such as water power, fire power, wind power and solar power plants, but also widely used in electric vehicles such as electric bicycles, electric motorcycles, electric vehicles, as well as military equipment and aerospace. field. With the continuous expansion of battery application fields, its market demand is also constantly expanding.
  • the inventor found in practice that the conventional method of obtaining the maximum available power of the battery is to search the data table of the stored discharge power according to the SOC and the battery temperature to obtain the target output power, and then according to the voltage deviation between the minimum cell voltage and the cut-off voltage or A coefficient related to the state of health (SOH) to adjust the maximum available power.
  • SOH state of health
  • there may be jumps in the temperature or SOC dimension in the pre-stored discharge power data table that is, a certain power value in the data table is too far from the power value of the front and rear temperatures or the front and rear SOC, which does not meet the power requirements. This is because the measured voltage data is not verified to be reasonable, and therefore the maximum available power obtained in this way is invalid.
  • adjusting the maximum available power only with a single-point voltage or a coefficient related to SOH is only a rough estimate and cannot accurately reflect the state of performance parameters of the battery under the current SOH.
  • the inventor thought of regularly updating the data table of the discharge power so as to relatively accurately reflect the state of the performance parameters of the battery under the current SOH.
  • the inventor thought of performing a series of screening and preprocessing on the obtained raw data before storing the obtained raw data in the data table, so that the data stored in the data table The data is reasonable and relatively reliable.
  • FIG. 1 illustrates a flowchart of a method 100 for determining a DC discharge resistance of a battery according to an embodiment of the present application.
  • the working condition data of the battery in the specified health state interval is obtained, the working condition data includes the temperature, state of charge, current, voltage and health state of the battery, and the above specified healthy state interval is The state of health interval corresponding to the latest state of health point specified for updating the data table of the DC discharge resistor that the battery has experienced.
  • step 104 according to the working condition data in the specified health state interval, the data table of the DC discharge internal resistance of the battery in the above specified health state interval is determined.
  • the current temperature and current state of charge of the battery are obtained.
  • step 108 the DC discharge resistance of the battery is determined according to the data table of the DC discharge resistance within the specified health state interval, the current temperature and the current state of charge. In other words, look up the DC discharge resistor corresponding to the current temperature and state of charge in the DC discharge resistor's data sheet.
  • the method 100 for determining the DC discharge resistance of a battery shown in FIG. 1 continuously updates the data table of the DC discharge resistance during the entire life cycle of the battery, thereby ensuring the accuracy of the determined DC discharge resistance.
  • FIG. 2 a illustrates a flowchart of a method 200 a of determining a data table of a DC discharge resistance of a battery according to an embodiment of the present application.
  • the preset operating conditions include a static period and a pulse period, the static period requires a current rate of less than or equal to 0.05C and a duration greater than or equal to 30 seconds, and the pulse period requires an average current The rate is greater than or equal to 0.2C, the state of charge is greater than or equal to 30%, and the duration is greater than or equal to 2 seconds.
  • the preset working conditions ensure that the discharge current and the voltage difference are in a linear range, so that the DC discharge resistance calculated according to the linear fitting relationship between the discharge current and the voltage difference is relatively reliable. After filtering out the data segments satisfying the preset working conditions, it is judged whether the pulse segments in the data segments are quasi-constant current, step 204 .
  • the pulse segment does not satisfy the quasi-constant current condition, convert the current in the pulse segment into an equivalent constant current, step 206 .
  • the quasi-constant current condition is that the current fluctuates no more than ⁇ 7%, preferably ⁇ 5%.
  • the equivalent constant current is calculated according to the above formulas (1) and (2). After the current is converted into an equivalent constant current, in step 208, it is judged whether the current of the data point in the above data segment is within a preset current range. If the pulse segment satisfies the quasi-constant current condition, it does not need to perform constant current conversion, and directly enters step 208 .
  • the preset current interval is between 0.05 times and 0.8 times of the maximum discharge current
  • the above maximum discharge current is the temperature and charge corresponding to the working condition of the battery with rated capacity at the above data points
  • the preset current range includes three current ranges, the first current range of the three current ranges is between 0.05 and 0.2 times the maximum discharge current, and the third current range of the three current ranges is between 0.05 and 0.2 times the maximum discharge current.
  • the second current range is between 0.2 and 0.4 times the maximum discharge current, and the third current range in the three current ranges is between 0.4 and 0.8 times the maximum discharge current.
  • the above maximum discharge current is a battery with a rated capacity.
  • the operating conditions of the above data points correspond to the temperature and the maximum current allowed for discharge in the state of charge.
  • step 210 If the current of the data point is within the preset current interval, update the discharge current and The data table of the voltage difference, step 210; otherwise, return to step 202 to obtain the working condition data of the next data point.
  • the preset sufficient conditions include: the current at the corresponding position in the two-dimensional data table of the discharge current and voltage difference is distributed in a plurality of preset current intervals; and the discharge current and voltage The square of the correlation coefficient R 2 of the linear fitting of the current I and the voltage difference ⁇ U at the corresponding position in the difference two-dimensional data table is greater than or equal to 0.95.
  • step 214 calculates the DC discharge resistance of the battery at the corresponding position according to the linear fitting relationship between the discharge current and the voltage difference, step 214; otherwise, return to step 202 to obtain the working condition data of the next data point.
  • step 216 it is judged whether the working condition covered by the calculated DC discharge resistance satisfies the preset data adequacy condition, so as to judge whether the discharge can be reasonably completed according to the existing data in the data table of the discharge current and voltage difference. All data in the current and dropout voltage datasheet.
  • the preset data sufficiency conditions include that the calculated operating conditions covered by the DC discharge resistance meet the following requirements: the covered temperature includes at least three groups of temperatures between -20 and 25°C, and at least three groups Each set of temperatures is separated by greater than or equal to 10°C; the covered temperatures include at least two sets of temperatures between 25 and 55°C, each of the at least two sets of temperatures separated by greater than or equal to 10°C; and the covered charge
  • the state between 30% and 100% includes at least two groups of states of charge, and the interval between each group of states of charge in the at least two groups of states of charge is greater than or equal to 20%.
  • the preset data sufficiency condition ensures that the data stored in the discharge current and voltage difference data table is sufficient, so that all the data in the discharge current and voltage difference data table can be completed by linear interpolation and other methods.
  • the data tables of discharge current and voltage difference are completed according to the existing data in the data table of discharge current and voltage difference, and the data of discharge current and voltage are completed based on the data in the completed data table
  • the poor linear fitting relationship is used to complete the data table of the DC discharge resistor, step 218 .
  • the data table of discharge current and voltage difference is completed by interpolation, which ensures that the data in the data table of discharge current and voltage difference conforms to the law of change and does not appear jumping points; correspondingly, the data table of the subsequently determined DC discharge resistance And the data sheet for the maximum discharge power does not appear to jump.
  • linear fitting is performed on the discharge current and the voltage difference of the known temperature and state of charge, and the existing temperature and state of charge are complemented according to the fitted ⁇ U-I curve.
  • the voltage difference between multiple preset current intervals For example, Table 1 below illustrates a data table of discharge current and voltage difference for known temperatures and known states of charge. According to the known ⁇ U of 0.05*I max , 0.25*I max , and 0.45*I max at 30% SOC and -20°C in Table 1, the ⁇ U-I curve at 30% SOC and -20°C is obtained, and according to the The curve obtains the ⁇ U under the missing current rate, and thus reciprocates to complete the ⁇ U of different discharge rates at each temperature.
  • Table 2 illustrates a data table of discharge current and voltage difference for known temperatures.
  • the linear curve of ⁇ U-SOC at -20°C and 0.05*I max is obtained, and the -20 is interpolated according to the linear curve °C and 0.05*I max , the ⁇ U under SOC is missing, and the ⁇ U under different SOC at each temperature and discharge rate is complemented in this way.
  • the unit of T in the linear curve is Kelvin, and according to The linear curve interpolates and complements the ⁇ U at the missing temperature when SOC1 is 0.05*I max , so that the ⁇ U at different temperatures under each state of charge and discharge rate is reciprocated.
  • step 220 determines whether the capacity decay of the battery has reached the preset percentage. If the capacity of the battery has not decayed by the preset percentage, return to step 202 to acquire the working condition data of the next data point. If the capacity of the battery has decayed by a preset percentage, update the DC discharge resistance DCR of the existing data point, and complete the data table of the DC discharge resistance according to the growth law of the DC discharge resistance DCR, step 222 .
  • the capacity of the battery decays by 5%, that is, ⁇ SOH>5%, it means that the internal parameters of the battery have changed greatly, and a new discharge current based on temperature and state of charge needs to be stored.
  • a 2D table of voltage differences and updated data sheets for DC discharge resistors In other words, when the capacity of the battery is 95%, 90%, 85%, 80% or the like, the data table of the DC discharge resistor is updated compulsorily by completing the data table of the DC discharge resistor according to the growth law of DCR.
  • the DC discharge resistance of the missing state of charge is calculated to complement the DC discharge resistance data table.
  • Fig. 2b illustrates a flow chart of a method 200b for updating a data table of discharge current and voltage difference according to an embodiment of the present application according to the mutuality between the data.
  • step 2102 it is judged whether the data of the data point is different from the data of the corresponding position in the data table of the discharge current and the voltage difference.
  • the criterion for judging that the data of the data point and the data of the corresponding position have mutual dissimilarity is that the current of the data point fluctuates up and down in the temperature of the data point relative to the data table of the discharge current and the voltage difference1 The current fluctuates more than 5% within °C and within 2% of the state of charge fluctuation.
  • the measured data cannot completely correspond to the SOC and temperature points of the table positions in the two-dimensional table, so it is necessary to judge which cell of the data table the measured data falls in according to the mutuality judgment standard.
  • the measured data if data is stored in the grid where the measurement data falls, it is considered to have no mutuality, and if there is no data stored in the grid where the measurement data falls, it is considered to have mutuality .
  • step 2116 store the current I and the voltage difference ⁇ U in the above-mentioned two-dimensional table according to different temperatures and SOCs.
  • step 2106 If the data of the data point is different from the data of the corresponding position, it is determined whether the data of the corresponding position has values in multiple preset current intervals, step 2106 .
  • the square of the correlation coefficient can be calculated according to the above formula (3) and formula (4).
  • step 2110 it is determined whether the data at the corresponding position has a value in the current interval where the current of the data point is located.
  • step 2116 If the data at the corresponding position has no value in the current interval where the current of the data point is located, then enter step 2116 to store the current I and the voltage difference ⁇ U. If the data at the corresponding position has a value in the current interval where the current of the data point is located, go to step 2112, and in step 2112, determine whether the data of the data point is credible.
  • the judging principle for the reliability of the data of the data point includes: when the current of the data point is greater than the current of the data at the corresponding position in the current interval where the current of the data point is located, the voltage difference of the data point is greater than the corresponding The voltage difference of the location data in the current interval where the current of the data point is located; and the resistance of the data point fluctuates no more than 20% relative to the resistance of the data of the corresponding position in the current interval of the current location of the data point, wherein the resistance of the data point It is equal to the voltage difference of the data point divided by the discharge current, and the resistance of the data at the corresponding position in the current interval of the current of the data point is equal to the voltage difference of the data at the corresponding position in the current interval of the current of the data point divided by the discharge current.
  • the judging principle of data credibility can ensure that the data conforms to the change rule, and avoid jumping points in the data table.
  • step 2114 when the current of the data point is in the first current interval I1, keep the smaller data between the current of the data point and the current of the corresponding position in the first current interval I1 ;
  • the current of the data point is in the second current interval I2 or the third current interval I3, the current of the reserved data point and the current of the corresponding position in the corresponding second current interval I2 or the third current interval I3 are larger data.
  • the operation in step 2114 preserves the current closer to both ends, so that the current distribution is more uniform, so that a more usable linear fitting curve can be obtained.
  • step 2116 enter step 2116 to store the current I and the voltage difference ⁇ U.
  • the data table of the discharge current and the voltage difference is updated according to the mutuality, and the distribution of the data stored in the data table of the discharge current and the voltage difference can be controlled, so that the linear approximation of the discharge current and the voltage difference
  • the availability of the fitting curve is higher, and it is more reliable to calculate the DC discharge resistance based on the linear fitting relationship between the discharge current and the voltage difference.
  • Fig. 2c illustrates a flow chart of a method 200c for calculating the DC discharge resistance of a battery at a corresponding position according to a linear fitting relationship between discharge current and voltage difference according to an embodiment of the present application.
  • step 2142 the discharge current and voltage difference at the corresponding position are linearly fitted to obtain the slope k and pitch b of the fitted voltage difference-current curve; in step 2144, according to the charge of the battery The electric state-open circuit voltage curve and the SOC of the corresponding position are used to obtain the open circuit voltage OCV of the corresponding position; in step 2146, the cut-off voltage U of the battery is subtracted from the open circuit voltage OCV of the corresponding position to obtain the first Maximum voltage difference ⁇ U max ; in step 2148, find the discharge current corresponding to the first maximum voltage difference ⁇ U max in the fitted voltage difference-current curve, as the first maximum discharge current I max0 ; then, in step 2150, select the first The minimum value of a maximum discharge current I max0 and a
  • FIG. 3 illustrates a flowchart of a method 300 for determining a maximum discharge power of a battery according to an embodiment of the present application.
  • the working condition data of the battery within the specified health state interval is obtained, the working condition data includes the temperature, state of charge, current, voltage and state of health of the battery, and the specified health state interval is The health state interval corresponding to the latest health state point of the data table designated for updating the maximum discharge power that the battery has experienced.
  • the latest state of health point that the battery has experienced and is designated for updating the data table of the DC discharge resistance is the latest state of health point that the battery has experienced and is designated for updating the data table of the maximum discharge power.
  • a data table of the maximum discharge power of the battery in the specified health state interval is determined.
  • the current temperature and current state of charge of the battery are obtained.
  • the maximum discharge power of the battery is determined according to the data table of the maximum discharge power within the specified health state interval, the current temperature and the current state of charge. In other words, find the maximum discharge power corresponding to the current temperature and state of charge in the maximum discharge power data table.
  • the method 300 for determining the maximum discharge power of the battery shown in FIG. 3 continuously updates the data table of the maximum discharge power during the entire life cycle of the battery, thereby ensuring the accuracy of the determined maximum discharge power and maximizing the performance of the battery. , while improving driving safety and power.
  • FIG. 4 a illustrates a flowchart of a method 400 a of determining a data table of a DC discharge resistance of a battery according to one embodiment of the present application.
  • the method illustrated in FIG. 4a is similar to the method illustrated in FIG. 2a, and the same parts will not be repeated here.
  • the maximum discharge power of the battery at the corresponding position is calculated according to the linear fitting relationship between the discharge current and the voltage difference; in step 416, whether the operating conditions covered by the calculated maximum discharge power meet the preset Data adequacy conditions and the health state of the data point complement the data table of the maximum discharge power of the battery within the specified health state interval.
  • the preset data sufficiency condition satisfied by the working condition covered by the calculated maximum discharge power is the same as the preset data sufficiency condition satisfied by the calculated working condition covered by the DC discharge resistance.
  • the data table of the discharge current and the voltage difference is completed according to the existing data in the data table of the discharge current and the voltage difference, and based on the data in the completed data table, a linear simulation of the discharge current and the voltage difference is performed.
  • the maximum discharge power P max of the existing data point is updated, and the data table of the maximum discharge power is completed according to the decay law of the maximum discharge power P max .
  • the maximum discharge power of the missing state of charge is calculated to complement the maximum discharge power data table.
  • Fig. 4b illustrates a flowchart of a method 400b for calculating the maximum discharge power of a battery at a corresponding position according to a linear fitting relationship between discharge current and voltage difference according to an embodiment of the present application.
  • the method 400b for calculating the maximum discharge power illustrated in FIG. 4b is similar to the method 300c for calculating the DC discharge resistance illustrated in FIG. 3c.
  • the difference of method 400b is that after the DC discharge resistance is calculated in step 4154, in step 4156, the open circuit voltage OCV at the corresponding position is subtracted from the DC discharge resistance DCR at the corresponding position and the actual maximum discharge current I of the battery.
  • the maximum discharge power P max is calculated according to the above formula (10).
  • an embodiment of the present application also provides a battery management system 500, including: at least one processor 501; and a memory 502 communicatively connected to the processor 501; wherein, the memory 502 stores There are instructions executable by the processor.
  • the instructions When the instructions are executed by the processor 501, the instructions cause the processor 501 to execute the method for determining the DC discharge resistance of the battery and/or for determining the DC discharge resistance of the battery provided by the embodiments of the present application. method of maximum discharge power.
  • the processor 501 and the memory 502 are electrically connected directly or indirectly to realize data transmission or interaction.
  • these components can be electrically connected through one or more communication buses or signal buses.
  • the methods for correcting the state of charge of the battery each include at least one software function module that can be stored in the memory 502 in the form of software or firmware.
  • the processor 501 may be an integrated circuit chip with signal processing capability.
  • the processor 501 can be a general-purpose processor, including a central processing unit (Central Processing Unit, CPU), a network processor (Network Processor, NP), etc.; it can also be a digital signal processor, an application-specific integrated circuit, an off-the-shelf programmable gate array or Other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components. It can realize or execute the various methods, steps and logic block diagrams disclosed in the embodiments of the present application.
  • a general-purpose processor may be a microprocessor, or the processor may be any conventional processor, or the like.
  • the memory 502 can store various software programs and modules, such as the program instructions/modules corresponding to the method for determining the DC discharge resistance of the battery and/or the method and device for determining the maximum discharge power of the battery provided in the embodiments of the present application .
  • the processor 501 executes various functional applications and data processing by running software programs and modules stored in the memory 502 , that is, implements the methods in the embodiments of the present application.
  • Memory 502 can include but not limited to random access memory (Random Access Memory, RAM), read-only memory (Read Only Memory, ROM), programmable read-only memory (Programmable Read-Only Memory, PROM), erasable read-only memory Memory (Erasable Programmable Read-Only Memory, EPROM), Electric Erasable Programmable Read-Only Memory (EEPROM), etc.
  • RAM Random Access Memory
  • ROM read-only memory
  • PROM programmable read-only memory
  • PROM Programmable Read-Only Memory
  • EPROM Erasable Programmable Read-Only Memory
  • EEPROM Electric Erasable Programmable Read-Only Memory
  • the present application also provides a device, which includes: a battery; and a battery management system as shown in FIG. 5 .
  • Batteries can be used as a power source for a device or as an energy storage unit for a device.
  • Devices can be, but not limited to, mobile devices (such as mobile phones, laptops, etc.), electric vehicles (such as pure electric vehicles, hybrid electric vehicles, plug-in hybrid electric vehicles, electric bicycles, electric scooters, electric golf carts, Electric trucks, etc.), electric trains, ships and satellites, energy storage systems, etc.
  • a device can choose a battery according to its usage needs.

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  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Manufacturing & Machinery (AREA)
  • Chemical & Material Sciences (AREA)
  • Chemical Kinetics & Catalysis (AREA)
  • Electrochemistry (AREA)
  • General Chemical & Material Sciences (AREA)
  • Secondary Cells (AREA)
  • Charge And Discharge Circuits For Batteries Or The Like (AREA)
  • Tests Of Electric Status Of Batteries (AREA)

Abstract

La présente demande concerne un procédé de détermination de la résistance à la décharge en courant continu d'une batterie. Le procédé consiste à : acquérir des données de condition de travail d'une batterie dans un intervalle d'état de santé spécifié, les données de condition de travail comprenant la température, l'état de charge, le courant et la tension de la batterie, et l'intervalle d'état de santé spécifié est l'intervalle d'état de santé correspondant au dernier point de santé du point de santé, qui a été dépassé et est spécifié pour mettre à jour une table de données de résistance à la décharge en courant continu ; déterminer une table de données de résistance à la décharge en courant continu de la batterie à l'intérieur de l'intervalle d'état de santé spécifié en fonction des données de condition de travail de la batterie dans l'intervalle d'état de santé spécifié ; acquérir la température actuelle et l'état actuel de charge de la batterie ; et déterminer la résistance à la décharge en courant continu de la batterie en fonction de la table de données de la résistance à la décharge en courant continu à l'intérieur de l'intervalle d'état de santé spécifié, de la température actuelle et de l'état actuel de charge. La présente demande concerne en outre un procédé de détermination de la puissance de décharge maximale d'une batterie, et un système de gestion de batterie.
PCT/CN2021/129543 2021-11-09 2021-11-09 Procédé pour déterminer une résistance à la décharge en courant continu, procédé pour déterminer une puissance de décharge maximale, et système de gestion de batterie WO2023082046A1 (fr)

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CN202180089056.7A CN116685853A (zh) 2021-11-09 2021-11-09 确定直流放电电阻和最大放电功率的方法及电池管理***

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CN1581564A (zh) * 2003-08-07 2005-02-16 现代自动车株式会社 确定稳态电池终端电压的方法
US20120091965A1 (en) * 2010-10-13 2012-04-19 Kyung-Won Seo Power storage apparatus
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