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WO2018181624A1 - Dispositif d'estimation de quantité d'électricité stockée, module de stockage d'électricité, procédé d'estimation de quantité d'électricité stockée et programme informatique - Google Patents

Dispositif d'estimation de quantité d'électricité stockée, module de stockage d'électricité, procédé d'estimation de quantité d'électricité stockée et programme informatique Download PDF

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Publication number
WO2018181624A1
WO2018181624A1 PCT/JP2018/013057 JP2018013057W WO2018181624A1 WO 2018181624 A1 WO2018181624 A1 WO 2018181624A1 JP 2018013057 W JP2018013057 W JP 2018013057W WO 2018181624 A1 WO2018181624 A1 WO 2018181624A1
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WIPO (PCT)
Prior art keywords
voltage value
soc
storage amount
amount
hysteresis
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PCT/JP2018/013057
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English (en)
Japanese (ja)
Inventor
南 鵜久森
祐一 池田
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株式会社Gsユアサ
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Publication date
Application filed by 株式会社Gsユアサ filed Critical 株式会社Gsユアサ
Priority to US16/498,246 priority Critical patent/US20200018798A1/en
Priority to EP18777306.4A priority patent/EP3605125B1/fr
Priority to CN201880023160.4A priority patent/CN110476073B/zh
Priority claimed from JP2018062289A external-priority patent/JP6409208B1/ja
Publication of WO2018181624A1 publication Critical patent/WO2018181624A1/fr

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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]
    • G01R31/382Arrangements for monitoring battery or accumulator variables, e.g. SoC
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01MPROCESSES OR MEANS, e.g. BATTERIES, FOR THE DIRECT CONVERSION OF CHEMICAL ENERGY INTO ELECTRICAL ENERGY
    • H01M10/00Secondary cells; Manufacture thereof
    • H01M10/42Methods or arrangements for servicing or maintenance of secondary cells or secondary half-cells
    • H01M10/48Accumulators combined with arrangements for measuring, testing or indicating the condition of cells, e.g. the level or density of the electrolyte
    • 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]
    • 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]
    • G01R31/382Arrangements for monitoring battery or accumulator variables, e.g. SoC
    • G01R31/3842Arrangements for monitoring battery or accumulator variables, e.g. SoC combining voltage and current measurements
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01MPROCESSES OR MEANS, e.g. BATTERIES, FOR THE DIRECT CONVERSION OF CHEMICAL ENERGY INTO ELECTRICAL ENERGY
    • H01M10/00Secondary cells; Manufacture thereof
    • H01M10/42Methods or arrangements for servicing or maintenance of secondary cells or secondary half-cells
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J7/00Circuit arrangements for charging or depolarising batteries or for supplying loads from batteries
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
    • Y02E60/10Energy storage using batteries

Definitions

  • the present invention relates to a storage amount estimation device that estimates a storage amount such as SOC (State Of Charge) of a storage element, a storage module including the storage amount estimation device, a storage amount estimation method, and a computer program.
  • SOC State Of Charge
  • High capacity is required for secondary batteries for vehicles used in electric cars, hybrid cars, etc., and for industrial secondary batteries used in power storage devices, solar power generation systems, and the like.
  • Various examinations and improvements have been made so far, and it is difficult to realize a higher capacity only by improving the electrode structure and the like. For this reason, development of a positive electrode material having a higher capacity than the current material is underway.
  • lithium transition metal composite oxides having an ⁇ -NaFeO 2 type crystal structure have been studied as positive electrode active materials for non-aqueous electrolyte secondary batteries such as lithium ion secondary batteries, and non-aqueous electrolyte secondary batteries using LiCoO 2 have been studied. Secondary batteries have been widely used.
  • the discharge capacity of LiCoO 2 was about 120 to 160 mAh / g.
  • the lithium transition metal composite oxide is represented by LiMeO 2 (Me is a transition metal)
  • Mn is included as Me, if the molar ratio Mn / Me in Me exceeds 0.5, the structure changes to a spinel type when charged and the crystal structure cannot be maintained. Cycle performance is extremely inferior.
  • LiMeO 2 type active materials in which the molar ratio Mn / Me in Me is 0.5 or less and the molar ratio Li / Me to Me is approximately 1 have been proposed and put to practical use.
  • the positive electrode active material containing LiNi 1/2 Mn 1/2 O 2 and LiNi 1/3 Co 1/3 Mn 1/3 O 2 which are lithium transition metal composite oxides has a discharge capacity of 150 to 180 mAh / g. Have.
  • Lithium transition metal composite oxide in which Mn molar ratio Mn / Me in Me exceeds 0.5 and Li composition ratio Li / Me is greater than 1 with respect to the ratio of transition metal (Me) to LiMeO 2 type active material
  • Mn molar ratio Mn / Me in Me exceeds 0.5
  • Li composition ratio Li / Me is greater than 1 with respect to the ratio of transition metal (Me) to LiMeO 2 type active material
  • Li 2 MnO 3 -based active material As the above-described high-capacity positive electrode material, a lithium-excess type Li 2 MnO 3 -based active material has been studied. This material has a property of hysteresis in which a voltage value and electrochemical characteristics with respect to the same SOC (State Of Charge) change depending on a charge history and a discharge history.
  • SOC State Of Charge
  • the OCV method (refer to voltage) for determining the SOC based on the correlation (SOC-OCV curve) in which the OCV (Open Circuit Voltage) of the secondary battery and the SOC correspond one-to-one.
  • a current integration method in which the SOC is determined by integrating the charge / discharge current values of the secondary battery.
  • SOC i SOC i-1 + I i ⁇ ⁇ t i / Q ⁇ 100 (1)
  • SOC i This SOC SOC i-1 : Previous SOC I: current value ⁇ t: time interval Q: battery capacity (available capacity)
  • the relationship between SOC and OCV in the discharging process is stored as discharging OCV information for each switching SOC, which is the SOC when switching from charging to discharging.
  • the secondary battery control device is configured to calculate the SOC in the discharging process of the secondary battery based on the switching SOC at the time of actually switching from charging to discharging and the discharging OCV information.
  • an SOC-OCV curve at the time of discharge is selected from the voltage value reached by charging, and the SOC is estimated based on the SOC-OCV curve and the current voltage value.
  • the SOC cannot be estimated based on the voltage value of the charging process.
  • the present invention relates to a storage amount estimation device capable of estimating a storage amount of a storage element including an active material whose storage amount-voltage value characteristic exhibits hysteresis, a storage module including the storage amount estimation device, a storage amount estimation method, and a computer program.
  • the purpose is to provide.
  • the amount of power storage means SOC, the amount of electric power that can be discharged, and the like.
  • the storage amount estimation apparatus has two or more electrochemical reactions depending on the charge / discharge transition, and the hysteresis of the storage amount-voltage value characteristic when one electrochemical reaction occurs is
  • a storage amount estimation device for estimating a storage amount of a storage element including an active material in at least one of a positive electrode and a negative electrode, which is smaller than the hysteresis when a reaction occurs, wherein the one electrochemical reaction is the other electrochemical reaction
  • An estimator that estimates the charged amount based on the charged amount-voltage value characteristic when more frequently occurs is provided.
  • “when one electrochemical reaction occurs” includes “when an electrochemical reaction occurs as a group simultaneously”.
  • “When another electrochemical reaction occurs” includes “when an electrochemical reaction occurs as a group simultaneously”.
  • the inventors of the present application have found that in a power storage device using an electrode material having hysteresis, a reaction with a large hysteresis and a reaction with a small hysteresis occur substantially independently, and the above configuration is conceived. It came. This knowledge has not been known so far and has been newly found by the present inventors.
  • the charged amount can be estimated based on the voltage value in any process of charging and discharging, and even when charging and discharging are repeated in a complicated pattern. Since the voltage value is used, the amount of stored electricity is not limited to the SOC, and the amount of current energy stored in the battery, such as the amount of power, can be estimated. Based on the charge / discharge curve, the dischargeable energy up to SOC 0% and the charge energy required up to SOC 100% can be predicted.
  • mold active material It is a graph which shows transition of the K absorption edge energy of Ni of the Li excess type active material computed by X-ray absorption spectroscopy measurement (XAFS measurement) with respect to the electric quantity. It is a graph which shows transition of the K absorption edge energy of Ni at the time of charging / discharging. It is a graph which shows the result of having calculated
  • FIG. 13 is a graph showing a difference between when the SOC is estimated by referring to the voltage of the present embodiment and when the SOC is estimated by current integration when charging / discharging shown in FIG. 13 is a graph showing a difference between when an SOC is estimated by voltage reference and when an SOC is estimated by current integration when charging and discharging in a pattern different from that of FIG.
  • FIG. 13 is a graph showing a difference between when an SOC is estimated by voltage reference and when an SOC is estimated by current integration when charging and discharging in a pattern different from that of FIG.
  • FIG. 13 is a graph showing a difference between when the SOC is estimated by voltage reference and when the SOC is estimated by current integration when the charge / discharge shown in FIG. 12 is performed for a deteriorated battery.
  • FIG. 17 is a graph showing a difference between when a SOC of a deteriorated battery is charged and discharged in the same pattern as in FIG. 16 and when SOC is estimated by voltage reference and when SOC is estimated by current integration.
  • FIG. 18 is a graph showing a difference between when a SOC of a deteriorated battery is charged and discharged in the same pattern as in FIG. 17 and when SOC is estimated by voltage reference and when SOC is estimated by current integration. It is a flowchart which shows the procedure of the SOC estimation process by CPU. It is a flowchart which shows the procedure of the SOC estimation process by CPU.
  • the electrode body of the power storage device includes an active material having a stored power-voltage value characteristic having hysteresis.
  • the active material of the electricity storage element is a Li-rich LiMeO 2 —Li 2 MnO 3 solid solution containing Ni and the amount of electricity stored is SOC will be described as an example.
  • FIG. 1 is a graph showing the results of determining the relationship between the amount of electricity and the charge / discharge voltage value for this Li-excess type active material using a lithium cell of the counter electrode Li.
  • the horizontal axis represents the amount of electricity (mAh / g), and the vertical axis represents the charge / discharge voltage value (VvsLi / Li + : Li / Li + potential difference based on the equilibrium potential).
  • the amount of electricity corresponds to the SOC.
  • the voltage value differs between an increase (charge) and a decrease (discharge) of the SOC. That is, the voltage values for the same SOC are different and have hysteresis. In the case of this active material, the potential difference with respect to the same SOC is smaller in the high SOC region than in the low SOC region, and the hysteresis is small.
  • FIG. 2 is a graph showing the transition of the K absorption edge energy of Ni of the Li-rich active material calculated by X-ray absorption spectroscopy measurement (XAFS measurement) with respect to the amount of electricity.
  • the horizontal axis represents the amount of electricity (mAh / g), and the vertical axis represents the K absorption edge energy E 0 (eV) of Ni.
  • FIG. 3 is a graph showing the transition of the K absorption edge energy of Ni during charging and discharging.
  • the horizontal axis represents the charge / discharge voltage value (VvsLi / Li + ), and the vertical axis represents the K absorption edge energy E 0 (eV) of Ni.
  • the K absorption edge energy transition of Ni in the charge reaction does not coincide with the energy transition of the discharge reaction.
  • the energy transition of the discharge reaction does not coincide with the energy transition of the charge reaction. That is, it can be seen that a redox reaction other than Ni that has hysteresis occurs mainly (this reaction is A reaction).
  • the reaction A is an oxidation reaction in the high SOC region and a reduction reaction in the low SOC region.
  • the K absorption edge energy of Ni in the charge reaction and the discharge reaction changes substantially linearly with respect to the SOC.
  • the K absorption edge energy of Ni is substantially the same between charge and discharge.
  • the valence of Ni is equal, and in this voltage range, the valence change of Ni corresponds to a voltage value of approximately 1: 1, and Ni is reversible. It is thought that it is reacting. That is, in the SOC region, a redox reaction with a small hysteresis indicated by the SOC-OCP characteristic is mainly generated (this reaction is referred to as B reaction).
  • OCP means open circuit potential.
  • the reaction amount of B is larger than the reaction amount of A, and as a result, the hysteresis is smaller than that in the low SOC region.
  • the lower voltage value (lower limit voltage value) in the region where the reaction of B mainly occurs is obtained by experiments.
  • the presence or absence of hysteresis is substantially switched.
  • the oxidation amount and reduction amount of the reaction of B are considered to be small.
  • the SOC is estimated by voltage reference based on the reached voltage value.
  • the description is given focusing on only the oxidation-reduction reaction of Ni, but the reaction of B is not limited to the oxidation-reduction reaction of Ni.
  • the reaction B is a reaction in which the hysteresis of the storage amount-voltage value characteristic is small among one or a group of reactions caused by the active material according to the transition of charge / discharge.
  • FIG. 4 is a graph showing the results of determining the relationship between the amount of electricity and the charge / discharge voltage value using a lithium cell of the counter electrode Li for this power storage element.
  • the horizontal axis represents the amount of electricity (mAh / g), and the vertical axis represents the charge / discharge voltage value (VvsLi / Li + : Li / Li + potential difference based on the equilibrium potential).
  • the amount of electricity corresponds to the SOC.
  • the voltage value differs between the charge curve and the discharge curve. That is, the voltage values for the same SOC are different and have hysteresis. In the case of this active material, the potential difference with respect to the same SOC is smaller in the high SOC region than in the low SOC region, and the hysteresis is small.
  • FIG. 5 is a charge / discharge curve in a case where a region having a large hysteresis and a region having a small hysteresis appear alternately as the SOC (or voltage value) increases.
  • the horizontal axis represents SOC (%), and the vertical axis represents voltage value (V).
  • the positive electrode includes a plurality of Li-rich active materials having different compositions
  • the negative electrode includes a plurality of active materials having a large hysteresis
  • each of the positive electrode and the negative electrode includes an active material having a large hysteresis
  • a region where the hysteresis is large and a region where the hysteresis is small May appear alternately or may overlap.
  • the hysteresis is smaller than in the region (1) where the voltage value is a or less.
  • a reaction of C having a large hysteresis and a reaction of D having a small hysteresis occur. Since the reaction amount of D is large in the region (2), the hysteresis is smaller than that in the region (1) as a result.
  • the hysteresis is smaller than in the region (3) where the voltage value is b to c.
  • the lower limit voltage value a of the region (2) and the lower limit voltage value c of the region (4) are obtained by experiments. When it is determined that the charged state or the discharged state is in the region (2) corresponding to the voltage region above the lower limit voltage value a based on the rise and fall of the voltage value, and the region corresponding to the voltage region above the lower limit voltage value c When it determines with it being in (4), each SOC is estimated by voltage reference based on the ultimate voltage value mentioned later.
  • the voltage value region is not limited to the case where the voltage value region is divided into two or four regions as described above.
  • the SOC is referred by voltage reference. Is estimated.
  • FIG. 6 shows an example of a power storage module.
  • the power storage module 50 includes a plurality of power storage elements 200, a monitoring device 100, and a storage case 300 that stores them.
  • the power storage module 50 may be used as a power source for an electric vehicle (EV) or a plug-in hybrid electric vehicle (PHEV).
  • the power storage element 200 is not limited to a square cell, and may be a cylindrical cell or a pouch cell.
  • the monitoring device 100 may be a circuit board arranged to face the plurality of power storage elements 200. Monitoring device 100 monitors the state of power storage element 200.
  • the monitoring device 100 may be a storage amount estimation device. Alternatively, a computer or server that is wired or wirelessly connected to the monitoring device 100 may execute the storage amount estimation method based on information output from the monitoring device 100.
  • FIG. 7 shows another example of the power storage module.
  • the power storage module (hereinafter referred to as a battery module) 1 may be a 12-volt power source or a 48-volt power source that is suitably mounted on an engine vehicle.
  • 7 is a perspective view of the battery module 1 for 12V power supply
  • FIG. 8 is an exploded perspective view of the battery module 1
  • FIG. 9 is a block diagram of the battery module 1.
  • the battery module 1 has a rectangular parallelepiped case 2.
  • the case 2 houses a plurality of lithium ion secondary batteries (hereinafter referred to as batteries) 3, a plurality of bus bars 4, a BMU (Battery Management Unit) 6, and a current sensor 7.
  • batteries hereinafter referred to as batteries
  • BMU Battery Management Unit
  • the battery 3 includes a rectangular parallelepiped case 31 and a pair of terminals 32 and 32 provided on one side of the case 31 and having different polarities.
  • the case 31 accommodates an electrode body 33 in which a positive electrode plate, a separator, and a negative electrode plate are stacked.
  • At least one of the positive electrode active material included in the positive electrode plate of the electrode body 33 and the negative electrode active material included in the negative electrode plate causes two or more electrochemical reactions depending on the transition of charge / discharge.
  • the hysteresis of the charged amount-voltage value characteristic shown when one electrochemical reaction occurs is smaller than the hysteresis when the other electrochemical reaction occurs.
  • LiMeO 2 -Li 2 MnO 3 solid solution described above, Li 2 O-LiMeO 2 solid solution, Li 3 NbO 4 -LiMeO 2 solid solution, Li 4 WO 5 -LiMeO 2 solid solution, Li 4 TeO 5 -LiMeO 2 solid solution, Li 3 SbO 4 -LiFeO 2 solid solution, Li 2 RuO 3 -LiMeO 2 solid solution, and a Li-excess active material such as Li 2 RuO 3 -Li 2 MeO 3 solid solution.
  • the negative electrode active material examples include metals or alloys such as hard carbon, Si, Sn, Cd, Zn, Al, Bi, Pb, Ge, and Ag, or chalcogenides containing these.
  • An example of a chalcogenide is SiO.
  • the technology of the present invention is applicable as long as at least one of these positive electrode active materials and negative electrode active materials is included.
  • Case 2 is made of synthetic resin.
  • the case 2 includes a case main body 21, a lid portion 22 that closes the opening of the case main body 21, a BMU housing portion 23 provided on the outer surface of the lid portion 22, a cover 24 that covers the BMU housing portion 23, and an inner lid 25 and a partition plate 26.
  • the inner lid 25 and the partition plate 26 may not be provided.
  • the battery 3 is inserted between the partition plates 26 of the case body 21.
  • a plurality of metal bus bars 4 are placed on the inner lid 25.
  • the inner lid 25 is arranged on the terminal surface on which the terminal 32 of the battery 3 is provided, the adjacent terminals 32 of the adjacent batteries 3 are connected by the bus bar 4, and the batteries 3 are connected in series.
  • the BMU accommodating portion 23 has a box shape, and has a protruding portion 23a protruding in a square shape on the outer side at the central portion of the long side surface.
  • a pair of external terminals 5 and 5 made of a metal such as a lead alloy and having different polarities are provided on both sides of the protruding portion 23a of the lid portion 22.
  • the BMU 6 includes an information processing unit 60, a voltage measurement unit 8, and a current measurement unit 9 mounted on a substrate.
  • the battery 3 and the BMU 6 are connected by accommodating the BMU 6 in the BMU accommodating part 23 and covering the BMU accommodating part 23 with the cover 24.
  • the information processing unit 60 includes a CPU 62 and a memory 63.
  • the memory 63 stores an SOC estimation program 63a according to the present embodiment and a table 63b in which a plurality of SOC-OCV curves (data) are stored.
  • the SOC estimation program 63a is provided in a state stored in a computer-readable recording medium 70 such as a CD-ROM, DVD-ROM, or USB memory, and is stored in the memory 63 by being installed in the BMU 6.
  • the SOC estimation program 63a may be acquired from an external computer (not shown) connected to the communication network and stored in the memory 63.
  • the CPU 62 executes an SOC estimation process to be described later in accordance with the SOC estimation program 63a read from the memory 63.
  • the voltage measuring unit 8 is connected to both ends of the battery 3 via voltage detection lines, and measures the voltage value of each battery 3 at predetermined time intervals.
  • the current measuring unit 9 measures the current value flowing through the battery 3 via the current sensor 7 at predetermined time intervals.
  • External terminals 5 and 5 of the battery module 1 are connected to a load 11 such as an engine starter motor and electrical components.
  • the ECU (Electronic Control Unit) 10 is connected to the BMU 6 and the load 11.
  • the lower limit voltage value When OCV can be measured as the lower limit voltage value, the lower limit voltage value may be constant.
  • CCV Current Circuit Voltage
  • CCV Current Circuit Voltage
  • causes of deterioration of the power storage element include an increase in internal resistance and an increase in deviation in capacity balance.
  • the difference in capacity balance is, for example, that a difference occurs between the amount of side reactions other than charge / discharge reactions at the positive electrode and the amount of side reactions other than charge / discharge reactions at the negative electrode, so that one of the positive electrode and the negative electrode is completely Means that the positive and negative electrodes have different capacities in which charged ions can enter and leave the electrode reversibly.
  • a table 63b of the memory 63 stores a plurality of SOC-OCV curves from the lower limit voltage value to a plurality of ultimate voltage values. For example, the SOC-OCV curve b from the lower limit voltage value E0 V to the ultimate voltage value E1 V, the SOC-OCV curve c from the lower limit voltage value E0 V to the ultimate voltage value E2 V, and the lower limit voltage value E0 V to the ultimate voltage value E3 V The SOC-OCV curve d up to is stored.
  • SOC-OCV curves b, c, and d are not shown in the figure, although they are also referred to in a comparative test described later.
  • SOC-OCV curves corresponding to all reached voltage values are stored continuously, not discretely. Instead of storing continuously, based on adjacent SOC-OCV curves, a curve to be positioned between the curves may be obtained by interpolation calculation, and the SOC may be estimated from the voltage value and the curve.
  • a discharge OCV curve and a charge OCV curve are obtained for each SOC (%) where the SOC is 40% to 100% when each SOC (%) is changed from 40% to 100%.
  • the discharge OCV curve can be obtained by passing a minute current in the discharge direction and measuring the voltage value at that time.
  • a voltage value with a stable voltage value is measured by discharging from the charged state to each SOC and stopping.
  • the charging OCV curve can be obtained by performing the above measurement in the charging direction.
  • the active material has a slight hysteresis, it is preferable to use an OCV curve obtained by averaging the discharge OCV curve and the charge OCV curve.
  • a discharge OCV curve and a charge OCV curve, or those obtained by correcting them may be used.
  • the discharge OCP curve and the charge OCP curve may be obtained first, and then corrected to the SOC-OCV curve for battery 3 voltage reference.
  • the SOC-OCV curve may be stored in the table 63b in advance, and may be updated at predetermined time intervals in consideration of deterioration of the battery 3.
  • the SOC-OCV curve is not limited to being stored in the table 63b, and may be stored in the memory 63 as an intermediate expression.
  • 10 and 11 are flowcharts showing the procedure of the SOC estimation process performed by the CPU 62.
  • the CPU 62 repeats the processing from S1 at a predetermined or appropriate time interval.
  • CPU62 acquires the voltage value and electric current value between the terminals of the battery 3 (S1). Since the lower limit voltage value and the ultimate voltage value described later are OCV, it is necessary to correct the acquired voltage value to OCV when the current amount of the battery 3 is large.
  • the correction value to OCV is obtained by estimating the voltage value when the current value is zero using a regression line from a plurality of voltage value and current value data.
  • the acquired voltage value can be regarded as OCV.
  • the CPU62 determines whether the absolute value of an electric current value is more than a threshold value (S2).
  • the threshold value is set in order to determine whether the state of the battery 3 is a charged state, a discharged state, or a resting state. If the CPU 62 determines that the absolute value of the current value is not equal to or greater than the threshold value (S2: NO), the process proceeds to S13.
  • the CPU 62 determines whether the current value is greater than 0 (S3). When the current value is larger than 0, it can be determined that the state of the battery 3 is the charged state. If the CPU 62 determines that the current value is not greater than 0 (S3: NO), the process proceeds to S9.
  • the CPU 62 determines whether the current value is greater than 0 (S3: YES), it determines whether the voltage value is equal to or higher than the lower limit voltage value (S4). If the CPU 62 determines that the voltage value is not greater than or equal to the lower limit voltage value (S4: NO), the process proceeds to S8.
  • the CPU 62 determines that the voltage value is greater than or equal to the lower limit voltage value (S4: YES). If the CPU 62 determines that the voltage value is greater than or equal to the lower limit voltage value (S4: YES), the CPU 62 turns on the voltage reference flag (S5). The CPU 62 determines whether or not the acquired voltage value is larger than the previous reached voltage value (S6). If the CPU 62 determines that the voltage value is not greater than the previous reached voltage value (S6: NO), the process proceeds to S8.
  • the CPU 62 determines that the voltage value is larger than the previous ultimate voltage value (S6: YES)
  • the CPU 62 updates the voltage value to the ultimate voltage value in the memory 63 (S7).
  • CPU62 estimates SOC by electric current integration (S8), and complete
  • the CPU 62 determines whether or not the voltage value is less than the lower limit voltage value in S9 (S9). If the CPU 62 determines that the voltage value is not less than the lower limit voltage value (S9: NO), the process proceeds to S12. When the CPU 62 determines that the voltage value is less than the lower limit voltage value (S9: YES), the CPU 62 turns off the voltage reference flag (S10). The CPU 62 resets the ultimate voltage value (S11). The CPU 62 estimates the SOC by current integration (S12) and ends the process.
  • the CPU 62 determines whether or not the voltage reference flag is on (S13). If the CPU 62 determines that the voltage reference flag is not on (S13: NO), the process proceeds to S16.
  • the CPU 62 determines whether or not the set time has elapsed since it was determined to be in the dormant state in the previous S2 (S14). As the set time, a sufficient time for considering the acquired voltage value as the OCV is obtained in advance by an experiment. It is determined whether or not the time has been exceeded based on the number of acquisitions and the acquisition interval of the current value after determining that it is in a resting state. Thereby, the SOC can be estimated with higher accuracy in the resting state. If the CPU 62 determines that the set time has not elapsed (S14: NO), the process proceeds to S16. In S16, the CPU 62 estimates the SOC by current integration and ends the process.
  • the CPU 62 determines that the set time has elapsed (S14: YES), the acquired voltage value can be regarded as the OCV, and the SOC is estimated by referring to the voltage (S15), and the process is terminated.
  • the CPU 62 selects one SOC-OCV curve from the table 63b based on the ultimate voltage value stored in the memory 63.
  • the voltage value rises and falls, that is, the high inflection point among the inflection points switched from charging to discharging is set to the ultimate voltage value.
  • the SOC corresponding to the voltage value acquired in S1 is read.
  • the voltage value acquired by the CPU 62 from the voltage measuring unit 8 varies somewhat depending on the current value. Therefore, the voltage value can be corrected by obtaining a correction coefficient through experiments.
  • FIG. 12 is a graph showing the transition of the voltage value with respect to time during charging and discharging.
  • the horizontal axis represents time (seconds), and the vertical axis represents the charge / discharge voltage value (VvsLi / Li + ).
  • the present Example since the present Example is performing charging / discharging by a very small electric current, it has confirmed that the voltage value during electricity supply shows the substantially same value as OCV.
  • the first discharge was performed.
  • the voltage value reached E1 V the second discharge was performed.
  • E3V is stored as the first reached voltage value.
  • the reached voltage value is updated when it exceeds E3 ⁇ ⁇ V in the second charge.
  • the SOC-OCV curve d is used until E3 V is reached in the first discharge and the second charge.
  • Another SOC-OCV curve stored in the table 63b is used between E3 V and E1 V in the second charge.
  • the SOC-OCV curve b is used between E1 V of the second discharge and the lower limit voltage value E0 V.
  • FIG. 13 shows the transition of the SOC calculated by voltage reference during the first discharge and the second charge until E3 V is reached, and between the second discharge E3 V and the lower limit voltage E0 V.
  • FIG. 14 shows the transition of the SOC when the SOC is calculated by current integration in the transition of the charge / discharge voltage value of FIG.
  • FIG. 15 shows the difference between when the SOC is estimated by referring to the voltage of the present embodiment and when the SOC is estimated by conventional current integration when the charge / discharge shown in FIG. It is a graph which shows.
  • the horizontal axis represents time (seconds), the left vertical axis represents SOC (%), and the right vertical axis represents the difference (%).
  • the estimation of the SOC by current integration as a control confirms the discharge capacity in advance and uses a highly accurate ammeter, so the discharge capacity of Q and the current value of I in equation (1) are accurate. is there. It is thought that it approximates the true value.
  • e is a transition of SOC obtained by current integration
  • f is a transition of SOC obtained by voltage reference using the SOC-OCV curves d and b
  • g is a difference.
  • the difference was obtained by (SOC calculated by voltage reference) ⁇ (SOC calculated by current integration).
  • FIG. 15 shows that the difference is less than about ⁇ 4% and is small.
  • FIG. 16 is a graph showing a difference between when the SOC is estimated by voltage reference and when the SOC is estimated by current integration when the battery 3 of the initial product is charged and discharged in a pattern different from that of FIG. is there.
  • the horizontal axis represents time (seconds), the left vertical axis represents SOC (%), and the right vertical axis represents the difference (%).
  • e is a transition of SOC obtained by current integration
  • f is a transition of SOC obtained by voltage reference using the SOC-OCV curves c and b
  • g is a difference. It can be seen from FIG. 16 that the difference is less than about ⁇ 3% and is small.
  • FIG. 17 is a graph showing the difference between when the SOC is estimated by voltage reference and when the SOC is estimated by current integration when the battery 3 of the initial product is charged and discharged in a pattern different from that of FIG. is there.
  • the horizontal axis represents time (seconds), the left vertical axis represents SOC (%), and the right vertical axis represents the difference (%).
  • e is a transition of SOC obtained by current integration
  • f is a transition of SOC obtained by voltage reference using the SOC-OCV curve b
  • g is a difference.
  • FIG. 17 shows that the difference is less than about ⁇ 5% and is small. From the above, it was confirmed that the SOC estimation based on the voltage reference of the present embodiment has a small error and high accuracy from the SOC estimation based on the current integration of the control.
  • FIG. 18 is a graph showing a difference between when the SOC is estimated by referring to the voltage and when the SOC is estimated by current integration when the charge / discharge shown in FIG. 12 is performed for the deteriorated battery 3.
  • the horizontal axis represents time (seconds), the left vertical axis represents SOC (%), and the right vertical axis represents the difference (%).
  • an SOC-OCV curve of a deteriorated product is also obtained by experiment and stored. Alternatively, as described above, the SOC-OCV curve is updated at predetermined time intervals.
  • e is a transition of SOC obtained by current integration
  • f is a transition of SOC obtained by voltage reference using a SOC-OCV curve of a deteriorated product
  • g is a difference.
  • FIG. 18 shows that the difference is less than about ⁇ 4% and is small.
  • FIG. 19 is a graph showing the difference between when the SOC is estimated by voltage reference and when the SOC is estimated by current integration, when charging and discharging the same pattern as in FIG. It is.
  • the horizontal axis represents time (seconds), the left vertical axis represents SOC (%), and the right vertical axis represents the difference (%).
  • e is a transition of SOC obtained by current integration
  • f is a transition of SOC obtained by voltage reference using a SOC-OCV curve of a deteriorated product
  • g is a difference.
  • FIG. 19 shows that the difference is less than about ⁇ 4% and is small.
  • FIG. 20 is a graph showing a difference between when the SOC is estimated based on voltage reference and when the SOC is estimated by current integration when charging / discharging in the same pattern as in FIG. It is.
  • the horizontal axis represents time (seconds), the left vertical axis represents SOC (%), and the right vertical axis represents the difference (%).
  • e is a transition of SOC obtained by current integration
  • f is a transition of SOC obtained by voltage reference using a SOC-OCV curve of a deteriorated product
  • g is a difference.
  • FIG. 20 shows that the difference is less than about ⁇ 5% and is small. From the above, it was confirmed that the SOC estimation based on the voltage reference of the present embodiment has a small error and high accuracy even in the deteriorated battery 3 with the SOC estimation based on the current integration of the control.
  • the hysteresis is small (substantially no hysteresis), and the SOC is calculated based on the SOC-OCV curve and the current voltage value in the range from the lower limit voltage value to the reached voltage value. Since the estimation is performed, the accuracy of the estimation of the SOC is good. Therefore, the OCV reset can be performed with high accuracy.
  • the SOC can be estimated in both charging and discharging. By selecting the SOC-OCV curve based on the set reached voltage value, when charging / discharging is repeated in a complicated pattern, the SOC can be estimated based only on the voltage value history. Further, only when the acquired voltage value exceeds the previous reached voltage value, the reached voltage value is updated, so that the SOC-OCV curve is selected based on the final voltage value at the time of charging with higher accuracy. The SOC can be estimated.
  • the amount of electricity stored is not limited to SOC, and the amount of current energy stored in the battery 3 such as the amount of power can be estimated.
  • the SOC-OCV curve corresponding to different ultimate voltage values are used.
  • the SOC-OCV curve corresponding to all the reached voltage values is continuously stored in the table 63b, or the SOC-OCV curve between the curves is calculated by interpolation, thereby calculating the SOC.
  • the SOC can be estimated with high accuracy.
  • 21 and 22 are flowcharts showing the procedure of the SOC estimation process performed by the CPU 62.
  • the CPU 62 repeats the processing from S21 at a predetermined interval.
  • CPU62 acquires the voltage value and electric current value between the terminals of the battery 3 (S21).
  • CPU62 determines whether the absolute value of an electric current value is more than a threshold value (S22).
  • the threshold value is set in order to determine whether the state of the battery 3 is a charged state, a discharged state, or a resting state. If the CPU 62 determines that the absolute value of the current value is not equal to or greater than the threshold value (S22: NO), the process proceeds to S33.
  • the CPU 62 determines whether the current value is greater than 0 (S23). When the current value is larger than 0, the battery 3 is in a charged state. If the CPU 62 determines that the current value is not greater than 0 (S23: NO), the process proceeds to S29. When determining that the current value is larger than 0 (S23: YES), the CPU 62 determines whether or not the voltage value is larger than the previous reached voltage value (S24). If the CPU 62 determines that the voltage value is not greater than the previous voltage value (S24: NO), the process proceeds to S26.
  • the CPU 62 determines whether the voltage value is larger than the previous reached voltage value (S24: YES). If the CPU 62 determines that the voltage value is larger than the previous reached voltage value (S24: YES), the CPU 62 updates the voltage value to the reached voltage value (S25). CPU62 determines whether a voltage value is more than a lower limit voltage value (S26). If the CPU 62 determines that the voltage value is not greater than or equal to the lower limit voltage value (S26: NO), the CPU 62 estimates the SOC by current integration (S28) and ends the process.
  • the CPU 62 determines that the voltage value is equal to or higher than the lower limit voltage value (S26: YES), the CPU 62 estimates the SOC by referring to the voltage (S27), and ends the process.
  • the table 63b stores a plurality of SOC-OCV curves from the lower limit voltage to a plurality of ultimate voltages.
  • the CPU 62 selects an SOC-OCV curve corresponding to the stored reached voltage value, and reads the SOC from the current OCV in the SOC-OCV curve.
  • the CPU 62 calculates the current OCV from the voltage value and current value acquired in S21.
  • the OCV can be calculated by estimating a voltage value when the current value is zero using a regression line from a plurality of voltage value and current value data. When the current value is as small as the dark current value, the acquired voltage value can be read as OCV.
  • the CPU 62 determines whether or not the voltage value is equal to or higher than the lower limit voltage value in S29 (S29).
  • the CPU 62 determines that the voltage value is equal to or higher than the lower limit voltage value (S29: YES)
  • the CPU 62 estimates the SOC by referring to the voltage in the same manner as described above (S30).
  • the CPU 62 determines that the voltage value is not equal to or higher than the lower limit voltage value (S29: NO)
  • the CPU 62 resets the ultimate voltage value (S31).
  • the CPU 62 estimates the SOC by current integration (S32) and ends the process.
  • the CPU 62 determines whether or not the voltage value is equal to or higher than the lower limit voltage value (S33). If the CPU 62 determines that the voltage value is not greater than or equal to the lower limit voltage value (S33: NO), the process proceeds to S36. When the CPU 62 determines that the voltage value is equal to or higher than the lower limit voltage value (S33: YES), the CPU 62 determines whether or not the set time has elapsed since the last time that it was determined to be in the dormant state in S22 (S34).
  • the CPU 62 determines that the set time has not elapsed (S34: NO), the process proceeds to S36.
  • the CPU 62 estimates the SOC by current integration (S36) and ends the process.
  • the acquired voltage value can be regarded as an OCV, and the SOC is estimated by referring to the voltage in the same manner as described above (S35), and the process ends.
  • the SOC can be estimated in real time during charge / discharge.
  • the SOC is estimated based on the SOC-OCV curve and the current voltage value in the range from the lower limit voltage value to the ultimate voltage value that is substantially free of hysteresis. Therefore, the accuracy of SOC estimation is good.
  • the SOC can be estimated in both charging and discharging. Even when charging / discharging is repeated in a complicated pattern, the SOC can be estimated only from the history of the voltage value. Since the voltage value can be used, the amount of stored electricity is not limited to the SOC, and the amount of current energy stored in the battery 3 such as the amount of power can be estimated.
  • a storage amount estimation device that estimates a storage amount of a storage element that includes an active material in at least one of a positive electrode and a negative electrode that is smaller than the hysteresis, and when the one electrochemical reaction occurs more than the other electrochemical reaction And an estimation unit for estimating the storage amount based on the storage amount-voltage value characteristic.
  • the storage amount estimation device is a storage amount-voltage in the case where one electrochemical reaction occurs more (mainly) than the other electrochemical reaction in which the change in voltage value with respect to the storage amount is substantially the same between charge and discharge.
  • the amount of stored electricity is estimated based on the value characteristics. Therefore, the accuracy of estimating the amount of stored electricity is good. It is possible to satisfactorily estimate the amount of electricity stored in an electricity storage element having an active material having a high capacity and having an electricity storage amount-voltage value characteristic showing hysteresis. In both charging and discharging, the charged amount can be estimated. Even when charging / discharging is repeated in a complicated pattern, the amount of stored electricity can be estimated only from the history of voltage values.
  • the amount of electricity stored is not limited to the SOC, and the amount of current energy stored in the electricity storage element such as the amount of power can be estimated. Based on the charge / discharge curve, the dischargeable energy up to SOC 0% and the charge energy required up to SOC 100% can be predicted.
  • the power storage amount-voltage value characteristic includes a first region where the power storage amount is relatively high and a second region where the power storage amount is relatively low
  • the estimation unit includes: It is preferable that the charged amount is estimated based on a charged amount-voltage value characteristic of the first region.
  • the amount of charge is estimated based on the amount of charge-voltage value characteristic of the first region on the side where the amount of charge is relatively high, so the estimation accuracy is good.
  • the storage amount estimation device is a storage amount estimation device that estimates a storage amount of a storage element including an active material whose storage amount-voltage value characteristic exhibits hysteresis, and a plurality of lower limit voltage values at which the presence or absence of the hysteresis is substantially switched.
  • a holding unit that holds a plurality of stored charge amount-voltage value characteristics up to the ultimate voltage value
  • a voltage acquisition unit that acquires a voltage value of the storage element, and a voltage value acquired by the voltage acquisition unit sets the lower limit voltage value
  • a setting unit for setting the reached voltage value after exceeding
  • a selection unit for selecting one storage amount-voltage value characteristic based on the reaching voltage value set by the setting unit, and the one storage amount-voltage
  • An estimation unit configured to estimate a storage amount based on a value characteristic and a voltage value acquired by the voltage acquisition unit.
  • the storage amount estimation device estimates the storage amount based on the storage amount-voltage value characteristic and the acquired voltage value in the range from the lower limit voltage value to the ultimate voltage value that is substantially free of hysteresis.
  • a reaction having a large hysteresis and a reaction having substantially no hysteresis (small hysteresis) occur substantially independently. These reactions do not interfere with each other.
  • charging and discharging are performed along a unique curve between the lower limit voltage value and the ultimate voltage value. Therefore, the accuracy of estimating the amount of stored electricity is good. In both charging and discharging, the charged amount can be estimated.
  • the reached voltage value is set based on the rise and fall of the voltage value, and the storage amount-voltage value characteristic is selected. Even when charging / discharging is repeated in a complicated pattern, the amount of stored electricity can be estimated based only on the history of voltage values. Since the voltage value can be used, the amount of stored electricity is not limited to the SOC, and the amount of current energy stored in the storage element such as the amount of power can be estimated.
  • the setting unit stores the reached voltage value in a storage unit, and when the voltage value acquired by the voltage acquisition unit is greater than the reached voltage value previously stored in the storage unit, It is preferable to update the acquired voltage value to the ultimate voltage value.
  • the power storage amount estimation device can accurately estimate the power storage amount based on the acquired voltage value by selecting a power storage amount-voltage value characteristic based on a larger ultimate voltage value (updated ultimate voltage value). it can.
  • the voltage value may be an open-circuit voltage value.
  • the storage amount can be easily estimated based on the open-circuit voltage value and the storage amount-open-circuit voltage characteristic.
  • the current value at the time of energization is large, by correcting the voltage value to the open-circuit voltage value, the charged amount can be estimated by referring to the voltage even during energization.
  • the voltage value may be a voltage value when a minute current flows through the storage element.
  • the stored amount can be easily estimated from the voltage value, and the stored amount can be estimated even during charging and discharging of the storage element.
  • the storage amount is preferably SOC.
  • the storage amount estimation device can accurately estimate the state of charge of a storage element using an electrode material having hysteresis, in which OCV and SOC do not correspond one to one, without requiring a special sensor or additional parts. it can.
  • the power storage module includes a plurality of power storage elements and any one of the above-described power storage amount estimation devices.
  • a vehicle power storage module and an industrial power storage module typically have a plurality of power storage elements connected in series.
  • a plurality of power storage elements may be connected in series and in parallel.
  • the power storage module is suitably used as a power source for EVs and PHEVs, which have a particularly high demand for high capacity.
  • the storage amount estimation method is a storage amount estimation method for estimating a storage amount of a storage element including an active material whose storage amount-voltage value characteristic exhibits hysteresis, and a plurality of lower limit voltage values at which the presence or absence of the hysteresis is substantially switched.
  • a plurality of stored charge amount-voltage value characteristics up to the ultimate voltage value are set, an ultimate voltage value after the acquired voltage value exceeds the lower limit voltage value is set, and based on the set ultimate voltage value, one A storage amount-voltage value characteristic is selected, and the storage amount is estimated based on the one storage amount-voltage value characteristic and the acquired voltage value.
  • the storage amount is estimated on the basis of the storage amount-voltage value characteristic and the acquired voltage value in the range from the lower limit voltage value to the ultimate voltage value substantially free of hysteresis. Therefore, the accuracy of estimating the amount of stored electricity is good. It is possible to satisfactorily estimate the amount of electricity stored in an electricity storage element having an active material having a high capacity and having an electricity storage amount-voltage value characteristic showing hysteresis. In both charging and discharging, the charged amount can be estimated. The inflection point related to the rise and fall of the voltage value is set to the ultimate voltage value, and the charged amount-voltage value characteristic is selected.
  • the amount of stored electricity can be estimated only from the history of voltage values. Since the voltage value can be used, the amount of electricity stored is not limited to the SOC, and the amount of current energy stored in the electricity storage element such as the amount of power can be estimated.
  • the computer program obtains the voltage value of the power storage element in a computer that estimates the power storage amount of the power storage element including an active material whose power storage amount-voltage value characteristic shows hysteresis, and the acquired voltage value is substantially the presence or absence of hysteresis. It is determined whether or not the lower limit voltage value to be switched automatically is exceeded, and when it is determined that the voltage value exceeds the lower limit voltage value, an ultimate voltage value is set, and the lower limit voltage is set based on the set ultimate voltage value.
  • One charge amount-voltage value characteristic is selected by referring to a plurality of charge amount-voltage value characteristics from a value to a plurality of reached voltage values, and the one charge amount-voltage value characteristic is obtained and the acquired voltage value is selected. Based on this, the amount of stored electricity is estimated.
  • the present invention is not limited to the contents of the above-described embodiments, and various modifications can be made within the scope of the claims. That is, embodiments obtained by combining technical means appropriately changed within the scope of the claims are also included in the technical scope of the present invention.
  • the power storage amount estimation device according to the present invention is not limited to the case where it is applied to a vehicle-mounted lithium ion secondary battery, and can also be applied to other power storage modules such as a railway regenerative power storage device and a solar power generation system.
  • the voltage value between the positive electrode terminal and the negative electrode terminal of the power storage element or the voltage value between the positive electrode terminal and the negative electrode terminal of the power storage module can be regarded as OCV.
  • the power storage element is not limited to a lithium ion secondary battery, and may be another secondary battery or an electrochemical cell having hysteresis characteristics.
  • a CMU Cell Monitoring Unit
  • the power storage amount estimation device may be a part of a power storage module in which the monitoring device 100 or the like is incorporated.
  • the power storage amount estimation device may be configured separately from a power storage element and a power storage module, and may be connected to a power storage module including a power storage element whose heat storage amount is to be estimated when the heat storage amount is estimated.
  • the heat storage amount estimation device may remotely monitor the power storage element and the power storage module.

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Abstract

L'objectif de la présente invention est de fournir un dispositif d'estimation de quantité d'électricité stockée, un module de stockage d'électricité comprenant ledit dispositif d'estimation de quantité d'électricité stockée, un procédé d'estimation de quantité d'électricité stockée et un programme informatique grâce auxquels il est possible d'estimer une quantité d'électricité stockée dans un élément de stockage d'électricité comprenant un matériau actif possédant une caractéristique quantité d'électricité stockée - valeur de tension qui présente une hystérésis. L'invention concerne un dispositif d'estimation de quantité d'électricité stockée (6) estimant une quantité d'électricité stockée d'un élément de stockage d'électricité (3) contenant un matériau actif dans lequel au moins deux réactions électrochimiques se produisent en fonction d'une transition de charge et de décharge, l'hystérésis dans une caractéristique quantité d'électricité stockée - valeur de tension lorsqu'une réaction électrochimique se produit étant inférieure à l'hystérésis lorsque l'autre réaction électrochimique se produit. Le dispositif d'estimation de quantité d'électricité stockée (6) comprend une unité d'estimation (62) qui estime la quantité d'électricité stockée en fonction de la caractéristique quantité d'électricité stockée - valeur de tension si l'une des réactions électrochimiques se produit plus fréquemment que l'autre réaction électrochimique.
PCT/JP2018/013057 2017-03-29 2018-03-28 Dispositif d'estimation de quantité d'électricité stockée, module de stockage d'électricité, procédé d'estimation de quantité d'électricité stockée et programme informatique WO2018181624A1 (fr)

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US16/498,246 US20200018798A1 (en) 2017-03-29 2018-03-28 Storage amount estimation device, energy storage module, storage amount estimation method, and computer program
EP18777306.4A EP3605125B1 (fr) 2017-03-29 2018-03-28 Dispositif d'estimation de quantité d'électricité stockée, module de stockage d'électricité, procédé d'estimation de quantité d'électricité stockée et programme informatique
CN201880023160.4A CN110476073B (zh) 2017-03-29 2018-03-28 蓄电量估计装置、蓄电模块、蓄电量估计方法、和记录介质

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