WO2021186511A1 - Secondary battery control device, battery pack, and secondary battery control method - Google Patents

Secondary battery control device, battery pack, and secondary battery control method Download PDF

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WO2021186511A1
WO2021186511A1 PCT/JP2020/011541 JP2020011541W WO2021186511A1 WO 2021186511 A1 WO2021186511 A1 WO 2021186511A1 JP 2020011541 W JP2020011541 W JP 2020011541W WO 2021186511 A1 WO2021186511 A1 WO 2021186511A1
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secondary battery
point
points
horizontal axis
area
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PCT/JP2020/011541
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French (fr)
Japanese (ja)
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佑輔 久米
靖博 ▲高▼木
拳 中村
英司 遠藤
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Tdk株式会社
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    • 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
    • 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

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  • the present invention relates to a secondary battery control device, a battery pack, and a secondary battery control method.
  • the dQ / dV calculation means 21 monitors the voltage and the amount of electricity stored in the secondary battery 10.
  • the dQ / dV calculation means 21 calculates dQ / dV from the amount of change in voltage and the amount of change in storage amount per unit time.
  • the calculation of dQ / dV may be performed at the time of charging or at the time of discharging. It is preferable to calculate dQ / dV at the time of charging.
  • the area calculation means 22 calculates the area of a triangle formed by two selected maximum points and an arbitrary point on the selected horizontal axis.
  • FIG. 3 shows an example of a triangle formed when Pa and Pb are selected as two maximum points and M is selected as an arbitrary point on the horizontal axis.
  • the coordinates of the maximum point Pa on the low voltage side are (Pax, Pay)
  • the coordinates of the maximum point Pb on the high voltage side are (Pbx, Pby)
  • the coordinates of any point M on the horizontal axis are (Mx, 0).
  • the correction means 23 sends the obtained correction value to the secondary battery 10.
  • the SOH value of the secondary battery 10 is replaced with the correction value.
  • the replacement with the correction value is performed, for example, after passing through all the extreme points selected at the time of charging.
  • the replacement with the correction value is performed, for example, every time the extremum points selected at the time of charging are passed.
  • the correction may be performed when the correction value is obtained. Further, the correction may be performed by adding the difference between the possessed value (value before correction) and the correction value at the correction point after the correction value is obtained. In addition, the correction gradually corrects the value from the correction point to the correction completion point so that the value corresponding to the difference between the possession value at the correction point and the correction value is added to the possession value at the correction point at the correction completion point. You may do it.
  • the two selected maximum points and an arbitrary point on the horizontal axis satisfy 0.4 ⁇ (MPa) / (MPb) ⁇ 2.4 ... (2). Select any point on the horizontal axis.
  • MPa is the distance between the maximum point on the low voltage side and an arbitrary point on the horizontal axis
  • MPb is the distance between the maximum point on the high voltage side and an arbitrary point on the horizontal axis.
  • the positive electrode active material reversibly proceeds with the occlusion and release of lithium ions, the desorption and insertion (intercalation) of lithium ions, or the doping and dedoping of lithium ions and counter anions.
  • the positive electrode active material is, for example, lithium cobalt oxide (LCO), lithium nickel cobalt manganese composite oxide (NCM), lithium nickel cobalt aluminum composite oxide (NCA), lithium manganese oxide (LMO), lithium iron phosphate (LFP).
  • the positive electrode active material layer 2B may contain a plurality of these positive electrode active materials.
  • the positive electrode active material is not limited to these, and known materials can be used. Known conductive auxiliary materials and binders can be used.
  • the area Y obtained by the area calculation means 22 is sent to the correction means 23.
  • the correction means 23 estimates the SOH of the secondary battery 10 based on the area Y sent from the area calculation means 22.
  • the correction means corrects the SOH of the secondary battery 10 using the estimated SOH as a correction value.
  • the measured SOH and the estimated SOH were obtained.
  • the measured and estimated SOH was determined in 100 cycles, 200 cycles, and 300 cycles, respectively. The results are shown in Tables 1 and 2.
  • Example 7 In Example 7, two minimum points were selected when obtaining the correction value. Select the minimum point on the low voltage side from the voltage range of 3.45V to 3.80V, select the minimum point on the high voltage side from the voltage range of 3.80V to 4.20V, and use it as an arbitrary point on the horizontal axis. , 0V point was selected. As the minimum points, the minimum point (B1) associated with the voltage fluctuation region appearing first from the fully discharged state and the minimum point (B3) associated with the voltage fluctuation region appearing third from the fully discharged state were selected. Other conditions were the same as in Example 1, and the measured and estimated SOH was obtained in each of 100 cycles, 200 cycles, and 300 cycles. The results are shown in Tables 1 and 2.

Abstract

In this secondary battery control device, a degree of deterioration SOH of the secondary battery is corrected to (1): SOH=AX+B when: X is the surface area of a triangle formed by two of a plurality of maximum points which appear on a curve V-dQ/dV, or two points which are mathematically equivalent to the two maximum points; and an arbitrary point on the horizontal axis, and A and B are constants which are calculated in advance from a relationship between the surface area of a calibration sample and a degree of deterioration of the calibration sample. A battery pack comprising this secondary battery control device exhibits excellent safety, and contributes to the stable supply of energy and sustainable development objectives.

Description

二次電池の制御装置、電池パックおよび二次電池の制御方法Secondary battery control device, battery pack and secondary battery control method
 本発明は、二次電池の制御装置、電池パックおよび二次電池の制御方法に関する。 The present invention relates to a secondary battery control device, a battery pack, and a secondary battery control method.
 二次電池の状態の指標としてSOC(State of Charge)やSOH(State of Health)が知られている。SOCは、二次電池の残容量を示す指標であり、SOHは電池の劣化状態を示す指標である。SOCは、満充電容量に対する残容量の割合である。SOHは、初期の満充電から満放電までの容量に対する劣化時の満充電から満放電までの放電容量の割合である。 SOC (State of Charge) and SOH (State of Health) are known as indicators of the state of the secondary battery. SOC is an index showing the remaining capacity of the secondary battery, and SOH is an index showing the deterioration state of the battery. SOC is the ratio of the remaining capacity to the fully charged capacity. SOH is the ratio of the discharge capacity from full charge to full discharge at the time of deterioration to the capacity from initial full charge to full discharge.
 例えば、特許文献1には、二次電池の充電時に、電圧の変化量に対する蓄電量の変化量の割合であるdQ/dVと二次電池の電圧Vから得られるV-dQ/dV曲線の極大点の電圧値から容量低下率(SOHに対応する)を推定する方法が記載されている。 For example, Patent Document 1 describes the maximum of the V-dQ / dV curve obtained from dQ / dV, which is the ratio of the amount of change in the amount of stored electricity to the amount of change in the voltage, and the voltage V of the secondary battery when the secondary battery is charged. A method of estimating the capacity reduction rate (corresponding to SOH) from the voltage value of the point is described.
 例えば、特許文献2には、二次電池の放電時に、dQ/dVを求め、電圧に対するdQ/dVの変化量の最大値からSOHを求める方法が記載されている。 For example, Patent Document 2 describes a method of obtaining dQ / dV when the secondary battery is discharged and obtaining SOH from the maximum value of the amount of change in dQ / dV with respect to voltage.
特開2013-19709号公報Japanese Unexamined Patent Publication No. 2013-19709 特開2016-9659号公報Japanese Unexamined Patent Publication No. 2016-9569
 二次電池が充放電サイクルを繰り返すと、実際のSOHの値から推定されるSOHの値がずれる場合がある。特許文献1及び2に記載の方法では、実際のSOHの値と推定されるSOHの値との誤差を十分小さくすることができない。 When the secondary battery repeats the charge / discharge cycle, the SOH value estimated from the actual SOH value may deviate. With the methods described in Patent Documents 1 and 2, the error between the actual SOH value and the estimated SOH value cannot be sufficiently reduced.
 本開示は上記問題に鑑みてなされたものであり、二次電池の劣化状態を適正値に補正できる、二次電池の制御装置、電池パックおよび二次電池の制御方法を提供することを目的とする。 The present disclosure has been made in view of the above problems, and an object of the present disclosure is to provide a control device for a secondary battery, a battery pack, and a control method for the secondary battery, which can correct the deteriorated state of the secondary battery to an appropriate value. do.
 上記課題を解決するため、以下の手段を提供する。 To solve the above problems, the following means will be provided.
(1)第1の態様にかかる二次電池の制御装置は、二次電池の電圧の変化量に対する蓄電量の変化量の割合であるdQ/dVを縦軸とし、前記二次電池の電圧を横軸としたV-dQ/dV曲線に表れる複数の極値点のうちの二つの極大点又はこれと数学的に等価な点と、前記横軸上の任意の点とによって形成される三角形の面積をXとし、
 校正サンプルにおける前記面積と前記校正サンプルの劣化度合いとの関係から予め求められる定数をA、Bとした際に、前記二次電池の劣化度合いSOHを、SOH=AX+B ・・・(1)に補正する。
(1) In the secondary battery control device according to the first aspect, the vertical axis is dQ / dV, which is the ratio of the amount of change in the amount of stored electricity to the amount of change in the voltage of the secondary battery, and the voltage of the secondary battery is defined as the vertical axis. A triangle formed by two maximal points of a plurality of extremum points appearing on a V-dQ / dV curve on the horizontal axis or points mathematically equivalent to them and arbitrary points on the horizontal axis. Let X be the area
When the constants obtained in advance from the relationship between the area of the calibration sample and the deterioration degree of the calibration sample are A and B, the deterioration degree SOH of the secondary battery is corrected to SOH = AX + B ... (1). do.
(2)上記態様にかかる二次電池の制御装置において、前記二つの極大点と前記横軸上の任意の点とが、0.4≦(MPa)/(MPb)≦2.4 ・・・(2)を満たしてもよく、式(2)中、MPaは低電圧側の前記極大点と前記横軸上の任意の点との距離であり、MPbは高電圧側の前記極大点と前記横軸上の任意の点との距離である。 (2) In the secondary battery control device according to the above aspect, the two maximum points and an arbitrary point on the horizontal axis are 0.4 ≦ (MPa) / (MPb) ≦ 2.4. (2) may be satisfied, and in the formula (2), MPa is the distance between the maximum point on the low voltage side and an arbitrary point on the horizontal axis, and MPb is the maximum point on the high voltage side and the above. The distance to any point on the horizontal axis.
(3)上記態様にかかる二次電池の制御装置において、低電圧側の前記極大点が、3.55V以上、3.85V以下の電圧範囲に現れる極大点でもよい。 (3) In the secondary battery control device according to the above aspect, the maximum point on the low voltage side may be a maximum point appearing in a voltage range of 3.55 V or more and 3.85 V or less.
(4)上記態様にかかる二次電池の制御装置において、高電圧側の前記極大点が、3.95V以上、4.20V以下の電圧範囲に現れる極大点でもよい。 (4) In the control device for the secondary battery according to the above aspect, the maximum point on the high voltage side may be a maximum point appearing in a voltage range of 3.95 V or more and 4.20 V or less.
(5)上記態様にかかる二次電池の制御装置は、前記dQ/dVを算出するdQ/dV算出手段と、前記V-dQ/dV曲線に表れる複数の極値点のうち、前記二つの極大点を選択し、前記横軸上で前記任意の点を選択し、選択された前記二つの極大点と前記横軸上の任意の点とによって形成される三角形の面積を算出する面積算出手段と、前記面積に基づいて、前記二次電池の劣化度合いを補正値に補正する補正手段と、を有してもよい。 (5) The secondary battery control device according to the above aspect includes the dQ / dV calculating means for calculating the dQ / dV and the two maximums among the plurality of extreme points appearing on the V−dQ / dV curve. An area calculation means for selecting a point, selecting the arbitrary point on the horizontal axis, and calculating the area of a triangle formed by the two selected maximum points and an arbitrary point on the horizontal axis. , A correction means for correcting the degree of deterioration of the secondary battery to a correction value based on the area.
(6)第2の態様にかかる電池パックは、二次電池と上記態様にかかる二次電池の制御装置とを備える。 (6) The battery pack according to the second aspect includes a secondary battery and a control device for the secondary battery according to the above aspect.
(7)上記態様にかかる電池パックにおいて、前記二次電池は、正極に活物質として、リチウムニッケルコバルトマンガン複合酸化物(NCM)及びリチウムマンガン酸化物(LMO)を含んでもよい。 (7) In the battery pack according to the above aspect, the secondary battery may contain lithium nickel cobalt manganese composite oxide (NCM) and lithium manganese oxide (LMO) as active materials in the positive electrode.
(8)第3の態様にかかる二次電池の制御方法は、二次電池の電圧の変化量に対する蓄電量の変化量の割合であるdQ/dVを縦軸とし、前記二次電池の電圧を横軸としたV-dQ/dV曲線に表れる複数の極値点のうちの二つの極大点又はこれと数学的に等価な点と、前記横軸上の任意の点とによって形成される三角形の面積をXとし、校正サンプルにおける前記面積と前記校正サンプルの劣化度合いとの関係から予め求められる定数をA、Bとした際に、前記二次電池の劣化度合いSOHを、SOH=AX+B ・・・(1)に補正する。 (8) In the method for controlling a secondary battery according to the third aspect, the vertical axis is dQ / dV, which is the ratio of the amount of change in the amount of stored electricity to the amount of change in the voltage of the secondary battery, and the voltage of the secondary battery is used. A triangular shape formed by two maximum points of a plurality of extreme points appearing on a V-dQ / dV curve on the horizontal axis or points mathematically equivalent to the maximum points and arbitrary points on the horizontal axis. When the area is X and the constants obtained in advance from the relationship between the area in the calibration sample and the deterioration degree of the calibration sample are A and B, the deterioration degree SOH of the secondary battery is SOH = AX + B ... Correct to (1).
(9)第4の態様にかかる二次電池の制御装置は、二次電池の電圧の変化量に対する蓄電量の変化量の割合であるdQ/dVを縦軸とし、前記二次電池の電圧を横軸としたV-dQ/dV曲線に表れる複数の極値点のうちの二つの極小点又はこれと数学的に等価な点と、前記横軸上の任意の点とによって形成される三角形の面積をYとし、
 校正サンプルにおける前記面積と前記校正サンプルの劣化度合いとの関係から予め求められる定数をC、Dとした際に、前記二次電池の劣化度合いSOHを、SOH=CY+D ・・・(3)に補正する。
(9) In the secondary battery control device according to the fourth aspect, the vertical axis is dQ / dV, which is the ratio of the amount of change in the amount of stored electricity to the amount of change in the voltage of the secondary battery, and the voltage of the secondary battery is defined as the vertical axis. A triangular shape formed by two minimum points of a plurality of extreme points appearing on a V-dQ / dV curve on the horizontal axis or points mathematically equivalent to them and arbitrary points on the horizontal axis. Let the area be Y
When the constants obtained in advance from the relationship between the area of the calibration sample and the deterioration degree of the calibration sample are C and D, the deterioration degree SOH of the secondary battery is corrected to SOH = CY + D ... (3). do.
(10)上記態様にかかる二次電池の制御装置において、前記二つの極小点と前記横軸上の任意の点とが、0.7≦(NBa)/(NBb)≦1.3 ・・・(4)を満たしてもよく、式(4)中、NBaは低電圧側の前記極小点と前記横軸上の任意の点との距離であり、NBbは高電圧側の前記極小点と前記横軸上の任意の点との距離である。 (10) In the secondary battery control device according to the above aspect, the two minimum points and an arbitrary point on the horizontal axis are 0.7 ≦ (NBa) / (NBb) ≦ 1.3. (4) may be satisfied, and in the formula (4), NBa is the distance between the minimum point on the low voltage side and an arbitrary point on the horizontal axis, and NBb is the minimum point on the high voltage side and the above. The distance to any point on the horizontal axis.
(11)上記態様にかかる二次電池の制御装置において、低電圧側の前記極小点が、3.40V以上、3.80V以下の電圧範囲に現れる極小点でもよい。 (11) In the secondary battery control device according to the above aspect, the minimum point on the low voltage side may be a minimum point that appears in a voltage range of 3.40 V or more and 3.80 V or less.
(12)上記態様にかかる二次電池の制御装置において、高電圧側の前記極小点が、3.65V以上、4.00V以下の電圧範囲に現れる極小点でもよい。 (12) In the control device for the secondary battery according to the above aspect, the minimum point on the high voltage side may be a minimum point that appears in a voltage range of 3.65 V or more and 4.00 V or less.
(13)上記態様にかかる二次電池の制御装置は、前記dQ/dVを算出するdQ/dV算出手段と、前記V-dQ/dV曲線に表れる複数の極値点のうち、前記二つの極小点を選択し、前記横軸上で任意の点を選択し、選択された前記二つの極小点と前記横軸上の任意の点とによって形成される三角形の面積を算出する面積算出手段と、前記面積に基づいて、前記二次電池の劣化度合いを補正値に補正する補正手段と、を有してもよい。 (13) The control device for the secondary battery according to the above aspect is the dQ / dV calculating means for calculating the dQ / dV and the two minimums among the plurality of extreme value points appearing on the V−dQ / dV curve. An area calculation means for selecting a point, selecting an arbitrary point on the horizontal axis, and calculating the area of a triangle formed by the two selected minimum points and an arbitrary point on the horizontal axis. A correction means for correcting the degree of deterioration of the secondary battery to a correction value based on the area may be provided.
(14)第5の態様にかかる電池パックは、二次電池と上記態様にかかる二次電池の制御装置とを備える。 (14) The battery pack according to the fifth aspect includes a secondary battery and a control device for the secondary battery according to the above aspect.
(15)上記態様にかかる電池パックにおいて、前記二次電池は、正極に活物質として、リチウムニッケルコバルトマンガン複合酸化物(NCM)及びリチウムマンガン酸化物(LMO)を含んでもよい。 (15) In the battery pack according to the above aspect, the secondary battery may contain lithium nickel cobalt manganese composite oxide (NCM) and lithium manganese oxide (LMO) as active materials in the positive electrode.
(16)第6の態様にかかる二次電池の制御方法は、二次電池の電圧の変化量に対する蓄電量の変化量の割合であるdQ/dVを縦軸とし、前記二次電池の電圧を横軸としたV-dQ/dV曲線に表れる複数の極値点のうちの二つの極小点又はこれと数学的に等価な点と、前記横軸上の任意の点とによって形成される三角形の面積をYとし、校正サンプルにおける前記面積と前記校正サンプルの劣化度合いとの関係から予め求められる定数をC、Dとした際に、前記二次電池の劣化度合いSOHを、SOH=CY+D ・・・(3)に補正する。 (16) In the method for controlling a secondary battery according to the sixth aspect, the vertical axis is dQ / dV, which is the ratio of the amount of change in the amount of stored electricity to the amount of change in the voltage of the secondary battery, and the voltage of the secondary battery is set. A triangular shape formed by two minimum points of a plurality of extreme points appearing on a V-dQ / dV curve on the horizontal axis or points mathematically equivalent to them and arbitrary points on the horizontal axis. When the area is Y and the constants obtained in advance from the relationship between the area in the calibration sample and the deterioration degree of the calibration sample are C and D, the deterioration degree SOH of the secondary battery is SOH = CY + D ... Correct to (3).
 上記態様に係る二次電池の制御装置、電池パックおよび二次電池の制御方法は、二次電池の劣化状態を適正値に補正できる。
 また上記態様に係る二次電池の制御装置、電池パックおよび二次電池の制御方法は、二次電池の安全性を高め、エネルギーの安定供給に寄与し、持続可能な開発目標に貢献する。
The secondary battery control device, the battery pack, and the secondary battery control method according to the above aspect can correct the deteriorated state of the secondary battery to an appropriate value.
Further, the secondary battery control device, the battery pack, and the secondary battery control method according to the above aspect enhance the safety of the secondary battery, contribute to the stable supply of energy, and contribute to the sustainable development goal.
第1実施形態にかかる電池パックのブロック図である。It is a block diagram of the battery pack which concerns on 1st Embodiment. 二次電池のV-dQ/dV曲線の一例である。This is an example of the V-dQ / dV curve of the secondary battery. 二つの極大点(Pa及びPb)と横軸上の任意の点(M)とによって形成される三角形の一例である。This is an example of a triangle formed by two maximum points (Pa and Pb) and an arbitrary point (M) on the horizontal axis. 校正サンプルの充放電サイクルを繰り返すことに伴い変化するV-dQ/dV曲線である。It is a V-dQ / dV curve which changes as the charge / discharge cycle of a calibration sample is repeated. 校正サンプルの劣化度合いと所定の面積との関係を示す図である。It is a figure which shows the relationship between the degree of deterioration of a calibration sample, and a predetermined area. 第1実施形態にかかる二次電池の断面図である。It is sectional drawing of the secondary battery which concerns on 1st Embodiment. 二つの極小点(Ba及びBb)と横軸上の任意の点(N)とによって形成される三角形の一例である。This is an example of a triangle formed by two minimum points (Ba and Bb) and an arbitrary point (N) on the horizontal axis.
 以下、実施形態について、図を適宜参照しながら詳細に説明する。以下の説明で用いる図面は、特徴をわかりやすくするために便宜上特徴となる部分を拡大して示している場合があり、各構成要素の寸法比率等は実際とは異なっていることがある。以下の説明において例示される材料、寸法等は一例であって、本発明はそれらに限定されるものではなく、その要旨を変更しない範囲で適宜変更して実施することが可能である。 Hereinafter, the embodiment will be described in detail with reference to the figures as appropriate. In the drawings used in the following description, the featured portion may be enlarged for convenience in order to make the feature easy to understand, and the dimensional ratio of each component may be different from the actual one. The materials, dimensions, etc. exemplified in the following description are examples, and the present invention is not limited thereto, and the present invention can be appropriately modified without changing the gist thereof.
「電池パック」
 図1は、第1実施形態にかかる電池パック100のブロック図である。電池パック100は、二次電池10と制御装置20とを備える。二次電池10と制御装置20との間では信号の通信が行われる。信号の通信は、有線でも無線でもよい。
"Battery pack"
FIG. 1 is a block diagram of the battery pack 100 according to the first embodiment. The battery pack 100 includes a secondary battery 10 and a control device 20. Signal communication is performed between the secondary battery 10 and the control device 20. The signal communication may be wired or wireless.
 二次電池10は、例えば、リチウム二次電池である。二次電池10の具体的な構成は後述する。二次電池10は、使用に伴い劣化する。二次電池10の劣化の指標がSOHである。SOHは、「劣化時の満充電から満放電までの容量(Ah)/初期の満充電から満放電までの容量(Ah)×100」で表される。SOHを適切に評価することは、電池の寿命延長に繋がる。 The secondary battery 10 is, for example, a lithium secondary battery. The specific configuration of the secondary battery 10 will be described later. The secondary battery 10 deteriorates with use. The index of deterioration of the secondary battery 10 is SOH. SOH is represented by "capacity from full charge to full discharge at the time of deterioration (Ah) / capacity from initial full charge to full discharge (Ah) x 100". Appropriate evaluation of SOH leads to extension of battery life.
 制御装置20は、二次電池10を制御する制御装置(コントローラー)である。制御装置20は、例えば、マイコンである。 The control device 20 is a control device (controller) that controls the secondary battery 10. The control device 20 is, for example, a microcomputer.
 制御装置20は、例えば、二次電池10の劣化度合いをSOH=AX+B ・・・(1)に補正する制御プログラムを有する。以下、制御装置20の具体的な例を用いて、制御装置20について説明する。 The control device 20 has, for example, a control program that corrects the degree of deterioration of the secondary battery 10 to SOH = AX + B ... (1). Hereinafter, the control device 20 will be described with reference to a specific example of the control device 20.
 制御装置20は、例えば、dQ/dV算出手段21と面積算出手段22と補正手段23とを有する。dQ/dV算出手段21、面積算出手段22、補正手段23は、例えば、制御装置20に格納されたプログラムである。 The control device 20 includes, for example, a dQ / dV calculation means 21, an area calculation means 22, and a correction means 23. The dQ / dV calculation means 21, the area calculation means 22, and the correction means 23 are, for example, programs stored in the control device 20.
 dQ/dV算出手段21は、二次電池10の電圧及び蓄電量をモニターする。dQ/dV算出手段21は、単位時間当たりの電圧の変化量と蓄電量の変化量からdQ/dVを算出する。dQ/dVの算出は充電時に行っても、放電時に行ってもよい。dQ/dVの算出は充電時に行うことが好ましい。 The dQ / dV calculation means 21 monitors the voltage and the amount of electricity stored in the secondary battery 10. The dQ / dV calculation means 21 calculates dQ / dV from the amount of change in voltage and the amount of change in storage amount per unit time. The calculation of dQ / dV may be performed at the time of charging or at the time of discharging. It is preferable to calculate dQ / dV at the time of charging.
 dQ/dV算出手段21は、算出されたdQ/dVを基に、V-dQ/dV曲線を描く。V-dQ/dV曲線は、充放電試験によって測定した容量を電圧で微分することで得られる。図2は、V-dQ/dV曲線の一例である。V-dQ/dV曲線は、横軸が二次電池の電圧であり、縦軸がdQ/dVである。 The dQ / dV calculation means 21 draws a V−dQ / dV curve based on the calculated dQ / dV. The V-dQ / dV curve is obtained by differentiating the capacitance measured by the charge / discharge test with a voltage. FIG. 2 is an example of a V-dQ / dV curve. In the V−dQ / dV curve, the horizontal axis is the voltage of the secondary battery and the vertical axis is dQ / dV.
 図2に示すように、V-dQ/dV曲線は、複数の極値点を有する。極値点は、極大点と極小点とがある。V-dQ/dV曲線における極大点は、横軸を蓄電量とし縦軸を電圧とした充放電曲線(Q-V曲線)において電位が平坦な部分に対応する。V-dQ/dV曲線における極小点は、充放電曲線において電位の変動が大きい部分に対応する。 As shown in FIG. 2, the V-dQ / dV curve has a plurality of extremum points. The extremum point has a maximum point and a minimum point. The maximum point in the VdQ / dV curve corresponds to a portion where the potential is flat in the charge / discharge curve (QV curve) in which the horizontal axis is the amount of electricity stored and the vertical axis is the voltage. The minimum point on the V-dQ / dV curve corresponds to the portion of the charge / discharge curve where the potential fluctuation is large.
 dQ/dV算出手段21で求められたV-dQ/dV曲線のデータは、面積算出手段22へ送られる。 The V−dQ / dV curve data obtained by the dQ / dV calculation means 21 is sent to the area calculation means 22.
 第1実施形態において、面積算出手段22は、V-dQ/dV曲線に表れる複数の極値点のうちの二つの極大点と横軸上の任意の点とを選択し、選択された二つの極大点と横軸上の任意の点とによって形成される三角形の面積を算出する。 In the first embodiment, the area calculation means 22 selects two maximum points out of a plurality of extreme value points appearing on the V−dQ / dV curve and an arbitrary point on the horizontal axis, and two selected points. Calculate the area of the triangle formed by the maximum point and any point on the horizontal axis.
 面積算出手段22における極大点の選択は任意である。面積算出手段22は、二つの極大点を選択する。面積算出手段22において選択された二つの極大点は隣接していてもよいし、選択された二つの極大点の間に別の極大点が存在してもよい。 The selection of the maximum point in the area calculation means 22 is arbitrary. The area calculation means 22 selects two maximum points. The two maximum points selected by the area calculation means 22 may be adjacent to each other, or another maximum point may exist between the two selected maximum points.
 例えば、面積算出手段22は、選択される二つの極大点のうちの低電圧側の極大点として、3.55V以上、3.85V以下の電圧範囲に表れる極大点を選択してもよい。例えば、当該電圧範囲内に複数の極大点がある場合は、最も大きなメインの極値点を選択する。図2における極大点P2はこの電圧範囲内にある。極大点P2は、二次電池の初期の充放電試験において、満放電状態から2番目に表れる電圧安定領域に伴う極値点である。換言すると、低電圧側の極大点として、二次電池の初期の充放電試験において満放電状態から2番目に表れる極大点を選択することができる。ここで初期とは、10回以内の充放電サイクルを示す。極大点P2は、例えば、負極のグラファイトのステージ構造において、ステージ2Lとステージ2との共存状態に基づく電圧安定領域に伴う極値点である。 For example, the area calculation means 22 may select a maximum point appearing in a voltage range of 3.55 V or more and 3.85 V or less as the maximum point on the low voltage side of the two selected maximum points. For example, if there are multiple maxima within the voltage range, the largest main extremum is selected. The maximum point P2 in FIG. 2 is within this voltage range. The maximum point P2 is an extreme value point associated with the voltage stable region that appears second from the fully discharged state in the initial charge / discharge test of the secondary battery. In other words, as the maximum point on the low voltage side, the maximum point that appears second from the fully discharged state in the initial charge / discharge test of the secondary battery can be selected. Here, the initial term means a charge / discharge cycle within 10 times. The maximum point P2 is, for example, an extreme value point associated with a voltage stable region based on the coexistence state of the stage 2L and the stage 2 in the graphite stage structure of the negative electrode.
 例えば、面積算出手段22は、選択される二つの極大点のうちの高電圧側の極大点として、3.95V以上、4.20V以下の電圧範囲に表れる極大点を選択してもよい。例えば、当該電圧範囲内に複数の極大点がある場合は、最も大きなメインの極値点を選択する。図2における極大点P4はこの電圧範囲内にある。極大点P4は、二次電池の初期の充放電試験において、満放電状態から4番目に表れる電圧安定領域に伴う極値点である。換言すると、高電圧側の極大点として、二次電池の初期の充放電試験において満放電状態から4番目に表れる極大点を選択することができる。極大点P4は、例えば、二次電池10の正極活物質に含まれるリチウムマンガン酸化物の二つの立方晶の二相共存反応に基づく電圧安定領域に伴う極値点である。 For example, the area calculation means 22 may select a maximum point appearing in a voltage range of 3.95 V or more and 4.20 V or less as the maximum point on the high voltage side of the two selected maximum points. For example, if there are multiple maxima within the voltage range, the largest main extremum is selected. The maximum point P4 in FIG. 2 is within this voltage range. The maximum point P4 is the extreme value point associated with the voltage stable region that appears fourth from the fully discharged state in the initial charge / discharge test of the secondary battery. In other words, as the maximum point on the high voltage side, the maximum point that appears fourth from the fully discharged state in the initial charge / discharge test of the secondary battery can be selected. The maximum point P4 is, for example, an extreme value point associated with a voltage stable region based on a two-phase coexistence reaction of two cubic crystals of lithium manganese oxide contained in the positive electrode active material of the secondary battery 10.
 面積算出手段22は、選択された二つの極大点と、選択された横軸上の任意の点とによって形成される三角形の面積を算出する。図3は、二つの極大点としてPa及びPbを選択し、横軸上の任意の点としてMを選択した場合に形成される三角形の一例を示す。低電圧側の極大点Paの座標を(Pax、Pay)とし、高電圧側の極大点Pbの座標を(Pbx、Pby)とし、横軸上の任意の点Mの座標を(Mx、0)とすると、三角形の面積Xは以下の式によって求めることができる。
 X=|(Pax―Mx)Pby―(Pbx―Mx)Pay|×0.5
The area calculation means 22 calculates the area of a triangle formed by two selected maximum points and an arbitrary point on the selected horizontal axis. FIG. 3 shows an example of a triangle formed when Pa and Pb are selected as two maximum points and M is selected as an arbitrary point on the horizontal axis. The coordinates of the maximum point Pa on the low voltage side are (Pax, Pay), the coordinates of the maximum point Pb on the high voltage side are (Pbx, Pby), and the coordinates of any point M on the horizontal axis are (Mx, 0). Then, the area X of the triangle can be obtained by the following formula.
X = | (Pax-Mx) Pby- (Pbx-Mx) Pay | × 0.5
 面積算出手段22で求められた面積Xは、補正手段23へ送られる。補正手段23は、面積算出手段22から送られた面積Xに基づいて、二次電池10のSOHを推定する。補正手段は、推定されたSOHを補正値として、二次電池10のSOHを補正する。 The area X obtained by the area calculation means 22 is sent to the correction means 23. The correction means 23 estimates the SOH of the secondary battery 10 based on the area X sent from the area calculation means 22. The correction means corrects the SOH of the secondary battery 10 using the estimated SOH as a correction value.
 補正値は、以下の式(1)を満たす。
 SOH=AX+B ・・・(1)
 式(1)において、SOHは二次電池の推定される劣化度合いであり、補正値である。式(1)において、Xは面積算出手段22で算出された面積である。式(1)において、A、Bは、定数である。
The correction value satisfies the following equation (1).
SOH = AX + B ... (1)
In the formula (1), SOH is an estimated degree of deterioration of the secondary battery and is a correction value. In the formula (1), X is the area calculated by the area calculation means 22. In equation (1), A and B are constants.
 A、Bの定数は校正サンプルにおける面積と校正サンプルの劣化度合いとの関係から予め求められる。A、Bの定数は、面積算出手段22で選択された極値点の組み合わせによって異なる。A、Bの定数は、校正サンプルによって事前に求められ、補正手段23に予め記憶されている。 The constants A and B are obtained in advance from the relationship between the area of the calibration sample and the degree of deterioration of the calibration sample. The constants A and B differ depending on the combination of extreme points selected by the area calculation means 22. The constants A and B are obtained in advance by the calibration sample and are stored in the correction means 23 in advance.
 ここで、A、Bの定数の求め方について説明する。まず校正サンプルを準備する。校正サンプルは、実際に使用される二次電池10と同じ材料、同じ容量で作製する。同じ材料及び同じ容量で作製された校正サンプルの劣化挙動は、実際に使用される二次電池10の劣化挙動と近似する。 Here, how to obtain the constants of A and B will be explained. First, prepare a calibration sample. The calibration sample is prepared with the same material and the same capacity as the actually used secondary battery 10. The deterioration behavior of the calibration sample prepared with the same material and the same capacity is similar to the deterioration behavior of the secondary battery 10 actually used.
 次いで、校正サンプルの充放電試験を行い、V-dQ/dV曲線を得る。図4は、校正サンプルの充放電サイクルを繰り返すことに伴い変化するV-dQ/dV曲線を示す。図4に示すように、充放電サイクルを繰り返すと校正サンプルは劣化し、極値点におけるdQ/dV値が変化する。 Next, a charge / discharge test of the calibration sample is performed to obtain a V-dQ / dV curve. FIG. 4 shows a V-dQ / dV curve that changes as the charge / discharge cycle of the calibration sample is repeated. As shown in FIG. 4, when the charge / discharge cycle is repeated, the calibration sample deteriorates and the dQ / dV value at the extreme point changes.
 次いで、校正サンプルのV-dQ/dV曲線における二つの極大点と横軸上の任意の点とを選択し、これらによって形成される三角形の面積を求める。校正サンプルについての三角形の面積を求めるために選択した二つの極大点及び横軸上の任意の点は、実際に使用される二次電池10についての三角形の面積を求めるために選択される二つの極大点及び横軸上の任意の点と同じ点である。換言すると、実際に使用される二次電池10についての三角形の面積を求めるために選択される二つの極大点及び横軸上の任意の点として、校正サンプルについての三角形の面積を求めるために選択した二つの極大点及び横軸上の点が選択される。 Next, select two maximum points and arbitrary points on the horizontal axis in the V-dQ / dV curve of the calibration sample, and obtain the area of the triangle formed by these points. The two maximum points selected to determine the area of the triangle for the calibration sample and any point on the horizontal axis are the two selected to determine the area of the triangle for the secondary battery 10 actually used. It is the same point as the maximum point and any point on the horizontal axis. In other words, two maximas selected to determine the area of the triangle for the rechargeable battery 10 actually used and any point on the horizontal axis selected to determine the area of the triangle for the calibration sample. The two maximum points and the points on the horizontal axis are selected.
 三角形の面積は、充放電サイクルを所定回数行うごとに求める。また三角形の面積を求めた時点における校正サンプルの劣化度合い(SOH)も求める。校正サンプルの劣化度合い(SOH)は、当該サイクル回数において満充電から満放電までの容量(Ah)を初期の満充電から満放電までの容量(Ah)で割ることで求められる。図5は、校正サンプルの劣化度合いと三角形の面積との関係を示す。 The area of the triangle is calculated every time the charge / discharge cycle is performed a predetermined number of times. In addition, the degree of deterioration (SOH) of the calibration sample at the time when the area of the triangle is obtained is also obtained. The degree of deterioration (SOH) of the calibration sample is obtained by dividing the capacity from full charge to full discharge (Ah) by the capacity from initial full charge to full discharge (Ah) in the number of cycles. FIG. 5 shows the relationship between the degree of deterioration of the calibration sample and the area of the triangle.
 図5に示すように、校正サンプルの劣化度合いと三角形の面積との間には、相関がある。例えば、校正サンプルの劣化度合いと三角形の面積との関係は、線形相関である。図5に示すプロットの回帰直線を引く。回帰直線の傾きが定数Aであり、回帰直線の切片が定数Bである。 As shown in FIG. 5, there is a correlation between the degree of deterioration of the calibration sample and the area of the triangle. For example, the relationship between the degree of deterioration of the calibration sample and the area of the triangle is a linear correlation. Draw a regression line for the plot shown in FIG. The slope of the regression line is the constant A, and the intercept of the regression line is the constant B.
 補正手段23は、求められた補正値を二次電池10に送る。二次電池10のSOHの値は補正値に置き換えられる。補正値への置き換えは、例えば、充電時に選択した極値点をすべて通過した後に行う。補正値への置き換えは、例えば、充電時に選択した極値点をすべて通過する毎に行う。当該補正は、補正値が得られた時点で行ってもよい。また当該補正は、補正値が得られた後に、補正点での保有値(補正前の値)と補正値との差分を加えて行ってもよい。また当該補正は、補正完了点において、補正点での保有値に対して補正点での保有値と補正値との差分にあたる値が加わるように、補正点から補正完了点まで徐々に値を補正していってもよい。 The correction means 23 sends the obtained correction value to the secondary battery 10. The SOH value of the secondary battery 10 is replaced with the correction value. The replacement with the correction value is performed, for example, after passing through all the extreme points selected at the time of charging. The replacement with the correction value is performed, for example, every time the extremum points selected at the time of charging are passed. The correction may be performed when the correction value is obtained. Further, the correction may be performed by adding the difference between the possessed value (value before correction) and the correction value at the correction point after the correction value is obtained. In addition, the correction gradually corrects the value from the correction point to the correction completion point so that the value corresponding to the difference between the possession value at the correction point and the correction value is added to the possession value at the correction point at the correction completion point. You may do it.
 SOHを補正値に置き換えると、例えば、連続的に変化するSOHの値が不連続に変化する。読みだされるSOHの値が不連続に変化したということは、補正が行われたと推定できる。また補正された時点における補正値が、上記関係式(1)を満たす場合、第1実施形態にかかる二次電池の制御方法が行われたと推定できる。 When SOH is replaced with a correction value, for example, the continuously changing SOH value changes discontinuously. The fact that the SOH value read out changed discontinuously can be presumed to have been corrected. Further, when the correction value at the time of correction satisfies the above relational expression (1), it can be estimated that the method for controlling the secondary battery according to the first embodiment has been performed.
 例えば、面積算出手段22は、選択された二つの極大点と横軸上の任意の点とが、0.4≦(MPa)/(MPb)≦2.4 ・・・(2)を満たすように横軸上の任意の点を選択する。式(2)中、MPaは低電圧側の極大点と横軸上の任意の点との距離であり、MPbは高電圧側の極大点と横軸上の任意の点との距離である。 For example, in the area calculation means 22, the two selected maximum points and an arbitrary point on the horizontal axis satisfy 0.4 ≦ (MPa) / (MPb) ≦ 2.4 ... (2). Select any point on the horizontal axis. In the equation (2), MPa is the distance between the maximum point on the low voltage side and an arbitrary point on the horizontal axis, and MPb is the distance between the maximum point on the high voltage side and an arbitrary point on the horizontal axis.
 図6は、第1実施形態にかかる二次電池の模式図である。二次電池10は、例えば、発電素子4と外装体5と電解液(図示略)とを備える。外装体5は、発電素子4の周囲を被覆する。外装体5は、例えば、金属箔5Aを高分子膜(樹脂層5B)で両側からコーティングした金属ラミネートフィルムである。発電素子4は、接続された一対の端子6によって外部と接続される。電解液は、外装体5内に収容され、発電素子4内に含浸している。 FIG. 6 is a schematic diagram of the secondary battery according to the first embodiment. The secondary battery 10 includes, for example, a power generation element 4, an exterior body 5, and an electrolytic solution (not shown). The exterior body 5 covers the periphery of the power generation element 4. The exterior body 5 is, for example, a metal laminate film in which a metal foil 5A is coated with a polymer film (resin layer 5B) from both sides. The power generation element 4 is connected to the outside by a pair of connected terminals 6. The electrolytic solution is housed in the exterior body 5 and impregnated in the power generation element 4.
 発電素子4は、正極2と負極3とセパレータ1とを備える。セパレータ1は、正極2と負極3とに挟まれる。セパレータ1は、例えば、電気絶縁性の多孔質構造を有するフィルムである。セパレータ1は、公知のものを用いることができる。 The power generation element 4 includes a positive electrode 2, a negative electrode 3, and a separator 1. The separator 1 is sandwiched between the positive electrode 2 and the negative electrode 3. The separator 1 is, for example, a film having an electrically insulating porous structure. A known separator 1 can be used.
 正極2は、正極集電体2Aと正極活物質層2Bとを有する。正極活物質層2Bは、正極集電体2Aの少なくとも一面に形成されている。正極活物質層2Bは、正極集電体2Aの両面に形成されていてもよい。正極集電体2Aは、例えば、導電性の板材である。正極活物質層2Bは、例えば、正極活物質と導電助材とバインダーとを有する。 The positive electrode 2 has a positive electrode current collector 2A and a positive electrode active material layer 2B. The positive electrode active material layer 2B is formed on at least one surface of the positive electrode current collector 2A. The positive electrode active material layer 2B may be formed on both surfaces of the positive electrode current collector 2A. The positive electrode current collector 2A is, for example, a conductive plate material. The positive electrode active material layer 2B has, for example, a positive electrode active material, a conductive auxiliary material, and a binder.
 正極活物質は、リチウムイオンの吸蔵及び放出、リチウムイオンの脱離及び挿入(インターカレーション)、又は、リチウムイオンとカウンターアニオンのドープ及び脱ドープを可逆的に進行させる。正極活物質は、例えば、コバルト酸リチウム(LCO)、リチウムニッケルコバルトマンガン複合酸化物(NCM)、リチウムニッケルコバルトアルミニウム複合酸化物(NCA)、リチウムマンガン酸化物(LMO)、リン酸鉄リチウム(LFP)である。正極活物質層2Bは、これらの正極活物質を複数含んでもよい。正極活物質は、これらに限られず公知のものを用いることができる。導電助材及びバインダーは公知のものを用いることができる。 The positive electrode active material reversibly proceeds with the occlusion and release of lithium ions, the desorption and insertion (intercalation) of lithium ions, or the doping and dedoping of lithium ions and counter anions. The positive electrode active material is, for example, lithium cobalt oxide (LCO), lithium nickel cobalt manganese composite oxide (NCM), lithium nickel cobalt aluminum composite oxide (NCA), lithium manganese oxide (LMO), lithium iron phosphate (LFP). ). The positive electrode active material layer 2B may contain a plurality of these positive electrode active materials. The positive electrode active material is not limited to these, and known materials can be used. Known conductive auxiliary materials and binders can be used.
 負極3は、負極集電体3Aと負極活物質層3Bとを有する。負極活物質層3Bは、負極集電体3Aの少なくとも一面に形成されている。負極活物質層3Bは、負極集電体3Aの両面に形成されていてもよい。負極集電体3Aは、例えば、導電性の板材である。負極活物質層3Bは、例えば、正極活物質と導電助材とバインダーとを有する。 The negative electrode 3 has a negative electrode current collector 3A and a negative electrode active material layer 3B. The negative electrode active material layer 3B is formed on at least one surface of the negative electrode current collector 3A. The negative electrode active material layer 3B may be formed on both surfaces of the negative electrode current collector 3A. The negative electrode current collector 3A is, for example, a conductive plate material. The negative electrode active material layer 3B has, for example, a positive electrode active material, a conductive auxiliary material, and a binder.
 負極活物質は、イオンを吸蔵・放出可能な化合物であればよく、公知のリチウムイオン二次電池に用いられる負極活物質を使用できる。負極活物質は、例えば、グラファイトである。負極活物質は、金属リチウム、シリコン化合物等でもよい。 The negative electrode active material may be any compound that can occlude and release ions, and a known negative electrode active material used in a lithium ion secondary battery can be used. The negative electrode active material is, for example, graphite. The negative electrode active material may be metallic lithium, a silicon compound or the like.
 電解液は、外装体5内に封入され、発電素子4に含浸している。電解液は、公知のものを用いることができる。 The electrolytic solution is sealed in the exterior body 5 and impregnated in the power generation element 4. A known electrolytic solution can be used.
 第1実施形態にかかる電池パック100は、制御装置20によって二次電池10のSOHを適切な値に補正できる。 The battery pack 100 according to the first embodiment can correct the SOH of the secondary battery 10 to an appropriate value by the control device 20.
 第1実施形態にかかる制御装置20は、V-dQ/dV曲線における二つの極大点と、横軸上の任意の点とを選択し、これらの三点によって形成される三角形の面積を利用して補正を行う。V-dQ/dV曲線における極大点は、充放電曲線において電位が平坦な部分に対応し、極小点は、充放電曲線において電位の変動が大きい部分に対応する。すなわち、V-dQ/dV曲線における極大点は、あるステージの充放電反応が進行している状態であり、極小点はあるステージから異なるステージに充放電反応が移行している状態である。 The control device 20 according to the first embodiment selects two maximum points in the V-dQ / dV curve and arbitrary points on the horizontal axis, and utilizes the area of the triangle formed by these three points. And make corrections. The maximum point on the V-dQ / dV curve corresponds to the portion where the potential is flat on the charge / discharge curve, and the minimum point corresponds to the portion where the potential fluctuates greatly on the charge / discharge curve. That is, the maximum point in the V-dQ / dV curve is a state in which the charge / discharge reaction of a certain stage is in progress, and the minimum point is a state in which the charge / discharge reaction is shifting from a certain stage to a different stage.
 三角形の面積は、選択された極大点の縦軸(dQ/dV)方向の変化だけでなく、横軸(V)方向の変化も反映する。三角形の面積を利用してSOHを補正することで、二次電池10の劣化状態を正確に把握することができる結果、二次電池10のSOHを正確に推定することができる。 The area of the triangle reflects not only the change in the vertical axis (dQ / dV) direction of the selected maximum point, but also the change in the horizontal axis (V) direction. By correcting the SOH using the area of the triangle, the deteriorated state of the secondary battery 10 can be accurately grasped, and as a result, the SOH of the secondary battery 10 can be accurately estimated.
 第2実施形態において、面積算出手段22は、V-dQ/dV曲線に表れる複数の極小点のうち、二つの極小点を選択し、横軸上で任意の点を選択し、選択された二つの極小点と横軸上の任意の点とによって形成される三角形の面積を算出する。 In the second embodiment, the area calculation means 22 selects two minimum points from the plurality of minimum points appearing on the V−dQ / dV curve, selects an arbitrary point on the horizontal axis, and selects two. Calculate the area of a triangle formed by one minimum point and an arbitrary point on the horizontal axis.
 面積算出手段22における極小点の選択は任意である。面積算出手段22は、二つの極小点を選択する。面積算出手段22において選択された二つの極小点は隣接していてもよいし、選択された二つの極小点の間に別の極小点が存在してもよい。 The selection of the minimum point in the area calculation means 22 is arbitrary. The area calculation means 22 selects two minimum points. The two minimum points selected by the area calculation means 22 may be adjacent to each other, or another minimum point may exist between the two selected minimum points.
 例えば、面積算出手段22は、選択される二つの極小点のうちの低電圧側の極小点として、3.40V以上、3.80V以下の電圧範囲に表れる極小点を選択してもよい。例えば、当該電圧範囲内に複数の極小点がある場合は、最も小さなメインの極小点を選択する。図2における極小点B1はこの電圧範囲内にある。極小点B1は、二次電池の初期の充放電試験において、満放電状態から1番目に表れる極小点である。例えば、極小点B1は、負極のグラファイトのステージ構造において、ステージ4の単相反応に基づく電圧変動領域に伴う極値点である。換言すると、低電圧側の極小点として、二次電池の初期の充放電試験において満放電状態から1番目に表れる極小点を選択することができる。 For example, the area calculation means 22 may select a minimum point appearing in a voltage range of 3.40 V or more and 3.80 V or less as the minimum point on the low voltage side of the two selected minimum points. For example, if there are a plurality of minimum points within the voltage range, the smallest main minimum point is selected. The minimum point B1 in FIG. 2 is within this voltage range. The minimum point B1 is the minimum point that appears first from the fully discharged state in the initial charge / discharge test of the secondary battery. For example, the minimum point B1 is an extreme value point associated with a voltage fluctuation region based on the single-phase reaction of stage 4 in the graphite stage structure of the negative electrode. In other words, as the minimum point on the low voltage side, the minimum point that appears first from the fully discharged state in the initial charge / discharge test of the secondary battery can be selected.
 例えば、面積算出手段22は、選択される二つの極小点のうちの高電圧側の極小点として、3.65V以上、4.00V以下の電圧範囲に表れる極小点を選択してもよい。例えば、当該電圧範囲内に複数の極小点がある場合は、最も小さなメインの極小点を選択する。図2における極小点B2はこの電圧範囲内にある。極小点B2は、二次電池の初期の充放電試験において、満放電状態から2番目に表れる極小点である。例えば、極小点B2は、二次電池10の正極活物質に含まれるニッケルコバルトマンガン酸化物の六方晶/単斜晶の二相共存反応が完了することに伴う極小点である。換言すると、高電圧側の極小点として、二次電池の初期の充放電試験において満放電状態から2番目に表れる極小点を選択することができる。 For example, the area calculation means 22 may select a minimum point appearing in a voltage range of 3.65 V or more and 4.00 V or less as the minimum point on the high voltage side of the two selected minimum points. For example, if there are a plurality of minimum points within the voltage range, the smallest main minimum point is selected. The minimum point B2 in FIG. 2 is within this voltage range. The minimum point B2 is the minimum point that appears second from the fully discharged state in the initial charge / discharge test of the secondary battery. For example, the minimum point B2 is a minimum point associated with the completion of the hexagonal / monoclinic two-phase coexistence reaction of nickel cobalt manganese oxide contained in the positive electrode active material of the secondary battery 10. In other words, as the minimum point on the high voltage side, the minimum point that appears second from the fully discharged state in the initial charge / discharge test of the secondary battery can be selected.
 面積算出手段22は、選択された二つの極小点と、選択された横軸上の任意の点とによって形成される三角形の面積を算出する。図7は、二つの極小点としてBa及びBbを選択し、横軸上の任意の点としてNを選択した場合に形成される三角形の一例を示す。低電圧側の極小点Baの座標を(Bax、Bay)とし、高電圧側の極小点Bbの座標を(Bbx、Bby)とし、横軸上の任意の点Nの座標を(Nx、0)とすると、三角形の面積Yは以下の式によって求めることができる。
 Y=|(Bax―Nx)Bby―(Bbx―Nx)Bay|×0.5
The area calculation means 22 calculates the area of a triangle formed by two selected minimum points and an arbitrary point on the selected horizontal axis. FIG. 7 shows an example of a triangle formed when Ba and Bb are selected as two minimum points and N is selected as an arbitrary point on the horizontal axis. The coordinates of the minimum point Ba on the low voltage side are (Bax, Bay), the coordinates of the minimum point Bb on the high voltage side are (Bbx, Bby), and the coordinates of any point N on the horizontal axis are (Nx, 0). Then, the area Y of the triangle can be obtained by the following formula.
Y = | (Bax-Nx) Bby- (Bbx-Nx) Bay | × 0.5
 面積算出手段22で求められた面積Yは、補正手段23へ送られる。補正手段23は、面積算出手段22から送られた面積Yに基づいて、二次電池10のSOHを推定する。補正手段は、推定されたSOHを補正値として、二次電池10のSOHを補正する。 The area Y obtained by the area calculation means 22 is sent to the correction means 23. The correction means 23 estimates the SOH of the secondary battery 10 based on the area Y sent from the area calculation means 22. The correction means corrects the SOH of the secondary battery 10 using the estimated SOH as a correction value.
 補正値は、以下の式(3)を満たす。
 SOH=CY+D ・・・(3)
 式(3)において、SOHは二次電池の推定される劣化度合いであり、補正値である。式(3)において、Yは面積算出手段22で算出された面積である。式(3)において、C、Dは、定数である。
The correction value satisfies the following equation (3).
SOH = CY + D ... (3)
In the formula (3), SOH is an estimated degree of deterioration of the secondary battery and is a correction value. In the formula (3), Y is the area calculated by the area calculation means 22. In equation (3), C and D are constants.
 C、Dの定数は、第1実施形態と同様に、校正サンプルにおける面積と校正サンプルの劣化度合いとの関係から予め求められ、補正手段23に予め記憶されている。 Similar to the first embodiment, the constants C and D are obtained in advance from the relationship between the area of the calibration sample and the degree of deterioration of the calibration sample, and are stored in advance in the correction means 23.
 例えば、面積算出手段22は、選択された二つの極小点と横軸上の任意の点とが、0.7≦(NBa)/(NBb)≦1.3 ・・・(4)を満たすように横軸上の任意の点を選択する。式(4)中、NBaは低電圧側の極小点と横軸上の任意の点との距離であり、NBbは高電圧側の極小点と横軸上の任意の点との距離である。 For example, in the area calculation means 22, the two selected minimum points and an arbitrary point on the horizontal axis satisfy 0.7 ≦ (NBa) / (NBb) ≦ 1.3 ... (4). Select any point on the horizontal axis. In equation (4), NBa is the distance between the minimum point on the low voltage side and an arbitrary point on the horizontal axis, and NBb is the distance between the minimum point on the high voltage side and an arbitrary point on the horizontal axis.
 以上、本発明の実施形態について図面を参照して詳述したが、各実施形態における各構成及びそれらの組み合わせ等は一例であり、本発明の趣旨から逸脱しない範囲内で、構成の付加、省略、置換、及びその他の変更が可能である。 Although the embodiments of the present invention have been described in detail with reference to the drawings, the configurations and combinations thereof in the respective embodiments are examples, and the configurations are added or omitted within the range not deviating from the gist of the present invention. , Replacements, and other changes are possible.
 例えば、二つの極大点又は二つの極小点と、横軸上の任意の点とによって形成される三角形の面積に代えて、この面積と数学的に等価な値を用いてもよい。例えば、二つの極大点又は二つの極小点に代えて、これと数学的に等価な点を用いてもよい。例えば、V-dQ/dV曲線は、Q-V曲線のX軸とY軸を入れ替えてQをVで微分したものであるため、dQ/dVの極値点は、通常のQ-V曲線における変曲点と数学的に等価である。例えば、Q-V曲線において傾きの逆数が、最大または最小となる2つの変曲点を選択し、これら2つの変曲点と横軸上の任意の点とによって形成される三角形の面積を用いて、補正値(SOH)を算出してもよい。この場合、補正の算出に用いる指標が変わるだけであり、V-dQ/dV曲線における極値点を用いる場合と同様の手順で推定される補正値(SOH)を算出できる。 For example, instead of the area of a triangle formed by two maximum points or two minimum points and an arbitrary point on the horizontal axis, a value mathematically equivalent to this area may be used. For example, instead of two local maximum points or two local minimum points, mathematically equivalent points may be used. For example, since the VdQ / dV curve is obtained by exchanging the X-axis and the Y-axis of the QV curve and differentiating Q by V, the extreme point of dQ / dV is in the normal QV curve. It is mathematically equivalent to the inflection point. For example, in the QV curve, select two inflection points where the reciprocal of the slope is the maximum or minimum, and use the area of the triangle formed by these two inflection points and any point on the horizontal axis. The correction value (SOH) may be calculated. In this case, only the index used for calculating the correction changes, and the correction value (SOH) estimated by the same procedure as when using the extreme value point in the V-dQ / dV curve can be calculated.
「実施例1」
 実施例1の二次電池としてリチウムイオン二次電池を作製した。まず、正極を準備した。正極活物質としてNCA(組成式:Li1.0Ni0.78Co0.19Al0.03)、導電材としてカーボンブラック、バインダーとしてポリフッ化ビニリデン(PVDF)を準備した。これらを溶媒中で混合し、塗料を作製し、アルミ箔からなる正極集電体上に塗布した。正極活物質と導電材とバインダーの質量比は、95:2:3とした。塗布後に、溶媒は除去した。正極活物質層のローディングが10.0mg/cmの正極シートを作製した。
"Example 1"
A lithium ion secondary battery was produced as the secondary battery of Example 1. First, a positive electrode was prepared. NCA (composition formula: Li 1.0 Ni 0.78 Co 0.19 Al 0.03 O 2 ) was prepared as the positive electrode active material, carbon black was prepared as the conductive material, and polyvinylidene fluoride (PVDF) was prepared as the binder. These were mixed in a solvent to prepare a paint, which was applied onto a positive electrode current collector made of aluminum foil. The mass ratio of the positive electrode active material, the conductive material, and the binder was 95: 2: 3. After coating, the solvent was removed. A positive electrode sheet having a loading of the positive electrode active material layer of 10.0 mg / cm 2 was prepared.
 次いで負極を準備した。負極活物質としてグラファイト、バインダーとしてスチレン・ブタジエンゴム(SBR)、増粘剤としてカルボキシメチルセルロース(CMC)を準備した。これらを蒸留水に分散させ、塗料を作製し、銅箔からなる負極集電体上に塗布した。
 負極活物質とバインダーおよび増粘剤は質量比で95:3:2とした。塗布後に乾燥させ、負極活物質層のローディングが6.0mg/cmの負極シートを作製した。
Then the negative electrode was prepared. Graphite was prepared as the negative electrode active material, styrene-butadiene rubber (SBR) was prepared as the binder, and carboxymethyl cellulose (CMC) was prepared as the thickener. These were dispersed in distilled water to prepare a paint, which was applied onto a negative electrode current collector made of copper foil.
The mass ratio of the negative electrode active material, the binder and the thickener was 95: 3: 2. After coating, it was dried to prepare a negative electrode sheet having a loading of the negative electrode active material layer of 6.0 mg / cm 2.
 上記で作製した正極および負極と、セパレータを介して積層した。セパレータには、ポリエチレンとポリプロピレンの積層体を用いた。得られた発電部を調製した電解液に含浸させてから外装体内に封入した後、真空シールし、評価用のリチウム二次電池を作製した。電解液は、エチレンカーボネート(EC)とジメチルカーボネート(DEC)が等量混合された溶媒に、六フッ化リン酸リチウム(LiPF)1.5MOL/Lを溶解させたものとした。 The positive electrode and the negative electrode prepared above were laminated via a separator. A laminate of polyethylene and polypropylene was used as the separator. The obtained power generation unit was impregnated with the prepared electrolytic solution, sealed in the exterior body, and then vacuum-sealed to prepare a lithium secondary battery for evaluation. The electrolytic solution was prepared by dissolving 1.5 MOL / L of lithium hexafluorophosphate (LiPF 6 ) in a solvent in which equal amounts of ethylene carbonate (EC) and dimethyl carbonate (DEC) were mixed.
 リチウム二次電池の充放電サイクルを繰り返しながら、実測のSOHと推定のSOHとを求めた。実測及び推定のSOHは、100サイクル、200サイクル、300サイクルのそれぞれで求めた。その結果を表1及び表2に示す。 While repeating the charge / discharge cycle of the lithium secondary battery, the measured SOH and the estimated SOH were obtained. The measured and estimated SOH was determined in 100 cycles, 200 cycles, and 300 cycles, respectively. The results are shown in Tables 1 and 2.
 1回の充放電の条件は、25℃において、0.1Cに相当する定電流で、終止電圧4.4Vまで充電し、その後0.1Cに相当する定電流で3.0Vまで放電した。1Cは、電池の基準容量を1時間で放電する電流値を表し、0.1Cとはその1/10の電流値を表す。実測のSOHは、各サイクルの満充電から満放電までの容量を初回の満充電から満放電までの容量で割り、100をかけることで求めた。推測のSOHは、上述の関係式(1)から求められた補正値である。また上述のように、推測のSOHは、Q-V曲線における変曲点を用いて、求められた補正値であってもよい。本実施例は、変曲点をより鮮明に捉えるためにdQ/dVの極値点を用いた。 The condition of one charge / discharge was that at 25 ° C., the battery was charged to a final voltage of 4.4 V with a constant current corresponding to 0.1 C, and then discharged to 3.0 V with a constant current corresponding to 0.1 C. 1C represents the current value for discharging the reference capacity of the battery in 1 hour, and 0.1C represents the current value of 1/10 of the current value. The measured SOH was obtained by dividing the capacity from full charge to full discharge in each cycle by the capacity from the first full charge to full discharge and multiplying by 100. The estimated SOH is a correction value obtained from the above-mentioned relational expression (1). Further, as described above, the estimated SOH may be a correction value obtained by using the inflection point in the QV curve. In this example, the extreme points of dQ / dV were used in order to capture the inflection point more clearly.
 実施例1では、補正値を求める際に、二つの極大点を選択した。低電圧側の極大点を3.35V~3.75Vの電圧範囲から選択し、高電圧側の極大点を3.75V~4.20Vの電圧範囲から選択し、横軸上の任意の点として、0Vの点を選択した。極大点として、満放電状態から1番目に表れる電圧安定領域に伴う極大点(P1)と、満放電状態から3番目に表れる電圧安定領域に伴う極大点(P3)とが選択された。 In Example 1, two maximum points were selected when obtaining the correction value. Select the maximum point on the low voltage side from the voltage range of 3.35V to 3.75V, select the maximum point on the high voltage side from the voltage range of 3.75V to 4.20V, and use it as an arbitrary point on the horizontal axis. , 0V point was selected. As the maximum points, a maximum point (P1) associated with the voltage stabilizing region that appears first from the fully discharged state and a maximum point (P3) associated with the voltage stabilizing region that appears third from the fully discharged state were selected.
「実施例2」
 実施例2は、補正値を求める際に、二つの極大点を選択した。低電圧側の極大点を3.40V~3.75Vの電圧範囲から選択し、高電圧側の極大点を3.85V~4.20Vの電圧範囲から選択し、横軸上の任意の点として、4.0Vの点を選択した。極大点として、満放電状態から1番目に表れる電圧安定領域に伴う極大点(P1)と、満放電状態から3番目に表れる電圧安定領域に伴う極大点(P3)とが選択された。その他の条件は、実施例1と同じとして、100サイクル、200サイクル、300サイクルのそれぞれで実測及び推定のSOHを求めた。その結果を表1及び表2に示す。
"Example 2"
In Example 2, two maximum points were selected when obtaining the correction value. Select the maximum point on the low voltage side from the voltage range of 3.40V to 3.75V, select the maximum point on the high voltage side from the voltage range of 3.85V to 4.20V, and use it as an arbitrary point on the horizontal axis. A point of 4.0 V was selected. As the maximum points, a maximum point (P1) associated with the voltage stabilizing region that appears first from the fully discharged state and a maximum point (P3) associated with the voltage stabilizing region that appears third from the fully discharged state were selected. Other conditions were the same as in Example 1, and the measured and estimated SOH was obtained in each of 100 cycles, 200 cycles, and 300 cycles. The results are shown in Tables 1 and 2.
「実施例3」
 実施例3は、補正値を求める際に、二つの極大点を選択した。低電圧側の極大点を3.55V~3.85Vの電圧範囲から選択し、高電圧側の極大点を3.90V~4.20Vの電圧範囲から選択し、横軸上の任意の点として、4.0Vの点を選択した。極大点として、満放電状態から2番目に表れる電圧安定領域に伴う極大点(P2)と、満放電状態から3番目に表れる電圧安定領域に伴う極大点(P3)とが選択された。その他の条件は、実施例1と同じとして、100サイクル、200サイクル、300サイクルのそれぞれで実測及び推定のSOHを求めた。その結果を表1及び表2に示す。
"Example 3"
In Example 3, two maximum points were selected when obtaining the correction value. Select the maximum point on the low voltage side from the voltage range of 3.55V to 3.85V, select the maximum point on the high voltage side from the voltage range of 3.90V to 4.20V, and use it as an arbitrary point on the horizontal axis. A point of 4.0 V was selected. As the maximum points, a maximum point (P2) associated with the voltage stabilizing region appearing second from the fully discharged state and a maximum point (P3) associated with the voltage stabilizing region appearing third from the fully discharged state were selected. Other conditions were the same as in Example 1, and the measured and estimated SOH was obtained in each of 100 cycles, 200 cycles, and 300 cycles. The results are shown in Tables 1 and 2.
「実施例4」
 実施例4は、補正値を求める際に、二つの極大点を選択した。低電圧側の極大点を3.60V~3.85Vの電圧範囲から選択し、高電圧側の極大点を3.95V~4.20Vの電圧範囲から選択し、横軸上の任意の点として、4.0Vの点を選択した。極大点として、満放電状態から2番目に表れる電圧安定領域に伴う極大点(P2)と、満放電状態から4番目に表れる電圧安定領域に伴う極大点(P4)とが選択された。その他の条件は、実施例1と同じとして、100サイクル、200サイクル、300サイクルのそれぞれで実測及び推定のSOHを求めた。その結果を表1及び表2に示す。
"Example 4"
In Example 4, two maximum points were selected when obtaining the correction value. Select the maximum point on the low voltage side from the voltage range of 3.60V to 3.85V, select the maximum point on the high voltage side from the voltage range of 3.95V to 4.20V, and use it as an arbitrary point on the horizontal axis. A point of 4.0 V was selected. As the maximum points, a maximum point (P2) associated with the voltage stabilizing region appearing second from the fully discharged state and a maximum point (P4) associated with the voltage stabilizing region appearing fourth from the fully discharged state were selected. Other conditions were the same as in Example 1, and the measured and estimated SOH was obtained in each of 100 cycles, 200 cycles, and 300 cycles. The results are shown in Tables 1 and 2.
「実施例5」
 実施例5では、リチウムイオン二次電池の正極の正極活物質として、LiNi0.33Mn0.33Co0.33(NCM)とLiMn(LMO)を混合したものを用いた。NCMとLMOとの比は、8:2とした。
 実施例5は、補正値を求める際に、二つの極大点を選択した。低電圧側の極大点を3.60V~3.80Vの電圧範囲から選択し、高電圧側の極大点を4.00V~4.20Vの電圧範囲から選択し、横軸上の任意の点として、4.0Vの点を選択した。極大点として、満放電状態から2番目に表れる電圧安定領域に伴う極大点(P2)と、満放電状態から4番目に表れる電圧安定領域に伴う極大点(P4)とが選択された。その他の条件は、実施例1と同じとして、100サイクル、200サイクル、300サイクルのそれぞれで実測及び推定のSOHを求めた。その結果を表1及び表2に示す。
"Example 5"
In Example 5, a mixture of LiNi 0.33 Mn 0.33 Co 0.33 O 2 (NCM) and LiMn 2 O 4 (LMO) was used as the positive electrode active material for the positive electrode of the lithium ion secondary battery. .. The ratio of NCM to LMO was 8: 2.
In Example 5, two maximum points were selected when obtaining the correction value. Select the maximum point on the low voltage side from the voltage range of 3.60V to 3.80V, select the maximum point on the high voltage side from the voltage range of 4.00V to 4.20V, and use it as an arbitrary point on the horizontal axis. A point of 4.0 V was selected. As the maximum points, a maximum point (P2) associated with the voltage stabilizing region appearing second from the fully discharged state and a maximum point (P4) associated with the voltage stabilizing region appearing fourth from the fully discharged state were selected. Other conditions were the same as in Example 1, and the measured and estimated SOH was obtained in each of 100 cycles, 200 cycles, and 300 cycles. The results are shown in Tables 1 and 2.
「実施例6」
 実施例6は、補正値を求める際に、二つの極小点を選択した。低電圧側の極小点を3.40V~3.80Vの電圧範囲から選択し、高電圧側の極小点を3.75V~4.20Vの電圧範囲から選択し、横軸上の任意の点として、4.0Vの点を選択した。極小点として、満放電状態から1番目に表れる電圧変動領域に伴う極小点(B1)と、満放電状態から3番目に表れる電圧変動領域に伴う極小点(B3)とが選択された。その他の条件は、実施例1と同じとして、100サイクル、200サイクル、300サイクルのそれぞれで実測及び推定のSOHを求めた。その結果を表1及び表2に示す。
"Example 6"
In Example 6, two minimum points were selected when obtaining the correction value. Select the minimum point on the low voltage side from the voltage range of 3.40V to 3.80V, select the minimum point on the high voltage side from the voltage range of 3.75V to 4.20V, and use it as an arbitrary point on the horizontal axis. A point of 4.0 V was selected. As the minimum points, the minimum point (B1) associated with the voltage fluctuation region appearing first from the fully discharged state and the minimum point (B3) associated with the voltage fluctuation region appearing third from the fully discharged state were selected. Other conditions were the same as in Example 1, and the measured and estimated SOH was obtained in each of 100 cycles, 200 cycles, and 300 cycles. The results are shown in Tables 1 and 2.
「実施例7」
 実施例7は、補正値を求める際に、二つの極小点を選択した。低電圧側の極小点を3.45V~3.80Vの電圧範囲から選択し、高電圧側の極小点を3.80V~4.20Vの電圧範囲から選択し、横軸上の任意の点として、0Vの点を選択した。極小点として、満放電状態から1番目に表れる電圧変動領域に伴う極小点(B1)と、満放電状態から3番目に表れる電圧変動領域に伴う極小点(B3)とが選択された。その他の条件は、実施例1と同じとして、100サイクル、200サイクル、300サイクルのそれぞれで実測及び推定のSOHを求めた。その結果を表1及び表2に示す。
"Example 7"
In Example 7, two minimum points were selected when obtaining the correction value. Select the minimum point on the low voltage side from the voltage range of 3.45V to 3.80V, select the minimum point on the high voltage side from the voltage range of 3.80V to 4.20V, and use it as an arbitrary point on the horizontal axis. , 0V point was selected. As the minimum points, the minimum point (B1) associated with the voltage fluctuation region appearing first from the fully discharged state and the minimum point (B3) associated with the voltage fluctuation region appearing third from the fully discharged state were selected. Other conditions were the same as in Example 1, and the measured and estimated SOH was obtained in each of 100 cycles, 200 cycles, and 300 cycles. The results are shown in Tables 1 and 2.
「実施例8」
 実施例8は、補正値を求める際に、二つの極小点を選択した。低電圧側の極小点を3.45V~3.75Vの電圧範囲から選択し、高電圧側の極小点を3.85V~4.20Vの電圧範囲から選択し、横軸上の任意の点として、0Vの点を選択した。極小点として、満放電状態から1番目に表れる電圧変動領域に伴う極小点(B1)と、満放電状態から3番目に表れる電圧変動領域に伴う極小点(B3)とが選択された。その他の条件は、実施例1と同じとして、100サイクル、200サイクル、300サイクルのそれぞれで実測及び推定のSOHを求めた。その結果を表1及び表2に示す。
"Example 8"
In Example 8, two minimum points were selected when obtaining the correction value. Select the minimum point on the low voltage side from the voltage range of 3.45V to 3.75V, select the minimum point on the high voltage side from the voltage range of 3.85V to 4.20V, and use it as an arbitrary point on the horizontal axis. , 0V point was selected. As the minimum points, the minimum point (B1) associated with the voltage fluctuation region appearing first from the fully discharged state and the minimum point (B3) associated with the voltage fluctuation region appearing third from the fully discharged state were selected. Other conditions were the same as in Example 1, and the measured and estimated SOH was obtained in each of 100 cycles, 200 cycles, and 300 cycles. The results are shown in Tables 1 and 2.
「実施例9」
 実施例9は、補正値を求める際に、二つの極小点を選択した。低電圧側の極小点を3.50V~3.75Vの電圧範囲から選択し、高電圧側の極小点を3.65V~4.20Vの電圧範囲から選択し、横軸上の任意の点として、0Vの点を選択した。極小点として、満放電状態から1番目に表れる電圧変動領域に伴う極小点(B1)と、満放電状態から2番目に表れる電圧変動領域に伴う極小点(B2)とが選択された。その他の条件は、実施例1と同じとして、100サイクル、200サイクル、300サイクルのそれぞれで実測及び推定のSOHを求めた。その結果を表1及び表2に示す。
"Example 9"
In Example 9, two minimum points were selected when obtaining the correction value. Select the minimum point on the low voltage side from the voltage range of 3.50V to 3.75V, select the minimum point on the high voltage side from the voltage range of 3.65V to 4.20V, and use it as an arbitrary point on the horizontal axis. , 0V point was selected. As the minimum points, the minimum point (B1) associated with the voltage fluctuation region that appears first from the fully discharged state and the minimum point (B2) associated with the voltage fluctuation region that appears second from the fully discharged state were selected. Other conditions were the same as in Example 1, and the measured and estimated SOH was obtained in each of 100 cycles, 200 cycles, and 300 cycles. The results are shown in Tables 1 and 2.
「実施例10」
 実施例10は、補正値を求める際に、二つの極小点を選択した。低電圧側の極小点を3.50V~3.70Vの電圧範囲から選択し、高電圧側の極小点を3.70V~4.00Vの電圧範囲から選択し、横軸上の任意の点として、0Vの点を選択した。極小点として、満放電状態から1番目に表れる電圧変動領域に伴う極小点(B1)と、満放電状態から2番目に表れる電圧変動領域に伴う極小点(B2)とが選択された。その他の条件は、実施例1と同じとして、100サイクル、200サイクル、300サイクルのそれぞれで実測及び推定のSOHを求めた。その結果を表1及び表2に示す。
"Example 10"
In Example 10, two minimum points were selected when obtaining the correction value. Select the minimum point on the low voltage side from the voltage range of 3.50V to 3.70V, select the minimum point on the high voltage side from the voltage range of 3.70V to 4.00V, and use it as an arbitrary point on the horizontal axis. , 0V point was selected. As the minimum points, the minimum point (B1) associated with the voltage fluctuation region that appears first from the fully discharged state and the minimum point (B2) associated with the voltage fluctuation region that appears second from the fully discharged state were selected. Other conditions were the same as in Example 1, and the measured and estimated SOH was obtained in each of 100 cycles, 200 cycles, and 300 cycles. The results are shown in Tables 1 and 2.
「比較例1」
 比較例1は、補正値を求める際に、一つの極大点と、一つの極小点とを選択した。極大点を3.25V~3.75Vの電圧範囲から選択し、極小点を3.60V~4.10Vの電圧範囲から選択し、横軸上の任意の点として、4.0Vの点を選択した。その他の条件は、実施例1と同じとして、100サイクル、200サイクル、300サイクルのそれぞれで実測及び推定のSOHを求めた。その結果を表1及び表2に示す。
"Comparative Example 1"
In Comparative Example 1, one maximum point and one minimum point were selected when obtaining the correction value. Select the maximum point from the voltage range of 3.25V to 3.75V, select the minimum point from the voltage range of 3.60V to 4.10V, and select the 4.0V point as an arbitrary point on the horizontal axis. bottom. Other conditions were the same as in Example 1, and the measured and estimated SOH was obtained in each of 100 cycles, 200 cycles, and 300 cycles. The results are shown in Tables 1 and 2.
「比較例2」
 比較例2は、補正を行わなかった。その他の条件は、実施例1と同じとして、100サイクル、200サイクル、300サイクルのそれぞれで実測及び推定のSOHを求めた。その結果を表1及び表2に示す。
"Comparative Example 2"
In Comparative Example 2, no correction was performed. Other conditions were the same as in Example 1, and the measured and estimated SOH was obtained in each of 100 cycles, 200 cycles, and 300 cycles. The results are shown in Tables 1 and 2.
Figure JPOXMLDOC01-appb-T000001
Figure JPOXMLDOC01-appb-T000001
Figure JPOXMLDOC01-appb-T000002
Figure JPOXMLDOC01-appb-T000002
 表1及び表2に示すように、二つの極大点と横軸上の点とによって形成される三角形の面積又は二つの極小点と横軸上の点とによって形成される三角形の面積に基づいてSOHを補正した実施例1~10はいずれも、そのような面積を利用した補正を行っていない比較例1及び2よりも、実測のSOHと推定のSOHとの誤差が小さかった。 As shown in Tables 1 and 2, based on the area of the triangle formed by the two maxima and the points on the horizontal axis or the area of the triangle formed by the two local maxima and the points on the horizontal axis. In all of Examples 1 to 10 in which the SOH was corrected, the error between the actually measured SOH and the estimated SOH was smaller than in Comparative Examples 1 and 2 in which the correction using such an area was not performed.
(実機検証)
 本発明に係るSOH推定過程を制御部(制御装置)に組み込んだ蓄電池を用意した。蓄電池(電池パック)は、制御部と安全機構とを含むバッテリーマネジメントシステムと、10個のリチウムイオン二次電池セルとを中心に構成した。用意した蓄電池に対し、室温で0.2Cのレートで満放電をおこない、その後、室温で0.2Cのレートで満充電をおこない、蓄電池を実使用の初期状態とした。この充電の際に、各電圧におけるdQ/dV値を得てV-dQ/dV曲線を取得すると共に、制御部のソフトウェア上のSOHを記録した。
(Actual machine verification)
A storage battery in which the SOH estimation process according to the present invention is incorporated in a control unit (control device) is prepared. The storage battery (battery pack) is mainly composed of a battery management system including a control unit and a safety mechanism, and 10 lithium-ion secondary battery cells. The prepared storage battery was fully discharged at a rate of 0.2 C at room temperature and then fully charged at a rate of 0.2 C at room temperature to bring the storage battery into the initial state of actual use. At the time of this charging, the dQ / dV value at each voltage was obtained to obtain the V-dQ / dV curve, and the SOH on the software of the control unit was recorded.
 上記の過程で初期状態となった蓄電池を意図的に劣化させるため、100サイクル充放電工程をおこなった。ここで、100サイクル充放電工程とは、
 1)45℃の温度環境下において0.5Cのレートで満放電とした後に、0.5Cのレートで満充電をおこなう、というサイクルを100回繰り返す、
 2)最後の満放電(すなわち、100サイクル目の満放電)の後に、再び室温で0.2Cのレートでの満充電をおこない、充電時の各電圧におけるdQ/dV値を得てV-dQ/dV曲線を取得する。
 3)得られた100サイクル充放電工程後のV-dQ/dV曲線と、上記の初期状態におけるV-dQ/dV曲線と、を比較する。
 4-1)極値点形状の変化が認められた場合、蓄電池内のリチウムイオン二次電池に劣化が生じたものと判断して、制御部のソフトウェア上のSOH値を記録する、
 4-2)極値点形状の変化が認められなかった場合、ふたたび上記1)~3)の作業を繰り返す、
という要素を少なくとも含むよう構成された評価工程をいう。本実機検証では、この100サイクル充放電工程(上記1)~4-2)の作業)を、初期状態とは異なる三つのV-dQ/dV曲線と、同じく三つのSOH値と、が得られるまで繰り返した。これにより、リチウムイオン二次電池の三つの劣化状態(以下、第一の劣化状態、第二の劣化状態、第三の劣化状態、という。)におけるそれぞれのV-dQ/dV曲線とSOH値とを得た。
In order to intentionally deteriorate the storage battery in the initial state in the above process, a 100-cycle charge / discharge step was performed. Here, the 100-cycle charge / discharge process is
1) The cycle of fully discharging at a rate of 0.5C in a temperature environment of 45 ° C. and then fully charging at a rate of 0.5C is repeated 100 times.
2) After the final full discharge (that is, the 100th cycle full discharge), the battery is fully charged again at room temperature at a rate of 0.2C, and the dQ / dV value at each voltage during charging is obtained to obtain V-dQ. Get the / dV curve.
3) The obtained V-dQ / dV curve after the 100-cycle charge / discharge step is compared with the V-dQ / dV curve in the above initial state.
4-1) If a change in the shape of the extreme point is observed, it is determined that the lithium ion secondary battery in the storage battery has deteriorated, and the SOH value on the software of the control unit is recorded.
4-2) If no change in the extremum point shape is observed, repeat the above steps 1) to 3) again.
It refers to an evaluation process configured to include at least the above elements. In this actual machine verification, three V-dQ / dV curves different from the initial state and three SOH values can be obtained by performing the 100-cycle charge / discharge steps (1) to 4-2) above. Repeated until. As a result, the V-dQ / dV curves and SOH values in each of the three deteriorated states of the lithium ion secondary battery (hereinafter referred to as the first deteriorated state, the second deteriorated state, and the third deteriorated state) are obtained. Got
 第一の劣化状態のV-dQ/dV曲線と、第二の劣化状態のV-dQ/dV曲線と、第三の劣化状態のV-dQ/dV曲線と、をそれぞれ出力し、極大点として満放電状態から2番目に表れる電圧安定領域に伴う極値点(P2)と、満放電状態から4番目に表れる電圧安定領域に伴う極値点(P4)を採用した。横軸上の任意の点として、4.0Vの点を選択し、各劣化状態における三角形の面積を算出した。得られた各面積をX軸に、それぞれの劣化状態における制御部から出力されたSOH値をY軸にとり、プロットをおこなったところ、Y=AX+Bの式で表される良好な直線関係が得られた。このことから、本実機検証で用意した蓄電池では、本発明の方法によるSOHの補正が機能していることが確認できた。 The first deteriorated V-dQ / dV curve, the second deteriorated V-dQ / dV curve, and the third deteriorated V-dQ / dV curve are output as maximum points. The extreme value point (P2) associated with the voltage stable region appearing second from the fully discharged state and the extreme value point (P4) associated with the voltage stabilizing region appearing fourth from the fully discharged state were adopted. A point of 4.0 V was selected as an arbitrary point on the horizontal axis, and the area of the triangle in each deteriorated state was calculated. When each obtained area was taken on the X-axis and the SOH value output from the control unit in each deteriorated state was taken on the Y-axis and plotted, a good linear relationship represented by the formula Y = AX + B was obtained. rice field. From this, it was confirmed that the SOH correction by the method of the present invention is functioning in the storage battery prepared in the verification of the actual machine.
10 二次電池
20 制御装置
21 dQ/dV算出手段
22 平均値算出手段
23 補正手段
100 電池パック
10 Secondary battery 20 Control device 21 dQ / dV calculation means 22 Average value calculation means 23 Correction means 100 Battery pack

Claims (16)

  1.  二次電池の電圧の変化量に対する蓄電量の変化量の割合であるdQ/dVを縦軸とし、前記二次電池の電圧を横軸としたV-dQ/dV曲線に表れる複数の極値点のうちの二つの極大点又はこれと数学的に等価な点と、前記横軸上の任意の点とによって形成される三角形の面積をXとし、
     校正サンプルにおける前記面積と前記校正サンプルの劣化度合いとの関係から予め求められる定数をA、Bとした際に、
     前記二次電池の劣化度合いSOHを、SOH=AX+B ・・・(1)に補正する、
    二次電池の制御装置。
    A plurality of extremum points appearing in a V−dQ / dV curve with dQ / dV, which is the ratio of the amount of change in the amount of electricity stored to the amount of change in the voltage of the secondary battery, as the vertical axis and the voltage of the secondary battery as the horizontal axis. Let X be the area of the triangle formed by the two maximum points or points mathematically equivalent to them and any point on the horizontal axis.
    When the constants obtained in advance from the relationship between the area of the calibration sample and the degree of deterioration of the calibration sample are A and B,
    The degree of deterioration SOH of the secondary battery is corrected to SOH = AX + B ... (1).
    Secondary battery control device.
  2.  前記二つの極大点と前記横軸上の任意の点とが、0.4≦(MPa)/(MPb)≦2.4 ・・・(2)を満たし、
     式(2)中、MPaは低電圧側の前記極大点と前記横軸上の任意の点との距離であり、MPbは高電圧側の前記極大点と前記横軸上の任意の点との距離である、請求項1に記載の二次電池の制御装置。
    The two maximum points and an arbitrary point on the horizontal axis satisfy 0.4 ≦ (MPa) / (MPb) ≦ 2.4 (2).
    In the formula (2), MPa is the distance between the maximum point on the low voltage side and an arbitrary point on the horizontal axis, and MPb is the distance between the maximum point on the high voltage side and an arbitrary point on the horizontal axis. The secondary battery control device according to claim 1, which is a distance.
  3.  低電圧側の前記極大点が、3.55V以上、3.85V以下の電圧範囲に現れる極大点である、請求項1又は2に記載の二次電池の制御装置。 The secondary battery control device according to claim 1 or 2, wherein the maximum point on the low voltage side is a maximum point that appears in a voltage range of 3.55 V or more and 3.85 V or less.
  4.  高電圧側の前記極大点が、3.95V以上、4.20V以下の電圧範囲に現れる極大点である、請求項1~3のいずれか一項に記載の二次電池の制御装置。 The secondary battery control device according to any one of claims 1 to 3, wherein the maximum point on the high voltage side is a maximum point that appears in a voltage range of 3.95 V or more and 4.20 V or less.
  5.  前記dQ/dVを算出するdQ/dV算出手段と、
     前記V-dQ/dV曲線に表れる複数の極値点のうち、前記二つの極大点を選択し、前記横軸上で前記任意の点を選択し、選択された前記二つの極大点と前記横軸上の任意の点とによって形成される三角形の面積を算出する面積算出手段と、
     前記面積に基づいて、前記二次電池の劣化度合いを補正値に補正する補正手段と、を有する、請求項1~4のいずれか一項に記載の二次電池の制御装置。
    The dQ / dV calculation means for calculating the dQ / dV, and the dQ / dV calculation means.
    Among the plurality of extreme points appearing in the V-dQ / dV curve, the two maximum points are selected, the arbitrary points are selected on the horizontal axis, and the selected two maximum points and the horizontal are selected. An area calculation means for calculating the area of a triangle formed by an arbitrary point on the axis,
    The control device for a secondary battery according to any one of claims 1 to 4, further comprising a correction means for correcting the degree of deterioration of the secondary battery to a correction value based on the area.
  6.  二次電池と請求項1~5のいずれか一項に記載の二次電池の制御装置とを備える、電池パック。 A battery pack including a secondary battery and a control device for the secondary battery according to any one of claims 1 to 5.
  7.  前記二次電池は、正極に活物質として、リチウムニッケルコバルトマンガン複合酸化物(NCM)及びリチウムマンガン酸化物(LMO)を含む、請求項6に記載の電池パック。 The battery pack according to claim 6, wherein the secondary battery contains lithium nickel cobalt manganese composite oxide (NCM) and lithium manganese oxide (LMO) as active materials in the positive electrode.
  8.  二次電池の電圧の変化量に対する蓄電量の変化量の割合であるdQ/dVを縦軸とし、前記二次電池の電圧を横軸としたV-dQ/dV曲線に表れる複数の極値点のうちの二つの極大点又はこれと数学的に等価な点と、前記横軸上の任意の点とによって形成される三角形の面積をXとし、
     校正サンプルにおける前記面積と前記校正サンプルの劣化度合いとの関係から予め求められる定数をA、Bとした際に、
     前記二次電池の劣化度合いSOHを、SOH=AX+B ・・・(1)に補正する、二次電池の制御方法。
    A plurality of extremum points appearing in a V−dQ / dV curve with dQ / dV, which is the ratio of the amount of change in the amount of electricity stored to the amount of change in the voltage of the secondary battery, as the vertical axis and the voltage of the secondary battery as the horizontal axis. Let X be the area of the triangle formed by the two maximum points or points mathematically equivalent to them and any point on the horizontal axis.
    When the constants obtained in advance from the relationship between the area of the calibration sample and the degree of deterioration of the calibration sample are A and B,
    A method for controlling a secondary battery, in which the degree of deterioration SOH of the secondary battery is corrected to SOH = AX + B ... (1).
  9.  二次電池の電圧の変化量に対する蓄電量の変化量の割合であるdQ/dVを縦軸とし、前記二次電池の電圧を横軸としたV-dQ/dV曲線に表れる複数の極値点のうちの二つの極小点又はこれと数学的に等価な点と、前記横軸上の任意の点とによって形成される三角形の面積をYとし、
     校正サンプルにおける前記面積と前記校正サンプルの劣化度合いとの関係から予め求められる定数をC、Dとした際に、
     前記二次電池の劣化度合いSOHを、SOH=CY+D ・・・(3)に補正する、
    二次電池の制御装置。
    A plurality of extreme points appearing in a V−dQ / dV curve with dQ / dV, which is the ratio of the amount of change in the amount of electricity stored to the amount of change in the voltage of the secondary battery, as the vertical axis and the voltage of the secondary battery as the horizontal axis. Let Y be the area of the triangle formed by the two local minimum points or points mathematically equivalent to them and any point on the horizontal axis.
    When the constants obtained in advance from the relationship between the area of the calibration sample and the degree of deterioration of the calibration sample are C and D,
    The degree of deterioration SOH of the secondary battery is corrected to SOH = CY + D ... (3).
    Secondary battery control device.
  10.  前記二つの極小点と前記横軸上の任意の点とが、0.7≦(NBa)/(NBb)≦1.3 ・・・(4)を満たし、
     式(4)中、NBaは低電圧側の前記極小点と前記横軸上の任意の点との距離であり、NBbは高電圧側の前記極小点と前記横軸上の任意の点との距離である、請求項9に記載の二次電池の制御装置。
    The two minimum points and an arbitrary point on the horizontal axis satisfy 0.7 ≦ (NBa) / (NBb) ≦ 1.3 ... (4).
    In the formula (4), NBa is the distance between the minimum point on the low voltage side and an arbitrary point on the horizontal axis, and NBb is the distance between the minimum point on the high voltage side and an arbitrary point on the horizontal axis. The secondary battery control device according to claim 9, which is a distance.
  11.  低電圧側の前記極小点が、3.40V以上、3.80V以下の電圧範囲に現れる極小点である、請求項9又は10に記載の二次電池の制御装置。 The secondary battery control device according to claim 9 or 10, wherein the minimum point on the low voltage side is a minimum point that appears in a voltage range of 3.40 V or more and 3.80 V or less.
  12.  高電圧側の前記極小点が、3.65V以上、4.00V以下の電圧範囲に現れる極小点である、請求項9~11のいずれか一項に記載の二次電池の制御装置。 The secondary battery control device according to any one of claims 9 to 11, wherein the minimum point on the high voltage side is a minimum point that appears in a voltage range of 3.65 V or more and 4.00 V or less.
  13.  前記dQ/dVを算出するdQ/dV算出手段と、
     前記V-dQ/dV曲線に表れる複数の極値点のうち、前記二つの極小点を選択し、前記横軸上で任意の点を選択し、選択された前記二つの極小点と前記横軸上の任意の点とによって形成される三角形の面積を算出する面積算出手段と、
     前記面積に基づいて、前記二次電池の劣化度合いを補正値に補正する補正手段と、を有する、請求項9~12のいずれか一項に記載の二次電池の制御装置。
    The dQ / dV calculation means for calculating the dQ / dV, and the dQ / dV calculation means.
    Among the plurality of extreme value points appearing in the V−dQ / dV curve, the two minimum points are selected, an arbitrary point is selected on the horizontal axis, and the selected two minimum points and the horizontal axis are selected. An area calculation means for calculating the area of a triangle formed by any of the above points,
    The control device for a secondary battery according to any one of claims 9 to 12, further comprising a correction means for correcting the degree of deterioration of the secondary battery to a correction value based on the area.
  14.  二次電池と請求項9~13のいずれか一項に記載の二次電池の制御装置とを備える、電池パック。 A battery pack including a secondary battery and a control device for the secondary battery according to any one of claims 9 to 13.
  15.  前記二次電池は、正極に活物質として、リチウムニッケルコバルトマンガン複合酸化物(NCM)及びリチウムマンガン酸化物(LMO)を含む、請求項14に記載の電池パック。 The battery pack according to claim 14, wherein the secondary battery contains lithium nickel cobalt manganese composite oxide (NCM) and lithium manganese oxide (LMO) as active materials in the positive electrode.
  16.  二次電池の電圧の変化量に対する蓄電量の変化量の割合であるdQ/dVを縦軸とし、前記二次電池の電圧を横軸としたV-dQ/dV曲線に表れる複数の極値点のうちの二つの極小点又はこれと数学的に等価な点と、前記横軸上の任意の点とによって形成される三角形の面積をYとし、
     校正サンプルにおける前記面積と前記校正サンプルの劣化度合いとの関係から予め求められる定数をC、Dとした際に、
     前記二次電池の劣化度合いSOHを、SOH=CY+D ・・・(3)に補正する、
    二次電池の制御方法。
    A plurality of extreme points appearing in a V−dQ / dV curve with dQ / dV, which is the ratio of the amount of change in the amount of electricity stored to the amount of change in the voltage of the secondary battery, as the vertical axis and the voltage of the secondary battery as the horizontal axis. Let Y be the area of the triangle formed by the two local minimum points or points mathematically equivalent to them and any point on the horizontal axis.
    When the constants obtained in advance from the relationship between the area of the calibration sample and the degree of deterioration of the calibration sample are C and D,
    The degree of deterioration SOH of the secondary battery is corrected to SOH = CY + D ... (3).
    How to control the secondary battery.
PCT/JP2020/011541 2020-03-16 2020-03-16 Secondary battery control device, battery pack, and secondary battery control method WO2021186511A1 (en)

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