JP3878397B2 - Secondary battery full charge, battery deterioration degree and dischargeable capacity determination method and apparatus - Google Patents

Secondary battery full charge, battery deterioration degree and dischargeable capacity determination method and apparatus Download PDF

Info

Publication number
JP3878397B2
JP3878397B2 JP2000219674A JP2000219674A JP3878397B2 JP 3878397 B2 JP3878397 B2 JP 3878397B2 JP 2000219674 A JP2000219674 A JP 2000219674A JP 2000219674 A JP2000219674 A JP 2000219674A JP 3878397 B2 JP3878397 B2 JP 3878397B2
Authority
JP
Japan
Prior art keywords
battery
full charge
secondary battery
capacity
determination
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Fee Related
Application number
JP2000219674A
Other languages
Japanese (ja)
Other versions
JP2002044880A (en
Inventor
俊二 谷口
和之 足立
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Kyushu Electric Power Co Inc
Original Assignee
Kyushu Electric Power Co Inc
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Kyushu Electric Power Co Inc filed Critical Kyushu Electric Power Co Inc
Priority to JP2000219674A priority Critical patent/JP3878397B2/en
Publication of JP2002044880A publication Critical patent/JP2002044880A/en
Application granted granted Critical
Publication of JP3878397B2 publication Critical patent/JP3878397B2/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

Links

Images

Classifications

    • 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

Landscapes

  • Charge And Discharge Circuits For Batteries Or The Like (AREA)
  • Secondary Cells (AREA)
  • Tests Of Electric Status Of Batteries (AREA)

Description

【0001】
【発明の属する技術分野】
本発明は、鉛電池などの電極表面が溶解・析出し、かつ電極表面に不活性な絶縁物が生じるタイプの二次電池についての、満充電、電池劣化度及び放電可能容量判定方法及び装置に関する。
【0002】
【従来の技術】
従来、この種の電池の満充電判定においては、何回かの充放電の繰り返しにより、放電容量が飽和してくる容量の定数倍(例えば1.15倍)を満充電点とするなど、これまで定量的な測定方法がなかった。
また劣化度についても上記の放電容量を測定し、新品電池との比較で劣化度を算定していた。
さらに、満充電の電池に対し、放電可能な容量を推定するには、適当な方法がなかった。
【0003】
【発明が解決しようとする課題】
上述したように、電池の満充電判定については、これまで電池の使用状態および劣化状況に応じた定量的な判定手法がないため、不足充電、過充電などを引き起こし、電池寿命の上からも好ましくなかった。また電池の劣化に伴う容量変化を判定するには、充電・完全放電と何回かの充放電を繰り返しが必要となるため、1〜2日程度の時間がかかり効率的ではなかった。
更に、容易に充放電ができないため、容量測定もそのような設備を備えている専門業者に委託して行っているのが現状である。
【0004】
本発明が解決しようとする課題は、電池の満充電判定、劣化度判定並びに放電可能容量判定が定量的に可能となり、電池の使用状態に応じた最適な充放電管理が可能になることから、電池の長寿命化並びにシステムの最適運用ができ、更にはこれまで測定に要していた時間を大幅に短縮することにある。
【0005】
【課題を解決するための手段】
前記課題を解決するために、電池の満充電判定、劣化度判定並びに放電可能容量判定においては、充放電に伴い電極表面に生成される活物質の挙動、それに伴う電極界面の電気二重層容量の変化、副反応としての水素、酸素の生成反応などを電池への電流矩形パルス印加により、先の挙動を電圧波形の形状にて、判定することを特徴としている。
【0006】
すなわち、本発明の二次電池の満充電判定方法は、電極の活物質が析出、溶解するタイプの二次電池の満充電判定方法であって、電池の充電中に、充電状態の進行状況に応じて任意のタイミングで、矩形波状の充放電電流パルスを印加し、その充放電電流パルス印加時の電池電圧波形の立ち上がりの傾きdV1/dt,立ち下がりの傾きdV2/dtを測定し、 前記の任意のタイミングで測定した各時点での、d1/dt,dV2/dt又は(dV1/dt)/(dV2/dt)の値を求め、dV 1 /dtの値が最大値、dV 2 /dtの値が最小値、又は(dV 1 /dt)/(dV 2 /dt)の値が最大値のいずれかひとつの充電状態の点を、当該二次電池の満充電点と判定することを特徴とする。
【0007】
また、本発明の二次電池の劣化度判定方法は、電極の活物質が析出、溶解するタイプの二次電池の劣化度判定方法であって、測定対象電池について、請求項1に記載した二次電池の満充電判定方法により実測した満充電点の容量(Ah1)と当該電池が新品であるときの実測または定格の満充電点の容量(Ah2)との比(Ah1/Ah2当該電池が新品である時の実測または定格の満充電の容量(Ah2)に対する当該測定対象電池の劣化度とすることを特徴とする。
【0008】
さらに、本発明の二次電池の放電可能容量判定方法は、電極の活物質が析出、溶解するタイプの二次電池の放電可能容量判定方法であって、各放電時間率ごとの満充電点からの放電可能な容量を予め測定して放電可能容量テーブルとして登録しておき、前記の満充電判定方法により判定した測定対象の電池の満充電点に対する前記放電可能容量テーブルにより、当該測定対象の電池の放電可能容量を推定することを特徴とする。
【0009】
また、本発明の組電池システムの中の電池状態を判定する方法は、電極の活物質が析出、溶解するタイプの二次電池を組み合わせた組電池システムの中の電池状態を判定する方法であって、請求項1、2又は3に記載された方法により、各々の電池の満充電、劣化度又は放電可能容量を算定し、組電池システムの電池状況を事前に把握することにより、適正な電池交換時期を定量的に判定すること、並びに過充電、過放電のない最適な電池運用を可能とすることを特徴とする。
【0010】
さらに、本発明の電池の満充電、劣化及び放電容量判定装置は、正負の定電流矩形パルスを発生するパワー部と、電池電圧波形の立ち上がり、立ち下がりの状況のアナログ値をデジタル値に変換する信号処理部と、デジタル変換されたデータに基づき、請求項1記載の二次電池の満充電判定方法により満充電点を求める満充電判定部、請求項2記載の二次電池の劣化度判定方法により劣化度を判定する劣化度判定部及び請求項3記載の二次電池の放電可能容量判定方法により放電可能容量を推定する放電容量推定部を備えた判定部と、前記パワー部から判定部までの全体システムを工程にしたがって制御し、駆動信号を出力する制御部と、これらの判定結果を表示する表示部とを設けたことを特徴とする。
【0011】
【発明の実施の形態】
以下、本発明の実施の形態を、鉛二次電池を例にとって説明する。
【0012】
1.満充電点の判定方法
本発明の判定法は、図1に示す回路構成にて、波長の短い正(充電方向)、負(放電方向)の矩形波状電流パルス(1.5C×500ms)を鉛二次電池25に印加し、図2に示すように、その時現れる電池電圧波形の立ち上がりの傾きdV1/dtおよび立ち下がりの傾きdV2/dtの度合いを捉えて、電池の満充電判定を行うものである。
電池に上記パルス電流を印加すると、電極面においては、▲1▼活物質反応、▲2▼電極面での電気二重層への電荷の蓄積、▲3▼H2,O2発生などの副反応が起こる。
【0013】
図3、図4に不足充電状態および満充電状態の電極表面反応の概要を示す。
図3に示すように不足充電状態では、充電に寄与する活物質PbSO4が正負の電極表面に多く析出しているため、充電方向の矩形波電流を印加したときの電圧の立ち上がりは、緩やかである。充電が進むと、これまでの充電に寄与していた活物質PbSO4が次第に減少し、図4に示すように、満充電状態では、代わりに電極面に形成された電気二重層成分の影響が顕著になり、正の矩形波電流を印加したときの電圧の立ち上がりは、急峻となる(dV1/dtが大きくなる)。過充電領域になると、副反応による新たな活物質生成が、電極面で起こることにより、パルス印加時における電圧波形の立ち上がりは、緩やかになる(dV1/dtは減少する)。即ち図5に示すように、電圧波形の立ち上がり傾き(dV1/dt)は、充電が進むに従い増大し、過充電領域となると減少に転じる(満充電点でピークとなる。)
【0014】
一方、負(放電方向)の電流矩形パルス印加により生ずる、電圧波形の立ち下がりの傾き(dV2/dt)は、図3、図4に示すように、電気二重層に蓄えられた電荷が放出される。即ち、充電が進むに従い、電極面に形成された電気二重層に蓄えられた電荷量が増加するため、放電電荷量は増加する(dV2/dtは減少する。)。過充電領域になると、電極面でのH2,O2発生による電気二重層容量成分減少により、放電電荷量は減少する(dV2/dtは増加する)。
【0015】
このように、満充電判定においては、正(充電方向)の矩形電流パルス印加時に現れる電圧波形立ち上がりの傾きdV1/dtが大きく、負(放電方向)の矩形電流パルス印加時の電圧波形の立ち下がりの傾きdV2/dtが小さくなる点、即ち(dV1/dt)/(dV2/dt)が最大となる点が満充電点となる。
【0016】
2.劣化度判定方法
一方、劣化が進行すると、電極面において絶縁物で不活性なPbSO4が増加してくる。このため反応電極面積減少による電気二重層容量成分が減少し、少ない充電容量でピークが生じてくるようになる。図7に新品電池と劣化電池の(dV1/dt)/(dV/dt)グラフを示す。新品電池と比較すると劣化電池の(dV1/dt)/(dV2/dt)のグラフは左にシフトし、充電率の早い段階でピーク点が現れる。ここで、前もって当初の新品電池の満充電が生ずる容量Ah2を登録しておき、今回測定した劣化電池の満充電点の容量Ah1との比[(Ah1/Ah2)×100%]が、当該電池の劣化度を示す。
【0017】
3.放電容量推定法
満充電された当該電池の放電可能な容量は、放電のモード(例えば時間率)により変化する。ここで予め、満充電点からの各モード毎の放電可能な容量を予め登録しておくことにより、満充電点が判明した時点での放電容量の推定が可能となる。実験により、EV用のシール型電池について、導出した満充電からの放電可能な容量は3時間率放電で0.94程度、5時間率放電で0.96程度であった。
【0018】
【実施例】
以下、本発明の実施例について説明する。
図1は本発明に係る試験装置の実施例の構成を示すもので、21は任意波形発生装置、22は例えば−100Aから+100Aの直流電流を出力するバイポーラ電源、23はシャント、24はスイッチ、25はバッテリー、26は記録計である。
【0019】
本実施例では、任意波形発生装置21により、0.5秒の正(充電方向)、負(放電方向)の電流矩形波を作り、その後バイポーラ電源22にて測定する電池電流の定格の1.5Cとする。
【0020】
この方法により作った矩形波を予め容量を測定したシール型の鉛電池に完全放電状態から、過充電状態まで0.1C程度で充電率を上げていき、任意の充電状態にて電流矩形パルスを印加し、そのとき生じる電圧波形の立ち上がり、立ち下がり状況を測定する。
【0021】
例として図2に供試電池の各充電状態での充放電矩形電流パルス印加時の電池電圧波形の立ち上がりの傾きdV1/dt、立ち下がりの傾きdV2/dtを測定し、その比(dV1/dt)/(dV2/dt)をとると、充電が進むと、その比は徐々に増加し、ある充電点を境に減少に転ずる。
【0022】
この点を満充電点とし、この前後の充電量における放電量をプロットすると、図8に示すように、この満充電点を境にして、過充電領域では、放電量は飽和してきており、ほぼこの点が満充電点を示していることが分かる(満充電以降では、いくら充電率を上げても放電量はこれ以上増えない状態となる。)。
【0023】
また予め登録した満充電からの放電可能容量推定テーブルより推定した放電容量は、実際の容量試験結果により抽出した放電容量と一致した。
【0024】
なお、上記の実施例では、(dV1/dt)/(dV2/dt)の値が最大値を示す充電状態の点を、当該二次電池の満充電点と判定するようにしたが、充放電電流パルス印加時のT1,T2,T2/T1またはdV1/dt,dV2/dtの値を求め、それらのいずれかの値が最大値または最小値を示す充電状態の点を、当該二次電池の満充電点と判定することもできる。
【0025】
図9は、本発明の実施例を示すブロック図であり、14は正負の定電流矩形パルスを発生するパワー部、15は電池電圧波形の立ち上がり、立ち下がりの傾きであるアナログ値をデジタル値に変換する信号処理部、16はデジタル変換されたデータに基づき、満充電、劣化度判定、放電可能容量推定並びに残存容量推定する判定部、17は、全体システムの動きを制御し、駆動信号を出力する制御部、および18は、これらの判定結果を表示する表示部である。
【0026】
この実施例において、測定対象のバッテリー4に、パワー部14にて構成されるAC−DCコンバータ1,バイポーラ電源2,スイッチ3を介して、定電流矩形パルスが電池4に印加される。
【0027】
その時生じる電池電圧波形の立ち上がりの傾き(dV1/dt)、立ち下がりの傾き(dV2/dt)を信号処理部15にて構成される信号変換回路5により、アナログ値をデジタル値に変換し、そのデータを演算回路6により満充電、劣化度判定に相関のあるデータに加工する。
【0028】
この演算回路6で加工された結果に基づき、判定部16にて構成される満充電判定部9において、前記の最大値及び最小値を示す満充電点を求めるとともに、劣化度判定部10において、予め新品電池の満充電点データをテーブル7に保存しておき、先の測定対象電池の満充電点と比較し、劣化度を算定する。また放電容量推定部11において、満充電点からの放電容量が推定できる放電容量推定係数をテーブル8に保存しておき、当該電池4の放電可能容量の推定を行う。
【0029】
一方、制御部17においては、シーケンス制御回路12より駆動信号13を制御し、正負の定電流矩形パルスを生成させるとともに、満充電判定情報により充電器19からの充電動作も停止させる。
【0030】
表示部18においては、これら立ち上がり、立ち下がりの電圧波形の結果を表示するとともに、満充電及び劣化度並びに放電可能容量の判定結果を表示させる。
【0031】
この手法により、電池の満充電判定および劣化度、放電容量推定並びに劣化度判定が可能となり、旧手法に比べ大幅に改善した。
【0032】
なお、本発明は、つぎのように応用することができる。
1.本発明の満充電判定方法により、いろいろな電池の満充電点が定量的に判定できることから、充電器に組み込むことにより、電池の種類、劣化状況によらず、1つの充電器で充電ができる汎用充電器への用途に適用することができる。
【0033】
2.本発明の劣化度判定方法により、電池の劣化度が定量的に判定できることから、UPS用、自動車のスターター用など、市販電池の電池劣化診断装置としての活用。更には大型の組電池システムに採用することにより、複数電池から劣化電池を抽出するシステムへの活用が可能である。
【0034】
3.本発明の放電容量推定方法により、事前に放電容量が推定できることから、電力貯蔵システムおよび電気自動車システムなどに組み込むことにより電池の使用状況に応じた最適な運用が可能となる電池運用予測システムへの活用が可能である。
【0035】
4.電池容量試験において、完全に放電しなくても、満充電を判定することにより電池容量が分かることから、測定の大幅な時間の短縮が可能なことを利用した電池容量試験装置を提供できる。
【0036】
5.最適充電が可能となることから、当該電池の寿命が大幅に向上する充電装置への用途に適用可能である。
【0037】
【発明の効果】
上述したように、本発明によれば下記の効果を奏する。
▲1▼電池にとって、最適な満充電点が電池の使用状態、劣化状況に応じて、定量的に判定できることよりことにより、充電装置に組み込むことにより、最適な充電システムが可能となる。
▲2▼電力貯蔵装置、電気自動車バッテリシステムなど多数の組電池を有するシステムに採用することにより、劣化電池をいち早く検出でき、システムの信頼性向上に寄与できる。
▲3▼上記により、電池の寿命延伸が期待できる。
▲4▼組電池システムなど電池交換時期の最適化が可能となる。
▲5▼1台の充電装置でいろいろなタイプの電池への充電が可能となる。
▲6▼実際に放電しなくても、放電可能容量が事前に把握できることから、これまで時間を要していた容量試験の迅速化が図れる。
【図面の簡単な説明】
【図1】 バイポーラ電源を用いた矩形のパルス波による満充電判定、劣化判定評価手法の試験構成図である。
【図2】 測定対象電池に1.5C、0.5秒の正(充電方向)の定電流矩形パルスと同じく1.5C、0.5秒の負(放電方向)の定電流矩形パルスを印加したときの電圧変化(dV/dt)の測定結果を示す概念図である。
【図3】 不足充電の電池に矩形パルス波を印加(充電、放電)した時の電池電極表面反応の様子を示す図である。
【図4】 満充電状態の電池に矩形パルス波を印加(充電、放電)した時の電池電極表面反応の様子を示す図である。
【図5】 新品電池に矩形電流パルス波を印加(充電、放電)時の電池電圧波形の立ち上がり、立ち下がりの傾きの時間変化とグラフ上から分かる電池の満充電点および電池劣化度との関係図である。
【図6】 劣化電池に矩形電流パルス波を印加(充電、放電)時の電池電圧波形の立ち上がり、立ち下がりの傾きの時間変化とグラフ上から分かる電池の満充電点および電池劣化度との関係図である。
【図7】 充電率を上げていった場合の新品電池と劣化電池の電圧波形の立ち上がり(dV1/dt)、立ち下がり(dV2/dt)の比の状況を示す図である。
【図8】 満充電点前後の充電量における放電量の推移を示す図である。
【図9】 満充電、劣化度並びに放電可能容量判定装置のブロック図である。
【符号の説明】
1 AC−DCコンバータ、2 バイポーラ電源、3 スイッチ、4 測定バッテリー、5 信号変換回路、6 演算回路、7 劣化度判定テーブル、8 放電容量推定係数、9 満充電判定部、10 劣化度判定部、11 放電容量推定部、12 シーケンス制御回路、13 駆動信号、14 パワー部、15 信号処理部、16 判定部、17 制御部、18 表示部、19 充電器、21 任意波形発生装置、22 バイポーラ電源、23 シャント、24 スイッチ、25
バッテリー、26 記録計
[0001]
BACKGROUND OF THE INVENTION
The present invention relates to a full charge, battery deterioration degree and dischargeable capacity determination method and apparatus for a secondary battery in which an electrode surface such as a lead battery dissolves and precipitates and an inert insulator is generated on the electrode surface. .
[0002]
[Prior art]
Conventionally, in this type of battery full charge determination, a constant multiple (for example, 1.15 times) of the capacity at which the discharge capacity is saturated by repeated charging and discharging several times is used as the full charge point. Until now there was no quantitative measurement method.
As for the degree of deterioration, the above discharge capacity was measured, and the degree of deterioration was calculated by comparison with a new battery.
Furthermore, there has been no suitable method for estimating the dischargeable capacity of a fully charged battery.
[0003]
[Problems to be solved by the invention]
As described above, since there is no quantitative determination method according to the use state and deterioration state of the battery for battery full charge determination, it causes insufficient charge, overcharge, etc., which is preferable from the viewpoint of battery life. There wasn't. Moreover, since it is necessary to repeat charge / complete discharge and several times of charge / discharge in order to determine the capacity change accompanying the deterioration of the battery, it takes about 1 to 2 days and is not efficient.
Furthermore, since charging and discharging cannot be performed easily, the capacity measurement is currently outsourced to a specialized contractor equipped with such equipment.
[0004]
The problem to be solved by the present invention is that the battery full charge determination, the deterioration degree determination and the dischargeable capacity determination can be quantitatively performed, and the optimum charge / discharge management according to the use state of the battery becomes possible. The battery life can be extended, the system can be operated optimally, and the time required for measurement can be greatly reduced.
[0005]
[Means for Solving the Problems]
In order to solve the above problems, in the battery full charge determination, the deterioration degree determination and the dischargeable capacity determination, the behavior of the active material generated on the electrode surface along with charge / discharge, and the electric double layer capacity at the electrode interface associated therewith are determined. Changes, hydrogen generation reactions as side reactions, oxygen generation reactions, and the like are determined by applying a current rectangular pulse to the battery, and the previous behavior is determined by the shape of the voltage waveform.
[0006]
That is, the secondary battery full charge determination method of the present invention is a secondary battery full charge determination method in which the active material of the electrode is deposited and dissolved, and the state of charge state progresses while the battery is being charged. Accordingly, a rectangular waveform charging / discharging current pulse is applied at an arbitrary timing, and a rising slope dV 1 / dt and a falling slope dV 2 / dt of the battery voltage waveform at the time of applying the charging / discharging current pulse are measured, obtains a value of at each time point measured at an arbitrary timing of the, d V 1 / dt, dV 2 / dt or (dV 1 / dt) / ( dV 2 / dt), the maximum value of dV 1 / dt is Value, dV 2 / dt value is the minimum value, or (dV 1 / dt) / (dV 2 / dt) is the maximum value, and the point of charge state is the full charge point of the secondary battery It is characterized by determining.
[0007]
The secondary battery deterioration degree determination method of the present invention is a secondary battery deterioration degree determination method in which the active material of the electrode is deposited and dissolved. The ratio (Ah 1 / Ah 2 ) of the capacity (Ah 1 ) of the fully charged point measured by the method for determining the full charge of the next battery and the capacity (Ah 2 ) of the actually measured or rated full charge point when the battery is new. ) is characterized in that the degree of degradation of those said measured battery against the capacity of the fully charged the measured or rated when the battery is new (Ah 2).
[0008]
Furthermore, the dischargeable capacity determination method of the secondary battery of the present invention is a method for determining the dischargeable capacity of a secondary battery of a type in which the active material of the electrode is deposited and dissolved, and from the full charge point for each discharge time rate. The dischargeable capacity table of the measurement target battery is measured in advance and registered as a dischargeable capacity table, and the dischargeable capacity table for the full charge point of the measurement target battery determined by the full charge determination method is used. The dischargeable capacity is estimated.
[0009]
Further, the method for determining the battery state in the assembled battery system of the present invention is a method for determining the battery state in the assembled battery system in which a secondary battery in which the active material of the electrode is deposited and dissolved is combined. By calculating the full charge, the degree of deterioration or the dischargeable capacity of each battery by the method described in claim 1, 2, or 3, and by grasping the battery status of the assembled battery system in advance, an appropriate battery is obtained. It is characterized in that the replacement time is determined quantitatively, and the optimum battery operation without overcharge and overdischarge is enabled.
[0010]
Furthermore, the battery full charge, deterioration, and discharge capacity determination device of the present invention converts a power unit that generates a positive and negative constant current rectangular pulse and an analog value of a rising / falling state of a battery voltage waveform into a digital value. The full charge determination part which calculates | requires a full charge point by the full charge determination method of the secondary battery of Claim 1 based on the signal processing part and the digitally converted data, The degradation degree determination method of the secondary battery of Claim 2 A determination unit comprising a deterioration degree determination unit for determining a deterioration degree by the method and a discharge capacity estimation unit for estimating a dischargeable capacity by a dischargeable capacity determination method for a secondary battery according to claim 3, and from the power unit to the determination unit A control unit that controls the entire system according to the process and outputs a drive signal, and a display unit that displays the determination results are provided.
[0011]
DETAILED DESCRIPTION OF THE INVENTION
Hereinafter, an embodiment of the present invention will be described taking a lead secondary battery as an example.
[0012]
1. Determination Method of Full Charging Point The determination method of the present invention uses a circuit configuration shown in FIG. 1 to lead positive (charge direction) and negative (discharge direction) rectangular wave current pulses (1.5 C × 500 ms) with short wavelengths. The battery is applied to the secondary battery 25, and as shown in FIG. 2, the full charge judgment of the battery is performed by grasping the degree of the rising slope dV 1 / dt and the falling slope dV 2 / dt of the battery voltage waveform appearing at that time. Is.
When the pulse current is applied to the battery, (1) active material reaction on the electrode surface, (2) charge accumulation in the electric double layer on the electrode surface, and (3) side reactions such as generation of H 2 and O 2 Happens.
[0013]
3 and 4 show an outline of the electrode surface reaction in the undercharged state and the fully charged state.
As shown in FIG. 3, in the undercharged state, the active material PbSO 4 that contributes to charging is largely deposited on the positive and negative electrode surfaces, so that the voltage rise is slow when a rectangular wave current in the charging direction is applied. is there. As the charging progresses, the active material PbSO 4 that has contributed to the charging so far gradually decreases, and as shown in FIG. 4, in the fully charged state, the influence of the electric double layer component formed on the electrode surface instead It becomes noticeable, and the rise of the voltage when a positive rectangular wave current is applied becomes steep (dV 1 / dt increases). In the overcharge region, new active material generation due to side reactions occurs on the electrode surface, so that the rise of the voltage waveform at the time of pulse application becomes gradual (dV 1 / dt decreases). That is, as shown in FIG. 5, the rising slope (dV 1 / dt) of the voltage waveform increases as charging progresses, and starts to decrease when the overcharge region is reached (peaks at the full charge point).
[0014]
On the other hand, the slope (dV 2 / dt) of the fall of the voltage waveform caused by the application of a negative (discharge direction) current rectangular pulse releases the charge stored in the electric double layer as shown in FIGS. Is done. That is, as the charge proceeds, the amount of charge stored in the electric double layer formed on the electrode surface increases, and thus the amount of discharge charge increases (dV 2 / dt decreases). In the overcharge region, the discharge charge amount decreases (dV 2 / dt increases) due to the decrease in the electric double layer capacitance component due to the generation of H 2 and O 2 on the electrode surface.
[0015]
Thus, in the full charge determination, the slope dV 1 / dt of the rise of the voltage waveform that appears when a positive (charge direction) rectangular current pulse is applied is large, and the rise of the voltage waveform when a negative (discharge direction) rectangular current pulse is applied. The point at which the downward slope dV 2 / dt becomes smaller, that is, the point at which (dV 1 / dt) / (dV 2 / dt) is maximized is the full charge point.
[0016]
2. On the other hand, when the deterioration progresses, PbSO 4 that is inactive with an insulator increases on the electrode surface. For this reason, the electric double layer capacity component due to the reduction of the reaction electrode area is reduced, and a peak is generated with a small charge capacity. FIG. 7 shows a (dV 1 / dt) / (dV 2 / dt) graph of a new battery and a deteriorated battery. Compared with a new battery, the (dV 1 / dt) / (dV 2 / dt) graph of a deteriorated battery shifts to the left, and a peak point appears at an early stage of the charging rate. Here, the capacity Ah 2 at which the initial charge of the new battery is fully charged is registered beforehand, and the ratio of the fully charged point capacity Ah 1 of the deteriorated battery measured this time [(Ah 1 / Ah 2 ) × 100%] Shows the degree of deterioration of the battery.
[0017]
3. Discharge capacity estimation method The dischargeable capacity of the fully charged battery varies depending on the discharge mode (for example, time rate). Here, by previously registering the dischargeable capacity for each mode from the full charge point, it is possible to estimate the discharge capacity when the full charge point is found. According to the experiment, regarding the sealed battery for EV, the dischargeable capacity from the full charge derived was about 0.94 for 3 hour rate discharge and about 0.96 for 5 hour rate discharge.
[0018]
【Example】
Examples of the present invention will be described below.
FIG. 1 shows the configuration of an embodiment of a test apparatus according to the present invention, in which 21 is an arbitrary waveform generator, 22 is a bipolar power supply that outputs a direct current of, for example, −100 A to +100 A, 23 is a shunt, 24 is a switch, Reference numeral 25 is a battery, and 26 is a recorder.
[0019]
In this embodiment, an arbitrary waveform generator 21 generates a positive (charge direction) and negative (discharge direction) current rectangular wave of 0.5 seconds, and then the battery current rating of 1. 5C.
[0020]
The rectangular wave produced by this method is applied to a sealed lead battery whose capacity has been measured in advance, from the fully discharged state to the overcharged state, increasing the charging rate at about 0.1 C. Apply, and measure the rise and fall of the voltage waveform that occurs.
[0021]
As an example, the rising slope dV 1 / dt and falling slope dV 2 / dt of the battery voltage waveform at the time of charging / discharging rectangular current pulse application in each charge state of the test battery are measured, and the ratio (dV When 1 / dt) / (dV 2 / dt) is taken, as charging progresses, the ratio gradually increases and starts to decrease at a certain charging point.
[0022]
When this point is the full charge point and the discharge amount at the charge amount before and after this is plotted, as shown in FIG. 8, the discharge amount has been saturated in the overcharge region with this full charge point as a boundary. It can be seen that this point indicates a full charge point (after the full charge, the discharge amount does not increase any further no matter how much the charge rate is increased).
[0023]
Further, the discharge capacity estimated from the pre-registered chargeable capacity estimation table from the full charge coincided with the discharge capacity extracted from the actual capacity test result.
[0024]
In the above embodiment, the point of the charged state where the value of (dV 1 / dt) / (dV 2 / dt) shows the maximum value is determined as the full charge point of the secondary battery. during charging and discharging current pulse application T1, T2, T2 / T1 or dV 1 / dt, determined the value of dV 2 / dt, the point of their charge state that indicates whether the value is the maximum or minimum value of the It can also be determined that the secondary battery is fully charged.
[0025]
FIG. 9 is a block diagram showing an embodiment of the present invention, in which 14 is a power unit for generating positive and negative constant current rectangular pulses, 15 is an analog value that is the slope of the rise and fall of the battery voltage waveform, and is a digital value. A signal processing unit 16 for conversion is based on the digitally converted data, and a determination unit 17 for performing full charge, deterioration level determination, dischargeable capacity estimation and remaining capacity estimation, and 17 controls the overall system movement and outputs a drive signal. The output control unit and 18 are display units for displaying these determination results.
[0026]
In this embodiment, a constant current rectangular pulse is applied to the battery 4 via the AC-DC converter 1, the bipolar power supply 2, and the switch 3 configured by the power unit 14 to the battery 4 to be measured.
[0027]
An analog value is converted into a digital value by the signal conversion circuit 5 configured by the signal processing unit 15 with respect to the rising slope (dV 1 / dt) and the falling slope (dV 2 / dt) of the battery voltage waveform generated at that time. The data is processed by the arithmetic circuit 6 into data having a correlation with the full charge / deterioration determination.
[0028]
Based on the result processed by the arithmetic circuit 6, the full charge determination unit 9 configured by the determination unit 16 obtains the full charge point indicating the maximum value and the minimum value, and the deterioration degree determination unit 10 The full charge point data of the new battery is stored in the table 7 in advance, and compared with the full charge point of the previous battery to be measured, the deterioration degree is calculated. Further, in the discharge capacity estimation unit 11, a discharge capacity estimation coefficient that can estimate the discharge capacity from the full charge point is stored in the table 8, and the dischargeable capacity of the battery 4 is estimated.
[0029]
On the other hand, the control unit 17 controls the drive signal 13 from the sequence control circuit 12 to generate positive and negative constant current rectangular pulses, and also stops the charging operation from the charger 19 based on the full charge determination information.
[0030]
The display unit 18 displays the results of the rising and falling voltage waveforms, and the determination result of the full charge and the degree of deterioration, and the dischargeable capacity.
[0031]
With this method, it is possible to determine the full charge of the battery, the degree of deterioration, the estimation of the discharge capacity, and the degree of deterioration, which is a significant improvement over the old method.
[0032]
The present invention can be applied as follows.
1. Since the full charge point of various batteries can be quantitatively determined by the full charge determination method of the present invention, it is possible to charge with a single charger regardless of the type of battery and the deterioration state by incorporating it in the charger. It can be applied to applications for chargers.
[0033]
2. Since the deterioration degree determination method of the present invention can quantitatively determine the deterioration degree of the battery, it can be used as a battery deterioration diagnosis device for commercially available batteries such as for UPS and automobile starters. Furthermore, by adopting it in a large assembled battery system, it can be used for a system that extracts deteriorated batteries from a plurality of batteries.
[0034]
3. Since the discharge capacity can be estimated in advance by the discharge capacity estimation method of the present invention, it is possible to achieve a battery operation prediction system that can be optimally operated according to the battery usage status by being incorporated in an electric power storage system and an electric vehicle system. It can be used.
[0035]
4). In the battery capacity test, the battery capacity can be determined by determining full charge even if the battery is not completely discharged. Therefore, it is possible to provide a battery capacity test apparatus utilizing the fact that the measurement time can be greatly shortened.
[0036]
5). Since the optimum charging is possible, the battery can be applied to a charging device in which the life of the battery is significantly improved.
[0037]
【The invention's effect】
As described above, the present invention has the following effects.
(1) Since an optimal full charge point for a battery can be determined quantitatively according to the use state and deterioration state of the battery, an optimal charging system can be realized by incorporating the battery into a charging device.
(2) By adopting a system having a large number of assembled batteries, such as a power storage device and an electric vehicle battery system, it is possible to quickly detect a deteriorated battery and contribute to improving the reliability of the system.
(3) The battery life can be extended by the above.
(4) It is possible to optimize the battery replacement time such as an assembled battery system.
(5) Various types of batteries can be charged with a single charging device.
{Circle around (6)} Since the dischargeable capacity can be known in advance without actually discharging, the capacity test, which has taken a long time, can be speeded up.
[Brief description of the drawings]
FIG. 1 is a test configuration diagram of a full charge determination and deterioration determination evaluation method using a rectangular pulse wave using a bipolar power source.
[Fig. 2] 1.5C, 0.5 second negative (discharge direction) constant current rectangular pulse applied to the measurement target battery, as well as 1.5C, 0.5 second positive (charge direction) constant current rectangular pulse It is a conceptual diagram which shows the measurement result of the voltage change (dV / dt) at the time of doing.
FIG. 3 is a diagram showing a state of a battery electrode surface reaction when a rectangular pulse wave is applied (charge, discharge) to an undercharged battery.
FIG. 4 is a diagram showing a state of a battery electrode surface reaction when a rectangular pulse wave is applied (charge, discharge) to a fully charged battery.
FIG. 5 shows the relationship between the time change of the rising and falling slopes of a battery voltage waveform when a rectangular current pulse wave is applied to a new battery (charging and discharging), the full charge point of the battery and the degree of deterioration of the battery as seen from the graph. FIG.
FIG. 6 shows the relationship between the time change of the rising and falling slopes of a battery voltage waveform when a rectangular current pulse wave is applied to a deteriorated battery (charging and discharging), the full charge point of the battery and the degree of deterioration of the battery as seen from the graph. FIG.
FIG. 7 is a diagram illustrating a ratio of rising (dV 1 / dt) and falling (dV 2 / dt) voltage waveforms of a new battery and a deteriorated battery when the charging rate is increased.
FIG. 8 is a diagram showing the transition of the discharge amount in the charge amount before and after the full charge point.
FIG. 9 is a block diagram of a full charge, deterioration degree and dischargeable capacity determination device.
[Explanation of symbols]
1 AC-DC converter, 2 bipolar power supply, 3 switch, 4 measurement battery, 5 signal conversion circuit, 6 arithmetic circuit, 7 deterioration degree determination table, 8 discharge capacity estimation coefficient, 9 full charge determination part, 10 deterioration degree determination part, DESCRIPTION OF SYMBOLS 11 Discharge capacity estimation part, 12 Sequence control circuit, 13 Drive signal, 14 Power part, 15 Signal processing part, 16 Judgment part, 17 Control part, 18 Display part, 19 Charger, 21 Arbitrary waveform generator, 22 Bipolar power supply, 23 shunts, 24 switches, 25
Battery, 26 recorder

Claims (5)

電極の活物質が析出、溶解するタイプの二次電池の満充電判定方法であって、
電池の充電中に、充電状態の進行状況に応じて任意のタイミングで、矩形波状の充放電電流パルスを印加し、
その充放電電流パルス印加時の電池電圧波形の立ち上がりの傾きdV1/dt,立ち下がりの傾きdV2/dtを測定し、
前記の任意のタイミングで測定した各時点での、dV1/dt,dV2/dt又は(dV1/dt)/(dV2/dt)の値を求め、dV1/dtの値が最大値、dV2/dtの値が最小値、又は(dV1/dt)/(dV2/dt)の値が最大値のいずれかひとつの充電状態の点を、当該二次電池の満充電点と判定することを特徴とする二次電池の満充電判定方法。
A method for determining the full charge of a secondary battery in which the active material of the electrode is deposited and dissolved,
While charging the battery, apply a rectangular wave charge / discharge current pulse at any timing according to the progress of the state of charge,
Measure the rising slope dV 1 / dt and falling slope dV 2 / dt of the battery voltage waveform when the charge / discharge current pulse is applied,
The value of dV 1 / dt, dV 2 / dt or (dV 1 / dt) / (dV 2 / dt) at each time point measured at the arbitrary timing is obtained, and the value of dV 1 / dt is the maximum value. , DV 2 / dt is the minimum value, or (dV 1 / dt) / (dV 2 / dt) is the maximum value, and the point of charge state is the full charge point of the secondary battery. A method for determining a full charge of a secondary battery, characterized by:
電極の活物質が析出、溶解するタイプの二次電池の劣化度判定方法であって、
測定対象電池について、請求項1に記載した二次電池の満充電判定方法により実測した満充電点の容量(Ah1)と当該電池が新品であるときの実測または定格の満充電点の容量(Ah2)との比(Ah1/Ah2当該電池が新品である時の実測または定格の満充電の容量(Ah2)に対する当該測定対象電池の劣化度とすることを特徴とする二次電池の劣化度判定方法。
A method for determining the degree of deterioration of a secondary battery in which the active material of the electrode is deposited and dissolved,
For the battery to be measured, the capacity (Ah 1 ) of the full charge point measured by the method for determining the full charge of the secondary battery according to claim 1 and the capacity of the full charge point measured or rated when the battery is new ( characterized in that the Ah 2) and the ratio (Ah 1 / Ah 2) the degree of deterioration of those said measured battery against the capacity of the fully charged the measured or rated when the battery is new (Ah 2) A method for determining the deterioration level of a secondary battery
電極の活物質が析出、溶解するタイプの二次電池の放電可能容量判定方法であって、
各放電時間率ごとの満充電からの放電可能な容量を予め測定して放電可能容量テーブルとして登録しておき、請求項1に記載した二次電池の満充電判定方法により判定した測定対象の電池の満充電点に対する前記放電可能容量テーブルにより、当該測定対象の電池の放電可能容量を推定することを特徴とする二次電池の放電可能容量判定方法。
A method for determining a dischargeable capacity of a secondary battery in which an active material of an electrode is deposited and dissolved,
The battery of the measurement object determined by measuring the dischargeable capacity from the full charge for each discharge time rate in advance and registering it as a dischargeable capacity table, and determined by the full charge determination method of the secondary battery according to claim 1 A method for determining a dischargeable capacity of a secondary battery, wherein the dischargeable capacity of the battery to be measured is estimated from the dischargeable capacity table with respect to a full charge point.
電極の活物質が析出、溶解するタイプの二次電池を組み合わせた組電池システムの中の電池状態を判定する方法であって、
請求項1記載の二次電池の満充電判定方法、請求項2記載の二次電池の劣化度判定方法及び請求項3記載の二次電池の放電可能容量判定方法により、各々の電池の満充電、劣化度及び放電可能容量を算定し、組電池システムの電池状況を事前に把握することにより、適正な電池交換時期を定量的に判定すること、並びに過充電、過放電のない最適な電池運用を可能とすることを特徴とする組電池システムの中の電池状態を判定する方法。
A method for determining a battery state in an assembled battery system in which a secondary battery in which an active material of an electrode is deposited and dissolved is combined,
The full charge of each battery is determined by the secondary battery full charge determination method according to claim 1, the secondary battery deterioration degree determination method according to claim 2, and the secondary battery dischargeable capacity determination method according to claim 3. By calculating the degree of deterioration and dischargeable capacity, and knowing the battery status of the assembled battery system in advance, it is possible to quantitatively determine the appropriate battery replacement time, and optimal battery operation without overcharge and overdischarge A method for determining a battery state in an assembled battery system, characterized in that:
正負の定電流矩形パルスを発生するパワー部と、電池電圧波形の立ち上がり、立ち下がりの状況のアナログ値をデジタル値に変換する信号処理部と、デジタル変換されたデータに基づき、請求項1記載の二次電池の満充電判定方法により満充電点を求める満充電判定部、請求項2記載の二次電池の劣化度判定方法により劣化度を判定する劣化度判定部及び請求項3記載の二次電池の放電可能容量判定方法により放電可能容量を推定する放電容量推定部を備えた判定部と、前記パワー部から判定部までの全体システムを工程にしたがって制御し、駆動信号を出力する制御部と、これらの判定結果を表示する表示部とを設けたことを特徴とする電池の満充電、劣化及び放電容量判定装置。The power unit for generating positive and negative constant current rectangular pulses, the signal processing unit for converting the analog value of the rising / falling state of the battery voltage waveform into a digital value, and the digitally converted data, according to claim 1. The full charge determination part which calculates | requires a full charge point with the full charge determination method of a secondary battery, the deterioration degree determination part which determines a deterioration degree with the deterioration degree determination method of the secondary battery of Claim 2, and the secondary of Claim 3 A determination unit including a discharge capacity estimation unit that estimates a dischargeable capacity by a battery dischargeable capacity determination method; and a control unit that controls the entire system from the power unit to the determination unit according to a process and outputs a drive signal; A battery full charge, deterioration, and discharge capacity determination device, characterized by comprising a display unit for displaying these determination results.
JP2000219674A 2000-07-19 2000-07-19 Secondary battery full charge, battery deterioration degree and dischargeable capacity determination method and apparatus Expired - Fee Related JP3878397B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP2000219674A JP3878397B2 (en) 2000-07-19 2000-07-19 Secondary battery full charge, battery deterioration degree and dischargeable capacity determination method and apparatus

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP2000219674A JP3878397B2 (en) 2000-07-19 2000-07-19 Secondary battery full charge, battery deterioration degree and dischargeable capacity determination method and apparatus

Publications (2)

Publication Number Publication Date
JP2002044880A JP2002044880A (en) 2002-02-08
JP3878397B2 true JP3878397B2 (en) 2007-02-07

Family

ID=18714415

Family Applications (1)

Application Number Title Priority Date Filing Date
JP2000219674A Expired - Fee Related JP3878397B2 (en) 2000-07-19 2000-07-19 Secondary battery full charge, battery deterioration degree and dischargeable capacity determination method and apparatus

Country Status (1)

Country Link
JP (1) JP3878397B2 (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US11307263B2 (en) 2018-03-07 2022-04-19 Lg Energy Solution, Ltd. Device and method for predicting state-of-health of battery

Families Citing this family (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2870391B1 (en) * 2004-05-13 2007-09-21 Commissariat Energie Atomique METHOD FOR CHARGING A BATTERY
FR2898985B1 (en) * 2006-03-27 2008-06-20 Peugeot Citroen Automobiles Sa METHOD AND SYSTEM FOR DETERMINING THE HEALTH STATUS OF ELECTRIC ENERGY STORAGE MEANS.
WO2007141876A1 (en) * 2006-06-09 2007-12-13 The Furukawa Electric Co., Ltd. Method for judging deterioration state of battery, deterioration judgment device and power supply system
JP5509577B2 (en) * 2008-10-31 2014-06-04 日本電気株式会社 Charging device, management device, battery system, battery management method, and battery management program
CN103884985B (en) * 2012-12-19 2017-05-24 北京创智信科科技股份有限公司 Detection method of storage battery performance
JP7088096B2 (en) * 2019-03-20 2022-06-21 トヨタ自動車株式会社 Vehicle battery control device
CN117716250A (en) * 2022-07-14 2024-03-15 株式会社斯巴鲁 battery diagnostic device
JP7804553B2 (en) * 2022-09-30 2026-01-22 株式会社日立製作所 Battery energy storage system and method for managing battery energy storage system

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US11307263B2 (en) 2018-03-07 2022-04-19 Lg Energy Solution, Ltd. Device and method for predicting state-of-health of battery

Also Published As

Publication number Publication date
JP2002044880A (en) 2002-02-08

Similar Documents

Publication Publication Date Title
EP1460709B1 (en) Method and device for estimating remaining capacity of secondary cell, battery pack system, and electric vehicle
US6094033A (en) Battery state of charge detector with rapid charging capability and method
EP3279679B1 (en) Battery control device and electric vehicle system
US6229285B1 (en) Detector for rapid charging and method
JP4523738B2 (en) Secondary battery remaining capacity control method and apparatus
EP1777794B1 (en) Battery management system and method of determining a state of charge of a battery
KR102882556B1 (en) How to fast charge
US9705349B2 (en) Charge control device and charge time calculation method
JP4121945B2 (en) Method and apparatus for charging a rechargeable battery with a non-liquid electrolyte
CN102064571B (en) Available charging/discharging current calculation method of battery, power supply device and vehicle with the power supply device
EP1460708A1 (en) Method for estimating polarization voltage of secondary cell, method and device for estimating remaining capacity of secondary cell, battery pack system, and electric vehicle
JP6575308B2 (en) Internal resistance calculation device, computer program, and internal resistance calculation method
JP2004354050A (en) Battery state of charge estimation method, open circuit voltage estimation method, and deterioration degree calculation method and apparatus
JP3878397B2 (en) Secondary battery full charge, battery deterioration degree and dischargeable capacity determination method and apparatus
JPH08503307A (en) How to estimate the residual charge of a storage battery
JP4121098B2 (en) Rechargeable battery residual capacity detection method using nickel hydroxide positive electrode
JP2000270491A (en) Lithium ion battery charging method and lithium ion battery charging device
KR101460248B1 (en) Apparatus and method for measuring degradation of battery and equipment for reproducing battery
JP2004085574A (en) Method and apparatus for estimating state of charge of battery
JP2000221249A (en) Battery state-of-charge detection device
JP2000133322A (en) Rechargeable battery charge / discharge system
JP4215556B2 (en) Judgment method and apparatus for capacity regulation electrode of lead battery
JP4388249B2 (en) Lead battery status determination device
JPH10334952A (en) Lead-acid battery life judgment method
JP2001008375A (en) Secondary battery state management method and battery pack using this method

Legal Events

Date Code Title Description
A621 Written request for application examination

Free format text: JAPANESE INTERMEDIATE CODE: A621

Effective date: 20041105

A977 Report on retrieval

Free format text: JAPANESE INTERMEDIATE CODE: A971007

Effective date: 20060314

A131 Notification of reasons for refusal

Free format text: JAPANESE INTERMEDIATE CODE: A131

Effective date: 20060421

A521 Request for written amendment filed

Free format text: JAPANESE INTERMEDIATE CODE: A523

Effective date: 20060615

A131 Notification of reasons for refusal

Free format text: JAPANESE INTERMEDIATE CODE: A131

Effective date: 20060714

A521 Request for written amendment filed

Free format text: JAPANESE INTERMEDIATE CODE: A523

Effective date: 20060912

TRDD Decision of grant or rejection written
A01 Written decision to grant a patent or to grant a registration (utility model)

Free format text: JAPANESE INTERMEDIATE CODE: A01

Effective date: 20061006

A61 First payment of annual fees (during grant procedure)

Free format text: JAPANESE INTERMEDIATE CODE: A61

Effective date: 20061102

R150 Certificate of patent or registration of utility model

Free format text: JAPANESE INTERMEDIATE CODE: R150

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20101110

Year of fee payment: 4

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20111110

Year of fee payment: 5

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20121110

Year of fee payment: 6

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20131110

Year of fee payment: 7

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

LAPS Cancellation because of no payment of annual fees