JP3385780B2 - Method for deriving regression equation for estimating capacity of Ni-Cd battery for trickle - Google Patents
Method for deriving regression equation for estimating capacity of Ni-Cd battery for trickleInfo
- Publication number
- JP3385780B2 JP3385780B2 JP04853995A JP4853995A JP3385780B2 JP 3385780 B2 JP3385780 B2 JP 3385780B2 JP 04853995 A JP04853995 A JP 04853995A JP 4853995 A JP4853995 A JP 4853995A JP 3385780 B2 JP3385780 B2 JP 3385780B2
- Authority
- JP
- Japan
- Prior art keywords
- battery
- capacity
- trickle
- internal impedance
- regression equation
- 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 - Lifetime
Links
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/36—Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
- G01R31/389—Measuring internal impedance, internal conductance or related variables
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/36—Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
- G01R31/392—Determining battery ageing or deterioration, e.g. state of health
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Secondary Cells (AREA)
- Tests Of Electric Status Of Batteries (AREA)
Description
【0001】[0001]
【産業上の利用分野】本発明は、トリクル用Ni−Cd
電池の、内部インピーダンス測定からの劣化状態の検知
や電池容量の推定を行う容量推定回帰式導出方法に関す
るものである。The present invention relates to a trickle Ni-Cd.
The present invention relates to a method for deriving a capacity estimation regression equation for detecting a deterioration state of a battery by measuring an internal impedance and estimating a battery capacity.
【0002】[0002]
【従来の技術】トリクル充電で使用中のNi−Cd電池
の劣化状態を検知する方法として、内部インピーダンス
測定から容量を推定する方法が有効である。この方法
は、内部インピーダンスと電池容量との間の強い相関性
に着目している。従って、本手法を適用するためには、
内部インピーダンスと電池容量との間の関係式(以下、
回帰式と称する)を事前に求めておくことが必要であ
る。そこでこの回帰式を求めるため、従来、実使用劣化
電池、あるいは温度加速等で強制的に劣化させた電池の
特性試験が行われている。2. Description of the Related Art As a method of detecting the deterioration state of a Ni-Cd battery which is being used for trickle charging, a method of estimating the capacity from an internal impedance measurement is effective. This method focuses on the strong correlation between internal impedance and battery capacity. Therefore, in order to apply this method,
The relational expression between the internal impedance and the battery capacity (hereinafter,
It is necessary to obtain in advance). Therefore, in order to obtain this regression equation, conventionally, a characteristic test of a deteriorated battery actually used or a battery forcibly deteriorated by temperature acceleration or the like has been performed.
【0003】[0003]
【発明が解決しようとする課題】しかしながら、Ni−
Cd電池の劣化には長時間を要するため、電池寿命の判
定基準となる容量50〜60%までの劣化電池を得るに
は、実使用による劣化で早くて数年、温度加速による作
製でも最低数カ月を必要とし、回帰式を求めるまでに長
時間が必要になるという問題点があった。However, the Ni-
Since deterioration of a Cd battery requires a long time, in order to obtain a deteriorated battery having a capacity of 50 to 60%, which is a criterion for battery life, deterioration due to actual use can take several years at the earliest, and even temperature-accelerated production can result in at least several months. Was required, and it took a long time to obtain the regression equation.
【0004】そこで本発明は、上記従来例の問題点を解
決すべく、トリクル使用のNi−Cd電池での支配的な
劣化モードが電解液枯れであることに着目し、電解液量
を標準以下として作製した疑似劣化電池の特性から、回
帰式を短時間で求めるトリクル用Ni−Cd電池の容量
推定回帰式導出方法を提供することを目的とする。Therefore, in order to solve the above-mentioned problems of the conventional example, the present invention focuses on the fact that electrolyte dormancy is the predominant deterioration mode in Ni-Cd batteries using trickle, and the amount of electrolyte is below the standard. An object of the present invention is to provide a method for deriving a capacity estimation regression formula for a trickle Ni-Cd battery, which is used to obtain a regression formula in a short time from the characteristics of the pseudo-degraded battery manufactured as described above.
【0005】[0005]
【課題を解決するための手段】上記目的を達成するため
に本発明は、内部インピ−ダンスからトリクル用Ni−
Cd電池の劣化状態の検知や電池容量の推定を行う方法
において、インピ−ダンスと電池容量との間の回帰式
を、該電池と同一規格で電解液量だけを標準以下として
作製した疑似劣化電池の特性から求めることを特徴とす
る。In order to achieve the above-mentioned object, the present invention is directed to a Ni-for trickle from an internal impedance.
In a method for detecting the deterioration state of a Cd battery and estimating the battery capacity, a pseudo-deteriorated battery having a regression equation between the impedance and the battery capacity, which has the same standard as that of the battery but only the electrolyte amount is below the standard. It is characterized by being obtained from the characteristics of.
【0006】又、本発明は、内部インピ−ダンスからト
リクル用Ni−Cd電池の劣化状態の検知や電池容量の
推定を行う方法において、インピ−ダンスと電池容量と
の間の回帰式を、該電池と公称容量やサイズの異なる規
格で電解液量だけを標準以下として作製した疑似劣化電
池の特性から求めることを特徴とする。In the method of detecting the deterioration state of the trickle Ni-Cd battery or estimating the battery capacity from the internal impedance, the present invention uses a regression equation between the impedance and the battery capacity. It is characterized in that it is obtained from the characteristics of a pseudo-deteriorated battery that is manufactured with the standard capacity and size different from that of the battery and only the amount of electrolyte is below the standard.
【0007】又、本発明は、内部インピ−ダンスからト
リクル用Ni−Cd電池の劣化状態の検知や電池容量の
推定を行う方法において、内部インピ−ダンスの実数部
ZReから電池容量を推定することを特徴とする。Further, according to the present invention, the battery capacity is estimated from the real part Z Re of the internal impedance in the method of detecting the deterioration state of the trickle Ni-Cd battery and estimating the battery capacity from the internal impedance. It is characterized by
【0008】又、本発明は、内部インピ−ダンスからト
リクル用Ni−Cd電池の劣化状態の検知や電池容量の
推定を行う方法において、内部インピ−ダンスの実数部
ZReと電池容量Qとの間の回帰式を、
Q=a×ln(ZRe)+b (a,bは任意定数)
の形とすることを特徴とする。Further, according to the present invention, in the method of detecting the deterioration state of the Ni-Cd battery for trickle and estimating the battery capacity from the internal impedance, the real part Z Re of the internal impedance and the battery capacity Q are compared. It is characterized in that the regression equation between is in the form of Q = a × ln (Z Re ) + b (a and b are arbitrary constants).
【0009】又、本発明は、内部インピ−ダンスからト
リクル用Ni−Cd電池の劣化状態の検知や電池容量の
推定を行う方法において、内部インピ−ダンスの絶対値
|ZRe+ZIm|から電池容量を推定することを特徴とす
る。Further, the present invention is a method for detecting the deterioration state of a Ni-Cd battery for trickle and estimating the battery capacity from the internal impedance, in which the absolute value of the internal impedance | Z Re + Z Im | It is characterized by estimating the capacity.
【0010】又、本発明は、内部インピ−ダンスからト
リクル用Ni−Cd電池の劣化状態の検知や電池容量の
推定を行う方法において、内部インピ−ダンスの絶対値
|ZRe+ZIm|と電池容量Qとの間の回帰式を、
Q=a×ln|ZRe+ZIm|+b (a,bは任意定数)
の形とすることを特徴とする。Further, the present invention is a method for detecting the deterioration state of a Ni-Cd battery for trickle and estimating the battery capacity from the internal impedance, in the absolute value of internal impedance | Z Re + Z Im | It is characterized in that the regression equation with the capacitance Q is in the form of Q = a × ln | Z Re + Z Im | + b (a and b are arbitrary constants).
【0011】[0011]
【作用】上記手段により本発明では、標準使用のトリク
ル用Ni−Cd電池Aに対して、電解液量だけが標準以
下の疑似劣化電池を作製し、この疑似劣化電池の回帰式
を電池Aの回帰式とする。更に、公称容量やサイズが電
池Aとは異なる同一メーカ製の電池Bについて、「電
極、セパレータ等の構成材料やその厚さ、多孔度等の設
計が電池Aと同じ」とみなしうる場合には、電池Bの回
帰式を電池Aの回帰式から誘導して求める。By the above means, in the present invention, a pseudo-deteriorated battery whose amount of electrolyte is less than the standard is produced with respect to the standard Ni-Cd battery A for trickle, and the regression equation of this pseudo-degraded battery is Use regression equation. Further, in the case of a battery B manufactured by the same manufacturer whose nominal capacity and size are different from that of the battery A, if it can be regarded as “the same as the battery A in the design of the constituent materials such as electrodes and separators, their thickness, porosity, etc.” , The regression equation for battery B is derived from the regression equation for battery A.
【0012】[0012]
【実施例】以下図面を参照して本発明の実施例を詳細に
説明する。図1は、X社製で標準使用での公称電圧が
1.2V、公称容量が4000mAhの単1型トリクル
用Ni−Cd電池[1]の、疑似劣化電池に対する電解
液量と電池容量との関係を示す特性図である。電池容量
は、JISに基づく試験にて求めた。また、電解液量は
標準値を100%としている。グラフは、電解液の減少
による電池容量の低下が観察され、疑似劣化特性を示し
ている。図2は、該電池の内部インピーダンスの実数部
RIm=0(ここでは、虚数部がゼロとなる周波数での実数
部抵抗)と電池容量Qとの関係を示す特性図である。内
部インピーダンスは、ガルバノスタットで0.5Aの電
流を流し、周波数応答アナライザによる解析から求め
た。グラフには直線性が観察され、次式が電池[1]の
回帰式となる。Embodiments of the present invention will now be described in detail with reference to the drawings. FIG. 1 shows the amount of electrolyte and the battery capacity of a Ni-Cd battery [1] for a single type trickle [1] having a nominal voltage of 1.2 V and a nominal capacity of 4000 mAh manufactured by X company, which is used for the standard deterioration. It is a characteristic view which shows a relationship. The battery capacity was obtained by a test based on JIS. The standard value of the amount of electrolyte is 100%. In the graph, a decrease in battery capacity due to a decrease in electrolytic solution was observed, which shows pseudo deterioration characteristics. FIG. 2 is a characteristic diagram showing the relationship between the real part of the internal impedance of the battery R Im = 0 (here, the real part resistance at the frequency where the imaginary part becomes zero) and the battery capacity Q. The internal impedance was obtained by analyzing a frequency response analyzer with a galvanostat passing a current of 0.5 A. Linearity is observed in the graph, and the following equation is the regression equation for battery [1].
【0013】
Q=−1095×ln(RIm=0)+6940 (1)
次に、該回帰式の有効性を、実際に使用されていた劣化
電池の特性と比較することで検証する。ここで、電池
[1]の実際の劣化電池については、先に述べた、Ni
−Cd電池の作製には長時間を要する、という理由によ
り現在のところでは得られていない。そこで、公称容量
やサイズは異なるが、電池[1]と同じX社製の回収電
池の特性から検証を行う。Q = -1095 × ln (R Im = 0 ) +6940 (1) Next, the effectiveness of the regression equation is verified by comparing it with the characteristics of a deteriorated battery that was actually used. Here, regarding the actual deteriorated battery of the battery [1], the Ni battery described above is used.
It has not been obtained so far because it takes a long time to produce a -Cd battery. Therefore, although the nominal capacity and the size are different, the verification is performed from the characteristics of the recovery battery manufactured by the same company X as the battery [1].
【0014】図3は、X社製で、公称電圧が1.2V、
公称容量が1800mAhの単2型トリクル用Ni−C
d電池[2]の内部インピーダンスの実数部rIm=0(虚
数部がゼロとなる周波数での実数部抵抗)と電池容量q
との関係を示す特性図である。電池容量および内部イン
ピーダンスは、電池[1]と同じ方法で求めた。ここで
もグラフは良好な直線関係を示しており、回帰式は次式
となる。FIG. 3 is manufactured by Company X and has a nominal voltage of 1.2V.
Ni-C for single 2 type trickle with nominal capacity of 1800mAh
d Real part of internal impedance of battery [2] r Im = 0 (real part resistance at frequency where imaginary part becomes zero) and battery capacity q
It is a characteristic view which shows the relationship with. The battery capacity and internal impedance were determined by the same method as for battery [1]. Here again, the graph shows a good linear relationship, and the regression equation is as follows.
【0015】
q=−491×ln(rIm=0)+3233 (2)
(1)式と(2)式を比較すると、どちらも式の形が、
Y=a×ln(X)+b (a,bは任意定数) (3)
となることで一致している。従って、電解液枯れが劣化
モードの場合の回帰式は、常に(3)式の形になるとみ
てよい。更に、電池[1]と電池[2]は同一メーカ製
のトリクル用電池であることから、電極、セパレータ等
の構成材料やその厚さ、多孔度等の設計が同じと考える
ことができる。この場合、図4に示すように、公称容量
や電池サイズによらず、未劣化状態からのインピーダン
ス増加の割合に対する電池容量低下の割合は等しいとみ
なすことができ、電池[1]の回帰式((1)式)から
電池[2]の回帰式の誘導が可能となる。まず、電池
[1]の未劣化状態(電解液量100%)での電池容量
をQ1 とし、電池[2]の未劣化状態の電池容量および
インピーダンスをそれぞれq1 、r1 とすれば、電池
[2]の誘導回帰式は次のようになる。
q’=−1095×(q1 /Q1 )×ln(rIm=0/r1 )+q1 (4)
ここで、Q1 については、図1の電解液量100%での
容量の平均値4962mAhとし、q1 およびr1 につ
いては、未劣化時の情報が不明であることから、図3の
円内の、電池容量が2200mAh以上を示したところ
の平均容量2383mAh=q1 、同円内の平均インピ
ーダンス6.60mΩ=r1 とする。これより、(4)
式は次のようになる。Q = −491 × ln (r Im = 0 ) +3233 (2) Comparing the equations (1) and (2), the equations are both Y = a × ln (X) + b (a , B are arbitrary constants) (3). Therefore, it can be considered that the regression equation when the electrolyte depletion is in the deterioration mode is always in the form of equation (3). Further, since the battery [1] and the battery [2] are trickle batteries manufactured by the same manufacturer, it can be considered that the constituent materials of the electrodes, the separators, etc., and their designs such as their thickness and porosity are the same. In this case, as shown in FIG. 4, the rate of decrease in battery capacity relative to the rate of increase in impedance from the undegraded state can be considered to be equal regardless of the nominal capacity and the battery size, and the regression equation of the battery [1] ( The regression equation of the battery [2] can be derived from the equation (1). First, if the battery capacity of the battery [1] in the undegraded state (electrolyte amount 100%) is Q 1, and the battery capacity and the impedance of the battery [2] in the undegraded state are q 1 and r 1 , respectively, The induction regression equation of the battery [2] is as follows. q ′ = − 1095 × (q 1 / Q 1 ) × ln (r Im = 0 / r 1 ) + q 1 (4) Here, Q 1 is the average of the capacities when the amount of the electrolytic solution is 100% in FIG. 1. The value is set to 4962 mAh, and regarding q 1 and r 1 , since undegraded information is unknown, the average capacity 2383 mAh = q 1 in the circle in FIG. 3 where the battery capacity is 2200 mAh or more, the same circle. The average impedance of the inside is 6.60 mΩ = r 1 . From this, (4)
The formula looks like this:
【0016】
q’=−526×ln(rIm=0)+3376 (5)
(5)式が電池[2]の誘導回帰式である。図5に、
(2)式および(5)式のグラフを示す。両グラフは良
く一致しており、特に、電池寿命の判定基準となる容量
50〜60%に対応するインピーダンスは、ほとんど同
じ値であることから、精度の高い寿命判定が可能であ
る。以上より、疑似劣化電池の回帰式を実際の劣化電池
に適用することの有効性が示されたとともに、該回帰式
が疑似劣化電池とは公称容量やサイズの異なる電池に対
しても有効となることが判った。Q ′ = − 526 × ln (r Im = 0 ) +3376 (5) The equation (5) is the induction regression equation of the battery [2]. In Figure 5,
The graph of Formula (2) and Formula (5) is shown. The two graphs are in good agreement, and in particular, the impedance corresponding to the capacity of 50 to 60%, which is the criterion for determining the battery life, has almost the same value, so that highly accurate life determination can be performed. From the above, the effectiveness of applying the regression formula of the pseudo-degraded battery to the actual deteriorated battery is shown, and the regression formula is also effective for the battery having a different nominal capacity or size from the pseudo-degraded battery. I knew that.
【0017】更に、周波数毎のインピーダンスの実数
部、あるいはインピーダンスの絶対値と電池容量との関
係を、相関係数を指標として評価すると、電池[1]お
よび電池[2]について、図6、図7の結果が得られ
た。両グラフで相関係数が0.9以上の高い相関性を示
す周波数範囲が観察される。従って、この範囲の周波数
でインピーダンスの実数部あるいはインピーダンスの絶
対値を求め、(3)式の形の回帰式を用いることにより
電池容量の推定が高い精度で行えることが判る。Further, when the relation between the real part of the impedance for each frequency or the absolute value of the impedance and the battery capacity is evaluated by using the correlation coefficient as an index, FIG. 6 and FIG. 7 results were obtained. In both graphs, a frequency range showing a high correlation with a correlation coefficient of 0.9 or more is observed. Therefore, it is understood that the battery capacity can be estimated with high accuracy by obtaining the real part of the impedance or the absolute value of the impedance in the frequency within this range and using the regression equation of the form (3).
【0018】[0018]
【発明の効果】以上述べたように本発明によれば、電解
液量を標準以下とした疑似劣化電池の特性から、実使用
電池に対する、内部インピーダンスと電池容量との間の
関係式を求めることができる。疑似劣化電池は、標準使
用の電池に対して注入する電解液量を変えるだけなの
で、極めて簡単に、しかも短時間で作製することができ
る。従って、従来の実劣化電池を回収あるいは作製する
方法に比べ、大幅な稼働の低減となる。As described above, according to the present invention, the relational expression between the internal impedance and the battery capacity for an actually used battery can be obtained from the characteristics of the pseudo-deteriorated battery in which the amount of electrolyte is below the standard. You can The pseudo-deteriorated battery can be manufactured extremely easily and in a short time because only the amount of the electrolytic solution to be injected is changed with respect to the standard battery. Therefore, compared with the conventional method of collecting or producing the actual deteriorated battery, the operation is significantly reduced.
【図1】本発明の実施例の電池[1]での、電解液量と
電池容量との関係を示す特性図である。FIG. 1 is a characteristic diagram showing the relationship between the amount of electrolyte and the battery capacity in a battery [1] of an example of the present invention.
【図2】本発明の実施例の電池[1]での、内部インピ
ーダンスの実数部と電池容量との関係を示す特性図であ
る。FIG. 2 is a characteristic diagram showing the relationship between the real part of the internal impedance and the battery capacity in the battery [1] of the example of the present invention.
【図3】本発明の実施例の電池[2]での、内部インピ
ーダンスの実数部と電池容量との関係を示す特性図であ
る。FIG. 3 is a characteristic diagram showing the relationship between the real part of the internal impedance and the battery capacity in the battery [2] of the example of the present invention.
【図4】本発明の公称容量や電池サイズの異なる電池間
での、内部インピーダンス実数部の変化に対する容量変
化を表わす概念図である。FIG. 4 is a conceptual diagram showing a change in capacity with respect to a change in real part of internal impedance between batteries having different nominal capacities and battery sizes according to the present invention.
【図5】本発明の実施例の(2)式および(5)式のグ
ラフである。FIG. 5 is a graph of equations (2) and (5) according to an embodiment of the present invention.
【図6】本発明の実施例の電池[1]での、内部インピ
ーダンスの実数部および内部インピーダンスの絶対値と
電池容量との間の相関係数の周波数依存性を示す特性図
である。FIG. 6 is a characteristic diagram showing the frequency dependence of the correlation coefficient between the real part of the internal impedance and the absolute value of the internal impedance and the battery capacity in the battery [1] of the example of the present invention.
【図7】本発明の実施例の電池[2]での、内部インピ
ーダンスの実数部および内部インピーダンスの絶対値と
電池容量との間の相関係数の周波数依存性を示す特性図
である。FIG. 7 is a characteristic diagram showing the frequency dependence of the correlation coefficient between the real part of the internal impedance and the absolute value of the internal impedance and the battery capacity in the battery [2] of the example of the present invention.
───────────────────────────────────────────────────── フロントページの続き (56)参考文献 特開 平7−37623(JP,A) 特開 平5−281309(JP,A) 特開 平5−281310(JP,A) 特開 平8−43506(JP,A) 特開 平8−88028(JP,A) 特公 平1−39068(JP,B2) (58)調査した分野(Int.Cl.7,DB名) H01M 10/42 - 10/48 G01R 31/36 ─────────────────────────────────────────────────── ─── Continuation of the front page (56) Reference JP-A-7-37623 (JP, A) JP-A-5-281309 (JP, A) JP-A-5-281310 (JP, A) JP-A-8- 43506 (JP, A) JP-A-8-88028 (JP, A) JP-B 1-339068 (JP, B2) (58) Fields investigated (Int.Cl. 7 , DB name) H01M 10/42-10 / 48 G01R 31/36
Claims (6)
−Cd電池の劣化状態の検知や電池容量の推定を行う方
法において、インピ−ダンスと電池容量との間の回帰式
を、該電池と同一規格で電解液量だけを標準以下として
作製した疑似劣化電池の特性から求めることを特徴とす
るトリクル用Ni−Cd電池の容量推定回帰式導出方
法。1. Internal impedance to trickle Ni
In a method of detecting a deterioration state of a Cd battery or estimating a battery capacity, a pseudo-deterioration in which a regression equation between the impedance and the battery capacity is prepared with the same standard as that of the battery and only the amount of electrolyte solution is below the standard. A method for deriving a capacity estimation regression formula for a trickle Ni-Cd battery, which is obtained from battery characteristics.
−Cd電池の劣化状態の検知や電池容量の推定を行う方
法において、インピ−ダンスと電池容量との間の回帰式
を、該電池と公称容量やサイズの異なる規格で電解液量
だけを標準以下として作製した疑似劣化電池の特性から
求めることを特徴とするトリクル用Ni−Cd電池の容
量推定回帰式導出方法。2. Internal impedance to trickle Ni
In a method of detecting a deterioration state of a Cd battery or estimating a battery capacity, a regression equation between the impedance and the battery capacity is calculated so that only the amount of electrolyte solution is below a standard according to a standard having a different nominal capacity or size from the battery. A method for deriving a capacity estimation regression formula for a trickle Ni-Cd battery, which is obtained from the characteristics of the pseudo-degraded battery manufactured as described above.
−Cd電池の劣化状態の検知や電池容量の推定を行う方
法において、内部インピ−ダンスの実数部ZReから電池
容量を推定することを特徴とする請求項1または2記載
のトリクル用Ni−Cd電池の容量推定回帰式導出方
法。3. Internal impedance to trickle Ni
-Cd In a method of detecting a deterioration state of a battery or estimating a battery capacity, the battery capacity is estimated from a real part Z Re of the internal impedance, and the Ni-Cd for trickle according to claim 1 or 2, wherein Battery capacity estimation regression equation derivation method.
−Cd電池の劣化状態の検知や電池容量の推定を行う方
法において、内部インピ−ダンスの実数部ZReと電池容
量Qとの間の回帰式を、 Q=a×ln(ZRe)+b (a,bは任意定数) の形とすることを特徴とする請求項3記載のトリクル用
Ni−Cd電池の容量推定回帰式導出方法。4. An internal impedance to trickle Ni
In the method of detecting the deterioration state of the Cd battery and estimating the battery capacity, the regression equation between the real part Z Re of the internal impedance and the battery capacity Q is Q = a × ln (Z Re ) + b ( The method for deriving a capacity estimation regression formula for a trickle Ni-Cd battery according to claim 3, wherein a and b are in the form of an arbitrary constant.
−Cd電池の劣化状態の検知や電池容量の推定を行う方
法において、内部インピ−ダンスの絶対値|ZRe+ZIm
|から電池容量を推定することを特徴とする請求項1ま
たは2記載のトリクル用Ni−Cd電池の容量推定回帰
式導出方法。5. An internal impedance to trickle Ni
-Cd In the method of detecting the deterioration state of the battery and estimating the battery capacity, the absolute value of the internal impedance | Z Re + Z Im
The battery capacity is estimated from |, and the capacity estimation regression equation derivation method of the trickle Ni-Cd battery according to claim 1 or 2.
−Cd電池の劣化状態の検知や電池容量の推定を行う方
法において、内部インピ−ダンスの絶対値|ZRe+ZIm
|と電池容量Qとの間の回帰式を、 Q=a×ln|ZRe+ZIm|+b (a,bは任意定数) の形とすることを特徴とする請求項5記載のトリクル用
Ni−Cd電池の容量推定回帰式導出方法。6. An internal impedance to trickle Ni
-Cd In the method of detecting the deterioration state of the battery and estimating the battery capacity, the absolute value of the internal impedance | Z Re + Z Im
6. The trickle Ni according to claim 5, wherein the regression equation between | and the battery capacity Q is in the form of Q = a × ln | Z Re + Z Im | + b (a and b are arbitrary constants). -Cd battery capacity estimation regression equation derivation method.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP04853995A JP3385780B2 (en) | 1995-03-08 | 1995-03-08 | Method for deriving regression equation for estimating capacity of Ni-Cd battery for trickle |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP04853995A JP3385780B2 (en) | 1995-03-08 | 1995-03-08 | Method for deriving regression equation for estimating capacity of Ni-Cd battery for trickle |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPH08250160A JPH08250160A (en) | 1996-09-27 |
| JP3385780B2 true JP3385780B2 (en) | 2003-03-10 |
Family
ID=12806181
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP04853995A Expired - Lifetime JP3385780B2 (en) | 1995-03-08 | 1995-03-08 | Method for deriving regression equation for estimating capacity of Ni-Cd battery for trickle |
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| Country | Link |
|---|---|
| JP (1) | JP3385780B2 (en) |
Families Citing this family (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| DE10345057B4 (en) * | 2003-09-26 | 2005-09-15 | Rheinisch-Westfälisch-Technische Hochschule Aachen | Method and device for determining the state of charge of a battery |
| JP2007333494A (en) * | 2006-06-14 | 2007-12-27 | Shikoku Electric Power Co Inc | Storage battery deterioration diagnosis method and deterioration diagnosis apparatus |
| JP5851965B2 (en) * | 2012-10-02 | 2016-02-03 | 株式会社日立製作所 | Discharge capacity prediction apparatus, program, and battery manufacturing method |
| JP6048448B2 (en) * | 2014-05-22 | 2016-12-21 | トヨタ自動車株式会社 | Method for determining reusable product application of used secondary battery and reconfiguring assembled battery reassembled product |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS56126776A (en) * | 1980-03-10 | 1981-10-05 | Toyota Motor Corp | Detecting method for capacity of battery for automobile |
| JPH05281310A (en) * | 1992-01-24 | 1993-10-29 | Nippon Telegr & Teleph Corp <Ntt> | Degradation state detection method and deterioration state detector for lead acid battery |
| JP3192794B2 (en) * | 1992-02-03 | 2001-07-30 | 日本電信電話株式会社 | Lead storage battery deterioration judgment method and deterioration judgment device |
| JP3410158B2 (en) * | 1993-07-21 | 2003-05-26 | 日本電信電話株式会社 | Lead storage battery deterioration judgment method and deterioration judgment device |
| JPH0843506A (en) * | 1994-08-02 | 1996-02-16 | Nippon Telegr & Teleph Corp <Ntt> | Degradation state detection method for nickel-based batteries |
| JPH0888028A (en) * | 1994-09-14 | 1996-04-02 | Yamaha Motor Co Ltd | Secondary battery capacity check method |
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| Publication number | Publication date |
|---|---|
| JPH08250160A (en) | 1996-09-27 |
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