JP2005083798A - Method of detecting battery condition - Google Patents

Method of detecting battery condition Download PDF

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JP2005083798A
JP2005083798A JP2003313817A JP2003313817A JP2005083798A JP 2005083798 A JP2005083798 A JP 2005083798A JP 2003313817 A JP2003313817 A JP 2003313817A JP 2003313817 A JP2003313817 A JP 2003313817A JP 2005083798 A JP2005083798 A JP 2005083798A
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battery
double layer
current
layer capacity
voltage
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JP4572518B2 (en
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Keizo Yamada
惠造 山田
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Resonac Corp
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Shin Kobe Electric Machinery Co Ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/36Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
    • G01R31/378Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC] specially adapted for the type of battery or accumulator
    • G01R31/379Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC] specially adapted for the type of battery or accumulator for lead-acid batteries
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/36Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
    • G01R31/389Measuring internal impedance, internal conductance or related variables

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Tests Of Electric Status Of Batteries (AREA)
  • Secondary Cells (AREA)

Abstract

<P>PROBLEM TO BE SOLVED: To provide a battery condition detecting method for detecting a battery condition accurately. <P>SOLUTION: A resistance R1 of a lead-acid battery is found on the basis of a direct current pulse current and a battery voltage (S104), substitution by two sets of data (I, dE/dt, dI/dt) and the resistance R1 is carried out in Expression I=f(E-IR)+C(dE/dt)-RC(dI/dt) to find a double layer capacity C1, where R represents an internal resistance, I represents the current, E represents the voltage, f is a function of known (E-RI) expressing a Faraday current, C represents the double layer capacity, and t is a time, the electric double layer capacity C1 is determined as the double layer capacity C when an absolute value of a difference between the double layer capacities C1, C2 is less than a prescribed value (S110), and the found double layer capacity is applied to a preliminarily found SOH-C map to detect an SOH of the lead-acid battery (S118). A large current characteristic in engine start is reflected onto the SOH detection. <P>COPYRIGHT: (C)2005,JPO&NCIPI

Description

本発明は、電池状態検知方法に係り、特に、電池の二重層容量と電池状態との関係から電池状態を検知する電池状態検知方法に関する。   The present invention relates to a battery state detection method, and more particularly, to a battery state detection method for detecting a battery state from a relationship between a battery double layer capacity and a battery state.

従来、電池の内部抵抗、放電電圧、開回路電圧などは、劣化状態や充電状態などの電池状態の判断材料として用いられ、自動車、携帯機器などの高性能化に伴ってそれらに使用される電池の負荷が大きくなるに従い、近年、電池状態監視や電池状態制御の重要性がますます大きくなってきている。   Conventionally, the internal resistance, discharge voltage, open circuit voltage, etc. of a battery are used as materials for judging the battery state such as a deteriorated state or a charged state, and the battery used for the performance improvement of automobiles, portable devices, etc. In recent years, the importance of battery state monitoring and battery state control has been increasing as the load on the battery increases.

自動車用の電池においては、排ガスの削減のために行われているアイドルストップ・スタートやエネルギー効率を高めるため行われている回生充電などに対応するため、これらの用途に適した電池状態に電池を保つ技術が望まれている。電気二重層容量は、電池の充電状態(SOC)や劣化状態(SOH)に依存するため、SOCやSOHが電池状態の指標として用いられる。鉛電池はこれらの用途に応用できる電池の代表的なもののひとつである。   In the case of automobile batteries, in order to cope with idling stop / start, which is performed to reduce exhaust gas, and regenerative charging, which is performed to increase energy efficiency, the battery is put into a battery state suitable for these applications. The technology to keep is desired. Since the electric double layer capacity depends on the state of charge (SOC) or deterioration (SOH) of the battery, SOC or SOH is used as an indicator of the battery state. Lead batteries are one of the typical batteries that can be applied to these applications.

電気二重層容量を電池状態検知に利用する場合には、交流法で電気二重層容量を測定する方法が一般的である(例えば、特許文献1参照)。このような交流法では、電流に正弦波などの規則的な波形を重畳し、その応答を解析する。   When the electric double layer capacity is used for battery state detection, a method of measuring the electric double layer capacity by an alternating current method is common (see, for example, Patent Document 1). In such an AC method, a regular waveform such as a sine wave is superimposed on the current, and the response is analyzed.

特開2001−235525号公報JP 2001-235525 A

しかしながら、交流法を電池に適用して電気二重層容量を求めると、電流依存性が大いことが分かる。これは、電流が大きくなると電極反応が起こる有効電極面積が狭くなることに起因する。特に電池の劣化が進行すると、有効電極面積の電流依存性は大きくなる。また、電池状態検知に使用されている交流法の装置では、コストなどの制約のため、通常、重畳される電流波の振幅は10A以下の小さい電流である。実際に、例えば、車両で問題となるのはエンジン始動時のような大電流(例えば、500A)での電池の出力特性であり、小さい電流で電気二重層容量を測定したとしても、正確な電池状態を検知(推定)することはできない。   However, when the AC method is applied to the battery to determine the electric double layer capacity, it can be seen that the current dependency is large. This is due to the fact that the effective electrode area where the electrode reaction occurs becomes narrower as the current increases. In particular, as the battery deteriorates, the current dependency of the effective electrode area increases. In addition, in an AC method apparatus used for battery state detection, the amplitude of a superimposed current wave is usually a small current of 10 A or less due to cost and other restrictions. Actually, for example, the problem with a vehicle is the output characteristics of the battery at a large current (for example, 500 A) as when the engine is started. Even if the electric double layer capacity is measured at a small current, an accurate battery The state cannot be detected (estimated).

本発明は、上記事案に鑑み、正確に電池状態を検知可能な電池状態検知方法を提供することを課題とする。   In view of the above-described case, an object of the present invention is to provide a battery state detection method capable of accurately detecting a battery state.

上記課題を解決するために、本発明は、電池から供給される直流パルス電流及び電池電圧から前記電池の二重層容量を求め、予め求めていた二重層容量と電池状態との関係から前記電池の電池状態を検出することを特徴とする。   In order to solve the above-mentioned problem, the present invention obtains the double layer capacity of the battery from the DC pulse current and the battery voltage supplied from the battery, and determines the battery from the relationship between the double layer capacity obtained in advance and the battery state. A battery state is detected.

本発明では、二重層容量を測定するために電池から供給される直流パルス電流及び電池電圧を用いるため、電池の二重層容量を求めるときに、例えば、エンジン始動時のような大電流特性が二重層容量の計算に反映されるので、電池状態に拘わらず電池の二重層容量を正確に求めることができると共に、交流電源を必要としないため、小型化、低コスト化を図ることができる。   In the present invention, the DC pulse current and the battery voltage supplied from the battery are used to measure the double layer capacity. Therefore, when determining the double layer capacity of the battery, for example, a large current characteristic such as when the engine is started is Since it is reflected in the calculation of the multi-layer capacity, the double-layer capacity of the battery can be accurately obtained regardless of the battery state, and an AC power source is not required, so that a reduction in size and cost can be achieved.

本発明において、直流パルス電流及び電池電圧から電池の内部抵抗を求め、内部抵抗をR、直流パルス電流をI、電池電圧をE、ファラデー電流を表す(E−IR)の関数をf、二重層容量をC、時間をtとしたときに、下式(1)に複数組のデータ(I、dE/dt、dI/dt)と内部抵抗Rとを代入して二重層容量を求めるようにしてもよい。   In the present invention, the internal resistance of the battery is obtained from the direct current pulse current and the battery voltage, the internal resistance is R, the direct current pulse current is I, the battery voltage is E, the function of (E-IR) representing the Faraday current is f, and the double layer When the capacity is C and the time is t, the double layer capacity is obtained by substituting a plurality of sets of data (I, dE / dt, dI / dt) and the internal resistance R into the following equation (1). Also good.

この場合に関数fが既知であるとき、(E−IR)の値が同じ2組のデータ(I、dE/dt、dI/dt)と内部抵抗Rとを式(1)に代入して第1二重層容量を求め、(E−IR)の値が同じ別の2組のデータ(I、dE/dt、dI/dt)と内部抵抗Rとを式(1)に代入して第2二重層容量を求め、第1、第2二重層容量の差の絶対値が所定値未満のときに、第1二重層容量、第2二重層容量又は第1、第2二重層容量間の任意の値を電池の二重層容量として求めるようにしてもよい。このような任意の値の例として、(第1二重層容量+第2二重層容量)/2で求まる中間値を挙げることができる。   In this case, when the function f is known, two sets of data (I, dE / dt, dI / dt) having the same value of (E-IR) and the internal resistance R are substituted into the equation (1) and 1 Double layer capacitance is obtained, and another two sets of data (I, dE / dt, dI / dt) having the same value of (E-IR) and the internal resistance R are substituted into the equation (1) to obtain the second second When the absolute value of the difference between the first and second double layer capacitances is less than a predetermined value, the first double layer capacitance, the second double layer capacitance, or any of the first and second double layer capacitances is obtained. The value may be obtained as the double layer capacity of the battery. As an example of such an arbitrary value, an intermediate value obtained by (first double layer capacity + second double layer capacity) / 2 can be given.

また、本発明において、時間が一定の異なる時刻で測定した2つの電池電圧の差から電池の電圧変化量を求め、電圧変化量の絶対値が所定値以上かつ所定時間以上持続したときに電圧変化量を所定時間での電流変化量で除すことで電池の内部抵抗を求めて直流パルス電流の積算を開始し、所定時間経過後の別の異なる時刻で測定した2つの電池電圧の差から電池の電圧変化量を求め、該電圧変化量の絶対値が所定値未満かつ所定時間以上持続したときに直流パルス電流の積算を終了し、積算した積算電流値を積算時間での電圧変化量で除して電池の二重層容量を求めるようにしてもよい。なお、2つの電池電圧の差から電池の電圧変化量を求めるときに、電圧低下速度(=電圧変化量/異なる時刻間の時間)を用いるようにしてもよい。   In the present invention, the voltage change amount of the battery is obtained from the difference between two battery voltages measured at different times, and the voltage change occurs when the absolute value of the voltage change amount is longer than a predetermined value and longer than a predetermined time. By dividing the amount by the amount of current change at a predetermined time, the internal resistance of the battery is obtained and integration of DC pulse current is started, and the battery is calculated from the difference between two battery voltages measured at different times after the predetermined time has elapsed. When the absolute value of the voltage change is less than a predetermined value and continues for a predetermined time or longer, the integration of the DC pulse current is terminated, and the integrated integrated current value is divided by the voltage change over the integration time. Thus, the double layer capacity of the battery may be obtained. It should be noted that the voltage drop rate (= voltage change amount / time between different times) may be used when obtaining the voltage change amount of the battery from the difference between the two battery voltages.

本発明によれば、二重層容量を測定するために電池から供給される直流パルス電流及び電池電圧を用いるため、電池の二重層容量を求めるときに、例えば、エンジン始動時のような大電流特性が二重層容量の計算に反映されるので、電池状態に拘わらず電池の二重層容量を正確に求めることができると共に、交流電源を必要としないため、小型化、低コスト化を図ることができる、という効果を得ることができる。   According to the present invention, since the DC pulse current and the battery voltage supplied from the battery are used to measure the double layer capacity, when determining the double layer capacity of the battery, for example, a large current characteristic such as when starting an engine. Is reflected in the calculation of the double layer capacity, so that the double layer capacity of the battery can be accurately obtained regardless of the battery state, and since no AC power supply is required, the size and cost can be reduced. The effect that can be obtained.

本発明は、(1)電池から供給される直流パルス電流及び電池電圧から電池の電気二重層容量(以下、二重層容量という。)を測定し、(2)予め求めていた二重層容量と電池状態との関係から電池の電池状態を検知する。   In the present invention, (1) an electric double layer capacity (hereinafter referred to as a double layer capacity) of a battery is measured from a DC pulse current and a battery voltage supplied from the battery, and (2) a double layer capacity and a battery obtained in advance. The battery state of the battery is detected from the relationship with the state.

(1)二重層容量の測定
電圧は電気二重層に充電される時間だけ電流よりも遅れる傾向にあるため、この遅延時間から電池の二重層容量を算出する。非線形抵抗と二重層容量との等価回路を仮定すると、電池を流れる直流電流Iと電池電圧Eとには下式(1)の関係が成り立つ。ここで、Rは電池の内部抵抗、fはファラデー電流を表す(E−IR)の関数、Cは正負極合わせた電池として観察される電気二重層容量、tは時間である。電流Iは充電電流を正、放電電流を負として表す。なお、式(1)は、電圧Eを電池の分極ΔEに置き換えても成立する。
(1) Measurement of double layer capacity Since the voltage tends to be delayed from the current by the time charged in the electric double layer, the double layer capacity of the battery is calculated from this delay time. Assuming an equivalent circuit of a non-linear resistance and a double layer capacity, the relationship of the following formula (1) is established between the direct current I flowing through the battery and the battery voltage E. Here, R is the internal resistance of the battery, f is a function of (E-IR) representing the Faraday current, C is the electric double layer capacity observed as a battery with the positive and negative electrodes combined, and t is time. Current I represents charging current as positive and discharging current as negative. Note that equation (1) holds even if the voltage E is replaced with the battery polarization ΔE.

実測パラメータは、I、dE/dt、dI/dtであり、これらによって関数f、内部抵抗R、二重層容量Cを算出する。関数fは予めIV測定など別の方法で求めることが可能なため、予め関数fを用意しておいてもよい。式(1)では、例えば電圧Eが同じ値のデータを3組用意する必要があるが、予め関数fが与えられている場合には求めるパラメータが減るので、電圧Eが同じ値の2組のデータを用意するだけでよい。   The actual measurement parameters are I, dE / dt, and dI / dt, and the function f, the internal resistance R, and the double layer capacitance C are calculated based on these parameters. Since the function f can be obtained in advance by another method such as IV measurement, the function f may be prepared in advance. In the formula (1), for example, three sets of data having the same voltage E need to be prepared. However, when the function f is given in advance, the number of parameters to be obtained is reduced. Just prepare the data.

遅延時間を正確に求めるには、ピーク電流値が大きく電流の変化速度の絶対値の大きいパルス電流波形が適している(図3参照)。従って、エンジン始動時は二重層容量を求めるのに適したタイミングの一つである。エンジン始動時以外にも好適なタイミングが考えられ、例えば、モータ補助の機能のある車両では発進時のモータ負荷電流の立上りや立下りのタイミングの波形を構成するデータを二重層容量の算出に利用するようにしてもよい。   In order to accurately determine the delay time, a pulse current waveform having a large peak current value and a large absolute value of the current change rate is suitable (see FIG. 3). Therefore, it is one of the timings suitable for obtaining the double layer capacity when starting the engine. Suitable timing other than when the engine is started can be considered.For example, in a vehicle with a motor assist function, the data constituting the waveform of the rising and falling timings of the motor load current at the start is used to calculate the double layer capacity You may make it do.

また、電流I、電圧Eの測定タイミングを限定し、内部抵抗Rを他のパラメータから独立して測定するようにしてもよい。パルス放電開始後の電気量が二重層容量Cよりも十分小さいとき、すなわち、パルス放電の電圧の立下り始めのタイミングでは、内部抵抗Rは下式(2)により計算することができる。   Further, the measurement timing of the current I and the voltage E may be limited, and the internal resistance R may be measured independently from other parameters. When the amount of electricity after the start of the pulse discharge is sufficiently smaller than the double layer capacitance C, that is, at the timing when the pulse discharge voltage starts to fall, the internal resistance R can be calculated by the following equation (2).

電流Iが電気二重層の充放電電流の殆どの場合に、二重層容量Cは、下式(3)により計算することができる。このような条件の厳格な判断は簡単ではないが、通常観察される二重層容量Cとエンジン始動波形を構成するデータとから、観察される電圧パルスのピーク手前の時間までは、式(3)が成立する。   When the current I is almost the charge / discharge current of the electric double layer, the double layer capacity C can be calculated by the following equation (3). Although strict judgment of such conditions is not easy, from the normally observed double layer capacity C and the data constituting the engine start waveform to the time before the peak of the observed voltage pulse, the expression (3) Is established.

(2)電池状態の検知
電池状態の検知対象となる電池と同一仕様・型式の電池の電池状態と二重層容量Cとの対応関係は、例えば、図5、図7に示すように、予め求めておくことができる。図5に示す対応関係は劣化状態(SOH)と二重層容量C(Cd)との関係を示し、図7に示す対応関係は充電状態(SOC)と二重層容量C(Cd)との関係を示したものである。実際にこのような対応を得るには、新品状態から劣化した状態へ移行する電池の電池状態(SOH、SOC等)を公知の方法で測定し、その電池状態での二重層容量Cをエンジン始動時等の直流電流、電圧データから演算して(後述する図2のステップ112、図4のステップ166参照)、SOH−C又はSOC−Cの対応を図ればよい。ここで、SOHは、その劣化状態での満充電容量の初期満充電容量に対する割合である。
(2) Battery status detection The correspondence between the battery status of the battery of the same specification and model as the battery status detection target and the double layer capacity C is obtained in advance as shown in FIGS. 5 and 7, for example. I can keep it. The correspondence shown in FIG. 5 shows the relationship between the deterioration state (SOH) and the double layer capacitance C (Cd), and the correspondence shown in FIG. 7 shows the relationship between the state of charge (SOC) and the double layer capacitance C (Cd). It is shown. Actually, in order to obtain such a measure, the battery state (SOH, SOC, etc.) of the battery that transitions from a new state to a deteriorated state is measured by a known method, and the double layer capacity C in that battery state is started by the engine. It may be calculated from DC current and voltage data such as time (see step 112 in FIG. 2 and step 166 in FIG. 4 to be described later) to cope with SOH-C or SOC-C. Here, SOH is a ratio of the full charge capacity in the deteriorated state to the initial full charge capacity.

なお、図5には、SOH−Cの対応関係の他に、二重層容量Cを測定したときのSOHに対応する内部抵抗Rについても測定(演算)結果を示している。SOHが高い領域で内部抵抗RのSOH依存性は低く電池のSOH検知(演算)に使用することが困難なのに対し、直流パルスでの電流・電圧データから演算した二重層容量Cは広い範囲でSOH依存性が大きく、SOH検知に適している。また、図7には、SOC−Cの対応関係の他に、二重層容量Cを測定したときのSOCに対応する内部抵抗Rについても測定結果を示している。この方法では電圧が立ち下がる最初の部分から内部抵抗Rを求めることができ、このようにして求まる内部抵抗RはSOC依存性が高く電池のSOC検出に利用できる。図7では、同じ二重層容量Cの値で2つのSOC状態が存在しうるが、例えば、別途電池の開回路電圧を測定して充電状態が高い領域にあるか低い領域にあるかを限定すれば、二重層容量CもSOC検出に利用できる。二重層容量Cの大きさやSOC依存性は測定時間スケール、電流や電池の設計によって異なり、電池や搭載車両の型式によってはSOCに対して二重層容量Cが単調増加や単調減少の傾向を示す場合がある。その場合は開回路電圧によって充電状態が高い領域か低い領域かを限定する必要はない。   In addition to the correspondence relationship of SOH-C, FIG. 5 also shows the measurement (calculation) results for the internal resistance R corresponding to SOH when the double layer capacitance C is measured. While the SOH dependency of the internal resistance R is low in a region where the SOH is high, it is difficult to use it for SOH detection (calculation) of the battery, whereas the double layer capacitance C calculated from the current / voltage data in the DC pulse has a wide range. It is highly dependent and suitable for SOH detection. In addition to the SOC-C correspondence relationship, FIG. 7 also shows the measurement results for the internal resistance R corresponding to the SOC when the double layer capacitance C is measured. In this method, the internal resistance R can be obtained from the first part where the voltage falls, and the internal resistance R thus obtained is highly SOC-dependent and can be used for detecting the SOC of the battery. In FIG. 7, there can be two SOC states with the same double layer capacity C value. For example, the open circuit voltage of the battery is separately measured to limit whether the state of charge is in a high region or a low region. For example, the double layer capacitance C can also be used for SOC detection. The size and SOC dependency of the double layer capacity C varies depending on the measurement time scale, current, and battery design, and the double layer capacity C tends to monotonically increase or decrease with respect to the SOC depending on the battery and the type of vehicle. There is. In that case, it is not necessary to limit whether the state of charge is high or low depending on the open circuit voltage.

このような対応関係は、例えばマップ(テーブル)又は関係式として、電池状態の検知対象となる電池や当該電池を制御する制御システムに、ハードウエア(例えば、複数の抵抗及びツェナーダイオードを含む記憶回路)又はソフトウエア(例えば、ROMへの書き込み)として構成することができる。   Such a correspondence relationship is represented, for example, as a map (table) or a relational expression by a battery (for example, a memory circuit including a plurality of resistors and a Zener diode) in a battery that is a battery state detection target or a control system that controls the battery. ) Or software (eg, writing to ROM).

電池状態を検知するには、上述した二重層容量Cの計算値を、マイクロコンピュータ等により電池の電池状態と二重層容量Cとの対応関係に当てはめて検知対象となる電池のSOHやSOC等の電池状態を検出する。   To detect the battery state, the calculated value of the double layer capacity C described above is applied to the correspondence between the battery state of the battery and the double layer capacity C by a microcomputer or the like, and the SOH, SOC, etc. of the battery to be detected Detect battery status.

なお、本実施形態の電池状態検知方法は汎用性のある二重層容量測定方法であり、鉛電池のほか、リチウム電池等の各種電池の電池状態検知に利用したり、工業電解用電極などの電気化学装置の評価に用いることも可能である。   Note that the battery state detection method of the present embodiment is a versatile double layer capacity measurement method that can be used for battery state detection of various batteries such as a lithium battery in addition to a lead battery, or an electrical electrode such as an electrode for industrial electrolysis. It can also be used for evaluation of chemical equipment.

以下、上記実施形態に従って、本発明を車両のアイドルストップ・スタート(ISS)を制御するISS制御システムに適用した実施例について説明する。実施例の車両の始動電流は約500Aである。なお、比較のために比較例についても併記する。   Hereinafter, an embodiment in which the present invention is applied to an ISS control system for controlling idle stop / start (ISS) of a vehicle will be described in accordance with the above embodiment. The starting current of the vehicle of the embodiment is about 500A. For comparison, a comparative example is also shown.

(実施例1)
図1に示すように、本実施例のISS制御システム11は、6セル直列のベント式鉛電池1に流れる電流を検出するホール素子等の電流センサ7及び鉛電池1の劣化状態(SOH)を演算するマイクロコンピュータ(以下、マイコンと略称する。)8を有した電池状態検知ユニット6を備えている。
(Example 1)
As shown in FIG. 1, the ISS control system 11 according to the present embodiment is configured to determine the deterioration state (SOH) of the current sensor 7 such as a Hall element that detects the current flowing through the bent lead battery 1 in series with six cells and the lead battery 1. A battery state detection unit 6 having a microcomputer (hereinafter simply referred to as a microcomputer) 8 for calculation is provided.

鉛電池1には公称12V55Ahのものを用いた。鉛電池1の上蓋には、電池外部へ電力を供給するためのロッド状正極端子及び負極端子が立設されている。電池状態検知ユニット6は、ベント栓から離れた側の鉛電池1の側面に固着されている。   A lead battery 1 having a nominal value of 12V55Ah was used. A rod-shaped positive terminal and a negative terminal for supplying electric power to the outside of the battery are erected on the upper cover of the lead battery 1. The battery state detection unit 6 is fixed to the side surface of the lead battery 1 on the side away from the vent plug.

鉛電池1の正極端子は、電流センサ7を介してイグニッションスイッチ(以下、IGNスイッチという。)9の中央端子に接続されている。IGNスイッチ9は中央端子とは別にOFF端子、ON/ACC端子及びSTART端子を有しており、ロータリー式に切り替え接続が可能である。   A positive terminal of the lead battery 1 is connected to a central terminal of an ignition switch (hereinafter referred to as IGN switch) 9 through a current sensor 7. The IGN switch 9 has an OFF terminal, an ON / ACC terminal, and a START terminal in addition to the center terminal, and can be switched and connected in a rotary manner.

マイコン8は、中央演算処理装置として機能するCPU、電池状態検知ユニット6の基本制御プログラム、図5に示したSOCと二重層容量Cとの関係マップ等を記憶したROM、CPUのワークエリアとして働くRAM等を含んで構成されている。なお、マイコン8は、I/Oを介して上位の車両側マイコン10と通信可能である。   The microcomputer 8 functions as a CPU that functions as a central processing unit, a basic control program for the battery state detection unit 6, a ROM that stores a relationship map between the SOC and the double layer capacity C shown in FIG. It includes a RAM and the like. Note that the microcomputer 8 can communicate with the host vehicle-side microcomputer 10 via the I / O.

電流センサ7の出力端子はマイコン8に内蔵されたA/Dコンバータに接続されており、電流センサ7から出力されたホール電圧はA/Dコンバータでデジタル値に変換され、マイコン8は鉛電池1に流れる電流Iをデジタル値として取り込むことができる。また、鉛電池1の正負極端子はマイコン8に内蔵された別のA/Dコンバータに接続されており、マイコン8は鉛電池1の電圧をデジタル値で取り込むことができる。なお、電池状態検知ユニット6はこのような配線を含んで構成されている。   The output terminal of the current sensor 7 is connected to an A / D converter built in the microcomputer 8, and the Hall voltage output from the current sensor 7 is converted into a digital value by the A / D converter. The current I flowing through can be captured as a digital value. Also, the positive and negative terminals of the lead battery 1 are connected to another A / D converter built in the microcomputer 8, and the microcomputer 8 can take in the voltage of the lead battery 1 as a digital value. The battery state detection unit 6 includes such wiring.

一方、車両側には、図示しないクラッチ機構を介してエンジン4の回転軸に回転駆動力を伝達させエンジン4を始動させるスタータ3が配されている。また、エンジン4の回転軸は、不図示のクラッチ機構を介して発電機2に動力の伝達が可能であり、エンジン4が回転状態にあるときは、このクラッチ機構を介して発電機2が作動し発電機2からの電力がエアコン、ラジオ等の補機5乃至鉛電池1に供給(充電)される。このようなエンジン制御は車両側マイコン10により実行される。   On the other hand, a starter 3 for starting the engine 4 by transmitting the rotational driving force to the rotating shaft of the engine 4 via a clutch mechanism (not shown) is disposed on the vehicle side. Further, the rotation shaft of the engine 4 can transmit power to the generator 2 via a clutch mechanism (not shown). When the engine 4 is in a rotating state, the generator 2 is operated via this clutch mechanism. Then, the electric power from the generator 2 is supplied (charged) to the auxiliary machine 5 such as an air conditioner and a radio or the lead battery 1. Such engine control is executed by the vehicle-side microcomputer 10.

IGNスイッチ9のON/ACC端子は、補機5及び一方向への電流の流れを許容する整流素子を介して発電機2の一端に接続されている。また、START端子はスタータ3の一端に接続されている。更に、発電機2、スタータ3及び補機5の他端、鉛電池1の負極端子及びマイコン8は、それぞれグランドに接続されている。   The ON / ACC terminal of the IGN switch 9 is connected to one end of the generator 2 through the auxiliary machine 5 and a rectifying element that allows current flow in one direction. The START terminal is connected to one end of the starter 3. Furthermore, the other end of the generator 2, the starter 3 and the auxiliary machine 5, the negative terminal of the lead battery 1, and the microcomputer 8 are connected to the ground, respectively.

次に、電池状態検知ユニット6を構成するマイコン8のCPU(以下、単にCPUという。)の動作を中心にISS制御システム11の動作について説明する。   Next, the operation of the ISS control system 11 will be described focusing on the operation of the CPU (hereinafter simply referred to as CPU) of the microcomputer 8 constituting the battery state detection unit 6.

CPUは、まず、電流センサ7に流れる電流Iが所定値(例えば、0.1A)以上か否かを判断することにより、IGNスイッチ9がSTART位置に位置するか否かを判断する。否定判断のときは電流センサ7に流れる電流Iが0.1A以上となるまで待機し、肯定判断のときは図2に示す電池状態検知ルーチンを実行する。   The CPU first determines whether or not the IGN switch 9 is located at the START position by determining whether or not the current I flowing through the current sensor 7 is greater than or equal to a predetermined value (for example, 0.1 A). When a negative determination is made, the process waits until the current I flowing through the current sensor 7 becomes 0.1 A or more. When an affirmative determination is made, a battery state detection routine shown in FIG. 2 is executed.

図3は、エンジン始動時の電流Iについての測定結果を模式的に示したものである。エンジン始動時の鉛電池1の電流波形は、IGNスイッチ9がSTART位置に位置したエンジン始動電流通電開始時(時刻ts)の後、スタータ3への急激な1段目のパルス放電が行われ、電流波形は急激な立下りとなり約50ms経過後にピークが現れる(時刻tp)。その後、減衰する数回の増減を経てエンジン始動が完了する。電流波形は、エンジン4の構造、エンジン4とスタータ3とを繋ぐクラッチの摩擦等に影響されるが、概ね図3に示すような波形となる。   FIG. 3 schematically shows a measurement result of the current I at the time of engine start. The current waveform of the lead battery 1 at the start of the engine is such that after the start of energization of the engine start current when the IGN switch 9 is located at the START position (time ts), a rapid first-stage pulse discharge to the starter 3 is performed. The current waveform falls sharply and a peak appears after about 50 ms (time tp). After that, the engine start is completed after a few attenuations. Although the current waveform is affected by the structure of the engine 4, the friction of the clutch connecting the engine 4 and the starter 3, etc., the waveform is generally as shown in FIG.

図2に示すように、電池状態検知ルーチンでは、ステップ102において、電流センサ7から出力されたホール電圧及び鉛電池1の両端電圧をデジタル値として取り込みRAMに記憶することで、エンジン始動時のパルス全体の電流I、電圧Eの経時変化を測定する。   As shown in FIG. 2, in the battery state detection routine, in step 102, the Hall voltage output from the current sensor 7 and the voltage between both ends of the lead battery 1 are captured as digital values and stored in the RAM. The change over time of the entire current I and voltage E is measured.

次のステップ104で、抵抗R1、最大部抵抗Rmaxを、R1=Rmax=(パルス前電圧−ピーク電圧)/(パルス前電流−ピーク電流)により演算する。次にステップ106で(E−IR1)が同じ値の2組のデータを下式(1a)に代入して二重層容量C1を演算し、ステップ108で(E−IR1)が同じ値の別の2組のデータを下式(1b)に代入して二重層容量C2を演算を演算する。   In the next step 104, the resistance R1 and the maximum resistance Rmax are calculated by R1 = Rmax = (voltage before pulse−peak voltage) / (current before pulse−peak current). Next, in step 106, two sets of data having the same value (E-IR1) are substituted into the following equation (1a) to calculate the double layer capacitance C1, and in step 108, another value having the same value (E-IR1) is calculated. Two sets of data are substituted into the following equation (1b) to calculate the double layer capacitance C2.

次にステップ110において、(二重層容量C1−二重層容量C2)の絶対値が所定値ΔC(例えば、0.1(F))より小さいか否かを判断する。否定判断のときはステップ114へ進み、肯定判断のときは次のステップ112で、鉛電池1の内部抵抗Rを抵抗R1、電気二重層容量Cを二重層容量C1、所定値ΔCを(二重層容量C1−二重層容量C2)として記憶してステップ114へ進む。   Next, in step 110, it is determined whether or not the absolute value of (double layer capacitance C1−double layer capacitance C2) is smaller than a predetermined value ΔC (for example, 0.1 (F)). When a negative determination is made, the process proceeds to step 114, and when an affirmative determination is made, in the next step 112, the internal resistance R of the lead battery 1 is the resistance R1, the electric double layer capacity C is the double layer capacity C1, and the predetermined value ΔC is (double layer). Store as capacitance C1-double layer capacitance C2) and go to step 114.

ステップ114では抵抗R1={抵抗R1−(最大抵抗Rmax)/1000}を演算し、次のステップ116で抵抗R1が0より小さいか否かを判断する。否定判断のときはステップ104に戻り、肯定判断のときは、ステップ118において、ステップ112で記憶(測定)した二重層容量Cを、図5に示したように、予め求めておいた(ROMに格納され初期設定処理でRAMに展開された)SOH−Cの対応関係に当てはめ、測定した二重層容量Cに対応する鉛電池1の劣化状態(SOH)を演算し、次のステップ120で演算したSOHの値を車両側マイコン10に報知する。   In step 114, the resistance R1 = {resistance R1- (maximum resistance Rmax) / 1000} is calculated, and in the next step 116, it is determined whether or not the resistance R1 is smaller than zero. If a negative determination is made, the process returns to step 104. If an affirmative determination is made, the double layer capacity C stored (measured) in step 112 is obtained in advance in step 118 as shown in FIG. The deterioration state (SOH) of the lead battery 1 corresponding to the measured double layer capacity C was calculated by applying the correspondence relationship of SOH-C (stored and expanded in the RAM in the initial setting process), and calculated in the next step 120 The SOH value is notified to the vehicle-side microcomputer 10.

CPUから鉛電池1のSOHの値について報知を受けた車両側マイコン10は、エンジン4を停止させても鉛電池1がエンジン4を再始動させる最低限必要な出力を供給可能な最小劣化状態SOHminより大きいか否かを判断する。否定判断のときはエンジン4を停止させる(アイドルストップする)と再始動(ISS)が不能となるので、エンジン4の駆動を維持すると共に、インストルメンタルパネルに鉛電池1の劣化が進んだ旨を表示させ、肯定判断のときはエンジン4を停止しても再始動が可能なためエンジン4の駆動を停止させる。なお、最小劣化状態SOHminは、鉛電池1が交換される場合等に備え、例えば、マイコン8の初期設定時等に通信によりマイコン8から車両側マイコン10が取得することが好ましい。   The vehicle-side microcomputer 10 that has been notified of the value of the SOH of the lead battery 1 from the CPU is capable of supplying the minimum required output for the lead battery 1 to restart the engine 4 even when the engine 4 is stopped. Judge whether it is larger. If the determination is negative, the engine 4 is stopped (idle-stopped) and cannot be restarted (ISS). Therefore, while the engine 4 is maintained, the instrument panel is informed that the deterioration of the lead battery 1 has progressed. When the determination is affirmative, since the engine 4 can be restarted even if it is stopped, the driving of the engine 4 is stopped. Note that the minimum deterioration state SOHmin is preferably acquired by the vehicle-side microcomputer 10 from the microcomputer 8 by communication when the lead battery 1 is replaced, for example, when the microcomputer 8 is initially set.

(実施例2)
実施例2のISS制御システム11は、実施例1と同様に電池状態検知ユニット6を備えている。本実施例では、マイコン8のROMに、実施例1のSOH−Cの対応関係に代えて、SOC−Cの対応関係が書き込まれており、初期設定時にRAMに展開されている。なお、本実施例において実施例1と同一構成部材には同一符号を付してその説明を省略し、以下、異なる点についてのみ説明する。
(Example 2)
The ISS control system 11 according to the second embodiment includes the battery state detection unit 6 as in the first embodiment. In the present embodiment, the correspondence relationship of SOC-C is written in the ROM of the microcomputer 8 instead of the correspondence relationship of SOH-C of the first embodiment, and is expanded in the RAM at the initial setting. In the present embodiment, the same components as those in the first embodiment are denoted by the same reference numerals and the description thereof is omitted, and only different points will be described below.

図4は、実施例2のマイコン8が実行する電池状態検知ルーチンを示している。電池状態検知ルーチンでは、まず、ステップ152で、鉛電池1の電流I、電圧Eを測定し、ステップ154において、−100V/sより小さい電圧低下速度のときは、鉛電池1からIGNスイッチ9を介してスタータ3に電力が供給されているものとみなし、−100V/sより小さい電圧低下速度が1ms以上持続したか否かを判断する。   FIG. 4 shows a battery state detection routine executed by the microcomputer 8 of the second embodiment. In the battery state detection routine, first, in step 152, the current I and voltage E of the lead battery 1 are measured, and in step 154, when the voltage drop rate is lower than −100 V / s, the IGN switch 9 is switched from the lead battery 1 to the battery state detection routine. Therefore, it is assumed that power is supplied to the starter 3, and it is determined whether or not the voltage drop rate smaller than −100 V / s has continued for 1 ms or more.

ステップ154での判断が否定のときはステップ152へ戻り、肯定のときは次のステップ156で電圧立下りの最初の1msの内部抵抗Rの値を上述した式(2)により演算し、次のステップ158において鉛電池1から流出する電流Iの積算を開始すると共に、このときの(E−IR)を演算してRAMに記憶する。   If the determination in step 154 is negative, the process returns to step 152. If the determination is positive, in step 156, the value of the internal resistance R for the first 1 ms of the voltage fall is calculated by the above-described equation (2). In step 158, integration of the current I flowing out from the lead battery 1 is started, and (E-IR) at this time is calculated and stored in the RAM.

次にステップ160では、鉛電池1の電流I、電圧Eを測定し、ステップ162において、−100V/sより大きい電圧低下速度が1ms以上持続したか否かを判断する。否定判断のときはステップ160へ戻り、肯定判断のときは次のステップ164において電流積算を終了すると共に、このときの(E−IR)を演算してRAMに記憶する。次いで、ステップ166で、式(3)により二重層容量Cを演算する。なお、式(3)において、流れた電気量には電流Iの積算値を用いる。   Next, in step 160, the current I and voltage E of the lead battery 1 are measured, and in step 162, it is determined whether or not the voltage drop rate greater than −100 V / s has continued for 1 ms or more. If the determination is negative, the process returns to step 160. If the determination is affirmative, the current integration is terminated in the next step 164, and (E-IR) at this time is calculated and stored in the RAM. Next, in step 166, the double layer capacitance C is calculated by the equation (3). In equation (3), the integrated value of current I is used as the amount of electricity that has flowed.

次のステップ168では、図7に示したように、予め求めておいた(ROMに格納され初期設定処理でRAMに展開された)SOC−Cの対応関係に当てはめ、二重層容量Cに対応する鉛電池1の充電状態(SOC)を演算し、次のステップ170で演算したSOCの値を車両側マイコン10に報知する。   In the next step 168, as shown in FIG. 7, it is applied to the SOC-C correspondence relationship (stored in the ROM and expanded in the RAM in the initial setting process) obtained in advance, and corresponds to the double layer capacity C. The state of charge (SOC) of the lead battery 1 is calculated, and the SOC value calculated in the next step 170 is notified to the vehicle-side microcomputer 10.

報知を受けた車両側マイコン10は、エンジン4を停止させても鉛電池1がエンジン4を再始動させる最低限必要な出力を供給可能な最小劣化状態SOCminより大きいか否かを判断する。否定判断のときはエンジン4を停止させると再始動が不能となるので、エンジン4の駆動を維持すると共に、インストルメンタルパネルに鉛電池1の劣化が進んだ旨を表示させ、肯定判断のときはエンジン4を停止しても再始動が可能なためエンジン4の駆動を停止させる。   Receiving the notification, the vehicle-side microcomputer 10 determines whether or not the lead-acid battery 1 is larger than the minimum deterioration state SOCmin that can supply the minimum necessary output for restarting the engine 4 even when the engine 4 is stopped. When the determination is negative, the engine 4 is stopped and cannot be restarted. Therefore, the drive of the engine 4 is maintained, and the instrument panel displays that the deterioration of the lead battery 1 has progressed. Since the engine 4 can be restarted even if it is stopped, the driving of the engine 4 is stopped.

(比較例1)
比較例1では、実施例1の電池状態検知ユニット6に代えて、通常のインピーダンスアナライザを使用した交流インピーダンス法で、周波数1Hzから1kHz、10Aで放電中に振幅5Aの正弦波を重畳させて試験を行い、Cole−Coleプロットへのフィッティング法により、各種SOHでの満充電の内部抵抗Rと二重層容量Cとを求めた。この結果を図6に示す。図5と比較すると明らかなように、二重層容量Cは実施例1に対しSOHによる変動が小さかった。従って、比較例1より実施例1の方が精度よくSOHを検知することができることが分かる。
(Comparative Example 1)
In Comparative Example 1, instead of the battery state detection unit 6 of Example 1, an alternating current impedance method using a normal impedance analyzer was used to superimpose a sine wave with an amplitude of 5 A during discharge at a frequency of 1 Hz to 1 kHz and 10 A. The internal resistance R and the double layer capacity C of the full charge with various SOH were obtained by the fitting method to the Cole-Cole plot. The result is shown in FIG. As is clear from comparison with FIG. 5, the double layer capacitance C was less changed by SOH than in Example 1. Therefore, it can be seen that SOH can be detected more accurately in Example 1 than in Comparative Example 1.

(比較例2)
比較例2では、実施例2の電池状態検知ユニット6に代えて、比較例1と同様の方法で、各種SOCでの内部抵抗Rと二重層容量Cとを求めた。この結果を図8に示す。実施例2と比べると(図7参照)、SOCに対する変動量が小さかった。従って、比較例2より実施例2の方が精度よくSOCを検知することができることが分かる。
(Comparative Example 2)
In Comparative Example 2, instead of the battery state detection unit 6 of Example 2, the internal resistance R and the double layer capacity C at various SOCs were obtained by the same method as in Comparative Example 1. The result is shown in FIG. Compared to Example 2 (see FIG. 7), the variation with respect to the SOC was small. Therefore, it can be seen that the SOC can be detected more accurately in the second embodiment than in the second comparative example.

従って、実施例1、2が電池状態検知に有利であることが判明した。また、実施例1、2では、交流電源が不要なため交流法を用いる場合より電池状態検知ユニット6の小型化、低コスト化を図ることができる。   Therefore, it turned out that Examples 1 and 2 are advantageous for battery state detection. Moreover, in Example 1, 2, since an alternating current power supply is unnecessary, size reduction and cost reduction of the battery state detection unit 6 can be achieved compared with the case where the alternating current method is used.

本発明に係る電池状態検知方法よれば、正確に電池状態を検知可能であり、本発明が具現乃至適用される装置の製造、販売に寄与するため、産業上の利用可能性を有する。   According to the battery state detection method of the present invention, the battery state can be detected accurately, and contributes to the manufacture and sale of a device to which the present invention is embodied or applied, and thus has industrial applicability.

本発明が適用可能な実施例1のISS制御システムのブロック構成図である。It is a block block diagram of the ISS control system of Example 1 which can apply this invention. 実施例1の電池状態検知ユニットのマイコンのCPUが実行する電池状態検知ルーチンのフローチャートである。It is a flowchart of the battery state detection routine which CPU of the microcomputer of the battery state detection unit of Example 1 performs. エンジン始動時の鉛電池に流れる電流の波形を模式的に示す説明図である。It is explanatory drawing which shows typically the waveform of the electric current which flows into the lead battery at the time of engine starting. 実施例2の電池状態検知ユニットのマイコンのCPUが実行する電池状態検知ルーチンのフローチャートである。It is a flowchart of the battery state detection routine which CPU of the microcomputer of the battery state detection unit of Example 2 performs. 実施例1の電池状態検知ユニットのマイコンのROMに格納されたSOH−Cの対応マップを模式的に示すと共に、内部抵抗のSOH依存性を併せて示す説明図である。It is explanatory drawing which shows typically the correspondence map of SOH-C stored in ROM of the microcomputer of the battery state detection unit of Example 1, and also the SOH dependence of internal resistance. 比較例1で測定された内部抵抗、二重層容量のSOH依存性を示す説明図である。It is explanatory drawing which shows the SOH dependence of the internal resistance measured by the comparative example 1, and a double layer capacity | capacitance. 実施例2の電池状態検知ユニットのマイコンのROMに格納されたSOC−Cの対応マップを模式的に示すと共に、内部抵抗のSOC依存性を併せて示す説明図である。It is explanatory drawing which shows typically the SOC dependence of internal resistance while showing typically the correspondence map of SOC-C stored in ROM of the microcomputer of the battery state detection unit of Example 2. FIG. 比較例2で測定された内部抵抗、二重層容量のSOC依存性を示す説明図である。It is explanatory drawing which shows the SOC dependence of the internal resistance measured by the comparative example 2, and a double layer capacity | capacitance.

符号の説明Explanation of symbols

1 鉛電池(電池)
6 電池状態検知ユニット
7 電流センサ
8 マイコン
1 Lead battery (battery)
6 Battery status detection unit 7 Current sensor 8 Microcomputer

Claims (4)

電池から供給される直流パルス電流及び電池電圧から前記電池の二重層容量を求め、予め求めていた二重層容量と電池状態との関係から前記電池の電池状態を検出することを特徴とする電池状態検知方法。   A battery state characterized in that a double layer capacity of the battery is obtained from a DC pulse current and a battery voltage supplied from the battery, and a battery state of the battery is detected from a relationship between the double layer capacity and the battery state obtained in advance. Detection method. 前記直流パルス電流及び電池電圧から前記電池の内部抵抗を求め、前記内部抵抗をR、前記直流パルス電流をI、前記電池電圧をE、ファラデー電流を表す(E−IR)の関数をf、前記二重層容量をC、時間をtとしたときに、下式(1)に複数組のデータ(I、dE/dt、dI/dt)と前記内部抵抗Rとを代入して前記二重層容量を求めることを特徴とする請求項1に記載の電池状態検知方法。
The internal resistance of the battery is obtained from the direct current pulse current and the battery voltage, the internal resistance is R, the direct current pulse current is I, the battery voltage is E, and the function of (E-IR) representing the Faraday current is f, When the double layer capacitance is C and the time is t, the double layer capacitance is calculated by substituting a plurality of sets of data (I, dE / dt, dI / dt) and the internal resistance R into the following equation (1). The battery state detection method according to claim 1, wherein the battery state detection method is obtained.
前記関数fが既知であるときに、前記(E−IR)の値が同じ2組のデータ(I、dE/dt、dI/dt)と前記内部抵抗Rとを前記式(1)に代入して第1二重層容量を求め、前記(E−IR)の値が同じ別の2組のデータ(I、dE/dt、dI/dt)と前記内部抵抗Rとを前記式(1)に代入して第2二重層容量を求め、前記第1、第2二重層容量の差の絶対値が所定値未満のときに、前記第1二重層容量、第2二重層容量又は前記第1、第2二重層容量間の任意の値を前記電池の二重層容量として求めることを特徴とする請求項2に記載の電池状態検知方法。   When the function f is known, two sets of data (I, dE / dt, dI / dt) having the same value of (E-IR) and the internal resistance R are substituted into the equation (1). The first double layer capacitance is obtained, and another two sets of data (I, dE / dt, dI / dt) having the same value of (E-IR) and the internal resistance R are substituted into the equation (1). The second double layer capacitance is obtained, and when the absolute value of the difference between the first and second double layer capacitances is less than a predetermined value, the first double layer capacitance, the second double layer capacitance, or the first, first The battery state detection method according to claim 2, wherein an arbitrary value between two double layer capacities is obtained as the double layer capacity of the battery. 時間が一定の異なる時刻で測定した2つの前記電池電圧の差から前記電池の電圧変化量を求め、前記電圧変化量の絶対値が所定値以上かつ所定時間以上持続したときに前記電圧変化量を前記所定時間での電流変化量で除すことで前記電池の内部抵抗を求めて前記直流パルス電流の積算を開始し、前記所定時間経過後の別の前記異なる時刻で測定した2つの前記電池電圧の差から前記電池の電圧変化量を求め、該電圧変化量の絶対値が前記所定値未満かつ前記所定時間以上持続したときに前記直流パルス電流の積算を終了し、前記積算した積算電流値を前記積算時間での電圧変化量で除して前記電池の二重層容量を求めることを特徴とする請求項1に記載の電池状態検知方法。   A voltage change amount of the battery is obtained from a difference between two battery voltages measured at different times, and the voltage change amount is determined when an absolute value of the voltage change amount is longer than a predetermined value and longer than a predetermined time. The two battery voltages measured at another different time after the predetermined time elapses after the internal resistance of the battery is obtained by dividing by the amount of current change at the predetermined time and the integration of the DC pulse current is started. The voltage change amount of the battery is obtained from the difference between the DC pulse currents when the absolute value of the voltage change amount is less than the predetermined value and continues for the predetermined time or more, and the integrated current value is calculated. 2. The battery state detection method according to claim 1, wherein a double layer capacity of the battery is obtained by dividing by a voltage change amount in the integration time.
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Cited By (4)

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JP2016195495A (en) * 2015-03-31 2016-11-17 古河電気工業株式会社 Secondary battery charging control device and secondary battery charging control method
CN105388426A (en) * 2015-12-10 2016-03-09 东软集团股份有限公司 Method and apparatus for estimating state of health (SOH) of battery
CN112363056A (en) * 2020-08-10 2021-02-12 万向一二三股份公司 Method for correcting battery internal resistance service life model based on Kalman filter

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