JP4928854B2 - Battery internal resistance measuring device - Google Patents
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- JP4928854B2 JP4928854B2 JP2006185247A JP2006185247A JP4928854B2 JP 4928854 B2 JP4928854 B2 JP 4928854B2 JP 2006185247 A JP2006185247 A JP 2006185247A JP 2006185247 A JP2006185247 A JP 2006185247A JP 4928854 B2 JP4928854 B2 JP 4928854B2
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Description
本発明は、電池の内部抵抗測定装置に関し、さらに詳しく言えば、電流遮断法により燃料電池の内部抵抗を測定する際、電流遮断時に発生するリンギングによる測定誤差を排除する技術に関するものである。 The present invention relates to a battery internal resistance measuring apparatus, and more particularly to a technique for eliminating measurement errors due to ringing that occurs when a current is interrupted when measuring the internal resistance of a fuel cell by a current interrupting method.
燃料電池は、水素などの燃料と空気などの酸化剤とを電気化学的に反応させることにより、燃料が持つ化学的エネルギーを電気エネルギーに変換する発電装置として知られているが、図3の等価回路図に示すように、燃料電池FCの内部にはオーミック抵抗Rsolと反応抵抗Rctとが存在する。 A fuel cell is known as a power generation device that converts a chemical energy of a fuel into electric energy by electrochemically reacting a fuel such as hydrogen with an oxidant such as air. As shown in the circuit diagram, an ohmic resistance Rsol and a reaction resistance Rct exist inside the fuel cell FC.
オーミック抵抗Rsolは、主として燃料電池FCの膜抵抗や電解質による純抵抗である。反応抵抗Rctには、通常キャパシタ成分Cdlが並列に存在しており、反応抵抗Rctにより電極の反応状態を知ることができる。したがって、燃料電池FCの性能を評価するうえで、内部抵抗であるオーミック抵抗Rsolと反応抵抗Rctとを同時に測定する必要がある。 The ohmic resistance Rsol is mainly a membrane resistance of the fuel cell FC or a pure resistance due to an electrolyte. Usually, a capacitor component Cdl is present in parallel with the reaction resistance Rct, and the reaction state of the electrode can be known by the reaction resistance Rct. Therefore, when evaluating the performance of the fuel cell FC, it is necessary to simultaneously measure the ohmic resistance Rsol and the reaction resistance Rct, which are internal resistances.
その測定方法の一つとして、特許文献1に記載されている電流遮断法がある。電流遮断法による測定では、図3に示すように、燃料電池FCにスイッチSWを介して負荷Lを接続する。図示していないが、測定器としては燃料電池FCから負荷Lに供給される負荷電流Iを測定する電流計と、燃料電池FCの端子間電圧を測定する電圧計とが用いられる。 As one of the measuring methods, there is a current interruption method described in Patent Document 1. In the measurement by the current interruption method, as shown in FIG. 3, a load L is connected to the fuel cell FC via the switch SW. Although not shown, an ammeter that measures the load current I supplied from the fuel cell FC to the load L and a voltmeter that measures the voltage across the terminals of the fuel cell FC are used as measuring instruments.
まず、スイッチSWをオンとして、燃料電池FCから負荷Lに供給される負荷電流Iを測定する。この負荷電流Iは、図4(a)に示すように、定常状態の電流でほぼ一定であり、このとき電圧計では、図4(b)に示すように、負荷Lでの電圧降下VLが測定される。 First, the switch SW is turned on, and the load current I supplied from the fuel cell FC to the load L is measured. As shown in FIG. 4A, the load current I is substantially constant as a steady-state current. At this time, the voltmeter has a voltage drop VL at the load L as shown in FIG. 4B. Measured.
次に、スイッチSWを瞬間的にオフとして負荷電流を遮断し、電圧計にて燃料電池FCの端子間電圧を測定する。負荷電流Iが0〔A〕になるに伴ってオーミック抵抗Rsolでの電圧降下Vsolが0となるため、燃料電池FCの端子間電圧はVL→VL+Vsolに上昇する。この間の時間はきわめて短時間で約1〜2μs程度である。なお、この電圧Vsolを測定することにより、オーミック抵抗RsolはVsol/Iなる式にて求められる。 Next, the switch SW is instantaneously turned off to interrupt the load current, and the voltage across the terminals of the fuel cell FC is measured with a voltmeter. As the load current I becomes 0 [A], the voltage drop Vsol at the ohmic resistance Rsol becomes 0, so that the voltage across the terminals of the fuel cell FC increases from VL to VL + Vsol. The time during this period is about 1-2 μs in a very short time. By measuring this voltage Vsol, the ohmic resistance Rsol can be obtained by the equation Vsol / I.
これに対して、反応抵抗Rctでの電圧降下Vctは急激に低下せず、キャパシタ成分CdlとのCR時定数により徐々に低下する。したがって、燃料電池FCの端子間電圧は最終的にVL+Vsol+Vct(=Edc)となり、Vct/Iにより反応抵抗Rctが求められる。なお、反応抵抗Rctでの電圧降下Vctの電圧上昇率は緩やかであるため、その検出には数s(秒)間を要する。 On the other hand, the voltage drop Vct at the reaction resistance Rct does not rapidly decrease but gradually decreases due to the CR time constant with the capacitor component Cdl. Therefore, the terminal voltage of the fuel cell FC finally becomes VL + Vsol + Vct (= Edc), and the reaction resistance Rct is obtained from Vct / I. It should be noted that since the rate of voltage increase of the voltage drop Vct at the reaction resistance Rct is gradual, detection takes several s (seconds).
上記した電流遮断法で問題となるのは、測定系の配線にはリアクタンス成分が存在するため、電流遮断時に図4(b)の電圧波形にリンギングが発生し、その大きさによってはオーミック抵抗Rsolでの電圧降下Vsol分を正確に測定することができないことがある。 The problem with the current interruption method described above is that there is a reactance component in the wiring of the measurement system, so that ringing occurs in the voltage waveform of FIG. 4B when the current is interrupted, and depending on the magnitude, ohmic resistance Rsol In some cases, it is impossible to accurately measure the voltage drop Vsol.
そこで、特許文献1に記載の発明では、電流遮断時から数100μs程度の時間範囲であれば、電圧と時間との関係を直線関係とみなすことができる点に着目し、直線回帰分析法により電流遮断時の電圧を算出するようにしているが、これには容量の大きなメモリとデータを高速に演算処理し得る高機能の演算処理手段を必要とするため、コスト的に好ましくない。 Therefore, in the invention described in Patent Document 1, paying attention to the fact that the relationship between voltage and time can be regarded as a linear relationship within a time range of about several hundred μs from the time of current interruption, the current is obtained by linear regression analysis. Although the voltage at the time of interruption is calculated, this requires a high-capacity memory and a high-performance arithmetic processing means capable of performing arithmetic processing on data at high speed, which is not preferable in terms of cost.
したがって、本発明の課題は、電池(特には燃料電池)の内部抵抗を電流遮断法により測定するにあたって、より簡単な構成によって電流遮断時に発生するリンギングによる測定誤差を排除することにある。 Therefore, an object of the present invention is to eliminate a measurement error due to ringing that occurs at the time of current interruption with a simpler configuration when measuring the internal resistance of a battery (particularly a fuel cell) by the current interruption method.
上記課題を解決するため、本発明は、請求項1に記載されているように、電池から負荷に供給される負荷電流を測定する電流測定手段と、上記負荷電流をオンオフ制御するスイッチ手段と、上記電池の端子間電圧を測定する電圧測定手段と、上記各測定手段の測定値から上記電池の内部抵抗を算出するとともに、上記スイッチ手段を制御する制御手段とを備え、上記電池から負荷に一定の負荷電流を供給している状態で上記スイッチ手段により急速に上記負荷電流を0〔A〕とし、そのとき上記電圧測定手段にて測定される電圧応答波形に基づいて上記電池の内部抵抗を測定する電池の内部抵抗測定装置において、上記スイッチ手段に電流遮断速度可変型スイッチが用いられ、上記電圧測定手段の入力側にフィルタ回路が接続されるとともに、上記電圧応答波形を解析するFFT(高速フーリエ変換手段)を備え、上記制御手段は、上記電流遮断速度可変型スイッチの電流遮断速度による上記負荷電流の立ち下がり時間Tfを周波数f2に換算し、上記FFTにより求められた上記電圧応答波形に含まれる単一周波数成分f1がf1>f2かを判定し、f1>f2であるとする判定結果に基づいて、上記フィルタ回路に上記周波数f2を通過し、上記周波数成分f1を除去し得るローパスフィルタを用いることを特徴としている。 In order to solve the above problems, the present invention provides, as described in claim 1, current measuring means for measuring a load current supplied from a battery to a load, switch means for controlling on / off of the load current, Voltage measuring means for measuring the voltage between the terminals of the battery, and control means for calculating the internal resistance of the battery from the measured value of each measuring means and controlling the switch means, and the battery to the load is constant. The load current is rapidly reduced to 0 [A] by the switch means while the load current is being supplied, and the internal resistance of the battery is measured based on the voltage response waveform measured by the voltage measurement means at that time. In the battery internal resistance measuring device, a variable current cutoff speed switch is used as the switch means, and a filter circuit is connected to the input side of the voltage measuring means. An FFT (Fast Fourier Transform means) for analyzing the voltage response waveform is provided, and the control means converts the fall time Tf of the load current due to the current cutoff speed of the variable current cutoff speed type switch into a frequency f2, It is determined whether the single frequency component f1 included in the voltage response waveform obtained by FFT is f1> f2, and based on the determination result that f1> f2, the frequency f2 is passed through the filter circuit, A low-pass filter capable of removing the frequency component f1 is used.
本発明において、請求項2に記載されているように、上記制御手段は、上記負荷電流が0Aになった時点での上記電圧測定手段による電圧測定値をVsol,上記電池から負荷に供給される一定の電流値をIとして、Vsol/Iから上記電池の内部抵抗に含まれているオーミック抵抗値を測定する。 In the present invention, as described in claim 2, the control means supplies the voltage measurement value by the voltage measurement means at the time when the load current becomes 0A to the load from Vsol, the battery. Assuming that a constant current value is I, an ohmic resistance value included in the internal resistance of the battery is measured from Vsol / I.
また、本発明においては、請求項3に記載されているように、上記電流遮断速度可変型スイッチの電流遮断速度が、上記電池の内部抵抗に含まれる反応抵抗の時定数よりも速く設定される。 In the present invention, as described in claim 3, the current interruption speed of the variable current interruption speed switch is set faster than the time constant of the reaction resistance included in the internal resistance of the battery. .
本発明によれば、電圧測定手段の入力側に、電流遮断速度(電流遮断時間)の周波数換算値である周波数f2を通過し、電圧応答波形のFFT演算により求められた周波数成分f1を除去し得るローパスフィルタが設けられていることにより、電圧波形にリンギング波形が含まれないため、電池の内部抵抗のうちのオーミック抵抗をより正確に測定することができる。また、容量の大きなメモリやデータを高速に演算処理し得る高機能の演算処理手段を必要としないため、その分、コストを削減することができる。 According to the present invention, on the input side of the voltage measuring unit, the frequency f2 that is a frequency converted value of the current interruption speed (current interruption time) is passed, and the frequency component f1 obtained by the FFT calculation of the voltage response waveform is removed. By providing the low-pass filter to be obtained, the ringing waveform is not included in the voltage waveform, so that the ohmic resistance of the internal resistance of the battery can be measured more accurately. In addition, since there is no need for a high-performance arithmetic processing means capable of performing arithmetic processing on a large capacity memory or data at high speed, the cost can be reduced accordingly.
次に、図1および図2により、本発明の実施形態について説明するが、本発明はこれに限定されるものではない。図1は本発明による電池の内部抵抗測定装置を示す概略的な回路図,図2(a)〜(b)は電流遮断時の電流波形および電圧応答波形を示す波形図である。なお、この実施形態での測定対象は先の図3で説明したのと同じく燃料電池FCであるが、二次電池などであってもよい。 Next, an embodiment of the present invention will be described with reference to FIGS. 1 and 2, but the present invention is not limited to this. FIG. 1 is a schematic circuit diagram showing a battery internal resistance measuring apparatus according to the present invention, and FIGS. 2A and 2B are waveform diagrams showing current waveforms and voltage response waveforms when current is interrupted. Note that the measurement object in this embodiment is the fuel cell FC as described in FIG. 3, but may be a secondary battery or the like.
図1に示すように、この内部抵抗測定装置は、基本的な構成として、燃料電池FCから負荷Lに供給される負荷電流Iをオンオフするスイッチ手段11,その負荷電流Iを測定する電流測定手段12,燃料電池FCの端子間電圧を測定する電圧測定手段13,制御手段14および表示器15を備える。 As shown in FIG. 1, this internal resistance measuring device has, as a basic configuration, switch means 11 for turning on / off a load current I supplied from a fuel cell FC to a load L, and current measuring means for measuring the load current I. 12. A voltage measuring means 13, a control means 14 and a display 15 for measuring the voltage across the terminals of the fuel cell FC are provided.
本発明において、スイッチ手段11には、電流遮断速度を任意に調整できる電流遮断速度可変型スイッチが用いられ、その電流遮断速度は制御手段14にて制御される。電流測定手段12は通常よく用いられる電流計であってよく、その電流測定値はA/D変換器12aを介して制御手段14に与えられる。
In the present invention, the switch means 11 is a variable current interrupt speed switch that can arbitrarily adjust the current interrupt speed, and the current interrupt speed is controlled by the control means 14. The current measuring means 12 may be an ammeter that is normally used, and the current measurement value is given to the control means 14 via the A /
電圧測定手段13も通常よく用いられる電圧計であってよく、その電圧測定値はA/D変換器13aを介して制御手段14に与えられるが、本発明では、A/D変換器13aにて変換されたデジタルの電圧データを高速フーリエ変換するFFT16を備えている。また、電圧測定手段13の入力側に後述するカットオフ周波数を有するフィルタ回路17が接続される。
The voltage measuring means 13 may also be a voltmeter that is usually used, and the voltage measurement value is given to the control means 14 via the A /
制御手段14には、中央演算処理ユニット(CPU)やマイクロコンピュータが用いられてよい。表示器15には、液晶パネルやプラズマディスプレイなどが用いられるが、場合によっては、プリンタが用いられてもよい。 A central processing unit (CPU) or a microcomputer may be used for the control means 14. A liquid crystal panel, a plasma display, or the like is used for the display 15, but a printer may be used depending on the case.
内部抵抗の測定方法は電流遮断法である。すなわち、スイッチ手段11をオンとして燃料電池FCから負荷Lに一定の負荷電流Iを流している状態で、スイッチ手段11を急速にオフとして、図2(a)に示すように負荷電流Iを0〔A〕とし、そのとき電圧測定手段13にて測定される燃料電池FCの電圧応答波形(図2(b))を観測して、オーミック抵抗Rsolによる電圧値Vsolを読み取る。 The method for measuring the internal resistance is a current interruption method. That is, in a state where the switch means 11 is turned on and a constant load current I flows from the fuel cell FC to the load L, the switch means 11 is turned off rapidly, and the load current I is reduced to 0 as shown in FIG. [A], the voltage response waveform (FIG. 2B) of the fuel cell FC measured by the voltage measuring means 13 at that time is observed, and the voltage value Vsol by the ohmic resistance Rsol is read.
しかしながら、図1に示す測定系の配線にはリアクタンス成分が存在するため、電流遮断時の電圧応答波形には、図2(b)に誇張して示すようにリンギングが発生する。このリンギングの大きさによっては、電圧応答波形から上記電圧値Vsolを読み取る際に誤差が含まれることがある。このリンギングによる誤差を除去するため、本発明では次のような対策を講じている。 However, since there is a reactance component in the measurement system wiring shown in FIG. 1, ringing occurs in the voltage response waveform at the time of current interruption as shown exaggeratedly in FIG. Depending on the magnitude of the ringing, an error may be included when the voltage value Vsol is read from the voltage response waveform. In order to remove the error caused by the ringing, the present invention takes the following measures.
まず、FFT16により、電圧測定手段13で測定された電圧応答波形に含まれる周波数成分f1を求める。一般的に、この周波数成分f1は測定系の共振による周波数であるため単一周波数である。
First, the frequency component f1 included in the voltage response waveform measured by the
次に、図2(a)の電流遮断波形から、負荷電流Iの立ち下がり時間(負荷電流Iが0〔A〕になるまでの時間)Tfを求めて周波数f2に換算する。この周波数換算には、ガウシャン・レスポンス特性(y’=exp(−af2))をラプラス変換して求められるELMOREの関係式が適用され、f2=0.35/Tf〔Hz〕となる。 Next, the falling time of the load current I (time until the load current I becomes 0 [A]) Tf is obtained from the current interruption waveform of FIG. 2A and converted to the frequency f2. For this frequency conversion, an ELMORE relational expression obtained by Laplace transforming Gaussian response characteristics (y ′ = exp (−af 2 )) is applied, and f2 = 0.35 / Tf [Hz].
そして、f1>f2であることが制御手段14により確認されたならば、周波数f2を通過させ周波数f1を除去するローパスフィルタをフィルタ回路17に適用する。
If it is confirmed by the control means 14 that f1> f2, a low-pass filter that passes the frequency f2 and removes the frequency f1 is applied to the
なお、ローパスフィルタのカットオフ周波数がf2に近いと電圧応答波形のf2成分が若干減衰してしまい、上記電圧値Vsolの測定に誤差が生ずるおそれがあるため、ローパスフィルタのカットオフ周波数を例えばf2×10〔Hz〕とすることが好ましい。 Note that if the cutoff frequency of the low-pass filter is close to f2, the f2 component of the voltage response waveform is slightly attenuated and an error may occur in the measurement of the voltage value Vsol. X10 [Hz] is preferable.
次に、電流遮断速度について説明する。正確な測定を行うためには、電流遮断速度を反応抵抗RctのCR時定数よりも十分に速くする必要がある。図2(c)に示すように、電流遮断速度(負荷電流Iが0〔A〕になるまでの時間Tf)を反応抵抗RctのCR時定数よりも遅くするとリンギングはなくなるが、図2(d)に示すように、電圧応答波形がなまり上記電圧値Vsolの読み取りに誤差が生ずることがあるため好ましくない。 Next, the current interruption speed will be described. In order to perform accurate measurement, it is necessary to make the current interruption rate sufficiently faster than the CR time constant of the reaction resistance Rct. As shown in FIG. 2 (c), when the current interruption rate (time Tf until the load current I becomes 0 [A]) is made slower than the CR time constant of the reaction resistance Rct, ringing disappears, but FIG. ), The voltage response waveform is distorted and an error may occur in reading the voltage value Vsol.
そこで、制御手段14に電流遮断速度のパターンを何種類か設定し、そのパターンごとに電圧応答信号の測定を行ってリンギングレベルおよび上記電圧値Vsolを測定し、この中からリンギングによる測定誤差が生じない最適な電流遮断速度を決定するとよい。 Therefore, several types of current interruption speed patterns are set in the control means 14, and the voltage response signal is measured for each pattern to measure the ringing level and the voltage value Vsol. It is better to determine the optimum current interruption rate.
以上説明したように、本発明によれば、電圧測定手段13の入力側に、電流遮断速度(電流遮断時間)の周波数換算値である周波数f2を通過し、電圧応答波形のFFT演算により求められた周波数成分f1を除去し得るローパスフィルタを接続し、電流遮断速度を従来の瞬時遮断よりも遅くしたことにより、電圧応答波形にリンギング波形が含まれないため、オーミック抵抗Rsolによる電圧値Vsolを正確に測定できる。 As described above, according to the present invention, on the input side of the voltage measuring means 13, the frequency f2, which is the frequency converted value of the current interruption speed (current interruption time), is passed and obtained by the FFT calculation of the voltage response waveform. By connecting a low-pass filter that can remove the frequency component f1 and making the current interruption speed slower than the conventional instantaneous interruption, the voltage response waveform does not include a ringing waveform, so the voltage value Vsol by the ohmic resistance Rsol is accurately Can be measured.
11 スイッチ手段
12 電流測定手段
13 電圧測定手段
14 制御手段
15 表示手段
16 FFT
17 フィルタ回路
FC 燃料電池
Rsol オーミック抵抗
Rct 反応抵抗
Cdl キャパシタ成分
DESCRIPTION OF
17 Filter circuit FC Fuel cell Rsol Ohmic resistance Rct Reaction resistance Cdl Capacitor component
Claims (3)
上記スイッチ手段に電流遮断速度可変型スイッチが用いられ、上記電圧測定手段の入力側にフィルタ回路が接続されるとともに、上記電圧応答波形を解析するFFT(高速フーリエ変換手段)を備え、
上記制御手段は、上記電流遮断速度可変型スイッチの電流遮断速度による上記負荷電流の立ち下がり時間Tfを周波数f2に換算し、上記FFTにより求められた上記電圧応答波形に含まれる単一周波数成分f1がf1>f2かを判定し、
f1>f2であるとする判定結果に基づいて、上記フィルタ回路に上記周波数f2を通過し、上記周波数成分f1を除去し得るローパスフィルタを用いることを特徴とする電池の内部抵抗測定装置。 From the current measurement means for measuring the load current supplied from the battery to the load, the switch means for controlling the load current on / off, the voltage measurement means for measuring the voltage between the terminals of the battery, and the measurement values of the measurement means Control means for calculating the internal resistance of the battery and controlling the switch means, and the switch means rapidly reduces the load current to 0 [0] while supplying a constant load current from the battery to the load. A], and in the battery internal resistance measuring device for measuring the internal resistance of the battery based on the voltage response waveform measured by the voltage measuring means at that time,
A variable current cutoff speed switch is used as the switch means, a filter circuit is connected to the input side of the voltage measuring means, and an FFT (Fast Fourier Transform means) for analyzing the voltage response waveform is provided.
The control means converts the fall time Tf of the load current due to the current interruption speed of the variable current interruption speed switch into a frequency f2, and a single frequency component f1 included in the voltage response waveform obtained by the FFT. Determine whether f1> f2,
A battery internal resistance measuring apparatus using a low-pass filter capable of passing the frequency f2 and removing the frequency component f1 in the filter circuit based on a determination result that f1> f2.
The battery internal resistance measurement according to claim 1 or 2, wherein the current interruption speed of the variable current interruption speed type switch is set to be faster than a time constant of a reaction resistance included in the internal resistance of the battery. apparatus.
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