JP2013229349A - Method and apparatus for evaluating impedance characteristics - Google Patents

Method and apparatus for evaluating impedance characteristics Download PDF

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JP2013229349A
JP2013229349A JP2013150782A JP2013150782A JP2013229349A JP 2013229349 A JP2013229349 A JP 2013229349A JP 2013150782 A JP2013150782 A JP 2013150782A JP 2013150782 A JP2013150782 A JP 2013150782A JP 2013229349 A JP2013229349 A JP 2013229349A
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JP5660474B2 (en
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Nobuhiro Tomosada
伸浩 友定
Daisuke Yamazaki
大輔 山崎
Atsushi Kimura
篤史 木村
Tomomi Akutsu
智美 阿久津
Saaya Sato
紗綾 佐藤
Makoto Kawano
誠 川野
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Yokogawa Electric Corp
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    • Y—GENERAL 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
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00—Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
    • Y02E60/10—Energy storage using batteries
    • Y—GENERAL 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
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00—Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
    • Y02E60/30—Hydrogen technology
    • Y02E60/50—Fuel cells

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Abstract

PROBLEM TO BE SOLVED: To provide a method and an apparatus for evaluating impedance characteristic that can analyze reaction resistance in detail by removing membrane resistance from the measured impedance characteristics.SOLUTION: A method for evaluating impedance characteristics includes the steps of: measuring the impedance of a battery while changing the measuring frequency; calculating a convergence value of a real component of the impedance as the membrane resistance of the battery when increasing the measuring frequency; and calculating the reaction resistance of the battery by subtracting the membrane resistance from the impedance of the battery. In the step of calculating the membrane resistance, the membrane resistance is calculated using fitting to an equivalent circuit, and a measurement system impedance component is added to the equivalent circuit.

Description

本発明は、電池のインピーダンス特性を評価するインピーダンス特性評価方法およびインピーダンス特性評価装置に関する。   The present invention relates to an impedance characteristic evaluation method and an impedance characteristic evaluation apparatus for evaluating impedance characteristics of a battery.

負荷電流に重畳する交流の周波数（測定周波数）を変えながら燃料電池セルのインピーダンスを測定する方法が知られている。この方法では、負荷電流として直流成分（Ｉｄｃ）に加えて十分振幅の小さな交流成分（Ｉａｃ）を重畳した電流（Ｉｄｃ＋Ｉａｃ）を与える。一般的には、この交流成分として正弦波が使用される。インピーダンス計測器により、この電流摂動に対する電池電圧（Ｖｄｃ＋Ｖａｃ）の変化を測定し、交流成分のゲイン特性、位相遅れを得る。測定周波数を順次変えながら、それぞれの周波数でのゲインおよび位相を測定することで、燃料電池セルのインピーダンス特性を得ることができる。
特開２００７−２６５８８５号公報 A method for measuring the impedance of a fuel cell while changing the frequency (measurement frequency) of the alternating current superimposed on the load current is known. In this method, a current (Idc + Iac) obtained by superimposing an alternating current component (Iac) having a sufficiently small amplitude in addition to the direct current component (Idc) as a load current is given. Generally, a sine wave is used as this alternating current component. An impedance measuring instrument measures the change in battery voltage (Vdc + Vac) with respect to this current perturbation, and obtains the AC component gain characteristics and phase delay. By measuring the gain and phase at each frequency while sequentially changing the measurement frequency, the impedance characteristic of the fuel cell can be obtained.
JP 2007-265885 A

燃料電池セルインピーダンスは、膜抵抗および反応抵抗から構成されると考えられる。このうち、膜抵抗はイオン伝導体の抵抗と考えられているが、燃料電池においては、その抵抗値は発電状態に大きく依存する。発電負荷の大小や、供給される燃料ガス（水素）や酸化ガス（エア）の加湿状態、発電の際に発生する生成水の影響などにより、膜抵抗は変化する。一方、反応抵抗はそれらの原因も含め、触媒状態や触媒へのガス供給など、様々な他の要因で変化すると考えられている。   The fuel cell impedance is considered to be composed of a membrane resistance and a reaction resistance. Among these, the membrane resistance is considered as the resistance of the ion conductor, but in the fuel cell, the resistance value largely depends on the power generation state. The membrane resistance changes depending on the magnitude of the power generation load, the humidified state of the supplied fuel gas (hydrogen) and oxidizing gas (air), the influence of the generated water generated during power generation, and the like. On the other hand, the reaction resistance is considered to change due to various other factors including the cause and the catalyst state and gas supply to the catalyst.

しかし、現在行われているインピーダンス計測では、上記の膜抵抗と反応抵抗とを分けて測定することが行われておらず、２種類の抵抗の変化をまとめて解析しようとしているため、特に反応抵抗の解析が遅れている。   However, in the current impedance measurement, the above-described membrane resistance and reaction resistance are not separately measured, and since the change of two types of resistance is being analyzed together, the reaction resistance is particularly important. Analysis of is delayed.

本発明の目的は、測定されたインピーダンス特性から膜抵抗を除去し、反応抵抗を詳細に解析することができるインピーダンス特性評価方法およびインピーダンス特性評価装置を提供することにある。   An object of the present invention is to provide an impedance characteristic evaluation method and an impedance characteristic evaluation apparatus that can remove a membrane resistance from a measured impedance characteristic and analyze a reaction resistance in detail.

本発明のインピーダンス特性評価方法は、以下を特徴とする。
電池のインピーダンス特性を評価するインピーダンス特性評価方法において、測定周波数を変えながら電池のインピーダンスを測定するステップと、前記測定周波数を上昇させたときの前記インピーダンスの実数成分の収束値を前記電池の膜抵抗として算出するステップと、前記電池のインピーダンスから前記膜抵抗を減算することで前記電池の反応抵抗を算出するステップと、を備え、前記膜抵抗を算出するステップでは、等価回路に対するフィッティングを用いて前記膜抵抗を算出し、前記等価回路には、測定系のインピーダンス成分が付加されることを特徴とするインピーダンス特性評価方法。 The impedance characteristic evaluation method of the present invention is characterized by the following .
In the impedance characteristic evaluation method for evaluating the impedance characteristic of a battery, the step of measuring the impedance of the battery while changing the measurement frequency, and the convergence value of the real component of the impedance when the measurement frequency is increased are determined as the membrane resistance of the battery And calculating the reaction resistance of the battery by subtracting the membrane resistance from the impedance of the battery, and calculating the membrane resistance using the fitting for an equivalent circuit An impedance characteristic evaluation method characterized in that a membrane resistance is calculated, and an impedance component of a measurement system is added to the equivalent circuit .

このインピーダンス特性評価方法によれば、測定周波数を上昇させたときのインピーダンスの実数成分の収束値を電池の膜抵抗として算出し、電池のインピーダンスから上記膜抵抗を減算することで電池の反応抵抗を算出するので、反応抵抗を詳細に解析することができる。   According to this impedance characteristic evaluation method, the convergence value of the real component of the impedance when the measurement frequency is increased is calculated as the membrane resistance of the battery, and the reaction resistance of the battery is calculated by subtracting the membrane resistance from the battery impedance. Since the calculation is performed, the reaction resistance can be analyzed in detail.

本発明のインピーダンス特性評価装置は、以下を特徴とする。
電池のインピーダンス特性を評価するインピーダンス特性評価装置において、測定周波数を変えながら電池のインピーダンスを測定する測定手段と、前記測定周波数を上昇させたときの前記インピーダンスの実数成分の収束値を前記電池の膜抵抗として算出する膜抵抗算出手段と、前記電池のインピーダンスから前記膜抵抗を減算することで前記電池の反応抵抗を算出する反応抵抗算出手段と、を備え、前記膜抵抗算出手段は、等価回路に対するフィッティングを用いて前記膜抵抗を算出し、前記等価回路には、測定系のインピーダンス成分が付加されることを特徴とするインピーダンス特性評価装置。 The impedance characteristic evaluation apparatus of the present invention is characterized by the following .
In the impedance characteristic evaluation apparatus for evaluating the impedance characteristic of a battery, a measurement means for measuring the impedance of the battery while changing the measurement frequency, and a convergence value of the real component of the impedance when the measurement frequency is increased Membrane resistance calculation means for calculating as resistance, and reaction resistance calculation means for calculating reaction resistance of the battery by subtracting the membrane resistance from the impedance of the battery, the membrane resistance calculation means for the equivalent circuit An apparatus for evaluating impedance characteristics, wherein the membrane resistance is calculated using fitting, and an impedance component of a measurement system is added to the equivalent circuit.

このインピーダンス特性評価装置によれば、測定周波数を上昇させたときのインピーダンスの実数成分の収束値を電池の膜抵抗として算出し、電池のインピーダンスから上記膜抵抗を減算することで電池の反応抵抗を算出するので、反応抵抗を詳細に解析することができる。   According to this impedance characteristic evaluation apparatus, the convergence value of the real component of the impedance when the measurement frequency is increased is calculated as the battery membrane resistance, and the reaction resistance of the battery is calculated by subtracting the membrane resistance from the battery impedance. Since the calculation is performed, the reaction resistance can be analyzed in detail.

本発明のインピーダンス特性評価方法によれば、測定周波数を上昇させたときのインピーダンスの実数成分の収束値を電池の膜抵抗として算出し、電池のインピーダンスから上記膜抵抗を減算することで電池の反応抵抗を算出するので、反応抵抗を詳細に解析することができる。   According to the impedance characteristic evaluation method of the present invention, the convergence value of the real component of the impedance when the measurement frequency is increased is calculated as the battery membrane resistance, and the battery response is obtained by subtracting the membrane resistance from the battery impedance. Since the resistance is calculated, the reaction resistance can be analyzed in detail.

本発明のインピーダンス特性評価装置によれば、測定周波数を上昇させたときのインピーダンスの実数成分の収束値を電池の膜抵抗として算出し、電池のインピーダンスから上記膜抵抗を減算することで電池の反応抵抗を算出するので、反応抵抗を詳細に解析することができる。   According to the impedance characteristic evaluation apparatus of the present invention, the convergence value of the real component of the impedance when the measurement frequency is increased is calculated as the battery membrane resistance, and the battery response is subtracted from the battery impedance. Since the resistance is calculated, the reaction resistance can be analyzed in detail.

以下、図１〜図４を参照して、本発明によるインピーダンス特性評価方法の一実施形態について説明する。   Hereinafter, an embodiment of an impedance characteristic evaluation method according to the present invention will be described with reference to FIGS.

図１は、電池セルのインピーダンス特性を計測する際の接続状態を示す図である。   FIG. 1 is a diagram illustrating a connection state when measuring impedance characteristics of battery cells.

図１に示すように、燃料電池セル１は、アノード１２、電解質膜１１およびカソード１３を順次積層して構成される。   As shown in FIG. 1, the fuel cell 1 is configured by sequentially stacking an anode 12, an electrolyte membrane 11, and a cathode 13.

インピーダンス特性の計測時には、アノード１２およびカソード１３の間に、インピーダンス計測器２および電子負荷３が直列に接続される。また、制御・演算装置４は、インピーダンス計測器２および電子負荷３の動作を制御するとともに、インピーダンス特性の計測、評価のための演算処理を実行する。   When measuring the impedance characteristic, the impedance measuring instrument 2 and the electronic load 3 are connected in series between the anode 12 and the cathode 13. The control / arithmetic apparatus 4 controls the operations of the impedance measuring instrument 2 and the electronic load 3 and executes arithmetic processing for measuring and evaluating impedance characteristics.

図１に示すように、制御・演算装置４は、測定周波数を変えながら燃料電池セル１のインピーダンスを測定する測定手段４１と、測定周波数を上昇させたときのインピーダンスの実数成分の収束値を燃料電池セル１の膜抵抗として算出する膜抵抗算出手段４２と、燃料電池セル１のインピーダンスから膜抵抗を減算することで燃料電池セル１の反応抵抗を算出する反応抵抗算出手段４３と、を構成する。   As shown in FIG. 1, the control / arithmetic unit 4 uses a measurement means 41 for measuring the impedance of the fuel cell 1 while changing the measurement frequency, and the convergence value of the real component of the impedance when the measurement frequency is raised. A membrane resistance calculation unit 42 that calculates the membrane resistance of the battery cell 1 and a reaction resistance calculation unit 43 that calculates the reaction resistance of the fuel cell 1 by subtracting the membrane resistance from the impedance of the fuel cell 1 are configured. .

図２は、インピーダンス特性を計測する手順を示すフローチャートである。   FIG. 2 is a flowchart showing a procedure for measuring impedance characteristics.

図２のステップＳ１では、測定手段４１の制御に基づき、電子負荷３の負荷電流に重畳する交流の周波数（測定周波数）を変えながら燃料電池セル１のインピーダンスを測定する。   In step S <b> 1 of FIG. 2, the impedance of the fuel cell 1 is measured while changing the AC frequency (measurement frequency) superimposed on the load current of the electronic load 3 based on the control of the measuring means 41.

ここでは、負荷電流として直流成分（Ｉｄｃ）に加えて十分振幅の小さな交流成分（Ｉａｃ）を重畳した電流（Ｉｄｃ＋Ｉａｃ）を与える。一般的には、この交流成分として正弦波が使用される。インピーダンス計測器２は、この電流摂動に対する電池電圧（Ｖｄｃ＋Ｖａｃ）の変化を測定し、交流成分のゲイン特性、位相遅れを得る。測定周波数を順次変えながら、それぞれの周波数でのゲインおよび位相を測定することで、燃料電池セル１のインピーダンス特性を得ることができる。   Here, a current (Idc + Iac) obtained by superimposing an alternating current component (Iac) having a sufficiently small amplitude in addition to the direct current component (Idc) is given as a load current. Generally, a sine wave is used as this alternating current component. The impedance measuring instrument 2 measures the change of the battery voltage (Vdc + Vac) with respect to this current perturbation, and obtains the gain characteristic and phase delay of the AC component. The impedance characteristic of the fuel cell 1 can be obtained by measuring the gain and phase at each frequency while sequentially changing the measurement frequency.

図３（ａ）は、このようにして測定されたインピーダンス特性を複素平面図により示す図である。   FIG. 3A is a diagram showing the impedance characteristics measured in this way in a complex plan view.

次に、ステップＳ２では、膜抵抗算出手段４２により、ステップＳ１において測定されたインピーダンス特性に基づいて、膜抵抗Ｚmemを算出する。   Next, in step S2, the membrane resistance calculation unit 42 calculates the membrane resistance Zmem based on the impedance characteristic measured in step S1.

ここでは、インピーダンス特性のグラフ（図３（ａ））と実軸との交点の座標を燃料電池セル１の膜抵抗Ｚmemとして算出することができる。グラフ（図３（ａ））と実軸との交点は、測定周波数を上昇させたときのインピーダンスの実数成分の収束値に相当している。このように、膜抵抗Ｚmemは実数部だけをもち、虚数成分をもたない。   Here, the coordinates of the intersection between the impedance characteristic graph (FIG. 3A) and the real axis can be calculated as the membrane resistance Zmem of the fuel cell 1. The intersection between the graph (FIG. 3A) and the real axis corresponds to the convergence value of the real component of the impedance when the measurement frequency is increased. Thus, the film resistance Zmem has only a real part and no imaginary component.

グラフ上の交点を用いる代わりに、図４（ａ）に示すような燃料電池セル１の等価回路の素子の定数をフィッティングにより求め、抵抗Ｒ１の値を膜抵抗Ｚmenとしてもよい。なお、図４（ａ）において、抵抗Ｒ２、抵抗Ｒ３、コンデンサＣ２およびコンデンサＣ３からなる回路は、反応抵抗に相当する。等価回路は図４（ａ）に示すものに限定されず、燃料電池セルのインピーダンス特性に応じて適切な等価回路が選択される。   Instead of using the intersection on the graph, the constant of the element of the equivalent circuit of the fuel cell 1 as shown in FIG. 4A may be obtained by fitting, and the value of the resistance R1 may be used as the membrane resistance Zmen. In FIG. 4A, a circuit composed of a resistor R2, a resistor R3, a capacitor C2, and a capacitor C3 corresponds to a reaction resistance. The equivalent circuit is not limited to that shown in FIG. 4A, and an appropriate equivalent circuit is selected according to the impedance characteristics of the fuel cell.

次に、ステップＳ３では、反応抵抗算出手段４３において燃料電池セル１のインピーダンスから膜抵抗Ｚmemを減算することにより、燃料電池セル１の反応抵抗Ｚactを算出する。   Next, in step S <b> 3, the reaction resistance calculation unit 43 calculates the reaction resistance Zact of the fuel cell 1 by subtracting the membrane resistance Zmem from the impedance of the fuel cell 1.

ここで、燃料電池セル１の実数部をＺreal、虚数部をＺimg、反応抵抗Ｚactの実数部をＺ´real、虚数部をＺ´img、位相角をθ´とすると、   Here, if the real part of the fuel cell 1 is Zreal, the imaginary part is Zimg, the real part of the reaction resistance Zact is Z'real, the imaginary part is Z'img, and the phase angle is θ ',

Figure 2013229349
が成立する。
Figure 2013229349
 Is established.

図３（ｂ）は、燃料電池セル１のインピーダンスを膜抵抗Ｚmemおよび反応抵抗Ｚactに分離した様子を示す図である。また、図３（ｃ）は、膜抵抗Ｚmemを減算することにより得られた反応抵抗Ｚactのインピーダンス特性を示す図である。   FIG. 3B is a diagram showing a state in which the impedance of the fuel cell 1 is separated into the membrane resistance Zmem and the reaction resistance Zact. FIG. 3C is a diagram showing impedance characteristics of the reaction resistance Zact obtained by subtracting the membrane resistance Zmem.

次に、ステップＳ４では、図３（ｃ）に示す複素平面図、あるいはボード線図等を用いて示される、反応抵抗Ｚactのインピーダンス特性の解析・評価を行い、処理を終了する。   Next, in step S4, the impedance characteristic of the reaction resistance Zact shown by using the complex plan view or the Bode diagram shown in FIG. 3C is analyzed and evaluated, and the process is terminated.

以上のように、本実施形態のインピーダンス特性評価方法によれば、膜抵抗と反応抵抗を分離することで、周波数に依存する特性を有する反応抵抗について、その周波数特性を単独で再計算することが可能となる。これにより、反応抵抗のみを抽出して詳細な解析・評価を行うことができる。   As described above, according to the impedance characteristic evaluation method of the present embodiment, by separating the membrane resistance and the reaction resistance, it is possible to independently recalculate the frequency characteristic of the reaction resistance having a frequency-dependent characteristic. It becomes possible. Thereby, only reaction resistance can be extracted and a detailed analysis and evaluation can be performed.

図４（ｂ）は、測定系のインピーダンスの影響で、測定周波数を上昇させたときにインピーダンスが実数成分に収束しない場合を例示する図である。図４（ｂ）の例では、測定系に起因するＬ成分によって高周波領域で位相の進みが発生する。このような場合には、実軸との交点から膜抵抗Ｚmemを求めることはできない。また、図４（ａ）に示すような等価回路でのフィッティングも不可能となる。したがって、この場合には、ステップＳ２において、図４（ｃ）に示すような測定系のインピーダンスを加えた等価回路を用いてフィッティングを行い、抵抗値Ｒ１を膜抵抗Ｚmemとして求めることができる。図４（ｃ）において、Ｌ成分（Ｌ１）が、測定系に起因するインピーダンスに相当する。   FIG. 4B is a diagram illustrating a case where the impedance does not converge to the real component when the measurement frequency is increased due to the influence of the impedance of the measurement system. In the example of FIG. 4B, the phase advance occurs in the high frequency region due to the L component caused by the measurement system. In such a case, the membrane resistance Zmem cannot be obtained from the intersection with the real axis. Further, fitting with an equivalent circuit as shown in FIG. Therefore, in this case, in step S2, fitting is performed using an equivalent circuit to which the impedance of the measurement system as shown in FIG. 4C is added, and the resistance value R1 can be obtained as the membrane resistance Zmem. In FIG. 4C, the L component (L1) corresponds to the impedance caused by the measurement system.

このように、測定系のインピーダンスを考慮した等価回路を用いてフィッティングを行うことで、実際に高い頻度で発生する測定系のインピーダンス（Ｌ成分）の影響をシミュレーションによって除去できる。これにより真の膜抵抗を抽出することができ、反応抵抗を正しく計算することが可能となる。   Thus, by performing fitting using an equivalent circuit that takes into account the impedance of the measurement system, the influence of the impedance (L component) of the measurement system that is actually generated at a high frequency can be eliminated by simulation. As a result, the true membrane resistance can be extracted, and the reaction resistance can be calculated correctly.

本発明の適用範囲は上記実施形態に限定されることはない。本発明は、電池のインピーダンス特性を評価するインピーダンス特性評価方法およびインピーダンス特性評価装置に対し、広く適用することができる。   The scope of application of the present invention is not limited to the above embodiment. The present invention can be widely applied to an impedance characteristic evaluation method and an impedance characteristic evaluation apparatus for evaluating the impedance characteristics of a battery.

電池セルのインピーダンス特性を計測する際の接続状態を示す図。The figure which shows the connection state at the time of measuring the impedance characteristic of a battery cell. 図２は、インピーダンス特性を計測する手順を示すフローチャート。FIG. 2 is a flowchart showing a procedure for measuring impedance characteristics. インピーダンス特性を示す図であり、（ａ）は、燃料電池セルのインピーダンス特性を示す図、（ｂ）は、燃料電池セルのインピーダンスを膜抵抗Ｚmenおよび反応抵抗Ｚactに分離した様子を示す図、（ｃ）は、膜抵抗Ｚmemを減算することにより得られた反応抵抗Ｚactのインピーダンス特性を示す図。It is a figure which shows an impedance characteristic, (a) is a figure which shows the impedance characteristic of a fuel cell, (b) is a figure which shows a mode that the impedance of the fuel cell was isolate | separated into the membrane resistance Zmen and the reaction resistance Zact, (c) is a figure which shows the impedance characteristic of reaction resistance Zact obtained by subtracting membrane resistance Zmem. フィッティングの方法を示す図であり、（ａ）は燃料電池セルの等価回路を例示する図、（ｂ）は測定系のインピーダンスの影響で、測定周波数を上昇させたときにインピーダンスが実数成分に収束しない場合を例示する図、（ｃ）は測定系のインピーダンスを加えた等価回路を示す図。It is a figure which shows the method of fitting, (a) is a figure which illustrates the equivalent circuit of a fuel cell, (b) is the influence of the impedance of a measurement system, and when a measurement frequency is raised, an impedance will converge on a real component The figure which illustrates the case where it does not carry out, (c) is a figure which shows the equivalent circuit which added the impedance of the measurement system.

１ 燃料電池セル
１１ 電解質膜
１２ アノード
１３ カソード
２ インピーダンス計測器
３ 電子負荷
４ 制御・演算装置
４１ 測定手段
４２ 膜抵抗算出手段
４３ 反応抵抗算出手段 DESCRIPTION OF SYMBOLS 1 Fuel cell 11 Electrolyte membrane 12 Anode 13 Cathode 2 Impedance measuring device 3 Electronic load 4 Control / arithmetic apparatus 41 Measuring means 42 Membrane resistance calculating means 43 Reaction resistance calculating means

Claims (2)

電池のインピーダンス特性を評価するインピーダンス特性評価方法において、
測定周波数を変えながら電池のインピーダンスを測定するステップと、
前記測定周波数を上昇させたときの前記インピーダンスの実数成分の収束値を前記電池の膜抵抗として算出するステップと、
前記電池のインピーダンスから前記膜抵抗を減算することで前記電池の反応抵抗を算出するステップと、
を備え、
前記膜抵抗を算出するステップでは、等価回路に対するフィッティングを用いて前記膜抵抗を算出し、
前記等価回路には、測定系のインピーダンス成分が付加されることを特徴とするインピーダンス特性評価方法。 In the impedance characteristic evaluation method for evaluating the impedance characteristic of a battery,
Measuring the battery impedance while changing the measurement frequency;
Calculating the convergence value of the real component of the impedance when the measurement frequency is raised as the membrane resistance of the battery;
Calculating the reaction resistance of the battery by subtracting the membrane resistance from the impedance of the battery;
Bei to give a,
In the step of calculating a pre Kimaku resistance, calculate the membrane resistance with fitting for the equivalent circuit,
The front Symbol equivalent circuit features and to Louis impedance characteristics evaluating method that impedance component of the measurement system is added. 電池のインピーダンス特性を評価するインピーダンス特性評価装置において、
測定周波数を変えながら電池のインピーダンスを測定する測定手段と、
前記測定周波数を上昇させたときの前記インピーダンスの実数成分の収束値を前記電池の膜抵抗として算出する膜抵抗算出手段と、
前記電池のインピーダンスから前記膜抵抗を減算することで前記電池の反応抵抗を算出する反応抵抗算出手段と、
を備え、
前記膜抵抗算出手段は、等価回路に対するフィッティングを用いて前記膜抵抗を算出し、
前記等価回路には、測定系のインピーダンス成分が付加されることを特徴とするインピーダンス特性評価装置。 In an impedance characteristic evaluation apparatus for evaluating the impedance characteristic of a battery,
Measuring means for measuring the impedance of the battery while changing the measurement frequency;
Membrane resistance calculation means for calculating the convergence value of the real component of the impedance when the measurement frequency is increased as the membrane resistance of the battery;
Reaction resistance calculating means for calculating the reaction resistance of the battery by subtracting the membrane resistance from the impedance of the battery;
Bei to give a,
The membrane resistance calculating means calculates the membrane resistance using a fitting for an equivalent circuit,
An impedance characteristic evaluation apparatus , wherein an impedance component of a measurement system is added to the equivalent circuit .
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JPH0719806A (en) * 1993-07-02 1995-01-20 Tetsuo Shoji Method and device for measuring coating thickness and material change
JP2000028662A (en) * 1998-07-13 2000-01-28 Nec Corp Method for evaluating planar inductor
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JPH0719806A (en) * 1993-07-02 1995-01-20 Tetsuo Shoji Method and device for measuring coating thickness and material change
JP2000028662A (en) * 1998-07-13 2000-01-28 Nec Corp Method for evaluating planar inductor
JP2003297408A (en) * 2002-01-31 2003-10-17 Denso Corp Water content sensor and fuel cell system using the same
WO2007110970A1 (en) * 2006-03-29 2007-10-04 The Tokyo Electric Power Company, Incorporated Method for calculating interface resistance

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2016024852A (en) * 2014-07-16 2016-02-08 日産自動車株式会社 Fuel battery internal state-estimating device

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