JPH0125418B2 - - Google Patents

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Publication number
JPH0125418B2
JPH0125418B2 JP56078030A JP7803081A JPH0125418B2 JP H0125418 B2 JPH0125418 B2 JP H0125418B2 JP 56078030 A JP56078030 A JP 56078030A JP 7803081 A JP7803081 A JP 7803081A JP H0125418 B2 JPH0125418 B2 JP H0125418B2
Authority
JP
Japan
Prior art keywords
section
current
internal resistance
limiting current
voltage
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
Application number
JP56078030A
Other languages
Japanese (ja)
Other versions
JPS57192851A (en
Inventor
Haruyoshi Kondo
Keiichi Saji
Takashi Takeuchi
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Toyota Central R&D Labs Inc
Original Assignee
Toyota Central R&D Labs Inc
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Toyota Central R&D Labs Inc filed Critical Toyota Central R&D Labs Inc
Priority to JP56078030A priority Critical patent/JPS57192851A/en
Priority to US06/373,257 priority patent/US4626338A/en
Publication of JPS57192851A publication Critical patent/JPS57192851A/en
Publication of JPH0125418B2 publication Critical patent/JPH0125418B2/ja
Granted legal-status Critical Current

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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N27/00—Investigating or analysing materials by the use of electric, electrochemical, or magnetic means
    • G01N27/26—Investigating or analysing materials by the use of electric, electrochemical, or magnetic means by investigating electrochemical variables; by using electrolysis or electrophoresis
    • G01N27/403—Cells and electrode assemblies
    • G01N27/406—Cells and probes with solid electrolytes
    • G01N27/4065—Circuit arrangements specially adapted therefor

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  • Chemical & Material Sciences (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Health & Medical Sciences (AREA)
  • Physics & Mathematics (AREA)
  • Chemical Kinetics & Catalysis (AREA)
  • Electrochemistry (AREA)
  • Molecular Biology (AREA)
  • Analytical Chemistry (AREA)
  • Biochemistry (AREA)
  • General Health & Medical Sciences (AREA)
  • General Physics & Mathematics (AREA)
  • Immunology (AREA)
  • Pathology (AREA)
  • Measuring Oxygen Concentration In Cells (AREA)

Description

【発明の詳細な説明】 この発明は限界電流式酸素センサの出力に温度
補償を行なつた限界電流式酸素濃度検出装置に関
し、その目的はセンサの酸素濃度対限界電流特性
の温度依存性による出力誤差を補償し、使用温度
範囲の制約を解放して、高精度、広使用範囲での
使用を可能にすることにある。
DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a limiting current type oxygen concentration detection device that performs temperature compensation on the output of a limiting current type oxygen sensor. The objective is to compensate for errors and release restrictions on the operating temperature range, enabling high precision and wide operating ranges.

今日の社会において火力発電所、自動車用内燃
機関等の多くの燃焼装置が実用され、様々な形で
我々の生活に貢献していることはいうまでもな
い。これ等の装置は運転条件が適切でないと多量
の有害ガスを発生する恐れがある。又、低燃費化
の要請も強い。
It goes without saying that in today's society, many combustion devices such as thermal power plants and internal combustion engines for automobiles are in practical use and contribute to our lives in various ways. These devices can generate large amounts of harmful gases if operating conditions are not appropriate. There is also a strong demand for lower fuel consumption.

排気の清浄化と低燃費化を図る方法として燃料
希薄(リーンと略す)領域での燃焼が有望であ
る。例えばデイーゼル機関等は本来リーン領域で
運転されるのが常であるが、ガソリン機関におい
てもリーン領域での運転が有望である。
Combustion in the fuel lean (abbreviated as "lean") region is a promising method for purifying exhaust gas and improving fuel efficiency. For example, diesel engines and the like are normally operated in a lean region, but gasoline engines are also expected to be operated in a lean region.

これ等のリーン領域で運転する機関においても
空燃比の調節が不適切なる時には煤の発生、失火
による未燃燃料排出や出力低下等々の不都合な問
題が生じ、リーン領域での運転の目的にそぐわな
いばかりか返つて逆効果となるような恐れすらあ
る。それ故、空燃比の調節は極めて重要事項であ
る。ところで、あらゆる制御の常として制御対象
(ここではリーン領域の空燃比)を精密かつ高速
に検出できねばならない。従来この分野では必ず
しも適切なセンサが存在しなかつた。例えば磁気
式(酸素濃度検出器)は応答が遅く車載に不適切
であり、気体密度式あるいは熱伝導度式センサは
微量の水素(H2)混入により測定精度に大きな
影響を受ける等の問題があつて機関の燃焼制御に
は適さなかつた。
Even in these engines that operate in the lean region, if the air-fuel ratio is improperly adjusted, inconvenient problems such as soot generation, unburned fuel discharge due to misfire, and reduced output occur, which defeats the purpose of operating in the lean region. There is even a fear that it may have the opposite effect. Therefore, adjusting the air-fuel ratio is extremely important. Incidentally, as is common in all types of control, it is necessary to be able to detect the control target (in this case, the air-fuel ratio in the lean region) precisely and at high speed. Until now, suitable sensors have not always existed in this field. For example, magnetic type sensors (oxygen concentration detectors) have slow responses and are unsuitable for use in vehicles, while gas density type or thermal conductivity type sensors have problems such as measurement accuracy being significantly affected by trace amounts of hydrogen (H 2 ). It was not suitable for engine combustion control.

これに対し、我々は先に限界電流を測定して酸
素ガス濃度を分析するセンサ(以下、限界電流式
酸素センサと略す)を提案(特開昭52−72286号
公報)し、また陰極を多孔質層で被覆した酸素濃
度センサを開発(特願昭55−123677号、特開昭57
−48648号公報)して対処した。この限界電流式
酸素センサは従来センサの持つ種々の困難を解決
するものであつた。この方式は非常に有効なもの
ではあるが尚、若干の問題点があることは否めな
い。すなわち、自動車用機関等の燃焼装置では運
転状態によつて排気の温度が変動するのが常であ
る。それ故、排気センサである限界電流式酸素濃
度センサも低温から高温迄の広い温度領域での作
動を要求されている。ところで、限界電流式酸素
センサは温度によつて内部抵抗が大きく変化する
こと酸素濃度対限界電流の対応関係が若干変わる
という二つの問題点を有する。本発明は二つの問
題点の内で温度により酸素濃度対限界電流の対応
関係が変わる問題について解決方法を与えようと
するものである。
In response to this, we first proposed a sensor that measures the limiting current and analyzes the oxygen gas concentration (hereinafter referred to as the limiting current oxygen sensor) (Japanese Patent Application Laid-open No. 72286/1986), and also added a porous cathode. Developed an oxygen concentration sensor coated with a carbonaceous layer (Japanese Patent Application No. 123677/1983, Japanese Unexamined Patent Publication No. 1983
-48648 Publication). This limiting current type oxygen sensor solves various difficulties associated with conventional sensors. Although this method is very effective, it cannot be denied that there are some problems. That is, in combustion devices such as automobile engines, the temperature of the exhaust gas usually fluctuates depending on the operating conditions. Therefore, the limiting current type oxygen concentration sensor, which is an exhaust sensor, is also required to operate in a wide temperature range from low to high temperatures. By the way, the limiting current type oxygen sensor has two problems: its internal resistance changes greatly depending on temperature, and the correspondence relationship between oxygen concentration and limiting current changes slightly. The present invention attempts to provide a solution to two problems in which the correspondence relationship between oxygen concentration and limiting current changes depending on temperature.

第1図aには限界電流式酸素センサの断面の構
造の一例を示す。1aは酸素イオン伝導体から成
る板あるいは円筒である。その材質としてはジル
コニアにY2O3,Yb2O3,Gd2O3,MgO,CaO,
Sc2O3等を安定剤として固溶させたもの、あるい
はBi2O3にY2O3,Er2O3,WO3等を安定剤として
固溶させたもの又はHfO2,ThO2等にCaO,
MgO,Y2O3,Yb2O3等を安定剤として固溶させ
た緻密な焼結体である。1bは陽極でありイオン
伝導体の一面に設け、それと対向する他の面に陰
極1dを設ける。陰陽両極はPt,Ag,Rh,Ir,
Pd等もしくはこれ等の混合材からなる耐熱性の
電子伝導体から成り、これ等の素材を用いれば酸
素イオン伝導体と電極の界面抵抗を実用上は小さ
くすることが可能である。陰極1dは有孔函体で
被覆されている。第1図aにはその一実施態様と
して多孔質層1fで被覆する構造例を示した。こ
れは陰極1dへ流入する酸素流量を制限する機能
を有する。また陽極1bが付着物等によつて劣化
するのを防止する目的で多孔質の保護層1eで陽
極を被覆した。多孔質層1fおよび1eはアルミ
ナ、マグネシヤ、ケイ石質、スピネル、ムライト
等の耐熱性無機物質から成る。多孔質層1eは多
孔質層1fと比較してガス透過性を同等もしくは
大きくすることが望ましい。その理由は動作時に
おいて多孔質層1fでは外界から陰極1dを経由
して酸素イオン伝導体1aへ吸い込む酸素透過量
を律速する働きをさせるのに対し、多孔質層1e
は酸素イオン伝導体1aから陽極1bを経由して
外界へ酸素を抵抗なく排出するためである。陰陽
両極からはそれぞれリード線1iを出す。リード
線の材質としては電極と同様にPt,Ag,Rh,
Ir,Pd等もしくはそれ等の混合材料から成る耐
熱性の電子伝導体である。上記構成の限界電流式
酸素センサの陰極に負の、陽極に正の電圧を印加
するとともに該素子全体を被測定ガスに接触せし
めると、被測定ガス中の酸素ガスは陰極によつて
還元せられて酸素イオンとなり、該酸素イオンは
酸素イオン伝導体中を移動して陽極に達し、陽極
によつて酸化されて再び酸素ガスになつて素子の
外へ排出される。何等かの手法により陰極と酸素
イオン伝導体の界面へ到達する酸素ガス量を制限
したとすると、陰極での還元によつて生成する酸
素イオン量が制限を受け、酸素イオンによつて運
ばれる電荷量(電流)が制限を受けるため、電圧
にかかわらず一定の電流しか流れられなくなり第
1図bに示したような限界電流特性を生ずるよう
になる。このため酸素センサの限界電流特性にお
いては、陰陽両電極に印加する電圧を零から除々
に増加していくと第1図bに示すように電圧が低
い間は陰陽両電極間に流れる電流は電圧に略々比
例的に増加する(この電圧領域を抵抗支配領域と
称する)が、ある電圧範囲では電流は電圧によら
ず略々一定となる(この電圧領域を過電圧支配領
域と称する)。過電圧領域での電流を限界電流と
称するが、限界電流値は被測定ガス中の酸素濃度
と略々比例関係にあるから、限界電流値を求めれ
ば被測定ガス中の酸素濃度を検出できる。又、限
界電流が酸素濃度に略々比例する理由は有孔函体
等のガス流制限体内を拡散によつて移動できる酸
素量が該制限体の内外の酸素濃度差に比例するこ
とと、過電圧支配領域においては該制限体の内側
の酸素が陰極を経由して酸素イオン伝導体へ吸い
込まれるため酸素濃度が零に近くなつており、該
制限体の内外の酸素濃度差が、該制限体の外側の
酸素濃度とほとんど等しくなることによる。
FIG. 1a shows an example of the cross-sectional structure of a limiting current type oxygen sensor. 1a is a plate or cylinder made of an oxygen ion conductor. Its materials include zirconia, Y 2 O 3 , Yb 2 O 3 , Gd 2 O 3 , MgO, CaO,
Sc 2 O 3 etc. as a solid solution as a stabilizer, or Bi 2 O 3 as a stabilizer with Y 2 O 3 , Er 2 O 3 , WO 3 etc. as a solid solution, or HfO 2 , ThO 2 etc. CaO,
It is a dense sintered body containing MgO, Y 2 O 3 , Yb 2 O 3 , etc. as a solid solution as a stabilizer. An anode 1b is provided on one surface of the ion conductor, and a cathode 1d is provided on the other surface facing the anode. The negative and positive poles are Pt, Ag, Rh, Ir,
It is made of a heat-resistant electron conductor made of Pd or a mixture thereof, and if these materials are used, it is possible to practically reduce the interfacial resistance between the oxygen ion conductor and the electrode. The cathode 1d is covered with a perforated box. FIG. 1a shows an example of a structure covered with a porous layer 1f as one embodiment thereof. This has the function of limiting the flow rate of oxygen flowing into the cathode 1d. Further, in order to prevent the anode 1b from deteriorating due to deposits or the like, the anode was covered with a porous protective layer 1e. The porous layers 1f and 1e are made of a heat-resistant inorganic material such as alumina, magnesia, silica, spinel, or mullite. It is desirable that the porous layer 1e has gas permeability equal to or greater than that of the porous layer 1f. The reason for this is that during operation, the porous layer 1f acts to control the rate of oxygen permeation from the outside world via the cathode 1d to the oxygen ion conductor 1a, whereas the porous layer 1e
This is to discharge oxygen from the oxygen ion conductor 1a to the outside world without resistance via the anode 1b. Lead wires 1i are taken out from both the negative and positive poles. As with the electrodes, the material of the lead wire is Pt, Ag, Rh,
It is a heat-resistant electron conductor made of Ir, Pd, etc. or a mixture of these materials. When a negative voltage is applied to the cathode and a positive voltage is applied to the anode of the limiting current type oxygen sensor configured as described above, and the entire element is brought into contact with the gas to be measured, the oxygen gas in the gas to be measured is reduced by the cathode. The oxygen ions move through the oxygen ion conductor, reach the anode, are oxidized by the anode, become oxygen gas again, and are discharged from the device. If the amount of oxygen gas that reaches the interface between the cathode and the oxygen ion conductor is limited by some method, the amount of oxygen ions generated by reduction at the cathode will be limited, and the charge carried by the oxygen ions will be limited. Since the amount (current) is limited, only a constant current can flow regardless of the voltage, resulting in a limiting current characteristic as shown in FIG. 1b. Therefore, in the limiting current characteristics of an oxygen sensor, when the voltage applied to both the negative and positive electrodes is gradually increased from zero, as shown in Figure 1b, while the voltage is low, the current flowing between the positive and negative electrodes is equal to the voltage. The current increases approximately proportionally to (this voltage region is referred to as the resistance dominated region), but within a certain voltage range, the current remains approximately constant regardless of the voltage (this voltage region is referred to as the overvoltage dominated region). The current in the overvoltage region is called a limiting current, and since the limiting current value is approximately proportional to the oxygen concentration in the gas to be measured, the oxygen concentration in the gas to be measured can be detected by determining the limiting current value. The reason why the limiting current is approximately proportional to the oxygen concentration is that the amount of oxygen that can be moved by diffusion within a gas flow restricting body such as a perforated box is proportional to the difference in oxygen concentration between the inside and outside of the restricting body, and the reason why the limiting current is approximately proportional to the oxygen concentration is that In the dominant region, the oxygen inside the limiting body is sucked into the oxygen ion conductor via the cathode, so the oxygen concentration is close to zero, and the difference in oxygen concentration inside and outside the limiting body is This is due to the oxygen concentration being almost equal to the outside oxygen concentration.

前述の如く、本例は該制限体として多孔質層を
用いる方式について説明したものであるが、陰極
自体を該制限体として利用した酸素センサについ
ても以下に述べる本発明は適用できる。
As mentioned above, this example describes a method using a porous layer as the limiting body, but the present invention described below can also be applied to an oxygen sensor using the cathode itself as the limiting body.

抵抗支配領域では電解質(酸素イオン伝導体)
の内部抵抗および電解質と電極界面の抵抗の和に
より電圧/電流比がほぼ決められている。過電圧
支配領域より電圧電流の高い領域では少しの電圧
上昇に対して急に電流の増加する部分がある。こ
れは限界電流式酸素センサの印加電圧がある限界
値を超えると排気中に多量に含まれている二酸化
炭素(CO2)や水素気(H2O)の一部が分解され
て酸素濃度が増加した様に見えるためである。こ
の領域を過剰電流領域ということにする。上記の
如く、印加電圧が低いと抵抗支配領域になり、逆
に印加電圧が高いと過剰電流領域になるので限界
電流の検出は両領域にはさまれた部分で行なわね
ばならない。この範囲はガスの組成や電極の組成
によつて異なる。窒素、アルゴン等の不活性ガス
中に一部酸素を含む雰囲気中においては1.3〜1.6
〔V〕程度であるが、燃焼排気のような二酸化炭
素や水蒸気を多量に含むガス中に一部酸素を含む
雰囲気中では0.6〜0.8〔V〕程度である。一般に
内部抵抗による電圧降下の最大値を0.5〔V〕程度
に限定して、印加電圧としては0.6〜0.75〔V〕に
設定して用いると内部抵抗および過剰電流の影響
を受けにくく好都合な場合が多い。
Electrolyte (oxygen ion conductor) in the resistance dominated region
The voltage/current ratio is approximately determined by the sum of the internal resistance of the electrode and the resistance of the electrolyte and electrode interface. In a region where the voltage and current are higher than the overvoltage control region, there are parts where the current suddenly increases in response to a small voltage rise. This is because when the applied voltage of the limiting current type oxygen sensor exceeds a certain limit value, part of the carbon dioxide (CO 2 ) and hydrogen gas (H 2 O) contained in large amounts in the exhaust gas is decomposed and the oxygen concentration decreases. This is because it appears to have increased. This region will be referred to as an excessive current region. As mentioned above, when the applied voltage is low, the region becomes a resistance-dominated region, and conversely, when the applied voltage is high, the region becomes an excessive current region, so the detection of the limiting current must be performed at a portion sandwiched between the two regions. This range varies depending on the gas composition and the electrode composition. 1.3 to 1.6 in an atmosphere containing some oxygen in an inert gas such as nitrogen or argon.
[V], but in an atmosphere containing a portion of oxygen in a gas containing a large amount of carbon dioxide and water vapor, such as combustion exhaust, it is about 0.6 to 0.8 [V]. In general, it may be advantageous to limit the maximum voltage drop due to internal resistance to about 0.5 [V] and set the applied voltage to 0.6 to 0.75 [V] to avoid being affected by internal resistance and excessive current. many.

第2図は従来技術による限界電流の測定回路を
示すもので、限界電流式酸素センサ1に定電圧印
加部2から定電圧を印加したときの電流を電流検
出部3によつて検出する構成となつている。第3
図はその従来技術による酸素濃度と限界電流の関
係を示すものである。図から明らかなようにセン
サの温度によつて酸素濃度と限界電流の対応関係
が変わるので精度が悪化し問題である。尚、高酸
素濃度領域では酸素濃度と限界電流が比例しない
領域があるが、ここでは概ね直線性のある範囲に
限るものとする。
FIG. 2 shows a limiting current measuring circuit according to the prior art, which has a configuration in which the current detecting section 3 detects the current when a constant voltage is applied to the limiting current type oxygen sensor 1 from the constant voltage applying section 2. It's summery. Third
The figure shows the relationship between oxygen concentration and limiting current according to the prior art. As is clear from the figure, the correspondence between the oxygen concentration and the limiting current changes depending on the temperature of the sensor, which causes a problem of poor accuracy. Note that in the high oxygen concentration region, there is a region where the oxygen concentration and the limiting current are not proportional, but this is limited to a generally linear range.

第4図は任意の酸素濃度における限界電流の温
度依存性を示すものである。この温度依存性は主
に気体の拡散係数の温度依存性の影響によるもの
である。
FIG. 4 shows the temperature dependence of the limiting current at a given oxygen concentration. This temperature dependence is mainly due to the influence of the temperature dependence of the gas diffusion coefficient.

多孔質層を酸素ガス流の律速に用いる方式の限
界電流式酸素センサの特性は次式のように表わす
ことができる。
The characteristics of a limiting current type oxygen sensor using a porous layer to control the rate of oxygen gas flow can be expressed as follows.

Il=4FSDo2effP/RTlln(1/1−Po2/P) (1)式 但し、Il:限界電流 F:フアラデー定数 S:酸素流律速部の面積 Do2eff:有効拡散係数 Po2:酸素分圧 P:全圧 R:ガス定数 T:絶対温度 l:多孔質層厚さ ln:自然対数 酸素分圧比Po2/P≪1ならば近似的に Il≒4FSDo2effP/RTl Po2/P (2)式 となる。ここでDo2effは経験的に Do2eff(T)=Do2eff(T0)(T/T0)m+1 (3)式 但し、T0:基準の温度 Do2eff(T):Tにおける有効拡散係数 Do2eff(T0):T0における有効拡散係数 で表わされ、この式における指数m+1はほぼ
1.75であることが知られている。
Il=4FSDo 2 effP/RTlln (1/1-Po 2 /P) (1) Formula where, Il: Limiting current F: Faraday constant S: Area of oxygen flow rate controlling part Do 2 eff: Effective diffusion coefficient Po 2 : Oxygen Partial pressure P: Total pressure R: Gas constant T: Absolute temperature l: Porous layer thickness ln: Natural logarithm If oxygen partial pressure ratio Po 2 /P≪1, approximately Il≒4FSDo 2 effP/RTl Po 2 /P Equation (2) is obtained. Here, Do 2 eff is empirically calculated as Do 2 eff (T) = Do 2 eff (T 0 ) (T/T 0 ) m+1 formula (3) However, T 0 : Reference temperature Do 2 eff (T) : Effective diffusion coefficient at T Do 2 eff (T 0 ): Represented by the effective diffusion coefficient at T 0 , the exponent m+1 in this equation is approximately
It is known to be 1.75.

したがつて、同一酸素分圧における温度T0の
ときの出力電流Il(T0)に対する温度Tのときの
出力電流Il(T)の比、すなわち出力電流の温度
依存性Il(T)/Il(T0)は、 Il(T)/Il(T0)=(T/T0)m (4)式 となる。
Therefore, the ratio of the output current Il (T) at temperature T to the output current Il (T 0 ) at temperature T 0 at the same oxygen partial pressure, that is, the temperature dependence of the output current Il (T)/Il (T 0 ) is expressed as Il(T)/Il(T 0 )=(T/T 0 ) m (4).

気体の拡散係数の温度による変化に起因する限
界電流の温度依存性だけであればセンサの出力電
流は温度により第4図の破線のように直線的
(T0.75)で、かつ小さな変化であるが、実際には
低温領域で内部抵抗が著しく増大し、その内部抵
抗に起因する電圧降下が妨害作用をして、同図の
実線に示されているように急激に限界電流の低下
する特性になる場合もある。この内部抵抗の問題
は本発明者等によつてなされた同時出願の特許出
願の発明によつて解決されており、これを利用す
ることにより破線のような素直な特性に改善する
ことが可能である。
If only the temperature dependence of the limiting current is due to the change in the gas diffusion coefficient due to temperature, then the output current of the sensor will be linear (T 0.75 ) depending on the temperature as shown by the broken line in Figure 4, and the change will be small. In reality, the internal resistance increases significantly in the low-temperature region, and the voltage drop caused by this internal resistance acts as a disturbance, resulting in a characteristic in which the limiting current suddenly decreases, as shown by the solid line in the same figure. In some cases. This problem of internal resistance has been solved by the invention of the concurrently filed patent application filed by the present inventors, and by utilizing this, it is possible to improve the characteristics to be straightforward as shown by the broken line. be.

温度依存性を無くするための一方法として、セ
ンサを一定温度に調節しながら、酸素濃度を測定
することも考えられる。本発明者等はその具体的
手段をも考案し、本願と同時出願の別途の特許出
願をした。しかしながら一般にはセンサを一定温
度に調節するためには、温度検出部、加熱部、電
力調節部等を必要とし、構成が複雑になり、高コ
スト、大型化、多消費電力等の問題を生ずる。
One possible method for eliminating temperature dependence is to measure the oxygen concentration while adjusting the sensor to a constant temperature. The present inventors also devised a specific means for this purpose and filed a separate patent application concurrently with the present application. However, in general, in order to adjust the temperature of the sensor to a constant temperature, a temperature detection section, a heating section, a power adjustment section, etc. are required, resulting in a complicated configuration, resulting in problems such as high cost, large size, and high power consumption.

そこで我々は一定の温度に調節して使うのでは
なく、燃焼等の排気温により限界電流式センサが
加熱され、変動する温度条件下において高精度に
測定する装置を提案するものである。
Therefore, instead of adjusting the temperature to a constant value, we are proposing a device that uses a limiting current sensor that is heated by the temperature of exhaust gas from combustion, etc., and that measures with high precision under fluctuating temperature conditions.

第5図は本発明の基本的構成を示すブロツク図
で、本発明は限界電流式酸素センサ1と、そのセ
ンサ1に過電圧領域の電圧を印加して限界電流を
測定する限界電流測定部4と、センサの温度(内
部抵抗)を測定する温度測定部5と、測定された
温度から温度補正係数を求める温度補正係数演算
部6と、限界電流測定部4の測定値出力を温度補
正係数演算部6の出力によつて補正する補正部7
を備えている。
FIG. 5 is a block diagram showing the basic configuration of the present invention. , a temperature measurement section 5 that measures the temperature (internal resistance) of the sensor, a temperature correction coefficient calculation section 6 that calculates a temperature correction coefficient from the measured temperature, and a temperature correction coefficient calculation section that uses the measured value output of the limit current measurement section 4. a correction unit 7 that corrects based on the output of 6;
It is equipped with

温度測定部5は限界電流式酸素センサ1の内部
抵抗を測定し、その測定値から温度を算出するよ
うに構成することができる。センサの酸素イオン
導電体の抵抗率ρと温度の関係は第6図aおよび
第6図bに示すようなものであり、次式で近似で
きる。尚、第6図bには片対数尺の場合を示す。
The temperature measuring section 5 can be configured to measure the internal resistance of the limiting current type oxygen sensor 1 and calculate the temperature from the measured value. The relationship between the resistivity ρ of the oxygen ion conductor of the sensor and the temperature is as shown in FIGS. 6a and 6b, and can be approximated by the following equation. Incidentally, FIG. 6b shows the case of semi-logarithmic scale.

但し、c1:係数 e:自然対数の基底 E:活性化エネルギ K:ボルツマン定数 T:絶対温度 (5)式において係数c1および活性化エネルギEは
材料組成、焼成条件、不純物等によつて決まる値
である。酸素イオン伝導体としては前述の如き素
成のものを用いればc1が低く良好である。いずれ
の組成の酸素イオン伝導体であつても第6図bに
示した如く温度の低下に伴つて急激に抵抗率が高
くなる。その理由は活性化エネルギの値が0.5〜
1.4〔lV〕程度と高いことによる。又、電解質の内
部抵抗の他にも電解質と電極の界面にも抵抗が存
在するが、これは電解質の表面処理状態、電極材
料等により変化する。電極材料として前述の如き
組成の混合材料を用いれば界面抵抗を実用上は小
さくすることが可能である。
However, c 1 : Coefficient e : Base of natural logarithm E : Activation energy K : Boltzmann's constant T : Absolute temperature In equation (5), the coefficient c 1 and activation energy E depend on material composition, firing conditions, impurities, etc. This is a fixed value. If an oxygen ion conductor having the above-mentioned basic structure is used, c 1 is low and favorable. Regardless of the composition of the oxygen ion conductor, the resistivity increases rapidly as the temperature decreases, as shown in FIG. 6b. The reason is that the activation energy value is 0.5~
This is due to the high voltage of around 1.4 [lV]. In addition to the internal resistance of the electrolyte, there is also resistance at the interface between the electrolyte and the electrode, which varies depending on the surface treatment state of the electrolyte, the electrode material, etc. If a mixed material having the composition described above is used as the electrode material, it is possible to practically reduce the interfacial resistance.

上記の如く限界電流式酸素センサの内部抵抗が
大きな温度依存性を有するので、内部抵抗を測定
することにより温度を知ることができる。
As described above, the internal resistance of the limiting current type oxygen sensor has a large temperature dependence, so the temperature can be determined by measuring the internal resistance.

(5)式より、T=T0のときρ=ρ0としてc1を求め
ると ρ=ρ0eE/K(1/T-1/T0) (7)式 T=1/K/Eloge(ρ/ρ0)+1/T0(8)式 但し、loge:自然対数 (8)式は抵抗率に関する式であるが、一般にセン
サの抵抗率と内部抵抗は比例するとしてさしつか
えないので T=1/K/Eloge(R/R0)+1/T0 (9)式 但し、R:内部抵抗 R0:T0における内部抵抗 EおよびT0とR0の関係はセンサ毎に特定の値
をとるので、内部抵抗Rから絶対温度Tを求める
ことができる。
From equation (5), when T=T 0 , c 1 is found by setting ρ=ρ 0 . ρ=ρ 0 e E/K(1/T-1/T0) Equation (7) T=1/K/Elog e (ρ/ρ 0 )+1/T 0 Equation (8) However, log e : natural logarithm Equation (8) is an equation related to resistivity, but in general it can be assumed that the resistivity and internal resistance of the sensor are proportional, so T = 1/K/Elog e (R/R 0 ) + 1/T 0 Equation (9) However, R: internal resistance R 0 : internal resistance E at T 0 and the relationship between T 0 and R 0 takes a specific value for each sensor, so the absolute temperature T can be determined from the internal resistance R.

そして、温度に関して第4図の温度依存による
誤差をゼロにする関数(T/T0)-mを(4)式に乗ずる ことにより補正を行なう。すなわち、温度補正係
数をα(T)として α(T)=(T/T0)-m (10)式 となる。
Then, correction is made by multiplying equation (4) by a function (T/T 0 ) -m that makes the temperature-dependent error in FIG. 4 zero with respect to temperature. That is, α(T)=(T/T 0 ) −m (10) where α(T) is the temperature correction coefficient.

第5図のブロツク図において、上記温度補正係
数α(T)を求めるのが温度補正係数演算部6で
あり、その補正係数α(T)を限界電流測定部4
の出力に乗じて補正するのが補正部7である。
In the block diagram of FIG. 5, the temperature correction coefficient calculation unit 6 calculates the temperature correction coefficient α(T), and the correction coefficient α(T) is calculated by the limiting current measurement unit 4.
The correction section 7 multiplies and corrects the output.

このようにして、温度依存性を有する限界電流
の値{(4)式}に温度補正項α(T)を乗ずること
により、温度依存分を消去して、酸素分圧のみに
比例する限界電流を求めることができる。
In this way, by multiplying the temperature-dependent limiting current value {Equation (4)} by the temperature correction term α(T), the temperature-dependent component is eliminated and the limiting current is proportional only to the oxygen partial pressure. can be found.

次にα(T)=(T/T0)-mをセンサ内部抵抗から求 める演算について説明する。 Next, the calculation to obtain α(T)=(T/T 0 ) -m from the sensor internal resistance will be explained.

(9)式および(10)式から α(T)=(T/T0)-m={KT0/Eloge(R/R0)+
1}m(11)式 ハードウエア又はソフトウエアによつて(11)式を
演算し、限界電流の測定値に積演算を行なえば良
い。しかしながら(11)式には対数演算および羃乗演
算部を含むから構成がやや複雑になるという難点
もある。
From equations (9) and (10), α(T) = (T/T 0 ) -m = {KT 0 /Elog e (R/R 0 )+
1} m Equation (11) It is sufficient to calculate Equation (11) using hardware or software, and perform a product operation on the measured value of the limiting current. However, equation (11) has the disadvantage that the configuration is somewhat complicated because it includes a logarithm operation and a power operation section.

そこで、精度よりも簡便さを重視するときには
簡易な近似式で代用するのも良い。
Therefore, when simplicity is more important than accuracy, it is a good idea to use a simple approximation formula instead.

先ず、対数演算部を簡易化すると (T/T0)-m≒KT0/E2R/R0−1/R/R0+1+
1m
(12)式 となる。
First, by simplifying the logarithm calculation part, (T/T 0 ) -m ≒KT 0 /E2R/R 0 -1/R/R 0 +1+
1 m
It becomes equation (12).

次に羃乗演算部を簡易化すると (T/T0)-m≒1+2mKT0/E R−R0/R+R0(13)
式 となる。
Next, if we simplify the power calculation section, (T/T 0 ) -m ≒ 1+2mKT 0 /E R−R 0 /R+R 0 (13)
The formula becomes

第7図には y1=logeR/R0 (14)式 なる関数を y2=2R/R0−1/R/R0+1 (15)式 なる近似式で代用した場合のR/R0の適用可能範囲 とその精度について検討したものを示す。 Figure 7 shows the R / A study of the applicable range of R 0 and its accuracy is shown.

0.3<R/R0<3の範囲においては極めて良く一致 しており、近似式として十分実用できることがわ
かる。
It can be seen that in the range of 0.3<R/R 0 <3, there is an extremely good agreement, and it can be used as an approximate formula for practical use.

又、更に簡単化して y3=R/R0−1 (16)式 とした場合についても同図に示す。この場合は加
減算のみで構成できるので演算を著しく簡単化で
きるかわりに対数と近い値になるのは0.6<R/R0< 1.4位と(14)式、(15)式の場合と比べて比較的
狭い範囲に限定される。しかし、後述のようにこ
の極めて簡易な式による実施例でも良好な補償効
果が得られている。
The figure also shows the case where the equation is further simplified to y 3 =R/R 0 -1 (16). In this case, since it can be configured only by addition and subtraction, the calculation can be significantly simplified.However, the value close to the logarithm is 0.6<R/R 0 <1.4 compared to the case of equations (14) and (15). limited to a narrow range. However, as will be described later, a good compensation effect is obtained even in the embodiment using this extremely simple formula.

又、羃乗演算 z1=(1+x)m (17)式 を z2≒(1+mx) (18)式 で代用する点については、このセンサの使用温度
600゜〜1000℃の範囲ではx≪1となり、(18)式
は1〔%〕以内の高精度で近似できるから全く問
題ない。(16)式の近似によれば、 (T/T0)-m≒1+mKT0/E(R/R0−1)(19)
式 である。
Also, regarding the power calculation z 1 = (1 + x) m (17) being replaced by z 2 ≒ (1 + mx) (18), the operating temperature of this sensor is
In the range of 600° to 1000°C, x≪1, and equation (18) can be approximated with high accuracy within 1%, so there is no problem at all. According to the approximation of equation (16), (T/T 0 ) -m ≒1+mKT 0 /E(R/R 0 -1) (19)
It is a formula.

このように簡単化すれば(11)式と異なり、対数も
羃数も含まず(13)式では加減算および商演算に
なり、(19)式では加減算のみになるので、演算
のための装置が著しく簡単に構成できるととも
に、低コストになる。
When simplified in this way, unlike equation (11), equation (13) does not include logarithms or power numbers, and equation (13) involves addition, subtraction, and quotient operations, while equation (19) only requires addition and subtraction, so the equipment for the operations is It is extremely simple to construct and low cost.

温度の測定にはセンサの内部抵抗以外の方法、
例えば感温素子であるサーミスタや熱電対を用い
る方法を用いてもよい。
Temperature can be measured using methods other than the internal resistance of the sensor.
For example, a method using a thermistor or thermocouple as a temperature sensing element may be used.

限界電流式酸素センサの内部抵抗の測定には交
流を用いることができる。
Alternating current can be used to measure the internal resistance of the limiting current type oxygen sensor.

第8図には限界電流センサの過電圧支配領域に
おけるインピーダンスの周波数による軌跡を示
す。すなわち、直流(DC)および無限大(∞)
周波数では抵抗成分のみでリアクタンス分は零で
あるが、途中の周波数においてはリアクタンス成
分も存在する。このようなほぼ半円形の軌跡を描
くセンサの電気的等価回路は第9図の如く表わす
ことができる。第9図においてRbは抵抗支配領
域での内部抵抗に対応している。又、RDは過電
圧領域における電解質と電極との界面に存在する
抵抗を表わし、CDは同様に界面の静電容量を表
わす。
FIG. 8 shows a trajectory of impedance according to frequency in the overvoltage control region of the limit current sensor. i.e. direct current (DC) and infinity (∞)
At the frequency, there is only a resistance component and the reactance component is zero, but at intermediate frequencies there is also a reactance component. The electrical equivalent circuit of a sensor that draws such a nearly semicircular locus can be expressed as shown in FIG. In FIG. 9, Rb corresponds to the internal resistance in the resistance dominated region. Further, R D represents the resistance existing at the interface between the electrolyte and the electrode in the overvoltage region, and C D similarly represents the capacitance at the interface.

従つて、過電圧支配領域において内部抵抗Rb
を求めるにもいくつかの方法が存在し得る。
Therefore, in the overvoltage dominant region, the internal resistance Rb
There may be several ways to find it.

a 1/2πCDRb以上か又はそれに近い周波数でイン ピーダンスの絶対値を求めてRbの近似値とす
る。
a 1/2πC D Find the absolute value of impedance at a frequency equal to or close to Rb and use it as an approximate value of Rb.

b 同上の方法において交流インピーダンス絶対
値と位相角から抵抗分を演算する。
b Calculate the resistance component from the AC impedance absolute value and phase angle using the same method as above.

c 複数の周波数においてインピーダンスの絶対
値や位相角を測定し、等価回路の各定数を求め
る。
c Measure the absolute value and phase angle of impedance at multiple frequencies and find each constant of the equivalent circuit.

これ等の各方法の内でa)の方法が最も簡便で
ある。尚、周波数としてはセンサ素子の大きさ、
製法等により最適に設定する必要があるが通常は
500〔Hz〕〜100〔KHz〕程度が適当である。
Among these methods, method a) is the simplest. The frequency depends on the size of the sensor element,
It is necessary to set it optimally depending on the manufacturing method, etc., but usually
Approximately 500 [Hz] to 100 [KHz] is appropriate.

第10図は、交流によつて内部抵抗を測定し
て、それに基づいて出力の温度補償を行なう実施
例の基本的な回路構成を示すものである。
FIG. 10 shows the basic circuit configuration of an embodiment in which internal resistance is measured using alternating current and temperature compensation of the output is performed based on the measured internal resistance.

限界電流式酸素センサは第1図aと同様の構成
のものである。交流直流重畳電圧印加部12の電
圧は電流検出部13を経由してセンサ1へ供給す
る。電流検出部13で検出された電流信号を交流
直流分離部14へ導く。この分離はハイパスフイ
ルタおよびローパスフイルタを用いることによつ
て行なうことができる。交流直流分離部14で分
離した直流電流成分は限界電流であり酸素濃度に
対応している。内部抵抗演算部15は交流発振器
18の出力電圧と交流直流分離部14で分離した
交流電流成分とから内部抵抗値を算出するもので
ある。得られた内部抵抗値に基づいて、温度補正
係数演算部16において温度補正係数α(t)が
算出される。そのα(t)の算出には、前記(11)式、
(13)式、(19)式等が用いられる。得られた温度
補正係数α(t)に基づいて補正部17において、
測定限界電流に対する補正が行なわれる。以上の
構成において、内部抵抗演算部15、温度補正係
数演算部16および補正部17の部分が出力の温
度依存性の補償部20を構成している。
The limiting current type oxygen sensor has the same construction as that shown in FIG. 1a. The voltage of the AC/DC superimposed voltage applying section 12 is supplied to the sensor 1 via the current detecting section 13 . The current signal detected by the current detection section 13 is guided to the AC/DC separation section 14 . This separation can be achieved by using high pass filters and low pass filters. The DC current component separated by the AC/DC separator 14 is a limiting current and corresponds to the oxygen concentration. The internal resistance calculation unit 15 calculates an internal resistance value from the output voltage of the AC oscillator 18 and the AC current component separated by the AC/DC separation unit 14. Based on the obtained internal resistance value, a temperature correction coefficient α(t) is calculated in the temperature correction coefficient calculating section 16. To calculate α(t), the above formula (11) is used.
Equations (13), (19), etc. are used. Based on the obtained temperature correction coefficient α(t), in the correction unit 17,
Corrections are made to the measurement limit current. In the above configuration, the internal resistance calculating section 15, the temperature correction coefficient calculating section 16, and the correcting section 17 constitute a compensating section 20 for the temperature dependence of the output.

尚、(11)式右辺第1項のloge(R/R0)の対数演算は 例えばテレダインフイルブリツク社の対数変換モ
ジユール4366(又は4367)等を用いれば容易に構
成できる。
Note that the logarithmic operation of log e (R/R 0 ) in the first term on the right side of equation (11) can be easily configured using, for example, the logarithmic conversion module 4366 (or 4367) manufactured by Teledyne Film Corporation.

又、(14)式右辺の羃乗演算等も同社のべき乗
関数モジユール4371等を用いれば容易に構成でき
る。
Furthermore, the power calculation on the right side of equation (14) can be easily configured using the company's power function module 4371 or the like.

第11図は、温度補正係数の算出に(13)式を
用いる実施例を示すものである。
FIG. 11 shows an example in which equation (13) is used to calculate the temperature correction coefficient.

直流電圧印加部21と交流定電流印加部22に
より、直流と交流の電圧又は電流の重畳したもの
を限界電流式酸素センサ1に印加し、電流電圧変
換回路23でセンサに流れる電流またはセンサに
表われる電圧を検出する。検出成分の内でローパ
スフイルタ24により分離した直流分である限界
電流成分を積演算部26へ導く。交流成分はハイ
パスフイルタ25によつて分離し、整流部27で
整流した値から内部抵抗に比例する電圧を得てい
る。センサ1に印加する交流を定電圧としている
ので第10図の内部抵抗の演算部15は省略でき
る。設定条件として交流の周波数は500〜50〔K
Hz〕程度、交流の電流の大きさは限界電流式酸素
センサの端子電圧換算で1〜100〔mV〕程度にす
るのが好適である。
The DC voltage application section 21 and the AC constant current application section 22 apply a superimposed DC and AC voltage or current to the limiting current type oxygen sensor 1, and the current/voltage conversion circuit 23 converts the current flowing through the sensor or the current being displayed on the sensor. Detects the voltage applied. Among the detected components, a limiting current component, which is a direct current component, separated by a low-pass filter 24 is guided to a product calculation section 26 . The AC component is separated by a high-pass filter 25, and a voltage proportional to the internal resistance is obtained from the rectified value by a rectifier 27. Since the alternating current applied to the sensor 1 is a constant voltage, the internal resistance calculating section 15 shown in FIG. 10 can be omitted. As a setting condition, the frequency of AC is 500 to 50 [K
Hz], and the magnitude of the alternating current is preferably about 1 to 100 [mV] in terms of the terminal voltage of the limiting current type oxygen sensor.

尚、本実施例では交流定電流印加部22として
交流の定電流印加部を用いる場合を示したが、交
流圧の定電圧印加部としてもよい。その場合には
ハイパスフイルタ25の入力を電流電圧変換回路
23の出力からとると共に整流した出力の逆数を
とると内部抵抗に比例する。
In this embodiment, an AC constant current applying section is used as the AC constant current applying section 22, but an AC constant voltage applying section may be used. In that case, when the input of the high-pass filter 25 is taken from the output of the current-voltage conversion circuit 23 and the reciprocal of the rectified output is taken, it is proportional to the internal resistance.

温度補正係数演算部は(13)式を演算するよう
構成されている。即ち、電圧源28、抵抗29お
よび30の3つの素子により(13)式のR+R0
を近似的に演算している。電圧源31、抵抗32
および33の3つの素子により(13)式のR−
R0を近似的に演算している。商演算部34によ
つて(13)式のR−R0/R+R0を演算している。電圧源 28、抵抗35,36、およびポテンシヨトータ
37等の4つの素子により(13)式の1+2m
KT0/E R−R0/R+R0を近似的に演算している。
The temperature correction coefficient calculating section is configured to calculate equation (13). That is, R+R 0 of equation (13) is obtained by the three elements of voltage source 28 and resistors 29 and 30.
is calculated approximately. Voltage source 31, resistor 32
and R- of formula (13) by the three elements of 33
R 0 is calculated approximately. The quotient calculation unit 34 calculates R−R 0 /R+R 0 in equation (13). By using four elements such as voltage source 28, resistors 35 and 36, and potentiometer 37, 1+2m of equation (13)
KT 0 /E R−R 0 /R+R 0 is approximately calculated.

尚、抵抗回路網を用いるかわりに加算器を用い
て構成することもでき、一層精密な演算を行なう
ことができる。
Incidentally, instead of using a resistor network, an adder can be used to perform more precise calculations.

(13)式の演算によつて得られた温度補正係数
を積演算部26に導き、測定された限界電流との
積演算を行なうことにより温度補償された出力を
得ることができる。温度係数の異なるセンサに対
してはポテンシヨメータ37の調節により容易に
対応できる。
A temperature-compensated output can be obtained by introducing the temperature correction coefficient obtained by the calculation of equation (13) to the product calculation section 26 and performing the product calculation with the measured limit current. Sensors with different temperature coefficients can be easily accommodated by adjusting the potentiometer 37.

第12図は他の実施例を示すものである。第1
1図の実施例の構成と異なる点は温度補正係数演
算部を(19)式を用いるよう構成した点である。
即ち、(19)式の温度補正項を定電圧印加部38
と抵抗39、抵抗40およびポテンシヨメータ4
1によつて演算し、温度補正係数演算部の構成を
簡略化している。温度係数の異なるセンサに対し
ては定電圧印加部38又はポテンシヨメータ41
の調節により簡単に対応できる。
FIG. 12 shows another embodiment. 1st
The difference from the configuration of the embodiment shown in FIG. 1 is that the temperature correction coefficient calculating section is configured to use equation (19).
That is, the temperature correction term in equation (19) is
and resistor 39, resistor 40 and potentiometer 4
1 to simplify the configuration of the temperature correction coefficient calculation section. For sensors with different temperature coefficients, a constant voltage applying section 38 or a potentiometer 41 is used.
This can be easily adjusted by adjusting the

第13図は限界電流式酸素センサ1Aに以下の
如きものを用いる場合の実施例を示す。すなわ
ち、前述第1図aに示した限界電流の検出を行な
うための酸素イオン伝導体の一面に陰極層42a
をこれと対向する他の面に陽極層を設けた構成、
又は陰極へのガスの拡散を制限するための部材で
陰極層を被覆した構成の部分(限界電流検出を行
なうための部分という)の基本構成に加えて、以
下の部分、すなわち、内部抵抗の検出を行なうた
めの酸素イオン伝導体の一面に電極42bを、こ
れと対向する他の面に電極を有する部分(内部抵
抗検出を行なうための部分という)を設け、限界
電流検出を行なうための部分には過電圧支配領域
の電圧を印加して限界電流を測定する限界電流測
定部43,44,45と、内部抵抗検出を行なう
ための部分には抵抗支配領域の電流又は電圧を印
加して内部抵抗を測定する内部抵抗測定部46,
47を備えているので、印加電圧、電流の切換え
や重畳、分離が不要となる。
FIG. 13 shows an embodiment in which the following is used as the limiting current type oxygen sensor 1A. That is, a cathode layer 42a is provided on one surface of the oxygen ion conductor for detecting the limiting current shown in FIG.
A configuration in which an anode layer is provided on the other side facing this,
Or, in addition to the basic configuration of the part in which the cathode layer is covered with a member for restricting gas diffusion to the cathode (referred to as the part for detecting the limiting current), the following parts, i.e., internal resistance detection. An electrode 42b is provided on one surface of the oxygen ion conductor for performing this, and a portion having an electrode (referred to as a portion for detecting internal resistance) is provided on the other surface facing the electrode 42b, and a portion for detecting a limiting current is provided with an electrode 42b. limit current measuring sections 43, 44, and 45 that apply a voltage in the overvoltage control region to measure the limit current; and a section for detecting internal resistance that applies a current or voltage in the resistance control region to measure the internal resistance. internal resistance measuring section 46 to measure;
47, there is no need to switch, superimpose, or separate the applied voltage or current.

第14図には本発明によつて得られた結果の一
例も示すものである。図より明らかなように従来
技術によつて温度の変化する領域で使用した場合
には大きな温度依存性を有し、精度を損う原因に
なると共に使用温度範囲を制約する要因になつて
いた。それに対し、本発明の装置によるときには
温度依存分を補償しているので、高精度化される
と共に、使用温度領域も広くとることができる。
FIG. 14 also shows an example of the results obtained by the present invention. As is clear from the figure, when the conventional technology is used in a region where the temperature changes, it has a large temperature dependence, which causes loss of accuracy and is a factor that restricts the operating temperature range. On the other hand, when using the device of the present invention, the temperature dependence is compensated for, so the accuracy can be improved and the usable temperature range can be widened.

(19)式を用いた簡易な構成の温度補償の場合
でも、精密な温度補償のための構成の場合と比較
して、何等遜色のない効果が得られている。第7
図に示した如く、本来の対数演算(14)式に対し
て、(16)の近似式は0.6>R/R0、およびR/R0>1.4 の両領域では不充分な近似である。それにもかか
わらず、(14)式を用いた第8図の実施例および
(15)式を用いた第9図の実施例と比べて優ると
も劣らない好結果になる理由は第4図の温度特性
が破線の如き理想特性でなく、実線のように低温
側で急低下する特性になつており、(16)式の勾
配を調節して高温側では対数関数に近くなるよう
にし、低温側では対数よりも補正量を大きくなる
ように設定して補正したためである。尚、第9図
の実施例および第10図の実施例の積演算部21
aを用いるかわりにFET等のゲート入力電圧に
よつて、内部抵抗が変調される素子を用いて代用
することもできる。
Even in the case of temperature compensation with a simple configuration using equation (19), an effect comparable to that of a configuration for precise temperature compensation is obtained. 7th
As shown in the figure, the approximation equation (16) is an insufficient approximation to the original logarithmic operation equation (14) in both the regions of 0.6>R/R 0 and R/R 0 >1.4. Nevertheless, the reason why the result is as good as the example shown in FIG. 8 using equation (14) and the example shown in FIG. 9 using equation (15) is that the temperature shown in FIG. The characteristics are not ideal characteristics as shown by the broken line, but are characteristics that rapidly decrease on the low temperature side as shown in the solid line.The slope of equation (16) is adjusted so that it becomes close to a logarithmic function on the high temperature side, and on the low temperature side This is because the correction was made by setting the correction amount to be larger than the logarithm. Note that the product calculation unit 21 in the embodiment shown in FIG. 9 and the embodiment shown in FIG.
Instead of using a, it is also possible to use an element such as a FET whose internal resistance is modulated by the gate input voltage.

以上要するに限界電流式酸素センサの二つの領
域を利用し、過電圧支配領域から限界電流を検出
すると共に、抵抗支配領域から内部抵抗を測定
し、内部抵抗から温度を求め、限界電流の温度依
存性を補正して、限界電流すなわち酸素濃度を正
しく検出することにより、測定精度が向上すると
共に使用温度範囲を拡大することができる。本発
明はこのような産業上すこぶる有用かつ利用価値
の高い技術を提供することができる。
In summary, by using the two regions of the limiting current type oxygen sensor, the limiting current is detected from the overvoltage dominant region, the internal resistance is measured from the resistance dominant region, the temperature is determined from the internal resistance, and the temperature dependence of the limiting current is detected. By correcting and correctly detecting the limiting current, that is, the oxygen concentration, the measurement accuracy can be improved and the operating temperature range can be expanded. The present invention can provide such an industrially extremely useful and highly useful technology.

【図面の簡単な説明】[Brief explanation of drawings]

第1図aは限界電流式酸素センサの断面構造の
一例、第1図bは限界電流式酸素センサの典型的
な電圧対電流特性の一例、第2図は限界電流式酸
素センサの従来技術による測定回路の一例、第3
図は2つの温度における限界電流式酸素センサの
酸素濃度と限界電流の関係、第4図は一定の酸素
濃度における温度と限界電流の関係、第5図は本
発明の基本的な構成、第6図aおよびbは内部抵
抗の温度依存性、第7図は簡易な関数近似法の精
度と適用可能範囲、をそれぞれ示すものである。
第8図は限界電流式酸素センサに過電圧支配領域
に対する電圧(電流)を印加している状態での微
小な交流入力電圧の周波数に対するインピーダン
スの軌跡を示す図、第9図は同上の状態における
電気的等価回路を示すものである。第10図ない
し第13図は本発明の実施例、第14図は本発明
による限界電流の補償特性の例をそれぞれ示すも
のである。第10図ないし第13図は本発明の実
施例、第14図は本発明による限界電流の補償特
性の例をそれぞれ示すものである。 1…限界電流式酸素センサ(断面を示す)、4
…限界電流測定部、5…温度(内部抵抗)測定
部、6…温度補正係数演算部、7…補正部、12
…交流直流重畳電圧印加部、13…電流検出部、
14…交流直流分離部、15…内部抵抗演算部、
16…温度補正係数演算部、17…補正部、18
…交流発振器、19…直流電圧印加部、20…温
度依存性補償部、21…直流定電圧印加部、22
…交流定電流印加部、23…電流電圧変換回路、
24…ローパスフイルタ、25…ハイパスフイル
タ、26…積演算部、27…整流部、28,31
…定電圧印加部、29,30,32,33,3
5,36,39,40,44…抵抗、34…商演
算部、37,41…ポテンシヨメータ、1A…限
界電流検出用電極42aと内部抵抗検出用電極4
2bとを有する限界電流式酸素センサ(断面を示
す)、43…限界電流検出用電圧印加部、45…
電位差検出部。
Figure 1a is an example of the cross-sectional structure of a limiting current type oxygen sensor, Figure 1b is an example of a typical voltage vs. current characteristic of a limiting current type oxygen sensor, and Figure 2 is a conventional limiting current type oxygen sensor. Example of measurement circuit, 3rd
The figure shows the relationship between oxygen concentration and limiting current of a limiting current type oxygen sensor at two temperatures, Figure 4 shows the relationship between temperature and limiting current at a constant oxygen concentration, Figure 5 shows the basic configuration of the present invention, and Figure 6 shows the relationship between temperature and limiting current at a constant oxygen concentration. Figures a and b show the temperature dependence of internal resistance, and Figure 7 shows the accuracy and applicable range of the simple function approximation method.
Figure 8 is a diagram showing the locus of impedance with respect to the frequency of a minute AC input voltage when a voltage (current) in the overvoltage control region is applied to the limiting current type oxygen sensor, and Figure 9 is a diagram showing the locus of impedance with respect to the frequency of the minute AC input voltage when a voltage (current) in the overvoltage control region is applied to the limiting current type oxygen sensor. This shows the equivalent circuit. FIGS. 10 to 13 show embodiments of the present invention, and FIG. 14 shows an example of limiting current compensation characteristics according to the present invention. FIGS. 10 to 13 show embodiments of the present invention, and FIG. 14 shows an example of limiting current compensation characteristics according to the present invention. 1...Limiting current type oxygen sensor (cross section shown), 4
...Limiting current measuring section, 5...Temperature (internal resistance) measuring section, 6...Temperature correction coefficient calculating section, 7...Correction section, 12
...AC/DC superimposed voltage application section, 13...current detection section,
14... AC/DC separation section, 15... Internal resistance calculation section,
16...Temperature correction coefficient calculation section, 17...Correction section, 18
...AC oscillator, 19...DC voltage application section, 20...temperature dependence compensation section, 21...DC constant voltage application section, 22
...AC constant current applying section, 23...current voltage conversion circuit,
24...Low pass filter, 25...High pass filter, 26...Product calculation section, 27... Rectification section, 28, 31
... Constant voltage application section, 29, 30, 32, 33, 3
5, 36, 39, 40, 44...resistance, 34...quotient calculation section, 37, 41...potentiometer, 1A...limiting current detection electrode 42a and internal resistance detection electrode 4
2b, a limiting current type oxygen sensor (cross section shown), 43...voltage application section for limiting current detection, 45...
Potential difference detection section.

Claims (1)

【特許請求の範囲】 1 限界電流式酸素センサと、 限界電流式酸素センサに限界電流測定用の電圧
を印加して限界電流を測定する限界電流測定部
と、限界電流式酸素センサに内部抵抗測定用の電
圧または電流を印加して内部抵抗を測定する内部
抵抗測定部と、 内部抵抗測定部の出力から温度補正係数を求め
る温度補正係数演算部と、 限界電流測定部の測定出力を温度補正係数演算
部の出力によつて補正する補正部と、 を備えた限界電流式酸素濃度検出装置 において、 前記内部抵抗測定部は、直流と交流を重畳した
電圧又は電流を限界電流式酸素センサに印加する
手段と、限界電流式酸素センサに流れる直流と交
流の重畳した電流又は電圧から直流分と交流分を
分離する手段を用い、直流分から限界電流を求
め、交流分から内部抵抗を求めることを特徴とす
る限界電流式酸素濃度検出装置。 2 前記温度補正係数演算部が、内部抵抗に比例
した交流を求めるフイルタ部と、その交流を整流
して内部抵抗に比例した直流を求める整流部と、
整流出力にそれと同極性の電圧又は電流を加算す
る第1加算部と、整流出力にそれと逆極性の電圧
又は電流を加算する第2加算部と、第1加算部の
出力と第2加算部の出力の比を求める演算部と、
その演算部の出力に一定の値を加算する第3加算
部と、から成ることを特徴とする特許請求の範囲
第1項に記載の限界電流式酸素濃度検出装置。 3 前記温度補正係数演算部が、内部抵抗に比例
した交流を求めるフイルタ部と、その交流を整流
して内部抵抗に比例した直流電圧又は電流を出力
する整流部と、整流部の出力と一定電圧又は電流
を加算する加算部と、から成ることを特徴とする
特許請求の範囲第1項に記載の限界電流式酸素濃
度検出装置。 4 前記各加算部が抵抗により構成されることを
特徴とする特許請求の範囲第2項又は第3項のい
ずれかに記載の限界電流式酸素濃度検出装置。 5 限界電流式酸素センサと、 限界電流式酸素センサに限界電流測定用の電圧
を印加して限界電流を測定する限界電流測定部
と、限界電流式酸素センサに内部抵抗測定用の電
圧または電流を印加して内部抵抗を測定する内部
抵抗測定部と、 内部抵抗測定部の出力から温度補正係数を求め
る温度補正係数演算部と、 限界電流測定部の測定出力を温度補正係数演算
部の出力によつて補正する補正部と、 を備えた限界電流式酸素濃度検出装置 において、 前記限界電流式酸素センサは、酸素イオン伝導
体から成る板あるいは円筒の一面に陰極層を、こ
れと対向する他の面に陽極層を設けて構成した限
界電流検出を行なうための部分および、前記酸素
イオン伝導体の一部にさらに追加の電極層を設け
て構成した内部抵抗検出を行なう部分を備え、前
記限界電流検出を行なうための部分は過電圧支配
領域の電圧を印加して限界電流を測定し、前記内
部抵抗検出を行なうための部分は抵抗支配領域の
電圧又は電流を印加して内部抵抗を測定すること
を特徴とする限界電流式酸素濃度検出装置。 6 前記温度補正係数演算部が、内部抵抗に比例
した交流を求めるフイルタ部と、その交流を整流
して内部抵抗に比例した直流を求める整流部と、
整流出力にそれと同極性の電圧又は電流を加算す
る第1加算部と、整流出力にそれと逆極性の電圧
又は電流を加算する第2加算部と、第1加算部の
出力と第2加算部の出力の比を求める演算部と、
その演算部の出力に一定の値を加算する第3加算
部と、から成ることを特徴とする特許請求の範囲
第5項に記載の限界電流式酸素濃度検出装置。 7 前記温度補正係数演算部が、内部抵抗に比例
した交流を求めるフイルタ部と、その交流を整流
して内部抵抗に比例した直流電圧又は電流を出力
する整流部と、整流部の出力と一定電圧又は電流
を加算する加算部と、から成ることを特徴とする
特許請求の範囲第5項に記載の限界電流式酸素濃
度検出装置。 8 前記各加算部が抵抗により構成されることを
特徴とする特許請求の範囲第6項又は第7項に記
載の限界電流式酸素濃度検出装置。
[Scope of Claims] 1. A limiting current type oxygen sensor, a limiting current measuring section that measures a limiting current by applying a voltage for limiting current measurement to the limiting current type oxygen sensor, and a limiting current measuring unit that measures an internal resistance of the limiting current type oxygen sensor. an internal resistance measuring section that measures the internal resistance by applying a voltage or current for the purpose of measurement; a temperature correction coefficient calculation section that calculates a temperature correction coefficient from the output of the internal resistance measurement section; and a temperature correction coefficient calculation section that calculates the temperature correction coefficient from the output of the limit current measurement section. A limiting current type oxygen concentration detection device comprising: a correction unit that corrects based on the output of the calculation unit; and the internal resistance measuring unit applies a voltage or current that is a superimposition of direct current and alternating current to the limiting current type oxygen sensor. and a means for separating the DC and AC components from the superimposed DC and AC current or voltage flowing through the limiting current type oxygen sensor, the limiting current is determined from the DC component, and the internal resistance is determined from the AC component. Limiting current type oxygen concentration detection device. 2. A filter section in which the temperature correction coefficient calculation section obtains an alternating current proportional to the internal resistance; a rectifying section that rectifies the alternating current to obtain a direct current proportional to the internal resistance;
A first addition section that adds a voltage or current of the same polarity to the rectified output, a second addition section that adds a voltage or current of the opposite polarity to the rectification output, and an output of the first addition section and the second addition section. an arithmetic unit that calculates the ratio of outputs;
The limiting current oxygen concentration detection device according to claim 1, further comprising a third addition section that adds a fixed value to the output of the calculation section. 3. The temperature correction coefficient calculating section includes a filter section that calculates an alternating current proportional to the internal resistance, a rectifying section that rectifies the alternating current and outputs a direct current voltage or current proportional to the internal resistance, and a rectifying section that calculates an alternating current proportional to the internal resistance, and a rectifying section that calculates an alternating current that is proportional to the internal resistance. The limiting current type oxygen concentration detecting device according to claim 1, further comprising: or an adding section for adding current. 4. The limiting current type oxygen concentration detection device according to claim 2 or 3, wherein each of the adding sections is constituted by a resistor. 5 A limiting current type oxygen sensor, a limiting current measuring section that applies a voltage for limiting current measurement to the limiting current type oxygen sensor to measure the limiting current, and a limiting current measuring unit that applies a voltage or current for internal resistance measurement to the limiting current type oxygen sensor. an internal resistance measuring section that measures the internal resistance by applying voltage, a temperature correction coefficient calculating section that calculates a temperature correction coefficient from the output of the internal resistance measuring section, and a temperature correction coefficient calculating section that calculates the temperature correction coefficient from the output of the limiting current measuring section. In the limiting current type oxygen concentration detection device, the limiting current type oxygen sensor has a cathode layer on one side of a plate or cylinder made of an oxygen ion conductor, and the other side facing the cathode layer. a part for detecting a limiting current, which is configured by providing an anode layer on a part of the oxygen ion conductor, and a part for detecting internal resistance, which is configured by further providing an additional electrode layer on a part of the oxygen ion conductor; The part for detecting the internal resistance measures the limiting current by applying the voltage in the overvoltage dominated region, and the part for detecting the internal resistance measures the internal resistance by applying the voltage or current in the resistance dominated region. A limiting current type oxygen concentration detection device. 6. A filter section in which the temperature correction coefficient calculation section obtains an alternating current proportional to the internal resistance; a rectifying section that rectifies the alternating current to obtain a direct current proportional to the internal resistance;
A first addition section that adds a voltage or current of the same polarity to the rectified output, a second addition section that adds a voltage or current of the opposite polarity to the rectification output, and an output of the first addition section and the second addition section. an arithmetic unit that calculates the ratio of outputs;
6. The limiting current type oxygen concentration detection device according to claim 5, further comprising a third addition section that adds a constant value to the output of the calculation section. 7. The temperature correction coefficient calculating section includes a filter section that calculates an alternating current proportional to the internal resistance, a rectifying section that rectifies the alternating current and outputs a direct current voltage or current proportional to the internal resistance, and a rectifying section that calculates an alternating current proportional to the internal resistance. The limiting current type oxygen concentration detecting device according to claim 5, further comprising: or an adding section for adding current. 8. The limiting current type oxygen concentration detection device according to claim 6 or 7, wherein each of the adding sections is constituted by a resistor.
JP56078030A 1981-05-01 1981-05-25 Limiting current type oxygen concentration detector compensated for temperature of measured output Granted JPS57192851A (en)

Priority Applications (2)

Application Number Priority Date Filing Date Title
JP56078030A JPS57192851A (en) 1981-05-25 1981-05-25 Limiting current type oxygen concentration detector compensated for temperature of measured output
US06/373,257 US4626338A (en) 1981-05-01 1982-04-29 Equipment for detecting oxygen concentration

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP56078030A JPS57192851A (en) 1981-05-25 1981-05-25 Limiting current type oxygen concentration detector compensated for temperature of measured output

Publications (2)

Publication Number Publication Date
JPS57192851A JPS57192851A (en) 1982-11-27
JPH0125418B2 true JPH0125418B2 (en) 1989-05-17

Family

ID=13650406

Family Applications (1)

Application Number Title Priority Date Filing Date
JP56078030A Granted JPS57192851A (en) 1981-05-01 1981-05-25 Limiting current type oxygen concentration detector compensated for temperature of measured output

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JP4577160B2 (en) * 2005-09-01 2010-11-10 トヨタ自動車株式会社 Exhaust gas sensor failure detection device
DE102005056152A1 (en) * 2005-11-23 2007-05-24 Robert Bosch Gmbh Method for calibrating the signal provided by a broadband lambda sensor and apparatus for carrying out the method
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JP5007662B2 (en) * 2007-11-30 2012-08-22 富士電機株式会社 Oxygen sensor electrode activation processing method and electrode activation processing apparatus
US9581564B2 (en) * 2013-10-16 2017-02-28 Emisense Technologies, Llc Electrochemical sensing using voltage-current time differential
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