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| United States Patent | 4776943 |
| Link to this page | http://www.wikipatents.com/4776943.html |
| Inventor(s) | Kitahara; Tsuyoshi (Ina, JP) |
| Abstract | A device detects an air-fuel ratio of a fuel mixture by causing an electric
current to flow through an oxygen ion-conductive solid electrolyte to
cause migration of oxygen ions between an atmospheric air and a gas
receiving portion into which the exhaust gases resulting from combustion
of the fuel mixture are diffused via gas diffusion restricting means. The
device includes means for detecting the electric current. |
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Title Information  |
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Drawing from US Patent 4776943 |
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Device for detecting air-fuel ratio of mixture over wide range from
below to above stoichiometric ratio |
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| Publication Date |
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October 11, 1988 |
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| Filing Date |
February 24, 1987 |
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| Parent Case |
This application is a continuation of application Ser. No. 702,538, filed
Feb. 19, 1985, now abandoned. |
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| Priority Data |
Feb 20, 1984[JP]59-28752 |
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Title Information  |
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References  |
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| *references marked with an asterisk below are user-added references |
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U.S. References |
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| | Reference | Relevancy | Comments | Reference | Relevancy | Comments | 4580539 Kitahara 123/686 Apr,1986 |      Your vote accepted [0 after 0 votes] | | 4578172 Yamada 204/412 Mar,1986 |      Your vote accepted [0 after 0 votes] | | 4505807 Yamada 204/425 Mar,1985 |      Your vote accepted [0 after 0 votes] | | 4384935 De Jong 204/406 May,1983 |      Your vote accepted [0 after 0 votes] | | 4366039 Uchida 204/406 Dec,1982 |      Your vote accepted [0 after 0 votes] | | 4334510 Croset 123/691 Jun,1982 |      Your vote accepted [0 after 0 votes] | | 4334974 Muller 204/425 Jun,1982 |      Your vote accepted [0 after 0 votes] | | 4306957 Ishitani 204/412 Dec,1981 |      Your vote accepted [0 after 0 votes] | | 4300990 Maurer 204/412 Nov,1981 |      Your vote accepted [0 after 0 votes] | | 4298573 Fujishiro 422/94 Nov,1981 |      Your vote accepted [0 after 0 votes] | | 4294679 Maurer 204/426 Oct,1981 |      Your vote accepted [0 after 0 votes] | | 4292158 Muller 204/429 Sep,1981 |      Your vote accepted [0 after 0 votes] | | 4282080 Muller 204/412 Aug,1981 |      Your vote accepted [0 after 0 votes] | | 4272329 Hetrick 205/785 Jun,1981 |      Your vote accepted [0 after 0 votes] | | 4272331 Hetrick 205/785 Jun,1981 |      Your vote accepted [0 after 0 votes] | | 4264425 Kimura 204/412 Apr,1981 |      Your vote accepted [0 after 0 votes] | | 4224113 Kimura 205/784.5 Sep,1980 |      Your vote accepted [0 after 0 votes] | | 4207159 Kimura 204/425 Jun,1980 |      Your vote accepted [0 after 0 votes] | | 4158166 Isenberg 324/439 Jun,1979 |      Your vote accepted [0 after 0 votes] | | 4101403 Kita 204/410 Jul,1978 |      Your vote accepted [0 after 0 votes] | | 4505802 Mase 204/425 Dec,1969 |      Your vote accepted [0 after 0 votes] | | 4505783 Mase 205/785 Dec,1969 |      Your vote accepted [0 after 0 votes] | | |
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| Market Size |
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| Reasonable Royalty |
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Public's "Guesstimation" of Royalty Value
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Market Review  |
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Technical Review  |
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Claims  |
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I claim:
1. A device for detecting an air-fuel ratio of a fuel mixture by probing
exhaust gases resulting from combustion of the fuel mixture, the exhaust
gases including at least oxygen and combustion by-products, comprising:
a partition having a first side and a second side opposite to said first
side, said partition defining on said first side an atmospheric air
receiving portion communicating with the ambient atmosphere and on said
second side a gas receiving portion communicating with the exhaust gases;
said partition having at least a portion formed of an oxygen ion-conductive
solid electrolyte;
first electrode means exposed to said atmospheric receiving portion;
second electrode means exposed to said gas receiving portion, said first
and second electrode means interposing therebetween said portion formed of
said oxygen ion-conductive solid electrolyte;
means for restricting gas diffusion of the exhaust gases to said gas
receiving portion;
means, including third electrode means disposed on said portion of said
partition and exposed to said gas receiving portion, for applying a
predetermined electric voltage across said portion, formed of said
ion-conductive solid electrolyte, causing DC electric current to flow
between said first and third electrode means through said portion formed
of said ion-conductive solid electrolyte;
means for comparing an actual voltage between said first electrode means
and said second electrode means with a target voltage to give a difference
therebetween and generating a difference indicative signal;
means responsive to said difference indicative signal for controlling the
polarity and intensity of said DC electric current in such a manner as to
decrease said difference indicative signal toward zero; and
means for measuring said DC electric current and generating an output
signal indicative of said DC electric current measured.
2. A device as claimed in claim 1, wherein said gas diffusion restricting
means includes:
a first plate lying on said second side of said partition, said first plate
being formed with an opening; and
a second plate lying on said first plate to close said opening, said
partition, said first plate and said second plate cooperating with each
other to define said gas receiving portion within said opening, said
second plate being formed with a gas flow restricting hole for providing
restricted flow communication between said gas receiving portion and the
source of the exhaust gases.
3. A device as claimed in claim 1, wherein said gas diffusion restricting
means includes:
a plate lying on said second side of said partition and having a portion
spaced distant from said second side of said partition to define a
clearance therebetween, said plate and said partition cooperating with
each other to define said gas receiving portion within said clearance.
4. A device as claimed in claim 1, wherein said gas diffusion restricting
means includes:
a porous sintered body on said second side of said partition to cooperate
with said partition to define said gas receiving portion.
5. A device as claimed in claim 1, wherein said gas diffusion restricting
means includes:
a porous sintered body on said second side of said partition and formed
with a recess, said porous sintered body and said partition cooperating
with each other to form said gas receiving portion within said recess.
6. A device as claimed in claim 1, wherein said first electrode means
includes an electrode layer printed on said electrolyte.
7. A device as claimed in claim 6, wherein said electrode layer of said
first electrode means is grounded.
8. A device as claimed in claim 1, wherein said second electrode means
includes a pump electrode layer printed on said electrolyte and a sensor
electrode layer printed on said electrolyte.
9. A device as claimed in claim 8, wherein said pump electrode layer and
said second electrode layer are arranged side by side.
10. A device as claimed in claim 8, wherein said pump electrode layer is
formed with an opening and said sensor electrode layer is arranged within
said opening.
11. A device as claimed in claim 1, further comprising a plate lying on
said first side of said partition and formed with a gutter closed at one
end, said plate cooperating with said first side of said partition to
define said atmospheric receiving portion within said gutter.
12. A device as claimed in claim 1, further comprising electrical heating
means for heating said electrolyte.
13. A sensing element for probing exhaust gases resulting from combustion
of a fuel mixture, comprising:
a partition having a first side and a second side opposite to said first
side, said partition being formed of an oxygen ion-conductive solid
electrolyte;
an atmospheric air receiving plate, formed of an insulator, lying on said
first side of said partition and formed with a longitudinal gutter closed
at one end which defines an atmospheric air receiving portion on said
first side of said partition, said longitudinal gutter being open at the
opposite end to allow communication with ambient atmosphere;
a base plate, formed on an insulator, lying on said ambient air receiving
plate;
a heater positioned between said atmospheric air receiving plate and said
base plate and in direct contact with said air receiving plate;
means cooperating with said partition for defining a gas receiving portion
on said second side of said partition and in communication with the
exhaust gases;
first electrode means disposed on said first side of said partition and
exposed to said atmospheric air receiving portion;
second electrode means, and third electrode means disposed on said second
side of said partition and exposed to said gas receiving portion; and
means for restricting gas diffusion of the exhaust gases to said gas
receiving portion.
14. A sensing element as claimed in claim 13, wherein said gas receiving
portion defining means includes:
a first plate, formed of an insulator, lying on said second side of said
partition, said first plate being formed with an opening surrounding said
second electrode means; and
said gas diffusion restricting means includes:
a second plate, formed of an insulator, lying on said first plate to close
said opening, said second plate being formed with a gas flow restricting
hole dimensioned to provide restricted flow communication.
15. A sensing element as claimed in claim 13, wherein said gas diffusion
restricting means includes:
a plate lying on said second side of said partition and having a portion
spaced distant from said second side of said partition to define a
clearance therebetween, said plate and said partition cooperating with
each other to define said gas receiving portion within said clearance.
16. A sensing element as claimed in claim 13, wherein said gas diffusion
restricting means includes:
a porous sintered body on said second side of said partition to cooperate
with said partition to define said gas receiving portion.
17. A sensing element as claimed in claim 13, wherein said gas diffusion
restricting means includes:
a porous sintered body on said second side of said partition and formed
with a recess, said porous sintered body and said partition cooperating
with each other to form said gas receiving portion within said recess.
18. A sensing element as claimed in claim 13, wherein said first electrode
means includes an electrode layer printed on said electrolyte.
19. A sensing element as claimed in claim 13, wherein said second electrode
means includes a pump electrode layer printed on said electrolyte and a
sensor electrode layer printed on said electrolyte.
20. A sensing element as claimed in claim 19, wherein said pump electrode
layer and said sensor electrode layer are arranged side by side.
21. A sensing element as claimed in claim 19, wherein said pump electrode
layer is formed with an opening and said sensor electrode layer is
arranged within said opening.
22. A sensing element as claimed in claim 13, further comprising a plate
lying on said first side of said partition and formed with a gutter closed
at one end, said plate cooperating with said first side of said partition
to define said atmospheric receiving portion with said gutter.
23. A sensing element as claimed in claim 13, further comprising electrical
heating means for heating said electrolyte. |
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Claims  |
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Description  |
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BACKGROUND OF THE INVENTION
The present invention relates to a device for detecting an air-fuel ratio
of an air-fuel mixture over a wide range from below the stoichiometric
ratio (rich) for the mixture to above the stoichiometric ratio (lean) for
the mixture by exposing a probe or a sensing element to exhaust gases
resulting from combustion of the mixture.
In automobiles, it is necessary to detect an air-fuel ratio of a mixture
supplied to an internal combustion engine for controlling the supply of
fuel to the engine so as to adjust the actual air-fuel ratio to a target
value. Common practice to detect the air-fuel ratio is to expose an oxygen
sensing element, viz., an oxygen sensor, to exhaust gases discharged by
the internal combustion engine and measure oxygen partial pressure in the
exhaust gases.
Japanese patent application primary publication No. 57-76450 discloses a
device for detecting an air-fuel ratio of an air-fuel mixture having an
air-fuel ratio above the stoichiometric ratio for the mixture by measuring
an oxygen partial pressure in exhaust gases resulting from the combustion
of the mixture by exposing an oxygen sensing element to the exhaust gases.
This known device is further described referring to FIG. 1. As illustrated
in FIG. 1, the oxygen sensing element comprises an oxygen ion-conductive
solid eletrolyte 1 having a measurement electrode layer 2 on one side
thereof and a reference electrode layer 3 on the other side thereof. A DC
voltage is applied between the electrode layers 2 and 3 to cause an
electric current I.sub.s to flow through the solid electrolyte 1 from the
electrode 3 to the electrode 2. For restricting inflow of oxygen to the
measurement electrode 2, a porous coating layer 4 covers the electrode 2.
Another coating layer 5 covers and protects the other electrode layer 3.
The inflow of the electric current I.sub.s causes oxygen ions O.sup.2- to
migrate from the electrode layer 2 to the electrode layer 3. As a result,
a reference oxygen partial pressure Pa develops at the reference electrode
layer 3 and an oxygen partial pressure Pb, viz., an oxygen partial
pressure in the exhaust gases, develops at the measurement electrode 2. An
electromotive force E produced by the sensing element may be expressed by
Nernst's equation as follows:
E=(RT/4F) ln(Pa/Pb) (1)
where: R is the gas constant, T the absolute temperature, and F the Faraday
constant.
This electromotive force E may be measured and taken out in terms of an
output Vs of the sensing element. The output Vs exibits different voltage
versus .lambda. characteristics for different magnitudes of the electric
current I.sub.s as shown in FIG. 2 where .lambda.=(actual air-fuel
ratio)/(the stoichiometric ratio). As will be readily understood from FIG.
2, since, if the electric current I.sub.s is kept constant, the output Vs
varies versus air-fuel ratio within a narrow range of .lambda., an actual
air-fuel ratio within the narrow range can be detected by the sensor
output Vs. This. however, is not practical for detection of air-fuel ratio
over a wide range. To overcome this problem, it is proposed to keep the
voltage Vs at a target value Va (see FIG. 2) and measure an electric
current I.sub.s which is variable in proportion to variation in .lambda.
over a wide range as shown by a fully drawn curve in FIG. 3 as long as the
air-fuel ratio is above the stoichiometric ratio (.lambda.>1).
This known device, however, is not suitable for detecting an air-fuel ratio
of a rich mixture (.lambda.<1) because, as will be understood from FIG. 3,
the current I.sub.s increases again as the mixture becomes rich as shown
by a broken line curve. This characteristic exibited by the current
I.sub.s when the air-fuel ratio is below the stoichiometric ratio is
derived from the fact that an equilibrium state with the exhaust gases
resulting from combustion of a rich air-fuel mixture is not accomplished
so that oxygen ions within the solid electrolyte are only diffused into
the ambient exhaust gas environment in the form of oxygen molecules
because the content of oxygen in the exhaust gases is almost zero. This
explains why the migration of oxygen ions increase and thus the electric
current I.sub.s increases as the air-fuel ratio shifts to the rich side
beyond the stoichiometric ratio.
As a result, with the same measured magnitude in the electric current
I.sub.s, a single air-fuel ratio cannot be identified because two air-fuel
ratio values are present within a range near the stoichiometric ratio.
Thus, it is impossible to identify the actual air-fuel ratio by relying on
the measurement result of the electric current I.sub.s only. In other
words, the use of this known device is confined to detecting an air-fuel
ratio above the stoichiometric ratio. Besides, since both of the electrode
layers 2 and 3 are exposed to the exhaust gases, the electrodes 2 and 3
are deteriorated at a fast rate. The solid electrolyte is deteriorated,
too, when the sensing element is used for a long time to detect a rich
air-fuel ratio because a material ZrO.sub.2 which constitutes the solid
electrolyte 1 is decomposed into ions, oxygen ions of which are diffused
into the exhaust gases. Thus, the output characteristic of the sensing
element (I.sub.s versus A/F characteristic) varies for a time (age) and
the endurability is not satisfactory.
SUMMARY OF THE INVENTION
An object of the present invention is to provide a device, free from the
above problems, for detecting an air-fuel ratio of a fuel mixture over a
wide range from below the stoichiometric ratio (rich) to above the
stoichiometric ratio (lean).
Another object of the present invention is to provide a device for
detecting an air-fuel ratio which has a sufficiently long endurability
such that it can sustain stable output characteristic for a long time even
if it is used to probe exhaust gases resulting from combustion of a
fuel-rich mixture.
One aspect of the present invention is to provide a device for detecting an
air-fuel ratio of a fuel mixture by probing exhaust gases resulting from
combustion of the fuel mixture, the exhaust gases including at least
oxygen and combustion by-products, comprising:
a partition having a first side and a second side opposite to said first
side, said partition defining on said first side an atmospheric air
receiving portion communicating with the ambient atmosphere and on said
second side a gas receiving portion communicating with a source of the
exhaust gases;
said partition having at least a portion formed of an oxygen ion-conductive
solid eletrolyte;
first electrode means exposed to said atmospheric air receiving portion;
second electrode means exposed to said gas receiving portion, said first
and second electrode means interposing said electrolyte therebetween;
means for restricting gas diffusion of said exhaust gases to said gas
receiving portion;
current providing means for providing an electric current to flow between
said first and second electrode means through said electrolyte in such a
manner as to cause migration of oxygen ions through said electrolyte
between said atmospheric air receiving portion and said gas receiving
portion so as to keep an oxygen partial pressure ratio across said
electrolyte constant; and
means for detecting said electric current.
Another aspect of the present invention is to provide a sensing element for
probing exhaust gases resulting from combustion of a fuel mixture,
comprising:
a partition having a first side and a second side opposite to said first
side, said partition defining on said first side an atmospheric air
receiving portion communicating with the ambient atmosphere and on said
second side a gas receiving portion communicating with a source of the
exhaust gases;
said partition having at least a portion formed of an oxygen ion-conductive
solid eletrolyte;
first electrode means exposed to said atmospheric air receiving portion;
second electrode means exposed to said gas receiving portion, said first
and second electrode means interposed said electrolyte therebetween; and
means for restricting gas diffusion of said exhaust gases to said gas
receiving portion.
Still another aspect of the present invention is to provide a method for
detecting an air-fuel ratio of a fuel-rich mixture which is below the
stoichiometric ratio for the mixture by probing exhaust gases resulting
from combustion of the fuel-rich mixture, the exhaust gases including
combustible by-products, said method comprising the steps of:
providing a sensing element comprising a partition having a first side and
a second side opposite to said first side, said partition defining on said
first side an atmospheric air receiving portion communicating with the
ambient atmosphere and on said second side a gas receiving portion
communicating with a source of the exhaust gases, said partition having at
least a portion formed of an oxygen ion-conductive solid eletrolyte, first
electrode means exposed to said atmospheric air receiving portion, second
electrode means exposed to said gas receiving portion, said first and
second electrode means interposing said electrolyte therebetween, and
means for restricting gas diffusion of said exhaust gases to said gas
receiving portion;
causing an electric current to flow between said first and second electrode
means through said electrolyte in such a manner as to cause migration of
oxygen ions through said electrolyte between said atmospheric air
receiving portion and said gas receiving portion so as to keep an oxygen
partial pressure ratio across said electrolyte constant; and
detecting said electric current.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a cross sectional diagram showing a known oxygen sensing element
discussed above;
FIG. 2 is a graph showing the relationship between the output voltage and
the air-fuel ratio;
FIG. 3 is a graph showing the relationship between the inflow current and
the airfuel ratio;
FIG. 4 is an exploded perspective view of a first embodiment of a sensing
element according to the present invention;
FIG. 5 is a cross sectional diagram of the sensing element;
FIG. 6 is a block diagram of a device, according to the present invention,
for detecting an air-fuel ratio using the sensing element shown in FIG. 4;
FIG. 7 is a graph showing the relationship between the pump current and the
oxgen partial pressure within the exhaust gases;
FIG. 8 is a graph showing the relationship between the measured voltage and
the air-fuel ratio;
FIG. 9 is the detailed circuit diagram of the device shown in FIG. 6;
FIG. 10 is an exploded perspective view of a second embodiment of a sensing
element according to the present invention;
FIG. 11 is a longitudinal cross sectional diagram of the sensing element
shown in FIG. 10; and
FIG. 12 is a similar cross sectional diagram to FIG. 5 showing a third
embodiment of a sensing element according to the present invention.
DETAILED DESCRIPTION OF THE INVENTION
Referring to FIGS. 4 to 12 of the accompanying drawings, the present
invention is further described.
Referring to FIGS. 4 and 5, a first embodiment of a sensing element (oxygen
sensor) of a device for detecting an air-fuel ratio of a fuel mixture is
illustrated. The sensing element comprises a partition 14 having a first
side 14a and a second side 14b. The partition 14 defines on the first side
14a an atmospheric air receiving portion 13 communicating with the ambient
atmosphere and on the second side 14b a gas receiving portion 19
communicating with a source of exhaust gases, such as an exhaust pipe of
an automotive internal combustion engine, as best seen in FIG. 5. In this
embodiment, the partition 14 is formed of an oxygen ion-conductive solid
electrolyte. If desired, the partition 14 may be partly formed of the
oxygen ion-conductive solid electrolyte such that that portion of the
partition which is interposed between first electrode means 15 and second
electrode means 16, 17 is formed of the oxygen ion-conductive solid
electrolyte and the balance portion formed of another heat resistive
material. The first electrode means includes a thin electrode layer 15
printed on the first side 14a of the partition 14 and exposed to the
atmospheric air receiving portion 13, while the second electrode means
includes a thin pump electrode layer 16 and a thin sensor electrode layer
17 which are arranged side by side.
Referring to FIG. 4, there is shown a base plate 10 with an electrical
heater 11 for heating the partition 14 of the oxygen ion-conductive solid
electrolyte. Lying on the base plate 10 is an atmospheric air receiving
plate 12 formed with a channel-like gutter 12a closed at one end. Lying on
the atmospheric air receiving plate 12 is the partition 14 having printed
on the first side thereof 14a the reference electrode layer 15 and on the
opposite second side thereof 14b the pump and sensor electrode layers 16
and 17. The heater 11 has leads 22 and 23, and the electrode layers 15, 16
and 17 has leads 24, 25 and 26 connected as shown in FIG. 6. For
restricting gas diffusion of the exhaust gases to the second electrode
means 16 and 17, a plate 18 is laid on the second side 14b of the
partition or solid electrolyte 14, which plate 18 is formed with a
window-like opening 18a defining the side boundary of the gas receiving
portion 19, and another plate 20 is laid on the plate 18, which plate 20
is formed with a small hole 21 for restricting gas flow communication
between the gas receiving portion 19 and the ambient exhaust gas
environment.
The base plate 10, atmospheric air receiving plate 12 and plates 18, 20 are
formed of a heat resistive insulator, such as alumina and mullite or a
heat resistive alloy. The solid electrolyte 14 is formed of a sintered
body obtained by solidifying at least one selected from C.sub.2 O, MgO,
Y.sub.2 O.sub.2, YB.sub.2 O.sub.3 into an oxide such as ZrO.sub.2,
HrO.sub.2, ThO.sub.2, Bi.sub.2 O.sub.3.
Each of the electrodes 15, 16 and 17 includes platinum or gold as a main
constituent thereof. The pump electrode 16 and the reference electrode 15
serve as electrodes which allows electric current to pass through the
solid electrolyte 14 to cause the migration of oxygen ion within the solid
electrolyte 14 so as to keep an oxygen partial pressure ratio, viz., a
ratio between oxygen partial pressure at one side of the solid electrolyte
and oxygen partial pressure at the other side thereof, constant. The
sensor electrode 17 and the reference electrode 15 serve as electrodes for
measuring an electric voltage developed across the solid electrolyte 14
due to the oxygen partial pressure ratio.
Referring to FIG. 6, the electrode layers 15, 16 and 17 are circuited with
a detecting circuit 30. The circuit 30 comprises a source of electric
voltage 31 which generates a target electric voltage-Va, a differential
amplifier 32, a pump electric current supply unit 33, a resistor 34 and a
pump electric current detecting unit 35 which detects the pump electric
current by measuring the electric voltage across the resistor 34.
The differential amplifier 32 functions to compare a potential Vs of the
reference electrode 15 of the sensing element relative to the sensor
electrode 17 with the target electric voltage-Va, and calculate the
difference therebetween .DELTA.V (.DELTA.V=Vs-(-Va)). The pump electric
voltage supply unit 33 regulates an outflow of the pump electric current
Ip from the pump electrode 16 of the sensing element (or an inflow
thereto) so as to reduce the output .DELTA.V of the differential amplifier
32 toward zero. That is, when the output .DELTA.V is positive, Ip is
increased, whereas when the output .DELTA.V is negative, Ip is decreased.
The pump electric current detecting unit 35 detects the pump electric
current Ip by measuring a difference in electric potential across the
resistor 34 in terms of the electric voltage Vi (Vi<Ip). The direction of
flow of the pump electric current Ip as indicated by the fully drawn arrow
in FIG. 6 is regarded as the positive direction and in this case the
electric voltage Vi detected becomes positive, whereas when the direction
of the pump electric current is negative as indicated by a broken arrow,
the electric voltage Vi becomes negative.
The operation of this embodiment is described.
Although any value is set as the target electric voltage -Va generated by
the source of electric voltage 31 as long as it corresponds to a value
which may be taken by the electric voltage Vs generated at the sensor
electrode 17, it is preferrable for the purpose of accurately converging
the electric voltage Vs to the target value that the target electric
voltage should take a value at which a tangent in variation in the
electric voltage Vs versus variation in oxygen concentration within the
gas receiving portion 19 is the largest, that is, a middle value between
the upper and lower limits between which the electric voltage rapidly
changes versus variation in the oxygen concentration.
If -500 mV is set as the target value -Va, the pump electric current supply
unit or circuit 33 controls the supply of the pump electric current Ip in
such a manner as to accomplish the relationship; Vs=-500 mV. Assuming that
the temperature T is 1000.degree. K., the oxygen partial pressures Pa and
Pg within the atmospheric air receiving portion 13 of the sensing element
and the gas receiving portion 19 thereof shall satisfy the following
relationship which has been obtained by using the Nernst's equation;
Pg/Pa.apprxeq.10.sup.-10.
Substituting Pa.apprxeq.0.206 atm, Pg.apprxeq.0.206.times.10.sup.-10 atm.
Assuming the oxygen partial pressure within the exhasut gases is Px, the
quantity Q of oxygen O.sub.2 entering the gas receiving portion 19 past
the small hole 21 can be expressed as Q=D (Px-Pg), where D is the
diffusion coefficient. Since Pg=0,
Q.apprxeq.D Px (1).
Since the quantity of oxygen ion O.sup.2- migrating within the solid
electrolyte 14 is as high as this quantity Q, the following relation
Ip.varies.Q holds. Thus,
Ip=K.sub.1 Px (2)
K.sub.1 : a constant.
The pump electric current Ip therefor varies in proportion to the oxygen
partial pressure (oxygen concentration) within the exhaust gases as shown
in FIG. 7.
Since the oxygen concentration is closely related to the air-fuel ratio
when the air-fuel ratio (A/F) of the mixture fed to the internal
combustion engine is on the lean side (.lambda.>1), it is apparent that | | |