Gas measuring device and gas measuring process for a target gas with improved compensation of an ambient condition
12584874 · 2026-03-24
Assignee
Inventors
Cpc classification
International classification
Abstract
A gas measuring device (100) and a gas measuring process measure a concentration of a target gas. A detector detection variable sensor (12.1) measures a detection variable (U10) of a detector, which detector detection variable correlates with the concentration of the target gas in a gas sample (Gp). A compensator detection variable sensor (12.2) measures a detection variable (U11) of a compensator, wherein this compensator detection variable correlates less with the target gas concentration. The gas measuring device can be operated in a pressure-compensating mode and/or in a humidity-compensating mode. In pressure-compensating mode, the influence of the ambient pressure on a measurement result is compensated as best as possible under the boundary condition that the influence of the ambient humidity remains sufficiently small. In humidity-compensating mode, the influence of the ambient humidity on a measurement result is compensated as best as possible under a corresponding boundary condition.
Claims
1. A gas measuring device, which is configured to measure a concentration of a combustible target gas in a spatial area, the gas measuring device comprising: a detector having a detector detection variable; a compensator having a compensator detection variable; a detector detection variable sensor configured to measure the detector detection variable; a compensator detection variable sensor configured to measure the compensator detection variable, wherein the gas measuring device is configured such that a gas sample from the spatial area at least temporarily reaches the detector and the compensator, wherein the measured detector detection variable is correlated with the concentration of the target gas in the gas sample, wherein the measured compensator detection variable is correlated with the concentration of the target gas in the gas sample less than the measured detector detection variable is or is not correlated with the target gas concentration, wherein the measured detector detection variable and the measured compensator detection variable are influenced or at least can be influenced by at least one ambient condition acting on the gas sample; and a signal-processing evaluation unit configured to determine the concentration of the target gas in the gas sample as a function of the measured detector detection variable and of the measured compensator detection variable, wherein the gas measuring device is configured to be operated during use in one of at least two different modes, wherein a first mode is a pressure compensating mode and a second mode is a humidity compensating mode, wherein in the pressure-compensating mode an influence of an ambient pressure on a determination result of the evaluation unit is compensated for such that a boundary condition is met that an influence of an ambient humidity on the determination result remains below a specified upper humidity influence threshold, and the influence of the ambient pressure on the determination result of the gas measuring device is compensated under this boundary condition, wherein in the humidity-compensating mode an influence of the ambient humidity on the determination result is compensated for such that a boundary condition is met that the influence of the ambient pressure on the determination result remains below a specified upper pressure influence threshold, and the influence of the ambient humidity on the determination result is compensated under this boundary condition, and wherein the evaluation unit is configured such that in the pressure-compensating mode the dependence of the determined target gas concentration on at least one of the detector detection variable and on the compensator detection variable is different from that in the humidity-compensating mode.
2. The gas measuring device according to claim 1, wherein the gas measuring device is configured to further be operated during use in at least one of a pressure-optimized mode and in a humidity-optimized mode, wherein in the pressure-optimized mode the influence of the ambient pressure on the determination result of the evaluation unit is compensated without adhering to a boundary condition, wherein in the humidity-optimized mode, the influence of the ambient humidity on the determination result is compensated without adhering to a boundary condition, and wherein the evaluation unit is configured such that in each mode the dependence of the determined target gas concentration on the detector detection variable and/or on the compensator detection variable is different than in any other mode.
3. The gas measuring device according to claim 1, wherein the gas measuring device is configured to be operated in each one of the pressure-compensating mode and the humidity-compensating mode.
4. The gas measuring device according to claim 2, wherein the gas measuring device is configured to be operated in each one of the pressure-compensating mode, humidity-compensating mode, pressure-optimized mode, and humidity-optimized mode.
5. The gas measuring device according to claim 3, further comprising a selection unit configured to capture a specification from a user or from a higher-level control system, wherein the captured specification specifies a mode in which the gas measuring device is to be operated, and wherein the gas measuring device is configured to be operated in the pressure-compensating mode or in the humidity-compensating mode depending on a captured specification.
6. The gas measuring device according to claim 4, further comprising a selection unit configured to capture a specification from a user or from a higher-level control system, wherein the captured specification specifies a mode in which the gas measuring device is to be operated, wherein the gas measuring device is configured to be operated in the pressure-compensating mode, in the humidity-compensating mode, in the pressure-optimized mode, or in the humidity-optimized mode depending on a captured specification.
7. The gas measuring device according to claim 3, wherein the gas measuring device is configured to determine an estimated value for the target gas concentration in the same gas sample in at least two different ones of the modes and to generate an alarm if at least one determined estimated value is outside a specified value range for the target gas concentration.
8. The gas measuring device according to claim 1, further comprising an ambient condition sensor configured to measure one of the ambient conditions acting on the gas sample, wherein the evaluation unit is configured to determine the concentration of the target gas in the gas sample additionally as a function of a signal of the sensor for the ambient condition.
9. The gas measuring device according to claim 8, wherein the ambient condition sensor is a temperature sensor configured to measure the ambient temperature.
10. The gas measuring device according to claim 8, wherein the ambient condition sensor is an ambient humidity sensor configured to indicate an ambient humidity or an ambient pressure sensor configured to indicate an ambient pressure, wherein the ambient condition sensor is either activated or deactivated, wherein the gas measuring device is configured such that with the ambient condition sensor being activated, the evaluation unit determines the concentration of the target gas in the gas sample additionally as a function of the signal from the activated ambient condition sensor, and wherein the gas measuring device is configured to be operated in at least one of the pressure-compensating mode and the humidity-compensating mode at least with the ambient condition sensor deactivated.
11. The gas measuring device according to claim 1, wherein the detector comprises a heatable detector, segment and the compensator comprises a heatable compensator segment, wherein the gas measuring device is configured to heat the detector segment such that the heated detector segment oxidizes combustible target gas in the gas sample and the oxidation further heats the detector segment, wherein the gas measuring device is configured to heat the compensator segment and the heated compensator segment is configured to oxidize less combustible target gas per time unit than the heated detector segment or the gas measuring device is configured to heat the compensator segment and is configured such that a smaller quantity per time unit of the gas sample reaches the compensator than the detector, wherein the detector detection variable sensor is configured to measure an indicator for a temperature of the detector segment as the detector detection variable, and wherein the compensator detection variable sensor is configured to measure an indicator for a temperature of the compensator segment as the compensator detection variable.
12. The gas measuring device according to claim 1, wherein the evaluation unit has at least temporary read access to a computer-evaluable model, wherein the model comprises a respective functional relationship for each mode in which the gas measuring device is configured to be operated, wherein the functional relationship for a mode is a relationship between the target gas concentration on the one hand and a respective signal of each detection variable sensor on the other hand, and wherein the evaluation unit is configured to determine the target gas concentration based on the functional relationship for the mode in which the gas measuring device is currently being operated in and based on a respective signal of each detection variable sensor.
13. The gas measuring device according to claim 8, wherein the evaluation unit has at least temporary read access to a computer-evaluable model, wherein the model comprises a respective functional relationship for each mode in which the gas measuring device is operable, wherein the functional relationship for a mode is a relationship between the target gas concentration, a respective signal of each detection variable sensor, and a signal from the ambient condition sensor, wherein the evaluation unit is configured to determine the target gas concentration based on the functional relationship for the mode in which the gas measuring device is currently being operated, on a respective signal of each detection variable sensor and the signal of the ambient condition sensor.
14. The gas measuring device according to claim 1 as the first gas measuring device in combination with a second gas measuring device having the features of the first gas measuring device, wherein the evaluation unit of the first gas measuring device has at least temporary read access to a first computer-evaluable model, which describes a first dependence of the target gas concentration at least on the detector detection variable and on the compensator detection variable for operation in the pressure-compensating mode, and wherein the evaluation unit of the second gas measuring device has at least temporary read access to a second computer-evaluable model, which describes a second dependence of the target gas concentration at least on the detector detection variable and on the compensator detection variable for operation in the humidity-compensating mode.
15. The gas measuring device according to claim 8, as the first gas measuring device, in combination with a second gas measuring device having the features of the first gas measuring device, wherein the evaluation unit of the first gas measuring device has at least temporary read access to a first computer-evaluable model, which describes, for operation in the pressure-compensating mode, the first dependence of the target gas concentration at least on the detector detection variable, on the compensator detection variable, and on at least one of the ambient conditions, and wherein the evaluation unit of the second gas measuring device has the at least temporary read access to a second computer-evaluable model, which describes, for operation in the humidity-compensating mode, the second dependence of the target gas concentration at least on the detector detection variable, on the compensator detection variable, and on the at least one of the ambient conditions.
16. A calibration device for calibrating the gas measuring device according to claim 12, wherein the calibration device is configured to capture a specification, wherein the captured specification specifies at least one mode in which the gas measuring device is to be operated, and wherein the calibration device is configured to generate a model that can be analyzed by a computer such that the generated model comprises a functional relationship for the selected mode, and the model is used by the evaluation unit of the gas measuring device, wherein the calibration device is configured to use a predetermined sample and a set of predetermined possible functional relationships to generate the model, wherein the sample comprises several sample elements, wherein each sample element of the sample comprises an identification of an ambient condition-target gas combination and a combination of signal values, wherein the identification identifies a combination of an ambient temperature, an ambient pressure, an ambient humidity, and an actual target gas concentration and wherein the combination of signal values has for the respective signal of each detection variable sensor a respective value measured at the ambient condition-target gas combination of the sample element, wherein for each mode, for each predetermined possible functional relationship, and for each sample element, the calibration device is configured to apply the functional relationship to the combination of signal values of the sample element and thereby calculate a value for the target gas concentration and to compare the calculated value for the target gas concentration with the actual value of the target gas combination in this sample element, and wherein the calibration device is configured to select for every mode a possible functional relationship using the comparison results and to cause the selected functional relationship to be used as the functional relationship to be applied in the mode by the evaluation unit.
17. A gas measuring process for measuring a concentration of a combustible target gas in a spatial area, the process is performed using a gas measuring device comprising a detector, a compensator, a detector detection variable sensor and a compensator detection variable sensor, wherein the detector has a detector detection variable, wherein the detector detection variable correlates with the concentration of the target gas in a gas sample, wherein the compensator has a compensator detection variable, wherein the compensator detection variable correlates less than the detector detection variable with the target gas concentration or is not correlated with the target gas concentration in the gas sample, wherein the detector detection variable and the compensator detection variable are influenced or at least can be influenced by at least one ambient condition acting on the gas sample, wherein the gas measurement process comprises the steps of: causing a gas sample from the area to reach the detector and the compensator; with the detector detection variable sensor, measuring the detector detection variable; with the compensator detection variable sensor, measuring the compensator detection variable; and determining the concentration of the target gas in the gas sample as a function of the measured detector detection variable and the measured compensator detection variable, wherein, when carrying out the gas measuring process, the gas measuring device is operated in at least one of a pressure-compensating mode and a humidity-compensating mode, wherein in the pressure-compensating mode the influence of an ambient pressure on a determination result is compensated for such that a boundary condition is met that the influence of an ambient humidity on the determination result remains below a specified upper humidity influence threshold, and the influence of the ambient pressure on the determination result of the gas measuring device is compensated under this boundary condition, and wherein in the humidity-compensating mode, the influence of the ambient humidity on the determination result is compensated for such that a boundary condition is met that the influence of the ambient pressure on the determination result remains below a specified upper pressure influence threshold, and the influence of the ambient humidity on the determination result is compensated under the boundary condition, and wherein in the pressure-compensating mode the dependence of the determined target gas concentration on at least one of the detector detection variable on and the compensator detection variable is different from that in the humidity-compensating mode.
18. A calibration process for calibrating a gas measuring device, the gas measuring device being configured to measure a concentration of a combustible target gas in a spatial area, the gas measuring device comprising: a detector having a detector detection variable; a compensator having a compensator detection variable; a detector detection variable sensor configured to measure the detector detection variable; a compensator detection variable sensor configured to measure the compensator detection variable, wherein the gas measuring device is configured such that a gas sample from the spatial area reaches the detector and the compensator, wherein the measured detector detection variable is correlated with the concentration of the target gas in the gas sample and the compensator detection variable is correlated with the concentration of the target gas in the gas sample less than the measured detector detection variable or is not correlated with the target gas concentration, wherein the measured detector detection variable and the measured compensator detection variable are influenced or at least can be influenced by at least one ambient condition acting on the gas sample; and a signal-processing evaluation unit configured to determine the concentration of the target gas in the gas sample as a function of the measured detector detection variable and of the measured compensator detection variable, wherein the gas measuring device is configured to be operated during use in one of at least two different modes, wherein a first mode is a pressure compensating mode and a second mode is a humidity compensating mode, and wherein the evaluation unit is configured to apply, for determining the concentration of the target gas, a respective functional relationship for the mode to the measured detector detection variable and to the measured compensator detection variable; wherein the calibration process comprises the steps of: providing a sample and a set of predefined possible functional relationships, wherein the sample comprises several sample elements, wherein each sample element of the sample includes an identification of an ambient condition-target gas combination, which comprises a combination of an ambient temperature, an ambient pressure, an ambient humidity, and an actual target gas concentration, and wherein the sample includes a combination of signal values, which comprises the respective signal value of each detection variable sensor measured at the ambient condition-target gas combination; specifying at least one mode in which the gas measuring device is to operate be operated, and applying each specified possible functional relationship to the signal value combination of the sample element for each mode and for each sample element, thereby calculating a value for the target gas concentration; comparing the calculated value for the target gas concentration with the actual value of the target gas combination in the sample element; using the comparison results, selecting a possible functional relationship for each mode; and causing the selected functional relationship to be used by the evaluation unit as the functional relationship to be applied in the respective mode, wherein the selection of the functional relationship is performed such that in the pressure-compensating mode an influence of the ambient pressure on a determination result of the evaluation unit is compensated such that a boundary condition is met that an influence of the ambient humidity on the determination result remains below a specified upper humidity influence threshold, and the influence of the ambient pressure on the determination result of the gas measuring device is compensated under this boundary condition and in the humidity-compensating mode, an influence of the ambient humidity on the determination result is compensated for such that a boundary condition is met that the influence of the ambient pressure on the determination result remains below a specified upper pressure influence threshold, and the influence of the ambient humidity on the determination result is compensated under this boundary condition, and in the pressure-compensating mode the dependence of the determined target gas concentration on the detector detection variable and/or on the compensator detection variable is different from that in humidity-compensating mode.
19. The calibration process according to claim 18, wherein the gas measuring device further comprises an ambient condition sensor configured to measure an ambient condition value at the ambient condition-target gas combination, wherein the combination of signal values further comprises at least one value of the ambient condition sensor measured at the ambient condition-target gas combination.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) In the drawings:
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DESCRIPTION OF PREFERRED EMBODIMENTS
(11) Referring to the drawings, in the embodiment examples, the gas measuring device according to the invention and the gas measuring process according to the invention are configured to monitor a spatial area for the presence of at least one combustible target gas and/or of at least approximately determining the concentration of a combustible target gas in this area. In one application, the gas measuring device is configured to measure a sum of the target gas concentrations in the presence of several combustible target gases. The gas measuring device uses a process known from the prior art to analyze a gas mixture in the spatial area.
(12) In the embodiment example, the gas measuring device is configured as a stationary device that is positioned at a specific location in the area to be monitored during use. It is possible that several stationary gas measuring devices are arranged in this area. The or each gas measuring device is at least temporarily in a data connection with a remote receiver and transmits at least one signal to this receiver. The transferred signal comprises information about the measured target gas concentration. Preferably, the data connection is a wireless data connection, i.e. is implemented with radio waves. A wired data connection is also possible.
(13) A detector is located inside a housing of the gas measuring device. Through an opening in the housing, a gas sample diffuses from the area to be monitored into the interior of the housing or is conveyed into the interior, e.g. sucked in by a pump or other fluid guidance unit.
(14) In the embodiment example, the gas measuring device is configured as a heat tone sensor. Its principle was described at the beginning. The invention can also be applied to a gas measuring device comprising an infrared-optical or photo-acoustic or electrochemical sensor.
(15) The detector of the heat tone sensor comprises an electrically conductive wire with a heating segment. The heating detector segment is, for example, a coil that forms a segment of the wire. The electrically conductive material is, for example, platinum or rhodium or tungsten or an alloy using at least one of these metals. An electrical voltage U is applied to this wire so that an electric current flows through the wire. The flowing current heats the heating detector segment, and the heated heating detector segment emits thermal energy. The heat energy emitted causes at least one combustible target gas to be oxidized inside the housingof course only if the spatial area and thus the gas sample inside contains a sufficient quantity of combustible target gas.
(16) In one application, methane (CH.sub.4) is a combustible target gas to be detected. When sufficient heat energy is added, methane reacts with oxygen to produce water and carbon dioxide. CH.sub.4 and 2 O.sub.2 thus become 2 H.sub.2O and CO.sub.2.
(17) During the oxidation of the target gas, thermal energy is released inside the housing. This thermal energy acts on the detector and increases the temperature of the heated wire through which the current flows. This temperature increase correlates with the released heat energy and thus with the concentration of the target gas inside the housing.
(18) The change in temperature changes a measurable property of the detector that correlates with the detector temperature, for example the electrical resistance R of the detector wire through which the current flows. For many electrically conductive materials, it is known that the higher the temperature of the conductive material is, the higher is the electrical resistance. The gas measuring device measures at least one measurable variable which is influenced by the property and thus by the detector temperature and which is referred to below as the detection variable. The detection variable is, for example, directly the temperature or a variable that correlates with the electrical resistance R of the wire, for example the electrical voltage U applied to the detector or the current I or the electrical power P absorbed by the detector wire. If a further measurable variable, which also depends on the electrical resistance R, is kept constant by a control system, the measured detection variable U or I or P correlates with the concentration of the target gas being sought. If, for example, the current I of the current flowing through the detector is kept constant, the electrical voltage U applied to the detector correlates with the electrical resistance R of the wire, the resistance R correlates with the temperature of the wire, the temperature of the wire correlates with the target gas concentration, and thus the measured electrical voltage U correlates with the target gas concentration soughtin the presence of several target gases with the combination (sum) of the target gas concentrations.
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(20) An optional flame guard 2, for example a metallic grid, in front of the openings 1, 2 reduces the risk of flames from a chamber 8, 5 spreading outwards. Optionally, a thermal barrier (not shown) inside the gas measuring device 100 thermally separates the detector 10 from the compensator 11.
(21) The electrical voltage U10 applied to the detector 10 causes an electrical current I to flow. The flowing current I heats the heating detector segment 20 to a working temperature, which is often between 400 C. and 500 C. However, this working temperature alone is usually not sufficient to oxidize a combustible target gas in the detector chamber 8. A higher working temperature is often undesirable because it could lead to uncontrolled burning or decomposition or even to an explosion of combustible target gas, which is often undesirable, and also consumes more electrical energy.
(22) In order to be able to oxidize a combustible target gas despite a working temperature below 500 C., the detector 10 comprises a catalytic material which oxidizes the target gas in conjunction with the heated detector segment 20. A gas measuring device with such a detector 10 is therefore also referred to as a catalytic sensor.
(23) In a frequently used implementation, the heating detector segment 20 is surrounded by electrical insulation, for example by a ceramic coating. This electrical insulation electrically insulates the heating detector segment 20 and, in particular, prevents an undesired short circuit. The electrical insulation is thermally conductive so that the heating detector segment 20 can release thermal energy into the environment of the detector 10 and, conversely, thermal energy inside the detector chamber 8 can further heat up the heating detector segment 20. A coating of a catalytic material is applied to this electrical insulation. Or a catalytic material is embedded in the electrical insulation. This catalytic coating comes into contact with the gas mixture in the detector chamber 8 and thus also with a combustible target gas. A detector 10 constructed in this way is often referred to as a pellistor.
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(25) For example, platinum or palladium or rhodium or an alloy with at least one of these materials is used as the catalytic material. Alternatively or in addition to the catalytic coating, catalytic material 26 can also be embedded in the ceramic coating 25.
(26) In a preferred embodiment, the full sphere of the detector 10 has a porous surface with a catalytic coating 26. In one embodiment, this porous surface is produced as follows: The detector 10 with the porous surface but without the catalytic coating is provided. The catalytic coating 26 is applied to the porous surface, and a portion of the catalytic material penetrates into the interior of the detector 10. Thanks to this porous surface, the detector 10 has a larger surface area compared to a smooth surface. Thanks to this larger surface area, the detector 10 is better able to oxidize combustible target gas, in particular because a larger amount of target gas comes into contact with the catalytic material. Thanks to the porous surface, a gas can reach deeper layers of the detector 10.
(27) In one embodiment, the compensator 11 is constructed in the same way as the detector 10 and also comprises a heating segment, which is designated by the reference symbol 38. However, in one implementation, a smaller quantity per unit of time of gas can reach the compensator 11 than the detector 10. In another embodiment, the compensator 11 comprises no catalytic coating 26 or a catalytic coating 26 that is configured to oxidize less target gas per unit of time than the detector 10.
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(29) The protective layer 35 covers at least the conductor track (trace) 30, preferably the entire carrier plate 31, and prevents the conductor track 30 from coming into direct contact with a gas mixture. In one embodiment, the protective layer 35 is made of silicon nitride. A catalytically active material is applied to the protective layer 35, at least in an area above the heating segment 32.
(30) The compensator 11 can again be constructed in the same way as the detector 10 of
(31) However, the temperature of the detector 10 and thus also the or each detection variable is not only influenced by the thermal energy released, but also by the ambient conditions in the area B to be monitored. The three main ambient conditions are the ambient temperature Temp, the ambient pressure P, and the ambient humidity Hum. In particular, both the zero point of the detector 10 and the increase in the detector temperature depend not only on the target gas concentration, but also on the ambient temperature Temp. The zero point is the value that the detector detection variable assumes when no target gas is present. These three ambient conditions Temp, P, Hum can also change the conditions inside the housing 4 and thus also in the detector chamber 8. These ambient conditions can also influence the detector temperature and thus a detection variable U10, for example because the thermal conductivity in the environment of the detector 10 is changed.
(32) It is desirable that the gas measuring device 100 is able to reliably detect a combustible target gas despite of varying ambient conditions on the one hand and on the other hand generates only a few false alarms, i.e. only rarely determines that a target gas is present, although in reality no target gas has occurred above a detection threshold, which is an erroneous result.
(33) Note: The three ambient conditions temperature, pressure, and humidity are designated as Temp, P, Hum. Values of these three ambient conditions are designated as temp, p, hum.
(34) The gas measuring device 100 according to the invention is configured to compensate to a certain extent for the influence of the three ambient conditions Temp, P, Hum on the detection variable. In the following description, the current strength I.1 is kept constant by closed-loop control, and the electrical voltage U10 applied to the detector 10 serves as the detection variable. As already mentioned, this detection variable U10 depends on the temperature of the heating detector segment 20. This temperature in turn depends on the one hand on the target gas concentration and on the other hand on the three ambient conditions just mentioned.
(35) In order to compensate for the influence of ambient conditions, the gas measuring device 100 comprises in addition to the detector 10 the aforementioned compensator 11 in the compensator chamber 5, see
(36) In one embodiment, the compensator 11 also comprises a spirally wound and electrically conductive wire, which acts as a heating compensator segment and is designated by the reference sign 38. The compensator 11 also comprises a ceramic sheath, a mounting plate, electrical connections, and mechanical brackets. In one embodiment, however, the ceramic coating of the compensator 11 is not provided with a catalytic coating, in contrast to the detector 10.
(37) In another implementation, the compensator 11 is constructed in the same way as the detector 10, i.e. it also comprises a ceramic coating. This ceramic coating is also catalytically active in the other implementation. However, the gas measuring device 100 is configured in such a way that in a unit of time less gas can pass from the area B to be monitored to the compensator 11 than to the detector 10.
(38) As an alternative, the heating segment 38 of the compensator 11 is heated to a lower temperature than the heating segment 20 of the detector 10.
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(40) In the implementation shown in
(41) A voltage sensor 12.1 measures the electrical voltage U10 applied to the detector 10. An amperage sensor 13.1 measures the intensity I.1 of the electric current flowing through the circuit 3.1 for the detector 10. A voltage sensor 12.2 measures the electrical voltage U11 applied to the compensator 11. An amperage sensor 13.2 measures the intensity I.2 of the electric current flowing through the circuit 3.2 for the compensator 11.
(42) Ideally, a combustible target gas acts only on the detector 10, while the ambient conditions act in the same way on the detector 10 and the compensator 11. If these ideal conditions are met, the difference between the detector detection variable U10 and the compensator detection variable U11optionally corrected by a respective zero valueis a reliable indicator of the desired concentration of the target gas, for every possible combination of ambient conditions.
(43) However, usually this ideal condition is not fulfilled in practice. One reason is that the detector 10 and the compensator 11 react differently to ambient conditions already due to design-related differences and/or unavoidable manufacturing tolerances. These differences are particularly relevant if the compensator 11 has less catalytically active material than the detector 10 or even no catalytically active material at all. Another reason is that the oxidation of target gases often leads more strongly to deposits on the surface of the detector 10 than on the surface of the compensator 11. In the following, an embodiment according to the invention is described as to how the gas measuring device 100 can reliably measure the target gas concentration in many cases despite these differently acting ambient conditions.
(44) According to a preferred embodiment, the gas measuring device 100 measures the ambient temperature, preferably at a measuring position on an outer surface of the gas measuring device 100. The invention can also be implemented without the gas measuring device 100 comprising a temperature sensor.
(45) In the embodiment example shown, a temperature sensor 14 of the gas measuring device 100 is configured to measure the ambient temperature Temp. In the embodiment example, the temperature sensor 14 provides the temperature difference Temp between the current ambient temperature and a specified reference ambient temperature of 20 C., for example. The temperature sensor 14 provides an analog or digital signal that includes information about the ambient temperature Tempin the embodiment example with the temperature difference Temp. The influence of the ambient temperature Temp on the detection variable is computationally compensated to a certain extent with the aid of a signal from the temperature sensor 14.
(46) In one embodiment, the gas measuring device 100 of
(47) How the influence of the ambient pressure P and the ambient humidity Hum can nevertheless be compensated for, at least to a certain extent, is described below.
(48) Preferably, the gas measuring device 100 comprises a reliable sensor 14 for the ambient temperature Temp, but only a relatively simple and/or deactivatable or no sensor 18 for the ambient pressure P and a relatively simple and/or deactivatable or no sensor 17 for the ambient humidity Hum. In particular this preferred embodiment has the advantage described below: A temperature sensor 14 can be chemically insulated from the environment by insulating material with good thermal conductivity. The temperature sensor 14 is configured to measure the ambient temperature Temp relatively reliably, but is not directly exposed to the other ambient conditions. Both a pressure sensor and a humidity sensor, on the other hand, generally have to be in a fluid connection with the environment, i.e. with the spatial area B to be monitored, and can therefore be exposed to combustible target gases and other potentially harmful substances over a very long period of time. A sensor that is in a fluid connection with the environment and yet is sufficiently robust and reliable is often relatively expensive and/or heavy and/or requires a relatively large amount of electrical energy. A temperature sensor does not have this disadvantage, or at least only to a lesser extent.
(49) A schematically shown signal-processing control unit 6 with an evaluation unit 9 receives signals from the sensors 12.1, 12.2, 13.1, 13.2, 14, 17, 18 and determines the current concentration of a combustible target gas in the monitored area B, i.e. derives an estimated value. This estimated value is usually variable over time. If several combustible target gases are present in the area B, in the embodiment example the estimated value describes the summed concentrations of these combustible target gases. The control unit 6 and thus the evaluation unit 9 have at least temporary read access to a data memory 7, in which an evaluation program and/or a computer-evaluable model Mod with several functional relationships are stored.
(50) It would be ideal if the gas measuring device 100 could fully compensate for the influence of all three ambient conditions, i.e. both the influence of the ambient temperature Temp and the influence of the ambient pressure P as well as the influence of the ambient humidity Hum, using only the compensator 11 and the temperature sensor 14, for each possible value of these three ambient conditions during an application. In practice, however, this is generally not possible, at least not if the ambient pressure P and/or the ambient humidity Hum can vary considerably during use and neither a pressure sensor nor a humidity sensor are present and activated. A key reason for this is that in many cases the compensator 11 and the detector 10 react differently to at least one ambient condition, in particular due to design or construction-related differences or unavoidable manufacturing tolerances.
(51) In the example embodiment, a value range is specified for each of the three ambient conditions temperature Temp, humidity Hum and pressure P. The value range for the temperature ranges from Temp.sub.min to Temp.sub.max, the value range for the humidity ranges from Hum.sub.min to Hum.sub.max and the value range for the pressure ranges from P.sub.min to P.sub.max. The gas measuring device 100 achieves the effect described below if each of these three ambient conditions lies within the specified value range.
(52) The gas measuring device 100 of the embodiment example can optionally be operated in one of four possible different modes. In one embodiment, one of these four modes is selected during the configuration of the gas measuring device 100 and is implemented using appropriate software. The model Mod in the data memory 7 is then valid for this selected mode. The gas measuring device 100 cannot necessarily be switched from one mode to another during operation.
(53) In another embodiment, however, the gas measuring device 100 comprises a switch 16, shown schematically, with which a user can select one of these four possible modes. The user operates the switch 16 to switch from one mode to another mode. This switch 16 can be implemented, for example, as a mechanical switch or with the aid of a touch-sensitive screen (touch screen) or with the aid of several buttons. For each mode a respective model is stored in the data memory 7.
(54) In a further embodiment, the gas measuring device 100 switches automatically from one mode to the other during operation, so that it is operated in each of the possible modes during use. In each mode, the gas measuring device 100 determines an estimated value for the target gas concentration. As a rule, the estimated values differ from mode to mode. A preferred embodiment for deriving an estimated value and preferably displaying it to a user is as follows: As long as an estimated value that is determined in a mode is within a predetermined target concentration range, this estimated value is output. Or no message is issued at all or the message that there is no impermissible target gas concentration. If, on the other hand, at least one estimated value is outside the specified target concentration range, the estimated value that is furthest away from the specified target concentration range is output, i.e. the largest estimated value of a dangerous target gas or the smallest estimated value of a vital target gas, e.g. oxygen. With this configuration, you are on the safe side.
(55) The following four modes are distinguished in the example: P The influence of the ambient pressure P is compensated for (pressure-optimized mode)the ambient pressure P is compensated with the provided configuration (i.e., the ambient pressure P is compensated). Hum The influence of the ambient humidity Hum is compensated for (humidity-optimized mode)the ambient humidity Hum is compensated with the provided configuration (i.e., the ambient humidity Hum is compensated). P_Hum The influence of the ambient pressure P is compensated for while maintaining a boundary condition relating to the ambient humidity Hum (pressure-compensating mode)the ambient pressure P is compensated with the provided configuration to not surpass the boundary condition relating to the ambient humidity Hum (i.e., the ambient pressure P is compensated under the boundary condition). Hum_P the influence of the ambient humidity is compensated for while maintaining a boundary condition relating to the ambient pressure P (humidity-compensating mode)the ambient humidity Hum is compensated with the provided configuration to not surpass the boundary condition relating to the ambient pressure P (i.e., the ambient humidity Hum is compensated under the boundary condition).
(56) The boundary condition relating to the ambient humidity Hum is predefined and specifies, for example, that the measured value con for the target gas concentration Con varies by a maximum of x % if the ambient humidity Hum remains within the predefined humidity range from Hum.sub.min to Hum.sub.max and if the actual target gas concentration remains constant. During use, the ambient humidity Hum is always within this humidity range. The corresponding effect applies to the boundary condition relating to the ambient pressure P, i.e. the ambient pressure is in the range from P.sub.min to P.sub.max.
(57) The gas measuring device 100 can therefore be operated in one of four possible modes. This allows the gas measuring device 100 to be adapted to different operating conditions.
(58) One possible operating condition is as follows: The target gas concentration in a pipe is to be measured, with a gas mixture flowing through this pipe. In this operating condition, the ambient pressure P can fluctuate greatly, which is why the P mode or the P_Hum mode are useful.
(59) Another possible operating condition is the following: The target gas concentration in an enclosed space is to be measured. This enclosed space is only in a fluid connection with the environment via a relatively small opening and is, for example, a container for fluids. Or the enclosed space is a test chamber or measuring chamber in which different ambient conditions and, in particular, different humidity levels are generated in order to test a component. In this other operating condition, the ambient humidity Hum can fluctuate greatly, which is why Hum mode or Hum_P mode are useful.
(60) The invention makes it possible to manufacture a quantity of identical gas measuring devices and to adapt each gas measuring device 100 of this quantity to the respective operating conditions by selecting one of the four possible modes. The selection is made in advance or during operation. Operation in a specific mode requires the implementation or selection of software, while the hardware remains unchanged. In many cases, this embodiment increases reliability and reduces design, construction and manufacturing costs compared to an embodiment in which at least two sets of different gas measuring devices are manufactured, one set for each operating condition.
(61) In the following illustration, the electrical detector voltage U10 applied to the detector 10 acts as the detection variable that correlates with the temperature of the heating segment 20 of the detector 10, see
(62) The three sensors 14, 17 and 18 also each provide an electrical signalof course only if they are actually present, intact and activated. This signal is referred to as U(Temp), U(Hum), and U(P). In the embodiment example, the assumption is used that the three ambient conditions ambient temperature Temp, ambient humidity Hum and ambient pressure P each have a linear effect on the detection variables. Therefore, for each of these three ambient conditions a proportionality factor is determined in advance, preferably empirically, and used in the application.
(63) Depending on the values for the five variables U10, U11, U(Temp), U(Hum), U(P), the evaluation unit 9 calculates a value for a total detection variable Det. In doing so, the evaluation unit 9 applies the calculation rule
(64)
In one embodiment, the function F depends on at least one respective parameter for U10 and U11, optionally on at least one further parameter. In a preferred implementation of this embodiment, the calculation rule (1) has the form
(65)
with a gain factor (amplification factor) for the compensator voltage U11, a gain factor for the signal U(Temp) of the temperature sensor 14, a gain factor for the signal U(Hum) of the humidity sensor 17, a gain factor for the signal U(P) of the pressure sensor 18 and a zero value x0. The gain factor compensates to a certain extent for design-related differences between the detector 10 and the compensator 11 and is preferably greater than 1.1. The gain factor compensates to a certain extent for the influence of the ambient temperature Temp on the total detection variable Det, which is assumed to be linear. Accordingly, the factors and compensate for the influence of the ambient humidity Hum and the ambient pressure P, resp., which influences are also assumed to be linear.
(66) If neither a humidity sensor 17 nor a pressure sensor 18 is present or both sensors 17, 18 are deactivated or defective, the following calculation rule is applied:
(67)
with a different factor x0 than in the calculation rule (2).
(68) The parameters of the function F in the calculation rules (1) to (3) are calculated empirically using a random sample. It is also possible that the function F has the form of a neural network or is generated by another machine learning process.
(69) The evaluation unit 9 calculates a value for the target gas concentration Con from the value for the total detection variable Det. For doing so, it applies the calculation rule
(70)
For example
(71)
with an empirically determined factor .sub.con. Note: Con is the actual target gas concentration, Con.sub.meas is the measured value. Ideally, Con.sub.meas=Con.
(72) Preferably, the calculation rule (4) or (5) is defined such that a value of zero for the total detection variable Det leads to a value of zero for the target gas concentration Con.
(73) Both the function F and the function F.sub.Con are stored in the data memory 7 in a suitable manner for computer evaluation and form part of the model Mod.
(74) Depending on the used mode, the evaluation unit 9 uses a function F.sub.P, F.sub.P_Hum, F.sub.Hum or F.sub.Hum_P as the function F in the calculation rule (1). If the calculation rule (2) or (3) is used, a gain factor .sub.P, .sub.P_Hum, .sub.Hum or .sub.Hum_P is used as the gain factor for the compensator voltage U11, depending on the mode. Accordingly, a gain factor .sub.P, .sub.P_Hum, .sub.Hum or .sub.Hum_P is used as the gain factor for the signal U(Temp) of the temperature sensor 14. In one embodiment, four different zero values are used accordingly; in another embodiment, the same zero value x0 is always used regardless of the mode.
(75)
(76) The following is an example of how the calculation rules mentioned above are determined empirically. At least one sample is generated. In order to generate the or a sample, the gas measuring device is successively exposed to different defined test environments. Each test environment has three values temp, hum, p for the three ambient conditions temperature, humidity, pressure and a value for the target gas concentration. Each generated sample element comprises a resulting signal value u(temp) of the temperature sensor 14, if the corresponding sensors are present, a resulting signal value u(hum), u(p) of the humidity sensor 17 and the pressure sensor 18, and a value con for the target gas concentration Con.
(77) Each definition of a calculation rule (1) to (5) leads to the following for each sample element a resulting signal value u10 of the detector detection variable U10 and u11 of the compensator detection variable U11 and a resulting signal value u(det) of the total detection variable Det.
(78) Various configurations described below reduce the effort required to determine the calculation rules used.
(79) Preferably, the same function F.sub.Con is determined for each mode in the calculation rule (4), for which the sample is used. Using the sample, the functions F.sub.P, F.sub.P_Hum, F.sub.Hum or F.sub.Hum_P are also determined in the calculation rule (1).
(80) Preferably, the values for the ambient temperature Temp in the sample cover the entire range of values from Temp.sub.min to Temp.sub.max. At least when the gas measuring device 100 is to be used in the pressure-compensating or the pressure-optimized mode, the values for the ambient pressure P in the sample cover the entire range of values from P.sub.min to P.sub.max. Accordingly, at least when the gas measuring device 100 is to be used in the humidity-compensating or the humidity-optimized mode, the values for the ambient humidity Hum in the sample cover the entire range of values from Hum.sub.min to Hum.sub.max. Preferably, the values for the actual target gas concentration in the sample cover the entire range of values at which the gas measuring device 100 can be used.
(81) In many cases, the functions F.sub.P, F.sub.P_Hum, F.sub.Hum or F.sub.Hum_P in the calculation rule (1) and the function F.sub.Con in the calculation rule (4) depend monotonically on the arguments. In particular this feature applies to the functions (2), (3) and (5), which each depend linearly on their arguments. Therefore, in many cases it is sufficient to use in the sample for each ambient condition Temp, Hum, P and for the target gas concentration Con the two extremal values and at least one, preferably at least three intermediate values. If, for example, one intermediate value is used, the sample has 3{circumflex over ()}4=81 sample elements.
(82) In one embodiment, a sub-sample with several sample elements is selected from the sample. This sub-sample comprises different values for the target gas concentration. The sub-sample is used to empirically determine the function in the calculation rule (4), for example the factor .sub.Con in the calculation rule (5). The remaining sample elements are used to determine the functions F.sub.P, F.sub.P_Hum, F.sub.Hum and/or F.sub.Hum_P. The calculation rule (4), which was determined using the partial sample, is retained. Each remaining sample element therefore provides a calculated value con.sub.meas for the target gas concentration Con.
(83) The following is an example of how values for the parameters of calculation rule (2) are derived. In this derivation, it is assumed that the three ambient conditions Temp, P, Hum and the actual target gas concentration Con act independently of each other on the total detection variable Det and thus on the measured target gas concentration Con.sub.meas. It is also assumed that the ambient temperature Temp has an approximately linear effect on the total detection variable Det and thus on the measured target gas concentration Con.sub.meas, so that the influence of the ambient temperature Temp can be compensated for sufficiently accurately with the factor 3. In many cases, these assumptions correspond sufficiently accurately to reality.
(84) First, a so-called zero point adjustment (calibration) is carried out. This zero-point adjustment is explained using the example of calculation rule (2). Here, the gas measuring device 100 is exposed to a defined reference test environment Cond.sub.Ref. The reference test environment Cond.sub.Ref has a reference concentration con.sub.Ref of target gas to be detected, a reference ambient temperature temp.sub.Ref, a reference ambient pressure p.sub.Ref, and a reference ambient humidity hum.sub.Ref. For example, con.sub.Ref=0 and hum.sub.Ref=0%, so the target gas concentration Con and the ambient humidity Hum assume the respective lowest possible value.
(85) In one implementation, the factor .sub.Ref is initially set to 0, i.e. the influence of the ambient temperature Temp and therefore the signal U(Temp) are initially neglected. The factor .sub.Ref is initially set to 1, i.e. the total detection variable Det depends on the difference between the two voltages U10 and U11. During the zero point adjustment, the factors .sub.Ref and .sub.Ref can take on other values. The zero value x0 is always set so that the total detection variable Det and thus the measured target gas concentration Con.sub.meas for the reference test environment Cond.sub.Ref, i.e. in the absence of combustible target gas, assume the value 0.
(86) A value for the factor .sub.con is then determined empirically in the calculation rule (5). The reference test environment Cond.sub.Ref is modified in such a way that it has different target gas concentrations con(1), . . . one after the other. For each target gas concentration con(1), . . . , the gas measuring device 100 provides a value det(1), . . . for the total detection variable Det. For this purpose, the gas measuring device 100 uses the factors .sub.Ref, .sub.Ref and x0 that have just been determined or set. This procedure provides a random sample {[con(1), det(1)], . . . }. The factor .sub.con is determined using this sample with the help of a regression analysis.
(87) Now, at least one test environment that has been modified compared to the reference test environment Cond.sub.Ref is created by changing at least one ambient condition.
(88) The test environment Cond.sub.Hum has a significantly higher ambient humidity Hum than the reference test environment Cond.sub.Ref, while the other ambient conditions Con, Temp, P are the same. For example, the relative ambient humidity Hum in the reference test environment Cond.sub.Ref is 0% and in the test environment Cond.sub.Hum 90%, which is the highest value at which the gas measuring device 100 can still be used. The test environment Cond.sub.P has a significantly higher or even lower ambient pressure P than the reference test environment Cond.sub.Ref, while the other ambient conditions Con, Temp, Hum are the same. For example, the test environment Cond.sub.P has an ambient pressure P that is 200 mbar higher than the reference test environment Cond.sub.Ref.
(89) The gas measuring device 100 provides a value u10(Cond.sub.Hum), u11 (Cond.sub.Hum), u(Temp) (Cond.sub.Hum) for the three signals U10, U11, U(Temp) in the test environment Cond.sub.Hum, and a value u10(Cond.sub.P), u11(Cond.sub.P), u(Temp) (Cond.sub.P) in the test environment Cond.sub.P. First, the values .sub.Ref and .sub.Con, which have been determined or set as described above, are used. A value is determined for the gain factor , which is described below. The zero value x0 is set so that a target gas concentration of zero is measured in the reference test environment Cond.sub.Ref, i.e. in the absence of combustible target gas.
(90)
(91) It can be seen that the measurement curve 50.sub.Hum intersects the x-axis at .sub.Hum=1.2. This means: At the value .sub.Hum=1.2 for the gain factor and at the resulting zero value x0.sub.Hum, the gas measuring device 100 provides the correct value 0 for the target gas concentration Con. This applies to the test environment Cond.sub.Hum. In many cases, the assumption is justified that the value .sub.Hum=1.2 leads to a correct value for the target gas concentration Con even at a lower ambient humidity Hum. The value , which compensates for the influence of the ambient temperature Temp, is then set, for example by exposing the gas measuring device 100 to a different ambient temperature and checking the resulting measured value con.sub.meas. This procedure provides a set .sub.Hum, .sub.Hum, x0.sub.Hum of parameter values. This set of parameter values is used for the humidity-optimized mode Hum
(92) In
(93) The measurement curve 50.sub.P intersects the x-axis at .sub.P=2.8. This value is used for the pressure-optimized mode P. A set of parameter values .sub.P, .sub.P, x0.sub.P for the pressure-optimized mode P is derived. For the pressure-compensating mode P_Hum, the boundary condition is used that the measured target gas concentration Con.sub.meas should deviate from the actual target gas concentration Con by a maximum of 10% LEL for each ambient humidity Hum. This boundary condition is indicated in
(94) As already explained, in many cases the assumption is justified that the target gas concentration Con acts on the detection variables U10, U11, U(Temp) independently of the ambient conditions Temp, P, Hum. Therefore, the calculation rule (5) with the already determined factor .sub.Con is preferably used. It is also possible to empirically determine a factor .sub.Con for each mode.
(95)
(96) In the procedure just described, the calculation rules (3) and (5) are used, and three different test environments Cond.sub.Ref, Cond.sub.P, Cond.sub.Hum are used. In many cases, this procedure leads to a gas measuring device 100, 100.1 which is configured to measure the target gas concentration Con with sufficient accuracy in the respective mode. A procedure that is more generally applicable is described below. This procedure requires more effort and computing time.
(97) First, the calibration for mode P is described, i.e. in the mode in which the influence of the ambient pressure P is compensated as best as possible. In the position shown in
(98) The following is an example of how the function F=F.sub.P is determined empirically. A first sample of measured values is determined. The following conditions are preferably established for the first sample of measured values: No combustible target gas is present, i.e. the target gas concentration is zero. The ambient humidity Hum assumes a constant value hum.sub.0, for example 0%. The ambient pressure P assumes M different values p(1), . . . , p(M) from the value range from P.sub.min to P.sub.max, the ambient temperature N assumes different values temp(1), . . . , temp(N) from the value range from Temp.sub.min to Temp.sub.max. Preferably, N<M. It is possible that N equals 1, i.e. that the ambient temperature Temp is the same for all values of the first sample of measured values. The M values p(1), . . . , p(M) for the ambient pressure P and the N values temp(1), . . . , temp(N) for the ambient temperature Temp are selected so that these values can actually occur during use.
(99) A total of M*N different conditions are therefore produced for the first sample of measured values. Each condition x.sub.i,j (i=1, . . . , M; j=1, . . . , N) specifies a constant target gas concentration con(1) [preferably con(1) equal to zero], an ambient pressure p(i), an ambient temperature temp(j) and the ambient humidity hum(1). The gas measuring device 100 is successively exposed to these M*N different conditions x.sub.1,1, . . . , x.sub.M,N and the three detection variables U10, U11, U(Temp) are measured. Each condition x.sub.i,j leads to three measured values u10(x.sub.i,j), u11(x.sub.i,j), u(Temp)(x.sub.i,j) for the three variables U10, U11, U(Temp). The first sample of measured values therefore consists of M*N sample elements, whereby each sample element has the form
(100)
(101) As already explained above, the function F=F.sub.P in the calculation rule (1) depends on several parameters Par(1), . . . , Par(x), x>=2. If, for example, the calculation rule (3) is used, these are the x=3 parameters =.sub.P, =.sub.P, x0=x0.sub.P or, if the zero value x0 is constant, the two parameters =.sub.P and =.sub.P. If each parameter par(1), . . . , par(x) in the function F.sub.P is assigned a value par(1), . . . , par(x) and then the calculation rule (1) is applied to a triple [u10(x.sub.i,j), u11(x.sub.i,j), u(Temp)(x.sub.i,j)], the application returns a value
(102)
for the total detection variable Det. This provides an initial detection variable sample with M*N sample elements, where each sample element has the form
(103)
with (i=1, . . . , M; j=1, . . . , N).
(104) When operating in mode P, the influence of the ambient pressure P should be compensated for as far as possible by calculation. This means: The total detection variable Det is determined in such a way that it depends as little as possible, ideally not at all, on the ambient pressure P. It is accepted that it depends relatively strongly on the ambient humidity Hum and at least somewhat on the ambient temperature Temp.
(105) In order to determine the total detection variable Det for operation in mode P, x values par(1), . . . , par(x) are to be determined for the x parameters par(1), . . . , par(x) of the function F.sub.P. Each set par(1), . . . , par(x) of parameter values leads to an empirical variance Var=Var[par(1), . . . , par(x)] of the resulting first detection variable sample. The parameter values par(1), . . . , par(x) are determined in such a way that they lead to a minimum empirical variance Var in the first detection variable sample. To determine the parameter values par(1), . . . , par(x), a target function is therefore numerically minimized. The variables of these target functions are the x parameters Par(1), . . . , Par(x) of the function F.sub.P. The target function is an indicator of the empirical variance Var of the total detection variable Det=F.sub.P [U10, U11, U(Temp)].
(106) This procedure is explained by way of example for the preferred embodiment that the calculation rule (3) is used. Each value triplet for the three parameters .sub.P, .sub.P, x0.sub.P leads to a value var for the empirical variance Var of the resulting first detection variable sample. The following applies
(107)
(108) The target function to be minimized is therefore the indicator of the empirical variance Var of the total detection variable Det=U10.sub.P*U11.sub.P*U(Temp)x0.sub.P. as a function of the three parameters .sub.P, .sub.P, x0.sub.P.
(109) The difference between the largest value max {det(x.sub.i,j), where i=1, . . . , M; j=1, . . . , N} and the smallest value min {det(x.sub.i,j), where i=1, . . . , M; j=1, . . . , N} for the total detection variable Det can be used as an indicator of the empirical variance Var. It is also possible to use the following calculation rule:
(110)
with
(111)
(112) The two-stage procedure described below significantly reduces the calculation effort. In many cases, it leads to a similarly good result for mode P.
(113) The function F.sub.P of the calculation rule (1) is simplified and divided into two functions, namely
(114)
(115) The two functions F.sub.P,10,11 and F.sub.P,Temp each depend on at least one parameter. A special form of (12) is the calculation rule (3) with
(116)
(117) First, a value is defined for the or each parameter of the function F.sub.P,10,11. In the configuration according to the calculation rule (3), a value is defined for each of the parameters .sub.P and x0.sub.P. For this purpose, a reduced first detection variable sample is used, in which the measured values of the temperature sensor 14 are omitted. Each sample element of this reduced detection variable sample therefore has the form
(118)
(119) With the help of this reduced first detection variable sample, the respective value for the or each parameter of the function F.sub.P,10,11 is determined in such a way that the indicator for the empirical variance Var is minimized.
(120) The function F.sub.P,10,11 is now defined. This function F.sub.P,10,11 is applied to the reduced detection variable sample. To be more precise: The function F.sub.P,10,11 is applied to the respective two values u10(x.sub.i,j), u11(x.sub.i,j) in each sample element of the form (8), namely
(121)
is used. With the designation det.sub.P,10,11 (x.sub.i,j)=F.sub.P,10,11 [u10(x.sub.i,j), u11(x.sub.i,j)], a reduced second detection variable sample is generated in which each sample element has the form
(122)
(123) This sample is used to determine a value for the or each parameter of the function F.sub.P,Temp. In the case of calculation rule (3), this is a value for the single parameter .sub.P. The or each value is again set so that the indicator of variance Var is minimized.
(124) In a further simplification, the zero value x0.sub.P is determined under typical ambient conditions and depending on a gain factor . The ambient conditions are, for example, 20 C., 1000 mbar and 0% relative humidity. The two detection variable samples just described are used to first calculate the gain factor .sub.P for the compensator voltage U11 and then the gain factor .sub.P for the measured ambient temperature U(Temp). The previously used zero value x0 is used here without changing it.
(125) Different variants of this procedure are possible.
(126) As described above, a first detection variable sample is derived from the first measured value sample, wherein the first measured value sample has the form (6) and the first detection variable sample has the form (7) and each sample has M*N sample elements. It is also possible to derive a first concentration sample with M*N sample elements from the first measured value sample, with each sample element having the form
(127)
with (i=1, . . . , M; j=1, . . . , N).
(128) In one embodiment, a second sample of measured values is determined in addition to the first. Just as with the first sample of measured values, the ambient humidity Hum assumes the constant value hum.sub.0, the ambient pressure P M assumes different values and the ambient temperature Temp N assumes different values. In contrast to the first sample of measured values, however, combustible target gas is present in the environment. The function, which is derived empirically with the help of the first sample of measured values, is designated F.sub.P,0. A function F.sub.P,con is derived empirically using the second sample of measured values. The applied function F is derived by a suitable averaging of the two functions F.sub.P,0 and F.sub.P,con.
(129) The configuration for the P_Hum mode is now described. The measured value con.sub.meas for the target gas concentration Con.sub.meas should vary by a maximum of x % depending on the ambient humidity Hum if the ambient humidity Hum remains within a specified humidity range.
(130) Again, the first sample of measured values is used, i.e. a sample with sample elements, where each sample element has the form (6), i.e.
(131)
The first sample of measured values has the same ambient humidity hum(x.sub.1) throughout.
(132) In addition, K-1 further samples of measured values are generated, K>=2. For each second sample, a value hum(2), . . . , hum(K) is set for the ambient humidity Hum throughout, whereby the total of K values hum(1), . . . , hum(K) are all different from each other. The first sample was generated at M*N conditions x.sub.i,j,1=x.sub.i,j (i=1, . . . , M*N), where the ambient conditions were con(1), p(i), temp(j), hum(1) (i=1, . . . , M; j=1, . . . , N). For each additional sample, the M*N conditions x.sub.i,j,k (i=1, . . . , M; j=1, . . . , N; k=2, . . . , K) are present.
(133) In total, there are K samples, each with M*N sample elements, whereby sample no. k has the form
(134)
(135) In P_Hum mode, the evaluation unit 9 applies the calculation rule
(136)
Preferably, the calculation rule (18) has the form
(137)
Values are to be calculated for the x parameters Par(1), . . . , Par(x) of the function F.sub.P_Hum.
(138) The derivation of a first detection variable sample was described above with reference to the calculation rule (7). This procedure is modified. Accordingly, K detection variable samples are derived. Each detection variable sample has M*N sample elements, where each sample element has the form
(139)
(140) The above-mentioned boundary condition that the measured value con for the target gas concentration Con should vary by a maximum of x % depending on the ambient humidity Hum leads to a boundary condition for the total detection variable Det, which should vary by a maximum of y % depending on the ambient humidity Hum. The factor y depends on the specified functional relationship between the target gas concentration Con and the total detection variable Det, whereby this relationship is described by the calculation rule (4), in particular by the calculation rule (5). For example, the total detection variable Det should lie within a tolerance band of width y % when the ambient humidity Hum fluctuates. This leads, for example, to the requirement
(141)
for all i=1, . . . , M; j=1, . . . , N; k=1, . . . , K), wherein det.sub.avg is the mean value of all sample elements of the detection variable sample(s).
(142) The parameter values par(1), . . . , par(x) for the function F.sub.P_Hum of the calculation rule (18) are defined in such a way that the boundary condition (21) is met.
(143) While specific embodiments of the invention have been shown and described in detail to illustrate the application of the principles of the invention, it will be understood that the invention may be embodied otherwise without departing from such principles.
(144) TABLE-US-00001 List of reference symbols 100 Gas measuring device, comprises the detector 10, the compensator 11, the temperature sensor 14, the control unit 6 and the data memory 7 as well as optionally the humidity sensor 17 and the pressure sensor 18 2 Optional flame protection in front of openings 1, 2 5 Compensator chamber, surrounds the compensator 11 6 Control unit, receives signals from sensors 12.1, 12.2, 13.1, 13.2, 14 7 Data memory in which the model Mod is stored 7.1 Data memory of the additional gas measuring device 100.1, in which the model Mod.1 is stored 8 Detector chamber, surrounds the detector 10 9 Evaluation unit, belongs to control unit 6, derives the target gas concentration Con.sub.meas 10 Detector, comprises the heating segment 20 11 Compensator, comprises the heating segment 38 12.1 Voltage sensor, measures the voltage U10 12.2 Voltage sensor, measures the voltage U11 13.1 Amperage sensor, measures the current I.1 13.2 Amperage sensor, measures the current I.2 14 Temperature sensor, measures the difference Temp between the ambient temperature and a reference temperature 16 Selection unit in the form of a switch with which a user can select a mode 17 Humidity sensor of the gas measuring device 100, measures the ambient humidity Hum 18 Pressure sensor of the gas measuring device 100, measures the pressure difference P 20 Heating segment of the detector 10 24 Electrical contacts for the heating detector segment 20 25 Ceramic coating (sheathing) around the heating detector segment 20 26 Catalytic coating on the ceramic coating 25 27 Mounting plate of the detector 10 30 Electrically conductive component in the form of a conductor track of the detector 10 configured as a flat component 31 Support plate for component 30 32 Heating segment, belongs to component 30 33 Wafer substrate, supports the carrier plate 31 34 Electrical contact points 34 for the component 30 35 Protective coating on the component 30 38 Heating segment of the compensator 11 43, 44 Voltage sources 46 Electrical contacts for component 30 50.sub.Hum Dependence of the measurement error Con.sub.meas Con on the gain factor in the test environment Cond.sub.Hum 50.sub.P Dependence of the measurement error Con.sub.meas Con on the gain factor in the test environment Cond.sub.P 100 Gas measuring device 100.1 Further gas measuring device 110 Calibration device, generates the models Mod and Mod.1, comprises the humidity sensor 117 and the pressure sensor 118, comprises the components 110.1 and 110.2 117 Humidity sensor of the calibration device 110 118 Pressure sensor of the calibration device 110 Gain factor for the compensator voltage U11 in the total detection variable Det .sub.Hum Gain factor for humidity-optimized mode .sub.Hum.sub.