1. Field of the Invention
The invention relates to a method for determining the concentration of a measurement gas component in a gas mixture using a non-dispersive infrared (NDIR) two beam gas analyzer.
The invention furthermore relates to a NDIR two beam gas analyzer.
2. Description of the Related Art
WO 2008/135416 A1 discloses a conventional method and a gas analyzer which serve for determining the concentration of a measurement gas component in a gas mixture. To this end, infrared radiation generated by an infrared radiation source is guided alternately through a measurement cell receiving the gas mixture and a reference cell containing a reference gas. The radiation exiting the two cells is detected using a detector array, where a measurement signal is generated and subsequently evaluated in an evaluation unit. Typical detector arrays include one or more optopneumatic detectors comprising single-layer or double-layer receivers. The radiation is switched between the measurement cell and reference cell using a modulator, which is typically a paddle wheel or chopper. If, for zeroing purposes, both cells are filled with the same gas, i.e., zero gas such as nitrogen or air, and the gas analyzer is optically balanced, the same radiation intensity always reaches the detector array with the result that no measurement signal (change signal) is generated. If the measuring cell is filled with the gas mixture to be examined, pre-absorption that is dependent on the concentration of the measurement gas component contained therein and of any cross gases that may be present occurs. As a result, different radiation intensities temporally sequentially reach the detector array in step with the modulation from the measurement cell and the reference cell, which detector array generates as a measurement signal a change signal with the frequency of the modulation and a variable that is dependent on the difference of the radiation intensities.
The radiation intensity that is incident on the detector array is, however, not just dependent on the gas-specific absorption but also on other variables influencing the intensity of the infrared radiation. Influence variables of this type, such as dirt-, ageing- or temperature-related changes at the infrared radiation source or detector array cannot be readily identified and can lead to incorrect measurement results.
It is necessary for this reason to calibrate the gas analyzer at regular intervals where, for example, the measurement cell is filled successively with zero gas and span gas, i.e., known concentrations of the measurement gas.
For calibrating a NDIR two beam gas analyzer, DE 195 47 787 C1 discloses filling of the measurement cell with a zero gas and interruption of the radiation passing through the reference cell using an aperture. In this way, a one-beam functionality of the gas analyzer is achieved, which enables referencing, for example, to the intensity of the infrared radiation source, without the need to fill the measurement cell with a calibration gas.
In the case of a NDIR two beam gas analyzer known from EP 1 640 708 A1, at least two dark phases are generated within the modulation period, during which the radiation passing through both the measurement cell and through the reference cell is interrupted. In this way, a harmonic with double the frequency is modulated onto the fundamental of the measurement signal. After a Fourier analysis of the measurement signal has been performed, measurement variables normalized by the two first Fourier components are determined and the concentration of the measurement gas component is determined by coordinate transformation of the normalized measurement variables.
In the case of the NDIR two beam gas analyzer known from the already mentioned WO 2008/135416 A1, the detector array has at least two one-layer receivers, which each provide one measurement signal and are located one after the other in the beam path of the gas analyzer. The first one-layer receiver contains, for example, the measurement gas component and the at least one one-layer receiver arranged downstream contains a cross gas. The evaluation unit contains an n-dimensional calibration matrix corresponding to the number n of the one-layer receivers, in which calibration matrix measurement signal values, which are obtained at different known concentrations of the measurement gas component in the presence of different known cross gas concentrations, are stored as n-tuples. When measuring unknown concentrations of the measurement gas component in the presence of unknown cross gas concentrations, the concentration of the measurement gas component is ascertained by comparing the n-tuples of signal values obtained during the measurement with the n-tuples of signal values stored in the calibration matrix. Moreover, for example, if the cross gas concentrations are kept constant, the intensity of the generated radiation can be varied to ascertain the influence of transmittance changes, which are caused by ageing of the infrared emitter or dirt on the measurement cell, on the measurement result.
It is an object of the invention to simplify detection of and compensation for error influences, such as dirt-, ageing- or temperature-related changes at an infrared radiation source or detector array.
This and other objects and advantages are achieved in accordance with the invention by a method and NDIR two beam gas analyzer wherein a phase imbalance in switching of radiation between a measurement cell and a reference cell is produced, a measurement signal is detected phase-sensitively with respect to modulation of the radiation, where a measurement signal vector with amplitude information and phase information is obtained. In accordance with the invention, in the calibration of the gas analyzer, measurement signal vectors of different amplitude and phase, which define a characteristic curve, are ascertained for different known concentrations of the measurement gas component, and in the measurement of an unknown concentration of the measurement gas component, the unknown concentration of the measurement gas component is ascertained from the intersection point of the measurement signal vector, obtained in the measurement, or its extension with the characteristic curve.
Other objects and features of the present invention will become apparent from the following detailed description considered in conjunction with the accompanying drawings. It is to be understood, however, that the drawings are designed solely for purposes of illustration and not as a definition of the limits of the invention, for which reference should be made to the appended claims. It should be further understood that the drawings are not necessarily drawn to scale and that, unless otherwise indicated, they are merely intended to conceptually illustrate the structures and procedures described herein.
For the purposes of further illustrating the invention, reference is made below to the figures of the drawing; specifically, the figures show in each case in the form of an exemplary embodiment, in which:
The evaluation unit 21 contains a calibration matrix 22, which corresponds to the abovementioned result matrix and which is shown in detail in
Different cross gas concentrations with different concentrations of the measurement gas component are fed successively into the measurement cell 4. For each available concentration, one value pair 23 of the signals Sa and Sb is measured, as is shown by way of example in the table which follows. Based on the recorded value pairs of the signals Sa and Sb and the associated known concentration values of the measurement gas component, the calibration matrix 22 is compiled, with intermediate values being formed by interpolation of the recorded or known support values. The calibration matrix 22 can also be stored in the evaluation unit 21 as a mathematical function describing it and the associated function parameters. A reduced measurement series according to the table can suffice for compiling the calibration matrix 22.
For real measurement situations, generally the cross gases and the fluctuation ranges of their concentrations that can be expected are known (for example, minimum 5000 ppm to maximum 15000 ppm), with the result that a corridor 24 can be defined in the calibration matrix 22, within which the value pairs 23, which are dependent on the concentrations of the measurement gas component and of the known cross gases, will normally fall. For variable concentrations of the measurement gas component, the value pairs 23 move in the direction designated 25 and, for the variable concentrations of the cross gases that can be expected, they move in the direction designated 26. Therefore, if for successive measurements the value pair 23 moves in a direction that also has, in addition to a component in the direction 25, a component in the direction 26, the cross gas influence on the measurement result can be compensated for by ascertaining the direction component 26 and computationally moving the value pair 23 back by this component 26. With the value pair that is corrected in this manner, the calibration matrix 22 gives the correct value of the concentration of the measurement gas component. The movement directions 25 and 26 can, however, be superimposed with additional movement directions which result from fluctuations of further measurement-specific and/or apparatus-specific parameters, such as the output of the infrared emitter 1 or dirt on the measurement cell 4. This makes it difficult to distinguish between cross gas influences and other error influences and to correct the measurement result accordingly.
In order to separate cross gas influences from other error influences such as dirt-, ageing- or temperature-related changes at the infrared radiation source 1 or detector array 10, a fixed phase imbalance in the switching of the radiation 2 between the measurement cell 4 and the reference cell 5 is initially produced.
As shown in
As shown in
Due to the phase imbalance, the measurement signals Sa and Sb contain, in addition to amplitude information, phase information. While the measurement gas component and cross gases in the measurement cell 4 influence both the amplitude and the phase of the respective measurement signal Sa or Sb, intensity changes of the infrared radiation 2, which affect the beam paths in both cells 4 and 5 in equal measure, affect only the amplitude of the respective measurement signal Sa or Sb. Such changes in intensity of the infrared radiation 2 which affect the beam paths in both cells 4 and 5 in equal measure can result in particular from dirt-, ageing- or temperature-related changes at the infrared radiation source 1 or detector array 10. By separating the amplitude information and phase information of the measurement signals Sa and Sb, it is thus possible to distinguish between influences on the measurement result M owing to measurement and cross gases, on the one hand, and to changes at the infrared radiation source 1 and detector array 10, on the other hand, and the measurement result M can be corrected accordingly.
In order to separate the amplitude information and phase information, for example, each of the two measurement signals Sa and Sb can each be detected in the evaluation unit 21 using a double lock-in amplifier phase-sensitively with respect to the modulation of the radiation 2, where a measurement signal vector with an in-phase component and a quadrature component is produced. This will be explained below for a measurement signal S as representative, which in each case represents one of the measurement signals Sa and Sb.
The top part of
In the exemplary illustrated embodiment, one value of the in-phase component Sx is assigned bijectively (one-to-one correspondence) to each point on the characteristic curve 43. As a result, it is also possible to use, rather than the length of the measurement signal vector S, its in-phase component Sx to determine the current concentration of the measurement gas component. In comparison, in the exemplary embodiment shown, it is not possible to use the quadrature component Sy because different points on the characteristic curve 43 within a partial region of the characteristic curve 43 have the same quadrature component. By setting the angle distance, viewed in the rotation direction of the chopper 8, between the light barrier 33 and the cells 4, 5 or the phase shift φ by the phase shifter 38, however, the characteristic curve 43 can be rotated in the direction of the arrow 44 about the origin 0 of the coordinate system until each point on the characteristic curve 43 has bijectively assigned to it one value of the quadrature component Sy. Then the quadrature component Sy can also be used to determine the current concentration of the measurement gas component.
If, owing to ageing-, dirt- or temperature-related changes at the infrared radiation source 1 or detector array 10, the intensity of the generated or detected infrared radiation 2 changes with respect to the calibration state of the gas analyzer, this results during the measurement in a measurement signal vector SF, the head of which is located outside the characteristic curve 43. As already explained, however, because of these intensity changes of the infrared radiation 2, which affect the beam paths in the two cells 4 and 5 in equal measure, only the amplitude and not the phase of the measurement signal vector SF is influenced. The measurement signal vector SF can therefore be corrected in a simple manner, by being lengthened or shortened up to the characteristic curve 43 while keeping its phase angle φF. From the intersection point 45 of the measurement signal vector sF or its extension with the characteristic curve 43, it is then possible, as already explained above, to ascertain the unknown concentration of the measurement gas component. The length of the uncorrected measurement signal vector SF with respect to the length of the measurement signal vector SF, which has been corrected up to the point 45 on the characteristic curve 43, is a measure of the quality of the measurement signal SF and can be output by the evaluation unit 21 together with the measurement result M.
In measurement practice, however, not only the concentration of the measurement gas component in the measurement cell 4 but also that of the cross gases is variable, with the result that, on account of the previously explained separation of amplitude information and phase information of the measurement signal, a distinction is made only between the influence of the measurement and cross gases on the measurement result M, on the one hand, and the influence of changes at the infrared radiation source 1 and detector array 10 on the measurement result M, on the other hand. The distinction between the influence of the measurement gas on the measurement result M and the influence of the cross gases on the measurement result M is made by generating the two (or more) measurement signals Sa and Sb, which are evaluated using the calibration matrix 22 after correction in a correction unit 46 of the evaluation unit 21 according to the method described in connection with
As already mentioned, the characteristic curve 43 can be stored in the correction unit 46 of the evaluation unit 21 as a table or a mathematical function f(Sx, Sy). In order to simplify the function f(Sx, Sy) and to reduce the computational complexity for correcting the measurement signal vector SF, it is possible, as shown in
The measurement signal is detected phase-sensitively with respect to the modulation of the infrared radiation to obtain a measurement signal vector with amplitude information and phase information, as indicated in step 1020.
Measurement signal vectors of different amplitude and phase are ascertained for different known concentrations of the measurement gas component during a calibration of a gas analyzer, as indicated in step 1030. Here, the measurement signal vectors define a characteristic curve.
An unknown concentration of the measurement gas component is ascertained in the measurement of an unknown concentration of the measurement gas component from an intersection point of a measurement signal vector, obtained in the measurement, or its extension with the characteristic curve, as indicated in step 1040.
Thus, while there have shown and described and pointed out fundamental novel features of the invention as applied to a preferred embodiment thereof, it will be understood that various omissions and substitutions and changes in the form and details of the devices illustrated, and in their operation, may be made by those skilled in the art without departing from the spirit of the invention. For example, it is expressly intended that all combinations of those elements and/or method steps which perform substantially the same function in substantially the same way to achieve the same results are within the scope of the invention. Moreover, it should be recognized that structures and/or elements and/or method steps shown and/or described in connection with any disclosed form or embodiment of the invention may be incorporated in any other disclosed or described or suggested form or embodiment as a general matter of design choice. It is the intention, therefore, to be limited only as indicated by the scope of the claims appended hereto.
Number | Date | Country | Kind |
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10 2009 021 829.7 | May 2009 | DE | national |
This is a U.S. national stage of application No. PCT/EP2010/056770 filed 18 May 2010. Priority is claimed on German Application No. 10 2009 021 829.7 filed 19 May 2009, the content of which is incorporated herein by reference in its entirety.
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/EP2010/056770 | 5/18/2010 | WO | 00 | 1/4/2012 |