Method for measuring a concentration of a gas and associated apparatus
The invention relates to a method for measuring a concentration of a gas in a gas mixture, said method comprising that: a light beam modulated in a ramp shape and/or in a step shape in its wavelength and additionally periodically modulated, in particular in its wavelength, is transmitted from a light source, in particular a laser, into a measurement zone; the modulated light beam passes through a gas mixture in the measurement zone and is detected as reception light by a detector, wherein the reception light is converted by the detector into a detector signal; a derivative signal is determined based on the detector signal by performing a transformation of the detector signal into the frequency range, in particular by a Fourier transform of the detector signal, wherein an evaluation of the detector signal transformed into the frequency range is performed, in particular only, for an n-fold of the frequency of the modulated light beam in order to obtain the derivative signal; and at least two measurement values of a phase of the derivative signal are determined and a correction function is calculated based on the determined measurement values of the phase of the derivative signal in order to correct the derivative signal with the correction function.
1 . A method for measuring a concentration of a gas in a gas mixture, said method comprising that:
a light beam modulated in a ramp shape and/or in a step shape in its wavelength and additionally periodically modulated is transmitted from a light source into a measurement zone;
the modulated light beam passes through a light-absorbing medium in the measurement zone and is detected as reception light by a detector, wherein the reception light is converted by the detector into a detector signal;
a derivative signal is determined based on the detector signal by performing a transformation of the detector signal into the frequency range wherein an evaluation of the detector signal transformed into the frequency range is performed for an n-fold of the frequency of the modulated light beam in order to obtain the derivative signal; and
at least two measurement values of a phase of the derivative signal are determined and a correction function is calculated based on the determined measurement values of the phase of the derivative signal in order to correct the derivative signal with the correction function.
2 . The method in accordance with claim 1 ,
wherein the light beam is likewise modulated in its wavelength.
3 . The method in accordance with claim 1 ,
wherein the light source is a laser.
4 . The method in accordance with claim 1 ,
wherein the transformation of the detector signal into the frequency range is a Fourier transform of the detector signal.
5 . The method in accordance with claim 1 ,
wherein the evaluation of the detector signal transformed into the frequency range is performed only for an n-fold of the frequency of the modulated light beam.
6 . The method in accordance with claim 1 ,
wherein the correction function is determined for a predetermined spectral range and the correction function is used to correct the phase of the derivative signal.
7 . The method in accordance with claim 1 ,
wherein the correction function is determined by means of a curve fitting.
8 . The method in accordance with claim 1 ,
wherein the correction function comprises a linear and/or a polynomial function.
9 . The method in accordance with claim 1 ,
wherein a determination of an error that indicates that the correction function is erroneous takes place based on a difference between the determined measurement values of the phase of the derivative signal and predefined comparison values, wherein the error is determined when the magnitude of the difference between the determined measurement values of the phase of the derivative signal and the predefined comparison values is greater than a threshold value ε 1 .
10 . The method in accordance with claim 1 ,
wherein a determination of an error that indicates that the correction function is erroneous takes place based on an imaginary part of a complex numerical value of the corrected derivative signal, wherein an error is determined when the magnitude of the imaginary part assumes values that are greater than a threshold value ε 2 .
11 . The method in accordance with claim 1 ,
wherein the determination of the phase of the derivative signal takes place at regular time intervals.
12 . The method in accordance with claim 1 ,
wherein the determination of the phase of the derivative signal is triggered by a trigger event.
13 . An apparatus for measuring a concentration of a gas of a gas mixture, said apparatus comprising:
a light source that is configured to transmit a light beam that is modulated in a ramp shape and/or in a step shape in its wavelength and that is additionally periodically modulated into a measurement zone, wherein the apparatus comprises a detector that is configured to detect reception light from the measurement zone and to convert it into a detector signal;
a calculation module that is configured to determine a derivative signal based on the detector signal in that the calculation module performs a transformation of the detector signal into the frequency range, wherein the calculation module is configured to perform an evaluation of the detector signal transformed into the frequency range for an n-fold of the frequency of the modulated light beam in order to obtain the derivative signal; and
a correction module that is configured to determine at least two measurement values of a phase of the derivative signal and to calculate a correction function based on the determined measurement values of the phase of the derivative signal in order to correct the derivative signal with the correction function.
14 . The apparatus in accordance with claim 13 ,
wherein the apparatus is a laser spectrometer.
15 . The apparatus in accordance with claim 13 ,
wherein the light source is a laser.
16 . The apparatus in accordance with claim 13 ,
wherein the calculation module is configured to perform a Fourier transform of the detector signal.
17 . The apparatus in accordance with claim 13 ,
wherein an evaluation module is configured to determine whether the correction function is erroneous and to output a maintenance signal in the event of a positive determination.
18 . The apparatus in accordance with claim 17 ,
wherein the apparatus is configured to change to a safe operating state when the maintenance signal is present.