WO1993020411A1 - Method and device for determination of the velocity of a gas flowing in a pipe - Google Patents

Method and device for determination of the velocity of a gas flowing in a pipe Download PDF

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Publication number
WO1993020411A1
WO1993020411A1 PCT/FI1992/000278 FI9200278W WO9320411A1 WO 1993020411 A1 WO1993020411 A1 WO 1993020411A1 FI 9200278 W FI9200278 W FI 9200278W WO 9320411 A1 WO9320411 A1 WO 9320411A1
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Prior art keywords
sound
upstream
downstream
sequences
flow
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PCT/FI1992/000278
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French (fr)
Inventor
Pekka HIISMÄKI
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Valtion Teknillinen Tutkimuskeskus
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Priority to FI924880A priority Critical patent/FI89835C/en
Priority to CN 93104014 priority patent/CN1078552A/en
Publication of WO1993020411A1 publication Critical patent/WO1993020411A1/en

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Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S11/00Systems for determining distance or velocity not using reflection or reradiation
    • G01S11/14Systems for determining distance or velocity not using reflection or reradiation using ultrasonic, sonic, or infrasonic waves
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01FMEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
    • G01F1/00Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow
    • G01F1/66Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow by measuring frequency, phase shift or propagation time of electromagnetic or other waves, e.g. using ultrasonic flowmeters
    • G01F1/667Arrangements of transducers for ultrasonic flowmeters; Circuits for operating ultrasonic flowmeters
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01FMEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
    • G01F1/00Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow
    • G01F1/704Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow using marked regions or existing inhomogeneities within the fluid stream, e.g. statistically occurring variations in a fluid parameter
    • G01F1/708Measuring the time taken to traverse a fixed distance
    • G01F1/712Measuring the time taken to traverse a fixed distance using auto-correlation or cross-correlation detection means
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01PMEASURING LINEAR OR ANGULAR SPEED, ACCELERATION, DECELERATION, OR SHOCK; INDICATING PRESENCE, ABSENCE, OR DIRECTION, OF MOVEMENT
    • G01P5/00Measuring speed of fluids, e.g. of air stream; Measuring speed of bodies relative to fluids, e.g. of ship, of aircraft
    • G01P5/18Measuring speed of fluids, e.g. of air stream; Measuring speed of bodies relative to fluids, e.g. of ship, of aircraft by measuring the time taken to traverse a fixed distance
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01PMEASURING LINEAR OR ANGULAR SPEED, ACCELERATION, DECELERATION, OR SHOCK; INDICATING PRESENCE, ABSENCE, OR DIRECTION, OF MOVEMENT
    • G01P5/00Measuring speed of fluids, e.g. of air stream; Measuring speed of bodies relative to fluids, e.g. of ship, of aircraft
    • G01P5/24Measuring speed of fluids, e.g. of air stream; Measuring speed of bodies relative to fluids, e.g. of ship, of aircraft by measuring the direct influence of the streaming fluid on the properties of a detecting acoustical wave
    • G01P5/245Measuring speed of fluids, e.g. of air stream; Measuring speed of bodies relative to fluids, e.g. of ship, of aircraft by measuring the direct influence of the streaming fluid on the properties of a detecting acoustical wave by measuring transit time of acoustical waves
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01FMEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
    • G01F1/00Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow
    • G01F1/704Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow using marked regions or existing inhomogeneities within the fluid stream, e.g. statistically occurring variations in a fluid parameter
    • G01F1/708Measuring the time taken to traverse a fixed distance
    • G01F1/7082Measuring the time taken to traverse a fixed distance using acoustic detecting arrangements

Definitions

  • the invention concerns a method for measurement of the flow velocity, the volumetric flow, and/or of the mass flow of a gas that flows in a pipe, in which method sound detectors are fitted in the flow pipe at a certain distance from one another in the longitudinal direction of the measurement pipe, and in which method a long-wave sound that proceeds in the flow pipe downstream and upstream exclusively in the base mode as a plane-wave front is fed into the flow pipe by means of sound sources from outside the measurement distance defined by said detectors, and the flow quantities are determined from the travel times of said sound downstream and upstream over the measurement distance, from the cross-sectional area of the pipe, and from the density of the gas to be measured.
  • the invention concerns a device for measurement of the gas flow velocity and/or of quantities derived from same, such as volumetric flow and/or mass flow, which device comprises a measurement pipe, in which the flow to be measured runs, and which device comprises loudspeakers as the transmitters of the wide-band, low-frequency sound signals that proceed exclusively as a plane-wave front in the base mode and power amplifiers for said loudspeakers, and microphones as the sound detectors and amplifiers for the microphone signals, and which device is provided with calculator devices and programs so as to calculate said flow quantity or quantities from the distance between the sound detectors in the longitudinal direction of the flow pipe, from the cross-sectional area of the measurement pipe, from the density of the flowing gas, and from the travel times of the sound signals downstream and upstream over the distance between the sound detectors.
  • f c (c - v ma ⁇ )/(1.7*D) (1)
  • c the travel speed of sound in the gas at rest
  • v ma ⁇ the highest dimensioned flow velocity
  • D is the diameter of the pipe.
  • a sound that is transmitted in the form of frequency scanning and a filter connected to follow said sound in principle, also permit that sound is transmitted in both directions at the same time, but with a different momentary frequency, in which case the downstream signals and the upstream signals of the two sound detectors can be separated by means of a total of four scannable filters, as is described in the FI Pat. Appl. No. 916102.
  • frequency scanning is, in principle, non-stationary, in which case the necessary filters are also time-dependent. This results in dispersion, i.e. the time delay of the filters is dependent on the frequency, which further readily results in an error in the determination of the travel time if the scanning is not chosen correctly, if the scanning is chosen too rapid, or if the beginning and the end of the scanning are not cut off from the measurement.
  • These drawbacks can be avoided if, in stead of frequency scanning, wide-band transmissions are employed in which all frequencies sound constantly with an invariable amplitude. At the same time, this means that sound is transmitted in both directions simultaneously.
  • the present DSP-technique permits even a versatile processing of signals of audio frequency in real time and provides a number of possibilities for determination of the travel-time information in a noisy environment.
  • the method of the invention is mainly characterized in that said sound is transmitted into the measurement pipe as stationary, periodic sequences that proceed over the measurement distance simultaneously in both directions, downstream the sequence S d (t,T) and upstream the sequence S u (t,T), wherein T is the length of the period and t is the relative time measured from the beginning of each period, and that said sequences S d (t,T),S u (t,T) are orthogonal in relation to one another, i.e. they have no common frequency components different from zero.
  • the device in accordance with the invention is mainly characterized in that the sound transmitted through said loudspeakers is composed of wide-band sequences of equal periods, which are transmitted during the period T simultaneously downstream and upstream, the downstream sequence S d (t,T) and the upstream sequence S u (t,T), which sequences S d (t,T),S u (t,T) are arranged as orthogonal in relation to one another, i.e. they include no common frequency components different from zero.
  • Figure 1 is a general block-diagram illustration of an acoustic system of measurement in accordance with the invention
  • Figure 2 illustrates sound sequences transmitted downstream and upstream
  • Figure 3 the upper curve represents a correlation peak consisting of even frequencies and imagined as measured downstream
  • the lower curve represents a correlation peak consisting of odd frequencies and imagined as measured upstream
  • Figure 4 illustrates, in a way corresponding to Fig. 3, an application in which, in stead of a second sequence to be correlated, a Hubert transform of same has been chosen
  • Figure 5 shows graphs of a phase difference obtained with even and odd frequencies in an application in which the modulation arises from reflection echoes alone
  • Figure 6 shows the cumulative distributions corresponding to Fig. 5.
  • Fig. 1 is a general block-diagram illustration of a system by whose means the invention can be carried into effect advantageously.
  • the flow to be measured e.g. a natural-gas flow
  • the sound sources 2a and 2b preferably loudspeakers
  • 5a and 5b are signal amplifiers
  • 6 is a real-time processor, preferably a digital signal processor provided with necessary analog inputs and outputs, by means of which processor 6 it is possible to carry out the procedures based on FFT-algorithms or on FIR-filter algorithms
  • 7 is a system processor, through which the communication between the real-time processor 6, the display device 8 and a separate PC work station 9 is accomplished.
  • the sounds that are transmitted simultaneously in both directions from the loudspeakers 2a and 2b do not interfere with each other and that the measurement is also as insensitive to the noise in the pipe 1 as possible.
  • the principal idea of the invention is to transmit, from the loudspeakers 2a and 2b into the measurement pipe 1, downstream and upstream, such wide-band sound sequences S d (t,T),S u (t,T) of equal periods as do not include any common frequency component and as are, thus, orthogonal, i.e. their correlation function disappears identically:
  • the signals of the microphones 3a and 3b herein, let D L (t,T) represent the signal of the microphone 3a at the left end of the measurement distance L, and let D R (t,T) represent the signal of the microphone 3b at the right end of the measurement distance L, with the exception of the background noise, can be reduced unequivocally to downstream and upstream components orthogonal in relation to one another:
  • the principal idea of the present invention permits the solution of a number of problems that deteriorate the signal-to-noise ratio and leads to several different alternative embodiments.
  • the proportion of the external pipe noise that occurs in these discrete frequency components is the smaller, the higher the number of the periods is over which the situation is examined.
  • the periodic signal increases in proportion to N, whereas the incommensurable noise increases in proportion to the square root of N.
  • phase angles of the discrete frequency components can be chosen freely, in principle. In order to avoid the effect of non-linearity of loudspeakers 2a and 2b or of equivalent sound sources and, for example, owing to safety regulations concerning natural-gas pipes, it is advisable to avoid momentary peaks of sound power. This aim is carried into effect readily if said phase angles are chosen at random.
  • the frequency range to be used is limited at the upper end by the so-called cut-off frequency [formula (1)], at which, in addition to the piston mode, the first non-attenuating higher mode occurs, which has a different travel speed and which thereby disturbs the precise determination of the travel speed of the piston mode. At the lower end, it is often advisable to cut off the mains frequency of the AC electricity network and frequencies that are lower than its first upper harmonic.
  • the division of the remaining frequencies between the sound sequences trans mitted downstream and those transmitted upstream can be carried out in different ways.
  • the simplest way is to choose the even frequencies for one sequence and the odd frequencies for the other. This choice has the result that each sequence consists of two half-periods, of which the half-periods of the even frequencies are identical with each other, as is illustrated by the upper graph in Fig. 2, and the half-periods of the odd frequencies are also identical with each other when the signs of one of them are changed, as is illustrated by the lower graph in Fig. 2.
  • the sounds that proceed downstream and upstream can be separated from each other simply by adding together an even number of half-periods, in one case as such, and in the other case by first changing the sigh of every second half-period.
  • a second alternative is to allot the available frequencies irregularly but evenly among the downstream and the upstream sequences.
  • the travel times of the measurement sound over the measurement distance L downstream and upstream can be determined in a number of different ways even from the same measurement data.
  • the basic alternatives are to form a filtered correlation function of the signals of the microphones 3a and 3b as a function of the time difference or to examine the phase difference of successive frequency components of the signals concerned as a function of frequency.
  • Rapid Fourier transforms of the digital signal processors with FFT-algorithms permit processing of a signal in a time and frequency space, if necessary, by means of fully the same apparatuses while interfering with the real-time program only.
  • the determination of the travel time of the measurement sound from correlation functions takes place as follows. The situation is most ideal for determination of the middle point of a correlation peak when there is only one peak in the whole correlation function, i.e. the amplitudes of other possible peaks are so little that the distortion caused by them in the area of the main peak remains below the permitted level.
  • the origin of interfering peaks may be in background noise that proceeds in the wrong direction, from which noise frequency components chosen for the main peak have been left over by the correlation filter, or connections and joints of the detector, which produce interfering echo peaks. If the interfering peaks cannot be attenuated to a sufficiently low level, attempts must be made to bring their location and range of effect outside the range of variation of the main peak.
  • the location of the echoes can be affected by means of the locations of the connections of the detectors 3a and 3b, and the range of effect can be affected thereby that the frequency-dependence of the amplitudes of the frequency components is made even, while avoiding abrupt points of discontinuity.
  • three different correlation functions can be formed:
  • F d and F u denote filter operators, which pick up the downstream portion only or the upstream portion only from the detector signals
  • Aver m means averaging over m periods
  • n means averaging of correlation functions by integration over n periods.
  • the first correlation function is the simplest one and substantially includes two peaks, one of them with a positive time-delay value and the other one with a negative time-delay value, corresponding to travel of sound downstream and upstream. This one is also most sensitive to disturbance.
  • Each of the following, filtered correlation functions includes substantially one peak only, one representing the travel of sound downstream only, and the other one upstream only.
  • FIG. 3 shows, in the upper half, a correlation peak consisting of even frequencies and imagined as measured downstream, and, in the lower half, a correlation peak consisting of odd frequencies and imagined as measured upstream.
  • the small side peaks are produced by negative reflections from the loudspeaker branches.
  • the signal of each microphone 3a and 3b can be correlated separately with a reference sequence R d (t,T) and R u (t,T) of invariable phase and of the desired distribution of amplitude, which sequences have been derived from corresponding transmission sequences S d (t,T) and S u (t,T) or from microphone sequences measured in a zero flow situation, the following correlation functions being produced:
  • the sound travel time over the measurement distance L downstream is determined as the time difference between the middle points of the peaks of the correlation functions C Ld ( ⁇ ,T) and C Rd ( ⁇ ,T), and upstream as the time difference between the middle points of the peaks of the correlation functions C Lu ( ⁇ ,T) and C Ru ( ⁇ ,T).
  • FTR-filters finite impulse response
  • the downstream reference sequence being chosen as the coefficient vector for one of them, and the upstream reference sequence for the other one, respectively, or it is possible to carry out the operation in a frequency space as the following multiplications of Fourier-transformed vectors carried out component by component:
  • Determination of the travel time as dependence on the phase angle takes place as follows. If the correlation function includes substantially one peak only, the phase angle of its Fourier transform is increased or decreased in a linear way as a function of the frequency, the angle coefficient being proportional to the shift of the peak away from the origin, for the shifting of time by means of the shift ⁇ is carried out in a time space by multiplication by the phase factor exp(2 ⁇ i* ⁇ 1* ⁇ ). An estimate for the travel time of the measurement sound over the measurement distance L is now obtained by forming the average of the phase-angle differences calculated over successive frequency steps of equal parity over the distance l 1 ...l 2 :
  • the Fourier transforms of the signals of the microphones 3a and 3b have always been used as the frequency vectors.
  • the vector derived from the signal of one of the detectors 3a,3b by the Fourier transform of the reference sequences R d (t,T) and R u (t,T), in which case the following four time shifts ⁇ Ld , ⁇ Rd , ⁇ Lu , and ⁇ Ru are obtained.
  • the travel times downstream are obtained as the difference between the first two, and the travel time upstream as the difference between the latter two.
  • the correlation function also includes other peaks, modulation occurs both in the phase-difference distribution and in the cumulative function.
  • the risk of coining above or below these limits is reduced if the average value of the phase-angle difference remains near zero.
  • it is advisable to compare the factual travel time for example, with the travel time in a zero flow situation in the reference pipe 1, in which case the travel-time difference produced by the flow velocity v is alone seen as a minor deviation from zero in the average of the distribution of the phase-angle difference.
  • Fig. 5 shows the phase difference graphs both for even frequencies and for odd frequencies in a case in which the modulation arises from reflected echoes alone.
  • Fig. 6 shows the corresponding cumulative distributions.
  • phase-angle method In order that the phase-angle method were usable, it is required that the correlation function has a clearly distinguishable main peak and that, with every individual frequency, the phase angle of its Fourier transform comes reasonably close to the value that corresponds to the travel time of said peak.

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Abstract

Method and device of acoustic flow measurement for determination of the flow velocities of gases and/or of quantities that can be derived from same. In the measurement pipe (1), at a certain distance (L) from one another in the longitudinal direction of the pipe, two microphones (3a, 3b) have been installed, as well as two loudspeakers (2a, 2b) outside said microphones, which loudspeakers feed sound as wide-band, stationary sequences, Sd(t, T) dowstream and Su(t, T) upstream, to the measurement distance (L) defined by the microphones (3a, 3b). The frequency range of the sequences Sd(t, T) and Su(t, T) has been chosen so that only a base mode that proceeds as a plane-wave front can proceed without attenuation. Moreover, the sequences Sd(t, T) and Su(t, T) have been chosen so that they are orthogonal in relation to one another, i.e. they have no common frequency components different from zero. The detector signals detected by means of the microphones (3a, 3b) are processed by means of a substantially real-time signal-processing system, which produces different correlation functions or Fourier transforms of same. From these the system further, by applying various alternative algorithms, determines the travel times of said sound over the measurement distance (L) downstream and upstream, and from these travel times, and from the density determined by it for the gas, the flow velocity, the volumetric flow, and/or the mass flow.

Description

Method and device for determination of the velocity
of a gas flowing in a pipe
The invention concerns a method for measurement of the flow velocity, the volumetric flow, and/or of the mass flow of a gas that flows in a pipe, in which method sound detectors are fitted in the flow pipe at a certain distance from one another in the longitudinal direction of the measurement pipe, and in which method a long-wave sound that proceeds in the flow pipe downstream and upstream exclusively in the base mode as a plane-wave front is fed into the flow pipe by means of sound sources from outside the measurement distance defined by said detectors, and the flow quantities are determined from the travel times of said sound downstream and upstream over the measurement distance, from the cross-sectional area of the pipe, and from the density of the gas to be measured.
Further, the invention concerns a device for measurement of the gas flow velocity and/or of quantities derived from same, such as volumetric flow and/or mass flow, which device comprises a measurement pipe, in which the flow to be measured runs, and which device comprises loudspeakers as the transmitters of the wide-band, low-frequency sound signals that proceed exclusively as a plane-wave front in the base mode and power amplifiers for said loudspeakers, and microphones as the sound detectors and amplifiers for the microphone signals, and which device is provided with calculator devices and programs so as to calculate said flow quantity or quantities from the distance between the sound detectors in the longitudinal direction of the flow pipe, from the cross-sectional area of the measurement pipe, from the density of the flowing gas, and from the travel times of the sound signals downstream and upstream over the distance between the sound detectors. It is well known that the speed of progress of an acoustic piston mode in a pipe does not depend on the flow profile or on other profiles that produce local variations in the sound speed, but on the average flow velocity integrated across the cross-section of the pipe and on the sound speed prevailing in the gas composition that fills the pipe at rest [B. Robertson, "Effect of Arbitrary Temperature and Flow Profiles on the Speed of Sound in a Pipe", J. Acoust. Soc. Am., Vol 62, No. 4, p. 813...818, October 1977, and B. Robertson, "Flow and Temperature Profile Independence of Flow Measurements Using Long Acoustic Waves", Transactions of the ASME, Vol. 106, p. 18...20, March 1984]. Thus, precise measurement of flow velocity independent from the profile can be carried out so that the travel times of the piston mode downstream and upstream are measured over a certain measurement distance, preferably by using a wide-band sound, as is described in the applicant's FI Patent No. 76,885. In order that the higher wave modes which disturb the measurements should already be attenuated at the near vicinity of the sound sources, the sound frequency must be sufficiently below a certain limit frequency, which depends on the shape and dimensions of the flow pipe and on the travel speed of the sound. For a pipe of circular section, this limit frequency is Limit frequency fc = (c - vmaχ)/(1.7*D) (1) wherein c is the travel speed of sound in the gas at rest, vmaχ is the highest dimensioned flow velocity, and D is the diameter of the pipe. As is well known, the flow quantities can be calculated from the following formulae:
How velocity [m/s] v = 0.5*L* (t1 -1 - t2 -1) (2)
Volumetric flow [cu.m/s] Q = v*A (3) Mass flow [kg/s] M = Q*p (4) wherein v = average flow velocity
L = distance between sound detectors in longitudinal direction of pipe t1 = travel time of sound downstream over the distance L
t2 = travel time of sound upstream over the distance L
Q = volumetric flow
A = cross-sectional area of the pipe
M = mass flow
ρ = density of gas The above FI patent describes the measurement of the travel times by means of the correlation technique, and in said FI patent the choice of the wide-band transmission or of the correlator type has not been restricted in any way. In sub-claims, the use of a polarity correlator is suggested, which can be accomplished as fully parallel. In practice, it has been noticed that, in order that the required signal-to-noise ratio could be reached by means of the polarity correlation technique in the measurement conditions, which are usually noisy, it is required that the sound transmissions downstream and upstream are transmitted alternatingly and that the microphone signals are filtered so that they pick up exclusively the sound that is being transmitted at each particular time and eliminate any interfering sound. A sound that is transmitted in the form of frequency scanning and a filter connected to follow said sound, in principle, also permit that sound is transmitted in both directions at the same time, but with a different momentary frequency, in which case the downstream signals and the upstream signals of the two sound detectors can be separated by means of a total of four scannable filters, as is described in the FI Pat. Appl. No. 916102.
It can be considered that it is a drawback of the prior art discussed above that frequency scanning is, in principle, non-stationary, in which case the necessary filters are also time-dependent. This results in dispersion, i.e. the time delay of the filters is dependent on the frequency, which further readily results in an error in the determination of the travel time if the scanning is not chosen correctly, if the scanning is chosen too rapid, or if the beginning and the end of the scanning are not cut off from the measurement. These drawbacks can be avoided if, in stead of frequency scanning, wide-band transmissions are employed in which all frequencies sound constantly with an invariable amplitude. At the same time, this means that sound is transmitted in both directions simultaneously. For example, the present DSP-technique permits even a versatile processing of signals of audio frequency in real time and provides a number of possibilities for determination of the travel-time information in a noisy environment.
In view of elimination of the drawbacks mentioned above and in view of achieving the objectives that will come out later, the method of the invention is mainly characterized in that said sound is transmitted into the measurement pipe as stationary, periodic sequences that proceed over the measurement distance simultaneously in both directions, downstream the sequence Sd(t,T) and upstream the sequence Su(t,T), wherein T is the length of the period and t is the relative time measured from the beginning of each period, and that said sequences Sd(t,T),Su(t,T) are orthogonal in relation to one another, i.e. they have no common frequency components different from zero.
On the other hand, the device in accordance with the invention is mainly characterized in that the sound transmitted through said loudspeakers is composed of wide-band sequences of equal periods, which are transmitted during the period T simultaneously downstream and upstream, the downstream sequence Sd(t,T) and the upstream sequence Su(t,T), which sequences Sd(t,T),Su(t,T) are arranged as orthogonal in relation to one another, i.e. they include no common frequency components different from zero.
In the following, the theoretical background of the invention and some exemplifying embodiments of the invention will be described in detail with reference to the figures in the accompanying drawing, wherein
Figure 1 is a general block-diagram illustration of an acoustic system of measurement in accordance with the invention, Figure 2 illustrates sound sequences transmitted downstream and upstream, in Figure 3, the upper curve represents a correlation peak consisting of even frequencies and imagined as measured downstream, and the lower curve represents a correlation peak consisting of odd frequencies and imagined as measured upstream,
Figure 4 illustrates, in a way corresponding to Fig. 3, an application in which, in stead of a second sequence to be correlated, a Hubert transform of same has been chosen,
Figure 5 shows graphs of a phase difference obtained with even and odd frequencies in an application in which the modulation arises from reflection echoes alone, and
Figure 6 shows the cumulative distributions corresponding to Fig. 5.
Fig. 1 is a general block-diagram illustration of a system by whose means the invention can be carried into effect advantageously. The flow to be measured, e.g. a natural-gas flow, flows at a velocity v in the flow pipe 1, in which the sound sources 2a and 2b, preferably loudspeakers, are fitted, by whose means the, sound sequences are produced in the flow pipe 1. Between the sound sources 2a and
2b, sound detectors 3a and 3b are fitted, the scaling factor of the flow meter being determined by the length L and by the cross-sectional area A of the pipe portion between said sound detectors. In Fig. 1, 4a and 4b are power amplifiers,
5a and 5b are signal amplifiers, 6 is a real-time processor, preferably a digital signal processor provided with necessary analog inputs and outputs, by means of which processor 6 it is possible to carry out the procedures based on FFT-algorithms or on FIR-filter algorithms, 7 is a system processor, through which the communication between the real-time processor 6, the display device 8 and a separate PC work station 9 is accomplished. In the determination of the travel time of a stationary, wide-band sound for purposes of flow measurement, it is essential that the sounds that are transmitted simultaneously in both directions from the loudspeakers 2a and 2b do not interfere with each other and that the measurement is also as insensitive to the noise in the pipe 1 as possible. Sound sequences, which have been transmitted by the loudspeakers 2a and 2b, which are periodic with respect to a certain measurement period T, but which are in the other respects arbitrary, will be examined. It is well known that such signals consist of discrete, equally spaced frequency components Am*cos(m*2*π *t/T+øm), which are multiples of the fundamental frequency f = 1/T, and which are orthogonal in relation to one another, i.e. the correlation functions calculated across the period disappear when m and n are of unequal magnitudes (Formula 5).
Figure imgf000008_0001
The principal idea of the invention is to transmit, from the loudspeakers 2a and 2b into the measurement pipe 1, downstream and upstream, such wide-band sound sequences Sd(t,T),Su(t,T) of equal periods as do not include any common frequency component and as are, thus, orthogonal, i.e. their correlation function disappears identically:
Figure imgf000008_0002
In such a case, the signals of the microphones 3a and 3b, herein, let DL(t,T) represent the signal of the microphone 3a at the left end of the measurement distance L, and let DR(t,T) represent the signal of the microphone 3b at the right end of the measurement distance L, with the exception of the background noise, can be reduced unequivocally to downstream and upstream components orthogonal in relation to one another:
DL(t,T ) = DLd(t, T ) + DLu(t,T)
DR(t,T ) = DRd(t,T ) + DRu(t,T ) (7)
The principal idea of the present invention permits the solution of a number of problems that deteriorate the signal-to-noise ratio and leads to several different alternative embodiments. In an examination over a long period of time, the proportion of the external pipe noise that occurs in these discrete frequency components is the smaller, the higher the number of the periods is over which the situation is examined. In an averaging made over N periods, the periodic signal increases in proportion to N, whereas the incommensurable noise increases in proportion to the square root of N.
The phase angles of the discrete frequency components can be chosen freely, in principle. In order to avoid the effect of non-linearity of loudspeakers 2a and 2b or of equivalent sound sources and, for example, owing to safety regulations concerning natural-gas pipes, it is advisable to avoid momentary peaks of sound power. This aim is carried into effect readily if said phase angles are chosen at random. The frequency range to be used is limited at the upper end by the so-called cut-off frequency [formula (1)], at which, in addition to the piston mode, the first non-attenuating higher mode occurs, which has a different travel speed and which thereby disturbs the precise determination of the travel speed of the piston mode. At the lower end, it is often advisable to cut off the mains frequency of the AC electricity network and frequencies that are lower than its first upper harmonic.
The division of the remaining frequencies between the sound sequences trans mitted downstream and those transmitted upstream can be carried out in different ways. The simplest way is to choose the even frequencies for one sequence and the odd frequencies for the other. This choice has the result that each sequence consists of two half-periods, of which the half-periods of the even frequencies are identical with each other, as is illustrated by the upper graph in Fig. 2, and the half-periods of the odd frequencies are also identical with each other when the signs of one of them are changed, as is illustrated by the lower graph in Fig. 2. Thus, the sounds that proceed downstream and upstream can be separated from each other simply by adding together an even number of half-periods, in one case as such, and in the other case by first changing the sigh of every second half-period. A second alternative is to allot the available frequencies irregularly but evenly among the downstream and the upstream sequences. The travel times of the measurement sound over the measurement distance L downstream and upstream can be determined in a number of different ways even from the same measurement data. The basic alternatives are to form a filtered correlation function of the signals of the microphones 3a and 3b as a function of the time difference or to examine the phase difference of successive frequency components of the signals concerned as a function of frequency. Rapid Fourier transforms of the digital signal processors with FFT-algorithms permit processing of a signal in a time and frequency space, if necessary, by means of fully the same apparatuses while interfering with the real-time program only. The determination of the travel time of the measurement sound from correlation functions takes place as follows. The situation is most ideal for determination of the middle point of a correlation peak when there is only one peak in the whole correlation function, i.e. the amplitudes of other possible peaks are so little that the distortion caused by them in the area of the main peak remains below the permitted level. The origin of interfering peaks may be in background noise that proceeds in the wrong direction, from which noise frequency components chosen for the main peak have been left over by the correlation filter, or connections and joints of the detector, which produce interfering echo peaks. If the interfering peaks cannot be attenuated to a sufficiently low level, attempts must be made to bring their location and range of effect outside the range of variation of the main peak. The location of the echoes can be affected by means of the locations of the connections of the detectors 3a and 3b, and the range of effect can be affected thereby that the frequency-dependence of the amplitudes of the frequency components is made even, while avoiding abrupt points of discontinuity. For the signals of the microphones 3a and 3b, three different correlation functions can be formed:
Figure imgf000011_0001
wherein Fd and Fu denote filter operators, which pick up the downstream portion only or the upstream portion only from the detector signals, Averm means averaging over m periods, and n means averaging of correlation functions by integration over n periods. The first correlation function is the simplest one and substantially includes two peaks, one of them with a positive time-delay value and the other one with a negative time-delay value, corresponding to travel of sound downstream and upstream. This one is also most sensitive to disturbance. Each of the following, filtered correlation functions includes substantially one peak only, one representing the travel of sound downstream only, and the other one upstream only. Fig. 3 shows, in the upper half, a correlation peak consisting of even frequencies and imagined as measured downstream, and, in the lower half, a correlation peak consisting of odd frequencies and imagined as measured upstream. The small side peaks are produced by negative reflections from the loudspeaker branches.
In stead of the possibility that the signals of both of the microphones, restricted to the frequencies chosen for downstream or upstream, are correlated directly, the signal of each microphone 3a and 3b can be correlated separately with a reference sequence Rd(t,T) and Ru(t,T) of invariable phase and of the desired distribution of amplitude, which sequences have been derived from corresponding transmission sequences Sd(t,T) and Su(t,T) or from microphone sequences measured in a zero flow situation, the following correlation functions being produced:
Figure imgf000012_0001
Figure imgf000012_0002
in which case the sound travel time over the measurement distance L downstream is determined as the time difference between the middle points of the peaks of the correlation functions CLd(θ,T) and CRd(θ,T), and upstream as the time difference between the middle points of the peaks of the correlation functions CLu(θ,T) and CRu(θ,T). For this, it is possible to use either two pairs of FTR-filters (finite impulse response), the downstream reference sequence being chosen as the coefficient vector for one of them, and the upstream reference sequence for the other one, respectively, or it is possible to carry out the operation in a frequency space as the following multiplications of Fourier-transformed vectors carried out component by component:
Figure imgf000013_0001
Figure imgf000013_0002
wherein as a superscript means a complex conjugate, and by reverse-transforming the product vectors into correlation functions of the time space. Also in this case, it is possible to carry out the averaging operations corresponding to those that were carried out in connection with the correlation functions.
In stead of an ordinary correlation function, which produces fully symmetric peaks in an ideal case, in all of the above cases it is alternatively possible, in stead of a second sequence to be correlated, to choose its Hubert transform, in which case the correlation peaks become fully antisymmetric. Their middle point, which is obtained as an intersection with the zero level, is perhaps determined more precisely than the middle points of symmetric peaks. This case is illustrated in Fig. 4, which is, with the exception of symmetry, in the other respects similar to the case shown in Fig. 3.
Determination of the travel time as dependence on the phase angle takes place as follows. If the correlation function includes substantially one peak only, the phase angle of its Fourier transform is increased or decreased in a linear way as a function of the frequency, the angle coefficient being proportional to the shift of the peak away from the origin, for the shifting of time by means of the shift θ is carried out in a time space by multiplication by the phase factor exp(2π i*ω 1*θ). An estimate for the travel time of the measurement sound over the measurement distance L is now obtained by forming the average of the phase-angle differences calculated over successive frequency steps of equal parity over the distance l1...l2:
Figure imgf000014_0001
In the formulae (11), the Fourier transforms of the signals of the microphones 3a and 3b have always been used as the frequency vectors. As was stated above in connection with the correlation functions, also in the formula (11), it is always possible to replace the vector derived from the signal of one of the detectors 3a,3b by the Fourier transform of the reference sequences Rd(t,T) and Ru(t,T), in which case the following four time shifts θLd, θRd, θLu, and θRu are obtained. The travel times downstream are obtained as the difference between the first two, and the travel time upstream as the difference between the latter two. In all of the above cases, out of the successive phase-angle differences, it is alternatively possible to form a cumulative function and to determine the time shifts as an angle coefficient of the regression line of said function.
If the correlation function also includes other peaks, modulation occurs both in the phase-difference distribution and in the cumulative function. One does, however, not fall off from the correct line if the phase-angle difference remains genuinely within the range of -π...+π . The risk of coining above or below these limits is reduced if the average value of the phase-angle difference remains near zero. For this reason, it is advisable to compare the factual travel time, for example, with the travel time in a zero flow situation in the reference pipe 1, in which case the travel-time difference produced by the flow velocity v is alone seen as a minor deviation from zero in the average of the distribution of the phase-angle difference. Fig. 5 shows the phase difference graphs both for even frequencies and for odd frequencies in a case in which the modulation arises from reflected echoes alone. Fig. 6 shows the corresponding cumulative distributions.
In order that the phase-angle method were usable, it is required that the correlation function has a clearly distinguishable main peak and that, with every individual frequency, the phase angle of its Fourier transform comes reasonably close to the value that corresponds to the travel time of said peak.
In the following, the patent claims will be given, and the various details of the invention may show variation within the scope of the inventive idea defined in said claims and differ from the details given above by way of example only.

Claims

Claims
1. Method for measurement of the flow velocity, the volumetric flow, and/or of the mass flow of a gas that flows in a pipe, in which method sound detectors (3a,3b) are fitted in the flow pipe (1) at a certain distance from one another in the longitudinal direction of the measurement pipe (1), and in which method a long-wave sound that proceeds in the flow pipe (1) downstream and upstream exclusively in the base mode as a plane-wave front is fed into the flow pipe by means of sound sources (2a,2b) from outside the measurement distance (L) defined by said detectors (3a,3b), and the flow quantities are determined from the travel times of said sound downstream and upstream over the measurement distance (L), from the cross-sectional area (A) of the pipe, and from the density (ρ ) of the gas to be measured, c h a r a c t e r i z e d in that said sound is transmitted into the measurement pipe (1) as stationary, periodic sequences that proceed over the measurement distance (L) simultaneously in both directions, downstream the sequence Sd(t,T) and upstream the sequence Su(t,T), wherein T is the length of the period and t is the relative time measured from the beginning of each period, and that said sequences Sd(t,T) and Su(t,T) are orthogonal in relation to one another, i.e. they have no common frequency components different from zero.
2. Method as claimed in claim 1, c h a r a c t e r i z e d in that the sound sequences Sd(t,T) and Su(t,T) orthogonal in relation to one another are formed so that, in relation to the fundamental frequency corresponding to their repeated sequence, the sequence Sd(t,T)/Su(t,T) that is transmitted in one direction contains even frequency components only, whereas the sequence Su(t,T)/Sd(t,T) that is transmitted in the opposite direction contains odd frequency components only.
3. Method as claimed in claim 1 or 2, c h a r a c t e r i z e d in that the travel time of said sound over the measurement distance (L) downstream and upstream is determined in a time space as the values of shift from the origin of the middle points of the peaks contained in the correlation functions formed from the signal DL(t,T) of the left detector and from the signal DR(t,T) of the right detector, or as the difference of two such shift values, by forming one correlation function from the signal of each detector (3a,3b) as such, by first averaging them by adding them together over several (m) periods T, or by even also averaging the correlation functions by integration over several (n) periods, and by determining the travel times as the time shifts from the origin of the two main peaks in the correlation function
Figure imgf000017_0001
thereby obtained.
4. Method as claimed in claim 1 or 2, c h a r a c t e r i z e d in that the travel time of said sound over the measurement distance (L) downstream and upstream is determined in a time space as the values of shift from the origin of the middle points of the peaks contained in the correlation functions formed from the signal DL(t,T) of the left detector and from the signal DR(t,T) of the right detector, or as the difference of two such shift values, by, from the signal of each detector (3a,3b), either as such, by first averaging them by adding them together over several (m) periods, or by even also integrating the correlation functions over several (n) periods, forming two different correlation functions, one Cd(θ) as filtered by means of a downstream filter Fd and the other one Cu(θ) as filtered by means of an upstream filter Fu, and by determining the travel times as the time shifts from the origin of the only main peaks of the two correlation functions
Figure imgf000018_0001
thereby obtained.
5. Method as claimed in claim 1 or 2, c h a r a c t e r i z e d in that the travel time of said sound over the measurement distance (L) downstream and upstream is determined by, in a time space, from the signal DL(t,T) of the left detector and from the signal DR(t,T) of the right detector, always from one detector signal as such or by averaging over several (m) periods, as well as from either one of the reference sequences, Rd(t,T) or Ru(t,T), of fixed phase, which have been read from the memory and which have been derived from corresponding transmission sequences or from detector sequences measured with a zero flow, possibly by further integrating them over several periods, forming a total of four correlation functions CLd(t), CRd(t), CLu(t), and CRu(t)
Figure imgf000018_0002
and by determining the travel time downstream as the time difference between the middle points of the main peaks of the correlation functions CLd(θ) and CRd(θ), and the travel time upstream, in a corresponding way, as the time difference between the middle points of the main peaks of the correlation functions CLu(t) and CRu(t).
6. Method as claimed in any of the claims 1 to 5, characterized in that, in stead of correlation functions that contain substantially symmetric peaks,
Hubert transforms of such functions are used as the correlation functions, and the middle points of the substantially antisymmetric correlation functions thereby obtained are preferably determined as the values of time at which the function that is changed most steeply intersects the zero level.
7. Method as claimed in claim 1 or 2, characterized in that the travel times of sound downstream and upstream are determined in a space of time so that first the Fourier transforms of the sound detector sequences are formed as complex frequency vectors DLd1) DLu1), DRd1), and DRu1) and DRu1), and the sound travel time downstream Θd and the travel time upstream θu are determined substantially from the formulae
Figure imgf000019_0001
of which formulae, in the upper one, the index 1 calls the even frequency values only, and in the lower formula the odd frequency values only.
8. Method as claimed in claim 1 or 2, characterized in that the travel times of sound downstream and upstream are determined in a space of time so that first the Fourier transforms of the sound detector sequences are formed as complex frequency vectors DLd1) DLu1), DRd1), and DRu1), and the Fourier transforms of the reference sequences of fixed phase derived from transmission sequences or from sound detector sequences measured in a zero flow situation are formed as complex frequency vectors Rd1) and Ru1), and the sound travel time downstream θd and the travel time upstream θu are determined as the differences θd = θRd - θLd θu = θLu - θRu wherein θLd, θRd, θLu and θRu are determined substantially from the formulae
Figure imgf000020_0001
of which formulae, in the two upper ones, the index 1 calls the even frequency values only, and in the two lower ones the odd frequency values only.
9. Device for measurement of the gas flow velocity and/ or of quantities derived from same, such as volumetric flow and/or mass flow, which device comprises a measurement pipe (1), in which the flow to be measured runs, and which device comprises loudspeakers (2a,2b) as the transmitters of the wide-band, low-frequency sound signals that proceed exclusively as a plane-wave front in the base mode and power amplifiers (4a,4b) for said loudspeakers, and microphones (3a,3b) as the sound detectors and amplifiers (5a,5b) for the microphone signals, and which device is provided with calculator devices and programs so as to calculate said flow quantity or quantities from the distance (L) between the sound detectors (3a,3b) in the longitudinal direction of the flow pipe (1), from the cross-sectional area (A) of the measurement pipe, from the density (p ) of the flowing gas, and from the travel times of the sound signals downstream (t1) and upstream (t2) over the distance (L) between the sound detectors (3a,3b), characterized in that the sound transmitted through said loudspeakers (2a,2b) is composed of wide-band sequences of equal periods, which are transmitted during the period T simultaneously downstream and upstream, the downstream sequence Sd(t,T) and the upstream sequence Su(t,T), which sequences Sd(t,T) and Su(t,T) are arranged as orthogonal in relation to one another, i.e. they include no common frequency components different from zero.
10. Device as claimed in claim 9, characterized in that the sound transmitted in one direction includes even frequency components only, and the sound transmitted in the opposite direction includes odd frequency components only.
11. Device as claimed in claim 9 or 10, characterized in that the device comprises a real-time signal processor (6), by whose means the sound- source input sequences to be transmitted are produced and the responses produced by the sound detectors (3a,3b) are processed.
12. Device as claimed in claim 11, characterized in that the device additionally comprises a system processor (7), which takes care of the communication between said real-time signal processor (6), a digital display device (8), if any, and an external computer (9) used as an operation connection.
PCT/FI1992/000278 1992-04-01 1992-10-16 Method and device for determination of the velocity of a gas flowing in a pipe WO1993020411A1 (en)

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US5770806A (en) * 1994-04-19 1998-06-23 Valtion Teknillinen Tutkimuskeskus Acoustic flow measurement method and measurement apparatus implementing the method
WO1995028619A1 (en) * 1994-04-19 1995-10-26 Valtion Teknillinen Tutkimuskeskus Acoustic flow measurement method and measurement apparatus implementing the method
EP0711986A2 (en) * 1994-11-09 1996-05-15 AT&T Corp. Underground conduit defect localization
EP0711986A3 (en) * 1994-11-09 1998-09-09 AT&T Corp. Underground conduit defect localization
EP0949485A2 (en) * 1998-04-07 1999-10-13 Nico Roosnek Method and apparatus for measuring physical parameters
EP0949485A3 (en) * 1998-04-07 2002-09-11 Nico Roosnek Method and apparatus for measuring physical parameters
WO2002023136A1 (en) * 2000-09-18 2002-03-21 ABB Fläkt AB A device and a method for measuring the flow in a fluid
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WO2006134221A2 (en) * 2005-06-16 2006-12-21 Justiflow Oy Ultrasound flowmeter arrangement for determining speed of sound
WO2006134199A1 (en) * 2005-06-16 2006-12-21 Justiflow Oy Ultrasound flowmeter arrangement for determining speed of sound
WO2006134221A3 (en) * 2005-06-16 2007-04-19 Justiflow Oy Ultrasound flowmeter arrangement for determining speed of sound
GB2476709A (en) * 2009-12-09 2011-07-06 Atmos Wave Ltd Monitoring fluid flow in a conduit
US9243971B2 (en) 2009-12-09 2016-01-26 Atmos Wave Limited Monitoring fluid flow in a conduit
US8498828B2 (en) 2010-03-03 2013-07-30 Azbil Corporation Calculating device and flow meter equipped with calculating device
WO2012094161A1 (en) * 2011-01-03 2012-07-12 Alcatel Lucent Airspeed and velocity of air measurement
CN102830245A (en) * 2012-08-15 2012-12-19 华北电力大学 Monitoring system and monitoring method for boiler furnace flue gas velocity based on acoustics
CN112639412A (en) * 2019-03-14 2021-04-09 欧姆龙株式会社 Flow rate measuring device
CN116929476A (en) * 2023-06-29 2023-10-24 华能(广东)能源开发有限公司汕头电厂 Soot blowing air inflow detection method and system

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