Abstrict A signal processor, for use with a zero crossing module of a vortex
flow meter, includes a peak amplitude detector, a comparator, and
a filter module. The filter module is enabled when the comparator
determines that the amplitude is less than a low flow rate threshold.
The filter module filters a vortex signal and the filtered signal
is provided to a frequency estimator that uses a zero crossing algorithm.
The signal processor may increase the signal-to-noise ratio at low
flow rates for which the frequency estimator may not otherwise be
able to accurately estimate the flow rate. Low flow rates may be
measured by determining that there is a low flow rate using amplitude
detection of a vortex signal, filtering the vortex signal based
on the amplitude detection, and using a zero crossing algorithm
on the filtered vortex signal.
Claims What is claimed is:
1. A signal processor for use with a zero crossing module of a
vortex flow meter, the signal processor comprising: a peak detector
operable to produce an amplitude estimate; a comparator coupled
to the peak detector and operable to receive the amplitude estimate
and a threshold amplitude, wherein the comparator is operable to
compare the amplitude estimate and the threshold amplitude and to
produce a comparison result; and a filter module coupled to the
comparator and operable to receive the comparison result and a signal,
wherein the filter module is operable to selectively filter the
signal based on the comparison result and to provide the selectively-filtered
signal to a zero crossing module.
2. The signal processor of claim 1 further comprising a peak filter
disposed between the peak detector and the comparator, the peak
filter being operable to filter the amplitude estimate produced
by the peak detector and to produce a filtered amplitude estimate.
3. The signal processor of claim 1 wherein: the comparator is operable
to produce a comparison result indicative of whether the amplitude
estimate is less than the threshold amplitude, and the filter module
is operable to filter the signal using a first pass band if the
comparison result indicates that the amplitude estimate is less
than the threshold amplitude.
4. The signal processor of claim 3 wherein the filter module is
further operable to filter the signal using a second pass band if
the first pass band is not used.
5. The signal processor of claim 3 wherein the filter module is
further operable to filter the signal using a second pass band regardless
of whether the signal is filtered using the first pass band.
6. The signal processor of claim 5 wherein the second pass band
comprises a variable pass band that depends on an estimated vortex
frequency of the signal.
7. The signal processor of claim 5 wherein: the filter module comprises
a first filter and a second filter, the first filter being coupled
to the second filter, the first filter is operable to selectively
filter the signal using the first pass band, and the second filter
is operable to selectively filter the signal using the second pass
band.
8. A vortex flow meter comprising: a peak detector operable to
produce an amplitude estimate; a comparator coupled to the peak
detector and operable to receive the amplitude estimate and a threshold
peak, the comparator being further operable to compare the amplitude
estimate and the threshold amplitude and to produce a comparison
result; a filter module coupled to the comparator, the filter module
comprising at least one filter and being operable to receive the
comparison result and a signal, to selectively filter the signal
based on the comparison result, and to provide as an output the
selectively-filtered signal; and a frequency estimation module coupled
to the filter module, comprising a zero crossing detector and a
frequency estimator, the frequency estimation module being operable
to receive the selectively-filtered signal, to detect zero crossings
in the selectively-filtered signal, and to estimate a vortex frequency
of the selectively-filtered signal based on the detected zero crossings.
9. The vortex flow meter of claim 8 further comprising a peak filter
disposed between the peak detector and the comparator, the peak
filter being operable to filter the amplitude estimates produced
by the peak detector and to produce a filtered amplitude estimate.
10. The vortex flow meter of claim 8 wherein: the comparator is
operable to produce a comparison result indicative of whether the
amplitude estimate is less than the threshold amplitude, and the
filter module is operable to filter the signal using a first pass
band if the comparison result indicates that the amplitude estimate
is less than the threshold amplitude.
11. The signal processor of claim 10 wherein the filter module
is further operable to filter the signal using a second pass band
if the first pass band is not used.
12. The signal processor of claim 10 wherein the filter module
is further operable to filter the signal using a second pass band
regardless of whether the signal is filtered using the first pass
band.
13. A method of processing a vortex signal in a vortex flow meter,
the method comprising: comparing an amplitude of a vortex signal
to a threshold amplitude; producing an indication of whether the
amplitude of the vortex signal is less than the threshold amplitude;
filtering the vortex signal using a first pass band only if the
amplitude of the vortex signal is less than the threshold amplitude;
filtering the vortex signal using a second pass band if the first
pass band is not used; detecting zero crossings of the filtered
vortex signal; and estimating a vortex frequency based on the detected
zero crossings.
14. The method of claim 13 wherein the threshold amplitude reflects
a low flow rate, such that the vortex signal is filtered using the
first pass band only if the flow rate is low.
15. The method of claim 14 wherein the first pass band does not
vary with the amplitude of the vortex signal.
16. The method of claim 13 wherein the threshold amplitude is adjusted
by a hysteresis value.
17. The method of claim 13 wherein detecting the amplitude of the
vortex signal comprises: detecting peaks of the vortex signal; and
filtering the detected peaks to reduce high-frequency components.
18. The method of claim 13 wherein the amplitude of the vortex
signal comprises a detected amplitude.
19. A method of determining a flow rate of a fluid, the method
comprising: determining that a flow has a low flow rate by detecting
an amplitude of a vortex signal; filtering the vortex signal to
reduce a high-frequency component, based on the determination that
the flow has a low flow rate; and determining a flow rate of the
flow using a zero-crossing algorithm on the filtered vortex signal.
20. The method of claim 19 wherein detecting an amplitude comprises:
detecting peaks in the amplitude of the vortex signal; and filtering
the detected peaks in the amplitude of the vortex signal to remove
a high-frequency component.
Description CROSS-REFERENCE TO RELATED APPLICATIONS
[0001] This application claims priority from U.S. Provisional Application
No. 60/300421 filed Jun. 26 2001 and titled "Filtering
and Analysis System for Evaluating a Vortex Flow meter System,"
which is incorporated by reference.
TECHNICAL FIELD
[0002] Certain implementations relate generally to evaluating a
signal, including analyzing and filtering a signal, and more particularly
to analyzing and filtering a vortex flow meter signal.
BACKGROUND
[0003] Flow meters may measure the rate of flow of a fluid in a
pipe or other pathway. The fluid may be, for example, a gas or a
liquid, and may be compressible or incompressible. One type of flow
meter is a vortex flow meter which is based on the principle of
vortex shedding. Vortex shedding refers to a natural process in
which a fluid passing a bluff body causes a boundary layer of slowly
moving fluid to be formed along the surface of the bluff body. A
low pressure area is created behind the bluff body and causes the
boundary layer to roll up, which generates vortices in succession
on opposite sides of the bluff body. The vortices induce pressure
variations that may be sensed by a pressure sensor. The vortex-shedding
pressure variations have a frequency that is related to the flow
rate. Accordingly, by measuring the frequency of the pressure variations,
the flow rate may be determined.
SUMMARY
[0004] One technique for measuring the frequency of vortex-shedding
pressure variations includes converting the pressure values into
an electric signal and determining the time between zero crossings
of the electric signal. The term "vortex signal" is used
to refer to the electric signal or, more generally, and depending
on the context, to refer to the pressure variations or some other
signal derived from the pressure variations. Inverting the time
between zero crossings yields the frequency of the vortex signal.
However, zero crossings of the vortex signal may be difficult to
determine, particularly for low flow rates that may produce pressure
variations of a lower magnitude than pressure variations produced
for high flow rates. Determining zero crossings may also be difficult
in the presence of noise. Noise may be present from, for example,
turbulence and "plant noise" such as, for example, pump
vibrations and pipe-line vibrations. A lower magnitude for the vortex
signal and/or the presence of noise may result in a lower signal-to-noise
ratio ("SNR") for the vortex signal at low flow rates.
Low SNRs may make it difficult to lock on to the vortex signal and/or
to track the vortex signal using a zero crossing technique.
[0005] Low flow rates, and the associated low SNRs, may occur,
for example, in at least three scenarios. The first scenario may
occur when a flow meter has not acquired a lock on the vortex signal
because the flow rate is low. For example, at start-up, a flow meter
may not know the frequency of the vortex signal and, accordingly,
may not filter out any noise due to the possibility that the vortex
signal could also be filtered out. The second scenario may occur
when a flow meter has acquired a lock on the vortex signal and is
able to filter out noise that is not too close to the vortex signal
frequency, but still cannot track the vortex signal to a lower flow
rate because of the low SNR. The third scenario may occur when a
flow meter has acquired a lock and is tracking the vortex signal
at a low flow rate, but intermittent noise causes the flow meter
to lose the lock and/or to track the noise.
[0006] Each of these scenarios, and others, can be addressed by
providing the flow meter with additional functionality that determines
that a flow rate is low and filters some of the noise out of the
vortex signal. The flow rate may be determined to be low, for example,
by determining that the amplitude of the vortex signal is low. The
flow rate can be determined from the amplitude because the flow
rate is directly related to the amplitude. The filtering may be
done using, for example, a band-pass filter ("BPF") having
one or more pass bands. Filtering the vortex signal to remove noise
may increase the SNR of the vortex signal and focus the flow meter
on a smaller range of (low) flow values, which may help the flow
meter to lock on and/or track the vortex signal.
[0007] Using amplitude detection to determine that the flow rate
is low may also be more robust to noise than determining zero crossings
at low flow rates. Thus, the amplitude detection may be expected
to determine that the flow rate is low even when the zero crossing
detection cannot. The amplitude detection may also include filtering.
For example, an amplitude detector may detect peaks in the vortex
signal and these peaks may be filtered to reduce the effect of noise
on the peak measurements. In this way, the determination that the
flow rate is low may be less likely to be changed inadvertently
and to interrupt the corresponding filtering.
[0008] According to a general aspect, a signal processor for use
with a zero crossing module of a vortex flow meter includes a peak
detector, a comparator, and a filter module. The peak detector produces
an amplitude estimate. The comparator is coupled to the peak detector
and receives the amplitude estimate and a threshold amplitude. The
comparator compares the amplitude estimate and the threshold amplitude
to produce a comparison result. The filter module is coupled to
the comparator and receives the comparison result and a signal.
The filter module is operable to selectively filter the signal based
on the comparison result and to provide the selectively filtered
signal to a zero crossing module.
[0009] A peak filter may be disposed between the peak detector
and the comparator. The peak filter may filter the amplitude estimates
produced by the peak detector to produce a filtered amplitude estimate.
The comparison result may indicate whether the amplitude estimate
is less than the threshold amplitude, and the filter module may
filter the signal using a first pass band if the comparison result
indicates that the amplitude estimate is less than the threshold
amplitude. The filter module may filter the signal using a second
pass band if the first pass band is not used, or regardless of whether
the first pass band is used. The second pass band may include a
variable pass band that depends on an estimated vortex frequency
of the signal. The filter module may include a first filter and
a second filter. The first filter may be coupled to the second filter,
and may selectively filter the signal using the first pass band.
The second filter may selectively filter the signal using the second
pass band.
[0010] According to another general aspect, a vortex flow meter
includes a peak detector, a comparator, a filter module, and a frequency
estimation module. The peak detector is operable to produce an amplitude
estimate. The comparator is coupled to the peak detector, and receives
and compares the amplitude estimate and a threshold amplitude to
produce a comparison result. The filter module is coupled to the
comparator and includes at least one filter. The filter module receives
the comparison result and a signal, selectively filters the signal
based on the comparison result, and provides the selectively filtered
signal as an output. The frequency estimation module is coupled
to the filter module and includes a zero-crossing detector and a
frequency estimator. The frequency estimation module receives the
selectively-filtered signal, detects zero crossings in the selectively-filtered
signal, and estimates a vortex frequency of the selectively-filtered
signal based on the detected zero crossings.
[0011] A peak filter may be disposed between the peak detector
and the comparator. The peak filter may filter the amplitude estimates
produced by the peak detector to produce a filtered amplitude estimate.
The comparison result may indicate whether the amplitude estimate
is less than the threshold amplitude, and the filter module may
filter the signal using a first pass band if the comparison result
indicates that the amplitude estimate is less than the threshold
amplitude. The filter module may filter the signal using a second
pass band if the first pass band is not used, or regardless of whether
the first pass band is used.
[0012] According to another general aspect, processing a vortex
signal in a vortex flow meter includes comparing an amplitude of
a vortex signal to a threshold amplitude, producing an indication
of whether the amplitude of the vortex signal is less than the threshold
amplitude, filtering the vortex signal using a first pass band only
if the amplitude of the vortex signal is less than the threshold
amplitude, filtering the vortex signal using a second pass band
if the first pass band is not used, detecting zero crossings of
the filtered vortex signal, and estimating a vortex frequency based
on the detected zero crossings.
[0013] The threshold amplitude may reflect a low flow rate, such
that the vortex signal is filtered using the first pass band only
if the flow rate is low. The first pass band need not vary with
the amplitude of the vortex signal. The threshold amplitude may
be adjusted by a hysteresis value. Detecting the amplitude of the
vortex signal may include detecting peaks of the vortex signal and
filtering the detected peaks to reduce high-frequency components.
The amplitude of the vortex signal may include a detected amplitude.
[0014] According to another general aspect, determining a flow
rate of a fluid includes determining that a flow has a low flow
rate by detecting an amplitude of a vortex signal; filtering the
vortex signal to reduce a high frequency component based on the
determination that the flow has a low flow rate; and determining
a flow rate of the flow using a zero crossing algorithm on the filtered
vortex signal.
[0015] Detecting an amplitude may include detecting peaks in the
amplitude of the vortex signal and filtering the detected peaks
in the amplitude of the vortex signal to remove a high-frequency
component.
[0016] The details of one or more implementations are set forth
in the accompanying drawings and the description below. Other features
will be apparent from the description and the drawings, and from
the claims.
DESCRIPTION OF DRAWINGS
[0017] FIG. 1 is a block diagram of an example of a vortex flow
meter having a pre-filter and an amplitude detector.
[0018] FIG. 2 is a block diagram of an example of the amplitude
detector of FIG. 1.
[0019] FIG. 3 is a block diagram of a primarily digital implementation
of a vortex flow meter.
[0020] FIG. 4 is a flow chart of a process for propagating a signal
through a vortex flow meter having a pre-filter and an amplitude
detector.
[0021] FIG. 5 is a flow chart of a process for determining if a
vortex signal has an amplitude that is less than a threshold amplitude.
[0022] FIG. 6 is a set of graphs providing simulation data for
a start-up at a low flow rate of a vortex flow meter having a pre-filter.
[0023] FIG. 7 is a set of graphs providing data from a first simulation
as a flow rate is varied and decreased to a low flow rate.
[0024] FIG. 8 is a set of graphs providing data from a second simulation
as a flow rate is varied and decreased to a low flow rate.
[0025] FIG. 9 is a set of graphs providing simulation data at a
low flow rate as noise spurs are introduced.
[0026] FIG. 10 is a block diagram of an example of a vortex flow
meter having a combined pre-filter and band-pass filter.
[0027] FIG. 11 is an axial cross-sectional view of an example of
a bluff body in a pipe.
DETAILED DESCRIPTION
[0028] Architecture
[0029] Referring to FIG. 1 a system 100 may be used as a vortex
flow meter to measure flow rate using the vortex shedding principle.
The system 100 includes a pressure sensor 110 that senses the pressure
of a fluid and produces as an output a signal representing the pressure.
The output of the pressure sensor 110 is provided to a pre-amplifier
120 that amplifies the signal. The output of the pre-amplifier 120
is provided to both a pre-filter 130 and an amplitude detector 140.
If the pre-filter 130 is enabled, the pre-filter 130 filters the
input signal to remove noise. If the pre-filter 130 is not enabled,
the pre-filter 130 passes the signal through to the output without
filtering. The amplitude detector 140 detects the amplitude of the
input signal and enables the pre-filter 130 if the detected amplitude
is below a threshold value. The output of the amplitude detector
140 thus provides an ON/OFF signal to the pre-filter 130. The output
of the pre-filter 130 is provided to a band-pass filter ("BPF")
150 the output of which is provided to an analog-to-digital ("A/D")
converter ("ADC") 160. The BPF 150 filters the input signal
to remove noise and the ADC 160 converts its input signal from analog
to digital. The output of the ADC 160 is provided to a ZCA module
170 that executes a zero crossing algorithm ("ZCA") and
estimates a frequency of the vortex signal. The ZCA module 170 provides
one or more filter settings to the BPF 150. The output of the ZCA
module 170 is provided to a smoothing filter 180. The smoothing
filter 180 produces a smoothed frequency estimate and may be coupled
to a flow estimator (not shown) that estimates the flow rate of
the fluid based on the frequency of the vortex signal.
[0030] Referring to FIG. 2 a system 200 may be used as the amplitude
detector 140 in the system 100. The system 200 includes an absolute
value converter 210. The absolute value converter 210 determines
the absolute value of an input signal and provides that absolute
value as an output to a peak detector 220. The peak detector 220
detects or estimates the peaks in the input signal and provides
those peak values, or some representation of them as an output to
a low pass filter ("LPF") 230. The LPF 230 filters the
input signal and provides the filtered signal as an output to a
comparator 240. The comparator 240 also receives a threshold amplitude
signal A-bar. The comparator 240 compares the input filtered signal
and A-bar and produces an output based on the comparison. The output
of the comparator 240 may be used to enable the pre-filter 130 if
the filtered input is less than A-bar and to disable the pre-filter
130 otherwise.
[0031] Referring to FIG. 3 a system 300 may be used as a primarily
digital implementation of a vortex flow meter. The system 300 includes
a pressure sensor 310 that corresponds to the pressure sensor 110
and provides output to a pre-amplifier 320 that corresponds to the
pre-amplifier 120. The output of the pre-amplifier 120 is provided
to an ADC 360 that corresponds to the ADC 160. The digital output
of the ADC 360 is provided to a pre-filter 330 and an amplitude
detector 340 that correspond, respectively, to the pre-filter 130
and the amplitude detector 140. The output of the pre-filter 330
is provided to a BPF 350 that corresponds to the BPF 150 and provides
an output to a ZCA module 370 that corresponds to the ZCA module
170. One output of the ZCA module 370 is provided to a smoothing
filter 380 that corresponds to the smoothing filter 180 and another
output of the ZCA module 370 provides one or more filter settings
to the BPF 350. Corresponding components of the systems 100 and
300 are not necessarily identical and need not include the same
functionality.
[0032] Operation
[0033] Referring to FIG. 4 a process 400 for propagating a signal
through a vortex flow meter having a pre-filter and an amplitude
detector includes converting pressure to an electric signal (410),
and optionally amplifying the electric signal (420). The process
400 includes determining if the amplitude of the electric signal
is less than a low-flow threshold (430), and, if so, filtering the
electric signal with a pre-filter (440). The process 400 also includes
filtering the electric signal based on an estimated frequency (450),
and optionally converting the electric signal from analog to digital
(460). Finally, the process 400 includes estimating a frequency
of the electric signal using a ZCA (470) and smoothing the frequency
estimate (480).
[0034] Referring again to FIG. 1 a description of the propagation
of a signal through the system 100 maybe used to illustrate an implementation
of the process 400. The pressure sensor 110 may be coupled, for
example, to a bluff body that produces vortex shedding or to a pipe
wall near the bluff body. The pressure sensor 110 senses the pressure
variations of the vortex shedding and produces an electric signal
referred to as the vortex signal (410). The pre-amplifier 120 amplifies
the vortex signal (420) and provides the amplified vortex signal
to the pre-filter 130 and the amplitude detector 140.
[0035] The amplitude detector 140 determines whether the amplitude
of the vortex signal is less than a threshold amplitude (430). As
explained earlier, the amplitude of the vortex signal is directly
related to the flow rate of the vortex signal. Thus, the threshold
amplitude corresponds to a threshold flow rate.
[0036] Before the amplitude detector 140 operates, the threshold
amplitude is set. The threshold amplitude is the maximum amplitude
at which the pre-filter 130 will be enabled, and corresponds to
the maximum flow rate at which the pre-filter 130 will be enabled.
The threshold amplitude may be chosen to be larger than some measure
of the noise on the vortex signal. One measure of the noise may
be obtained by using a probability distribution function of the
noise to determine a noise value that is expected to be greater
than ninety-nine percent of the encountered noise. Such a value
is often referred to as a "three-sigma" point. The threshold
amplitude may also be chosen such that the corresponding flow rate
is higher than the flow rate at which the ZCA empirically begins
to fail. The amplitude detector 140 may use a hysteresis loop or
other mechanism to inhibit the amplitude detector 140 from oscillating
rapidly between enabling and disabling the pre-filter 130.
[0037] If the amplitude of the vortex signal is less than the threshold
amplitude (430), then the amplitude detector 140 enables the pre-filter
130 (440). Conversely, if the amplitude detector 140 determines
that the amplitude of the vortex signal is greater than the threshold
amplitude, then the amplitude detector 140 disables the pre-filter
130. When enabled, the pre-filter 130 acts as a BPF and filters
out high frequency noise and direct current ("DC") offset
arising from the pre-amplifier 120 (440). When disabled, the pre-filter
130 acts as an all-pass filter and has little or no effect on the
vortex signal.
[0038] Before the pre-filter 130 is enabled, the pass band of the
pre-filter 130 is set. One implementation sets the low end of the
pass band, f.sub.L,PF, where PF stands for pre-filter, to one-half
of the minimum vortex frequency, and sets the high end of the pass
band, f.sub.H,PF, to the vortex frequency corresponding to the threshold
amplitude. The minimum vortex frequency is the minimum frequency
at which vortex shedding will reliably occur.
[0039] The pass band for the BPF 150 must also be set. Initially,
the pass band is set so that the BPF 150 acts as an all-pass filter,
having little or no effect on the vortex signal. After the ZCA module
170 has estimated the vortex frequency, the ZCA module 170 provides
the estimated vortex frequency to the BPF 150 and the BPF 150 as
a filter setting establishes a pass band around the estimated vortex
frequency. The pass band may be set in a variety of ways. One implementation
sets the low end of the pass band, f.sub.L,BPF, to one-half of the
estimated vortex frequency, and sets the high end of the pass band,
f.sub.H,BPF, to twice the estimated vortex frequency. These settings
provide for a narrower band at low frequencies than at high frequencies,
which corresponds to a narrower band at low flow rates than at high
flow rates.
[0040] After the pass band is established around the estimated
vortex frequency, the BPF 150 may filter the vortex signal using
the pass band (450). The ADC 160 converts the filtered vortex signal
from an analog signal to a digital signal (460). The output of the
ADC 160 is provided to the ZCA module 170 and may be binary or have
a higher number of discrete levels.
[0041] The ZCA module 170 may include functionality intended to
reject noise. Such functionality may include, for example, using
a hysteresis loop or other mechanism to inhibit the ZCA module 170
from recognizing zero crossings caused by noise. For example, a
Schmitt Trigger or other device with built-in hysteresis may be
used. In one implementation, the noise-rejecting mechanism uses
a hysteresis value, hZcA, to produce a binary output of either a
higher value or a lower value. The noise-rejecting mechanism may
produce a transition from the higher value to the lower value if
the input is below a negative value that has an absolute value greater
than h.sub.ZCA. Conversely, the noise-rejecting mechanism may produce
a transition from the lower value to the higher value if the input
is greater than h.sub.ZCA. Each such transition may indicate a zero
crossing for the vortex signal. Other implementations may operate
differently, such as, for example, by using different hysteresis
values for one or more of the two transitions, or by transitioning
upon different conditions.
[0042] The ZCA module 170 continues to estimate the vortex frequency
(470) and provides filter settings to the BPF 150. As explained
above, the filter settings provided may include an estimated vortex
frequency.
[0043] The ZCA module 170 provides the estimated vortex frequency
to the smoothing filter 180. The smoothing filter 180 smoothes the
estimates of the vortex frequency to produce a smoothed frequency
estimate (480).
[0044] Referring again to FIG. 3 the propagation of a signal through
the system 300 may be used to illustrate a variation of the process
400 in which the analog-to-digital conversion occurs earlier than
that specified in the process 400. The pressure sensor 310 converts
pressure to an electric vortex signal (410) that is provided to
the pre-amplifier 320 which amplifies the electric vortex signal
(420). The ADC 360 converts the amplified electric vortex signal
to a digital signal (460). The amplitude detector 340 determines
if the amplitude of the digital signal is less than a low-flow threshold
(430), and controls the pre-filter 330 to filter the digital signal
if the amplitude is less than the low-flow threshold (440). The
BPF 350 filters the digital signal based on an estimated frequency
from the ZCA module 370 (450). The ZCA module 370 optionally performs
a noise-rejecting function and uses a zero crossing algorithm to
estimate the vortex frequency (470). Finally, the smoothing filter
380 smoothes the estimated vortex frequency (480).
[0045] Referring to FIG. 5 a process 500 for determining if a
vortex signal has an amplitude that is less than a threshold amplitude
includes determining the absolute value of the vortex signal (510),
and determining the peak values of the absolute value vortex signal
(520). The process 500 includes filtering the peak values (530)
and comparing the filtered peak values to the threshold amplitude
(540).
[0046] Referring again to FIG. 2 a description of the propagation
of a signal through the system 200 may be used to illustrate an
implementation of the process 500. The absolute value converter
210 determines the absolute value of the input vortex signal (510),
and the peak detector 220 determines the peaks of the converted
vortex signal (520). The LPF 230 filters the peak values (530).
Finally, the comparator 240 compares the filtered peak values to
the threshold amplitude (540) to determine whether the threshold
has been met.
[0047] The comparator 240 may use a hysteresis loop or other mechanism
to inhibit rapid oscillations between enabling and disabling the
pre-filter 130. In one such implementation, a hysteresis value,
h.sub.C, is used and the comparator 240 only transitions to the
state of enabling the pre-filter 130 (from a state of having the
pre-filter 130 disabled) if the detected amplitude falls below A-bar
minus h.sub.C. Similarly, in that implementation, the comparator
240 only transitions to the state of disabling the pre-filter 130
(from a state of having the pre-filter 130 enabled) if the detected
amplitude rises above A-bar plus h.sub.C. Other implementations
may use different hysteresis values for one or more of the two transitions.
[0048] FIG. 6 shows simulation data indicating that various implementations
of the system 300 may increase the ability of a vortex flow meter
to lock on to a low-flow-rate vortex signal at start-up. For example,
if the system 300 is started with a low flow rate, it may be difficult
for the ZCA module 370 (acting without the amplitude detector 340
and the pre-filter 330) to lock on to the vortex signal. That is,
the ZCA module 370 may be unable to detect the zero crossings that
are due to the vortex signal, as opposed to noise. Until a frequency
is estimated, the BPF 350 may be acting as an all-pass filter and
may not be filtering any noise, and the ZCA module 370 may continue
to have the same level of noise. The amplitude detector 340 however,
may be able to more accurately detect that the flow rate is low,
and may enable the pre-filter 330 to assist the ZCA module 370 in
locking on to the vortex signal.
[0049] As shown in FIG. 6 the input vortex signals of graphs 610-630
each reflect start-up of a noisy system at a low flow rate. The
flow rates decrease from 0.2 liters/second ("l/s") to
0.1 l/s as shown in graphs 640-660 while the noise increases as
shown in graphs 610-630. In each case, however, the system produces
accurate estimates of the flow rates, as indicated in the graphs
640-660.
[0050] FIGS. 7 and 8 show simulation and real data, respectively,
indicating that various implementations of the system 300 may increase
the ability of a vortex flow meter to track a vortex signal from
higher flow rates to lower flow rates where the SNR is lower. For
example, the ZCA module 370 (acting without the amplitude detector
340 and the pre-filter 330) may have difficulty detecting zero crossings
attributable to a vortex signal, as opposed to zero crossings attributable
to noise, as the flow rate decreases. The amplitude detector 340
however, may be able to recognize that the flow rate is decreasing
and enable the pre-filter 330 to assist the ZCA module 370 to track
the vortex signal as the flow rate decreases.
[0051] Referring to the simulation data in FIG. 7 a graph 710
shows that a particular conventional ZCA that tracks the actual
flow rate down to 0.2 l/s does not track the flow rate down to 0.1
l/s. However, a graph 720 shows that coupling the same conventional
ZCA to a pre-filter, such as the pre-filter 330 permits the vortex
flow meter to track the actual flow rate down to 0.1 l/s.
[0052] Details of the simulation associated with FIG. 7 are now
discussed. The simulation used a test system substantially the same
as the system 300 to produce the trace labeled "With prefilter"
in the graph 720. The simulation produced the trace labeled "Conventional
algorithm" in the graph 710 by omitting the amplitude detector
and the pre-filter from the test system. Other implementations of
the simulation associated with FIG. 7 may use different systems
and/or parameters.
[0053] A vortex flow meter is used that has the following three
characteristics. First, the meter has a K-factor of 9.45171 inverse
liters ("l.sup.-1"). The K-factor is generally constant
for a given flow meter, and the vortex frequency equals the flow
rate multiplied by the K-factor. Second, the meter has an amplitude
flow ratio ("AFR") of 0.356. The AFR is a constant for
a given flow meter size and fluid density, and the amplitude of
the vortex signal equals the square of the flow rate multiplied
by the AFR. If the fluid is compressible and may have a changing
density, temperature and pressure can be measured or estimated and
used to determine the density, and the AFR can be adjusted accordingly.
Standard equations relating these variables may be used. Third,
the meter is a two-inch meter having a minimum reliable vortex frequency
of one Hertz ("Hz").
[0054] The flow rate is varied in the simulation between 0.1 l/s
to 3.0 l/s, as indicated in FIG. 7. Accordingly, the corresponding
ranges for amplitude and frequency can be determined. Using the
AFR, the amplitude of the vortex signal varies between 3.56 millivolts
("mV") and 3.20 volts ("V"). Using the K-factor,
the vortex-shedding frequency varies between 1 Hz and 30 Hz.
[0055] Plant noise is assumed to be white Gaussian with zero mean
and variance of 1*10E-5 for all values of the flow rate. Accordingly,
the three-sigma point, which is the ninety-nine percent confidence
interval, is approximately 0.01.
[0056] A hysteresis value, h.sub.ZCA, for a ZCA module of the test
system is selected to be greater than the three-sigma point of the
plant noise. A value of 0.012 V is used. Accordingly, the ZCA module
is expected to fail for amplitude values that fall below 0.012 V.
Using the AFR, the flow rate corresponding to an amplitude of 0.012
V is approximately 0.2 l/s.
[0057] A pre-filter of the test system is configured so that it
switches on below a Reynolds number of 10000. The Reynolds number
("Re") is equal to the fluid velocity ("vel")
times the diameter of the pipe line ("diam") divided by
the viscosity of the fluid ("visc"), or Re=vel*diam/visc.
[0058] Q-bar is related to Re by the following equation, Q-bar=(25*pi/4)(visc*S*Re),
where S is the size of the flow meter in inches. For S=2 and visc=1*10E-6
(the viscosity of water), Q-bar is approximately 0.4 l/s. Alternatively,
Q-bar can be selected to be about 0.4 l/s, and Re can be determined
from Q-bar. In either case, the pre-filter will be switched on at
a threshold flow rate of 0.4 l/s, which, using the AFR, corresponds
to a threshold amplitude of 0.057 V.
[0059] A hysteresis value, h.sub.C, for an amplitude detector of
the test system can also be selected as the three-sigma point of
the plant noise. Thus, h.sub.C can be set to 0.012 V. Other implementations
may set one or more of the hysteresis values to some fraction, such
as, for example, one-third, of the expected vortex signal amplitude.
[0060] The low end of the pass band for the pre-filter is selected
to be one-half of the minimum reliable vortex frequency, f.sub.L,PF,
or 0.5 Hz. The high end of the pass band for the pre-filter, f.sub.H,PF,
is selected to be the frequency corresponding to the threshold flow
rate, which, using the K-factor, is approximately 4 Hz. Other implementations
may select the high end of the pass band to be somewhat higher so
as to reduce the chance of filtering out the vortex signal if the
vortex frequency is equal to or near the threshold frequency.
[0061] When the pre-filter is switched on, the pre-filter removes
some of the noise and will enable the ZCA module to track the vortex
frequency down to 0.1 l/s. A flow rate of 0.1 l/s corresponds to
an amplitude of 0.00356 V, which is smaller than the hysteresis
value, h.sub.ZCA, in the ZCA module. Accordingly, h.sub.ZCA is modified
to be smaller than 0.00356 and a value of 0.001 is selected. The
ZCA module may therefore have a different hysteresis value when
the pre-filter is enabled. The ZCA module may have multiple hysteresis
values, or even a continuously changing hysteresis value, depending,
for example, on the size and location of the pass band of a BPF
of the test system.
[0062] A smoothing filter of the test system is assumed to have
a time constant of one second.
[0063] As the graph 720 illustrates, the simulation tracks the
flow rate down to 0.1 l/s. This reflects an increase in the meter's
turn-down ratio by a factor of two. The turn-down ratio reflects
the range of flow rates that a meter can measure. Assuming that
the meter, without the pre-filter, could measure flow rates between
0.2 l/s and 10 l/s, the meter would have a turn-down ratio of fifty
(10 divided by 0.2). With the pre-filter, the turn-down ratio of
the meter is improved to one hundred.
[0064] The above data demonstrates that the cascaded filters of
the test system, that is, the pre-filter and the BPF, need not have
nested pass bands for all frequencies at which both filters are
enabled. For example, just below a flow rate of 0.4 l/s, the pre-filter
of the test system has a fixed pass band of 0.5 Hz to 4 Hz and the
BPF has a pass band of approximately 2 Hz to 8 Hz. These pass bands
overlap, but are not nested. At a flow rate of 0.15 l/s, however,
the BPF has a pass band of approximately 0.75 Hz to 3 Hz, which
is nested within the pass band of the pre-filter.
[0065] In particular implementations, the pass band of a pre-filter
may be nested within the pass band of a BPF for particular frequencies
at which both filters are enabled. For example, if the pass band
of the BPF is designed to extend from one-fourth the estimated frequency
to four times the estimated frequency, then at a flow rate of 0.15
l/s, the BPF has a pass band of approximately 0.375 Hz to 6 Hz.
At that flow rate, and assuming that the pass band of the pre-filter
is calculated as above, then the pass band of the pre-filter is
0.5 Hz to 4 Hz, which is nested entirely within the pass band of
the BPF. However, assuming a triggering flow rate of 0.4 l/s, the
pass band of the BPF is approximately 1 Hz to 16 Hz and the pass
band of the pre-filter (0.5 Hz to 4 Hz) overlaps this range (1 Hz
to 16 Hz) but is not nested within it.
[0066] Implementations may provide for different configurations
of the pass bands of included filters, such as, for example, having
one pass band nested within another over an entire range for which
the filters are enabled. A filter's pass band may also be varied
in other ways, such as, for example, by increasing the pass band
when the estimated vortex frequency changes. By increasing a pass
band in this manner, a filter may be less likely to shift a narrow
pass band onto a noise spur and filter out the vortex frequency.
[0067] The real data in FIG. 8 provides results that are similar
to the results of the simulation data in FIG. 7. A graph 810 shows
that a particular conventional ZCA is unable to track the flow rate
down past 0.2 l/s. As with the simulation data in the graph 710
the real data in the graph 810 shows that the conventional ZCA continues
to output a value of approximately 0.2 l/s even when the flow rate
has dropped to 0.1 l/s. This may be due, for example, to the behavior
of a BPF, and illustrates one example of the unreliability of the
conventional ZCA at low flow rates. Analogous to the graph 720
a graph 820 shows that coupling the same conventional ZCA to a pre-filter,
such as the pre-filter 330 permits the vortex flow meter to track
the actual flow rate down to 0.1 l/s. The actual flow rate is taken
to be the flow rate indicated by a reliable flow meter, labeled
as "MM" in the legends of the graphs 810 and 820.
[0068] FIG. 9 shows real data indicating that various implementations
of the system 300 may increase the ability of a vortex flow meter
to continue to track a vortex signal at a low flow rate in the presence
of noise. For example, even if the ZCA module 370 (acting without
the amplitude detector 340 and the pre-filter 330) locks on to or
tracks a low flow-rate vortex signal, large noise spurs may cause
zero crossings that the ZCA module 370 improperly attributes to
the vortex signal. The pre-filter 330 however, which would presumably
be enabled at the low flow rate, may filter out the large noise
spurs sufficiently to prevent a zero crossing. Even if the ZCA module
370 (acting without the amplitude detector 340 and the pre-filter
330) were to recover and start tracking the signal again after improperly
recognizing a zero crossing caused by a large noise spur, the flow
meter may produce inaccurate flow values during the time required
for recovery.
[0069] A graph 910 shows that at a flow rate of 0.15 l/s, a particular
conventional ZCA follows a large noise spur at approximately five
seconds on the time axis. The ZCA may be said to be tracking the
noise spur or to have lost lock. The graph 910 reveals that it takes
the ZCA approximately five seconds, until approximately ten seconds
on the time axis, to recover from the noise spur and estimate an
accurate flow rate. Additional spurs at approximately sixteen seconds
and thirty-three seconds also cause the ZCA to mis-estimate the
vortex frequency. A graph 920 shows that coupling the same conventional
ZCA to a pre-filter, such as the pre-filter 330 permits the vortex
flow meter to track the actual flow rate despite the presence of
the noise spurs. As in FIG. 8 the actual flow rate is taken to
be the flow rate indicated by a reliable flow meter, labeled as
"MM" in the legends of the graphs 910 and 920.
[0070] Details of the system associated with the real data of FIGS.
8 and 9 are now discussed. A test system substantially the same
as the system 300 was used to produce the traces labeled "With
PF" in the graphs 820 and 920. The traces labeled "Transmitter"
in the graphs 810 and 910 were produced with a conventional vortex
flow meter that does not include an amplitude detector and a pre-filter.
In both the test system and the conventional vortex flow meter,
substantially all of the functionality occurring after the pre-amplifier
stage is performed by a digital signal processor ("DSP")
chip or chip set. Other systems may use one or more discrete components.
The conventional vortex flow meter may allow the analog data from
a pressure sensor or a pre-amplifier to be tapped. Using such a
tap as an input, the test system may produce the real data in the
"With PF" traces of the graphs 820 and 920.
[0071] Noise immunity may be further enhanced because, after the
flow rate is determined to be low, the systems 100-300 may assume
that the flow rate will not change quickly, which allows the systems
to use the LPF 230 or a digital equivalent which may filter out
large noise spurs and/or other higher-frequency noise. Implementations
may also use a hysteresis loop to filter out noise in the determination
of the amplitude. These features may inhibit the amplitude detectors
140 and 340 from improperly disabling the pre-filters 130 and 330
and may thereby increase the robustness of the amplitude detectors
140 and 340. The robustness of the amplitude detectors 140 and 340
may be further enhanced by the fact that the amplitude detectors
140 and 340 may be concerned only with detecting a range of low
flow rates, and, therefore, may not be concerned with amplitude
changes that do not put the amplitude out of that range. Conversely,
the ZCA modules 170 and 370 may be concerned about every change
in frequency.
[0072] Additional Examples
[0073] Referring to FIG. 10 a system 1000 may be used as a vortex
flow meter to measure flow rate using the vortex shedding principle.
The system 1000 includes a pressure sensor 1010 that corresponds
to the pressure sensor 110 and provides an output to a pre-amplifier
1020 that corresponds to the pre-amplifier 120. The output of the
pre-amplifier 1020 is provided to an amplitude detector 1040 that
corresponds to the amplitude detector 140. The output of the pre-amplifier
102 is also provided to a combined filter 1090 that is controlled,
at least in part, by the output of the amplitude detector 1040.
The combined filter 1090 filters an input signal and provides an
output to an ADC 1060 that corresponds to the ADC 160. The ADC 1060
provides an output to a ZCA module 1070 that corresponds to the
ZCA module 170. One output of the ZCA module 1070 provides a filter
setting to the combined filter 1090 and another output of the ZCA
module 1070 is provided to a smoothing filter 1080 that corresponds
to the smoothing filter 180. The corresponding components of the
systems 100 and 1000 are not necessarily identical and need not
include the same functionality.
[0074] The combined filter 1090 may perform the same, or different,
filtering functions from those performed by the pre-filter 130 and
the BPF 150. In one implementation, the combined filter 1090 performs
the same functions, acting as a two-mode filter. In the first mode,
only the filtering of the BPF 150 is performed by the combined filter
1090. In the second mode, the filtering of both the BPF 150 and
the pre-filter 130 is performed by the combined filter 1090. Such
a combined filter 1090 may consist, for example, of a filter module
having only a single filter architecture or a filter module including
two separate filters. Other implementations of the combined filter
1090 only perform the filtering of the pre-filter 130 ignoring
the feedback provided by the ZCA module 1070. Still other implementations
of the combined filter 1090 perform the filtering of a single BPF
with a single pass band being controlled by both the amplitude detector
1040 and the ZCA module 1070.
[0075] Referring to FIG. 11 a system 1100 illustrates a longitudinal
cross-section of a pipe 1110 containing a bluff body 1120 that induces
vortex shedding in a fluid flowing in the pipe 1110. An arrow 1130
indicates the direction of flow.
[0076] Additional Variations
[0077] Referring again to FIG. 1 the pressure sensor 110 may include,
for example, a differential pressure sensor or an absolute pressure
sensor, and may include materials such as, for example, a piezoelectric
material. Thus, one example of a pressure sensor is a piezoelectric
differential pressure sensor. The pre-amplifier 120 may include,
for example, an electronic component that amplifies an electric
signal, or a component designed to work with signals such as, for
example, electromagnetic and optical signals. The pre-filter 130
may include, for example, a BPF and a LPF. The BPF 150 as well
as other filters, may include, for example, an electronic filter
or filtering module in which the range of frequencies that are passed
is fixed or can be set by a user. The BPF 150 may include filters
designed for electric, electromagnetic, optical, or other signals.
The ADC 160 may include, for example, a converter designed to work
with electric, electromagnetic, optical, or other signals. The noise-rejecting
mechanism described as being part of the ZCA module 170 may also,
or alternatively, be incorporated in the ADC 160. One example is
a Schmitt Trigger. The ZCA module 170 may include, for example,
a device capable of detecting transitions in a signal, or a comparator
capable of comparing a signal to a known value such as zero. The
ZCA module 170 may also include a processor, an arithmetic unit,
a switch, a relay, or another device capable of determining the
time between zero crossings and the corresponding frequency. Further,
the ZCA module 170 may include one or more additional components,
such as a comparator or a logic device, to implement a hysteresis
loop. The same, or different, component(s) may be used to perform
the zero crossing detection and the frequency estimation. The smoothing
filter 180 may include, for example, a LPF, a BPF, or another filter
or filtering module capable of smoothing the frequency estimates.
[0078] Various ones of the components 110-180 in the system 100
may be omitted or moved. For example, the ADC 160 may be moved so
that it is after the ZCA module 170 the smoothing filter 180 or
the pre-amplifier 120 as in FIG. 3 or may be omitted altogether.
Further, pre-amplification may not be needed in all implementations
or may be needed at different, and potentially multiple, points
in an implementation. As discussed earlier, the pre-filter 130 and
the BPF 150 may be combined in various ways. Additional filters
may also be desired in various locations of an implementation. Further,
another component, such as, for example, a resistor, a capacitor,
an isolator, or an operational amplifier, may be desired in one
or more of various locations of an implementation.
[0079] Referring again to FIG. 2 the absolute value converter
210 may include, for example, a rectifier or another device capable
of providing the absolute value of a signal. A DC component may
be subtracted from the input to the absolute value detector 210
before the absolute value is determined. The peak detector 220 may
include, for example, a comparator or a slope detector. The peak
detector 220 may detect a relative minimum and maximum without regard
for whether the value is positive or negative and may also compute
the difference between a successive relative-maximum (peak) and
relative-minimum (valley) if a DC component is present. The comparator
240 and other comparators, may include, for example, an electronic
comparator, a subtractor, a processor, a relay, a switch, or another
device capable of comparing two values. Further, the comparator
240 may include one or more additional components, such as, for
example, a comparator and a logic device or circuit, to implement
a hysteresis loop. The output of the peak detector 220 the LPF
230 or the comparator 240 may be referred to equivalently as, for
example, a detected amplitude or an estimated amplitude.
[0080] Various ones of the components 210-240 in the system 200
may be omitted or moved. For example, the absolute value converter
210 may be omitted or moved to the location after the peak detector
220. The LPF 230 may be placed before the peak detector 220 or may
be omitted altogether. The function of the comparator 240 may be
integrated into another device, such as, for example, the peak detector
220 or the pre-filter 130. An additional component, such as, for
example, a filter, a resistor, a capacitor, an isolator, or an operational
amplifier, may be desired in one or more of various locations of
an implementation.
[0081] The amplitude detector 140 may operate in a different manner
than that previously described. For example, the input signal may
be compared to the threshold amplitude without taking the absolute
value, detecting the amplitude, and/or filtering. In such an implementation,
a relay, a switch, or another comparator may be used, with or without
hysteresis, to directly turn the pre-filter 130 on or off. As another
example, a "square-law" method may be used that includes
squaring the signal and then filtering the squared signal. These
methods may be used in either analog or digital implementations.
[0082] Referring again to FIG. 3 the functionality of the ADC
360 the amplitude detector 340 the pre-filter 330 the BPF 350
the ZCA module 370 and the smoothing filter 380 may be performed
using, for example, discrete components, programmable logic devices,
DSPs, or other processors. One or more additional components may
also be added, as indicated above for the systems 100 and 200. The
system 300 may also include additional functionality, such as, for
example, a user interface to a DSP or other device allowing modification
of various parameters for operational, testing, or other purposes.
[0083] Various operations in the processes 400 and 500 may be performed
in different orders or eliminated altogether. Some examples are
provided by examining the variations discussed for the systems 100-300.
[0084] The simulation and real data provided in FIGS. 6-9 is not
intended to be limiting. The data illustrates certain features of
various implementations. The features may be illustrated by other
implementations and need not be illustrated by all implementations.
[0085] The system 1000 may be modified in a variety of ways, such
as, for example, those described for the systems 100-300.
[0086] A number of implementations have been described. Nevertheless,
it will be understood that various modifications may be made. For
example, the components of the described systems may generally be
implemented in either analog or digital technology, or a combination
of the two. Additionally, the components of the described systems
may generally be interchanged, as may the operations of the described
methods. Accordingly, other implementations are within the scope
of the following claims. |