JP5836427B2 - Determination of the inflow of the right and left eigenvectors in a Coriolis flowmeter - Google Patents

Description

  The present invention relates to the field of flow meters, and in particular to Coriolis flow meters.

In a Coriolis flow meter, mass flow is measured by vibrating a fluid carrying tube in a sinusoidal motion and measuring the time delay (or phase angle) between vibration responses at two or more locations on the tube. In actual situations, the time delay varies linearly with mass flow, but the time delay is generally not zero at zero mass flow. There are usually zero flow delays or offsets caused by several factors such as non-proportional decay, residual flexibility response, electromagnetic crosstalk, phase delay in instrument electronics.

This zero flow offset is typically corrected by measuring the zero flow offset in the zero flow condition and subtracting this measured offset from the measurements taken in subsequent flow periods. This is sufficient to correct the flow zero offset problem when the flow zero offset remains constant. Unfortunately, zero flow offset can be affected by small changes in the surrounding environment (such as temperature) or changes in the piping system through which the material flows. Changes in flow zero offset cause measurement flow error. During normal operation,
There may be a long period between the zero flow state and the zero flow state. The Coriolis flow meter can be calibrated by zeroing the flow meter during these zero flow conditions. Changes in zero offset over time can cause significant errors in the measured flow rate. Accordingly, there is a need for a system and method for calibrating a zero flow offset during the flow period.

Disclosed herein is a method and apparatus that enables periodic calculation of the relative phase of the left eigenvector with respect to the vibrating line. During the normal operation period, the two driving units are used in cooperation to excite the main bending mode of the pipe. Periodically, the first of the two drives, then the second drive, is disabled, allowing measurements that allow the determination of the relative phase of the left eigenvector for the vibration line Become.

Aspect One aspect of the present invention is:
Flowing material through the conduit during vibration of the conduit;
Measuring the relative motion of the oscillating pipeline, and periodically determining the relative phase of the left eigenvector for the pipeline,
Including methods.

Preferably, the method comprises
Determining the relative phase of the right eigenvector for the conduit, and using the relative phase of the left eigenvector and the relative phase of the right eigenvector to determine the actual flow of material through the conduit;
Is further included.

Preferably, the method comprises
Use the relative phase of the right eigenvector to determine the uncorrected flow rate of the material flowing through the pipeline, and to compare the uncorrected flow rate with the actual flow rate to zero offset the material flow rate through the pipeline To determine the
Is further included.

Preferably, the method further includes determining the material flow rate through the conduit using the relative phase of the right eigenvector corrected for zero offset.
Preferably, the method comprises
Determining the relative phase of the right eigenvector, and determining the zero offset for the flow rate of the material through the conduit by averaging the relative phase of the right eigenvector and the relative phase of the left eigenvector;
Is further included.

Preferably, the method further includes determining the material flow rate through the conduit using the relative phase of the right eigenvector corrected for zero offset.
Preferably, the method further includes the relative phase of the left eigenvector being corrected for residual flexibility response and electromagnetic crosstalk.

Preferably, the method comprises
Measuring the first relative phase between two spaced positions on the vibrating conduit while vibrating the conduit using the first driver and the second driver spaced away from the first driver. To do,
Measuring a second relative phase between two spaced locations on the vibrating conduit while vibrating the conduit using only the second drive;
Calculating a residual flexible response and electromagnetic crosstalk associated with the first drive by subtracting the second relative phase from the first relative phase;
Measuring the third relative phase between two spaced positions on the vibrating conduit while vibrating the conduit using only the second drive, and calculating the third relative phase from the first relative phase. Calculating the residual flexible response and electromagnetic crosstalk associated with the second drive by subtracting;
Is further included.

Another aspect of the present invention provides:
Flowing material through the conduit while vibrating the conduit using at least two drives in a spaced configuration;
Measuring the motion of the vibrating pipeline,
While vibrating the pipeline using only the first drive of the drives, the first on the pipeline
Determining a first positional relationship between the position and the first of the drive units;
While vibrating the pipeline using only the second drive of the drives, the first on the pipeline
Determining a second positional relationship between the position and a second of the driving units, and determining a left eigenvector using the first positional relationship and the second positional relationship;
including.

Preferably, the method further includes measuring the movement of the conduit with a first sensor located with the first drive and a second sensor located with the second drive.
Preferably, the method comprises
Determining the relative phase of the right eigenvector for the pipeline while vibrating the pipeline using the first drive unit and the second drive unit, and the relative phase of the left eigenvector from the relative phase of the right eigenvector To determine the actual flow rate of material through the conduit by subtracting
Is further included.

Preferably, the method comprises
Using the relative phase of the right eigenvector to determine the uncorrected flow rate of the material flowing through the conduit;
Determine the zero offset for the material flow through the pipeline by comparing the uncorrected flow rate with the actual flow rate, and use the relative phase of the right eigenvector corrected for the zero offset to Determining the material flow rate through the
Is further included.

Preferably, the method comprises
Determining the relative phase of the right eigenvector for the pipeline while vibrating the pipeline using the first drive and the second drive;
Determine the zero offset for the flow rate of the material through the pipeline by averaging the relative phase of the right eigenvector and the relative phase of the left eigenvector, and the relative phase of the right eigenvector corrected for zero offset Using to determine the material flow through the pipeline,
Is further included.

Preferably, the method comprises
Measuring a first delta time between a first position and a second position when driving the vibration mode using at least two drives;
Measuring a second delta time between the first position and the second position when driving the vibration mode using all of the driving parts except the first driving part;
Measuring a third delta time between the first position and the second position when driving the vibration mode using all of the driving parts except the second driving part;
Calculating a first correction value using the first delta time and the second delta time;
Calculating a second correction value using the first delta time and the third delta time;
Adjusting the first positional relationship using the first correction value before calculating the left eigenvector;
And adjusting the second positional relationship using the second correction value before calculating the left eigenvector,
Is further included.

Preferably, the method comprises
Flowing material through the conduit during vibration of the conduit;
Measuring the relative movement of the vibrating line,
Measuring the relative phase of the right eigenvector while exciting the vibration mode of the pipeline;
Using the relative phase of the right eigenvector corrected for zero offset to determine the material flow through the conduit;
Determine the new zero offset without stopping the material flow through the pipeline, and use the relative phase of the right eigenvector corrected with the new zero offset to determine the material flow through the pipeline about,
Is further included.

Preferably, the method further includes determining a new zero offset using the relative phase of the left eigenvector for the conduit.
Preferably, the method further includes periodically determining a new zero offset.

Preferably, the method further includes that the periodicity is a function of the accuracy required in measuring the flow rate.
Preferably, the method further comprises that a new zero offset is determined when a change in the measured environmental parameter occurs.

Another aspect of the present invention provides:
A conduit configured to contain flowing material;
At least two drives configured to vibrate the conduit;
A detection device configured to measure the relative motion of the vibrating line;
An apparatus configured to periodically determine the relative phase of a left eigenvector for a pipeline using relative motion of the oscillating pipeline, using the relative motion of the oscillating pipeline for the pipeline An apparatus configured to determine the relative phase of the right eigenvector of
including.

Preferably, the method further comprises that the actual flow rate of material through the conduit is determined by using the difference of the relative phase of the left eigenvector relative to the relative phase of the right eigenvector.

Preferably, the method further comprises that the flow rate of material through the conduit is determined using the relative phase of the right eigenvector corrected for zero offset.
Preferably, the method further comprises determining a zero offset for the material flow through the conduit by averaging the relative phase of the right eigenvector and the relative phase of the left eigenvector.

Preferably, the method comprises
By subtracting the relative phase of the left eigenvector from the relative phase of the right eigenvector, the actual flow rate of the material through the conduit is determined, and the flow rate determined using the relative phase of the right eigenvector is the actual flow rate. The comparison determines the zero offset for the flow rate of material through the conduit;
Is further included.

Preferably, the method further includes the relative phase of the left eigenvector being corrected for residual flexible response and electromagnetic crosstalk.
Preferably, the method comprises
Determining a first relative phase between a first position on the vibrating conduit and a second position on the vibrating conduit while vibrating the conduit using at least two drives;
While vibrating the pipe line using all the drive parts except the first drive part among the at least two drive parts, the first position on the vibration pipe line, the second position on the vibration pipe line, A second relative phase between is determined,
While vibrating the pipe line using all of the driving parts except the second driving part among the at least two driving parts, the first position on the vibration pipe line, the second position on the vibration pipe line, A third relative phase between is determined,
By subtracting the second relative phase from the first relative phase, the first of the at least two drive units
By determining the residual flexibility response and electromagnetic crosstalk for the first drive and subtracting the third relative phase from the first relative phase, the second of the at least two drives
The residual flexible response and electromagnetic crosstalk for the drive of
Is further included.

Preferably, the method further comprises the detection device comprising at least two sensors in spaced relation.
Preferably, the method further includes the apparatus being processor execution code for determining the relative phase of the left and right eigenvectors.

Preferably, the method further includes the apparatus being a circuit that determines a relative phase of the left eigenvector and the right eigenvector.
Preferably, the method comprises
A conduit configured to contain flowing material;
Means for vibrating the conduit;
Means for detecting the relative movement of the vibrating conduit;
Means for periodically determining the relative phase of the left eigenvector for the conduit;
Means for determining the relative phase of the right eigenvector for the conduit;
Means for determining the zero offset for the material through the conduit by averaging the relative phase of the right eigenvector and the relative phase of the left eigenvector;
Means for determining the actual material flow rate by using the relative phase of the right eigenvector corrected for zero offset;
Is further included.

It is a top view of the pipe line of an undeformed position in an exemplary embodiment of the present invention. It is a top view of the pipe line of a deformation position corresponding to the main bending mode in an exemplary embodiment of the present invention. FIG. 4 is a top view of a duct in a deformed position corresponding to a bending mode induced by Coriolis force in an exemplary embodiment of the invention. 6 is a flowchart for determining a left eigenvector in an exemplary embodiment of the invention. 6 is a flowchart for determining residual flexibility and electronic crosstalk in an exemplary embodiment of the invention. 6 is a chart showing relative ΔT measured using an unbalanced single tube flow meter with switching drives in an exemplary embodiment of the invention. 6 is a flow chart for recalibrating a flow meter zero offset during a flow period in an exemplary embodiment of the invention.

1-5 and the following description provide specific examples to teach those skilled in the art how to make and use the best mode of the invention. For the purpose of teaching inventive principles, some conventional aspects have been simplified or omitted. Those skilled in the art will appreciate variations from these examples that fall within the scope of the invention. Those skilled in the art will appreciate that the features described below can be combined in various ways to form multiple variations of the invention. As a result, the invention is not limited to the specific examples described below, but only by the claims and their equivalents.

Theoretical Background The operation of the Coriolis flow meter can be explained using mathematical formulas. A general system of first-order differential equations describing the motion of a linear system is

It is. In Equation (1), M and K are the mass and stiffness matrices of the system, and C is a general damping matrix that can have a symmetric component due to damping and a strain symmetric component due to Coriolis forces. Formula (1) is Aq + Bq = u (2)
Can be rewritten as: Where A is a matrix

And B is a matrix

And u is

be equivalent to.
Insight into the equations of motion can be gained by noting equations (1) and (2). The generalized eigenvalue problem associated with equation (2) is
Bφ ^(r) = − Aφ ^(r) λ (3)
The right eigenvector φ ^(r) can be solved as follows. For symmetric A and B matrices, eigenvectors can be used to diagonalize or separate equations of motion. The equations after separation can be easily solved. If the asymmetric system, for example C contains a Coriolis matrix, the right eigenvector does not diagonalize the equation of motion and a coupled equation is obtained. Coupling equations are more difficult to solve and hinder insights into the equations. A left eigenvector is required to diagonalize an asymmetric A or B matrix. The following derivation illustrates this process. The left eigenvector is

Is obtained by solving the generalized eigenvalue problem In general, M and K are symmetric with respect to the Coriolis flow meter. When there is no flow, C is also symmetric and system matrices A and B are symmetric. In this case, Expression (3) and Expression (4) are the same, and the left eigenvector and the right eigenvector are the same. When there is a flow, the left and right eigenvectors will be different due to the asymmetry of the associated C matrix.

  jth right eigenvector

And the i-th order left eigenvector

Is considered. In equation (5)

Is multiplied from the front and the equation (6)

Is multiplied from the back and the difference between the two is taken.

Is obtained. In equation (5)

To formula (6)

And if i ≠ j,

Can be obtained. Equations (7) and (8) give the left eigenvector Φ to the system matrix A or B
Multiplying ^(L) from the front and the right eigenvector Φ ^(R) from the back indicates that the system matrix is diagonalized. That is,

It becomes.
The left eigenvector matrix and the right eigenvector matrix diagonalize the system matrix means that the right eigenvector set and the left eigenvector set are linearly independent. Either set can be used as the basis of the coordinate system for the response. Understanding that the difference between the left and right eigenvectors is due to the asymmetric Coriolis matrix forms the basis of the present invention.

With respect to the mathematical model of the flow meter, the attenuation matrix that models mass, stiffness and non-Coriolis effects is symmetric. In a zero flow system, the left and right eigenvectors are the same (within any magnification). However, the Coriolis force associated with the flow appears in the mathematical model as a distortion-symmetric decay matrix (the transposed matrix is the original matrix with a negative sign). Due to the distortion-symmetric Coriolis matrix, the left and right eigenvectors of the system are made different.
In a flow system without non-proportional decay, the relative phase between different coefficients of the left eigenvector is equal in magnitude and opposite in sign to the relative phase between the same coefficient of the right eigenvector. In a non-proportional decay system, these phase values are equally offset with respect to the left and right eigenvectors, but the difference remains the same. Thus, if the phase characteristics of the left and right eigenvectors can be accurately measured, this characteristic distinguishes between the phase due to zero offset from non-proportional decay and the phase due to material flow. And the associated zero offset error is removed.

Residual flexibility, electromagnetic crosstalk, and electronic measurement system characteristics also contribute to zero offset.
One interpretation of these effects is that they introduce an error in the measurement of the right eigenvector phase. If the drive mode (right eigenvector) can be measured accurately, non-proportional decay is the only effect that causes a zero offset, and this error is easily eliminated from the flow effect using the left and right eigenvector dT information. It will be distinguished.

Operation FIG. 1 shows a top view of a conduit 102 configured to contain material flowing through the conduit. D <b> 1 and D <b> 2 are two drive units (also called actuators) that are separated along the pipe line 102. In this preferred form, the two drive parts are spaced symmetrically with respect to the axial center of the conduit. The drive unit is configured to apply a force to the pipeline 102 to excite a plurality of vibration modes in the pipeline 102. The force may be substantially coherent (eg, confined to a narrow frequency) or broadband. The driving unit may be a well-known means such as a magnet attached to the pipe and a coil attached to a reference through which the oscillating current passes.

S1 and S2 indicate two sensors located together with the drive units D1 and D2. The sensor
A plurality of signals representative of the position and movement of the conduit 102 are configured to be generated. Sensors can include various devices such as coil-type velocity transducers, light or ultrasonic motion sensors, accelerometers, inertial velocity sensors, and the like. In this embodiment, each 2 arranged with one of the drive units
Two sensors are shown. In another embodiment, the pipeline 1 along the length of the pipeline 102
There may be only one sensor configured to measure 02 position and motion. Other configurations with more than two sensors are possible.

FIG. 1A shows the conduit 102 in an undeformed state. By driving the actuator with equal power, the main bending mode of the pipe can be excited. US Pat. No. 6,092,429, entitled “Driver for Vibrating Vibrating Pipeline”, issued July 25, 2000, incorporated herein by reference, excites various vibration modes of the pipe line. The drive part comprised in this way is disclosed.

FIG. 1B shows the deformed conduit 102 corresponding to the main bending mode of the conduit. This mode of vibration also corresponds to the condition when there is no material flow through the conduit. 1B and 1C are exaggerated so that the drawings are easy to see. The actual deformation of the conduit 102 is much smaller. As the material flows through the vibrating conduit 102, the flowing material generates a Coriolis force. Coriolis forces deform the conduit 102 and excite additional vibration modes. FIG. 1C shows the main vibration mode excited by Coriolis force.

The relative phase difference detected between sensor S1 and sensor S2 can be used to determine the material flow rate through conduit 102. In the zero flow state (shown in FIG. 1B), there is no phase difference detected between S1 and S2 due to flow. There may be a phase difference due to the zero offset condition. As material flows through the conduit 102, there is a phase difference between S1 and S2 due to the flow. The measured phase difference detected between S1 and S2 is a measure of the relative phase of the right eigenvector of the system and is proportional to the material flow through the conduit. When the relative phase of the right eigenvector is θR, the measurement phase of the pipe vibration at the sensor S1 is θS1, and the measurement phase of the pipe vibration at the sensor S2 is θS2, θR = θS1−θS2. The time difference delta T can be calculated from the phase difference by dividing by the vibration frequency ω. That is, ΔT = (θS1−θS
2) / ω. The time difference ΔT is also proportional to the material flow rate through the conduit and is a measure typically used in mass flow meters. A more accurate determination of the material flow through the conduit 102 can be calculated by correcting the measured material flow with a zero offset amount.
That is, ΔT _C = ΔT−ZeroOffset.

In one exemplary embodiment of the present invention, during normal operation, both drives are used to excite the main bending mode of the conduit. The material flow rate through the pipeline is determined by measuring the relative phase of the right eigenvector, converting it to the ΔT region, and correcting this value with a zero offset correction amount, ie ΔT _RC = ΔT _R -ZeroOffset. Periodically, the conduit is excited using only one drive and then excited using only the other drive. Measurements are made between the phase of the drive signal and the position on the conduit. These measurements are used to determine the relative phase of the system's left eigenvector.

FIG. 2 is a flowchart for determining a left eigenvector in an exemplary embodiment of the invention. In step 202, both drives are used during normal operation to excite vibrations in the pipeline. In step 204, only the drive D1 is used to excite the vibration of the pipeline. During this period, the phase between the drive signal used in the drive unit D1 and the sensor S1 is measured. This measurement phase difference is called θ1. In step 206, the drive unit D1 is deactivated, and only the drive unit D2 is used to excite the vibration of the pipeline. During this period, the phase between the drive signal used in the drive unit D2 and the sensor S1 is measured. This measurement phase difference is called θ2.
In step 208, the relative phase θL of the left eigenvector for the system is set to θL = θ1−
It can be calculated as θ2. By converting to the time domain, the relative delta T of the left eigenvector, ie ΔT _L = (θ1−θ2) / ω, is obtained. In step 210, normal operation resumes and both drives are used to excite vibrations in the pipeline. The order in which the drives are turned on and off is not important.

The relative phase of the left eigenvector (when the vibration of the pipeline is excited by only one drive unit (
Since θ1 and θ2) are determined, the residual flexible response (RF) and electromagnetic crosstalk (EC) must be corrected. Each drive causes some residual flexibility response and electromagnetic crosstalk. This effect decays to zero almost instantaneously when the drive is stopped. By stopping the drive for a short period of time, it is possible to determine the change in measurement phase at each sensor caused by the residual flexible response and electromagnetic crosstalk associated with that drive. The measured phase change can be determined by measuring the step change in the difference between the sensors that occurs when each drive is deactivated.

FIG. 3 is a flowchart illustrating one embodiment for determining residual flexibility and electronic crosstalk. In step 302, both drives are used during normal operation to excite vibrations in the pipeline. ΔT _D1D2, which is the delta T when both drive units operate, is the sensor S
1 and sensor S2. In step 304, the drive unit D2 is stopped, and only the drive unit D1 is used to excite the pipeline. During this period, ΔT _D1, which is a delta T when only the driving unit D1 operates, is measured between the sensor S1 and the sensor S1. ΔT _D1D2 and Δ
The difference in T _D1 is due to the residual flexibility and electronic crosstalk of the drive unit D2. In step 306, the drive unit D1 is stopped and only the drive unit D2 is used to excite the conduit. During this period,
ΔT _D2, which is a delta T when only the driving unit D2 operates, is measured between the sensors S1 and S1. The difference between ΔT _D1D2 and ΔT _D2 is due to residual flexibility and electronic crosstalk of the drive unit D1. From the measured ΔT, the difference between ΔT _D1D2 and ΔT _D1 and ΔT _D1D2 and ΔT are corrected to correct for the measured ΔT against residual flexibility and electronic crosstalk of both drives.
The difference of _D2 is subtracted. Therefore, the corrected delta T is ΔT _C = ΔT− (ΔT _D1
D2 -.DELTA.T _D1) - a (ΔT _D1D2 -ΔT _D2). Using this technique, ΔT _LC , which is the delta T for the relative phase of the left eigenvector, can be corrected for residual flexibility and electronic crosstalk. That is, ΔT _LC = ΔT _L − (ΔT _D2 −ΔT _D1 ).

FIG. 4 is a chart showing the relative ΔT values measured using an unbalanced single tube flow meter while switching the drive in one exemplary embodiment of the present invention. In this flow meter, the drive units DR1 and DR2 are oriented at 45 degrees from the vertical direction and are located at the same axial position as the sensor PR3. By driving DR1 and DR2 with the same signal, the pseudo juxtaposed drive unit /
A sensor pair is achieved. The same relationship is used to obtain a pseudo juxtaposed driver / sensor pair using the drivers DL1, DL2 and sensor PL3. Two drive sensor pairs (DR1 / DR2
/ PR3 and DL1 / DL2 / PL3) are symmetrically spaced about the axial center of the flow meter. From time zero to time 30, both simulated drive pairs were used to excite the flow meter vibration.
At about 30 seconds, when the DL1 / DL2 driver pair is turned off, a step change in ΔT value occurs. This change in ΔT is caused by the residual flexible response and electromagnetic crosstalk of the DL1 / DL2 pseudo drive unit. At about time 65, the drive unit pair DR1 / DR2 is switched
It is turned off and the drive pair DL1 / DL2 is switched on. At approximately 100 seconds, the DR1 / DR2 drive pair is turned on again and both simulated drive pairs are used to excite the flow meter vibration. The change in the measured ΔT value between times 100 and 120 is DR1
This is caused by the residual flexibility response and electromagnetic crosstalk of the / DR2 pseudo-drive.

In flowmeters where the drive and sensor are located symmetrically about the axis center of the flowmeter, the residual flexibility and electronic crosstalk associated with each drive are equal in magnitude and opposite in sign. When both drives are used during normal operation and vibrations in the pipeline are excited, each effect cancels out and does not need to be corrected to accurately measure the delta T of the right eigenvector. As each drive is switched off for a short period of time, measurements on the left eigenvector and residual flexibility and electronic crosstalk can be made simultaneously.

Compensating for non-uniform phase between different electronic measurement channels is well known in the art.
For example, a known signal can be applied to the input and phase collapse can be measured. This procedure
By providing a preliminary measurement channel that undertakes the measurement function of the channel under test during the test, it can be performed during the flow period.

After the relative ΔT for the left and right eigenvectors is measured and corrected for residual flexibility, electronic crosstalk effects, etc., the flow contribution and the non-proportional decay contribution are calculated. The flow effect F is the difference between the relative ΔT of the left and right eigenvectors divided by two. That is, F = (ΔT _R −ΔT _L ) / 2. The influence F of the flow is
_By comparing the flow rate determined by measuring _R , a new zero offset can be calculated. That is, ZeroOffset = ΔT _R −F. This new ZeroOffset can be used to correct the measured flow rate during normal operation until the value for the left eigenvector is next determined.

The non-proportional damping effect ND is an average of the left eigenvector and the right eigenvector. That is,
ND = ΔT _R + ΔT _L ) / 2. This value can also be used as a new ZeroOffset value.

FIG. 5 is a flow chart for recalibrating the zero offset of the flow meter during the flow period in an exemplary embodiment of the invention. In step 502, both drives are used during normal operation to excite vibrations in the pipeline. An uncorrected relative delta T for the right eigenvector is determined. The uncorrected relative delta T of the right eigenvector is then corrected by using a zero offset. The corrected relative delta T of the right eigenvector is used to determine the flow rate through the flow meter. Periodically, at steps 504, the drives D1 and D2 are alternately switched off to determine the relative delta T and residual flexibility (RF) and electronic crosstalk (EC) of the left eigenvector. Relative delta T of left eigenvector
Are corrected for residual flexibility and electronic crosstalk effects. In step 506, the corrected relative delta T of the left eigenvector and the uncorrected delta T of the right eigenvector are used to determine a new zero offset. The old zero offset is replaced with the new zero offset and the process resumes at step 502. By calculating and replacing the new zero offset of the flow meter, the flow meter is recalibrated for zero flow conditions during the flow of material through the flow meter.

In one exemplary embodiment, the determination of when to recalibrate can be made by using a fixed time interval between calibrations. In another exemplary embodiment, recalibration can be performed when a change in the environment or piping system is detected. For example, recalibration can be performed when the temperature change is greater than a threshold amount. The decision about when to recalibrate may be a combination of a periodic timer and environmental change detection. The period between recalibrations may be shorter for systems that require high accuracy than systems with low accuracy requirements.

Switching between the drives D1 and D2 to measure the relative phase of the left eigenvector means that the normal operation of the flowmeter must be interrupted (ie, measuring the flow using the right eigenvector ΔT). Not to do. For example, when the driving units are arranged symmetrically with respect to the center line of the pipeline, each driving unit excites the driving mode by the same amount. For example, the magnitude of the driving force can be maintained by doubling the current to D2 when D1 is deactivated.

In the above description, the present invention has been described using a single-line flow meter. As is well understood in the art, the present invention can be used with other configurations of flow meters, such as double line flow meters. Furthermore, although the present invention has been described using a straight line, other configurations for the geometry of the flow meter, such as a curved line, are possible.

Claims (23)

A method for determining the relative phase of a left eigenvector of a pipeline,
Flowing material through the conduit during vibration of the conduit by at least two drives in a spaced configuration;
Measuring the motion of the vibrating line;
During the driving of the vibration mode of the pipe line, only the first driving part of the driving part is used, and between the first position on the pipe line and the first driving part of the driving part. Determining a first phase difference;
During the driving of the vibration mode of the pipe line, only the second driving part of the driving part is used, and between the first position on the pipe line and the second driving part of the driving part. Determining a second phase difference;
Determining a relative phase of a left eigenvector using the first phase difference and the second phase difference;
Including methods. Determining the relative phase of the right eigenvector for the conduit (302);
Using the relative phase of the left eigenvector and the relative phase of the right eigenvector to determine an actual flow rate of the material through the conduit;
The method of claim 1, further comprising: Using the relative phase of the right eigenvector to determine an uncorrected flow rate of the material flowing through the conduit;
Determining (506) a zero offset for the flow rate of the material through the conduit by comparing the uncorrected flow rate with the actual flow rate;
The method of claim 2 further comprising:   4. The method of claim 3, further comprising the step of determining (502) a material flow through the conduit using the relative phase of the right eigenvector corrected for the zero offset. Determining the relative phase of the right eigenvector;
Determining a zero offset for the flow rate of the material through the conduit by averaging the relative phase of the right eigenvector and the relative phase of the left eigenvector;
The method of claim 1, further comprising:   The method of claim 5, further comprising determining a material flow rate through the conduit using the relative phase of the right eigenvector corrected for the zero offset.   The method of claim 1, wherein the relative phase of the left eigenvector is corrected for residual flexibility response and electromagnetic crosstalk. Furthermore,
Two spaced positions on the oscillating conduit while the conduit is vibrated using both the first driver of the drivers and the second driver of the drivers. Measuring a first relative phase between:
Measuring a second relative phase between the two spaced locations on the vibrating conduit while vibrating the conduit using only the second of the drivers;
Subtracting the second relative phase from the first relative phase to calculate a residual flexibility response and electromagnetic crosstalk associated with the first of the drives;
Measuring a third relative phase between the two spaced locations on the vibrating conduit while vibrating the conduit using only the first of the drivers;
Calculating a residual flexibility response and electromagnetic crosstalk associated with a second of the drives by subtracting the third relative phase from the first relative phase (308);
The method of claim 7, further comprising:   The movement of the pipe line is measured by a first sensor located with a first drive part of the drive part and a second sensor located with a second drive part of the drive part. Item 2. The method according to Item 1. Determining the relative phase of the right eigenvector for the pipeline while vibrating the pipeline using the first drive and the second drive;
Determining the actual flow rate of the material through the conduit by subtracting the relative phase of the left eigenvector from the relative phase of the right eigenvector;
The method of claim 1, further comprising: Using the relative phase of the right eigenvector to determine an uncorrected flow rate of the material flowing through the conduit;
Determining a zero offset for the flow rate of material through the conduit by comparing the uncorrected flow rate with the actual flow rate;
Using the relative phase of the right eigenvector corrected for the zero offset to determine a material flow rate through the conduit;
The method of claim 10, further comprising: Determining the relative phase of the right eigenvector for the pipeline while vibrating the pipeline using the first drive and the second drive;
Determining a zero offset for the flow rate of the material through the conduit by averaging the relative phase of the right eigenvector and the relative phase of the left eigenvector;
Using the relative phase of the right eigenvector corrected for the zero offset to determine a material flow rate through the conduit;
The method of claim 1, further comprising: Measuring a first delta time between the first position and the second position when vibrating the conduit using at least two drives (302);
The second delta time between the first position and the second position is measured when all of the driving parts except the first driving part are used to vibrate the pipe line. Step (304);
Measuring a third delta time between the first position and the second position when all of the driving parts except the second driving part are used to vibrate the pipeline. Step (306);
Calculating a first correction value using the first delta time and the second delta time (308);
Calculating a second correction value using the first delta time and the third delta time (308);
Adjusting the first phase difference using the first correction value before calculating the left eigenvector;
Adjusting the second phase difference using the second correction value before calculating the left eigenvector;
The method of claim 1, further comprising: A device for determining the relative phase of the left eigenvector of a pipeline,
The conduit (102) configured to contain flowing material;
At least two drive units (D1, D2) configured to vibrate the conduit;
A detection device configured to measure movement of the vibrating conduit;
A first phase difference between the first position on the pipeline and the drive unit D1 while the drive unit D1 vibrates the pipeline;
A second phase difference between the first position on the pipeline and the drive unit D2 while the drive unit D2 vibrates the pipeline;
By using
An apparatus configured to periodically determine a relative phase of a left eigenvector for the pipeline using the motion of the oscillating pipeline;
Equipment with.   The apparatus is also configured to determine a relative phase of a right eigenvector for the pipeline using a phase difference between the first position on the pipeline and a second position on the pipeline. The device of claim 14, wherein the device is a device. The apparatus of claim 15 , wherein an actual flow rate of the material through the conduit is determined by using a difference of the relative phase of the left eigenvector to the relative phase of the right eigenvector. The apparatus of claim 15 , wherein the flow rate of the material through the conduit is determined using the relative phase of the right eigenvector corrected for zero offset. By taking the average of said relative phase of the left eigenvector and the relative phase of the right eigenvector, further comprising determining the zero offset for the flow of said material through said conduit, claim 17 Equipment described in. By subtracting the relative phase of the left eigenvector from the relative phase of the right eigenvector, the actual flow rate of the material through the conduit is determined,
By comparing the flow rate determined using the relative phase of the right eigenvector with the actual flow rate, the zero offset for the flow rate of material through the conduit is determined;
The device according to claim 17 . The apparatus of claim 15 , wherein the relative phase of the left eigenvector is corrected for residual flexibility response and electromagnetic crosstalk. While the vibrated the conduit using at least two driving units, and the first position of the vibrating tube path, the first relative phase between said second position of said vibrating tube path is Determined,
The first position on the vibration pipe and the vibration pipe on the vibration pipe while the pipes are vibrated using all of the at least two drive parts except the first drive part. A second relative phase with respect to the second position is determined;
The first position on the vibration pipe and the vibration pipe on the vibration pipe while the pipe is vibrated using all of the driving parts of the at least two driving parts except the second driving part. A third relative phase to the second position of is determined;
By subtracting the second relative phase from the first relative phase, a residual flexibility response and electromagnetic crosstalk for the first drive of the at least two drives is determined,
By subtracting the third relative phase from the first relative phase, a residual flexibility response and electromagnetic crosstalk for the second drive of the at least two drives is determined.
The device according to claim 20 . 16. The instrument of claim 15 , wherein the detection device comprises at least two sensors in a spaced relationship. The apparatus of claim 15 , wherein the device is a circuit that determines the relative phase of the left eigenvector and the right eigenvector.

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