Compensating Resonator Effect in Vibration Liquid Sensors

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Solution Overview

Problem

Existing methods for determining the density and mass flow rate of liquids, particularly those with high sound velocities, are hindered by cross-sensitivities with sound velocity and compressibility, leading to inaccuracies due to the resonator effect, which is not adequately compensated in current multi-frequency technologies.

Innovation Solution

A method and apparatus that compensate for the resonator effect by determining a physical parameter's measurement value using a sensor with a measuring tube, where the vibration parameter is corrected based on the natural frequency and sound velocity of the liquid, with external sound velocity values provided independently, and using mode-specific correction terms to adjust preliminary density and mass flow rate values.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If multi-frequency technology is used to determine density and mass flow rate, then measurement capability is provided, but cross-sensitivities with sound velocity and compressibility cause measurement inaccuracies

Engineering Contradiction:
Improvemeasurement accuracyVSAvoidmeasurement reliability
Core Design Contradiction:
Measurement precisionVSReliability

Solution Approach 1:

The patent introduces an intermediary correction mechanism that uses the resonator effect as a mediating factor to compensate for cross-sensitivities. By calculating correction terms based on the resonator effect (which depends on sound velocity and compressibility), the system eliminates the harmful cross-sensitivity influences without directly measuring them, thus resolving the measurement accuracy issue while maintaining the multi-frequency measurement capability.

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The patent implements a feedback correction system where the measurement process continuously monitors and adjusts for resonator effect influences. The correction terms are calculated based on the measured vibration parameters and sound velocity, creating a feedback loop that compensates for cross-sensitivities in real-time, thereby improving both measurement precision and reliability simultaneously.

Inventive Principle:
Principle #23Feedback

2Device complexity

If resonator effect is not compensated, then measurement process is simple, but measurement errors increase for liquids with high sound velocities

Engineering Contradiction:
Improvemeasurement process complexityVSAvoidmeasurement accuracy
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent changes the measurement parameters by introducing correction terms that depend on sound velocity and compressibility parameters. Instead of simply measuring vibration frequencies, the system adjusts the measurement values using parameter-based corrections (K1, K2, K3 terms) that account for the resonator effect, thereby improving accuracy without fundamentally changing the measurement approach or significantly increasing complexity.

Inventive Principle:
Principle #35Parameter changes

3Measurement precision

If sound velocity is measured independently, then resonator effect compensation is enabled, but measurement system complexity increases

Engineering Contradiction:
Improvedensity and mass flow rate accuracyVSAvoidsensor system complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent makes the measurement system universal by using the same vibration measurement infrastructure to serve multiple purposes: measuring density, mass flow rate, and sound velocity. The sound velocity measurement is integrated into the existing multi-frequency vibration analysis, allowing one system to provide multiple correction parameters without adding separate dedicated sound velocity sensors, thus limiting the increase in system complexity.

Inventive Principle:
Principle #6Universality (Multi-functionality)

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach significantly improves measurement accuracy by accounting for the resonator effect, reducing errors in density and mass flow rate calculations for liquids with high sound velocities, aligning with literature values and enhancing measurement precision.

Implementation Method 1

the measuring tube can be excited to vibrate between the two fastening devices in at least one flexural vibration mode

Methodology Applied
Scientific EffectFlexural vibration: Vibration

Implementation Method 2

the measurement value is compensated in respect of the resonator effect as a function of a current value for the natural frequency of the flexural vibration mode and of the sound velocity of the liquid conducted in the measuring tube

Methodology Applied
Scientific EffectSound velocity: Speed of Sound

Implementation Method 3

the measurement value is compensated in respect of the resonator effect as a function of a current value for the natural frequency of the flexural vibration mode

Methodology Applied
Scientific EffectResonator effect: Resonance

Data Source

PatentUS12104939B2Method for ascertaining a physical parameter of a charged liquid
Publication Date: 2024.10.01 ENDRESS HAUSER FLOWTEC AG
  • US12104939B2 patent drawing
  • US12104939B2 patent drawing

AI summary

A method for the measurement of a physical parameter of a liquid by means of a sensor having at least one measuring tube for conducting the liquid, wherein the measuring tube can be excited to vibrate in at least one flexural vibration mode, comprises: determining at least one current value of a vibration parameter of the flexural vibration mode; determining a measurement value of the physical parameter according to the current value of the vibration parameter, wherein the measurement value is compensated in respect of the resonator effect according to a current value for the natural frequency of the flexural vibration mode and according to the sound velocity of the liquid conducted in the measuring tube, wherein the value for the sound velocity is provided independently of the vibrations of the measuring tube.