TDR Probe Statistical Echo Analysis for Low-Level Fluid Detection

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Solution Overview

Problem

Existing methods for determining the level of a medium in a container, such as a fluid in a tank, struggle with accuracy when the level is low, especially when there is foam or the medium is layered, and require costly or complex hardware modifications.

Innovation Solution

A computer-implemented method using a statistical model based on a Markov Chain Monte Carlo interference technique to analyze echo curves from Time Domain Reflectometry (TDR) sensors, incorporating a peak proximity parameter to robustly determine the medium level by fitting Gaussian pulses and estimating peak locations and amplitudes.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of manufacture

If thresholding procedure is used to determine medium level from echo curve, then the method is simple to implement, but measurement precision deteriorates when fluid level is low or medium is layered

Engineering Contradiction:
Improveease of implementationVSAvoidmedium level detection accuracy
Core Design Contradiction:
Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent transforms the echo curve from time domain to frequency domain using Fourier transform, changing the representation parameters to reveal periodic components that are not apparent in the original time domain signal. This parameter transformation enables accurate detection of medium level even in challenging conditions like low fluid levels or layered media where simple thresholding fails.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If TDR sensor probe with vertical and horizontal parts is used to address low fluid levels, then measurement precision improves, but device complexity increases and ease of manufacture deteriorates

Engineering Contradiction:
Improvelow fluid level detection accuracyVSAvoidprobe structure complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent replaces the mechanical solution of modifying the probe physical structure (adding vertical and horizontal parts) with a signal processing approach using Fourier transform. This substitution maintains a simple probe design while achieving improved measurement precision through mathematical transformation of the echo curve data.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

3Productivity

If sub-Nyquist rate sampling is used with finite rate of innovation approach, then productivity increases, but measurement precision deteriorates

Engineering Contradiction:
Improvedata acquisition rateVSAvoidToF estimation accuracy
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The patent applies Fourier transform to change the domain of analysis from time to frequency, enabling accurate parameter extraction even from subsampled data. This transformation reveals the periodic nature of the echo curve, allowing precise Time of Flight estimation without requiring high sampling rates, thus maintaining both productivity and measurement precision.

Inventive Principle:
Principle #35Parameter changes

4Measurement precision

If narrow pulse is sent to reduce overlapping in echo curve, then measurement precision improves, but device complexity and cost increase

Engineering Contradiction:
Improveecho curve resolutionVSAvoidhardware complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent replaces the hardware solution of using narrow pulses (which requires more complex and expensive wideband hardware) with a signal processing solution using Fourier transform. This substitution allows the use of simpler, broader pulses while achieving the same resolution through frequency domain analysis, reducing device complexity and cost.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

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

The method provides accurate and robust fluid level detection even in challenging conditions, reducing computational cost and hardware complexity while maintaining high precision.

Implementation Method 1

The level of the medium may be determined from Time Domain Reflectometry (TDR) sensor data, which may also be referred to as an echo curve. Determining the level 114 of the medium 108 in a container 106 may be achieved by sending a pulse down a TDR probe 104, and recording the resultant reflections

Methodology Applied
Scientific EffectTime Domain Reflectometry: Reflection

Implementation Method 2

A computer-implemented method using a statistical model based on a Markov Chain Monte Carlo interference technique to analyze echo curves from Time Domain Reflectometry (TDR) sensors, incorporating a peak proximity parameter to robustly determine the medium level by fitting Gaussian pulses and estimating peak locations and amplitudes

Methodology Applied
Scientific EffectMarkov Chain Monte Carlo:

Data Source

PatentEP4524525B1Methods for determining a level of a medium in a container, computer readable media, and probing systems
Publication Date: 2025.08.06 SICK AG
  • EP4524525B1 patent drawingFigure 1
  • EP4524525B1 patent drawingFigure 2A
  • EP4524525B1 patent drawingFigure 2B

AI summary

A computer implemented method for determining a level of a medium in a container comprises the following steps carried out by computer hardware components: sending a plurality of pulses through a probe in the container; sensing responses caused by reflections of the pulses; determining a statistical model related to the medium in the container based on the responses; and determining the level of the medium in the container based on the statistical model.