Mass Flow Transducer Linearization via Discrete Sine Approximation
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Solution Overview
Problem
Current mass flow transducers generate highly non-linear signals, which are not ideal for high accuracy control systems, and existing methods for linearization, such as piece-wise linear functions and polynomial approximation, require many coefficients and mathematical steps.
Innovation Solution
The method involves using an Application Specific Integrated Circuit (ASIC) to approximate the error from the raw signal using discrete sine functions and subtract it from the original signal, thereby generating a linear signal with improved accuracy and reduced complexity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If piece-wise linear functions or polynomial approximation are used to linearize the mass flow signal, then the signal can be approximated, but the number of coefficients and mathematical steps increases
Solution Approach 1:
The patent transforms the error signal into a different parameter domain using discrete sine functions. By converting the non-linear error into a sum of sinusoidal components with specific frequencies and amplitudes, the linearization problem is re framed in terms of frequency decomposition, which reduces the complexity of the mathematical model while maintaining accuracy.
Solution Approach 2:
The patent replaces complex polynomial or piece-wise linear mathematical models with a more elegant trigonometric series representation. This substitution uses discrete sine functions to approximate the error, which simplifies the computational steps and reduces the number of coefficients needed compared to traditional approaches.
2Ease of operation
If traditional linearization methods are used, then the non-linear signal can be processed, but the mathematical complexity and number of steps increase
Solution Approach 1:
The patent extracts the error component from the raw mass flow signal and processes it separately using discrete sine functions. By isolating the non-linear error term and representing it as a trigonometric series, the main signal processing becomes simpler and more straightforward, reducing the overall mathematical complexity.
Solution Approach 2:
The discrete sine functions serve as an intermediary tool between the raw non-linear signal and the desired linear output. This intermediary representation allows for more efficient error compensation with fewer computational steps, making the overall linearization process easier to implement while reducing mathematical complexity.
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 results in a more accurate linear signal with fewer coefficients and mathematical steps, enhancing the precision of mass flow measurements.
Implementation Method 1
utilize multiple resistive temperature detectors on each side of a heating element parallel to the direction of flow. As a mass such as a fluid or gas flows across the resistors, the resistors that are located upstream from the heating element are cooled, and the resistors located downstream from the heating element are heated. When a voltage is applied across these resistors, an electrical signal is generated.
Implementation Method 2
the resistors located downstream from the heating element are heated
Data Source
AI summary
A method and system for providing a linear signal from mass flow transducer approximates the error from the original raw signal using discrete sine functions and subtracts the approximated error from the original raw signal. The method and system can be implemented using an ASIC (Application Specific Integrated Circuit) mated with a raw mass flow transducer. The method and system for linearizing the signal can be contained in the ASIC, and allows for improved accuracy in the linear signal with few coefficients and mathematical steps.