Mathematical Curve
A multi-point mathematical correction technique uses high-order algebraic equations to compensate for non-linear errors in sensor outputs. Applying polynomial calibration to a pressure sensor involves fitting a curve to the raw data collected across multiple reference points. This approach reduces the residual non-linearity that simple linear calibration cannot address.
Coefficient Calculation
The calibration system generates the required coefficients by measuring the sensor response at several known pressures and temperatures. These data points are processed using a least-squares regression algorithm to determine the unique mathematical factors for each device. The resulting coefficients are then stored in the sensor’s non-volatile memory to be used during real-time operation.
Implementation Method
During measurement, the sensor’s microprocessor uses the stored coefficients to calculate the corrected pressure value from the raw voltage or frequency signal. This calculation must be executed rapidly to avoid introducing any noticeable delay in the transmitter’s output. Highly optimized algorithms ensure that the real-time correction occurs within milliseconds, providing a continuous and accurate signal, which is especially important in dynamic control loops where rapid response is required to maintain process stability.
Accuracy Improvement
Applying this correction method significantly reduces the total error band of the instrument across its entire operating range. By compensating for both non-linearity and temperature effects simultaneously, the transmitter can achieve high precision even in variable environments. This level of performance is essential for custody transfer and other high-accuracy industrial measurements.