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MatroVal A Calibration Software With Advanced Uncertainty and Prediction Capabilities Including Complex Numbers. Alex Lepek Newton Metrology Ltd. Presentation Outline. Calibration Procedure Calibration Procedure linked to uncertainty analysis and prediction Types of uncertainty analysis
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MatroVal A Calibration Software With Advanced Uncertainty and Prediction Capabilities Including Complex Numbers Alex Lepek Newton Metrology Ltd www.NewtonMetrology.com
Presentation Outline • Calibration Procedure • Calibration Procedure linked to uncertainty analysis and prediction • Types of uncertainty analysis • Prediction of aging and instability as an uncertainty component www.NewtonMetrology.com
The Calibration Procedure Overview The calibration procedure is a table that is read line by line and cell by cell. Each cell Contains a parameter or instruction. The table can be prepared and linked automatically. www.NewtonMetrology.com
Measurement repetitions Instrument adjustment? Instructions Compliance History file used for prediction Goes to Certificate Uncertainty file and page links Uncertainty method Calibration Procedure www.NewtonMetrology.com
link link How does it work Read Procedure Table Measurand & Measurement System User setup Instructions Past calibrations of the system used for its prediction measure Predefined uncertainty budget template or equation and method Send measurements and other data (e.g. past calibrations) to uncertainty calculator Certificate / Report www.NewtonMetrology.com
Unc. components Linking cal procedure, uncertainty and prediction a.his www.NewtonMetrology.com
Description or instructions to user Components reference values Correlated components measured simultaneously and processed (e.g. sigma of difference) Measurements Entry fields Manual Calibration www.NewtonMetrology.com
Using alternative template } Compliance Unc. Components Result www.NewtonMetrology.com
Decision per ILAC G8 Can indicate k factor for each line Calibration results report generated by a template www.NewtonMetrology.com
Available uncertainty methods • GUM (first order Taylor expansion). Expanded uncertainty computation includes correlations. C-sensitivities may be complex numbers. • Simplified Monte Carlo (assuming RSS equation). C-sensitivities may be complex numbers. • Monte-Carlo simulation directly from the measurement equation. Equation may include complex numbers. Distributions and reference values are given in the budget table.Best precision of results. www.NewtonMetrology.com
c-sensitivity can be complex Deviation Methods: GUM and Monte-Carlo can be complex Uncertainty budget www.NewtonMetrology.com
Uncertainty from measurement equation j Imaginary unit www.NewtonMetrology.com
k, df, confidence Past Calibrations used for prediction and interval analysis Adjustment info www.NewtonMetrology.com
Prediction result Past calibrations differences consider adj. Prediction Method Graphic presentation of a prediction www.NewtonMetrology.com
Available Prediction Methods • Weighted Linear Regression, takes into consideration both regression statistics and measurement uncertainties. Best for white noise instabilities. • Weighted Linear Regression of Differences. Advantage when instrument passes occasional adjustments (“as received” and “as left”). Best for random walk instabilities. • The program can chose the best method and use it. www.NewtonMetrology.com
Hands-on experience: download ‘MetroVal from http://www.NewtonMetrology.com www.NewtonMetrology.com