Application of Monte Carlo Method for Evaluation of Uncertainties of ITS-90 by Standard Platinum Resistance Thermometer
Autor: | Jakub Palenčár, Martin Halaj, Peter Sopkuliak, Rudolf Palenčár, Stanislav Ďuriš, Emil Suroviak |
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Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
monte carlo method
Computer science 020208 electrical & electronic engineering Monte Carlo method Biomedical Engineering standard platinum resistance thermometer 02 engineering and technology 01 natural sciences 010309 optics International Temperature Scale of 1990 the international temperature scale of 1990 (its-90) Control and Systems Engineering 0103 physical sciences 0202 electrical engineering electronic engineering information engineering QA1-939 Statistical physics Resistance thermometer the law of propagation of uncertainty Instrumentation Mathematics |
Zdroj: | Measurement Science Review, Vol 17, Iss 3, Pp 108-116 (2017) |
ISSN: | 1335-8871 |
Popis: | Evaluation of uncertainties of the temperature measurement by standard platinum resistance thermometer calibrated at the defining fixed points according to ITS-90 is a problem that can be solved in different ways. The paper presents a procedure based on the propagation of distributions using the Monte Carlo method. The procedure employs generation of pseudo-random numbers for the input variables of resistances at the defining fixed points, supposing the multivariate Gaussian distribution for input quantities. This allows taking into account the correlations among resistances at the defining fixed points. Assumption of Gaussian probability density function is acceptable, with respect to the several sources of uncertainties of resistances. In the case of uncorrelated resistances at the defining fixed points, the method is applicable to any probability density function. Validation of the law of propagation of uncertainty using the Monte Carlo method is presented on the example of specific data for 25 Ω standard platinum resistance thermometer in the temperature range from 0 to 660 °C. Using this example, we demonstrate suitability of the method by validation of its results. |
Databáze: | OpenAIRE |
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