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Analysis of the Upper Bound of Dynamic Error Obtained during Temperature Measurements

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  • Krzysztof Tomczyk

    (Faculty of Electrical and Computer Engineering, Cracow University of Technology, Warszawska 24, 31-155 Krakow, Poland)

  • Piotr Beńko

    (Faculty of Environmental Engineering and Energy, Cracow University of Technology, Warszawska 24, 31-155 Krakow, Poland)

Abstract

This paper presents an analysis of the upper bound of the dynamic error obtained during temperature measurements. This analysis was carried out for the case of the absolute error criterion and for the numerically determined excitation signals, with one and two constraints. The negative temperature coefficient (NTC) and K-type thermocouple sensors were tested, and the upper bound of the dynamic error was determined for the case of one and two constraints imposed on the input signal. The influence of the sensor modelling uncertainty on the values of the upper bound of the dynamic error has also been taken into account in this paper. Numerical calculations and the corresponding analysis were carried out using the MathCad 14 program. The solutions presented in this paper make it possible to obtain precise solutions in the field of classic calibration of temperature sensors—but, above all, they allow for a mutual comparison of the accuracy of widely used sensors in the energy industry.

Suggested Citation

  • Krzysztof Tomczyk & Piotr Beńko, 2022. "Analysis of the Upper Bound of Dynamic Error Obtained during Temperature Measurements," Energies, MDPI, vol. 15(19), pages 1-13, October.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:19:p:7300-:d:933375
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    References listed on IDEAS

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    1. Bangyong Sun & Han Liu & Shisheng Zhou & Wenli Li, 2014. "Evaluating the Performance of Polynomial Regression Method with Different Parameters during Color Characterization," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, July.
    2. Krzysztof Tomczyk, 2020. "Monte Carlo-Based Procedure for Determining the Maximum Energy at the Output of Accelerometers," Energies, MDPI, vol. 13(7), pages 1-13, March.
    3. Ryszard Palka & Konrad Woronowicz, 2021. "Linear Induction Motors in Transportation Systems," Energies, MDPI, vol. 14(9), pages 1-22, April.
    4. Athila Santos & Na Liu & Muhyiddine Jradi, 2021. "AUSTRET: An Automated Step Response Testing Tool for Building Automation and Control Systems," Energies, MDPI, vol. 14(13), pages 1-20, July.
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