Estimation of Uncertainty for the Torque Transducer in MNm Range—Classical Approach and Fuzzy Sets
The article provides an analysis of the metrological properties of a 5 MN·m torque transducer. The relative electrical signal (given in electrical units, mV/V) as a function of torque measured in both the clockwise and anticlockwise directions was monitored. To fit the data, the weighted method of l...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-08-01
|
| Series: | Energies |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1073/16/16/6064 |
| _version_ | 1797584833494384640 |
|---|---|
| author | Janusz D. Fidelus Jacek Puchalski Anna Trych-Wildner Michał K. Urbański Paula Weidinger |
| author_facet | Janusz D. Fidelus Jacek Puchalski Anna Trych-Wildner Michał K. Urbański Paula Weidinger |
| author_sort | Janusz D. Fidelus |
| collection | DOAJ |
| description | The article provides an analysis of the metrological properties of a 5 MN·m torque transducer. The relative electrical signal (given in electrical units, mV/V) as a function of torque measured in both the clockwise and anticlockwise directions was monitored. To fit the data, the weighted method of least squares with both a straight-line and a cubic spline curve was used. The results of the analysis indicated that the straight-line fitting method produced smaller values of expanded uncertainty than the cubic spline fitting method. Additionally, the study confirmed the assumptions that the Monte Carlo method for propagating uncorrelated distributions was more accurate than the uncertainty propagation method, regardless of the type of curve fitting used. From the estimated uncertainty coverage corridor at selected measurement points, confidence intervals–expanded uncertainties were determined. Additionally, the fuzzy sets approach to the evaluation of uncertainty was presented, and the approximate value of the expanded uncertainty was calculated. |
| first_indexed | 2024-03-10T23:58:21Z |
| format | Article |
| id | doaj.art-7608e0fd375b4678a98e026365f15afd |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T23:58:21Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-7608e0fd375b4678a98e026365f15afd2023-11-19T00:58:13ZengMDPI AGEnergies1996-10732023-08-011616606410.3390/en16166064Estimation of Uncertainty for the Torque Transducer in MNm Range—Classical Approach and Fuzzy SetsJanusz D. Fidelus0Jacek Puchalski1Anna Trych-Wildner2Michał K. Urbański3Paula Weidinger4Central Office of Measures (GUM), ul. Elektoralna 2, 00-139 Warszawa, PolandCentral Office of Measures (GUM), ul. Elektoralna 2, 00-139 Warszawa, PolandCentral Office of Measures (GUM), ul. Elektoralna 2, 00-139 Warszawa, PolandFaculty of Physics, Warsaw Univeristy of Technology (WUT), ul. Koszykowa 75, 00-662 Warszawa, PolandPhysikalisch-Technische Bundesanstalt (PTB), Bundesallee 100, DE-38116 Braunschweig, GermanyThe article provides an analysis of the metrological properties of a 5 MN·m torque transducer. The relative electrical signal (given in electrical units, mV/V) as a function of torque measured in both the clockwise and anticlockwise directions was monitored. To fit the data, the weighted method of least squares with both a straight-line and a cubic spline curve was used. The results of the analysis indicated that the straight-line fitting method produced smaller values of expanded uncertainty than the cubic spline fitting method. Additionally, the study confirmed the assumptions that the Monte Carlo method for propagating uncorrelated distributions was more accurate than the uncertainty propagation method, regardless of the type of curve fitting used. From the estimated uncertainty coverage corridor at selected measurement points, confidence intervals–expanded uncertainties were determined. Additionally, the fuzzy sets approach to the evaluation of uncertainty was presented, and the approximate value of the expanded uncertainty was calculated.https://www.mdpi.com/1996-1073/16/16/6064torque transducerreference torque standard machinemeasurement uncertaintycalibrationwind energyweighted least squares method |
| spellingShingle | Janusz D. Fidelus Jacek Puchalski Anna Trych-Wildner Michał K. Urbański Paula Weidinger Estimation of Uncertainty for the Torque Transducer in MNm Range—Classical Approach and Fuzzy Sets Energies torque transducer reference torque standard machine measurement uncertainty calibration wind energy weighted least squares method |
| title | Estimation of Uncertainty for the Torque Transducer in MNm Range—Classical Approach and Fuzzy Sets |
| title_full | Estimation of Uncertainty for the Torque Transducer in MNm Range—Classical Approach and Fuzzy Sets |
| title_fullStr | Estimation of Uncertainty for the Torque Transducer in MNm Range—Classical Approach and Fuzzy Sets |
| title_full_unstemmed | Estimation of Uncertainty for the Torque Transducer in MNm Range—Classical Approach and Fuzzy Sets |
| title_short | Estimation of Uncertainty for the Torque Transducer in MNm Range—Classical Approach and Fuzzy Sets |
| title_sort | estimation of uncertainty for the torque transducer in mnm range classical approach and fuzzy sets |
| topic | torque transducer reference torque standard machine measurement uncertainty calibration wind energy weighted least squares method |
| url | https://www.mdpi.com/1996-1073/16/16/6064 |
| work_keys_str_mv | AT januszdfidelus estimationofuncertaintyforthetorquetransducerinmnmrangeclassicalapproachandfuzzysets AT jacekpuchalski estimationofuncertaintyforthetorquetransducerinmnmrangeclassicalapproachandfuzzysets AT annatrychwildner estimationofuncertaintyforthetorquetransducerinmnmrangeclassicalapproachandfuzzysets AT michałkurbanski estimationofuncertaintyforthetorquetransducerinmnmrangeclassicalapproachandfuzzysets AT paulaweidinger estimationofuncertaintyforthetorquetransducerinmnmrangeclassicalapproachandfuzzysets |