Research on Extrapolation and Interpolation of Temperature Scale Deviation Equation over the Temperature -38.8344~156.5985℃
WANG Ying-wen1,2, ZHANG Xin3, SUN Jian-ping2, ZHENG Kun-can1, DIAO Fu-guang4, GAO Kai4
1. Inner Mongolia University of Science & Technology, Baotou, Inner Mongolia 014010, China
2. National Institute of Metrology, Beijing 100029, China
3. Beijing Aerospace Petrochemical Technology & EquipmentEngineering Co. Ltd., Beijing 100176, China
4. China Jiliang University, Hangzhou, Zhejiang 310018, China
Abstract:The extrapolation for the deviation equation of two sub-ranges of 0~29.7646℃ and -38.8344~29.7646℃defined by the ITS-90 were derived and discussed, and a deviation equation was developed over the temperature range from -38.8344~156.5985℃. The feasibility of the extrapolation and the deviation equation were checked respectively with the calibration data from 15 and 23 standard platinum resistance thermometers. The results show that the maximum temperature difference between the extrapolation value and the temperature scale calculation result is less than 1.1mK when the deviation equation defined over the temperature range from 0℃ to 29.7646℃ extends to 100℃ and less than 2.6mK when extrapolating to -80℃ for the deviation equation defined over the temperature range from -38.8344℃ to 29.7646℃. The new quadratic deviation equation is equivalent to the deviation equation defined by ITS-90 within 1.5mK. So the extrapolation for the deviation equation of two sub-ranges and the new quadratic deviation equation are feasible to a certain extent.
王颖文,张欣,孙建平,郑坤灿,刁福广,高凯. -38.8344~156.5985℃温区温标偏差方程外推和内插研究[J]. 计量学报, 2018, 39(6): 816-821.
WANG Ying-wen, ZHANG Xin, SUN Jian-ping, ZHENG Kun-can, DIAO Fu-guang, GAO Kai. Research on Extrapolation and Interpolation of Temperature Scale Deviation Equation over the Temperature -38.8344~156.5985℃. Acta Metrologica Sinica, 2018, 39(6): 816-821.
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