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| 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 |
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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.
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Received: 02 January 2018
Published: 06 November 2018
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［1］王伟,孙建平,曾凡超,等.基于准绝热的锌固定点复现装置. 计量学报［J］,2016, 37(6):591-595.
Wang W,Sun J P,Zeng F C,et al. Zinc Fixed Point Reproduction Apparatus Based on the Quasi Adiabatic［J］. Acta Metrologica Sinica,2016,37(6):591-595.
［2］朱鹏飞,屈继峰,孙建平,等.基于闭环制冷机的平衡氢三相点复现装置.计量学报［J］,2018,39(1):28-32.
Zhu P F, Qu J F, Sun J P, et al. An Automated System for Realizing the Triple Point of Equilibrium Hydrogen Based on Closed-cycle Refrigerator［J］. Acta Metrologica Sinica,2018,39(1):28-32.
［3］Preston-Thomas H. International Temperature Scale of 1990(ITS-90)［J］. Bulletin of Alloy Phase Diagrams,1990,11(2):107-110.
［4］JJG 160—2007 标准铂电阻温度计检定规程［S］.
［5］Burdakin A, Khlevnoy B, Samoylov M, et al. Development of Gallium and Gallium-Based Small-Size Eutectic Melting Fixed Points for Calibration Procedures on Autonomous Platforms ［J］. International Journal of Thermophysics, 2008, 30(1):20-35.
［6］White D R. Some mathematical properties of the ITS-90［C］//9th International Temperature Symposium on Temperature-its Measurement. Melville,USA,2013:81-88.
［7］White D R, Strouse G F. Observations on sub-range inconsistency in the SPRT interpolations of ITS-90 ［J］.Metrologia, 2009, 46(1): 101-108.
［8］White D R, Ballico M, Chimenti V,et al.Uncertainties in the realization of the SPRT sub range of the ITS-90［J］.International Journal of Thermophysics,2007,28(6):1868-1881.
［9］Kang Z R, Lan J B, Zhang J T,et al.A Deviation Function Used for the Secondary Realization of the ITS-90 in the Subrange from 83.8033 K to 273.16 K［J］. International Journal of Thermophysics, 2010, 31(8-9):1484-1490.
［10］Sonia Gaita, Georges Bonnier. A new approach to the analysis of Type 1 non-uniqueness of the ITS-90 above 0℃［J］. International Journal of Metrology and Quality Engineering,2018,9（3）:1-24.
［11］Sun J P, Hao X P, Zeng F C, et al. Onsite Calibration of a Precision IPRT Based on Gallium and Gallium-Based Small-Size Eutectic Points［J］. International Journal of Thermophysics,2017,38(4):47.
［12］康志茹,傅广生. 在0～660.323℃温区标准铂电阻温度计的两个二次偏差函数.计量学报［J］,2005,26(2):107-110.
Kang Z R, Fu G S. Two Quadratic Deviation Function for SPRT in the range 0℃ to 660.323℃［J］. Acta Metrologica Sinica,2005,26 (2):107-110.
［13］Sun J P, Duan Y N, Kang Z R, et al. The Investigation of ITS-90 Inconsistency for Standard Platinum Resistance Thermometers in the Sub-range 0℃ to 419.527℃［J］. Acta Metrologica Sinica,2008,29(5A):100-103. |
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2018, Vol. 39 
