Browse > Article
http://dx.doi.org/10.5369/JSST.2012.21.2.109

Improved Interpolating Equation for Industrial Platinum Resistance Thermometer  

Yang, In-Seok (Division of Physical Metrology, Korea Research Institute of Standards and Science)
Kim, Yong-Gyoo (Division of Physical Metrology, Korea Research Institute of Standards and Science)
Gam, Kee-Sool (Division of Physical Metrology, Korea Research Institute of Standards and Science)
Lee, Young-Hee (Division of Physical Metrology, Korea Research Institute of Standards and Science)
Publication Information
Journal of Sensor Science and Technology / v.21, no.2, 2012 , pp. 109-113 More about this Journal
Abstract
We propose an improved interpolating equation to express temperature-resistance characteristics for modern industrial platinum resistance thermometers (PRTs). Callendar-van Dusen equation which has been widely used for platinum resistance thermometer fails to fully describe temperature characteristics of high quality PRTs and leaves systematic residual when the calibration point include temperatures above $300^{\circ}C$. Expanding Callendar-van Dusen to higher-order polynomial drastically improves the uncertainty of the fitting even with reduced degrees of freedom of the fitting. We found that in the fourth-order polynomial fitting, the third-order and fourth-order coefficients have a strong correlation. Using the correlation, we suggest an improved interpolating equation in the form of fourth-order polynomial, but with three fitting parameters. Applying this interpolating equation reduced the uncertainty of the fitting to 32 % of that resulted from the traditional Callendar-van Dusen. This improvement was better than that from a simple third-order polynomial despite that the degrees of the freedom of the fitting was the same.
Keywords
Resistance Thermometer; Calibration; Callendar-van Dusen;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 P. Marcarino, P.P.M. Steur, G. Bongiovanni, and B. Cavigioli, "ITS-90 approximation by means of nonstandard platinum resistance thermometers", in TEMPMEKO-2001: 8th symposium on temperature and thermal measurement in industry and science, Berlin, pp. 85-90, 2001.
2 Kee Sool Gam, Sung Ho Yoo, Sung Min Kim, and In Sick Lee, "Experimental method and evaluation of the calibration capability for the national calibration centers using the platinum resistance temperature sensors", J. Kor. Sensors Soc., vol. 14, no. 4, pp. 231- 236, 2005.   과학기술학회마을   DOI   ScienceOn
3 J. V. Nicholas and D. R. White, Traceable Temperatures, 2nd Ed. John Wiley & Sons, Chichester, pp. 206-207, 2001.
4 H. Preston-Tomas, "The international temperature scale of 1990 (ITS-90)", Metrologia, vol. 27, no. 1, pp. 3-10, 1990.   DOI   ScienceOn
5 ASTM Standard E 1137/E 1137M - 04, "Standard specification for industrial platinum resistance thermometers", ASTM International, West Conshohocken, PA, www.astm.org, 2004.
6 IEC 60751 "Industrial platinum resistance thermometers and platinum temperature sensors", International Electrotechnical Commission, Geneva, 2008.
7 한국산업규격 KSC 1604 "지시 저항 온도계" , 1987.
8 JIS C 1604 "Resistance thermometer sensors", Japanese Standards Association, Tokyo 1997.
9 International Recommendation OIML R 84 "Platinum, copper, and nickel resistance thermometers (for industrial and commercial use)", International Organization of Legal Metrology, Paris, 2003.
10 L. Crovini, A. Actis, G. Coggiola, and A. Mangano, "Accurate thermometry by means of industrial platinum resistance thermometers", Measurement, vol. 10, no. 1, pp. 31-38, 1992.   DOI   ScienceOn