Evaluation of Piecewise Polynomial Equations for Two Types of Thermocouples

Sensors

Andrew Chen¹ 

[1] Department of Electrical Engineering, National Taiwan University, Taipei 10617, Taiwan; E-Mail:

关键词: piecewise polynomial equation;    regression analysis;    thermocouples;   

DOI  :  10.3390/s131217084

来源: mdpi

【 摘 要 】

Thermocouples are the most frequently used sensors for temperature measurement because of their wide applicability, long-term stability and high reliability. However, one of the major utilization problems is the linearization of the transfer relation between temperature and output voltage of thermocouples. The linear calibration equation and its modules could be improved by using regression analysis to help solve this problem. In this study, two types of thermocouple and five temperature ranges were selected to evaluate the fitting agreement of different-order polynomial equations. Two quantitative criteria, the average of the absolute error values |e|_ave and the standard deviation of calibration equation e_std, were used to evaluate the accuracy and precision of these calibrations equations. The optimal order of polynomial equations differed with the temperature range. The accuracy and precision of the calibration equation could be improved significantly with an adequate higher degree polynomial equation. The technique could be applied with hardware modules to serve as an intelligent sensor for temperature measurement.

【 授权许可】

CC BY   
© 2013 by the authors; licensee MDPI, Basel, Switzerland.