The conditional least squares method for thermocouples error modeling

Author

Yeromenko, Valeriy ; Kochan, Orest

Author_Institution

Ternopil Nat. Econ. Univ., Ternopil, Ukraine

fYear

2013

fDate

12-14 Sept. 2013

Firstpage

157

Lastpage

162

Abstract

The problems in modeling of consequences of thermocouples electrodes degradation processes are considered in this paper. It is showed that application of the least squares method (LSM) leads to bias in estimated model coefficients a when free member is equal to zero. Estimations of model coefficients made by LSM when a free member is not equal to zero have all properties of traditional LSM-estimations but haven´t got any physical sense. The new method which has a physical sense is proposed in this paper. Its estimations of the coefficients are unbiased. Method is called the conditional least squares method.

Keywords

electrodes; least squares approximations; thermocouples; LSM-estimations; conditional least squares method; electrodes degradation processes; thermocouples error modeling; Equations; Least squares methods; Mathematical model; Measurement uncertainty; Nonhomogeneous media; Temperature distribution; Temperature measurement; LSM-estimations of model coefficients; acquired during operation time inhomogeneity of thermoelectrodes; error of drift; the least squares method; thermocouples;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Data Acquisition and Advanced Computing Systems (IDAACS), 2013 IEEE 7th International Conference on

Conference_Location

Berlin

Print_ISBN

978-1-4799-1426-5

Type

conf

DOI

10.1109/IDAACS.2013.6662661

Filename

6662661