Accuracy and Precision Improvement of Temperature Measurement Using Statistical Analysis/Central Limit Theorem

Author:

Belo Francisco Antônio1,Soares Manoel Brasileiro1,Lima Filho Abel Cavalcante2ORCID,Lima Thyago Leite de Vasconcelos3ORCID,Adissi Marceu Oliveira4

Affiliation:

1. Research Group on Instrumentation and Control in the Study of Energy and Environment, Department of Electrical Engineering, Federal University of Paraiba, João Pessoa 58051-900, Paraiba, Brazil

2. Department of Mechanical Engineering, Federal University of Paraiba, João Pessoa 58051-900, Paraiba, Brazil

3. Department of Electrical Engineering, Federal Institute of Paraiba, Itabaian 58100-263, Paraiba, Brazil

4. Department of Electrical Engineering, Federal Institute of Paraiba, Cabedelo 58360-000, Paraiba, Brazil

Abstract

This paper describes a method for increasing the accuracy and precision of temperature measurements of a liquid based on the central limit theorem. A thermometer immersed in a liquid exhibits a response with determined accuracy and precision. This measurement is integrated with an instrumentation and control system that imposes the behavioral conditions of the central limit theorem (CLT). The oversampling method exhibited an increasing measurement resolution. Through periodic sampling of large groups, an increase in the accuracy and formula of the increase in precision is developed. A measurement group sequencing algorithm and experimental system were developed to obtain the results of this system. Hundreds of thousands of experimental results are obtained and seem to demonstrate the proposed idea’s validity.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação de Apoio à Pesquisa do Estado da Paraíba

Publisher

MDPI AG

Subject

Electrical and Electronic Engineering,Biochemistry,Instrumentation,Atomic and Molecular Physics, and Optics,Analytical Chemistry

Reference26 articles.

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2. Committee for Guides in Metrology JCGM, BIPM, IEC, IFCC, ISO, IUPAC, IUPAP, and OIML (2012). International Vocabulary of Metrology (VIM), JCGM International Organization for Standardization. [3rd ed.].

3. Should the Classical Variance Be Used as a Basic Measure in Standards Metrology?;Allan;IEEE Trans. Instrum. Meas.,1987

4. Marinov, M.B., Ganev, B., Djermanova, N., and Tashe, T.D. (2019, January 12–14). Analysis of Sensors Noise Performance Using Allan Deviation. Proceedings of the XXVIII International Scientific Conference Electronics, Sozopol, Bulgaria.

5. Holman, J.P. (2012). Experimental Methods for Engineers, McGraw Hill. [8th ed.].

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