Design of a linear behavior model for an analog anemometer comparing the methods of least squares and Newton’s linear interpolation by divided differences


Authors

  • Jose Miguel Rodríguez González Tecnológico Nacional de México https://orcid.org/0000-0002-3837-7490
  • J Morán Hernández. Universidad Nacional Autónoma
  • L.L Vargas Oseguera TES campus Valle de Bravo
  • A Terán Soria TES campus Valle de Bravo

DOI:

https://doi.org/10.22517/23447214.25430

Keywords:

Wind speed measurement, anemometer, mathematical model, comparison, standardizing, least squares, Newton’s divided differences

Abstract

This article underscores the importance of accurate wind speed measurements and highlights the necessity of standardizing anemometers using robust mathematical models to
ensure reliable data across a range of fields, including meteorology, wind energy, aviation, and civil engineering. Two classical mathematical modeling methods—the Least Squares
Method and Newton's Divided Differences Method—are presented and compared. The paper evaluates the performance of these methods in anemometer standardization, taking into account their practical applications, limitations, and accuracy under varying experimental conditions. Previous studies demonstrating the efficacy of both methods across different domains are referenced. A methodology is proposed for comparing the two approaches through a controlled wind tunnel experiment using a calibrated digital anemometer under diverse flow conditions. The results will enable researchers and practitioners to select the most appropriate method for their specific needs, thereby enhancing the precision and reliability of wind speed measurements in a wide array of applications. In conclusion, the paper aims to provide a comprehensive analysis of the advantages and limitations of the
Least Squares Method and Newton's Divided Differences Method in anemometer standardization, ultimately contributing to improved measurement quality in various sectors.

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Published

2024-09-27

How to Cite

Rodríguez González , J. M. ., Morán Hernández., J., Vargas Oseguera, L., & Terán Soria, A. (2024). Design of a linear behavior model for an analog anemometer comparing the methods of least squares and Newton’s linear interpolation by divided differences. Scientia Et Technica, 29(03), 123–131. https://doi.org/10.22517/23447214.25430

Issue

Vol. 29 No. 03 (2024): Julio - Septiembre

Section

Ciencias Básicas

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