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Usage of weighted least squares method conversion functions for vortex sonic flowmeters research
A.P. Lapin, South Ural State University, Chelyabinsk, Russian Federation, a_lapin@mail.ru
A.M. Druzhkov, South Ural State University, Chelyabinsk, Russian Federation, sandruzh@gmail.com
Abstract
The least squares method has a number of requirements for usage in regression tasks in model-building for measuring meters. Careful research of its usage prerequisites is required. The homogeneity of the measured values on the whole measurement range is difficult limitation to make often variances.The weighted least squares method is suggested to use for conversion function model building of the vortex sonic flowmeter and to compare results with least squares method. It is noted that the weighted least squares method is able to provide accuracy in a wide range of vortex sonic flowmeters measurements.
Keywords
vortex sonic flowmeters, conversion function, weighted least squares method
References
1. Draper N. Prikladnoy regressionnyy analiz: V 2 ch. Ch. 2: Kniga 2 [Applied regression analysis]. Moscow, Finansy i statistika, 1986. 351 p.
2. Linnik Yu.V. Metod naimen'shikh kvadratov i osnovy teorii nablyudeniy [Least squares method and basic theory of observation]. Moscow, Gosudarstvennoe izdatel'stvo Fiziko-matematicheskoy literatury, 1958. 334 p.
3. Orlova I.V. Ekonomiko-matematicheskie metody i modeli: Komp'yuternoe modelirovanie. Uchebnoe posobie [Economical and mathematical methods and models: Computer simulation. Tutorial]. Moscow, Vuzovskiy uchebnik, 2007. 365 p.
4. Alekhin E.I. Osnovy ekonometriki. Konspekt lektsiy [Fundamentals of econometrics. Summary of lectures]. Orel, 2007. 109 p.
5. Lapin A.P., Druzhkov A.M. Selection of Model for Convertion Function of Vortex Sonic Flowmeters [Vybor modeli funktsii preobrazovaniya vikhreakusticheskikh raskhodomerov]. Vestnik YuUrGU. Seriya «Komp'yuternye tekhnologii upravlenie, radioelektronika», 2012, vol. 17, no. 294, pp. 161–164.
2. Linnik Yu.V. Metod naimen'shikh kvadratov i osnovy teorii nablyudeniy [Least squares method and basic theory of observation]. Moscow, Gosudarstvennoe izdatel'stvo Fiziko-matematicheskoy literatury, 1958. 334 p.
3. Orlova I.V. Ekonomiko-matematicheskie metody i modeli: Komp'yuternoe modelirovanie. Uchebnoe posobie [Economical and mathematical methods and models: Computer simulation. Tutorial]. Moscow, Vuzovskiy uchebnik, 2007. 365 p.
4. Alekhin E.I. Osnovy ekonometriki. Konspekt lektsiy [Fundamentals of econometrics. Summary of lectures]. Orel, 2007. 109 p.
5. Lapin A.P., Druzhkov A.M. Selection of Model for Convertion Function of Vortex Sonic Flowmeters [Vybor modeli funktsii preobrazovaniya vikhreakusticheskikh raskhodomerov]. Vestnik YuUrGU. Seriya «Komp'yuternye tekhnologii upravlenie, radioelektronika», 2012, vol. 17, no. 294, pp. 161–164.
Source
Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control, Radio Electronics, 2013, vol. 13, no. 2, pp. 109-113. (in Russ.) (Brief Reports)