Advertisement

Measurement Techniques

, Volume 62, Issue 6, pp 562–569 | Cite as

Variational Method of Calibration of Impedance Meters. Part 1. Basic Assumptions

  • M. N. SurduEmail author
ELECTROMAGNETIC MEASUREMENTS
  • 9 Downloads

The variational method of increasing the precision of instruments for the measurement of the impedance parameters is considered. The method is based on variations of the coefficients of influence of the sources of an error on the result of measurements. It is shown that each variation of an influence coefficient of a particular source of error is accompanied by a corresponding measurement of the input quantity. A solution of the system of equations that describes these measurements and that makes it possible to obtain an exact result is presented. Devices used for different purposes constructed on the basis of the variational method are described.

Keywords

impedance inductance resistance uncertainty transfer ratio variation calibration 

References

  1. 1.
    H. P. Hall, A History of Z Measurement, www.ietlabs.com/pdf/GenRad_History/A_History_of_Z_Measurement. pdg, acc. 11.20.2018.
  2. 2.
    F. Overney and B. Jeanneret, “Impedance bridges: from Wheatstone to Josephson,” Metrologia, 55, No. 5, 119–134 (2018).ADSCrossRefGoogle Scholar
  3. 3.
    P. P. Ornatskiy, Automatic Measurements and Devices, Vishcha Shkola, Kiev (1986).Google Scholar
  4. 4.
    S. Awan, B. Kibble, and J. Schurr, Coaxial Electrical Circuits for Interference Free Measurements, Institution of Engineering and Technology, London (2011); Online resource: IET Electrical Measurement Series 13.CrossRefGoogle Scholar
  5. 5.
    B. Hague, Alternating Current Bridge Methods, Pitman Publishing (1971), 6h ed.Google Scholar
  6. 6.
    K. B. Karandeev, Special Methods of Electrical Measurements, Gosenergoizdat, Moscow–Leningrad (1963).Google Scholar
  7. 7.
    K. B. Karandeev, Transformer Measurement Bridges, Energiya, Moscow (1970).Google Scholar
  8. 8.
    F. B. Grinevich, Automatic Alternating Current Bridges, Siberian Division, USSR Academy of Sciences (1964).Google Scholar
  9. 9.
    V. Yu. Kneller, Yu. R. Agamalov, and A. A. Desova, Automatic Meters of Complex Quantities with Coordinate Balancing, Energiya, Leningrad (1975).Google Scholar
  10. 10.
    E. M. Bromberg and K. L. Kulikovskiy, Test Methods for Increasing the Precision of Measurements, Energiya, Moscow (1978).Google Scholar
  11. 11.
    M. A. Zemel’man, Automatic Correction of the Errors of Measurement Devices, Izd. Standartov, Moscow (1972).Google Scholar
  12. 12.
    P. F. Osmolovskiy, Iterative Multichannel Automatic Control Systems, Sovet. Radio, Moscow (1969).Google Scholar
  13. 13.
    J. Schurr, F. Ahlers, and B. P. Kibble, “The ac quantum Hall resistance as an electrical impedance standard and its role in the S1,” Measur. Sci. Technol., 23, No. 12 (2012), https://iopscience. iop.org/article/10.1088/0957-0233/23/12/124009, acc. 11.20.2018.ADSCrossRefGoogle Scholar
  14. 14.
    L. Callegaro, Electrical Impedance: Principles, Measurement, and Application, CRC Press/Taylor & Francis Groupd, UK (2013).Google Scholar
  15. 15.
    A. Rufenacht, N. E. Flowers-Jacobs, and S. P. Benz, “Impact of the new generation of Josephson voltage standards in ae and dc electric metrology,” Metrologia, 55, No. 5 (2018),  https://doi.org/10.1088/1681-7575/aad41 a local download, acc. 11.15.2018.
  16. 16.
    F. V. Grinevich and M. N. Surdu, Alternating Current Precision Variational Measurements Systems, Naukova Dumka, Kiev (1989).Google Scholar
  17. 17.
    M. N. Surdu and V. P. Salyuk, “Increasing the precision with which impedance is measured by means of alternating current transformer and auto-transformer bridges,” Izmer. Tekhn., No. 6, 61–63 (1996).Google Scholar
  18. 18.
    M. N. Surdu and V. P. Salyuk, “Increasing the precision with which impedance is measured by means of four-pole alternating current bridges,” Izmer. Tekhn., No. 9, 31–33 (1991).Google Scholar
  19. 19.
    M. N. Surdu, A. L. Lameko, L. N. Semenycheva, et al., “Automatic wide-range transformer bridge for measurement of capacitance and loss tangent,” Izmer. Tekhn., No. 9, 54–57 (2013).Google Scholar
  20. 20.
    M. N. Surdu, A. L. Lameko, D. M. Surdu, and S. N. Kursin, “An automatic precision system for metrological assurance of measurements of impedance parameters. Part 1. Operating principles,” Izmer. Tekhn., No. 7, 51–58 (2012).Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Ukrainian Academy of MetrologyKievUkraine

Personalised recommendations