Skip to main content
Log in

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

  • ELECTROMAGNETIC MEASUREMENTS
  • Published:
Measurement Techniques Aims and scope

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.

Similar content being viewed by others

References

  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. F. Overney and B. Jeanneret, “Impedance bridges: from Wheatstone to Josephson,” Metrologia, 55, No. 5, 119–134 (2018).

  3. P. P. Ornatskiy, Automatic Measurements and Devices, Vishcha Shkola, Kiev (1986).

  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.

  5. B. Hague, Alternating Current Bridge Methods, Pitman Publishing (1971), 6h ed.

  6. K. B. Karandeev, Special Methods of Electrical Measurements, Gosenergoizdat, Moscow–Leningrad (1963).

  7. K. B. Karandeev, Transformer Measurement Bridges, Energiya, Moscow (1970).

  8. F. B. Grinevich, Automatic Alternating Current Bridges, Siberian Division, USSR Academy of Sciences (1964).

  9. V. Yu. Kneller, Yu. R. Agamalov, and A. A. Desova, Automatic Meters of Complex Quantities with Coordinate Balancing, Energiya, Leningrad (1975).

  10. E. M. Bromberg and K. L. Kulikovskiy, Test Methods for Increasing the Precision of Measurements, Energiya, Moscow (1978).

  11. M. A. Zemel’man, Automatic Correction of the Errors of Measurement Devices, Izd. Standartov, Moscow (1972).

  12. P. F. Osmolovskiy, Iterative Multichannel Automatic Control Systems, Sovet. Radio, Moscow (1969).

  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.

  14. L. Callegaro, Electrical Impedance: Principles, Measurement, and Application, CRC Press/Taylor & Francis Groupd, UK (2013).

  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. F. V. Grinevich and M. N. Surdu, Alternating Current Precision Variational Measurements Systems, Naukova Dumka, Kiev (1989).

    Google Scholar 

  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).

  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).

  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).

  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).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. N. Surdu.

Additional information

Translated from Metrologiya, No. 2, pp. 27–43, April–June, 2019.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Surdu, M.N. Variational Method of Calibration of Impedance Meters. Part 1. Basic Assumptions. Meas Tech 62, 562–569 (2019). https://doi.org/10.1007/s11018-019-01661-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11018-019-01661-7

Keywords

Navigation