Detailing of the transformer equation to the single winding turns (groups of the winding turns)

Authors

  • Володимир Олександрович Бржезицький National Technical University of Ukraine «Kyiv Polytechnic Institute», 37, Prospect Peremohy, 03056, Kyiv-56, Ukraine https://orcid.org/0000-0002-9768-7544
  • Ярослав Олександрович Гаран National Technical University of Ukraine «Kyiv Polytechnic Institute», 37, Prospect Peremohy, 03056, Kyiv-56, Ukraine https://orcid.org/0000-0003-3242-9218
  • Ігор Миколайович Маслюченко National Technical University of Ukraine «Kyiv Polytechnic Institute», 37, Prospect Peremohy, 03056, Kyiv-56, Ukraine https://orcid.org/0000-0001-6073-9649

DOI:

https://doi.org/10.15587/2312-8372.2016.59101

Keywords:

transformer, inductance, leakage, partial inductance

Abstract

Detailing of transformer equations to the level of single winding turns (groups of the winding turns) is done.

System of equations that allows to perform complex calculations of voltage drop on separate groups of the winding turns (as well as single winding turns) of transformer windings are presented.

The concept of "partial leakage inductance", "partial mutual leakage inductance", allowing detail the calculation of characteristics and parameters of transformers, are introduced.

Application of the developed method allows to determine the distribution of complex voltage drop in the windings of the transformer (up to single winding turns), which is fundamentally new.

The theory can also be used for the calculation of division coefficient (transformation ratio) of inductive associated circuits.

Testing results of the developed theory confirms the agreement of the results of the previously known data in the theory of transformers.

Author Biographies

Володимир Олександрович Бржезицький, National Technical University of Ukraine «Kyiv Polytechnic Institute», 37, Prospect Peremohy, 03056, Kyiv-56

Doctor of Technical Sciences, Professor, Acting Head of Department

Department of High Voltage Engineering and Electrophysics

Ярослав Олександрович Гаран, National Technical University of Ukraine «Kyiv Polytechnic Institute», 37, Prospect Peremohy, 03056, Kyiv-56

Engineer

Department of High Voltage Engineering and Electrophysics

Ігор Миколайович Маслюченко, National Technical University of Ukraine «Kyiv Polytechnic Institute», 37, Prospect Peremohy, 03056, Kyiv-56

Candidate of Technical Sciences, Assistant Professor

Department of High Voltage Engineering and Electrophysics

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Published

2016-01-21

How to Cite

Бржезицький, В. О., Гаран, Я. О., & Маслюченко, І. М. (2016). Detailing of the transformer equation to the single winding turns (groups of the winding turns). Technology Audit and Production Reserves, 1(1(27), 32–37. https://doi.org/10.15587/2312-8372.2016.59101

Issue

Vol. 1 No. 1(27) (2016): Mechanical engineering and machine building. Energy, energy-saving technologies and equipment

Section

Electrical Engineering and Industrial Electronics: Original Research

License

Copyright (c) 2016 Володимир Олександрович Бржезицький, Ярослав Олександрович Гаран, Ігор Миколайович Маслюченко

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