New Solution Technique for the Frequency and Transient Response of Transformer Windings with All Inter-Turn Mutual Inductances and Capacitances Included
DOI:
https://doi.org/10.37591/.v3i1.3032Abstract
This paper addresses the frequency response, the identification of the resonance frequencies as well as the transient response of transformer windings taking into account all possible inter-turn mutual inductances and capacitances. The mutual inductances and capacitances between any turn to all other turns, i.e. not only the immediately adjacent ones, are considered. The analysis starts with writing the set of simultaneous differential equations relating the currents and voltages within the sections representing the transformer winding. This is followed by their solution, only once, in the form of analytic expressions for the voltage and current distributions in the Laplace s-domain. The resonance and anti-resonance frequencies can then be directly identified for the different possibilities of the transformer’s neutral treatment (solid-earthing, isolated neutral, resistive- or inductive-earthing). Results show the importance of taking into account the mutual inductances between any turn and all other winding turns. It was found that the error introduced by neglecting the mutual capacitances to turns other than the immediately neighboring ones is practically insignificant. The results of a parameter study on the effect of the transformer’s circuit parameters on the resonance frequencies are presented. The closed-form expressions of the voltages and currents lend themselves to the determination of their time response using the numerical inversion of their Laplace transforms. This was applied to find the winding response to unit-step voltage input and the transient voltage due to current chopping.
Keywords: power transformers, transformer resonant frequency, transformer representation, electromagnetic transient analysis
Downloads
Published
Issue
Section
License
Journal Title:
Title of the Paper:
Corresponding Author’s Information:
Name: Address:
E-mail:
Contact Number:
It is herein agreed that: The copyright to the above-listed unpublished and original article is transferred to STM Journals.
This copyright transfer covers the exclusive right to reproduce and distribute the contribution, including reprints, translations, photographic reproductions, microform, electronic form (offline, online), or any other reproductions of similar nature.
I/We declare that above manuscript is not published already in part or whole (except in the form of abstract) in any journal or magazine for private or public circulation, and, is not under consideration of publication elsewhere.
I/ We warrant(s) that his/her/their contribution is original, except for such excerpts from copyrighted works as may be included with the permission of the copyright holder and author thereof, that it contains no libelous statements, and does not infringe on any copyright, trademark, patent, statutory right, or propriety right of others.
I/We will not publish his/her/their above said contribution anywhere else without the prior written permission of the publisher unless it has been changed substantially. I/We also agree to the authorship of the article in the following order: Author(s) Name Signature(s)
1. ________________
2. ________________
3. ________________
4. ________________
The author(s) agree to the terms of this Copyright Notice, which will apply to this submission if and when it is published by this journal (comments if any to the editor can be added below).
