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Mathematical Model for Investigation of Wave Processes in High-Voltage Transformer

Oleksander Kurylyshyn k.oleksandryk [at] gmail.com
  1. Institute of Electric Power Engineering and Control Systems, Department of Electric Stations, S. Bandery street 28a.
Abstract 

A mathematical model intended for research of wave processes in high-voltage transformers was developed. The variable separation method was used to solve the integraldifferential equations describing the process under research. The voltage distribution in the transformer windings under the influence of the impulse overvoltages was analyzed.

Keywords 
transformer winding
mathematical modelling
impulse overvoltage
partial derivatives
initial conditions
boundary conditions
References 

[1] O. Kyrylenko, M. Seheda, O. Butkevych and T. Mazur, “Matematychne modeliuvannia v elektroenergetytsi” [“Mathematical modeling in electric power engineering”], Lviv, Ukraine: Lviv 
Polytechnic National University Publ., 2013, 608 pages.

[2] M. Seheda, “Matematychne modeliuvannia khvyliovych procesiv y transformatorah” [“Mathematical Modeling of Wave Processes in Transformers”], Tekhnichna elektrodynamika - Technical electrodynamics, No.3, pp.47-49, 2002.

[3] Electrical Transient Interaction between Transformers and the Power System. CIGRE. April 2014.  

[4] M. Seheda, Y. Cheremnykh and T. Mazur, “Matematychne modeliuvannia vilnykh kolyvan naprugy y transformatornykh obvytkah z vrahuvanniam mizhvytkovyh vzajemoinduktyvnostej za umovy vplyvy perenapgug” [“Mathematical modeling of free voltage oscillations on transformer windings taking into account interwinding mutual induction under surge overvoltages”], Naukovyi visnyk natsionalnoho hirnychoho universytetu - Scientific Bulletin of National Mining University, No.1(133), pp.68-76, 2013.