title: ÐÐµÑÐ¾Ð´Ð¸ÐºÐ° ÑÐ°ÑÑÐµÑÐ° ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÑÐ¸Ð»Ð¸Ð¹ Ð² Ð¾Ð±Ð¼Ð¾ÑÐºÐ°Ñ ÑÑÐ°Ð½ÑÑÐ¾ÑÐ¼Ð°ÑÐ¾ÑÐ¾Ð² Ð¸ ÑÐµÐ°ÐºÑÐ¾ÑÐ¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Methods for calculating electrodynamic forces in windings transformers and reactors
Creators: name: ÐÐ¾Ð¿Ð¾Ð², ÐÐ²Ð°Ð½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: ÑÐ»ÐµÐºÑÑÐ¾ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÐºÐ°
ÑÐ¸Ð»Ð¾Ð²Ð¾Ð¹ ÑÑÐ°Ð½ÑÑÐ¾ÑÐ¼Ð°ÑÐ¾Ñ
ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ°Ñ ÑÑÐ¾Ð¹ÐºÐ¾ÑÑÑ
Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ
Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ðµ Ð¼ÐµÐ¶Ð´Ñ Ð¾Ð±Ð¼Ð¾ÑÐºÐ°Ð¼Ð¸
ÑÐ¾ÐºÐ¸ ÐºÐ¾ÑÐ¾ÑÐºÐ¾Ð³Ð¾
Ð·Ð°Ð¼ÑÐºÐ°Ð½Ð¸Ñ
ÑÐ°Ð´Ð¸Ð°Ð»ÑÐ½ÑÐµ ÑÐ¸Ð»Ñ
Ð¾ÑÐµÐ²ÑÐµ ÑÐ¸Ð»Ñ
electric power
power transformer
electrodynamic
resistance
magnetic field
interaction between windings
short circuit circuits
radial forces
axial forces

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐµÑÐ¾Ð´Ð¸ÐºÐ° ÑÐ°ÑÑÐµÑÐ° 
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ÑÑÐ°Ð½ÑÑÐ¾ÑÐ¼Ð°ÑÐ¾ÑÐµ ÐÐ Ð¦-417000/750/24/24. 
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ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÑÐ¸Ð»Ð¸Ð¹. 
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ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐ° Comsol Multiphysics, ÑÐ½Ð¸Ð²ÐµÑÑÐ°Ð»ÑÐ½Ð¾Ð¹ Ð¿Ð»Ð°ÑÑÐ¾ÑÐ¼Ñ Ð´Ð»Ñ 
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Ð½Ð°Ð´ÐµÐ¶Ð½Ð¾ÑÑÐ¸ ÑÐ¸Ð»Ð¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±Ð¾ÑÑÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ.
description: Theme of final qualification work: "Methodology for calculating electrodynamic 
forces in the windings of transformers and reactors" 
This work is devoted to the development of methods for calculating the electrodynamic 
forces arising in the elements of transformer windings using computer simulation. 
Tasks that were solved during the study: 
1) Development of a methodology for calculating the electrodynamic forces arising 
in the elements of transformer windings using computer simulation. 
2) Verification of the developed method using analytical calculations based on 
known fundamental laws and electrodynamic relations. 
3) Application of the methodology for calculating electrodynamic forces in the 
transformer ORTs-417000/750/24/24. 
4) Study of the influence of the transformer operation mode on the magnitude of 
electrodynamic forces. 
 The methodology was developed using the Comsol Multiphysics software 
package, a universal platform for modeling physical processes. The resulting model 
was verified by comparing the calculation results with analytical calculations using 
known electrodynamic relationships. According to the developed method, the 
electrodynamic forces in the transformer during the short-circuit currents flow were 
made, and the influence of the transformer operation mode on the magnitude of the 
electrodynamic forces was studied. 
 As a result, a methodology for calculating the electrodynamic forces in the 
windings of transformers and reactors was developed, the influence of the transformer 
operation mode on the magnitude of these forces is shown, recommendations are given 
for assessing the reliability of power equipment.