title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð³Ð°ÑÐµÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´ÑÐ³Ð¸ Ñ ÑÑÐµÑÐ¾Ð¼ ÑÑÐ¾Ð·Ð¸Ð¸ ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð¾Ð² Ð² ÑÐ°Ð·ÑÑÐ´Ð½Ð¾Ð¹ ÐºÐ°Ð¼ÐµÑÐµ Ð¼ÑÐ»ÑÑÐ¸ÐºÐ°Ð¼ÐµÑÐ½Ð¾Ð³Ð¾ ÑÐ°Ð·ÑÑÐ´Ð½Ð¸ÐºÐ°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Development of mathematical model of electric arc quenching process in multi-chamber arrester discharge chamber including effects of electrode erosion
Creators: name: Ð Ð¾Ð³Ð¾Ð¶Ð¸Ð½Ð°, ÐÐ½Ð½Ð°
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: Ð¼Ð¾Ð»Ð½Ð¸ÐµÐ·Ð°ÑÐ¸ÑÐ°
Ð¼ÑÐ»ÑÑÐ¸ÐºÐ°Ð¼ÐµÑÐ½Ð°Ñ ÑÐ¸ÑÑÐµÐ¼Ð°
Ð´ÑÐ³Ð¾Ð²Ð¾Ð¹ ÑÐ°Ð·ÑÑÐ´
Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÑÐ¾Ð·Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð¾Ð²
ÑÐ¾ÑÑÐ°Ð² Ð¿Ð»Ð°Ð·Ð¼Ñ
lightning protection
multi-chamber system
arc discharge
modeling
erosion of electrodes
the plasma composition

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ°Ð·ÑÑÐ´Ð½Ð¾Ð¹ ÐºÐ°Ð¼ÐµÑÑ Ð¼ÑÐ»ÑÑÐ¸ÐºÐ°Ð¼ÐµÑÐ½Ð¾Ð³Ð¾ ÑÐ°Ð·ÑÑÐ´Ð½Ð¸ÐºÐ° Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð³Ð°ÑÐµÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´ÑÐ³Ð¸ Ð² ÑÐ°Ð·ÑÑÐ´Ð½Ð¸ÐºÐµ Ñ ÑÑÐµÑÐ¾Ð¼ ÑÑÐ¾Ð·Ð¸Ð¸ ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð¾Ð². ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¸ Ð²Ð°Ð»Ð¸Ð´Ð°ÑÐ¸Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð² ÑÑÐµÐ´Ðµ Comsol Multiphysics Ð´ÑÐ³Ð¾Ð²Ð¾Ð³Ð¾ ÑÐ°Ð·ÑÑÐ´Ð° Ð² Ð¼ÑÐ»ÑÑÐ¸ÐºÐ°Ð¼ÐµÑÐ½Ð¾Ð¼ ÑÐ°Ð·ÑÑÐ´Ð½Ð¸ÐºÐµ. 2. Ð Ð°ÑÑÐµÑ ÑÐµÐ¿Ð»Ð¾ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ²Ð¾Ð¹ÑÑÐ² Ð²Ð¾Ð·Ð´ÑÑÐ½Ð¾Ð¹ Ð¿Ð»Ð°Ð·Ð¼Ñ Ð² ÑÑÐµÐ´Ðµ MathCad Ð¿ÑÐ¸ Ð½Ð°Ð»Ð¸ÑÐ¸Ð¸ Ð² Ð½ÐµÐ¹ Ð¿Ð°ÑÐ¾Ð² Ð¼ÐµÐ´Ð¸. 3. ÐÐ¾Ð±Ð°Ð²Ð»ÐµÐ½Ð¸Ðµ Ð² Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÑÑ Ð¼Ð¾Ð´ÐµÐ»Ñ, ÑÐ¾Ð·Ð´Ð°Ð½Ð½ÑÑ Ð² Comsol Multiphysics, ÑÐ°ÑÑÐ¸ÑÐ°Ð½Ð½ÑÑ Ð² ÑÑÐµÐ´Ðµ MathCad ÑÐµÐ¿Ð»Ð¾ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ²Ð¾Ð¹ÑÑÐ² Ð¿Ð»Ð°Ð·Ð¼Ñ, Ð² ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð¿ÑÐ¸ÑÑÑÑÑÐ²ÑÑÑ Ð¿Ð°ÑÑ Ð¼ÐµÐ´Ð¸. ÐÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ ÑÑÐµÐ´Ñ Comsol Multiphysics Ð±ÑÐ»Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¸ÑÐºÑÐ¾Ð²Ð¾Ð³Ð¾ ÑÐ°Ð·ÑÑÐ´Ð° Ð¸ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼Ð¸ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°, ÐºÐ¾ÑÐ¾ÑÐ¾Ðµ Ð¿Ð¾ÐºÐ°Ð·Ð°Ð»Ð¾, ÑÑÐ¾ Ð´Ð°Ð½Ð½ÑÑ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¼Ð¾Ð¶Ð½Ð¾ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°ÑÑ Ð´Ð»Ñ Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐ¸Ñ ÑÐ°ÑÑÐµÑÐ¾Ð². Ð ÑÑÐµÐ´Ðµ MathCad Ð±ÑÐ» ÑÐ°ÑÑÑÐ¸ÑÐ°Ð½ ÑÐ¾ÑÑÐ°Ð², ÑÐµÑÐ¼Ð¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¸ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÐµ ÑÐ²Ð¾Ð¹ÑÑÐ² Ð²Ð¾Ð·Ð´ÑÑÐ½Ð¾Ð¹ Ð¿Ð»Ð°Ð·Ð¼Ñ, Ð² ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð¿ÑÐ¸ÑÑÑÑÑÐ²ÑÑÑ Ð¿Ð°ÑÑ Ð¼ÐµÐ´Ð¸ Ð² ÑÐ°Ð·Ð»Ð¸ÑÐ½Ð¾Ð¹ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸ (0, 35, 65, 85, 100%). ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð² MathCad ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° Ð±ÑÐ»Ð¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ Ð² ÐºÐ°ÑÐµÑÑÐ²Ðµ ÑÐ²Ð¾Ð¹ÑÑÐ² ÑÑÐµÐ´Ñ Ð² Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´ÑÐ³Ð¸, ÐºÐ¾ÑÐ¾ÑÐ°Ñ Ð±ÑÐ»Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð² Comsol Multiphysics. Ð Ð°ÑÑÐµÑ Ð² Comsol Multiphysics Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð¸Ð»ÑÑ Ð¿ÑÐ¸ ÐºÐ°Ð¶Ð´Ð¾Ð¹ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸ Ð¼ÐµÐ´Ð¸ (0, 35, 65, 85, 100%). ÐÐ»Ñ Ð¿ÑÐ¾Ð²ÐµÑÐºÐ¸ Ð¿ÑÐ°Ð²Ð¸Ð»ÑÐ½Ð¾ÑÑÐ¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð±ÑÐ»Ð¾ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐ¾Ð¿ÑÐ¾ÑÐ¸Ð²Ð»ÐµÐ½Ð¸Ð¹ Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸ÑÑ Ð¿Ð°ÑÐ¾Ð² Ð¼ÐµÐ´Ð¸ Ð² Ð¿Ð»Ð°Ð·Ð¼Ðµ Ð² ÐºÐ¾Ð½ÐµÑÐ½ÑÐ¹ Ð¼Ð¾Ð¼ÐµÐ½Ñ ÑÐ°ÑÑÐµÑÐ°, ÐºÐ¾Ð³Ð´Ð° ÑÐ¾Ð¿ÑÐ¾ÑÐ¸Ð²Ð»ÐµÐ½Ð¸Ðµ Ð¸ÑÐºÑÐ¾Ð²Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð¼ÐµÐ¶ÑÑÐºÐ° Ð²Ð¾ÑÑÑÐ°Ð½Ð°Ð²Ð»Ð¸Ð²Ð°ÐµÑÑÑ. ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð² ÑÐ¾Ð´Ðµ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ ÑÐµÐ¿Ð»Ð¾ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ²Ð¾Ð¹ÑÑÐ² Ð¿Ð»Ð°Ð·Ð¼Ñ Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸ÑÑ, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐ°Ð·ÑÑÐ´Ð½Ð¾Ð¹ ÐºÐ°Ð¼ÐµÑÑ Ð¼ÑÐ»ÑÑÐ¸ÐºÐ°Ð¼ÐµÑÐ½Ð¾Ð³Ð¾ ÑÐ°Ð·ÑÑÐ´Ð½Ð¸ÐºÐ° Ð¼Ð¾Ð³ÑÑ Ð±ÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ Ð´Ð»Ñ Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐ¸Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÑÐ¾Ð·Ð¸Ð¸ ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð¾Ð² Ð½Ð° Ð¿ÑÐ¾ÑÐµÑÑÑ, Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð´ÑÑÐ¸Ðµ Ð²Ð¾ Ð²ÑÐµÐ¼Ñ Ð¸ÑÐºÑÐ¾Ð²Ð¾Ð³Ð¾ ÑÐ°Ð·ÑÑÐ´Ð° Ð² Ð¼ÑÐ»ÑÑÐ¸ÐºÐ°Ð¼ÐµÑÐ½Ð¾Ð¼ ÑÐ°Ð·ÑÑÐ´Ð½Ð¸ÐºÐµ.
description: The given work is devoted to development of a mathematical model of the discharge chamber of a multi-chamber arrester and modeling the process of quenching the electric arc in the including effects of electrode erosion. The research set the following goals: 1. Development and validation of a mathematical model of an arc discharge in a multi-chamber arrester implemented in Comsol Multiphysics. 2. Calculation of thermodynamic properties of air plasma with copper vapor using MathCad. 3. addition of the thermodynamic properties of plasma to a mathematical model implemented in Comsol Multiphysics. The mathematical model of spark discharge was developed using the Comsol Multiphysics software. The results obtained during the simulation were compared with the results of the experiment. Comparing showed that this model can be used for further calculations. The thermodynamic properties of an air plasma containing different concentrations of copper vapor (0, 35, 65, 85, 100%) were calculated in MathCad software. The properties obtained with MathCad were used as medium properties in the electric arc mathematical model in Comsol Multiphysics. The calculation in Comsol Multiphysics was performed for each copper concentration (0, 35, 65, 85, 100%). To verify the correctness of the data obtained the resistances were compared at different concentrations of copper vapor in the plasma at the final moment of calculation, when the spark gap resistance is restored. The dependences of the thermodynamic properties of plasma at different vapor concentrations as well as the mathematical model of the discharge chamber can be used for further studies of electrode erosion effect on the processes occurring during a spark discharge in a multi-chamber arrester.