title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð² Ð³Ð°ÑÐµÐ½Ð¸Ñ Ð´ÑÐ³Ð¸ Ð² Ð¿Ð¾ÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾ ÑÐ¾ÐµÐ´Ð¸Ð½ÐµÐ½Ð½ÑÑ ÑÐ°Ð·ÑÑÐ´Ð½ÑÑ ÐºÐ°Ð¼ÐµÑÐ°Ñ Ð² Ð¼ÑÐ»ÑÑÐ¸ÐºÐ°Ð¼ÐµÑÐ½Ð¾Ð¼ ÑÐ°Ð·ÑÑÐ´Ð½Ð¸ÐºÐµ Ð ÐÐÐ­-10
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: Study of the processes of arc quenching in series-connected discharge chambers in a multicameral arrester LLPDE-10
Creators: name: ÐÐ¾ÑÐ²Ð¸Ð½ÐºÐ¸Ð½, 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: 2023
Subjects: Ð¼Ð¾Ð»Ð½Ð¸ÐµÐ·Ð°ÑÐ¸ÑÐ°
Ð¼Ð¾Ð»Ð½Ð¸Ñ
Ð¼ÑÐ»ÑÑÐ¸ÐºÐ°Ð¼ÐµÑÐ½ÑÐ¹ ÑÐ°Ð·ÑÑÐ´Ð½Ð¸Ðº
ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ°Ñ Ð´ÑÐ³Ð°
Ð´ÑÐ³Ð¾Ð³Ð°ÑÐµÐ½Ð¸Ðµ
Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
lightning protection
lightning
multi-chamber arrestor
electric arc
arc extinguishing
mathematical modeling

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð´ÑÐ³Ð¾Ð²Ð¾Ð³Ð¾ ÑÐ°Ð·ÑÑÐ´Ð° Ð²Ð½ÑÑÑÐ¸ Ð´Ð²ÑÑ Ð¿Ð¾ÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾ ÑÐ¾ÐµÐ´Ð¸Ð½ÐµÐ½Ð½ÑÑ ÑÐ°Ð·ÑÑÐ´Ð½ÑÑ ÐºÐ°Ð¼ÐµÑ Ñ Ð´Ð²ÑÐ¼Ñ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ°Ð¼Ð¸ ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð¾Ð² (Ð¼ÐµÐ´Ñ, ÑÑÐ°Ð»Ñ), Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ñ Ð¸Ð½ÑÐµÐ³ÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð±Ð°Ð»Ð°Ð½ÑÐ° Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð² Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð¾Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ñ ÑÐµÐ»ÑÑ ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¸Ñ ÐºÑÐ¸ÑÐµÑÐ¸Ñ - ÑÑÐ»Ð¾Ð²Ð¸Ñ Ð³Ð°ÑÐµÐ½Ð¸Ñ Ð´ÑÐ³Ð¸. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐ°Ð±Ð¾ÑÐµÐ³Ð¾ ÑÑÐµÐ½Ð´Ð° Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»Ð°ÑÑ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÑÐ½Ð¾ Ð½ÐµÐ¿Ð¾ÑÑÐµÐ´ÑÑÐ²ÐµÐ½Ð½Ð¾ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ COMSOL Multiphysics Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ Ð¼Ð¾Ð´ÑÐ»Ñ electrical circuit, Ð° ÑÐ°ÐºÐ¶Ðµ Ð² Ð¿ÑÐ¾Ð´ÑÐºÑÐµ MATLAB Simulink, Ð²Ð¾ Ð²ÑÐ¾ÑÐ¾Ð¼ ÑÐ»ÑÑÐ°Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½Ð°Ñ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÑÐµÐ¼Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð¹ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ° ÑÐ¾ÐºÐ° ÑÐµÑÐµÐ· ÑÐ°Ð·ÑÑÐ´Ð½Ð¸Ðº Ð±ÑÐ»Ð° Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð° Ð² Ð²Ð¾ÑÑÐ¾Ð·Ð´Ð°Ð½Ð½Ð¾Ð¹ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ COMSOL Multiphysics Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¿Ð¾ÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾ ÑÐ¾ÐµÐ´Ð¸Ð½ÑÐ½Ð½ÑÑ ÑÐ°Ð·ÑÑÐ´Ð½ÑÑ ÐºÐ°Ð¼ÐµÑ. 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ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ°Ð±Ð¾Ñ, Ð¿Ð¾ÑÐ²ÑÑÑÐ½Ð½ÑÑ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¼Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¼ÑÐ»ÑÑÐ¸ÐºÐ°Ð¼ÐµÑÐ½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ. 2. Ð¡Ð¾Ð·Ð´Ð°Ð½Ð¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¸ÑÐ¿ÑÑÐ°ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÑÐµÐ¼Ñ Ð´Ð»Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ñ Ð²ÑÐµÐ¼Ñ-ÑÐ¾ÐºÐ¾Ð²Ð¾Ð¹ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð´Ð²ÑÐ¼Ñ ÑÐ¿Ð¾ÑÐ¾Ð±Ð°Ð¼Ð¸. 3. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð´ÑÐ³Ð¸ Ð² Ð¿Ð¾ÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾ ÑÐ¾ÐµÐ´Ð¸Ð½ÑÐ½Ð½ÑÑ ÑÐ°Ð·ÑÑÐ´Ð½ÑÑ ÐºÐ°Ð¼ÐµÑÐ°Ñ. 4. ÐÐ½Ð°Ð»Ð¸Ð· Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð². ÐÑÐ» Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð½ÑÑ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÐ°Ð·ÑÑÐ´Ð½ÑÑ ÐºÐ°Ð¼ÐµÑ Ð ÐÐ, Ð´ÑÐ³Ð¾Ð²Ð¾Ð³Ð¾ ÑÐ°Ð·ÑÑÐ´Ð° Ð¸ Ð¿Ð»Ð°Ð·Ð¼ÐµÐ½Ð½ÑÑ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð². Ð Ð¿Ð°ÐºÐµÑÐµ Matlab Simulink Ð¸ Ð±ÑÐ»Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¸ÑÐ¿ÑÑÐ°ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÑÐµÐ½Ð´Ð°, ÑÐ¾ÑÑÐ¾ÑÑÐ°Ñ Ð¸Ð·: 1) ÐÐÐ, Ð¾ÑÐ²ÐµÑÐ°ÑÑÐµÐ³Ð¾ Ð·Ð° Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ñ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ° Ð¼Ð¾Ð»Ð½Ð¸Ð¸, 2) Ð¸ÑÐºÑÐ¾Ð²Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð¼ÐµÐ¶ÑÑÐºÐ°, Ð²Ð¾ÑÑÐ¾Ð·Ð´Ð°ÑÑÐµÐ³Ð¾ Ð¼ÑÐ»ÑÑÐ¸ÐºÐ°Ð¼ÐµÑÐ½ÑÑ ÑÐ¸ÑÑÐµÐ¼Ñ, 3) ÑÑÐµÐ¼Ñ ÑÐµÑÐ¸, Ð¾ÑÐ¾Ð±ÑÐ°Ð¶Ð°ÑÑÐµÐ³Ð¾ Ð²ÑÑÐ¾ÐºÐ¾Ð²Ð¾Ð»ÑÑÐ½ÑÑ Ð»Ð¸Ð½Ð¸Ñ ÐÐ¾Ð»Ð½Ð¾ÑÑÑÑ Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ½Ð°Ñ ÑÑÐµÐ¼Ð° Ð±ÑÐ»Ð° ÑÐ¾Ð·Ð´Ð°Ð½Ð° Ð² COMSOL Multiphysics, Ð´Ð°Ð½Ð½Ð°Ñ ÑÑÐµÐ¼Ð° ÑÐ²Ð»ÑÐµÑÑÑ Ð±Ð¾Ð»ÐµÐµ ÑÐ¾ÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»ÑÑ, ÑÐ°Ðº ÐºÐ°Ðº Ð±Ð»Ð¾Ðº Ð¸ÑÐºÑÐ¾Ð²Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð¼ÐµÐ¶ÑÑÐºÐ° Ð¸Ð·Ð¼ÐµÐ½ÑÐµÑ Ð±Ð¾Ð»ÑÑÐµÐµ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾ ÑÐ²Ð¾Ð¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð½ÐµÐ¿Ð¾ÑÑÐµÐ´ÑÑÐ²ÐµÐ½Ð½Ð¾ Ð²Ð¾ Ð²ÑÐµÐ¼Ñ ÑÐ°ÑÑÐµÑ Ð¼Ð¾Ð´ÐµÐ»Ð¸. Ð Matlab Simulink Ð±ÑÐ»Ð° Ð¿Ð¾Ð»ÑÑÐµÐ½Ð° Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÑ ÑÐ¾ÐºÐ° Ð¾Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸, Ð¿ÑÐ¾ÑÐ¾Ð´ÑÑÐµÐ³Ð¾ ÑÐµÑÐµÐ· ÑÐ°Ð·ÑÑÐ´Ð½Ð¸Ðº, ÑÑÐ¸ Ð´Ð°Ð½Ð½ÑÐµ Ð² Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐµÐ¼ Ð±ÑÐ»Ð¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ°Ð·ÑÑÐ´Ð½ÑÑ ÐºÐ°Ð¼ÐµÑ Ð²Ð½ÑÑÑÐ¸ Ð¿Ð°ÐºÐµÑÐ° COMSOL Multiphysics, Ð¸ÑÐ¾Ð³Ð°Ð¼Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¾Ð±Ð¾Ð¸Ñ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² ÑÑÐ°Ð»Ð¸ Ð´Ð°Ð½Ð½ÑÐµ: Ð³Ð°Ð·Ð¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ, ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ, ÑÐµÐ¿Ð»Ð¾Ð²ÑÑ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð², Ð° ÑÐ°ÐºÐ¶Ðµ ÑÐ°ÑÑÐµÑ Ð¸Ð½ÑÐµÐ³ÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð±Ð°Ð»Ð°Ð½ÑÐ° Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Matlab Simulink Ð¸ COMSOL Multiphysics Ð±ÑÐ»Ð¸ ÑÐ´ÐµÐ»Ð°Ð½Ñ Ð²ÑÐ²Ð¾Ð´Ñ.
description: This work is devoted to the development of a mathematical model of an arc discharge inside two series-connected discharge chambers with two electrode variants (copper, steel), obtaining an integral power balance depending on time in order to establish a criterion - the arc quenching condition. The development of the working stand was carried out in parallel directly in the COMSOL Multiphysics program using the electrical circuit module, as well as in the MATLAB Simulink product, in the second case, the model of sequentially connected discharge chambers obtained using the time dependence scheme of the current pulse through the arrester was used in the model recreated in the COMSOL Multiphysics program. Tasks that were solved during the study: 1. Research of works devoted to mathematical modeling of a multicameral system. 2. Creating a test circuit model to obtain a time-current dependence in two ways. 3. Development of an arc model in series-connected discharge chambers. 4. Analysis of the results obtained. The analysis of modern research devoted to the development of mathematical models of discharge chambers of the multicameral arrester, arc discharge and plasma processes was carried out. In the Matlab Simulink package, a test bench model was developed, consisting of: 1) The pulse voltage generator responsible for simulating the lightning pulse, 2) arrestor, recreating a multicameral system, 3) a network diagram showing a high-voltage line A completely identical scheme was created in COMSOL Multiphysics, this scheme is a more accurate model since the spark gap block changes more of its parameters directly during the calculation of the model. In Matlab Simulink, the dependence of the current on the time passing through the arrester was obtained, these data were later used in the model of discharge chambers inside the COMSOL Multiphysics package, the results of modeling both variants were data: gas-dynamic, electromagnetic, thermal processes, as well as the calculation of the integral power balance. Conclusions were drawn based on the obtained data of mathematical models Matlab Simulink and COMSOL Multiphysics.