title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð²Ð°ÐºÑÑÐ¼Ð½Ð¾Ð¹ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´ÑÐ³Ð¸ Ð² Ð²Ð°ÐºÑÑÐ¼Ð½Ð¾Ð¼ Ð²ÑÐºÐ»ÑÑÐ°ÑÐµÐ»Ðµ 10 ÐºÐ-40 ÐºÐ/3150 Ð Ñ Ð°ÐºÑÐ¸Ð°Ð»ÑÐ½ÑÐ¼ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÐ¼ Ð¿Ð¾Ð»ÐµÐ¼
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: Development of a model of a vacuum electric arc in a vacuum circuit breaker 10 kV - 40 kA / 3150 A with an axial magnetic field
Creators: name: ÐÐ¾Ð¿Ð¾ÑÐ¾Ð², ÐÐ½Ð´ÑÐµÐ¹
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: Ð°ÐºÑÐ¸Ð°Ð»ÑÐ½Ð¾Ðµ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ
Ð²Ð°ÐºÑÑÐ¼Ð½Ð°Ñ Ð´ÑÐ³Ð¾Ð³Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð°Ñ ÐºÐ°Ð¼ÐµÑÐ°
Ð²Ð°ÐºÑÑÐ¼Ð½Ð°Ñ Ð´ÑÐ³Ð°
Ð¿Ð»Ð°Ð·Ð¼Ð°
Ð¿ÐµÑÐµÑ Ð¾Ð´Ð½Ð¾Ðµ Ð²Ð¾ÑÑÑÐ°Ð½Ð°Ð²Ð»Ð¸Ð²Ð°ÑÑÐµÐµÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ðµ
axial magnetic field
vacuum chamber
vacuum arc
plasma
transient recovery voltage

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð²Ð°ÐºÑÑÐ¼Ð½Ð¾Ð¹ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´ÑÐ³Ð¸ Ð² Ð²Ð°ÐºÑÑÐ¼Ð½Ð¾Ð¼ Ð²ÑÐºÐ»ÑÑÐ°ÑÐµÐ»Ðµ 10 ÐºÐ â 40 ÐºÐ/3150 Ð Ñ Ð°ÐºÑÐ¸Ð°Ð»ÑÐ½ÑÐ¼ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÐ¼ Ð¿Ð¾Ð»ÐµÐ¼Â». Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ â ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð²Ð°ÐºÑÑÐ¼Ð½Ð¾Ð¹ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´ÑÐ³Ð¸ Ð² Ð²Ð°ÐºÑÑÐ¼Ð½Ð¾Ð¼ Ð²ÑÐºÐ»ÑÑÐ°ÑÐµÐ»Ð¸ Ð¿ÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ð¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¿Ð¾Ð´ÑÐ¾Ð´Ð¾Ð² Ðº ÐµÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ Ð¾ÑÐµÐ½ÐºÐ° Ð¸Ñ Ð´Ð¾ÑÑÐ¾Ð¸Ð½ÑÑÐ² Ð¸ Ð½ÐµÐ´Ð¾ÑÑÐ°ÑÐºÐ¾Ð² Ð Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ Ð·Ð°Ð´Ð°ÑÐ¸ Ð²ÑÐ¾Ð´Ð¸Ñ: 1. Ð Ð°ÑÑÑÐ¸ÑÐ°ÑÑ Ð¿ÐµÑÐµÑÐ¾Ð´Ð½Ð¾Ðµ Ð²Ð¾ÑÑÑÐ°Ð½Ð°Ð²Ð»Ð¸Ð²Ð°ÑÑÐµÐµÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ðµ. 2. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°ÑÑ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð²Ð°ÐºÑÑÐ¼Ð½Ð¾Ð¹ Ð´ÑÐ³Ð¸ Ñ ÑÑÐµÑÐ¾Ð¼ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ¾Ð² Ð¼ÐµÑÐ°Ð»Ð»Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¿Ð°ÑÐ°. 3. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°ÑÑ ÑÑÐµÑÐ¼ÐµÑÐ½ÑÑ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð´ÑÐ³Ð¸ Ð² Ð²Ð°ÐºÑÑÐ¼Ð½Ð¾Ð¼ Ð²ÑÐºÐ»ÑÑÐ°ÑÐµÐ»Ðµ Ñ Ð°ÐºÑÐ¸Ð°Ð»ÑÐ½ÑÐ¼ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÐ¼ Ð¿Ð¾Ð»ÐµÐ¼. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÐ°Ð±Ð¾ÑÑ Ñ Ð´Ð²ÑÑÐ¼ÐµÑÐ½Ð¾Ð¹ Ð´ÑÐ³Ð¾Ð¹ Ð±ÑÐ»Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ¾Ð² Ð¿Ð»Ð°Ð·Ð¼Ñ, Ð¿Ð°Ð´ÐµÐ½Ð¸Ðµ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ñ Ð½Ð° Ð´ÑÐ³Ðµ, Ð·Ð½Ð°ÑÐµÐ½Ð¸Ðµ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ¾ÐºÐ° Ð² Ð´ÑÐ³Ðµ. ÐÐ¾Ð´ÐµÐ»Ñ Ð´ÑÐ³Ð¸ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÑÑÑ Ð² Ð¿Ð¾ÑÐ»ÐµÐ´ÑÐ³Ð¾Ð²Ð¾Ð¼ Ð¸Ð½ÑÐµÑÐ²Ð°Ð»Ðµ Ð´Ð¾ Ð¿Ð¾Ð»Ð½Ð¾Ð³Ð¾ Ð¾ÑÐµÐ´Ð°Ð½Ð¸Ñ Ð¼ÐµÑÐ°Ð»Ð»Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¿Ð°ÑÐ°. ÐÐ° Ð°Ð½Ð¾Ð´ Ð¿ÑÐ¸Ð»Ð¾Ð¶ÐµÐ½Ð¾ Ð¿ÐµÑÐµÑÐ¾Ð´Ð½Ð¾Ðµ Ð²Ð¾ÑÑÑÐ°Ð½Ð°Ð²Ð»Ð¸Ð²Ð°ÑÑÐµÐµÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ðµ. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸ â ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð¸ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¸ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»ÐµÐ¹ Ð¸ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÑ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ¾ÐºÐ° Ð¸ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ðµ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ¾ÐºÐ° Ð² Ð¾Ð´Ð½Ð¾Ð¼ ÐºÐ°ÑÐ¾Ð´Ð½Ð¾Ð¼ Ð¿ÑÑÐ½Ðµ. Ð Ð·Ð°ÐºÐ»ÑÑÐµÐ½Ð¸Ð¸ Ð¾ÑÐµÐ½Ð¸Ð²Ð°ÐµÑÑÑ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð¸ Ð¿ÑÐ¾Ð±Ð»ÐµÐ¼Ñ, Ñ ÐºÐ¾ÑÐ¾ÑÑÐ¼Ð¸ Ð¼Ð¾Ð¶Ð½Ð¾ ÑÑÐ¾Ð»ÐºÐ½ÑÑÑÑÑ Ð¿ÑÐ¸ ÑÐ°ÑÑÐµÑÐµ. Ð¡Ð´ÐµÐ»Ð°Ð½ Ð²ÑÐ²Ð¾Ð´ Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼Ð¾ÑÑÐ¸ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹.
description: The subject of the graduate qualification work is Â« Development of a model of a vacuum electric arc in a vacuum circuit breaker 10 kV - 40 kA / 3150 A with an axial magnetic field. Â» The purpose of the work is to develop a model of a vacuum electric arc in a vacuum circuit breaker using various approaches to its modeling and evaluate their advantages and disadvantages. The work set the following goals: 1. Calculate the transient recovery voltage. 2. Develop a vacuum arc model considering the interaction of metal vapor particles. 3. Develop a three-dimensional vacuum arc model with axial magnetic field. As a result of working with a two-dimensional arc, plasma particles, a voltage drop across the arc, and a current value in the arc were detected. The arc model will be limited in the post-arc interval until the complete deposition of the metal vapor on the anode with a mandatory transition to the restored voltage. The results of the 3D problem are the sums and values associated with the magnitude and magnitude of the current magnitude and the magnitude of the current associated with a single cathode spot. The assessment evaluates the capabilities of the models and the problems that may be encountered in the calculation. The conclusion is made about the applicability of the models.