title: ÐÐ¾Ð»Ð½Ð¸ÐµÐ²ÑÐµ Ð¿ÐµÑÐµÐ½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ñ Ð² Ð¿Ð¾Ð´Ð·ÐµÐ¼Ð½ÑÑ ÑÐ¸Ð»Ð¾Ð²ÑÑ ÐºÐ°Ð±ÐµÐ»ÑÑ
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: Lightning overvoltageâs in underground power cables
Creators: name: ÐÐ°Ð²Ð»Ð¾Ð², ÐÐ¸ÐºÐ¾Ð»Ð°Ð¹
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¸Ð·Ð¾Ð»ÑÑÐ¸Ñ ÐºÐ°Ð±ÐµÐ»Ñ
Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð°Ñ Ð¿ÑÐ¾ÑÐ½Ð¾ÑÑÑ
Ð¸Ð½Ð´ÑÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐµ Ð¿ÐµÑÐµÐ½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ñ
Ð½Ð°Ð¿ÑÑÐ¶ÑÐ½Ð½Ð¾ÑÑÑ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ
ÑÐ¾Ðº Ð¼Ð¾Ð»Ð½Ð¸Ð¸
cable insulation
pulse strength
induced overvoltage
electrical field strength
lightning current

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð¸Ð½Ð´ÑÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐµ Ð¿ÐµÑÐµÐ½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ñ, Ð²Ð¾Ð·Ð½Ð¸ÐºÐ°ÑÑÐ¸Ðµ Ð½Ð° Ð¸Ð·Ð¾Ð»ÑÑÐ¸Ð¸ ÐºÐ°Ð±ÐµÐ»ÑÐ½Ð¾Ð¹ Ð»Ð¸Ð½Ð¸Ð¸, Ð¿ÑÐ¾Ð»Ð¾Ð¶ÐµÐ½Ð½ÑÑ Ð¿Ð¾Ð´ Ð·ÐµÐ¼Ð»ÐµÐ¹. ÐÐ°Ð´Ð°ÑÐ¸, ÑÐµÑÐ°ÐµÐ¼ÑÐµ Ð² Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ: 1. ÐÐ½Ð°Ð»Ð¸Ð· ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð´Ð»Ñ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ Ð¸Ð½Ð´ÑÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÑ Ð¿ÐµÑÐµÐ½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ ÐºÐ°Ð±ÐµÐ»ÑÐ½ÑÑ ÑÐ¸ÑÑÐµÐ¼, ÑÐ°ÑÐ¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð½ÑÑ Ð² Ð³ÑÑÐ½ÑÐµ 2. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð´Ð»Ñ ÑÐ°ÑÑÑÑ Ð¸Ð½Ð´ÑÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÑ Ð¿ÐµÑÐµÐ½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹, Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð½Ð° Ð¼ÐµÑÐ¾Ð´Ðµ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² 3. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÐµÑÐµÐ½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð½Ð° Ð¿Ð¾Ð´Ð·ÐµÐ¼Ð½ÑÑ ÐºÐ°Ð±ÐµÐ»ÑÐ½ÑÑ Ð»Ð¸Ð½Ð¸ÑÑ110 ÐºÐ Ð¿ÑÐ¸ ÑÐ´Ð°ÑÐµ Ð¼Ð¾Ð»Ð½Ð¸Ð¸ Ð²Ð±Ð»Ð¸Ð·Ð¸ Ð»Ð¸Ð½Ð¸Ð¸. Ð ÑÐ°Ð±Ð¾ÑÐµ Ð±ÑÐ»Ð° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð° Ð¼Ð¾Ð´ÐµÐ»Ñ, Ð¾ÑÐ¾ÑÐ¼Ð»ÐµÐ½Ð½Ð°Ñ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ð¸ COMSOL Multiphysics. ÐÐ¾Ð´ÐµÐ»Ñ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÑÐµÑ ÑÐ¾Ð±Ð¾Ð¹ Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½ÑÑ Ð¾Ð±Ð»Ð°ÑÑÑ, Ð½Ð°Ð¿Ð¾Ð»Ð½ÐµÐ½Ð½ÑÑ Ð³ÑÑÐ½ÑÐ¾Ð¼, Ð² Ð´Ð°Ð½Ð½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð´Ð¸Ñ ÑÐ°ÑÑÑÑ Ð¸ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð¿Ð¾Ð»ÐµÐ¹, Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÐºÐ¾ÑÐ¾ÑÑÑ Ð² Ð¿ÑÐµÐ´Ð¿Ð¾Ð»Ð°Ð³Ð°ÐµÐ¼Ð¾Ð¼ ÑÐ°ÑÐ¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ð¸ ÐºÐ°Ð±ÐµÐ»Ñ Ð²ÑÑÐ¸ÑÐ»ÑÑÑÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾ÑÑÐµÐ¹, ÑÑÐ¾Ð±Ñ Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ ÑÑÐ°Ð½Ð´Ð°ÑÑÐ½ÑÑ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹, Ð²Ð¾Ð·Ð½Ð¸ÐºÐ°ÑÑÐ¸Ñ Ð½Ð° Ð¸Ð·Ð¾Ð»ÑÑÐ¸Ð¸ ÐºÐ°Ð±ÐµÐ»Ñ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð´Ð¸Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ñ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð¾Ð¹ Ð¿ÑÐ¾ÑÐ½Ð¾ÑÑÑÑ Ð¸Ð·Ð¾Ð»ÑÑÐ¸Ð¸ ÐºÐ°Ð±ÐµÐ»ÑÐ½Ð¾Ð¹ Ð»Ð¸Ð½Ð¸Ð¸. ÐÑÐ» Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð¿ÐµÑÐµÐ½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð½Ð° Ð¸Ð·Ð¾Ð»ÑÑÐ¸Ð¸ ÐºÐ°Ð±ÐµÐ»Ñ Ð¸ Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½ ÑÐ¿Ð¾ÑÐ¾Ð± Ð·Ð°ÑÐ¸ÑÑ ÐºÐ°Ð±ÐµÐ»ÑÐ½ÑÑ Ð»Ð¸Ð½Ð¸Ð¹ Ð¾Ñ Ð¿ÐµÑÐµÐ½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð² Ð²Ð¸Ð´Ðµ ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¸Ñ Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐ¸ÑÐµÐ»ÐµÐ¹ Ð¿ÐµÑÐµÐ½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ñ.
description: In this paper, the induced overvoltageâs arising on the insulation of a cable line laid underground are considered. Tasks to be solved in this work: 1. Analysis of existing models for describing induced overvoltageâs of cable systems located in the ground 2. Development of a computer model for the calculation of induced overvoltageâs based on the finite element method 3. Studies of overvoltageâs on underground 110 kV cable lines when lightning strikes near the line. In the work, a model was built, designed in the COMSOL Multiphysics software. The model is a rectangular area filled with soil, in this area, electromagnetic fields are calculated and constructed, with the help of which the values of stresses are calculated in the intended location of the cable to calculate the values of stresses arising on the cable insulation using standard electromagnetic equations. As a result, the obtained voltages are compared with the impulse strength of the cable line insulation. The analysis of the received overvoltageâs on the cable insulation was carried out and a method for protecting cable lines from overvoltage in the form of setting surge limiters was give.