title: Ð Ð°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÑÐ¾ÐºÐ¾Ð² Ð² Ð¿ÑÐ¾Ð²Ð¾Ð´Ðµ Ð²Ð¾Ð·Ð´ÑÑÐ½Ð¾Ð¹ Ð»Ð¸Ð½Ð¸Ð¸
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: Current distribution in overhead conductor
Creators: name: Ð¡ÐºÐ¾ÑÐºÐ¾, ÐÐ³Ð¾Ñ
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: 2021
Subjects: ÐÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ·ÑÐºÐ¸
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description: ÐÐ°Ð½Ð½Ð°Ñ Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð° Ð½Ð° ÑÐµÐ¼Ñ: Â«Ð Ð°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÑÐ¾ÐºÐ¾Ð² Ð² Ð¿ÑÐ¾Ð²Ð¾Ð´Ðµ Ð²Ð¾Ð·Ð´ÑÑÐ½Ð¾Ð¹ Ð»Ð¸Ð½Ð¸Ð¸Â» Ð¸ Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐ¾ÐºÐ¾Ð² Ð²Ð½ÑÑÑÐ¸ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð° Ñ ÑÑÑÑÐ¾Ð¼ ÑÐºÐ¸Ð½-ÑÑÑÐµÐºÑÐ°. Ð Ð°Ð±Ð¾ÑÐ° Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð° Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ·ÑÐºÐ° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Python 3 Ð¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ ÐºÐ¾Ð½ÐµÑÐ½Ð¾-ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ FreeFem++ Ð²ÐµÑÑÐ¸Ð¸ 4.8. Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¿Ð¾Ð´ÑÐ¾Ð±Ð½Ð¾ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÑÐ¾ÐºÐ° Ñ ÑÑÑÑÐ¾Ð¼ Ð¸ Ð±ÐµÐ· ÑÑÑÑÐ° ÑÐºÐ¸Ð½-ÑÑÑÐµÐºÑÐ° Ð²Ð½ÑÑÑÐ¸ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð° ÐÐ. ÐÑÐ»Ð¸ ÑÐ¾ÑÑÐ°Ð²Ð»ÐµÐ½Ñ Ð¸ ÑÑÐ°Ð²Ð½ÐµÐ½Ñ Ð¼ÐµÐ¶Ð´Ñ ÑÐ¾Ð±Ð¾Ð¹, Ð° ÑÐ°ÐºÐ¶Ðµ Ñ Ð¸Ð·Ð²ÐµÑÑÐ½ÑÐ¼ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ð¼ ÑÐµÑÐµÐ½Ð¸ÐµÐ¼, ÑÐ»ÐµÐ´ÑÑÑÐ¸Ðµ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸: Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð° Ñ ÐºÑÑÐ³Ð»ÑÐ¼ ÑÐµÑÐµÐ½Ð¸ÐµÐ¼, Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð° Ñ ÑÑÑÑÐ¾Ð¼ ÑÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐ´ÐµÑÐ½Ð¸ÐºÐ° Ð² Ð²Ð¸Ð´Ðµ ÑÐ¸ÑÑÐµÐ¼Ñ Ð´Ð²ÑÑ ÑÐ¾Ð¾ÑÐ½ÑÑ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¾Ð² Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð° Ñ ÑÑÑÑÐ¾Ð¼ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð°. Ð¡ÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð¸Ð»Ð¾ÑÑ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð´Ð°Ð½Ð½ÑÑ ÐÐÐ¡Ð¢ 839-2019 Â«ÐÑÐ¾Ð²Ð¾Ð´Ð° Ð½ÐµÐ¸Ð·Ð¾Ð»Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐµ Ð´Ð»Ñ Ð²Ð¾Ð·Ð´ÑÑÐ½ÑÑ Ð»Ð¸Ð½Ð¸Ð¹ ÑÐ»ÐµÐºÑÑÐ¾Ð¿ÐµÑÐµÐ´Ð°ÑÐ¸. Ð¢ÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÑÐ»Ð¾Ð²Ð¸ÑÂ», ÑÑÐ¾Ð±Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð±ÑÐ»Ð¾ Ð¿ÑÐµÐ´Ð¼ÐµÑÐ½ÑÐ¼, Ð° Ð½Ðµ ÑÐ¸ÑÑÐ¾ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¼. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¾ Ð²ÑÑÐ²Ð»ÐµÐ½Ð¾, ÑÑÐ¾ ÐºÐ°ÑÑÐ¸Ð½Ð° ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐ¾ÐºÐ¾Ð² Ð² Ð¿ÑÐ¾Ð²Ð¾Ð´Ðµ ÐÐ ÑÑÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾ Ð¾ÑÐ»Ð¸ÑÐ°ÐµÑÑÑ Ð¾Ñ ÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾Ð³Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ, Ð¿ÑÐ¸ÑÑÐ¼ Ñ ÑÐ¾ÑÑÐ¾Ð¼ Ð´Ð¸Ð°Ð¼ÐµÑÑÐ°, Ð° ÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾ Ð¸ ÑÐµÑÐµÐ½Ð¸Ñ ÑÑÐ° ÑÐ°Ð·Ð½Ð¸ÑÐ° Ð²ÑÑÐ°ÑÑÐ°ÐµÑ, Ð´Ð¾ÑÑÐ¸Ð³Ð°Ñ 50% Ð¸ Ð±Ð¾Ð»ÐµÐµ Ð² ÑÑÐ´Ðµ ÑÐ»ÑÑÐ°ÐµÐ². ÐÐ· ÑÑÐ¾Ð³Ð¾ Ð´ÐµÐ»Ð°ÐµÑÑÑ Ð²ÑÐ²Ð¾Ð´, ÑÑÐ¾ ÑÑÑÑ ÑÐµÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐ¾ÐºÐ¾Ð² Ð² Ð¿ÑÐ¾Ð²Ð¾Ð´Ðµ ÐÐ Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼.
description: The topic of this graduate qualification paper is âCurrent distribution in overhead conductorâ. The object of this study is a research current distribution inside wire with skin-effect. The thesis was performed using the programming languages Python 3 and FreeFem++ v4.8, which uses the finite element method. In this paper thorough research of current distribution was considered for overhead conductors with and without skin-effect. Numerical solutions of current distribution were compiled and compared with each other and with theoretical solution. The following numerical models were considered: a model of a cylindrical conductor with circular cross section, model of a conductor with steel core as coaxial cylinder and model of conductor taking into account his construction. The comparison was made on the basis of data of GOST 839-2019 (Russian equivalent of EN 50182), describing bare wires, used on the overhead line, so that comparison was subject, but not purely theoretical. It can be concluded that current distribution in overhead conductor differ significantly from the uniform distribution, and with the increasing diameter the difference grows, reaching 50% and more in a number of cases. These findings make it possible to conclude that it is necessary to consider the real current distribution in overhead conductor.