title: ÐÑÐµÐ½ÐºÐ° Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¸Ð½Ð´ÑÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ Ð½Ð°ÐºÐ¾Ð¿Ð¸ÑÐµÐ»Ñ Ð³Ð¸Ð³Ð°Ð´Ð¶Ð¾ÑÐ»ÑÐ½Ð¾Ð³Ð¾ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ð° Ñ ÑÐ°ÑÑÐ¸ÑÐ½Ð¾ Ð±ÐµÑÑÐ¸Ð»Ð¾Ð²Ð¾Ð¹ Ð¾Ð±Ð¼Ð¾ÑÐºÐ¾Ð¹
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: Estimation of the parameters of the inductive storage of a gigajoule capacitor with a partial powerless winding
Creators: name: ÐÐºÑÐ»ÐµÐ½ÐºÐ¾, ÐÐ»ÐµÐºÑ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: ÑÐ¸ÑÑÐµÐ¼Ñ Ñ ÑÐ°Ð½ÐµÐ½Ð¸Ñ ÑÐ½ÐµÑÐ³Ð¸Ð¸
Ð½Ð°ÐºÐ¾Ð¿Ð¸ÑÐµÐ»Ñ ÑÐ½ÐµÑÐ³Ð¸Ð¸
ÑÐ²ÐµÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´ÑÑÐ¸Ð¹ Ð¸Ð½Ð´ÑÐºÑÐ¸Ð²Ð½ÑÐ¹ Ð½Ð°ÐºÐ¾Ð¿Ð¸ÑÐµÐ»Ñ ÑÐ½ÐµÑÐ³Ð¸Ð¸
Ð±ÐµÑÑÐ¸Ð»Ð¾Ð²Ð°Ñ Ð¾Ð±Ð¼Ð¾ÑÐºÐ°
ÐºÐ²Ð°Ð·Ð¸-Ð±ÐµÑÑÐ¸Ð»Ð¾Ð²Ð°Ñ Ð¾Ð±Ð¼Ð¾ÑÐºÐ°
Ð²Ð¾Ð·Ð¾Ð±Ð½Ð¾Ð²Ð»ÑÐµÐ¼ÑÐµ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¸ ÑÐ½ÐµÑÐ³Ð¸Ð¸
ÑÐ°ÑÑÐ¾ÑÐ½Ð¾Ðµ ÑÐµÐ³ÑÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÑÐ½Ð¾Ðº ÑÐ»ÐµÐºÑÑÐ¾ÑÐ½ÐµÑÐ³Ð¸Ð¸
energy storage systems
energy storage device
superconducting inductive energy storage device
powerless winding
quasi-powerless winding
renewable energy sources
frequency control
electricity market

description: ÐÐ±ÑÐµÐºÑÐ¾Ð¼ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð»ÑÐµÑÑÑ ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´ÑÑÐ¸Ð¹ Ð¸Ð½Ð´ÑÐºÑÐ¸Ð²Ð½ÑÐ¹ Ð½Ð°ÐºÐ¾Ð¿Ð¸ÑÐµÐ»Ñ Ð³Ð¸Ð³Ð°Ð´Ð¶Ð¾ÑÐ»ÑÐ½Ð¾Ð³Ð¾ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ð° Ñ ÑÐ°ÑÑÐ¸ÑÐ½Ð¾ Ð±ÐµÑÑÐ¸Ð»Ð¾Ð²Ð¾Ð¹ Ð¾Ð±Ð¼Ð¾ÑÐºÐ¾Ð¹. Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ â ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÐºÐ¾Ð½ÑÐµÐ¿ÑÐ¸Ð¸ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ, Ñ Ð¿Ð¾Ð½Ð¸Ð¶ÐµÐ½Ð½ÑÐ¼Ð¸ Ð¼ÐµÑÐ°Ð½Ð¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸ÑÐ¼Ð¸ Ð´Ð»Ñ ÑÐµÐ»ÐµÐ¹ ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ñ ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´ÑÑÐ¸Ñ Ð¸Ð½Ð´ÑÐºÑÐ¸Ð²Ð½ÑÑ Ð½Ð°ÐºÐ¾Ð¿Ð¸ÑÐµÐ»ÐµÐ¹. ÐÐ»Ñ ÑÐ°ÑÑÐµÑÐ° ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´ÑÑÐµÐ³Ð¾ Ð¸Ð½Ð´ÑÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ Ð½Ð°ÐºÐ¾Ð¿Ð¸ÑÐµÐ»Ñ ÑÐ½ÐµÑÐ³Ð¸Ð¸ Ð±ÑÐ»Ð° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð° Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐ¾ÑÐ¾Ð¸Ð´Ð°Ð»ÑÐ½Ð¾Ð¹ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ COMSOL Multiphysics. ÐÑÐ»Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ ÐºÐ°ÑÑÐ¸Ð½Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð¿Ð¾Ð»ÐµÐ¹ Ð´Ð»Ñ Ð¿Ð¾Ð»Ð¾Ð¸Ð´Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¸ ÑÐ¾ÑÐ¾Ð¸Ð´Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ, Ð¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð¿Ð¾Ð»Ð½Ð¾Ð³Ð¾, Ð¿Ð¾Ð»Ð¾Ð¸Ð´Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¸ ÑÐ¾ÑÐ¾Ð¸Ð´Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐ¾ÐºÐ° Ð¿ÑÐ¸ Ð¿Ð¾ÑÑÐ¾ÑÐ½Ð½Ð¾Ð¼ Ð¿Ð¾ ÑÐ¾Ð»ÑÐ¸Ð½Ðµ Ð¾Ð±Ð¼Ð¾ÑÐºÐ¸ Ð½Ð°ÐºÐ»Ð¾Ð½Ð° Ð»ÐµÐ½ÑÐ¾ÑÐ½Ð¾Ð³Ð¾ ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ°. Ð Ð¸ÑÐ¾Ð³Ðµ Ð² ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð½Ð¾Ð¼ ÐºÐ¾Ð½ÑÐµÐ¿ÑÐµ Ð±ÑÐ»Ð° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð° ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´ÑÑÐ°Ñ ÐºÐ²Ð°Ð·Ð¸Ð±ÐµÑÑÐ¸Ð»Ð¾Ð²Ð°Ñ ÑÐ¾ÑÐ¾Ð¸Ð´Ð°Ð»ÑÐ½Ð°Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð°Ñ ÑÐ¸ÑÑÐµÐ¼Ð° Ñ Ð³Ð°Ð±Ð°ÑÐ¸ÑÐ°Ð¼Ð¸ 14Ã4Ã4 Ð¼3, ÐºÐ¾ÑÐ¾ÑÐ°Ñ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ Ð·Ð°Ð¿Ð°ÑÐ°ÑÑ Ð² Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¼ Ð¿Ð¾Ð»Ðµ 2,4 ÐÐÐ¶. ÐÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ðµ ÐºÐ²Ð°Ð·Ð¸Ð±ÐµÑÑÐ¸Ð»Ð¾Ð²Ð¾Ð¹ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¸ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ ÑÑÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾ ÑÐ²ÐµÐ»Ð¸ÑÐ¸ÑÑ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ Ð½Ð°ÐºÐ¾Ð¿Ð¸ÑÐµÐ»Ñ, ÑÑÐ¾ Ð´Ð°ÐµÑ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑ Ð¼Ð¾Ð´ÐµÑÐ½Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°ÑÑ ÑÐ¶Ðµ Ð´ÐµÐ¹ÑÑÐ²ÑÑÑÐ¸Ðµ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ COMSOL, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ Ð½Ðµ ÑÐ¾Ð»ÑÐºÐ¾ ÑÐ°ÑÑÑÐ¸ÑÐ°ÑÑ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ Ð±ÑÐ´ÑÑÐµÐ³Ð¾ Ð½Ð°ÐºÐ¾Ð¿Ð¸ÑÐµÐ»Ñ, Ð½Ð¾ Ð¸ Ð¿Ð¾Ð´Ð¾Ð±ÑÐ°ÑÑ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ñ, Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼ÑÑ Ð´Ð»Ñ ÐºÐ¾Ð½ÐºÑÐµÑÐ½Ð¾Ð¹ ÑÐµÐ»Ð¸ Ð·Ð°ÐºÐ°Ð·ÑÐ¸Ðº.
description: The purpose of the work is to develop the concept of a magnetic system with reduced mechanical stresses for the purpose of creating superconducting inductive storages. To calculate the characteristics of a superconducting inductive energy storage device, a model of a toroidal installation was built in the COMSOL Multiphysics program. The patterns of magnetic fields for the poloidal and toroidal fields, and the distribution of the density of the total, poloidal and toroidal current were obtained for a tape superconductor tilt constant across the thickness of the winding. As a result, in the considered concept, a superconducting quasi-forceless toroidal magnetic system with dimensions of 14Ã4Ã4 m3 was built, which allows storing 2.4 GJ in a magnetic field. The use of a quasi-powerless installation makes it possible to significantly increase the efficiency of accumulation, which makes it possible to modernize existing installations. The developed model in the COMSOL program allows not only to calculate the characteristics of the future drive, but also to choose the option chosen for the specific purpose of the customer.