title: Ð­ÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½Ð¾-ÑÐ°ÑÑÐµÑÐ½Ð¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ¾ÐºÐ° Ñ Ð´ÐµÑÐµÐºÑÐ¾Ð¼ Ð½Ð° ÑÐ¾ÑÑÐµ ÑÐ¾ÐºÐ¾Ð²ÐµÐ´ÑÑÐµÐ¹ ÑÐ¸Ð½Ñ
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: Experimental and computational study of pulsed current interaction with a defect on the end of current-carrying busbar
Creators: name: ÐÑÐºÐ¾Ð², ÐÐ¼Ð¸ÑÑ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: 2022
Subjects: Ð­Ð»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ¾Ðº
Ð¸Ð½ÑÐµÐ³ÑÐ°Ð» Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ
ÑÑÑÐµÐºÑ Ð¿Ð¸Ð»Ñ
Ð´Ð²ÑÐ¼ÐµÑÐ½Ð°Ñ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ Ð´Ð¸ÑÑÑÐ·Ð¸Ñ
ÑÐºÐ¸Ð½-ÑÑÑÐµÐºÑ
ÑÑÐ°ÐºÑÐ°Ð»ÑÐ½Ð°Ñ ÑÐ°Ð·Ð¼ÐµÑÐ½Ð¾ÑÑÑ
action integral
effect of saw
two-dimensional nonlinear diffusion
skin effect
fractal dimensionality

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: âÐ­ÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½Ð¾-ÑÐ°ÑÑÑÑÐ½Ð¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ¾ÐºÐ° Ñ Ð´ÐµÑÐµÐºÑÐ¾Ð¼ Ð½Ð° ÑÐ¾ÑÑÐµ ÑÐ¾ÐºÐ¾Ð²ÐµÐ´ÑÑÐµÐ¹ ÑÐ¸Ð½Ñâ. ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ¾ÐºÐ° Ð² Ð¿Ð»Ð¾ÑÐºÐ¾Ð¹ ÑÐ¾ÐºÐ¾Ð²ÐµÐ´ÑÑÐµÐ¹ ÑÐ¸Ð½Ðµ Ñ Ð´ÐµÑÐµÐºÑÐ¾Ð¼ Ð² Ð²Ð¸Ð´Ðµ ÑÑÐµÑÐ¸Ð½Ñ. 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: ÐÐ·ÑÑÐµÐ½Ð¸Ðµ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ ÑÐ¾ÐºÐ° Ð² Ð¿Ð»Ð¾ÑÐºÐ¾Ð¹ ÑÐ¸Ð½Ðµ Ð±ÐµÐ· ÑÑÐµÑÐ° Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð¸ Ð½Ð°Ð³ÑÐµÐ²Ð°. ÐÐ·ÑÑÐµÐ½Ð¸Ðµ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ ÑÐ¾ÐºÐ° Ð¸ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð² Ð¿Ð»Ð¾ÑÐºÐ¾Ð¹ ÑÐ¸Ð½Ðµ Ñ ÑÑÐµÑÐ¾Ð¼ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ, Ð½Ð°Ð³ÑÐµÐ²Ð°, Ð¼ÐµÑÐ°Ð½Ð¸ÐºÐ¸ Ð¸ Ð¿Ð»Ð°ÑÑÐ¸ÑÐ½Ð¾ÑÑÐ¸. Ð¡ÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¸ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ° ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐ¼Ð¸ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ Comsol Multiphysics 5.4. ÐÐ½Ð°Ð»Ð¸Ð· Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸Ð¸ Ð½Ð¾Ð²Ð¾Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð² Ð¿Ð»Ð¾ÑÐºÐ¾Ð¹ ÑÐ¸Ð½Ðµ Ñ Ð´ÐµÑÐµÐºÑÐ¾Ð¼ Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐµÐ¶Ð¸Ð¼Ð°Ñ Ð½Ð°Ð³ÑÑÐ¶ÐµÐ½Ð¸Ñ. Ð Ð°Ð±Ð¾ÑÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð½Ð° ÑÐµÑÑÐ¸ÑÐ¾ÑÐ¸Ð¸ Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¾Ð³Ð¾ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑÐ° ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾, Ð³Ð´Ðµ ÑÐ¾Ð±Ð¸ÑÐ°Ð»Ð°ÑÑ Ð·Ð½Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð°Ñ ÑÐ°ÑÑÑ ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°: ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¸ÑÐ¿ÑÑÐ°Ð½Ð¸Ð¹ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ¾Ð¼ ÑÐ¾ÐºÐ° Ð¿Ð»Ð¾ÑÐºÐ¾Ð¹ Ð±ÑÐ¾Ð½Ð·Ð¾Ð²Ð¾Ð¹ ÑÐ¸Ð½Ñ Ñ Ð´ÐµÑÐµÐºÑÐ¾Ð¼ Ð² Ð²Ð¸Ð´Ðµ ÑÑÐµÑÐ¸Ð½Ñ. ÐÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ°ÑÑÐµÑÑ, Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑÐ¸Ðµ Ð½Ð°Ð³Ð»ÑÐ´Ð½Ð¾, ÐºÐ°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼ ÑÐ¾ÑÐ¼Ð¸ÑÑÐµÑÑÑ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ðµ Ð² Ð¿Ð»Ð¾ÑÐºÐ¾Ð¹ ÑÐ¸Ð½Ðµ Ñ Ð´ÐµÑÐµÐºÑÐ¾Ð¼. ÐÐ½Ð°Ð»Ð¸Ð· Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ Comsol Multiphysics 5.4, Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐµÑÑÑÑÐ¾Ð² ÑÑÐ¿ÐµÑÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ð³Ð¾ ÑÐµÐ½ÑÑÐ° âÐÐ¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹â: RSC Tornado (Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ Ð¾Ð´Ð½Ð¾Ð³Ð¾ ÑÐ·Ð»Ð° 2ÑCPU with 14 cores (2xXeone5-2697v3 2.6 GHz 64 GBRAM)). Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¸ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ñ Ð¿ÑÐ¾ÑÐµÑÑÑ, ÑÐ¾Ð¿ÑÑÑÑÐ²ÑÑÑÐ¸Ðµ Ð¿ÑÐ¾ÑÐµÐºÐ°Ð½Ð¸Ñ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ° ÑÐ¾ÐºÐ°, Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐµÑÐ¼Ð¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐ°ÑÑÐµÑÑ. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸, Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑÐ¸Ðµ Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¸ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ðµ Ð½Ð°Ð³ÑÐµÐ²Ð° Ð»Ð¾ÐºÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ°ÑÑÐºÐ°, Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ¾Ð¹, Ð¿ÑÐµÐ²ÑÑÐ°ÑÑÐµÐ¹ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð¿Ð»Ð°Ð²Ð»ÐµÐ½Ð¸Ñ.
description: The topic of graduate qualification work: "Experimental and computational study of pulsed current interaction with a defect on the end of current-carrying busbar". This work is devoted to the study of impulse current in a flat current-carrying busbar with a defect in the form of a crack. The tasks that were solved in the course of the study were: 1. To study the peculiarities of current density distribution in a flat busbar without taking into account the magnetic field and heating. 2. To Study the peculiarities of current density and pressure distribution in flat tire, taking into account the magnetic field, heating, mechanics and plasticity. 3. Comparison on the basis of experimental results and results of numerical simulation obtained in the program Comsol Multiphysics 5.4. 4. Analysis of geometry of neoplasms in a flat tire with a defect under different modes of loading. The work was carried out on the territory of St. Petersburg Polytechnic University Peter the Great, where a significant part of factual material was collected: the results of current pulse tests of flat bronze tire with a defect in the form of a crack. Calculations were made to show visually how pressure is formed in a flat tire with a defect. The analysis was performed by mathematical modeling using Comsol Multiphysics 5.4 software, using the resources of the Polytechnic Supercomputer Center: RSC Torna-do (single node parameters 2xCPU with 14 cores (2xXeone5-2697v3 2.6 GHz 64 GBRAM)). As a result, the processes accompanying the current pulse were analyzed and thermodynamic calculations were performed. Models showing the formation and development of heating of the local area, with a temperature higher than the melting temperature, were built.