Jump to content

File:Skin depth by Zureks.png

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (675 × 670 pixels, file size: 49 KB, MIME type: image/png)

This chart image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}.


It is recommended to name the SVG file “Skin depth by Zureks.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

Summary

Description
English: Skin depth vs. frequency for various materials. The equation used for skin depth calculation was

where: δ - skin depth, ρ = resistivity of the material, ω = angular frequency = 2π × frequency, μ = absolute magnetic permeability (μr×μ0)

The materials are as follows:

  • Mn-Zn - soft ferrite 3C90 from Ferroxcube, initial permeability = 2300 (initial, 25 deg C, 10 kHz) and resistivity = 5 Ωm based on catalogue data [1], such ferrite is not a good conductor so the curve is shown here as dashed, just for demonstration how much better such materials are at higher frequencies
  • Al - aluminium, relative permeability = 1, resistivity = 2.7e-8 Ωm based on data from MatWeb [2]
  • Cu - copper, relative permeability = 1, resistivity = 1.7e-8 Ωm based on data from MatWeb [3]
  • steel 410 - magnetic stainless steel 410, permeability = 1000 and resistivity = 5.7e-7 Ωm based on data from MatWeb [4], the highest value of quoted permeability (1000) is used for "worst case" scenario
  • Fe-Si - grain oriented electrical steel (around 97% Fe and 3% Si) from AK Steel manufacturer, permeability = 29,000 and resistivity = 5e-7 Ωm based on manufacturer bulletin [5], maximum value of permeability is read out from the radial plot and it is used to demonstrate the "worst case" scenario
  • Fe-Ni - permalloy (trade name of VACUUMSCHMELZE GmbH & Co. KG is Mumetall), alloy mainly of Fe (around 20%) and Ni (around 80%), values of permeability = 250,000 [6] and resistivity = 5.5e-7 Ωm [7] are based on the manufacturer data.

Red vertical line indicates 50 Hz frequency.


Русский: Зависимость глубины скин-слоя от частоты для различных материалов. Формула используемая для вычисления толщины скин-слоя:


где – толщина скин-слоя,
– удельное сопротивление материала,
– угловая частота,
– абсолютная магнитная проницаемость
Материалы:
Mn-Zn – магнитомягкий марганцево-цинковый феррит 3C90 с начальной относительной магнитной проницаемостью 2300 (при 25 °C, 10 кГц) и удельным сопротивлением 5 Ом·м, такой феррит имеет низкую электропроводимость, поэтому кривая для него показана здесь пунктиром для иллюстрации насколько лучше такие материалы работают на более высоких частотах.
Al – алюминий, относительная проницаемость = 1, удельное сопротивление = 2,7e-8 Ом·м.
Cu – медь, относительная проницаемость = 1, удельное сопротивление = 1,7e-8 Ом·м.
Сталь 410 – ферромагнитная нержавеющая сталь 410, магнитная проницаемость 1000 и удельное сопротивление = 5,7e-7 Ом·м, самое высокое значение указанной проницаемости 1000 используется для «наихудшего случая».
Fe-Si – текстурированная электротехническая сталь (состав около 97% Fe и 3% Si), проницаемость = 29000 и удельное сопротивление 5e-7 Ом·м, максимальное значение проницаемости используется для демонстрации «наихудшего» случая.
Fe-Ni – пермаллой (торговое наименование VACUUMSCHMELZE GmbH & Co. KG - Mumetall), сплав в основном Fe (около 20 %) и Ni (около 80 %), значения проницаемости = 250 000 и удельного сопротивления = 5,5e-7 Ом·м.

Красной вертикальной линией отмечена частота 50 Гц.
Date
Source Own work
Author Zureks
Other versions
This image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}.

Note: Existing vector data is available from .


It is recommended to name the SVG file “Skin depth by Zureks.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

image/png

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current21:57, 24 February 2011Thumbnail for version as of 21:57, 24 February 2011675 × 670 (49 KB)Zureks{{Information |Description ={{en|1=Skin depth vs. frequency for various materials. The equation used for skin depth calculation was : <math>\delta=\sqrt{{2\rho }\over{\omega\mu}}</math> where: δ - skin depth, ρ = resistivity of the material, ω =

The following page uses this file:

Global file usage

The following other wikis use this file: