File:Skin depth by Zureks-en.svg

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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.
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Source File:Skin depth by Zureks.png by Zureks
Author Д.Ильин: vectorization, translation
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