The Conductor
Selection and Use Directions for Magnet Wire
With proper Litz wire design, it is possible to minimize both types of skin effect losses. Strand level skin effect losses can be minimized by selecting an individual strand size whose diameter is smaller than two times the skin depth at the operating frequency, or the effective frequency in the case of non-sinusoidal currents. See the first equation below for calculating the skin depth.
Minimizing bundle level skin effect losses is a bit more complicated. Bundle-level skin-effect losses become significant when the diameter of the overall Litz conductor is greater than two times the skin depth. When that is the case, bundle-level skin effect losses can be minimized by breaking the Litz conductor up into smaller bundles and twisting those smaller bundles together in specific arrangements.
To determine if it is necessary to break a Litz conductor up into smaller bundles you must first calculate the maximum number of strands that should be bunched in a single operation. Sullivan and Zhang1 developed the following equation (see equation 2 below) for calculating the maximum number of strands n1,max that can be bunched in a single operation before the diameter of the bundle exceeds two times the skin depth.
d = Skin Depth (m)
f = frequency (Hz)
p = Resistivity of conductor material (O*m)
µ0 = permeability of free space (4×10-7p H/m)
ds = Diameter of an individual strand (m)
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Equations 1 & 2: Calculating the skin depth and the maximum number of strands that should be bunched in a single operation for Litz Wire
Source: C. R. Sullivan and R. Y. Zhang, "Simplified Design Method for Litz Wire"
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