Analysis of effective resistance and eddy-current losses in multiturn winding of high-frequency magnetic components

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An improved calculation of proximity-effect loss in high-frequency windings of round conductors (2003, methodology): “In this paper, we use a similar approach to [15], simulating a single wire with symmetry boundary conditions to find its behavior in a winding.”
Optimal Design and Tradeoff Analysis of Planar Transformer in High-Power DC–DC Converters (2012, background): “The papers [7]–[9] analyze and improve the ac resistance expression specifically for different situations.”
An Equivalent Complex Permeability Model for Litz-Wire Windings (2005, background): “The proximity-effect loss factor describes the eddy current loss caused by an external time-varying field in a conductor matrix consisting of repeating cells of round conductors (with space between each).”
Frequency-dependent resistance in Litz-wire planar windings for domestic induction heating appliances (2006, methodology): “The ac losses in Litz wire used in components for SMPS have been analyzed in different ways: — using the finite element analysis (FEA) [4]–[6], applied principally to high frequency transformers; — using analytical models [7]–[10].”