Determination of winding losses in magnetic integrated inductors and separate skin and proximity effects, magnetic and copper losses and study of evolution of the losses

Losses within magnetic single layer inductors are represented by the dependent frequency resistance that is determined from simulated or measured scattering matrix parameters using admittance method described in [1]. In this method, losses are represented by the calculated or measured resistance RDC at low frequencies, by the resistance calculated from admittance Y
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at medium frequencies, and by the resistance obtained at resonant frequency in high frequencies. Once calculated, losses origins will be identified and then separated in two parts: losses due to skin and proximity effects and magnetic and copper losses.