2D Copper Loss Analytical Model for Planar Inductor Combining High and Low Permeability Materials

Abstract:
Blocks of low permeability magnetic materials can be used to effectively replace lumped airgaps in planar inductors. With this solution, a significant reduction of High Frequency (HF) copper losses can be obtained compared to standard planar E and Plate (PLT) core-based inductors with airgap. In order to estimate HF copper losses in such gapless planar inductors, a 2D copper loss model based on analytical equations is developed in this paper. The results are compared to the well-known 1D Dowell model and finite element (FEA) simulations to show its benefits and limitations on Planar inductors.