An Accurate Analytical Model to Evaluate the Winding Loss of A Single-Layer Multi-Turn Planar Air-Core PCB-Inductor

Planar air-core PCB-inductors provide an opportunity to lower the weight and increase the power density of high-frequency switch-mode power applications. The difference between field distribution in cored and air-core inductors makes the conventional winding loss model no longer suitable for planar air-core PCB-inductors. Based on fundamental electromagnetic theory, this paper proposes an accurate 2D model to calculate the winding loss of a single-layer multi-turn planar air-core PCB-inductor by incorporating the 2D edge effect in its formulation. The proposed model's accuracy is validated over a wide frequency range by using 2D FEM simulation and experiment.