A detailed study of Qdc of 3D micro air-core inductors for integrated power supplies: Power supply in package (PSiP) and power supply on chip (PSoC)

Abstract

• A sensitivity analysis is carried out to understand the impact of various design parameters on the Q d c of 3D inductors. • The solenoid and the toroid inductors are implemented on a PCB of size 5 mm × 5 mm to demonstrate the research findings. • The design and analysis presented in this work help in the optimization of the performance of 3D inductors. This work presents the impact of design parameters such as the number of turns, pitch, height, conductor dimensions, etc., on the dc ratio of inductance to resistance ( L d c / R d c ) (also known as dc quality factor Q d c ) of 3D micro air-core inductors. We consider two well-known traditional inductors for the illustration: the toroid and the solenoid. We evaluate the performance of these inductors with respect to Q d c over a wide range of design parameters. To demonstrate our research findings, we have implemented the solenoid and toroid inductors on a PCB of size 5 mm × 5 mm.