Abstract-This paper presents a design procedure for inductors based on low-permeability magnetic materials, for use in very high frequency (VHF) power conversion. The proposed procedure offers an easy and fast way to compare different magnetic materials based on Steinmetz parameters and quickly select the best among them, to estimate the achievable inductor quality factor and size, and to design the inductor. Approximations used in the proposed methods are discussed. Geometry optimization of magnetic-core inductors is also investigated. The proposed design procedure and methods are verified by experiments.
I. BACKGROUNDThere is a growing interest in switched-mode power electronics capable of efficient operation at very high switching frequencies (e.g., 10-100 MHz) [ (which utilize high frequency operation to achieve small size and fast transient response.) These designs utilize magnetic components operating at high frequencies, and often under large flux swings. These magnetic components should have a high quality factor to achieve high efficiency power conversion. Unfortunately, most high-permeability magnetic materials exhibit unacceptably high losses at frequencies above a few megahertz. There are some low-permeability materials (e.g., relative permeabilities in the range of 4-40) that can be used effectively at moderate flux swings at frequencies up to many tens of megahertz [22]-[24]. However, working with such low-permeability materials -and the ungapped core structures they are typically available in -presents somewhat different constraints and challenges than with typical highpermeability low-frequency materials [25]. Because of VHF operation and the low-permeability characteristics of such materials, the operating flux density is limited by core loss rather than saturation, and a gap is not necessary to prevent the core from saturating in many applications. Without a gap, the core loss begins to dominate the total loss and copper loss can be ignored in many cases. The performance of a VHF magnetic-core inductor thus depends heavily on the loss characteristics of the magnetic material. Moreover, there appears to be a lack of good design procedures for a selecting among low-permeability magnetic materials and available core sizes. This paper, which expands upon an earlier conference paper [26], investigates a design procedure for inductors using low-permeability magnetic materials. This method is based on knowledge of the material loss characteristics, such as collected in [22], [24], and is particularly suited for VHF inductor designs. With the methods developed here, different magnetic materials are compared fairly and conveniently, and both the achievable quality factor and size of a magnetic-core inductor can be evaluated before the final design.Section II of the paper introduces the inductor design considerations and questions to be addressed. Section III illustrates the inductor design procedure and methods employed in it. Section IV shows some experimental results to verify the design procedure. Se...