Abstract
The aim of this paper is to compare the performance of planar toroidal inductors and circular spiral inductors in multilayered technologies, in terms of achievable inductance density. New multi-winding toroidal inductor geometry is proposed to cover as much of the integration area as possible with the component footprint. The optimization of planar multi-winding toroidal inductors in multilayered substrates is investigated theoretically, and closed formulae are derived for their inductances as a function of geometrical parameters for any given value of the number of windings in the coil. The model obtained is validated experimentally and through electromagnetic simulation. Comparing the inductance of multi-winding toroidal inductors and compact spiral inductors allows us to update previously reported selection rules for the most suitable topology that leads to the most compact design.
Highlights
In our previous work [1], we presented an study of embedded toroidal inductors used in multilayered technologies
The selection criteria, established in our previous work, to decide whether to use a planar spiral inductor or a toroidal inductor for a given application have been updated to account for multiwinding geometries
If the aspect ratio of the inductor is greater than this upper threshold, the planar spiral inductor outperforms any multiwinding toroidal inductor
Summary
In our previous work [1], we presented an study of embedded toroidal inductors used in multilayered technologies. Some work concerning the modeling, electromagnetic (EM) simulation, and microfabrication of toroidal inductors has been published since by other authors, [2]–[5] All of it considers the simple single-winding toroidal inductor geometry. Our aim is to increase the coverage of the available integration area with the toroidal footprint as much as possible and to compare these new candidate geometries with the compact planar spiral inductor. Optimum inductor geometries that maximize the achievable inductance density are proposed for each value of the number of windings, m.
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