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@ -839,21 +839,8 @@ for $k=7$ inversions.
As part of our inductor design tool, we extended the EDA file format library gerbonara with code to automatically map
gerbonara's geometry description to the gmsh FEM mesher. This code may be of independent interest since it allows for
the extraction of FEM meshes from PCBs in any file format supported by gerbonara such as KiCad's native file format, as
well as the Gerber file format supported by the majority of EDA tools.
In the measurements we performed on our set of test inductors, we observed that while at the dimensions we chose, a
twisted inductor has slightly lower inductance by \qty{2.0}{\percent} for $n=2$, or \qty{0.11}{\percent} for $n=25$,
when compared to a simple two-layer planar spiral inductor, its inductance \emph{increases} with increasing inversion
count $k$. In one of our test coupons with $(n, k)=(25, 37)$, we even measured \emph{higher} inductance compared to a
simple two-layer planar spiral inductor. We suspect that this increase in inductance is due to the twists of our twisted
inductor effectively forming the structure of a planar toroidal inductor, with twisted inductors with $k\gg n$
approximating planar toroidal inductors. In particular, except for the slight curvature of our twisted inductor's
traces, a twisted inductor with $(n, k)=(1, n')$ \emph{is} effectively a planar toroidal inductor with turn count $n'$.
We suspect that for some choices of parameters, this effect might lead to an appreciable increase in useful inductance
as well as potentially interesting high-frequency behavior, and we aim at producing additional simulations and new
measurements for some of these choices of parameters in a future paper.
the extraction of FEM meshes from not just individual planar components, but PCBs in any file format supported by
gerbonara such as KiCad's native file format, as well as the Gerber file format supported by the majority of EDA tools.
\section{Conclusion}