diff --git a/paper/paper.tex b/paper/paper.tex index 6cc2d35..aef8e1b 100644 --- a/paper/paper.tex +++ b/paper/paper.tex @@ -586,6 +586,52 @@ performance parameters. \qty{35}{\milli\meter} and inner diameter \qty{15}{\milli\meter}.} \end{table*} +\subsection{Inductance and Frequency Behavior of Larger Coils} + +\begin{table} + \begin{tabular}{cc|cc|ccc|c} + $d_1$& + $d_2$& + $n$& + $k$& + $L$& + $R_\text{ESR}$& + $f_\text{Res}$& + $C_\text{p}$\\ + $\left[\unit{\milli\meter}\right]$& + $\left[\unit{\milli\meter}\right]$& + & + & + $\left[\unit{\micro\henry}\right]$& + $\left[\unit{\ohm}\right]$& + $\left[\unit{\mega\hertz}\right]$& + $\left[\unit{\pico\farad}\right]$\\\hline + $25$&$40$&$1$ &$150$& $5.00$& $11.0$& N/A& N/A\\ + $25$&$40$&$53$ &$1$& $120$& $\mathbf{19.6}$& $18.0$& $0.65$\\ + $25$&$40$&$53$ &$50$& $121$& $22.6$& $\mathbf{27.5}$& $\mathbf{0.28}$\\ + $25$&$40$&$53$ &$100$& $123$& $26.9$& $26.5$& $0.29$\\ + $25$&$40$&$53$ &$150$& $\mathbf{125}$& $33.2$& $24.0$& $0.35$\\\hline + $50$&$65$&$1$ &$300$& $10.2$& $21.9$& N/A& N/A\\ + $50$&$65$&$53$ &$1$& $270$& $\mathbf{35.7}$& $10.0$& $0.94$\\ + $50$&$65$&$53$ &$100$& $272$& $41.9$& $\mathbf{15.8}$& $\mathbf{0.37}$\\ + $50$&$65$&$53$ &$200$& $277$& $50.1$& $13.3$& $0.52$\\ + $50$&$65$&$53$ &$300$& $\mathbf{280}$& $65.0$& $13.8$& $0.48$\\\hline + $75$&$90$&$1$ &$480$& $17.3$& $35.5$& N/A& N/A\\ + $75$&$90$&$53$ &$1$& $441$& $\mathbf{50.7}$& $7.00$& $1.17$\\ + $75$&$90$&$53$ &$160$& $444$& $60.8$& $\mathbf{10.0}$& $\mathbf{0.57}$\\ + $75$&$90$&$53$ &$320$& $461$& $76.2$& $8.75$& $0.72$\\ + $75$&$90$&$53$ &$480$& $\mathbf{470}$& $92.9$& $8.00$& $0.84$\\ + \end{tabular} + \caption{Inductor sample design parameters and measured characteristics for a number of physically larger, + ring-shaped inductors. $L$ and $R_\text{ESR}$ have been measured with a Keysight U1733C handheld LCR meter. + $f_\text{Res}$ has been measured with a LiteVNA VNA. $C_p$ has been calculated for the simple parallel LC resonator + model from $f_\text{Res}$ and $L$. $f_\text{Res}$ could not be measured for the $n=1$ case since these are just + planar toroidal inductors, which show different resonance characteristics compared to planar spiral or multi-turn + twisted inductors.} + \label{tab_wide_coils} +\end{table} + + \subsection{Coupling and its Sensitivity to Radial Offset} The key performance criterion in our application is the voltage ripple that appears on the secondary side of a WPT link