annotate tables
This commit is contained in:
jaseg
parent
0ee750496f
commit
53a9b9f87c
1 changed files with 63 additions and 33 deletions
|
|
@ -19,6 +19,7 @@
|
|||
\DeclareSIUnit{\year}{a}
|
||||
\usepackage{commath}
|
||||
\usepackage{graphicx,color}
|
||||
\usepackage{colortbl}
|
||||
\usepackage{subcaption}
|
||||
\usepackage{array}
|
||||
\usepackage{censor}
|
||||
|
|
@ -594,35 +595,48 @@ performance parameters.
|
|||
$f_\text{res} \left[\unit{\mega\hertz}\right]$&
|
||||
$R_\text{meas} \left[\unit{\ohm}\right]$\\\hline
|
||||
|
||||
$1$& $0$& $0.03$& $-86.2$& $0.0076$& $-86.8$& $0.038$& $-42.1$& $0.008$& $-77.5$& $0.054$& $457.585$&$0.0142$\\
|
||||
$1$& $3$& $0.03$& $-93.1$& $0.0095$& $-49.9$& $0.039$& $-43.6$& $0.008$& $-78.8$& $0.056$& $465.07$& $0.0143$\\
|
||||
$1$& $4$& $0.03$& $-103.4$& $0.0108$& $-38.6$& $0.040$& $-47.5$& $0.008$& $-87.5$& $0.059$& $460.08$& $0.015$\\
|
||||
$1$& $5$& $0.03$& $-89.7$& $0.0123$& $-35.3$& $0.041$& $-34.1$& $0.009$& $-84.4$& $0.055$& $460.08$& $0.0166$\\\hline
|
||||
$2$& $0$& $0.16$& $10.0$& $0.0252$& $-26.7$& $0.126$& $-14.3$& $0.026$& $-22.7$& $0.144$& $266.24$& $0.0319$\\
|
||||
$2$& $1$& $0.12$& $-28.4$& $0.0253$& $-12.1$& $0.127$& $-17.3$& $0.024$& $-18.3$& $0.149$& $245.51$& $0.0284$\\
|
||||
$2$& $3$& $0.12$& $-31.0$& $0.0270$& $-7.9$& $0.128$& $-18.8$& $0.025$& $-16.4$& $0.152$& $240.52$& $0.0291$\\
|
||||
$2$& $5$& $0.12$& $-26.7$& $0.0299$& $-0.2$& $0.130$& $-13.1$& $0.027$& $-11.1$& $0.147$& $225.5$& $0.03$\\\hline
|
||||
$3$& $0$& $0.26$& $-19.6$& $0.0755$& $-5.0$& $0.285$& $-9.1$& $0.077$& $-2.9$& $0.311$& $192.95$& $0.0792$\\
|
||||
$3$& $1$& $0.26$& $-10.0$& $0.0454$& $-1.6$& $0.262$& $-9.5$& $0.044$& $-4.8$& $0.287$& $145.71$& $0.0461$\\
|
||||
$3$& $4$& $0.26$& $-9.6$& $0.0479$& $5.0$& $0.265$& $-7.9$& $0.046$& $1.1$& $0.286$& $145.71$& $0.0455$\\\hline
|
||||
$5$& $0$& $0.73$& $-9.6$& $0.2357$& $-0.4$& $0.760$& $-5.3$& $0.240$& $1.4$& $0.8$& $125.415$&$0.2366$\\
|
||||
$5$& $1$& $0.73$& $4.5$& $0.0755$& $-3.1$& $0.670$& $-3.4$& $0.074$& $-5.1$& $0.693$& $61.345$& $0.0778$\\
|
||||
$5$& $3$& $0.73$& $4.3$& $0.0763$& $4.7$& $0.671$& $-3.4$& $0.074$& $1.8$& $0.694$& $70.285$& $0.0727$\\
|
||||
$5$& $7$& $0.73$& $4.4$& $0.0802$& $16.2$& $0.675$& $-2.8$& $0.077$& $12.7$& $0.694$& $68.05$& $0.0672$\\\hline
|
||||
$10$& $0$& $2.90$& $-2.4$& $0.7539$& $-2.3$& $2.900$& $-2.4$& $0.761$& $-1.4$& $2.97$& $62.835$& $0.7713$\\
|
||||
$10$& $1$& $2.90$& $6.3$& $0.2513$& $7.6$& $2.700$& $-0.7$& $0.250$& $7.1$& $2.718$& $24.076$& $0.2322$\\
|
||||
$10$& $3$& $2.90$& $6.4$& $0.2520$& $10.5$& $2.700$& $-0.5$& $0.250$& $9.8$& $2.714$& $28.571$& $0.2255$\\
|
||||
$10$& $7$& $2.90$& $6.4$& $0.2554$& $16.9$& $2.700$& $-0.5$& $0.252$& $15.8$& $2.713$& $28.072$& $0.2122$\\\hline
|
||||
$25$& $0$& $18.15$& $1.1$& $3.7693$& $-3.9$& $18.000$& $0.3$& $3.800$& $-3.0$& $17.955$& $24.84$& $3.9156$\\
|
||||
$25$& $1$& $18.15$& $6.7$& $1.8843$& $9.7$& $16.900$& $-0.2$& $1.900$& $10.4$& $16.938$& $8.84$& $1.7024$\\
|
||||
$25$& $3$& $18.15$& $6.8$& $1.8851$& $13.2$& N/A& N/A& N/A& N/A& $16.919$& $8.595$& $1.636$\\
|
||||
$25$& $13$& $18.15$& $6.7$& $1.9016$& $18.9$& $16.900$& $-0.2$& $1.900$& $18.8$& $16.931$& $10.555$& $1.5429$\\
|
||||
$25$& $37$& $18.15$& $6.0$& $2.0197$& $15.9$& $17.100$& $0.2$& $2.000$& $15.1$& $17.066$& $10.31$& $1.698$\\
|
||||
\rowcolor[gray]{0.9}
|
||||
$1$& $0$& $0.03$& $-86.2$& $0.0076$& $-86.8$& $0.038$& $-42.1$& $0.008$& $-77.5$& $0.054$& $457.585$&$0.0142$\\
|
||||
$1$& $3$& $0.03$& $-93.1$& $0.0095$& $-49.9$& $0.039$& $-43.6$& $0.008$& $-78.8$& $0.056$& $\textbf{465.07}$& $\textbf{0.0143}$\\
|
||||
$1$& $4$& $0.03$& $-103.4$& $0.0108$& $-38.6$& $0.040$& $-47.5$& $0.008$& $-87.5$& $\textbf{0.059}$& $460.08$& $0.015$\\
|
||||
$1$& $5$& $0.03$& $-89.7$& $0.0123$& $-35.3$& $0.041$& $-34.1$& $0.009$& $-84.4$& $0.055$& $460.08$& $0.0166$\\\hline
|
||||
\rowcolor[gray]{0.9}
|
||||
$2$& $0$& $0.16$& $10.0$& $0.0252$& $-26.7$& $0.126$& $-14.3$& $0.026$& $-22.7$& $0.144$& $266.24$& $0.0319$\\
|
||||
\rowcolor[gray]{0.9}
|
||||
$2$& $1$& $0.12$& $-28.4$& $0.0253$& $-12.1$& $0.127$& $-17.3$& $0.024$& $-18.3$& $0.149$& $\textbf{245.51}$& $\textbf{0.0284}$\\
|
||||
$2$& $3$& $0.12$& $-31.0$& $0.0270$& $-7.9$& $0.128$& $-18.8$& $0.025$& $-16.4$& $\textbf{0.152}$& $240.52$& $0.0291$\\
|
||||
$2$& $5$& $0.12$& $-26.7$& $0.0299$& $-0.2$& $0.130$& $-13.1$& $0.027$& $-11.1$& $0.147$& $225.5$& $0.03$\\\hline
|
||||
\rowcolor[gray]{0.9}
|
||||
$3$& $0$& $0.26$& $-19.6$& $0.0755$& $-5.0$& $0.285$& $-9.1$& $0.077$& $-2.9$& $0.311$& $192.95$& $0.0792$\\
|
||||
\rowcolor[gray]{0.9}
|
||||
$3$& $1$& $0.26$& $-10.0$& $0.0454$& $-1.6$& $0.262$& $-9.5$& $0.044$& $-4.8$& $\textbf{0.287}$& $\textbf{145.71}$& $0.0461$\\
|
||||
$3$& $4$& $0.26$& $-9.6$& $0.0479$& $5.0$& $0.265$& $-7.9$& $0.046$& $1.1$& $\textbf{0.286}$& $\textbf{145.71}$& $\textbf{0.0455}$\\\hline
|
||||
\rowcolor[gray]{0.9}
|
||||
$5$& $0$& $0.73$& $-9.6$& $0.2357$& $-0.4$& $0.760$& $-5.3$& $0.240$& $1.4$& $0.8$& $125.415$&$0.2366$\\
|
||||
\rowcolor[gray]{0.9}
|
||||
$5$& $1$& $0.73$& $4.5$& $0.0755$& $-3.1$& $0.670$& $-3.4$& $0.074$& $-5.1$& $\textbf{0.693}$& $61.345$& $0.0778$\\
|
||||
$5$& $3$& $0.73$& $4.3$& $0.0763$& $4.7$& $0.671$& $-3.4$& $0.074$& $1.8$& $\textbf{0.694}$& $\textbf{70.285}$& $0.0727$\\
|
||||
$5$& $7$& $0.73$& $4.4$& $0.0802$& $16.2$& $0.675$& $-2.8$& $0.077$& $12.7$& $\textbf{0.694}$& $68.05$& $\textbf{0.0672}$\\\hline
|
||||
\rowcolor[gray]{0.9}
|
||||
$10$& $0$& $2.90$& $-2.4$& $0.7539$& $-2.3$& $2.900$& $-2.4$& $0.761$& $-1.4$& $2.97$& $62.835$& $0.7713$\\
|
||||
\rowcolor[gray]{0.9}
|
||||
$10$& $1$& $2.90$& $6.3$& $0.2513$& $7.6$& $2.700$& $-0.7$& $0.250$& $7.1$& $\textbf{2.718}$& $24.076$& $0.2322$\\
|
||||
$10$& $3$& $2.90$& $6.4$& $0.2520$& $10.5$& $2.700$& $-0.5$& $0.250$& $9.8$& $2.714$& $\textbf{28.571}$& $0.2255$\\
|
||||
$10$& $7$& $2.90$& $6.4$& $0.2554$& $16.9$& $2.700$& $-0.5$& $0.252$& $15.8$& $2.713$& $28.072$& $\textbf{0.2122}$\\\hline
|
||||
\rowcolor[gray]{0.9}
|
||||
$25$& $0$& $18.15$& $1.1$& $3.7693$& $-3.9$& $18.000$& $0.3$& $3.800$& $-3.0$& $17.955$& $24.84$& $3.9156$\\
|
||||
\rowcolor[gray]{0.9}
|
||||
$25$& $1$& $18.15$& $6.7$& $1.8843$& $9.7$& $16.900$& $-0.2$& $1.900$& $10.4$& $16.938$& $8.84$& $1.7024$\\
|
||||
$25$& $3$& $18.15$& $6.8$& $1.8851$& $13.2$& N/A& N/A& N/A& N/A& $16.919$& $8.595$& $1.636$\\
|
||||
$25$& $13$& $18.15$& $6.7$& $1.9016$& $18.9$& $16.900$& $-0.2$& $1.900$& $18.8$& $16.931$& $\textbf{10.555}$& $\textbf{1.5429}$\\
|
||||
$25$& $37$& $18.15$& $6.0$& $2.0197$& $15.9$& $17.100$& $0.2$& $2.000$& $15.1$& $\textbf{17.066}$& $10.31$& $1.698$\\
|
||||
|
||||
\end{tabular}
|
||||
\caption{Inductor sample design parameters and measured characteristics. All inductors have outer diameter
|
||||
\qty{35}{\milli\meter} and inner diameter \qty{15}{\milli\meter}. The missing values in the simulation results
|
||||
columns result from the solver failing to converge.}
|
||||
\qty{35}{\milli\meter} and inner diameter \qty{15}{\milli\meter}. The missing values in the simulation results
|
||||
columns result from the solver failing to converge. Bolded values highlight the best performing two-layer coil
|
||||
of each turn count. Shaded rows indicate conventional single-layer ($k=0$) or two-layer ($k=1$) planar
|
||||
inductors.}
|
||||
\end{table*}
|
||||
|
||||
\subsection{Inductance and Frequency Behavior of Larger Coils}
|
||||
|
|
@ -645,28 +659,35 @@ $25$& $37$& $18.15$& $6.0$& $2.0197$& $15.9$& $17.100$& $0.2$& $2.000$&
|
|||
$\left[\unit{\ohm}\right]$&
|
||||
$\left[\unit{\mega\hertz}\right]$&
|
||||
$\left[\unit{\pico\farad}\right]$\\\hline
|
||||
\rowcolor[gray]{0.9}
|
||||
$25$&$40$&$1$ &$150$& $5.00$& $11.0$& N/A& N/A\\
|
||||
\rowcolor[gray]{0.9}
|
||||
$25$&$40$&$53$ &$1$& $120$& $\mathbf{19.6}$& $18.0$& $0.65$\\
|
||||
$25$&$40$&$53$ &$50$& $121$& $22.6$& $\mathbf{27.5}$& $\mathbf{0.28}$\\
|
||||
$25$&$40$&$53$ &$100$& $123$& $26.9$& $26.5$& $0.29$\\
|
||||
$25$&$40$&$53$ &$150$& $\mathbf{125}$& $33.2$& $24.0$& $0.35$\\\hline
|
||||
\rowcolor[gray]{0.9}
|
||||
$50$&$65$&$1$ &$300$& $10.2$& $21.9$& N/A& N/A\\
|
||||
\rowcolor[gray]{0.9}
|
||||
$50$&$65$&$53$ &$1$& $270$& $\mathbf{35.7}$& $10.0$& $0.94$\\
|
||||
$50$&$65$&$53$ &$100$& $272$& $41.9$& $\mathbf{15.8}$& $\mathbf{0.37}$\\
|
||||
$50$&$65$&$53$ &$200$& $277$& $50.1$& $13.3$& $0.52$\\
|
||||
$50$&$65$&$53$ &$300$& $\mathbf{280}$& $65.0$& $13.8$& $0.48$\\\hline
|
||||
\rowcolor[gray]{0.9}
|
||||
$75$&$90$&$1$ &$480$& $17.3$& $35.5$& N/A& N/A\\
|
||||
\rowcolor[gray]{0.9}
|
||||
$75$&$90$&$53$ &$1$& $441$& $\mathbf{50.7}$& $7.00$& $1.17$\\
|
||||
$75$&$90$&$53$ &$160$& $444$& $60.8$& $\mathbf{10.0}$& $\mathbf{0.57}$\\
|
||||
$75$&$90$&$53$ &$320$& $461$& $76.2$& $8.75$& $0.72$\\
|
||||
$75$&$90$&$53$ &$480$& $\mathbf{470}$& $92.9$& $8.00$& $0.84$\\
|
||||
\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.}
|
||||
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 $L$. $f_\text{Res}$ was 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. Bolded values highlight the best performance among the coils of one size. Shaded
|
||||
rows indicate conventional planar toroidal ($n=1$) or two-layer planar spiral inductors ($k=1$).}
|
||||
\label{tab_wide_coils}
|
||||
\end{table}
|
||||
|
||||
|
|
@ -731,6 +752,10 @@ the resulting coupling plot for a set of three-turn inductors, and Figure\ \ref{
|
|||
five-turn inductors. Measurements for 10- and for 25-turn inductors are shown in Figures \ref{fig_rms_ripple_n10} and
|
||||
\ref{fig_rms_ripple_n25} in the Appendix.
|
||||
|
||||
Plotting the results of these experiments as well as a series of experiments at a \qty{1}{\milli\meter} radial offset
|
||||
against inversion count $k$, we arrive at the graph in Figure\ \ref{fig_k_ripple_plot}. In this graph, we see that
|
||||
twisted inductors improve ripple compared to conventional designs, even at a low inversion count such as $k=3$.
|
||||
|
||||
From these plots, we can draw a number of conclusions. First, our primary objective of reducing coupling variation
|
||||
across rotations works, with twisted inductors ($k>1$) showing a further improvement over simple two-layer inductors,
|
||||
which prove to be better than simple single-layer spiral inductors. As one would expect, this gain is greatest for
|
||||
|
|
@ -745,8 +770,13 @@ for $k=7$ inversions.
|
|||
\begin{center}
|
||||
\includegraphics[width=.85\linewidth]{figures/k_ripple_plot.pdf}
|
||||
\end{center}
|
||||
\caption{}
|
||||
\label{fig_test_schematic}
|
||||
\caption{RMS Voltage ripple in a model rotating WPT setup with $R_L=\qty{10}{\ohm}$ as a percentage of total RMS
|
||||
output voltage, plotted against inductor inversion count $k$. Measurements were taken with a number of different
|
||||
coils with turn count $n$ between a single turn and $25$ turns. Measurements were taken at two different radial coil
|
||||
offsets of $r=\qty{1}{\milli\meter}$ and $\qty{4}{\milli\meter}$. Coil distance was $d=\qty{1}{\milli\meter}$ in all
|
||||
cases. The shaded area indicates conventional coil layouts, with the remainder of the plot showing twisted
|
||||
inductors.}
|
||||
\label{fig_k_ripple_plot}
|
||||
\end{figure}
|
||||
|
||||
\begin{figure}
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue