From 7db1999012d4751b6ce46efbbcc54adc86a253fa Mon Sep 17 00:00:00 2001 From: jaseg Date: Thu, 26 Sep 2024 18:51:54 +0200 Subject: [PATCH] paper: Add coupling experiment section --- paper/figures/symmetry_3turn_n_twist.pdf | Bin 20891 -> 20056 bytes paper/paper.tex | 29 ++++++++++++++++++++--- 2 files changed, 26 insertions(+), 3 deletions(-) diff --git a/paper/figures/symmetry_3turn_n_twist.pdf b/paper/figures/symmetry_3turn_n_twist.pdf index 1cfd58daf4d14cd9a714b570e343649343bebfa6..5629093ee8ff5de80182508290124d6b42f29627 100644 GIT binary patch delta 13509 zcmbQenDNFO#trR^_1^s|o@H~t|I|*>WSW&xZ7;U@!3#r%a%ZyztqVf4Ev~GX&EVG1|X*2@%m8BU4jc{|T3Yw5jzU(avkQ*_L}?$^_|{Pz3)ez>o!_w(Ch`*jL`KGyI5d;WGkSAFsC z`0eul-@V=c_s6&8?{8$Uy>q!|Gf(-{OTUuV*M6#y{}!eDJ?^rEsKu%Im$ME3y8Ufa zJ~zWn=bhEkuSe^CKly0)X1n0KozLTv-*X&3|6+Sc-Qqgos2!0m^|RvN>^yJrsJ&L) zdGGniC>g`2KP~4@zny=jQvd9M`A2swXZLx0Pd<9S(K|UOj~yoWHgwh3IBc)h*k3w7 z^xiF#i@xj5ulae^?lN=K{GE^Y-cC2Y7o2a=doAk!j>oU^?-m;0@jkzp|9;`MKUv3L 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ze}5#|-@e%vv?JFkUsR^-#VH&8r1+poZ+^|FHLUwncwf$o*H!Fw*)9IlrE5QL{+%6Q zR&jN6$^DQ18hf-`-{1UNxA%c&_p?m6?f?HdHP2N0_s7zG#v_Jmz`p-P?qQtBjZpr&SOVuq` z%sP39|H`GlZ(HntpV_>oKK8Wzoy*S;y5TwyH3Vr*t)vU!H_260w1Q)45;$-dq` z>6V5j3I-sckf*=}q74i!&5VsO#mq3(S(qAPsIxG~)N5gBJjus`#l*nWaI%e$O1+7J zktMoD3u9Ar3^7Af19UNSb0Z6MF-sFe40R?3<`|AMF){>+)f*TXAbe|r#bOgPa|{QX zSeTfiTWkt42^?q$^GuD6L6(4I;2~;iYKG)Fko^V*hNk957(r!<#S$|Ea||Dw85v>t y*v!n(7~O$p<^~vI=GumaX6OpdO-wKhw6rugnattm!eeA$Xl%%(s_N?R#svU%TN+XT diff --git a/paper/paper.tex b/paper/paper.tex index cf49f8f..fbd051a 100644 --- a/paper/paper.tex +++ b/paper/paper.tex @@ -306,10 +306,10 @@ In conclusion, we observe that twisted inductors \emph{improve} high-frequency p inductors while closely matching them in ESR and inductance. While they peform worse than simple single-layer inductors in high-frequency performance, the increased trace width that two-layer inductors allow for lowers resistive losses by approximately a factor of four. In applications where resistive losses lead to the choice of a two-layer inductor, -twisted inductors provide improved high-frequency performance at no additional cost and without compromising on other +twisted inductors provide improved high-frequency performance at no additional cost and without compromising other performance parameters. -\begin{table} +\begin{table*} \begin{tabular}{cc|ccc|} Turn Count $n$& Trace pair count $k$& @@ -319,10 +319,33 @@ performance parameters. \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}.} -\end{table} +\end{table*} \subsection{Coupling} +The key performance criterion in our application is the voltage ripple that appears on the secondary side of a WPT link +when one of the inductors is rotating. To experimentally evaluate the magnitude of this ripple in a realistic scenario +across a large set of rotations and relative displacements, we created a test setup consisting of a 3D gantry built from +an old 3D printer, with a fourth rotation axis provided by a small servo that allows us to position two inductor test +coupons at arbitrary offsets and angles to one another while measuring their coupling. + +To evaluate a realistic scenario, we loaded the secondary inductor with a resistive load of \qty{10}{\ohm}, while +providing a signal at a \qty{300}{\kilo\hertz} carrier frequency to the primary inductor from a Siglent SDG6022X +function generator. We measured both the input and output voltages of the coupled inductor pair using Keysight 34465A +multimeters in AC RMS mode. The results of these measurements, with the voltage ratio between the coupled inductors' +input and output voltages graphed across one revolution in Figure\ \ref{symmetry_3turn_n_twist} for a set of three-turn +inductors and in Figure\ \ref{symmetry_10turn_n_twist} for a set of 10-turn inductors with multiple trace pair amounts +$k$. + +From these graphs we observe slightly lower coupling for $k>0$ compared to a single-layer spiral inductor, which is +in line with our previous inductance measurements. Across one revolution, we find that single-layer spiral inductors +exhibit the worst voltage ripple, with simple two-layer inductors with $k=1$ already improving ripple by a large margin. +Increasing $k$ above $1$ does not decrease the amplitude of this ripple further, but it does shift the ripple into +higher frequencies that are easier to passively filter, as we originally intended. + +\todo{new ripple measurements, concrete coupling factor measurements} +\todo{schematics for illustration of measeurement circuits} + \begin{figure} \begin{center} %\includegraphics[width=0.7\linewidth]{figures/symmetry_3turn_n_twist.pdf}