diff --git a/Spiral plots.ipynb b/Spiral plots.ipynb index a081088..4177771 100644 --- a/Spiral plots.ipynb +++ b/Spiral plots.ipynb @@ -16,7 +16,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 61, "id": "adb7bd21-de07-4f61-8edf-dfb04b99cef5", "metadata": {}, "outputs": [ @@ -26,7 +26,7 @@ "'$\\\\frac{2\\\\pi}{3}$'" ] }, - "execution_count": 23, + "execution_count": 61, "metadata": {}, "output_type": "execute_result" } @@ -34,7 +34,7 @@ "source": [ "def fmt_angle(a):\n", " a /= np.pi\n", - " k = 2**6 * 3**5 * 5**3 * 7**2\n", + " k = 2**4 * 3**2 * 5**3 * 7**2\n", " n = round(a*k)\n", " f = math.gcd(n, k)\n", " n, k = n//f, k//f\n", @@ -734,13 +734,13 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 70, "id": "90f389af-0acb-461c-bc78-aa9797e4ef3b", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -849,7 +849,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 12, "id": "f5ce5169-3bf3-43ee-a1d0-5e3e72f6ae25", "metadata": {}, "outputs": [ @@ -918,6 +918,138 @@ "fig.savefig('paper/figures/nk_interleave_illust.pdf')" ] }, + { + "cell_type": "code", + "execution_count": 80, + "id": "369154e6-d9de-40a7-9511-e9635d25aed0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(2, 5, figsize=(6, 3), layout='constrained')\n", + "\n", + "r1, r2 = 10, 30\n", + "f = 1.1 # border factor around top plots\n", + "\n", + "for plot_i, (axi, (ptitle, n, k)) in enumerate(zip(axs.T, [('Conventional\\nSingle Layer\\n', 3, 0.5), ('Conventional\\nTwo-Layer\\n', 3, 1), ('', 3, 2), ('Twisted inductors\\n', 2, 3), ('', 5, 4)])):\n", + " axi[0].set_title(f'{ptitle}n={n}\\nk={k}', fontsize=8)\n", + " circle_r1 = plt.Circle((0, 0), r1, color='black', fill=False)\n", + " circle_r2 = plt.Circle((0, 0), r2, color='black', fill=False)\n", + " axi[0].add_patch(circle_r1)\n", + " axi[0].add_patch(circle_r2)\n", + " axi[0].set_xlim([-r2*f, r2*f])\n", + " axi[0].set_ylim([-r2*f, r2*f])\n", + " axi[0].set_aspect('equal')\n", + " \n", + " t = np.linspace(0, 1, 1000)\n", + " t_n = 2*k*t\n", + " t_mod = -(t_n%2-1)\n", + " phi = 2*np.pi*n/(2*k)*t_n\n", + " r = r1 + (r2 - r1)*np.abs(t_mod)\n", + "\n", + " x = r*np.cos(phi)\n", + " y = -r*np.sin(phi)\n", + "\n", + " current_segment = []\n", + " current_t = None\n", + " for xi, yi, ti in zip(x, y, t_mod):\n", + " if current_t is None:\n", + " current_t = ti\n", + " \n", + " if np.sign(current_t) == np.sign(ti):\n", + " current_segment.append((xi, yi))\n", + " \n", + " else:\n", + " color = 'red' if ti >= 0 else 'blue'\n", + " xy = np.array(current_segment).T\n", + " axi[0].plot(xy[0], xy[1], color=color)\n", + " \n", + " current_segment = [tuple(xy[:,-1])]\n", + " current_t = ti\n", + " \n", + " axi[0].scatter(x[[0, -1]], y[[0, -1]], marker='.', color='black', zorder=2)\n", + "\n", + " for i in range(1, n+1):\n", + " axi[1].axhline(y=1-i*2/n/(2 if k<1 else 1), color='black', alpha=0.4, linewidth=1)\n", + "\n", + " phi_m = phi % (2*np.pi)\n", + " discontinuities, = np.where((phi_m[1:] < phi_m[:-1]) | (t_mod[1:] > t_mod[:-1]))\n", + " phi_m = np.insert(phi_m, discontinuities + 1, np.nan)\n", + " r_m = np.insert(t_mod, discontinuities + 1, np.nan)\n", + " axi[1].plot(phi_m, r_m, color='black')\n", + " axi[1].set_xlabel(r'$\\varphi$', labelpad=1)\n", + " \n", + " ticks = np.linspace(0, 2*np.pi, round(k+1))\n", + " axi[1].set_xticks(ticks)\n", + " axi[1].set_xticklabels(map(fmt_angle, ticks))\n", + " if plot_i > 0:\n", + " axi[0].yaxis.set_tick_params(labelleft=False)\n", + " axi[1].yaxis.set_tick_params(labelleft=False)\n", + " \n", + " tx = axi[1].twinx()\n", + " \n", + " if k >= 1:\n", + " ticks = np.arange(n+1)\n", + " tx.set_yticks(ticks)\n", + " ticks = list(map(str, reversed(ticks)))\n", + " #ticks[0] = f'n={n}'\n", + " tx.set_yticklabels(ticks)\n", + " tx.set_ylim([0, n])\n", + " else:\n", + " ticks = np.arange(2*n+1)\n", + " tx.set_yticks(ticks)\n", + " ticks = list(map(str, reversed(ticks)))\n", + " #ticks[n] = f'n={n}'\n", + " ticks[:n] = ['']*n\n", + " tx.set_yticklabels(ticks)\n", + " tx.set_ylim([0, 2*n])\n", + " \n", + " ty = axi[1].twiny()\n", + " ticks = np.arange(round(k+1))\n", + " if plot_i == 0:\n", + " ty.set_xticks([])\n", + " else:\n", + " ty.set_xticks(ticks)\n", + " ticks = list(map(str, ticks))\n", + " ticks[-1] = f'k={k}'\n", + " ty.set_xticklabels(ticks)\n", + " ty.set_xlim([0, k])\n", + " #ty.set_xlabel('$j$', labelpad=4)\n", + "\n", + " axi[1].set_xlim([0, 2*np.pi])\n", + " axi[1].set_ylim([-1, 1])\n", + " \n", + " for i in range(round(k)):\n", + " axi[1].axvline(x=i*2*np.pi/k, color='black', alpha=0.4, linewidth=1)\n", + " \n", + " ty.spines['top'].set_color('red')\n", + " ty.spines['right'].set_color('red')\n", + " tx.yaxis.label.set_color('red')\n", + " tx.tick_params(axis='y', colors='red')\n", + " ty.xaxis.label.set_color('red')\n", + " ty.tick_params(axis='x', colors='red')\n", + " \n", + " #axi[0].set_xlabel('x', labelpad=1)\n", + " \n", + "#axs[0][0].set_ylabel('y', rotation='horizontal', labelpad=1)\n", + "axs[1][0].set_ylabel('r', rotation='horizontal', labelpad=1)\n", + "tx.set_ylabel('$i$', rotation='horizontal', labelpad=1)\n", + "\n", + "fig.add_artist(matplotlib.patches.Rectangle((0, 0), 0.42, 1, zorder=1000, color='black', alpha=0.05, linestyle='none'))\n", + "#fig.tight_layout()\n", + "fig.savefig('paper/figures/nk_combined.pdf')" + ] + }, { "cell_type": "code", "execution_count": 13, @@ -1340,7 +1472,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.6" + "version": "3.12.7" } }, "nbformat": 4, diff --git a/paper/figures/nk_chinese_remainder_illust.pdf b/paper/figures/nk_chinese_remainder_illust.pdf index 454ba73..4088f1f 100644 Binary files a/paper/figures/nk_chinese_remainder_illust.pdf and b/paper/figures/nk_chinese_remainder_illust.pdf differ diff --git a/paper/figures/nk_combined.pdf b/paper/figures/nk_combined.pdf new file mode 100644 index 0000000..c135992 Binary files /dev/null and b/paper/figures/nk_combined.pdf differ diff --git a/paper/figures/nk_complex_illust.pdf b/paper/figures/nk_complex_illust.pdf index ef63f4b..906e226 100644 Binary files a/paper/figures/nk_complex_illust.pdf and b/paper/figures/nk_complex_illust.pdf differ diff --git a/paper/figures/nk_interleave_illust.pdf b/paper/figures/nk_interleave_illust.pdf index 84d3236..fb4d164 100644 Binary files a/paper/figures/nk_interleave_illust.pdf and b/paper/figures/nk_interleave_illust.pdf differ diff --git a/paper/figures/nk_simple_illust.pdf b/paper/figures/nk_simple_illust.pdf index 84fa629..b4fbb2f 100644 Binary files a/paper/figures/nk_simple_illust.pdf and b/paper/figures/nk_simple_illust.pdf differ diff --git a/paper/figures/twolayer_spiral.pdf b/paper/figures/twolayer_spiral.pdf index 18a39ca..999d136 100644 Binary files a/paper/figures/twolayer_spiral.pdf and b/paper/figures/twolayer_spiral.pdf differ diff --git a/paper/paper.tex b/paper/paper.tex index 4f411ff..fba4f82 100644 --- a/paper/paper.tex +++ b/paper/paper.tex @@ -13,10 +13,7 @@ \usepackage{amssymb,amsmath} \usepackage{eurosym} \usepackage{wasysym} - \usepackage[binary-units]{siunitx} -\DeclareSIUnit{\baud}{Bd} -\DeclareSIUnit{\year}{a} \usepackage{commath} \usepackage{graphicx,color} \usepackage{colortbl} @@ -27,6 +24,9 @@ \usepackage{hyperref} \usepackage{makecell} +\DeclareSIUnit{\baud}{Bd} +\DeclareSIUnit{\year}{a} +\DeclareSIUnit{\rpm}{rpm} \renewcommand{\floatpagefraction}{.8} \newcommand{\degree}{\ensuremath{^\circ}} \newcolumntype{P}[1]{>{\centering\arraybackslash}p{#1}} @@ -68,53 +68,47 @@ published in\textcite{gotteCantTouchThis2022}, we found ourselves presented with attempting WPT through a rotating joint using a PCB inductor---a set of constraints that does not yet seem to be addressed adequately in the existing literature on inductive WPT. -Our application poses the challenge of transferring power between a stationary and a rotating part of an -IHSM\cite{gotteCantTouchThis2022} through a pair of WPT inductors located on the IHSM's axis of rotation. To reduce -manufacturing cost of both parts, and to reduce weight and thereby inertia as well as susceptibility to vibration in the -rotating part, we decided to use inductors that are directly patterned onto the IHSM's printed circuit boards. The -primary constraint that results from this choice is that the PCB manufacturing processes' pattern resolution results in -a strict upper limit to the turn count that can be achieved in an inductor with a given area. +Our application poses the challenge of transferring power between a stationary part of an +IHSM\cite{gotteCantTouchThis2022} and part that rotates at high speed (\qtyrange{1000}{3000}{\rpm}) through a pair of +WPT inductors located on the IHSM's axis of rotation. The large centrifugal acceleration prohibits the use of liquid +electrolyte capacitors on the rotating part, and makes heavy components such as large MLCCs challenging to balance. To +reduce manufacturing cost of both parts, and to reduce weight and thereby inertia as well as susceptibility to vibration +in the rotating part, we decided to use inductors that are directly patterned onto the IHSM's printed circuit boards. +The primary constraint that results from this choice is that the PCB manufacturing processes' pattern resolution results +in a strict upper limit to the turn count that can be achieved in an inductor with a given area. -We found that at such small turn counts, a simple spiral PCB inductors exhibits a \emph{slightly} asymmetric field, -which means that the coupling coefficient of two such inductors oscillates at one cycle per revolution when the -inductors are rotated on-axis, even if both inductors are perfectly coaxially aligned. +While planar inductors are usually considered approximately axisymmetric, we found that at the small turn counts in our +application, the asymmetry in a planar spiral inductors's field is large enough that the resulting oscillation of the +coupling coefficient of two such inductors with the inductor's revolution leads to voltage ripple on the secondary side, +an issue which is exacerbated by radial misalignment of the coils. -In other inductive wireless power transfer systems, this oscillation is mitigated by one of several factors: First, for -this effect to matter in the first place, the two coils have to be rotating with respect to one another. In ferrite or -iron-cored inductors, the core is the single major factor shaping the magnetic field, and evens out any small effect -asymmetric windings might have. In wire-wound inductors, the often higher turn count and the tightly packed, circular -wires reduce this effect to almost nothing. Finally, the output ripple caused by this oscillation can be filtered -through a voltage regulator or by using a large decoupling capacitor on the secondary side where those components can be -accomodated on the rotating part given the centrifugal forces resulting from a concrete design's rate of rotation. +In other inductive wireless power transfer systems, this issue is mitigated by one of several factors: First, for this +effect to matter in the first place, the two coils have to be rotating with respect to one another. In ferrite core +inductors, the core is the major factor shaping the magnetic field and evens out the small effect of winding asymmetry. +In wire-wound inductors, the often higher turn count and the tightly packed, circular wires reduce this effect to almost +nothing. Finally, the output ripple caused by this oscillation can be filtered through a voltage regulator or by using a +large decoupling capacitor on the secondary side if the application can accomodate such components on the rotating part. While there exist a corpus of prior work focusing on efficient power transfer between two coils whose position relative to one another cannot be precisely controlled as is the case in wireless phone charging systems as well as in proposed -WPT electric vehicle charges, +WPT electric vehicle chargers, % TODO cite -it is generally assumed that the two coils remain (almost) stationary with respect to one another. +it is generally assumed that the two coils remain quasi-stationary with respect to one another. There exists a small body of work on inductive power transfer through rotating -joints\cite{fanSimultaneousWirelessPower2024}, -but here the focus lies on higher power budgets than our application requires, which often requires ferrite or iron-core -inductors. - -Our application is unique in that it requires power transfer through a joint that is constantly rotating at high speed, -while we simultaneously want to avoid heavy components on the (rotating) receiver side. (Liquid) electrolytic capacitors -cannot be used due to the large centrifugal acceleration that the rotating part experiences, and other heavy components -such as large ceramic or polymer electrolytic capacitors or ferrite-core power inductors are inadvisable since they will -exert large stresses onto their solder joints and the surrounding assembly due to the same centrifugal acceleration. -Any imbalance caused by tolerances in the placement of heavy components or the precise shape of their solder fillets -can cause detrimental vibration. +joints\cite{fanSimultaneousWirelessPower2024}, but here the focus lies on higher power budgets than our application +requires, which in practice requires more space and a ferrite or laminated iron core. \subsection{Twisted inductors} -To solve this conundrum, we applied a principle inspired by rectangular or octagonal RFIC inductor design as well as by -the polygonal basket-woven air coils used in early radio sets. In this paper, we propose a novel way of laying out -circular PCB inductors that twists the inductor's windings around one another using a ring of vias each on the inside -and outside of the inductor's windings. Applying some math, we show that we can layout a twisted inductor for any number -of twists that is co-prime to the inductor's turn count, and that in fact, our approach opens up a large design space -for inductor layouts that interpolate between planar spiral inductors on one end, and planar toroidal inductors on the -other end. Our approach thus generalizes a number of previous approaches to the design of planar inductors. +In this paper, we propose a novel way of laying out circular PCB inductors that twists the inductor's windings around +one another using a ring of vias each on the inside and outside of the inductor's windings. To fit our unique use case, +we applied a principle which the polygonal basket-woven air coils used in early radio sets are based on to an approach +inspired by contemporary planar inductor layouts. Applying some math, we show that we can layout a twisted inductor for +any number of twists that is co-prime to the inductor's turn count, and that in fact, our approach opens up a large +design space for inductor layouts that interpolate between planar spiral inductors on one end, and planar toroidal +inductors on the other end. Our approach thus generalizes a number of previous approaches to the design of planar +inductors. We observe that in high-frequency applications, a moderate number of twists increases the spacing between the beginning and end of the inductor's conductor, where the majority of the inductor's AC current flows. This decreases the parasitic @@ -229,7 +223,7 @@ Looking at such WPT inductors, they tend to be mostly planar coils with only a f process seems natural. Using a PCB for the inductor has the potential to reduce implementation cost since PCBs are cheap, and they can also serve as structural support. -Implementing inductors in PCBs has a number of disadvantages. First, due to the limited layer count of common PCB +Implementing inductors in PCBs has several disadvantages. First, due to the limited layer count of common PCB processes, and due to structure size limitations, the number of windings that can be fit into a given volume is much lower than in wire-wound inductors. Second, due to a PCB's copper layers being thin compared to its dielectric substrate, PCB inductors tend to have poor DC resistance. A PCBs' thin but wide trace cross-section helps with @@ -350,8 +344,8 @@ To improve layer utilization, a common technique in PCB inductor design is to us inductor's spiral trace, instead of only using the bottom layer for a straight jumper trace. Using both layers this way allows for wider traces, which lowers resistive losses. We can accomodate this optimization in our definition by re-defining our normalized radius to allow both positive and negative values, defining negative values to designate -traces on the PCB's bottom layer as follows. Figure\ \ref{fig_nk_interleave_illust} shows both a simple and a two-layer -spiral inductor. +traces on the PCB's bottom layer as follows. Figure\ \ref{fig_nk_combined} shows both a simple and a two-layer +spiral inductor in the first two columns. \begin{align} \varphi &= 2\pi n t\\ @@ -368,42 +362,50 @@ two core observations: \begin{itemize} \item When using an archimedean spiral, multiple such spirals using the same pitch can be interleaved by spreading out their start and end points at regular angular intervals. - \item In a two-layer spiral inductor as shown in Figure\ \ref{fig_nk_interleave_illust}, we can adjust the turn - count of the pair of traces to move the end point of the bottom layer trace anywhere on the inductor's outer - radius. + \item In a two-layer spiral inductor (Figure\ \ref{fig_nk_combined}), we can adjust the turn count of the + pair of traces to move the end point of the bottom layer trace anywhere on the inductor's outer radius. \end{itemize} Combining these two observations, we find that by choosing a number $k$ of inversions, i.e. layer jumps, that is coprime to the number of total turns of the inductor $n$, we achieve a layout where all $k$ pairs of top and bottom-layer traces naturally connect in series, with the resulting spirals on the top and bottom layers interleaving cleanly. Figure\ -\ref{fig_nk_interleave_illust} shows a layout with $n=3$ turns with both a single inversion ($k=1$) as in a conventional +\ref{fig_nk_combined} shows a layout with $n=3$ turns with both a single inversion ($k=1$) as in a conventional two-layer inductor, and with $k=2$ inversions, creating two interleaved spirals on both the top and the bottom layer of the PCB. Figure\ \ref{fig_nk_complex_illust} in Appendix\ \ref{sec_appendix_layout_examples} shows additional layout examples for other values of $n$ and $k$. For $k=0$, we get a standard single-layer planar spiral inductor for any turn count $n$, and for $k=1$ we get a standard two-layer planar spiral inductor for any turn count $n$. In this paper, we will call all layouts with $k\ge 2$ \emph{Twisted Inductors}. +%\begin{figure} +% \begin{center} +% \includegraphics[width=\figurescale]{figures/nk_interleave_illust.pdf} +% \end{center} +% \caption{single-layer spiral inductor's layout (left), a conventional two-layer planar inductor's layout (middle), +% and a twisted inductor with two inversions (right). All three inductors have $n=3$ turns. Traces on the PCB top +% side are shown in red, traces on the bottom side in blue. In the twisted inductor, each layer contains two +% archimedean spirals that interleave at a regular spacing. The four spirals of the inductor are connected in series +% such that they form three total turns.} +% \label{fig_nk_interleave_illust} +%\end{figure} + \begin{figure} \begin{center} - \includegraphics[width=\figurescale]{figures/nk_interleave_illust.pdf} + \includegraphics[width=\figurescale]{figures/nk_combined.pdf} \end{center} - \caption{single-layer spiral inductor's layout (left), a conventional two-layer planar inductor's layout (middle), - and a twisted inductor with two inversions (right). All three inductors have $n=3$ turns. Traces on the PCB top - side are shown in red, traces on the bottom side in blue. In the twisted inductor, each layer contains two - archimedean spirals that interleave at a regular spacing. The four spirals of the inductor are connected in series - such that they form three total turns.} - \label{fig_nk_interleave_illust} + \caption{Inductor layouts for several sets of turn count $n$ and inversion count $k$. The top row shows the actual + trace layout in cartesian coordinates, the bottom row visualizes the winding schema. + } + \label{fig_nk_combined} \end{figure} -Figure\ \ref{fig_nk_chinese_remainder_illust} illustrates how we arrive at the coprimality requirement. -\todo{Cleanly handle $k=0$ case.} -If we plot the spiral in polar coordinates on a cartesian plot we observe that for a $n$-turn coil with $k$ inversions, -the trace crosses the $\varphi$ axis once for each inversion, wrapping around $r$. Likewise, it crosses the $r$ axis -once for each turn of the inductor, wrapping around $\varphi$. Based on this, we can re-label the angular axis in steps -from $0$ to $k$, and re-label the radial axis in steps from $0$ to $n$. Labelling the new angular axis $i$ and the new -radial axis $j$, in the resulting integer lattice, the trace has slope $1$. We can state the trace's trajectory as a -function of a curve parameter $t \in [0, nk]$ as $f(t) = (i, j) = (t \mod n, t \mod k)$. To produce a valid inductor, -the trace must not intersect anywhere. Thus, the system of congruences +Figure\ \ref{fig_nk_combined} illustrates how we arrive at the coprimality requirement. \todo{Cleanly handle $k=0$ +case.} If we plot the spiral in polar coordinates on a cartesian plot we observe that for a $n$-turn coil with $k$ +inversions, the trace crosses the $\varphi$ axis once for each inversion, wrapping around $r$. Likewise, it crosses the +$r$ axis once for each turn of the inductor, wrapping around $\varphi$. Based on this, we can re-label the angular axis +in steps from $0$ to $k$, and re-label the radial axis in steps from $0$ to $n$. Labelling the new angular axis $i$ and +the new radial axis $j$, in the resulting integer lattice, the trace has slope $1$. We can state the trace's trajectory +as a function of a curve parameter $t \in [0, nk]$ as $f(t) = (i, j) = (t \mod n, t \mod k)$. To produce a valid +inductor, the trace must not intersect anywhere. Thus, the system of congruences \begin{align} t &\equiv i \mod n\\ @@ -413,19 +415,19 @@ the trace must not intersect anywhere. Thus, the system of congruences must have a unique solution $t \in [0, nk]$ for all $(i, j)$. This statement corresponds exactly to the Chinese Remainder Theorem, which states that this solution is unique when $k$ and $n$ are coprime. -\begin{figure} - \begin{center} - \includegraphics[width=0.8\figurescale]{figures/nk_chinese_remainder_illust.pdf} - \end{center} - \caption{Illustration of the winding pattern of two twisted inductors. The upper plots show the inductor's actual - layout with the traces on each side of the substrate colored in red (top) and blue (bottom), respectively. The lower - plots show the same traces, but \emph{unwrap} the annulus by plotting the traces' polar coordinates on cartesian - axes. The left axis labels show the normalized radius, with $0$ being at the inductor's inner diameter, $1$ being at - its outer diameter on the top layer, and $-1$ being at its outer diameter on the bottom layer. The top and right - axes labels show the axis scaled to match indices $i\in\left[0, n\right]$ and $j\in\left[0, k\right]$, - respectively.} - \label{fig_nk_chinese_remainder_illust} -\end{figure} +%\begin{figure} +% \begin{center} +% \includegraphics[width=0.8\figurescale]{figures/nk_chinese_remainder_illust.pdf} +% \end{center} +% \caption{Illustration of the winding pattern of two twisted inductors. The upper plots show the inductor's actual +% layout with the traces on each side of the substrate colored in red (top) and blue (bottom), respectively. The lower +% plots show the same traces, but \emph{unwrap} the annulus by plotting the traces' polar coordinates on cartesian +% axes. The left axis labels show the normalized radius, with $0$ being at the inductor's inner diameter, $1$ being at +% its outer diameter on the top layer, and $-1$ being at its outer diameter on the bottom layer. The top and right +% axes labels show the axis scaled to match indices $i\in\left[0, n\right]$ and $j\in\left[0, k\right]$, +% respectively.} +% \label{fig_nk_chinese_remainder_illust} +%\end{figure} \subsubsection{Ohmic Resistance} @@ -716,13 +718,9 @@ indicating a contribution from flux linkage. $75$&$90$&$53$ &$320$& $461$& $76.2$& $8.75$& $0.72$\\ $75$&$90$&$53$ &$480$& $\mathbf{470}$& $92.9$& $8.00$& $0.84$\\ \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 $L$. $f_\text{Res}$ 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 ($k=1$).} + \caption{Parameters and measurement results of a set of larger sample inductors. Bold values indicate best + performance at a given size. Shaded rows indicate conventional planar toroidal ($n=1$) or two-layer planar + spiral inductors ($k=1$).} \label{tab_wide_coils} \end{table} @@ -757,10 +755,9 @@ the voltage ratio between the coupled inductors' input and output voltages graph \ref{fig_symmetry_3turn_n_twist} for a set of three-turn inductors with multiple inversion numbers $k$. A plot for a set of 10-turn inductors is shown in Figure\ \ref{fig_symmetry_10turn_n_twist} in the Appendix. A key observation here is that while the asymmetry in the inductor's field is impossible to distinguish visually in field plots, the ripple -induced by rotation is considerable. Figure\ \ref{fig_field_plot_3d} shows a 3D plot of an inductor's coupling. While in -the plot the field looks perfectly rotationally symmetric, the sharp dropoff with radial offset (equivalent to a large -gradient) magnifies any small asymmetry and leads to the ripple voltages we have listed in Table\ \ref{tab_coupons}, -in some cases amounting to several percent of total RMS output voltage. +induced by rotation is considerable. The sharp dropoff of coupling with radial offset magnifies any small asymmetry and +leads to the ripple voltages we have listed in Table\ \ref{tab_coupons}, in some cases amounting to several percent of +total RMS output voltage. \begin{figure} \begin{center} @@ -817,19 +814,19 @@ for $k=7$ inversions. \label{fig_k_ripple_plot} \end{figure} -\begin{figure} - \begin{center} - \includegraphics[width=.6\figurescale]{figures/field_plot_3d_n5_k0.pdf} - \end{center} - \caption{The coupling between a pair of identical coils (here two simple spiral inductors with $n=5$ and $k=0$) - visualized in three dimensions. The $x$ and $y$ axis show in-plane displacement, and the $z$ axis shows output - amplitude in arbitrary units. Height and rotation are fixed to \qty{1}{\milli\meter} and \qty{0}{\degree}, - respectively. The most prominent aspects of this plot are that coupling falls off steeply with distance, and that - the rotation-dependent variation is small in comparison. The circular valley around the central peak is the region - where one inductor is mostly outside the other inductors, and intersects the field lines returning from the other - inductor's back, leading to a negative coupling coefficient.} - \label{fig_field_plot_3d} -\end{figure} +%\begin{figure} +% \begin{center} +% \includegraphics[width=.6\figurescale]{figures/field_plot_3d_n5_k0.pdf} +% \end{center} +% \caption{The coupling between a pair of identical coils (here two simple spiral inductors with $n=5$ and $k=0$) +% visualized in three dimensions. The $x$ and $y$ axis show in-plane displacement, and the $z$ axis shows output +% amplitude in arbitrary units. Height and rotation are fixed to \qty{1}{\milli\meter} and \qty{0}{\degree}, +% respectively. The most prominent aspects of this plot are that coupling falls off steeply with distance, and that +% the rotation-dependent variation is small in comparison. The circular valley around the central peak is the region +% where one inductor is mostly outside the other inductors, and intersects the field lines returning from the other +% inductor's back, leading to a negative coupling coefficient.} +% \label{fig_field_plot_3d} +%\end{figure} \begin{figure} \begin{center}