{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Benchmarking metrics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial we will introduce the `galpynostatic.metric` module for benchmarking fast charging electrode materials.\n", "\n", "First, we will import the libraries that we will use throughout this example." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import galpynostatic as gp\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and load the experimental dataset collected and used by [Xia et al.](https://doi.org/10.1021/acsnano.2c03922)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "dataset = pd.read_csv(\"../_static/benchmarking_experimental_data.csv\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data cleaning\n", "\n", "First we will clean the experimental dataset to have it in a proper form for the metric module." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Materialparticle_size_microdcoeff_cm2s
0Ternary107.8e-11
1Ternary81.7e-11 to 6.5e-9
2Ternary2-51e-11 to 3e-11
3LCO5-101e-11 to 1e-7
4LCONaN1e-10 to 1.5e-9
\n", "
" ], "text/plain": [ " Material particle_size_micro dcoeff_cm2s\n", "0 Ternary 10 7.8e-11\n", "1 Ternary 8 1.7e-11 to 6.5e-9\n", "2 Ternary 2-5 1e-11 to 3e-11\n", "3 LCO 5-10 1e-11 to 1e-7\n", "4 LCO NaN 1e-10 to 1.5e-9" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dataset.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the particle size is given in microns and the range values are separated by a '-'." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "dataset[\"d_mean_micro\"] = dataset[\"particle_size_micro\"].str.split(\"-\").apply(\n", " lambda x: np.mean([float(i) for i in x]) \n", " if isinstance(x, list) \n", " else np.nan\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "there are also missing values, which we fill in with the mean value of the material group" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "dataset[\"d_mean_micro\"] = dataset.groupby(\n", " \"Material\", group_keys=False\n", ")[\"d_mean_micro\"].apply(lambda x: x.fillna(x.mean()))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the case of the diffusion coefficient, the range is separated by the characters ` to ` and they are spread over a wide range of orders of magnitude, so we use the geometric mean because it is a more appropriate measure than the arithmetic mean, which would be dominated by the larger ones." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from scipy.stats import gmean\n", "\n", "dataset[\"dcoeff_midpoint_cm2s\"] = dataset[\"dcoeff_cm2s\"].str.split(\" to \").apply(\n", " lambda x: gmean([float(i) for i in x])\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure of Merit\n", "\n", "This metric uses the diffusion coefficient and the particle size to define the characteristic time of diffusion, $\\tau = d^2 / D$. The greater this value, the greater the fast charging capability of the material." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "dataset[\"fom\"] = gp.metric.fom(\n", " 1e-4 * dataset[\"d_mean_micro\"], dataset[\"dcoeff_midpoint_cm2s\"]\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, we generate a chart similar to the one presented by [Xia et al.](https://doi.org/10.1021/acsnano.2c03922)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots() \n", "\n", "xvalues = np.logspace(-20, -8)\n", "for tau, x, y in zip(\n", " np.logspace(7, -1, num=5), \n", " [0.54, 0.72, 0.9, 0.94, 0.94], \n", " [0.95, 0.95, 0.95, 0.77, 0.56],\n", "):\n", " ax.plot(xvalues, tau * xvalues, color=\"tab:gray\", linestyle=\"dashed\", linewidth=1)\n", " exp = np.log10(tau)\n", " txt = fr\"10$^{exp:.0f}$\" if exp > 0 else f\"{tau:.1f}\"\n", " ax.text(x, y, txt, c=\"tab:gray\", transform=ax.transAxes)\n", " \n", "ax.text(0.68, 0.2, r\"Less $\\tau$ [s]\", c=\"tab:gray\", transform=ax.transAxes)\n", "ax.text(0.68, 0.15, r\"Xia et al. faster\", c=\"tab:gray\", transform=ax.transAxes)\n", "ax.text(0.68, 0.1, r\"charging\", c=\"tab:gray\", transform=ax.transAxes)\n", "\n", "marker, color = {}, {}\n", "for material, m, c in zip(\n", " (\"LCO\", \"LMO\", \"LTO\", \"LFP\", \"Ternary\", \"Graphite\"), \n", " (\"s\", \"o\", \"D\", \"^\", \"v\", \"<\"), \n", " (None, \"red\", \"pink\", \"blue\", \"green\", \"orange\")\n", "):\n", " marker[material] = m\n", " color[material] = f\"tab:{c}\" if c is not None else \"k\"\n", "\n", "for m, d, dcoeff, tau in dataset[\n", " [\"Material\", \"d_mean_micro\", \"dcoeff_midpoint_cm2s\", \"fom\"]\n", "].values:\n", " ax.scatter(1e-4 * dcoeff, (1e-6 * d)**2, marker=marker[m], color=color[m], label=m)\n", "\n", "ax.set_xlim((7e-20, 1e-8))\n", "ax.set_xlabel(r\"Diffusion coefficient $D$ [m$^2$/s]\")\n", "ax.set_xscale(\"log\")\n", "\n", "ax.set_ylim((1e-15, 1e-6))\n", "ax.set_ylabel(r\"Square of geometric size $d^2$ [$m^2$]\")\n", "ax.set_yscale(\"log\")\n", "\n", "handles, labels = ax.get_legend_handles_labels()\n", "unique_labels, unique_handles = {}, []\n", "for label, handle in zip(labels, handles):\n", " if label not in unique_labels:\n", " unique_labels[label] = handle\n", " unique_handles.append(handle)\n", "\n", "ax.legend(unique_handles, unique_labels.keys())\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## BMXFC\n", "\n", "This universal metric for Benchmarking battery electrode Materials for eXtreme Fast-Charging (BMXFC) is defined as the State-of-Charge reached when a material is charged for 15 minutes under constant current conditions. It gives possible values between 0 and 1 and it is directly the percentage of charge retained." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "dataset[\"full_bmxfc\"] = [\n", " gp.metric.bmxfc(\n", " {\"d\": 1.0e-4 * d, \"dcoeff_\": dcoeff, \"k0_\": 5.0e-8}, full_output=True\n", " )\n", " for m, d, dcoeff, tau in dataset[\n", " [\"Material\", \"d_mean_micro\", \"dcoeff_midpoint_cm2s\", \"fom\"]\n", " ].values\n", "]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This full_output returns not only the bmxfc value, but also if it meets the fast charging criteria ($\\text{BMXFC} \\geq 0.8$), and a `GalvanostaticRegressor` object to plot each material in the map and make predictions." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "dataset[\"full_bmxfc\"][0][\"greg\"].plot.render_map(ax=ax, clb_label=\"BMXFC\")\n", "\n", "for m, material in dataset[[\"Material\", \"full_bmxfc\"]].values:\n", " ax = material[\"greg\"].plot.in_render_map(\n", " np.array([[4.0]]), ax=ax, marker=marker[m], color=color[m], label=m\n", " )\n", " \n", "ax.set_xlim((-4, 1.75))\n", "ax.set_ylim((-3.5, 2))\n", "\n", "ax.legend(unique_handles, unique_labels.keys(), ncol=6, loc=(-0.25, 1.05))\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see here which materials are classified as fast charging ones (yellow zone) and which are not (purple zone)." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 4 }