{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting LAM in composite electrodes\n", "\n", "In this example, we show how to use the MSMR model to fit the capacity of different materials in a composite electrode. We generate synthetic half-cell data for a composite electrode with two materials in a fresh and aged state and use the MSMR model to fit the capacity of each material in the aged data." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pybamm\n", "import ionworkspipeline as iwp\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We generate synthetic data by specifying the capacity of the graphite and silicon in the composite. Let's define the base parameter values and a function to generate the synthetic data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Specify MSMR parameters with the total graphite and silicon capacities left as parameters\n", "# that can be varied\n", "gr_cap = pybamm.Parameter(\"Graphite capacity [A.h]\")\n", "si_cap = pybamm.Parameter(\"Silicon capacity [A.h]\")\n", "parameter_values = {\n", " # MSMR parameters - graphite\n", " \"U0_n_0\": 0.08843467036305873,\n", " \"Q_n_0\": 0.43336 * gr_cap,\n", " \"w_n_0\": 0.08624582794789712,\n", " \"U0_n_1\": 0.12798999719375143,\n", " \"Q_n_1\": 0.23963 * gr_cap,\n", " \"w_n_1\": 0.08027331262623288,\n", " \"U0_n_2\": 0.14330798736501915,\n", " \"Q_n_2\": 0.15018 * gr_cap,\n", " \"w_n_2\": 0.7251288122409935,\n", " \"U0_n_3\": 0.170820726326599,\n", " \"Q_n_3\": 0.05462 * gr_cap,\n", " \"w_n_3\": 2.5206592503098726,\n", " \"U0_n_4\": 0.21446035430385701,\n", " \"Q_n_4\": 0.06744 * gr_cap,\n", " \"w_n_4\": 0.0948564197626504,\n", " \"U0_n_5\": 0.3607980467134248,\n", " \"Q_n_5\": 0.05476 * gr_cap,\n", " \"w_n_5\": 6.133684065785475,\n", " # MSMR parameters - silicon\n", " \"U0_n_6\": 0.12522011472333466,\n", " \"Q_n_6\": 0.21834 * si_cap,\n", " \"w_n_6\": 0.10933476524461729,\n", " \"U0_n_7\": 0.1842071161944969,\n", " \"Q_n_7\": 0.23264 * si_cap,\n", " \"w_n_7\": 0.16781090721088374,\n", " \"U0_n_8\": 0.14648529724013823,\n", " \"Q_n_8\": 0.42492 * si_cap,\n", " \"w_n_8\": 0.5746396954282488,\n", " \"U0_n_9\": 0.4698932042915728,\n", " \"Q_n_9\": 0.12410 * si_cap,\n", " \"w_n_9\": 1.0155683156057957,\n", " \"Ambient temperature [K]\": 298.15,\n", " \"Negative electrode lower excess capacity [A.h]\": 0,\n", " \"Negative electrode capacity [A.h]\": gr_cap + si_cap,\n", "}\n", "\n", "\n", "def generate_data(parameter_values, gr_cap, si_cap):\n", " # Add capacity values to parameter_values\n", " parameter_values = parameter_values.copy()\n", " parameter_values[\"Graphite capacity [A.h]\"] = gr_cap\n", " parameter_values[\"Silicon capacity [A.h]\"] = si_cap\n", "\n", " # Get capacity as a function of voltage\n", " n_species = len([k for k in parameter_values.keys() if \"U0_n\" in k])\n", " q_n_fun = iwp.objectives.get_q_half_cell_msmr(\n", " n_species, \"negative\", species_format=\"Qj\"\n", " )\n", " U_n = np.linspace(1.5, 0.01, 1000)\n", " q_n = (\n", " pybamm.ParameterValues(parameter_values)\n", " .process_symbol(q_n_fun(U_n))\n", " .evaluate()\n", " .flatten()\n", " )\n", " data = pd.DataFrame({\"Capacity [A.h]\": q_n, \"Voltage [V]\": U_n})\n", "\n", " return data" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "In this example, the fresh cell has a total capacity of 5 Ah, and silicon makes up 20% of the capacity of the composite. We generate aged data for a composite where the graphite capacity has reduced to 3.8 Ah and the silicon capacity has reduced to 0.5 Ah." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "fresh_gr_cap, fresh_si_cap = 4, 1\n", "fresh_data = generate_data(parameter_values, fresh_gr_cap, fresh_si_cap)\n", "aged_gr_cap, aged_si_cap = 3.8, 0.5\n", "aged_data = generate_data(parameter_values, aged_gr_cap, aged_si_cap)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Next we plot the \"data\"." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 0.4)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(12, 6))\n", "for label, data in zip([\"fresh\", \"aged\"], [fresh_data, aged_data]):\n", " q = data[\"Capacity [A.h]\"]\n", " U = data[\"Voltage [V]\"]\n", " dUdQ = -np.gradient(U, q)\n", " ax[0].plot(q, U, label=label)\n", " ax[1].plot(q, dUdQ, label=label)\n", "ax[0].set_xlabel(\"Capacity [A.h]\")\n", "ax[0].set_ylabel(\"Voltage [V]\")\n", "ax[0].legend()\n", "ax[1].set_xlabel(\"Capacity [A.h]\")\n", "ax[1].set_ylabel(\"dU/dQ [V/A.h]\")\n", "ax[1].set_ylim(0, 0.4)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now we will use the MSMR model to fit the total capacity of each material in the composite in the aged data. We will assume that the reference potentials $U^0_j$ and the order parameters $\\omega_j$ are the same as in the fresh data. We also assume that the site fractions $X_j = Q_j / Q$, where $Q$ is the total capacity, stay the same. In practice different degradation mechanisms may affect the MSMR parameters differently. \n", "\n", "For the capacity parameters we use the fresh parameter values as an initial guess (in practice we would have fit these to fresh cell data first)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "Q_use = aged_data[\"Capacity [A.h]\"].max()\n", "parameters = {\n", " \"Graphite capacity [A.h]\": iwp.Parameter(\n", " \"Q_gr\", initial_value=fresh_gr_cap, bounds=(0, Q_use)\n", " ),\n", " \"Silicon capacity [A.h]\": iwp.Parameter(\n", " \"Q_si\", initial_value=fresh_si_cap, bounds=(0, Q_use)\n", " ),\n", "}" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We set up and run the MSMR fit" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# set up the half-cell MSMR objective and data fit\n", "objective = iwp.objectives.MSMRHalfCell(\n", " \"negative\", aged_data,\n", ")\n", "ocp_msmr = iwp.DataFit(objective, parameters=parameters)\n", "\n", "# The MSMRHalfCell objective expects both the Xj and Qj parameters, so we add them to the\n", "# parameter_values dictionary before fitting.\n", "parameter_values.update(iwp.objectives.msmr_Qj_to_Xj(parameter_values, \"negative\"))\n", "\n", "# Run the fit, passing in the known parameter values (we only fit Q_gr and Q_si)\n", "fitted_parameters = ocp_msmr.run(parameter_values)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "and plot the results." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'MSMRHalfCell': [(
,\n", " array([,\n", " ,\n", " ], dtype=object))]}" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = ocp_msmr.plot_fit_results()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can calculate the capacity of each material in the aged data by summing the capacity of each reaction that corresponds to that material." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fitted Graphite capacity: 3.8003775240238102 A.h\n", "Fitted Silicon capacity: 0.4994752175845693 A.h\n" ] } ], "source": [ "gr_cap = fitted_parameters[\"Graphite capacity [A.h]\"]\n", "si_cap = fitted_parameters[\"Silicon capacity [A.h]\"]\n", "print(f\"Fitted Graphite capacity: {gr_cap} A.h\")\n", "print(f\"Fitted Silicon capacity: {si_cap} A.h\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We see that the fit values agree well with the values used to generate the aged data." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "In this example, we have used the MSMR model to fit the capacity of different materials in a composite electrode. However, a similar approach could be used on full cell data using the `MSMRFullCell` objective instead." ] }, { "cell_type": "markdown", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "bppenv", "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": "3.11.6" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "938a56cf8cc78a970178b6cd91dbc2084cfe03b4ddf365fda3eb6d44738b4092" } } }, "nbformat": 4, "nbformat_minor": 2 }