{ "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 fitted 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, options={\"constrain_Xj\": \"false\"}\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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", "text/plain": [ "
" ] }, "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: 3.800402139864376 A.h\n", "Fitted Silicon capacity: 0.4994508728369073 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": [ "and we see we have good agreement 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." ] } ], "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": "3.11.9" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "938a56cf8cc78a970178b6cd91dbc2084cfe03b4ddf365fda3eb6d44738b4092" } } }, "nbformat": 4, "nbformat_minor": 2 }