{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting features in GITT data\n", "\n", "In this example we show how to extract features from GITT data to be used in objective functions instead of directly fitting the data. We use the features defined in \"Bayesian parameterization of continuum battery models from featurized electrochemical measurements considering noise.\", Kuhn et al., 2023. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pybamm\n", "import pandas as pd\n", "import ionworkspipeline as iwp\n", "import matplotlib.pyplot as plt\n", "from matplotlib.patches import FancyArrowPatch\n", "from scipy.integrate import cumulative_trapezoid\n", "from functools import partial" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Generate data" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We begin by generating synthetic data for a half-cell. For this example we simply generate a few cycles of a GITT experiment." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model = pybamm.lithium_ion.SPM({\"working electrode\": \"positive\"})\n", "\n", "parameter_values = pybamm.ParameterValues(\"Xu2019\")\n", "\n", "\n", "def j0(c_e, c_s_surf, c_s_max, T):\n", " j0_ref = pybamm.Parameter(\n", " \"Positive electrode reference exchange-current density [A.m-2]\"\n", " )\n", " c_e_init = pybamm.Parameter(\"Initial concentration in electrolyte [mol.m-3]\")\n", "\n", " return (\n", " j0_ref\n", " * (c_e / c_e_init) ** 0.5\n", " * (c_s_surf / c_s_max) ** 0.5\n", " * (1 - c_s_surf / c_s_max) ** 0.5\n", " )\n", "\n", "\n", "parameter_values.update(\n", " {\n", " \"Positive electrode reference exchange-current density [A.m-2]\": 5,\n", " \"Positive electrode exchange-current density [A.m-2]\": j0,\n", " \"Positive particle diffusivity [m2.s-1]\": 1e-14,\n", " },\n", " check_already_exists=False,\n", ")\n", "\n", "C_rate = 1 / 15\n", "pause_h = 30 / 60 / 60\n", "step_h = 0.1\n", "rest_h = 0.2\n", "V_min = parameter_values[\"Lower voltage cut-off [V]\"]\n", "V_max = parameter_values[\"Upper voltage cut-off [V]\"]\n", "experiment = pybamm.Experiment(\n", " [\n", " (\n", " f\"Rest for {pause_h} hour (1 second period)\",\n", " f\"Discharge at {C_rate} C for {step_h} hour or until {V_min} V (1 second period)\",\n", " f\"Rest for {rest_h} hour (1 second period)\",\n", " ),\n", " ]\n", " * 3\n", ")\n", "\n", "sim = pybamm.Simulation(model, parameter_values=parameter_values, experiment=experiment)\n", "sim.solve()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We save the results to a dataframe" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "variables = [\"Time [s]\", \"Time [h]\", \"Current [A]\", \"Voltage [V]\"]\n", "df = pd.DataFrame(sim.solution.get_data_dict(variables))\n", "df = df.rename(columns={\"Cycle\": \"Cycle number\", \"Step\": \"Step number\"})\n", "t_h = df[\"Time [h]\"].values\n", "currents = df[\"Current [A]\"].values\n", "Q = cumulative_trapezoid(currents, t_h, initial=0)\n", "df[\"Capacity [A.h]\"] = Q" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Extracting features" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Next we extract the features from the data and save them to a dataframe using the function `iwp.objectives.pulse.gitt_features_objective_variables`. When doing so, we pass in the step numbers which correspond to the pulse and rest steps. \n", "\n", "Let's look at the features of the first cycle" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "data = df[df[\"Cycle number\"] == 0]\n", "data[\"Overpotential [mV]\"] = (data[\"Voltage [V]\"] - data[\"Voltage [V]\"].iloc[0]) * 1000\n", "\n", "pulse_step_num = 1\n", "gitt_features = iwp.objectives.pulse.gitt_features_objective_variables(\n", " data,\n", " step_nums=[pulse_step_num],\n", " full_output=True,\n", ")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We then plot the features against the synthetic data" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Overpotential [mV]')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "# plot overpotential during the pulse and rest steps\n", "t = data[\"Time [s]\"].values\n", "eta = data[\"Overpotential [mV]\"].values\n", "ax.plot(t, eta)\n", "\n", "# plot the GITT features\n", "\n", "# ohmic drop\n", "eta_r = gitt_features[\"U0_gitt_step_1\"][0]\n", "x_loc = 200\n", "ax.add_artist(\n", " FancyArrowPatch(\n", " (x_loc, eta_r),\n", " (x_loc, 0),\n", " arrowstyle=\"<->\",\n", " color=\"orange\",\n", " mutation_scale=15,\n", " linewidth=2,\n", " )\n", ")\n", "ax.hlines(eta_r, xmin=t[0], xmax=x_loc, color=\"orange\", linestyle=\":\")\n", "ax.annotate(\"ohmic drop\", (x_loc + 25, eta_r / 2), color=\"orange\")\n", "\n", "# square-root slope (GITT)\n", "t_gitt = gitt_features[\"t_gitt_step_1\"]\n", "U_gitt = gitt_features[\"U_gitt_step_1\"]\n", "ax.plot(t_gitt, U_gitt, color=\"green\", linestyle=\"--\", linewidth=2)\n", "ax.annotate(\"square-root \\nslope (GITT)\", (70, -3.5), color=\"green\")\n", "\n", "# exponential relaxation\n", "t_exp = gitt_features[\"t_exp_step_1\"]\n", "U_exp = gitt_features[\"U_exp_step_1\"]\n", "ax.plot(t_exp, U_exp, color=\"red\", linestyle=\"--\", linewidth=2)\n", "ax.annotate(\"exponential \\nrelaxation\", (50, -8), color=\"red\")\n", "\n", "# square-root slope (ICI)\n", "t_ici = gitt_features[\"t_ici_step_1\"]\n", "U_ici = gitt_features[\"U_ici_step_1\"]\n", "ax.plot(t_ici, U_ici, color=\"purple\", linestyle=\"--\", linewidth=2)\n", "ax.annotate(\"square-root \\nslope (ICI)\", (340, -5.5), color=\"purple\")\n", "\n", "# concentration overpotential\n", "eta_c = gitt_features[\"U0_ici_step_1\"][0]\n", "x_loc = 600\n", "ax.add_artist(\n", " FancyArrowPatch(\n", " (x_loc, eta_c),\n", " (x_loc, 0),\n", " arrowstyle=\"<->\",\n", " color=\"pink\",\n", " mutation_scale=15,\n", " linewidth=2,\n", " )\n", ")\n", "ax.hlines(eta_c, xmin=t_ici[0], xmax=x_loc, color=\"pink\", linestyle=\":\")\n", "ax.annotate(\"concentration \\noverpotential\", (x_loc + 25, eta_c / 2), color=\"pink\")\n", "\n", "ax.set_xlim([0, 900])\n", "ax.set_ylim([-10, 1])\n", "ax.set_xlabel(\"Time [s]\")\n", "ax.set_ylabel(\"Overpotential [mV]\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting the features" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "To use these features when fitting data, we can pass the function `gitt_features_objective_variable` to the `Pulse` objective class using the `objective variables` key in the `options` dictionary. Any keyword arguments can be passed to the function using the `objective_variables_kwargs` key in the `options` dictionary. Other useful objective variables functions include `overpotential_objective_variables`, which calculates the overpotentials at the specified times, and `ici_features_objective_variables`, which calculates the features for the Intermittent Current Interruption experiment (see \"Implementing intermittent current interruption into Li-ion cell modelling for improved battery diagnostics.\", Yin et al., 2022 for details).\n", "\n", "Let's compare fitting the features with fitting the data directly." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'Positive particle diffusivity [m2.s-1]': 9.990541288627476e-15, 'Positive electrode reference exchange-current density [A.m-2]': 5.015888954457898}\n", "{'Positive particle diffusivity [m2.s-1]': 1.2097051144064277e-14, 'Positive electrode reference exchange-current density [A.m-2]': 4.926338504829238}\n" ] }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "parameters = {\n", " \"Positive particle diffusivity [m2.s-1]\": iwp.Parameter(\n", " \"D_s\", initial_value=1e-14, bounds=(5e-15, 5e-13)\n", " ),\n", " \"Positive electrode reference exchange-current density [A.m-2]\": iwp.Parameter(\n", " \"j0\", initial_value=5, bounds=(0.1, 10)\n", " ),\n", "}\n", "parameters_for_pipeline = {\n", " k: v for k, v in parameter_values.items() if k not in parameters.keys()\n", "}\n", "\n", "objective_variables_fns = [\n", " iwp.objectives.pulse.voltage_objective_variables,\n", " partial(\n", " iwp.objectives.pulse.gitt_features_objective_variables, step_nums=[1]\n", " ), # pulse step\n", "]\n", "params_fit_list = []\n", "for objective_variables_fn in objective_variables_fns:\n", " objectives = iwp.objectives.pulse.get_pulse_objectives_by_cycle(\n", " data,\n", " options={\n", " \"model\": model,\n", " \"objective variables\": objective_variables_fn,\n", " \"solver\": pybamm.IDAKLUSolver(),\n", " },\n", " )\n", " gitt_half_cell = iwp.DataFit(objectives, parameters=parameters)\n", " params_fit = gitt_half_cell.run(parameters_for_pipeline)\n", " params_fit_list.append(params_fit)\n", " print(params_fit)\n", "\n", " gitt_half_cell.plot_fit_results()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "For synthetic data, fitting the voltage directly gives better results than fitting the features. However, in practice, fitting the features can be more robust to noise and other model or experimental errors." ] } ], "metadata": { "kernelspec": { "display_name": "iwp", "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": "6b12f1f625627d6c4a17ef696ddbbbd9bd4b12881121180de40e09e7956aa05c" } } }, "nbformat": 4, "nbformat_minor": 2 }