diff --git a/examples/notebooks/models/coupled-degradation.ipynb b/examples/notebooks/models/coupled-degradation.ipynb new file mode 100644 index 0000000000..7fc207bdb1 --- /dev/null +++ b/examples/notebooks/models/coupled-degradation.ipynb @@ -0,0 +1,363 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "7008f034", + "metadata": {}, + "source": [ + "# Modelling coupled degradation mechanisms in PyBaMM\n", + "\n", + "This notebook shows how to set up a PyBaMM model in which many degradation mechanisms run at the same time and interact with one another." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "17767d1a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m A new release of pip available: \u001b[0m\u001b[31;49m22.3.1\u001b[0m\u001b[39;49m -> \u001b[0m\u001b[32;49m23.1.2\u001b[0m\n", + "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m To update, run: \u001b[0m\u001b[32;49mpip install --upgrade pip\u001b[0m\n", + "Note: you may need to restart the kernel to use updated packages.\n" + ] + } + ], + "source": [ + "%pip install pybamm -q # install PyBaMM if it is not installed\n", + "import pybamm\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "id": "a484509e", + "metadata": {}, + "source": [ + "O'Kane et al. [10] modelled four coupled degradation mechanisms: SEI growth, lithium plating, particle cracking and stress-driven loss of active material. The \"SEI on cracks\" option couples SEI growth and particle cracking by allowing SEI to grow on the cracks. The \"partially reversible\" option for lithium plating allows the SEI to influence the irreversible component of plating using a function in the OKane2022 parameter file. Particle cracking and stress-driven loss of active material are coupled by default because the stress-strain relations inside the particles are an input for both." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "ee67a29f", + "metadata": {}, + "outputs": [], + "source": [ + "model = pybamm.lithium_ion.DFN(\n", + " {\n", + " \"SEI\": \"solvent-diffusion limited\",\n", + " \"SEI porosity change\": \"true\",\n", + " \"lithium plating\": \"partially reversible\",\n", + " \"lithium plating porosity change\": \"true\", # alias for \"SEI porosity change\"\n", + " \"particle mechanics\": (\"swelling and cracking\", \"swelling only\"),\n", + " \"SEI on cracks\": \"true\",\n", + " \"loss of active material\": \"stress-driven\",\n", + " \"calculate discharge energy\": \"true\", # for compatibility with older PyBaMM versions\n", + " }\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "5d85aaac", + "metadata": {}, + "source": [ + "Depending on the parameter set being used, the particle cracking model can require a large number of mesh points inside the particles to be numerically stable." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a4ac7774", + "metadata": {}, + "outputs": [], + "source": [ + "param = pybamm.ParameterValues(\"OKane2022\")\n", + "var_pts = {\n", + " \"x_n\": 5, # negative electrode\n", + " \"x_s\": 5, # separator \n", + " \"x_p\": 5, # positive electrode\n", + " \"r_n\": 30, # negative particle\n", + " \"r_p\": 30, # positive particle\n", + "}" + ] + }, + { + "cell_type": "markdown", + "id": "03273e06", + "metadata": {}, + "source": [ + "Define a cycling protocol and solve. The protocol from O'Kane et al. [10] is used here, except with 10 ageing cycles instead of 1000." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "23cab5d3", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "At t = 429.694 and h = 1.90845e-11, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 189.694 and h = 1.08118e-11, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 429.056 and h = 1.03275e-11, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 189.056 and h = 1.55345e-11, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 428.452 and h = 1.07163e-11, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 188.452 and h = 5.62564e-12, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 427.875 and h = 8.65593e-12, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 187.875 and h = 4.92298e-12, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 427.318 and h = 5.26578e-12, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 187.318 and h = 1.08486e-11, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 426.78 and h = 4.79552e-12, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 106.749 and h = 7.30642e-10, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 426.258 and h = 8.10498e-12, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 186.258 and h = 4.4419e-12, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 425.75 and h = 1.46805e-11, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 185.75 and h = 3.2172e-12, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 425.256 and h = 1.55841e-11, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 185.257 and h = 1.08843e-11, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 424.777 and h = 2.85638e-12, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 184.777 and h = 9.16801e-12, the corrector convergence failed repeatedly or with |h| = hmin.\n" + ] + } + ], + "source": [ + "cycle_number = 10\n", + "exp = pybamm.Experiment(\n", + " [\"Hold at 4.2 V until C/100 (5 minute period)\",\n", + " \"Rest for 4 hours (5 minute period)\",\n", + " \"Discharge at 0.1C until 2.5 V (5 minute period)\", # initial capacity check\n", + " \"Charge at 0.3C until 4.2 V (5 minute period)\",\n", + " \"Hold at 4.2 V until C/100 (5 minute period)\",]\n", + " + [(\"Discharge at 1C until 2.5 V\", # ageing cycles\n", + " \"Charge at 0.3C until 4.2 V (5 minute period)\",\n", + " \"Hold at 4.2 V until C/100 (5 minute period)\",)] * cycle_number\n", + " + [\"Discharge at 0.1C until 2.5 V (5 minute period)\"] # final capacity check\n", + ")\n", + "sim = pybamm.Simulation(model, parameter_values=param, experiment=exp, var_pts=var_pts)\n", + "sol = sim.solve()" + ] + }, + { + "cell_type": "markdown", + "id": "ff476a16", + "metadata": {}, + "source": [ + "Three of the degradation mechanisms - SEI, lithium plating and SEI on cracks - cause loss of lithium inventory (LLI). Plotting the different contributions to LLI against throughput capacity as opposed to cycle number allows them to be considered as continuous variables as opposed to discrete ones." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "5ef3e369", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "Qt = sol[\"Throughput capacity [A.h]\"].entries\n", + "Q_SEI = sol[\"Loss of capacity to SEI [A.h]\"].entries\n", + "Q_SEI_cr = sol[\"Loss of capacity to SEI on cracks [A.h]\"].entries\n", + "Q_plating = sol[\"Loss of capacity to lithium plating [A.h]\"].entries\n", + "Q_side = sol[\"Total capacity lost to side reactions [A.h]\"].entries\n", + "Q_LLI = sol[\"Total lithium lost [mol]\"].entries * 96485.3 / 3600 # convert from mol to A.h\n", + "plt.figure()\n", + "plt.plot(Qt,Q_SEI,label=\"SEI\",linestyle=\"dashed\")\n", + "plt.plot(Qt,Q_SEI_cr,label=\"SEI on cracks\",linestyle=\"dashdot\")\n", + "plt.plot(Qt,Q_plating,label=\"Li plating\",linestyle=\"dotted\")\n", + "plt.plot(Qt,Q_side,label=\"All side reactions\",linestyle=(0,(6,1)))\n", + "plt.plot(Qt,Q_LLI,label=\"All LLI\")\n", + "plt.xlabel(\"Throughput capacity [A.h]\")\n", + "plt.ylabel(\"Capacity loss [A.h]\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "498f26f1", + "metadata": {}, + "source": [ + "The capacity loss over 10 cycles is so small that the reversible component of the lithium plating is has a larger effect than all the irreversible mechanisms combined. Most of the irreversible capacity fade that does occur is caused by SEI on cracks." + ] + }, + { + "cell_type": "markdown", + "id": "8becb1ba", + "metadata": {}, + "source": [ + "The stress-driven loss of active material (LAM) mechanism [10,11] is also included, so the three main degradation modes - LLI and LAM in each electrode - can be plotted and compared." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "7b7c23ec", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "Qt = sol[\"Throughput capacity [A.h]\"].entries\n", + "LLI = sol[\"Loss of lithium inventory [%]\"].entries\n", + "LAM_neg = sol[\"Loss of active material in negative electrode [%]\"].entries\n", + "LAM_pos = sol[\"Loss of active material in positive electrode [%]\"].entries\n", + "plt.figure()\n", + "plt.plot(Qt,LLI,label=\"LLI\")\n", + "plt.plot(Qt,LAM_neg,label=\"LAM (negative)\")\n", + "plt.plot(Qt,LAM_pos,label=\"LAM (positive)\")\n", + "plt.xlabel(\"Throughput capacity [A.h]\")\n", + "plt.ylabel(\"Degradation modes [%]\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "2a7849de", + "metadata": {}, + "source": [ + "Both the reversible and irreversible components of LLI are far greater than LAM for this parameter set." + ] + }, + { + "cell_type": "markdown", + "id": "ddfb75d0", + "metadata": {}, + "source": [ + "A key internal variable is the porosity. Pore clogging by SEI, lithium plating and other means can trigger other degradation mechanisms and reduce the rate capability of the cell. If the porosity reaches zero, the cell becomes completely unusable and PyBaMM will terminate the simulation." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "62f58679", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "eps_neg_avg = sol[\"X-averaged negative electrode porosity\"].entries\n", + "eps_neg_sep = sol[\"Negative electrode porosity\"].entries[-1,:]\n", + "eps_neg_CC = sol[\"Negative electrode porosity\"].entries[0,:]\n", + "plt.figure()\n", + "plt.plot(Qt,eps_neg_avg,label=\"Average\")\n", + "plt.plot(Qt,eps_neg_sep,label=\"Separator\",linestyle=\"dotted\")\n", + "plt.plot(Qt,eps_neg_CC,label=\"Current collector\",linestyle=\"dashed\")\n", + "plt.xlabel(\"Throughput capacity [A.h]\")\n", + "plt.ylabel(\"Negative electrode porosity\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "74354b2a", + "metadata": {}, + "source": [ + "If you want to see some serious degradation, try re-running the simulation with more ageing cycles, or using param.update({}) to increase the degradation parameters beyond the ranges considered by O'Kane et al. [10]" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "eccf5c25", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] Weilong Ai, Ludwig Kraft, Johannes Sturm, Andreas Jossen, and Billy Wu. Electrochemical thermal-mechanical modelling of stress inhomogeneity in lithium-ion pouch cells. Journal of The Electrochemical Society, 167(1):013512, 2019. doi:10.1149/2.0122001JES.\n", + "[2] Joel A. E. Andersson, Joris Gillis, Greg Horn, James B. Rawlings, and Moritz Diehl. CasADi – A software framework for nonlinear optimization and optimal control. Mathematical Programming Computation, 11(1):1–36, 2019. doi:10.1007/s12532-018-0139-4.\n", + "[3] Chang-Hui Chen, Ferran Brosa Planella, Kieran O'Regan, Dominika Gastol, W. Dhammika Widanage, and Emma Kendrick. Development of Experimental Techniques for Parameterization of Multi-scale Lithium-ion Battery Models. Journal of The Electrochemical Society, 167(8):080534, 2020. doi:10.1149/1945-7111/ab9050.\n", + "[4] Rutooj Deshpande, Mark Verbrugge, Yang-Tse Cheng, John Wang, and Ping Liu. Battery cycle life prediction with coupled chemical degradation and fatigue mechanics. Journal of the Electrochemical Society, 159(10):A1730, 2012. doi:10.1149/2.049210jes.\n", + "[5] Marc Doyle, Thomas F. Fuller, and John Newman. Modeling of galvanostatic charge and discharge of the lithium/polymer/insertion cell. Journal of the Electrochemical society, 140(6):1526–1533, 1993. doi:10.1149/1.2221597.\n", + "[6] Charles R. Harris, K. Jarrod Millman, Stéfan J. van der Walt, Ralf Gommers, Pauli Virtanen, David Cournapeau, Eric Wieser, Julian Taylor, Sebastian Berg, Nathaniel J. Smith, and others. Array programming with NumPy. Nature, 585(7825):357–362, 2020. doi:10.1038/s41586-020-2649-2.\n", + "[7] Scott G. Marquis. Long-term degradation of lithium-ion batteries. PhD thesis, University of Oxford, 2020.\n", + "[8] Peyman Mohtat, Suhak Lee, Jason B Siegel, and Anna G Stefanopoulou. Towards better estimability of electrode-specific state of health: decoding the cell expansion. Journal of Power Sources, 427:101–111, 2019.\n", + "[9] Simon E. J. O'Kane, Ian D. Campbell, Mohamed W. J. Marzook, Gregory J. Offer, and Monica Marinescu. Physical origin of the differential voltage minimum associated with lithium plating in li-ion batteries. Journal of The Electrochemical Society, 167(9):090540, may 2020. URL: https://doi.org/10.1149/1945-7111/ab90ac, doi:10.1149/1945-7111/ab90ac.\n", + "[10] Simon E. J. O'Kane, Weilong Ai, Ganesh Madabattula, Diego Alonso-Alvarez, Robert Timms, Valentin Sulzer, Jacqueline Sophie Edge, Billy Wu, Gregory J. Offer, and Monica Marinescu. Lithium-ion battery degradation: how to model it. Phys. Chem. Chem. Phys., 24:7909-7922, 2022. URL: http://dx.doi.org/10.1039/D2CP00417H, doi:10.1039/D2CP00417H.\n", + "[11] Jorn M. Reniers, Grietus Mulder, and David A. Howey. Review and performance comparison of mechanical-chemical degradation models for lithium-ion batteries. Journal of The Electrochemical Society, 166(14):A3189, 2019. doi:10.1149/2.0281914jes.\n", + "[12] Valentin Sulzer, Scott G. Marquis, Robert Timms, Martin Robinson, and S. Jon Chapman. Python Battery Mathematical Modelling (PyBaMM). Journal of Open Research Software, 9(1):14, 2021. doi:10.5334/jors.309.\n", + "[13] Pauli Virtanen, Ralf Gommers, Travis E. Oliphant, Matt Haberland, Tyler Reddy, David Cournapeau, Evgeni Burovski, Pearu Peterson, Warren Weckesser, Jonathan Bright, and others. SciPy 1.0: fundamental algorithms for scientific computing in Python. Nature Methods, 17(3):261–272, 2020. doi:10.1038/s41592-019-0686-2.\n", + "[14] Andrew Weng, Jason B Siegel, and Anna Stefanopoulou. Differential voltage analysis for battery manufacturing process control. arXiv preprint arXiv:2303.07088, 2023.\n", + "\n" + ] + } + ], + "source": [ + "pybamm.print_citations()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "50f2ca6d", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": 5 +} diff --git a/examples/notebooks/models/lithium-plating.ipynb b/examples/notebooks/models/lithium-plating.ipynb index 1bf9ffe80f..7b6bf56d0c 100644 --- a/examples/notebooks/models/lithium-plating.ipynb +++ b/examples/notebooks/models/lithium-plating.ipynb @@ -335,7 +335,7 @@ ], "metadata": { "kernelspec": { - "display_name": "pybamm", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -349,7 +349,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.16" + "version": "3.8.10" }, "toc": { "base_numbering": 1, diff --git a/examples/notebooks/simulating-long-experiments.ipynb b/examples/notebooks/simulating-long-experiments.ipynb index 33a9b5825e..38d92cc2b7 100644 --- a/examples/notebooks/simulating-long-experiments.ipynb +++ b/examples/notebooks/simulating-long-experiments.ipynb @@ -1925,7 +1925,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.13" + "version": "3.8.10" }, "toc": { "base_numbering": 1, diff --git a/pybamm/models/submodels/external_circuit/base_external_circuit.py b/pybamm/models/submodels/external_circuit/base_external_circuit.py index 7c0f27e305..713616c063 100644 --- a/pybamm/models/submodels/external_circuit/base_external_circuit.py +++ b/pybamm/models/submodels/external_circuit/base_external_circuit.py @@ -13,19 +13,22 @@ def __init__(self, param, options): def get_fundamental_variables(self): Q_Ah = pybamm.Variable("Discharge capacity [A.h]") Q_Ah.print_name = "Q_Ah" + # Throughput capacity (cumulative) + Qt_Ah = pybamm.Variable("Throughput capacity [A.h]") + Qt_Ah.print_name = "Qt_Ah" - variables = {"Discharge capacity [A.h]": Q_Ah} + variables = { + "Discharge capacity [A.h]": Q_Ah, + "Throughput capacity [A.h]": Qt_Ah, + } if self.options["calculate discharge energy"] == "true": Q_Wh = pybamm.Variable("Discharge energy [W.h]") - - # Throughput capacity and energy (cumulative) - Qt_Ah = pybamm.Variable("Throughput capacity [A.h]") + # Throughput energy (cumulative) Qt_Wh = pybamm.Variable("Throughput energy [W.h]") variables.update( { "Discharge energy [W.h]": Q_Wh, "Throughput energy [W.h]": Qt_Wh, - "Throughput capacity [A.h]": Qt_Ah, } ) else: @@ -33,33 +36,31 @@ def get_fundamental_variables(self): { "Discharge energy [W.h]": pybamm.Scalar(0), "Throughput energy [W.h]": pybamm.Scalar(0), - "Throughput capacity [A.h]": pybamm.Scalar(0), } ) return variables def set_initial_conditions(self, variables): Q_Ah = variables["Discharge capacity [A.h]"] + Qt_Ah = variables["Throughput capacity [A.h]"] self.initial_conditions[Q_Ah] = pybamm.Scalar(0) + self.initial_conditions[Qt_Ah] = pybamm.Scalar(0) if self.options["calculate discharge energy"] == "true": Q_Wh = variables["Discharge energy [W.h]"] Qt_Wh = variables["Throughput energy [W.h]"] - Qt_Ah = variables["Throughput capacity [A.h]"] self.initial_conditions[Q_Wh] = pybamm.Scalar(0) self.initial_conditions[Qt_Wh] = pybamm.Scalar(0) - self.initial_conditions[Qt_Ah] = pybamm.Scalar(0) def set_rhs(self, variables): # ODEs for discharge capacity and throughput capacity Q_Ah = variables["Discharge capacity [A.h]"] + Qt_Ah = variables["Throughput capacity [A.h]"] I = variables["Current [A]"] - - self.rhs[Q_Ah] = I / 3600 + self.rhs[Q_Ah] = I / 3600 # Returns to zero after a complete cycle + self.rhs[Qt_Ah] = abs(I) / 3600 # Increases with each cycle if self.options["calculate discharge energy"] == "true": Q_Wh = variables["Discharge energy [W.h]"] Qt_Wh = variables["Throughput energy [W.h]"] - Qt_Ah = variables["Throughput capacity [A.h]"] V = variables["Voltage [V]"] - self.rhs[Q_Wh] = I * V / 3600 - self.rhs[Qt_Wh] = abs(I * V) / 3600 - self.rhs[Qt_Ah] = abs(I) / 3600 + self.rhs[Q_Wh] = I * V / 3600 # Returns to zero after a complete cycle + self.rhs[Qt_Wh] = abs(I * V) / 3600 # Increases with each cycle