From 058a5a04da64d3b36d8bd55a50a4598e3b1e840b Mon Sep 17 00:00:00 2001 From: "Bryan W. Weber" Date: Tue, 19 Mar 2019 11:45:26 -0400 Subject: [PATCH] Update litium_ion_battery example Put the title of the example as the first cell, so the website example renderer shows something useful as the example summary. Fix small typos in some math content. Use notebook matplotlib magic for plots. --- electrochemistry/lithium_ion_battery.ipynb | 1726 +++++++++++++++++++- 1 file changed, 1639 insertions(+), 87 deletions(-) diff --git a/electrochemistry/lithium_ion_battery.ipynb b/electrochemistry/lithium_ion_battery.ipynb index 92ba943..20437bd 100644 --- a/electrochemistry/lithium_ion_battery.ipynb +++ b/electrochemistry/lithium_ion_battery.ipynb @@ -1,5 +1,12 @@ { "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Lithium Ion Battery Example" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -9,29 +16,10 @@ "If the stable release of 2.5.0 is not yet available, you might consider [building from source](https://cantera.org/install/compiling-install.html). Note also that 2.5.0, once released, is more recent than and supercedes 2.5.0a2, which is an alpha release." ] }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Runnning Cantera version: 2.5.0a2\n" - ] - } - ], - "source": [ - "import cantera as ct\n", - "print('Runnning Cantera version: ' + ct.__version__)" - ] - }, { "cell_type": "markdown", "metadata": {}, "source": [ - "# Lithium Ion Battery Example\n", "## Open circuit calculations as a function of anode and cathode lithium content.\n", " \n", "In this example we will illustrate how to calculate the open circuit voltage (voltage when the external applied current is 0) for a lithium ion battery. The thermodynamics are based on a graphite anode and a LiCoO2 cathode (the typical/standard active materials for commercial batteries, as of 2019), and are modeled using the 'BinarySolutionTabulatedThermo' class.\n", @@ -101,7 +89,7 @@ "For the kinetic routine, there are three processes to determine the cell voltage $\\phi_{\\rm cathode} - \\phi_{\\rm anode}$ which corresponds to the user-provided $i_{\\rm app}$:\n", "1. Determine the $\\phi_{\\rm elyte,\\,anode}$ value which corresponds to $i_{\\rm app}$, given $X_{\\rm Li, anode}$, the percentage of Li in the anode active material.\n", "2. Determine $\\phi_{\\rm elyte,\\,cathode}$, given $\\phi_{\\rm elyte,\\,anode}$ and $i_{\\rm app}$.\n", - "3. Determine the $\\phi_{\\rm cathode}$ which corresponds to $i_{\\rm app}$, given $phi_{\\rm elyte,\\,cathode}$ and $X_{\\rm Li, anode}$, the percentage of Li in the anode active material.\n", + "3. Determine the $\\phi_{\\rm cathode}$ which corresponds to $i_{\\rm app}$, given $\\phi_{\\rm elyte,\\,cathode}$ and $X_{\\rm Li, anode}$, the percentage of Li in the anode active material.\n", "\n", "The routines below are written generally such that an interested user may set $i_{\\rm app}$ to any value of interest.\n", "\n", @@ -110,13 +98,30 @@ }, { "cell_type": "code", - "execution_count": 143, + "execution_count": 1, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Runnning Cantera version: 2.5.0a2\n" + ] + } + ], + "source": [ + "import cantera as ct\n", + "print('Runnning Cantera version: ' + ct.__version__)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ - "from __future__ import division\n", - "from __future__ import print_function\n", - "\n", "import numpy as np\n", "\n", "from scipy.optimize import fsolve\n", @@ -125,8 +130,8 @@ "import time\n", "\n", "# Plotting:\n", + "%matplotlib notebook\n", "import matplotlib.pyplot as plt\n", - "import matplotlib as mpl\n", "\n", "plt.rcParams['axes.labelsize'] = 16\n", "plt.rcParams['xtick.labelsize'] = 12\n", @@ -149,12 +154,12 @@ "metadata": {}, "outputs": [], "source": [ - "inputCTI = 'lithium_ion_battery.cti'\n", + "inputCTI = 'data/lithium_ion_battery.cti'\n", "anode = ct.Solution(inputCTI, 'anode');\n", - "cathode = ct.Solution(inputCTI,'cathode');\n", + "cathode = ct.Solution(inputCTI, 'cathode');\n", "# The 'elde' electrode phase is needed as a source/sink for electrons:\n", - "elde = ct.Solution(inputCTI,'electron');\n", - "elyte = ct.Solution(inputCTI,'electrolyte');\n", + "elde = ct.Solution(inputCTI, 'electron');\n", + "elyte = ct.Solution(inputCTI, 'electrolyte');\n", "anode_interface = ct.Interface(inputCTI, 'edge_anode_electrolyte', [anode, elde, elyte]);\n", "cathode_interface = ct.Interface(inputCTI, 'edge_cathode_electrolyte', [cathode, elde, elyte]);" ] @@ -177,7 +182,7 @@ }, { "cell_type": "code", - "execution_count": 131, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -211,13 +216,13 @@ }, { "cell_type": "code", - "execution_count": 132, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "phases = [anode, elde, elyte, cathode, anode_interface, cathode_interface];\n", "for ph in phases:\n", - " ph.TP = T,P\n" + " ph.TP = T, P" ] }, { @@ -229,14 +234,14 @@ }, { "cell_type": "code", - "execution_count": 133, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def anode_curr(phi_l,I_app,phi_s,X_Li_an):\n", "\n", " # Set the active material mole fraction\n", - " anode.X = 'Li[anode]:'+str(X_Li_an)+', V[anode]:'+str(1-X_Li_an)\n", + " anode.X = 'Li[anode]:' + str(X_Li_an) + ', V[anode]:' + str(1 - X_Li_an)\n", "\n", " # Set the electrode and electrolyte potential\n", " elde.electric_potential = phi_s\n", @@ -253,7 +258,7 @@ "def cathode_curr(phi_s,I_app,phi_l,X_Li_ca):\n", " \n", " # Set the active material mole fractions\n", - " cathode.X = 'Li[cathode]:'+str(X_Li_ca)+', V[cathode]:'+str(1-X_Li_ca)\n", + " cathode.X = 'Li[cathode]:' + str(X_Li_ca) + ', V[cathode]:' + str(1 - X_Li_ca)\n", "\n", " # Set the electrode and electrolyte potential\n", " elde.electric_potential = phi_s\n", @@ -277,19 +282,19 @@ }, { "cell_type": "code", - "execution_count": 150, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "49 cell voltages calculated in 0.36 seconds.\n" + "49 cell voltages calculated in 0.32 seconds.\n" ] } ], "source": [ - "#Tic\n", + "# Tic\n", "t0 = time.time()\n", "\n", "# Initialize array of OCVs:\n", @@ -300,21 +305,21 @@ " phi_s_an = 0\n", " E_init = 3.0\n", " \n", - " phi_l_an = fsolve(anode_curr,E_init,args=(I_app,phi_s_an,X_an))\n", + " phi_l_an = fsolve(anode_curr,E_init,args=(I_app, phi_s_an, X_an))\n", " \n", " # Calculate electrolyte potential at cathode interface:\n", " phi_l_ca = phi_l_an + I_app*R_elyte;\n", " \n", " # Calculate cathode electrode potential\n", - " phi_s_ca = fsolve(cathode_curr,E_init,args=(I_app,phi_l_ca,X_Li_ca[i]))\n", + " phi_s_ca = fsolve(cathode_curr,E_init,args=(I_app, phi_l_ca, X_Li_ca[i]))\n", " \n", " # Calculate cell voltage\n", " E_cell_kin[i] = phi_s_ca - phi_s_an\n", " \n", " \n", - "#Toc\n", + "# Toc\n", "t1 = time.time()\n", - "print('{:d} cell voltages calculated in {:3.2f} seconds.'.format(i,t1-t0))" + "print('{:d} cell voltages calculated in {:3.2f} seconds.'.format(i, t1 - t0))" ] }, { @@ -326,28 +331,808 @@ }, { "cell_type": "code", - "execution_count": 152, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "application/javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " if (mpl.ratio != 1) {\n", + " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", + " }\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " fig.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var backingStore = this.context.backingStorePixelRatio ||\n", + "\tthis.context.webkitBackingStorePixelRatio ||\n", + "\tthis.context.mozBackingStorePixelRatio ||\n", + "\tthis.context.msBackingStorePixelRatio ||\n", + "\tthis.context.oBackingStorePixelRatio ||\n", + "\tthis.context.backingStorePixelRatio || 1;\n", + "\n", + " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width * mpl.ratio);\n", + " canvas.attr('height', height * mpl.ratio);\n", + " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(el){\n", + " var fig = this\n", + " el.on(\"remove\", function(){\n", + "\tfig.close_ws(fig, {});\n", + " });\n", + "}\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], "text/plain": [ - "
" + "" ] }, - "metadata": { - "needs_background": "light" + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] }, + "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", - "plt.plot(100*X_Li_ca, E_cell_therm,color='b',linewidth=2.5)\n", - "plt.plot(100*X_Li_ca, E_cell_kin,linewidth=0.,marker='o',markerfacecolor='none',markeredgecolor='r')\n", - "plt.ylim([2.5,4.3])\n", - "plt.xlabel('Li Fraction in Cathode (%)',fontname='Times New Roman',fontsize=18)\n", - "plt.ylabel('Open Circuit Potential (V)',fontname='Times New Roman',fontsize=18)\n", - "plt.legend(['Thermodynamic','Kinetic'])\n", + "plt.plot(100*X_Li_ca, E_cell_therm,color='b', linewidth=2.5)\n", + "plt.plot(100*X_Li_ca, E_cell_kin,linewidth=0., marker='o', markerfacecolor='none', markeredgecolor='r')\n", + "plt.ylim([2.5, 4.3])\n", + "plt.xlabel('Li Fraction in Cathode (%)', fontname='Times New Roman', fontsize=18)\n", + "plt.ylabel('Open Circuit Potential (V)', fontname='Times New Roman', fontsize=18)\n", + "plt.legend(['Thermodynamic', 'Kinetic'])\n", "\n", "ax = plt.gca()\n", "\n", @@ -465,9 +2028,7 @@ " tick.label1.set_fontname('Times New Roman')\n", "for tick in ax.yaxis.get_major_ticks():\n", " tick.label1.set_fontsize(14)\n", - " tick.label1.set_fontname('Times New Roman')\n", - " \n", - "plt.show()" + " tick.label1.set_fontname('Times New Roman')" ] }, { @@ -480,15 +2041,6 @@ "\n", "However, it is at last important to note that, while slower, the kinetic method is of course more robust, and can be used to find results away from equilibrium. The thermodynamic method is only applicable at equilibrium (zero current)." ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] } ], "metadata": { @@ -507,7 +2059,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.8" + "version": "3.7.2" } }, "nbformat": 4,