diff --git a/docs/source/examples/capacity_expansion_tutorial.ipynb b/docs/source/examples/capacity_expansion_tutorial.ipynb index 10a098a..792ecff 100644 --- a/docs/source/examples/capacity_expansion_tutorial.ipynb +++ b/docs/source/examples/capacity_expansion_tutorial.ipynb @@ -8,7 +8,12 @@ "# Capacity Expansion Tutorial\n", "\n", "In this tutorial, we will use `osier` to optimize the capacity for a test energy system using \n", - "`osier`'s `CapacityExpansion` model." + "`osier`'s `CapacityExpansion` model.\n", + "\n", + "\n", + "#### Important Caveat\n", + "\n", + "For simplicity and the sake of time, this notebook specifies a certain number of generations before the model terminates. Therefore it is unlikely that the capacity expansion models shown in this notebook are fully converged. These results should be used for instructional purposes only!" ] }, { @@ -448,11 +453,435 @@ " plt.show()" ] }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Adding renewable energy to a model\n", + "\n", + "\n", + "The previous model used natural gas and batteries to meet demand. What if we wanted to include wind as well?\n", + "\n", + "#### How the Capacity Expansion model tests points\n", + "\n", + "By default, the capacity expansion model will choose a set of random values, $\\mathcal{X}_i$, between 0 and 1 (inclusive), for each\n", + "technology in the technology list where $\\mathcal{X}$ represents a fraction of the maximum energy demand (up to 100%). The capacity of \n", + "each technology is calculated by \n", + "\n", + "$\\mathcal{C}_i = \\mathcal{X}_i\\cdot \\max\\left(\\mathcal{E}\\right)$\n", + "\n", + "where $\\mathcal{E}$ is the energy demand time series.\n", + "\n", + "Therefore, the maximum possible capacity for any technology is equal to the maximum demand energy demand. This is fine for dispatchable technologies because we can always choose to turn a dispatchable technology on or off. This is not true for variable renewable energy sources,\n", + "such as wind. If we only built enough wind turbine capacity to match the peak demand value we\n", + "\n", + "1. cannot be sure that the peak production will align with peak demand and\n", + "2. it is extremely unlikely that peak production will be sustained for any amount of time.\n", + "\n", + "To get around this, we can specify a peak value greater than one. This value can be as high as you want -- but best results are usually found when the maximum capacity for a renewable source is \n", + "\n", + "$\\max\\left(\\mathcal{X}\\right) = \\frac{1}{CF}$,\n", + "\n", + "where $CF$ is the average capacity factor." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "problem = CapacityExpansion(technology_list = [lib.wind, lib.battery],\n", + " demand=demand*MW,\n", + " wind=wind_speed,\n", + " upper_bound= 1 / lib.wind.capacity_credit,\n", + " objectives = [total_cost],\n", + " solver=solver) # the objectives must be passed as a LIST of functions!" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==========================================================\n", + "n_gen | n_eval | n_nds | eps | indicator \n", + "==========================================================\n", + " 1 | 20 | 1 | - | -\n", + " 2 | 40 | 1 | 0.000000E+00 | f\n", + " 3 | 60 | 1 | 0.0731198079 | ideal\n", + " 4 | 80 | 1 | 0.000000E+00 | f\n", + " 5 | 100 | 1 | 0.0023483206 | f\n", + " 6 | 120 | 1 | 0.0255449274 | ideal\n", + " 7 | 140 | 1 | 0.000000E+00 | f\n", + " 8 | 160 | 1 | 0.000000E+00 | f\n", + " 9 | 180 | 1 | 0.000000E+00 | f\n", + " 10 | 200 | 1 | 0.0002146070 | f\n", + "The simulation took 2.400 minutes.\n" + ] + } + ], + "source": [ + "\n", + "algorithm = NSGA2(pop_size=20)\n", + "\n", + "import time\n", + "start = time.perf_counter()\n", + "res = minimize(problem,\n", + " algorithm,\n", + " termination=('n_gen', 10),\n", + " seed=1,\n", + " save_history=True,\n", + " verbose=True)\n", + "end = time.perf_counter()\n", + "print(f\"The simulation took {(end-start)/60:.3f} minutes.\")" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1.92604288, 0.53111603])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "res.X" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[WindTurbine: 10.135967781702929 MW, Battery: 2.7950442069865686 MW]" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "'Max wind production: 10.135967781702929 MW'" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "technologies = []\n", + "for X,tech in zip(res.X,problem.technology_list):\n", + " tech.capacity = X*problem.max_demand\n", + " technologies.append(tech)\n", + "display(technologies)\n", + "# normalize the wind speed\n", + "wind_speed = (wind_speed / wind_speed.max()) * res.X[0]*problem.max_demand\n", + "net_dem = demand*MW - wind_speed\n", + "display(f\"Max wind production: {wind_speed.max()}\")\n", + "\n", + "model = DispatchModel(technology_list=[technologies[1]],\n", + " net_demand=net_dem)\n", + "model.solve(solver='cbc')" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(\"dark_background\"):\n", + " fig, ax = plt.subplots(figsize=(8,4))\n", + " ax.grid(alpha=0.2)\n", + " ax.minorticks_on()\n", + " ax.fill_between(hours, \n", + " y1=0, \n", + " y2=np.array(wind_speed), \n", + " color='tab:blue', \n", + " label='Wind Turbine')\n", + " ax.fill_between(hours, \n", + " y1=np.array(wind_speed), \n", + " y2=model.results['Battery'].values+np.array(wind_speed), \n", + " color='tab:green', \n", + " label='Battery discharge')\n", + " ax.fill_between(hours, \n", + " y1=0, \n", + " y2=model.results['Battery_charge'].values, \n", + " color='tab:pink', \n", + " label='Battery charge')\n", + " ax.fill_between(hours, \n", + " y1=model.results['Battery_charge'].values, \n", + " y2=model.results['Battery_charge'].values+model.results['Curtailment'].values, \n", + " color='gray', \n", + " label='Curtailment')\n", + " ax.plot(hours, demand, color='cyan', label='Net Demand')\n", + " ax.set_xlim(0,48)\n", + " # ax.set_ylim(0,5.5)\n", + " ax.legend(loc='upper left')\n", + " ax.set_ylabel(\"Demand [MW]\")\n", + " ax.set_xlabel(\"Time [hr]\")\n", + " plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Multiple Objectives\n", + "\n", + "What if we want to examine multiple objectives?\n", + "\n", + "We simply have to import the objective we want and add it to the list! Let's checkout lifecycle CO $_2$ emissions." + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 48, "metadata": {}, "outputs": [], + "source": [ + "from osier import annual_emission\n", + "\n", + "# the default emission is `lifecycle_co2_rate`" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [], + "source": [ + "problem = CapacityExpansion(technology_list = [lib.wind, lib.natural_gas, lib.battery],\n", + " demand=demand*MW,\n", + " wind=wind_speed,\n", + " upper_bound= 1 / lib.wind.capacity_credit,\n", + " objectives = [total_cost, annual_emission],\n", + " solver=solver) # the objectives must be passed as a LIST of functions!" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==========================================================\n", + "n_gen | n_eval | n_nds | eps | indicator \n", + "==========================================================\n", + " 1 | 20 | 6 | - | -\n", + " 2 | 40 | 4 | 0.0158631600 | nadir\n", + " 3 | 60 | 6 | 0.0046803095 | nadir\n", + " 4 | 80 | 13 | 0.0075483249 | ideal\n", + " 5 | 100 | 11 | 0.0286189132 | ideal\n", + " 6 | 120 | 16 | 0.0143108619 | f\n", + " 7 | 140 | 19 | 0.0038096293 | ideal\n", + " 8 | 160 | 20 | 0.0123935101 | f\n", + " 9 | 180 | 20 | 0.0488020532 | nadir\n", + " 10 | 200 | 20 | 0.0176305024 | f\n", + "The simulation took 3.807 minutes.\n" + ] + } + ], + "source": [ + "algorithm = NSGA2(pop_size=20)\n", + "\n", + "import time\n", + "start = time.perf_counter()\n", + "res = minimize(problem,\n", + " algorithm,\n", + " termination=('n_gen', 10),\n", + " seed=1,\n", + " save_history=True,\n", + " verbose=True)\n", + "end = time.perf_counter()\n", + "print(f\"The simulation took {(end-start)/60:.3f} minutes.\")" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Visualizing Multi-objective Results\n", + "\n", + "Rather than identifying a single solution, a multi-objective problem generates a *set* of co-optimal solutions. Rather than showing the optimal dispatch results, let's look the the Pareto front.\n", + "\n", + "The `res` object has two variables: `res.F`, which contains the objective function results, and `res.X` which contains the corresponding energy system portfolios.\n", + "\n", + "### Objective Results" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context('dark_background'):\n", + " fig, ax = plt.subplots(1,1,figsize=(6,4))\n", + "\n", + " ax.scatter(res.F[:,0], res.F[:,1], edgecolors='red', facecolors='k')\n", + " ax.set_ylabel(r\"Lifecycle CO$_2$ Emissions [MT/MWh]\")\n", + " ax.set_xlabel(r\"Total Cost [M\\$]\")\n", + " ax.grid(alpha=0.2)\n", + "\n", + " plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Design Results\n", + "\n", + "Below is a boxplot showing the range of values for each technology in the simulation. \n", + "\n", + "**Boxplots are not the best way to visualize these results, but they are the simplest.**\n", + "\n", + "Since we used boxplots, we lose information about which combination of technologies corresponds\n", + "to each solution in the objective plot, above.\n", + "\n", + "The spread of these values can suggest a degree of certainty about the level of capacity needed\n", + "to meet demand while minimizing cost and emissions. We can see a huge spread in wind energy and \n", + "very small spreads for natural gas and batteries. This indicates a no-lose scenario for pursuing\n", + "the latter two technologies, while addressing the question about the amount of wind capacity\n", + "necessary to meet demand is a lot less clear." + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from osier import get_tech_names\n", + "with plt.style.context('dark_background'):\n", + " fig, ax = plt.subplots(1,1,figsize=(6,4))\n", + "\n", + " bplot = ax.boxplot(res.X,\n", + " patch_artist=True,\n", + " labels=get_tech_names(problem.technology_list))\n", + " ax.set_ylabel(\"Fraction of Peak Demand\")\n", + "\n", + " # fill with colors\n", + " colors = ['tab:blue', 'tab:orange', 'tab:green']\n", + " for patch, color in zip(bplot['boxes'], colors):\n", + " patch.set_facecolor(color)\n", + "\n", + " for median in bplot['medians']:\n", + " median.set_color('red')\n", + "\n", + " ax.yaxis.grid(True, alpha=0.2)\n", + " plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Correlation between Wind Turbines and Natural Gas\n", + "\n", + "Perhaps we can glean more information by examining the correlation between wind and natural gas." + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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nJ7F8+XJx4cIFUVxcLLKzs8V///tfMXPmTJ3nSEyYMEGcP39eFBUVib/++ksEBAQYPGaVb1PVTC+//LIoKSkR27Zt07vl+N7jqFFeXi5u3rwpkpKSxBdffCF69epV5XqTJk0SJ0+eFAUFBSIvL0+cOnVKrFy5Uri5uT2wjwy1193dXQghdPqgZcuWYseOHeLGjRsiNzdX/Pjjj8LNzU3vllLNMdE84+XenwF3d3dtmaOjo1i/fr24du2ayM/PF7t27RKtWrXibaqcTJ4U//sHERERkWw4BoOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGRnkw/aatmypfbFRERERGQ8lUqFjIyMB9azuQSjZcuWSE9PN3cziIiILFarVq0emGTYXIKhOXPRqlUrnbMYSqUS3bp1Q2JiosFXPVsjW4wZsM24bTFmwDbjZsy2ETNgnrhVKhXS09ONugpgcwmGRn5+vl6CUVBQgPz8fJv5gtpizIBtxm2LMQO2GTdjto2YgbofNwd5EhERkeyYYBAREZHsmGAQERGR7JhgEBERkeyYYBAREZHsmGAQERGR7Gz2NlUiMo5SCfTrB7RoAWRmAseOAXXwjjgiqmOYYBBZiZpIBPz9gbVrAQ+Pu2VqNTBrFhAR8XDbthVM0MhW8RIJkRXw9weSk4HDh4Ft26TP5GSp/GG2uX07kJQE9OkDODtLn0lJUvnDbNtW1ES/EFkKJhhEFq4mEgGlUjpzsXcvMHw4EBsLFBRIn8OHS+Vr1kj1yDAmaESAsKVJpVIJIYRQqVQ65UqlUvTs2VMolUqzt7G2JluM2driViohUlMhdu2CUCh0lykUUnlKCoSdnWkx+/hACAHRu7fh5X36SMt9fMx/DOpiXxvbL0ql9cRsi/1s7skccVf1N9Rg+0BEFqtfP2l8xIoVgBC6y4QAQkKANm2keqZo0UL6PH3a8HJNuaYe6aqpfiGyJHUiwQgMDIRarUZRURFiYmLQq1evKusGBARI/3WqNBUVFdVia4nqDmMTATc307abmSl9dulieLmmXFOPdDFBI6oDCcaoUaMQGhqKJUuWoGfPnjh16hT279+PZs2aVblOXl4e3NzctJO7u3sttpio7jA2Ebh61bTtHjsm3S2yYAGgUOguUyiA+fOB1FSpHuljgkZUBxKMmTNnYtOmTdiyZQvOnj2LqVOnorCwEBMnTqxyHSEEsrKytFN2dnYttpio7qipRKCiQroV9aWXgJ07dQcp7twplc+ezdstq8IEjcjMz8Gwt7eHl5cXQkJCtGVCCERGRsLb27vK9ZydnXHp0iUolUr88ccfWLBgAf766y+DdR0cHODo6KidV6lUAAClUgllpSHwmnmlDQ2Lt8WYAeuLe84cIDxc+sO/apV0+r1LF2DuXCkRGDUKAEyPedcuad3Vq4Ho6LvlqalS+a5ddf8uEnP2tXH9Iv8xtLbvtzFsMWbAPHGbsi+zJhhNmzaFnZ0dsrKydMqzsrLQsWNHg+ucP38eEydORGJiIlxcXDB79mwcP34cnTt3Rnp6ul79+fPnY/HixXrl3bp1Q0FBgXZeqVSiffv2AIAKG/lvmS3GDFhf3Go1EBQEvPce8Pvvd8v//lsqV6sBT8/qxaxWS38Ie/QAmjYFcnKAP/+Uzlx4esocSA0wZ18b1y/y79favt/GsMWYAfPE7eTkZHRdi3uSZ0xMDGJiYrTzx48fx9mzZzFlyhQsWrRIr35ISAhCQ0O18yqVCunp6UhMTER+fr62XJOVJSQk2MwX1BZjBqwz7oQE4OOPpbsS3NykMReVnxj5sDH/8YeMja1F5u7rB/VLTTB3zOZgizED5olbcxXAGGZNMHJyclBWVgZXV1edcldXV1w1clRaWVkZ/vzzTzz55JMGl5eUlKCkpESvvKKiQq9DNGW29AW1xZgB64y7ogKIirrfcuuL2RjmjvtB/VIz+7S9vrbFmIHaj9uU/Zj1glVpaSni4+Ph5+enLVMoFPDz80N05Yu+96FUKtG1a1dkcjg2ERFRnWH2SyShoaHYunUr4uLicOLECcyYMQNOTk4ICwsDAGzduhXp6elYsGABAGDhwoWIiYlBcnIyGjVqhDlz5sDd3R1fffWVOcMgIiKiSsyeYISHh6NZs2ZYunQp3NzckJCQgCFDhmhvPW3durXOKZnGjRtj06ZNcHNzQ25uLuLj4/HMM8/g7Nmz5gqBiIiI7mH2BAMANm7ciI0bNxpc1r9/f535mTNnYubMmbXRLCKyAkol4OMDuLoafl06X6dOVDPqRIJBRFQT/P2luzhatbpbplZLDxGLiJCWr10rvTfE0HIiqj7beioJEdkMf3/pQVfJycAzz+i/Ln3lSr5OnagmMcEgIqujVEpnJvbulc5GxMYCBQXS5/DhUvm770qfw4cbXr5mTd1/UilRXcYfHyKyOprXpa9cafh16b/+CjzyCF+nTlSTmGAQkdV50OvSi4ruv5yvUyd6eEwwiMjqPOh16Y88cv/lfJ060cNjgkFEVkfzuvR58wy/Ln3IEOksBl+nTlRzmGAQkdWpqJAGd770kjTYs/JdIjt3SuWffCJ97txpePns2XweBtHD4HMwiMgqRURIr5r/+GPd16WnpgIjRkjLY2OlBKTyq48qLyei6mOCQURWKyICuHwZUKkMP8kzIgLYtYtP8iSqCUwwiMiqVVQAR45UnTRolhORvDgGg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZGdn7gZYC6US6NcPaNECyMwEjh0DKirM3SoiIiLzYIIhA39/YO1awMPjbplaDcyaBUREmK9dtoQJHhFR3cJLJA/J3x/Yvh1ISgL69AGcnaXPpCSp3N/f3C20fv7+QHIycPgwsG2b9JmczGNPRGROTDAeglIpnbnYuxcYPhyIjQUKCqTP4cOl8jVrpHpUM5jgERHVTbxE8hD69ZMui7z2GiCE7jIhgJAQIDpaqnfkyN1lVZ3OVyoBHx/A11eqd/iwtB5P9Rt2b4Kn6QNNgrdzp5Tg7drFY0hEVNuYYDyEoUOlz9OnDS/XlLdocbesqvEa4eFAQADg5na3fP584MYNYNo0juUwpLoJHhER1TyevK8mf39gxgzp3126GK6jKc/MvLuOodP5OTlAUBBw8qRu+b59QLNmPNVfFU3iZkqCR0REtYMJRjVUPjWvVgMLFgAKhW4dhUI6A5GaKl0CqWq8xsmTQNOmUvmwYYbHcdy+zbEchmgSN2MTPEujuWQ2Zoz0yf4nIksjbGlSqVRCCCFUKpVOuVKpFD179hRKpfKB2/DxgRACondvCH9/iPJyiF27IPr0gXB2lj5375bK/f3116lqW4b21aePtFwIqa6cx8KUmOvipFRCpKZKx16h0F2mUEjlKSlSPUuL299fik3T90JI85rvk631dfW/I7YXN2M2f3usOe6q/oYabB/IZJVPzUdEACNGAF27Stf78/OlzyFDgPXr746dqOp0vrGn+SvXJUlFhfSskZdekgZ0Vr68tHOnVD57tuUN8OSdMURkDZhgVMO9p+YjIoAnn5Tu/njtNSAwELC3B3bvrnqdB5VrVC631FP9NamqBK9LF6nc0gbH8tZnIrImZj/NU5uTHJdIqnNqvqp1NOW7d1e9rbw8w6f6H3ayptOKSqV0CWnMGOnzfseqLsdt7CUzUy+X1eWYa/Z7YXtxM2bzt8ea4+YlkhpWnVPzVa3z9NPSXSQvvSQ9r8HQtpydLfNUf22qqJBuRf3hB8t+dgjvjCEia8HnYFST5tT82rXSKXmN1NSqT83fb52PPpKeg1G5vLQUyM6WLrlY2ql+qp7Kl8xiY/WXW/qdMURkO5hgPISICOmsgykv2brfOgsWyP8kT74EzLIcO3b31ufKTycF9G99JiKqy5hgPCTNqXk51qmoAKKipEkOfMur5dFcStu+XbpEFhIiXRbp0kVKLl56SToLxiSRiOo6jsGwUrzV0XJZ250xRGSb6kSCERgYCLVajaKiIsTExKBXr15GrTd69GgIIRDB37g6eKuj5bv31mdfX6BdOyYXRGQ5zH6JZNSoUQgNDcXUqVMRGxuLGTNmYP/+/ejQoQOuXbtW5Xru7u5Ys2YNjh49WouttQymvAQsL888bdTgGJGqVefyGxFRXWH2/8POnDkTmzZtwpYtW3D27FlMnToVhYWFmDhxYpXrKJVKfPfddwgODkZqamotttYyGHurY+U3t5qDvz+QnCwNZt22TfpMTq57l2/4TpCax2NMZH3MegbD3t4eXl5eCAkJ0ZYJIRAZGQlvb+8q11u0aBGys7OxefNm9OvX7777cHBwgKOjo3ZepVIBkJIUZaXfYpp5pRX8ZsvKkj67dTN8q2O3btJndrb5Yvb3l15Rv3cvMHbs3YGM8+ZJY0RGjaq5ywGm9LW/P7B6tf5A2TlzLOtyRV3+ftfkMa7LcdcUxmw7zBG3Kfsya4LRtGlT2NnZIUvzF/F/srKy0LFjR4PrPPvss3jzzTfh6elp1D7mz5+PxYsX65V369YNBQUF2nmlUon27dsDACos/Bx9fj6Qni5dCpk1S/9WxxUrgL//BvLzzROzUgl8/LF0OWTpUql97doBd+5I8y4u0ntcLl+umcslxvZ1//7S80mOHQMWLwZSUoC2bYGJE6XkKChIvjt+alpd/X7X9DGuq3HXJMZsGzED5onbycnJ6LpmH4NhCmdnZ/z73//G5MmTcf36daPWCQkJQWhoqHZepVIhPT0diYmJyM/P15ZrsrKEhASr+IJOny79gl60CFi16u4ZgrlzpTEPo0YBf/yhREVF7cfs4wO0agWMHAn8+af+8gULgN9/B1SqmhmDYExfK5XSmZS9e4FXXrmbpEVHA999B/z0k/QAtI8/towxI3Xx+10bx7guxl3TGLNtxAyYJ27NVQBjmDXByMnJQVlZGVxdXXXKXV1dcfXqVb36bdu2hYeHB/bs2aMt0xzg0tJSdOjQQW9MRklJCUpKSvS2VVFRodchmjJr+ILu2HH3qaG//363vPKTRpVK88Ss6e7ERMN/OBIT79arqWY9KO7KA2XLy/WXawbKPvus5QzErGvf79o6xnUt7trAmG1Hbcdtyn7MesGqtLQU8fHx8PPz05YpFAr4+fkhuvIzs//n3Llz6NKlCzw9PbXT7t27ERUVBU9PT1y5cqU2m1/n1dVbHY19g6w5H4fNd4LUPB5jIutm9kskoaGh2Lp1K+Li4nDixAnMmDEDTk5OCAsLAwBs3boV6enpWLBgAe7cuYMzZ87orH/z5k0A0CsnSV281dESHofNd4LUPB5jIutm9iG34eHhmD17NpYuXYqEhAR4enpiyJAhyM7OBgC0bt0aLfhfGKtSnbfR1rbKSZBCobusriRBlo7HmMj6mf2d9rU5VfUue6VSKXr27CmUSqXZ21hbk7lj9veHSE2FEOLulJIildeFuP39IcrLIXbtgujTB8LZWfrctUsqr+l2WlNfm+sY19W4bbGvGbN1xF3V31BDk9kvkZDtqs7baGuT5p0ga9dKgw01Kg+UpYfDY0xkvZhgkFnVxTEildX1JMga8BgTWScmGEQPUNeTIGvAY0xkfcw+yJOIiIisDxMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikp3JCUaPHj3QpUsX7fzQoUMRERGB5cuXw97eXtbGERERkWUyOcH44osv0L59ewCAh4cHfvjhBxQWFmLkyJH46KOPZG8gERERWR6TE4z27dsjISEBADBy5EgcPXoUY8eOxfjx4/Hqq6/K3T4iIiKyQCYnGAqFAkqltNrAgQPxyy+/AACuXLmCpk2byts6IiIiskgmJxhxcXH44IMP8Prrr8PHxwc///wzAOlySVZWluwNJCIiIstjcoIxY8YM9OzZE//617+wfPlypKSkAABGjBiB48ePy95AIiIisjx2pq6QlJSEbt266ZXPmTMH5eXlsjSKiIiILJvJCUZV7ty5I9emiIiIyMKZnGAolUq89957GDVqFFq3bg0HBwed5U2aNJGtcURERGSZTB6DERwcjJkzZ+LHH3+Ei4sLQkND8dNPP6GiogKLFy+ugSYSERGRpTE5wRg7diwmT56M0NBQlJWVYdu2bZg8eTKWLl2KPn361EQbiYiIyMKYnGC4ubkhKSkJAHD79m24uLgAAPbu3YsXX3xR3tYRERGRRTI5wfj777/RokULAEBKSgoGDx4MAOjVqxcHehIRERGAaiQYERER8PPzAwBs2LABH374IS5cuIBvvvkGmzdvlr2BREREZHlMvotk/vz52n+Hh4cjLS0N3t7euHjxIvbu3Str44iIiMgyPfRzMGJiYhATEyNHW4iIiMhKGJ1gKBQKdO7cGadPnwYATJkyRecZGOXl5fjss88ghJC/lURERGRRjE4wxowZg6lTp8LHxwcAsHr1aty8eRNlZWUAgKZNm6K4uJjjMIiIiMj4QZ4TJkzAxo0bdcp8fHzQpk0btGnTBnPmzMHrr78uewOJiIjI8hidYHTs2BFxcXFVLj9y5Ai6d+8uS6OIiIjIshmdYDRr1kxnvk2bNrh06ZJ2vrS0FE5OTtVqRGBgINRqNYqKihATE4NevXpVWdff3x8nT55Ebm4ubt++jT///JNnToiIiOoYoxOMrKwsdOjQQTufk5OjM6CzU6dOuHr1qskNGDVqFEJDQ7FkyRL07NkTp06dwv79+/USGo0bN25g+fLl8Pb2Rrdu3RAWFoawsDDtA7+IiIjI/IxOMH777Te8//77VS6fP38+fvvtN5MbMHPmTGzatAlbtmzB2bNnMXXqVBQWFmLixIkG6x85cgQ7d+7EuXPnkJqaik8++QSJiYno27evyfsmIiKimmH0XSTLly/HH3/8gZiYGKxZswYXLlwAAHTo0AGzZ89Ghw4dMG7cOJN2bm9vDy8vL4SEhGjLhBCIjIyEt7e3UdsYMGAAOnTogLlz5xpc7uDgAEdHR+28SqUCIL12Xqm8m19p5iuXWTtbjBmwzbhtMWbANuO+X8xKJdCvH+DmBly9Chw7BlRUmKGRMrPFfgbME7cp+zI6wUhNTcWgQYOwZcsW/Pjjj9rLIwqFAufOncPgwYORkpJiUkObNm0KOzs7ZGVl6ZRnZWWhY8eOVa7XsGFDpKenw9HREeXl5QgMDERkZKTBuvPnzzf4Gvlu3bqhoKBAO69UKtG+fXsAQIU1/MQZwRZjBmwzbluMGbDNuKuKuX9/4L33gFat7tZNTwfWrQOiomq7lfKyxX4GzBO3KWMtTXqS58mTJ9G5c2d0795dG9TFixeRkJBgUgMfVn5+Pjw9PeHs7Aw/Pz+EhoYiNTUVR44c0asbEhKC0NBQ7bxKpUJ6ejoSExORn5+vLddkZQkJCTbzBbXFmAHbjNsWYwZsM25DMfv7Ax99BOzdC4wcCZw+DXTpAsybJ5WPGgVERJiz1Q/HFvsZME/cmqsAxqjWo8JPnTqFU6dOVWdVHTk5OSgrK4Orq6tOuaur630HjAohtGdLTp06hU6dOmH+/PkGE4ySkhKUlJTolVdUVOh1iKbMlr6gthgzYJtx22LMgG3GXTlmpRJYvVpKLoYPBzRj86OjpfmdO6UkIyLCsi+X2GI/A7Uftyn7MesFq9LSUsTHx2vfzgpIl1z8/PwQHR1t9HaUSqXOOAsiIpL06wd4eAArVtxNLjSEAEJCgDZtpHpEcnrol509rNDQUGzduhVxcXE4ceIEZsyYAScnJ4SFhQEAtm7divT0dCxYsAAAMG/ePMTFxSElJQWOjo544YUX8MYbb2DatGnmDIOIqE5q0UL6/N9rpPRoyjX1iORi9gQjPDwczZo1w9KlS+Hm5oaEhAQMGTIE2dnZAIDWrVvrnJJxcnLCp59+isceewxFRUU4d+4cXn/9dYSHh5srBCKiOiszU/rs0gWIjdVf3qWLbj0iOQlbmlQqlRBCCJVKpVOuVCpFz549hVKpNHsba2uyxZhtNW5bjNlW4743ZqUSIjUVYtcuCIVCt65CIZWnpEj1zN129nPdj7uqv6GGJqPOYHTt2tWYagCApKQko+sSEVHNqqgAZs0Ctm+XBnSGhNy9i2T+fOCll4ARIyx7gCfVTUYlGAkJCRBCQKFQGFyuWSaEgJ2d2a+6EBFRJRERUhKxdq1094hGaqpUbsm3qFLdZVQ24OHhUdPtICKiGhQRAezaJd0t0qKFNObCWp7kSXWTUQlGWlpaTbeDiIhqWEUFYOBxQUQ1otrXMzp16oTWrVvDwcFBp3zPnj0P3SgiIiKybCYnGB4eHoiIiEDXrl11xmVo3k3CMRhERERk8pM8P/74Y6jVajRv3hyFhYXo3LkznnvuOcTFxcHX17cGmkhERESWxuTTDd7e3hgwYACuX7+uff7577//jvnz5+OTTz5Bz549a6KdREREZEFMPoNRr1497VtIc3Jy0LJlSwDA5cuX0aFDB3lbR0RERBbJ5DMYp0+fRvfu3XHp0iXExsYiKCgIJSUleOutt5CamloTbSQiIiILY3KCsWzZMjg5OQEAFi1ahL179+LYsWO4fv06Ro8eLXsDiYiIyPKYnGAcOHBA+++UlBR06tQJjRs3Rm5urqwNIyIiIstl0hgMOzs7lJaWonPnzjrlTC6IiIioMpMSjLKyMqSlpaFevXo11R4iIiKyAibfRbJ8+XKsWLECjRs3ron2EBERkRUweQzGO++8gyeffBIZGRm4fPkyCgoKdJZ7eXnJ1jgiIiKyTCYnGDt37qyBZhAREZE1MTnBWLp0aU20g4iIiKyIyWMwiIiIiB7E5DMY5eXl2jenGtwg36ZKRERk80zOBvz9/XXm7e3t0aNHDwQEBCA4OFi2hhEREZHlMjnB2L17t17Zjh07cObMGYwePRqbN2+WpWFERERkuWQbgxETEwM/Pz+5NkdEREQWTJYEo379+nj33XeRnp4ux+aIiIjIwpl8ieTGjRs6gzwVCgVUKhUKCwvx+uuvy9o4IiIiskwmJxjvvfeeToJRUVGBa9euITY2Fjdv3pSzbURERGShTE4wDh06hCtXrhhc9vjjj1e5jIiIiGyHyWMw1Go1mjVrplf+6KOPQq1Wy9IoIiIismwmJxgKhcJgubOzM4qLix+6QURERGT5jL5EsnbtWgCAEAJLly5FYWGhdlm9evXQu3dvJCQkyN5AIiIisjxGJxg9evQAIJ3B6Nq1K0pKSrTLSkpKcOrUKaxZs0b+FhIREZHFMTrBGDBgAABg8+bNmD59OvLz82usUURERGTZTL6LZOLEiTXRDiIiIrIi1Xr1qZeXF0aNGoXWrVvDwcFBZ9mrr74qS8OIiIjIcpl8F8no0aNx/PhxdOrUCf7+/rC3t0fnzp0xYMAA5OXl1UQbiYiIyMKYnGAsWLAA7733HoYOHYqSkhJMnz4dHTt2RHh4ONLS0mqijURERGRhTE4w2rZti59//hmAdPeIk5MTAGDdunV466235G0dERERWSSTE4zc3FyoVCoAQHp6Orp06QIAaNSoERo0aCBv64iIiMgimTzI8+jRoxg0aBBOnz6N//znP/j4448xYMAADBo0CL/99ltNtJGIiIgsjMkJxjvvvIP69esDAJYvX47S0lI888wz2LFjB5YtWyZ7A4mIiMjymJxg5Obmav8thMCqVatkbRARERFZPpPHYBARERE9iNFnMMrLyyGEuG8dIQTs7e0fulFERERk2YxOMPz9/atc5u3tjXfffRdKJU+IEBERkQkJxu7du/XK2rdvj5UrV+Lll1/Gd999h0WLFsnaOCIiIrJM1Trl0KJFC3z55ZdISkqCnZ0dPD09MX78eD7Jk4iIiACYmGA0bNgQK1euRHJyMjp37gw/Pz8MHToUZ86cqan2ERERkQUy+hLJnDlzMHfuXFy9ehWvvfaawUsmRERERIAJCcbKlStRVFSE5ORkBAQEICAgwGA9vq6diIiIjL5E8s033yA8PBw3btxAXl5elVN1BAYGQq1Wo6ioCDExMejVq1eVdSdNmoSjR4/ixo0buHHjBg4ePHjf+kRERFT7jD6DMWHChBppwKhRoxAaGoqpU6ciNjYWM2bMwP79+9GhQwdcu3ZNr76vry+2bduG48ePo7i4GHPnzsWBAwfQuXNnZGRk1EgbiYiIyDRmf3DFzJkzsWnTJmzZsgVnz57F1KlTUVhYiIkTJxqs//rrr+Ozzz7DqVOncP78eUyaNAlKpRJ+fn613HIiIiKqisnvIpGTvb09vLy8EBISoi0TQiAyMhLe3t5GbaNBgwawt7fHjRs3DC53cHCAo6Ojdl7zqnmlUqnzYDDNvC09LMwWYwZsM25bjBmwzbgZs+0wR9ym7MusCUbTpk1hZ2eHrKwsnfKsrCx07NjRqG2sWrUKGRkZiIyMNLh8/vz5WLx4sV55t27dUFBQoJ1XKpVo3749AKCiosLICCybLcYM2GbcthgzYJtxM2bbiBkwT9xOTk5G1zVrgvGw5s6dizFjxsDX1xd37twxWCckJAShoaHaeZVKhfT0dCQmJiI/P19brsnKEhISbOYLaosxA7YZty3GDNhm3IzZNmIGzBO35iqAMcyaYOTk5KCsrAyurq465a6urrh69ep91501axbmzZuHgQMHIikpqcp6JSUlKCkp0SuvqKjQ6xBNmS19QW0xZsA247bFmAHbjJsx247ajtuU/Zj1glVpaSni4+N1BmgqFAr4+fkhOjq6yvXmzJmDhQsXYsiQIYiPj6+NphIREZEJzH6JJDQ0FFu3bkVcXBxOnDiBGTNmwMnJCWFhYQCArVu3Ij09HQsWLAAABAUFYenSpfjnP/+JS5cuac9+3L59W2dMBREREZmP2ROM8PBwNGvWDEuXLoWbmxsSEhIwZMgQZGdnAwBat26tc0pm2rRpcHR0xI4dO3S2s3jxYixZsqRW205ERESGmT3BAICNGzdi48aNBpf1799fZ97Dw6M2mkREREQPwbZuGiYiIqJawQSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkxwSDiIiIZMcEg4iIiGTHBIOIiIhkZ/YEIzAwEGq1GkVFRYiJiUGvXr2qrPvUU09h+/btUKvVEEJg+vTptdhSIiLSUCqB/v2BJUukqX9/qYxIw6xfh1GjRiE0NBRLlixBz549cerUKezfvx/NmjUzWL9BgwZITU3FvHnzkJmZWcutJSIiAPD3B9LTgUOHgEWLpGn/fiAjQ1pGBJg5wZg5cyY2bdqELVu24OzZs5g6dSoKCwsxceJEg/Xj4uIQFBSEH3/8EXfu3Knl1hIRkb8/sH07cPIk0KcP4Owsfe7bBzRrJi1jkkEAYGeuHdvb28PLywshISHaMiEEIiMj4e3tLdt+HBwc4OjoqJ1XqVQAAKVSCWWl83maeaUNneOzxZgB24zbFmMGbDPumoxZqQTWrgV+/llKIoSQyk+eBF55BfjpJ8DXF1izBtizB6iokL0JVbTL9voZME/cpuzLbAlG06ZNYWdnh6ysLJ3yrKwsdOzYUbb9zJ8/H4sXL9Yr79atGwoKCrTzSqUS7du3BwBU1NZPhZnZYsyAbcZtizEDthl3Tcbs5QV4eACLFwPdu+sv/+knYOhQoGFDYMIEID5e1t1XyRb7GTBP3E5OTkbXNVuCUVtCQkIQGhqqnVepVEhPT0diYiLy8/O15ZqsLCEhwWa+oLYYM2CbcdtizIBtxl2TMXfoIH1GRACV/n+mlZwMbNki/fv2bSAhQdbdV8kW+xkwT9yaqwDGMFuCkZOTg7KyMri6uuqUu7q64urVq7Ltp6SkBCUlJXrlFRUVeh2iKbOlL6gtxgzYZty2GDNgm3HXVMwZGdLnU08BsbH6y596SrdubR5yW+xnoPbjNmU/ZrtgVVpaivj4ePj5+WnLFAoF/Pz8EB0dba5mERFRFY4dA9Rq4P33AYVCd5lCAcyfD9y6BaSmSnXJtpl1RExoaCgmT56McePGoWPHjvjss8/g5OSEsLAwAMDWrVuxYsUKbX17e3t0794d3bt3h4ODA1q1aoXu3bujbdu25gqBiMhmVFQAs2YBL74I7NqlexfJzp3ASy9J87Nn1+7ZC6qbzDoGIzw8HM2aNcPSpUvh5uaGhIQEDBkyBNnZ2QCA1q1b65yOadmyJRIqXdSbM2cO5syZg8OHD6N///613XwiIpsTEQGMGAF8+ilQ+WRzaSmQnQ0EBkp1iMw+yHPjxo3YuHGjwWX3Jg2XL1+G4t7zckREVKsiIqQzGD4+0m2pAHD4MHDkCM9c0F1mTzCIiMjyVFQAUVHSRGSIbT2VhIiIiGoFEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpKdnbkbQERERPJSKoF+/YAWLYDMTODYMaCiopbbULu7IyIioprk7w8kJwOHDwPbtkmfyclSeW1igkFERGQl/P2B7duBpCSgTx/A2Vn6TEqSymszyWCCQUREZAWUSmDtWmDvXmD4cCA2FigokD6HD5fK16yR6tVKe2pnN0RERFST+vUDPDyAFSsAIXSXCQGEhABt2kj1agMTDCIiIivQooX0efq04eWack29msYEg4iIyApkZkqfXboYXq4p19SraUwwiIiIrMCxY4BaDSxYACgUussUCmD+fCA1VapXG5hgEBERWYGKCmDWLOCll4CdO3XvItm5UyqfPbv2nofBB20RERFZiYgIYMQI6W6S6Oi75ampUnlERO21hQkGERGRFYmIAHbtMv+TPJlgEBERWZmKCuDIEfO2gWMwiIiISHZMMIiIiEh2TDCIiIhIdkwwiIiISHZMMIiIiEh2TDCIiIhIdjZ7m6pKpdKZVyqVcHJygkqlQkVt3yxsJrYYM2CbcdtizIBtxs2YbSNmwDxx3/u3835sLsHQHJz09HQzt4SIiMgyqVQq5Ofn37eOAoC4bw0r1LJlS70Do1KpkJ6ejlatWj3woFkLW4wZsM24bTFmwDbjZsy2ETNgvrhVKhUyMjIeWM/mzmAAuO+Byc/Pt6kvKGCbMQO2GbctxgzYZtyM2XbUdtzG7ouDPImIiEh2TDCIiIhIdkww/ufOnTtYvHgx7ty5Y+6m1BpbjBmwzbhtMWbANuNmzLajrsdtk4M8iYiIqGbxDAYRERHJjgkGERERyY4JBhEREcmOCQYRERHJzmoTjMDAQKjVahQVFSEmJga9evWqsm5UVBSEEHrT3r17tXXCwsL0lu/bt682QjFKv379sHv3bqSnp0MIgWHDhj1wHR8fH8THx6O4uBgXL15EQECAXh1TjqM5mBq3v78/Dhw4gOzsbOTl5eH48eMYPHiwTp3g4GC9vj579mxNhmESU2P28fEx+P12dXXVqWdtfW3oZ1YIgdOnT2vr1PW+njdvHk6cOIFbt24hKysLERERaN++/QPXGzFiBM6ePYuioiIkJibi+eef16uzZMkSZGRkoLCwEAcPHsSTTz5ZEyGYrDoxT5o0CUePHsWNGzdw48YNHDx4UO/7W9d/h1cn7oCAAL2YioqK9OqZq6+tMsEYNWoUQkNDsWTJEvTs2ROnTp3C/v370axZM4P1X3nlFbi5uWmnzp07o6ysDP/5z3906u3bt0+n3muvvVYb4RjFyckJp06dwttvv21U/SeeeAI///wzoqKi4OnpifXr1+Orr77S+WNr6nE0B1Pjfu6553Dw4EG88MIL8PLyQlRUFPbs2QNPT0+deqdPn9bp6759+9ZA66vH1Jg12rdvrxNTdna2dpk19vX06dN14n3sscdw/fp1vZ/rutzXPj4+2LhxI/r06YNBgwbB3t4eBw4cQIMGDapcx9vbG9u2bcPXX3+NHj16YOfOndi5cyc6d+6srRMUFIR3330XU6dORe/evVFQUID9+/fD0dGxNsK6r+rE7Ovri23btqF///7w9vbGlStXcODAAbRs2VKnXl3+HV6duAEgLy9PJyZ3d3ed5ebua2FtU0xMjNiwYYN2XqFQiL///lvMnTvXqPWnT58u8vLyRIMGDbRlYWFhIiIiwuyxGTMJIcSwYcPuW2flypUiKSlJp2zbtm1i3759sh3Huhi3oen06dNi4cKF2vng4GDx559/mj0euWL28fERQgjh4uJSZR1b6Othw4aJ8vJy0bp1a4vsawCiadOmQggh+vXrV2WdH374QezZs0enLDo6Wnz22Wfa+YyMDDFr1iztfMOGDUVRUZEYPXq02WOsTsz3TkqlUuTl5Yk33nhDW2ZJv8ONjTsgIEDk5ubedzvm7GurO4Nhb28PLy8vREZGasuEEIiMjIS3t7dR23jzzTfxww8/oLCwUKfc19cXWVlZOHfuHD799FM8+uijsra9Nnl7e+scIwDYv3+/9hjJcRwtgUKhgEqlwo0bN3TK27Vrh/T0dKSkpODbb7/F448/bqYWyichIQEZGRk4cOAAnnnmGW25rfT1m2++icjISKSlpemUW1Jfu7i4AIDe97WyB/1se3h4oEWLFjp1bt26hdjY2DrZ38bEfK8GDRrA3t5ebx1L+h1ubNzOzs64dOkS0tLSsHPnTjz11FPaZebua6tLMJo2bQo7OztkZWXplGdlZcHNze2B6/fq1Qtdu3bFV199pVP+66+/Yty4cfDz88PcuXPh4+ODffv2Qam0zEPo5uZm8Bi5uLigfv36D30cLcXs2bPh7OyM8PBwbVlsbCzGjx+PIUOGYNq0afDw8MCxY8fg7OxsxpZWX2ZmJqZMmYJXX30Vr776Kq5cuYLDhw+jR48eAB7+Z8YStGjRAs8//7zez7Ul9bVCocD69evx3//+F2fOnKmyXlU/25q+1HxaQn8bG/O9Vq1ahYyMDJ0/rJb0O9zYuM+fP4+JEydi2LBheP3116FUKnH8+HG0atUKgPn72ibfpno/b775JhITE3Hy5Emd8h9//FH779OnTyMxMRGpqanw9fXFoUOHaruZJIPXXnsNwcHBGDZsGK5du6Yt//XXX7X/TkpKQmxsLC5fvoxRo0Zh8+bN5mjqQ7lw4QIuXLignY+Ojkbbtm3x3nvvYdy4cWZsWe0JCAjAzZs3sXPnTp1yS+rrjRs3okuXLnVqjEhNq07Mc+fOxZgxY+Dr66vzCG1L+h1ubNwxMTGIiYnRzh8/fhxnz57FlClTsGjRoppu5gPVvdTtIeXk5KCsrExvhLyrqyuuXr1633UbNGiAMWPG4Ouvv37gftRqNa5du1ZnRl6b6urVqwaPUV5eHoqLix/qOFqC0aNH46uvvsKoUaPw22+/3bduXl4eLly4YLF9bciJEye08Vh7XwPAxIkT8e9//xulpaX3rVdX+3rDhg146aWX0L9/f6Snp9+3blU/25q+1HzW9f42JWaNWbNmYd68eRg8eDCSkpLuW7eu/g6vTtwaZWVl+PPPP7UxmbuvrS7BKC0tRXx8PPz8/LRlCoUCfn5+iI6Ovu+6I0eOhKOjI7799tsH7qdVq1Zo0qQJMjMzH7rN5hAdHa1zjABg0KBB2mP0MMexrhszZgzCwsLw2muv4ZdffnlgfScnJ7Rt29Zi+9oQT09PbTzW3NeANDq/Xbt2Rv3HoS729YYNG+Dv748BAwbg0qVLD6z/oJ9ttVqNzMxMnToqlQq9e/euM/1taswAMGfOHCxcuBBDhgxBfHz8A+vXxd/h1Ym7MqVSia5du2pjqgt9bfbRsnJPo0aNEkVFRWLcuHGiY8eO4vPPPxc3btwQzZs3FwDE1q1bxYoVK/TWO3r0qNi2bZteuZOTk/joo49E7969hbu7uxgwYICIi4sT58+fFw4ODmaPV9PG7t27i+7duwshhJgxY4bo3r27ePzxxwUAsWLFCrF161Zt/SeeeELcvn1brFq1SnTo0EFMmzZNlJaWisGDBxt9HOvCZGrcr732migpKRHTpk0Trq6u2qlhw4baOqtXrxbPPfeccHd3F97e3uLAgQMiOztbNG3a1OzxVifm6dOni6FDh4q2bduKzp07i3Xr1omysjIxYMAAq+5rzfTNN9+I6Ohog9us6329ceNGkZubK5577jmd72v9+vW1de79febt7S1KSkrEzJkzRYcOHURwcLC4c+eO6Ny5s7ZOUFCQuHHjhnj55ZdFly5dREREhEhJSRGOjo4WGXNQUJAoLi4Wr7zyis46Tk5O2u9OXf8dXp24Fy5cKAYNGiQ8PDxEjx49xPfffy8KCwtFp06d6kpfm//A1sT09ttvi0uXLoni4mIRExMjnn76ae2yqKgoERYWplO/ffv2QgghBg4cqLet+vXri19//VVkZWWJO3fuCLVaLb744os69ctXcyvivTRxhoWFiaioKL11/vjjD1FcXCySk5NFQECAScexLkymxh0VFXXf+oB0u256erooLi4WV65cEdu2bRNt2rQxe6zVjXnOnDni4sWLorCwUOTk5IhDhw4JX19fq+9rQLolr6CgQEyaNMngNut6X1el8s+qod9nI0aMEOfOnRPFxcUiKSlJPP/883rbXrJkicjMzBRFRUXi4MGDol27dmaPt7oxq9Vqg+sEBwcLwDJ+h1cn7tDQUO3PbGZmpti7d6/w9PSsM33N17UTERGR7KxuDAYRERGZHxMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCIiIpIdEwwiIiKSHRMMIiIikh0TDCICIL2zQwgBFxeXh9pOWFgYIiIiZGqVcYKDg/Hnn3/et4452kVky5hgEFmZKVOm4NatW6hXr562zMnJCSUlJYiKitKpq0kq2rRpg+PHj8PNzQ15eXk11rawsDAIIaqc1Gp1je17+vTpGD9+fI1tn4h0McEgsjJRUVFQqVT4v//7P21Zv379cPXqVfTu3RuOjo7a8v79++Py5ctITU1FaWkpsrKyarRt06dPh5ubm3YCgPHjx2vne/XqZfI2KydS93Pr1q0aTZ6ISBcTDCIrc+HCBWRkZMDX11db5uvri127dkGtVqNPnz465ZqzGvdeIgkICEBubi4GDx6Mv/76C/n5+di3b582MQCk10OvXbsWubm5yMnJwapVq6BQKKps261bt5CVlaWdAODmzZvIyspC/fr1ce3aNXTv3l1b38XFBUII+Pj46LRxyJAhiIuLw507d9C3b19t/bfeegtpaWkoKCjAjz/+iIYNG2qX3XuJJCoqCh9//DFWrVqF69evIzMzE8HBwTrtdXFxwaZNm5CdnY28vDz89ttv6Natm3Z5t27dcOjQIW3yEhcXBy8vr/v0DpHtYIJBZIWioqLQv39/7Xz//v1x+PBhHDlyRFtev3599O7dW++ySWUNGjTA7Nmz8cYbb+C5555D69atsWbNGu3yWbNmYfz48Zg4cSL69u2LRx99FP7+/jUX2P+sXLkS8+bNQ6dOnZCYmAgAePLJJzFq1Ci8/PLLGDJkCHr06IFPP/30vtsJCAhAQUEBevfujaCgICxatAgDBw7ULv/Pf/6D5s2b4/nnn4eXlxf++OMP/Pbbb2jcuDEA4LvvvsPff/+NXr16wcvLCytXrkRpaWnNBU5kYcz+mlpOnDjJO7355psiPz9f1KtXTzg7O4uSkhLRtGlTMWbMGHH48GEBQPTv318IIcTjjz8ugLuvQ3dxcREAREBAgBBC6Ly+fNq0aSIzM1M7n56eLmbPnq2dr1evnkhLSxMRERFGtVMIIYYNGyYACHd3dyGEEN27d9cud3FxEUII4ePjo9PGoUOH6mwnODhYlJaWipYtW2rL/vGPf4iysjLh6uoqAOl17pXbFRUVJY4ePaqzndjYWBESEiIAiGeffVbcvHlTODg46NS5ePGimDx5sgAg8vLyxLhx48ze35w41cWJZzCIrNDhw4fh7OyMXr16oV+/frhw4QJycnJw5MgR7TgMX19fpKSk4MqVK1Vup6CgAKmpqdr5zMxMNG/eHADQsGFDtGzZErGxsdrl5eXliIuLq7nA/sfQPtLS0pCRkaGdj46ORr169dChQ4cqt6M5+6FROb7u3bvD2dkZ169fR35+vnby8PBA27ZtAQChoaH46quvcPDgQcydOxdt2rSRIzwiq2Bn7gYQkfw0iUP//v3RuHFjHDlyBID0B/TKlSt45pln0L9/fxw6dOi+27n3dL8QAkplzfy/pKKiAgB0xnDY29sbrFtQUCDLPu8Xn7OzMzIzM3XGsmjcvHkTALBkyRJ8//33ePHFF/H8889jyZIlGDNmDHbu3ClL+4gsGc9gEFmpqKgo+Pr6wtfXF4cPH9aWHz16FM8//zyefvrp+46/eJBbt24hIyMDvXv31pbVq1ev2oMcr127BgBo0aKFtszT09Po9Vu3bq2zbp8+fVBeXo7z589Xqz1//PEH3NzcUFZWhpSUFJ3p+vXr2noXL17E+vXr8Y9//AM//fQTJkyYUK39EVkbJhhEVioqKgp9+/aFp6en9gwGABw5cgRTpkyBo6PjQyUYAPDxxx9j3rx5GDZsGDp06IBPP/0UjRo1qta2iouLER0djXnz5qFjx4547rnnsGzZMpPW37p1K7p164a+ffvik08+QXh4eLVvvY2MjER0dDR27tyJQYMGwd3dHd7e3li2bBm8vLxQv359bNiwAT4+PmjdujWeeeYZ9OrVC2fPnq3W/oisDS+REFmpqKgoNGjQAGfPnkV2dra2/MiRI2jYsCHOnTuHq1evPtQ+1q5dixYtWmDr1q2oqKjA5s2bERERUe2ngU6cOBFff/014uPjcf78eQQFBeHgwYNGrZucnIyffvoJv/zyCx599FHs3bsXgYGB1WqHxgsvvIDly5cjLCwMzZo1w9WrV3H06FFkZWWhvLwcTZo0wTfffANXV1fk5OTgp59+0rvVlchWKSCN9iQiIiKSDS+REBERkeyYYBAREZHsmGAQERGR7JhgEBERkeyYYBAREZHsmGAQERGR7JhgEBERkeyYYBAREZHsmGAQERGR7JhgEBERkeyYYBAREZHs/j9jJPCRmWdTBAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context('dark_background'):\n", + " fig, ax = plt.subplots(1,1,figsize=(6,4))\n", + "\n", + " ax.scatter(res.X[:,0], res.X[:,1], edgecolors='yellow', facecolors='k')\n", + " ax.set_ylabel(r\"Natural Gas\")\n", + " ax.set_xlabel(r\"Wind Turbines\")\n", + " ax.set_title(\"Fraction of Peak Demand\")\n", + " ax.grid(alpha=0.2)\n", + "\n", + " plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Interestingly, the capacity for natural gas is fairly stable while the capacity for wind turbines is less than double the peak demand. But the natural gas capacity drops off quickly once the wind turbine capacity *exceeds* twice the peak demand." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, "source": [] } ],