{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/samgdotson/osier/env-instructions?labpath=docs%2Fsource%2Fexamples%2Fcapacity_expansion_tutorial.ipynb)\n", "\n", "# 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. \n", "\n", "1. First we will size a natural gas plant and battery storage for a test system while minimizing total cost.\n", "\n", "2. Next, we will replace the natural gas plant with a wind turbine while still only minimizing for total cost.\n", "\n", "3. Lastly, we reintroduce the natural gas plant and co-optimize two objectives, total cost and lifecycle carbon emissions.\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!" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solver set: cbc\n" ] } ], "source": [ "# basic imports\n", "import pandas as pd \n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from unyt import kW, minute, hour, day, MW\n", "import sys\n", "\n", "# osier imports\n", "from osier import CapacityExpansion\n", "import osier.tech_library as lib\n", "\n", "# pymoo imports\n", "from pymoo.algorithms.moo.nsga2 import NSGA2\n", "from pymoo.optimize import minimize\n", "\n", "\n", "# set the solver based on operating system -- assumes glpk or cbc is installed.\n", "if \"win32\" in sys.platform:\n", " solver = 'glpk'\n", "elif \"linux\" in sys.platform:\n", " solver = \"cbc\"\n", "else:\n", " solver = \"cbc\"\n", "\n", "print(f\"Solver set: {solver}\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "As before, `osier` needs two fundamental things in order to run the model\n", "\n", "1. A technology set\n", "2. A net demand profile\n", "\n", "Let's create both of these, first. This time, we'll also create a dummy \"wind\" profile and a wind technology to use in the latter two examples.\n", "We'll also borrow some code from the dispatch tutorial.\n", "\n", "## Creating the demand profile" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_hours = 24 # hours per day\n", "n_days = 2 # days to model\n", "N = n_hours*n_days # total number of time steps\n", "phase_shift = 0 # horizontal shift [radians]\n", "base_shift = 2 # vertical shift [units of demand]\n", "hours = np.linspace(0,N,N)\n", "total_demand = 185 # [MWh], sets the total demand [units of energy]\n", "\n", "demand = (np.sin((hours*np.pi/n_hours*2+phase_shift))*-1+np.ones(N)*(base_shift+1))\n", "\n", "np.random.seed(1234) # sets the seed for repeatability\n", "\n", "noise = np.random.random(N)\n", "demand += noise\n", "\n", "demand = demand/demand.sum() * total_demand # rescale\n", "\n", "with plt.style.context(\"dark_background\"):\n", " plt.plot(hours, demand, color='cyan')\n", " plt.ylabel('Demand [MW]')\n", " plt.xlabel('Time [hr]')\n", " plt.grid(alpha=0.2)\n", " plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Creating the \"wind\" profile\n", "\n", "Wind speeds follow a Weibull distribution \n", "\n", "$f(v) = \\left(\\frac{k}{\\lambda}\\right)\\left(\\frac{v}{\\lambda}\\right)^{k-1}e^{-\\left(\\frac{v}{\\lambda}\\right)^k}$\n", "\n", "Where $v$ is our random variable (velocity)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(123)\n", "shape_factor = 2.5\n", "wind_speed = np.random.weibull(a=shape_factor,size=N)\n", "\n", "with plt.style.context('dark_background'):\n", " plt.plot(wind_speed, color='lime')\n", " plt.grid(alpha=0.2)\n", " plt.ylabel('Demand [MW]')\n", " plt.xlabel('Time [hr]')\n", " plt.show()\n", " " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "`osier.CapacityExpansion` will normalize the wind and solar profiles and rescale the maximum values to the rated capacity of the installed technology (for each \"individual\" portfolio tested). Just for fun, let's plot the \"net demand\" if this wind speed were the true value.\n", "\n", "Also note that the weibull distribution is related to wind *speed*, not energy production. For simplicity, we will assume they're equal." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context('dark_background'):\n", " plt.plot(hours, demand-wind_speed, color='white', linestyle='--', label='Net Demand')\n", " plt.plot(hours, demand, color='cyan', label='Demand')\n", " plt.plot(hours, wind_speed, color='lime', label='Wind')\n", " plt.grid(alpha=0.2)\n", " plt.ylabel('Demand [MW]')\n", " plt.xlabel('Time [hr]')\n", " plt.legend()\n", " plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Creating the Technology Mix\n", "\n", "Let's try to meet demand with a properly sized wind turbine and storage combination." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[Battery: 815.3412599999999 MW, WindTurbine: 0.0 MW]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "technologies = [lib.battery, lib.wind]\n", "technologies" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Setting up the Capacity Expansion Problem\n", "\n", "`osier.CapacityExpansion` inherits from a `pymoo.Problem` object. This class does not run the optimization itself, so we'll have to add the `pymoo` pieces later. Before we can instantiate the problem, though, we need to define the **objectives** to optimize over!\n", "\n", "### Defining objectives\n", "\n", "`osier` comes with a set of predefined objectives, such as cost and carbon emissions. Let's start with cost." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from osier import total_cost" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "problem = CapacityExpansion(technology_list = [lib.natural_gas, lib.battery],\n", " demand=demand*MW,\n", " objectives = [total_cost],\n", " solver=solver) # the objectives must be passed as a LIST of functions!" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Setting up a Pymoo algorithm\n", "\n", "Pymoo might seem intimidating, but it too requires only a few fundamental pieces\n", "\n", "1. An algorithm object (imported from Pymoo)\n", "2. A problem to optimize (we created this in the previous cell!)\n", "3. A stopping criterion." ] }, { "cell_type": "code", "execution_count": 9, "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 | 0.0515267085 | ideal\n", " 3 | 60 | 1 | 0.000000E+00 | f\n", " 4 | 80 | 1 | 0.0086827427 | ideal\n", " 5 | 100 | 1 | 0.0232186705 | ideal\n", " 6 | 120 | 1 | 0.0093040149 | ideal\n", " 7 | 140 | 1 | 0.0041260151 | ideal\n", " 8 | 160 | 1 | 0.0027592007 | ideal\n", " 9 | 180 | 1 | 0.0032212526 | ideal\n", " 10 | 200 | 1 | 0.000000E+00 | f\n", "The simulation took 3.759 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": [ "## Checking the results\n", "\n", "We can check the results by printing the results from the `res` object. 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", "Seeing how the dispatch model uses each of the specified technologies can be useful for debugging purposes." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.26311183])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([0.84733418, 0.17653586])" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(res.F, res.X)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[NaturalGas_Conv: 4.459169645008025 MW, Battery: 0.9290353002984896 MW]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from osier import DispatchModel\n", "lib.battery.capacity = res.X[1]*demand.max()*MW\n", "lib.natural_gas.capacity = res.X[0]*demand.max()*MW\n", "\n", "technologies = [lib.natural_gas, lib.battery]\n", "display(technologies)\n", "\n", "model = DispatchModel(technology_list=technologies,\n", " net_demand=demand)\n", "model.solve(solver=solver)" ] }, { "cell_type": "code", "execution_count": 11, "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=model.results['NaturalGas_Conv'].values, \n", " color='tab:orange', \n", " label='Natural Gas')\n", " ax.fill_between(hours, \n", " y1=model.results['NaturalGas_Conv'].values, \n", " y2=model.results['Battery'].values+model.results['NaturalGas_Conv'].values, \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.plot(hours, model.net_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": [ "## 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 samples a set of 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": 12, "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": 13, "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 2.740 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": 14, "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=solver)" ] }, { "cell_type": "code", "execution_count": 15, "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": 16, "metadata": {}, "outputs": [], "source": [ "from osier import annual_emission\n", "\n", "# the default emission is `lifecycle_co2_rate`" ] }, { "cell_type": "code", "execution_count": 17, "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": 18, "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 | 0.0286189133 | ideal\n", " 6 | 120 | 16 | 0.0143108618 | f\n", " 7 | 140 | 19 | 0.0038096293 | ideal\n", " 8 | 160 | 20 | 0.0123935101 | f\n", " 9 | 180 | 20 | 0.0034209964 | f\n", " 10 | 200 | 20 | 0.0058865852 | nadir\n", "The simulation took 4.102 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", "\n", "### Objective Results" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[5.20590010e-01, 4.22836310e-05],\n", " [1.23679702e+00, 4.51507227e-06],\n", " [6.03522552e-01, 2.98494026e-05],\n", " [5.51811737e-01, 3.81846077e-05],\n", " [1.23258101e+00, 4.54359623e-06],\n", " [1.03741440e+00, 5.01230981e-06],\n", " [7.08193933e-01, 1.88392323e-05],\n", " [6.48881008e-01, 2.44276338e-05],\n", " [7.63720969e-01, 1.58503836e-05],\n", " [6.46407413e-01, 2.45709127e-05],\n", " [9.84786540e-01, 8.96392716e-06],\n", " [9.04653983e-01, 9.91760497e-06],\n", " [8.01539644e-01, 1.42117555e-05],\n", " [7.16559414e-01, 1.82649084e-05],\n", " [9.03588106e-01, 1.18543737e-05],\n", " [8.68432800e-01, 1.31478267e-05],\n", " [9.93427512e-01, 7.06494072e-06],\n", " [1.02831579e+00, 6.87727034e-06],\n", " [8.48928279e-01, 1.35553105e-05],\n", " [5.23407779e-01, 4.19378637e-05]])" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(res.F)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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rJuWrXN1PQEAA58+fp06dOqX+DrWw+wrHvHnziIyM5Pjx4yxatIjIyEgyMzMdDvZa+fn5HD58GIBt27bRpUsXxo0bR0xMTLnev3XrVoYOHVrq8by8PPLy8kq0FxQUlPmlWo678xfvLMrVMylXz1WT8lWu7sWe2OwuOGJiYjh+/DhHjx4lPDyc8PBwm/0GDRpk76lt8vLyKnZF4nrCwsJIT093ymeLiIiIc9hdcCxZsqTCt01KM2PGDL755htOnDhBQEAAkZGR9OrVyzoXR2xsLI0bN2b48OEAjBs3jmPHjrFnzx58fX0ZOnQogwcPJiIiwiXxiYiIiGPsLjiioqJcEQcADRs2ZOnSpQQHB5OVlcWuXbu49957+fe//w1AcHAwISEh1v6+vr7MmjWLxo0bk5uby549e+jfvz/ffPONy2IUERER+9ldcMyYMYOVK1fy008/OT2Yxx9/vMzj1xY7M2fOZObMmU6PQ0RERJzL7udYg4ODWb16NWlpaSxYsID+/fvj6+vrithERETEQ9hdcIwcOZKGDRvy8MMPc/78eeLi4jhz5gxffvklw4cP56abbnJFnCIiIlKNOTxT13fffcfzzz9PmzZtuOOOO9i6dSujRo0iNTWVTZs2MWHCBBo1auTMWEVERKSaqvBMowD79+9n//79zJw5k/r16/PAAw/wwAMPABAXF+eMjxAREZFqzO4rHAsXLuTGG28s9fiZM2f48MMPefDBB1VsiIiICOBAwTF8+HB+85vfuCIWERER8VB2FxxeXl6uiENEREQ8mEODRl0106iIiIh4JocGjR48ePC6RYcejxURERELhwqOl156iaysLGfHIiIiIh7KoYLj008/5fTp086ORURERDyU3WM4NH5DRERE7KWnVERERMTl7L6lcsMNN7giDhEREfFgdhccCxcuLFe/6Ohou4MRERERz2R3wTFixAh+/vlntm/frtsrIiIiUi52Fxzz588nMjKS5s2b8+GHH/Lxxx9z7tw5V8QmIiIiHsLuQaNjxowhODiY119/nT//+c+cOHGCzz77jL59+7oiPhEREfEADk1tnpeXx6effkrfvn257bbb2LNnD++++y4///wz/v7+zo5RREREqjmHCo6iDMPAMAy8vLwwmSp8OhEREfFADlUIvr6+REZGEh8fz4EDB2jXrh1jx44lJCSEnJwcZ8coIiIi1Zzdg0bnzZtHZGQkx48fZ9GiRURGRpKZmemK2ERERMRD2F1wxMTEcPz4cY4ePUp4eDjh4eE2+w0aNKjCwYmIiIhnsLvgWLJkidZTEREREbvYXXBERUW5Ig4RERHxYHYNGm3Xrp1ds4vedtttWntFRERE7Cs4tm/fzk033VTu/omJiYSEhJS7f0xMDDt37iQrK4usrCy2bNnCvffeW+Z7evbsSVJSErm5uRw+fJjRo0eX+/PENhMQDkQWvuphZxERqSi7bql4eXnxyiuv8Ouvv5arv6+vr13B/PLLL0yaNImUlBQAhg8fzqpVqwgLC2Pv3r0l+jdt2pQ1a9bw/vvvM3ToUO666y7effddTp8+zfLly+36bDEbCLwFNC7SdhSYAKyokohERMQT2FVwbN68mVatWpW7f2JiIrm5ueXuv3r16mL7U6ZM4cknn+TOO++0WXBYnpgZP348APv376dz585MnDhRBYcDBgL/BBKAh4BdQFvgBeALYDAqOkRExDF2FRx33323q+IowWQy8dBDD+Hv709iYqLNPl27diU+Pr5Y27p164iOjsbb25srV66UeI+vry9+fn7W/YCAAOvnlTZTquWYJ8+kagLigNUmE9NNJrabTBQAPwERwHJgFvA1UFB1YTpVTfheLZSr56pJ+SpX92NPfHY/peJqbdu2JTExkVq1anHx4kUGDhzIvn37bPYNCgoiIyOjWFtGRgY+Pj7Ur1+fkydPlnjP5MmTmTZtWon29u3blzpLqslkIjQ0FICCAk/5dVtcJ6AZ8LLJRMvQUAyK57oceACIArZVSYTOVxO+Vwvl6rlqUr7K1f3Ys36a2xUcBw4c4PbbbycwMJBBgwaxePFiwsPDSy06rp0TxPIUTWlzhbz66qvMnj3buh8QEEBqaiq7du0iOzvb5nssFdyOHTvc+ouvCMuNshUmEy0pmWsK8BFwEdhR2cG5SE34Xi2Uq+eqSfkqV/djuUtQHm5XcOTn53P48GEAtm3bRpcuXRg3bhwxMTEl+p48eZKgoKBibQ0aNCA/P5+zZ8/aPH9eXh55eXkl2gsKCsr8Ui3H3fmLr4i0wtfbgMs2cr2tSD9P+gl4+vdalHL1XDUpX+XqXuyJzb1vDmG+YlF0zEVRiYmJ9OnTp1hb3759SUpKsjl+Q0qXgPlplEnAtTOteAGTgSOF/UREROzlVgXHjBkz6N69O02aNKFt27ZMnz6dXr16sWzZMgBiY2NZvHixtf/8+fNp0qQJcXFxtG7dmqioKKKjo5k1a1ZVpVBtFWB+9PV+zINH7wRuLHxdWdg+Ec+6uiEiIpXH4VsqtWrVwsvLy/rYa0hICAMHDmTv3r18++23Dp2zYcOGLF26lODgYLKysti1axf33nsv//73vwEIDg4uNpHYsWPH6N+/P3PmzGHMmDGkpaXx9NNP65FYB60AHsY8D8f3RdqPoEdiRUSkYhwuOFatWsXy5ctZsGABdevW5YcffiA/P5/69evz7LPPMn/+fLvP+fjjj5d53NY6Lps3b6ZTp052f5bYtgL4GQgAGgLpmG+j6MqGiIhUhMO3VDp27EhCgvmO/uDBg8nIyKBJkyb85S9/4emnn3ZagFL5CoBNwKeFryo2RESkohwuOGrXrm19jLRv374sX74cwzDYunUrTZo0cVqAIiIiUv05XHCkpKTw4IMPcvPNN9OvXz/rjJ8NGjTgwoULTgtQREREqj+HC46XX36ZWbNmcezYMX788Ue2bt0KmK92bN++3WkBioiISPXn8KDRL7/8kpCQEIKDg9mxY4e1ff369XpKRERERIqp0Eyjv//977nnnnsYM2ZMiQVcoqOjKxSYiIiIeA6HC46pU6cydepUkpKSSE9PL3XtEhERERGHC46YmBhGjBjBxx9/7Mx4RERExAM5PGjU19eXLVu2ODMWERER8VAOFxwffPABQ4YMcWYsIiIi4qEqtJbKE088wR//+Ed27dpFfn5+seMTJkyocHAiIiLiGRwuONq3b299HLZt27bFjmkAqYiIiBTlcMHRu3dvZ8YhIiIiHszhMRwiIiIi5VWhib/q1q1LdHQ0bdq0wTAM9u3bx8KFC7WWioiIiBTj8BWOTp06cfjwYcaPH0+9evWoX78+48eP5/Dhw4SFhTkzRhEREanmHL7CMWfOHL766itGjRrF1atXAbjhhhv44IMPePPNNwkPD3dakCIiIlK9OVxwdO7cuVixAXD16lXeeOMNkpKSnBKciIiIeAaHb6lcuHCBkJCQEu233HIL2dnZFQpKREREPIvDBcdnn33GwoULefjhh7n55ptp3LgxjzzyCB988AGffPKJM2MUERGRas7hWyoTJ07EMAyWLFmCt7f5NPn5+bz33ntMmjTJaQGKiIhI9edwwZGfn88zzzzD5MmTufXWW/Hy8iIlJYXc3FxnxiciIiIeoELzcADk5uaSnJzsjFhERETEQ9lVcMTFxfHiiy/y66+/EhcXV2ZfLd4mIiIiFnYVHGFhYfj4+Fj/XBot3iYiIiJF2VVwFF2wTYu3iYiISHk5/FhsrVq1+M1vfmPdDwkJYdy4cfTp08fhYCZNmsSPP/7IhQsXyMjIYMWKFYSGhpb5nvDwcAzDKLG1atXK4ThERETEuRwuOFatWsVf/vIXwLyI248//siECRNYtWoVMTExDp0zPDycefPmceedd9KnTx+8vb2Jj4+ndu3a131vaGgoQUFB1u3QoUMOxSAiIiLO5/BTKh07dmT8+PEADB48mJMnTxIWFsagQYN4+eWXmT9/vt3nvO+++4rtR0VFcfr0aTp16kRCQkKZ7z116hRZWVl2f6ZUHRPQAwgG0oEEoKBKIxIREVdxuOCoXbu2dQrzvn37snz5cgzDYOvWrTRp0sQpwdWtWxeAzMzM6/bdvn07tWrVYu/evUyfPp2NGzfa7Ofr64ufn591PyAgAACTyYTJZPuCj+VYacc9SWXlOhCYCTQr0pYGPAN86dJP/i99r56pJuUKNStf5ep+7InP4YIjJSWFBx98kBUrVtCvXz/mzJkDQIMGDbhw4YKjpy1m9uzZJCQksGfPnlL7pKenM2rUKLZt24afnx/Dhg1j/fr19OrVy+ZVkcmTJzNt2rQS7e3btycnJ8fmZ5hMJutYkoICz/43eGXkejfwBuYrGtOAw8CtQDTwGbAYeNsln1ycvlfPVJNyhZqVr3J1P/7+/uXu6wU49AzroEGD+Mc//sENN9zA+vXr6devH2Ae+NmzZ0/69+/vyGmt3nnnHf70pz/RvXt3UlNT7XrvV199hWEYDBgwoMQxW1c4UlNTCQwMLHXROZPJxO23386OHTvc+ot3BlfnagIOAruBCIr/x+cFrADuBR7D9Vc69L16ppqUK9SsfJWr+wkICOD8+fPUqVPnugu3OnyF48svvyQkJITg4GB27txpbV+/fj0rVqxw9LQAzJ07lwceeICePXvaXWwAbN26laFDh9o8lpeXR15eXon2goKCMr9Uy3F3/uKdxZW59sB8G+VR4KqN47HAn4E3MRccrv5p63v1TDUpV6hZ+SpX92JPbBV6LPbChQvs2LEDwzCsj8X+9re/5cCBA46elrfffpuIiAh69+7NsWPHHDpHWFgY6enpDscgrhNc+FraZPiW9kaYixMREfEMDl/hWLVqFcuXL2fBggXUrVuXH374gfz8fOrXr8+zzz7r0FMq8+bNY8iQIQwYMIDs7GwaNmwIQFZWFpcuXQIgNjaWxo0bM3z4cADGjRvHsWPH2LNnD76+vgwdOpTBgwcTERHhaGriQpYysC3wg43jbYv8OdjGcRERqZ4cvsLRsWNH66DMwYMHk5GRQZMmTfjLX/7C008/7dA5n3rqKQIDA9m0aRMnT560bo888oi1T3BwMCEhIdZ9X19fZs2axa5du0hISKB79+7079+/wrd1xDUSMD+N8jfMYzaK8gImA78U7usalYiI53Crx2K9vK79FVRSVFRUsf2ZM2cyc+ZMhz5PKl8B8DTwObAK85iNZMxXNiYD9wPbgDzMxYmIiHgGh69wWB6Lvfnmm+nXrx/x8fGAcx+LFc/0JebHYu8FEoHswteOmIuNTsBENAmYiIgncbjgePnll5k1axbHjh3jhx9+YOvWrYD5asf27dudFqB4pkmYn1QpetvkZuAmYDDmx2NFRMRzuOVjsVIzfIm5sND05iIins/hggMgIyODjIyMYm0//fRThQKSmqUA2FTVQYiIiMvZVXDExcXx4osv8uuvvxIXF1dm3wkTJlQoMBEREfEcdhUcYWFh+Pj4WP9cGsNwaLZ0ERER8VB2FRy9e/e2+WcRERGRsrj3urciIiLiESo0aNTPz4/27dvToEEDTKbitcvXX39docBERETEczhccPTr148lS5ZQv379EscMw8Dbu0K1jIiIiHgQh2+pvPPOO3z++ecEBwdzww03FNtUbIiIiEhRDhccDRo0YPbs2Zw6dcqZ8YiIiIgHcrjg+OKLL+jVq5cTQxERERFP5fC9j7Fjx/L555/To0cPdu/eTX5+frHjb7/9doWDExEREc/gcMExZMgQ+vXrR25uLr169So22ZdhGCo4RERExMrhgmP69OlMnTqV1157TTOLioiISJkcHsPh6+vLZ599pmJDRERErsvhgmPx4sU88sgjzoxFREREPJTDt1RuuOEGnnvuOfr168euXbtKDBrVarEiIiJi4XDB0a5dO7Zv3w5A27ZtnRaQiIiIeB6HCw6tFisiIiLlZfcYjn/961/UqVPHuv/CCy9Qt25d6369evXYs2ePc6ITERERj2B3wdGvXz/8/Pys+88//zz16tWz7nt7e9OqVSvnRCciIiIewe6Cw8vLq8x9ERERkWs5/FisiIiISHnZXXAYhlFisi9N/iUiIiJlsfspFS8vLz766CMuX74MQK1atZg/fz45OTkAxcZ32GvSpElERETQunVrcnNz2bJlC88//zwHDx4s8309e/Zk9uzZ/P73vyctLY033niDBQsWOByHiIiIOJfdVzgWL17MqVOnyMrKIisri48//pi0tDTr/qlTp1iyZIlDwYSHhzNv3jzuvPNO+vTpg7e3N/Hx8dSuXbvU9zRt2pQ1a9aQkJBAWFgYsbGxzJ07l4iICIdiEBEREeez+wrHyJEjXREHAPfdd1+x/aioKE6fPk2nTp1ISEiw+Z6YmBiOHz/O+PHjAdi/fz+dO3dm4sSJLF++3GWxioiISPk5PPFXZbDM75GZmVlqn65duxIfH1+sbd26dURHR+Pt7c2VK1eKHfP19S122ycgIAAAk8mEyWT7go/lWGnHPYly9UzK1XPVpHyVq/uxJz63Ljhmz55NQkJCmROJBQUFkZGRUawtIyMDHx8f6tevz8mTJ4sdmzx5MtOmTStxnvbt21vHoVzLZDIRGhoKQEFBgZ1ZVC/K1TMpV89Vk/JVru7H39+/3H3dtuB45513aN++Pd27d79u32ufkrHMDWLr6ZlXX32V2bNnW/cDAgJITU1l165dZGdn2zy/pYLbsWOHW3/xzqBcPZNy9Vw1KV/l6n4sdwnKwy0Ljrlz5/LAAw/Qs2dPUlNTy+x78uRJgoKCirU1aNCA/Px8zp49W6J/Xl4eeXl5JdoLCgrK/FItx935i3cW5eqZlKvnqkn5Klf3Yk9sbndz6O233yYiIoLevXtz7Nix6/ZPTEykT58+xdr69u1LUlJSifEbIiIiUjWcUnDUqlWLRo0alWi/7bbb7DrPvHnzGDp0KEOGDCE7O5uGDRvSsGFDatWqZe0TGxvL4sWLrfvz58+nSZMmxMXF0bp1a6KiooiOjmbWrFmOJyQ1kgkIByILX92uGhcRqcYq/HfqoEGDOHjwIGvWrGHnzp3ccccd1mNLly6161xPPfUUgYGBbNq0iZMnT1q3Rx55xNonODiYkJAQ6/6xY8fo378/vXr1YseOHbz44os8/fTTeiRW7DIQSAE2Ap8UvqYUtouISMVVeAzHlClT6NixI2fOnKFTp04sXryYGTNm8Mknn9i9sFt5+kdFRZVo27x5M506dbLrs0QsBgL/BFYDjwLJQFvgBeALYDCwosqiExHxDBUuOHx8fDhz5gwA27Zto2fPnixfvpwWLVpojRVxeyZgJuZi40HA8l/sD4X7K4FZwCrAfYdtiYi4vwrfUjl16hTt2rWz7mdmZtKnTx/atGlD+/btK3p6EZcKA5oBsfy32LAwgNeB5sBLaFyHiEhFVPjvz2HDhnHq1Klibfn5+QwZMoTw8PCKnl7EpeoXvibbODYQWFb456loXIeISEVUuOC4dOkS+fn5No9t2bKloqcXcakzha9tr2kfiHn8xi7gTuDGwtfdhe0qOkRE7ONQwVG3bl3eeecdTp8+TUZGBqdOneL06dO8/fbb1vVPRKqD7cBRzANELUOWTUAc/x3X8QOQw3/HdazGPK5Dt1dERMrP7kGjv/3tb0lMTKRx48YsW7aMffv24eXlRZs2bRgxYgT33HMP3bp14/z58y4IV8S5CoC/Yn5KZSXwKhCIeVzHo9ge1/EqkAj0ADZVUpwiItWd3QXH1KlTycvL49Zbby0xdmPq1KnEx8czdepUnn32WacFKeJKKzA/+hqHuZCwsDWuo2h7sCuDEhHxMHZfFX7wwQeZOHFiiWIDzKu0PvfccwwcqDvcUr2sAFoAvYCXC9uuHdfBNe3pLo5JRMST2F1wBAcHl7lcfHJyconF1ESqgwLMt0j+TslxHRZewGTgCJBQqdGJiFRvdhccZ86coWnTpqUeb9asmc1VWkWqiwJgAnA/5nEdRZ9SWVnYPhFNBCYiYg+7C461a9cyY8YMfHx8Shzz9fXllVdeYe3atU4JTqSqWMZ1tMM8riO78LUtmupcRMQRdg8afemll0hKSuLQoUPMmzeP/fv3A+aVYZ966in8/PwYNmyY0wMVqWwrME9p3gPzANF0zLdRdGVDRMR+dhccqampdO3alXfffZdXX33VuuCaYRh8++23jB07ll9++cXpgYpUBcu4DhERqRiHFm+zLAkfGBhIy5YtAUhJSeHcuXNODU5EREQ8Q4VWiz1//jw//fSTs2IRERERD2X3oNG7776bPXv2EBAQUOJYnTp1SE5Opnv37k4JTkRERDyD3QXHM888w/vvv092dnaJYxcuXGDBggWaZVRERESKsbvg6NChQ5mPvcbHx9OpU6cKBSUiIiKexe6Co2HDhqUuRw9w5coVfve731UoKBEREfEsdhccqamptGvXrtTj7du3Jz1dq0yIOMIEhAORha92/w8qIuKm7P77bM2aNbz88sv4+fmVOFarVi3+/ve/s3r1aqcEJ1KTDARSgI3AJ4WvKYXtIiLVnd2PxU6fPp2IiAgOHjzIO++8w4EDBzAMgzZt2jBmzBhuuOEGZsyY4YpYRTzWQOALYDXwKJCMeRr1FwrbNZ26iFR3dhccp06dolu3brz33nslZhpdt24dTz31lM2l60XENhMQh7nYeBAwCtt/KNxfCczCPM26plUXkerKoYm/jh8/zp/+9CcCAwNp0aIFXl5eHDp0iPPnzzs5PBHP1wNohvnKhnHNMQN4FfPCcT3QNOsiUn1VeKbRpKQkZ8UiUiMFF74ml3I8+Zp+IiLVkQbBi1QxyzNdbUs53vaafiIi1ZFbFRw9evTgq6++IjU1FcMwGDBgQJn9w8PDMQyjxNaqVatKilik4hKAo5gHiHpdc8wLmAwcKewnIlJduVXB4e/vz86dOxk7dqxd7wsNDSUoKMi6HTp0yEURijhfATABuB/zANE7gRsLX1cWtk9EA0ZFpHqr0BgOZ1u7dm2Z06aX5tSpU2RlZbkgIpHKsQLzo69xmAeIWhxBj8SKiGeoUMHRvXt3Ro8eza233srgwYNJS0tj6NChHD16lO+//95ZMV7X9u3bqVWrFnv37mX69Ols3Lix1L6+vr7FJi2zrHprMpkwmWxf8LEcK+24J1GuVWcV8DXmp1GCgJOYb6MUUPFLke6WqyvVpFyhZuWrXN2PPfE5XHBERESwdOlSli1bRlhYmPWXeEBAAC+88AJ/+tOfHD11uaWnpzNq1Ci2bduGn58fw4YNY/369fTq1YuEBNt3vCdPnsy0adNKtLdv356cnByb7zGZTISGhgJQUODZF7aVa9XLKtwA2jvpnO6aqyvUpFyhZuWrXN2Pv79/ufs6XHBMmTKFmJgYli5dSmRkpLV9y5YtTJ061dHT2uXgwYMcPHjQur9161ZuueUWJk6cWGrB8eqrrzJ79mzrfkBAAKmpqezatYvs7Gyb77FUcDt27HDrL94ZlKtn8jaZ6AiE7thBekGB9cqJJ6pJ3yvUrHyVq/ux3CUoD4cLjlatWrF58+YS7RcuXCAwMNDR01bY1q1bGTp0aKnH8/LyyMvLK9FeUFBQ5pdqOe7OX7yzKFfPMhDz2JBmBQVQuB3FPFDVU8eG1ITvtaialK9ydS/2xObwzaH09HRatGhRor179+4cOXLE0dNWWFhYmFarFSlkWaNlNzAcqIP56Zfdhe1aGE5EKovDVzgWLFjAW2+9xciRIzEMg0aNGtG1a1dmzZrFyy+/7NA5/f39ixUxzZo1o0OHDmRmZnLixAliY2Np3Lgxw4cPB2DcuHEcO3aMPXv24Ovry9ChQxk8eDARERGOpiXiMYqu0RIBdABy0BotIlI1HC44Zs6cSd26ddmwYQO1atVi8+bNXL58mVmzZjFv3jyHztm5c+diT5jMmTMHgI8++oioqCiCg4MJCQmxHvf19WXWrFk0btyY3Nxc9uzZQ//+/fnmm28cTUvEY2iNFhFxJxV6LHbKlCnMmDGD2267DZPJxN69e0t90qM8Nm3aZF191paoqKhi+zNnzmTmzJkOf56IJ6vKNVpMmAuZYMxTsnvyIFURKZ8KT/yVm5vLtm3bnBGLiDhR0TVafrJx3FVrtFgHqRZp8/RBqiJyfXYVHHFxceXuO2HCBLuDERHnKbpGy7Wjmly1RotlkOpqzLdykjEXNi8UtmvWVJGay66CIywsrFz9DOPaO8YiUtksa7R8ASwv3FKA2zAXG/djLgCcdauj6CDVB/nvuJHyDFLVLRgRz2dXwdG7d29XxSEiLlB0jZYHgI8K212xRoujg1R1C0akZnDvSdpFpMJWAKHAE8AQoBfQEuf/MndkkGrReUKKrpKreUJEPI/DBcekSZNKPDUC5idJnnvuuQoFJSLOVQBsAz7DfHXBFbcrig5SteXaQarX3oL5geLzhKzGfAtG/yoS8QwO/788evRo9u/fX6J9z549xMTEVCgoEal+ig5SvfbhdluDVC23YGIp/RZM88J+IlL9OVxwBAUF2ZxC/PTp0wQHu+LJfhFxZ5ZBqvdjHiBa9BbJysL2ifz36kpVzhMiIpXP4YLjxIkT3HXXXSXa77rrLtLS0ioUlIhUT5ZBqu0wDxDNLnxtS8lBqvbeghGR6s3hib8++OAD3nzzTXx8fPjPf/4DwD333MMbb7xh13wdIuJZVmB+9PV6j7kWvQXzIMVvq7hqnhARqToOFxxvvPEG9erV491338XX1xeAS5cu8frrr/Paa685LUARqX4KuP76LEXnCVmJecyGZaIwV8wTIiJVq0JTm0+aNIlXXnmFNm3akJuby6FDh8jLy3NWbCLi4YrOE5JYpN0Z84RoMjER9+JwwbFo0SI+/PBDEhISSEpKcmZMIlKDlPcWjD3uxnzlRJOJibgPhweNBgQEEB8fz8GDB5k8eTKNGjVyZlwiUoNYbsF8SsXnCRkIvIEmExNxNw4XHIMHD6Zx48a88847PPTQQxw7dow1a9YwaNAgvL0rvAitiIjdTMBMzFdIItBkYiLupEL/32VmZjJ37lw6duzIHXfcQUpKCkuXLiUtLY3Zs2fTokULZ8UpInJdlsnEPkSTiYm4G6cU+kFBQfTt25e+ffty9epV1qxZw+9//3v27t3LM88844yPEBG5LsskYYdLOa7JxESqjsMFh7e3NxEREXz99df8/PPPPPTQQ8yZM4fg4GBGjBhBv379GDZsGFOnTnVmvCIipbJMEnZrKcc1mZhI1XF4sEV6ejomk4lPPvmEO+64g507d5bos27dOs6fP1+R+EREys0ymdhIYNk1xzSZmEjVcrjgGD9+PJ9//jmXL18utc/58+dp3ry5ox8hImKXAuCvwD+B5WgyMRF34vAtlZtvvpkhQ4aUaNfy9CJSlVYAz1G+9VxEpPJoeXoR8TgbgFCgF/Bo4WtLVGyIVCWHb6loeXoRcWflWc9FRCqPlqcXERERl9Py9CIiIuJyWp5eREREXK5CM41OmjSJ3/3ud9x555106NCBevXq8corrzh8vh49evDVV1+RmpqKYRgMGDDguu/p2bMnSUlJ5ObmcvjwYUaPHu3w54uI5zAB4UBk4avWTxGpWhX+fzAnJ4ekpCT27NlDXl5ehc7l7+/Pzp07GTt2bLn6N23alDVr1pCQkEBYWBixsbHMnTuXiIiICsUhItXb3cBBYCPwSeFrClopVqQqVWhZ1+7duzN69GiaN2/OQw89RFpaGkOHDuXo0aN8//33dp9v7dq1rF27ttz9Y2JiOH78OOPHjwdg//79dO7cmYkTJ7J8+XK7P19Eqj/L8vSrMT8Sa5n46wXMy9NrLg6RquFwwREREcHSpUtZtmwZHTt2xM/PD4CAgABeeOEF/vSnPzktyNJ07dqV+Pj4Ym3r1q0jOjoab29vrly5UuI9vr6+1lgt8QKYTCZMJtsXfCzHSjvuSZSrZ6opuZqAmSYTCSYTg00mrha2/4R5ufrlmJen/xrPmW20pny3oFzdkT3xOVxwTJkyhZiYGJYuXUpkZKS1fcuWLZW2YFtQUBAZGRnF2jIyMvDx8aF+/fqcPHmyxHsmT57MtGnTSrS3b9+enJwcm59jMpkIDQ0FoKDAU/6ask25eqaakmsnoJnJxEehoXSgZK7LgQeAKGBb5YfnEjXluwXl6o78/f3L3dfhgqNVq1Zs3ry5RPuFCxcIDAx09LR2Mwyj2L6Xl5fNdotXX32V2bNnW/cDAgJITU1l165dZGdn23yPpYLbsWOHW3/xzqBcPVNNybUVgMnEBmznmgJ8BFwEdlRybK5SU75bUK7uyHKXoDwqtFpsixYt+Pnnn4u1d+/enSNHjjh6WrucPHmSoKCgYm0NGjQgPz+fs2fP2nxPXl6ezcGtBQUFZX6pluPu/MU7i3L1TDUhV8uUg80KCvjeRq63FennST+FmvDdWihX92JPbA7fHFqwYAFvvfUWd9xxB4Zh0KhRI4YMGcKsWbN49913HT2tXRITE+nTp0+xtr59+5KUlGRz/IaIeLaiy9N7XXOsui1Pr8d6xdM4fIVj5syZ1K1blw0bNlCrVi02b97M5cuXmTVrFvPmzXPonP7+/rRo0cK636xZMzp06EBmZiYnTpwgNjaWxo0bM3z4cADmz5/P2LFjiYuL4/3336dr165ER0fz6KOPOpqWiFRjnrI8/UAgDmhWpO0oMAE9YSPVm1HerV27doaXl1extt/85jdGp06djC5duhj+/v7lPpetLTw83LBl0aJFBmAsWrTI2LBhQ7H39OzZ09i2bZtx6dIl48iRI8bo0aPt+syAgADDMAwjICCg1D4mk8no2LGjYTKZKpRfddiUq2duNS3XCR07GkdMJsMA63YYjIFuEN/1toFgXAVjFRh/AMO/8HVVYfu1OdS071a5utdWnt+hls2uKxzbt28nODiY06dPc/jwYbp06UJmZibbtjlnvPemTZusgz5tiYqKKtG2efNmOnXq5JTPFxHPsAF4C7gLCAbSMd9GcfcrGybMVzZWAw9i/lsa4IfC/ZWYH+tdhfvnInItuwqO8+fP06xZM06fPk3Tpk3d/vlgEam5quPy9D0w30Z5lP8WGxYG5ltEiYX9qltuInYVHF9++SWbNm0iPT0dwzBISkri6tWrNvveeuutTglQRKSmCC58TS7lePI1/USqE7sKjtGjR7N8+XJatGjB3Llzef/990udu0JEROyTXvjaFvNtlGu1vaafSHVi91Mq69atY926dXTq1Im33nqLixcvuiIuEZEax/JY7wsUH8MB1e+xXpFrOTwIY+TIkSo2REScqADzo6/3Yx4geidwY+HrysL2iWjAqFRPdl3hiIuL48UXX+TXX38lLi6uzL4TJkyoUGAiIjXRCsxzhcRhHiBqcQStdCvVm10FR1hYGD4+PtY/l6a0dUxEROT6VmB+9LUH1euxXpGy2FVw9O7d2+afi7r55pv5+9//XrGoRERquOr4WK9IWZw+kUa9evWsU4+LiIiIgNYDEhERkUrg8OJtIiJSuUyUHNchUl2o4BARqQZKW0H2r4WvjrBVwGhgqriK3QXHl19+WebxwMBAR2MREREbBgJfYF7U7VHMU5y3xTxB2D+B54AdDpzTVgEzAT16K65hd8GRlZV13eNLlixxOCAREfmv8qwg+wzm1XHLe3WirALmCzTfh7iG3QXHyJEjXRGHiIjYcL0VZF8Hvi/st6Ec5ytPATML8zwgur0izqSnVERE3Fh5V5ANKuf5LAVMLLYLmFeB5oX9RJxJBYeIiBsruoKsLZb2k+U8X3kLmOBSjos4SgWHiIgbK7qCrNc1x7yA54FfKP8jsuUtYNJLOS7iKBUcIiJurDwryL5J+cdbXK+AmYx5oTjN8SHOpoJDRMTNWVaQbYd5Bdnswte2wMOUb7CoRXkKmIlowKg4nyb+EhGpBkpbQRbgdgfONRjz0yqJRdqPoEdixXVUcIiIVBO2VpB19DJ1aQWMrmyIq6jgEBGpoWwVMCKuojEcIiIi4nIqOERERMTldEtFRESK0Sqy4gpud4XjySef5MiRI+Tm5pKUlET37t1L7RseHo5hGCW2Vq1aVWLEIiKeYyCQAmwEPil8TSlsF6kItyo4Hn74Yd58801mzJhBWFgYCQkJfPPNN9xyyy1lvi80NJSgoCDrdujQoUqKWETEc1hWkd1N8fk5dhe2q+iQinCrguPZZ59l4cKFLFy4kP379zN+/HhOnDjBk08+Web7Tp06RUZGhnUrKNDFPxERe1y7iuwPQA7/XUV2NeZVZN3ql4ZUK24zhsPHx4dOnTrx2muvFWuPj4+nW7duZb53+/bt1KpVi7179zJ9+nQ2btxYal9fX1/8/Pys+wEBAQCYTCZMJtv/K1mOlXbckyhXz6RcPZez8g3HvIrsY5inOL922vPXge8L+1XVo7Q16bt1Vq6W8TiNgN8Bp3DuuBx74nObgqN+/fp4e3uTkZFRrD0jI4OgINsLL6enpzNq1Ci2bduGn58fw4YNY/369fTq1YuEBNsrAUyePJlp06aVaG/fvj05OTk232MymQgNDQXw+KsnytUzKVfP5ax877ScD9szl5qK9Mty+FMqpiZ9t87I9W5gPNC4SFs+4AOkAnOwb1p8W/z9/cvd120KDgvDMIrte3l5lWizOHjwIAcPHrTub926lVtuuYWJEyeWWnC8+uqrzJ4927ofEBBAamoqu3btIjs72+Z7LBXcjh07asR/5KBcPY1y9VzOyrdu4WsBsMPGcUtBsrWU45WhJn23Fc11IPAG5lthDwHJmNfemYR5vZy0wuMPU7Gp7C13CcrDbQqOM2fOcOXKlRJXMxo0aFDiqkdZtm7dytChQ0s9npeXR15eXon2goKCMr9Uy3FP/48clKunUq6eyxn5bsK8iuwkzGM2iv4zzwt4HvNaK5uo2kdka9J362iuJmAm/x2PY/kuEwv3V2IuPlZjLjpW4Ph3ak9sbnMjLD8/n23bttGnT59i7X369GHLli3lPk9YWBjp6enODk9ExKNpFVnP0QPzeJxYiheOFO6/CjQH1ha+9qikuNzmCgfA7NmzWbp0KUlJSSQmJvLEE08QEhLC/PnzAYiNjaVx48YMHz4cgHHjxnHs2DH27NmDr68vQ4cOZfDgwURERFRlGiIi1ZJWkfUMwYWvyaUct7TnXtPf1dyq4PjnP//JTTfdxNSpUwkODiY5OZn+/ftz/PhxAIKDgwkJCbH29/X1ZdasWTRu3Jjc3Fz27NlD//79+eabb6oqBRGRak2ryFZ/lmv8bTE/1nyttoWvv7mmv6u5VcEB8N577/Hee+/ZPBYVFVVsf+bMmcycObMywhIRqTG0imz1loB5PM4L2B6PMxnzVat7C19tP2LhfG4zhkNEREQqrjzjcc5S+eNy3O4Kh4iIiFRMaeNx8jFfabiJyh+Xo4JDRETEAxUdj9OY/840mkbVjMtRwSEiIuKh3Gk8jsZwiIiIiMup4BARERGXU8EhIiIiLqeCQ0RERFxOBYeIiIi4nAoOERERcTk9FlsoICCg1GMmkwl/f38CAgI8fklk5eqZlKvnqkn5Klf3U9bvzmvV+ILD8sNKTU2t4khERESqp4CAALKzs8vs40XxdV1qpEaNGpX5gwoICCA1NZXGjRtf9wda3SlXz6RcPVdNyle5uqeAgADS0tKu26/GX+EAyvWDAsjOznb7L95ZlKtnUq6eqyblq1zdS3nj06BRERERcTkVHCIiIuJyKjjK4fLly0ybNo3Lly9XdSgup1w9k3L1XDUpX+VavWnQqIiIiLicrnCIiIiIy6ngEBEREZdTwSEiIiIup4JDREREXE4FR6Enn3ySI0eOkJubS1JSEt27dy+1b3h4OIZhlNhatWpViRE7zp5cAXx9fZk+fTrHjh3j0qVLpKSkEBUVVUnRVow9uS5atMjm95qcnFyJETvO3u91yJAh7Nixg5ycHNLS0vjwww+pV69eJUVbMfbm+tRTT7F3715+/fVX9u/fz7Bhwyop0orp0aMHX331FampqRiGwYABA677np49e5KUlERubi6HDx9m9OjRlRBpxdmba1BQEMuWLWP//v1cvXqVOXPmVFKkFWdvrgMHDiQ+Pp5Tp06RlZXFli1b6Nu3byVF61xGTd8efvhh4/Lly0Z0dLTRunVrY86cOUZ2drZxyy232OwfHh5uGIZhtGzZ0mjYsKF1M5lMVZ6Ls3MFjJUrVxqJiYnGPffcYzRp0sTo0qWL0bVr1yrPxdm51qlTp9j32bhxY+PMmTPGSy+9VOW5ODvXu+66y7hy5YrxP//zP0bTpk2Nu+66y9i9e7exfPnyKs/F2bnGxMQYWVlZxsMPP2w0a9bMeOSRR4wLFy4Y999/f5Xncr3t3nvvNV555RVj4MCBhmEYxoABA8rs37RpU+PixYvGnDlzjNatWxvR0dHG5cuXjYiIiCrPxdm5NmnSxHjzzTeNYcOGGf/3f/9nzJkzp8pzcFWuc+bMMf76178anTt3Nlq0aGHMmDHDuHz5snH77bdXeS52blUeQJVvW7duNd59991ibXv37jViY2Nt9rcUHHXr1q3y2F2da79+/Yxz584Zv/3tb6s8dlfneu02YMAA4+rVq0ZISEiV5+LsXCdMmGCkpKQUaxs7dqxx/PjxKs/F2bl+//33xhtvvFGsbc6cOUZCQkKV52LPVp5fTK+99pqxd+/eYm3vvfeesWXLliqP39m5Ft02bNhQrQqOiuRq2ZKTk40XX3yxyuO3Z6vxt1R8fHzo1KkT8fHxxdrj4+Pp1q1bme/dvn07aWlp/Pvf/6ZXr14ujNI5HMn1gQceICkpieeee45ffvmFAwcOMHPmTGrVqlUZITusIt+rRXR0NP/+9785fvy4K0J0Gkdy3bJlCzfffDP33XcfAA0aNGDw4MH861//cnm8FeFIrn5+fly6dKlYW25uLnfccQfe3p61nFTXrl1L/GzWrVtH586dPS7XmszLy4uAgAAyMzOrOhS71PiCo379+nh7e5ORkVGsPSMjg6CgIJvvSU9PZ9SoUQwaNIiIiAgOHDjA+vXr6dGjR2WE7DBHcm3evDndu3enbdu2DBw4kGeeeYbBgwczb968ygjZYY7kWlRQUBD33XcfH3zwgatCdBpHck1MTOSxxx7js88+Iy8vj4yMDM6fP8///M//VEbIDnMk13Xr1vH444/TsWNHADp16sTIkSPx9fWlfv36Lo+5MgUFBdn82fj4+HhcrjXZhAkT8Pf355///GdVh2IXlbyFDMMotu/l5VWizeLgwYMcPHjQur9161ZuueUWJk6cSEJCgkvjdAZ7cjWZTBiGwWOPPcaFCxcAePbZZ/niiy8YM2ZMiX85uht7ci1qxIgRnD9/npUrV7ooMuezJ9c2bdowd+5cXn75ZdatW0dwcDAzZ85k/vz5PP7445URboXYk+srr7xCUFAQW7duxcvLi4yMDD766COef/55rl69WhnhVipbPxtb7VI9RUZGMm3aNAYMGMDp06erOhy71PgrHGfOnOHKlSsl/nXUoEGDEv9SKMvWrVtp2bKls8NzKkdyTU9PJzU11VpsAOzbtw+TycTNN9/s0ngroqLf68iRI1m6dCn5+fmuCtFpHMl18uTJfP/998yaNYvdu3cTHx/PU089RXR0dLmuAFUVR3K9dOkS0dHR1K5dm6ZNmxISEsKxY8e4cOECZ86cqYywK83Jkydt/mzy8/M5e/ZsFUUlzvLwww+zcOFCHn74YdavX1/V4ditxhcc+fn5bNu2jT59+hRr79OnD1u2bCn3ecLCwkhPT3d2eE7lSK7ff/89jRo1wt/f39oWGhrK1atX+eWXX1wab0VU5HsNDw+nZcuWLFy40JUhOo0judauXZuCgoJibZZ/7Vv+ReyOKvK9XrlyhdTUVAoKCoiMjGT16tUe96/+xMTEEj+bvn37kpSUxJUrV6ooKnGGyMhIPvroI4YMGcKaNWuqOhyHVfnI1areLI/ZRUVFGa1btzZmz55tZGdnW59OiI2NNRYvXmztP27cOGPAgAFGixYtjNtuu82IjY01DMMwBg4cWOW5ODtXf39/4/jx48Y///lPo02bNkaPHj2MAwcOGP/7v/9b5bk4O1fLtmTJEiMxMbHK43dlrsOHDzfy8vKMmJgYo1mzZka3bt2MH3/80di6dWuV5+LsXFu2bGk89thjRosWLYwuXboYn3zyiXHmzBmjSZMmVZ7L9TZ/f3+jQ4cORocOHQzDMIxnnnnG6NChg/UR4GtztTwWGxcXZ7Ru3dqIioqqNo/F2psrYO3/008/GR9//LHRoUMHo02bNlWei7NzjYyMNPLy8ownn3yy2KP7derUqfJc7NyqPAC32J588knj6NGjxqVLl4ykpCSjR48e1mOLFi0yNmzYYN3/61//ahw6dMj49ddfjbNnzxqbN2827rvvvirPwRW5AkarVq2M+Ph4Iycnxzh+/Lgxa9Yso1atWlWehytyrVOnjpGTk2M8/vjjVR67q3MdO3askZycbOTk5BipqanG0qVLjUaNGlV5Hs7OtXXr1sb//d//GTk5Ocb58+eNFStWGKGhoVWeQ3k2yyP411q0aFGp32vPnj2Nbdu2GZcuXTKOHDlijB49usrzcFWuthw9erTKc3F2rhs2bCizf3XZtDy9iIiIuFyNH8MhIiIirqeCQ0RERFxOBYeIiIi4nAoOERERcTkVHCIiIuJyKjhERETE5VRwiIiIiMup4BARERGXU8EhIk5z9OhRxo0bV9VhlMvw4cMxDAPDMJgzZ06Fz9ekSRNeeuklm8eOHj1q/ay6detW+LNEqiMVHCIeyPLLrbRt0aJF133/gAEDXBJbQEAA06dPZ9++feTm5pKens63337LwIEDnXL+8PDwcv9iz8rKIigoiBdffNHatmHDBgzD4Pnnny/R/1//+heGYZRaWJSmS5cuRERE2PUeEU/jXdUBiIjzFV2i/JFHHuHll1+mVatW1rbc3NyqCIu6devy3XffUbduXaZMmcJPP/3ElStXCA8P54033uA///kPWVlZlRaPYRg2l7U/fvw4UVFRvP7669a24OBgevfuTVpaWrG+TZs2Zfbs2XTt2pU6deoQGRnJxo0befLJJ619zpw5Q2ZmpusSEakGdIVDxANlZGRYt6ysLOsvVss2ZMgQUlJSuHz5Mvv372fo0KHW9x49ehSAlStXYhiGdb958+asXLmSkydPkp2dzY8//sg999xjV1yxsbE0bdqUP/zhDyxZsoR9+/Zx6NAhPvjgA26//XYuXrwIQGBgIIsXLyYzM5OcnBzWrFlDixYtrOcJCQnhq6++IjMzk4sXL5KcnMx9991HkyZN2LhxIwDnz58v19UcW1avXs1NN91Et27drG0jRowgPj6eU6dOFeu7ZMkSGjZsyJNPPslHH33EuHHjOHv2rN2fKeLpVHCI1DAPPvggb731FnFxcbRt25YFCxawaNEievXqBZgv/4P5F2xQUJB1/8Ybb2TNmjX88Y9/JCwsjHXr1vH1119zyy23lOtzvby8iIyMZNmyZaSnp5c4npOTw9WrVwH46KOP6Ny5Mw888ABdu3bFy8uLNWvW4O1tvig7b948/Pz86NmzJ+3ateP555/n4sWLnDhxwnrrIjQ0lKCgIIfGlOTl5bFs2TKioqKsbSNGjODDDz8s0TcsLIx58+axfft2Tp06RXx8PFOmTLH7M0VqgipfslabNm2u24YPH26cO3fOuv/dd98ZCxYsKNbns88+M1avXm3dNwzDGDBgwHXPnZycbIwZM8a6f/ToUWPcuHE2+/7ud78zDMMwnnnmmTLP2aJFC8MwDKNr167Wtnr16hk5OTnG4MGDDcDYuXOnMXXqVJvvtyz9XbduXbt+LpZtw4YNxpw5c4x27doZWVlZRu3atY0ePXoYJ0+eNLy9vY3t27cbL730krX/2rVrjR9//NEYOnRosXZH49KmzVM3XeEQqWHatGnD999/X6zt+++/p02bNmW+r3bt2rz++uvs2bOHc+fOkZ2dTevWrQkJCSnX53p5eQFgGMZ148vPz+eHH36wtmVmZnLgwAFrjHPnzmXKlCl89913TJs2jXbt2pUrBnvs3r2bQ4cOMXjwYEaOHMnSpUu5cuVKiX6PPfYYW7duJTY2lr/97W9s2bKFQYMGOT0ekepOBYdIDXTtL30vL6/rFgIzZ85k0KBB/O1vf6NHjx7cfvvt7N69G19f33J95unTp8nMzLxuYWMpTGy1W2JcuHAhzZs3Z+nSpbRr146kpCTGjh1brjjs8eGHHzJmzBgGDx5s83YKwNmzZ3n66afp0aMHCxcuZNWqVXz22Wf06dPH6fGIVGcqOERqmH379tG9e/dibd26dWPfvn3W/by8PG644YZifXr06MFHH33EypUrSU5O5uTJkzRt2rTcn2sYBp999hmPPfYYwcHBJY7Xrl2bG264gb179+Lj48Mf/vAH67F69eoRGhpaLMZffvmFBQsWMGjQIOLi4hg1apQ1dqBE/I74xz/+Qbt27UhOTi722aU5efIkr7/+Ojt27KBHjx4V/nwRT6KCQ6SGmTlzJiNGjGD06NG0aNGC8ePHExERwaxZs6x9jh07xj333EPDhg0JDAwEICUlhYiICDp06ED79u35xz/+gclk318hL7zwAidOnOCHH35g2LBhtGnThhYtWhAVFcWOHTu48cYbSUlJYeXKlbz//vvcddddtG/fno8//pjU1FRWrVoFwJw5c+jbty9NmzYlLCyM3r17WwuCn3/+mYKCAu6//37q16+Pv7+/wz+r8+fPExwcXObTOB988AFdunTB398fPz8/Bg4cyO9//3u2bdvm8OeKeKoqH0iiTZs21222BkfGxMQYKSkpxuXLl439+/cbQ4cOLXb8/vvvNw4ePGjk5eUZR48eNQCjSZMmxvr1642cnBzj559/Np566inrAEvL+8oaNGrZ6tSpY8TGxhoHDhwwLl26ZKSnpxvx8fHFBqkGBgYaixcvNs6dO2fk5OQY33zzjdGiRQvr8blz5xqHDh0ycnNzjYyMDGPx4sVGvXr1rMenTJlipKWlGVevXjUWLVpU7p8LUCKna7drB43GxsYau3fvNi5evGjk5+cbhw8fNiZOnFjifRo0qk1b1QegTZs2bZW+lVZwOLo1adJET6lo01bGplsqIlJjBQYGkp2dzWuvvebSz0lOTuabb75x6WeIuDsvzJWHiEiNcuONN9KwYUPAPFbDlbODhoSE4OPjA8CRI0eu+0SQiCdSwSEiIiIup1sqIiIi4nIqOERERMTlVHCIiIiIy6ngEBEREZdTwSEiIiIup4JDREREXE4Fh4iIiLicCg4RERFxuf8HhsRnMm1HJVsAAAAASUVORK5CYII=", "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": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.81401452, 0.41946283, 0.30094145],\n", " [2.57475748, 0.04144996, 0.65208901],\n", " [1.03900939, 0.41959028, 0.24995194],\n", " [0.88775931, 0.45133809, 0.26573897],\n", " [2.61198667, 0.04144996, 0.55710663],\n", " [2.11218424, 0.09849739, 0.56117257],\n", " [1.30377163, 0.39488571, 0.25098929],\n", " [1.14168868, 0.42652716, 0.25387131],\n", " [1.42508911, 0.41533998, 0.24747279],\n", " [1.13773886, 0.42652716, 0.24995194],\n", " [1.88970608, 0.50711056, 0.25422291],\n", " [1.77838968, 0.37767 , 0.2562746 ],\n", " [1.49752492, 0.40126517, 0.29974379],\n", " [1.32367483, 0.39488571, 0.25098929],\n", " [1.67078421, 0.47594797, 0.34616406],\n", " [1.5663502 , 0.42795912, 0.44770924],\n", " [2.03385808, 0.29352286, 0.26963251],\n", " [2.11218424, 0.30329813, 0.26637353],\n", " [1.56593795, 0.50884959, 0.25559555],\n", " [0.82023035, 0.42580387, 0.29455337]])" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(res.X)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/6h/g412p7x53jbcqr_x5sy9z8th0000gn/T/ipykernel_47139/1527621391.py:5: MatplotlibDeprecationWarning: The 'labels' parameter of boxplot() has been renamed 'tick_labels' since Matplotlib 3.9; support for the old name will be dropped in 3.11.\n", " bplot = ax.boxplot(res.X,\n" ] }, { "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", " tick_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": 23, "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.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." ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 2 }