template/figures/risk_types.ipynb
2024-02-23 16:41:43 +01:00

167 lines
79 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "65cbe2ec-de72-44d4-8af9-a969b06134a9",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import rcParams\n",
"rcParams.update({'font.size': 16})\n",
"# TUDelft colors palette\n",
"colors = [\"#0C2340\",\"#00B8C8\",\"#0076C2\",\"#6F1D77\",\"#EF60A3\",\"#A50034\",\"#E03C31\",\"#EC6842\",\"#FFB81C\",\"#6CC24A\",\"#009B77\"]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "fc2eb45c-9f4e-4fbd-91c3-dc0ff10b4c46",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# -----------------------------------------------------------------\n",
"plot_title = \"\"\n",
"font = \"Arial\"\n",
"x_label = \"Fatalities, N [$-$]\"\n",
"y_label = \"Probability of Exceedance, $1-F_N(n)$ [$-$]\"\n",
"legend = True\n",
"grid = True\n",
"save_svg = True\n",
"remove_ticks = False\n",
"remove_ticks_labels = False\n",
"file_name = \"../book/figures/risk_types\"\n",
"# -----------------------------------------------------------------\n",
"\n",
"fig = plt.figure(figsize=(8,6))\n",
"ax = fig.add_subplot() # axes_class=AxesZero)\n",
"ax.set_title(plot_title, fontfamily=font)\n",
"ax.set_xlabel(x_label, fontfamily=font)\n",
"ax.set_ylabel(y_label, fontfamily=font)\n",
"\n",
"plt.setp(ax.spines.values(), linewidth=2)\n",
"# ax.spines[\"left\"].set_position((\"data\", 0))\n",
"# ax.spines[\"bottom\"].set_position((\"data\", 0))\n",
"# ax.spines[\"top\"].set_position((\"data\", 1))\n",
"# ax.spines[\"right\"].set_position((\"data\", 100))\n",
"\n",
"# not a permanent solution (removed the part below 0)\n",
"# ---> find a better way to auto set upper bound\n",
"# ax.spines.bottom.set_bounds(0, 100)\n",
"# ax.spines.left.set_bounds(0, 1.0)\n",
"# ax.spines.top.set_bounds(0, 100)\n",
"# ax.spines.right.set_bounds(0, 1.0)\n",
"\n",
"# Given Parameters\n",
"\n",
"N_fatalities = np.linspace(1,1000,1000) # fatalities\n",
"\n",
"P_df = 0.1; beta = 0.1\n",
"\n",
"alpha = 2\n",
"k = 3\n",
"N_A = 100\n",
"\n",
"r= 0.025\n",
"I = 5*10**6\n",
"B = 0.33\n",
"\n",
"# Individual Risk\n",
"\n",
"Pf_ind_risk = (beta*(10**-4))/P_df # per year\n",
"\n",
"# print('Acceptable Failure Probability: ', Pf_ind_risk)\n",
"\n",
"# Societal Risk\n",
"\n",
"C = ((beta*100)/(k*np.sqrt(N_A)))**2 # binomial distribution\n",
"\n",
"Pf_SR = (C/(N_fatalities**alpha))\n",
"\n",
"# Economic Risk\n",
"\n",
"D_damage = (5*10**7)*N_fatalities\n",
"\n",
"Pf_ER = (I*B*r)/(D_damage)\n",
"\n",
"# Visualize\n",
"\n",
"# plotting\n",
"ax.plot(N_fatalities, Pf_SR, label='Societal Risk', color=colors[0], linewidth=4)\n",
"ax.plot(N_fatalities,Pf_ER, label='Economic Risk', color=colors[1], linewidth=4)\n",
"ax.axhline(Pf_ind_risk, label='Individual Risk', color=colors[2], linewidth=4)\n",
"\n",
"# ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n",
"# ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n",
"\n",
"ax.set_xscale('log')\n",
"ax.set_yscale('log')\n",
"\n",
"ax.set_ylim(10**(-7),.1)\n",
"# ax.set_yticks([10**(-7),10**(-5),10**(-3),10**(-1)])\n",
"\n",
"ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n",
"ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n",
"\n",
"if grid: ax.grid()\n",
"if legend: ax.legend(prop={\"family\":font})\n",
"if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n",
"if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n",
"if save_svg: plt.savefig(file_name + '.svg')"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "59293d62",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.7"
},
"widgets": {
"application/vnd.jupyter.widget-state+json": {
"state": {},
"version_major": 2,
"version_minor": 0
}
}
},
"nbformat": 4,
"nbformat_minor": 5
}