exercicio1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def pol(z):\n",
    "    return np.array([np.abs(z),(180/np.pi)*np.angle(z)])\n",
    "\n",
    "def rec(z):\n",
    "    return np.array([np.real(z),np.imag(z)])\n",
    "\n",
    "def l_t(v,f,l_,r,l,c,g,p_c,fp,tipo=1):\n",
    "    \n",
    "    if tipo == 1:\n",
    "        ang = np.arccos(fp)\n",
    "    else: \n",
    "        ang = -np.arccos(fp)\n",
    "        \n",
    "    w = 2*np.pi*f\n",
    "\n",
    "    z = r + 1j*w*l\n",
    "    Z = z*l_\n",
    "    y = g + 1j*w*c\n",
    "    Y = y*l_\n",
    "\n",
    "    prop = np.sqrt(z*y)\n",
    "    aten = np.real(prop)\n",
    "    fase = np.imag(prop)\n",
    "\n",
    "    len_wave = (2*np.pi)/fase\n",
    "    vel_wave = len_wave*f\n",
    "\n",
    "    v_r = V/np.sqrt(3)\n",
    "    i_r = (p_c/(V*fp*np.sqrt(3)))*np.exp(-1j*np.arccos(fp))\n",
    "\n",
    "    v_s = 0.5*((v_r + i_r*Z_c)*np.exp(l_*prop) + (v_r - i_r*Z_c)*np.exp(-l_*prop))\n",
    "    i_s = 0.5*((v_r/Z_c + i_r)*np.exp(l_*prop) - (v_r/Z_c - i_r)*np.exp(-l_*prop))\n",
    "    \n",
    "    fasores = pd.DataFrame(np.round(np.array([pol(Z),pol(Y),pol(Z_c),\n",
    "                                         pol(1e3*prop),pol(v_r),\n",
    "                                         pol(i_r),pol(v_s),pol(i_s)]),5),\n",
    "                       columns = ['modulo','angulo'],\n",
    "                       index = ['Z LT','Y LT','IMP.CARAC.','Propagação',\n",
    "                               'V_R','I_R','V_S','I_S'])\n",
    "\n",
    "    cartes = pd.DataFrame(np.round(np.array([rec(Z),rec(Y),rec(Z_c),\n",
    "                                             rec(1e3*prop),rec(v_r),\n",
    "                                             rec(i_r),rec(v_s),rec(i_s)]),5),\n",
    "                          columns = ['real','imaginario'],\n",
    "                          index = ['Z LT','Y LT','IMP.CARAC.','Propagação',\n",
    "                                   'V_R','I_R','V_S','I_S'])\n",
    "\n",
    "    wave = pd.DataFrame(np.round(np.array([len_wave,vel_wave]),5),\n",
    "                        columns = ['Valor'],\n",
    "                        index = ['Comprimento de onda',\n",
    "                                'Velocidade de onda'])\n",
    "    \n",
    "    return display(fasores,cartes,wave)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "V = 500e3\n",
    "f = 60\n",
    "l_ = 294.84\n",
    "r = 0.025 \n",
    "l = 0.854e-3\n",
    "c = 13.65e-9\n",
    "g = 0.0375e-6\n",
    "p_c = 550e6\n",
    "fp = 0.85"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "w = 2*np.pi*f\n",
    "\n",
    "z = r + 1j*w*l\n",
    "Z = z*l_\n",
    "y = 0 + 1j*w*c\n",
    "Y = y*l_\n",
    "Z_c = np.sqrt(Z/Y)\n",
    "\n",
    "prop = np.sqrt(z*y)\n",
    "aten = np.real(prop)\n",
    "fase = np.imag(prop)\n",
    "\n",
    "len_wave = (2*np.pi)/fase\n",
    "vel_wave = len_wave*f\n",
    "\n",
    "v_r = V/np.sqrt(3)\n",
    "i_r = (p_c/(V*fp*np.sqrt(3)))*np.exp(-1j*np.arccos(fp))\n",
    "\n",
    "v_s = 0.5*((v_r + i_r*Z_c)*np.exp(l_*prop) + (v_r - i_r*Z_c)*np.exp(-l_*prop))\n",
    "i_s = 0.5*((v_r/Z_c + i_r)*np.exp(l_*prop) - (v_r/Z_c - i_r)*np.exp(-l_*prop))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "xl=0.321950415139882,bc=5.145928766580081e-06,z=(7.3709999999999996+94.9238603998428j),y=(1.1056499999999998e-05+0.0015172256375384709j),zc=(250.34671831554053-8.79190963477514j)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>modulo</th>\n",
       "      <th>angulo</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Z LT</th>\n",
       "      <td>95.20962</td>\n",
       "      <td>85.55979</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Y LT</th>\n",
       "      <td>0.00152</td>\n",
       "      <td>89.58248</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IMP.CARAC.</th>\n",
       "      <td>250.50105</td>\n",
       "      <td>-2.01134</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Propagação</th>\n",
       "      <td>1.28909</td>\n",
       "      <td>87.57114</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>V_R</th>\n",
       "      <td>288675.13459</td>\n",
       "      <td>0.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>I_R</th>\n",
       "      <td>747.15917</td>\n",
       "      <td>-31.78833</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>V_S</th>\n",
       "      <td>314433.89817</td>\n",
       "      <td>10.59710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>I_S</th>\n",
       "      <td>598.13067</td>\n",
       "      <td>6.31120</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  modulo    angulo\n",
       "Z LT            95.20962  85.55979\n",
       "Y LT             0.00152  89.58248\n",
       "IMP.CARAC.     250.50105  -2.01134\n",
       "Propagação       1.28909  87.57114\n",
       "V_R         288675.13459   0.00000\n",
       "I_R            747.15917 -31.78833\n",
       "V_S         314433.89817  10.59710\n",
       "I_S            598.13067   6.31120"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>real</th>\n",
       "      <th>imaginario</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Z LT</th>\n",
       "      <td>7.37100</td>\n",
       "      <td>94.92386</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Y LT</th>\n",
       "      <td>0.00001</td>\n",
       "      <td>0.00152</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IMP.CARAC.</th>\n",
       "      <td>250.34672</td>\n",
       "      <td>-8.79191</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Propagação</th>\n",
       "      <td>0.05463</td>\n",
       "      <td>1.28794</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>V_R</th>\n",
       "      <td>288675.13459</td>\n",
       "      <td>0.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>I_R</th>\n",
       "      <td>635.08530</td>\n",
       "      <td>-393.59052</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>V_S</th>\n",
       "      <td>309071.12314</td>\n",
       "      <td>57824.88355</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>I_S</th>\n",
       "      <td>594.50569</td>\n",
       "      <td>65.75165</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    real   imaginario\n",
       "Z LT             7.37100     94.92386\n",
       "Y LT             0.00001      0.00152\n",
       "IMP.CARAC.     250.34672     -8.79191\n",
       "Propagação       0.05463      1.28794\n",
       "V_R         288675.13459      0.00000\n",
       "I_R            635.08530   -393.59052\n",
       "V_S         309071.12314  57824.88355\n",
       "I_S            594.50569     65.75165"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Valor</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Comprimento de onda</th>\n",
       "      <td>4878.48929</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Velocidade de onda</th>\n",
       "      <td>292709.35712</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                            Valor\n",
       "Comprimento de onda    4878.48929\n",
       "Velocidade de onda   292709.35712"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "l_t(V,f,l_,r,l,c,g,p_c,fp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "xl=0.3179920083963588,bc=5.13084912184285e-06,z=(9.3+95.39760251890765j),y=(3.7499999999999997e-06+0.001539254736552855j),zc=(249.25985227925239-11.816704681122141j)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>modulo</th>\n",
       "      <th>angulo</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Z LT</th>\n",
       "      <td>95.84984</td>\n",
       "      <td>84.43202</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Y LT</th>\n",
       "      <td>0.00154</td>\n",
       "      <td>89.86041</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IMP.CARAC.</th>\n",
       "      <td>249.53979</td>\n",
       "      <td>-2.71420</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Propagação</th>\n",
       "      <td>1.28035</td>\n",
       "      <td>87.14622</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>V_R</th>\n",
       "      <td>288675.13459</td>\n",
       "      <td>0.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>I_R</th>\n",
       "      <td>312.44838</td>\n",
       "      <td>-31.78833</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>V_S</th>\n",
       "      <td>286536.15739</td>\n",
       "      <td>5.07302</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>I_S</th>\n",
       "      <td>375.79774</td>\n",
       "      <td>48.80987</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  modulo    angulo\n",
       "Z LT            95.84984  84.43202\n",
       "Y LT             0.00154  89.86041\n",
       "IMP.CARAC.     249.53979  -2.71420\n",
       "Propagação       1.28035  87.14622\n",
       "V_R         288675.13459   0.00000\n",
       "I_R            312.44838 -31.78833\n",
       "V_S         286536.15739   5.07302\n",
       "I_S            375.79774  48.80987"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>real</th>\n",
       "      <th>imaginario</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Z LT</th>\n",
       "      <td>9.30000</td>\n",
       "      <td>95.39760</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Y LT</th>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00154</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IMP.CARAC.</th>\n",
       "      <td>249.25985</td>\n",
       "      <td>-11.81670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Propagação</th>\n",
       "      <td>0.06375</td>\n",
       "      <td>1.27877</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>V_R</th>\n",
       "      <td>288675.13459</td>\n",
       "      <td>0.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>I_R</th>\n",
       "      <td>265.58112</td>\n",
       "      <td>-164.59240</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>V_S</th>\n",
       "      <td>285413.74151</td>\n",
       "      <td>25337.04099</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>I_S</th>\n",
       "      <td>247.48527</td>\n",
       "      <td>282.79848</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    real   imaginario\n",
       "Z LT             9.30000     95.39760\n",
       "Y LT             0.00000      0.00154\n",
       "IMP.CARAC.     249.25985    -11.81670\n",
       "Propagação       0.06375      1.27877\n",
       "V_R         288675.13459      0.00000\n",
       "I_R            265.58112   -164.59240\n",
       "V_S         285413.74151  25337.04099\n",
       "I_S            247.48527    282.79848"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Valor</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Comprimento de onda</th>\n",
       "      <td>4913.47163</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Velocidade de onda</th>\n",
       "      <td>294808.29795</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                            Valor\n",
       "Comprimento de onda    4913.47163\n",
       "Velocidade de onda   294808.29795"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "l_t(230e3,60,300,0.031,0.8435e-3,13.61e-9,0.0125e-6,230e6,0.85)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}