{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tokamak GOLEM - electron energy confinement $\\tau_E$ calculation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Strategic flowchart\n",
    "<br/>\n",
    "<img src=\"drawing.jpg\" width=\"75%\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Python Intro"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# NOTE: Please use  python 2 version of language/kernel\n",
    "\n",
    "# First we import the necessary modules (libraries)\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import sys\n",
    "from scipy.integrate import cumtrapz\n",
    "from scipy import constants\n",
    "\n",
    "# The following line activates the inline plotting backend in the notebook.\n",
    "%matplotlib inline\n",
    "\n",
    "# Next we define some fundamental constants and parameters\n",
    "RogowskiCalibration = 5.3e6  # Calibration for Rogowski coil\n",
    "UloopCalibration = 5.5 # Calibration for U loop measurement\n",
    "V_p = 0.057 #m^3 Plasma volume\n",
    "k_B = constants.k # Boltzmann constant\n",
    "eV = constants.e # 1 eV equivalent to J\n",
    "baseURL = \"http://golem.fjfi.cvut.cz/utils/data/\"\n",
    "VacuumShotNo = 22475\n",
    "PlasmaShotNo = 22471\n",
    "\n",
    "#The following function will download the text file of the given data in the given shot and read it into an array and return it.\n",
    "ds = np.DataSource()\n",
    "\n",
    "def open_data(shot_no, data_id):\n",
    "    f = ds.open(baseURL + str(shot_no) + '/' + str(data_id) + '.npz')\n",
    "    return np.load(f)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Chamber resistance $R_{ch}$ calculation from vacuum shot\n",
    "### Plot raw data from NIstandard DAS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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V/WMlhfGpiKwWkddF5KRK2qZJM/7RuNNgKAPjc9llka8PuMNI/sN8xpiqIdDk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\nlxbnnHPRamq10f8CI0VkGdAWOEpEHok+Wemp6kh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wmeLUK0lS1cuAy9LEnw3s\nHkX6nHPOOVcYJVFt5JxzzjkX45kX55xzzpUUz7w455xzrqR45sU555xzJcUzL65BPmOvc8655sR/\nllyDTjih2Clwzjnn4jzz4pxzzrmS4pkX55xzzpWUksm8iMiGIvKwiCwWkUUick8wem6mfQ4XkYki\nskBE6kSkb4o464jISBGZLyJLRGSciGyS6ngtj02oVe7zGiVPHFau/DrLi19neWkp1xmVksm8AA8D\n2wJ7AQcCg7Bh/zNZD3gdOD9DnBHB8Y4AdgN+DjyRa2LLQ8v4MLWULw2/zvLi11leWsp1RqUkpgcI\nZpXel8RZpc8CnheR81LNKg2gqmOCuN3THLc9cBIwRFX/HYSdCHwiIjur6rsRX4pzzjnnclQqJS8D\ngB+Sps+OTdC4cw7HrQDWBl6OBajqf4GvgnM655xzrpkplcxLF2BeOEBVVwMLg225HLdWVWuSwucC\nnXM4blnp1q3YKXDOOefiilptJCLXkbk9Clg7l+ZkHYBPPvmk2OnIq9pagMVAFb17Q1VVAzuUsMWL\nF1NVzhcY8OssL36d5aWlXGfot3OdXI4jWsSuJCLSCdiwgWizgP8FblTVn+KKyM+A5cARqvpUA+fp\nDnwB9FPV6aHwPbAqow7h0hcRqQZGqOqtKY51LNZ42DnnnHPZOU5Vx2a7c1FLXlR1PjC/oXgi8g7Q\nQUT6h9q97IFVe+XSqHYKsArrwfREcK6tgS2Ad9Ls8yJwHFANrMjh3M4551xLsw7QHfstzVpRS16a\nQkSex9qhnA60Bu4H3lPV34XizAAuVNXxwXpHoBvW/flZ4BjgU+A7VZ0bxLkTOAA4AVgC3A7Uqeqv\nC3NlzjnnnGuKUmmwC1baMQPrZfQcNn7LqUlxtgLahdYPAaqwjIsCjwTrp4XiDA+2Pw68BnwLHB59\n8p1zzjkXhZIpeXHOOeecg9IqeXHOOeec88yLc84550qLZ16aQESGiUi1iCwXkUkislOx0xQlEbk8\nmMAyvHxc7HTlSkQGicgzIvJNcE2HpIhzhYh8KyI/ishLItK7GGnNVUPXKiKjU9zj54uV3myIyEUi\nMllEakRkrog8KSJbpYhX8ve0MddaJvf0DyIyLZh4d7GIvC0i+yXFKYf7mfE6y+FepiIiFwbXMiIp\nPOt76pmXRhKRo4GbgMuAHYFpwIsisnFRExa9j7CRh2NLOfS6Wg+YCgwL1hMaeonIBcBZWEPunYFl\n2L1tU8hERiTjtQbrE0i8x0MKlrpoDMJ6Be4M7I1N8TFRRNaLRSije9rgtVIe9/Rr4AKgPzZtyyvA\n0yKyHZTV/cx4nZTHvUwQ/Mk/FZhO6Pso53uqqr40YsHGk7kttC7AbOCCYqctwmu8HJha7HTk+Rrr\ngIOT7uN3wLmhsHbYAIhHFzu9UV5rEDYaeLLYaYv4OjsF1/rrFnBPE661XO9pcF0LgBPL+X6Gr7Mc\n7yXQFvgvNi7bq8DNQXjO99RLXhpBRFpjOeXwBI4arJfbBI5bBlUOn4vIGBHZvNgJyrMe2PhB4Xtb\ng2VWy+3egv3z2T2ogpghIneKSEOjXDd3HYLHhcFjOd/T5GuFMrunItJKRI4B2gBvUKb3M8V1Qpnd\nS2Ak8KyqvoJlWGJyvqdFHWG3hHQCWmETNobNA7YpfHLyZhIwFMsp/xyrIntDRLZX1aVFTVn+xCb2\nTL63c8lt0s/m6gVsTKNZQG/gGmCCiAxQ1bqipiwLIrIWcAvwpqrG2meV5T1Nc61QJvdURPpgI5u3\nwf6BH6Wqn4nIwCBKWdzPdNcZbC6LewkQZMz6AbG2oeEq7Jw/o555cT9R1RdCqx+JyLvAl8BRwH3F\nSVXRCFY8X1ZU9Z+h1f+IyHTgc2B3rP691IwEfkHj2maV+j1Nea1ldE9nAH2B9sCRwCMisnuG+KV6\nP1Nep6pWlcu9DErsbwX2UtXaWDCJpS8pd6WR99SrjRpnPrAGK+YK64zV25UlVV2MTafQq9hpyaM5\nwWOqezuHMqeqs7D3d8ndYxG5A5vaY7CqfhvaVHb3NMO11lOq91RVV6nqF6o6VVUvxqoQ/kD8O7Ys\n7meG60wVtyTvJdYYeWOgSkRWicgqrPH5H0Wklgg+o555aYQg5zgFm8AR+KkId0/ST+BY8kSkLbAl\nZZxBw4pn55B4b9sBv6KM722MiGwGbEQJ3WMxd2DTf+yhql8mRSmbe9qIa021T8nd0zRaAWsFP+Bl\ncT/TaEWa3+ISvpcvA9sDOwRLP+B9YEzwPOd76tVGjXcz8ICIvA9MBs4B1sUmiCwLInIj8DTwFdbm\n5a9ALVBZzHTlSkTWxzJhMT1FpB+wQFW/FpFbgP8TkZnYbOFXAt8A4wue2BxlulaskeflwDisbrkX\n8DdgJjnO8FpgI7Huo4cAy0QkVkf+g6quUFUto3ua8VqD+305JX5PReRa4HmsK/EGwLHYP/Wrgihl\ncT8zXWe53EuAoI1kwhhhIvIjsDDWXivnz2ixu1KV0oKNnVENrMByhzsVO00RX19l8OZZgX24xgI9\nip2uCK5rd6wetQ6r/os9vy8U56/Yv5vlwESgd7HTHfW1YlPRv4B9Ma7E/v38Hdi42Olu4jUmX1ts\nOT4pXsnf04autYzu6T1B2lcE1zIR2LMM72fa6yyXe5nh2n/qKh3FPfWJGZ1zzjlXUrzNi3POOedK\nimdenHPOOVdSPPPinHPOuZLimRfnnHPOlRTPvDjnnHOupHjmxTnnnHMlxTMvzjnnnCspnnlxzjnn\nXEnxzItzzjnnSopnXpxzzjlXUjzz4pwrGBEZLSJPFuG8J4hIXbDcnMfzdA+dZ2q+zuNcS+ezSjvn\nIiEidQ1EuRw4C5D8pyalGmAr4Mc8nuMrYFPgT8CeeTyPcy2aZ16cc1HpEnp+DHAFllmIWaaqywqb\npASqqvPyfII6YK6ILKN4mTTnyp5XGznnIqGq82ILVsqh4TBVXZZcbSQi/xaR20TkFhFZKCJzROQk\nEWkrIg+ISI2IzBSR/cLnEpHtRWSCiCwJ9nlQRDZqappFpFpE/hLsv0REZonIb0Sks4g8E4RNE5GK\n0D7dgm0LRWSpiHwkIvvn8to555rGMy/OuULSYAkbCswDdgJuB/4BjANeB3YEJgIPici6ACLSAXgF\nmAJUAPsBnYFHs0zTcOANoB/wPDAGeAgYDfQHPgceDMUfCawN/A+wPXA+sDTLczvnsuCZF+dcIQn1\nq1M+UNVrVPVz4FpgBTBHVe8Nwq4ANgL6BPHPBKpU9f9U9VNV/QA4GRgsIr2bmB4FnlPVUaFztQfe\nVtXHVXUmcD2wrYhsEuyzebD9P6pararPq+obTTyvcy4H3ubFOVdMCnz404pqnYgsCIdhpTIAsczD\nDlhGZUmKY/UCPmtiGqanOFe6888DbgPuEpF9gJeBx1U1HN85l2de8uKcK7ZVSesaDlPVWDVT7Ptq\nfeBpLBMTXrbEqn+yPn/oXOE0JZxfVe8FemJVS32A90XkzCzO65zLkmdenHOlpgpra/Klqn6RtOSz\nG/RPVHW2qv5DVX8L3AScUojzOueMZ16cc8WUqg1MQ0YCGwKVIvJLEeklIvuKyH0ikvfvtKBn1D4i\n0kNE+gN7AB/n+7zOuTjPvDjn8iW5V1EsTDOsN3xQ1e+AXYFWWE+k6cAIYFEwzko+hNO4FpaB+hiY\nAMwAzsjTeZ1zKUi8itc558qTiJwAjFDVjgU63+XAIaq6YyHO51xL4yUvzrmWQIH2waBz1+brJCKy\nhYgsBS6iiSVKzrnG85IX51zZE5G2xLtaL1bVBXk6TyugW7C6UlW/ycd5nGvpPPPinHPOuZLi1UbO\nOeecKymeeXHOOedcSfHMi3POOedKimdenHPOOVdSPPPinHPOuZLimRfnnHPOlRTPvDjnnHOupPw/\n250NLAqoH4cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f17b13e5650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# First let's get the data from the DAS in the columns specified by the given identifiers.\n",
    "IDuloop = open_data(VacuumShotNo,'uloop')\n",
    "IDirog = open_data(VacuumShotNo,'irog')\n",
    "time =  np.linspace(IDuloop['t_start'],IDuloop['t_end'], len(IDuloop['data']))\n",
    "\n",
    "# Let's show raw data:\n",
    "f,ax = plt.subplots(2,sharex=True)\n",
    "f.suptitle('Vacuum shot: #'+str(VacuumShotNo)+ '- raw data from NIstandard DAS')\n",
    "\n",
    "f.subplots_adjust(hspace=0.05)\n",
    "ax[0].set_ylim(0,2)\n",
    "ax[0].set_ylabel('channel #1 [V]')\n",
    "ax[0].plot(time*1e3, IDuloop['data'],label='ID:uloop')\n",
    "ax[1].set_ylim(-.1,0.3)\n",
    "ax[1].set_ylabel('channel #3 [V]')\n",
    "ax[1].plot(time*1e3, IDirog['data'],label='ID:irog')\n",
    "ax[1].set_xlabel('Time [ms]')\n",
    "[a.legend(loc='best') for a in ax]\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Get real physical quantities from raw data\n",
    "Physical quantities can be obtained by multiplying the raw data by appropriate calibration constants. In the case of the current, the derivative is measured, so the signal has to be numerically integrated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ePB5NKMvKldCiRTyxiTRlBQUFFBSUritILCxaW0pwquYy4Ep3fzJ6/LmZbQFc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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f17d4599890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Uloop from IDuloop needs only multiplication\n",
    "U_l = IDuloop['data']*UloopCalibration\n",
    "# Chamber current I_ch needs offset correction, integration and calibration\n",
    "i_offset = time.searchsorted(.004)\n",
    "offset = np.mean(IDirog['data'][:i_offset]) # Up to 4 ms no signal, good zero specification\n",
    "I_ch = cumtrapz(IDirog['data']-offset, time,initial=0)  # offset correction and integration\n",
    "I_ch *= RogowskiCalibration # calibration\n",
    "\n",
    "# And let's plot it\n",
    "f,ax = plt.subplots(2,sharex=True)\n",
    "f.subplots_adjust(hspace=0.05)\n",
    "f.suptitle('Vacuum shot: #'+str(VacuumShotNo)+ '- real data')\n",
    "\n",
    "ax[0].set_ylabel('$U_l$ [V]')\n",
    "ax[0].plot(time*1e3,U_l,label='Loop voltage $U_l$')\n",
    "ax[1].set_ylabel('$I_{ch}$ [A]')\n",
    "ax[1].plot(time*1e3,I_ch,label='Chamber current $I_{ch}$')\n",
    "ax[1].set_xlabel('Time [ms]')\n",
    "[a.legend(loc='best') for a in ax]\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Final chamber resistance specification\n",
    "The chanber resistnace should be calculated in the time span where the physical quantities are reasonably stationary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Chamber resistance =  (9.38 +/- 0.02) mOhm\n"
     ]
    }
   ],
   "source": [
    "t_start = time.searchsorted(0.014) \n",
    "t_end = time.searchsorted(0.015) \n",
    "# R_ch calculation via Ohm's law:\n",
    "R_ch = (U_l[t_start:t_end]/I_ch[t_start:t_end]) # in Ohms\n",
    "# final value\n",
    "R_ch, R_err = np.mean(R_ch), np.std(R_ch)\n",
    "\n",
    "print(\"Chamber resistance =  (%.2f +/- %.2f) mOhm\"%(R_ch*1e3, R_err*1e3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Energy confinement time  $\\tau_{E}$ calculation from plasma shot\n",
    "### Plot raw data from NIstandard DAS and interferometer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vReQ2XM1MXy/9lbhB2T4n0YakC9A9+0MxVXHUUZmfs4DE1ERhtvdo1sxNsvfZ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\nJXY5rbYaEn+W35Ytozl/48Zw5ZWusBLscdO0aTTxZOqNN9x64cLC5D9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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f17d455c290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5GdnZ2Rg3bhySk5Nx991349JLL8WCBQswePDgMmUvLi7G6aefjlatWuG+++7D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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f17b06be6d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get data\n",
    "IDuloop = open_data(PlasmaShotNo,'uloop')\n",
    "IDirog = open_data(PlasmaShotNo,'irog')\n",
    "#time =  np.linspace(IDuloop['t_start'],IDuloop['t_end'], len(IDuloop['data']))\n",
    "\n",
    "IDelectron_density = open_data(PlasmaShotNo,'electron_density')\n",
    "#interpolate the density on the same time axis as the rest of the quantities\n",
    "n_e = IDelectron_density['data']\n",
    "time_ne =  np.linspace(IDelectron_density['t_start'],IDelectron_density['t_end'], len(n_e))\n",
    "n_e = np.interp(time, time_ne, n_e)\n",
    "\n",
    "# Let's show raw data from NIstandard:\n",
    "f,ax = plt.subplots(2,sharex=True)\n",
    "f.subplots_adjust(hspace=0.1)\n",
    "f.suptitle('Plasma shot: #'+str(PlasmaShotNo)+ '- raw data from NIstandard DAS')\n",
    "\n",
    "ax[0].set_ylim(0,2)\n",
    "ax[0].set_ylabel('channel #1 [V]')\n",
    "ax[0].plot(time*1e3, IDuloop['data'],label='ID:uloop')\n",
    "ax[1].set_ylim(0,0.3)\n",
    "ax[1].set_ylabel('channel #3 [V]')\n",
    "ax[1].plot(time*1e3, IDirog['data'],label='ID:irog')\n",
    "ax[1].set_xlabel('Time [ms]')\n",
    "[a.legend(loc='best') for a in ax]\n",
    "plt.show()\n",
    "\n",
    "# Let's show raw data from interferometer diagnostics :\n",
    "f,ax = plt.subplots()\n",
    "ax.set_title('Plasma shot: #'+str(PlasmaShotNo)+ '- raw data from TektronixDPO DAS')\n",
    "\n",
    "ax.set_xlabel('Time [ms]')\n",
    "ax.set_ylabel('$n_e\\ \\mathrm{[m^{-3}]}$')\n",
    "ax.plot(time*1e3, n_e,label='ID:electron_density')\n",
    "ax.legend() \n",
    "ax.set_ylim(0,None)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get real physical data "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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uu4AbeG7iRPj665zLMMaYyChS8iEiJwGDPVNjYAGuq/P/qOr+ogbn2Ucn4E5c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\n39s1HeH0SiBLRIaq6hIAEXkcN9Lp4Boes8ZU9dzA1yIyEtiKSzSWxjo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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f17b0a17d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Uloop from IDuloop needs only multiplication\n",
    "U_l = IDuloop['data']*UloopCalibration\n",
    "# Chamber current I_ch needs offset correction, integration and calibration\n",
    "offset = np.mean(IDirog['data'][:i_offset]) # Up to 4 ms no signal, good zero specification\n",
    "I_chANDp = cumtrapz(IDirog['data']-offset, time, initial=0)  # offset correction and integration\n",
    "I_chANDp *= RogowskiCalibration # calibration\n",
    "I_p=I_chANDp-U_l/R_ch # getting real plasma current from Ohm's law\n",
    "\n",
    "# And let's plot it\n",
    "f,ax = plt.subplots(3,sharex=True )\n",
    "f.subplots_adjust(hspace=0.05)\n",
    "f.suptitle(r'Plasma shot: #'+str(PlasmaShotNo)+ '- real data')\n",
    "\n",
    "ax[0].set_ylabel('$U_l$ [V]')\n",
    "ax[0].plot(time*1e3, U_l,label='Loop voltage $U_l$')\n",
    "ax[1].set_ylabel('$I_{ch+p}$ [kA]')\n",
    "ax[1].plot(time*1e3,I_chANDp/1e3,label='Chamber+plasma current $I_{ch+p}$')\n",
    "ax[2].set_ylabel('$I_{p}$ [kA]')\n",
    "ax[2].plot(time*1e3,I_p/1e3,label='Plasma current $I_{p}$')\n",
    "ax[2].set_xlabel('Time [ms]')\n",
    "[a.legend(loc='best') for a in ax]\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data correlation .."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Zfv89eL1cOfkKNZ22/UU8a5aoy03wKtuWwC3wG9sUIwweOiSdXqVK/m1hluER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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f17b0cadd50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#select only a signal with the plasma \n",
    "i_start,i_end = time.searchsorted((IDuloop['plasma_start']+5e-4,IDuloop['plasma_end']-5e-4))\n",
    "\n",
    "n_e = n_e[i_start:i_end]\n",
    "I_p = I_p[i_start:i_end]\n",
    "U_l = U_l[i_start:i_end]\n",
    "time = time[i_start:i_end]\n",
    "\n",
    "\n",
    "# And let's plot it\n",
    "f,ax = plt.subplots(3,sharex=True)\n",
    "f.subplots_adjust(hspace=0.05)\n",
    "f.suptitle('Plasma shot: #'+str(PlasmaShotNo)+ '- real data')\n",
    "\n",
    "ax[0].set_ylabel('$U_l$ [V]')\n",
    "ax[0].plot(time*1e3, U_l,label='Loop voltage $U_l$')\n",
    "ax[1].set_ylabel('$I_{p}$ [kA]')\n",
    "ax[1].plot(time*1e3,I_p/1e3,label='Plasma current $I_{p}$')\n",
    "ax[2].set_ylabel('$n_{e}$ [$m^{-3}$]')\n",
    "ax[2].plot(time*1e3,n_e,label='Electron density $n_{e}$')\n",
    "ax[-1].set_xlabel('Time [ms]')\n",
    "[a.legend(loc='best') for a in ax]\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Final calculations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Xn/281lIwA6tXW7FuwtEiGgo30dSItAVwCGKL8RWAJcFsOMLBFwwt3iVA2mzf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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f17d45b2d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Energy confinement time =  (41 +/- 7) us\n"
     ]
    }
   ],
   "source": [
    "R_p = np.maximum(0,U_l/I_p) # plasma resistivity adopted to avoid power(xx,-2./3) problems @ T_e calculation\n",
    "P_OH = U_l*I_p  # Plasma heating power\n",
    "T_e = 0.9*R_p**(-2./3) # Electron temperature (the GOLEM specific case)\n",
    "W_p = V_p*n_e*eV*T_e/3 # Energy content in the plasma\n",
    "# Let's make final calculations in the stationary phase to avoid complex derivation calculations of plasma energy balance\n",
    "imin,imax = time.searchsorted((0.015, 0.020))\n",
    "P_OH = P_OH[imin:imax]\n",
    "W_p = W_p[imin:imax]\n",
    "time = time[imin:imax]\n",
    "tau = W_p/P_OH \n",
    "#Plot\n",
    "f,ax = plt.subplots(3, sharex=True)\n",
    "f.suptitle('Plasma shot: #'+str(PlasmaShotNo)+ ' energy balance')\n",
    "\n",
    "f.subplots_adjust(hspace=0.001)\n",
    "ax[0].set_ylabel('$P_{OH}$ [kW]')\n",
    "ax[0].plot(time*1e3, P_OH/1000,label='Ohming heating power $P_{OH}$')\n",
    "ax[1].set_ylabel('$W_p$ [J]')\n",
    "ax[1].plot(time*1e3,W_p,label='Plasma energy volume $W_p$')\n",
    "ax[2].set_ylabel(r'$\\tau_E$ [us]')\n",
    "ax[2].plot(time*1e3,tau*1e6,label=r'Energy confinement time $\\tau_E$')\n",
    "ax[2].set_ylim(0,50)\n",
    "ax[2].grid('on')\n",
    "[a.legend(loc='best') for a in ax]\n",
    "ax[-1].set_xlabel('Time [ms]')\n",
    "plt.show()\n",
    "\n",
    "# Final calculation\n",
    "tau, tau_err = np.mean(tau), np.std(tau)\n",
    "print(\"Energy confinement time =  (%.0f +/- %.0f) us\"%(tau*1e6,tau_err*1e6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Resources:\n",
    "\n",
    "* [Notebook (.ipynb)](script.ipynb)\n",
    "* [python (.py)](script.py)\n",
    "* [(.pdf) version](script.pdf)\n",
    "* [(.html) version](http://golem.fjfi.cvut.cz/wikiraw/Education/ExperimentMenu/ElectronEnergyConfinementTime/Code/Jupyter/script.html)\n",
    "* [flowchart](drawing.jpg)\n",
    "* [all in zip](script.zip)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
