smib_milano_ex8p1_4ord_avr_dashb.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SMIB system as in Milano's book example 8.1 (AVR added)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib widget"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.optimize as sopt\n",
    "import ipywidgets\n",
    "plt.style.use('presentation.mplstyle')\n",
    "colors = plt.rcParams['axes.prop_cycle'].by_key()['color']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from core.smib_milano_ex8p1_4ord_avr import smib_milano_ex8p1_4ord_avr_class,daesolver\n",
    "syst = smib_milano_ex8p1_4ord_avr_class()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
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       "      </g>\n",
       "    </g>\n",
       "    <text xml:space=\"preserve\" style=\"font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.21019292px;line-height:0%;font-family:Arial;-inkscape-font-specification:Arial;letter-spacing:0px;word-spacing:0px;display:inline;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.52916664\" x=\"-36.241962\" y=\"88.901169\" id=\"text46738-2-8-5\"><tspan sodipodi:role=\"line\" id=\"tspan46740-4-0-3\" x=\"-36.241962\" y=\"88.901169\" style=\"font-size:7.4498806px;line-height:1.25;fill:#f0ad4e;stroke:none;stroke-width:0.52916664\">AVR</tspan></text>\n",
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       "    </g>\n",
       "  </g>\n",
       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import SVG\n",
    "SVG('./figures/dash_smib_avr.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.ioff()\n",
    "plt.clf()\n",
    "\n",
    "events = [{'t_end':1.0,'p_m':0.0,'v_ref':1.0,'K_a':200,'T_r':0.1,'D':0.0,'P_t':0.2,'Q_t':0.0},\n",
    "          {'t_end':10.0,'p_m':0.4,'v_ref':1.0,'K_a':500}]\n",
    "    \n",
    "T,X,Y =syst.simulate(events)\n",
    "\n",
    "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(9, 4), frameon=False)\n",
    "fig.canvas.toolbar_visible = False\n",
    "\n",
    "line_delta = axes[0,0].plot(T, X[:,syst.x_list.index('delta')], label='$\\sf \\delta$', color=colors[4])\n",
    "line_omega = axes[1,0].plot(T, X[:,syst.x_list.index('omega')], label='$\\sf \\omega$', color=colors[1])\n",
    "line_v_1 = axes[0,1].plot(T, Y[:,syst.y_list.index('v_1')], label='$\\sf v_1$', color=colors[5])\n",
    "#line_theta_1 = axes[0,1].plot(T, Y[:,syst.y_list.index('theta_1')], label='$\\sf \\\\theta_1$')\n",
    "line_p_t = axes[1,1].plot(T, Y[:,syst.y_list.index('P_t')], label='$\\sf P_t$', color=colors[2])\n",
    "line_q_t = axes[1,1].plot(T, Y[:,syst.y_list.index('Q_t')], label='$\\sf Q_t$', color=colors[0])\n",
    "\n",
    "x_0 = X[0,:]\n",
    "y_0 = Y[0,:]\n",
    "\n",
    "y_labels = ['$\\delta$','$\\omega$','$P_t$']\n",
    "\n",
    "axes[0,0].set_ylim((-1,2))\n",
    "axes[1,0].set_ylim((0.95,1.05))\n",
    "axes[0,1].set_ylim((0.9,1.1))\n",
    "axes[1,1].set_ylim((-0.5,1.5))\n",
    "\n",
    "axes[0,0].grid(True)\n",
    "axes[1,0].grid(True)\n",
    "axes[0,1].grid(True)\n",
    "axes[1,1].grid(True)\n",
    "axes[0,0].legend(loc='best')\n",
    "axes[1,0].legend(loc='best')\n",
    "axes[0,1].legend(loc='best')\n",
    "axes[1,1].legend(loc='best')\n",
    "\n",
    "axes[1,0].set_xlabel('Time (s)')  \n",
    "axes[1,1].set_xlabel('Time (s)') \n",
    "\n",
    "fig.tight_layout()\n",
    "#axes[0].set_title('Par en función de la velocidad')\n",
    "#axes[1].set_title('Corriente en función de la velocidad')\n",
    "\n",
    "p_m_label = ipywidgets.HTMLMath('$$\\sf p_m$$')\n",
    "\n",
    "sld_p_m = ipywidgets.FloatSlider(orientation='horizontal',description = '', \n",
    "                                value=syst.struct.p_m, min=0.0,max= 1.2, \n",
    "                                step=.1)\n",
    "\n",
    "\n",
    "sld_v_ref = ipywidgets.FloatSlider(orientation='horizontal',description = \"$\\sf v^\\star$\", \n",
    "                                value=syst.struct.v_ref, min=0.9,max= 1.1, \n",
    "                                step=.01)\n",
    "\n",
    "sld_K_a = ipywidgets.FloatSlider(orientation='horizontal',description =  'K\\N{LATIN SUBSCRIPT SMALL LETTER A}' , \n",
    "                                value=syst.struct.K_a, min=0.0,max= 500, \n",
    "                                step=10)\n",
    "\n",
    "prog_c = ipywidgets.IntProgress(\n",
    "    value=100,\n",
    "    min=0,\n",
    "    max=120,\n",
    "    step=1,\n",
    "    description='SM Load:',\n",
    "    bar_style='', # 'success', 'info', 'warning', 'danger' or ''\n",
    "    orientation='horizontal' \n",
    ")\n",
    "\n",
    "prog_damp = ipywidgets.IntProgress(\n",
    "    value=10,\n",
    "    min=0,\n",
    "    max=20,\n",
    "    step=1,\n",
    "    description='ζ = 1.0',\n",
    "    bar_style='', # 'success', 'info', 'warning', 'danger' or ''\n",
    "    orientation='horizontal' \n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "118a2502134f40988b942aa2841e9657",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VBox(children=(HBox(children=(Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    " \n",
    "\n",
    "def update(change):\n",
    "    \n",
    "    p_m = sld_p_m.value\n",
    "    v_ref = sld_v_ref.value\n",
    "    K_a = sld_K_a.value\n",
    "    \n",
    "    events = [{'t_end':1.0,'p_m':0.0,'v_ref':1.0,'K_a':200,'T_r':0.1,'D':0.0,'P_t':0.2,'Q_t':0.0},\n",
    "              {'t_end':20.0,'p_m':p_m,'v_ref':v_ref,'K_a':K_a}]\n",
    "\n",
    "    T,X,Y =syst.simulate(events)\n",
    "\n",
    "    line_delta[0].set_data(T, X[:,syst.x_list.index('delta')])\n",
    "    line_omega[0].set_data(T, X[:,syst.x_list.index('omega')])\n",
    "    line_v_1[0].set_data(T, Y[:,syst.y_list.index('v_1')])\n",
    "    #line_theta_1[0].set_data(T, Y[:,syst.y_list.index('theta_1')])\n",
    "    line_p_t[0].set_data(T, Y[:,syst.y_list.index('P_t')])\n",
    "    line_q_t[0].set_data(T, Y[:,syst.y_list.index('Q_t')])\n",
    "\n",
    "    c = np.abs(Y[-1,syst.y_list.index('i_d')]+1j*Y[-1,syst.y_list.index('i_q')])\n",
    "\n",
    "    prog_c.bar_style = 'success'\n",
    "    if c>0.9:\n",
    "        prog_c.bar_style = 'warning'\n",
    "    if c>1.0:\n",
    "        prog_c.bar_style = 'danger'\n",
    "    prog_c.value = 100*c\n",
    "\n",
    "    A = syst.eval_A()\n",
    "\n",
    "    w,v = np.linalg.eig(A)\n",
    "    w_osc = w[w.imag>1.0]\n",
    "    damp_psc = -w_osc.real/np.abs(w_osc)\n",
    "    min_damp = np.min(damp_psc)\n",
    "\n",
    "    prog_damp.bar_style = 'success'\n",
    "    if min_damp<0.07:\n",
    "        prog_damp.bar_style = 'warning'\n",
    "    if min_damp<0.05:\n",
    "        prog_damp.bar_style = 'danger'\n",
    "    prog_damp.value = 100*min_damp\n",
    "    min_damp_100 = 100*min_damp\n",
    "    if min_damp_100>20: min_damp_100=20 \n",
    "    if min_damp_100<0: min_damp_100=0\n",
    "    prog_damp.description=f'ζ = {100*min_damp:2.0f}%'\n",
    "\n",
    "    fig.canvas.draw_idle()\n",
    "     \n",
    "   \n",
    "    \n",
    "sld_p_m.observe(update, names='value')\n",
    "sld_v_ref.observe(update, names='value')\n",
    "sld_K_a.observe(update, names='value')\n",
    "\n",
    "layout_row1 = ipywidgets.HBox([fig.canvas])\n",
    "layout_row2 = ipywidgets.HBox([ipywidgets.HTMLMath('$\\sf p_m$'),sld_p_m,sld_v_ref,prog_c])\n",
    "layout_row3 = ipywidgets.HBox([sld_K_a,prog_damp])\n",
    "\n",
    "layout = ipywidgets.VBox([layout_row1,layout_row2,layout_row3])\n",
    "layout"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "75f7a4094a084d3894839737ad6f8906",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HTMLMath(value='$\\\\sf \\\\cdot$')"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ipywidgets.HTMLMath('$\\sf \\cdot$')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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    "name": "ipython",
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