Homework 8 Code.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 120,
   "id": "364ee423",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "import scipy as sp\n",
    "import scipy.sparse\n",
    "from scipy.sparse.linalg import inv"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "14686db3",
   "metadata": {},
   "source": [
    "# Question 1 Part 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "1adfcae8",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Import edge list and clean up data\n",
    "G = nx.read_edgelist(\"/Users/jacobeverly/Documents/Graph Science/HW8/hospital_edge.txt\", create_using = nx.Graph)\n",
    "G = nx.convert_node_labels_to_integers(G)\n",
    "\n",
    "#Established parameters\n",
    "gamma = 0.1\n",
    "beta = [0.2,0.5,0.9]\n",
    "\n",
    "#N number of nodes and edges\n",
    "NumN = len(G.nodes)\n",
    "NumE = len(G.edges)\n",
    "\n",
    "#Make list of degrees and nodes\n",
    "D = [(G.degree(n)) for n in G.nodes] \n",
    "nodes = list(G.nodes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "4479e764",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Probablity function\n",
    "def probs(gamma, beta, step, ts, n):\n",
    "    \n",
    "    FinDiff1 = (beta/D[n])*(1-ts[step-1][n])\n",
    "    FinDiff2 = np.sum([ts[step-1][i] for i in nx.neighbors(G,n)])\n",
    "    \n",
    "    return FinDiff1 * FinDiff2-gamma * ts[step - 1][n]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "a4cf58da",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Fit when looking at the graphs converged\n",
    "ts = 100\n",
    "#Function for SIR model\n",
    "def SIR (gamma,beta,NumN,ts):\n",
    "    ts_arr = np.zeros((ts,NumN))\n",
    "    rand_infected = random.choice(range(NumN))\n",
    "    ts_arr[0][rand_infected] = 1\n",
    "    for j in range(1,ts):\n",
    "         for i in range(NumN):\n",
    "            ts_arr[j][i] = probs(gamma, beta, j, ts_arr, i) + ts_arr[j-1][i]\n",
    "    SIRresults = np.transpose(ts_arr)\n",
    "    return SIRresults\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "610ee8a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "for plot in SIR(gamma,beta[0],NumN,ts):\n",
    "    plt.plot(range(ts), plot)\n",
    "for plot in SIR(gamma,beta[1],NumN,ts):\n",
    "    plt.plot(range(ts), plot)\n",
    "for plot in SIR(gamma,beta[2],NumN,ts):\n",
    "    plt.plot(range(ts), plot)\n",
    "plt.xlabel('Time Step')\n",
    "plt.ylabel('Probability of Infection')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ea396eb",
   "metadata": {},
   "source": [
    "# Question 1 Part 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "id": "e984f97b",
   "metadata": {},
   "outputs": [],
   "source": [
    "#fit graph to the converging time\n",
    "ts = 100\n",
    "\n",
    "def SI(beta, NumN):\n",
    "    ts = 100\n",
    "    ts_arr = np.zeros((ts,NumN))\n",
    "    Ninf = np.zeros(ts)\n",
    "    ts_arr[0][0] = 1\n",
    "    \n",
    "    for j in range(1,ts):\n",
    "        for i in range(NumN):\n",
    "            if random.uniform(0,1) < beta:\n",
    "                n = random.choice([n for n in nx.neighbors(G,i)])\n",
    "                ts_arr[j][i] = (1-ts_arr[j-1][i]) * ts_arr[j-1][n] + ts_arr[j-1][i]\n",
    "                                                                            \n",
    "            else:\n",
    "                ts_arr[j][i] = ts_arr[j-1][i]\n",
    "                                                                            \n",
    "        Ninf[j] = np.sum(ts_arr[j])\n",
    "        TranRate= np.transpose(ts_arr)\n",
    "                                                                            \n",
    "    return TranRate , Ninf\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "309a292e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x, Ninf = SI(beta[0],NumN)\n",
    "plt.figure(figsize=(10, 10))\n",
    "plt.plot(range(ts), Ninf )\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('# Infected')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "id": "0d2fa8c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '#')"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test = np.zeros((1000,ts))\n",
    "for t in range(1000):\n",
    "    x, Ninfect = SI(beta[0], NumN)\n",
    "    test[t] = Ninfect\n",
    "infected = np.transpose(test)\n",
    "arr = []\n",
    "for k in range(ts):\n",
    "    arr.append(np.mean(infected[k]))\n",
    "plt.figure(figsize=(10, 10))\n",
    "plt.plot(range(ts), arr)\n",
    "plt.xlabel('Time Step')\n",
    "plt.ylabel('#')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "id": "a7506519",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Result = SIR(0, beta[0],NumN, ts)\n",
    "plt.figure(figsize=(10, 10))\n",
    "for i in Result:\n",
    "    plt.plot(range(ts), i)\n",
    "plt.xlabel('Time Step')\n",
    "plt.ylabel('Probability of Infection')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e15983d",
   "metadata": {},
   "source": [
    "# Question 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "id": "83e2d3d7",
   "metadata": {},
   "outputs": [],
   "source": [
    "G2 = nx.read_edgelist(\"/Users/jacobeverly/Documents/Graph Science/HW8/rt.txt\", create_using = nx.Graph)\n",
    "NumN2 = len(G2.nodes)\n",
    "G2 = nx.convert_node_labels_to_integers(G2)\n",
    "D2 = [(G2.degree(n)) for n in G2.nodes]\n",
    "alpha = 0.5/(max(D2))\n",
    "\n",
    "#Given Parameters\n",
    "th = [0.1, 0.5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "id": "0bb1fd3b",
   "metadata": {},
   "outputs": [],
   "source": [
    "def indicate(y, tau):\n",
    "    if y <= tau:\n",
    "        x = 1\n",
    "    else: x = 0\n",
    "        \n",
    "    return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "id": "2a5ad8e1",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<class 'networkx.utils.decorators.argmap'> compilation 13:4: FutureWarning: laplacian_matrix will return a scipy.sparse array instead of a matrix in Networkx 3.0.\n",
      "/Users/jacobeverly/opt/anaconda3/lib/python3.9/site-packages/scipy/sparse/linalg/_dsolve/linsolve.py:347: SparseEfficiencyWarning: splu converted its input to CSC format\n",
      "  warn('splu converted its input to CSC format', SparseEfficiencyWarning)\n",
      "/Users/jacobeverly/opt/anaconda3/lib/python3.9/site-packages/scipy/sparse/linalg/_dsolve/linsolve.py:239: SparseEfficiencyWarning: spsolve is more efficient when sparse b is in the CSC matrix format\n",
      "  warn('spsolve is more efficient when sparse b '\n"
     ]
    }
   ],
   "source": [
    "nodelist = list(G2)\n",
    "weight=\"weight\"\n",
    "A = nx.to_scipy_sparse_array(G2, nodelist=nodelist, weight=weight, format=\"csr\")\n",
    "n, m = A.shape\n",
    "Diag = sp.sparse.csr_array(sp.sparse.spdiags(A.sum(axis=1), 0, m, n, format=\"csr\"))\n",
    "laplace = nx.laplacian_matrix(G2)\n",
    "laplace_rw = inv(Diag).dot(laplace)\n",
    "mix_mat = (1-alpha) * np.eye(NumN2) - alpha * laplace_rw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "id": "5ed4f10e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def HKBC(V, tau, mix_mat, level):\n",
    "    ts = np.zeros((level,NumN2))\n",
    "    opinion = np.random.uniform(0,1,NumN)\n",
    "    ts[0] = opinion\n",
    "    for h in range(1,level):\n",
    "        for i in range(NumN2):\n",
    "            x = np.sum([mix_mat[i,j] * indicate(abs(ts[h-1][i] - ts[h-1][j]), tau) * ts[h-1][j] for j in range(NumN2)])\n",
    "            y = np.sum([mix_mat[i,j] * indicate(abs(ts[h-1][i] - ts[h-1][j]), tau) for j in range(NumN2)])\n",
    "            ts[h][i] = x / y\n",
    "    res = np.transpose(ts)\n",
    "    return res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "id": "2d4c3160",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "level = 250\n",
    "plt.figure(figsize=(10, 10))\n",
    "for i in HKBC(NumN2, 0.1, mix_mat, level):\n",
    "    plt.plot(range(level), i)\n",
    "plt.xlabel('Time Step')\n",
    "plt.ylabel('Value')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "id": "ed351054",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "level = 2000\n",
    "plt.figure(figsize=(10, 10))\n",
    "for i in HKBC(NumN2, 0.5, mix_mat, level):\n",
    "    plt.plot(range(level), i)\n",
    "plt.xlabel('Time Step')\n",
    "plt.ylabel('Value')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa5fdfc2",
   "metadata": {},
   "source": [
    "# Question 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "id": "28ae989f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.io\n",
    "mat = scipy.io.loadmat('/Users/jacobeverly/Documents/Graph Science/HW8/ieee30.mat')\n",
    "Bbus = mat['Bbus']\n",
    "Ybus = mat['Ybus']\n",
    "sinj = mat['sinj']\n",
    "vp = mat['vp']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a69def3c",
   "metadata": {},
   "outputs": [],
   "source": [
    "gn = np.linspace(0,29,30)\n",
    "G3 = nx.random_geometric_graph(30, radius = 0.3, seed = 96845)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "aad44640",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Part 1, voltage phasers times the conjugate of i, i = admittance*(vp1-vp0)\n",
    "\n",
    "#Part 2 is the real part of the number, so active - imaginary, to get the angle it should be cos^-1(apparent/active)\n",
    "\n",
    "#Part 3 \n",
    "\n",
    "\n",
    "AppPow = []\n",
    "for i in vp:\n",
    "    P = (vp[i])*(vp[i])*(Bbus[:,i])\n",
    "    AppPow.append(P)\n",
    "\n",
    "    \n",
    "     "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "id": "a816e51f",
   "metadata": {},
   "outputs": [],
   "source": [
    "#apparent power\n",
    "i = Ybus*vp\n",
    "ap = vp * (np.conjugate(i))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "id": "2c8f1dee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 4.15420790e-01],\n",
       "       [ 3.37018526e-01],\n",
       "       [-2.40000001e-02],\n",
       "       [-7.59999999e-02],\n",
       "       [-1.66044899e-11],\n",
       "       [ 4.30686742e-10],\n",
       "       [-2.28000000e-01],\n",
       "       [-3.00000000e-01],\n",
       "       [ 1.86270597e-10],\n",
       "       [-5.79999980e-02],\n",
       "       [ 0.00000000e+00],\n",
       "       [-1.12000001e-01],\n",
       "       [ 1.62002017e-01],\n",
       "       [-6.19999994e-02],\n",
       "       [-8.19999972e-02],\n",
       "       [-3.49999972e-02],\n",
       "       [-8.99999983e-02],\n",
       "       [-3.19999989e-02],\n",
       "       [-9.49999992e-02],\n",
       "       [-2.19999997e-02],\n",
       "       [-1.74999999e-01],\n",
       "       [ 2.27403321e-01],\n",
       "       [ 1.30669522e-01],\n",
       "       [-8.69999980e-02],\n",
       "       [ 1.43344948e-10],\n",
       "       [-3.50000000e-02],\n",
       "       [ 3.99090211e-01],\n",
       "       [ 8.53043942e-10],\n",
       "       [-2.40000000e-02],\n",
       "       [-1.06000000e-01]])"
      ]
     },
     "execution_count": 163,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#actual power\n",
    "ap.real"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "id": "f86f8be5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(-2.220446049250313e-16+0.024559314723734182j), (0.0005864991090134275+0.04403840012405613j), (0.00040733705235518336+0.009760690475759226j), (0.00048355513544962037+0.009752376797223405j), (0.0007120800659867754+0.016398953312872777j), (0.0010952506795689487+0.019415717340919514j), (0.0005859603682099035+0.009605189178707008j), (0.0006171995549300036+0.009591358334439803j), 8.881784197001252e-16j, (-1.9984014443252818e-15+4.440892098500626e-15j), 0j, (4.440892098500626e-16+0j), 0j, 8.881784197001252e-16j, (-4.440892098500626e-16+1.7763568394002505e-15j), -1.7763568394002505e-15j, (2.220446049250313e-16-8.881784197001252e-16j), (4.440892098500626e-16+1.7763568394002505e-15j), -1.7763568394002505e-15j, (8.881784197001252e-16-1.7763568394002505e-15j), (-3.552713678800501e-15-7.105427357601002e-15j), (3.552713678800501e-15-6.217248937900877e-15j), (2.220446049250313e-16+4.440892098500626e-16j), (2.7556339879275527e-05+0.00040575300010026183j), (8.881784197001252e-16+0j), 0j, (-1.1102230246251565e-16-1.1102230246251565e-15j), (0.0008261836306653336+0.014707142154422925j), 0j, 4.440892098500626e-16j]\n"
     ]
    }
   ],
   "source": [
    "\n",
    "I = []\n",
    "for n in range(len(sinj)):\n",
    "    I.append(np.sum([Ybus[n,j] * (vp[n]) for j in range(len(sinj))]))\n",
    "print(I)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "id": "6b93f25d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.00021965+0.00579172j, 0.00031934+0.00705791j,\n",
       "       0.00037028+0.00815336j, 0.00042075+0.00958341j,\n",
       "       0.00043256+0.00932689j, 0.00045597+0.00989055j,\n",
       "       0.00046019+0.00977006j, 0.00042671+0.0092055j ,\n",
       "       0.00042364+0.00914191j, 0.00042671+0.0092055j ,\n",
       "       0.00040116+0.00872215j, 0.00040116+0.00872215j,\n",
       "       0.00040523+0.00879631j, 0.00040836+0.00885336j,\n",
       "       0.00041073+0.00890077j, 0.00041981+0.00907046j,\n",
       "       0.00041369+0.00895412j, 0.00041685+0.00901367j,\n",
       "       0.00041854+0.00904573j, 0.00042487+0.00916128j,\n",
       "       0.00042523+0.00916682j, 0.0004177 +0.00902066j,\n",
       "       0.00043031+0.00924652j, 0.00044596+0.00953478j,\n",
       "       0.00044596+0.00953478j, 0.00045592+0.00971822j,\n",
       "       0.00047488+0.01006763j, 0.00045592+0.00971822j,\n",
       "       0.00045592+0.00971822j])"
      ]
     },
     "execution_count": 169,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bus = Bbus[1:, 1:]\n",
    "B_inv = inv(bus)\n",
    "Iarr = I[1:]\n",
    "thetas = B_inv.dot(Iarr)\n",
    "thetas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "id": "1e84a0d1",
   "metadata": {},
   "outputs": [],
   "source": [
    "from pypower.case30 import case30\n",
    "ppc = case30()\n",
    "# \\ mathcal { N }\n",
    "buses = ppc[\"bus\"][:,0] - 1 # -1 because python is 0 - indexed\n",
    "# \\ mathcal { G }\n",
    "generators = ppc[\"gen\"][:,0] - 1 # -1 because python is 0 - indexed\n",
    "non_generators = list(set(buses) - set(generators))\n",
    "demands = ppc[\"bus\"][:,[3]]\n",
    "g_low = ppc[\"gen\"][:,[9]] # returns only the limits for the generators indexed by the elements in generators .\n",
    "g_high = ppc[\"gen\"][:,[8]] # returns only the limits for the generators indexed by the elements in generators ."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 172,
   "id": "d1a756af",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PYPOWER Version 5.1.4, 27-June-2018 -- AC Optimal Power Flow\n",
      "Python Interior Point Solver - PIPS, Version 1.0, 07-Feb-2011\n",
      "Converged!\n",
      "\n",
      "Converged in 0.39 seconds\n",
      "Objective Function Value = 576.89 $/hr\n",
      "================================================================================\n",
      "|     System Summary                                                           |\n",
      "================================================================================\n",
      "\n",
      "How many?                How much?              P (MW)            Q (MVAr)\n",
      "---------------------    -------------------  -------------  -----------------\n",
      "Buses             30     Total Gen Capacity     335.0         -95.0 to 405.9\n",
      "Generators         6     On-line Capacity       335.0         -95.0 to 405.9\n",
      "Committed Gens     6     Generation (actual)    192.1             105.1\n",
      "Loads             20     Load                   189.2             107.2\n",
      "  Fixed           20       Fixed                189.2             107.2\n",
      "  Dispatchable     0       Dispatchable           0.0 of 0.0        0.0\n",
      "Shunts             2     Shunt (inj)             -0.0               0.2\n",
      "Branches          41     Losses (I^2 * Z)         2.86             13.33\n",
      "Transformers       0     Branch Charging (inj)     -               15.2\n",
      "Inter-ties         7     Total Inter-tie Flow    51.0              58.1\n",
      "Areas              3\n",
      "\n",
      "                          Minimum                      Maximum\n",
      "                 -------------------------  --------------------------------\n",
      "Voltage Magnitude   0.961 p.u. @ bus 8          1.069 p.u. @ bus 27  \n",
      "Voltage Angle      -5.69 deg   @ bus 19         0.00 deg   @ bus 1   \n",
      "P Losses (I^2*R)             -                  0.30 MW    @ line 2-6\n",
      "Q Losses (I^2*X)             -                  2.39 MVAr  @ line 28-27\n",
      "Lambda P            3.66 $/MWh @ bus 1          5.38 $/MWh @ bus 8   \n",
      "Lambda Q           -0.06 $/MWh @ bus 29         1.40 $/MWh @ bus 8   \n",
      "\n",
      "================================================================================\n",
      "|     Bus Data                                                                 |\n",
      "================================================================================\n",
      " Bus      Voltage          Generation             Load          Lambda($/MVA-hr)\n",
      "  #   Mag(pu) Ang(deg)   P (MW)   Q (MVAr)   P (MW)   Q (MVAr)     P        Q   \n",
      "----- ------- --------  --------  --------  --------  --------  -------  -------\n",
      "    1  0.982    0.000*    41.54     -5.44       -         -       3.662     -\n",
      "    2  0.979   -0.763     55.40      1.67     21.70     12.70     3.689     -\n",
      "    3  0.977   -2.390       -         -        2.40      1.20     3.754  -0.016\n",
      "    4  0.976   -2.839       -         -        7.60      1.60     3.771  -0.021\n",
      "    5  0.971   -2.486       -         -         -         -       3.744  -0.001\n",
      "    6  0.972   -3.229       -         -         -         -       3.779  -0.020\n",
      "    7  0.962   -3.491       -         -       22.80     10.90     3.801   0.003\n",
      "    8  0.961   -3.682       -         -       30.00     30.00     5.383   1.405\n",
      "    9  0.990   -4.137       -         -         -         -       3.823   0.020\n",
      "   10  1.000   -4.600       -         -        5.80      2.00     3.846   0.039\n",
      "   11  0.990   -4.137       -         -         -         -       3.823   0.020\n",
      "   12  1.017   -4.498       -         -       11.20      7.50     3.810     -\n",
      "   13  1.064   -3.298     16.20     35.93       -         -       3.810     -\n",
      "   14  1.007   -5.040       -         -        6.20      1.60     3.868   0.018\n",
      "   15  1.009   -4.814       -         -        8.20      2.50     3.856   0.018\n",
      "   16  1.003   -4.839       -         -        3.50      1.80     3.849   0.031\n",
      "   17  0.995   -4.887       -         -        9.00      5.80     3.862   0.047\n",
      "   18  0.993   -5.484       -         -        3.20      0.90     3.911   0.047\n",
      "   19  0.987   -5.688       -         -        9.50      3.40     3.926   0.058\n",
      "   20  0.990   -5.472       -         -        2.20      0.70     3.910   0.055\n",
      "   21  1.009   -4.621       -         -       17.50     11.20     3.854   0.017\n",
      "   22  1.016   -4.503     22.74     34.20       -         -       3.843     -\n",
      "   23  1.026   -3.756     16.27      6.96      3.20      1.60     3.813     -\n",
      "   24  1.017   -3.885       -         -        8.70      6.70     3.884   0.028\n",
      "   25  1.044   -2.072       -         -         -         -       3.932   0.022\n",
      "   26  1.027   -2.476       -         -        3.50      2.30     3.999   0.067\n",
      "   27  1.069   -0.715     39.91     31.75       -         -       3.916     -\n",
      "   28  0.982   -3.215       -         -         -         -       4.106   0.250\n",
      "   29  1.050   -1.849       -         -        2.40      0.90     3.966  -0.059\n",
      "   30  1.039   -2.643       -         -       10.60      1.90     4.051  -0.012\n",
      "                        --------  --------  --------  --------\n",
      "               Total:    192.06    105.08    189.20    107.20\n",
      "\n",
      "================================================================================\n",
      "|     Branch Data                                                              |\n",
      "================================================================================\n",
      "Brnch   From   To    From Bus Injection   To Bus Injection     Loss (I^2 * Z)  \n",
      "  #     Bus    Bus    P (MW)   Q (MVAr)   P (MW)   Q (MVAr)   P (MW)   Q (MVAr)\n",
      "-----  -----  -----  --------  --------  --------  --------  --------  --------\n",
      "   0      1      2     21.04     -2.34    -20.95     -0.27     0.092      0.28\n",
      "   1      1      3     20.50     -3.10    -20.28      2.02     0.220      0.84\n",
      "   2      2      4     18.63     -5.85    -18.40      4.60     0.232      0.66\n",
      "   3      3      4     17.88     -3.22    -17.84      3.36     0.035      0.14\n",
      "   4      2      5     14.36     -0.69    -14.25     -0.78     0.108      0.43\n",
      "   5      2      6     21.66     -4.21    -21.36      3.21     0.300      0.90\n",
      "   6      4      6     17.58      5.68    -17.54     -5.54     0.036      0.14\n",
      "   7      5      7     14.25      0.96    -14.15     -1.64     0.109      0.26\n",
      "   8      6      7      8.70      8.46     -8.65     -9.26     0.049      0.13\n",
      "   9      6      8     23.82     21.37    -23.71    -20.93     0.108      0.43\n",
      "  10      6      9      7.27     -8.27     -7.27      8.54    -0.000      0.27\n",
      "  11      6     10      4.15     -4.73     -4.15      4.96    -0.000      0.23\n",
      "  12      9     11      0.00     -0.00      0.00     -0.00    -0.000      0.00\n",
      "  13      9     10      7.27     -8.54     -7.27      8.68    -0.000      0.14\n",
      "  14      4     12     11.06    -15.24    -11.06     16.21    -0.000      0.97\n",
      "  15     12     13    -16.20    -34.01     16.20     35.93    -0.000      1.92\n",
      "  16     12     14      4.68      2.08     -4.65     -2.01     0.030      0.07\n",
      "  17     12     15      6.07      3.18     -6.04     -3.12     0.032      0.06\n",
      "  18     12     16      5.31      5.04     -5.26     -4.94     0.047      0.10\n",
      "  19     14     15     -1.55      0.41      1.55     -0.41     0.006      0.01\n",
      "  20     16     17      1.76      3.14     -1.75     -3.12     0.010      0.02\n",
      "  21     15     18      7.20      3.75     -7.13     -3.60     0.071      0.14\n",
      "  22     18     19      3.93      2.70     -3.92     -2.67     0.014      0.03\n",
      "  23     19     20     -5.58     -0.73      5.59      0.75     0.010      0.02\n",
      "  24     10     20      7.85      1.58     -7.79     -1.45     0.058      0.13\n",
      "  25     10     17      7.27      2.73     -7.25     -2.68     0.018      0.05\n",
      "  26     10     21     -4.43    -11.56      4.47     11.67     0.046      0.11\n",
      "  27     10     22     -5.06     -8.39      5.13      8.54     0.067      0.14\n",
      "  28     21     22    -21.97    -22.87     22.07     23.07     0.099      0.20\n",
      "  29     15     23    -10.92     -2.72     11.04      2.97     0.124      0.25\n",
      "  30     22     24     -4.46      2.59      4.49     -2.54     0.031      0.05\n",
      "  31     23     24      2.03      2.39     -2.01     -2.37     0.012      0.03\n",
      "  32     24     25    -11.18     -1.75     11.41      2.16     0.235      0.41\n",
      "  33     25     26      3.54      2.36     -3.50     -2.30     0.042      0.06\n",
      "  34     25     27    -14.96     -4.52     15.20      4.99     0.246      0.47\n",
      "  35     28     27    -11.45    -21.09     11.45     23.48    -0.000      2.39\n",
      "  36     27     29      6.16      1.65     -6.08     -1.50     0.078      0.15\n",
      "  37     27     30      7.10      1.63     -6.95     -1.36     0.149      0.28\n",
      "  38     29     30      3.68      0.60     -3.65     -0.54     0.030      0.06\n",
      "  39      8     28     -6.29     -9.07      6.36      7.41     0.069      0.23\n",
      "  40      6     28     -5.05    -14.50      5.09     13.68     0.047      0.14\n",
      "                                                             --------  --------\n",
      "                                                    Total:     2.860     13.33\n",
      "\n",
      "================================================================================\n",
      "|     Branch Flow Constraints                                                  |\n",
      "================================================================================\n",
      "Brnch   From     \"From\" End        Limit       \"To\" End        To\n",
      "  #     Bus   |Sf| mu    |Sf|     |Smax|     |St|    |St| mu   Bus\n",
      "-----  -----  -------  --------  --------  --------  -------  -----\n",
      "   9      6     2.387    32.00     32.00     31.63      -        8\n",
      "  34     25      -       15.62     16.00     16.00     0.024    27\n",
      "{'version': '2', 'baseMVA': 100.0, 'bus': array([[ 1.00000000e+00,  3.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.82372589e-01,  0.00000000e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.66168316e+00, -2.81227359e-08,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.00000000e+00,  2.00000000e+00,  2.17000000e+01,\n",
      "         1.27000000e+01,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.78717898e-01, -7.63014483e-01,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.10000000e+00,\n",
      "         9.50000000e-01,  3.68906485e+00, -1.30492809e-08,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 3.00000000e+00,  1.00000000e+00,  2.40000000e+00,\n",
      "         1.20000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.76918636e-01, -2.38970381e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.75416255e+00, -1.64164112e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 4.00000000e+00,  1.00000000e+00,  7.60000000e+00,\n",
      "         1.60000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.76435757e-01, -2.83858977e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.77087478e+00, -2.08502230e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 5.00000000e+00,  1.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  1.90000000e-01,\n",
      "         1.00000000e+00,  9.71266633e-01, -2.48635193e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.74436142e+00, -6.17190195e-04,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 6.00000000e+00,  1.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.72329232e-01, -3.22866283e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.77908916e+00, -1.97514841e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 7.00000000e+00,  1.00000000e+00,  2.28000000e+01,\n",
      "         1.09000000e+01,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.62304571e-01, -3.49097766e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.80081762e+00,  3.17538923e-03,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 8.00000000e+00,  1.00000000e+00,  3.00000000e+01,\n",
      "         3.00000000e+01,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.61119607e-01, -3.68188095e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  5.38274029e+00,  1.40458718e+00,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 9.00000000e+00,  1.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.90319931e-01, -4.13710537e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.82323439e+00,  1.98319173e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.00000000e+01,  1.00000000e+00,  5.80000000e+00,\n",
      "         2.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         3.00000000e+00,  9.99840257e-01, -4.59984863e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.84619789e+00,  3.94516741e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.10000000e+01,  1.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.90319931e-01, -4.13710537e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.82323439e+00,  1.98319251e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.20000000e+01,  1.00000000e+00,  1.12000000e+01,\n",
      "         7.50000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  1.01743901e+00, -4.49790579e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.81001012e+00,  7.98519975e-08,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.30000000e+01,  2.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  1.06447171e+00, -3.29796359e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.10000000e+00,\n",
      "         9.50000000e-01,  3.81001010e+00,  4.07812903e-08,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.40000000e+01,  1.00000000e+00,  6.20000000e+00,\n",
      "         1.60000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  1.00664630e+00, -5.03966738e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.86773576e+00,  1.80942949e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.50000000e+01,  1.00000000e+00,  8.20000000e+00,\n",
      "         2.50000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  1.00921251e+00, -4.81400839e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.85610138e+00,  1.79070442e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.60000000e+01,  1.00000000e+00,  3.50000000e+00,\n",
      "         1.80000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  1.00284389e+00, -4.83925434e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.84880189e+00,  3.09036778e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.70000000e+01,  1.00000000e+00,  9.00000000e+00,\n",
      "         5.80000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  9.95487023e-01, -4.88726713e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.86247927e+00,  4.73601938e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.80000000e+01,  1.00000000e+00,  3.20000000e+00,\n",
      "         9.00000000e-01,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  9.93259333e-01, -5.48430696e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.91115768e+00,  4.69268651e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.90000000e+01,  1.00000000e+00,  9.50000000e+00,\n",
      "         3.40000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  9.87349549e-01, -5.68819119e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.92622591e+00,  5.80490236e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.00000000e+01,  1.00000000e+00,  2.20000000e+00,\n",
      "         7.00000000e-01,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  9.89566405e-01, -5.47185094e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.91004207e+00,  5.49448661e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.10000000e+01,  1.00000000e+00,  1.75000000e+01,\n",
      "         1.12000000e+01,  0.00000000e+00,  0.00000000e+00,\n",
      "         3.00000000e+00,  1.00926587e+00, -4.62082020e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.85395981e+00,  1.65699593e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.20000000e+01,  2.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         3.00000000e+00,  1.01597777e+00, -4.50304693e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.10000000e+00,\n",
      "         9.50000000e-01,  3.84254149e+00,  7.00030220e-09,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.30000000e+01,  2.00000000e+00,  3.20000000e+00,\n",
      "         1.60000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  1.02558852e+00, -3.75571232e+00,\n",
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      "         9.50000000e-01,  3.81334761e+00, -1.31423272e-08,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.40000000e+01,  1.00000000e+00,  8.70000000e+00,\n",
      "         6.70000000e+00,  0.00000000e+00,  4.00000000e-02,\n",
      "         3.00000000e+00,  1.01671914e+00, -3.88522392e+00,\n",
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      "         9.50000000e-01,  3.88440574e+00,  2.75789046e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.50000000e+01,  1.00000000e+00,  0.00000000e+00,\n",
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      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.60000000e+01,  1.00000000e+00,  3.50000000e+00,\n",
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      "         3.00000000e+00,  1.02674003e+00, -2.47603773e+00,\n",
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      "         9.50000000e-01,  3.99869213e+00,  6.69181220e-02,\n",
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      "       [ 2.70000000e+01,  2.00000000e+00,  0.00000000e+00,\n",
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      "         3.00000000e+00,  1.06895177e+00, -7.14707853e-01,\n",
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      "         9.50000000e-01,  3.91568249e+00,  1.71694593e-08,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.80000000e+01,  1.00000000e+00,  0.00000000e+00,\n",
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      "         1.00000000e+00,  9.82021972e-01, -3.21524977e+00,\n",
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      "         9.50000000e-01,  4.10580162e+00,  2.50148320e-01,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.90000000e+01,  1.00000000e+00,  2.40000000e+00,\n",
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      "         9.50000000e-01,  3.96638805e+00, -5.88218531e-02,\n",
      "         2.98097095e+01,  0.00000000e+00],\n",
      "       [ 3.00000000e+01,  1.00000000e+00,  1.06000000e+01,\n",
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      "         3.00000000e+00,  1.03911349e+00, -2.64288945e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  4.05081016e+00, -1.16267860e-02,\n",
      "         0.00000000e+00,  0.00000000e+00]]), 'gen': array([[  1.        ,  41.5420791 ,  -5.43643303, 150.        ,\n",
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      "       [  2.        ,  55.4018527 ,   1.67475963,  60.        ,\n",
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      "       [ 22.        ,  22.74033193,  34.19706808,  62.5       ,\n",
      "        -15.        ,   1.01597777, 100.        ,   1.        ,\n",
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      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
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      "       [ 27.        ,  39.90902104,  31.75437594,  48.7       ,\n",
      "        -15.        ,   1.06895177, 100.        ,   1.        ,\n",
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      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ],\n",
      "       [ 23.        ,  16.26695207,   6.95984533,  40.        ,\n",
      "        -10.        ,   1.02558852, 100.        ,   1.        ,\n",
      "         30.        ,   0.        ,   0.        ,   0.        ,\n",
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      "       [ 13.        ,  16.20020223,  35.9303322 ,  44.7       ,\n",
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      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ]]), 'branch': array([[ 1.00000000e+00,  2.00000000e+00,  2.00000000e-02,\n",
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      "         1.30000000e+02,  1.30000000e+02,  0.00000000e+00,\n",
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      "       [ 1.00000000e+00,  3.00000000e+00,  5.00000000e-02,\n",
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      "       [ 2.00000000e+00,  4.00000000e+00,  6.00000000e-02,\n",
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      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 5.00000000e+00,  7.00000000e+00,  5.00000000e-02,\n",
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      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 6.00000000e+00,  7.00000000e+00,  3.00000000e-02,\n",
      "         8.00000000e-02,  1.00000000e-02,  1.30000000e+02,\n",
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      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
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      "        -8.65492449e+00, -9.26363191e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 6.00000000e+00,  8.00000000e+00,  1.00000000e-02,\n",
      "         4.00000000e-02,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
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      "       [ 6.00000000e+00,  9.00000000e+00,  0.00000000e+00,\n",
      "         2.10000000e-01,  0.00000000e+00,  6.50000000e+01,\n",
      "         6.50000000e+01,  6.50000000e+01,  0.00000000e+00,\n",
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      "         3.60000000e+02,  7.26986259e+00, -8.27231017e+00,\n",
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      "       [ 6.00000000e+00,  1.00000000e+01,  0.00000000e+00,\n",
      "         5.60000000e-01,  0.00000000e+00,  3.20000000e+01,\n",
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      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  4.15420720e+00, -4.72703438e+00,\n",
      "        -4.15420720e+00,  4.96160934e+00,  0.00000000e+00,\n",
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      "       [ 9.00000000e+00,  1.10000000e+01,  0.00000000e+00,\n",
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      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 9.00000000e+00,  1.00000000e+01,  0.00000000e+00,\n",
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      "         3.60000000e+02,  7.26986261e+00, -8.54170484e+00,\n",
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      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 4.00000000e+00,  1.20000000e+01,  0.00000000e+00,\n",
      "         2.60000000e-01,  0.00000000e+00,  6.50000000e+01,\n",
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      "       [ 1.20000000e+01,  1.30000000e+01,  0.00000000e+00,\n",
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      "       [ 1.20000000e+01,  1.40000000e+01,  1.20000000e-01,\n",
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      "         3.60000000e+02,  7.84845464e+00,  1.58246958e+00,\n",
      "        -7.79074399e+00, -1.44781141e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.00000000e+01,  1.70000000e+01,  3.00000000e-02,\n",
      "         8.00000000e-02,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  7.26557758e+00,  2.73173533e+00,\n",
      "        -7.24749650e+00, -2.68351913e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.00000000e+01,  2.10000000e+01,  3.00000000e-02,\n",
      "         7.00000000e-02,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -4.42872793e+00, -1.15648829e+01,\n",
      "         4.47475067e+00,  1.16722693e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.00000000e+01,  2.20000000e+01,  7.00000000e-02,\n",
      "         1.50000000e-01,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -5.06123428e+00, -8.39374771e+00,\n",
      "         5.12850554e+00,  8.53790040e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.10000000e+01,  2.20000000e+01,  1.00000000e-02,\n",
      "         2.00000000e-02,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -2.19747506e+01, -2.28722693e+01,\n",
      "         2.20735149e+01,  2.30697978e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.50000000e+01,  2.30000000e+01,  1.00000000e-01,\n",
      "         2.00000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -1.09167921e+01, -2.71676493e+00,\n",
      "         1.10410493e+01,  2.96527928e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.20000000e+01,  2.40000000e+01,  1.20000000e-01,\n",
      "         1.80000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -4.46168828e+00,  2.58936972e+00,\n",
      "         4.49262557e+00, -2.54296379e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.30000000e+01,  2.40000000e+01,  1.30000000e-01,\n",
      "         2.70000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  2.02590292e+00,  2.39456659e+00,\n",
      "        -2.01374347e+00, -2.36931234e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.40000000e+01,  2.50000000e+01,  1.90000000e-01,\n",
      "         3.30000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -1.11788819e+01, -1.74637520e+00,\n",
      "         1.14141809e+01,  2.15505236e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.50000000e+01,  2.60000000e+01,  2.50000000e-01,\n",
      "         3.80000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  3.54159572e+00,  2.36322549e+00,\n",
      "        -3.50000000e+00, -2.30000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.50000000e+01,  2.70000000e+01,  1.10000000e-01,\n",
      "         2.10000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -1.49557766e+01, -4.51827785e+00,\n",
      "         1.52022147e+01,  4.98875062e+00,  0.00000000e+00,\n",
      "         2.40275832e-02,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.80000000e+01,  2.70000000e+01,  0.00000000e+00,\n",
      "         4.00000000e-01,  0.00000000e+00,  6.50000000e+01,\n",
      "         6.50000000e+01,  6.50000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -1.14496697e+01, -2.10918559e+01,\n",
      "         1.14496697e+01,  2.34808271e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.70000000e+01,  2.90000000e+01,  2.20000000e-01,\n",
      "         4.20000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  6.15678877e+00,  1.65088191e+00,\n",
      "        -6.07855957e+00, -1.50153526e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.70000000e+01,  3.00000000e+01,  3.20000000e-01,\n",
      "         6.00000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  7.10034796e+00,  1.63391638e+00,\n",
      "        -6.95168510e+00, -1.35517350e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.90000000e+01,  3.00000000e+01,  2.40000000e-01,\n",
      "         4.50000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  3.67855957e+00,  6.01535256e-01,\n",
      "        -3.64831490e+00, -5.44826498e-01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 8.00000000e+00,  2.80000000e+01,  6.00000000e-02,\n",
      "         2.00000000e-01,  2.00000000e-02,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -6.28637627e+00, -9.06702356e+00,\n",
      "         6.35511650e+00,  7.40803961e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 6.00000000e+00,  2.80000000e+01,  2.00000000e-02,\n",
      "         6.00000000e-02,  1.00000000e-02,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -5.04755249e+00, -1.44977096e+01,\n",
      "         5.09455327e+00,  1.36838163e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00]]), 'areas': array([[ 1,  8],\n",
      "       [ 2, 23],\n",
      "       [ 3, 26]]), 'gencost': array([[2.     , 0.     , 0.     , 3.     , 0.02   , 2.     , 0.     ],\n",
      "       [2.     , 0.     , 0.     , 3.     , 0.0175 , 1.75   , 0.     ],\n",
      "       [2.     , 0.     , 0.     , 3.     , 0.0625 , 1.     , 0.     ],\n",
      "       [2.     , 0.     , 0.     , 3.     , 0.00834, 3.25   , 0.     ],\n",
      "       [2.     , 0.     , 0.     , 3.     , 0.025  , 3.     , 0.     ],\n",
      "       [2.     , 0.     , 0.     , 3.     , 0.025  , 3.     , 0.     ]]), 'order': {'bus': {'e2i': array([ 0.,  0.,  1.,  2.,  3.,  4.,  5.,  6.,  7.,  8.,  9., 10., 11.,\n",
      "       12., 13., 14., 15., 16., 17., 18., 19., 20., 21., 22., 23., 24.,\n",
      "       25., 26., 27., 28., 29.]), 'i2e': array([ 1.,  2.,  3.,  4.,  5.,  6.,  7.,  8.,  9., 10., 11., 12., 13.,\n",
      "       14., 15., 16., 17., 18., 19., 20., 21., 22., 23., 24., 25., 26.,\n",
      "       27., 28., 29., 30.]), 'status': {'on': array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,\n",
      "       17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29]), 'off': array([], dtype=int64)}}, 'gen': {'e2i': array([0, 1, 5, 2, 4, 3]), 'i2e': array([0, 1, 3, 5, 4, 2]), 'status': {'on': array([0, 1, 2, 3, 4, 5]), 'off': array([], dtype=int64)}}, 'branch': {'status': {'on': array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,\n",
      "       17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,\n",
      "       34, 35, 36, 37, 38, 39, 40]), 'off': array([], dtype=int64)}}, 'areas': {'status': {'on': array([0, 1, 2]), 'off': array([], dtype=int64)}}, 'state': 'e', 'int': {'bus': array([[ 0.00000000e+00,  3.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.82372589e-01,  0.00000000e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.66168316e+00, -2.81227359e-08,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.00000000e+00,  2.00000000e+00,  2.17000000e+01,\n",
      "         1.27000000e+01,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.78717898e-01, -7.63014483e-01,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.10000000e+00,\n",
      "         9.50000000e-01,  3.68906485e+00, -1.30492809e-08,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.00000000e+00,  1.00000000e+00,  2.40000000e+00,\n",
      "         1.20000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.76918636e-01, -2.38970381e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.75416255e+00, -1.64164112e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 3.00000000e+00,  1.00000000e+00,  7.60000000e+00,\n",
      "         1.60000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.76435757e-01, -2.83858977e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.77087478e+00, -2.08502230e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 4.00000000e+00,  1.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  1.90000000e-01,\n",
      "         1.00000000e+00,  9.71266633e-01, -2.48635193e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.74436142e+00, -6.17190195e-04,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 5.00000000e+00,  1.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.72329232e-01, -3.22866283e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.77908916e+00, -1.97514841e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 6.00000000e+00,  1.00000000e+00,  2.28000000e+01,\n",
      "         1.09000000e+01,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.62304571e-01, -3.49097766e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.80081762e+00,  3.17538923e-03,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 7.00000000e+00,  1.00000000e+00,  3.00000000e+01,\n",
      "         3.00000000e+01,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.61119607e-01, -3.68188095e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  5.38274029e+00,  1.40458718e+00,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 8.00000000e+00,  1.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.90319931e-01, -4.13710537e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.82323439e+00,  1.98319173e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 9.00000000e+00,  1.00000000e+00,  5.80000000e+00,\n",
      "         2.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         3.00000000e+00,  9.99840257e-01, -4.59984863e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.84619789e+00,  3.94516741e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.00000000e+01,  1.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.90319931e-01, -4.13710537e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.82323439e+00,  1.98319251e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.10000000e+01,  1.00000000e+00,  1.12000000e+01,\n",
      "         7.50000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  1.01743901e+00, -4.49790579e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.81001012e+00,  7.98519975e-08,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.20000000e+01,  2.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  1.06447171e+00, -3.29796359e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.10000000e+00,\n",
      "         9.50000000e-01,  3.81001010e+00,  4.07812903e-08,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.30000000e+01,  1.00000000e+00,  6.20000000e+00,\n",
      "         1.60000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  1.00664630e+00, -5.03966738e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.86773576e+00,  1.80942949e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.40000000e+01,  1.00000000e+00,  8.20000000e+00,\n",
      "         2.50000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  1.00921251e+00, -4.81400839e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.85610138e+00,  1.79070442e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.50000000e+01,  1.00000000e+00,  3.50000000e+00,\n",
      "         1.80000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  1.00284389e+00, -4.83925434e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.84880189e+00,  3.09036778e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.60000000e+01,  1.00000000e+00,  9.00000000e+00,\n",
      "         5.80000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  9.95487023e-01, -4.88726713e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.86247927e+00,  4.73601938e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.70000000e+01,  1.00000000e+00,  3.20000000e+00,\n",
      "         9.00000000e-01,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  9.93259333e-01, -5.48430696e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.91115768e+00,  4.69268651e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.80000000e+01,  1.00000000e+00,  9.50000000e+00,\n",
      "         3.40000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  9.87349549e-01, -5.68819119e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.92622591e+00,  5.80490236e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.90000000e+01,  1.00000000e+00,  2.20000000e+00,\n",
      "         7.00000000e-01,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  9.89566405e-01, -5.47185094e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.91004207e+00,  5.49448661e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.00000000e+01,  1.00000000e+00,  1.75000000e+01,\n",
      "         1.12000000e+01,  0.00000000e+00,  0.00000000e+00,\n",
      "         3.00000000e+00,  1.00926587e+00, -4.62082020e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.85395981e+00,  1.65699593e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.10000000e+01,  2.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         3.00000000e+00,  1.01597777e+00, -4.50304693e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.10000000e+00,\n",
      "         9.50000000e-01,  3.84254149e+00,  7.00030220e-09,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.20000000e+01,  2.00000000e+00,  3.20000000e+00,\n",
      "         1.60000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         2.00000000e+00,  1.02558852e+00, -3.75571232e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.10000000e+00,\n",
      "         9.50000000e-01,  3.81334761e+00, -1.31423272e-08,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.30000000e+01,  1.00000000e+00,  8.70000000e+00,\n",
      "         6.70000000e+00,  0.00000000e+00,  4.00000000e-02,\n",
      "         3.00000000e+00,  1.01671914e+00, -3.88522392e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.88440574e+00,  2.75789046e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.40000000e+01,  1.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         3.00000000e+00,  1.04380043e+00, -2.07239679e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.93204814e+00,  2.24481401e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.50000000e+01,  1.00000000e+00,  3.50000000e+00,\n",
      "         2.30000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         3.00000000e+00,  1.02674003e+00, -2.47603773e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.99869213e+00,  6.69181220e-02,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.60000000e+01,  2.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         3.00000000e+00,  1.06895177e+00, -7.14707853e-01,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.10000000e+00,\n",
      "         9.50000000e-01,  3.91568249e+00,  1.71694593e-08,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.70000000e+01,  1.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         1.00000000e+00,  9.82021972e-01, -3.21524977e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  4.10580162e+00,  2.50148320e-01,\n",
      "         0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.80000000e+01,  1.00000000e+00,  2.40000000e+00,\n",
      "         9.00000000e-01,  0.00000000e+00,  0.00000000e+00,\n",
      "         3.00000000e+00,  1.04999998e+00, -1.84939495e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  3.96638805e+00, -5.88218531e-02,\n",
      "         2.98097095e+01,  0.00000000e+00],\n",
      "       [ 2.90000000e+01,  1.00000000e+00,  1.06000000e+01,\n",
      "         1.90000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
      "         3.00000000e+00,  1.03911349e+00, -2.64288945e+00,\n",
      "         1.35000000e+02,  1.00000000e+00,  1.05000000e+00,\n",
      "         9.50000000e-01,  4.05081016e+00, -1.16267860e-02,\n",
      "         0.00000000e+00,  0.00000000e+00]]), 'branch': array([[ 0.00000000e+00,  1.00000000e+00,  2.00000000e-02,\n",
      "         6.00000000e-02,  3.00000000e-02,  1.30000000e+02,\n",
      "         1.30000000e+02,  1.30000000e+02,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  2.10431162e+01, -2.33608499e+00,\n",
      "        -2.09511833e+01, -2.72533104e-01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 0.00000000e+00,  2.00000000e+00,  5.00000000e-02,\n",
      "         1.90000000e-01,  2.00000000e-02,  1.30000000e+02,\n",
      "         1.30000000e+02,  1.30000000e+02,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  2.04989628e+01, -3.10034809e+00,\n",
      "        -2.02788891e+01,  2.01720243e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.00000000e+00,  3.00000000e+00,  6.00000000e-02,\n",
      "         1.70000000e-01,  2.00000000e-02,  6.50000000e+01,\n",
      "         6.50000000e+01,  6.50000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  1.86326482e+01, -5.85143814e+00,\n",
      "        -1.84001855e+01,  4.59876707e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.00000000e+00,  3.00000000e+00,  1.00000000e-02,\n",
      "         4.00000000e-02,  0.00000000e+00,  1.30000000e+02,\n",
      "         1.30000000e+02,  1.30000000e+02,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  1.78788891e+01, -3.21720243e+00,\n",
      "        -1.78443108e+01,  3.35551568e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.00000000e+00,  4.00000000e+00,  5.00000000e-02,\n",
      "         2.00000000e-01,  2.00000000e-02,  1.30000000e+02,\n",
      "         1.30000000e+02,  1.30000000e+02,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  1.43615507e+01, -6.86953007e-01,\n",
      "        -1.42538516e+01, -7.83498110e-01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.00000000e+00,  5.00000000e+00,  6.00000000e-02,\n",
      "         1.80000000e-01,  2.00000000e-02,  6.50000000e+01,\n",
      "         6.50000000e+01,  6.50000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  2.16588370e+01, -4.21431625e+00,\n",
      "        -2.13583577e+01,  3.21244126e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 3.00000000e+00,  5.00000000e+00,  1.00000000e-02,\n",
      "         4.00000000e-02,  0.00000000e+00,  9.00000000e+01,\n",
      "         9.00000000e+01,  9.00000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  1.75801826e+01,  5.68435611e+00,\n",
      "        -1.75443776e+01, -5.54113600e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 4.00000000e+00,  6.00000000e+00,  5.00000000e-02,\n",
      "         1.20000000e-01,  1.00000000e-02,  7.00000000e+01,\n",
      "         7.00000000e+01,  7.00000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  1.42538516e+01,  9.62736299e-01,\n",
      "        -1.41450755e+01, -1.63636809e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 5.00000000e+00,  6.00000000e+00,  3.00000000e-02,\n",
      "         8.00000000e-02,  1.00000000e-02,  1.30000000e+02,\n",
      "         1.30000000e+02,  1.30000000e+02,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  8.70428312e+00,  8.45952780e+00,\n",
      "        -8.65492449e+00, -9.26363191e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 5.00000000e+00,  7.00000000e+00,  1.00000000e-02,\n",
      "         4.00000000e-02,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  2.38219349e+01,  2.13662211e+01,\n",
      "        -2.37136237e+01, -2.09329764e+01,  2.38677088e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 5.00000000e+00,  8.00000000e+00,  0.00000000e+00,\n",
      "         2.10000000e-01,  0.00000000e+00,  6.50000000e+01,\n",
      "         6.50000000e+01,  6.50000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  7.26986259e+00, -8.27231017e+00,\n",
      "        -7.26986259e+00,  8.54170486e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 5.00000000e+00,  9.00000000e+00,  0.00000000e+00,\n",
      "         5.60000000e-01,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  4.15420720e+00, -4.72703438e+00,\n",
      "        -4.15420720e+00,  4.96160934e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 8.00000000e+00,  1.00000000e+01,  0.00000000e+00,\n",
      "         2.10000000e-01,  0.00000000e+00,  6.50000000e+01,\n",
      "         6.50000000e+01,  6.50000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  0.00000000e+00, -0.00000000e+00,\n",
      "         0.00000000e+00, -0.00000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 8.00000000e+00,  9.00000000e+00,  0.00000000e+00,\n",
      "         1.10000000e-01,  0.00000000e+00,  6.50000000e+01,\n",
      "         6.50000000e+01,  6.50000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  7.26986261e+00, -8.54170484e+00,\n",
      "        -7.26986261e+00,  8.68281634e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 3.00000000e+00,  1.10000000e+01,  0.00000000e+00,\n",
      "         2.60000000e-01,  0.00000000e+00,  6.50000000e+01,\n",
      "         6.50000000e+01,  6.50000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  1.10643136e+01, -1.52386388e+01,\n",
      "        -1.10643136e+01,  1.62057308e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.10000000e+01,  1.20000000e+01,  0.00000000e+00,\n",
      "         1.40000000e-01,  0.00000000e+00,  6.50000000e+01,\n",
      "         6.50000000e+01,  6.50000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -1.62002017e+01, -3.40109946e+01,\n",
      "         1.62002017e+01,  3.59303400e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.10000000e+01,  1.30000000e+01,  1.20000000e-01,\n",
      "         2.60000000e-01,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  4.68426945e+00,  2.07907175e+00,\n",
      "        -4.65382273e+00, -2.01310385e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.10000000e+01,  1.40000000e+01,  7.00000000e-02,\n",
      "         1.30000000e-01,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  6.07078884e+00,  3.18157060e+00,\n",
      "        -6.03902264e+00, -3.12257622e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.10000000e+01,  1.50000000e+01,  9.00000000e-02,\n",
      "         2.00000000e-01,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  5.30945697e+00,  5.04462191e+00,\n",
      "        -5.26282296e+00, -4.94099079e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.30000000e+01,  1.40000000e+01,  2.20000000e-01,\n",
      "         2.00000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -1.54617722e+00,  4.13103891e-01,\n",
      "         1.55173795e+00, -4.08048674e-01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.50000000e+01,  1.60000000e+01,  8.00000000e-02,\n",
      "         1.90000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  1.76282324e+00,  3.14099071e+00,\n",
      "        -1.75250333e+00, -3.11648091e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.40000000e+01,  1.70000000e+01,  1.10000000e-01,\n",
      "         2.20000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  7.20407708e+00,  3.74738969e+00,\n",
      "        -7.13285949e+00, -3.60495451e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.70000000e+01,  1.80000000e+01,  6.00000000e-02,\n",
      "         1.30000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  3.93285959e+00,  2.70495447e+00,\n",
      "        -3.91900292e+00, -2.67493167e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.80000000e+01,  1.90000000e+01,  3.00000000e-02,\n",
      "         7.00000000e-02,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -5.58099700e+00, -7.25068348e-01,\n",
      "         5.59074403e+00,  7.47811404e-01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 9.00000000e+00,  1.90000000e+01,  9.00000000e-02,\n",
      "         2.10000000e-01,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  7.84845464e+00,  1.58246958e+00,\n",
      "        -7.79074399e+00, -1.44781141e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 9.00000000e+00,  1.60000000e+01,  3.00000000e-02,\n",
      "         8.00000000e-02,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  7.26557758e+00,  2.73173533e+00,\n",
      "        -7.24749650e+00, -2.68351913e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 9.00000000e+00,  2.00000000e+01,  3.00000000e-02,\n",
      "         7.00000000e-02,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -4.42872793e+00, -1.15648829e+01,\n",
      "         4.47475067e+00,  1.16722693e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 9.00000000e+00,  2.10000000e+01,  7.00000000e-02,\n",
      "         1.50000000e-01,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -5.06123428e+00, -8.39374771e+00,\n",
      "         5.12850554e+00,  8.53790040e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.00000000e+01,  2.10000000e+01,  1.00000000e-02,\n",
      "         2.00000000e-02,  0.00000000e+00,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -2.19747506e+01, -2.28722693e+01,\n",
      "         2.20735149e+01,  2.30697978e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 1.40000000e+01,  2.20000000e+01,  1.00000000e-01,\n",
      "         2.00000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -1.09167921e+01, -2.71676493e+00,\n",
      "         1.10410493e+01,  2.96527928e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.10000000e+01,  2.30000000e+01,  1.20000000e-01,\n",
      "         1.80000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -4.46168828e+00,  2.58936972e+00,\n",
      "         4.49262557e+00, -2.54296379e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.20000000e+01,  2.30000000e+01,  1.30000000e-01,\n",
      "         2.70000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  2.02590292e+00,  2.39456659e+00,\n",
      "        -2.01374347e+00, -2.36931234e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.30000000e+01,  2.40000000e+01,  1.90000000e-01,\n",
      "         3.30000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -1.11788819e+01, -1.74637520e+00,\n",
      "         1.14141809e+01,  2.15505236e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.40000000e+01,  2.50000000e+01,  2.50000000e-01,\n",
      "         3.80000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  3.54159572e+00,  2.36322549e+00,\n",
      "        -3.50000000e+00, -2.30000000e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.40000000e+01,  2.60000000e+01,  1.10000000e-01,\n",
      "         2.10000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -1.49557766e+01, -4.51827785e+00,\n",
      "         1.52022147e+01,  4.98875062e+00,  0.00000000e+00,\n",
      "         2.40275832e-02,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.70000000e+01,  2.60000000e+01,  0.00000000e+00,\n",
      "         4.00000000e-01,  0.00000000e+00,  6.50000000e+01,\n",
      "         6.50000000e+01,  6.50000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -1.14496697e+01, -2.10918559e+01,\n",
      "         1.14496697e+01,  2.34808271e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.60000000e+01,  2.80000000e+01,  2.20000000e-01,\n",
      "         4.20000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  6.15678877e+00,  1.65088191e+00,\n",
      "        -6.07855957e+00, -1.50153526e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.60000000e+01,  2.90000000e+01,  3.20000000e-01,\n",
      "         6.00000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  7.10034796e+00,  1.63391638e+00,\n",
      "        -6.95168510e+00, -1.35517350e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 2.80000000e+01,  2.90000000e+01,  2.40000000e-01,\n",
      "         4.50000000e-01,  0.00000000e+00,  1.60000000e+01,\n",
      "         1.60000000e+01,  1.60000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02,  3.67855957e+00,  6.01535256e-01,\n",
      "        -3.64831490e+00, -5.44826498e-01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 7.00000000e+00,  2.70000000e+01,  6.00000000e-02,\n",
      "         2.00000000e-01,  2.00000000e-02,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -6.28637627e+00, -9.06702356e+00,\n",
      "         6.35511650e+00,  7.40803961e+00,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
      "       [ 5.00000000e+00,  2.70000000e+01,  2.00000000e-02,\n",
      "         6.00000000e-02,  1.00000000e-02,  3.20000000e+01,\n",
      "         3.20000000e+01,  3.20000000e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  1.00000000e+00, -3.60000000e+02,\n",
      "         3.60000000e+02, -5.04755249e+00, -1.44977096e+01,\n",
      "         5.09455327e+00,  1.36838163e+01,  0.00000000e+00,\n",
      "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00]]), 'gen': array([[  0.        ,  41.5420791 ,  -5.43643303, 150.        ,\n",
      "        -20.        ,   0.98237259, 100.        ,   1.        ,\n",
      "         80.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ],\n",
      "       [  1.        ,  55.4018527 ,   1.67475963,  60.        ,\n",
      "        -20.        ,   0.9787179 , 100.        ,   1.        ,\n",
      "         80.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ],\n",
      "       [ 12.        ,  16.20020223,  35.9303322 ,  44.7       ,\n",
      "        -15.        ,   1.06447171, 100.        ,   1.        ,\n",
      "         40.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ],\n",
      "       [ 21.        ,  22.74033193,  34.19706808,  62.5       ,\n",
      "        -15.        ,   1.01597777, 100.        ,   1.        ,\n",
      "         50.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ],\n",
      "       [ 22.        ,  16.26695207,   6.95984533,  40.        ,\n",
      "        -10.        ,   1.02558852, 100.        ,   1.        ,\n",
      "         30.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ],\n",
      "       [ 26.        ,  39.90902104,  31.75437594,  48.7       ,\n",
      "        -15.        ,   1.06895177, 100.        ,   1.        ,\n",
      "         55.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ,   0.        ,   0.        ,   0.        ,\n",
      "          0.        ]]), 'gencost': array([[2.     , 0.     , 0.     , 3.     , 0.02   , 2.     , 0.     ],\n",
      "       [2.     , 0.     , 0.     , 3.     , 0.0175 , 1.75   , 0.     ],\n",
      "       [2.     , 0.     , 0.     , 3.     , 0.025  , 3.     , 0.     ],\n",
      "       [2.     , 0.     , 0.     , 3.     , 0.0625 , 1.     , 0.     ],\n",
      "       [2.     , 0.     , 0.     , 3.     , 0.025  , 3.     , 0.     ],\n",
      "       [2.     , 0.     , 0.     , 3.     , 0.00834, 3.25   , 0.     ]]), 'areas': array([[ 1,  7],\n",
      "       [ 2, 22],\n",
      "       [ 3, 25]])}}, 'om': \n",
      "VARIABLES               name       i1       iN        N\n",
      "=========              ------    -----    -----   ------\n",
      "              0:          Va        0       30       30\n",
      "              1:          Vm       30       60       30\n",
      "              2:          Pg       60       66        6\n",
      "              3:          Qg       66       72        6\n",
      "  var['NS'] = 4                  var['N'] = 72\n",
      "\n",
      "\n",
      "NON-LINEAR CONSTRAINTS  name       i1       iN        N\n",
      "====================== ------    -----    -----   ------\n",
      "              0:        Pmis        0       30       30\n",
      "              1:        Qmis       30       60       30\n",
      "              2:          Sf       60      101       41\n",
      "              3:          St      101      142       41\n",
      "     nln.NS = 4                    nln.N = 142\n",
      "\n",
      "\n",
      "LINEAR CONSTRAINTS      name       i1       iN        N\n",
      "==================     ------    -----    -----   ------\n",
      "              0:         PQh        0        0        0\n",
      "              1:         PQl        0        0        0\n",
      "              2:          vl        0        0        0\n",
      "              3:         ang        0        0        0\n",
      "     lin.NS = 4                      lin.N = 0\n",
      "\n",
      "COSTS  :  <none>\n",
      "  userdata = \n",
      "{'Apqdata': {'h': array([], dtype=float64), 'l': array([], dtype=float64), 'ipql': array([], dtype=int64), 'ipqh': array([], dtype=int64)}, 'iang': array([], dtype=int64)}, 'x': array([ 0.        , -0.01331711, -0.0417082 , -0.04954274, -0.04339503,\n",
      "       -0.0563508 , -0.06092905, -0.06426095, -0.07220611, -0.0802825 ,\n",
      "       -0.07220611, -0.07850327, -0.05756032, -0.08795879, -0.0840203 ,\n",
      "       -0.08446092, -0.0852989 , -0.09571921, -0.09927766, -0.09550182,\n",
      "       -0.08064853, -0.078593  , -0.06554955, -0.06780995, -0.03617015,\n",
      "       -0.04321501, -0.01247401, -0.05611669, -0.03227803, -0.04612712,\n",
      "        0.98237259,  0.9787179 ,  0.97691864,  0.97643576,  0.97126663,\n",
      "        0.97232923,  0.96230457,  0.96111961,  0.99031993,  0.99984026,\n",
      "        0.99031993,  1.01743901,  1.06447171,  1.0066463 ,  1.00921251,\n",
      "        1.00284389,  0.99548702,  0.99325933,  0.98734955,  0.98956641,\n",
      "        1.00926587,  1.01597777,  1.02558852,  1.01671914,  1.04380043,\n",
      "        1.02674003,  1.06895177,  0.98202197,  1.04999998,  1.03911349,\n",
      "        0.41542079,  0.55401853,  0.16200202,  0.22740332,  0.16266952,\n",
      "        0.39909021, -0.05436433,  0.0167476 ,  0.35930332,  0.34197068,\n",
      "        0.06959845,  0.31754376]), 'mu': {'var': {'l': array([7.55502843e-09, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00]), 'u': array([ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ,  0.        , 29.80970952,  0.        ,\n",
      "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
      "        0.        ,  0.        ])}, 'nln': {'l': array([0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 2.81227359e-06, 1.30492809e-06,\n",
      "       1.64164112e+00, 2.08502230e+00, 6.17190195e-02, 1.97514841e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       1.31423272e-06, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 5.88218531e+00, 1.16267860e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
      "       0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n",
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      "        0.00000000e+00,  0.00000000e+00]), 'info': True, 'output': {'iterations': 15, 'hist': [{'feascond': 0.4501417286245352, 'gradcond': 106.81599659211427, 'compcond': 85.20965224356023, 'costcond': 0.0, 'gamma': 1, 'stepsize': 0, 'obj': 490.369625, 'alphap': 0, 'alphad': 0}, {'feascond': 0.02851434763838143, 'gradcond': 19.116288611423478, 'compcond': 33.30012353686245, 'costcond': 0.0073150245553325055, 'gamma': 0.04279559086311394, 'stepsize': 0.8353284657312723, 'obj': 567.1069364013892, 'alphap': 0.9122148795348657, 'alphad': 1}, {'feascond': 0.003291341131469371, 'gradcond': 0.3089808877060925, 'compcond': 7.656757404561939, 'costcond': 0.001582328419617607, 'gamma': 0.00944520346228916, 'stepsize': 0.5169012183883859, 'obj': 583.8275700199955, 'alphap': 0.9484290787499949, 'alphad': 0.9622436408445469}, {'feascond': 0.0020853813193820897, 'gradcond': 0.7666729608769113, 'compcond': 2.934890642171085, 'costcond': 0.0008077194797398331, 'gamma': 0.00364645396377815, 'stepsize': 0.2626435773942163, 'obj': 592.3763337185081, 'alphap': 0.9271798325094426, 'alphad': 0.6847349278877721}, {'feascond': 0.00023117445657149465, 'gradcond': 0.43778153567688644, 'compcond': 1.479902449118167, 'costcond': 0.0008014966521108464, 'gamma': 0.0018372120782560754, 'stepsize': 0.12880709563962298, 'obj': 600.8660878878817, 'alphap': 1, 'alphad': 0.545004526038071}, {'feascond': 1.507545764860376e-05, 'gradcond': 0.23095103315927976, 'compcond': 0.18641332760486187, 'costcond': 5.6987203922112935e-05, 'gamma': 0.00023134375556565291, 'stepsize': 0.028967180116875824, 'obj': 600.2619741703802, 'alphap': 1, 'alphad': 0.9739637452605985}, {'feascond': 8.702420208660544e-05, 'gradcond': 0.21620410971931744, 'compcond': 0.029111193915925117, 'costcond': 0.0003697121430119102, 'gamma': 3.612117253903742e-05, 'stepsize': 0.05482523646847462, 'obj': 596.3429285994221, 'alphap': 1, 'alphad': 0.9373622795899031}, {'feascond': 0.0004724834578776891, 'gradcond': 0.12338741093210265, 'compcond': 0.007446171819439649, 'costcond': 0.0011800005687961502, 'gamma': 9.247597004627005e-06, 'stepsize': 0.18250373077095094, 'obj': 583.8392379165157, 'alphap': 1, 'alphad': 0.8321001144102163}, {'feascond': 0.00045988682784670466, 'gradcond': 0.06845704210306532, 'compcond': 0.001415703808903255, 'costcond': 0.000483598698587118, 'gamma': 1.760293625295106e-06, 'stepsize': 0.16194392558618648, 'obj': 578.720907035004, 'alphap': 1, 'alphad': 0.9238037218488189}, {'feascond': 0.00023104337552285156, 'gradcond': 0.02539777893737118, 'compcond': 0.0005189494427659185, 'costcond': 0.0001401558183130543, 'gamma': 6.475112035062746e-07, 'stepsize': 0.10999198735048228, 'obj': 577.238237749573, 'alphap': 1, 'alphad': 0.7141731186201107}, {'feascond': 4.08365928591017e-05, 'gradcond': 0.005763805663996051, 'compcond': 6.738475583723841e-05, 'costcond': 2.176785324933694e-05, 'gamma': 8.416348194512453e-08, 'stepsize': 0.04903740752297751, 'obj': 577.0079939798304, 'alphap': 1, 'alphad': 1}, {'feascond': 2.8159838674189445e-05, 'gradcond': 0.0010263611736130592, 'compcond': 1.412370896653522e-05, 'costcond': 1.0263929931903957e-05, 'gamma': 1.7609055279935184e-08, 'stepsize': 0.03271250726407735, 'obj': 576.899432310891, 'alphap': 1, 'alphad': 0.8987808089013214}, {'feascond': 8.196623786882619e-06, 'gradcond': 7.816045065866529e-05, 'compcond': 2.52793401771836e-06, 'costcond': 5.494272088443882e-07, 'gamma': 3.1506909763810987e-09, 'stepsize': 0.013723610006692602, 'obj': 576.8936210745577, 'alphap': 1, 'alphad': 0.9270395511866864}, {'feascond': 2.112893210012462e-06, 'gradcond': 7.729962586423766e-06, 'compcond': 2.9733707787100697e-07, 'costcond': 1.052174891892869e-07, 'gamma': 3.705877877902201e-10, 'stepsize': 0.006177862620854611, 'obj': 576.8925082003675, 'alphap': 1, 'alphad': 1}, {'feascond': 3.587070617766462e-07, 'gradcond': 1.4042581871335922e-06, 'compcond': 3.637802279339857e-08, 'costcond': 1.5300791684810834e-08, 'gamma': 4.533998232707795e-11, 'stepsize': 0.002582952197498667, 'obj': 576.8923463655385, 'alphap': 1, 'alphad': 1}, {'feascond': 2.8979547346165987e-08, 'gradcond': 1.5146704396753287e-07, 'compcond': 4.2211960651058845e-09, 'costcond': 9.612947945346818e-10, 'gamma': 5.261115102378873e-12, 'stepsize': 0.000754064880453282, 'obj': 576.892336198027, 'alphap': 1, 'alphad': 1}], 'message': 'Converged', 'alg': 560}}}\n"
     ]
    }
   ],
   "source": [
    "import pypower\n",
    "\n",
    "from pypower.api import runopf, runpf\n",
    "print(pypower.api.runopf(ppc))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 200,
   "id": "a54f3272",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gens:\n",
      "Voltage Phase Angles: None\n",
      "Objective: 1.4141992796711362e-10\n"
     ]
    }
   ],
   "source": [
    "denseBbus = Bbus.todense()\n",
    "BbusGen = np.zeros ((6,30) )\n",
    "BbusNonGen = np.zeros((24,30) )\n",
    "demandsGen = np.zeros ( (6,1))\n",
    "demandsNonGen = np.zeros ((24,1))\n",
    "\n",
    "import cvxpy as cp\n",
    "gens = cp.Variable(shape=(len (generators),1))\n",
    "non_gens = cp.Variable(shape=(len(non_generators),1))\n",
    "theta = cp.Variable(shape=(30,1))\n",
    "objective = cp.Minimize(cp. sum(gens) + cp. sum (non_gens))\n",
    "constraints = [\n",
    "gens >= g_low,\n",
    "gens <= g_high,\n",
    "non_gens == 0]\n",
    "problem = cp.Problem(objective, constraints)\n",
    "problem.solve (gp=False)\n",
    "print ( 'Gens:')\n",
    "(gens.value)\n",
    "print (('Voltage Phase Angles:'), theta.value)\n",
    "print ('Objective:', problem. value)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8e7794af",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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