{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "One Machine against Infinite Bus (OMIB) simulation with [PowerSimulationsDynamics.jl](https://github.com/NREL-SIIP/PowerSimulationsDynamics.jl)"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "**Originally Contributed by**: Rodrigo Henriquez and José Daniel Lara"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "# Introduction"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "This tutorial will introduce you to the functionality of `PowerSimulationsDynamics`\n",
    "for running power system dynamic simulations."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "This tutorial presents a simulation of a two-bus system with an infinite bus\n",
    "(represented as a voltage source behind an impedance) at bus 1, and a classic\n",
    "machine on bus 2. The perturbation will be the trip of one of the two circuits\n",
    "(doubling its resistance and impedance) of the line that connects both buses."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Dependencies"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ Info: Precompiling PowerSimulationsDynamics [398b2ede-47ed-4edc-b52e-69e4a48b4336]\n",
      "[ Info: Precompiling Sundials [c3572dad-4567-51f8-b174-8c6c989267f4]\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plots.GRBackend()"
     },
     "metadata": {},
     "execution_count": 1
    }
   ],
   "cell_type": "code",
   "source": [
    "using SIIPExamples #hide\n",
    "using PowerSimulationsDynamics\n",
    "PSID = PowerSimulationsDynamics\n",
    "using PowerSystems\n",
    "using Sundials\n",
    "using Plots\n",
    "gr()"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "`PowerSystems` (abbreviated with `PSY`) is used to properly define the data structure and establish an equilibrium\n",
    "point initial condition with a power flow routine, while `Sundials` is\n",
    "used to solve the problem defined in `PowerSimulationsDynamics`."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Load the system\n",
    "_The following command requires that you have executed the\n",
    "[dynamic systems data example](../../notebook/2_PowerSystems_examples/09_loading_dynamic_systems_data.jl.ipynb)\n",
    "previously to generate the json file._"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ Info: Loaded time series from storage file existing=omib_sys_time_series_storage.h5 new=/var/folders/27/2jr8c7gn4j72fvrg4qt81zrw8w_711/T/jl_CJpTN1\n",
      "┌ Warning: struct DynamicGenerator does not exist in validation configuration file, validation skipped\n",
      "└ @ InfrastructureSystems ~/.julia/packages/InfrastructureSystems/v75Hd/src/validation.jl:51\n",
      "┌ Warning: struct DynamicGenerator does not exist in validation configuration file, validation skipped\n",
      "└ @ InfrastructureSystems ~/.julia/packages/InfrastructureSystems/v75Hd/src/validation.jl:51\n",
      "┌ Warning: There are no ElectricLoad Components in the System\n",
      "└ @ PowerSystems ~/.julia/packages/PowerSystems/4kGrw/src/utils/IO/system_checks.jl:56\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "System\n======\nSystem Units Base: SYSTEM_BASE\nBase Power: 100.0\nBase Frequency: 60.0\n\nComponents\n==========\nNum components: 10\n\n\u001b[1m8×3 DataFrame\u001b[0m\n\u001b[1m Row \u001b[0m│\u001b[1m ConcreteType                      \u001b[0m\u001b[1m SuperTypes                        \u001b[0m\u001b[1m C\u001b[0m ⋯\n\u001b[1m     \u001b[0m│\u001b[90m String                            \u001b[0m\u001b[90m String                            \u001b[0m\u001b[90m I\u001b[0m ⋯\n─────┼──────────────────────────────────────────────────────────────────────────\n   1 │ Arc                                Topology <: Component <: Infrast…    ⋯\n   2 │ Area                               AggregationTopology <: Topology …\n   3 │ Bus                                Topology <: Component <: Infrast…\n   4 │ DynamicGenerator{BaseMachine,Sin…  DynamicInjection <: Device <: Co…\n   5 │ Line                               ACBranch <: Branch <: Device <: …    ⋯\n   6 │ LoadZone                           AggregationTopology <: Topology …\n   7 │ Source                             StaticInjection <: Device <: Com…\n   8 │ ThermalStandard                    ThermalGen <: Generator <: Stati…\n\u001b[36m                                                                1 column omitted\u001b[0m\n\nTimeSeriesContainer\n===================\nComponents with time series data: 0\nTotal StaticTimeSeries: 0\nTotal Forecasts: 0\n",
      "text/html": [
       "<h1>System</h1>\n",
       "<p><b>Base Power</b>: 100.0</p>\n",
       "<h2>Components</h2>\n",
       "<p><b>Num components</b>: 10</p>\n",
       "<table class=\"data-frame\"><thead><tr><th></th><th>ConcreteType</th><th>SuperTypes</th></tr><tr><th></th><th>String</th><th>String</th></tr></thead><tbody><p>8 rows × 3 columns (omitted printing of 1 columns)</p><tr><th>1</th><td>Arc</td><td>Topology &lt;: Component &lt;: InfrastructureSystemsComponent &lt;: InfrastructureSystemsType &lt;: Any</td></tr><tr><th>2</th><td>Area</td><td>AggregationTopology &lt;: Topology &lt;: Component &lt;: InfrastructureSystemsComponent &lt;: InfrastructureSystemsType &lt;: Any</td></tr><tr><th>3</th><td>Bus</td><td>Topology &lt;: Component &lt;: InfrastructureSystemsComponent &lt;: InfrastructureSystemsType &lt;: Any</td></tr><tr><th>4</th><td>DynamicGenerator{BaseMachine,SingleMass,AVRFixed,TGFixed,PSSFixed}</td><td>DynamicInjection &lt;: Device &lt;: Component &lt;: InfrastructureSystemsComponent &lt;: InfrastructureSystemsType &lt;: Any</td></tr><tr><th>5</th><td>Line</td><td>ACBranch &lt;: Branch &lt;: Device &lt;: Component &lt;: InfrastructureSystemsComponent &lt;: InfrastructureSystemsType &lt;: Any</td></tr><tr><th>6</th><td>LoadZone</td><td>AggregationTopology &lt;: Topology &lt;: Component &lt;: InfrastructureSystemsComponent &lt;: InfrastructureSystemsType &lt;: Any</td></tr><tr><th>7</th><td>Source</td><td>StaticInjection &lt;: Device &lt;: Component &lt;: InfrastructureSystemsComponent &lt;: InfrastructureSystemsType &lt;: Any</td></tr><tr><th>8</th><td>ThermalStandard</td><td>ThermalGen &lt;: Generator &lt;: StaticInjection &lt;: Device &lt;: Component &lt;: InfrastructureSystemsComponent &lt;: InfrastructureSystemsType &lt;: Any</td></tr></tbody></table>\n",
       "\n",
       "<h2>TimeSeriesContainer</h2>\n",
       "<p><b>Components with time series data</b>: 0</p>\n",
       "<p><b>Total StaticTimeSeries</b>: 0</p>\n",
       "<p><b>Total Forecasts</b>: 0</p>\n",
       "<p><b>Resolution</b>: 0 seconds</p>\n"
      ]
     },
     "metadata": {},
     "execution_count": 2
    }
   ],
   "cell_type": "code",
   "source": [
    "file_dir = joinpath(\n",
    "    dirname(dirname(pathof(SIIPExamples))),\n",
    "    \"script\",\n",
    "    \"4_PowerSimulationsDynamics_examples\",\n",
    "    \"Data\",\n",
    ")\n",
    "omib_sys = System(joinpath(file_dir, \"omib_sys.json\"))"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Build the simulation and initialize the problem"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "The next step is to create the simulation structure. This will create the indexing\n",
    "of our system that will be used to formulate the differential-algebraic system of\n",
    "equations. To do so, it is required to specify the perturbation that will occur in\n",
    "the system. `PowerSimulationsDynamics` supports three types of perturbations:"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "- Network Switch: Change in the Y-bus values.\n",
    "- Branch Trip: Disconnects a line from the system.\n",
    "- Change in Reference Parameter"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Here, we will use a Branch Trip perturbation, that is modeled by modifying the\n",
    "specifying which line we want to trip. In this case we disconnect one of the lines\n",
    "that connects BUS 1 and BUS 2, named \"BUS 1-BUS 2-i_1\"."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "With this, we are ready to create our simulation structure:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ Info: Serialized time series data to /var/folders/27/2jr8c7gn4j72fvrg4qt81zrw8w_711/T/jl_rz4W6B/sys_time_series_storage.h5.\n",
      "[ Info: Serialized System to /var/folders/27/2jr8c7gn4j72fvrg4qt81zrw8w_711/T/jl_rz4W6B/sys.json\n",
      "[ Info: Loaded time series from storage file existing=sys_time_series_storage.h5 new=/var/folders/27/2jr8c7gn4j72fvrg4qt81zrw8w_711/T/jl_5pYqF2\n",
      "┌ Warning: struct DynamicGenerator does not exist in validation configuration file, validation skipped\n",
      "└ @ InfrastructureSystems ~/.julia/packages/InfrastructureSystems/v75Hd/src/validation.jl:51\n",
      "┌ Warning: struct DynamicGenerator does not exist in validation configuration file, validation skipped\n",
      "└ @ InfrastructureSystems ~/.julia/packages/InfrastructureSystems/v75Hd/src/validation.jl:51\n",
      "┌ Warning: There are no ElectricLoad Components in the System\n",
      "└ @ PowerSystems ~/.julia/packages/PowerSystems/4kGrw/src/utils/IO/system_checks.jl:56\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Simulation()\n"
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "cell_type": "code",
   "source": [
    "time_span = (0.0, 30.0)\n",
    "perturbation_trip = BranchTrip(1.0, \"BUS 1-BUS 2-i_1\")\n",
    "sim = PSID.Simulation(pwd(), omib_sys, time_span, perturbation_trip)"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "This will automatically initialize the system by running a power flow\n",
    "and update `V_ref`, `P_ref` and hence `eq_p` (the internal voltage) to match the\n",
    "solution of the power flow. It will also initialize the states in the equilibrium,\n",
    "which can be printed with:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Voltage Variables\n",
      "====================\n",
      "BUS 1\n",
      "====================\n",
      "Vm 1.05\n",
      "θ -0.0\n",
      "====================\n",
      "BUS 2\n",
      "====================\n",
      "Vm 1.04\n",
      "θ 0.0229\n",
      "====================\n",
      "====================\n",
      "Differential States\n",
      "generator-102-1\n",
      "====================\n",
      "δ 0.1685\n",
      "ω 1.0\n",
      "====================\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "print_device_states(sim)"
   ],
   "metadata": {},
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "source": [
    "To examine the calculated initial conditions, we can export them into a dictionary:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Dict{String,Any} with 5 entries:\n  \"generator-102-1\" => Dict(:ω=>1.0,:δ=>0.168525)\n  \"V_R\"             => Dict(102=>1.03973,101=>1.05)\n  \"Vm\"              => Dict(102=>1.04,101=>1.05)\n  \"θ\"               => Dict(102=>0.0228958,101=>-1.27016e-19)\n  \"V_I\"             => Dict(102=>0.0238095,101=>-1.33367e-19)"
     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "cell_type": "code",
   "source": [
    "x0_init = PSID.get_initial_conditions(sim)"
   ],
   "metadata": {},
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Run the Simulation"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Finally, to run the simulation we simply use:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "PSID.execute!(\n",
    "    sim, #simulation structure\n",
    "    IDA(), #Sundials DAE Solver\n",
    "    dtmax = 0.02,\n",
    "); #Arguments: Maximum timestep allowed"
   ],
   "metadata": {},
   "execution_count": 6
  },
  {
   "cell_type": "markdown",
   "source": [
    "In some cases, the dynamic time step used for the simulation may fail. In such case, the\n",
    "keyword argument `dtmax` can be used to limit the maximum time step allowed for the simulation."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Exploring the solution"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "`PowerSimulationsDynamics` has two functions to obtain different\n",
    "states of the solution:\n",
    " - `get_state_series(sim, (\"generator-102-1\", :δ))`: can be used to obtain the solution as\n",
    "a tuple of time and the required state. In this case, we are obtaining the rotor angle `:δ`\n",
    "of the generator named `\"generator-102-1\"`."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=1}",
      "image/png": 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       "  721.435,451.936 722.766,498.8 724.097,556.148 725.427,620.538 726.758,687.98 728.089,754.281 729.42,815.348 730.751,867.462 732.081,907.499 733.412,933.073 \n",
       "  734.743,942.728 736.074,935.991 737.405,913.403 738.735,876.452 740.066,827.478 741.397,769.54 742.728,706.206 744.058,641.335 745.389,578.887 746.72,522.656 \n",
       "  748.051,476.038 749.382,441.819 750.712,422.009 752.043,417.604 753.374,428.767 754.705,454.778 756.036,494.017 757.366,544.063 758.697,601.919 760.028,663.993 \n",
       "  761.359,726.42 762.689,785.337 764.02,837.146 765.351,878.731 766.682,907.621 768.013,922.119 769.343,921.439 770.674,905.734 772.005,876.078 773.336,834.382 \n",
       "  774.666,783.253 775.997,725.852 777.328,665.681 778.659,606.423 779.99,551.685 781.32,504.785 782.651,468.534 783.982,445.077 785.313,435.659 786.644,440.749 \n",
       "  787.974,459.991 789.305,492.176 790.636,535.308 791.967,586.812 793.297,643.483 794.628,701.788 795.959,758.109 797.29,809.001 798.621,851.392 799.951,882.73 \n",
       "  801.282,901.183 802.613,905.719 803.944,896.176 805.274,873.232 806.605,838.372 807.936,793.791 809.267,742.256 810.598,686.921 811.928,631.18 813.259,578.432 \n",
       "  814.59,531.879 815.921,494.322 817.252,467.996 818.582,454.343 819.913,454.094 821.244,467.216 822.575,492.87 823.905,529.456 825.236,574.799 826.567,626.069 \n",
       "  827.898,680.065 829.229,733.427 830.559,782.886 831.89,825.446 833.221,858.56 834.552,880.248 835.883,889.265 837.213,885.156 838.544,868.273 839.875,839.739 \n",
       "  841.206,801.364 842.536,755.535 843.867,705.064 845.198,653.051 846.529,602.674 847.86,557.002 849.19,518.79 850.521,490.323 851.852,473.197 853.183,468.356 \n",
       "  854.513,476.046 855.844,495.757 857.175,526.249 858.506,565.718 859.837,611.694 861.167,661.298 862.498,711.441 863.829,759.041 865.16,801.209 866.491,835.389 \n",
       "  867.821,859.553 869.152,872.301 870.483,872.952 871.814,861.548 873.144,838.865 874.475,806.351 875.806,766.043 877.137,720.424 878.468,672.35 879.798,624.702 \n",
       "  881.129,580.327 882.46,541.879 883.791,511.659 885.121,491.462 886.452,482.577 887.783,485.509 889.114,499.987 890.445,525.035 891.775,559.055 893.106,599.92 \n",
       "  894.437,645.101 895.768,691.798 897.099,737.157 898.429,778.414 899.76,813.116 901.091,839.206 902.422,855.14 903.752,859.992 905.083,853.523 906.414,836.191 \n",
       "  907.745,809.121 909.076,774.044 910.406,733.152 911.737,688.989 913.068,644.254 914.399,601.68 915.729,563.819 917.06,532.927 918.391,510.849 919.722,498.89 \n",
       "  921.053,497.725 922.383,507.365 923.714,527.156 925.045,555.817 926.376,591.543 927.707,632.129 929.037,675.076 930.368,717.756 931.699,757.565 933.03,792.092 \n",
       "  934.36,819.238 935.691,837.409 937.022,845.571 938.353,843.287 939.684,830.753 941.014,808.788 942.345,778.787 943.676,742.628 945.007,702.579 946.338,661.103 \n",
       "  947.668,620.71 948.999,583.855 950.33,552.761 951.661,529.296 952.991,514.845 954.322,510.243 955.653,515.696 956.984,530.806 958.315,554.592 959.645,585.56 \n",
       "  960.976,621.784 962.307,661.026 963.638,700.877 964.968,738.899 966.299,772.823 967.63,800.646 968.961,820.717 970.292,831.851 971.622,833.318 972.953,825.064 \n",
       "  974.284,807.674 975.615,782.288 976.946,750.513 978.276,714.325 979.607,675.977 980.938,637.827 982.269,602.187 983.599,571.198 984.93,546.707 986.261,530.161 \n",
       "  987.592,522.52 988.923,524.19 990.253,535.015 991.584,554.268 992.915,580.728 994.246,612.756 995.576,648.329 996.907,685.305 998.238,721.468 999.569,754.647 \n",
       "  1000.9,782.848 1002.23,804.377 1003.56,817.956 1004.89,822.713 1006.22,818.406 1007.55,805.345 1008.88,784.397 1010.22,756.895 1011.55,724.562 1012.88,689.398 \n",
       "  1014.21,653.588 1015.54,619.325 1016.87,588.674 1018.2,563.46 1019.53,545.175 1020.86,534.886 1022.19,533.175 1023.52,540.09 1024.85,555.16 1026.18,577.41 \n",
       "  1027.52,605.456 1028.85,637.558 1030.18,671.743 1031.51,705.914 1032.84,737.987 1034.17,766.017 1035.5,788.349 1036.83,803.69 1038.16,811.145 1039.49,810.298 \n",
       "  1040.82,801.232 1042.15,784.701 1043.48,761.725 1044.82,733.747 1046.15,702.476 1047.48,669.558 1048.81,637.026 1050.14,606.885 1051.47,580.981 1052.8,560.879 \n",
       "  1054.13,547.84 1055.46,542.645 1056.79,545.552 1058.12,556.325 1059.45,574.253 1060.78,598.201 1062.12,626.662 1063.45,657.864 1064.78,689.893 1066.11,720.8 \n",
       "  1067.44,748.717 1068.77,771.964 1070.1,789.154 1071.43,799.279 1072.76,801.767 1074.09,796.519 1075.42,783.903 1076.75,764.74 1078.09,740.232 1079.42,711.912 \n",
       "  1080.75,681.52 1082.08,650.911 1083.41,621.939 1084.74,596.351 1086.07,575.654 1087.4,561.07 1088.73,553.451 1090.06,553.23 1091.39,560.39 1092.72,574.328 \n",
       "  1094.05,594.171 1095.39,618.67 1096.72,646.326 1098.05,675.684 1099.38,704.934 1100.71,732.272 1102.04,756.026 1103.37,774.757 1104.7,787.293 1106.03,792.877 \n",
       "  1107.36,791.221 1108.69,782.477 1110.02,767.227 1111.35,746.441 1112.69,721.431 1114.02,693.756 1115.35,665.117 1116.68,637.259 1118.01,611.866 1119.34,590.468 \n",
       "  1120.67,574.339 1122,564.429 1123.33,561.3 1124.66,565.095 1125.99,575.542 1127.32,591.957 1128.65,613.309 1129.99,638.263 1131.32,665.284 1132.65,692.732 \n",
       "  1133.98,718.931 1135.31,742.292 1136.64,761.401 1137.97,775.119 1139.3,782.683 1140.63,783.683 1141.96,778.083 1143.29,766.244 1144.62,748.909 1145.95,727.107 \n",
       "  1147.29,702.202 1148.62,675.753 1149.95,649.405 1151.28,624.775 1152.61,603.355 1153.94,586.438 1155.27,575.022 1156.6,569.763 1157.93,570.928 1159.26,578.403 \n",
       "  1160.59,591.692 1161.92,609.953 1163.26,632.057 1164.59,656.637 1165.92,682.185 1167.25,707.134 1168.58,729.965 1169.91,749.315 1171.24,764.052 1172.57,773.311 \n",
       "  1173.9,776.556 1175.23,773.615 1176.56,764.638 1177.89,750.209 1179.22,731.247 1180.56,708.957 1181.89,684.725 1183.22,660.045 1184.55,636.438 1185.88,615.337 \n",
       "  1187.21,598.004 1188.54,585.455 1189.87,578.419 1191.2,577.288 1192.53,582.099 1193.86,592.52 1195.19,607.885 1196.52,627.221 1197.86,649.331 1199.19,672.856 \n",
       "  1200.52,696.367 1201.85,718.43 1203.18,737.708 1204.51,753.039 1205.84,763.509 1207.17,768.51 1208.5,767.816 1209.83,761.505 1211.16,749.974 1212.49,733.936 \n",
       "  1213.82,714.38 1215.16,692.481 1216.49,669.598 1217.82,647.152 1219.15,626.529 1220.48,608.984 1221.81,595.566 1223.14,587.066 1224.47,583.975 1225.8,586.443 \n",
       "  1227.13,594.279 1228.46,606.965 1229.79,623.695 1231.13,643.427 1232.46,664.949 1233.79,686.951 1235.12,708.089 1236.45,727.078 1237.78,742.77 1239.11,754.226 \n",
       "  1240.44,760.773 1241.77,762.082 1243.1,758.109 1244.43,749.11 1245.76,735.646 1247.09,718.549 1248.43,698.845 1249.76,677.758 1251.09,656.602 1252.42,636.684 \n",
       "  1253.75,619.22 1255.08,605.259 1256.41,595.64 1257.74,590.916 1259.07,591.334 1260.4,596.824 1261.73,607.02 1263.06,621.271 1264.39,638.693 1265.73,658.202 \n",
       "  1267.06,678.603 1268.39,698.66 1269.72,717.152 1271.05,732.958 1272.38,745.129 1273.71,752.941 1275.04,755.94 1276.37,753.979 1277.7,747.255 1279.03,736.195 \n",
       "  1280.36,721.475 1281.69,703.992 1283.03,684.814 1284.36,665.103 1285.69,646.072 1287.02,628.897 1288.35,614.628 1289.68,604.122 1291.01,597.997 1292.34,596.599 \n",
       "  1293.67,599.979 1295,607.897 1296.33,619.837 1297.66,635.044 1299,652.574 1300.33,671.345 1301.66,690.212 1302.99,708.021 1304.32,723.704 1305.65,736.326 \n",
       "  1306.98,745.133 1308.31,749.607 1309.64,749.497 1310.97,744.874 1312.3,736.045 1313.63,723.551 1314.96,708.158 1316.3,690.81 1317.63,672.565 1318.96,654.535 \n",
       "  1320.29,637.824 1321.62,623.461 1322.95,612.319 1324.28,605.063 1325.61,602.108 1326.94,603.609 1328.27,609.442 1329.6,619.22 1330.93,632.32 1332.26,647.92 \n",
       "  1333.6,665.059 1334.93,682.689 1336.26,699.743 1337.59,715.183 1338.92,728.075 1340.25,737.645 1341.58,743.329 1342.91,744.804 1344.24,742.041 1345.57,735.232 \n",
       "  1346.9,724.798 1348.23,711.381 1349.56,695.804 1350.9,679.007 1352.23,662.027 1353.56,645.919 1354.89,631.671 1356.22,620.148 1357.55,612.034 1358.88,607.801 \n",
       "  1360.21,607.685 1361.54,611.665 1362.87,619.466 1364.2,630.587 1365.53,644.326 1366.86,659.834 1368.2,676.16 1369.53,692.315 1370.86,707.313 1372.19,720.245 \n",
       "  1373.52,730.334 1374.85,736.979 1376.18,739.797 1377.51,738.669 1378.84,733.691 1380.17,725.172 1381.5,713.638 1382.83,699.8 1384.17,684.491 1385.5,668.657 \n",
       "  1386.83,653.284 1388.16,639.318 1389.49,627.608 1390.82,618.854 1392.15,613.577 1393.48,612.072 1394.81,614.401 1396.14,620.387 1397.47,629.646 1398.8,641.591 \n",
       "  1400.13,655.486 1401.47,670.47 1402.8,685.629 1404.13,700.046 1405.46,712.847 1406.79,723.259 1408.12,730.658 1409.45,734.61 1410.78,734.895 1412.11,731.549 \n",
       "  1413.44,724.795 1414.77,715.049 1416.1,702.908 1417.43,689.116 1418.77,674.516 1420.1,659.997 1421.43,646.448 1422.76,634.705 1424.09,625.481 1425.42,619.329 \n",
       "  1426.75,616.601 1428.08,617.444 1429.41,621.781 1430.74,629.323 1432.07,639.586 1433.4,651.926 1434.73,665.583 1436.07,679.72 1437.4,693.482 1438.73,706.03 \n",
       "  1440.06,716.606 1441.39,724.573 1442.72,729.462 1444.05,730.992 1445.38,729.118 1446.71,723.976 1448.04,715.883 1449.37,705.337 1450.7,692.987 1452.04,679.576 \n",
       "  1453.37,665.934 1454.7,652.907 1456.03,641.297 1457.36,631.808 1458.69,625.004 1460.02,621.284 1461.35,620.854 1462.68,623.72 1464.01,629.682 1465.34,638.354 \n",
       "  1466.67,649.188 1468,661.514 1469.34,674.576 1470.67,687.581 1472,699.737 1473.33,710.306 1474.66,718.651 1475.99,724.277 1477.32,726.855 1478.65,726.273 \n",
       "  1479.98,722.586 1481.31,716.026 1482.64,706.998 1483.97,696.058 1485.3,683.864 1486.64,671.172 1487.97,658.77 1489.3,647.424 1490.63,637.823 1491.96,630.542 \n",
       "  1493.29,626.015 1494.62,624.495 1495.95,626.054 1497.28,630.57 1498.61,637.75 1499.94,647.138 1501.27,658.152 1502.6,670.115 1503.94,682.299 1505.27,693.959 \n",
       "  1506.6,704.387 1507.93,712.954 1509.26,719.146 1510.59,722.601 1511.92,723.148 1513.25,720.773 1514.58,715.628 1515.91,708.033 1517.24,698.457 1518.57,687.475 \n",
       "  1519.91,675.768 1521.24,664.067 1522.57,653.093 1523.9,643.517 1525.23,635.913 1526.56,630.731 1527.89,628.276 1529.22,628.678 1530.55,631.887 1531.88,637.69 \n",
       "  1533.21,645.717 1534.54,655.467 1535.87,666.337 1537.21,677.663 1538.54,688.752 1539.87,698.931 1541.2,707.581 1542.53,714.185 1543.86,718.352 1545.19,719.862 \n",
       "  1546.52,718.644 1547.85,714.779 1549.18,708.509 1550.51,700.225 1551.84,690.421 1553.17,679.708 1554.51,668.754 1555.84,658.237 1557.17,648.801 1558.5,641.015 \n",
       "  1559.83,635.347 1561.16,632.126 1562.49,631.53 1563.82,633.573 1565.15,638.114 1566.48,644.859 1567.81,653.39 1569.14,663.177 1570.47,673.62 1571.81,684.078 \n",
       "  1573.14,693.911 1574.47,702.525 1575.8,709.41 1577.13,714.167 1578.46,716.519 1579.79,716.335 1581.12,713.635 1582.45,708.645 1583.78,701.673 1585.11,693.157 \n",
       "  1586.44,683.618 1587.78,673.556 1589.11,663.589 1590.44,654.34 1591.77,646.372 1593.1,640.167 1594.43,636.114 1595.76,634.456 1597.09,635.276 1598.42,638.505 \n",
       "  1599.75,643.931 1601.08,651.209 1602.41,659.882 1603.74,669.411 1605.08,679.209 1606.41,688.679 1607.74,697.248 1609.07,704.402 1610.4,709.716 1611.73,712.878 \n",
       "  1613.06,713.706 1614.39,712.165 1615.72,708.366 1617.05,702.554 1618.38,695.099 1619.71,686.462 1621.04,677.174 1622.38,667.802 1623.71,658.915 1625.04,651.054 \n",
       "  1626.37,644.693 1627.7,640.21 1629.03,637.853 1630.36,637.748 1631.69,639.894 1633.02,644.152 1634.35,650.257 1635.68,657.849 1637.01,666.451 1638.34,675.523 \n",
       "  1639.68,684.499 1641.01,692.832 1642.34,700.017 1643.67,705.635 1645,709.361 1646.33,710.979 1647.66,710.4 1648.99,707.668 1650.32,702.935 1651.65,696.504 \n",
       "  1652.98,688.785 1654.31,680.266 1655.64,671.473 1656.98,662.943 1658.31,655.198 1659.64,648.705 1660.97,643.849 1662.3,640.911 1663.63,640.055 1664.96,641.322 \n",
       "  1666.29,644.622 1667.62,649.743 1668.95,656.36 1670.28,664.06 1671.61,672.37 1672.95,680.783 1674.28,688.787 1675.61,695.896 1676.94,701.681 1678.27,705.797 \n",
       "  1679.6,708.002 1680.93,708.19 1682.26,706.363 1683.59,702.636 1684.92,697.242 1686.25,690.513 1687.58,682.852 1688.91,674.737 1690.25,666.67 1691.58,659.152 \n",
       "  1692.91,652.64 1694.24,647.525 1695.57,644.109 1696.9,642.593 1698.23,643.054 1699.56,645.448 1700.89,649.616 1702.22,655.294 1703.55,662.127 1704.88,669.694 \n",
       "  1706.21,677.531 1707.55,685.161 1708.88,692.119 1710.21,697.983 1711.54,702.404 1712.87,705.119 1714.2,705.988 1715.53,704.97 1716.86,702.134 1718.19,697.656 \n",
       "  1719.52,691.815 1720.85,684.959 1722.18,677.516 1723.51,669.95 1724.85,662.728 1726.18,656.293 1727.51,651.031 1728.84,647.26 1730.17,645.197 1731.5,644.955 \n",
       "  1732.83,646.535 1734.16,649.827 1735.49,654.62 1736.82,660.616 1738.15,667.445 1739.48,674.687 1740.82,681.897 1742.15,688.636 1743.48,694.495 1744.81,699.129 \n",
       "  1746.14,702.27 1747.47,703.736 1748.8,703.444 1750.13,701.42 1751.46,697.831 1752.79,692.896 1754.12,686.924 1755.45,680.28 1756.78,673.313 1758.12,666.451 \n",
       "  1759.45,660.122 1760.78,654.712 1762.11,650.549 1763.44,647.894 1764.77,646.905 1766.1,647.63 1767.43,650.012 1768.76,653.895 1770.09,659.032 1771.42,665.101 \n",
       "  1772.75,671.726 1774.08,678.498 1775.42,685.006 1776.75,690.855 1778.08,695.695 1779.41,699.24 1780.74,701.28 1782.07,701.701 1783.4,700.485 1784.73,697.72 \n",
       "  1786.06,693.584 1787.39,688.337 1788.72,682.306 1790.05,675.862 1791.38,669.395 1792.72,663.3 1794.05,657.947 1795.38,653.659 1796.71,650.69 1798.04,649.203 \n",
       "  1799.37,649.277 1800.7,650.902 1802.03,653.974 1803.36,658.303 1804.69,663.632 1806.02,669.625 1807.35,675.905 1808.69,682.086 1810.02,687.79 1811.35,692.672 \n",
       "  1812.68,696.436 1814.01,698.861 1815.34,699.808 1816.67,699.233 1818,697.182 1819.33,693.788 1820.66,689.266 1821.99,683.895 1823.32,678.006 1824.65,671.961 \n",
       "  1825.99,666.131 1827.32,660.868 1828.65,656.482 1829.98,653.233 1831.31,651.311 1832.64,650.827 1833.97,651.819 1835.3,654.22 1836.63,657.87 1837.96,662.535 \n",
       "  1839.29,667.923 1840.62,673.701 1841.95,679.512 1843.29,685.002 1844.62,689.838 1845.95,693.733 1847.28,696.455 1848.61,697.852 1849.94,697.843 1851.27,696.436 \n",
       "  1852.6,693.736 1853.93,689.91 1855.26,685.192 1856.59,679.869 1857.92,674.265 1859.25,668.72 1860.59,663.576 1861.92,659.148 1863.25,655.705 1864.58,653.454 \n",
       "  1865.91,652.524 1867.24,652.962 1868.57,654.733 1869.9,657.722 1871.23,661.739 1872.56,666.529 1873.89,671.798 1875.22,677.217 1876.55,682.46 1877.89,687.208 \n",
       "  1879.22,691.178 1880.55,694.133 1881.88,695.899 1883.21,696.373 1884.54,695.534 1885.87,693.44 1887.2,690.227 1888.53,686.099 1889.86,681.315 1891.19,676.17 \n",
       "  1892.52,670.981 1893.86,666.06 1895.19,661.705 1896.52,658.177 1897.85,655.687 1899.18,654.383 1900.51,654.336 1901.84,655.542 1903.17,657.91 1904.5,661.289 \n",
       "  1905.83,665.476 1907.16,670.214 1908.49,675.217 1909.82,680.178 1911.16,684.796 1912.49,688.783 1913.82,691.9 1915.15,693.958 1916.48,694.84 1917.81,694.499 \n",
       "  1919.14,692.964 1920.47,690.336 1921.8,686.782 1923.13,682.526 1924.46,677.831 1925.79,672.988 1927.12,668.288 1928.46,664.017 1929.79,660.433 1931.12,657.751 \n",
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       "  668.204,981.663 669.535,960.248 670.865,921.565 672.196,868.083 673.527,803.144 674.858,730.774 676.189,655.431 677.519,581.729 678.85,514.142 680.181,456.658 \n",
       "  681.512,412.672 682.842,384.772 684.173,374.576 685.504,382.792 686.835,408.814 688.166,450.951 689.496,506.491 690.827,571.955 692.158,643.284 693.489,716.054 \n",
       "  694.819,785.809 696.15,848.335 697.481,899.904 698.812,937.454 700.143,958.793 701.473,962.706 702.804,949.073 704.135,918.825 705.466,873.933 706.797,817.212 \n",
       "  708.127,752.215 709.458,682.925 710.789,613.549 712.12,548.31 713.45,491.163 714.781,445.551 716.112,414.189 717.443,398.9 718.774,400.384 720.104,418.441 \n",
       "  721.435,451.936 722.766,498.8 724.097,556.148 725.427,620.538 726.758,687.98 728.089,754.281 729.42,815.348 730.751,867.462 732.081,907.499 733.412,933.073 \n",
       "  734.743,942.728 736.074,935.991 737.405,913.403 738.735,876.452 740.066,827.478 741.397,769.54 742.728,706.206 744.058,641.335 745.389,578.887 746.72,522.656 \n",
       "  748.051,476.038 749.382,441.819 750.712,422.009 752.043,417.604 753.374,428.767 754.705,454.778 756.036,494.017 757.366,544.063 758.697,601.919 760.028,663.993 \n",
       "  761.359,726.42 762.689,785.337 764.02,837.146 765.351,878.731 766.682,907.621 768.013,922.119 769.343,921.439 770.674,905.734 772.005,876.078 773.336,834.382 \n",
       "  774.666,783.253 775.997,725.852 777.328,665.681 778.659,606.423 779.99,551.685 781.32,504.785 782.651,468.534 783.982,445.077 785.313,435.659 786.644,440.749 \n",
       "  787.974,459.991 789.305,492.176 790.636,535.308 791.967,586.812 793.297,643.483 794.628,701.788 795.959,758.109 797.29,809.001 798.621,851.392 799.951,882.73 \n",
       "  801.282,901.183 802.613,905.719 803.944,896.176 805.274,873.232 806.605,838.372 807.936,793.791 809.267,742.256 810.598,686.921 811.928,631.18 813.259,578.432 \n",
       "  814.59,531.879 815.921,494.322 817.252,467.996 818.582,454.343 819.913,454.094 821.244,467.216 822.575,492.87 823.905,529.456 825.236,574.799 826.567,626.069 \n",
       "  827.898,680.065 829.229,733.427 830.559,782.886 831.89,825.446 833.221,858.56 834.552,880.248 835.883,889.265 837.213,885.156 838.544,868.273 839.875,839.739 \n",
       "  841.206,801.364 842.536,755.535 843.867,705.064 845.198,653.051 846.529,602.674 847.86,557.002 849.19,518.79 850.521,490.323 851.852,473.197 853.183,468.356 \n",
       "  854.513,476.046 855.844,495.757 857.175,526.249 858.506,565.718 859.837,611.694 861.167,661.298 862.498,711.441 863.829,759.041 865.16,801.209 866.491,835.389 \n",
       "  867.821,859.553 869.152,872.301 870.483,872.952 871.814,861.548 873.144,838.865 874.475,806.351 875.806,766.043 877.137,720.424 878.468,672.35 879.798,624.702 \n",
       "  881.129,580.327 882.46,541.879 883.791,511.659 885.121,491.462 886.452,482.577 887.783,485.509 889.114,499.987 890.445,525.035 891.775,559.055 893.106,599.92 \n",
       "  894.437,645.101 895.768,691.798 897.099,737.157 898.429,778.414 899.76,813.116 901.091,839.206 902.422,855.14 903.752,859.992 905.083,853.523 906.414,836.191 \n",
       "  907.745,809.121 909.076,774.044 910.406,733.152 911.737,688.989 913.068,644.254 914.399,601.68 915.729,563.819 917.06,532.927 918.391,510.849 919.722,498.89 \n",
       "  921.053,497.725 922.383,507.365 923.714,527.156 925.045,555.817 926.376,591.543 927.707,632.129 929.037,675.076 930.368,717.756 931.699,757.565 933.03,792.092 \n",
       "  934.36,819.238 935.691,837.409 937.022,845.571 938.353,843.287 939.684,830.753 941.014,808.788 942.345,778.787 943.676,742.628 945.007,702.579 946.338,661.103 \n",
       "  947.668,620.71 948.999,583.855 950.33,552.761 951.661,529.296 952.991,514.845 954.322,510.243 955.653,515.696 956.984,530.806 958.315,554.592 959.645,585.56 \n",
       "  960.976,621.784 962.307,661.026 963.638,700.877 964.968,738.899 966.299,772.823 967.63,800.646 968.961,820.717 970.292,831.851 971.622,833.318 972.953,825.064 \n",
       "  974.284,807.674 975.615,782.288 976.946,750.513 978.276,714.325 979.607,675.977 980.938,637.827 982.269,602.187 983.599,571.198 984.93,546.707 986.261,530.161 \n",
       "  987.592,522.52 988.923,524.19 990.253,535.015 991.584,554.268 992.915,580.728 994.246,612.756 995.576,648.329 996.907,685.305 998.238,721.468 999.569,754.647 \n",
       "  1000.9,782.848 1002.23,804.377 1003.56,817.956 1004.89,822.713 1006.22,818.406 1007.55,805.345 1008.88,784.397 1010.22,756.895 1011.55,724.562 1012.88,689.398 \n",
       "  1014.21,653.588 1015.54,619.325 1016.87,588.674 1018.2,563.46 1019.53,545.175 1020.86,534.886 1022.19,533.175 1023.52,540.09 1024.85,555.16 1026.18,577.41 \n",
       "  1027.52,605.456 1028.85,637.558 1030.18,671.743 1031.51,705.914 1032.84,737.987 1034.17,766.017 1035.5,788.349 1036.83,803.69 1038.16,811.145 1039.49,810.298 \n",
       "  1040.82,801.232 1042.15,784.701 1043.48,761.725 1044.82,733.747 1046.15,702.476 1047.48,669.558 1048.81,637.026 1050.14,606.885 1051.47,580.981 1052.8,560.879 \n",
       "  1054.13,547.84 1055.46,542.645 1056.79,545.552 1058.12,556.325 1059.45,574.253 1060.78,598.201 1062.12,626.662 1063.45,657.864 1064.78,689.893 1066.11,720.8 \n",
       "  1067.44,748.717 1068.77,771.964 1070.1,789.154 1071.43,799.279 1072.76,801.767 1074.09,796.519 1075.42,783.903 1076.75,764.74 1078.09,740.232 1079.42,711.912 \n",
       "  1080.75,681.52 1082.08,650.911 1083.41,621.939 1084.74,596.351 1086.07,575.654 1087.4,561.07 1088.73,553.451 1090.06,553.23 1091.39,560.39 1092.72,574.328 \n",
       "  1094.05,594.171 1095.39,618.67 1096.72,646.326 1098.05,675.684 1099.38,704.934 1100.71,732.272 1102.04,756.026 1103.37,774.757 1104.7,787.293 1106.03,792.877 \n",
       "  1107.36,791.221 1108.69,782.477 1110.02,767.227 1111.35,746.441 1112.69,721.431 1114.02,693.756 1115.35,665.117 1116.68,637.259 1118.01,611.866 1119.34,590.468 \n",
       "  1120.67,574.339 1122,564.429 1123.33,561.3 1124.66,565.095 1125.99,575.542 1127.32,591.957 1128.65,613.309 1129.99,638.263 1131.32,665.284 1132.65,692.732 \n",
       "  1133.98,718.931 1135.31,742.292 1136.64,761.401 1137.97,775.119 1139.3,782.683 1140.63,783.683 1141.96,778.083 1143.29,766.244 1144.62,748.909 1145.95,727.107 \n",
       "  1147.29,702.202 1148.62,675.753 1149.95,649.405 1151.28,624.775 1152.61,603.355 1153.94,586.438 1155.27,575.022 1156.6,569.763 1157.93,570.928 1159.26,578.403 \n",
       "  1160.59,591.692 1161.92,609.953 1163.26,632.057 1164.59,656.637 1165.92,682.185 1167.25,707.134 1168.58,729.965 1169.91,749.315 1171.24,764.052 1172.57,773.311 \n",
       "  1173.9,776.556 1175.23,773.615 1176.56,764.638 1177.89,750.209 1179.22,731.247 1180.56,708.957 1181.89,684.725 1183.22,660.045 1184.55,636.438 1185.88,615.337 \n",
       "  1187.21,598.004 1188.54,585.455 1189.87,578.419 1191.2,577.288 1192.53,582.099 1193.86,592.52 1195.19,607.885 1196.52,627.221 1197.86,649.331 1199.19,672.856 \n",
       "  1200.52,696.367 1201.85,718.43 1203.18,737.708 1204.51,753.039 1205.84,763.509 1207.17,768.51 1208.5,767.816 1209.83,761.505 1211.16,749.974 1212.49,733.936 \n",
       "  1213.82,714.38 1215.16,692.481 1216.49,669.598 1217.82,647.152 1219.15,626.529 1220.48,608.984 1221.81,595.566 1223.14,587.066 1224.47,583.975 1225.8,586.443 \n",
       "  1227.13,594.279 1228.46,606.965 1229.79,623.695 1231.13,643.427 1232.46,664.949 1233.79,686.951 1235.12,708.089 1236.45,727.078 1237.78,742.77 1239.11,754.226 \n",
       "  1240.44,760.773 1241.77,762.082 1243.1,758.109 1244.43,749.11 1245.76,735.646 1247.09,718.549 1248.43,698.845 1249.76,677.758 1251.09,656.602 1252.42,636.684 \n",
       "  1253.75,619.22 1255.08,605.259 1256.41,595.64 1257.74,590.916 1259.07,591.334 1260.4,596.824 1261.73,607.02 1263.06,621.271 1264.39,638.693 1265.73,658.202 \n",
       "  1267.06,678.603 1268.39,698.66 1269.72,717.152 1271.05,732.958 1272.38,745.129 1273.71,752.941 1275.04,755.94 1276.37,753.979 1277.7,747.255 1279.03,736.195 \n",
       "  1280.36,721.475 1281.69,703.992 1283.03,684.814 1284.36,665.103 1285.69,646.072 1287.02,628.897 1288.35,614.628 1289.68,604.122 1291.01,597.997 1292.34,596.599 \n",
       "  1293.67,599.979 1295,607.897 1296.33,619.837 1297.66,635.044 1299,652.574 1300.33,671.345 1301.66,690.212 1302.99,708.021 1304.32,723.704 1305.65,736.326 \n",
       "  1306.98,745.133 1308.31,749.607 1309.64,749.497 1310.97,744.874 1312.3,736.045 1313.63,723.551 1314.96,708.158 1316.3,690.81 1317.63,672.565 1318.96,654.535 \n",
       "  1320.29,637.824 1321.62,623.461 1322.95,612.319 1324.28,605.063 1325.61,602.108 1326.94,603.609 1328.27,609.442 1329.6,619.22 1330.93,632.32 1332.26,647.92 \n",
       "  1333.6,665.059 1334.93,682.689 1336.26,699.743 1337.59,715.183 1338.92,728.075 1340.25,737.645 1341.58,743.329 1342.91,744.804 1344.24,742.041 1345.57,735.232 \n",
       "  1346.9,724.798 1348.23,711.381 1349.56,695.804 1350.9,679.007 1352.23,662.027 1353.56,645.919 1354.89,631.671 1356.22,620.148 1357.55,612.034 1358.88,607.801 \n",
       "  1360.21,607.685 1361.54,611.665 1362.87,619.466 1364.2,630.587 1365.53,644.326 1366.86,659.834 1368.2,676.16 1369.53,692.315 1370.86,707.313 1372.19,720.245 \n",
       "  1373.52,730.334 1374.85,736.979 1376.18,739.797 1377.51,738.669 1378.84,733.691 1380.17,725.172 1381.5,713.638 1382.83,699.8 1384.17,684.491 1385.5,668.657 \n",
       "  1386.83,653.284 1388.16,639.318 1389.49,627.608 1390.82,618.854 1392.15,613.577 1393.48,612.072 1394.81,614.401 1396.14,620.387 1397.47,629.646 1398.8,641.591 \n",
       "  1400.13,655.486 1401.47,670.47 1402.8,685.629 1404.13,700.046 1405.46,712.847 1406.79,723.259 1408.12,730.658 1409.45,734.61 1410.78,734.895 1412.11,731.549 \n",
       "  1413.44,724.795 1414.77,715.049 1416.1,702.908 1417.43,689.116 1418.77,674.516 1420.1,659.997 1421.43,646.448 1422.76,634.705 1424.09,625.481 1425.42,619.329 \n",
       "  1426.75,616.601 1428.08,617.444 1429.41,621.781 1430.74,629.323 1432.07,639.586 1433.4,651.926 1434.73,665.583 1436.07,679.72 1437.4,693.482 1438.73,706.03 \n",
       "  1440.06,716.606 1441.39,724.573 1442.72,729.462 1444.05,730.992 1445.38,729.118 1446.71,723.976 1448.04,715.883 1449.37,705.337 1450.7,692.987 1452.04,679.576 \n",
       "  1453.37,665.934 1454.7,652.907 1456.03,641.297 1457.36,631.808 1458.69,625.004 1460.02,621.284 1461.35,620.854 1462.68,623.72 1464.01,629.682 1465.34,638.354 \n",
       "  1466.67,649.188 1468,661.514 1469.34,674.576 1470.67,687.581 1472,699.737 1473.33,710.306 1474.66,718.651 1475.99,724.277 1477.32,726.855 1478.65,726.273 \n",
       "  1479.98,722.586 1481.31,716.026 1482.64,706.998 1483.97,696.058 1485.3,683.864 1486.64,671.172 1487.97,658.77 1489.3,647.424 1490.63,637.823 1491.96,630.542 \n",
       "  1493.29,626.015 1494.62,624.495 1495.95,626.054 1497.28,630.57 1498.61,637.75 1499.94,647.138 1501.27,658.152 1502.6,670.115 1503.94,682.299 1505.27,693.959 \n",
       "  1506.6,704.387 1507.93,712.954 1509.26,719.146 1510.59,722.601 1511.92,723.148 1513.25,720.773 1514.58,715.628 1515.91,708.033 1517.24,698.457 1518.57,687.475 \n",
       "  1519.91,675.768 1521.24,664.067 1522.57,653.093 1523.9,643.517 1525.23,635.913 1526.56,630.731 1527.89,628.276 1529.22,628.678 1530.55,631.887 1531.88,637.69 \n",
       "  1533.21,645.717 1534.54,655.467 1535.87,666.337 1537.21,677.663 1538.54,688.752 1539.87,698.931 1541.2,707.581 1542.53,714.185 1543.86,718.352 1545.19,719.862 \n",
       "  1546.52,718.644 1547.85,714.779 1549.18,708.509 1550.51,700.225 1551.84,690.421 1553.17,679.708 1554.51,668.754 1555.84,658.237 1557.17,648.801 1558.5,641.015 \n",
       "  1559.83,635.347 1561.16,632.126 1562.49,631.53 1563.82,633.573 1565.15,638.114 1566.48,644.859 1567.81,653.39 1569.14,663.177 1570.47,673.62 1571.81,684.078 \n",
       "  1573.14,693.911 1574.47,702.525 1575.8,709.41 1577.13,714.167 1578.46,716.519 1579.79,716.335 1581.12,713.635 1582.45,708.645 1583.78,701.673 1585.11,693.157 \n",
       "  1586.44,683.618 1587.78,673.556 1589.11,663.589 1590.44,654.34 1591.77,646.372 1593.1,640.167 1594.43,636.114 1595.76,634.456 1597.09,635.276 1598.42,638.505 \n",
       "  1599.75,643.931 1601.08,651.209 1602.41,659.882 1603.74,669.411 1605.08,679.209 1606.41,688.679 1607.74,697.248 1609.07,704.402 1610.4,709.716 1611.73,712.878 \n",
       "  1613.06,713.706 1614.39,712.165 1615.72,708.366 1617.05,702.554 1618.38,695.099 1619.71,686.462 1621.04,677.174 1622.38,667.802 1623.71,658.915 1625.04,651.054 \n",
       "  1626.37,644.693 1627.7,640.21 1629.03,637.853 1630.36,637.748 1631.69,639.894 1633.02,644.152 1634.35,650.257 1635.68,657.849 1637.01,666.451 1638.34,675.523 \n",
       "  1639.68,684.499 1641.01,692.832 1642.34,700.017 1643.67,705.635 1645,709.361 1646.33,710.979 1647.66,710.4 1648.99,707.668 1650.32,702.935 1651.65,696.504 \n",
       "  1652.98,688.785 1654.31,680.266 1655.64,671.473 1656.98,662.943 1658.31,655.198 1659.64,648.705 1660.97,643.849 1662.3,640.911 1663.63,640.055 1664.96,641.322 \n",
       "  1666.29,644.622 1667.62,649.743 1668.95,656.36 1670.28,664.06 1671.61,672.37 1672.95,680.783 1674.28,688.787 1675.61,695.896 1676.94,701.681 1678.27,705.797 \n",
       "  1679.6,708.002 1680.93,708.19 1682.26,706.363 1683.59,702.636 1684.92,697.242 1686.25,690.513 1687.58,682.852 1688.91,674.737 1690.25,666.67 1691.58,659.152 \n",
       "  1692.91,652.64 1694.24,647.525 1695.57,644.109 1696.9,642.593 1698.23,643.054 1699.56,645.448 1700.89,649.616 1702.22,655.294 1703.55,662.127 1704.88,669.694 \n",
       "  1706.21,677.531 1707.55,685.161 1708.88,692.119 1710.21,697.983 1711.54,702.404 1712.87,705.119 1714.2,705.988 1715.53,704.97 1716.86,702.134 1718.19,697.656 \n",
       "  1719.52,691.815 1720.85,684.959 1722.18,677.516 1723.51,669.95 1724.85,662.728 1726.18,656.293 1727.51,651.031 1728.84,647.26 1730.17,645.197 1731.5,644.955 \n",
       "  1732.83,646.535 1734.16,649.827 1735.49,654.62 1736.82,660.616 1738.15,667.445 1739.48,674.687 1740.82,681.897 1742.15,688.636 1743.48,694.495 1744.81,699.129 \n",
       "  1746.14,702.27 1747.47,703.736 1748.8,703.444 1750.13,701.42 1751.46,697.831 1752.79,692.896 1754.12,686.924 1755.45,680.28 1756.78,673.313 1758.12,666.451 \n",
       "  1759.45,660.122 1760.78,654.712 1762.11,650.549 1763.44,647.894 1764.77,646.905 1766.1,647.63 1767.43,650.012 1768.76,653.895 1770.09,659.032 1771.42,665.101 \n",
       "  1772.75,671.726 1774.08,678.498 1775.42,685.006 1776.75,690.855 1778.08,695.695 1779.41,699.24 1780.74,701.28 1782.07,701.701 1783.4,700.485 1784.73,697.72 \n",
       "  1786.06,693.584 1787.39,688.337 1788.72,682.306 1790.05,675.862 1791.38,669.395 1792.72,663.3 1794.05,657.947 1795.38,653.659 1796.71,650.69 1798.04,649.203 \n",
       "  1799.37,649.277 1800.7,650.902 1802.03,653.974 1803.36,658.303 1804.69,663.632 1806.02,669.625 1807.35,675.905 1808.69,682.086 1810.02,687.79 1811.35,692.672 \n",
       "  1812.68,696.436 1814.01,698.861 1815.34,699.808 1816.67,699.233 1818,697.182 1819.33,693.788 1820.66,689.266 1821.99,683.895 1823.32,678.006 1824.65,671.961 \n",
       "  1825.99,666.131 1827.32,660.868 1828.65,656.482 1829.98,653.233 1831.31,651.311 1832.64,650.827 1833.97,651.819 1835.3,654.22 1836.63,657.87 1837.96,662.535 \n",
       "  1839.29,667.923 1840.62,673.701 1841.95,679.512 1843.29,685.002 1844.62,689.838 1845.95,693.733 1847.28,696.455 1848.61,697.852 1849.94,697.843 1851.27,696.436 \n",
       "  1852.6,693.736 1853.93,689.91 1855.26,685.192 1856.59,679.869 1857.92,674.265 1859.25,668.72 1860.59,663.576 1861.92,659.148 1863.25,655.705 1864.58,653.454 \n",
       "  1865.91,652.524 1867.24,652.962 1868.57,654.733 1869.9,657.722 1871.23,661.739 1872.56,666.529 1873.89,671.798 1875.22,677.217 1876.55,682.46 1877.89,687.208 \n",
       "  1879.22,691.178 1880.55,694.133 1881.88,695.899 1883.21,696.373 1884.54,695.534 1885.87,693.44 1887.2,690.227 1888.53,686.099 1889.86,681.315 1891.19,676.17 \n",
       "  1892.52,670.981 1893.86,666.06 1895.19,661.705 1896.52,658.177 1897.85,655.687 1899.18,654.383 1900.51,654.336 1901.84,655.542 1903.17,657.91 1904.5,661.289 \n",
       "  1905.83,665.476 1907.16,670.214 1908.49,675.217 1909.82,680.178 1911.16,684.796 1912.49,688.783 1913.82,691.9 1915.15,693.958 1916.48,694.84 1917.81,694.499 \n",
       "  1919.14,692.964 1920.47,690.336 1921.8,686.782 1923.13,682.526 1924.46,677.831 1925.79,672.988 1927.12,668.288 1928.46,664.017 1929.79,660.433 1931.12,657.751 \n",
       "  1932.45,656.129 1933.78,655.661 1935.11,656.367 1936.44,658.197 1937.77,661.032 1939.1,664.691 1940.43,668.947 1941.76,673.534 1943.09,678.176 1944.42,682.59 \n",
       "  1945.76,686.509 1947.09,689.695 1948.42,691.959 1949.75,693.167 1951.08,693.262 1952.41,692.245 1953.74,690.18 1955.07,687.196 1956.4,683.477 1957.73,679.244 \n",
       "  1959.06,674.763 1960.39,670.314 1961.73,666.17 1963.06,662.582 1964.39,659.765 1965.72,657.89 1967.05,657.062 1968.38,657.325 1969.71,658.653 1971.04,660.957 \n",
       "  1972.37,664.095 1973.7,667.871 1975.03,672.052 1976.36,676.38 1977.69,680.59 1979.03,684.427 1980.36,687.662 1981.69,690.105 1983.02,691.614 1984.35,692.1 \n",
       "  1985.68,691.54 1987.01,689.96 1988.34,687.465 1989.67,684.213 1991,680.411 1992.33,676.295 1993.66,672.119 1994.99,668.139 1996.33,664.597 1997.66,661.705 \n",
       "  1998.99,659.633 2000.32,658.501 2001.65,658.372 2002.98,659.248 2004.31,661.068 2005.64,663.716 2006.97,667.025 2008.3,670.791 2009.63,674.783 2010.96,678.754 \n",
       "  2012.29,682.464 2013.63,685.69 2014.96,688.239 2016.29,689.965 2017.62,690.769 2018.95,690.607 2020.28,689.491 2021.61,687.493 2022.94,684.729 2024.27,681.375 \n",
       "  2025.6,677.643 2026.93,673.764 2028.26,669.977 2029.6,666.511 2030.93,663.573 2032.26,661.335 2033.59,659.932 2034.92,659.44 2036.25,659.887 2037.58,661.251 \n",
       "  2038.91,663.443 2040.24,666.322 2041.57,669.706 2042.9,673.385 2044.23,677.132 2045.56,680.716 2046.9,683.921 2048.23,686.553 2049.56,688.458 2050.89,689.525 \n",
       "  2052.22,689.695 2053.55,688.962 2054.88,687.379 2056.21,685.044 2057.54,682.107 2058.87,678.751 2060.2,675.178 2061.53,671.608 2062.86,668.257 2064.2,665.331 \n",
       "  2065.53,663.004 2066.86,661.415 2068.19,660.658 2069.52,660.773 2070.85,661.746 2072.18,663.511 2073.51,665.956 2074.84,668.93 2076.17,672.248 2077.5,675.707 \n",
       "  2078.83,679.095 2080.16,682.205 2081.5,684.85 2082.83,686.874 2084.16,688.162 2085.49,688.638 2086.82,688.277 2088.15,687.105 2089.48,685.216 2090.81,682.722 \n",
       "  2092.14,679.78 2093.47,676.568 2094.8,673.253 2096.13,670.042 2097.46,667.134 2098.8,664.707 2100.13,662.907 2101.46,661.849 2102.79,661.592 2104.12,662.149 \n",
       "  2105.45,663.479 2106.78,665.496 2108.11,668.073 2109.44,671.049 2110.77,674.238 2112.1,677.446 2113.43,680.475 2114.77,683.146 2116.1,685.299 2117.43,686.804 \n",
       "  2118.76,687.574 2120.09,687.565 2121.42,686.782 2122.75,685.278 2124.08,683.15 2125.41,680.532 2126.74,677.588 2128.07,674.498 2129.4,671.452 2130.73,668.632 \n",
       "  2132.07,666.208 2133.4,664.327 2134.73,663.101 2136.06,662.6 2137.39,662.851 2138.72,663.833 2140.05,665.483 2141.38,667.695 2142.71,670.332 2144.04,673.229 \n",
       "  2145.37,676.209 2146.7,679.089 2148.03,681.697 2149.37,683.873 2150.7,685.487 2152.03,686.446 2153.36,686.693 2154.69,686.218 2156.02,685.055 2157.35,683.279 \n",
       "  2158.68,681.002 2160.01,678.365 2161.34,675.532 2162.67,672.677 2164,669.972 2165.33,667.584 2166.67,665.652 2168,664.289 2169.33,663.575 2170.66,663.549 \n",
       "  2171.99,664.212 2173.32,665.506 2174.65,667.35 2175.98,669.629 2177.31,672.203 2178.64,674.938 2179.97,677.664 2181.3,680.212 2182.64,682.427 2183.97,684.175 \n",
       "  2185.3,685.346 2186.63,685.872 2187.96,685.723 2189.29,684.913 2190.62,683.496 2191.95,681.562 2193.28,679.233 2194.61,676.655 2195.94,673.985 2197.27,671.387 \n",
       "  2198.6,669.018 2199.94,667.018 2201.27,665.51 2202.6,664.581 2203.93,664.286 2205.26,664.639 2206.59,665.614 2207.92,667.148 2209.25,669.144 2210.58,671.476 \n",
       "  2211.91,674 2213.24,676.561 2214.57,679.003 2215.9,681.18 2217.24,682.96 2218.57,684.238 2219.9,684.938 2221.23,685.02 2222.56,684.483 2223.89,683.365 \n",
       "  2225.22,681.736 2226.55,679.698 2227.88,677.381 2229.21,674.924 2230.54,672.48 2231.87,670.197 2233.2,668.213 2234.54,666.647 2235.87,665.592 2237.2,665.112 \n",
       "  2238.53,665.229 2239.86,665.933 2241.19,667.178 2242.52,668.885 2243.85,670.947 2245.18,673.236 2246.51,675.612 2247.84,677.928 2249.17,680.046 2250.51,681.842 \n",
       "  2251.84,683.207 2253.17,684.061 2254.5,684.349 2255.83,684.056 2257.16,683.205 2258.49,681.85 2259.82,680.078 2261.15,678.001 2262.48,675.747 2263.81,673.455 \n",
       "  2265.14,671.266 2266.47,669.31 2267.81,667.707 2269.14,666.548 2270.47,665.903 2271.8,665.808 2273.13,666.267 2274.46,667.243 2275.79,668.676 2277.12,670.478 \n",
       "  2278.45,672.539 2279.78,674.733 2281.11,676.929 2282.44,678.989 2283.77,680.788 2285.11,682.216 2286.44,683.187 2287.77,683.645 2289.1,683.566 2290.43,682.957 \n",
       "  2291.76,681.861 2292.87,680.622 \n",
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      ]
     },
     "metadata": {},
     "execution_count": 7
    }
   ],
   "cell_type": "code",
   "source": [
    "angle = get_state_series(sim, (\"generator-102-1\", :δ));\n",
    "Plots.plot(angle, xlabel = \"time\", ylabel = \"rotor angle [rad]\", label = \"rotor angle\")"
   ],
   "metadata": {},
   "execution_count": 7
  },
  {
   "cell_type": "markdown",
   "source": [
    "- `get_voltagemag_series(sim, 102)`: can be used to obtain the voltage magnitude as a\n",
    "tuple of time and voltage. In this case, we are obtaining the voltage magnitude at bus 102\n",
    "(where the generator is located)."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=1}",
      "image/png": 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       "  478.154,1293.2 479.469,1264.9 480.783,1241.65 482.098,1228.12 483.413,1208.68 484.728,1190.03 486.042,1186.36 487.357,1183.85 488.672,1183.89 489.987,1190.85 \n",
       "  491.301,1202.37 492.616,1217.42 493.931,1236.12 495.245,1257.33 496.56,1279 497.875,1300.49 499.19,1320.93 500.504,1337.74 501.819,1350.51 503.134,1358.37 \n",
       "  504.449,1360.51 505.763,1356.9 507.078,1347.81 508.393,1333.91 509.708,1316.21 511.022,1296.04 512.337,1274.74 513.652,1253.62 514.967,1234.02 516.281,1217.04 \n",
       "  517.596,1203.49 518.911,1194.02 520.226,1189.21 521.54,1189.04 522.855,1193.36 524.17,1202.44 525.484,1215.77 526.799,1231.64 528.114,1250.01 529.429,1271.37 \n",
       "  530.743,1291.68 532.058,1308.4 533.373,1327.03 534.688,1342.5 536.002,1348.36 537.317,1351.63 538.632,1353.84 539.947,1345.2 541.261,1333.37 542.576,1319.2 \n",
       "  543.891,1301.23 545.206,1281.63 546.52,1262.06 547.835,1243.2 549.15,1226.17 550.465,1212.39 551.779,1202.19 553.094,1195.72 554.409,1193.88 555.723,1196.64 \n",
       "  557.038,1203.17 558.353,1213.93 559.668,1229.06 560.982,1245.38 562.297,1262.12 563.612,1283.1 564.927,1303.46 566.241,1317.37 567.556,1329.84 568.871,1342.55 \n",
       "  570.186,1347.08 571.5,1344.68 572.815,1342.46 574.13,1334.12 575.445,1320.66 576.759,1305.17 578.074,1287.77 579.389,1269.25 580.704,1251.31 582.018,1234.99 \n",
       "  583.333,1220.74 584.648,1209.67 585.963,1202.65 587.277,1199.42 588.592,1200.18 589.907,1205.51 591.221,1214.32 592.536,1225.51 593.851,1240.71 595.166,1258.93 \n",
       "  596.48,1275.11 597.795,1291.27 599.11,1309.37 600.425,1323.25 601.739,1331.47 603.054,1339.2 604.369,1343.15 605.684,1338.33 606.998,1330.88 608.313,1321.71 \n",
       "  609.628,1308.21 610.943,1292.17 612.257,1275.47 613.572,1258.62 614.887,1242.62 616.202,1228.65 617.516,1217.35 618.831,1209.17 620.146,1204.74 621.46,1204.28 \n",
       "  622.775,1207.51 624.09,1214.36 625.405,1224.7 626.719,1237.69 628.034,1252.42 629.349,1268.71 630.664,1285.45 631.978,1300.3 633.293,1313.44 634.608,1325.06 \n",
       "  635.923,1332.77 637.237,1335.53 638.552,1335.09 639.867,1330.96 641.182,1321.67 642.496,1309.57 643.811,1296.26 645.126,1280.3 646.441,1263.49 647.755,1249.77 \n",
       "  649.07,1236.96 650.385,1223.83 651.699,1215.41 653.014,1211.85 654.329,1208.78 655.644,1209.28 656.958,1216.26 658.273,1224.37 659.588,1233.95 660.903,1248.98 \n",
       "  662.217,1264.75 663.532,1277.48 664.847,1292.34 666.162,1307 667.476,1317.46 668.791,1324.84 670.106,1330.62 671.421,1331.39 672.735,1326.8 674.05,1320.79 \n",
       "  675.365,1312.09 676.68,1298.33 677.994,1284.02 679.309,1270.73 680.624,1256.04 681.939,1241.86 683.253,1231.64 684.568,1223.14 685.883,1215.51 687.197,1213.03 \n",
       "  688.512,1214.23 689.827,1217.63 691.142,1224.25 692.456,1234.42 693.771,1245.97 695.086,1258.53 696.401,1272.98 697.715,1287.21 699.03,1299.55 700.345,1310.51 \n",
       "  701.66,1319.15 702.974,1324.53 704.289,1326.5 705.604,1324.91 706.919,1319.83 708.233,1311.66 709.548,1301.02 710.863,1288.59 712.178,1275.16 713.492,1261.7 \n",
       "  714.807,1248.93 716.122,1237.5 717.436,1228.36 718.751,1221.91 720.066,1217.83 721.381,1216.93 722.695,1220.14 724.01,1225.37 725.325,1231.78 726.64,1243.34 \n",
       "  727.954,1257.54 729.269,1267.79 730.584,1279.04 731.899,1294.51 733.213,1305.11 734.528,1310.44 735.843,1318.8 737.158,1324.27 738.472,1321.48 739.787,1317.54 \n",
       "  741.102,1311.79 742.417,1302.54 743.731,1291.47 745.046,1279.47 746.361,1266.86 747.675,1254.52 748.99,1243.58 750.305,1234.28 751.62,1226.91 752.934,1222.49 \n",
       "  754.249,1221.16 755.564,1221.77 756.879,1225.33 758.193,1233.43 759.508,1242.11 760.823,1249.59 762.138,1263.43 763.452,1278.02 764.767,1286.02 766.082,1296.02 \n",
       "  767.397,1309.38 768.711,1314.11 770.026,1314.09 771.341,1318.13 772.656,1316.64 773.97,1310.58 775.285,1303.33 776.6,1294.03 777.915,1282.88 779.229,1271.31 \n",
       "  780.544,1259.99 781.859,1248.97 783.173,1239.42 784.488,1232.29 785.803,1227.12 787.118,1224.36 788.432,1224.98 789.747,1227.76 791.062,1231.75 792.377,1239.93 \n",
       "  793.691,1251.32 795.006,1259.9 796.321,1269.4 797.636,1283.2 798.95,1293.59 800.265,1299.43 801.58,1308.08 802.895,1315.05 804.209,1314.63 805.524,1313.23 \n",
       "  806.839,1310.21 808.154,1303.81 809.468,1295.43 810.783,1285.81 812.098,1275.14 813.412,1264.18 814.727,1253.99 816.042,1244.81 817.357,1236.96 818.671,1231.44 \n",
       "  819.986,1228.52 821.301,1227.17 822.616,1228.42 823.93,1233.92 825.245,1240.15 826.56,1245.33 827.875,1256.8 829.189,1269.44 830.504,1276.28 831.819,1285.51 \n",
       "  833.134,1298.56 834.448,1304.02 835.763,1305.37 837.078,1311.02 838.393,1311.72 839.707,1308.2 841.022,1303.55 842.337,1296.8 843.651,1287.99 844.966,1278.38 \n",
       "  846.281,1268.54 847.596,1258.47 848.91,1249.26 850.225,1241.86 851.54,1235.89 852.855,1231.82 854.169,1230.68 855.484,1231.41 856.799,1233.2 858.114,1238.96 \n",
       "  859.428,1247.93 860.743,1254.45 862.058,1262.17 863.373,1274.42 864.687,1283.92 866.002,1289.58 867.317,1298.46 868.632,1306.24 869.946,1307.4 871.261,1307.93 \n",
       "  872.576,1307.1 873.891,1303.12 875.205,1297.16 876.52,1289.79 877.835,1281.09 879.149,1271.69 880.464,1262.56 881.779,1253.9 883.094,1246.03 884.408,1239.94 \n",
       "  885.723,1235.95 887.038,1233.15 888.353,1232.59 889.667,1235.98 890.982,1240.03 892.297,1243.14 893.612,1252.45 894.926,1263.15 896.241,1269.77 897.556,1278.24 \n",
       "  898.871,1287.26 900.185,1294.32 901.5,1299.93 902.815,1303.92 904.13,1305.58 905.444,1305.02 906.759,1302.35 908.074,1297.5 909.388,1290.93 910.703,1283.34 \n",
       "  912.018,1274.91 913.333,1266.14 914.647,1257.9 915.962,1250.47 917.277,1243.96 918.592,1239.16 919.906,1236.49 921.221,1235.56 922.536,1236.52 923.851,1239.83 \n",
       "  925.165,1244.84 926.48,1251.01 927.795,1258.62 929.11,1267.1 930.424,1274.76 931.739,1282.33 933.054,1290.14 934.369,1296.19 935.683,1299.79 936.998,1302.39 \n",
       "  938.313,1303.17 939.627,1300.67 940.942,1296.65 942.257,1291.8 943.572,1284.89 944.886,1276.81 946.201,1269.39 947.516,1261.76 948.831,1253.7 950.145,1247.56 \n",
       "  951.46,1243.01 952.775,1239.55 954.09,1237.95 955.404,1238.68 956.719,1240.89 958.034,1244.51 959.349,1250.21 960.663,1257.06 961.978,1264.09 963.293,1271.85 \n",
       "  964.608,1279.7 965.922,1286.29 967.237,1291.95 968.552,1296.87 969.867,1299.59 971.181,1300.2 972.496,1299.27 973.811,1296.52 975.125,1291.76 976.44,1285.89 \n",
       "  977.755,1279.37 979.07,1271.9 980.384,1264.28 981.699,1257.48 983.014,1251.29 984.329,1246.19 985.643,1242.58 986.958,1240.57 988.273,1240.28 989.588,1241.8 \n",
       "  990.902,1244.97 992.217,1249.55 993.532,1255.35 994.847,1262.04 996.161,1269.07 997.476,1276.19 998.791,1283.03 1000.11,1288.71 1001.42,1293.07 1002.74,1296.71 \n",
       "  1004.05,1298.39 1005.36,1296.89 1006.68,1295.19 1007.99,1293.73 1009.31,1286.95 1010.62,1279.16 1011.94,1274.24 1013.25,1267.67 1014.57,1260.49 1015.88,1254.57 \n",
       "  1017.2,1249.53 1018.51,1245.52 1019.83,1243.06 1021.14,1242.24 1022.46,1242.96 1023.77,1245.34 1025.09,1249.22 1026.4,1254.2 1027.72,1260.07 1029.03,1266.64 \n",
       "  1030.34,1273.29 1031.66,1279.64 1032.97,1285.51 1034.29,1290.3 1035.6,1293.45 1036.92,1295.51 1038.23,1296.39 1039.55,1294.48 1040.86,1290.88 1042.18,1287.56 \n",
       "  1043.49,1282.76 1044.81,1275.73 1046.12,1269.57 1047.44,1264.31 1048.75,1257.57 1050.07,1251.74 1051.38,1248.46 1052.7,1245.79 1054.01,1244.22 1055.32,1244.45 \n",
       "  1056.64,1246.14 1057.95,1249.12 1059.27,1253.29 1060.58,1258.4 1061.9,1264.15 1063.21,1270.29 1064.53,1276.34 1065.84,1281.99 1067.16,1286.88 1068.47,1290.68 \n",
       "  1069.79,1293.14 1071.1,1294.13 1072.42,1293.58 1073.73,1291.53 1075.05,1288.13 1076.36,1283.63 1077.68,1278.28 1078.99,1272.46 1080.3,1266.55 1081.62,1260.82 \n",
       "  1082.93,1255.63 1084.25,1251.47 1085.56,1248.41 1086.88,1246.33 1088.19,1245.9 1089.51,1247.36 1090.82,1249.24 1092.14,1251.98 1093.45,1257.83 1094.77,1263.67 \n",
       "  1096.08,1266.01 1097.4,1273.64 1098.71,1281.97 1100.03,1283.98 1101.34,1287.35 1102.66,1290.96 1103.97,1292.14 1105.28,1291.99 1106.6,1290.8 1107.91,1288.13 \n",
       "  1109.23,1284.42 1110.54,1279.8 1111.86,1274.65 1113.17,1269.15 1114.49,1263.74 1115.8,1258.71 1117.12,1254.35 1118.43,1250.92 1119.75,1248.65 1121.06,1247.63 \n",
       "  1122.38,1247.93 1123.69,1249.53 1125.01,1252.31 1126.32,1256.1 1127.64,1260.7 1128.95,1265.81 1130.26,1271.08 1131.58,1276.29 1132.89,1281.12 1134.21,1285.06 \n",
       "  1135.52,1288.02 1136.84,1290.12 1138.15,1290.73 1139.47,1289.52 1140.78,1287.86 1142.1,1285.56 1143.41,1280.34 1144.73,1274.85 1146.04,1271.14 1147.36,1266.45 \n",
       "  1148.67,1260.37 1149.99,1256.66 1151.3,1254.34 1152.62,1250.55 1153.93,1249.48 1155.24,1249.5 1156.56,1250.27 1157.87,1252.43 1159.19,1255.68 1160.5,1259.65 \n",
       "  1161.82,1264.21 1163.13,1269.18 1164.45,1274.06 1165.76,1278.59 1167.08,1282.66 1168.39,1285.85 1169.71,1287.84 1171.02,1288.97 1172.34,1289.05 1173.65,1287.19 \n",
       "  1174.97,1284.38 1176.28,1281.44 1177.6,1277.45 1178.91,1272.4 1180.22,1267.87 1181.54,1263.69 1182.85,1259.01 1184.17,1255.58 1185.48,1252.95 1186.8,1251.17 \n",
       "  1188.11,1250.58 1189.43,1251.14 1190.74,1252.77 1192.06,1255.41 1193.37,1258.91 1194.69,1263.01 1196,1267.46 1197.32,1272.06 1198.63,1276.48 1199.95,1280.4 \n",
       "  1201.26,1283.65 1202.58,1286.07 1203.89,1287.37 1205.2,1287.46 1206.52,1286.7 1207.83,1284.89 1209.15,1281.59 1210.46,1277.93 1211.78,1274.67 1213.09,1269.7 \n",
       "  1214.41,1264.6 1215.72,1261.58 1217.04,1258.27 1218.35,1254.19 1219.67,1252.76 1220.98,1252.97 1222.3,1252.2 1223.61,1253.15 1224.93,1255.55 1226.24,1258.42 \n",
       "  1227.56,1261.94 1228.87,1266.05 1230.18,1270.29 1231.5,1274.4 1232.81,1278.32 1234.13,1281.66 1235.44,1284.08 1236.76,1285.68 1238.07,1286.33 1239.39,1285.72 \n",
       "  1240.7,1284.24 1242.02,1282.23 1243.33,1278.92 1244.65,1274.6 1245.96,1271.14 1247.28,1267.54 1248.59,1262.84 1249.91,1259.3 1251.22,1257.33 1252.54,1254.75 \n",
       "  1253.85,1252.82 1255.17,1253.24 1256.48,1254.09 1257.79,1255.53 1259.11,1258.06 1260.42,1261.25 1261.74,1264.85 1263.05,1268.77 1264.37,1272.74 1265.68,1276.41 \n",
       "  1267,1279.65 1268.31,1282.33 1269.63,1284.1 1270.94,1284.98 1272.26,1285.06 1273.57,1283.93 1274.89,1281.7 1276.2,1279.4 1277.52,1276.52 1278.83,1271.84 \n",
       "  1280.15,1268.56 1281.46,1265.82 1282.77,1261.21 1284.09,1257.81 1285.4,1257.11 1286.72,1255.32 1288.03,1254.06 1289.35,1254.78 1290.66,1255.96 1291.98,1257.91 \n",
       "  1293.29,1260.69 1294.61,1263.92 1295.92,1267.45 1297.24,1271.12 1298.55,1274.68 1299.87,1277.86 1301.18,1280.53 1302.5,1282.53 1303.81,1283.67 1305.13,1283.92 \n",
       "  1306.44,1283.35 1307.75,1281.82 1309.07,1279.46 1310.38,1276.76 1311.7,1273.64 1313.01,1269.73 1314.33,1266.22 1315.64,1263.8 1316.96,1260.3 1318.27,1257.25 \n",
       "  1319.59,1256.68 1320.9,1256.08 1322.22,1254.84 1323.53,1256.39 1324.85,1258.22 1326.16,1260.21 1327.48,1263.11 1328.79,1266.39 1330.11,1269.72 1331.42,1273.08 \n",
       "  1332.73,1276.26 1334.05,1278.88 1335.36,1280.93 1336.68,1282.37 1337.99,1282.93 1339.31,1282.59 1340.62,1281.62 1341.94,1279.79 1343.25,1277.01 1344.57,1274.24 \n",
       "  1345.88,1271.61 1347.2,1267.86 1348.51,1264.27 1349.83,1262.12 1351.14,1259.79 1352.46,1257.23 1353.77,1256.6 1355.09,1256.99 1356.4,1256.91 1357.71,1258.04 \n",
       "  1359.03,1260.14 1360.34,1262.56 1361.66,1265.39 1362.97,1268.54 1364.29,1271.69 1365.6,1274.65 1366.92,1277.36 1368.23,1279.54 1369.55,1281 1370.86,1281.8 \n",
       "  1372.18,1281.86 1373.49,1281.02 1374.81,1279.56 1376.12,1277.71 1377.44,1275.02 1378.75,1271.75 1380.07,1269.06 1381.38,1266.36 1382.69,1263.1 1384.01,1260.71 \n",
       "  1385.32,1259.4 1386.64,1257.87 1387.95,1256.93 1389.27,1257.53 1390.58,1258.51 1391.9,1259.96 1393.21,1262.12 1394.53,1264.7 1395.84,1267.51 1397.16,1270.46 \n",
       "  1398.47,1273.34 1399.79,1275.92 1401.1,1278.09 1402.42,1279.77 1403.73,1280.73 1405.05,1281.01 1406.36,1280.67 1407.67,1279.49 1408.99,1277.56 1410.3,1275.57 \n",
       "  1411.62,1273.2 1412.93,1269.77 1414.25,1267.28 1415.56,1265.21 1416.88,1262.1 1418.19,1259.89 1419.51,1259.48 1420.82,1258.52 1422.14,1257.55 1423.45,1258.84 \n",
       "  1424.77,1260.23 1426.08,1261.79 1427.4,1264.09 1428.71,1266.69 1430.03,1269.36 1431.34,1272.07 1432.65,1274.64 1433.97,1276.78 1435.28,1278.47 1436.6,1279.69 \n",
       "  1437.91,1280.2 1439.23,1280 1440.54,1279.29 1441.86,1277.88 1443.17,1275.69 1444.49,1273.53 1445.8,1271.43 1447.12,1268.41 1448.43,1265.52 1449.75,1263.76 \n",
       "  1451.06,1261.83 1452.38,1259.72 1453.69,1259.18 1455.01,1259.4 1456.32,1259.28 1457.63,1260.14 1458.95,1261.77 1460.26,1263.67 1461.58,1265.92 1462.89,1268.44 \n",
       "  1464.21,1270.96 1465.52,1273.36 1466.84,1275.56 1468.15,1277.35 1469.47,1278.58 1470.78,1279.28 1472.1,1279.38 1473.41,1278.78 1474.73,1277.66 1476.04,1276.23 \n",
       "  1477.36,1274.1 1478.67,1271.51 1479.99,1269.36 1481.3,1267.17 1482.62,1264.54 1483.93,1262.59 1485.24,1261.48 1486.56,1260.2 1487.87,1259.39 1489.19,1259.81 \n",
       "  1490.5,1260.54 1491.82,1261.65 1493.13,1263.35 1494.45,1265.39 1495.76,1267.63 1497.08,1269.99 1498.39,1272.31 1499.71,1274.41 1501.02,1276.19 1502.34,1277.58 \n",
       "  1503.65,1278.4 1504.97,1278.64 1506.28,1278.43 1507.6,1277.57 1508.91,1276.03 1510.22,1274.47 1511.54,1272.73 1512.85,1270.18 1514.17,1267.71 1515.48,1265.96 \n",
       "  1516.8,1263.98 1518.11,1261.96 1519.43,1261.12 1520.74,1260.8 1522.06,1260.38 1523.37,1260.76 1524.69,1261.8 1526,1263.17 1527.32,1264.92 1528.63,1266.97 \n",
       "  1529.95,1269.14 1531.26,1271.29 1532.58,1273.36 1533.89,1275.16 1535.2,1276.54 1536.52,1277.52 1537.83,1278.03 1539.15,1277.9 1540.46,1277.3 1541.78,1276.38 \n",
       "  1543.09,1274.75 1544.41,1272.63 1545.72,1270.89 1547.04,1269.01 1548.35,1266.57 1549.67,1264.69 1550.98,1263.52 1552.3,1262.05 1553.61,1260.95 1554.93,1260.99 \n",
       "  1556.24,1261.27 1557.56,1261.88 1558.87,1263.07 1560.18,1264.62 1561.5,1266.42 1562.81,1268.41 1564.13,1270.46 1565.44,1272.39 1566.76,1274.14 1568.07,1275.62 \n",
       "  1569.39,1276.66 1570.7,1277.21 1572.02,1277.41 1573.33,1277.01 1574.65,1275.97 1575.96,1274.88 1577.28,1273.46 1578.59,1271.38 1579.91,1269.41 1581.22,1267.77 \n",
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       "  543.891,1301.23 545.206,1281.63 546.52,1262.06 547.835,1243.2 549.15,1226.17 550.465,1212.39 551.779,1202.19 553.094,1195.72 554.409,1193.88 555.723,1196.64 \n",
       "  557.038,1203.17 558.353,1213.93 559.668,1229.06 560.982,1245.38 562.297,1262.12 563.612,1283.1 564.927,1303.46 566.241,1317.37 567.556,1329.84 568.871,1342.55 \n",
       "  570.186,1347.08 571.5,1344.68 572.815,1342.46 574.13,1334.12 575.445,1320.66 576.759,1305.17 578.074,1287.77 579.389,1269.25 580.704,1251.31 582.018,1234.99 \n",
       "  583.333,1220.74 584.648,1209.67 585.963,1202.65 587.277,1199.42 588.592,1200.18 589.907,1205.51 591.221,1214.32 592.536,1225.51 593.851,1240.71 595.166,1258.93 \n",
       "  596.48,1275.11 597.795,1291.27 599.11,1309.37 600.425,1323.25 601.739,1331.47 603.054,1339.2 604.369,1343.15 605.684,1338.33 606.998,1330.88 608.313,1321.71 \n",
       "  609.628,1308.21 610.943,1292.17 612.257,1275.47 613.572,1258.62 614.887,1242.62 616.202,1228.65 617.516,1217.35 618.831,1209.17 620.146,1204.74 621.46,1204.28 \n",
       "  622.775,1207.51 624.09,1214.36 625.405,1224.7 626.719,1237.69 628.034,1252.42 629.349,1268.71 630.664,1285.45 631.978,1300.3 633.293,1313.44 634.608,1325.06 \n",
       "  635.923,1332.77 637.237,1335.53 638.552,1335.09 639.867,1330.96 641.182,1321.67 642.496,1309.57 643.811,1296.26 645.126,1280.3 646.441,1263.49 647.755,1249.77 \n",
       "  649.07,1236.96 650.385,1223.83 651.699,1215.41 653.014,1211.85 654.329,1208.78 655.644,1209.28 656.958,1216.26 658.273,1224.37 659.588,1233.95 660.903,1248.98 \n",
       "  662.217,1264.75 663.532,1277.48 664.847,1292.34 666.162,1307 667.476,1317.46 668.791,1324.84 670.106,1330.62 671.421,1331.39 672.735,1326.8 674.05,1320.79 \n",
       "  675.365,1312.09 676.68,1298.33 677.994,1284.02 679.309,1270.73 680.624,1256.04 681.939,1241.86 683.253,1231.64 684.568,1223.14 685.883,1215.51 687.197,1213.03 \n",
       "  688.512,1214.23 689.827,1217.63 691.142,1224.25 692.456,1234.42 693.771,1245.97 695.086,1258.53 696.401,1272.98 697.715,1287.21 699.03,1299.55 700.345,1310.51 \n",
       "  701.66,1319.15 702.974,1324.53 704.289,1326.5 705.604,1324.91 706.919,1319.83 708.233,1311.66 709.548,1301.02 710.863,1288.59 712.178,1275.16 713.492,1261.7 \n",
       "  714.807,1248.93 716.122,1237.5 717.436,1228.36 718.751,1221.91 720.066,1217.83 721.381,1216.93 722.695,1220.14 724.01,1225.37 725.325,1231.78 726.64,1243.34 \n",
       "  727.954,1257.54 729.269,1267.79 730.584,1279.04 731.899,1294.51 733.213,1305.11 734.528,1310.44 735.843,1318.8 737.158,1324.27 738.472,1321.48 739.787,1317.54 \n",
       "  741.102,1311.79 742.417,1302.54 743.731,1291.47 745.046,1279.47 746.361,1266.86 747.675,1254.52 748.99,1243.58 750.305,1234.28 751.62,1226.91 752.934,1222.49 \n",
       "  754.249,1221.16 755.564,1221.77 756.879,1225.33 758.193,1233.43 759.508,1242.11 760.823,1249.59 762.138,1263.43 763.452,1278.02 764.767,1286.02 766.082,1296.02 \n",
       "  767.397,1309.38 768.711,1314.11 770.026,1314.09 771.341,1318.13 772.656,1316.64 773.97,1310.58 775.285,1303.33 776.6,1294.03 777.915,1282.88 779.229,1271.31 \n",
       "  780.544,1259.99 781.859,1248.97 783.173,1239.42 784.488,1232.29 785.803,1227.12 787.118,1224.36 788.432,1224.98 789.747,1227.76 791.062,1231.75 792.377,1239.93 \n",
       "  793.691,1251.32 795.006,1259.9 796.321,1269.4 797.636,1283.2 798.95,1293.59 800.265,1299.43 801.58,1308.08 802.895,1315.05 804.209,1314.63 805.524,1313.23 \n",
       "  806.839,1310.21 808.154,1303.81 809.468,1295.43 810.783,1285.81 812.098,1275.14 813.412,1264.18 814.727,1253.99 816.042,1244.81 817.357,1236.96 818.671,1231.44 \n",
       "  819.986,1228.52 821.301,1227.17 822.616,1228.42 823.93,1233.92 825.245,1240.15 826.56,1245.33 827.875,1256.8 829.189,1269.44 830.504,1276.28 831.819,1285.51 \n",
       "  833.134,1298.56 834.448,1304.02 835.763,1305.37 837.078,1311.02 838.393,1311.72 839.707,1308.2 841.022,1303.55 842.337,1296.8 843.651,1287.99 844.966,1278.38 \n",
       "  846.281,1268.54 847.596,1258.47 848.91,1249.26 850.225,1241.86 851.54,1235.89 852.855,1231.82 854.169,1230.68 855.484,1231.41 856.799,1233.2 858.114,1238.96 \n",
       "  859.428,1247.93 860.743,1254.45 862.058,1262.17 863.373,1274.42 864.687,1283.92 866.002,1289.58 867.317,1298.46 868.632,1306.24 869.946,1307.4 871.261,1307.93 \n",
       "  872.576,1307.1 873.891,1303.12 875.205,1297.16 876.52,1289.79 877.835,1281.09 879.149,1271.69 880.464,1262.56 881.779,1253.9 883.094,1246.03 884.408,1239.94 \n",
       "  885.723,1235.95 887.038,1233.15 888.353,1232.59 889.667,1235.98 890.982,1240.03 892.297,1243.14 893.612,1252.45 894.926,1263.15 896.241,1269.77 897.556,1278.24 \n",
       "  898.871,1287.26 900.185,1294.32 901.5,1299.93 902.815,1303.92 904.13,1305.58 905.444,1305.02 906.759,1302.35 908.074,1297.5 909.388,1290.93 910.703,1283.34 \n",
       "  912.018,1274.91 913.333,1266.14 914.647,1257.9 915.962,1250.47 917.277,1243.96 918.592,1239.16 919.906,1236.49 921.221,1235.56 922.536,1236.52 923.851,1239.83 \n",
       "  925.165,1244.84 926.48,1251.01 927.795,1258.62 929.11,1267.1 930.424,1274.76 931.739,1282.33 933.054,1290.14 934.369,1296.19 935.683,1299.79 936.998,1302.39 \n",
       "  938.313,1303.17 939.627,1300.67 940.942,1296.65 942.257,1291.8 943.572,1284.89 944.886,1276.81 946.201,1269.39 947.516,1261.76 948.831,1253.7 950.145,1247.56 \n",
       "  951.46,1243.01 952.775,1239.55 954.09,1237.95 955.404,1238.68 956.719,1240.89 958.034,1244.51 959.349,1250.21 960.663,1257.06 961.978,1264.09 963.293,1271.85 \n",
       "  964.608,1279.7 965.922,1286.29 967.237,1291.95 968.552,1296.87 969.867,1299.59 971.181,1300.2 972.496,1299.27 973.811,1296.52 975.125,1291.76 976.44,1285.89 \n",
       "  977.755,1279.37 979.07,1271.9 980.384,1264.28 981.699,1257.48 983.014,1251.29 984.329,1246.19 985.643,1242.58 986.958,1240.57 988.273,1240.28 989.588,1241.8 \n",
       "  990.902,1244.97 992.217,1249.55 993.532,1255.35 994.847,1262.04 996.161,1269.07 997.476,1276.19 998.791,1283.03 1000.11,1288.71 1001.42,1293.07 1002.74,1296.71 \n",
       "  1004.05,1298.39 1005.36,1296.89 1006.68,1295.19 1007.99,1293.73 1009.31,1286.95 1010.62,1279.16 1011.94,1274.24 1013.25,1267.67 1014.57,1260.49 1015.88,1254.57 \n",
       "  1017.2,1249.53 1018.51,1245.52 1019.83,1243.06 1021.14,1242.24 1022.46,1242.96 1023.77,1245.34 1025.09,1249.22 1026.4,1254.2 1027.72,1260.07 1029.03,1266.64 \n",
       "  1030.34,1273.29 1031.66,1279.64 1032.97,1285.51 1034.29,1290.3 1035.6,1293.45 1036.92,1295.51 1038.23,1296.39 1039.55,1294.48 1040.86,1290.88 1042.18,1287.56 \n",
       "  1043.49,1282.76 1044.81,1275.73 1046.12,1269.57 1047.44,1264.31 1048.75,1257.57 1050.07,1251.74 1051.38,1248.46 1052.7,1245.79 1054.01,1244.22 1055.32,1244.45 \n",
       "  1056.64,1246.14 1057.95,1249.12 1059.27,1253.29 1060.58,1258.4 1061.9,1264.15 1063.21,1270.29 1064.53,1276.34 1065.84,1281.99 1067.16,1286.88 1068.47,1290.68 \n",
       "  1069.79,1293.14 1071.1,1294.13 1072.42,1293.58 1073.73,1291.53 1075.05,1288.13 1076.36,1283.63 1077.68,1278.28 1078.99,1272.46 1080.3,1266.55 1081.62,1260.82 \n",
       "  1082.93,1255.63 1084.25,1251.47 1085.56,1248.41 1086.88,1246.33 1088.19,1245.9 1089.51,1247.36 1090.82,1249.24 1092.14,1251.98 1093.45,1257.83 1094.77,1263.67 \n",
       "  1096.08,1266.01 1097.4,1273.64 1098.71,1281.97 1100.03,1283.98 1101.34,1287.35 1102.66,1290.96 1103.97,1292.14 1105.28,1291.99 1106.6,1290.8 1107.91,1288.13 \n",
       "  1109.23,1284.42 1110.54,1279.8 1111.86,1274.65 1113.17,1269.15 1114.49,1263.74 1115.8,1258.71 1117.12,1254.35 1118.43,1250.92 1119.75,1248.65 1121.06,1247.63 \n",
       "  1122.38,1247.93 1123.69,1249.53 1125.01,1252.31 1126.32,1256.1 1127.64,1260.7 1128.95,1265.81 1130.26,1271.08 1131.58,1276.29 1132.89,1281.12 1134.21,1285.06 \n",
       "  1135.52,1288.02 1136.84,1290.12 1138.15,1290.73 1139.47,1289.52 1140.78,1287.86 1142.1,1285.56 1143.41,1280.34 1144.73,1274.85 1146.04,1271.14 1147.36,1266.45 \n",
       "  1148.67,1260.37 1149.99,1256.66 1151.3,1254.34 1152.62,1250.55 1153.93,1249.48 1155.24,1249.5 1156.56,1250.27 1157.87,1252.43 1159.19,1255.68 1160.5,1259.65 \n",
       "  1161.82,1264.21 1163.13,1269.18 1164.45,1274.06 1165.76,1278.59 1167.08,1282.66 1168.39,1285.85 1169.71,1287.84 1171.02,1288.97 1172.34,1289.05 1173.65,1287.19 \n",
       "  1174.97,1284.38 1176.28,1281.44 1177.6,1277.45 1178.91,1272.4 1180.22,1267.87 1181.54,1263.69 1182.85,1259.01 1184.17,1255.58 1185.48,1252.95 1186.8,1251.17 \n",
       "  1188.11,1250.58 1189.43,1251.14 1190.74,1252.77 1192.06,1255.41 1193.37,1258.91 1194.69,1263.01 1196,1267.46 1197.32,1272.06 1198.63,1276.48 1199.95,1280.4 \n",
       "  1201.26,1283.65 1202.58,1286.07 1203.89,1287.37 1205.2,1287.46 1206.52,1286.7 1207.83,1284.89 1209.15,1281.59 1210.46,1277.93 1211.78,1274.67 1213.09,1269.7 \n",
       "  1214.41,1264.6 1215.72,1261.58 1217.04,1258.27 1218.35,1254.19 1219.67,1252.76 1220.98,1252.97 1222.3,1252.2 1223.61,1253.15 1224.93,1255.55 1226.24,1258.42 \n",
       "  1227.56,1261.94 1228.87,1266.05 1230.18,1270.29 1231.5,1274.4 1232.81,1278.32 1234.13,1281.66 1235.44,1284.08 1236.76,1285.68 1238.07,1286.33 1239.39,1285.72 \n",
       "  1240.7,1284.24 1242.02,1282.23 1243.33,1278.92 1244.65,1274.6 1245.96,1271.14 1247.28,1267.54 1248.59,1262.84 1249.91,1259.3 1251.22,1257.33 1252.54,1254.75 \n",
       "  1253.85,1252.82 1255.17,1253.24 1256.48,1254.09 1257.79,1255.53 1259.11,1258.06 1260.42,1261.25 1261.74,1264.85 1263.05,1268.77 1264.37,1272.74 1265.68,1276.41 \n",
       "  1267,1279.65 1268.31,1282.33 1269.63,1284.1 1270.94,1284.98 1272.26,1285.06 1273.57,1283.93 1274.89,1281.7 1276.2,1279.4 1277.52,1276.52 1278.83,1271.84 \n",
       "  1280.15,1268.56 1281.46,1265.82 1282.77,1261.21 1284.09,1257.81 1285.4,1257.11 1286.72,1255.32 1288.03,1254.06 1289.35,1254.78 1290.66,1255.96 1291.98,1257.91 \n",
       "  1293.29,1260.69 1294.61,1263.92 1295.92,1267.45 1297.24,1271.12 1298.55,1274.68 1299.87,1277.86 1301.18,1280.53 1302.5,1282.53 1303.81,1283.67 1305.13,1283.92 \n",
       "  1306.44,1283.35 1307.75,1281.82 1309.07,1279.46 1310.38,1276.76 1311.7,1273.64 1313.01,1269.73 1314.33,1266.22 1315.64,1263.8 1316.96,1260.3 1318.27,1257.25 \n",
       "  1319.59,1256.68 1320.9,1256.08 1322.22,1254.84 1323.53,1256.39 1324.85,1258.22 1326.16,1260.21 1327.48,1263.11 1328.79,1266.39 1330.11,1269.72 1331.42,1273.08 \n",
       "  1332.73,1276.26 1334.05,1278.88 1335.36,1280.93 1336.68,1282.37 1337.99,1282.93 1339.31,1282.59 1340.62,1281.62 1341.94,1279.79 1343.25,1277.01 1344.57,1274.24 \n",
       "  1345.88,1271.61 1347.2,1267.86 1348.51,1264.27 1349.83,1262.12 1351.14,1259.79 1352.46,1257.23 1353.77,1256.6 1355.09,1256.99 1356.4,1256.91 1357.71,1258.04 \n",
       "  1359.03,1260.14 1360.34,1262.56 1361.66,1265.39 1362.97,1268.54 1364.29,1271.69 1365.6,1274.65 1366.92,1277.36 1368.23,1279.54 1369.55,1281 1370.86,1281.8 \n",
       "  1372.18,1281.86 1373.49,1281.02 1374.81,1279.56 1376.12,1277.71 1377.44,1275.02 1378.75,1271.75 1380.07,1269.06 1381.38,1266.36 1382.69,1263.1 1384.01,1260.71 \n",
       "  1385.32,1259.4 1386.64,1257.87 1387.95,1256.93 1389.27,1257.53 1390.58,1258.51 1391.9,1259.96 1393.21,1262.12 1394.53,1264.7 1395.84,1267.51 1397.16,1270.46 \n",
       "  1398.47,1273.34 1399.79,1275.92 1401.1,1278.09 1402.42,1279.77 1403.73,1280.73 1405.05,1281.01 1406.36,1280.67 1407.67,1279.49 1408.99,1277.56 1410.3,1275.57 \n",
       "  1411.62,1273.2 1412.93,1269.77 1414.25,1267.28 1415.56,1265.21 1416.88,1262.1 1418.19,1259.89 1419.51,1259.48 1420.82,1258.52 1422.14,1257.55 1423.45,1258.84 \n",
       "  1424.77,1260.23 1426.08,1261.79 1427.4,1264.09 1428.71,1266.69 1430.03,1269.36 1431.34,1272.07 1432.65,1274.64 1433.97,1276.78 1435.28,1278.47 1436.6,1279.69 \n",
       "  1437.91,1280.2 1439.23,1280 1440.54,1279.29 1441.86,1277.88 1443.17,1275.69 1444.49,1273.53 1445.8,1271.43 1447.12,1268.41 1448.43,1265.52 1449.75,1263.76 \n",
       "  1451.06,1261.83 1452.38,1259.72 1453.69,1259.18 1455.01,1259.4 1456.32,1259.28 1457.63,1260.14 1458.95,1261.77 1460.26,1263.67 1461.58,1265.92 1462.89,1268.44 \n",
       "  1464.21,1270.96 1465.52,1273.36 1466.84,1275.56 1468.15,1277.35 1469.47,1278.58 1470.78,1279.28 1472.1,1279.38 1473.41,1278.78 1474.73,1277.66 1476.04,1276.23 \n",
       "  1477.36,1274.1 1478.67,1271.51 1479.99,1269.36 1481.3,1267.17 1482.62,1264.54 1483.93,1262.59 1485.24,1261.48 1486.56,1260.2 1487.87,1259.39 1489.19,1259.81 \n",
       "  1490.5,1260.54 1491.82,1261.65 1493.13,1263.35 1494.45,1265.39 1495.76,1267.63 1497.08,1269.99 1498.39,1272.31 1499.71,1274.41 1501.02,1276.19 1502.34,1277.58 \n",
       "  1503.65,1278.4 1504.97,1278.64 1506.28,1278.43 1507.6,1277.57 1508.91,1276.03 1510.22,1274.47 1511.54,1272.73 1512.85,1270.18 1514.17,1267.71 1515.48,1265.96 \n",
       "  1516.8,1263.98 1518.11,1261.96 1519.43,1261.12 1520.74,1260.8 1522.06,1260.38 1523.37,1260.76 1524.69,1261.8 1526,1263.17 1527.32,1264.92 1528.63,1266.97 \n",
       "  1529.95,1269.14 1531.26,1271.29 1532.58,1273.36 1533.89,1275.16 1535.2,1276.54 1536.52,1277.52 1537.83,1278.03 1539.15,1277.9 1540.46,1277.3 1541.78,1276.38 \n",
       "  1543.09,1274.75 1544.41,1272.63 1545.72,1270.89 1547.04,1269.01 1548.35,1266.57 1549.67,1264.69 1550.98,1263.52 1552.3,1262.05 1553.61,1260.95 1554.93,1260.99 \n",
       "  1556.24,1261.27 1557.56,1261.88 1558.87,1263.07 1560.18,1264.62 1561.5,1266.42 1562.81,1268.41 1564.13,1270.46 1565.44,1272.39 1566.76,1274.14 1568.07,1275.62 \n",
       "  1569.39,1276.66 1570.7,1277.21 1572.02,1277.41 1573.33,1277.01 1574.65,1275.97 1575.96,1274.88 1577.28,1273.46 1578.59,1271.38 1579.91,1269.41 1581.22,1267.77 \n",
       "  1582.54,1265.81 1583.85,1263.97 1585.16,1262.91 1586.48,1262.08 1587.79,1261.57 1589.11,1261.63 1590.42,1262.14 1591.74,1263.05 1593.05,1264.34 1594.37,1265.91 \n",
       "  1595.68,1267.67 1597,1269.55 1598.31,1271.4 1599.63,1273.12 1600.94,1274.61 1602.26,1275.76 1603.57,1276.52 1604.89,1276.83 1606.2,1276.68 1607.52,1276.07 \n",
       "  1608.83,1275.06 1610.14,1273.7 1611.46,1272.09 1612.77,1270.31 1614.09,1268.5 1615.4,1266.76 1616.72,1265.14 1618.03,1263.82 1619.35,1262.86 1620.66,1262.22 \n",
       "  1621.98,1262.08 1623.29,1262.51 1624.61,1263.11 1625.92,1263.96 1627.24,1265.7 1628.55,1267.52 1629.87,1268.86 1631.18,1270.5 1632.5,1272.49 1633.81,1273.78 \n",
       "  1635.12,1274.65 1636.44,1275.85 1637.75,1276.2 1639.07,1276.16 1640.38,1275.83 1641.7,1275.03 1643.01,1273.87 1644.33,1272.49 1645.64,1270.87 1646.96,1269.14 \n",
       "  1648.27,1267.53 1649.59,1266.01 1650.9,1264.61 1652.22,1263.61 1653.53,1262.93 1654.85,1262.62 1656.16,1262.73 1657.48,1263.23 1658.79,1264.1 1660.1,1265.3 \n",
       "  1661.42,1266.73 1662.73,1268.3 1664.05,1269.93 1665.36,1271.53 1666.68,1272.96 1667.99,1274.15 1669.31,1275.09 1670.62,1275.65 1671.94,1275.78 1673.25,1275.57 \n",
       "  1674.57,1275 1675.88,1273.92 1677.2,1272.65 1678.51,1271.48 1679.83,1269.78 1681.14,1267.98 1682.46,1266.81 1683.77,1265.59 1685.08,1264.13 1686.4,1263.5 \n",
       "  1687.71,1263.45 1689.03,1263.14 1690.34,1263.41 1691.66,1264.19 1692.97,1265.16 1694.29,1266.39 1695.6,1267.83 1696.92,1269.33 1698.23,1270.81 1699.55,1272.23 \n",
       "  1700.86,1273.45 1702.18,1274.38 1703.49,1275.01 1704.81,1275.36 1706.12,1275.22 1707.44,1274.76 1708.75,1274.14 1710.06,1272.98 1711.38,1271.41 1712.69,1270.26 \n",
       "  1714.01,1269.03 1715.32,1267.24 1716.64,1265.95 1717.95,1265.28 1719.27,1264.24 1720.58,1263.4 1721.9,1263.54 1723.21,1263.79 1724.53,1264.22 1725.84,1265.07 \n",
       "  1727.16,1266.18 1728.47,1267.43 1729.79,1268.81 1731.1,1270.24 1732.42,1271.56 1733.73,1272.74 1735.05,1273.75 1736.36,1274.44 1737.67,1274.77 1738.99,1274.9 \n",
       "  1740.3,1274.59 1741.62,1273.78 1742.93,1273.06 1744.25,1272.12 1745.56,1270.59 1746.88,1269.21 1748.19,1268.18 1749.51,1266.79 1750.82,1265.45 1752.14,1264.81 \n",
       "  1753.45,1264.27 1754.77,1263.93 1756.08,1264.01 1757.4,1264.4 1758.71,1265.05 1760.03,1265.96 1761.34,1267.06 1762.65,1268.29 1763.97,1269.59 1765.28,1270.87 \n",
       "  1766.6,1272.04 1767.91,1273.05 1769.23,1273.83 1770.54,1274.32 1771.86,1274.5 1773.17,1274.37 1774.49,1273.93 1775.8,1273.2 1777.12,1272.25 1778.43,1271.12 \n",
       "  1779.75,1269.88 1781.06,1268.63 1782.38,1267.43 1783.69,1266.33 1785.01,1265.44 1786.32,1264.8 1787.63,1264.38 1788.95,1264.31 1790.26,1264.64 1791.58,1265.08 \n",
       "  1792.89,1265.68 1794.21,1266.91 1795.52,1268.18 1796.84,1269.11 1798.15,1270.24 1799.47,1271.61 1800.78,1272.48 1802.1,1273.06 1803.41,1273.87 1804.73,1274.08 \n",
       "  1806.04,1274.02 1807.36,1273.77 1808.67,1273.2 1809.99,1272.38 1811.3,1271.41 1812.61,1270.29 1813.93,1269.11 1815.24,1267.97 1816.56,1266.92 1817.87,1265.99 \n",
       "  1819.19,1265.31 1820.5,1264.89 1821.82,1264.66 1823.13,1264.78 1824.45,1265.29 1825.76,1265.83 1827.08,1266.63 1828.39,1267.72 1829.71,1268.74 1831.02,1269.76 \n",
       "  1832.34,1270.96 1833.65,1271.91 1834.97,1272.7 1836.28,1273.33 1837.59,1273.69 1838.91,1273.77 1840.22,1273.6 1841.54,1273.14 1842.85,1272.45 1844.17,1271.6 \n",
       "  1845.48,1270.6 1846.8,1269.51 1848.11,1268.45 1849.43,1267.46 1850.74,1266.5 1852.06,1265.8 1853.37,1265.44 1854.69,1265.08 1856,1265.04 1857.32,1265.4 \n",
       "  1858.63,1265.81 1859.95,1266.49 1861.26,1267.4 1862.57,1268.38 1863.89,1269.41 1865.2,1270.45 1866.52,1271.4 1867.83,1272.22 1869.15,1272.87 1870.46,1273.29 \n",
       "  1871.78,1273.45 1873.09,1273.37 1874.41,1273.05 1875.72,1272.49 1877.04,1271.73 1878.35,1270.87 1879.67,1269.89 1880.98,1268.83 1882.3,1267.89 1883.61,1267.03 \n",
       "  1884.93,1266.28 1886.24,1265.73 1887.55,1265.42 1888.87,1265.32 1890.18,1265.46 1891.5,1265.87 1892.81,1266.47 1894.13,1267.19 1895.44,1268.11 1896.76,1269.07 \n",
       "  1898.07,1269.91 1899.39,1270.93 1900.7,1271.86 1902.02,1272.35 1903.33,1272.78 1904.65,1273.22 1905.96,1273.15 1907.28,1272.75 1908.59,1272.45 1909.91,1271.86 \n",
       "  1911.22,1271.03 1912.53,1270.16 1913.85,1269.25 1915.16,1268.32 1916.48,1267.46 1917.79,1266.73 1919.11,1266.15 1920.42,1265.76 1921.74,1265.61 1923.05,1265.67 \n",
       "  1924.37,1265.94 1925.68,1266.44 1927,1267.11 1928.31,1267.86 1929.63,1268.73 1930.94,1269.66 1932.26,1270.52 1933.57,1271.3 1934.89,1272 1936.2,1272.5 \n",
       "  1937.51,1272.77 1938.83,1272.87 1940.14,1272.77 1941.46,1272.39 1942.77,1271.86 1944.09,1271.25 1945.4,1270.41 1946.72,1269.43 1948.03,1268.68 1949.35,1267.88 \n",
       "  1950.66,1267.04 1951.98,1266.55 1953.29,1266.24 1954.61,1265.86 1955.92,1265.89 1957.24,1266.11 1958.55,1266.46 1959.87,1267.01 1961.18,1267.71 1962.5,1268.48 \n",
       "  1963.81,1269.31 1965.12,1270.15 1966.44,1270.91 1967.75,1271.58 1969.07,1272.12 1970.38,1272.45 1971.7,1272.59 1973.01,1272.58 1974.33,1272.35 1975.64,1271.88 \n",
       "  1976.96,1271.3 1978.27,1270.63 1979.59,1269.82 1980.9,1269.02 1982.22,1268.27 1983.53,1267.53 1984.85,1266.93 1986.16,1266.48 1987.48,1266.2 1988.79,1266.11 \n",
       "  1990.1,1266.21 1991.42,1266.51 1992.73,1266.97 1994.05,1267.57 1995.36,1268.28 1996.68,1269.04 1997.99,1269.81 1999.31,1270.55 2000.62,1271.21 2001.94,1271.75 \n",
       "  2003.25,1272.14 2004.57,1272.34 2005.88,1272.35 2007.2,1272.22 2008.51,1271.89 2009.83,1271.37 2011.14,1270.77 2012.46,1270.11 2013.77,1269.28 2015.08,1268.5 \n",
       "  2016.4,1268.03 2017.71,1267.3 2019.03,1266.65 2020.34,1266.51 2021.66,1266.39 2022.97,1266.36 2024.29,1266.59 2025.6,1266.97 2026.92,1267.45 2028.23,1268.08 \n",
       "  2029.55,1268.79 2030.86,1269.49 2032.18,1270.2 2033.49,1270.87 2034.81,1271.4 2036.12,1271.81 2037.44,1272.08 2038.75,1272.17 2040.06,1272.09 2041.38,1271.83 \n",
       "  2042.69,1271.43 2044.01,1270.89 2045.32,1270.26 2046.64,1269.58 2047.95,1268.88 2049.27,1268.22 2050.58,1267.63 2051.9,1267.14 2053.21,1266.78 2054.53,1266.58 \n",
       "  2055.84,1266.57 2057.16,1266.69 2058.47,1266.95 2059.79,1267.44 2061.1,1268.01 2062.42,1268.57 2063.73,1269.23 2065.04,1269.91 2066.36,1270.52 2067.67,1271.06 \n",
       "  2068.99,1271.52 2070.3,1271.81 2071.62,1271.9 2072.93,1271.94 2074.25,1271.75 2075.56,1271.27 2076.88,1270.95 2078.19,1270.55 2079.51,1269.72 2080.82,1269.04 \n",
       "  2082.14,1268.66 2083.45,1267.98 2084.77,1267.27 2086.08,1267.08 2087.4,1266.88 2088.71,1266.73 2090.02,1266.81 2091.34,1267.04 2092.65,1267.38 2093.97,1267.85 \n",
       "  2095.28,1268.39 2096.6,1268.98 2097.91,1269.6 2099.23,1270.2 2100.54,1270.74 2101.86,1271.19 2103.17,1271.53 2104.49,1271.72 2105.8,1271.77 2107.12,1271.67 \n",
       "  2108.43,1271.42 2109.75,1271.04 2111.06,1270.57 2112.38,1270.01 2113.69,1269.42 2115,1268.83 2116.32,1268.27 2117.63,1267.77 2118.95,1267.37 2120.26,1267.09 \n",
       "  2121.58,1266.95 2122.89,1266.95 2124.21,1267.1 2125.52,1267.38 2126.84,1267.76 2128.15,1268.25 2129.47,1268.82 2130.78,1269.36 2132.1,1269.9 2133.41,1270.47 \n",
       "  2134.73,1270.93 2136.04,1271.23 2137.36,1271.48 2138.67,1271.59 2139.98,1271.5 2141.3,1271.34 2142.61,1271.08 2143.93,1270.63 2145.24,1270.12 2146.56,1269.62 \n",
       "  2147.87,1269.06 2149.19,1268.52 2150.5,1268.05 2151.82,1267.64 2153.13,1267.32 2154.45,1267.16 2155.76,1267.13 2157.08,1267.19 2158.39,1267.4 2159.71,1267.75 \n",
       "  2161.02,1268.16 2162.34,1268.64 2163.65,1269.19 2164.96,1269.72 2166.28,1270.2 2167.59,1270.65 2168.91,1271.01 2170.22,1271.27 2171.54,1271.4 2172.85,1271.41 \n",
       "  2174.17,1271.28 2175.48,1271.04 2176.8,1270.7 2178.11,1270.28 2179.43,1269.8 2180.74,1269.29 2182.06,1268.78 2183.37,1268.31 2184.69,1267.9 2186,1267.58 \n",
       "  2187.32,1267.36 2188.63,1267.26 2189.94,1267.29 2191.26,1267.44 2192.57,1267.7 2193.89,1268.06 2195.2,1268.49 2196.52,1268.97 2197.83,1269.47 2199.15,1269.95 \n",
       "  2200.46,1270.39 2201.78,1270.76 2203.09,1271.04 2204.41,1271.21 2205.72,1271.27 2207.04,1271.2 2208.35,1271.02 2209.67,1270.74 2210.98,1270.37 2212.3,1269.92 \n",
       "  2213.61,1269.47 2214.93,1269.01 2216.24,1268.52 2217.55,1268.12 2218.87,1267.82 2220.18,1267.57 2221.5,1267.43 2222.81,1267.44 2224.13,1267.53 2225.44,1267.71 \n",
       "  2226.76,1268.04 2228.07,1268.43 2229.39,1268.83 2230.7,1269.29 2232.02,1269.77 2233.33,1270.17 2234.65,1270.52 2235.96,1270.85 2237.28,1271.04 2238.59,1271.11 \n",
       "  2239.91,1271.1 2241.22,1270.98 2242.53,1270.72 2243.85,1270.41 2245.16,1270.05 2246.48,1269.6 2247.79,1269.15 2249.11,1268.74 2250.42,1268.35 2251.74,1268.01 \n",
       "  2253.05,1267.76 2254.37,1267.6 2255.68,1267.54 2257,1267.6 2258.31,1267.76 2259.63,1268.01 2260.94,1268.33 2262.26,1268.72 2263.57,1269.14 2264.89,1269.56 \n",
       "  2266.2,1269.98 2267.51,1270.35 2268.83,1270.61 2270.14,1270.83 2271.46,1270.99 2272.77,1270.98 2274.09,1270.87 2275.4,1270.72 2276.72,1270.46 2278.03,1270.12 \n",
       "  2279.35,1269.74 2280.66,1269.33 2281.98,1268.92 2283.29,1268.54 2284.61,1268.21 2285.92,1267.94 2287.24,1267.76 2288.55,1267.68 2289.87,1267.69 2291.18,1267.79 \n",
       "  2292.49,1268.01 2293.59,1268.26 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip230)\" d=\"\n",
       "M1969.55 214.069 L2283.07 214.069 L2283.07 93.1086 L1969.55 93.1086  Z\n",
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       "  1969.55,214.069 2283.07,214.069 2283.07,93.1086 1969.55,93.1086 1969.55,214.069 \n",
       "  \"/>\n",
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       "  1992.78,153.589 2132.14,153.589 \n",
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       "<path clip-path=\"url(#clip230)\" d=\"M 0 0 M2168.57 170.869 L2155.37 136.309 L2160.26 136.309 L2171.2 165.406 L2182.18 136.309 L2187.04 136.309 L2173.87 170.869 L2168.57 170.869 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M2211.2 178.739 L2211.2 182.049 L2186.57 182.049 L2186.57 178.739 L2211.2 178.739 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M2220.3 166.933 L2236.62 166.933 L2236.62 170.869 L2214.68 170.869 L2214.68 166.933 Q2217.34 164.179 2221.92 159.549 Q2226.53 154.896 2227.71 153.554 Q2229.95 151.031 2230.83 149.295 Q2231.74 147.535 2231.74 145.846 Q2231.74 143.091 2229.79 141.355 Q2227.87 139.619 2224.77 139.619 Q2222.57 139.619 2220.12 140.383 Q2217.69 141.147 2214.91 142.697 L2214.91 137.975 Q2217.73 136.841 2220.19 136.262 Q2222.64 135.684 2224.68 135.684 Q2230.05 135.684 2233.24 138.369 Q2236.44 141.054 2236.44 145.545 Q2236.44 147.674 2235.63 149.596 Q2234.84 151.494 2232.73 154.086 Q2232.15 154.758 2229.05 157.975 Q2225.95 161.17 2220.3 166.933 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
      ]
     },
     "metadata": {},
     "execution_count": 8
    }
   ],
   "cell_type": "code",
   "source": [
    "volt = get_voltagemag_series(sim, 102);\n",
    "Plots.plot(volt, xlabel = \"time\", ylabel = \"Voltage [pu]\", label = \"V_2\")"
   ],
   "metadata": {},
   "execution_count": 8
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Optional: Small Signal Analysis"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "`PowerSimulationsDynamics` uses automatic differentiation to compute the reduced Jacobian\n",
    "of the system for the differential states. This can be used to analyze the local stability\n",
    "of the linearized system. We need to re-initialize our simulation:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ Info: Serialized time series data to /var/folders/27/2jr8c7gn4j72fvrg4qt81zrw8w_711/T/jl_ItVYcx/sys_time_series_storage.h5.\n",
      "[ Info: Serialized System to /var/folders/27/2jr8c7gn4j72fvrg4qt81zrw8w_711/T/jl_ItVYcx/sys.json\n",
      "[ Info: Loaded time series from storage file existing=sys_time_series_storage.h5 new=/var/folders/27/2jr8c7gn4j72fvrg4qt81zrw8w_711/T/jl_uOiNgv\n",
      "┌ Warning: struct DynamicGenerator does not exist in validation configuration file, validation skipped\n",
      "└ @ InfrastructureSystems ~/.julia/packages/InfrastructureSystems/v75Hd/src/validation.jl:51\n",
      "┌ Warning: struct DynamicGenerator does not exist in validation configuration file, validation skipped\n",
      "└ @ InfrastructureSystems ~/.julia/packages/InfrastructureSystems/v75Hd/src/validation.jl:51\n",
      "┌ Warning: There are no ElectricLoad Components in the System\n",
      "└ @ PowerSystems ~/.julia/packages/PowerSystems/4kGrw/src/utils/IO/system_checks.jl:56\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "The system is small signal stable\n"
     },
     "metadata": {},
     "execution_count": 9
    }
   ],
   "cell_type": "code",
   "source": [
    "sim2 = PSID.Simulation(pwd(), omib_sys, time_span, perturbation_trip)\n",
    "\n",
    "small_sig = small_signal_analysis(sim2)"
   ],
   "metadata": {},
   "execution_count": 9
  },
  {
   "cell_type": "markdown",
   "source": [
    "The `small_sig` result can report the reduced jacobian for ``\\delta`` and ``\\omega``,"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "2×2 Array{Float64,2}:\n  0.0       376.991\n -0.466763   -0.317662"
     },
     "metadata": {},
     "execution_count": 10
    }
   ],
   "cell_type": "code",
   "source": [
    "small_sig.reduced_jacobian"
   ],
   "metadata": {},
   "execution_count": 10
  },
  {
   "cell_type": "markdown",
   "source": [
    "and can also be used to report the eigenvalues of the reduced linearized system:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "2-element Array{Complex{Float64},1}:\n -0.15883100381194412 - 13.264252860693972im\n -0.15883100381194412 + 13.264252860693972im"
     },
     "metadata": {},
     "execution_count": 11
    }
   ],
   "cell_type": "code",
   "source": [
    "small_sig.eigenvalues"
   ],
   "metadata": {},
   "execution_count": 11
  },
  {
   "cell_type": "markdown",
   "source": [
    "---\n",
    "\n",
    "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*"
   ],
   "metadata": {}
  }
 ],
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