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Initial release: parquet traces + manifests + grid cases
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"""Power System Case: 118zh
Data Source: MATPOWER case file
Base MVA: 10.0 MVA
Base kV: 11.0 kV
Unit conversions applied:
- Pd/Qd converted from kW/kVar to MW/MVAr (divided by 1000)
- Pd converted from kVA to MW/MVAr (divided by 1000)
- r/x converted from Ohms to p.u. (Z_pu = Z_ohm * Sbase / Vbase^2)
Nodes (bus) columns:
id, type, Pd, Qd, Gs, Bs, Vm, Va, baseKV, Vmax, Vmin
- type: 1=PQ, 2=PV, 3=Slack
- Pd/Qd: Active/Reactive power demand (MW/MVAr)
- Gs/Bs: Shunt conductance/susceptance (MW/MVAr at V=1.0 p.u.)
- Vm: Voltage magnitude (p.u.)
- Va: Voltage angle (degrees)
- baseKV: Base voltage (kV)
- Vmax/Vmin: Voltage limits (p.u.)
Units (generators) columns:
id, bus_id, Pg, Qg, Qmax, Qmin, Vg, mBase, status, Pmax, Pmin, mc_a, mc_b, mc_c
- Pg/Qg: Active/Reactive power output (MW/MVAr)
- Qmax/Qmin: Reactive power limits (MVAr)
- Vg: Voltage setpoint (p.u.)
- mBase: Machine base (MVA)
- status: >0 in-service, <=0 out-of-service
- Pmax/Pmin: Active power limits (MW)
- mc_a/mc_b/mc_c: Marginal cost coefficients (quadratic)
Lines (branches) columns:
id, from, to, r, x, b, rateA, ratio, angle, status, floor, cap
- r/x: Resistance/Reactance (p.u.)
- b: Line charging susceptance (p.u.)
- rateA: Long-term rating (MVA)
- ratio: Transformer tap ratio (0 for line)
- angle: Transformer phase shift (degrees)
- status: 1=in-service, 0=out-of-service
- floor/cap: Power flow limits (MW)
Loads columns:
id, bus_id, Pd, Qd, mc_a, mc_b, mc_c, d_max, d_min
- Pd/Qd: Active/Reactive power demand (MW/MVAr)
- mc_a/mc_b/mc_c: Marginal utility coefficients
- d_max/d_min: Demand limits (MW)
"""
from math import inf
from powerzoo.case.CaseBase import ClearCase, DataFrame
class Case118zh(ClearCase):
GRID_TYPE = "distribution"
BUS_COUNT = 118
VOLTAGE_LEVEL = "MV"
SOURCE = "MATPOWER"
DESCRIPTION = "118-bus Zhang distribution system"
def __init__(self, *args, **kwargs):
# System base values
self.baseMVA = 10.0
self.baseKV = 11.0
# Node (bus) data
self.nodes = DataFrame(
['id', 'type', 'Pd', 'Qd', 'Gs', 'Bs', 'Vm', 'Va', 'baseKV', 'Vmax', 'Vmin'],
[[1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 11.0, 1.0, 1.0],
[2.0, 1.0, 0.13384000000000001, 0.10114, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[3.0, 1.0, 0.016214, 0.011292, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[4.0, 1.0, 0.034315, 0.021845, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[5.0, 1.0, 0.07301600000000001, 0.06360199999999999, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[6.0, 1.0, 0.1442, 0.068604, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[7.0, 1.0, 0.10447, 0.061725, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[8.0, 1.0, 0.028547, 0.011503, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[9.0, 1.0, 0.08756, 0.051073, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[10.0, 1.0, 0.1982, 0.10676999999999999, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[11.0, 1.0, 0.1468, 0.07599500000000001, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[12.0, 1.0, 0.02604, 0.018687000000000002, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[13.0, 1.0, 0.0521, 0.023219999999999998, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[14.0, 1.0, 0.1419, 0.1175, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[15.0, 1.0, 0.02187, 0.02879, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[16.0, 1.0, 0.03337, 0.026449999999999998, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[17.0, 1.0, 0.03243, 0.02523, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[18.0, 1.0, 0.020234000000000002, 0.011906, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[19.0, 1.0, 0.15694, 0.078523, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[20.0, 1.0, 0.5462899999999999, 0.3514, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[21.0, 1.0, 0.18031, 0.16419999999999998, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[22.0, 1.0, 0.093167, 0.054594000000000004, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[23.0, 1.0, 0.08518, 0.03965, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[24.0, 1.0, 0.1681, 0.095178, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[25.0, 1.0, 0.12511, 0.15022, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[26.0, 1.0, 0.016030000000000003, 0.02462, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[27.0, 1.0, 0.02603, 0.02462, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[28.0, 1.0, 0.59456, 0.52262, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[29.0, 1.0, 0.12062, 0.059116999999999996, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[30.0, 1.0, 0.10238, 0.099554, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[31.0, 1.0, 0.5134, 0.3185, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[32.0, 1.0, 0.47525, 0.45614, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[33.0, 1.0, 0.15143, 0.13679, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[34.0, 1.0, 0.20538, 0.083302, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[35.0, 1.0, 0.1316, 0.093082, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[36.0, 1.0, 0.44839999999999997, 0.36979, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[37.0, 1.0, 0.44051999999999997, 0.32164, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[38.0, 1.0, 0.11254, 0.055134, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[39.0, 1.0, 0.053963000000000004, 0.038998, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[40.0, 1.0, 0.39305, 0.3426, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[41.0, 1.0, 0.32674000000000003, 0.27856000000000003, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[42.0, 1.0, 0.53626, 0.24024, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[43.0, 1.0, 0.076247, 0.066562, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[44.0, 1.0, 0.053520000000000005, 0.03976, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[45.0, 1.0, 0.040328, 0.031964, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[46.0, 1.0, 0.039653, 0.020758, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[47.0, 1.0, 0.06619499999999999, 0.042360999999999996, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[48.0, 1.0, 0.073904, 0.051653, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[49.0, 1.0, 0.11477, 0.057965, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[50.0, 1.0, 0.91837, 1.2050999999999998, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[51.0, 1.0, 0.21030000000000001, 0.14665999999999998, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[52.0, 1.0, 0.06668, 0.056608, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[53.0, 1.0, 0.042207, 0.040184, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[54.0, 1.0, 0.43374, 0.28341000000000005, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[55.0, 1.0, 0.0621, 0.02686, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[56.0, 1.0, 0.09246, 0.08838, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[57.0, 1.0, 0.085188, 0.055436, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[58.0, 1.0, 0.3453, 0.3324, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[59.0, 1.0, 0.0225, 0.016829999999999998, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[60.0, 1.0, 0.080551, 0.049156, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[61.0, 1.0, 0.09586, 0.09075799999999999, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[62.0, 1.0, 0.06292, 0.047700000000000006, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[63.0, 1.0, 0.4788, 0.46374, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[64.0, 1.0, 0.12093999999999999, 0.052006000000000004, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[65.0, 1.0, 0.13911, 0.10034, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[66.0, 1.0, 0.39177999999999996, 0.1935, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[67.0, 1.0, 0.027741, 0.026713, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[68.0, 1.0, 0.052814, 0.025257, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[69.0, 1.0, 0.06689, 0.038713000000000004, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[70.0, 1.0, 0.4675, 0.39514, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[71.0, 1.0, 0.59485, 0.23974, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[72.0, 1.0, 0.1325, 0.084363, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[73.0, 1.0, 0.052698999999999996, 0.022482, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[74.0, 1.0, 0.86979, 0.614775, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[75.0, 1.0, 0.031349, 0.029817, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[76.0, 1.0, 0.19238999999999998, 0.12243000000000001, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[77.0, 1.0, 0.06575, 0.04537, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[78.0, 1.0, 0.23815, 0.22322, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[79.0, 1.0, 0.29455000000000003, 0.16247, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[80.0, 1.0, 0.48557, 0.43792000000000003, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[81.0, 1.0, 0.24353, 0.18303, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[82.0, 1.0, 0.24353, 0.18303, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[83.0, 1.0, 0.13425, 0.11929000000000001, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[84.0, 1.0, 0.02271, 0.027960000000000002, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[85.0, 1.0, 0.049513, 0.026515, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[86.0, 1.0, 0.38377999999999995, 0.25716, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[87.0, 1.0, 0.049640000000000004, 0.0206, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[88.0, 1.0, 0.022473, 0.011805999999999999, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[89.0, 1.0, 0.06293, 0.04296, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[90.0, 1.0, 0.030670000000000003, 0.03493, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[91.0, 1.0, 0.06253, 0.06679, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[92.0, 1.0, 0.11456999999999999, 0.081748, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[93.0, 1.0, 0.081292, 0.066526, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[94.0, 1.0, 0.031733, 0.015960000000000002, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[95.0, 1.0, 0.03332, 0.06048, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[96.0, 1.0, 0.53128, 0.22485, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[97.0, 1.0, 0.50703, 0.36742, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[98.0, 1.0, 0.02639, 0.011699999999999999, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[99.0, 1.0, 0.04599, 0.030392, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[100.0, 1.0, 0.10066, 0.047572, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[101.0, 1.0, 0.45648, 0.3503, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[102.0, 1.0, 0.5225599999999999, 0.44929, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[103.0, 1.0, 0.40843, 0.16846, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[104.0, 1.0, 0.14148, 0.13425, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[105.0, 1.0, 0.10443000000000001, 0.066024, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[106.0, 1.0, 0.096793, 0.083647, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[107.0, 1.0, 0.49392, 0.41934, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[108.0, 1.0, 0.22538, 0.13588, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[109.0, 1.0, 0.5092099999999999, 0.38721, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[110.0, 1.0, 0.1885, 0.17346, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[111.0, 1.0, 0.91803, 0.89855, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[112.0, 1.0, 0.30507999999999996, 0.21537, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[113.0, 1.0, 0.054380000000000005, 0.04097, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[114.0, 1.0, 0.21114, 0.19290000000000002, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[115.0, 1.0, 0.067009, 0.053336, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[116.0, 1.0, 0.16207, 0.090321, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[117.0, 1.0, 0.048784999999999995, 0.029155999999999998, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9],
[118.0, 1.0, 0.0339, 0.01898, 0.0, 0.0, 1.0, 0.0, 11.0, 1.1, 0.9]])
# Generator (unit) data
self.units = DataFrame(
['id', 'bus_id', 'Pg', 'Qg', 'Qmax', 'Qmin', 'Vg', 'mBase', 'status', 'Pmax', 'Pmin', 'mc_a', 'mc_b', 'mc_c', 'p_max', 'p_min'],
[[1.0, 1.0, 0.0, 0.0, 10.0, -10.0, 1.0, 100.0, 1.0, 10.0, 0.0, 0.0, 0.0, 20.0, 10.0, 0.0]])
# Branch (line) data
self.lines = DataFrame(
['id', 'from', 'to', 'r', 'x', 'b', 'rateA', 'ratio', 'angle', 'status', 'floor', 'cap'],
[[1.0, 1.0, 2.0, 0.0029752066115702478, 0.0010710743801652892, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[2.0, 2.0, 3.0, 0.0027272727272727275, 0.0009818181818181818, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[3.0, 2.0, 4.0, 0.00371900826446281, 0.0013388429752066115, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[4.0, 4.0, 5.0, 0.0012396694214876034, 0.004462809917355372, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[5.0, 5.0, 6.0, 0.0012396694214876034, 0.004462809917355372, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[6.0, 6.0, 7.0, 0.0012396694214876034, 0.0010330578512396695, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[7.0, 7.0, 8.0, 0.0014876033057851239, 0.0011570247933884298, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[8.0, 8.0, 9.0, 0.0017355371900826448, 0.005206611570247934, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[9.0, 2.0, 10.0, 0.01371900826446281, 0.011107438016528925, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[10.0, 10.0, 11.0, 0.009256198347107438, 0.006520661157024793, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[11.0, 11.0, 12.0, 0.015454545454545455, 0.025867768595041325, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[12.0, 12.0, 13.0, 0.011735537190082643, 0.012495867768595043, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[13.0, 13.0, 14.0, 0.01487603305785124, 0.009752066115702479, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[14.0, 14.0, 15.0, 0.012396694214876033, 0.00371900826446281, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[15.0, 15.0, 16.0, 0.01322314049586777, 0.01487603305785124, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[16.0, 16.0, 17.0, 0.012975206611570249, 0.01413223140495868, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[17.0, 11.0, 18.0, 0.018016528925619835, 0.023553719008264463, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[18.0, 18.0, 19.0, 0.009752066115702479, 0.015289256198347107, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[19.0, 19.0, 20.0, 0.01322314049586777, 0.01619834710743802, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[20.0, 20.0, 21.0, 0.009917355371900827, 0.015619834710743801, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[21.0, 21.0, 22.0, 0.009917355371900827, 0.006520661157024793, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[22.0, 22.0, 23.0, 0.1165289256198347, 0.05975206611570248, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[23.0, 23.0, 24.0, 0.02421487603305785, 0.011140495867768595, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[24.0, 24.0, 25.0, 0.010991735537190083, 0.00859504132231405, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[25.0, 25.0, 26.0, 0.014710743801652892, 0.011074380165289258, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[26.0, 26.0, 27.0, 0.014710743801652892, 0.011074380165289258, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[27.0, 4.0, 28.0, 0.0012396694214876034, 0.0024462809917355373, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[28.0, 28.0, 29.0, 0.0009917355371900827, 0.00228099173553719, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[29.0, 29.0, 30.0, 0.009917355371900827, 0.022859504132231406, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[30.0, 30.0, 31.0, 0.017355371900826446, 0.020082644628099174, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[31.0, 31.0, 32.0, 0.009917355371900827, 0.004462809917355372, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[32.0, 32.0, 33.0, 0.014710743801652892, 0.019338842975206612, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[33.0, 33.0, 34.0, 0.014710743801652892, 0.019338842975206612, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[34.0, 34.0, 35.0, 0.012727272727272728, 0.013388429752066116, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[35.0, 30.0, 36.0, 0.015454545454545455, 0.0215702479338843, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[36.0, 36.0, 37.0, 0.010991735537190083, 0.008181818181818182, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[37.0, 29.0, 38.0, 0.027272727272727275, 0.01603305785123967, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[38.0, 38.0, 39.0, 0.0256198347107438, 0.01603305785123967, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[39.0, 39.0, 40.0, 0.010743801652892562, 0.01603305785123967, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[40.0, 40.0, 41.0, 0.023140495867768597, 0.012396694214876033, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[41.0, 41.0, 42.0, 0.09752066115702479, 0.07024793388429752, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[42.0, 42.0, 43.0, 0.03471074380165289, 0.020132231404958678, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[43.0, 43.0, 44.0, 0.022314049586776862, 0.008033057851239669, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[44.0, 44.0, 45.0, 0.028016528925619837, 0.010090909090909091, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[45.0, 45.0, 46.0, 0.022314049586776862, 0.014702479338842975, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[46.0, 35.0, 47.0, 0.017355371900826446, 0.011429752066115703, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[47.0, 47.0, 48.0, 0.009917355371900827, 0.006520661157024793, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[48.0, 48.0, 49.0, 0.012396694214876033, 0.00815702479338843, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[49.0, 49.0, 50.0, 0.012396694214876033, 0.00815702479338843, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[50.0, 50.0, 51.0, 0.019834710743801654, 0.013066115702479338, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[51.0, 51.0, 52.0, 0.009917355371900827, 0.006520661157024793, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[52.0, 52.0, 53.0, 0.03347107438016529, 0.012049586776859505, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[53.0, 53.0, 54.0, 0.03347107438016529, 0.012049586776859505, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[54.0, 29.0, 55.0, 0.03231404958677686, 0.01165289256198347, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[55.0, 55.0, 56.0, 0.03355371900826447, 0.012074380165289257, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[56.0, 56.0, 57.0, 0.03355371900826447, 0.012074380165289257, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[57.0, 57.0, 58.0, 0.05834710743801653, 0.04513223140495868, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[58.0, 58.0, 59.0, 0.027933884297520663, 0.010066115702479339, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[59.0, 59.0, 60.0, 0.027933884297520663, 0.010066115702479339, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[60.0, 60.0, 61.0, 0.017107438016528927, 0.006173553719008265, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[61.0, 61.0, 62.0, 0.02041322314049587, 0.07373553719008265, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[62.0, 1.0, 63.0, 0.0023140495867768596, 0.0034545454545454545, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[63.0, 63.0, 64.0, 0.009669421487603306, 0.01666115702479339, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[64.0, 64.0, 65.0, 0.021074380165289258, 0.007586776859504133, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[65.0, 65.0, 66.0, 0.017355371900826446, 0.006272727272727273, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[66.0, 66.0, 67.0, 0.031652892561983476, 0.011404958677685952, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[67.0, 67.0, 68.0, 0.04165289256198347, 0.027297520661157024, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[68.0, 68.0, 69.0, 0.03355371900826447, 0.012074380165289257, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[69.0, 69.0, 70.0, 0.07950413223140496, 0.06289256198347108, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[70.0, 70.0, 71.0, 0.013636363636363637, 0.0049586776859504135, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[71.0, 71.0, 72.0, 0.025041322314049586, 0.009024793388429753, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[72.0, 72.0, 73.0, 0.025041322314049586, 0.009024793388429753, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[73.0, 73.0, 74.0, 0.01702479338842975, 0.011900826446280991, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[74.0, 74.0, 75.0, 0.01925619834710744, 0.006942148760330579, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[75.0, 75.0, 76.0, 0.04884297520661157, 0.014652892561983473, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[76.0, 76.0, 77.0, 0.010413223140495868, 0.0037438016528925622, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[77.0, 64.0, 78.0, 0.046198347107438024, 0.030471074380165292, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[78.0, 78.0, 79.0, 0.015371900826446282, 0.010140495867768596, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[79.0, 79.0, 80.0, 0.015371900826446282, 0.010140495867768596, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[80.0, 80.0, 81.0, 0.021487603305785124, 0.011487603305785125, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[81.0, 81.0, 82.0, 0.012727272727272728, 0.012231404958677685, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[82.0, 82.0, 83.0, 0.01900826446280992, 0.010578512396694216, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[83.0, 83.0, 84.0, 0.020826446280991735, 0.008760330578512396, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[84.0, 84.0, 85.0, 0.01487603305785124, 0.012231404958677685, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[85.0, 79.0, 86.0, 0.01322314049586777, 0.015041322314049586, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[86.0, 86.0, 87.0, 0.01652892561983471, 0.01900826446280992, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[87.0, 87.0, 88.0, 0.01322314049586777, 0.03247933884297521, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[88.0, 65.0, 89.0, 0.05528925619834711, 0.01993388429752066, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[89.0, 89.0, 90.0, 0.021983471074380166, 0.010140495867768596, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[90.0, 90.0, 91.0, 0.021983471074380166, 0.010140495867768596, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[91.0, 91.0, 92.0, 0.021983471074380166, 0.010140495867768596, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[92.0, 92.0, 93.0, 0.021983471074380166, 0.010140495867768596, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[93.0, 93.0, 94.0, 0.01925619834710744, 0.00950413223140496, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[94.0, 94.0, 95.0, 0.040991735537190085, 0.011404958677685952, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[95.0, 91.0, 96.0, 0.01619834710743802, 0.01487603305785124, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[96.0, 96.0, 97.0, 0.01619834710743802, 0.01487603305785124, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[97.0, 97.0, 98.0, 0.015421487603305785, 0.010082644628099173, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[98.0, 98.0, 99.0, 0.006165289256198347, 0.02628099173553719, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[99.0, 1.0, 100.0, 0.005165289256198347, 0.002190082644628099, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[100.0, 100.0, 101.0, 0.012404958677685951, 0.019338842975206612, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[101.0, 101.0, 102.0, 0.011132231404958677, 0.0073388429752066124, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[102.0, 102.0, 103.0, 0.01906611570247934, 0.00994214876033058, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[103.0, 103.0, 104.0, 0.03694214876033058, 0.013289256198347107, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[104.0, 104.0, 105.0, 0.013487603305785125, 0.004859504132231405, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[105.0, 105.0, 106.0, 0.027272727272727275, 0.008181818181818182, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[106.0, 106.0, 107.0, 0.012892561983471074, 0.004636363636363636, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[107.0, 107.0, 108.0, 0.03156198347107438, 0.011355371900826446, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[108.0, 108.0, 109.0, 0.013438016528925619, 0.004834710743801653, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[109.0, 109.0, 110.0, 0.03156198347107438, 0.011355371900826446, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[110.0, 110.0, 111.0, 0.020206611570247935, 0.0072644628099173564, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[111.0, 110.0, 112.0, 0.01725619834710744, 0.006223140495867769, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[112.0, 112.0, 113.0, 0.019016528925619836, 0.00684297520661157, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[113.0, 100.0, 114.0, 0.050429752066115704, 0.018148760330578512, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[114.0, 114.0, 115.0, 0.015421487603305785, 0.010495867768595043, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[115.0, 115.0, 116.0, 0.03084297520661157, 0.020330578512396693, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[116.0, 116.0, 117.0, 0.03347107438016529, 0.030330578512396695, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[117.0, 117.0, 118.0, 0.04041322314049587, 0.036198347107438016, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[118.0, 46.0, 27.0, 0.04345454545454546, 0.024173553719008263, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[119.0, 17.0, 27.0, 0.04345454545454546, 0.02409917355371901, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[120.0, 8.0, 24.0, 0.03530578512396695, 0.012719008264462811, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[121.0, 54.0, 43.0, 0.03966942148760331, 0.014280991735537192, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[122.0, 62.0, 49.0, 0.02975206611570248, 0.010710743801652892, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[123.0, 37.0, 62.0, 0.047107438016528926, 0.04727272727272727, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[124.0, 9.0, 40.0, 0.043801652892561986, 0.027669421487603305, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[125.0, 58.0, 96.0, 0.032702479338842974, 0.011776859504132231, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[126.0, 73.0, 91.0, 0.05619834710743802, 0.053553719008264465, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[127.0, 88.0, 75.0, 0.0335702479338843, 0.01209917355371901, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[128.0, 99.0, 77.0, 0.03823140495867769, 0.013834710743801652, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[129.0, 108.0, 83.0, 0.05380165289256199, 0.019338842975206612, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[130.0, 105.0, 86.0, 0.06714876033057851, 0.024173553719008263, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[131.0, 110.0, 118.0, 0.058586776859504135, 0.02109917355371901, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[132.0, 25.0, 35.0, 0.04132231404958678, 0.04132231404958678, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]])
# Load data
self.loads = DataFrame(
['id', 'bus_id', 'Pd', 'Qd', 'mc_a', 'mc_b', 'mc_c', 'd_max', 'd_min'],
[[1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[2.0, 2.0, 0.13384000000000001, 0.10114, 0.0, 0.0, 0.0, 0.13384000000000001, 0.13384000000000001],
[3.0, 3.0, 0.016214, 0.011292, 0.0, 0.0, 0.0, 0.016214, 0.016214],
[4.0, 4.0, 0.034315, 0.021845, 0.0, 0.0, 0.0, 0.034315, 0.034315],
[5.0, 5.0, 0.07301600000000001, 0.06360199999999999, 0.0, 0.0, 0.0, 0.07301600000000001, 0.07301600000000001],
[6.0, 6.0, 0.1442, 0.068604, 0.0, 0.0, 0.0, 0.1442, 0.1442],
[7.0, 7.0, 0.10447, 0.061725, 0.0, 0.0, 0.0, 0.10447, 0.10447],
[8.0, 8.0, 0.028547, 0.011503, 0.0, 0.0, 0.0, 0.028547, 0.028547],
[9.0, 9.0, 0.08756, 0.051073, 0.0, 0.0, 0.0, 0.08756, 0.08756],
[10.0, 10.0, 0.1982, 0.10676999999999999, 0.0, 0.0, 0.0, 0.1982, 0.1982],
[11.0, 11.0, 0.1468, 0.07599500000000001, 0.0, 0.0, 0.0, 0.1468, 0.1468],
[12.0, 12.0, 0.02604, 0.018687000000000002, 0.0, 0.0, 0.0, 0.02604, 0.02604],
[13.0, 13.0, 0.0521, 0.023219999999999998, 0.0, 0.0, 0.0, 0.0521, 0.0521],
[14.0, 14.0, 0.1419, 0.1175, 0.0, 0.0, 0.0, 0.1419, 0.1419],
[15.0, 15.0, 0.02187, 0.02879, 0.0, 0.0, 0.0, 0.02187, 0.02187],
[16.0, 16.0, 0.03337, 0.026449999999999998, 0.0, 0.0, 0.0, 0.03337, 0.03337],
[17.0, 17.0, 0.03243, 0.02523, 0.0, 0.0, 0.0, 0.03243, 0.03243],
[18.0, 18.0, 0.020234000000000002, 0.011906, 0.0, 0.0, 0.0, 0.020234000000000002, 0.020234000000000002],
[19.0, 19.0, 0.15694, 0.078523, 0.0, 0.0, 0.0, 0.15694, 0.15694],
[20.0, 20.0, 0.5462899999999999, 0.3514, 0.0, 0.0, 0.0, 0.5462899999999999, 0.5462899999999999],
[21.0, 21.0, 0.18031, 0.16419999999999998, 0.0, 0.0, 0.0, 0.18031, 0.18031],
[22.0, 22.0, 0.093167, 0.054594000000000004, 0.0, 0.0, 0.0, 0.093167, 0.093167],
[23.0, 23.0, 0.08518, 0.03965, 0.0, 0.0, 0.0, 0.08518, 0.08518],
[24.0, 24.0, 0.1681, 0.095178, 0.0, 0.0, 0.0, 0.1681, 0.1681],
[25.0, 25.0, 0.12511, 0.15022, 0.0, 0.0, 0.0, 0.12511, 0.12511],
[26.0, 26.0, 0.016030000000000003, 0.02462, 0.0, 0.0, 0.0, 0.016030000000000003, 0.016030000000000003],
[27.0, 27.0, 0.02603, 0.02462, 0.0, 0.0, 0.0, 0.02603, 0.02603],
[28.0, 28.0, 0.59456, 0.52262, 0.0, 0.0, 0.0, 0.59456, 0.59456],
[29.0, 29.0, 0.12062, 0.059116999999999996, 0.0, 0.0, 0.0, 0.12062, 0.12062],
[30.0, 30.0, 0.10238, 0.099554, 0.0, 0.0, 0.0, 0.10238, 0.10238],
[31.0, 31.0, 0.5134, 0.3185, 0.0, 0.0, 0.0, 0.5134, 0.5134],
[32.0, 32.0, 0.47525, 0.45614, 0.0, 0.0, 0.0, 0.47525, 0.47525],
[33.0, 33.0, 0.15143, 0.13679, 0.0, 0.0, 0.0, 0.15143, 0.15143],
[34.0, 34.0, 0.20538, 0.083302, 0.0, 0.0, 0.0, 0.20538, 0.20538],
[35.0, 35.0, 0.1316, 0.093082, 0.0, 0.0, 0.0, 0.1316, 0.1316],
[36.0, 36.0, 0.44839999999999997, 0.36979, 0.0, 0.0, 0.0, 0.44839999999999997, 0.44839999999999997],
[37.0, 37.0, 0.44051999999999997, 0.32164, 0.0, 0.0, 0.0, 0.44051999999999997, 0.44051999999999997],
[38.0, 38.0, 0.11254, 0.055134, 0.0, 0.0, 0.0, 0.11254, 0.11254],
[39.0, 39.0, 0.053963000000000004, 0.038998, 0.0, 0.0, 0.0, 0.053963000000000004, 0.053963000000000004],
[40.0, 40.0, 0.39305, 0.3426, 0.0, 0.0, 0.0, 0.39305, 0.39305],
[41.0, 41.0, 0.32674000000000003, 0.27856000000000003, 0.0, 0.0, 0.0, 0.32674000000000003, 0.32674000000000003],
[42.0, 42.0, 0.53626, 0.24024, 0.0, 0.0, 0.0, 0.53626, 0.53626],
[43.0, 43.0, 0.076247, 0.066562, 0.0, 0.0, 0.0, 0.076247, 0.076247],
[44.0, 44.0, 0.053520000000000005, 0.03976, 0.0, 0.0, 0.0, 0.053520000000000005, 0.053520000000000005],
[45.0, 45.0, 0.040328, 0.031964, 0.0, 0.0, 0.0, 0.040328, 0.040328],
[46.0, 46.0, 0.039653, 0.020758, 0.0, 0.0, 0.0, 0.039653, 0.039653],
[47.0, 47.0, 0.06619499999999999, 0.042360999999999996, 0.0, 0.0, 0.0, 0.06619499999999999, 0.06619499999999999],
[48.0, 48.0, 0.073904, 0.051653, 0.0, 0.0, 0.0, 0.073904, 0.073904],
[49.0, 49.0, 0.11477, 0.057965, 0.0, 0.0, 0.0, 0.11477, 0.11477],
[50.0, 50.0, 0.91837, 1.2050999999999998, 0.0, 0.0, 0.0, 0.91837, 0.91837],
[51.0, 51.0, 0.21030000000000001, 0.14665999999999998, 0.0, 0.0, 0.0, 0.21030000000000001, 0.21030000000000001],
[52.0, 52.0, 0.06668, 0.056608, 0.0, 0.0, 0.0, 0.06668, 0.06668],
[53.0, 53.0, 0.042207, 0.040184, 0.0, 0.0, 0.0, 0.042207, 0.042207],
[54.0, 54.0, 0.43374, 0.28341000000000005, 0.0, 0.0, 0.0, 0.43374, 0.43374],
[55.0, 55.0, 0.0621, 0.02686, 0.0, 0.0, 0.0, 0.0621, 0.0621],
[56.0, 56.0, 0.09246, 0.08838, 0.0, 0.0, 0.0, 0.09246, 0.09246],
[57.0, 57.0, 0.085188, 0.055436, 0.0, 0.0, 0.0, 0.085188, 0.085188],
[58.0, 58.0, 0.3453, 0.3324, 0.0, 0.0, 0.0, 0.3453, 0.3453],
[59.0, 59.0, 0.0225, 0.016829999999999998, 0.0, 0.0, 0.0, 0.0225, 0.0225],
[60.0, 60.0, 0.080551, 0.049156, 0.0, 0.0, 0.0, 0.080551, 0.080551],
[61.0, 61.0, 0.09586, 0.09075799999999999, 0.0, 0.0, 0.0, 0.09586, 0.09586],
[62.0, 62.0, 0.06292, 0.047700000000000006, 0.0, 0.0, 0.0, 0.06292, 0.06292],
[63.0, 63.0, 0.4788, 0.46374, 0.0, 0.0, 0.0, 0.4788, 0.4788],
[64.0, 64.0, 0.12093999999999999, 0.052006000000000004, 0.0, 0.0, 0.0, 0.12093999999999999, 0.12093999999999999],
[65.0, 65.0, 0.13911, 0.10034, 0.0, 0.0, 0.0, 0.13911, 0.13911],
[66.0, 66.0, 0.39177999999999996, 0.1935, 0.0, 0.0, 0.0, 0.39177999999999996, 0.39177999999999996],
[67.0, 67.0, 0.027741, 0.026713, 0.0, 0.0, 0.0, 0.027741, 0.027741],
[68.0, 68.0, 0.052814, 0.025257, 0.0, 0.0, 0.0, 0.052814, 0.052814],
[69.0, 69.0, 0.06689, 0.038713000000000004, 0.0, 0.0, 0.0, 0.06689, 0.06689],
[70.0, 70.0, 0.4675, 0.39514, 0.0, 0.0, 0.0, 0.4675, 0.4675],
[71.0, 71.0, 0.59485, 0.23974, 0.0, 0.0, 0.0, 0.59485, 0.59485],
[72.0, 72.0, 0.1325, 0.084363, 0.0, 0.0, 0.0, 0.1325, 0.1325],
[73.0, 73.0, 0.052698999999999996, 0.022482, 0.0, 0.0, 0.0, 0.052698999999999996, 0.052698999999999996],
[74.0, 74.0, 0.86979, 0.614775, 0.0, 0.0, 0.0, 0.86979, 0.86979],
[75.0, 75.0, 0.031349, 0.029817, 0.0, 0.0, 0.0, 0.031349, 0.031349],
[76.0, 76.0, 0.19238999999999998, 0.12243000000000001, 0.0, 0.0, 0.0, 0.19238999999999998, 0.19238999999999998],
[77.0, 77.0, 0.06575, 0.04537, 0.0, 0.0, 0.0, 0.06575, 0.06575],
[78.0, 78.0, 0.23815, 0.22322, 0.0, 0.0, 0.0, 0.23815, 0.23815],
[79.0, 79.0, 0.29455000000000003, 0.16247, 0.0, 0.0, 0.0, 0.29455000000000003, 0.29455000000000003],
[80.0, 80.0, 0.48557, 0.43792000000000003, 0.0, 0.0, 0.0, 0.48557, 0.48557],
[81.0, 81.0, 0.24353, 0.18303, 0.0, 0.0, 0.0, 0.24353, 0.24353],
[82.0, 82.0, 0.24353, 0.18303, 0.0, 0.0, 0.0, 0.24353, 0.24353],
[83.0, 83.0, 0.13425, 0.11929000000000001, 0.0, 0.0, 0.0, 0.13425, 0.13425],
[84.0, 84.0, 0.02271, 0.027960000000000002, 0.0, 0.0, 0.0, 0.02271, 0.02271],
[85.0, 85.0, 0.049513, 0.026515, 0.0, 0.0, 0.0, 0.049513, 0.049513],
[86.0, 86.0, 0.38377999999999995, 0.25716, 0.0, 0.0, 0.0, 0.38377999999999995, 0.38377999999999995],
[87.0, 87.0, 0.049640000000000004, 0.0206, 0.0, 0.0, 0.0, 0.049640000000000004, 0.049640000000000004],
[88.0, 88.0, 0.022473, 0.011805999999999999, 0.0, 0.0, 0.0, 0.022473, 0.022473],
[89.0, 89.0, 0.06293, 0.04296, 0.0, 0.0, 0.0, 0.06293, 0.06293],
[90.0, 90.0, 0.030670000000000003, 0.03493, 0.0, 0.0, 0.0, 0.030670000000000003, 0.030670000000000003],
[91.0, 91.0, 0.06253, 0.06679, 0.0, 0.0, 0.0, 0.06253, 0.06253],
[92.0, 92.0, 0.11456999999999999, 0.081748, 0.0, 0.0, 0.0, 0.11456999999999999, 0.11456999999999999],
[93.0, 93.0, 0.081292, 0.066526, 0.0, 0.0, 0.0, 0.081292, 0.081292],
[94.0, 94.0, 0.031733, 0.015960000000000002, 0.0, 0.0, 0.0, 0.031733, 0.031733],
[95.0, 95.0, 0.03332, 0.06048, 0.0, 0.0, 0.0, 0.03332, 0.03332],
[96.0, 96.0, 0.53128, 0.22485, 0.0, 0.0, 0.0, 0.53128, 0.53128],
[97.0, 97.0, 0.50703, 0.36742, 0.0, 0.0, 0.0, 0.50703, 0.50703],
[98.0, 98.0, 0.02639, 0.011699999999999999, 0.0, 0.0, 0.0, 0.02639, 0.02639],
[99.0, 99.0, 0.04599, 0.030392, 0.0, 0.0, 0.0, 0.04599, 0.04599],
[100.0, 100.0, 0.10066, 0.047572, 0.0, 0.0, 0.0, 0.10066, 0.10066],
[101.0, 101.0, 0.45648, 0.3503, 0.0, 0.0, 0.0, 0.45648, 0.45648],
[102.0, 102.0, 0.5225599999999999, 0.44929, 0.0, 0.0, 0.0, 0.5225599999999999, 0.5225599999999999],
[103.0, 103.0, 0.40843, 0.16846, 0.0, 0.0, 0.0, 0.40843, 0.40843],
[104.0, 104.0, 0.14148, 0.13425, 0.0, 0.0, 0.0, 0.14148, 0.14148],
[105.0, 105.0, 0.10443000000000001, 0.066024, 0.0, 0.0, 0.0, 0.10443000000000001, 0.10443000000000001],
[106.0, 106.0, 0.096793, 0.083647, 0.0, 0.0, 0.0, 0.096793, 0.096793],
[107.0, 107.0, 0.49392, 0.41934, 0.0, 0.0, 0.0, 0.49392, 0.49392],
[108.0, 108.0, 0.22538, 0.13588, 0.0, 0.0, 0.0, 0.22538, 0.22538],
[109.0, 109.0, 0.5092099999999999, 0.38721, 0.0, 0.0, 0.0, 0.5092099999999999, 0.5092099999999999],
[110.0, 110.0, 0.1885, 0.17346, 0.0, 0.0, 0.0, 0.1885, 0.1885],
[111.0, 111.0, 0.91803, 0.89855, 0.0, 0.0, 0.0, 0.91803, 0.91803],
[112.0, 112.0, 0.30507999999999996, 0.21537, 0.0, 0.0, 0.0, 0.30507999999999996, 0.30507999999999996],
[113.0, 113.0, 0.054380000000000005, 0.04097, 0.0, 0.0, 0.0, 0.054380000000000005, 0.054380000000000005],
[114.0, 114.0, 0.21114, 0.19290000000000002, 0.0, 0.0, 0.0, 0.21114, 0.21114],
[115.0, 115.0, 0.067009, 0.053336, 0.0, 0.0, 0.0, 0.067009, 0.067009],
[116.0, 116.0, 0.16207, 0.090321, 0.0, 0.0, 0.0, 0.16207, 0.16207],
[117.0, 117.0, 0.048784999999999995, 0.029155999999999998, 0.0, 0.0, 0.0, 0.048784999999999995, 0.048784999999999995],
[118.0, 118.0, 0.0339, 0.01898, 0.0, 0.0, 0.0, 0.0339, 0.0339]])
self.real_params = True
super().__init__(*args, **kwargs)