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Data Source: MATPOWER case file
Base MVA: 10.0 MVA
Base kV: 12.47 kV
Unit conversions applied:
- Pd converted from kVA to MW/MVAr (divided by 1000, power factor=0.85)
- 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 Case141(ClearCase):
GRID_TYPE = "distribution"
BUS_COUNT = 141
VOLTAGE_LEVEL = "MV"
SOURCE = "MATPOWER"
DESCRIPTION = "141-bus Caracas distribution system (Khodr et al., EPSR 2008)"
def __init__(self, *args, **kwargs):
# System base values
self.baseMVA = 10.0
self.baseKV = 12.47
# 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, 12.47, 1.0, 1.0],
[2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[8.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[9.0, 1.0, 0.0085, 0.00526782687642637, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[12.0, 1.0, 0.02125, 0.013169567191065924, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[13.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[17.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[18.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[19.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[20.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[21.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[22.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[23.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[24.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[25.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[26.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[27.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[28.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[29.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[30.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[31.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[32.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[33.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[34.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[35.0, 1.0, 0.255, 0.15803480629279107, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[36.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[37.0, 1.0, 0.0425, 0.026339134382131847, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[38.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[39.0, 1.0, 0.017, 0.01053565375285274, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[40.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[41.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[42.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[43.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[44.0, 1.0, 0.0425, 0.026339134382131847, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[45.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[46.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[47.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[48.0, 1.0, 0.10625, 0.06584783595532961, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[49.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[50.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[51.0, 1.0, 0.10625, 0.06584783595532961, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[52.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[53.0, 1.0, 0.085, 0.052678268764263694, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[54.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[55.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[56.0, 1.0, 0.02125, 0.013169567191065924, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[57.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[58.0, 1.0, 0.255, 0.15803480629279107, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[59.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[60.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[61.0, 1.0, 0.255, 0.15803480629279107, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[62.0, 1.0, 0.17, 0.10535653752852739, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[63.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[64.0, 1.0, 0.255, 0.15803480629279107, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[65.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[66.0, 1.0, 0.19125, 0.11852610471959331, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[67.0, 1.0, 0.0425, 0.026339134382131847, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[68.0, 1.0, 0.085, 0.052678268764263694, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[69.0, 1.0, 0.255, 0.15803480629279107, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[70.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[71.0, 1.0, 0.255, 0.15803480629279107, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[72.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[73.0, 1.0, 0.255, 0.15803480629279107, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[74.0, 1.0, 0.255, 0.15803480629279107, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[75.0, 1.0, 0.03825, 0.02370522094391866, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[76.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[77.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[78.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[79.0, 1.0, 0.4271249999999999, 0.26470830054042505, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[80.0, 1.0, 0.6375, 0.3950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[81.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[82.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[83.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[84.0, 1.0, 0.19125, 0.11852610471959331, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[85.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[86.0, 1.0, 0.425, 0.26339134382131846, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[87.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[88.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[89.0, 1.0, 0.05525, 0.0342408746967714, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[90.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[91.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[92.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[93.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[94.0, 1.0, 0.0935, 0.05794609564069006, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[95.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[96.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[97.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[98.0, 1.0, 0.255, 0.15803480629279107, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[99.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[100.0, 1.0, 0.255, 0.15803480629279107, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[101.0, 1.0, 0.01275, 0.007901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[102.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[103.0, 1.0, 0.10625, 0.06584783595532961, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[104.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[105.0, 1.0, 0.255, 0.15803480629279107, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[106.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[107.0, 1.0, 0.4271249999999999, 0.26470830054042505, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[108.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[109.0, 1.0, 0.6375, 0.3950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[110.0, 1.0, 0.6375, 0.3950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[111.0, 1.0, 0.02125, 0.013169567191065924, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[112.0, 1.0, 0.425, 0.26339134382131846, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[113.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[114.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[115.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[116.0, 1.0, 0.255, 0.15803480629279107, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[117.0, 1.0, 0.05525, 0.0342408746967714, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[118.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[119.0, 1.0, 0.0935, 0.05794609564069006, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[120.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[121.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[122.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[123.0, 1.0, 0.085, 0.052678268764263694, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[124.0, 1.0, 0.10625, 0.06584783595532961, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[125.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[126.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[127.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[128.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[129.0, 1.0, 0.0935, 0.05794609564069006, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[130.0, 1.0, 0.095625, 0.059263052359796654, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[131.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[132.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[133.0, 1.0, 0.03825, 0.02370522094391866, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[134.0, 1.0, 0.029750000000000002, 0.018437394067492292, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[135.0, 1.0, 0.02125, 0.013169567191065924, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[136.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[137.0, 1.0, 0.04675, 0.02897304782034503, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[138.0, 1.0, 0.0425, 0.026339134382131847, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[139.0, 1.0, 0.0425, 0.026339134382131847, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[140.0, 1.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 1.0, 0.0, 12.47, 1.1, 0.9],
[141.0, 1.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 1.0, 0.0, 12.47, 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, 100.0, -100.0, 1.0, 100.0, 1.0, 100.0, 0.0, 0.0, 0.0, 20.0, 100.0, 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, 0.003710589456395429, 0.002630209857306292, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[2.0, 2.0, 3.0, 0.011093183383504531, 0.00786490624813104, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[3.0, 3.0, 4.0, 5.787747852263234e-05, 3.8584985681754894e-05, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[4.0, 4.0, 5.0, 0.0005916364471202417, 0.00041800401155234467, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[5.0, 5.0, 6.0, 0.0004372965043932221, 0.0003151107164009983, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[6.0, 6.0, 7.0, 0.0030160597141238405, 0.004019269341849468, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[7.0, 7.0, 8.0, 0.004733091576961934, 0.0063086451589669254, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[8.0, 8.0, 9.0, 0.004173609284576487, 0.0029517514046542496, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[9.0, 9.0, 10.0, 0.003260431290108289, 0.0023086683099583344, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[10.0, 10.0, 11.0, 0.0007459763898472612, 0.0005273281376506503, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[11.0, 11.0, 12.0, 0.008302202752524262, 0.005871348654573704, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[12.0, 12.0, 13.0, 0.007890629571918877, 0.005569099600066623, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[13.0, 13.0, 14.0, 0.003138245502116065, 0.0022186366767009066, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[14.0, 14.0, 15.0, 0.006154305216239905, 0.004353672551091344, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[15.0, 15.0, 16.0, 0.005530514614384868, 0.003916376046698122, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[16.0, 16.0, 17.0, 0.0025594707168897415, 0.00181349432704248, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[17.0, 17.0, 18.0, 0.005324728024082175, 0.003639850315978878, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[18.0, 18.0, 19.0, 0.0011961345561344017, 0.0008488696849986077, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[19.0, 19.0, 20.0, 0.0035948344993501644, 0.002540178224048864, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[20.0, 20.0, 21.0, 0.0023472532956400893, 0.0015819844129519507, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[21.0, 21.0, 22.0, 0.003684866132607592, 0.001974265100716459, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[22.0, 22.0, 23.0, 0.0016913085390502563, 0.0012282887108691974, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[23.0, 23.0, 24.0, 0.004392257536773099, 0.003196122980638697, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[24.0, 24.0, 25.0, 0.0025594707168897415, 0.00181349432704248, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[25.0, 25.0, 26.0, 0.00468807576033322, 0.0034083404018883487, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[26.0, 26.0, 27.0, 0.002154328367231315, 0.0015691227510580324, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[27.0, 27.0, 28.0, 0.003755605273024143, 0.0026623640120410877, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[28.0, 28.0, 29.0, 0.004212194270258243, 0.002977474728442086, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[29.0, 61.0, 62.0, 0.00264307151920021, 0.0018713718055651124, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[30.0, 60.0, 63.0, 0.0022700833242765795, 0.0016077077367397873, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[31.0, 63.0, 64.0, 0.006733080001466229, 0.00476524573169673, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[32.0, 64.0, 65.0, 0.004334380058250467, 0.003067506361699514, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[33.0, 65.0, 66.0, 0.0019421109459816632, 0.0013761978226492578, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[34.0, 66.0, 67.0, 0.002932458911813372, 0.0020771583958678055, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[35.0, 67.0, 68.0, 0.0014019211464370944, 0.000990347965831709, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[36.0, 70.0, 72.0, 0.004501581662871405, 0.003183261318744779, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[37.0, 42.0, 73.0, 0.0014855219487475634, 0.0010546562753013006, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[38.0, 73.0, 74.0, 0.00019292492840877447, 0.00041157318060538556, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[39.0, 43.0, 75.0, 0.0024372849288975176, 0.001723462693785052, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[40.0, 44.0, 76.0, 0.0035498186827214503, 0.0025144549002610274, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[41.0, 46.0, 77.0, 0.003318308768630921, 0.002803842292874189, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[42.0, 76.0, 78.0, 0.0010739487681421778, 0.0007073914041655063, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[43.0, 78.0, 79.0, 0.002668794842988047, 0.000649513925642874, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[44.0, 79.0, 80.0, 0.006450123439800027, 0.0015691227510580324, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[45.0, 79.0, 81.0, 0.009729847222749192, 0.002379407450374885, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[46.0, 81.0, 82.0, 0.00021221742124965192, 5.1446647575673195e-05, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[47.0, 47.0, 83.0, 0.0005466206304915277, 0.0003987115187114672, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[48.0, 49.0, 84.0, 0.00332473959957788, 0.0028874430951846583, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[49.0, 50.0, 85.0, 0.0009453321492029949, 0.00023150991409052937, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[50.0, 85.0, 86.0, 0.00023794074503748853, 0.00010289329515134639, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[51.0, 86.0, 87.0, 0.0, 6.43083094695915e-07, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[52.0, 7.0, 88.0, 0.001118964584770892, 0.0014855219487475634, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[53.0, 88.0, 89.0, 0.0030160597141238405, 0.004019269341849468, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[54.0, 89.0, 90.0, 0.0019228184531407855, 0.0025594707168897415, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[55.0, 90.0, 91.0, 0.0013633361607553395, 0.001819925157989439, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[56.0, 91.0, 92.0, 0.002025711748292132, 0.0027009489977228426, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[57.0, 92.0, 93.0, 0.0018006326651485618, 0.0023986999432157627, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[58.0, 93.0, 94.0, 0.0013247511750735846, 0.001762047679466807, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[59.0, 94.0, 95.0, 0.0013247511750735846, 0.001762047679466807, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[60.0, 89.0, 96.0, 0.004417980860560935, 0.0031253838402221464, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[61.0, 96.0, 97.0, 0.0062379060185503744, 0.0044115500296139755, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[62.0, 97.0, 98.0, 0.005800609514157153, 0.0012604428656039933, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[63.0, 97.0, 99.0, 0.00021221742124965192, 5.1446647575673195e-05, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[64.0, 131.0, 132.0, 0.0022314983385948246, 0.0015755535820049917, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[65.0, 131.0, 133.0, 0.005916364471202417, 0.004302225903515671, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[66.0, 121.0, 134.0, 0.005408328826392644, 0.003935668539538999, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[67.0, 16.0, 135.0, 0.0033890479090474715, 0.0023986999432157627, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[68.0, 16.0, 136.0, 0.0019421109459816632, 0.0013761978226492578, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[69.0, 18.0, 137.0, 0.003755605273024143, 0.0026623640120410877, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[70.0, 23.0, 138.0, 0.004945308998211585, 0.0035948344993501644, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[71.0, 29.0, 30.0, 0.002199344183860029, 0.001594846074845869, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[72.0, 30.0, 31.0, 0.0008231463612107711, 0.0005852056161732826, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[73.0, 31.0, 32.0, 0.0022314983385948246, 0.0015755535820049917, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[74.0, 2.0, 33.0, 0.002848858109502903, 0.0020192809173451725, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[75.0, 33.0, 34.0, 0.000128616618939183, 5.787747852263234e-05, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[76.0, 5.0, 35.0, 0.014623709573385104, 0.0035626803446153683, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[77.0, 5.0, 36.0, 0.008135001147903324, 0.010064250431991068, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[78.0, 6.0, 37.0, 0.00035369570208275316, 0.0004694506591280179, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[79.0, 37.0, 38.0, 0.013093171808008827, 0.009260396563621175, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[80.0, 38.0, 39.0, 0.006032119428247681, 0.004263640917833916, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[81.0, 39.0, 40.0, 0.0022314983385948246, 0.0015755535820049917, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[82.0, 40.0, 41.0, 0.005903502809308499, 0.004180040115523447, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[83.0, 41.0, 42.0, 0.014906666135051308, 0.010546562753013005, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[84.0, 42.0, 43.0, 0.007762012952979693, 0.0054919296287031134, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[85.0, 43.0, 44.0, 0.002848858109502903, 0.0020192809173451725, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[86.0, 44.0, 45.0, 0.0026044865335184556, 0.001852079312724235, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[87.0, 45.0, 46.0, 0.001028932951513464, 0.0008167155302638119, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[88.0, 46.0, 47.0, 0.004090008482266019, 0.002893873926131617, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[89.0, 47.0, 48.0, 0.0026816565048819654, 0.0018970951293529488, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[90.0, 48.0, 49.0, 0.004707368253174097, 0.003279723782949166, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[91.0, 49.0, 50.0, 0.005324728024082175, 0.0035755420065092867, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[92.0, 50.0, 51.0, 0.0025594707168897415, 0.00181349432704248, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[93.0, 51.0, 52.0, 0.0014469369630658085, 0.0010225021205665047, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[94.0, 38.0, 53.0, 0.005408328826392644, 0.0038263444134406933, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[95.0, 42.0, 54.0, 0.001035363782460423, 0.000733114727953343, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[96.0, 54.0, 55.0, 0.0033890479090474715, 0.0023986999432157627, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[97.0, 55.0, 56.0, 0.00574273203563452, 0.004064285158478183, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[98.0, 56.0, 57.0, 0.005575530431013582, 0.003942099370485958, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[99.0, 57.0, 58.0, 0.004334380058250467, 0.003067506361699514, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[100.0, 58.0, 59.0, 0.0030160597141238405, 0.0021350358743904376, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[101.0, 55.0, 60.0, 0.0021478975362843556, 0.001517676103482359, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[102.0, 60.0, 61.0, 0.002102881719655642, 0.0014919527796945224, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[103.0, 63.0, 69.0, 0.0023536841265870486, 0.0016655852152624197, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[104.0, 55.0, 70.0, 0.0014855219487475634, 0.0010546562753013006, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[105.0, 70.0, 71.0, 0.0007716997136350979, 0.0001864940974618153, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[106.0, 99.0, 100.0, 0.00021221742124965192, 5.1446647575673195e-05, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[107.0, 91.0, 101.0, 0.0014855219487475634, 0.0010546562753013006, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[108.0, 101.0, 102.0, 0.003717020287342388, 0.002630209857306292, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[109.0, 102.0, 103.0, 0.005717008711846684, 0.0013954903154901354, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[110.0, 103.0, 104.0, 0.004044992665637305, 0.0009839171348847498, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[111.0, 104.0, 105.0, 0.007524072207942205, 0.0018327868198833575, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[112.0, 104.0, 106.0, 0.000733114727953343, 0.00016720160462093786, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[113.0, 92.0, 107.0, 0.005459775473968318, 0.0013311820060205439, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[114.0, 94.0, 108.0, 0.003935668539538999, 0.0016720160462093787, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[115.0, 108.0, 109.0, 0.002906735588025535, 0.0012347195418161566, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[116.0, 94.0, 110.0, 0.00021221742124965192, 5.1446647575673195e-05, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[117.0, 7.0, 111.0, 0.0046237674508636285, 0.003273292952002207, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[118.0, 10.0, 112.0, 0.00688098911324629, 0.0016784468771563381, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[119.0, 11.0, 113.0, 0.0022314983385948246, 0.0015755535820049917, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[120.0, 13.0, 114.0, 0.00400640767995555, 0.002835996447608985, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[121.0, 114.0, 115.0, 0.004295795072568711, 0.0030417830379116774, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[122.0, 115.0, 116.0, 0.000257233237878366, 6.43083094695915e-05, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[123.0, 14.0, 117.0, 0.0032540004591613296, 0.0023536841265870486, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[124.0, 15.0, 118.0, 0.001035363782460423, 0.000733114727953343, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[125.0, 118.0, 119.0, 0.002971043897495127, 0.002102881719655642, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[126.0, 119.0, 120.0, 0.002726672321510679, 0.0019292492840877447, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[127.0, 120.0, 121.0, 0.003260431290108289, 0.0023086683099583344, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[128.0, 121.0, 122.0, 0.004707368253174097, 0.0033311704305248394, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[129.0, 122.0, 123.0, 0.003755605273024143, 0.0026623640120410877, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[130.0, 123.0, 124.0, 0.003922806877645081, 0.0027781189690863524, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[131.0, 124.0, 125.0, 0.0050353406314690135, 0.0035626803446153683, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[132.0, 125.0, 126.0, 0.005363313009763931, 0.003903514384804203, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[133.0, 126.0, 127.0, 0.0022314983385948246, 0.0015755535820049917, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[134.0, 127.0, 128.0, 0.003665573639766715, 0.0027009489977228426, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[135.0, 128.0, 129.0, 0.0037620361039711024, 0.0027331031524576387, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[136.0, 129.0, 130.0, 0.0006623755875367923, 0.0004694506591280179, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[137.0, 119.0, 131.0, 0.0022829449861704976, 0.0016270002295806648, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[138.0, 25.0, 139.0, 0.006109289399611192, 0.004327949227303507, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[139.0, 30.0, 140.0, 0.0033376012614717986, 0.002424423267003599, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0],
[140.0, 31.0, 141.0, 0.003755605273024143, 0.0026623640120410877, 0.0, 0.0, 0.0, 0.0, 1.0, 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, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[5.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[6.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[7.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[8.0, 8.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[9.0, 9.0, 0.0085, 0.00526782687642637, 0.0, 0.0, 0.0, 0.0085, 0.0085],
[10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[12.0, 12.0, 0.02125, 0.013169567191065924, 0.0, 0.0, 0.0, 0.02125, 0.02125],
[13.0, 13.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[17.0, 17.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[18.0, 18.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[19.0, 19.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[20.0, 20.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[21.0, 21.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[22.0, 22.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[23.0, 23.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[24.0, 24.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[25.0, 25.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[26.0, 26.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[27.0, 27.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[28.0, 28.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[29.0, 29.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[30.0, 30.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[31.0, 31.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[32.0, 32.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[33.0, 33.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[34.0, 34.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[35.0, 35.0, 0.255, 0.15803480629279107, 0.0, 0.0, 0.0, 0.255, 0.255],
[36.0, 36.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[37.0, 37.0, 0.0425, 0.026339134382131847, 0.0, 0.0, 0.0, 0.0425, 0.0425],
[38.0, 38.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[39.0, 39.0, 0.017, 0.01053565375285274, 0.0, 0.0, 0.0, 0.017, 0.017],
[40.0, 40.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[41.0, 41.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[42.0, 42.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[43.0, 43.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[44.0, 44.0, 0.0425, 0.026339134382131847, 0.0, 0.0, 0.0, 0.0425, 0.0425],
[45.0, 45.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[46.0, 46.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[47.0, 47.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[48.0, 48.0, 0.10625, 0.06584783595532961, 0.0, 0.0, 0.0, 0.10625, 0.10625],
[49.0, 49.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[50.0, 50.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[51.0, 51.0, 0.10625, 0.06584783595532961, 0.0, 0.0, 0.0, 0.10625, 0.10625],
[52.0, 52.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[53.0, 53.0, 0.085, 0.052678268764263694, 0.0, 0.0, 0.0, 0.085, 0.085],
[54.0, 54.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[55.0, 55.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[56.0, 56.0, 0.02125, 0.013169567191065924, 0.0, 0.0, 0.0, 0.02125, 0.02125],
[57.0, 57.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[58.0, 58.0, 0.255, 0.15803480629279107, 0.0, 0.0, 0.0, 0.255, 0.255],
[59.0, 59.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[60.0, 60.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[61.0, 61.0, 0.255, 0.15803480629279107, 0.0, 0.0, 0.0, 0.255, 0.255],
[62.0, 62.0, 0.17, 0.10535653752852739, 0.0, 0.0, 0.0, 0.17, 0.17],
[63.0, 63.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[64.0, 64.0, 0.255, 0.15803480629279107, 0.0, 0.0, 0.0, 0.255, 0.255],
[65.0, 65.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[66.0, 66.0, 0.19125, 0.11852610471959331, 0.0, 0.0, 0.0, 0.19125, 0.19125],
[67.0, 67.0, 0.0425, 0.026339134382131847, 0.0, 0.0, 0.0, 0.0425, 0.0425],
[68.0, 68.0, 0.085, 0.052678268764263694, 0.0, 0.0, 0.0, 0.085, 0.085],
[69.0, 69.0, 0.255, 0.15803480629279107, 0.0, 0.0, 0.0, 0.255, 0.255],
[70.0, 70.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[71.0, 71.0, 0.255, 0.15803480629279107, 0.0, 0.0, 0.0, 0.255, 0.255],
[72.0, 72.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[73.0, 73.0, 0.255, 0.15803480629279107, 0.0, 0.0, 0.0, 0.255, 0.255],
[74.0, 74.0, 0.255, 0.15803480629279107, 0.0, 0.0, 0.0, 0.255, 0.255],
[75.0, 75.0, 0.03825, 0.02370522094391866, 0.0, 0.0, 0.0, 0.03825, 0.03825],
[76.0, 76.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[77.0, 77.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[78.0, 78.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[79.0, 79.0, 0.4271249999999999, 0.26470830054042505, 0.0, 0.0, 0.0, 0.4271249999999999, 0.4271249999999999],
[80.0, 80.0, 0.6375, 0.3950870157319777, 0.0, 0.0, 0.0, 0.6375, 0.6375],
[81.0, 81.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[82.0, 82.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[83.0, 83.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[84.0, 84.0, 0.19125, 0.11852610471959331, 0.0, 0.0, 0.0, 0.19125, 0.19125],
[85.0, 85.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[86.0, 86.0, 0.425, 0.26339134382131846, 0.0, 0.0, 0.0, 0.425, 0.425],
[87.0, 87.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[88.0, 88.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[89.0, 89.0, 0.05525, 0.0342408746967714, 0.0, 0.0, 0.0, 0.05525, 0.05525],
[90.0, 90.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[91.0, 91.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[92.0, 92.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[93.0, 93.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[94.0, 94.0, 0.0935, 0.05794609564069006, 0.0, 0.0, 0.0, 0.0935, 0.0935],
[95.0, 95.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[96.0, 96.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[97.0, 97.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[98.0, 98.0, 0.255, 0.15803480629279107, 0.0, 0.0, 0.0, 0.255, 0.255],
[99.0, 99.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[100.0, 100.0, 0.255, 0.15803480629279107, 0.0, 0.0, 0.0, 0.255, 0.255],
[101.0, 101.0, 0.01275, 0.007901740314639553, 0.0, 0.0, 0.0, 0.01275, 0.01275],
[102.0, 102.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[103.0, 103.0, 0.10625, 0.06584783595532961, 0.0, 0.0, 0.0, 0.10625, 0.10625],
[104.0, 104.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[105.0, 105.0, 0.255, 0.15803480629279107, 0.0, 0.0, 0.0, 0.255, 0.255],
[106.0, 106.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[107.0, 107.0, 0.4271249999999999, 0.26470830054042505, 0.0, 0.0, 0.0, 0.4271249999999999, 0.4271249999999999],
[108.0, 108.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[109.0, 109.0, 0.6375, 0.3950870157319777, 0.0, 0.0, 0.0, 0.6375, 0.6375],
[110.0, 110.0, 0.6375, 0.3950870157319777, 0.0, 0.0, 0.0, 0.6375, 0.6375],
[111.0, 111.0, 0.02125, 0.013169567191065924, 0.0, 0.0, 0.0, 0.02125, 0.02125],
[112.0, 112.0, 0.425, 0.26339134382131846, 0.0, 0.0, 0.0, 0.425, 0.425],
[113.0, 113.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[114.0, 114.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[115.0, 115.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[116.0, 116.0, 0.255, 0.15803480629279107, 0.0, 0.0, 0.0, 0.255, 0.255],
[117.0, 117.0, 0.05525, 0.0342408746967714, 0.0, 0.0, 0.0, 0.05525, 0.05525],
[118.0, 118.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[119.0, 119.0, 0.0935, 0.05794609564069006, 0.0, 0.0, 0.0, 0.0935, 0.0935],
[120.0, 120.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[121.0, 121.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[122.0, 122.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[123.0, 123.0, 0.085, 0.052678268764263694, 0.0, 0.0, 0.0, 0.085, 0.085],
[124.0, 124.0, 0.10625, 0.06584783595532961, 0.0, 0.0, 0.0, 0.10625, 0.10625],
[125.0, 125.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[126.0, 126.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[127.0, 127.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[128.0, 128.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[129.0, 129.0, 0.0935, 0.05794609564069006, 0.0, 0.0, 0.0, 0.0935, 0.0935],
[130.0, 130.0, 0.095625, 0.059263052359796654, 0.0, 0.0, 0.0, 0.095625, 0.095625],
[131.0, 131.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[132.0, 132.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[133.0, 133.0, 0.03825, 0.02370522094391866, 0.0, 0.0, 0.0, 0.03825, 0.03825],
[134.0, 134.0, 0.029750000000000002, 0.018437394067492292, 0.0, 0.0, 0.0, 0.029750000000000002, 0.029750000000000002],
[135.0, 135.0, 0.02125, 0.013169567191065924, 0.0, 0.0, 0.0, 0.02125, 0.02125],
[136.0, 136.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375],
[137.0, 137.0, 0.04675, 0.02897304782034503, 0.0, 0.0, 0.0, 0.04675, 0.04675],
[138.0, 138.0, 0.0425, 0.026339134382131847, 0.0, 0.0, 0.0, 0.0425, 0.0425],
[139.0, 139.0, 0.0425, 0.026339134382131847, 0.0, 0.0, 0.0, 0.0425, 0.0425],
[140.0, 140.0, 0.1275, 0.07901740314639553, 0.0, 0.0, 0.0, 0.1275, 0.1275],
[141.0, 141.0, 0.06375, 0.03950870157319777, 0.0, 0.0, 0.0, 0.06375, 0.06375]])
self.real_params = True
super().__init__(*args, **kwargs)
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