Simulation NREL 5MW wind turbine¶
[1]:
%config InlineBackend.figure_format = 'svg'
from IPython.display import Image
url = 'https://raw.githubusercontent.com/ImperialCollegeLondon/sharpy/dev_doc/docs/source/content/example_notebooks/images/turbulence_no_legend.png'
Image(url=url, width=800)
[1]:
In this notebook the blade loads on the NREL-5MW reference wind turbine computed with SHARPy and OpenFAST will be compared. However, zero-drag airfoils have been used.
OpenFAST: https://openfast.readthedocs.io
NREL-5MW: Jonkman, J.; Butterfield, S.; Musial, W. and Scott, G.. Definition of a 5-MW Reference Wind Turbine for Offshore System Development, Technical Report, NREL 2009
Load the required packages:
[2]:
# Required packages
%matplotlib inline
import numpy as np
import os
import matplotlib.pyplot as plt
# Required SHARPy modules
import sharpy.sharpy_main
import sharpy.utils.algebra as algebra
import sharpy.utils.generate_cases as gc
import cases.templates.template_wt as template_wt
These are the results from the OpenFAST simulation for comparison: out-of-plane of_cNdrR and in-plane of_cTdrR coefficients along the blade and thrust of_ct and power of_cp rotor coefficients
[3]:
of_rR = np.array([0.20158356, 0.3127131, 0.40794048, 0.5984148, 0.6936519, 0.85238045, 0.899999, 0.95555407, 0.98729974, 1.0])
of_cNdrR = np.array([0.08621394, 0.14687876, 0.19345148, 0.2942731, 0.36003628, 0.43748564, 0.44762507, 0.38839236, 0.29782477, 0.0])
of_cTdrR = np.array([0.048268348, 0.051957503, 0.05304592, 0.052862607, 0.056001827, 0.0536646, 0.050112925, 0.038993906, 0.023664437, 0.0])
of_ct = 0.69787693
of_cp = 0.48813498
Create SHARPy case¶
Definition of parameters
[4]:
# Mathematical constants
deg2rad = np.pi/180.
# Case
case = 'rotor'
route = './'
# Geometry discretization
chord_panels = np.array([8], dtype=int)
revs_in_wake = 5
# Operation
rotation_velocity = 12.1*2*np.pi/60
pitch_deg = 0. #degrees
# Wind
WSP = 12.
air_density = 1.225
# Simulation
dphi = 4.*deg2rad
revs_to_simulate = 5
Computation of associated parameters
[5]:
dt = dphi/rotation_velocity
time_steps = int(revs_to_simulate*2.*np.pi/dphi)
mstar = int(revs_in_wake*2.*np.pi/dphi)
Generation of the rotor geometry based on the information in the excel file
[6]:
op_params = {'rotation_velocity': rotation_velocity,
'pitch_deg': pitch_deg,
'wsp': WSP,
'dt': dt}
geom_params = {'chord_panels':chord_panels,
'tol_remove_points': 1e-8,
'n_points_camber': 100,
'm_distribution': 'uniform'}
excel_description = {'excel_file_name': route + '/source/type02_db_NREL5MW_v02.xlsx',
'excel_sheet_parameters': 'parameters',
'excel_sheet_structural_blade': 'structural_blade',
'excel_sheet_discretization_blade': 'discretization_blade',
'excel_sheet_aero_blade': 'aero_blade',
'excel_sheet_airfoil_info': 'airfoil_info',
'excel_sheet_airfoil_chord': 'airfoil_coord'}
options = {'camber_effect_on_twist': False,
'user_defined_m_distribution_type': None,
'include_polars': False}
rotor = template_wt.rotor_from_excel_type03(op_params,
geom_params,
excel_description,
options)
WARNING: The poisson cofficient is assumed equal to 0.3
WARNING: Cross-section area is used as shear area
WARNING: Using perpendicular axis theorem to compute the inertia around xB
WARNING: Replacing node 29 by node 0
WARNING: Replacing node 58 by node 0
Define simulation details. The steady simulation is faster than the dynamic simulation. However, the dynamic simulation includes wake self-induction and provides more accurate results.
[7]:
steady_simulation = False
[8]:
SimInfo = gc.SimulationInformation()
SimInfo.set_default_values()
if steady_simulation:
SimInfo.solvers['SHARPy']['flow'] = ['BeamLoader',
'AerogridLoader',
'StaticCoupledRBM',
'BeamPlot',
'AerogridPlot',
'SaveData']
else:
SimInfo.solvers['SHARPy']['flow'] = ['BeamLoader',
'AerogridLoader',
'StaticCoupledRBM',
'DynamicCoupled']
SimInfo.solvers['SHARPy']['case'] = case
SimInfo.solvers['SHARPy']['route'] = route
SimInfo.solvers['SHARPy']['write_log'] = True
SimInfo.set_variable_all_dicts('dt', dt)
SimInfo.set_variable_all_dicts('rho', air_density)
SimInfo.solvers['SteadyVelocityField']['u_inf'] = WSP
SimInfo.solvers['SteadyVelocityField']['u_inf_direction'] = np.array([0., 0., 1.])
SimInfo.solvers['BeamLoader']['unsteady'] = 'on'
SimInfo.solvers['AerogridLoader']['unsteady'] = 'on'
SimInfo.solvers['AerogridLoader']['mstar'] = mstar
SimInfo.solvers['AerogridLoader']['freestream_dir'] = np.array([0.,0.,0.])
SimInfo.solvers['AerogridLoader']['wake_shape_generator'] = 'HelicoidalWake'
SimInfo.solvers['AerogridLoader']['wake_shape_generator_input'] = {'u_inf': WSP,
'u_inf_direction': SimInfo.solvers['SteadyVelocityField']['u_inf_direction'],
'rotation_velocity': rotation_velocity*np.array([0., 0., 1.]),
'dt': dt,
'dphi1': dphi,
'ndphi1': mstar,
'r': 1.,
'dphimax': 10*deg2rad}
SimInfo.solvers['StaticCoupledRBM']['structural_solver'] = 'RigidDynamicPrescribedStep'
SimInfo.solvers['StaticCoupledRBM']['structural_solver_settings'] = SimInfo.solvers['RigidDynamicPrescribedStep']
SimInfo.solvers['StaticCoupledRBM']['aero_solver'] = 'StaticUvlm'
SimInfo.solvers['StaticCoupledRBM']['aero_solver_settings'] = SimInfo.solvers['StaticUvlm']
SimInfo.solvers['StaticCoupledRBM']['tolerance'] = 1e-8
SimInfo.solvers['StaticCoupledRBM']['n_load_steps'] = 0
SimInfo.solvers['StaticCoupledRBM']['relaxation_factor'] = 0.
SimInfo.solvers['StaticUvlm']['num_cores'] = 8
SimInfo.solvers['StaticUvlm']['velocity_field_generator'] = 'SteadyVelocityField'
SimInfo.solvers['StaticUvlm']['velocity_field_input'] = SimInfo.solvers['SteadyVelocityField']
SimInfo.solvers['SaveData']['compress_float'] = True
# Only used for steady_simulation = False
SimInfo.solvers['StepUvlm']['convection_scheme'] = 3
SimInfo.solvers['StepUvlm']['num_cores'] = 8
SimInfo.solvers['StepUvlm']['velocity_field_generator'] = 'SteadyVelocityField'
SimInfo.solvers['StepUvlm']['velocity_field_input'] = SimInfo.solvers['SteadyVelocityField']
SimInfo.solvers['DynamicCoupled']['structural_solver'] = 'RigidDynamicPrescribedStep'
SimInfo.solvers['DynamicCoupled']['structural_solver_settings'] = SimInfo.solvers['RigidDynamicPrescribedStep']
SimInfo.solvers['DynamicCoupled']['aero_solver'] = 'StepUvlm'
SimInfo.solvers['DynamicCoupled']['aero_solver_settings'] = SimInfo.solvers['StepUvlm']
SimInfo.solvers['DynamicCoupled']['postprocessors'] = ['BeamPlot', 'AerogridPlot', 'Cleanup', 'SaveData']
SimInfo.solvers['DynamicCoupled']['postprocessors_settings'] = {'BeamPlot': SimInfo.solvers['BeamPlot'],
'AerogridPlot': SimInfo.solvers['AerogridPlot'],
'Cleanup': SimInfo.solvers['Cleanup'],
'SaveData': SimInfo.solvers['SaveData']}
SimInfo.solvers['DynamicCoupled']['minimum_steps'] = 0
SimInfo.solvers['DynamicCoupled']['include_unsteady_force_contribution'] = True
SimInfo.solvers['DynamicCoupled']['relaxation_factor'] = 0.
SimInfo.solvers['DynamicCoupled']['final_relaxation_factor'] = 0.
SimInfo.solvers['DynamicCoupled']['dynamic_relaxation'] = False
SimInfo.solvers['DynamicCoupled']['relaxation_steps'] = 0
# Define dynamic simulation (used regardless the value of "steady_simulation" variable)
SimInfo.define_num_steps(time_steps)
SimInfo.with_forced_vel = True
SimInfo.for_vel = np.zeros((time_steps,6), dtype=float)
SimInfo.for_vel[:,5] = rotation_velocity
SimInfo.for_acc = np.zeros((time_steps,6), dtype=float)
SimInfo.with_dynamic_forces = True
SimInfo.dynamic_forces = np.zeros((time_steps,rotor.StructuralInformation.num_node,6), dtype=float)
Generate simulation files
[9]:
gc.clean_test_files(SimInfo.solvers['SHARPy']['route'], SimInfo.solvers['SHARPy']['case'])
rotor.generate_h5_files(SimInfo.solvers['SHARPy']['route'], SimInfo.solvers['SHARPy']['case'])
SimInfo.generate_solver_file()
SimInfo.generate_dyn_file(time_steps)
Run SHARPy case¶
[10]:
sharpy_output = sharpy.sharpy_main.main(['', SimInfo.solvers['SHARPy']['route'] + SimInfo.solvers['SHARPy']['case'] + '.sharpy'])
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Aeroelastics Lab, Aeronautics Department.
Copyright (c), Imperial College London.
All rights reserved.
License available at https://github.com/imperialcollegelondon/sharpy
Running SHARPy from /home/am3717/code/sharpy/docs/source/content/example_notebooks
SHARPy being run is in /home/am3717/code/sharpy
The branch being run is dev_setting_error
The version and commit hash are: v1.2.1-357-gbb7c4b4-bb7c4b4
SHARPy output folder set
./output//rotor/
Generating an instance of BeamLoader
Generating an instance of AerogridLoader
Variable shear_direction has no assigned value in the settings file.
will default to the value: [1. 0. 0.]
Variable shear_exp has no assigned value in the settings file.
will default to the value: 0.0
Variable h_ref has no assigned value in the settings file.
will default to the value: 1.0
Variable h_corr has no assigned value in the settings file.
will default to the value: 1.0
The aerodynamic grid contains 3 surfaces
Surface 0, M=8, N=26
Wake 0, M=450, N=26
Surface 1, M=8, N=26
Wake 1, M=450, N=26
Surface 2, M=8, N=26
Wake 2, M=450, N=26
In total: 624 bound panels
In total: 35100 wake panels
Total number of panels = 35724
Generating an instance of StaticCoupledRBM
Generating an instance of RigidDynamicPrescribedStep
Generating an instance of StaticUvlm
i_step: 0, i_iter: 0
Resultant forces and moments: (array([2.54814836e-08, 5.82946313e-09, 2.09459948e+04]), array([1.53411975e-07, 3.24440634e-08, 5.96558361e+06]))
Generating an instance of DynamicCoupled
Generating an instance of RigidDynamicPrescribedStep
Generating an instance of StepUvlm
Generating an instance of BeamPlot
Generating an instance of AerogridPlot
Generating an instance of Cleanup
Generating an instance of SaveData
|=======|========|======|==============|==============|==============|==============|==============|
| ts | t | iter | struc ratio | iter time | residual vel | FoR_vel(x) | FoR_vel(z) |
|=======|========|======|==============|==============|==============|==============|==============|
| 1 | 0.0551 | 1 | 0.000251 | 56.804234 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 2 | 0.1102 | 1 | 0.000177 | 60.232129 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 3 | 0.1653 | 1 | 0.000234 | 59.442611 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 4 | 0.2204 | 1 | 0.000290 | 64.383652 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 5 | 0.2755 | 1 | 0.000275 | 52.774436 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 6 | 0.3306 | 1 | 0.000293 | 48.828457 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 7 | 0.3857 | 1 | 0.000316 | 49.762675 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 8 | 0.4408 | 1 | 0.000227 | 49.627842 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 9 | 0.4959 | 1 | 0.000193 | 58.254770 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 10 | 0.5510 | 1 | 0.000233 | 49.347327 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 11 | 0.6061 | 1 | 0.000222 | 51.950339 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 12 | 0.6612 | 1 | 0.000195 | 58.489715 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 13 | 0.7163 | 1 | 0.000190 | 55.497720 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 14 | 0.7713 | 1 | 0.000287 | 49.864559 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 15 | 0.8264 | 1 | 0.000198 | 56.915311 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 16 | 0.8815 | 1 | 0.000273 | 52.475129 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 17 | 0.9366 | 1 | 0.000212 | 53.472742 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 18 | 0.9917 | 1 | 0.000220 | 51.679432 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 19 | 1.0468 | 1 | 0.000230 | 49.468328 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 20 | 1.1019 | 1 | 0.000233 | 48.806374 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 21 | 1.1570 | 1 | 0.000214 | 51.507987 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 22 | 1.2121 | 1 | 0.000152 | 75.114590 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 23 | 1.2672 | 1 | 0.000178 | 63.764692 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 24 | 1.3223 | 1 | 0.000232 | 48.927093 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 25 | 1.3774 | 1 | 0.000205 | 55.065928 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 26 | 1.4325 | 1 | 0.000209 | 53.747631 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 27 | 1.4876 | 1 | 0.000215 | 65.487096 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 28 | 1.5427 | 1 | 0.000366 | 52.159906 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 29 | 1.5978 | 1 | 0.000286 | 50.405248 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 30 | 1.6529 | 1 | 0.000243 | 53.903698 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 31 | 1.7080 | 1 | 0.000189 | 55.762230 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 32 | 1.7631 | 1 | 0.000230 | 49.679477 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 33 | 1.8182 | 1 | 0.000267 | 49.140923 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 34 | 1.8733 | 1 | 0.000217 | 51.686471 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 35 | 1.9284 | 1 | 0.000227 | 49.924635 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 36 | 1.9835 | 1 | 0.000290 | 49.295199 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 37 | 2.0386 | 1 | 0.000231 | 49.096186 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 38 | 2.0937 | 1 | 0.000267 | 53.824351 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 39 | 2.1488 | 1 | 0.000274 | 50.208116 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 40 | 2.2039 | 1 | 0.000164 | 68.475332 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 41 | 2.2590 | 1 | 0.000219 | 51.476537 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 42 | 2.3140 | 1 | 0.000258 | 50.780835 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 43 | 2.3691 | 1 | 0.000205 | 54.508414 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 44 | 2.4242 | 1 | 0.000229 | 49.643120 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 45 | 2.4793 | 1 | 0.000423 | 49.510440 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 46 | 2.5344 | 1 | 0.000229 | 49.386177 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 47 | 2.5895 | 1 | 0.000224 | 51.096846 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 48 | 2.6446 | 1 | 0.000429 | 67.054611 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 49 | 2.6997 | 1 | 0.000674 | 49.034094 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 50 | 2.7548 | 1 | 0.000473 | 67.770922 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 51 | 2.8099 | 1 | 0.000623 | 52.057162 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 52 | 2.8650 | 1 | 0.000197 | 57.338530 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 53 | 2.9201 | 1 | 0.000211 | 53.323214 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 54 | 2.9752 | 1 | 0.000228 | 49.446313 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 55 | 3.0303 | 1 | 0.000226 | 50.531894 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 56 | 3.0854 | 1 | 0.000216 | 49.277498 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 57 | 3.1405 | 1 | 0.000229 | 49.378688 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 58 | 3.1956 | 1 | 0.000456 | 49.096131 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 59 | 3.2507 | 1 | 0.000638 | 49.407950 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 60 | 3.3058 | 1 | 0.000644 | 49.355487 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 61 | 3.3609 | 1 | 0.000429 | 52.381709 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 62 | 3.4160 | 1 | 0.000227 | 50.244867 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 63 | 3.4711 | 1 | 0.000226 | 50.090238 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 64 | 3.5262 | 1 | 0.000221 | 50.890983 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 65 | 3.5813 | 1 | 0.000292 | 52.582257 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 66 | 3.6364 | 1 | 0.000229 | 48.970770 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 67 | 3.6915 | 1 | 0.000211 | 53.921150 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 68 | 3.7466 | 1 | 0.000276 | 49.332785 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 69 | 3.8017 | 1 | 0.000405 | 49.861912 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 70 | 3.8567 | 1 | 0.000678 | 50.109032 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 71 | 3.9118 | 1 | 0.000627 | 50.052867 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 72 | 3.9669 | 1 | 0.000231 | 49.125818 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 73 | 4.0220 | 1 | 0.000215 | 52.475354 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 74 | 4.0771 | 1 | 0.000302 | 51.044905 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 75 | 4.1322 | 1 | 0.000232 | 49.154350 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 76 | 4.1873 | 1 | 0.000263 | 49.587372 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 77 | 4.2424 | 1 | 0.000382 | 48.959923 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 78 | 4.2975 | 1 | 0.000207 | 54.498279 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 79 | 4.3526 | 1 | 0.000209 | 55.866552 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 80 | 4.4077 | 1 | 0.000222 | 50.659905 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 81 | 4.4628 | 1 | 0.000232 | 49.229321 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 82 | 4.5179 | 1 | 0.000230 | 49.197802 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 83 | 4.5730 | 1 | 0.000244 | 58.532026 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 84 | 4.6281 | 1 | 0.000229 | 49.010943 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 85 | 4.6832 | 1 | 0.000236 | 49.181471 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 86 | 4.7383 | 1 | 0.000234 | 50.404876 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 87 | 4.7934 | 1 | 0.000223 | 50.863604 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 88 | 4.8485 | 1 | 0.000232 | 49.386036 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 89 | 4.9036 | 1 | 0.000292 | 48.966426 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 90 | 4.9587 | 1 | 0.000204 | 55.176201 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 91 | 5.0138 | 1 | 0.000381 | 49.363449 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 92 | 5.0689 | 1 | 0.000254 | 51.436284 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 93 | 5.1240 | 1 | 0.000427 | 54.203413 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 94 | 5.1791 | 1 | 0.000278 | 51.088371 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 95 | 5.2342 | 1 | 0.000221 | 51.267494 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 96 | 5.2893 | 1 | 0.000220 | 51.246126 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 97 | 5.3444 | 1 | 0.000261 | 50.044367 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 98 | 5.3994 | 1 | 0.000237 | 48.928531 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 99 | 5.4545 | 1 | 0.000230 | 48.869230 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 100 | 5.5096 | 1 | 0.000229 | 49.124024 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 101 | 5.5647 | 1 | 0.000230 | 49.170615 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 102 | 5.6198 | 1 | 0.000227 | 51.072559 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 103 | 5.6749 | 1 | 0.000230 | 49.106752 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 104 | 5.7300 | 1 | 0.000230 | 49.157374 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 105 | 5.7851 | 1 | 0.000230 | 48.729726 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 106 | 5.8402 | 1 | 0.000230 | 49.307981 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 107 | 5.8953 | 1 | 0.000232 | 49.303297 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 108 | 5.9504 | 1 | 0.000228 | 49.388923 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 109 | 6.0055 | 1 | 0.000251 | 49.505395 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 110 | 6.0606 | 1 | 0.000294 | 49.671154 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 111 | 6.1157 | 1 | 0.000637 | 49.106910 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 112 | 6.1708 | 1 | 0.000668 | 49.600747 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 113 | 6.2259 | 1 | 0.000694 | 48.788273 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 114 | 6.2810 | 1 | 0.000605 | 49.259812 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 115 | 6.3361 | 1 | 0.000235 | 49.096078 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 116 | 6.3912 | 1 | 0.000235 | 48.627974 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 117 | 6.4463 | 1 | 0.000231 | 48.687230 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 118 | 6.5014 | 1 | 0.000261 | 50.182136 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 119 | 6.5565 | 1 | 0.000220 | 51.480792 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 120 | 6.6116 | 1 | 0.000212 | 52.759361 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 121 | 6.6667 | 1 | 0.000234 | 61.395446 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 122 | 6.7218 | 1 | 0.000196 | 57.312678 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 123 | 6.7769 | 1 | 0.000196 | 57.288595 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 124 | 6.8320 | 1 | 0.000219 | 52.597533 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 125 | 6.8871 | 1 | 0.000279 | 51.215139 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 126 | 6.9421 | 1 | 0.000232 | 48.835388 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 127 | 6.9972 | 1 | 0.000228 | 49.442145 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 128 | 7.0523 | 1 | 0.000232 | 49.943434 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 129 | 7.1074 | 1 | 0.000265 | 48.943739 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 130 | 7.1625 | 1 | 0.000233 | 48.552538 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 131 | 7.2176 | 1 | 0.000235 | 48.576140 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 132 | 7.2727 | 1 | 0.000227 | 50.729522 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 133 | 7.3278 | 1 | 0.000199 | 57.042671 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 134 | 7.3829 | 1 | 0.000229 | 49.647710 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 135 | 7.4380 | 1 | 0.000377 | 53.191903 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 136 | 7.4931 | 1 | 0.000666 | 50.832518 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 137 | 7.5482 | 1 | 0.000560 | 52.129724 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 138 | 7.6033 | 1 | 0.000593 | 48.825715 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 139 | 7.6584 | 1 | 0.000231 | 49.220850 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 140 | 7.7135 | 1 | 0.000347 | 64.642874 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 141 | 7.7686 | 1 | 0.000615 | 54.791703 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 142 | 7.8237 | 1 | 0.000557 | 55.332506 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 143 | 7.8788 | 1 | 0.000649 | 51.958248 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 144 | 7.9339 | 1 | 0.000431 | 52.224418 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 145 | 7.9890 | 1 | 0.000532 | 60.207598 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 146 | 8.0441 | 1 | 0.000267 | 48.557877 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 147 | 8.0992 | 1 | 0.000283 | 50.720948 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 148 | 8.1543 | 1 | 0.000264 | 54.107664 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 149 | 8.2094 | 1 | 0.000225 | 49.998135 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 150 | 8.2645 | 1 | 0.000297 | 48.723537 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 151 | 8.3196 | 1 | 0.000229 | 48.991915 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 152 | 8.3747 | 1 | 0.000223 | 50.525580 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 153 | 8.4298 | 1 | 0.000372 | 48.880427 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 154 | 8.4848 | 1 | 0.000232 | 48.851891 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 155 | 8.5399 | 1 | 0.000231 | 48.731096 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 156 | 8.5950 | 1 | 0.000209 | 53.669843 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 157 | 8.6501 | 1 | 0.000203 | 55.525421 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 158 | 8.7052 | 1 | 0.000216 | 48.727216 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 159 | 8.7603 | 1 | 0.000240 | 52.981239 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 160 | 8.8154 | 1 | 0.000294 | 50.516618 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 161 | 8.8705 | 1 | 0.000198 | 56.957355 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 162 | 8.9256 | 1 | 0.000268 | 48.780843 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 163 | 8.9807 | 1 | 0.000228 | 49.216988 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 164 | 9.0358 | 1 | 0.000228 | 49.020854 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 165 | 9.0909 | 1 | 0.000236 | 48.516192 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 166 | 9.1460 | 1 | 0.000275 | 48.936249 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 167 | 9.2011 | 1 | 0.000229 | 48.984558 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 168 | 9.2562 | 1 | 0.000228 | 50.011495 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 169 | 9.3113 | 1 | 0.000230 | 49.079509 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 170 | 9.3664 | 1 | 0.000232 | 48.940832 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 171 | 9.4215 | 1 | 0.000266 | 48.539668 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 172 | 9.4766 | 1 | 0.000329 | 48.707876 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 173 | 9.5317 | 1 | 0.000344 | 49.214713 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 174 | 9.5868 | 1 | 0.000221 | 50.762513 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 175 | 9.6419 | 1 | 0.000336 | 55.302099 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 176 | 9.6970 | 1 | 0.000217 | 48.736059 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 177 | 9.7521 | 1 | 0.000231 | 48.750098 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 178 | 9.8072 | 1 | 0.000229 | 48.794680 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 179 | 9.8623 | 1 | 0.000225 | 50.519301 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 180 | 9.9174 | 1 | 0.000225 | 49.930789 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 181 | 9.9725 | 1 | 0.000265 | 50.077232 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 182 |10.0275 | 1 | 0.000285 | 50.327260 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 183 |10.0826 | 1 | 0.000319 | 50.215326 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 184 |10.1377 | 1 | 0.000288 | 48.350528 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 185 |10.1928 | 1 | 0.000233 | 48.372314 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 186 |10.2479 | 1 | 0.000232 | 49.104808 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 187 |10.3030 | 1 | 0.000292 | 48.972235 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 188 |10.3581 | 1 | 0.000655 | 48.972110 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 189 |10.4132 | 1 | 0.000233 | 48.457135 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 190 |10.4683 | 1 | 0.000229 | 49.120724 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 191 |10.5234 | 1 | 0.000222 | 51.106254 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 192 |10.5785 | 1 | 0.000232 | 48.794933 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 193 |10.6336 | 1 | 0.000292 | 49.537670 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 194 |10.6887 | 1 | 0.000230 | 49.236260 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 195 |10.7438 | 1 | 0.000603 | 52.529460 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 196 |10.7989 | 1 | 0.000697 | 48.383116 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 197 |10.8540 | 1 | 0.000347 | 48.288813 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 198 |10.9091 | 1 | 0.000227 | 49.550065 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 199 |10.9642 | 1 | 0.000216 | 48.675859 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 200 |11.0193 | 1 | 0.000231 | 49.152487 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 201 |11.0744 | 1 | 0.000235 | 48.778197 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 202 |11.1295 | 1 | 0.000373 | 57.791454 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 203 |11.1846 | 1 | 0.000582 | 57.753718 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 204 |11.2397 | 1 | 0.000451 | 48.675944 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 205 |11.2948 | 1 | 0.000235 | 48.274112 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 206 |11.3499 | 1 | 0.000232 | 48.917871 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 207 |11.4050 | 1 | 0.000293 | 49.482251 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 208 |11.4601 | 1 | 0.000297 | 48.304309 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 209 |11.5152 | 1 | 0.000263 | 49.162448 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 210 |11.5702 | 1 | 0.000227 | 50.845835 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 211 |11.6253 | 1 | 0.000232 | 48.809305 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 212 |11.6804 | 1 | 0.000293 | 48.950330 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 213 |11.7355 | 1 | 0.000298 | 48.481146 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 214 |11.7906 | 1 | 0.000234 | 48.222179 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 215 |11.8457 | 1 | 0.000225 | 48.228569 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 216 |11.9008 | 1 | 0.000218 | 48.173668 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 217 |11.9559 | 1 | 0.000230 | 48.496389 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 218 |12.0110 | 1 | 0.000212 | 53.240908 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 219 |12.0661 | 1 | 0.000224 | 51.372105 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 220 |12.1212 | 1 | 0.000419 | 49.490550 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 221 |12.1763 | 1 | 0.000459 | 49.025501 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 222 |12.2314 | 1 | 0.000210 | 53.157816 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 223 |12.2865 | 1 | 0.000233 | 48.099241 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 224 |12.3416 | 1 | 0.000241 | 59.450060 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 225 |12.3967 | 1 | 0.000224 | 50.153783 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 226 |12.4518 | 1 | 0.000169 | 67.550282 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 227 |12.5069 | 1 | 0.000635 | 51.062920 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 228 |12.5620 | 1 | 0.000233 | 48.498621 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 229 |12.6171 | 1 | 0.000647 | 48.837410 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 230 |12.6722 | 1 | 0.000685 | 48.524438 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 231 |12.7273 | 1 | 0.000645 | 47.972726 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 232 |12.7824 | 1 | 0.000698 | 48.332650 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 233 |12.8375 | 1 | 0.000291 | 49.344210 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 234 |12.8926 | 1 | 0.000231 | 48.621207 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 235 |12.9477 | 1 | 0.000211 | 53.099352 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 236 |13.0028 | 1 | 0.000231 | 48.779174 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 237 |13.0579 | 1 | 0.000221 | 52.508748 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 238 |13.1129 | 1 | 0.000197 | 57.071891 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 239 |13.1680 | 1 | 0.000232 | 48.635785 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 240 |13.2231 | 1 | 0.000228 | 49.653808 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 241 |13.2782 | 1 | 0.000232 | 49.880283 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 242 |13.3333 | 1 | 0.000219 | 50.989864 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 243 |13.3884 | 1 | 0.000218 | 51.562733 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 244 |13.4435 | 1 | 0.000175 | 60.525012 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 245 |13.4986 | 1 | 0.000208 | 53.714735 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 246 |13.5537 | 1 | 0.000188 | 60.430187 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 247 |13.6088 | 1 | 0.000580 | 55.369422 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 248 |13.6639 | 1 | 0.000376 | 52.945929 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 249 |13.7190 | 1 | 0.000221 | 50.621281 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 250 |13.7741 | 1 | 0.000222 | 51.930545 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 251 |13.8292 | 1 | 0.000203 | 55.750479 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 252 |13.8843 | 1 | 0.000228 | 49.736165 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 253 |13.9394 | 1 | 0.000239 | 48.733683 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 254 |13.9945 | 1 | 0.000228 | 48.860423 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 255 |14.0496 | 1 | 0.000234 | 48.158656 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 256 |14.1047 | 1 | 0.000222 | 48.995898 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 257 |14.1598 | 1 | 0.000181 | 61.699569 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 258 |14.2149 | 1 | 0.000217 | 51.853006 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 259 |14.2700 | 1 | 0.000231 | 48.370357 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 260 |14.3251 | 1 | 0.000231 | 48.536412 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 261 |14.3802 | 1 | 0.000231 | 48.706123 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 262 |14.4353 | 1 | 0.000321 | 48.889459 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 263 |14.4904 | 1 | 0.000232 | 48.413389 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 264 |14.5455 | 1 | 0.000183 | 61.637297 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 265 |14.6006 | 1 | 0.000266 | 51.996729 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 266 |14.6556 | 1 | 0.000440 | 51.124606 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 267 |14.7107 | 1 | 0.000206 | 54.482224 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 268 |14.7658 | 1 | 0.000227 | 49.396567 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 269 |14.8209 | 1 | 0.000216 | 48.399076 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 270 |14.8760 | 1 | 0.000225 | 49.932379 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 271 |14.9311 | 1 | 0.000229 | 48.837313 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 272 |14.9862 | 1 | 0.000234 | 48.303012 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 273 |15.0413 | 1 | 0.000297 | 48.557886 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 274 |15.0964 | 1 | 0.000232 | 48.462573 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 275 |15.1515 | 1 | 0.000235 | 48.074680 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 276 |15.2066 | 1 | 0.000237 | 47.978437 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 277 |15.2617 | 1 | 0.000218 | 48.799704 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 278 |15.3168 | 1 | 0.000180 | 61.907709 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 279 |15.3719 | 1 | 0.000223 | 50.256748 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 280 |15.4270 | 1 | 0.000229 | 49.243923 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 281 |15.4821 | 1 | 0.000453 | 49.924487 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 282 |15.5372 | 1 | 0.000350 | 49.501563 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 283 |15.5923 | 1 | 0.000234 | 48.333380 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 284 |15.6474 | 1 | 0.000223 | 50.163273 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 285 |15.7025 | 1 | 0.000225 | 50.068699 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 286 |15.7576 | 1 | 0.000229 | 48.458516 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 287 |15.8127 | 1 | 0.000231 | 49.273332 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 288 |15.8678 | 1 | 0.000232 | 48.548550 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 289 |15.9229 | 1 | 0.000224 | 51.276163 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 290 |15.9780 | 1 | 0.000233 | 48.570122 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 291 |16.0331 | 1 | 0.000192 | 50.266936 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 292 |16.0882 | 1 | 0.000295 | 48.692444 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 293 |16.1433 | 1 | 0.000202 | 48.893389 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 294 |16.1983 | 1 | 0.000443 | 50.813372 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 295 |16.2534 | 1 | 0.000529 | 60.601432 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 296 |16.3085 | 1 | 0.000571 | 50.993108 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 297 |16.3636 | 1 | 0.000228 | 49.065097 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 298 |16.4187 | 1 | 0.000234 | 48.226984 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 299 |16.4738 | 1 | 0.000233 | 48.534926 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 300 |16.5289 | 1 | 0.000627 | 48.788802 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 301 |16.5840 | 1 | 0.000555 | 60.530895 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 302 |16.6391 | 1 | 0.000628 | 48.944436 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 303 |16.6942 | 1 | 0.000427 | 49.049230 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 304 |16.7493 | 1 | 0.000236 | 47.892993 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 305 |16.8044 | 1 | 0.000325 | 48.441506 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 306 |16.8595 | 1 | 0.000236 | 48.047404 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 307 |16.9146 | 1 | 0.000232 | 48.215284 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 308 |16.9697 | 1 | 0.000226 | 50.124858 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 309 |17.0248 | 1 | 0.000213 | 52.395805 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 310 |17.0799 | 1 | 0.000222 | 51.302776 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 311 |17.1350 | 1 | 0.000439 | 51.171773 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 312 |17.1901 | 1 | 0.000232 | 49.032143 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 313 |17.2452 | 1 | 0.000233 | 48.628400 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 314 |17.3003 | 1 | 0.000237 | 47.940311 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 315 |17.3554 | 1 | 0.000216 | 51.865635 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 316 |17.4105 | 1 | 0.000373 | 54.905208 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 317 |17.4656 | 1 | 0.000310 | 48.191338 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 318 |17.5207 | 1 | 0.000409 | 48.607705 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 319 |17.5758 | 1 | 0.000350 | 53.126807 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 320 |17.6309 | 1 | 0.000236 | 47.827493 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 321 |17.6860 | 1 | 0.000233 | 48.142512 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 322 |17.7410 | 1 | 0.000233 | 48.315800 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 323 |17.7961 | 1 | 0.000203 | 55.821999 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 324 |17.8512 | 1 | 0.000227 | 49.786573 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 325 |17.9063 | 1 | 0.000424 | 53.387859 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 326 |17.9614 | 1 | 0.000447 | 50.685506 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 327 |18.0165 | 1 | 0.000235 | 48.078798 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 328 |18.0716 | 1 | 0.000232 | 48.322922 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 329 |18.1267 | 1 | 0.000223 | 48.098878 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 330 |18.1818 | 1 | 0.000201 | 48.656743 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 331 |18.2369 | 1 | 0.000273 | 48.314217 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 332 |18.2920 | 1 | 0.000224 | 48.475068 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 333 |18.3471 | 1 | 0.000230 | 48.642246 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 334 |18.4022 | 1 | 0.000194 | 57.654265 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 335 |18.4573 | 1 | 0.000225 | 50.092508 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 336 |18.5124 | 1 | 0.000291 | 49.505815 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 337 |18.5675 | 1 | 0.000228 | 49.799143 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 338 |18.6226 | 1 | 0.000272 | 48.344175 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 339 |18.6777 | 1 | 0.000219 | 48.669889 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 340 |18.7328 | 1 | 0.000221 | 48.424671 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 341 |18.7879 | 1 | 0.000204 | 55.293948 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 342 |18.8430 | 1 | 0.000361 | 48.517776 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 343 |18.8981 | 1 | 0.000218 | 52.256841 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 344 |18.9532 | 1 | 0.000232 | 48.441100 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 345 |19.0083 | 1 | 0.000234 | 48.389977 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 346 |19.0634 | 1 | 0.000230 | 48.982534 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 347 |19.1185 | 1 | 0.000231 | 48.746604 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 348 |19.1736 | 1 | 0.000229 | 56.961390 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 349 |19.2287 | 1 | 0.000188 | 59.830517 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 350 |19.2837 | 1 | 0.000296 | 51.906979 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 351 |19.3388 | 1 | 0.000217 | 51.754677 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 352 |19.3939 | 1 | 0.000244 | 48.090983 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 353 |19.4490 | 1 | 0.000234 | 48.219884 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 354 |19.5041 | 1 | 0.000211 | 53.274204 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 355 |19.5592 | 1 | 0.000236 | 47.988238 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 356 |19.6143 | 1 | 0.000236 | 48.149312 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 357 |19.6694 | 1 | 0.000231 | 48.684465 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 358 |19.7245 | 1 | 0.000245 | 48.573752 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 359 |19.7796 | 1 | 0.000255 | 48.387298 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 360 |19.8347 | 1 | 0.000233 | 48.496933 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 361 |19.8898 | 1 | 0.000298 | 48.227055 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 362 |19.9449 | 1 | 0.000277 | 50.033512 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 363 |20.0000 | 1 | 0.000230 | 48.865905 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 364 |20.0551 | 1 | 0.000233 | 48.282476 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 365 |20.1102 | 1 | 0.000231 | 48.869913 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 366 |20.1653 | 1 | 0.000240 | 48.197653 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 367 |20.2204 | 1 | 0.000236 | 47.995288 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 368 |20.2755 | 1 | 0.000218 | 48.416211 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 369 |20.3306 | 1 | 0.000229 | 49.650859 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 370 |20.3857 | 1 | 0.000281 | 50.925766 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 371 |20.4408 | 1 | 0.000293 | 49.072721 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 372 |20.4959 | 1 | 0.000237 | 47.848434 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 373 |20.5510 | 1 | 0.000461 | 48.577324 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 374 |20.6061 | 1 | 0.000288 | 48.149040 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 375 |20.6612 | 1 | 0.000232 | 48.140545 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 376 |20.7163 | 1 | 0.000627 | 48.528365 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 377 |20.7713 | 1 | 0.000649 | 48.815492 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 378 |20.8264 | 1 | 0.000220 | 48.691541 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 379 |20.8815 | 1 | 0.000234 | 48.163874 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 380 |20.9366 | 1 | 0.000397 | 47.970319 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 381 |20.9917 | 1 | 0.000266 | 49.183593 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 382 |21.0468 | 1 | 0.000228 | 49.448159 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 383 |21.1019 | 1 | 0.000230 | 48.558385 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 384 |21.1570 | 1 | 0.000279 | 48.382636 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 385 |21.2121 | 1 | 0.000237 | 47.482272 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 386 |21.2672 | 1 | 0.000233 | 48.183362 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 387 |21.3223 | 1 | 0.000232 | 48.062299 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 388 |21.3774 | 1 | 0.000235 | 48.362948 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 389 |21.4325 | 1 | 0.000233 | 48.422455 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 390 |21.4876 | 1 | 0.000236 | 48.077169 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 391 |21.5427 | 1 | 0.000218 | 48.317787 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 392 |21.5978 | 1 | 0.000231 | 48.382455 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 393 |21.6529 | 1 | 0.000233 | 48.310206 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 394 |21.7080 | 1 | 0.000219 | 49.225511 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 395 |21.7631 | 1 | 0.000238 | 47.725182 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 396 |21.8182 | 1 | 0.000403 | 48.100903 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 397 |21.8733 | 1 | 0.000227 | 49.886770 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 398 |21.9284 | 1 | 0.000226 | 49.658201 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 399 |21.9835 | 1 | 0.000236 | 48.305113 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 400 |22.0386 | 1 | 0.000213 | 53.014337 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 401 |22.0937 | 1 | 0.000323 | 48.752367 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 402 |22.1488 | 1 | 0.000231 | 48.655110 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 403 |22.2039 | 1 | 0.000302 | 49.894845 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 404 |22.2590 | 1 | 0.000192 | 54.227928 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 405 |22.3140 | 1 | 0.000213 | 53.815790 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 406 |22.3691 | 1 | 0.000231 | 49.235416 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 407 |22.4242 | 1 | 0.000232 | 48.387503 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 408 |22.4793 | 1 | 0.000220 | 52.815450 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 409 |22.5344 | 1 | 0.000232 | 48.253041 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 410 |22.5895 | 1 | 0.000218 | 52.584628 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 411 |22.6446 | 1 | 0.000222 | 50.874607 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 412 |22.6997 | 1 | 0.000234 | 48.125687 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 413 |22.7548 | 1 | 0.000314 | 65.912785 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 414 |22.8099 | 1 | 0.000294 | 48.712801 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 415 |22.8650 | 1 | 0.000234 | 48.264049 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 416 |22.9201 | 1 | 0.000219 | 52.101943 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 417 |22.9752 | 1 | 0.000233 | 48.181907 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 418 |23.0303 | 1 | 0.000239 | 47.737343 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 419 |23.0854 | 1 | 0.000189 | 55.077763 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 420 |23.1405 | 1 | 0.000252 | 48.412007 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 421 |23.1956 | 1 | 0.000207 | 52.025445 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 422 |23.2507 | 1 | 0.000202 | 55.306192 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 423 |23.3058 | 1 | 0.000235 | 48.069254 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 424 |23.3609 | 1 | 0.000268 | 48.786326 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 425 |23.4160 | 1 | 0.000234 | 48.662434 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 426 |23.4711 | 1 | 0.000430 | 48.229208 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 427 |23.5262 | 1 | 0.000660 | 48.355178 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 428 |23.5813 | 1 | 0.000475 | 47.940589 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 429 |23.6364 | 1 | 0.000464 | 48.627356 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 430 |23.6915 | 1 | 0.000231 | 48.519762 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 431 |23.7466 | 1 | 0.000233 | 48.359547 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 432 |23.8017 | 1 | 0.000273 | 48.313746 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 433 |23.8567 | 1 | 0.000237 | 47.977213 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 434 |23.9118 | 1 | 0.000226 | 49.786822 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 435 |23.9669 | 1 | 0.000231 | 48.641675 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 436 |24.0220 | 1 | 0.000263 | 50.056180 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 437 |24.0771 | 1 | 0.000239 | 48.169318 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 438 |24.1322 | 1 | 0.000237 | 47.903935 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 439 |24.1873 | 1 | 0.000235 | 48.071315 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 440 |24.2424 | 1 | 0.000298 | 47.997039 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 441 |24.2975 | 1 | 0.000204 | 51.404477 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 442 |24.3526 | 1 | 0.000234 | 48.367934 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 443 |24.4077 | 1 | 0.000297 | 48.626223 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 444 |24.4628 | 1 | 0.000254 | 48.214660 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 445 |24.5179 | 1 | 0.000234 | 47.731147 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 446 |24.5730 | 1 | 0.000268 | 48.701918 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 447 |24.6281 | 1 | 0.000233 | 48.425494 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 448 |24.6832 | 1 | 0.000233 | 48.324203 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 449 |24.7383 | 1 | 0.000228 | 49.378323 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
| 450 |24.7934 | 1 | 0.000229 | 48.777402 | 0.000000 | 0.000000e+00 | 0.000000e+00 |
...Finished
FINISHED - Elapsed time = 23245.3692466 seconds
FINISHED - CPU process time = 92349.9106726 seconds
Postprocessing¶
Read the structural and aerodynamic information of the last time step
[11]:
tstep = sharpy_output.structure.timestep_info[-1]
astep = sharpy_output.aero.timestep_info[-1]
Separate the structure into blades
[12]:
# Define beams
ielem = 0
nblades = np.max(sharpy_output.structure.beam_number) + 1
nodes_blade = []
first_node = 0
for iblade in range(nblades):
nodes_blade.append(np.zeros((sharpy_output.structure.num_node,), dtype=bool))
while sharpy_output.structure.beam_number[ielem] <= iblade:
ielem += 1
if ielem == sharpy_output.structure.num_elem:
break
nodes_blade[iblade][first_node:sharpy_output.structure.connectivities[ielem-1,1]+1] = True
first_node = sharpy_output.structure.connectivities[ielem-1,1]+1
Compute the radial position of the nodes and initialise the rest of the variables
[13]:
r = []
c = []
dr = []
forces = []
CN_drR = []
CTan_drR = []
CP_drR = []
nodes_num = []
for iblade in range(nblades):
forces.append(tstep.steady_applied_forces[nodes_blade[iblade]].copy())
nodes_num.append(np.arange(0, sharpy_output.structure.num_node, 1)[nodes_blade[iblade]])
r.append(np.linalg.norm(tstep.pos[nodes_blade[iblade], :], axis=1))
dr.append(np.zeros(np.sum(nodes_blade[iblade])))
dr[iblade][0] = 0.5*(r[iblade][1]-r[iblade][0])
dr[iblade][-1] = 0.5 * (r[iblade][-1] - r[iblade][-2])
for inode in range(1,len(r[iblade]) - 1):
dr[iblade][inode] = 0.5*(r[iblade][inode+1] - r[iblade][inode-1])
CN_drR.append(np.zeros(len(r[iblade])))
c.append(np.zeros(len(r[iblade])))
CTan_drR.append(np.zeros(len(r[iblade])))
CP_drR.append(np.zeros(len(r[iblade])))
Transform the loads computed by SHARPy into out-of-plane and in-plane components
[14]:
rho = sharpy_output.settings['StaticCoupledRBM']['aero_solver_settings']['rho']
uinf = sharpy_output.settings['StaticCoupledRBM']['aero_solver_settings']['velocity_field_input']['u_inf']
R = np.max(r[0])
Cp = 0
Ct = 0
global_force_factor = 0.5 * rho * uinf** 2 * np.pi * R**2
global_power_factor = global_force_factor*uinf
for iblade in range(nblades):
for inode in range(len(r[iblade])):
forces[iblade][inode, 0] *= 0. # Discard the spanwise component
node_global_index = nodes_num[iblade][inode]
ielem = sharpy_output.structure.node_master_elem[node_global_index, 0]
inode_in_elem = sharpy_output.structure.node_master_elem[node_global_index, 1]
CAB = algebra.crv2rotation(tstep.psi[ielem, inode_in_elem, :])
c[iblade][inode] = sharpy_output.aero.aero_dict['chord'][ielem,inode_in_elem]
forces_AFoR = np.dot(CAB, forces[iblade][inode, 0:3])
CN_drR[iblade][inode] = forces_AFoR[2]/dr[iblade][inode]*R / global_force_factor
CTan_drR[iblade][inode] = np.linalg.norm(forces_AFoR[0:2])/dr[iblade][inode]*R / global_force_factor
CP_drR[iblade][inode] = np.linalg.norm(forces_AFoR[0:2])/dr[iblade][inode]*R * r[iblade][inode]*rotation_velocity / global_power_factor
Cp += np.sum(CP_drR[iblade]*dr[iblade]/R)
Ct += np.sum(CN_drR[iblade]*dr[iblade]/R)
Results¶
Plot of the loads along the blade
[15]:
fig, list_plots = plt.subplots(1, 2, figsize=(12, 3))
list_plots[0].grid()
list_plots[0].set_xlabel("r/R [-]")
list_plots[0].set_ylabel("CN/d(r/R) [-]")
list_plots[0].plot(r[0]/R, CN_drR[0], '-', label='SHARPy')
list_plots[0].plot(of_rR, of_cNdrR, '-', label='OpenFAST')
list_plots[0].legend()
list_plots[1].grid()
list_plots[1].set_xlabel("r/R [-]")
list_plots[1].set_ylabel("CT/d(r/R) [-]")
list_plots[1].plot(r[0]/R, CTan_drR[0], '-', label='SHARPy')
list_plots[1].plot(of_rR, of_cTdrR, '-', label='OpenFAST')
list_plots[1].legend()
plt.show()
Print the rotor thrust and power coefficients
[16]:
print(" OpenFAST SHARPy")
print("Cp[-] %.2f %.2f" % (of_cp, Cp))
print("Ct[-] %.2f %.2f" % (of_ct, Ct))
OpenFAST SHARPy
Cp[-] 0.49 0.52
Ct[-] 0.70 0.70