{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Simulation NREL 5MW wind turbine"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"![](\"https://raw.githubusercontent.com/ImperialCollegeLondon/sharpy/dev_doc/docs/source/content/example_notebooks/images/turbulence_no_legend.png\")
"
],
"text/plain": [
""
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%config InlineBackend.figure_format = 'svg'\n",
"from IPython.display import Image\n",
"url = 'https://raw.githubusercontent.com/ImperialCollegeLondon/sharpy/dev_doc/docs/source/content/example_notebooks/images/turbulence_no_legend.png'\n",
"Image(url=url, width=800)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this notebook:\n",
"\n",
"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."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"OpenFAST: _https://openfast.readthedocs.io_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"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"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Load the required packages:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Required packages\n",
"%matplotlib inline\n",
"import numpy as np\n",
"import os\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Required SHARPy modules\n",
"import sharpy.sharpy_main\n",
"import sharpy.utils.algebra as algebra\n",
"import sharpy.utils.generate_cases as gc\n",
"import sharpy.cases.templates.template_wt as template_wt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"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"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"of_rR = np.array([0.20158356, 0.3127131, 0.40794048, 0.5984148, 0.6936519, 0.85238045, 0.899999, 0.95555407, 0.98729974, 1.0])\n",
"of_cNdrR = np.array([0.08621394, 0.14687876, 0.19345148, 0.2942731, 0.36003628, 0.43748564, 0.44762507, 0.38839236, 0.29782477, 0.0])\n",
"of_cTdrR = np.array([0.048268348, 0.051957503, 0.05304592, 0.052862607, 0.056001827, 0.0536646, 0.050112925, 0.038993906, 0.023664437, 0.0])\n",
"\n",
"of_ct = 0.69787693\n",
"of_cp = 0.48813498"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create SHARPy case"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We define our parameters:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# Mathematical constants\n",
"deg2rad = np.pi/180.\n",
"\n",
"# Case\n",
"case = 'rotor'\n",
"route = './'\n",
"\n",
"# Geometry discretization\n",
"chord_panels = np.array([8], dtype=int)\n",
"revs_in_wake = 5\n",
"\n",
"# Operation\n",
"rotation_velocity = 12.1*2*np.pi/60\n",
"pitch_deg = 0. #degrees\n",
"\n",
"# Wind\n",
"WSP = 12.\n",
"air_density = 1.225\n",
"\n",
"# Simulation\n",
"dphi = 4.*deg2rad\n",
"revs_to_simulate = 5"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Computation of associated parameters"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"dt = dphi/rotation_velocity\n",
"time_steps = int(revs_to_simulate*2.*np.pi/dphi)\n",
"mstar = int(revs_in_wake*2.*np.pi/dphi)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generation of the rotor geometry based on information in the excel file:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[33mWARNING: The poisson cofficient is assumed equal to 0.3\u001b[0m\n",
"\u001b[33mWARNING: Cross-section area is used as shear area\u001b[0m\n",
"\u001b[33mWARNING: Using perpendicular axis theorem to compute the inertia around xB\u001b[0m\n",
"\u001b[33mWARNING: Replacing node 29 by node 0\u001b[0m\n",
"\u001b[33mWARNING: Replacing node 58 by node 0\u001b[0m\n"
]
}
],
"source": [
"op_params = {} \n",
"op_params['rotation_velocity'] = rotation_velocity \n",
"op_params['pitch_deg'] = pitch_deg \n",
"op_params['wsp'] = WSP \n",
"op_params['dt'] = dt \n",
" \n",
"geom_params = {} \n",
"geom_params['chord_panels'] = chord_panels \n",
"geom_params['tol_remove_points'] = 1e-8 \n",
"geom_params['n_points_camber'] = 100 \n",
"geom_params['h5_cross_sec_prop'] = None \n",
"geom_params['m_distribution'] = 'uniform' \n",
" \n",
"options = {} \n",
"options['camber_effect_on_twist'] = False \n",
"options['user_defined_m_distribution_type'] = None \n",
"options['include_polars'] = False \n",
"options['separate_blades'] = False \n",
" \n",
"excel_description = {} \n",
"excel_description['excel_file_name'] = 'source/type04_db_nrel5mw_oc3_v06.xlsx' \n",
"excel_description['excel_sheet_parameters'] = 'parameters' \n",
"excel_description['excel_sheet_structural_blade'] = 'structural_blade' \n",
"excel_description['excel_sheet_discretization_blade'] = 'discretization_blade' \n",
"excel_description['excel_sheet_aero_blade'] = 'aero_blade' \n",
"excel_description['excel_sheet_airfoil_info'] = 'airfoil_info' \n",
"excel_description['excel_sheet_airfoil_chord'] = 'airfoil_coord' \n",
" \n",
"rotor, hub_nodes = template_wt.rotor_from_excel_type03(op_params, \n",
" geom_params, \n",
" excel_description, \n",
" options) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"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."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"steady_simulation = False"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"SimInfo = gc.SimulationInformation()\n",
"SimInfo.set_default_values()\n",
"\n",
"if steady_simulation:\n",
" SimInfo.solvers['SHARPy']['flow'] = ['BeamLoader',\n",
" 'AerogridLoader',\n",
" 'StaticCoupled',\n",
" 'BeamPlot',\n",
" 'AerogridPlot', \n",
" 'SaveData'] \n",
"else:\n",
" SimInfo.solvers['SHARPy']['flow'] = ['BeamLoader',\n",
" 'AerogridLoader',\n",
" 'StaticCoupled',\n",
" 'DynamicCoupled']\n",
" \n",
"SimInfo.solvers['SHARPy']['case'] = case\n",
"SimInfo.solvers['SHARPy']['route'] = route\n",
"SimInfo.solvers['SHARPy']['write_log'] = True\n",
"SimInfo.set_variable_all_dicts('dt', dt)\n",
"SimInfo.set_variable_all_dicts('rho', air_density)\n",
"\n",
"SimInfo.solvers['SteadyVelocityField']['u_inf'] = WSP\n",
"SimInfo.solvers['SteadyVelocityField']['u_inf_direction'] = np.array([0., 0., 1.])\n",
"\n",
"SimInfo.solvers['BeamLoader']['unsteady'] = 'on'\n",
"\n",
"SimInfo.solvers['AerogridLoader']['unsteady'] = 'on'\n",
"SimInfo.solvers['AerogridLoader']['mstar'] = mstar\n",
"SimInfo.solvers['AerogridLoader']['freestream_dir'] = np.array([0.,0.,0.])\n",
"SimInfo.solvers['AerogridLoader']['wake_shape_generator'] = 'HelicoidalWake'\n",
"SimInfo.solvers['AerogridLoader']['wake_shape_generator_input'] = {'u_inf': WSP,\n",
" 'u_inf_direction': SimInfo.solvers['SteadyVelocityField']['u_inf_direction'],\n",
" 'rotation_velocity': rotation_velocity*np.array([0., 0., 1.]),\n",
" 'dt': dt,\n",
" 'dphi1': dphi,\n",
" 'ndphi1': mstar,\n",
" 'r': 1.,\n",
" 'dphimax': 10*deg2rad}\n",
" \n",
"SimInfo.solvers['StaticCoupled']['structural_solver'] = 'RigidDynamicPrescribedStep'\n",
"SimInfo.solvers['StaticCoupled']['structural_solver_settings'] = SimInfo.solvers['RigidDynamicPrescribedStep']\n",
"SimInfo.solvers['StaticCoupled']['aero_solver'] = 'StaticUvlm'\n",
"SimInfo.solvers['StaticCoupled']['aero_solver_settings'] = SimInfo.solvers['StaticUvlm']\n",
"\n",
"SimInfo.solvers['StaticCoupled']['tolerance'] = 1e-8\n",
"SimInfo.solvers['StaticCoupled']['n_load_steps'] = 0\n",
"SimInfo.solvers['StaticCoupled']['relaxation_factor'] = 0.\n",
"\n",
"SimInfo.solvers['StaticUvlm']['num_cores'] = 8\n",
"SimInfo.solvers['StaticUvlm']['velocity_field_generator'] = 'SteadyVelocityField'\n",
"SimInfo.solvers['StaticUvlm']['velocity_field_input'] = SimInfo.solvers['SteadyVelocityField']\n",
"\n",
"SimInfo.solvers['SaveData']['compress_float'] = True\n",
" \n",
"# Only used for steady_simulation = False\n",
"SimInfo.solvers['StepUvlm']['convection_scheme'] = 3\n",
"SimInfo.solvers['StepUvlm']['num_cores'] = 8\n",
"SimInfo.solvers['StepUvlm']['velocity_field_generator'] = 'SteadyVelocityField'\n",
"SimInfo.solvers['StepUvlm']['velocity_field_input'] = SimInfo.solvers['SteadyVelocityField']\n",
"\n",
"SimInfo.solvers['DynamicCoupled']['structural_solver'] = 'RigidDynamicPrescribedStep'\n",
"SimInfo.solvers['DynamicCoupled']['structural_solver_settings'] = SimInfo.solvers['RigidDynamicPrescribedStep']\n",
"SimInfo.solvers['DynamicCoupled']['aero_solver'] = 'StepUvlm'\n",
"SimInfo.solvers['DynamicCoupled']['aero_solver_settings'] = SimInfo.solvers['StepUvlm']\n",
"SimInfo.solvers['DynamicCoupled']['postprocessors'] = ['BeamPlot', 'AerogridPlot', 'Cleanup', 'SaveData']\n",
"SimInfo.solvers['DynamicCoupled']['postprocessors_settings'] = {'BeamPlot': SimInfo.solvers['BeamPlot'],\n",
" 'AerogridPlot': SimInfo.solvers['AerogridPlot'],\n",
" 'Cleanup': SimInfo.solvers['Cleanup'],\n",
" 'SaveData': SimInfo.solvers['SaveData']}\n",
"SimInfo.solvers['DynamicCoupled']['minimum_steps'] = 0\n",
"SimInfo.solvers['DynamicCoupled']['include_unsteady_force_contribution'] = True\n",
"SimInfo.solvers['DynamicCoupled']['relaxation_factor'] = 0.\n",
"SimInfo.solvers['DynamicCoupled']['final_relaxation_factor'] = 0.\n",
"SimInfo.solvers['DynamicCoupled']['dynamic_relaxation'] = False\n",
"SimInfo.solvers['DynamicCoupled']['relaxation_steps'] = 0\n",
"\n",
"# Define dynamic simulation (used regardless the value of \"steady_simulation\" variable)\n",
"SimInfo.define_num_steps(time_steps)\n",
"SimInfo.with_forced_vel = True\n",
"SimInfo.for_vel = np.zeros((time_steps,6), dtype=float)\n",
"SimInfo.for_vel[:,5] = rotation_velocity\n",
"SimInfo.for_acc = np.zeros((time_steps,6), dtype=float)\n",
"SimInfo.with_dynamic_forces = True\n",
"SimInfo.dynamic_forces = np.zeros((time_steps,rotor.StructuralInformation.num_node,6), dtype=float)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generate simulation files"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"gc.clean_test_files(SimInfo.solvers['SHARPy']['route'], SimInfo.solvers['SHARPy']['case'])\n",
"rotor.generate_h5_files(SimInfo.solvers['SHARPy']['route'], SimInfo.solvers['SHARPy']['case'])\n",
"SimInfo.generate_solver_file()\n",
"SimInfo.generate_dyn_file(time_steps)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Run SHARPy case"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"--------------------------------------------------------------------------------\u001b[0m\n",
" ###### ## ## ### ######## ######## ## ##\u001b[0m\n",
" ## ## ## ## ## ## ## ## ## ## ## ##\u001b[0m\n",
" ## ## ## ## ## ## ## ## ## ####\u001b[0m\n",
" ###### ######### ## ## ######## ######## ##\u001b[0m\n",
" ## ## ## ######### ## ## ## ##\u001b[0m\n",
" ## ## ## ## ## ## ## ## ## ##\u001b[0m\n",
" ###### ## ## ## ## ## ## ## ##\u001b[0m\n",
"--------------------------------------------------------------------------------\u001b[0m\n",
"Aeroelastics Lab, Aeronautics Department.\u001b[0m\n",
" Copyright (c), Imperial College London.\u001b[0m\n",
" All rights reserved.\u001b[0m\n",
" License available at https://github.com/imperialcollegelondon/sharpy\u001b[0m\n",
"\u001b[36mRunning SHARPy from /home/arturo/code/sharpy/docs/source/content/example_notebooks\u001b[0m\n",
"\u001b[36mSHARPy being run is in /home/arturo/code/sharpy\u001b[0m\n",
"\u001b[36mThe branch being run is dev_blade_pitch_v2\u001b[0m\n",
"\u001b[36mThe version and commit hash are: v1.2.1-546-g05602d1f-05602d1f\u001b[0m\n",
"SHARPy output folder set\u001b[0m\n",
"\u001b[34m\t./output//rotor/\u001b[0m\n",
"\u001b[36mGenerating an instance of BeamLoader\u001b[0m\n",
"\u001b[36mGenerating an instance of AerogridLoader\u001b[0m\n",
"Variable shear_direction has no assigned value in the settings file.\u001b[0m\n",
"\u001b[34m will default to the value: [1. 0. 0.]\u001b[0m\n",
"Variable shear_exp has no assigned value in the settings file.\u001b[0m\n",
"\u001b[34m will default to the value: 0.0\u001b[0m\n",
"Variable h_ref has no assigned value in the settings file.\u001b[0m\n",
"\u001b[34m will default to the value: 1.0\u001b[0m\n",
"Variable h_corr has no assigned value in the settings file.\u001b[0m\n",
"\u001b[34m will default to the value: 1.0\u001b[0m\n",
"\u001b[34mThe aerodynamic grid contains 3 surfaces\u001b[0m\n",
"\u001b[34m Surface 0, M=8, N=26\u001b[0m\n",
" Wake 0, M=450, N=26\u001b[0m\n",
"\u001b[34m Surface 1, M=8, N=26\u001b[0m\n",
" Wake 1, M=450, N=26\u001b[0m\n",
"\u001b[34m Surface 2, M=8, N=26\u001b[0m\n",
" Wake 2, M=450, N=26\u001b[0m\n",
" In total: 624 bound panels\u001b[0m\n",
" In total: 35100 wake panels\u001b[0m\n",
" Total number of panels = 35724\u001b[0m\n",
"\u001b[36mGenerating an instance of StaticCoupled\u001b[0m\n",
"\u001b[36mGenerating an instance of RigidDynamicPrescribedStep\u001b[0m\n",
"\u001b[36mGenerating an instance of StaticUvlm\u001b[0m\n",
"\u001b[0m\n",
"\u001b[0m\n",
"\u001b[0m\n",
"|=====|=====|============|==========|==========|==========|==========|==========|==========|\u001b[0m\n",
"|iter |step | log10(res) | Fx | Fy | Fz | Mx | My | Mz |\u001b[0m\n",
"|=====|=====|============|==========|==========|==========|==========|==========|==========|\u001b[0m\n",
"| 0 | 0 | 0.00000 | -0.0000 | 0.0000 |21927.8250| 0.0000 | -0.0000 |5962997.5361|\u001b[0m\n",
"| 1 | 0 | -inf | -0.0000 | 0.0000 |21927.8250| 0.0000 | -0.0000 |5962997.5361|\u001b[0m\n",
"\u001b[36mGenerating an instance of DynamicCoupled\u001b[0m\n",
"\u001b[36mGenerating an instance of RigidDynamicPrescribedStep\u001b[0m\n",
"\u001b[36mGenerating an instance of StepUvlm\u001b[0m\n",
"\u001b[36mGenerating an instance of BeamPlot\u001b[0m\n",
"\u001b[36mGenerating an instance of AerogridPlot\u001b[0m\n",
"\u001b[36mGenerating an instance of Cleanup\u001b[0m\n",
"\u001b[36mGenerating an instance of SaveData\u001b[0m\n",
"\u001b[0m\n",
"\u001b[0m\n",
"\u001b[0m\n",
"|=======|========|======|==============|==============|==============|==============|==============|\u001b[0m\n",
"| ts | t | iter | struc ratio | iter time | residual vel | FoR_vel(x) | FoR_vel(z) |\u001b[0m\n",
"|=======|========|======|==============|==============|==============|==============|==============|\u001b[0m\n",
"| 1 | 0.0551 | 1 | 0.001471 | 11.072773 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 2 | 0.1102 | 1 | 0.001529 | 11.094774 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 3 | 0.1653 | 1 | 0.001487 | 11.017530 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 4 | 0.2204 | 1 | 0.001487 | 11.053551 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 5 | 0.2755 | 1 | 0.001495 | 10.972424 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 6 | 0.3306 | 1 | 0.001496 | 10.951425 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 7 | 0.3857 | 1 | 0.001492 | 11.018625 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 8 | 0.4408 | 1 | 0.001476 | 11.044770 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 9 | 0.4959 | 1 | 0.001478 | 11.122489 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 10 | 0.5510 | 1 | 0.001500 | 10.997606 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 11 | 0.6061 | 1 | 0.001481 | 11.076450 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 12 | 0.6612 | 1 | 0.001513 | 10.976762 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 13 | 0.7163 | 1 | 0.001489 | 11.056770 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 14 | 0.7713 | 1 | 0.001473 | 11.147662 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 15 | 0.8264 | 1 | 0.001485 | 11.047932 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 16 | 0.8815 | 1 | 0.001500 | 10.984375 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 17 | 0.9366 | 1 | 0.001492 | 10.999334 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 18 | 0.9917 | 1 | 0.001492 | 11.036468 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 19 | 1.0468 | 1 | 0.001490 | 10.989860 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 20 | 1.1019 | 1 | 0.001487 | 10.981977 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 21 | 1.1570 | 1 | 0.001480 | 11.026050 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 22 | 1.2121 | 1 | 0.001501 | 10.964416 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 23 | 1.2672 | 1 | 0.001483 | 11.061231 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 24 | 1.3223 | 1 | 0.001502 | 11.026285 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 25 | 1.3774 | 1 | 0.001497 | 10.937541 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 26 | 1.4325 | 1 | 0.001464 | 11.216671 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 27 | 1.4876 | 1 | 0.001489 | 11.077631 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 28 | 1.5427 | 1 | 0.001487 | 11.029765 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 29 | 1.5978 | 1 | 0.001484 | 11.057365 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 30 | 1.6529 | 1 | 0.001499 | 10.988523 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 31 | 1.7080 | 1 | 0.001480 | 11.082585 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 32 | 1.7631 | 1 | 0.001493 | 11.026814 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 33 | 1.8182 | 1 | 0.001500 | 10.964227 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 34 | 1.8733 | 1 | 0.001496 | 11.070894 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 35 | 1.9284 | 1 | 0.001499 | 10.991359 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 36 | 1.9835 | 1 | 0.001493 | 10.956692 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 37 | 2.0386 | 1 | 0.001489 | 11.022953 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 38 | 2.0937 | 1 | 0.001493 | 11.002933 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 39 | 2.1488 | 1 | 0.001494 | 10.971854 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 40 | 2.2039 | 1 | 0.001499 | 10.956611 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 41 | 2.2590 | 1 | 0.001484 | 11.020658 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 42 | 2.3140 | 1 | 0.001484 | 11.016274 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 43 | 2.3691 | 1 | 0.001490 | 11.171444 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 44 | 2.4242 | 1 | 0.001496 | 10.975332 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 45 | 2.4793 | 1 | 0.001479 | 11.094840 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 46 | 2.5344 | 1 | 0.001484 | 11.060059 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 47 | 2.5895 | 1 | 0.001329 | 12.309849 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 48 | 2.6446 | 1 | 0.001455 | 11.269876 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 49 | 2.6997 | 1 | 0.001489 | 11.076657 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 50 | 2.7548 | 1 | 0.001496 | 10.998456 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 51 | 2.8099 | 1 | 0.001471 | 11.215534 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 52 | 2.8650 | 1 | 0.001494 | 10.981076 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 53 | 2.9201 | 1 | 0.001476 | 11.089418 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 54 | 2.9752 | 1 | 0.001482 | 10.973016 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 55 | 3.0303 | 1 | 0.001469 | 11.115966 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 56 | 3.0854 | 1 | 0.001458 | 11.172810 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 57 | 3.1405 | 1 | 0.001496 | 10.984580 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 58 | 3.1956 | 1 | 0.001451 | 11.196615 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 59 | 3.2507 | 1 | 0.001498 | 10.961545 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 60 | 3.3058 | 1 | 0.001492 | 11.053819 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 61 | 3.3609 | 1 | 0.001492 | 11.066293 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 62 | 3.4160 | 1 | 0.001489 | 11.025009 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 63 | 3.4711 | 1 | 0.001485 | 10.999920 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 64 | 3.5262 | 1 | 0.001505 | 10.973439 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 65 | 3.5813 | 1 | 0.001495 | 10.981763 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 66 | 3.6364 | 1 | 0.001481 | 10.997240 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 67 | 3.6915 | 1 | 0.001489 | 11.030007 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 68 | 3.7466 | 1 | 0.001487 | 10.977346 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 69 | 3.8017 | 1 | 0.001490 | 11.086072 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 70 | 3.8567 | 1 | 0.001478 | 11.027897 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 71 | 3.9118 | 1 | 0.001492 | 10.997195 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 72 | 3.9669 | 1 | 0.001476 | 11.129629 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 73 | 4.0220 | 1 | 0.001491 | 10.996616 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 74 | 4.0771 | 1 | 0.001513 | 10.996785 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 75 | 4.1322 | 1 | 0.001487 | 11.010984 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 76 | 4.1873 | 1 | 0.001504 | 10.960333 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 77 | 4.2424 | 1 | 0.001483 | 11.062480 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 78 | 4.2975 | 1 | 0.001502 | 10.999189 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 79 | 4.3526 | 1 | 0.001504 | 10.989805 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 80 | 4.4077 | 1 | 0.001499 | 10.986292 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 81 | 4.4628 | 1 | 0.001471 | 11.064248 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 82 | 4.5179 | 1 | 0.001478 | 11.030763 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 83 | 4.5730 | 1 | 0.001423 | 11.418318 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 84 | 4.6281 | 1 | 0.001513 | 10.934981 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 85 | 4.6832 | 1 | 0.001477 | 10.947891 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 86 | 4.7383 | 1 | 0.001449 | 11.337449 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 87 | 4.7934 | 1 | 0.001446 | 11.356113 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 88 | 4.8485 | 1 | 0.001493 | 11.006986 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 89 | 4.9036 | 1 | 0.001508 | 10.995290 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 90 | 4.9587 | 1 | 0.001519 | 10.961908 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 91 | 5.0138 | 1 | 0.001511 | 11.004637 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 92 | 5.0689 | 1 | 0.001493 | 11.060139 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 93 | 5.1240 | 1 | 0.001475 | 11.108975 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 94 | 5.1791 | 1 | 0.001501 | 10.946505 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 95 | 5.2342 | 1 | 0.001504 | 10.936386 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 96 | 5.2893 | 1 | 0.001486 | 10.994701 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 97 | 5.3444 | 1 | 0.001483 | 11.023811 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 98 | 5.3994 | 1 | 0.001494 | 10.979126 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 99 | 5.4545 | 1 | 0.001481 | 11.163518 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 100 | 5.5096 | 1 | 0.001479 | 11.047313 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 101 | 5.5647 | 1 | 0.001473 | 11.060119 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 102 | 5.6198 | 1 | 0.001486 | 11.053105 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 103 | 5.6749 | 1 | 0.001486 | 11.092742 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 104 | 5.7300 | 1 | 0.001477 | 11.137425 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 105 | 5.7851 | 1 | 0.001491 | 11.010371 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 106 | 5.8402 | 1 | 0.001496 | 10.990369 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 107 | 5.8953 | 1 | 0.001473 | 11.243003 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 108 | 5.9504 | 1 | 0.001388 | 11.929604 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 109 | 6.0055 | 1 | 0.001458 | 11.222341 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 110 | 6.0606 | 1 | 0.001499 | 11.021925 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 111 | 6.1157 | 1 | 0.001489 | 10.988726 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 112 | 6.1708 | 1 | 0.001464 | 11.127002 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 113 | 6.2259 | 1 | 0.001490 | 10.982098 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 114 | 6.2810 | 1 | 0.001490 | 11.058744 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 115 | 6.3361 | 1 | 0.001501 | 11.036917 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 116 | 6.3912 | 1 | 0.001487 | 11.093127 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 117 | 6.4463 | 1 | 0.001511 | 10.986041 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 118 | 6.5014 | 1 | 0.001473 | 11.067499 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 119 | 6.5565 | 1 | 0.001495 | 10.978576 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 120 | 6.6116 | 1 | 0.001497 | 11.027401 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 121 | 6.6667 | 1 | 0.001487 | 11.056618 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 122 | 6.7218 | 1 | 0.001492 | 10.946566 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 123 | 6.7769 | 1 | 0.001492 | 10.977270 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 124 | 6.8320 | 1 | 0.001466 | 11.212596 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 125 | 6.8871 | 1 | 0.001493 | 10.996106 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 126 | 6.9421 | 1 | 0.001480 | 11.018607 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 127 | 6.9972 | 1 | 0.001509 | 10.976320 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 128 | 7.0523 | 1 | 0.001329 | 12.417034 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 129 | 7.1074 | 1 | 0.001510 | 10.938081 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 130 | 7.1625 | 1 | 0.001496 | 10.964072 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 131 | 7.2176 | 1 | 0.001497 | 11.006588 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 132 | 7.2727 | 1 | 0.001493 | 11.018465 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 133 | 7.3278 | 1 | 0.001493 | 11.030553 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 134 | 7.3829 | 1 | 0.001490 | 11.034491 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 135 | 7.4380 | 1 | 0.001493 | 10.942718 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 136 | 7.4931 | 1 | 0.001485 | 11.063141 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 137 | 7.5482 | 1 | 0.001490 | 10.940797 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 138 | 7.6033 | 1 | 0.001496 | 11.094267 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 139 | 7.6584 | 1 | 0.001476 | 11.092305 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 140 | 7.7135 | 1 | 0.001489 | 10.999871 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 141 | 7.7686 | 1 | 0.001486 | 10.969563 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 142 | 7.8237 | 1 | 0.001485 | 11.045270 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 143 | 7.8788 | 1 | 0.001493 | 10.999192 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 144 | 7.9339 | 1 | 0.001498 | 11.051950 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 145 | 7.9890 | 1 | 0.001489 | 11.134410 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 146 | 8.0441 | 1 | 0.001474 | 11.101941 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 147 | 8.0992 | 1 | 0.001480 | 11.063681 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 148 | 8.1543 | 1 | 0.001486 | 10.946801 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 149 | 8.2094 | 1 | 0.001484 | 11.076774 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 150 | 8.2645 | 1 | 0.001480 | 11.143664 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 151 | 8.3196 | 1 | 0.001509 | 10.947056 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 152 | 8.3747 | 1 | 0.001447 | 11.226169 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 153 | 8.4298 | 1 | 0.001479 | 11.063754 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 154 | 8.4848 | 1 | 0.001484 | 10.961506 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 155 | 8.5399 | 1 | 0.001497 | 11.050401 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 156 | 8.5950 | 1 | 0.001503 | 11.018204 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 157 | 8.6501 | 1 | 0.001472 | 11.145519 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 158 | 8.7052 | 1 | 0.001486 | 11.037257 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 159 | 8.7603 | 1 | 0.001492 | 11.036405 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 160 | 8.8154 | 1 | 0.001480 | 11.015381 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 161 | 8.8705 | 1 | 0.001498 | 10.979052 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 162 | 8.9256 | 1 | 0.001496 | 11.051611 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 163 | 8.9807 | 1 | 0.001486 | 11.052557 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 164 | 9.0358 | 1 | 0.001491 | 11.034617 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 165 | 9.0909 | 1 | 0.001488 | 11.049273 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 166 | 9.1460 | 1 | 0.001491 | 11.085268 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 167 | 9.2011 | 1 | 0.001503 | 10.958939 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 168 | 9.2562 | 1 | 0.001497 | 11.062020 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 169 | 9.3113 | 1 | 0.001518 | 10.996845 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 170 | 9.3664 | 1 | 0.001470 | 11.209611 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 171 | 9.4215 | 1 | 0.001477 | 11.023668 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 172 | 9.4766 | 1 | 0.001481 | 11.090508 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 173 | 9.5317 | 1 | 0.001512 | 10.958598 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 174 | 9.5868 | 1 | 0.001472 | 11.093911 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 175 | 9.6419 | 1 | 0.001495 | 11.022321 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 176 | 9.6970 | 1 | 0.001497 | 10.963686 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 177 | 9.7521 | 1 | 0.001495 | 11.014677 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 178 | 9.8072 | 1 | 0.001494 | 10.971079 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 179 | 9.8623 | 1 | 0.001478 | 11.075295 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 180 | 9.9174 | 1 | 0.001492 | 10.967837 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 181 | 9.9725 | 1 | 0.001502 | 11.002055 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 182 |10.0275 | 1 | 0.001478 | 11.256881 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 183 |10.0826 | 1 | 0.001503 | 10.965836 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 184 |10.1377 | 1 | 0.001492 | 11.003513 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 185 |10.1928 | 1 | 0.001499 | 11.033890 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 186 |10.2479 | 1 | 0.001477 | 11.086396 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 187 |10.3030 | 1 | 0.001494 | 11.022237 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 188 |10.3581 | 1 | 0.001488 | 11.065405 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 189 |10.4132 | 1 | 0.001479 | 11.172747 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 190 |10.4683 | 1 | 0.001488 | 11.135500 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 191 |10.5234 | 1 | 0.001485 | 10.995766 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 192 |10.5785 | 1 | 0.001494 | 10.953639 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 193 |10.6336 | 1 | 0.001492 | 11.006385 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 194 |10.6887 | 1 | 0.001384 | 11.898180 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 195 |10.7438 | 1 | 0.001505 | 10.971906 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 196 |10.7989 | 1 | 0.001506 | 10.982670 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 197 |10.8540 | 1 | 0.001324 | 12.325860 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 198 |10.9091 | 1 | 0.001502 | 11.026861 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 199 |10.9642 | 1 | 0.001505 | 10.987199 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 200 |11.0193 | 1 | 0.001488 | 11.061289 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 201 |11.0744 | 1 | 0.001489 | 11.049199 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 202 |11.1295 | 1 | 0.001501 | 10.973437 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 203 |11.1846 | 1 | 0.001500 | 10.937448 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 204 |11.2397 | 1 | 0.001499 | 10.940185 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 205 |11.2948 | 1 | 0.001506 | 10.956871 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 206 |11.3499 | 1 | 0.001496 | 10.959225 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 207 |11.4050 | 1 | 0.001380 | 11.911324 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 208 |11.4601 | 1 | 0.001505 | 10.983367 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 209 |11.5152 | 1 | 0.001483 | 11.116040 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 210 |11.5702 | 1 | 0.001499 | 10.946843 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 211 |11.6253 | 1 | 0.001495 | 11.007702 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 212 |11.6804 | 1 | 0.001484 | 11.036537 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 213 |11.7355 | 1 | 0.001501 | 10.962850 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 214 |11.7906 | 1 | 0.001458 | 11.231765 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 215 |11.8457 | 1 | 0.001500 | 10.974388 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 216 |11.9008 | 1 | 0.001502 | 10.971881 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 217 |11.9559 | 1 | 0.001484 | 11.094227 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 218 |12.0110 | 1 | 0.001465 | 11.285769 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 219 |12.0661 | 1 | 0.001472 | 11.138884 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 220 |12.1212 | 1 | 0.001462 | 11.085258 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 221 |12.1763 | 1 | 0.001506 | 10.962956 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 222 |12.2314 | 1 | 0.001481 | 11.063845 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 223 |12.2865 | 1 | 0.001490 | 10.940562 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 224 |12.3416 | 1 | 0.001487 | 11.074080 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 225 |12.3967 | 1 | 0.001500 | 10.966088 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 226 |12.4518 | 1 | 0.001503 | 10.940730 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 227 |12.5069 | 1 | 0.001500 | 10.983767 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 228 |12.5620 | 1 | 0.001495 | 11.087621 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 229 |12.6171 | 1 | 0.001491 | 11.030768 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 230 |12.6722 | 1 | 0.001501 | 10.986019 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 231 |12.7273 | 1 | 0.001471 | 11.210606 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 232 |12.7824 | 1 | 0.001496 | 10.989540 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 233 |12.8375 | 1 | 0.001479 | 10.991125 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 234 |12.8926 | 1 | 0.001484 | 10.997315 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 235 |12.9477 | 1 | 0.001495 | 10.981242 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 236 |13.0028 | 1 | 0.001494 | 11.034151 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 237 |13.0579 | 1 | 0.001521 | 11.393696 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 238 |13.1129 | 1 | 0.001483 | 11.187673 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 239 |13.1680 | 1 | 0.001476 | 11.165030 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 240 |13.2231 | 1 | 0.001461 | 11.121420 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 241 |13.2782 | 1 | 0.001497 | 11.077922 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 242 |13.3333 | 1 | 0.001472 | 11.274707 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 243 |13.3884 | 1 | 0.001477 | 11.087600 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 244 |13.4435 | 1 | 0.001469 | 11.061153 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 245 |13.4986 | 1 | 0.001449 | 11.292755 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 246 |13.5537 | 1 | 0.001495 | 11.001245 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 247 |13.6088 | 1 | 0.001493 | 11.024726 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 248 |13.6639 | 1 | 0.001480 | 10.968597 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 249 |13.7190 | 1 | 0.001478 | 11.008988 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 250 |13.7741 | 1 | 0.001464 | 11.120604 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 251 |13.8292 | 1 | 0.001494 | 10.976703 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 252 |13.8843 | 1 | 0.001464 | 11.173856 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 253 |13.9394 | 1 | 0.001478 | 11.182188 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 254 |13.9945 | 1 | 0.001474 | 11.138903 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 255 |14.0496 | 1 | 0.001498 | 10.998538 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 256 |14.1047 | 1 | 0.001490 | 10.959735 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 257 |14.1598 | 1 | 0.001497 | 11.015843 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 258 |14.2149 | 1 | 0.001442 | 11.296236 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 259 |14.2700 | 1 | 0.001470 | 11.035043 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 260 |14.3251 | 1 | 0.001499 | 11.025067 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 261 |14.3802 | 1 | 0.001483 | 11.032883 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 262 |14.4353 | 1 | 0.001450 | 11.225693 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 263 |14.4904 | 1 | 0.001490 | 11.049877 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 264 |14.5455 | 1 | 0.001500 | 10.961913 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 265 |14.6006 | 1 | 0.001468 | 11.227395 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 266 |14.6556 | 1 | 0.001500 | 10.950821 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 267 |14.7107 | 1 | 0.001496 | 11.034819 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 268 |14.7658 | 1 | 0.001478 | 11.039118 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 269 |14.8209 | 1 | 0.001480 | 11.054862 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 270 |14.8760 | 1 | 0.001499 | 10.966170 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 271 |14.9311 | 1 | 0.001492 | 11.013549 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 272 |14.9862 | 1 | 0.001487 | 11.063011 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 273 |15.0413 | 1 | 0.001494 | 11.025787 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 274 |15.0964 | 1 | 0.001492 | 11.056323 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 275 |15.1515 | 1 | 0.001502 | 11.017958 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 276 |15.2066 | 1 | 0.001498 | 10.993303 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 277 |15.2617 | 1 | 0.001492 | 11.045624 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 278 |15.3168 | 1 | 0.001488 | 11.001706 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 279 |15.3719 | 1 | 0.001501 | 11.019076 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 280 |15.4270 | 1 | 0.001482 | 10.980229 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 281 |15.4821 | 1 | 0.001500 | 10.990641 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 282 |15.5372 | 1 | 0.001482 | 11.039660 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 283 |15.5923 | 1 | 0.001506 | 10.960431 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 284 |15.6474 | 1 | 0.001483 | 11.035762 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 285 |15.7025 | 1 | 0.001483 | 10.972536 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 286 |15.7576 | 1 | 0.001497 | 11.078446 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 287 |15.8127 | 1 | 0.001494 | 11.003910 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 288 |15.8678 | 1 | 0.001524 | 10.954572 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 289 |15.9229 | 1 | 0.001468 | 11.170064 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 290 |15.9780 | 1 | 0.001466 | 11.078832 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 291 |16.0331 | 1 | 0.001500 | 10.965774 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 292 |16.0882 | 1 | 0.001492 | 10.988034 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 293 |16.1433 | 1 | 0.001498 | 11.034559 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 294 |16.1983 | 1 | 0.001485 | 10.967131 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 295 |16.2534 | 1 | 0.001480 | 11.102506 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 296 |16.3085 | 1 | 0.001504 | 10.998471 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 297 |16.3636 | 1 | 0.001499 | 10.959420 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 298 |16.4187 | 1 | 0.001483 | 11.099791 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 299 |16.4738 | 1 | 0.001493 | 10.974991 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 300 |16.5289 | 1 | 0.001487 | 10.989717 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 301 |16.5840 | 1 | 0.001484 | 11.069229 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 302 |16.6391 | 1 | 0.001503 | 10.985806 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 303 |16.6942 | 1 | 0.001496 | 11.041107 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 304 |16.7493 | 1 | 0.001487 | 10.991144 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 305 |16.8044 | 1 | 0.001492 | 11.005035 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 306 |16.8595 | 1 | 0.001488 | 11.087163 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 307 |16.9146 | 1 | 0.001491 | 11.002862 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 308 |16.9697 | 1 | 0.001519 | 11.018252 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 309 |17.0248 | 1 | 0.001489 | 11.030986 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 310 |17.0799 | 1 | 0.001509 | 11.001859 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 311 |17.1350 | 1 | 0.001492 | 11.019300 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 312 |17.1901 | 1 | 0.001488 | 11.036436 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 313 |17.2452 | 1 | 0.001493 | 11.046922 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 314 |17.3003 | 1 | 0.001485 | 10.976898 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 315 |17.3554 | 1 | 0.001497 | 10.941875 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 316 |17.4105 | 1 | 0.001497 | 11.056621 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 317 |17.4656 | 1 | 0.001471 | 11.117604 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 318 |17.5207 | 1 | 0.001469 | 11.168160 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 319 |17.5758 | 1 | 0.001476 | 11.020628 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 320 |17.6309 | 1 | 0.001490 | 11.020211 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 321 |17.6860 | 1 | 0.001488 | 11.010496 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 322 |17.7410 | 1 | 0.001475 | 11.125369 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 323 |17.7961 | 1 | 0.001494 | 10.955690 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 324 |17.8512 | 1 | 0.001493 | 11.078510 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 325 |17.9063 | 1 | 0.001362 | 12.022863 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 326 |17.9614 | 1 | 0.001489 | 11.021870 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 327 |18.0165 | 1 | 0.001463 | 11.139775 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 328 |18.0716 | 1 | 0.001475 | 11.015395 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 329 |18.1267 | 1 | 0.001475 | 10.995628 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 330 |18.1818 | 1 | 0.001490 | 11.037015 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 331 |18.2369 | 1 | 0.001489 | 10.994272 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 332 |18.2920 | 1 | 0.001485 | 11.023925 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 333 |18.3471 | 1 | 0.001465 | 11.131615 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 334 |18.4022 | 1 | 0.001481 | 10.996215 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 335 |18.4573 | 1 | 0.001493 | 11.042847 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 336 |18.5124 | 1 | 0.001493 | 11.153712 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 337 |18.5675 | 1 | 0.001497 | 10.981005 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 338 |18.6226 | 1 | 0.001490 | 10.993124 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 339 |18.6777 | 1 | 0.001498 | 10.970379 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 340 |18.7328 | 1 | 0.001492 | 10.992345 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 341 |18.7879 | 1 | 0.001492 | 10.998224 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 342 |18.8430 | 1 | 0.001523 | 10.982035 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 343 |18.8981 | 1 | 0.001485 | 11.054384 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 344 |18.9532 | 1 | 0.001486 | 11.027520 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 345 |19.0083 | 1 | 0.001482 | 11.016985 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 346 |19.0634 | 1 | 0.001484 | 11.169659 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 347 |19.1185 | 1 | 0.001476 | 11.164135 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 348 |19.1736 | 1 | 0.001499 | 10.963815 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 349 |19.2287 | 1 | 0.001481 | 11.041115 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 350 |19.2837 | 1 | 0.001478 | 11.025983 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 351 |19.3388 | 1 | 0.001504 | 10.984140 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 352 |19.3939 | 1 | 0.001478 | 11.033161 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 353 |19.4490 | 1 | 0.001490 | 11.040692 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 354 |19.5041 | 1 | 0.001479 | 11.018249 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 355 |19.5592 | 1 | 0.001471 | 10.995813 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 356 |19.6143 | 1 | 0.001478 | 11.009744 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 357 |19.6694 | 1 | 0.001489 | 11.012060 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 358 |19.7245 | 1 | 0.001487 | 11.043458 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 359 |19.7796 | 1 | 0.001492 | 10.996924 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 360 |19.8347 | 1 | 0.001486 | 10.997914 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 361 |19.8898 | 1 | 0.001462 | 11.193126 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 362 |19.9449 | 1 | 0.001476 | 11.131790 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 363 |20.0000 | 1 | 0.001456 | 11.255347 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 364 |20.0551 | 1 | 0.001443 | 11.262457 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 365 |20.1102 | 1 | 0.001442 | 11.282331 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 366 |20.1653 | 1 | 0.001460 | 11.133270 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 367 |20.2204 | 1 | 0.001461 | 11.137590 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 368 |20.2755 | 1 | 0.001458 | 11.279287 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 369 |20.3306 | 1 | 0.001473 | 11.155934 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 370 |20.3857 | 1 | 0.001480 | 11.140440 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 371 |20.4408 | 1 | 0.001464 | 11.196868 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 372 |20.4959 | 1 | 0.001473 | 11.196430 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 373 |20.5510 | 1 | 0.001467 | 11.166742 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 374 |20.6061 | 1 | 0.001488 | 11.095840 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 375 |20.6612 | 1 | 0.001456 | 11.119288 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 376 |20.7163 | 1 | 0.001514 | 10.997535 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 377 |20.7713 | 1 | 0.001500 | 10.973636 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 378 |20.8264 | 1 | 0.001485 | 11.041631 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 379 |20.8815 | 1 | 0.001474 | 11.054704 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 380 |20.9366 | 1 | 0.001505 | 10.956344 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 381 |20.9917 | 1 | 0.001485 | 11.037928 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 382 |21.0468 | 1 | 0.001494 | 11.004072 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 383 |21.1019 | 1 | 0.001460 | 11.191711 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 384 |21.1570 | 1 | 0.001464 | 11.213192 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 385 |21.2121 | 1 | 0.001297 | 12.715977 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 386 |21.2672 | 1 | 0.001473 | 11.214244 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 387 |21.3223 | 1 | 0.001488 | 11.175076 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 388 |21.3774 | 1 | 0.001477 | 11.140157 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 389 |21.4325 | 1 | 0.001476 | 11.217773 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 390 |21.4876 | 1 | 0.001487 | 11.070076 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 391 |21.5427 | 1 | 0.001476 | 11.079977 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 392 |21.5978 | 1 | 0.001497 | 10.963420 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 393 |21.6529 | 1 | 0.001492 | 10.965270 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 394 |21.7080 | 1 | 0.001499 | 11.031488 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 395 |21.7631 | 1 | 0.001379 | 11.928026 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 396 |21.8182 | 1 | 0.001474 | 11.124487 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 397 |21.8733 | 1 | 0.001482 | 11.037149 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 398 |21.9284 | 1 | 0.001491 | 11.062619 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 399 |21.9835 | 1 | 0.001483 | 11.227740 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 400 |22.0386 | 1 | 0.001460 | 11.253708 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 401 |22.0937 | 1 | 0.001474 | 11.210907 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 402 |22.1488 | 1 | 0.001483 | 11.119041 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 403 |22.2039 | 1 | 0.001490 | 11.014906 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 404 |22.2590 | 1 | 0.001499 | 10.956471 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 405 |22.3140 | 1 | 0.001468 | 11.109550 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 406 |22.3691 | 1 | 0.001490 | 10.982853 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 407 |22.4242 | 1 | 0.001478 | 11.193154 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 408 |22.4793 | 1 | 0.001498 | 11.031459 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 409 |22.5344 | 1 | 0.001508 | 10.978516 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 410 |22.5895 | 1 | 0.001481 | 11.028180 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 411 |22.6446 | 1 | 0.001492 | 11.037275 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 412 |22.6997 | 1 | 0.001483 | 10.967960 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 413 |22.7548 | 1 | 0.001493 | 10.990911 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 414 |22.8099 | 1 | 0.001484 | 11.067482 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 415 |22.8650 | 1 | 0.001486 | 10.987234 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 416 |22.9201 | 1 | 0.001453 | 11.105183 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 417 |22.9752 | 1 | 0.001484 | 11.019325 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 418 |23.0303 | 1 | 0.001489 | 11.033711 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 419 |23.0854 | 1 | 0.001486 | 10.961752 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 420 |23.1405 | 1 | 0.001488 | 11.020402 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 421 |23.1956 | 1 | 0.001485 | 10.985927 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 422 |23.2507 | 1 | 0.001484 | 11.122986 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 423 |23.3058 | 1 | 0.001488 | 11.010117 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 424 |23.3609 | 1 | 0.001494 | 11.027276 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 425 |23.4160 | 1 | 0.001498 | 11.002853 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 426 |23.4711 | 1 | 0.001504 | 10.948009 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 427 |23.5262 | 1 | 0.001537 | 10.965587 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 428 |23.5813 | 1 | 0.001480 | 11.023513 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 429 |23.6364 | 1 | 0.001495 | 11.016430 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 430 |23.6915 | 1 | 0.001498 | 10.990407 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 431 |23.7466 | 1 | 0.001482 | 11.029547 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 432 |23.8017 | 1 | 0.001489 | 11.028503 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 433 |23.8567 | 1 | 0.001494 | 10.994521 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 434 |23.9118 | 1 | 0.001497 | 11.033860 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 435 |23.9669 | 1 | 0.001472 | 11.085127 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 436 |24.0220 | 1 | 0.001519 | 10.940756 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 437 |24.0771 | 1 | 0.001477 | 11.058848 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 438 |24.1322 | 1 | 0.001479 | 11.067911 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 439 |24.1873 | 1 | 0.001488 | 11.029004 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 440 |24.2424 | 1 | 0.001497 | 10.977903 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 441 |24.2975 | 1 | 0.001486 | 11.038936 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 442 |24.3526 | 1 | 0.001492 | 11.042946 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 443 |24.4077 | 1 | 0.001492 | 10.970813 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 444 |24.4628 | 1 | 0.001486 | 11.023437 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 445 |24.5179 | 1 | 0.001504 | 10.981979 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 446 |24.5730 | 1 | 0.001487 | 10.943550 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 447 |24.6281 | 1 | 0.001504 | 10.990585 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 448 |24.6832 | 1 | 0.001488 | 11.020756 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 449 |24.7383 | 1 | 0.001502 | 11.020719 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"| 450 |24.7934 | 1 | 0.001490 | 10.944653 | 0.000000 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n",
"\u001b[34m...Finished\u001b[0m\n",
"\u001b[36mFINISHED - Elapsed time = 5192.1956986 seconds\u001b[0m\n",
"\u001b[36mFINISHED - CPU process time = 38238.0321676 seconds\u001b[0m\n"
]
}
],
"source": [
"sharpy_output = sharpy.sharpy_main.main(['', SimInfo.solvers['SHARPy']['route'] + SimInfo.solvers['SHARPy']['case'] + '.sharpy'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Postprocessing"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This reads the structural and aerodynamic information of the last time step."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"tstep = sharpy_output.structure.timestep_info[-1]\n",
"astep = sharpy_output.aero.timestep_info[-1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we separate the structure into blades:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"# Define beams\n",
"ielem = 0\n",
"nblades = np.max(sharpy_output.structure.beam_number) + 1\n",
"nodes_blade = []\n",
"first_node = 0\n",
"for iblade in range(nblades):\n",
" nodes_blade.append(np.zeros((sharpy_output.structure.num_node,), dtype=bool))\n",
" while sharpy_output.structure.beam_number[ielem] <= iblade:\n",
" ielem += 1\n",
" if ielem == sharpy_output.structure.num_elem:\n",
" break\n",
" nodes_blade[iblade][first_node:sharpy_output.structure.connectivities[ielem-1,1]+1] = True\n",
" first_node = sharpy_output.structure.connectivities[ielem-1,1]+1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Compute the radial position of the nodes and initialise the rest of the variables."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"r = []\n",
"c = []\n",
"dr = []\n",
"forces = []\n",
"CN_drR = []\n",
"CTan_drR = []\n",
"CP_drR = []\n",
"nodes_num = []\n",
"for iblade in range(nblades):\n",
" forces.append(tstep.steady_applied_forces[nodes_blade[iblade]].copy())\n",
"\n",
" nodes_num.append(np.arange(0, sharpy_output.structure.num_node, 1)[nodes_blade[iblade]])\n",
"\n",
" r.append(np.linalg.norm(tstep.pos[nodes_blade[iblade], :], axis=1))\n",
" dr.append(np.zeros(np.sum(nodes_blade[iblade])))\n",
" dr[iblade][0] = 0.5*(r[iblade][1]-r[iblade][0])\n",
" dr[iblade][-1] = 0.5 * (r[iblade][-1] - r[iblade][-2])\n",
" for inode in range(1,len(r[iblade]) - 1):\n",
" dr[iblade][inode] = 0.5*(r[iblade][inode+1] - r[iblade][inode-1])\n",
"\n",
" CN_drR.append(np.zeros(len(r[iblade])))\n",
" c.append(np.zeros(len(r[iblade])))\n",
" CTan_drR.append(np.zeros(len(r[iblade])))\n",
" CP_drR.append(np.zeros(len(r[iblade])))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Transform the loads computed by SHARPy into out-of-plane and in-plane components:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"rho = sharpy_output.settings['StaticCoupled']['aero_solver_settings']['rho']\n",
"uinf = sharpy_output.settings['StaticCoupled']['aero_solver_settings']['velocity_field_input']['u_inf']\n",
"R = np.max(r[0])\n",
"Cp = 0\n",
"Ct = 0\n",
"\n",
"global_force_factor = 0.5 * rho * uinf** 2 * np.pi * R**2\n",
"global_power_factor = global_force_factor*uinf\n",
"for iblade in range(nblades):\n",
" for inode in range(len(r[iblade])):\n",
" forces[iblade][inode, 0] *= 0. # Discard the spanwise component\n",
"\n",
" node_global_index = nodes_num[iblade][inode]\n",
" ielem = sharpy_output.structure.node_master_elem[node_global_index, 0]\n",
" inode_in_elem = sharpy_output.structure.node_master_elem[node_global_index, 1]\n",
" CAB = algebra.crv2rotation(tstep.psi[ielem, inode_in_elem, :])\n",
"\n",
" c[iblade][inode] = sharpy_output.aero.data_dict['chord'][ielem,inode_in_elem]\n",
"\n",
" forces_AFoR = np.dot(CAB, forces[iblade][inode, 0:3])\n",
"\n",
" CN_drR[iblade][inode] = forces_AFoR[2]/dr[iblade][inode]*R / global_force_factor\n",
" CTan_drR[iblade][inode] = np.linalg.norm(forces_AFoR[0:2])/dr[iblade][inode]*R / global_force_factor\n",
" CP_drR[iblade][inode] = np.linalg.norm(forces_AFoR[0:2])/dr[iblade][inode]*R * r[iblade][inode]*rotation_velocity / global_power_factor\n",
"\n",
" Cp += np.sum(CP_drR[iblade]*dr[iblade]/R)\n",
" Ct += np.sum(CN_drR[iblade]*dr[iblade]/R)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Results"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot of the loads along the blade:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, list_plots = plt.subplots(1, 2, figsize=(12, 3))\n",
"\n",
"list_plots[0].grid()\n",
"list_plots[0].set_xlabel(\"r/R [-]\")\n",
"list_plots[0].set_ylabel(\"CN/d(r/R) [-]\")\n",
"list_plots[0].plot(r[0]/R, CN_drR[0], '-', label='SHARPy')\n",
"list_plots[0].plot(of_rR, of_cNdrR, '-', label='OpenFAST')\n",
"list_plots[0].legend()\n",
"\n",
"list_plots[1].grid()\n",
"list_plots[1].set_xlabel(\"r/R [-]\")\n",
"list_plots[1].set_ylabel(\"CT/d(r/R) [-]\")\n",
"list_plots[1].plot(r[0]/R, CTan_drR[0], '-', label='SHARPy')\n",
"list_plots[1].plot(of_rR, of_cTdrR, '-', label='OpenFAST')\n",
"list_plots[1].legend()\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Print the rotor thrust and power coefficients:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OpenFAST SHARPy\n",
"Cp[-] 0.49 0.52\n",
"Ct[-] 0.70 0.70\n"
]
}
],
"source": [
"print(\" OpenFAST SHARPy\")\n",
"print(\"Cp[-] %.2f %.2f\" % (of_cp, Cp))\n",
"print(\"Ct[-] %.2f %.2f\" % (of_ct, Ct))"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.9"
}
},
"nbformat": 4,
"nbformat_minor": 4
}