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BPM Turbine Acoustics

Turbine acoustic code using the BPM equations developed by Brooks, Pope, and Marcolini

Developed by Eric Tingey at Brigham Young University, 2015-2017

This code models the acoustic propagation of a wind turbine based on turbulent boundary layer edge noise, separation stall noise, tip vortex formation noise, laminar boundary layer vortex shedding noise, and trailing edge bluntness vortex shedding noise. Turbulent inflow noise is not assumed in this current code. The semi-empirical equations were developed from the NACA 0012 airfoil data and the blade segments used in the test file are based on the NREL 5-MW wind turbine. Scaling of the segments is based on the blade length specified.

Brooks, T., Pope, D., and Marcolini, M., “Aipower Self-Noise and Prediction,” NASA, 1989.

Brooks, T., and Marcolini, M., "Airfoil Tip Vortex Formation Noise," AIAA Journal, 1986.

Vargas, L., "Wind Turbine Noise Prediction," Master's Thesis, Technical University of Lisbon, 2008.

Installation instructions

  • system requirements: gfortran (using MinGW for Windows in order to use the commands here), python 2.7, numpy, scipy, matplotlib
  • run:
python setup.py install
  • or navigate to the directory and run the following command in the terminal to build the Fortran code:

Mac

$ cd wake_model
$ f2py -c  --opt=-O2 -m _bpmacoustic BPM_Acoustic_Model.f90
$ f2py -c  --opt=-O2 -m _bpmvawtacoustic BPM_VAWT_Acoustic_Model.f90

Windows

cd wake_model
python <\your\path\to\f2py.py> -c --opt=-O2 --compiler=mingw32 --fcompiler=gfortran -m _bpmacoustic BPM_Acoustic_Model.f90
python <\your\path\to\f2py.py> -c --opt=-O2 --compiler=mingw32 --fcompiler=gfortran -m _bpmvawtacoustic BPM_VAWT_Acoustic_Model.f90

(<\your\path\to\f2py.py>: most likely C:\Python27\Scripts\f2py.py)

Running the Python code

This python code can be run from another file using:

SPL_HAWT = _bpmacoustic.turbinepos(turbx, turby, obs, winddir, windvel, rpm, B, h, rad,\
c, c1, alpha, nu, c0, psi, AR, noise_corr)
"""
Calculating the sound pressure level for a HAWT

Parameters
----------
turbx : array
    x-positions of all the turbines heard by an observer (east to west, meter)
turby : array
    y-positions of all the turbines heard by an observer (north to south, meter)
obs : array
    x-, y-, and z-position of a specified observer (E-W, N-S, height; meter)
winddir : float
    direction the wind blows from (180=N, 270=E, 0=S, 90=W; degree)
windvel : array
    wind velocity at each turbine in the specified wind direction (m/s)
rpm : array
    rotation rate of each turbine (RPM)
B : float
    number of blades on a turbine
h : float
    height of a turbine (meter)
rad : array
    radial positions of the blade geometry (meter)
c : array
    chord length at each radial segment (meter)
c1 : array
    distance from the pitch axis to leading edge at each radial segment (meter)
alpha : array
    angle of attack of each radial segment (degree)
nu : float
    kinematic viscosity of the air (m^2/s)
c0 : float
    speed of sound of the air (m/s)
psi : float
    solid angle of turbine blades between upper and lower sides of trailing edge (degree)
AR : float
    aspect ratio of turbine blades
noise_corr : float
    correction factor for SPL calculations (1=none, use if calculations differ from expected)

Returns
----------
SPL_HAWT : float
    sound pressure level calculated at observer location (dB)
"""

SPL_VAWT = _bpmvawtacoustic.turbinepos(ntheta, turbx, turby, obs, winddir, B, Hub,\
high, rad, c, c1, alpha, nu, c0, psi, AR, noise_corr, rot, Vinf, wakex, wakey)
"""
Calculating the sound pressure level for a VAWT

Parameters
----------
ntheta : int
    number of points along blade flight path to calculate velocities
turbx : array
    x-positions of all the turbines heard by an observer (east to west, meter)
turby : array
    y-positions of all the turbines heard by an observer (north to south, meter)
obs : array
    x-, y-, and z-position of a specified observer (E-W, N-S, height; meter)
winddir : float
    direction the wind blows from (180=N, 270=E, 0=S, 90=W; degree)
B : float
    number of blades on a turbine
Hub : float
    hub height of a turbine (meter)
high : array
    height positions along the turbine blade (meter)
rad : float
    turbine radius (meter)
c : array
    chord length at each radial segment (meter)
c1 : array
    distance from the pitch axis to leading edge at each radial segment (meter)
alpha : array
    angle of attack of each radial segment (degree)
nu : float
    kinematic viscosity of the air (m^2/s)
c0 : float
    speed of sound of the air (m/s)
psi : float
    solid angle of turbine blades between upper and lower sides of trailing edge (degree)
AR : float
    aspect ratio of turbine blades
noise_corr : float
    correction factor for SPL calculations (1=none, use if calculations differ from expected)
rot : array
    rotation rate of each turbine (rad/s)
Vinf : float
    free stream wind speed (m/s)
wakex : array
    the wake influenced x-velcoity of the turbine at each point along the blade flight path (m/s)
wakey : array
    the wake influenced y-velcoity of the turbine at each point along the blade flight path (m/s)

Returns
----------
SPL_VAWT : float
    sound pressure level calculated at observer location (dB)
"""

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Turbine acoustic model using the BPM equations developed by Brooks, Pope, and Marcolini

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