AIDASimulation/SimulationModels/OpenModelica 1.25/AIDAModelica/WindProfile.mo

within AIDAModelica;

model WindProfile
  parameter Real rho = 1.225
    "Air density [kg/m3].";
  parameter Real Cd = 1.0
    "Equivalent drag coefficient.";
  parameter Real A = 0.05
    "Equivalent lateral reference area [m2].";
  parameter Real eps = 1e-6
    "Regularization term for wind magnitude.";

  parameter Real Wmean = 8
    "Mean wind speed [m/s].";
  parameter Real windDir = 0
    "Mean wind direction [rad].";

  parameter Real WgustAmpX = 3
    "Amplitude of smooth gust component along X [m/s].";
  parameter Real WgustAmpY = 3
    "Amplitude of smooth gust component along Y [m/s].";
  parameter Real fg1 = 0.03
    "Low gust modulation frequency 1 [Hz].";
  parameter Real fg2 = 0.11
    "Low gust modulation frequency 2 [Hz].";
  parameter Real fg3 = 0.04
    "Low gust modulation frequency 3 [Hz].";
  parameter Real fg4 = 0.09
    "Low gust modulation frequency 4 [Hz].";

  parameter Real At1 = 0.6
    "Turbulence amplitude X1 [m/s].";
  parameter Real At2 = 0.25
    "Turbulence amplitude X2 [m/s].";
  parameter Real Bt1 = 0.6
    "Turbulence amplitude Y1 [m/s].";
  parameter Real Bt2 = 0.25
    "Turbulence amplitude Y2 [m/s].";

  parameter Real f1 = 0.15
    "Turbulence frequency X1 [Hz].";
  parameter Real f2 = 0.7
    "Turbulence frequency X2 [Hz].";
  parameter Real f3 = 0.21
    "Turbulence frequency Y1 [Hz].";
  parameter Real f4 = 0.9
    "Turbulence frequency Y2 [Hz].";

  parameter Real phi1 = 0
    "Phase X1 [rad].";
  parameter Real phi2 = 0.8
    "Phase X2 [rad].";
  parameter Real phi3 = 1.3
    "Phase Y1 [rad].";
  parameter Real phi4 = 2.1
    "Phase Y2 [rad].";

  Modelica.Blocks.Interfaces.RealOutput Fx "Aerodynamic X wind force in ground frame [N]" annotation(
      Placement(transformation(origin = {10, -10}, extent = {{-90, 50}, {-110, 70}}, rotation = 90), iconTransformation(origin = {2, -10}, extent = {{-90, 50}, {-110, 70}}, rotation = 90)));
  Modelica.Blocks.Interfaces.RealOutput Fy "Aerodynamic Y wind force in ground frame [N]" annotation(
      Placement(transformation(origin = {98, -10}, extent = {{-90, 20}, {-110, 40}}, rotation = 90), iconTransformation(origin = {96, -10}, extent = {{-90, 20}, {-110, 40}}, rotation = 90)));
  
  Modelica.Blocks.Interfaces.RealOutput windVelX
    "Wind velocity component in X direction [m/s]";
  Modelica.Blocks.Interfaces.RealOutput windVelY
    "Wind velocity component in Y direction [m/s]";

protected
  Real wx_mean;
  Real wy_mean;
  Real wx_turb;
  Real wy_turb;
  Real wx_gust;
  Real wy_gust;
  Real wx;
  Real wy;
  Real windSpeed;

equation

  
  wx_mean = Wmean * cos(windDir);
  wy_mean = Wmean * sin(windDir);

  wx_turb =
       At1 * sin(2 * Modelica.Constants.pi * f1 * time + phi1)
     + At2 * sin(2 * Modelica.Constants.pi * f2 * time + phi2);

  wy_turb =
       Bt1 * sin(2 * Modelica.Constants.pi * f3 * time + phi3)
     + Bt2 * sin(2 * Modelica.Constants.pi * f4 * time + phi4);

  wx_gust =
       WgustAmpX
     * sin(2 * Modelica.Constants.pi * fg1 * time)
     * sin(2 * Modelica.Constants.pi * fg2 * time);

  wy_gust =
       WgustAmpY
     * sin(2 * Modelica.Constants.pi * fg3 * time)
     * sin(2 * Modelica.Constants.pi * fg4 * time);

  wx = wx_mean + wx_turb + wx_gust;
  wy = wy_mean + wy_turb + wy_gust;

  windVelX = wx;
  windVelY = wy;

  windSpeed = sqrt(wx * wx + wy * wy + eps);

  Fx = 0.5 * rho * Cd * A * windSpeed * wx;
  Fy = 0.5 * rho * Cd * A * windSpeed * wy;
  
annotation(
    Diagram,
    Icon(graphics = {Rectangle(extent = {{-100, 100}, {100, -100}})}));
end WindProfile;