public void Model(ILArray <double> x, ILArray <double> u, ILMatFile wt, ILMatFile env, double DT, out double Omega, out double Ct, out double Cp)
{
// Parameters
var R = (double)wt.GetArray <double>("wt_rotor_radius");
var I = (double)wt.GetArray <double>("wt_rotor_inertia");
var Rho = (double)env.GetArray <double>("env_rho");
// Definitons etc.
Omega = x.GetValue(0);
var Ve = x.GetValue(1);
var Beta = u.GetValue(0);
var Tg = u.GetValue(1);
// Algorithm
var Lambda = Omega * R / Ve;
_eInterpolCp.Interpolate(Beta, Lambda, wt.GetArray <double>("wt_cp_table"), wt.GetArray <double>("wt_cp_beta"), wt.GetArray <double>("wt_cp_tsr"), out Cp);
_eInterpolCt.Interpolate(Beta, Lambda, wt.GetArray <double>("wt_ct_table"), wt.GetArray <double>("wt_ct_beta"), wt.GetArray <double>("wt_ct_tsr"), out Ct);
var Tr = 0.5 * Rho * ILMath.pi * Math.Pow(R, 2) * Math.Pow(Ve, 3) * Cp / Omega;
Omega = Omega + DT * (Tr - Tg) / I; //Integration method: Forward Euler
}
private static void load(string windMatFilePath, out ILArray <double> wind)
{
using (var WindMatFile = new ILMatFile(windMatFilePath))
{
wind = WindMatFile.GetArray <double>("wind");
}
}
//private void wakeCalculation(ILArray<double> Ct, int i, ILCell wind, out ILArray<double> v_nac)
public static void Calculate(ILArray <double> Ct, int i, ILMatFile wind, out ILArray <double> v_nac)
{
//% v_nac = WAKECALCULATION(Ct,i,wind)
//This function calculates the wake
//Currently it is a very very simplified wake calculation. It just serves as
//a placeholder for a correct wake calculation that will come later
ILArray <double> scaling = ILMath.linspace(0.5, 0.9, Ct.Length);
v_nac = scaling * wind.GetArray <double>("wind").GetValue(i - 1, 1);
}
public EnvMatFileDataStructure(ILMatFile ILMatFile)
{
this.rho = (double)(ILMatFile.GetArray <double>("env_rho"));
}
public WtMatFileDataStructure(ILMatFile ilMatFile)
{
this.cp.table = ilMatFile.GetArray <double>("wt_cp_table");
this.cp.beta = ilMatFile.GetArray <double>("wt_cp_beta");
this.cp.tsr = ilMatFile.GetArray <double>("wt_cp_tsr");
this.ct.table = ilMatFile.GetArray <double>("wt_ct_table");
this.ct.beta = ilMatFile.GetArray <double>("wt_ct_beta");
this.ct.tsr = ilMatFile.GetArray <double>("wt_ct_tsr");
this.gen.effeciency = (double)(ilMatFile.GetArray <double>("wt_gen_effeciency"));
this.rotor.radius = (double)(ilMatFile.GetArray <double>("wt_rotor_radius"));
this.rotor.inertia = (double)(ilMatFile.GetArray <double>("wt_rotor_inertia"));
this.rotor.ratedspeed = (double)(ilMatFile.GetArray <double>("wt_rotor_ratedspeed"));
this.ctrl.pitch.Pgain = (double)(ilMatFile.GetArray <double>("wt_ctrl_pitch_Pgain"));
this.ctrl.pitch.Igain = (double)(ilMatFile.GetArray <double>("wt_ctrl_pitch_Igain"));
this.ctrl.pitch.ratelim = (double)(ilMatFile.GetArray <double>("wt_ctrl_pitch_ratelim"));
this.ctrl.pitch.ulim = (double)(ilMatFile.GetArray <double>("wt_ctrl_pitch_ulim"));
this.ctrl.pitch.llim = (double)(ilMatFile.GetArray <double>("wt_ctrl_pitch_llim"));
this.ctrl.torq.ratelim = (double)(ilMatFile.GetArray <double>("wt_ctrl_torq_ratelim"));
this.ctrl.p_rated = (double)(ilMatFile.GetArray <double>("wt_ctrl_p_rated"));
}
//% The main file for running the wind farm controll and wake simulation.
// It is not completely done yet. Further updates will come
// Currently there are only 4 turbines, for test purposes. But is should be
// easily updated to a larger number of turbines.
// Similarly there is a lot of room for speed optimizations, even though it
// now runs slowly with only 4 turbines
// 19/07-13 MS
public static double[][] Simulation(WakeFarmControlConfig config)
{
var parm = new WindTurbineParameters();
ILMatFile env;
ILMatFile wt;
ILArray <int> idx;
ILArray <double> ee;
double Ki;
double Kp;
int PC_MaxPit;
int PC_MinPit;
double VS_CtInSp;
double VS_RtGnSp;
double VS_Rgn2K;
double omega0;
double beta0;
double power0;
ILArray <double> x;
ILArray <double> u0;
ILArray <double> u;
ILArray <double> Mg_old;
ILArray <double> P_ref;
ILArray <double> Pa;
ILArray <double> Power;
ILArray <double> Ct;
ILArray <double> P_ref_new;
ILArray <double> v_nac;
double alpha;
double Mg_max_rate;
ILArray <double> e;
ILArray <double> Mg;
ILArray <double> beta;
ILArray <double> Cp;
ILArray <double> Omega;
ILArray <double> out_;
if (config.NTurbines == 0)
{
return(null);
}
// Wind farm properties
//turbine properties
env = wt = new ILMatFile(config.NREL5MW_MatFile); //Load parameters from the NREL 5MW turbine
parm.N = config.NTurbines; // number of turbines in farm
parm.rho = (double)env.GetArray <double>("env_rho"); //air density
parm.radius = ((double)(wt.GetArray <double>("wt_rotor_radius"))) * ILMath.ones(1, config.NTurbines); // rotor radius (NREL5MW)
parm.rated = 5e6 * ILMath.ones(1, config.NTurbines); //rated power (NREL5MW)
parm.ratedSpeed = (double)wt.GetArray <double>("wt_rotor_ratedspeed"); //rated rotor speed
idx = ILMath.empty <int>();
ILMath.max(wt.GetArray <double>("wt_cp_table")[ILMath.full], idx); //Find index for max Cp;
parm.Cp = ILMath.ones(1, config.NTurbines) * wt.GetArray <double>("wt_cp_table").GetValue(idx.ToArray()); //Set power coefficent to maximum value in the cp table
parm.Ct = ILMath.ones(1, config.NTurbines) * wt.GetArray <double>("wt_ct_table").GetValue(idx.ToArray()); //Set power coefficent to maximum value in the ct table
// NOTE: controller parameters should be imported from the wt....struct in
//Pitch control
ee = 0; //blade pitch integrator
Ki = 0.008068634 * 360 / 2 / ILMath.pi; // integral gain (NREL5MW)
Kp = 0.01882681 * 360 / 2 / ILMath.pi; // proportional gain (NREL5MW)
PC_MaxPit = 90;
PC_MinPit = 0;
//region control NREL
VS_CtInSp = 70.16224;
VS_RtGnSp = 121.6805;
VS_Rgn2K = 2.332287;
// load initial wind data
var wind = new ILMatFile(config.Wind_MatFile);
//% Set initial conditions
omega0 = 1.267; //Rotation speed
beta0 = 0; //Pitch
var timeLine = (int)config.TimeLine();
power0 = parm.rated.GetValue(0); //Power production
x = (omega0 * ILMath.ones(parm.N, 1)).Concat((wind.GetArray <double>("wind").GetValue(0, 1) * ILMath.ones(parm.N, 1)), 1);
u0 = (beta0 * ILMath.ones(parm.N, 1)).Concat((power0 * ILMath.ones(parm.N, 1)), 1);
u = u0.C;
Mg_old = u[ILMath.full, 1];
P_ref = ILMath.zeros(parm.N, (int)config.TimeLine()); //Initialize matrix to save the power production history for each turbine
Pa = P_ref.C; //Initialize available power matrix
Power = P_ref.C;
Ct = parm.Ct.C; //Initialize Ct - is this correct?
Ct[timeLine - 1, ILMath.full] = Ct[0, ILMath.full];
P_ref_new = power0 * ILMath.ones(config.NTurbines, 1);
v_nac = ILMath.zeros(Ct.Size[1], timeLine);
Mg = ILMath.zeros(u.Size[0], timeLine);
beta = ILMath.zeros(u.Size[0], timeLine);
Omega = ILMath.zeros(Ct.Size[1], timeLine);
Cp = ILMath.zeros(timeLine, parm.Cp.Size[1]);
var turbineModel = new TurbineDrivetrainModel();
//% Simulate wind farm operation
//var timeLine = (int) config.TimeLine();
for (var i = 2; i <= timeLine; i++) //At each sample time(DT) from Tstart to Tend
{
//Calculate the wake using the current Ct values
{
ILArray <double> out_v_nac;
WakeCalculation.Calculate((Ct[i - 1 - 1, ILMath.full]), i, wind, out out_v_nac);
v_nac[ILMath.full, i - 1] = out_v_nac;
}
x[ILMath.full, 1] = v_nac[ILMath.full, i - 1];
//Farm control
//Calculate the power distribution references for each turbine
if (config.EnablePowerDistribution)
{
ILArray <double> out_Pa;
PowerDistributionControl.DistributePower(v_nac[ILMath.full, i - 1], config.Pdemand, Power[ILMath.full, i - 1 - 1], parm, out P_ref_new, out out_Pa);
Pa[ILMath.full, i - 1] = out_Pa;
}
//Hold the demand for some seconds
if (ILMath.mod(i, ILMath.round(config.PRefSampleTime / config.DT)) == 2) //???
{
P_ref[ILMath.full, i - 1] = P_ref_new;
}
else
{
if (config.PowerRefInterpolation)
{
alpha = 0.01;
P_ref[ILMath.full, i - 1] = (1 - alpha) * P_ref[ILMath.full, i - 1 - 1] + (alpha) * P_ref_new;
}
else
{
P_ref[ILMath.full, i - 1] = P_ref_new;
}
}
//Calculate control for each individual turbine - should be moved to the
//turbine (drivetrain) model.
//Torque controller
for (var j = 1; j <= parm.N; j++)
{
if ((x.GetValue(j - 1, 0) * 97 >= VS_RtGnSp) || (u.GetValue(j - 1, 0) >= 1)) // We are in region 3 - power is constant
{
u.SetValue(P_ref.GetValue(j - 1, i - 1) / x.GetValue(j - 1, 0), j - 1, 1);
}
else if (x.GetValue(j - 1, 0) * 97 <= VS_CtInSp) //! We are in region 1 - torque is zero
{
u.SetValue(0.0, j - 1, 1);
}
else //! We are in region 2 - optimal torque is proportional to the square of the generator speed
{
u.SetValue(97 * VS_Rgn2K * x.GetValue(j - 1, 0) * x.GetValue(j - 1, 0) * Math.Pow(97, 2), j - 1, 1);
}
}
//Rate limit torque change
// u(:,2) - Mg_old;
Mg_max_rate = 1e6 * config.DT;
u[ILMath.full, 1] = ILMath.sign(u[ILMath.full, 1] - Mg_old) * ILMath.min(ILMath.abs(u[ILMath.full, 1] - Mg_old), Mg_max_rate) + Mg_old;
//Pitch controller
e = 97 * (omega0 * ILMath.ones(parm.N, 1) - x[ILMath.full, 0]);
ee = ee - config.DT * e;
ee = ILMath.min(ILMath.max(ee, PC_MinPit / Ki), PC_MaxPit / Ki);
u[ILMath.full, 0] = -Kp * config.DT * e + Ki * ee;
for (var j = 1; j <= parm.N; j++)
{
u.SetValue(Math.Min(Math.Max(u.GetValue(j - 1, 0), PC_MinPit), PC_MaxPit), j - 1, 0);
}
if (!config.EnableTurbineDynamics)
{
u = u0;
}
Mg[ILMath.full, i - 1] = u[ILMath.full, 1];
Mg_old = Mg[ILMath.full, i - 1];
beta[ILMath.full, i - 1] = u[ILMath.full, 0]; //Set pitch
//Turbine dynamics - can be simplified
if (config.EnableTurbineDynamics)
{
for (var j = 1; j <= parm.N; j++)
{
double out_x;
double out_Ct;
double out_Cp;
turbineModel.Model(x[j - 1, ILMath.full], u[j - 1, ILMath.full], wt, env, config.DT, out out_x, out out_Ct, out out_Cp);
x.SetValue(out_x, j - 1, 0);
Ct.SetValue(out_Ct, i - 1, j - 1);
Cp.SetValue(out_Cp, i - 1, j - 1);
}
}
else
{
Ct[i - 1, ILMath.full] = parm.Ct;
Cp[i - 1, ILMath.full] = parm.Cp;
x[ILMath.full, 0] = parm.ratedSpeed;//Rotational speed
}
Omega[ILMath.full, i - 1] = x[ILMath.full, 0];
Power[ILMath.full, i - 1] = Omega[ILMath.full, i - 1] * Mg[ILMath.full, i - 1];
}
//% Save output data
out_ = (config.DT * (ILMath.counter(0, 1, config.TimeLine())));
out_ = out_.Concat(v_nac.T, 1);
out_ = out_.Concat(Omega.T, 1);
out_ = out_.Concat(beta.T, 1);
out_ = out_.Concat(P_ref.T, 1);
out_ = out_.Concat(Ct, 1);
out_ = out_.Concat(Cp, 1);
out_ = out_.Concat(Pa.T, 1);
out_ = out_.Concat(Mg.T, 1);
out_ = out_.Concat(Power.T, 1);
//Ttotal power demand
var l = config.NTurbines * 3 + 1;
var r = l + config.NTurbines - 1;
out_ = out_.Concat(ILMath.sum(out_[ILMath.full, ILMath.r(l, r)], 1) / 1e6, 1); // P_ref sum
l = config.NTurbines * 6 + 1;
r = l + config.NTurbines - 1;
out_ = out_.Concat(ILMath.sum(out_[ILMath.full, ILMath.r(l, r)], 1) / 1e6, 1); // Pa sum. 'Power Demand'
out_ = out_.Concat(ILMath.sum(Power).T / 1e6, 1); // 'Actual Production'
//Ttotal power demand
out_ = out_.Concat(ILMath.sum(P_ref.T, 1), 1); // 'Demand'
out_ = out_.Concat(ILMath.sum(Pa.T, 1), 1); // 'Available'
out_ = out_.Concat(ILMath.sum(Mg * Omega).T, 1); // 'Actual'
//Total power produced
out_ = out_.Concat((Mg * Omega).T, 1);
var out_doubleArray = new double[out_.Size[0]][];
for (int i = 0; i <= out_doubleArray.GetLength(0) - 1; i++)
{
out_doubleArray[i] = new double[out_.Size[1]];
for (int j = 0; j <= out_doubleArray[i].GetLength(0) - 1; j++)
{
out_doubleArray[i][j] = out_.GetValue(i, j);
}
}
return(out_doubleArray);
}