diff --git a/WTC_toolbox/controller.py b/WTC_toolbox/controller.py index 620d48f23..f05462621 100644 --- a/WTC_toolbox/controller.py +++ b/WTC_toolbox/controller.py @@ -9,61 +9,200 @@ # CONDITIONS OF ANY KIND, either express or implied. See the License for the # specific language governing permissions and limitations under the License. -import numpy as numpy +import numpy as np from ccblade import CCAirfoil, CCBlade +from scipy import interpolate, gradient + +from WTC_toolbox import turbine as wtc_turbine + +turbine = wtc_turbine.Turbine() + +# Some useful constants +pi = np.pi +rad2deg = np.rad2deg(1) +deg2rad = np.deg2rad(1) class Controller(): """ - Class controller can be used to read in / write out controller param files - And update tunings + Class controller used to calculate controller tunings parameters """ def __init__(self): + pass + + def controller_params(self): + # Hard coded controller parameters for turbine. Using this until read_param_file is good to go + # - Coded for NREL 5MW + + # Pitch Controller Parameters + self.zeta_pc = 0.7 # Pitch controller damping ratio (-) + self.omega_pc = 0.6 # Pitch controller natural frequency (rad/s) + + # Torque Controller Parameters + self.zeta_vs = 0.7 # Torque controller damping ratio (-) + self.omega_vs = 0.3 # Torque controller natural frequency (rad/s) + + # Other basic parameters + self.v_rated = 11.4 # Rated wind speed (m/s) + + def tune_controller(self, turbine): """ - Maybe just initialize the internal variables - This also lists what will need to be defined + Given a turbine model, tune the controller parameters """ + # -------------Load Parameters ------------- # + # Re-define Turbine Parameters for shorthand + J = turbine.J # Total rotor inertial (kg-m^2) + rho = turbine.rho # Air density (kg/m^3) + R = turbine.RotorRad # Rotor radius (m) + Ar = np.pi*R**2 # Rotor area (m^2) + Ng = turbine.Ng # Gearbox ratio (-) + RRspeed = turbine.RRspeed # Rated rotor speed (rad/s) + + # Load controller parameters + # - should be self.read_param_file() eventually, hard coded for now + self.controller_params() + + # Re-define controller tuning parameters for shorthand + zeta_pc = self.zeta_pc # Pitch controller damping ratio + omega_pc = self.omega_pc # Pitch controller natural frequency (rad/s) + zeta_vs = self.zeta_vs # Torque controller damping ratio (-) + omega_vs = self.omega_vs # Torque controller natural frequency (rad/s) + v_rated = self.v_rated # Rated wind speed (m/s) + v_min = turbine.v_min # Cut in wind speed (m/s) + v_max = turbine.v_max # Cut out wind speed (m/s) + + # -------------Define Operation Points ------------- # + TSR_rated = RRspeed*R/v_rated # TSR at rated + + # separate wind speeds by operation regions + v_below_rated = np.arange(v_min,v_rated,0.1) # below rated + v_above_rated = np.arange(v_rated,v_max,0.1) # above rated + v = np.concatenate((v_below_rated, v_above_rated)) + + # separate TSRs by operations regions + TSR_below_rated = np.ones(len(v_below_rated))*turbine.Cp.TSR_opt # below rated + TSR_above_rated = RRspeed*R/v_above_rated # above rated + TSR_op = np.concatenate((TSR_below_rated, TSR_above_rated)) # operational TSRs + + # Find expected operational Cp values + Cp_above_rated = turbine.Cp.interp_surface(0,TSR_above_rated[0]) # Cp during rated operation (not optimal). Assumes cut-in bld pitch to be 0 + Cp_op_br = np.ones(len(v_below_rated)) * turbine.Cp.max # below rated + Cp_op_ar = Cp_above_rated * (TSR_above_rated/TSR_rated)**3 # above rated + Cp_op = np.concatenate((Cp_op_br, Cp_op_ar)) # operational CPs to linearize around + pitch_initial_rad = turbine.pitch_initial_rad + TSR_initial = turbine.TSR_initial + + # initialize variables + pitch_op = np.empty(len(TSR_op)) + dCp_beta = np.empty(len(TSR_op)) + dCp_TSR = np.empty(len(TSR_op)) + # ------------- Find Linearized State Matrices ------------- # + + for i in range(len(TSR_op)): + + # Find pitch angle as a function of expected operating CP for each TSR + self.Cp_TSR = np.ndarray.flatten(turbine.Cp.interp_surface(turbine.pitch_initial_rad, TSR_op[i])) # all Cp values for a given tsr + Cp_op[i] = np.clip(Cp_op[i], np.min(self.Cp_TSR), np.max(self.Cp_TSR)) # saturate Cp values to be on Cp surface + f_cp_pitch = interpolate.interp1d(self.Cp_TSR,pitch_initial_rad) # interpolate function for Cp(tsr) values + pitch_op[i] = f_cp_pitch(Cp_op[i]) # expected operation blade pitch values + dCp_beta[i], dCp_TSR[i] = turbine.Cp.interp_gradient(pitch_op[i],TSR_op[i]) # gradients of Cp surface in Beta and TSR directions + + # Full Cp surface gradients + dCp_dbeta = dCp_beta/np.diff(pitch_initial_rad)[0] + dCp_dTSR = dCp_TSR/np.diff(TSR_initial)[0] + + # Linearized system derivatives + dtau_dbeta = Ng/2*rho*Ar*R*(1/TSR_op)*dCp_dbeta*v**2 + dtau_dlambda = Ng/2*rho*Ar*R*v**2*(1/(TSR_op**2))*(dCp_dTSR*TSR_op - Cp_op) + dlambda_domega = R/v/Ng + dtau_domega = dtau_dlambda*dlambda_domega + + # Second order system coefficiencts + A = dtau_domega/J # Plant pole + B_tau = -Ng**2/J # Torque input + B_beta = dtau_dbeta/J # Blade pitch input + + # Wind Disturbance Input + dlambda_dv = -(TSR_op/v) + dtau_dv = dtau_dlambda*dlambda_dv + B_v = dtau_dv/J # wind speed input - currently unused + + + # separate and define below and above rated parameters + A_vs = A[0:len(v_below_rated)] # below rated + A_pc = A[len(v_below_rated):len(v)] # above rated + B_tau = B_tau * np.ones(len(v_below_rated)) + B_beta = B_beta[len(v_below_rated):len(v)] + + # Find gain schedule + self.pc_gain_schedule = GainSchedule() + self.pc_gain_schedule.second_order_PI(zeta_pc, omega_pc,A_pc,B_beta,linearize=True,v=v_above_rated) + self.vs_gain_schedule = GainSchedule() + self.vs_gain_schedule.second_order_PI(zeta_vs, omega_vs,A_vs,B_tau,linearize=False,v=v_below_rated) + + # Store some variables + self.v = v # Wind speed (m/s) + self.Cp_op = Cp_op + self.pitch_op = pitch_op + self.pitc_op_pc = pitch_op[len(v_below_rated):len(v)] + self.TSR_op = TSR_op + self.A = A + self.B_beta = B_beta + +class GainSchedule(): + def __init__(self): + ''' + Gain Schedule class used to define gain schedules for desired closed loop dynamics + ''' pass + def second_order_PI(self,zeta,om_n,A,B,linearize=False,v=None): + + # Linearize system coefficients w.r.t. wind speed if desired + if linearize: + print('Calculating second order PI gain schedule for linearized system pole location.') + pA = np.polyfit(v,A,1) + pB = np.polyfit(v,B,1) + A = pA[0]*v + pA[1] + B = pB[0]*v + pB[1] + + # Calculate gain schedule + self.Kp = 1/B * (2*zeta*om_n + A) + self.Ki = om_n**2/B + +class FileProcessing(): + """ + Class ProcessFile can be used to read in / write out controller param files to update + """ + + def __init__(self, controller): + """ + Process + """ + def read_param_file(self, param_file): """ Load the parameter files directly from a FAST input deck """ # Pitch Controller Parameters - self.PC_zeta = param_file.PC_zeta # Pitch controller damping ratio (-) - self.PC_om = param_file.PC_om # Pitch controller natural frequency (rad/s) + self.zeta_pc = param_file.PC_zeta # Pitch controller damping ratio (-) + self.omega_pc = param_file.PC_omega # Pitch controller natural frequency (rad/s) # Torque Controller Parameters - self.VS_zeta = param_file.VS_zeta # Torque controller damping ratio (-) - self.VS_om = param_file.VS_om # Torque controller natural frequency (rad/s) + self.zeta_vs = param_file.VS_zeta # Torque controller damping ratio (-) + self.omega_vs = param_file.VS_omega # Torque controller natural frequency (rad/s) # Setpoint Smoother Parameters self.Kss_PC = param_file.Kss_PC # Pitch controller reference gain bias self.Kss_VS = param_file.Kss_VS # Torque controller reference gain bias - self.Vmin = turbine.VS_Vmin # Cut-in wind speed (m/s) - self.Vrat = turbine.PC_Vrated # Rated wind speed (m/s) - self.Vmax = turbine.PC_Vmax # Cut-out wind speed (m/s), -- Does not need to be exact + self.v_min = turbine.VS_Vmin # Cut-in wind speed (m/s) + self.v_rated = turbine.PC_Vrated # Rated wind speed (m/s) + self.v_max = turbine.PC_Vmax # Cut-out wind speed (m/s), -- Does not need to be exact def write_param_file(self, param_file): """ Load the parameter files directly from a FAST input deck """ - - def tune_controller(self, turbine): - """ - Given a turbine model, tune the controller parameters - """ - - # Turbine Parameters - J = turbine.J # Total rotor inertial (kg-m^2) - rho = turbine.rho # Air density (kg/m^3) - R = turbine.RotorRad # Rotor radius (m) - Ar = pi*R^2 # Rotor area (m^2) - Ng = turbine.GBRatio # Gearbox ratio (-) - RRspeed = turbine.RRSpeed # Rated rotor speed (rad/s) - - # Cp Surface - CpSurf = turbine.CpSurf # Matrix of Cp surface values - CpBeta = turbine.CpBeta # Vector of blade pitch angles corresponding to Cp surface (rad) - CpTSR = turbine.CpTSR # Vector of tip-speed-ratio values corresponding to Cp surface (rad) + + \ No newline at end of file diff --git a/WTC_toolbox/turbine.py b/WTC_toolbox/turbine.py index 24fc30236..3b18f348d 100644 --- a/WTC_toolbox/turbine.py +++ b/WTC_toolbox/turbine.py @@ -13,12 +13,13 @@ import numpy as np from ccblade import CCAirfoil, CCBlade from AeroelasticSE.FAST_reader import InputReader_OpenFAST -from scipy import interpolate +from scipy import interpolate, gradient import pickle # Some useful constants -degRad = np.pi/180. -rpmRadSec = 2.0*(np.pi)/60.0 +deg2rad = np.deg2rad(1) +rad2deg = np.rad2deg(1) +rpm2RadSec = 2.0*(np.pi)/60.0 class Turbine(): """ @@ -39,9 +40,9 @@ def __init__(self): self.RotorRad = None # Rotor radius (m) self.Ng = None # Gearbox ratio (-) self.RRspeed = None # Rated rotor speed (rad/s) - self.Vmin = 4. # Cut-in wind speed (m/s) (JUST ASSUME FOR NOW) - self.Vrat = None # Rated wind speed (m/s) - self.Vmax = 25. # Cut-out wind speed (m/s), -- Does not need to be exact (JUST ASSUME FOR NOW) + self.v_min = 4. # Cut-in wind speed (m/s) (JUST ASSUME FOR NOW) + self.v_rated = None # Rated wind speed (m/s) + self.v_max = 25. # Cut-out wind speed (m/s), -- Does not need to be exact (JUST ASSUME FOR NOW) # Init the cc-blade rotor self.cc_rotor = None @@ -69,26 +70,36 @@ def __str__(self): # Save function def save(self,filename): - tuple_to_save = (self.J,self.rho,self.RotorRad, self.Ng,self.RRspeed,self.Vmin,self.Vrat,self.Vmax,self.cc_rotor,self.cp_interp,self.ct_interp,self.cq_interp ) + tuple_to_save = (self.J,self.rho,self.RotorRad, self.Ng,self.RRspeed,self.v_min,self.v_rated,self.v_max,self.cc_rotor,self.cp_interp,self.ct_interp,self.cq_interp ) pickle.dump( tuple_to_save, open( filename, "wb" ) ) # Load function def load(self, filename): - self.J,self.rho,self.RotorRad, self.Ng,self.RRspeed,self.Vmin,self.Vrat,self.Vmax,self.cc_rotor,self.cp_interp,self.ct_interp,self.cq_interp = pickle.load(open(filename,'rb')) + self.J,self.rho,self.RotorRad, self.Ng,self.RRspeed,self.v_min,self.v_rated,self.v_max,self.cc_rotor,self.cp_interp,self.ct_interp,self.cq_interp = pickle.load(open(filename,'rb')) def load_from_fast(self, FAST_InputFile,FAST_directory,drivetrain_inertia, FAST_ver='OpenFAST',dev_branch=True,rot_source=None, txt_filename=None): """ Load the parameter files directly from a FAST input deck - Inputs: - Fast_InputFile - Primary fast model input file (*.fst) - FAST_directory - Directory for primary fast model input file - drivetrain_intertia - drivetrain intertia (kg-m^2) # nja - this might be able to be automated - dev_branch - dev_branch input to InputReader_OpenFAST, probably True - rot_source - desired source for rotor to get Cp, Ct, Cq tables. Default is to run cc-blade. + + Parameters: + ----------- + Fast_InputFile: str + Primary fast model input file (*.fst) + FAST_directory: str + Directory for primary fast model input file + drivetrain_intertia: int + drivetrain intertia (kg-m^2) # nja - this might be able to be automated + FAST_ver: string, optional + + dev_branch: bool + dev_branch input to InputReader_OpenFAST, probably True + rot_source: str + desired source for rotor to get Cp, Ct, Cq tables. Default is to run cc-blade. options: cc-blade - run cc-blade txt - from *.txt file - txt_filename - filename for *.txt, only used if rot_source='txt' + txt_filename: str + filename for *.txt, only used if rot_source='txt' """ # Need unfortunately to hack this for now, hope to fix later @@ -115,9 +126,9 @@ def load_from_fast(self, FAST_InputFile,FAST_directory,drivetrain_inertia, FAST_ self.RotorRad = TipRad # Calculate rated rotor speed for now by scaling from NREL 5MW - self.RRspeed = (63. / TipRad) * 12.1 * rpmRadSec + self.RRspeed = (63. / TipRad) * 12.1 * rpm2RadSec - # Load Cp, Ct, Cq, surfaces + # Load Cp, Ct, Cq tables if rot_source == 'txt': self.load_from_txt(fast,txt_filename) elif rot_source == 'cc-blade': @@ -126,6 +137,11 @@ def load_from_fast(self, FAST_InputFile,FAST_directory,drivetrain_inertia, FAST_ print('No desired rotor performance data source specified, running cc-blade by default.') self.load_from_ccblade(fast) + # Parse rotor performance data + self.Cp = RotorPerformance(self.Cp_table,self.pitch_initial_rad,self.TSR_initial) + self.Ct = RotorPerformance(self.Ct_table,self.pitch_initial_rad,self.TSR_initial) + self.Cq = RotorPerformance(self.Cq_table,self.pitch_initial_rad,self.TSR_initial) + def load_from_ccblade(self,fast): print('Loading rotor performace data from cc-blade:') # Create CC-Blade Rotor @@ -171,6 +187,7 @@ def load_from_ccblade(self,fast): TSR_initial = np.arange(0.5,15,0.5) pitch_initial = np.arange(0,25,0.5) + pitch_initial_rad = pitch_initial * deg2rad ws_array = (fixed_rpm * (np.pi / 30.) * TipRad) / TSR_initial ws_mesh, pitch_mesh = np.meshgrid(ws_array, pitch_initial) ws_flat = ws_mesh.flatten() @@ -182,60 +199,99 @@ def load_from_ccblade(self,fast): P, T, Q, M, CP, CT, CQ, CM = self.cc_rotor.evaluate(ws_flat, omega_flat, pitch_flat, coefficients=True) # Reshape Cp, Ct and Cq - CP = np.reshape(CP, (len(pitch_initial), len(TSR_initial))) - CT = np.reshape(CT, (len(pitch_initial), len(TSR_initial))) - CQ = np.reshape(CQ, (len(pitch_initial), len(TSR_initial))) + CP = np.transpose(np.reshape(CP, (len(pitch_initial), len(TSR_initial)))) + CT = np.transpose(np.reshape(CT, (len(pitch_initial), len(TSR_initial)))) + CQ = np.transpose(np.reshape(CQ, (len(pitch_initial), len(TSR_initial)))) - pitch_initial_rad = pitch_initial * pi/180 - # # Form the interpolant functions which can look up any arbitrary location - self.cp_interp = interpolate.interp2d(pitch_initial_rad, TSR_initial, np.transpose(CP), kind='cubic') - self.ct_interp = interpolate.interp2d(pitch_initial_rad, TSR_initial, np.transpose(CT), kind='cubic') - self.cq_interp = interpolate.interp2d(pitch_initial_rad, TSR_initial, np.transpose(CQ), kind='cubic') + # Store necessary metrics for analysis + self.pitch_initial_rad = pitch_initial_rad + self.TSR_initial = TSR_initial + self.CP_table = CP + self.CT_table = CT + self.CQ_table = CQ def load_from_txt(self,fast,txt_filename): + ''' + Load rotor performance data from a *.txt file. + + Need to include notes on necessary file format: + ''' print('Loading rotor performace data from text file:', txt_filename) - - # Assign variables - CP = [] - CT = [] - CQ = [] with open(txt_filename) as pfile: for line in pfile: # Read Blade Pitch Angles (degrees) - if line.__contains__('Pitch angle'): - # Beta.append(pfile.readline()) - pitch_initial = np.array([float(x) for x in pfile.__next__().strip().split()]) - pitch_initial_rad = pitch_initial * (np.pi/180) # degrees to rad + if 'Pitch angle' in line: + pitch_initial = np.array([float(x) for x in pfile.readline().strip().split()]) + pitch_initial_rad = pitch_initial * deg2rad # degrees to rad ! should this be conditional? + # Read Tip Speed Ratios (rad) - if line.__contains__('TSR'): - TSR_initial = np.array([float(x) for x in pfile.__next__().strip().split()]) + if 'TSR' in line: + TSR_initial = np.array([float(x) for x in pfile.readline().strip().split()]) # Read Power Coefficients - if line.__contains__('Power'): - pfile.__next__() + if 'Power' in line: + pfile.readline() + Cp = np.empty((len(TSR_initial),len(pitch_initial))) for tsr_i in range(len(TSR_initial)): - CP = np.append(CP,np.array([float(x) for x in pfile.__next__().strip().split()])) - CP = np.reshape(CP, (len(TSR_initial),len(pitch_initial))) + Cp[tsr_i] = np.array([float(x) for x in pfile.readline().strip().split()]) # Read Thrust Coefficients - if line.__contains__('Thrust'): - pfile.__next__() + if 'Thrust' in line: + pfile.readline() + Ct = np.empty((len(TSR_initial),len(pitch_initial))) for tsr_i in range(len(TSR_initial)): - CT = np.append(CT,np.array([float(x) for x in pfile.__next__().strip().split()])) - CT = np.reshape(CT, (len(TSR_initial),len(pitch_initial))) + Ct[tsr_i] = np.array([float(x) for x in pfile.readline().strip().split()]) # Read Troque Coefficients - if line.__contains__('Torque'): - pfile.__next__() + if 'Torque' in line: + pfile.readline() + Cq = np.empty((len(TSR_initial),len(pitch_initial))) for tsr_i in range(len(TSR_initial)): - CQ = np.append(CQ,np.array([float(x) for x in pfile.__next__().strip().split()])) - CQ = np.reshape(CQ, (len(TSR_initial),len(pitch_initial))) - - # # Form the interpolant functions which can look up any arbitrary location - self.cp_interp = interpolate.interp2d(pitch_initial_rad, TSR_initial, CP, kind='cubic') - self.ct_interp = interpolate.interp2d(pitch_initial_rad, TSR_initial, CT, kind='cubic') - self.cq_interp = interpolate.interp2d(pitch_initial_rad, TSR_initial, CQ, kind='cubic') + Cq[tsr_i] = np.array([float(x) for x in pfile.readline().strip().split()]) + + # Store necessary metrics for analysis + self.pitch_initial_rad = pitch_initial_rad + self.TSR_initial = TSR_initial + self.Cp_table = Cp + self.Ct_table = Ct + self.Cq_table = Cq + + +class RotorPerformance(): + def __init__(self,performance_table, pitch_initial_rad, TSR_initial): + ''' + Used to find details from rotor performance tables generated by CC-blade or similer BEM-solvers. + ''' + + # Store performance data tables + self.performance_table = performance_table # Table containing rotor performance data, i.e. Cp, Ct, Cq + self.pitch_initial_rad = pitch_initial_rad # Pitch angles corresponding to x-axis of performance_table (rad) + self.TSR_initial = TSR_initial # Tip-Speed-Ratios corresponding to y-axis of performance_table (rad) + + # Calculate Gradients + self.gradient_TSR, self.gradient_pitch = gradient(performance_table) # gradient_TSR along y-axis, gradient_pitch along x-axis (rows, columns) + + # Optimal below rated TSR and blade pitch + self.max = np.amax(performance_table) + self.max_ind = np.where(performance_table == np.amax(performance_table)) + self.TSR_opt = TSR_initial[self.max_ind[0]] + self.pitch_opt = pitch_initial_rad[self.max_ind[1]] + + def interp_surface(self,pitch,TSR): + # Form the interpolant functions which can look up any arbitrary location on rotor performance surface + interp_fun = interpolate.interp2d(self.pitch_initial_rad, self.TSR_initial, self.performance_table, kind='cubic') + return interp_fun(pitch,TSR) + + def interp_gradient(self,pitch,TSR): + # Form the interpolant functions to find gradient at any arbitrary location on rotor performance surface + dCP_beta_interp = interpolate.interp2d(self.pitch_initial_rad, self.TSR_initial, self.gradient_pitch, kind='cubic') + dCP_TSR_interp = interpolate.interp2d(self.pitch_initial_rad, self.TSR_initial, self.gradient_TSR, kind='cubic') + + # grad.shape output as (2,) numpy array, equivalent to (pitch-direction,TSR-direction) + grad = np.array([dCP_beta_interp(pitch,TSR), dCP_TSR_interp(pitch,TSR)]) + return np.ndarray.flatten(grad) + # # NOT CERTAIN OF THESE ALTERNATIVES YET diff --git a/examples/Cp_Ct_Cq.txt b/examples/Cp_Ct_Cq.txt index 1ff6f63e5..250134617 100644 --- a/examples/Cp_Ct_Cq.txt +++ b/examples/Cp_Ct_Cq.txt @@ -1,45 +1,137 @@ # Pitch angle vector - x axis (matrix columns) (deg) --10.00 -9.00 -8.00 -7.00 -6.00 -5.00 -4.00 -3.00 -2.00 -1.00 0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 -# TSR vector - y axis (matrix raws) (-) -3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 +-2.00 -1.90 -1.80 -1.70 -1.60 -1.50 -1.40 -1.30 -1.20 -1.10 -1.00 -0.90 -0.80 -0.70 -0.60 -0.50 -0.40 -0.30 -0.20 -0.10 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.10 3.20 3.30 3.40 3.50 3.60 3.70 3.80 3.90 4.00 4.10 4.20 4.30 4.40 4.50 4.60 4.70 4.80 4.90 5.00 5.10 5.20 5.30 5.40 5.50 5.60 5.70 5.80 5.90 6.00 6.10 6.20 6.30 6.40 6.50 6.60 6.70 6.80 6.90 7.00 7.10 7.20 7.30 7.40 7.50 7.60 7.70 7.80 7.90 8.00 8.10 8.20 8.30 8.40 8.50 8.60 8.70 8.80 8.90 9.00 9.10 9.20 9.30 9.40 9.50 9.60 9.70 9.80 9.90 10.00 10.10 10.20 10.30 10.40 10.50 10.60 10.70 10.80 10.90 11.00 11.10 11.20 11.30 11.40 11.50 11.60 11.70 11.80 11.90 12.00 12.10 12.20 12.30 12.40 12.50 12.60 12.70 12.80 12.90 13.00 13.10 13.20 13.30 13.40 13.50 13.60 13.70 13.80 13.90 14.00 14.10 14.20 14.30 14.40 14.50 14.60 14.70 14.80 14.90 15.00 15.10 15.20 15.30 15.40 15.50 15.60 15.70 15.80 15.90 16.00 16.10 16.20 16.30 16.40 16.50 16.60 16.70 16.80 16.90 17.00 17.10 17.20 17.30 17.40 17.50 17.60 17.70 17.80 17.90 18.00 18.10 18.20 18.30 18.40 18.50 18.60 18.70 18.80 18.90 19.00 19.10 19.20 19.30 19.40 19.50 19.60 19.70 19.80 19.90 20.00 20.10 20.20 20.30 20.40 20.50 20.60 20.70 20.80 20.90 21.00 21.10 21.20 21.30 21.40 21.50 21.60 21.70 21.80 21.90 22.00 22.10 22.20 22.30 22.40 22.50 22.60 22.70 22.80 22.90 23.00 23.10 23.20 23.30 23.40 23.50 23.60 23.70 23.80 23.90 24.00 24.10 24.20 24.30 24.40 24.50 24.60 24.70 24.80 24.90 25.00 25.10 25.20 25.30 25.40 25.50 25.60 25.70 25.80 25.90 26.00 26.10 26.20 26.30 26.40 26.50 26.60 26.70 26.80 26.90 27.00 27.10 27.20 27.30 27.40 27.50 27.60 27.70 27.80 27.90 28.00 28.10 28.20 28.30 28.40 28.50 28.60 28.70 28.80 28.90 29.00 29.10 29.20 29.30 29.40 29.50 29.60 29.70 29.80 29.90 +# TSR vector - y axis (matrix rows) (-) +3.00 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20 10.40 10.60 10.80 # Wind speed vector - z axis (m/s) 3.00 # Power coefficient --0.00354 0.00636 0.01654 0.02699 0.03766 0.04847 0.05936 0.07021 0.08092 0.09134 0.10132 0.11074 0.11945 0.12734 0.13431 0.14023 0.14504 0.14868 0.15116 0.15252 0.15281 0.15205 0.15024 0.14738 0.14346 0.13846 0.13235 0.12514 0.11685 0.10753 0.09726 0.08610 0.07413 0.06144 0.04814 0.03431 0.02009 0.00562 -0.00899 -0.02365 -0.03824 -0.05262 -0.06670 -0.08042 -0.09377 -0.10666 -0.11899 -0.13059 -0.14131 -0.15103 -0.15972 -0.03307 0.05493 0.07657 0.09777 0.11830 0.13793 0.15643 0.17359 0.18923 0.20319 0.21532 0.22552 0.23365 0.23969 0.24355 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0.42617 0.42591 0.42545 0.42479 0.42389 0.42274 0.42129 0.41952 0.41743 0.41504 0.41234 0.40935 0.40606 0.40249 0.39865 0.39455 0.39020 0.38559 0.38072 0.37559 0.37022 0.36460 0.35874 0.35264 0.34632 0.33977 0.33299 0.32600 0.31878 0.31136 0.30372 0.29588 0.28783 0.27957 0.27111 0.26246 0.25360 0.24455 0.23531 0.22587 0.21625 0.20643 0.19643 0.18623 0.17585 0.16529 0.15455 0.14362 0.13251 0.12122 0.10974 0.09809 0.08627 0.07426 0.06208 0.04972 0.03719 0.02448 0.01160 -0.00146 -0.01469 -0.02809 -0.04166 -0.05541 -0.06933 -0.08341 -0.09767 -0.11210 -0.12669 -0.14146 -0.15639 -0.17150 -0.18677 -0.20221 -0.21781 -0.23358 -0.24951 -0.26561 -0.28186 -0.29826 -0.31482 -0.33153 -0.34838 -0.36536 -0.38248 -0.39974 -0.41711 -0.43461 -0.45223 -0.46996 -0.48780 -0.50574 -0.52379 -0.54192 -0.56015 -0.57846 -0.59686 -0.61533 -0.63387 -0.65248 -0.67115 -0.68988 -0.70865 -0.72748 -0.74635 -0.76525 -0.78418 -0.80314 -0.82212 -0.84112 -0.86012 -0.87913 -0.89814 -0.91714 -0.93613 -0.95510 -0.97405 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-3.46026 -3.48570 -3.51111 -3.53649 -3.56183 -3.58716 -3.61246 -3.63774 -3.66301 -3.68826 -3.71351 -3.73875 -3.76398 -3.78922 -3.81446 -3.83969 -3.86493 -3.89016 -3.91539 -3.94062 -3.96585 -3.99107 -4.01629 -4.04150 -4.06671 -4.09191 -4.11710 -4.14229 -4.16747 -4.19264 -4.21781 -4.24297 -4.26813 -4.29328 -4.31842 -4.34356 -4.36869 -4.39382 -4.41894 -4.44406 -4.46917 -4.49428 -4.51938 -4.54448 -4.56958 -4.59468 -4.61977 -4.64486 -4.66995 -4.69504 -4.72013 -4.74522 -4.77031 -4.79540 -4.82049 -4.84559 -4.87069 # Thrust coefficient -0.21044 0.21296 0.21574 0.21874 0.22187 0.22505 0.22814 0.23103 0.23357 0.23563 0.23708 0.23780 0.23774 0.23683 0.23509 0.23253 0.22919 0.22516 0.22051 0.21534 0.20970 0.20358 0.19692 0.18964 0.18167 0.17293 0.16339 0.15302 0.14183 0.12984 0.11711 0.10374 0.08982 0.07546 0.06076 0.04582 0.03076 0.01568 0.00072 -0.01399 -0.02829 -0.04202 -0.05497 -0.06692 -0.07765 -0.08697 -0.09474 -0.10089 -0.10544 -0.10844 -0.10998 -0.35208 0.35859 0.36451 0.36956 0.37350 0.37615 0.37735 0.37704 0.37524 0.37206 0.36768 0.36228 0.35603 0.34903 0.34120 0.33238 0.32238 0.31095 0.29793 0.28322 0.26684 0.24884 0.22938 0.20863 0.18679 0.16403 0.14050 0.11637 0.09179 0.06689 0.04181 0.01668 -0.00837 -0.03317 -0.05754 -0.08120 -0.10382 -0.12501 -0.14435 -0.16137 -0.17569 -0.18705 -0.19538 -0.20073 -0.20328 -0.20331 -0.20124 -0.19757 -0.19285 -0.18759 -0.18219 -0.54505 0.54989 0.55242 0.55266 0.55077 0.54709 0.54197 0.53569 0.52836 0.51979 0.50961 0.49733 0.48251 0.46488 0.44431 0.42097 0.39517 0.36722 0.33743 0.30603 0.27325 0.23927 0.20429 0.16847 0.13200 0.09506 0.05783 0.02048 -0.01681 -0.05386 -0.09045 -0.12633 -0.16112 -0.19428 -0.22512 -0.25290 -0.27683 -0.29625 -0.31079 -0.32044 -0.32540 -0.32609 -0.32315 -0.31742 -0.30983 -0.30122 -0.29223 -0.28333 -0.27478 -0.26675 -0.25934 -0.76259 0.76100 0.75723 0.75165 0.74440 0.73531 0.72388 0.70963 0.69184 0.66999 0.64412 0.61467 0.58200 0.54647 0.50835 0.46791 0.42539 0.38101 0.33498 0.28751 0.23880 0.18906 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0.85151 0.84292 0.83428 0.82557 0.81680 0.80796 0.79904 0.79004 0.78094 0.77173 0.76237 0.75285 0.74317 0.73334 0.72337 0.71324 0.70298 0.69259 0.68207 0.67144 0.66070 0.64985 0.63888 0.62780 0.61661 0.60531 0.59392 0.58242 0.57083 0.55915 0.54739 0.53553 0.52360 0.51158 0.49949 0.48733 0.47509 0.46278 0.45040 0.43796 0.42546 0.41289 0.40026 0.38758 0.37484 0.36204 0.34920 0.33630 0.32335 0.31036 0.29731 0.28423 0.27110 0.25793 0.24472 0.23147 0.21819 0.20486 0.19151 0.17812 0.16470 0.15125 0.13777 0.12426 0.11073 0.09717 0.08359 0.06998 0.05636 0.04271 0.02905 0.01537 0.00167 -0.01204 -0.02577 -0.03951 -0.05326 -0.06702 -0.08079 -0.09456 -0.10835 -0.12213 -0.13593 -0.14972 -0.16352 -0.17732 -0.19111 -0.20491 -0.21870 -0.23249 -0.24627 -0.26004 -0.27381 -0.28757 -0.30132 -0.31506 -0.32879 -0.34250 -0.35620 -0.36989 -0.38356 -0.39721 -0.41084 -0.42445 -0.43804 -0.45161 -0.46515 -0.47868 -0.49217 -0.50564 -0.51908 -0.53249 -0.54588 -0.55923 -0.57255 -0.58583 -0.59908 -0.61230 -0.62547 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0.57963 0.56768 0.55564 0.54350 0.53127 0.51895 0.50655 0.49407 0.48151 0.46887 0.45616 0.44338 0.43053 0.41761 0.40463 0.39158 0.37847 0.36531 0.35209 0.33881 0.32548 0.31210 0.29867 0.28519 0.27166 0.25809 0.24448 0.23082 0.21713 0.20340 0.18962 0.17582 0.16198 0.14811 0.13420 0.12027 0.10631 0.09232 0.07830 0.06426 0.05020 0.03612 0.02202 0.00789 -0.00625 -0.02040 -0.03457 -0.04876 -0.06296 -0.07716 -0.09138 -0.10561 -0.11984 -0.13408 -0.14833 -0.16258 -0.17683 -0.19108 -0.20533 -0.21958 -0.23383 -0.24807 -0.26231 -0.27654 -0.29077 -0.30499 -0.31920 -0.33339 -0.34758 -0.36175 -0.37591 -0.39005 -0.40417 -0.41828 -0.43237 -0.44644 -0.46049 -0.47451 -0.48851 -0.50249 -0.51644 -0.53036 -0.54425 -0.55812 -0.57195 -0.58575 -0.59952 -0.61325 -0.62695 -0.64061 -0.65424 -0.66782 -0.68137 -0.69487 -0.70833 -0.72174 -0.73511 -0.74843 -0.76171 -0.77493 -0.78811 -0.80123 -0.81430 -0.82731 -0.84027 -0.85317 -0.86601 -0.87878 -0.89150 -0.90415 -0.91673 -0.92925 -0.94169 -0.95407 -0.96637 -0.97859 -0.99074 -1.00281 -1.01480 -1.02670 -1.03852 -1.05026 -1.06190 -1.07345 -1.08491 -1.09628 -1.10754 -1.11871 -1.12978 -1.14074 -1.15160 -1.16234 -1.17298 -1.18350 -1.19391 -1.20420 -1.21437 -1.22441 -1.23433 -1.24412 -1.25378 -1.26330 -1.27269 -1.28193 -1.29104 -1.30000 -1.30880 -1.31746 -1.32596 -1.33431 -1.34249 -1.35051 -1.35836 -1.36604 -1.37355 -1.38089 -1.38805 -1.39504 -1.40186 -1.40849 -1.41495 -1.42123 -1.42733 -1.43324 -1.43898 -1.44453 -1.44989 -1.45507 -1.46006 -1.46487 -1.46948 -1.47391 -1.47814 -1.48219 -1.48604 -1.48970 -1.49316 -1.49643 -1.49951 -1.50239 -1.50507 -1.50755 -1.50983 -1.51192 -1.51380 -1.51549 -1.51699 -1.51829 -1.51940 -1.52033 -1.52107 -1.52163 -1.52201 -1.52222 -1.52226 -1.52214 -1.52185 -1.52141 -1.52081 -1.52006 -1.51917 -1.51814 -1.51698 -1.51568 -1.51426 -1.51271 -1.51106 -1.50928 -1.50741 -1.50543 -1.50336 -1.50120 -1.49895 -1.49662 -1.49421 -1.49174 -1.48920 -1.48660 -1.48394 -1.48123 -1.47848 -1.47567 -1.47282 -1.46993 -1.46699 -1.46401 -1.46099 -1.45793 -1.45483 -1.45169 -1.44851 -1.44530 -1.44205 -1.43876 -1.43545 -1.43210 -1.42873 -1.42532 -1.42190 -1.41844 -1.41497 -1.41147 -1.40795 -1.40442 -1.40087 -1.39730 -1.39373 -1.39014 -1.38654 -1.38294 -1.37934 -1.37573 -1.37212 -1.36851 -1.36490 -1.36130 -1.35771 -1.35413 -1.35056 -1.34701 -1.34347 -1.33995 -1.33645 # Torque coefficient --0.00118 0.00212 0.00552 0.00901 0.01256 0.01617 0.01980 0.02343 0.02700 0.03047 0.03381 0.03695 0.03985 0.04249 0.04481 0.04679 0.04839 0.04961 0.05044 0.05089 0.05099 0.05073 0.05013 0.04917 0.04786 0.04620 0.04416 0.04175 0.03899 0.03588 0.03245 0.02873 0.02473 0.02050 0.01606 0.01145 0.00670 0.00188 -0.00300 -0.00789 -0.01276 -0.01756 -0.02225 -0.02683 -0.03129 -0.03559 -0.03970 -0.04357 -0.04715 -0.05039 -0.05329 -0.00828 0.01375 0.01916 0.02447 0.02960 0.03452 0.03914 0.04344 0.04735 0.05084 0.05388 0.05643 0.05847 0.05998 0.06094 0.06135 0.06119 0.06043 0.05905 0.05706 0.05449 0.05138 0.04779 0.04377 0.03938 0.03466 0.02965 0.02436 0.01880 0.01300 0.00699 0.00081 -0.00547 -0.01177 -0.01802 -0.02420 -0.03029 -0.03627 -0.04215 -0.04796 -0.05369 -0.05930 -0.06463 -0.06958 -0.07406 -0.07810 -0.08175 -0.08510 -0.08827 -0.09133 -0.09437 -0.01909 0.02599 0.03256 0.03875 0.04455 0.04994 0.05485 0.05923 0.06297 0.06598 0.06818 0.06949 0.06989 0.06938 0.06796 0.06571 0.06273 0.05913 0.05499 0.05039 0.04539 0.04002 0.03430 0.02826 0.02187 0.01513 0.00805 0.00066 -0.00697 -0.01474 -0.02252 -0.03022 -0.03776 -0.04515 -0.05243 -0.05968 -0.06701 -0.07444 -0.08185 -0.08898 -0.09562 -0.10170 -0.10725 -0.11241 -0.11729 -0.12202 -0.12668 -0.13133 -0.13601 -0.14075 -0.14556 -0.02647 0.03446 0.04203 0.04909 0.05549 0.06105 0.06562 0.06914 0.07153 0.07276 0.07288 0.07201 0.07023 0.06765 0.06434 0.06037 0.05583 0.05076 0.04521 0.03921 0.03278 0.02591 0.01856 0.01072 0.00239 -0.00638 -0.01551 -0.02483 -0.03418 -0.04343 -0.05243 -0.06121 -0.06986 -0.07860 -0.08767 -0.09712 -0.10671 -0.11603 -0.12478 -0.13289 -0.14046 -0.14762 -0.15451 -0.16123 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0.04592 0.04822 0.05005 0.05131 0.05157 0.05039 0.04766 0.04343 0.03787 0.03112 0.02322 0.01418 0.00395 -0.00749 -0.02010 -0.03371 -0.04805 -0.06279 -0.07762 -0.09223 -0.10640 -0.12013 -0.13382 -0.14839 -0.16465 -0.18252 -0.20109 -0.21942 -0.23696 -0.25367 -0.26966 -0.28513 -0.30033 -0.31555 -0.33102 -0.34685 -0.36299 -0.37939 -0.39597 -0.41268 -0.42949 -0.44636 -0.46324 -0.48012 -0.00443 0.01081 0.01646 0.02147 0.02589 0.02980 0.03330 0.03649 0.03927 0.04149 0.04315 0.04406 0.04356 0.04119 0.03692 0.03091 0.02332 0.01424 0.00365 -0.00847 -0.02209 -0.03705 -0.05307 -0.06976 -0.08673 -0.10360 -0.12005 -0.13594 -0.15155 -0.16787 -0.18617 -0.20683 -0.22900 -0.25141 -0.27311 -0.29384 -0.31370 -0.33294 -0.35188 -0.37089 -0.39019 -0.40985 -0.42985 -0.45012 -0.47058 -0.49119 -0.51188 -0.53263 -0.55338 -0.57411 -0.59477 --0.00258 0.00287 0.00754 0.01188 0.01626 0.02059 0.02452 0.02800 0.03107 0.03375 0.03577 0.03706 0.03708 0.03504 0.03070 0.02414 0.01558 0.00511 -0.00725 -0.02149 -0.03750 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-0.35119 -0.35353 -0.35587 -0.35820 -0.36054 -0.36288 -0.36522 -0.36756 -0.36990 -0.37223 -0.37457 -0.37691 -0.37924 -0.38158 -0.38391 -0.38624 -0.38858 -0.39091 -0.39324 -0.39557 -0.39790 -0.40023 -0.40256 -0.40489 -0.40722 -0.40955 -0.41188 -0.41421 -0.41653 -0.41886 -0.42119 -0.42351 -0.42584 -0.42816 -0.43049 -0.43281 -0.43514 -0.43747 -0.43979 -0.44212 -0.44444 -0.44677 -0.44909 -0.45142 diff --git a/examples/TuningTest.py b/examples/TuningTest.py index 5dbd000ca..0b2544f31 100644 --- a/examples/TuningTest.py +++ b/examples/TuningTest.py @@ -1,35 +1,32 @@ # Controller Tuning Example -# Load ccblade array outputs, run controller tuning script, make sure it all looks good. +# Load gain schedules, plot blade pitch proportional gain -#%% import numpy as np from scipy import interpolate +from WTC_toolbox import controller as wtc_controller from WTC_toolbox import turbine as wtc_turbine from WTC_toolbox import sim as wtc_sim -# Initialiize a turbine class - +# Initialiize turbine and controller classes turbine = wtc_turbine.Turbine() +controller = wtc_controller.Controller() -# Fast input file +# Fast input file and Cp surface text file FAST_InputFile = '5MW_Land.fst' FAST_directory = '/Users/nabbas/Documents/TurbineModels/NREL_5MW/5MW_Land' - -# Load quick from python -# turbine.load('examples/saved_turbine.p') - txt_filename = 'examples/Cp_Ct_Cq.txt' drivetrain_inertia = 40469564.444 turbine.load_from_fast(FAST_InputFile,FAST_directory,drivetrain_inertia,dev_branch=True,rot_source='txt', txt_filename=txt_filename) +# Load controller +controller.tune_controller(turbine) -#%% Run controller -from WTC_toolbox import controller as wtc_controller -controller = wtc_controller.Controller() - -controller.turbine_params +# Plot +import matplotlib.pyplot as pl -#%% +pl.plot(controller.v[len(controller.vs_gain_schedule.Kp):], controller.pc_gain_schedule.Kp) +pl.xlabel('Wind Speed') +pl.ylabel('Proportional Gain')