From f2269f2160f13ae24c607c48286e31973d5ed1ea Mon Sep 17 00:00:00 2001 From: bayc Date: Tue, 15 Mar 2022 16:07:34 -0600 Subject: [PATCH 1/9] adding turbopark model, solver, and input file --- examples/inputs/turbopark.yaml | 92 +++++++ floris/simulation/__init__.py | 2 +- floris/simulation/floris.py | 13 +- floris/simulation/grid.py | 17 +- floris/simulation/solver.py | 219 +++++++++++++++ floris/simulation/wake.py | 6 +- floris/simulation/wake_velocity/__init__.py | 1 + floris/simulation/wake_velocity/turbopark.py | 158 +++++++++++ .../wake_velocity/turbopark_lookup_table.mat | Bin 0 -> 9163212 bytes floris/tools/floris_interface.py | 3 + tests/conftest.py | 20 +- tests/reg_tests/turbopark_regression_test.py | 256 ++++++++++++++++++ 12 files changed, 768 insertions(+), 19 deletions(-) create mode 100644 examples/inputs/turbopark.yaml create mode 100644 floris/simulation/wake_velocity/turbopark.py create mode 100644 floris/simulation/wake_velocity/turbopark_lookup_table.mat create mode 100644 tests/reg_tests/turbopark_regression_test.py diff --git a/examples/inputs/turbopark.yaml b/examples/inputs/turbopark.yaml new file mode 100644 index 000000000..85bda5fef --- /dev/null +++ b/examples/inputs/turbopark.yaml @@ -0,0 +1,92 @@ + +name: TurbOPark +description: Three turbines using TurbOPark model +floris_version: v3.0.0 + +logging: + console: + enable: false + level: WARNING + file: + enable: false + level: WARNING + +solver: + type: turbine_grid + turbine_grid_points: 1 + +farm: + layout_x: + - 0.0 + - 630.0 + - 1260.0 + layout_y: + - 0.0 + - 0.0 + - 0.0 + turbine_type: + - nrel_5MW + +flow_field: + air_density: 1.225 + reference_wind_height: 90.0 + turbulence_intensity: 0.06 + wind_directions: + - 270.0 + wind_shear: 0.12 + wind_speeds: + - 8.0 + wind_veer: 0.0 + +wake: + model_strings: + combination_model: fls + deflection_model: gauss + turbulence_model: crespo_hernandez + velocity_model: turbopark + + enable_secondary_steering: false + enable_yaw_added_recovery: false + enable_transverse_velocities: false + + wake_deflection_parameters: + gauss: + ad: 0.0 + alpha: 0.58 + bd: 0.0 + beta: 0.077 + dm: 1.0 + ka: 0.38 + kb: 0.004 + jimenez: + ad: 0.0 + bd: 0.0 + kd: 0.05 + + wake_velocity_parameters: + cc: + a_s: 0.179367259 + b_s: 0.0118889215 + c_s1: 0.0563691592 + c_s2: 0.13290157 + a_f: 3.11 + b_f: -0.68 + c_f: 2.41 + alpha_mod: 1.0 + gauss: + alpha: 0.58 + beta: 0.077 + ka: 0.38 + kb: 0.004 + jensen: + we: 0.05 + turbopark: + A: 0.04 + sigma_max_rel: 4.0 + + wake_turbulence_parameters: + crespo_hernandez: + initial: 0.1 + constant: 0.5 + ai: 0.8 + downstream: -0.32 diff --git a/floris/simulation/__init__.py b/floris/simulation/__init__.py index 4074c9fd1..ae17a7dfb 100644 --- a/floris/simulation/__init__.py +++ b/floris/simulation/__init__.py @@ -39,7 +39,7 @@ from .grid import Grid, TurbineGrid, FlowFieldGrid, FlowFieldPlanarGrid from .flow_field import FlowField from .wake import WakeModelManager -from .solver import sequential_solver, full_flow_sequential_solver, cc_solver, full_flow_cc_solver +from .solver import sequential_solver, full_flow_sequential_solver, cc_solver, full_flow_cc_solver, turbopark_solver, full_flow_turbopark_solver from .floris import Floris diff --git a/floris/simulation/floris.py b/floris/simulation/floris.py index afd3c659f..2a54ef784 100644 --- a/floris/simulation/floris.py +++ b/floris/simulation/floris.py @@ -32,8 +32,10 @@ FlowFieldPlanarGrid, sequential_solver, cc_solver, + turbopark_solver, full_flow_sequential_solver, - full_flow_cc_solver + full_flow_cc_solver, + full_flow_turbopark_solver, ) from attrs import define, field @@ -151,6 +153,13 @@ def steady_state_atmospheric_condition(self): self.grid, self.wake ) + elif vel_model=="turbopark": + elapsed_time = turbopark_solver( + self.farm, + self.flow_field, + self.grid, + self.wake + ) else: elapsed_time = sequential_solver( self.farm, @@ -179,6 +188,8 @@ def solve_for_viz(self): if vel_model=="cc": full_flow_cc_solver(self.farm, self.flow_field, self.grid, self.wake) + elif vel_model=="turbopark": + full_flow_turbopark_solver(self.farm, self.flow_field, self.grid, self.wake) else: full_flow_sequential_solver(self.farm, self.flow_field, self.grid, self.wake) diff --git a/floris/simulation/grid.py b/floris/simulation/grid.py index 3bfe05e82..2b2442596 100644 --- a/floris/simulation/grid.py +++ b/floris/simulation/grid.py @@ -197,13 +197,16 @@ def set_grid(self) -> None: dtype=floris_float_type ) # Calculate the radial distance from the center of the turbine rotor - disc_grid = np.linspace( - -1 * disc_area_radius, - disc_area_radius, - self.grid_resolution, - dtype=floris_float_type, - axis=1 - ) + if self.grid_resolution == 1: + disc_grid = np.zeros((np.shape(disc_area_radius)[0], 1 )) + else: + disc_grid = np.linspace( + -1 * disc_area_radius, + disc_area_radius, + self.grid_resolution, + dtype=floris_float_type, + axis=1 + ) # Construct the turbine grids # Here, they are already rotated to the correct orientation for each wind direction _x = x[:, :, :, None, None] * template_grid diff --git a/floris/simulation/solver.py b/floris/simulation/solver.py index 84d4edea7..fef1f839d 100644 --- a/floris/simulation/solver.py +++ b/floris/simulation/solver.py @@ -685,3 +685,222 @@ def full_flow_cc_solver(farm: Farm, flow_field: FlowField, flow_field_grid: Flow flow_field.v += v_wake flow_field.w += w_wake flow_field.u = flow_field.u_initial - turb_u_wake + + +def turbopark_solver(farm: Farm, flow_field: FlowField, grid: TurbineGrid, model_manager: WakeModelManager) -> None: + # Algorithm + # For each turbine, calculate its effect on every downstream turbine. + # For the current turbine, we are calculating the deficit that it adds to downstream turbines. + # Integrate this into the main data structure. + # Move on to the next turbine. + + # <> + deflection_model_args = model_manager.deflection_model.prepare_function(grid, flow_field) + deficit_model_args = model_manager.velocity_model.prepare_function(grid, flow_field) + + # This is u_wake + wake_field = np.zeros_like(flow_field.u_initial) + v_wake = np.zeros_like(flow_field.v_initial) + w_wake = np.zeros_like(flow_field.w_initial) + shape = (farm.n_turbines,) + np.shape(flow_field.u_initial) + velocity_deficit = np.zeros(shape) + + turbine_turbulence_intensity = flow_field.turbulence_intensity * np.ones((flow_field.n_wind_directions, flow_field.n_wind_speeds, farm.n_turbines, 1, 1)) + ambient_turbulence_intensity = flow_field.turbulence_intensity + + # Calculate the velocity deficit sequentially from upstream to downstream turbines + for i in range(grid.n_turbines): + # Get the current turbine quantities + x_i = np.mean(grid.x[:, :, i:i+1], axis=(3, 4)) + x_i = x_i[:, :, :, None, None] + y_i = np.mean(grid.y[:, :, i:i+1], axis=(3, 4)) + y_i = y_i[:, :, :, None, None] + z_i = np.mean(grid.z[:, :, i:i+1], axis=(3, 4)) + z_i = z_i[:, :, :, None, None] + + u_i = flow_field.u[:, :, i:i+1] + v_i = flow_field.v[:, :, i:i+1] + + Cts = Ct( + velocities=flow_field.u, + yaw_angle=farm.yaw_angles, + fCt=farm.turbine_fCts, + turbine_type_map=farm.turbine_type_map, + ) + + ct_i = Ct( + velocities=flow_field.u, + yaw_angle=farm.yaw_angles, + fCt=farm.turbine_fCts, + turbine_type_map=farm.turbine_type_map, + ix_filter=[i], + ) + ct_i = ct_i[:, :, 0:1, None, None] # Since we are filtering for the i'th turbine in the Ct function, get the first index here (0:1) + axial_induction_i = axial_induction( + velocities=flow_field.u, + yaw_angle=farm.yaw_angles, + fCt=farm.turbine_fCts, + turbine_type_map=farm.turbine_type_map, + ix_filter=[i], + ) + axial_induction_i = axial_induction_i[:, :, 0:1, None, None] # Since we are filtering for the i'th turbine in the axial induction function, get the first index here (0:1) + turbulence_intensity_i = turbine_turbulence_intensity[:, :, i:i+1] + yaw_angle_i = farm.yaw_angles[:, :, i:i+1, None, None] + hub_height_i = farm.hub_heights[: ,:, i:i+1, None, None] + rotor_diameter_i = farm.rotor_diameters[: ,:, i:i+1, None, None] + TSR_i = farm.TSRs[: ,:, i:i+1, None, None] + + effective_yaw_i = np.zeros_like(yaw_angle_i) + effective_yaw_i += yaw_angle_i + + if model_manager.enable_secondary_steering: + added_yaw = wake_added_yaw( + u_i, + v_i, + flow_field.u_initial, + grid.y[:, :, i:i+1] - y_i, + grid.z[:, :, i:i+1], + rotor_diameter_i, + hub_height_i, + ct_i, + TSR_i, + axial_induction_i + ) + effective_yaw_i += added_yaw + + # Model calculations + # NOTE: exponential + deflection_field = model_manager.deflection_model.function( + x_i, + y_i, + effective_yaw_i, + turbulence_intensity_i, + ct_i, + rotor_diameter_i, + **deflection_model_args + ) + + if model_manager.enable_transverse_velocities: + v_wake, w_wake = calculate_transverse_velocity( + u_i, + flow_field.u_initial, + grid.x - x_i, + grid.y - y_i, + grid.z, + rotor_diameter_i, + hub_height_i, + yaw_angle_i, + ct_i, + TSR_i, + axial_induction_i + ) + + if model_manager.enable_yaw_added_recovery: + I_mixing = yaw_added_turbulence_mixing( + u_i, + turbulence_intensity_i, + v_i, + flow_field.w[:, :, i:i+1], + v_wake[:, :, i:i+1], + w_wake[:, :, i:i+1], + ) + gch_gain = 2 + turbine_turbulence_intensity[:, :, i:i+1] = turbulence_intensity_i + gch_gain * I_mixing + + # NOTE: exponential + velocity_deficit = model_manager.velocity_model.function( + x_i, + y_i, + z_i, + turbine_turbulence_intensity, + Cts[:, :, :, None, None], + rotor_diameter_i, + farm.rotor_diameters[:, :, :, None, None], + i, + **deficit_model_args + ) + + wake_field = model_manager.combination_model.function( + wake_field, + velocity_deficit * flow_field.u_initial + ) + + wake_added_turbulence_intensity = model_manager.turbulence_model.function( + ambient_turbulence_intensity, + grid.x, + x_i, + rotor_diameter_i, + axial_induction_i + ) + + # TODO: leaving this in for GCH quantities; will need to find another way to compute area_overlap + # as the current wake deficit is solved for only upstream turbines; could use WAT_upstream + # Calculate wake overlap for wake-added turbulence (WAT) + area_overlap = np.sum(velocity_deficit * flow_field.u_initial > 0.05, axis=(3, 4)) / (grid.grid_resolution * grid.grid_resolution) + area_overlap = area_overlap[:, :, :, None, None] + + # Modify wake added turbulence by wake area overlap + downstream_influence_length = 15 * rotor_diameter_i + ti_added = ( + area_overlap + * np.nan_to_num(wake_added_turbulence_intensity, posinf=0.0) + * np.array(grid.x > x_i) + * np.array(np.abs(y_i - grid.y) < 2 * rotor_diameter_i) + * np.array(grid.x <= downstream_influence_length + x_i) + ) + + # Combine turbine TIs with WAT + turbine_turbulence_intensity = np.maximum( np.sqrt( ti_added ** 2 + ambient_turbulence_intensity ** 2 ) , turbine_turbulence_intensity ) + + flow_field.u = flow_field.u_initial - wake_field + flow_field.v += v_wake + flow_field.w += w_wake + + flow_field.turbulence_intensity_field = np.mean(turbine_turbulence_intensity, axis=(3,4)) + flow_field.turbulence_intensity_field = flow_field.turbulence_intensity_field[:,:,:,None,None] + + +def full_flow_turbopark_solver(farm: Farm, flow_field: FlowField, flow_field_grid: FlowFieldGrid, model_manager: WakeModelManager) -> None: + raise NotImplementedError("Plotting for the TurbOPark model is not currently implemented.") + + # TODO: Below is a first attempt at plotting, and uses just the values on the rotor. The current TurbOPark model requires that + # points to be calculated are only at turbine locations. Modification will be required to allow for full flow field calculations. + + # # Get the flow quantities and turbine performance + # turbine_grid_farm = copy.deepcopy(farm) + # turbine_grid_flow_field = copy.deepcopy(flow_field) + + # turbine_grid_farm.construct_turbine_map() + # turbine_grid_farm.construct_turbine_fCts() + # turbine_grid_farm.construct_turbine_fCps() + # turbine_grid_farm.construct_turbine_power_interps() + # turbine_grid_farm.construct_hub_heights() + # turbine_grid_farm.construct_rotor_diameters() + # turbine_grid_farm.construct_turbine_TSRs() + # turbine_grid_farm.construc_turbine_pPs() + # turbine_grid_farm.construct_coordinates() + + + # turbine_grid = TurbineGrid( + # turbine_coordinates=turbine_grid_farm.coordinates, + # reference_turbine_diameter=turbine_grid_farm.rotor_diameters, + # wind_directions=turbine_grid_flow_field.wind_directions, + # wind_speeds=turbine_grid_flow_field.wind_speeds, + # grid_resolution=11, + # ) + # turbine_grid_farm.expand_farm_properties( + # turbine_grid_flow_field.n_wind_directions, turbine_grid_flow_field.n_wind_speeds, turbine_grid.sorted_coord_indices + # ) + # turbine_grid_flow_field.initialize_velocity_field(turbine_grid) + # turbine_grid_farm.initialize(turbine_grid.sorted_indices) + # turbopark_solver(turbine_grid_farm, turbine_grid_flow_field, turbine_grid, model_manager) + + + + # flow_field.u = copy.deepcopy(turbine_grid_flow_field.u) + # flow_field.v = copy.deepcopy(turbine_grid_flow_field.v) + # flow_field.w = copy.deepcopy(turbine_grid_flow_field.w) + + # flow_field_grid.x = copy.deepcopy(turbine_grid.x) + # flow_field_grid.y = copy.deepcopy(turbine_grid.y) + # flow_field_grid.z = copy.deepcopy(turbine_grid.z) diff --git a/floris/simulation/wake.py b/floris/simulation/wake.py index 60f98093c..7a68cc003 100644 --- a/floris/simulation/wake.py +++ b/floris/simulation/wake.py @@ -25,7 +25,8 @@ from floris.simulation.wake_velocity import ( CumulativeGaussCurlVelocityDeficit, GaussVelocityDeficit, - JensenVelocityDeficit + JensenVelocityDeficit, + TurbOParkVelocityDeficit, ) @@ -45,7 +46,8 @@ "velocity_model": { "cc": CumulativeGaussCurlVelocityDeficit, "gauss": GaussVelocityDeficit, - "jensen": JensenVelocityDeficit + "jensen": JensenVelocityDeficit, + "turbopark": TurbOParkVelocityDeficit }, } diff --git a/floris/simulation/wake_velocity/__init__.py b/floris/simulation/wake_velocity/__init__.py index 2c0ebd842..7a8195642 100644 --- a/floris/simulation/wake_velocity/__init__.py +++ b/floris/simulation/wake_velocity/__init__.py @@ -16,3 +16,4 @@ from floris.simulation.wake_velocity.cumulative_gauss_curl import CumulativeGaussCurlVelocityDeficit from floris.simulation.wake_velocity.gauss import GaussVelocityDeficit from floris.simulation.wake_velocity.jensen import JensenVelocityDeficit +from floris.simulation.wake_velocity.turbopark import TurbOParkVelocityDeficit diff --git a/floris/simulation/wake_velocity/turbopark.py b/floris/simulation/wake_velocity/turbopark.py new file mode 100644 index 000000000..4f0f34352 --- /dev/null +++ b/floris/simulation/wake_velocity/turbopark.py @@ -0,0 +1,158 @@ +# Copyright 2022 NREL + +# Licensed under the Apache License, Version 2.0 (the "License"); you may not +# use this file except in compliance with the License. You may obtain a copy of +# the License at http://www.apache.org/licenses/LICENSE-2.0 + +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, WITHOUT +# WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the +# License for the specific language governing permissions and limitations under +# the License. + +from typing import Any, Dict + +from attrs import define, field +import numpy as np +from scipy import integrate +from scipy.interpolate import RegularGridInterpolator +import scipy.io +import os + +from floris.simulation import BaseModel +from floris.simulation import FlowField +from floris.simulation import Grid + + +@define +class TurbOParkVelocityDeficit(BaseModel): + """ + Model based on the TurbOPark model. For model details see https://github.com/OrstedRD/TurbOPark, + https://github.com/OrstedRD/TurbOPark/blob/main/TurbOPark%20description.pdf, and + Nygaard, Nicolai Gayle, et al. "Modelling cluster wakes and wind farm blockage." + Journal of Physics: Conference Series. Vol. 1618. No. 6. IOP Publishing, 2020. + """ + A: float = field(default=0.04) + sigma_max_rel: float = field(default=4.0) + overlap_gauss_interp: RegularGridInterpolator = field(init=False) + model_string = "turbopark" + + def prepare_function( + self, + grid: Grid, + flow_field: FlowField, + ) -> Dict[str, Any]: + + kwargs = dict( + x=grid.x, + y=grid.y, + z=grid.z, + u_initial=flow_field.u_initial, + ) + + file_name = os.path.dirname(os.path.realpath(__file__)) + '/turbopark_lookup_table.mat' + mat = scipy.io.loadmat(file_name) + dist = mat['overlap_lookup_table'][0][0][0][0] + radius_down = mat['overlap_lookup_table'][0][0][1][0] + overlap_gauss = mat['overlap_lookup_table'][0][0][2] + + self.overlap_gauss_interp = RegularGridInterpolator((dist, radius_down), overlap_gauss, method='linear', bounds_error=False) + return kwargs + + # @profile + def function( + self, + x_i: np.ndarray, + y_i: np.ndarray, + z_i: np.ndarray, + ambient_turbulence_intensity: np.ndarray, + Cts: np.ndarray, + rotor_diameter_i: np.ndarray, + rotor_diameters: np.ndarray, + i: int, + # enforces the use of the below as keyword arguments and adherence to the + # unpacking of the results from prepare_function() + *, + x: np.ndarray, + y: np.ndarray, + z: np.ndarray, + u_initial: np.ndarray, + ) -> None: + delta_total = np.zeros_like(u_initial) + + # Normalized distances along x between the turbine i and all other turbines + # The downstream_mask is used to avoid negative numbers in the sqrt and the subsequent runtime warnings + # Here self.NUM_EPS is to avoid precision issues with masking, and is slightly larger than 0.0 + downstream_mask = np.array(x_i - x >= self.NUM_EPS) + x_dist = (x_i - x) * downstream_mask / rotor_diameters + + # Radial distance between turbine i and the centerlines of wakes from all real/image turbines + r_dist = np.sqrt((y_i - y) ** 2 + (z_i - z) ** 2) + r_dist_image = np.sqrt((y_i - y) ** 2 + (z_i - (-z)) ** 2) + + Cts[:,:,i:,:,:] = 0.00001 + + # Characteristic wake widths from all turbines relative to turbine i + dw = characteristic_wake_width(x_dist, ambient_turbulence_intensity, Cts, self.A) + epsilon = 0.25 * np.sqrt(np.min(0.5 * (1 + np.sqrt(1 - Cts)) / np.sqrt(1 - Cts), 3, keepdims=True)) + sigma = rotor_diameters * (epsilon + dw) + + # Peak wake deficits + val = 1 - Cts / (8 * (sigma / rotor_diameters) ** 2) + C = 1 - np.sqrt(val) + + # Compute deficit for all turbines and mask to keep upstream and overlapping turbines + effective_width = self.sigma_max_rel * sigma + is_overlapping = effective_width / 2 + rotor_diameter_i / 2 > r_dist + + wtg_overlapping = np.array(x_dist > 0) * is_overlapping + + delta_real = np.empty(np.shape(u_initial)) * np.nan + delta_image = np.empty(np.shape(u_initial)) * np.nan + + # Compute deficits for real turbines and for mirrored (image) turbines + delta_real = C * self.overlap_gauss_interp((r_dist / sigma, rotor_diameter_i / 2 / sigma)) * wtg_overlapping + delta_image = C * self.overlap_gauss_interp((r_dist_image / sigma, rotor_diameter_i / 2 / sigma)) * wtg_overlapping + delta = np.concatenate((delta_real, delta_image), axis=2) + + delta_total[:, :, i, :, :] = np.sqrt(np.sum(np.nan_to_num(delta)**2, axis=2)) + + return delta_total + + +def precalculate_overlap(): + # TODO: first implementation to generate wake overlap lookup table (currently supplied by turbopark_lookup_table.mat.) + # However, the result of this function doesn't generate the same interpolant as the .mat file, so if used, needs to be corrected. + dist = np.arange(0, 10, 1.0) + radius_down = np.arange(0, 20, 1.0) + overlap_gauss = np.zeros((len(dist), len(radius_down))) + + for i in range(len(dist)): + for j in range(len(radius_down)): + if radius_down[j] > 0: + fun = lambda r, theta: np.exp(-(r ** 2 + dist[i] ** 2 - 2 * dist[i] * r * np.cos(theta))/2) * r + out = integrate.dblquad(fun, 0, radius_down[j], lambda x: 0, lambda x: 2 * np.pi)[0] + out = out / (np.pi * radius_down[j] ** 2) + else: + out = np.exp(-(dist[i] ** 2) / 2) + overlap_gauss[i, j] = out + + return dist, radius_down, overlap_gauss + + +def characteristic_wake_width(x_dist, TI, Cts, A): + # Parameter values taken from S. T. Frandsen, “Risø-R-1188(EN) Turbulence and turbulence generated structural + # loading in wind turbine clusters” Risø, Roskilde, Denmark, 2007. + c1 = 1.5 + c2 = 0.8 + + alpha = TI * c1 + beta = c2 * TI / np.sqrt(Cts) + + dw = A * TI / beta * ( + np.sqrt((alpha + beta * x_dist) ** 2 + 1) - np.sqrt(1 + alpha ** 2) - np.log( + ((np.sqrt((alpha + beta * x_dist) ** 2 + 1) + 1) * alpha) / ((np.sqrt(1 + alpha ** 2) + 1) * (alpha + beta * x_dist)) + ) + ) + + return dw diff --git a/floris/simulation/wake_velocity/turbopark_lookup_table.mat b/floris/simulation/wake_velocity/turbopark_lookup_table.mat new file mode 100644 index 0000000000000000000000000000000000000000..c1cb23c0920302f81d2f6e3594680f19b9930c73 GIT binary patch literal 9163212 zcmd43byQp1+V)+%MT=7iPO&1z6SP=^Q)sc`#ft@ZC{7Cmx8lW0afjj>+-Y$OR@@!( zW$&ZU`<(smeZIfmTqJW|_ew@aSc5r#*S#`OmVBcmDMcs1^_)&w@(riCm5mt(-76bo zXLEZ;TVc9a(pvH=g8UqG(vD`v&Ss``_IAQ_Z(PjiWXw$Hc=(Y&!u&$Q`~q~m&v|+1 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