from __future__ import annotations
from pathlib import Path
import numpy as np
from floris import FlorisModel
from floris.logging_manager import LoggingManager
from floris.type_dec import (
floris_array_converter,
NDArrayBool,
NDArrayFloat,
)
from floris.utilities import wrap_180
from floris.wind_data import (
TimeSeries,
WindDataBase,
WindRose,
WindTIRose,
)
[docs]
class UncertainFlorisModel(LoggingManager):
"""
An interface for handling uncertainty in wind farm simulations.
This class contains a FlorisModel object and adds functionality to handle
uncertainty in wind direction. It is designed to be used similarly to FlorisModel.
In the model, the turbine powers are computed for a set of expanded wind conditions,
given by wd_sample_points, and then the powers are computed as a gaussian blend
of these expanded conditions.
To reduce computational costs, the wind directions, wind speeds, turbulence intensities,
yaw angles, and power setpoints are rounded to specified resolutions. Only unique
conditions from within the expanded set of conditions are run.
Args:
configuration (:py:obj:`dict`): The Floris configuration dictionary or YAML file.
The configuration should have the following inputs specified.
- **flow_field**: See `floris.simulation.flow_field.FlowField` for more details.
- **farm**: See `floris.simulation.farm.Farm` for more details.
- **turbine**: See `floris.simulation.turbine.Turbine` for more details.
- **wake**: See `floris.simulation.wake.WakeManager` for more details.
- **logging**: See `floris.simulation.core.Core` for more details.
wd_resolution (float, optional): The resolution of wind direction for generating
gaussian blends, in degrees. Defaults to 1.0.
ws_resolution (float, optional): The resolution of wind speed, in m/s. Defaults to 1.0.
ti_resolution (float, optional): The resolution of turbulence intensity.
Defaults to 0.01.
yaw_resolution (float, optional): The resolution of yaw angle, in degrees.
Defaults to 1.0.
power_setpoint_resolution (int, optional): The resolution of power setpoints, in kW.
Defaults to 100.
wd_std (float, optional): The standard deviation of wind direction. Defaults to 3.0.
wd_sample_points (list[float], optional): The sample points for wind direction.
If not provided, defaults to [-2 * wd_std, -1 * wd_std, 0, wd_std, 2 * wd_std].
fix_yaw_to_nominal_direction (bool, optional): Fix the yaw angle to the nominal
direction? When False, the yaw misalignment is the same across the sampled wind
directions. When True, the turbine orientation is fixed to the nominal wind
direction such that the yaw misalignment changes depending on the sampled wind
direction. Defaults to False.
verbose (bool, optional): Verbosity flag for printing messages. Defaults to False.
"""
def __init__(
self,
configuration: dict | str | Path,
wd_resolution=1.0, # Degree
ws_resolution=1.0, # m/s
ti_resolution=0.01,
yaw_resolution=1.0, # Degree
power_setpoint_resolution=100, # kW
awc_amplitude_resolution=0.1, # Deg
wd_std=3.0,
wd_sample_points=None,
fix_yaw_to_nominal_direction=False,
verbose=False,
):
# Save these inputs
self.wd_resolution = wd_resolution
self.ws_resolution = ws_resolution
self.ti_resolution = ti_resolution
self.yaw_resolution = yaw_resolution
self.power_setpoint_resolution = power_setpoint_resolution
self.awc_amplitude_resolution = awc_amplitude_resolution
self.wd_std = wd_std
self.fix_yaw_to_nominal_direction = fix_yaw_to_nominal_direction
self.verbose = verbose
# If wd_sample_points, default to 1 and 2 std
if wd_sample_points is None:
wd_sample_points = [-2 * wd_std, -1 * wd_std, 0, wd_std, 2 * wd_std]
self.wd_sample_points = wd_sample_points
self.n_sample_points = len(self.wd_sample_points)
# Get the weights
self.weights = self._get_weights(self.wd_std, self.wd_sample_points)
# Instantiate the un-expanded FlorisModel
self.fmodel_unexpanded = FlorisModel(configuration)
# Call set at this point with no arguments so ready to run
self.set()
# Instantiate the expanded FlorisModel
# self.core_interface = FlorisModel(configuration)
[docs]
def set(
self,
**kwargs,
):
"""
Set the wind farm conditions in the UncertainFlorisModel.
See FlorisModel.set() for details of the contents of kwargs.
Args:
**kwargs: The wind farm conditions to set.
"""
# Call the nominal set function
self.fmodel_unexpanded.set(**kwargs)
self._set_uncertain()
def _set_uncertain(
self,
):
"""
Sets the underlying wind direction (wd), wind speed (ws), turbulence intensity (ti),
yaw angle, and power setpoint for unique conditions, accounting for uncertainties.
"""
# Grab the unexpanded values of all arrays
# These original dimensions are what is returned
self.wind_directions_unexpanded = self.fmodel_unexpanded.core.flow_field.wind_directions
self.wind_speeds_unexpanded = self.fmodel_unexpanded.core.flow_field.wind_speeds
self.turbulence_intensities_unexpanded = (
self.fmodel_unexpanded.core.flow_field.turbulence_intensities
)
self.yaw_angles_unexpanded = self.fmodel_unexpanded.core.farm.yaw_angles
self.power_setpoints_unexpanded = self.fmodel_unexpanded.core.farm.power_setpoints
self.awc_amplitudes_unexpanded = self.fmodel_unexpanded.core.farm.awc_amplitudes
self.n_unexpanded = len(self.wind_directions_unexpanded)
# Combine into the complete unexpanded_inputs
self.unexpanded_inputs = np.hstack(
(
self.wind_directions_unexpanded[:, np.newaxis],
self.wind_speeds_unexpanded[:, np.newaxis],
self.turbulence_intensities_unexpanded[:, np.newaxis],
self.yaw_angles_unexpanded,
self.power_setpoints_unexpanded,
self.awc_amplitudes_unexpanded,
)
)
# Get the rounded inputs
self.rounded_inputs = self._get_rounded_inputs(
self.unexpanded_inputs,
self.wd_resolution,
self.ws_resolution,
self.ti_resolution,
self.yaw_resolution,
self.power_setpoint_resolution,
self.awc_amplitude_resolution,
)
# Get the expanded inputs
self._expanded_wind_directions = self._expand_wind_directions(
self.rounded_inputs,
self.wd_sample_points,
self.fix_yaw_to_nominal_direction,
self.fmodel_unexpanded.core.farm.n_turbines,
)
self.n_expanded = self._expanded_wind_directions.shape[0]
# Get the unique inputs
self.unique_inputs, self.map_to_expanded_inputs = self._get_unique_inputs(
self._expanded_wind_directions
)
self.n_unique = self.unique_inputs.shape[0]
# Display info on sizes
if self.verbose:
print(f"Original num rows: {self.n_unexpanded}")
print(f"Expanded num rows: {self.n_expanded}")
print(f"Unique num rows: {self.n_unique}")
# Initiate the expanded FlorisModel
self.fmodel_expanded = self.fmodel_unexpanded.copy()
# Now set the underlying wd/ws/ti/yaw/setpoint to check only the unique conditions
self.fmodel_expanded.set(
wind_directions=self.unique_inputs[:, 0],
wind_speeds=self.unique_inputs[:, 1],
turbulence_intensities=self.unique_inputs[:, 2],
yaw_angles=self.unique_inputs[:, 3 : 3 + self.fmodel_unexpanded.core.farm.n_turbines],
power_setpoints=self.unique_inputs[
:,
3 + self.fmodel_unexpanded.core.farm.n_turbines : 3
+ 2 * self.fmodel_unexpanded.core.farm.n_turbines,
],
awc_amplitudes=self.unique_inputs[
:,
3 + 2 * self.fmodel_unexpanded.core.farm.n_turbines : 3
+ 3 * self.fmodel_unexpanded.core.farm.n_turbines,
],
)
[docs]
def reset_operation(self):
"""
Reset the operation of the underlying FlorisModel object.
"""
self.fmodel_unexpanded.set(
wind_directions=self.wind_directions_unexpanded,
wind_speeds=self.wind_speeds_unexpanded,
turbulence_intensities=self.turbulence_intensities_unexpanded,
)
self.fmodel_unexpanded.reset_operation()
# Calling set_uncertain again to reset the expanded FlorisModel
self._set_uncertain()
[docs]
def run(self):
"""
Run the simulation in the underlying FlorisModel object.
"""
self.fmodel_expanded.run()
[docs]
def run_no_wake(self):
"""
Run the simulation in the underlying FlorisModel object without wakes.
"""
self.fmodel_expanded.run_no_wake()
def _get_turbine_powers(self):
"""Calculates the power at each turbine in the wind farm.
This method calculates the power at each turbine in the wind farm, considering
the underlying turbine powers and applying a weighted sum to handle uncertainty.
Returns:
NDArrayFloat: An array containing the powers at each turbine for each findex.
"""
# Pass to off-class function
result = map_turbine_powers_uncertain(
unique_turbine_powers=self.fmodel_expanded._get_turbine_powers(),
map_to_expanded_inputs=self.map_to_expanded_inputs,
weights=self.weights,
n_unexpanded=self.n_unexpanded,
n_sample_points=self.n_sample_points,
n_turbines=self.fmodel_unexpanded.core.farm.n_turbines,
)
return result
[docs]
def get_turbine_powers(self):
"""
Calculate the power at each turbine in the wind farm. If WindRose or
WindTIRose is passed in, result is reshaped to match
Returns:
NDArrayFloat: An array containing the powers at each turbine for each findex.
"""
turbine_powers = self._get_turbine_powers()
if self.fmodel_unexpanded.wind_data is not None:
if type(self.fmodel_unexpanded.wind_data) is WindRose:
turbine_powers_rose = np.full(
(
len(self.fmodel_unexpanded.wind_data.wd_flat),
self.fmodel_unexpanded.core.farm.n_turbines,
),
np.nan,
)
turbine_powers_rose[
self.fmodel_unexpanded.wind_data.non_zero_freq_mask, :
] = turbine_powers
turbine_powers = turbine_powers_rose.reshape(
len(self.fmodel_unexpanded.wind_data.wind_directions),
len(self.fmodel_unexpanded.wind_data.wind_speeds),
self.fmodel_unexpanded.core.farm.n_turbines,
)
elif type(self.fmodel_unexpanded.wind_data) is WindTIRose:
turbine_powers_rose = np.full(
(
len(self.fmodel_unexpanded.wind_data.wd_flat),
self.fmodel_unexpanded.core.farm.n_turbines,
),
np.nan,
)
turbine_powers_rose[
self.fmodel_unexpanded.wind_data.non_zero_freq_mask, :
] = turbine_powers
turbine_powers = turbine_powers_rose.reshape(
len(self.fmodel_unexpanded.wind_data.wind_directions),
len(self.fmodel_unexpanded.wind_data.wind_speeds),
len(self.fmodel_unexpanded.wind_data.turbulence_intensities),
self.fmodel_unexpanded.core.farm.n_turbines,
)
return turbine_powers
def _get_farm_power(
self,
turbine_weights=None,
use_turbulence_correction=False,
):
"""
Report wind plant power from instance of floris with uncertainty.
Args:
turbine_weights (NDArrayFloat | list[float] | None, optional):
weighing terms that allow the user to emphasize power at
particular turbines and/or completely ignore the power
from other turbines. This is useful when, for example, you are
modeling multiple wind farms in a single floris object. If you
only want to calculate the power production for one of those
farms and include the wake effects of the neighboring farms,
you can set the turbine_weights for the neighboring farms'
turbines to 0.0. The array of turbine powers from floris
is multiplied with this array in the calculation of the
objective function. If None, this is an array with all values
1.0 and with shape equal to (n_findex, n_turbines).
Defaults to None.
use_turbulence_correction: (bool, optional): When True uses a
turbulence parameter to adjust power output calculations.
Defaults to False. Not currently implemented.
Returns:
float: Sum of wind turbine powers in W.
"""
if use_turbulence_correction:
raise NotImplementedError(
"Turbulence correction is not yet implemented in the power calculation."
)
if turbine_weights is None:
# Default to equal weighing of all turbines when turbine_weights is None
turbine_weights = np.ones(
(
self.n_unexpanded,
self.fmodel_unexpanded.core.farm.n_turbines,
)
)
elif len(np.shape(turbine_weights)) == 1:
# Deal with situation when 1D array is provided
turbine_weights = np.tile(
turbine_weights,
(self.n_unexpanded, 1),
)
# Calculate all turbine powers and apply weights
turbine_powers = self._get_turbine_powers()
turbine_powers = np.multiply(turbine_weights, turbine_powers)
return np.sum(turbine_powers, axis=1)
[docs]
def get_farm_power(
self,
turbine_weights=None,
use_turbulence_correction=False,
):
"""
Report wind plant power from instance of floris. Optionally includes
uncertainty in wind direction and yaw position when determining power.
Uncertainty is included by computing the mean wind farm power for a
distribution of wind direction and yaw position deviations from the
original wind direction and yaw angles.
Args:
turbine_weights (NDArrayFloat | list[float] | None, optional):
weighing terms that allow the user to emphasize power at
particular turbines and/or completely ignore the power
from other turbines. This is useful when, for example, you are
modeling multiple wind farms in a single floris object. If you
only want to calculate the power production for one of those
farms and include the wake effects of the neighboring farms,
you can set the turbine_weights for the neighboring farms'
turbines to 0.0. The array of turbine powers from floris
is multiplied with this array in the calculation of the
objective function. If None, this is an array with all values
1.0 and with shape equal to (n_findex, n_turbines).
Defaults to None.
use_turbulence_correction: (bool, optional): When True uses a
turbulence parameter to adjust power output calculations.
Defaults to False. Not currently implemented.
Returns:
float: Sum of wind turbine powers in W.
"""
farm_power = self._get_farm_power(turbine_weights, use_turbulence_correction)
if self.fmodel_unexpanded.wind_data is not None:
if type(self.fmodel_unexpanded.wind_data) is WindRose:
farm_power_rose = np.full(len(self.fmodel_unexpanded.wind_data.wd_flat), np.nan)
farm_power_rose[self.fmodel_unexpanded.wind_data.non_zero_freq_mask] = farm_power
farm_power = farm_power_rose.reshape(
len(self.fmodel_unexpanded.wind_data.wind_directions),
len(self.fmodel_unexpanded.wind_data.wind_speeds),
)
elif type(self.fmodel_unexpanded.wind_data) is WindTIRose:
farm_power_rose = np.full(len(self.fmodel_unexpanded.wind_data.wd_flat), np.nan)
farm_power_rose[self.fmodel_unexpanded.wind_data.non_zero_freq_mask] = farm_power
farm_power = farm_power_rose.reshape(
len(self.fmodel_unexpanded.wind_data.wind_directions),
len(self.fmodel_unexpanded.wind_data.wind_speeds),
len(self.fmodel_unexpanded.wind_data.turbulence_intensities),
)
return farm_power
[docs]
def get_expected_farm_power(
self,
freq=None,
turbine_weights=None,
) -> float:
"""
Compute the expected (mean) power of the wind farm.
Args:
freq (NDArrayFloat): NumPy array with shape (n_findex)
with the frequencies of each wind direction and
wind speed combination. These frequencies should typically sum
up to 1.0 and are used to weigh the wind farm power for every
condition in calculating the wind farm's AEP. Defaults to None.
If None and a WindData object was supplied, the WindData object's
frequencies will be used. Otherwise, uniform frequencies are assumed
(i.e., a simple mean over the findices is computed).
turbine_weights (NDArrayFloat | list[float] | None, optional):
weighing terms that allow the user to emphasize power at
particular turbines and/or completely ignore the power
from other turbines. This is useful when, for example, you are
modeling multiple wind farms in a single floris object. If you
only want to calculate the power production for one of those
farms and include the wake effects of the neighboring farms,
you can set the turbine_weights for the neighboring farms'
turbines to 0.0. The array of turbine powers from floris
is multiplied with this array in the calculation of the
objective function. If None, this is an array with all values
1.0 and with shape equal to (n_findex,
n_turbines). Defaults to None.
"""
farm_power = self._get_farm_power(turbine_weights=turbine_weights)
if freq is None:
if self.fmodel_unexpanded.wind_data is None:
freq = np.array([1.0 / self.core.flow_field.n_findex])
else:
freq = self.fmodel_unexpanded.wind_data.unpack_freq()
return np.nansum(np.multiply(freq, farm_power))
[docs]
def get_farm_AEP(
self,
freq=None,
turbine_weights=None,
hours_per_year=8760,
) -> float:
"""
Estimate annual energy production (AEP) for distributions of wind speed, wind
direction, frequency of occurrence, and yaw offset.
Args:
freq (NDArrayFloat): NumPy array with shape (n_findex)
with the frequencies of each wind direction and
wind speed combination. These frequencies should typically sum
up to 1.0 and are used to weigh the wind farm power for every
condition in calculating the wind farm's AEP. Defaults to None.
If None and a WindData object was supplied, the WindData object's
frequencies will be used. Otherwise, uniform frequencies are assumed.
turbine_weights (NDArrayFloat | list[float] | None, optional):
weighing terms that allow the user to emphasize power at
particular turbines and/or completely ignore the power
from other turbines. This is useful when, for example, you are
modeling multiple wind farms in a single floris object. If you
only want to calculate the power production for one of those
farms and include the wake effects of the neighboring farms,
you can set the turbine_weights for the neighboring farms'
turbines to 0.0. The array of turbine powers from floris
is multiplied with this array in the calculation of the
objective function. If None, this is an array with all values
1.0 and with shape equal to (n_findex,
n_turbines). Defaults to None.
hours_per_year (float, optional): Number of hours in a year. Defaults to 365 * 24.
Returns:
float:
The Annual Energy Production (AEP) for the wind farm in
watt-hours.
"""
if (
freq is None
and not isinstance(self.fmodel_unexpanded.wind_data, WindRose)
and not isinstance(self.fmodel_unexpanded.wind_data, WindTIRose)
):
self.logger.warning(
"Computing AEP with uniform frequencies. Results results may not reflect annual "
"operation."
)
return (
self.get_expected_farm_power(freq=freq, turbine_weights=turbine_weights)
* hours_per_year
)
def _get_rounded_inputs(
self,
input_array,
wd_resolution=1.0, # Degree
ws_resolution=1.0, # m/s
ti_resolution=0.025,
yaw_resolution=1.0, # Degree
power_setpoint_resolution=100, # kW
awc_amplitude_resolution=0.1, # Deg
):
"""
Round the input array specified resolutions.
Parameters:
input_array (numpy.ndarray): An array of shape (n, 5) with columns
for wind direction (wd), wind speed (ws),
turbulence intensity (tu),
yaw angle (yaw), and power setpoint.
wd_resolution (float): Resolution for rounding wind direction in degrees.
Default is 1.0 degree.
ws_resolution (float): Resolution for rounding wind speed in m/s. Default is 1.0 m/s.
ti_resolution (float): Resolution for rounding turbulence intensity. Default is 0.1.
yaw_resolution (float): Resolution for rounding yaw angle in degrees.
Default is 1.0 degree.
power_setpoint_resolution (int): Resolution for rounding power setpoint in kW.
Default is 100 kW.
awc_amplitude_resolution (float): Resolution for rounding amplitude of awc_amplitude
Returns:
numpy.ndarray: A rounded array of wind turbine parameters with
the same shape as input_array,
where each parameter is rounded to the specified resolution.
"""
# input_array is a nx5 numpy array whose columns are wd, ws, tu, yaw, power_setpoint
# round each column by the respective resolution
rounded_input_array = np.copy(input_array)
rounded_input_array[:, 0] = (
np.round(rounded_input_array[:, 0] / wd_resolution) * wd_resolution
)
rounded_input_array[:, 1] = (
np.round(rounded_input_array[:, 1] / ws_resolution) * ws_resolution
)
rounded_input_array[:, 2] = (
np.round(rounded_input_array[:, 2] / ti_resolution) * ti_resolution
)
rounded_input_array[:, 3 : 3 + self.fmodel_unexpanded.core.farm.n_turbines] = (
np.round(
rounded_input_array[:, 3 : 3 + self.fmodel_unexpanded.core.farm.n_turbines]
/ yaw_resolution
)
* yaw_resolution
)
rounded_input_array[
:,
3 + self.fmodel_unexpanded.core.farm.n_turbines : 3
+ 2 * self.fmodel_unexpanded.core.farm.n_turbines,
] = (
np.round(
rounded_input_array[
:,
3 + self.fmodel_unexpanded.core.farm.n_turbines : 3
+ 2 * self.fmodel_unexpanded.core.farm.n_turbines,
]
/ power_setpoint_resolution
)
* power_setpoint_resolution
)
rounded_input_array[
:,
3 + 2 * self.fmodel_unexpanded.core.farm.n_turbines : 3
+ 3 * self.fmodel_unexpanded.core.farm.n_turbines,
] = (
np.round(
rounded_input_array[
:,
3 + 2 * self.fmodel_unexpanded.core.farm.n_turbines : 3
+ 3 * self.fmodel_unexpanded.core.farm.n_turbines,
]
/ awc_amplitude_resolution
)
* awc_amplitude_resolution
)
return rounded_input_array
def _expand_wind_directions(
self, input_array, wd_sample_points, fix_yaw_to_nominal_direction=False, n_turbines=None
):
"""
Expand wind direction data.
Args:
input_array (numpy.ndarray): 2D numpy array of shape (m, n)
representing wind direction data,
where m is the number of data points and n is the number of features.
The first column
represents wind direction.
wd_sample_points (list): List of integers representing
wind direction sample points.
fix_yaw_to_nominal_direction (bool): Fix the yaw angle to the nominal
direction? Defaults to False
n_turbines (int): The number of turbines in the wind farm. Must be supplied
if fix_yaw_to_nominal_direction is True.
Returns:
numpy.ndarray: Expanded wind direction data as a 2D numpy array
of shape (m * p, n), where
p is the number of sample points.
Raises:
ValueError: If wd_sample_points does not have an odd length or
if the middle element is not 0.
This function takes wind direction data and expands it
by perturbing the wind direction column
based on a list of sample points. It vertically stacks
copies of the input array with the wind
direction column perturbed by each sample point, ensuring
the resultant values are within the range
of 0 to 360.
"""
# Check if wd_sample_points is odd-length and the middle element is 0
if len(wd_sample_points) % 2 != 1:
raise ValueError("wd_sample_points must have an odd length.")
if wd_sample_points[len(wd_sample_points) // 2] != 0:
raise ValueError("The middle element of wd_sample_points must be 0.")
# If fix_yaw_to_nominal_direction is True, n_turbines must be supplied
if fix_yaw_to_nominal_direction and n_turbines is None:
raise ValueError("The number of turbines in the wind farm must be supplied")
num_samples = len(wd_sample_points)
num_rows = input_array.shape[0]
# Create an array to hold the expanded data
output_array = np.zeros((num_rows * num_samples, input_array.shape[1]))
# Repeat each row of input_array for each sample point
for i in range(num_samples):
start_idx = i * num_rows
end_idx = start_idx + num_rows
output_array[start_idx:end_idx, :] = input_array.copy()
# Perturb the wd column by the current sample point
output_array[start_idx:end_idx, 0] = (
output_array[start_idx:end_idx, 0] + wd_sample_points[i]
) % 360
# If fix_yaw_to_nominal_direction is True, set the yaw angle to relative
# to the nominal wind direction
if fix_yaw_to_nominal_direction:
# Wrap between -180 and 180
output_array[start_idx:end_idx, 3 : 3 + n_turbines] = wrap_180(
output_array[start_idx:end_idx, 3 : 3 + n_turbines] + wd_sample_points[i]
)
return output_array
def _get_unique_inputs(self, input_array):
"""
Finds unique rows in the input numpy array and constructs a mapping array
to reconstruct the input array from the unique rows.
Args:
input_array (numpy.ndarray): Input array of shape (m, n).
Returns:
tuple: A tuple containing:
numpy.ndarray: An array of unique rows found in the input_array, of shape (r, n),
where r <= m.
numpy.ndarray: A 1D array of indices mapping each row of the input_array
to the corresponding row in the unique_inputs array.
It represents how to reconstruct the input_array from the unique rows.
"""
unique_inputs, indices, map_to_expanded_inputs = np.unique(
input_array, axis=0, return_index=True, return_inverse=True
)
return unique_inputs, map_to_expanded_inputs
def _get_weights(self, wd_std, wd_sample_points):
"""Generates weights based on a Gaussian distribution sampled at specific x-locations.
Args:
wd_std (float): The standard deviation of the Gaussian distribution.
wd_sample_points (array-like): The x-locations where the Gaussian function is sampled.
Returns:
numpy.ndarray: An array of weights, generated using a Gaussian distribution with mean 0
and standard deviation wd_std, sampled at the specified x-locations.
The weights are normalized so that they sum to 1.
"""
# Calculate the Gaussian function values at sample points
gaussian_values = np.exp(-(np.array(wd_sample_points) ** 2) / (2 * wd_std**2))
# Normalize the Gaussian values to get the weights
weights = gaussian_values / np.sum(gaussian_values)
return weights
[docs]
def copy(self):
"""Create an independent copy of the current UncertainFlorisModel object"""
return UncertainFlorisModel(
self.fmodel_unexpanded.core.as_dict(),
wd_resolution=self.wd_resolution,
ws_resolution=self.ws_resolution,
ti_resolution=self.ti_resolution,
yaw_resolution=self.yaw_resolution,
power_setpoint_resolution=self.power_setpoint_resolution,
awc_amplitude_resolution=self.awc_amplitude_resolution,
wd_std=self.wd_std,
wd_sample_points=self.wd_sample_points,
fix_yaw_to_nominal_direction=self.fix_yaw_to_nominal_direction,
verbose=self.verbose,
)
@property
def layout_x(self):
"""
Wind turbine coordinate information.
Returns:
np.array: Wind turbine x-coordinate.
"""
return self.fmodel_unexpanded.core.farm.layout_x
@property
def layout_y(self):
"""
Wind turbine coordinate information.
Returns:
np.array: Wind turbine y-coordinate.
"""
return self.fmodel_unexpanded.core.farm.layout_y
@property
def wind_directions(self):
"""
Wind direction information.
Returns:
np.array: Wind direction.
"""
return self.fmodel_unexpanded.core.flow_field.wind_directions
@property
def wind_speeds(self):
"""
Wind speed information.
Returns:
np.array: Wind speed.
"""
return self.fmodel_unexpanded.core.flow_field.wind_speeds
@property
def turbulence_intensities(self):
"""
Turbulence intensity information.
Returns:
np.array: Turbulence intensity.
"""
return self.fmodel_unexpanded.core.flow_field.turbulence_intensities
@property
def n_findex(self):
"""
Number of unique wind conditions.
Returns:
int: Number of unique wind conditions.
"""
return self.fmodel_unexpanded.core.flow_field.n_findex
@property
def n_turbines(self):
"""
Number of turbines in the wind farm.
Returns:
int: Number of turbines in the wind farm.
"""
return self.fmodel_unexpanded.core.farm.n_turbines
@property
def core(self):
"""
Returns the core of the unexpanded model.
Returns:
Floris: The core of the unexpanded model.
"""
return self.fmodel_unexpanded.core
[docs]
def map_turbine_powers_uncertain(
unique_turbine_powers,
map_to_expanded_inputs,
weights,
n_unexpanded,
n_sample_points,
n_turbines,
):
"""Calculates the power at each turbine in the wind farm based on uncertainty weights.
This function calculates the power at each turbine in the wind farm, considering
the underlying turbine powers and applying a weighted sum to handle uncertainty.
Args:
unique_turbine_powers (NDArrayFloat): An array of unique turbine powers from the
underlying FlorisModel
map_to_expanded_inputs (NDArrayFloat): An array of indices mapping the unique powers to
the expanded powers
weights (NDArrayFloat): An array of weights for each wind direction sample point
n_unexpanded (int): The number of unexpanded conditions
n_sample_points (int): The number of wind direction sample points
n_turbines (int): The number of turbines in the wind farm
Returns:
NDArrayFloat: An array containing the powers at each turbine for each findex.
"""
# Expand back to the expanded value
expanded_turbine_powers = unique_turbine_powers[map_to_expanded_inputs]
# Reshape the weights array to make it compatible with broadcasting
weights_reshaped = weights[:, np.newaxis]
# Reshape expanded_turbine_powers into blocks
blocks = np.reshape(
expanded_turbine_powers,
(n_unexpanded, n_sample_points, n_turbines),
order="F",
)
# Multiply each block by the corresponding weight
weighted_blocks = blocks * weights_reshaped
# Sum the blocks along the second axis
result = np.sum(weighted_blocks, axis=1)
return result
[docs]
class ApproxFlorisModel(UncertainFlorisModel):
"""
The ApproxFlorisModel overloads the UncertainFlorisModel with the special case that
the wd_sample_points = [0]. This is a special case where no uncertainty is added
but the resolution of the values wind direction, wind speed etc are still reduced
by the specified resolution. This allows for cases to be reused and a faster approximate
result computed
"""
def __init__(
self,
configuration: dict | str | Path,
wd_resolution=1.0, # Degree
ws_resolution=1.0, # m/s
ti_resolution=0.01,
yaw_resolution=1.0, # Degree
power_setpoint_resolution=100, # kW
awc_amplitude_resolution=0.1, # Deg
verbose=False,
):
super().__init__(
configuration,
wd_resolution,
ws_resolution,
ti_resolution,
yaw_resolution,
power_setpoint_resolution,
awc_amplitude_resolution,
wd_std=1.0,
wd_sample_points=[0],
fix_yaw_to_nominal_direction=False,
verbose=verbose,
)
self.wd_resolution = wd_resolution
self.ws_resolution = ws_resolution
self.ti_resolution = ti_resolution
self.yaw_resolution = yaw_resolution
self.power_setpoint_resolution = power_setpoint_resolution
self.awc_amplitude_resolution = awc_amplitude_resolution
