A controls-oriented engineering wake model.
Project description
FLORAF
FLORAF is a compiled backend alternative that plugs into FLORIS to enable automatic gradients and GPU acceleration with Torch.
Installation
Using Python 3.10 - 3.13, install "floraf": pip install floraf.
This will install the appropriate binary wheel which includes:
- Compiled C++ backend
- FLORAF Python code that interfaces the C++ backend to FLORIS
- Fork of FLORIS that includes an interface to the FLORAF backend
The FLORIS fork is still installed as "floris" and it is forked from v4.6.4. You can import FLORIS and use it the same as NREL/FLORIS v4.6.4.
License
Add your license string to one of the following options.
Environment variable:
export FLORAF_LICENSE_KEY=license_key
File:
Either set the FLORAF_LICENSE_FILE environment variable to the path to the license file,
or create set the license key in ~/.floraf/license.key.
The license file should contain only the license key.
Usage
A comparison with the default SLSQP-based layout optimization is available at
examples/gradient_layout_optimization.py.
Below is a reduced form of that example.
import time
import numpy as np
import torch
from floris import FlorisModel, WindRose
### Helpers for setting up the model and gradient optimization
def _get_fmodel(cpp=False, device="cpu") -> FlorisModel:
"""Build a FLORIS model from defaults."""
fdefaults = FlorisModel.get_defaults()
fdefaults["logging"]["console"]["enable"] = False
fdefaults["logging"]["file"]["enable"] = False
if cpp:
fdefaults["solver"]["backend"] = "cpp"
fdefaults["solver"]["device"] = device
fdefaults["solver"]["cpp_solver"] = "sequential"
fdefaults["wake"]["enable_secondary_steering"] = False
fdefaults["wake"]["enable_yaw_added_recovery"] = False
fdefaults["wake"]["enable_transverse_velocities"] = False
fdefaults["wake"]["enable_active_wake_mixing"] = False
fmodel = FlorisModel(fdefaults)
return fmodel
def _aep_tensor(fmodel, freq_tensor):
"""Return a scalar AEP tensor with grad_fn attached to the layout inputs.
Requires `fmodel.core._cpp_farm.layout_x` / `fmodel.core._cpp_farm.layout_y` to already be
set to the `requires_grad=True` tensors before calling this function.
"""
fmodel.run()
power = fmodel.core.get_farm_power_tensor() # [F, T]
farm_power_per_findex = power.sum(dim=1) # [F]
return (freq_tensor * farm_power_per_findex).sum() * 8760.0
def _wind_rose(n_wdirs, n_wspeeds, ti):
"""Synthetic North Sea wind rose.
Directional distribution has a dominant SW peak (~240°) and a secondary
NNW peak (~340°).
Wind speeds follow a Weibull distribution (k=2, c=11 m/s, mean ≈ 9.8 m/s).
TI is applied uniformly for all bins.
"""
wd = np.linspace(0.0, 360.0, n_wdirs, endpoint=False)
ws = np.linspace(4.0, 18.0, n_wspeeds)
# Directional PDF: dominant SW (~240°), secondary NNW (~340°), broad S shoulder
dir_freq = (
0.45 * np.exp(-0.5 * ((wd - 240) % 360 / 38) ** 2)
# + 0.25 * np.exp(-0.5 * ((wd - 340) % 360 / 30) ** 2)
# + 0.10 * np.exp(-0.5 * ((wd - 200) % 360 / 25) ** 2)
+ 0.04 # uniform background
)
dir_freq /= dir_freq.sum()
# Speed PDF: Weibull (k=2, c=11 m/s) evaluated at bin centres
k, c = 2.0, 11.0
spd_freq = (k / c) * (ws / c) ** (k - 1) * np.exp(-(ws / c) ** k)
spd_freq /= spd_freq.sum()
# Joint frequency table [n_wdirs, n_wspeeds] (directions independent of speed)
freq_table = np.outer(dir_freq, spd_freq)
freq_table /= freq_table.sum()
return WindRose(
wind_directions=wd,
wind_speeds=ws,
freq_table=freq_table,
ti_table=ti,
)
def _grid_layout(n_turbs, xmin, xmax, ymin, ymax, rng):
"""Place turbines on a rough grid and add a jitter."""
cols = int(np.ceil(np.sqrt(n_turbs)))
rows = int(np.ceil(n_turbs / cols))
xs = np.linspace(xmin + 0.1 * (xmax - xmin), xmax - 0.1 * (xmax - xmin), cols)
ys = np.linspace(ymin + 0.1 * (ymax - ymin), ymax - 0.1 * (ymax - ymin), rows)
grid_x, grid_y = np.meshgrid(xs, ys)
grid_x = grid_x.ravel()[:n_turbs]
grid_y = grid_y.ravel()[:n_turbs]
jitter = 0.05 * min(xmax - xmin, ymax - ymin)
grid_x += rng.uniform(-jitter, jitter, n_turbs)
grid_y += rng.uniform(-jitter, jitter, n_turbs)
grid_x = np.clip(grid_x, xmin, xmax)
grid_y = np.clip(grid_y, ymin, ymax)
return grid_x, grid_y
def _spacing_penalty(lx, ly, min_dist):
"""Return a non-negative penalty that is zero when all turbines satisfy the
minimum separation *min_dist* (m). Uses a smooth quadratic ramp so that
gradients always exist.
"""
pos = torch.stack([lx, ly], dim=1) # [T, 2]
diff = pos.unsqueeze(0) - pos.unsqueeze(1) # [T, T, 2]
dist = diff.pow(2).sum(dim=2).clamp(min=1.0).sqrt() # [T, T]
T = lx.shape[0]
idx_i, idx_j = torch.triu_indices(T, T, offset=1)
pair_dist = dist[idx_i, idx_j]
return torch.relu(min_dist - pair_dist).pow(2).sum()
### Gradient descent
def run_gradient_optimization(
n_turbs: int,
wind_rose: WindRose,
n_iters: int,
lr: float,
seed: int = 42,
):
"""Run gradient-based layout optimization."""
rng = np.random.default_rng(seed)
D = 126.0 # NREL 5 MW rotor diameter (m)
min_dist = 2 * D # minimum turbine spacing
# Farm boundary
xmin, xmax = 0.0, 2000.0
ymin, ymax = 0.0, 1500.0
# Wind resource
freq_np = wind_rose.unpack_freq() # [F], sums to ≈1
freq_t = torch.tensor(freq_np, dtype=torch.float32)
# Initial layout: grid + jitter (stays within boundaries)
lx_init_np, ly_init_np = _grid_layout(n_turbs, xmin, xmax, ymin, ymax, rng)
# FLORIS model with FLORAF backend
fmodel = _get_fmodel(cpp=True, device="cpu")
fmodel.set(
layout_x=lx_init_np.tolist(),
layout_y=ly_init_np.tolist(),
wind_data=wind_rose,
)
# Optimization variables - leaf tensors for layout positions
lx = torch.tensor(lx_init_np, dtype=torch.float32, requires_grad=True)
ly = torch.tensor(ly_init_np, dtype=torch.float32, requires_grad=True)
# Plant the grad-tracked tensors into the FLORAF farm once
fmodel.core._cpp_farm.layout_x = lx
fmodel.core._cpp_farm.layout_y = ly
# Baseline AEP
with torch.no_grad():
base_aep_t = _aep_tensor(fmodel, freq_t)
base_aep = base_aep_t.item()
print(f"\nInitial AEP : {base_aep/1e9:8.4f} GWh/yr")
# Penalty scale, this weights the spacing penalty based on the severity of the incursion
# into the min_dist constraint.
# The penalty is zero when all pairs are above the minimum distance.
# It grows quadratically as pairs get closer than min_dist.
# The coefficient is chosen so that a ~1 D spacing violation produces a penalty comparable
# to a ~0.1% AEP step.
spacing_coeff = 1e4
# Adam optimizer
optimizer = torch.optim.Adam([lx, ly], lr=lr)
aep_history = [base_aep]
t0 = time.perf_counter()
for step in range(1, n_iters + 1):
optimizer.zero_grad()
# Forward: AEP through the C++ solver (grad_fn preserved)
aep = _aep_tensor(fmodel, freq_t)
# Penalty: minimum-spacing constraint
penalty = spacing_coeff * _spacing_penalty(lx, ly, min_dist)
# Maximise AEP via minimise negative AEP + penalty
loss = -aep + penalty
loss.backward()
optimizer.step()
# Hard boundary projection: clamp positions back into the domain
with torch.no_grad():
lx.clamp_(xmin, xmax)
ly.clamp_(ymin, ymax)
# Zero out gradients for clamped dims to avoid bias buildup
lx.grad.zero_()
ly.grad.zero_()
current_aep = aep.item()
aep_history.append(current_aep)
improvement = 100.0 * (current_aep / base_aep - 1.0)
print(f" Step {step:4d}/{n_iters} | AEP = {current_aep/1e9:.4f} GWh/yr | Δ = {improvement:+.2f}%")
elapsed = time.perf_counter() - t0
final_aep = aep_history[-1]
print(f"\nGradient opt finished in {elapsed:.1f} s ({n_iters} iterations)")
print(f"Final AEP : {final_aep/1e9:8.4f} GWh/yr ({100*(final_aep/base_aep - 1):+.2f}% vs initial)\n")
return aep_history
if __name__ == "__main__":
N_TURBS = 6
N_WDIRS = 36
N_WSPEEDS = 5
N_ITERATIONS = 100
LEARNING_RATE = 25.0 # meters; this is the step size for each iteration
SEED = 42
wind_rose = _wind_rose(N_WDIRS, N_WSPEEDS, ti=0.06)
aep_history = run_gradient_optimization(
n_turbs=N_TURBS,
wind_rose=wind_rose,
n_iters=N_ITERATIONS,
lr=LEARNING_RATE,
seed=SEED,
)
pct = 100 * (aep_history[-1] / aep_history[0] - 1)
print(f"AEP improvement: {pct:+.2f}%")
FLORIS Wake Modeling and Wind Farm Controls Software
FLORIS is a controls-focused wind farm simulation software incorporating steady-state engineering wake models into a performance-focused Python framework. It has been in active development at NLR since 2013 and the latest release is FLORIS v.4.6.4. Online documentation is available at https://natlabrockies.github.io/floris.
The software is in active development and engagement with the development team is highly encouraged. If you are interested in using FLORIS to conduct studies of a wind farm or extending FLORIS to include your own wake model, please join the conversation in GitHub Discussions!
WETO software
FLORIS is primarily developed with the support from the U.S. Department of Energy and is part of the WETO Software Stack. For more information and other integrated modeling software, see:
Installation
If upgrading from a previous version, it is recommended to install FLORIS v4 into a new virtual environment. If you intend to use pyOptSparse with FLORIS, it is recommended to install that package first before installing FLORIS.
FLORIS can be installed by downloading the source code or via the PyPI
package manager with pip.
The simplest method is with pip by using this command:
pip install floris
Developers and anyone who intends to inspect the source code
can install FLORIS by downloading the git repository
from GitHub with git and use pip to locally install it.
It is highly recommended to use a Python virtual environment manager
such as conda
in order to maintain a clean and sandboxed environment. The following
commands in a terminal or shell will download and install FLORIS.
# Download the source code from the `main` branch
git clone -b main https://github.com/NatLabRockies/floris.git
# If using conda, be sure to activate your environment prior to installing
# conda activate <env name>
# If using pyOptSpare, install it first
conda install -c conda-forge pyoptsparse
# Install FLORIS
pip install -e floris
With both methods, the installation can be verified by opening a Python interpreter and importing FLORIS:
>>> import floris
>>> help(floris)
Help on package floris:
NAME
floris
PACKAGE CONTENTS
convert_floris_input_v3_to_v4
convert_turbine_v3_to_v4
core (package)
cut_plane
floris_model
flow_visualization
layout_visualization
logging_manager
optimization (package)
parallel_floris_model
turbine_library (package)
type_dec
uncertain_floris_model
utilities
version
wind_data
VERSION
4.6.4
FILE
~/floris/floris/__init__.py
It is important to regularly check for new updates and releases as new features, improvements, and bug fixes will be issued on an ongoing basis.
Quick Start
FLORIS is a Python package run on the command line typically by providing
an input file with an initial configuration. It can be installed with
pip install floris (see installation).
The typical entry point is
FlorisModel
which accepts the path to the input file as an argument. From there,
changes can be made to the initial configuration through the
FlorisModel.set
routine, and the simulation is executed with
FlorisModel.run.
from floris import FlorisModel
fmodel = FlorisModel("path/to/input.yaml")
fmodel.set(
wind_directions=[i for i in range(10)],
wind_speeds=[8.0]*10,
turbulence_intensities=[0.06]*10
)
fmodel.run()
Finally, results can be analyzed via post-processing functions available within FlorisModel such as
and in two visualization packages: layoutviz and flowviz. A collection of examples describing the creation of simulations as well as analysis and post processing are included in the repository. Examples are also listed in the online documentation.
Engaging on GitHub
FLORIS leverages the following GitHub features to coordinate support and development efforts:
- Discussions: Collaborate to develop ideas for new use cases, features, and software designs, and get support for usage questions
- Issues: Report potential bugs and well-developed feature requests
- Projects: Include current and future work on a timeline and assign a person to "own" it
Generally, the first entry point for the community will be within one of the categories in Discussions. Ideas is a great spot to develop the details for a feature request. Q&A is where to get usage support. Show and tell is a free-form space to show off the things you are doing with FLORIS.
License
BSD 3-Clause License
Copyright (c) 2025, Alliance for Energy Innovation LLC, All rights reserved.
Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
-
Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
-
Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
-
Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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