Thermohl is a python package allowing the computation of the temperature in overhead conductors for given transit intensity and environment parameters, or to compute the maximum possible transit intensity given a maximum temperature and environment parameters. A collection of models based on the Energy Balance Principle are available.

Three different solvers are available in the package:

• computation of the steady-state temperature;
• computation of the transient temperature;
• computation of the maximum possible steady-state transit intensity.

All solvers are based on the Energy Balance Principle, where the various power terms are calculated from one of four available models: a CIGRE and an IEEE model as well as two RTE-specific models, OLLA and CNER.

Both steady-state solvers can be used for probabilistic simulations with random input parameters using the Monte Carlo method. Uncertainty quantification can be performed through statistics on the random simulation outputs, as well as through a sensitivity analysis using Sobol indices which allows ranking random input parameters according to their contribution to the total variance of the output.

To install the package using pip, execute the following command:

python -m pip install thermohl@git+https://github.com/rte-france/pallas-thermohl

(not available yet)

First, make sure you have sphinx and the Readthedocs theme installed.

If you use pip, open a terminal and enter the following commands:

pip install sphinx
pip install sphinx_rtd_theme

If you use conda, open an Anaconda Powershell Prompt and enter the following commands:

conda install sphinx
conda install sphinx_rtd_theme

Then, in the same terminal or anaconda prompt, build the doc with:

cd doc
make html

The documentation can then be accessed from doc/_build/html/index.html.

Solvers in thermOHL take a dictionary as an argument, where all keys are strings and all values are either integers, floats or 1D numpy.ndarray of integers or floats. It is important to note that all arrays should have the same size. Missing or None values in the input dictionary are replaced with a default value, available using solver.default_values(), which are read from thermohl/default_values.yaml.

This example uses the IEEE model with default values to compute the surface temperature (°C) of a conductor in steady regime along with the corresponding power terms (W.m^-1) in the Energy Balance Principle.

from thermohl import solver

slvr = solver.ieee({})
temp = slvr.steady_temperature() 

Results from the solver are returned in a pandas.DataFrame:

>>> print(temp)
     T_surf   P_joule  P_solar  P_convection  P_radiation  P_precipitation
0  27.22858  0.273048  9.64051        6.5819     3.331658              0.0

This example uses the IEEE model to compute the maximum current intensity (A) that can be used in a conductor without exceeding a specified maximal temperature (°C), along with the corresponding power terms (W.m^-1) in the Energy Balance Principle. Three ambient temperatures are specified as inputs, meaning that three corresponding maximal intensities will be returned by the solver.

import numpy as np
from thermohl import solver

slvr = solver.ieee(dict(Ta=np.array([0., 15., 30.])))
Tmax = 80.
imax = slvr.steady_intensity(Tmax)

>>> print(imax)
         I_max    P_joule  P_solar  P_convection  P_radiation  P_precipitation
0  1606.946066  83.794845  9.64051     66.750785    26.684570              0.0
1  1408.560563  64.382191  9.64051     50.884473    23.138228              0.0
2  1185.256686  45.586844  9.64051     36.234737    18.992617              0.0