Skip to content

markolalovic/math-mods-camp

Folders and files

NameName
Last commit message
Last commit date

Latest commit

 

History

27 Commits
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Repository files navigation

math-mods-camp

How-to

Dependencies

  • Python 3
  • numpy
  • matplotlib for drawing
  • pandas - only for showing the results in dataframes

Evaluation

To evaluate a layout, see run.py script in src directory, and execute python3 run.py.

See also Toy-Model.ipynb notebook in notebooks directory.

Files

To create a new layout for evaluation and testing using the Tiny Plant, you have to write a list of n=5 heliostat coordinates [xi, yi] in the following format:

[[x1, y1], [x2, y2], ..., [xn, yn]]

and save it as name-of-layout.json to data/layouts directory.

For the layout to be valid, the coordinates have to be in the Tiny Plants field area:

0 <= xi <= 35
0 <= yi <= 10

Heliostats must not be too close, they have to be at least 2 times the radius of a bounding circle appart, this distance is equal to heliostat size:

|(xi, yi) - (xj, yj)| >= 4

And heliostats must not be too close to the receiver

|(xi, yi) - (0, 12)| >= 4

See the existing layouts in data/layouts, for example: grid-layout.json with coordinates for 5 heliostats.

Evaluation results

Below are the current results for a few basic layouts evaluated on the Tiny plant using only a few Sun angles and Sun rays in order to run faster:

Layouts

Layout Energy
Simulated Annealing 65.32
Differential Evolution 65.14
Parabolic 63.14
SQP 61.34
Basin-hopping 61.14
Cobyla 61.04
Theater 60.64
Best Random 59.26
Spiral 55.62
Grid 48.22
Tiny 45.19

Final results

Increasing the number of angles we consider from 17 to 180, and the number of rays from 5 to 50, we see that some layouts were only exploiting the inaccuracies in the Toy model:

Layout Energy
Parabolic 717.42
Differential Evolution 693.42
Theater 693.34
Simulated Annealing 692.04
Cobyla 685.48
Best Random 677.48
SQP 655.44
Basin-hopping 652.77
Spiral 593.12
Grid 534.99
Tiny 522.43

About

Modeling Camp 2022 - Renewable Energies

Resources

License

Stars

Watchers

Forks

Releases

No releases published

Packages

No packages published