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Coil Forces

This code was written in order to study the forces and magnetic fields generated inside and between stellarator coils, in order to be able to run simulations of coil displacement.

Executing program

First, create a "results" and a "results_txt" folder to run this code

Default inputs are 150000 Amperes of current running through the HSX coils in this repo, alongside a rectangular cross section 0.3 x 0.06 m

hsx_utilities > Functions for loading file geometry, running the force calculations, plotting, etc.
fig_reproduce > Reproduces all the plots of the original paper this code is based on
tpq_frame > prints out forces in a .txt file in the tpq frame described in the paper
tpq_full > prints out forces in a .txt file in the tpq frame while including contributions from other coils
animate_B > Animates the magnetic field in the coils as we go around the coils length
animate_B_full > Animates the magnetic field in the coils while including contributions from other coils
animate_forces > Animates the forces on the coil as we go around the coils length
animate_forces_full > Animates the forces on the coil while including contributions from other coils
SelfInterForce > Calculates self and inter coil force contributions in the p and q directions from our tpq frame, and plots them

This code is based on this paper, alongside advice from Mark Nornberg and Benedikt Geiger at HSX, UW-Madison:
Efficient calculation of self magnetic field, self-force, and self-inductance for electromagnetic coils. II. Rectangular cross-section, Landreman et al.

Dependencies

Packages required can be seen below:
numpy>=2.0.0
scipy>=1.15.0
jax>=0.9.0
jaxlib>=0.9.0
matplotlib>=3.9.0

About

Python code written to simulate Magnetic Fields and Forces in systems of one or multiple coils, initially used for HSX force measurements.

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