Abstract Details
| status: | file name: | submitted: | by: |
|---|---|---|---|
| approved | hurwitz.pdf | 2024-04-27 16:01:12 | Siena Hurwitz |
Abstracts
Author: Siena M Hurwitz
Requested Type: Poster
Submitted: 2024-04-12 09:32:13
Co-authors: Matt Landreman, Paul Huslage, Tom Antonsen
Contact Info:
University of Maryland, College Park
3368 A. V. Williams Building
College Park, MD 20740
USA
Abstract Text:
The Lorentz forces on electromagnetic coils play an important limiting role in the design of practical magnetic confinement fusion reactors as designs must demonstrate that the forces are within prescribed limits. Unfortunately, the Lorentz force is time-consuming to numerically evaluate due to a source point singularity in the calculation of the self-force and, as a result, is typically reserved for engineering design. A method to rapidly calculate the self-force is desirable as Lorentz forces could be more easily incorporated into the physics optimization itself, though naïve attempts to treat coils as infinitesimally thin in order to reduce computational time fail as the magnetic field unphysically diverges. Instead, we present a novel method for calculating the Lorentz self-force (in addition to similar models for the self-inductance and self-field) using non-singular integral formulae of reduced dimensions that were derived rigorously by dividing the domain of integration of the magnetic vector potential into two regions and exploiting the unique assumptions of each region. We demonstrate that these formulae show good analytic and numerical agreement to their respective high-fidelity calculations yet evaluate ~10,000x faster. Taking advantage of the numerical efficiency of the reduced formulae, we optimize stellarator coils for small Lorentz forces and demonstrate reductions in the maximum force of up to ~50% while still maintaining good flux surfaces.
Comments: