# Stellarator Optimization with Constraints

arXiv: https://arxiv.org/abs/2403.11033 · HTML: https://mlsanity.com/paper/2403.11033/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 16 Mar 2024.

## Built on by (most cited first, 2 of 2)

- [ConStellaration: A dataset of QI-like stellarator plasma boundaries and optimization benchmarks](https://mlsanity.com/paper/2506.19583/) (2025)
- [Improving ideal MHD equilibrium accuracy with physics-informed neural networks](https://mlsanity.com/paper/2507.03119/) (2025)

## Abstract (arXiv)

In this work we consider the problem of optimizing a stellarator subject to hard constraints on the design variables and physics properties of the equilibrium. We survey current numerical methods for handling these constraints, and summarize a number of methods from the wider optimization community that have not been used extensively for stellarator optimization thus far. We demonstrate the utility of new methods of constrained optimization by optimizing a QA stellarator for favorable physics properties while preventing strong shaping of the plasma boundary which can be difficult to create with external current sources.