The DESC Stellarator Code Suite Part III: Quasi-symmetry optimization

Abstract

The DESC stellarator optimization code takes advantage of advanced numerical methods to search the full parameter space much faster than conventional tools. Only a single equilibrium solution is needed at each optimization step thanks to automatic differentiation, which efficiently provides exact derivative information. A Gauss-Newton trust-region optimization method uses second-order derivative information to take large steps in parameter space and converges rapidly. With just-in-time compilation and GPU portability, high-dimensional stellarator optimization runs take orders of magnitude less computation time with DESC compared to other approaches. This paper presents the theory of the DESC fixed-boundary local optimization algorithm along with demonstrations of how to easily implement it in the code. Example quasi-symmetry optimizations are shown and compared to results from conventional tools. Three different forms of quasi-symmetry objectives are available in DESC, and their relative advantages are discussed in detail. In the examples presented, the triple product formulation yields the best optimization results in terms of minimized computation time and particle transport. This paper concludes with an explanation of how the modular code suite can be extended to accommodate other types of optimization problems.

18 pages, 5 figures, 2 tables, 2 listings

References in corpus (5)

• Necessary and Sufficient Conditions for Quasisymmetry
• Adjoint approach to calculating shape gradients for three-dimensional magnetic confinement equilibria. Part II: Applications
• Gradient-based optimization of 3D MHD equilibria
• The DESC Stellarator Code Suite Part I: Quick and accurate equilibria computations
• The DESC Stellarator Code Suite Part II: Perturbation and continuation methods

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• Omnigenous umbilic stellarators
• Spectrally accurate, reverse-mode differentiable bounce-averaging algorithm and its applications
• Optimization of quasisymmetric stellarators with self-consistent bootstrap current and energetic particle confinement