Derivative-Free Optimization of a Rapid-Cycling Synchrotron
arXiv:2108.04774 · doi:10.1007/s11081-022-09733-4
Abstract
We develop and solve a constrained optimization model to identify an integrable optics rapid-cycling synchrotron lattice design that performs well in several capacities. Our model encodes the design criteria into 78 linear and nonlinear constraints, as well as a single nonsmooth objective, where the objective and some constraints are defined from the output of Synergia, an accelerator simulator. We detail the difficulties of the 23-dimensional simulation-constrained decision space and establish that the space is nonempty. We use a derivative-free manifold sampling algorithm to account for structured nondifferentiability in the objective function. Our numerical results quantify the dependence of solutions on constraint parameters and the effect of the form of objective function.
arXiv comment24 pages, 12 figures
References in corpus (15)
- Derivative-free optimization methods
- Bayesian optimization of a free-electron laser
- IOTA (Integrable Optics Test Accelerator): Facility and Experimental Beam Physics Program
- Machine Learning for Orders of Magnitude Speedup in Multi-Objective Optimization of Particle Accelerator Systems
- Nonlinear Accelerator Lattices with One and Two Analytic Invariants
- Multi-Objective Bayesian Optimization for Accelerator Tuning
- Fast MCMC sampling algorithms on polytopes
- Fermilab Proton Accelerator Complex Status and Improvement Plans
- An Upgrade Path for the Fermilab Accelerator Complex
- Rapid-Cycling Synchrotron for Multi-Megawatt Proton Facility at Fermilab
- Effects of Nonlinear Decoherence on Halo Formation
- Quasi-integrable optics for a small electron recirculator
- Manifold Sampling for Optimizing Nonsmooth Nonconvex Compositions
- Averaged Invariants in Storage Rings with Synchrotron Motion
- Chromatic and Dispersive Effects in Nonlinear Integrable Optics