Low emittance lattice optimization using a multi-objective evolutionary algorithm

  • A low emittance lattice design and optimization procedure are systematically studied with a non-dominated sorting-based multi-objective evolutionary algorithm which not only globally searches the low emittance lattice, but also optimizes some beam quantities such as betatron tunes, momentum compaction factor and dispersion function simultaneously. In this paper the detailed algorithm and lattice design procedure are presented. The Hefei light source upgrade project storage ring lattice, with fixed magnet layout, is designed to illustrate this optimization procedure.
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  • [1] Lee S Y, Teng L. Theroretical Minimum Emittance Lattice for an Electron Storage Ring. In: Proceedings of 1991 Particle Accelerator Conference. San Francisco, California, 1991. 2679-26812 Lee S Y. Phys. Rev. E, 1996, 54: 1940-19443 Emery L. Global Optimization of Damping Ring Using a Muti-objective Evolutionary Algorithm. In: Proceedings of 2005 Particle Accelerator Conference. Knoxville, Tennessee, 2005. 2962-29644 YANG L, Robin D, Sannibale F, Steier C. Global Optimization of the Magnetic Lattice Using Genetic Algorithm. In: Proceedings of the 2008 European Particle Accelerator Conference. Genoa, Italy, 2008. 3050-30525 Kalyanmoy Deb. IEEE Trans Evol Comput, 2002, 6: 182-1976 Konak A, Coit D W, Smith A E. Reliability Engineering and System Safety, 2006, 91: 992-10077 Lee S Y. Accelerator Physics. Second Edition. Singapore: World Scienti c, 2004. 466-4888 Dattoli G, Voykov G K, Carpanese M. Phys. Rev. E, 1995, 52: 6809-6817
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GAO Wei-Wei, WANG Lin, LI Wei-Min and HE Duo-Hui. Low emittance lattice optimization using a multi-objective evolutionary algorithm[J]. Chinese Physics C, 2011, 35(9): 859-864. doi: 10.1088/1674-1137/35/9/014
GAO Wei-Wei, WANG Lin, LI Wei-Min and HE Duo-Hui. Low emittance lattice optimization using a multi-objective evolutionary algorithm[J]. Chinese Physics C, 2011, 35(9): 859-864.  doi: 10.1088/1674-1137/35/9/014 shu
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Received: 2010-12-13
Revised: 2011-01-19
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Low emittance lattice optimization using a multi-objective evolutionary algorithm

    Corresponding author: GAO Wei-Wei,
    Corresponding author: WANG Lin,

Abstract: A low emittance lattice design and optimization procedure are systematically studied with a non-dominated sorting-based multi-objective evolutionary algorithm which not only globally searches the low emittance lattice, but also optimizes some beam quantities such as betatron tunes, momentum compaction factor and dispersion function simultaneously. In this paper the detailed algorithm and lattice design procedure are presented. The Hefei light source upgrade project storage ring lattice, with fixed magnet layout, is designed to illustrate this optimization procedure.

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